diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/BlueCheckerPatternPaper.png b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/BlueCheckerPatternPaper.png
new file mode 100644
index 0000000000000000000000000000000000000000..14c7b714e41d977a2d5e2a9922755ff98ddb175c
Binary files /dev/null and b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/BlueCheckerPatternPaper.png differ
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/README.md b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/README.md
new file mode 100644
index 0000000000000000000000000000000000000000..cc865b58a14038820881b8c2ab703fe995e802c0
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/README.md
@@ -0,0 +1,2 @@
+# 2D-car-dynamics-simulation
+2D car simulator
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/car_data_display.cpython-38.pyc b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/car_data_display.cpython-38.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..c3cfca6800a4f2f6b3770bc527223b1391470697
Binary files /dev/null and b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/car_data_display.cpython-38.pyc differ
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/car_drawer.cpython-38.pyc b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/car_drawer.cpython-38.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..47cd706f1c057b0aeda34d295e0c1e7919d52e46
Binary files /dev/null and b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/car_drawer.cpython-38.pyc differ
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/car_model.cpython-38.pyc b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/car_model.cpython-38.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..74a79d35a7ba7356e8a248f82985edf77782a058
Binary files /dev/null and b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/car_model.cpython-38.pyc differ
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/game.cpython-38.pyc b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/game.cpython-38.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..fd35e5e0c475797deb7570470c68e477665816b1
Binary files /dev/null and b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/game.cpython-38.pyc differ
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/input_providers.cpython-38.pyc b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/input_providers.cpython-38.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..e2fe8953e118a9fdf23c8666f990ba2afce38751
Binary files /dev/null and b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/input_providers.cpython-38.pyc differ
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/pid_controller.cpython-38.pyc b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/pid_controller.cpython-38.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..5ed888f42f483d601101fd9d2aefdd6bb40b193d
Binary files /dev/null and b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/pid_controller.cpython-38.pyc differ
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/simulator.cpython-38.pyc b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/simulator.cpython-38.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..a4adc79b00da47204aefa1f0bcfbfd5a7020124b
Binary files /dev/null and b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/simulator.cpython-38.pyc differ
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/tabu_search.cpython-38.pyc b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/tabu_search.cpython-38.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..d2f149c9c5f49b290c652d8fdfc06f9d73b1fdde
Binary files /dev/null and b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/tabu_search.cpython-38.pyc differ
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/track.cpython-38.pyc b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/track.cpython-38.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..0809e1fdcdc8e7f0b4e6c09398f395ed1a8ac2d1
Binary files /dev/null and b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/track.cpython-38.pyc differ
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/track_2_generator.cpython-38.pyc b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/track_2_generator.cpython-38.pyc
new file mode 100644
index 0000000000000000000000000000000000000000..e5ec0f484f46dd174afab2ccc965bb25d79ce519
Binary files /dev/null and b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/__pycache__/track_2_generator.cpython-38.pyc differ
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/analysis.py b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/analysis.py
new file mode 100644
index 0000000000000000000000000000000000000000..f1ed06de08bbcb7d8a3230582a9be209f2c2faaa
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/analysis.py
@@ -0,0 +1,58 @@
+import xml.etree.ElementTree as ET
+from track_2_generator import create_track
+from shapely.geometry import Polygon, Point, LineString
+import numpy as np
+
+from matplotlib.pyplot import plot, legend
+import json
+
+"""loading track"""
+track_points = create_track(0.5,0,0, (0,0))[:-1]+[(1,0.5)]
+track = Polygon(track_points)
+#outside_l = create_double_circles(0.59375, (0.5,0.5),(1.5,0.5))
+
+"""
+x_shift, y_shift = 1433.0000000000002, -406.0866103896103*2#Tom: 1433.0000000000002, -406.0866103896103*2 / Damien: -540, 960
+R_simu = 150#Tom: 150 / Damien: 350
+R_reel = 0.5
+x_shift, y_shift = x_shift/R_simu-4.77, y_shift/R_simu+2.7 #Tom:-4.77,2.7 / Damien: 1.88, -2.5
+"""
+
+def get_error(name, R_simu, center_x, center_y, start=-1, end=-1):
+    
+    """loading trajectory"""
+    with open(name) as json_file:
+        data = json.load(json_file)
+    
+    x_shift, y_shift = center_x/R_simu, center_y/R_simu
+    
+    time = data["time"]
+    x_l = [(i/R_simu-x_shift)/2+1 for i in data["x"]]
+    y_l = [(i/R_simu-y_shift)/2+0.5 for i in data["y"]]
+    e_l = []
+    
+    if start>=0:
+        x_l = x_l[start:]
+        y_l = y_l[start:]
+        time = time[start:]
+    if end>=0:
+        x_l = x_l[0:end]
+        y_l = y_l[0:end]
+        time = time[0:end]
+
+    for x,y in zip(x_l,y_l):
+        front_center = Point(np.array([x,y]))
+        e = track.distance(front_center)
+        e_l.append(e)
+        
+    return x_l, y_l, time, e_l
+
+#plot([x for x,y in track_points], [y for x,y in track_points])
+#plot([i[0] for i in outside_l], [i[1] for i in outside_l])
+
+prefix = 'paths/'
+suffix = '_normal.json'
+Tom = get_error(prefix+'errorT'+suffix, 150, 1733, -666, 70, 450)
+Damien = get_error(prefix+'errorD'+suffix, 350, 930, 510, 25)
+plot(Damien[2],Damien[3])
+plot(*Tom[2:])
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/car_data_display.py b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/car_data_display.py
new file mode 100644
index 0000000000000000000000000000000000000000..bf1612ced527b9c1829c40807a6fc49f0e5de188
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/car_data_display.py
@@ -0,0 +1,38 @@
+import pygame
+
+
+class CarDataDisplay:
+    def __init__(self, car, track):
+        self.car = car
+        self.track = track
+        pygame.font.init()
+
+    def display_data(self, screen, position=(0, 0), font='Verdana', size=20):
+        font_color = (255, 255, 255)
+        font = pygame.font.SysFont(font, size)
+        vel_long = font.render('Long velocity: ' + str(round(self.car.velocity.x * 3.6, 2)), False, font_color)
+        vel_lat = font.render("Lat velocity: " + str(round(self.car.velocity.y * 3.6, 2)), False, font_color)
+        rpm = font.render('Engine RPM: ' + str(round(self.car.wheel_rpm * self.car.diff_ratio * self.car.gears[self.car.gear], 2)),
+                          False, font_color)
+        gear = font.render('Gear: ' + str(self.car.gear), False, font_color)
+        steering = font.render('Steering: ' + str(self.car.steering), False, font_color)
+        throttle = font.render('Throttle: ' + str(self.car.throttle), False, font_color)
+        brake = font.render('brake: ' + str(self.car.brakes), False, font_color)
+        velocity = font.render('Velocity: ' + str(round((self.car.velocity.x**2+self.car.velocity.y**2)**0.5 * 3.6, 2)), False, font_color)
+        pos_x = font.render('position.x: ' + str(self.track.car_pos[0]), False, font_color)
+        pos_y = font.render('position.y: ' + str(self.track.car_pos[1]), False, font_color)
+        track_phase = font.render('phase: ' + str(self.track.track_phase), False, font_color)
+        lap_number = font.render('lap: ' + str(self.track.lap_nb), False, font_color)
+        
+        #screen.blit(vel_long, position)
+        #screen.blit(vel_lat, (position[0], position[1] + (size * 5 / 4)))
+        #screen.blit(rpm, (position[0], position[1] + 2 * (size * 5 / 4)))
+        #screen.blit(gear, (position[0], position[1] + 3 * (size * 5/4)))
+        screen.blit(velocity, (position[0], position[1] + 1 * (size * 5/4)))
+        screen.blit(steering, (position[0], position[1] + 2 * (size * 5/4)))
+        screen.blit(throttle, (position[0], position[1] + 3 * (size * 5/4)))
+        screen.blit(pos_x, (position[0], position[1] + 4 * (size * 5/4)))
+        screen.blit(pos_y, (position[0], position[1] + 5 * (size * 5/4)))
+        screen.blit(track_phase, (position[0], position[1] + 6 * (size * 5/4)))
+        screen.blit(lap_number, (position[0], position[1] + 7 * (size * 5/4)))
+        #screen.blit(brake, (position[0], position[1] + 6 * (size * 5/4)))
\ No newline at end of file
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/car_drawer.py b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/car_drawer.py
new file mode 100644
index 0000000000000000000000000000000000000000..5e1de8e141d1bacf0a3c7e9c3046fb1f6aadcec5
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/car_drawer.py
@@ -0,0 +1,73 @@
+from shapely.geometry.polygon import Polygon
+from shapely.affinity import rotate
+import pygame
+
+
+class CarDrawer:
+    def __init__(self, length=55, width=20, init_position=(1366/2, 768/2)):
+        self.length = length
+        self.width = width
+        self.trace = []
+        self.init_position = init_position
+        pos_x = self.init_position[0]
+        pos_y = self.init_position[1]
+        self.r_center = (pos_x, pos_y)
+
+        self.car_model = Polygon([(pos_x - self.length * 2 / 10, pos_y - self.width / 2),
+                                  (pos_x - self.length * 2 / 10, pos_y + self.width / 2),
+                                  (pos_x + self.length * 8 / 10, pos_y + self.width / 2),
+                                  (pos_x + self.length * 8 / 10, pos_y - self.width / 2)])
+
+        self.f_axle =    Polygon([(pos_x + self.length * 6 / 10, pos_y + self.width * 5 / 6),
+                                  (pos_x + self.length * 6 / 10, pos_y - self.width * 5 / 6),
+                                  (pos_x + self.length * 6 / 10, pos_y + self.width * 5 / 6)])
+        self.f_tire_1 =  Polygon([(pos_x + self.length * 4.5 / 10, pos_y + self.width * 5 / 6),
+                                  (pos_x + self.length * 4.5 / 10, pos_y + self.width * 7 / 6),
+                                  (pos_x + 7.5 / 10 * self.length, pos_y + self.width * 7 / 6),
+                                  (pos_x + 7.5 / 10 * self.length, pos_y + self.width * 5 / 6)])
+        self.f_tire_2 =  Polygon([(pos_x + self.length * 4.5 / 10, pos_y - self.width * 5 / 6),
+                                  (pos_x + self.length * 4.5 / 10, pos_y - self.width * 7 / 6),
+                                  (pos_x + 7.5 / 10 * self.length, pos_y - self.width * 7 / 6),
+                                  (pos_x + 7.5 / 10 * self.length, pos_y - self.width * 5 / 6)])
+        self.r_axle =    Polygon([(pos_x, pos_y + self.width * 5 / 6),
+                                  (pos_x, pos_y - self.width * 5 / 6),
+                                  (pos_x, pos_y + self.width * 5 / 6)])
+        self.r_tire_1 =  Polygon([(pos_x + self.length * 1.5 / 10, pos_y + self.width * 5 / 6),
+                                  (pos_x + self.length * 1.5 / 10, pos_y + self.width * 7 / 6),
+                                  (pos_x - 1.5 / 10 * self.length, pos_y + self.width * 7 / 6),
+                                  (pos_x - 1.5 / 10 * self.length, pos_y + self.width * 5 / 6)])
+        self.r_tire_2 =  Polygon([(pos_x + self.length * 1.5 / 10, pos_y - self.width * 5 / 6),
+                                  (pos_x + self.length * 1.5 / 10, pos_y - self.width * 7 / 6),
+                                  (pos_x - 1.5 / 10 * self.length, pos_y - self.width * 7 / 6),
+                                  (pos_x - 1.5 / 10 * self.length, pos_y - self.width * 5 / 6)])
+
+    def draw(self, screen, car):
+        car_color = (181, 25, 253)
+        angle = -car.angle
+        steering = car.steering
+
+        car_model = rotate(self.car_model, angle, self.r_center)
+        x, y = car_model.exterior.xy
+        pygame.draw.polygon(screen, (0, 0, 255), [(xx, yy) for xx, yy in zip(x, y)])
+        f_axle = rotate(self.f_axle, angle, self.r_center)
+        x_axle, y_axle = f_axle.exterior.xy
+        pygame.draw.polygon(screen, car_color, [(xx, yy) for xx, yy in zip(x_axle, y_axle)], 2)
+        f_tire_1 = rotate(self.f_tire_1, angle, self.r_center)
+        f_tire_1 = rotate(f_tire_1, - steering, (x_axle[0], y_axle[0]))
+        x, y = f_tire_1.exterior.xy
+        pygame.draw.polygon(screen, (0, 0, 0), [(xx, yy) for xx, yy in zip(x, y)])
+        f_tire_2 = rotate(self.f_tire_2, angle, self.r_center)
+        f_tire_2 = rotate(f_tire_2, - steering, (x_axle[1], y_axle[1]))
+        x, y = f_tire_2.exterior.xy
+        pygame.draw.polygon(screen, (0, 0, 0), [(xx, yy) for xx, yy in zip(x, y)])
+        r_axle = rotate(self.r_axle, angle, self.r_center)
+        x, y = r_axle.exterior.xy
+        pygame.draw.polygon(screen, car_color, [(xx, yy) for xx, yy in zip(x, y)], 2)
+        r_tire_1 = rotate(self.r_tire_1, angle, self.r_center)
+        x, y = r_tire_1.exterior.xy
+        pygame.draw.polygon(screen, (0, 0, 0), [(xx, yy) for xx, yy in zip(x, y)])
+        r_tire_2 = rotate(self.r_tire_2, angle, self.r_center)
+        x, y = r_tire_2.exterior.xy
+        pygame.draw.polygon(screen, (0, 0, 0), [(xx, yy) for xx, yy in zip(x, y)])
+        rect = pygame.Rect(self.r_center[0], self.r_center[1], 5, 5)
+        pygame.draw.rect(screen, (255, 0, 0), rect)
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/car_model.py b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/car_model.py
new file mode 100644
index 0000000000000000000000000000000000000000..f58ba58cc2791045b091fbf9989148258ce5ad84
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/car_model.py
@@ -0,0 +1,133 @@
+from pygame.math import Vector2
+from math import tan, radians, degrees, pi, atan2, sin, cos
+import numpy as np
+import random
+
+class Car:
+    def __init__(self, x, y, angle=0.0, length=5):
+        self.position = Vector2(x, y)
+        self.velocity = Vector2(0.0, 0.0)
+        self.angle = angle
+        self.length = length
+        self.width = 2
+        self.brake_deceleration = 30000
+        self.free_deceleration = 2
+
+        self.acceleration = Vector2(0, 0)
+        self.steering = 0.0
+        self.gear = 0
+        self.throttle = 0
+        self.brakes = 0
+        self.wheel_rpm = 0
+        self.rpm = 2000
+        self.angular_velocity = 0
+        self.force = Vector2(0, 0)
+
+        # Parts:
+        self.engine = Engine()
+
+        # Characteristics:
+        self.gears = {0: 0, 1: 3, 2: 2, 3: 1.5, 4: 1.25, 5: 1, 6: 0.75, -1: -2.9}
+        self.diff_ratio = 3.42
+        self.n = 0.8  # power transfer efficiency
+        self.wheel_radius = 0.35
+        self.mass = 1100
+        self.rear_wheels_mass = 100
+        self.c_drag = 0.4257
+        self.cornering_stiffness_f = -5.0
+        self.cornering_stiffness_r = -5.2
+        self.max_grip = 2.0
+        self.max_steering = 20
+
+    def get_driver_input(self, throttle, gear, brakes, steering_angle):
+        self.brakes = brakes
+        self.gear = gear
+        #on ajoute des vibrations
+        #self.steering+=random.randint(-5,5)
+        self.steering = steering_angle
+        self.throttle = abs(throttle)
+
+    def update(self, dt):
+        self.rpm = self.wheel_rpm * self.diff_ratio * self.gears[self.gear]
+
+        if self.rpm < 2000:
+            self.rpm = 2000
+
+        traction_force = self.engine.get_torque(self.rpm, self.throttle) * self.diff_ratio * \
+                         self.gears[self.gear] * (self.n / self.wheel_radius) - \
+                         self.brake_deceleration * self.brakes * np.sign(self.velocity.x)
+
+        resistance_force = Vector2(- self.c_drag * self.velocity.x * abs(self.velocity.x) - 12.8 * self.velocity.x,
+                                   - self.c_drag * self.velocity.y * abs(self.velocity.y) - 12.8 * self.velocity.y)
+
+        if self.velocity.x > 5.55:
+            yawspeed = 2 * self.angular_velocity
+
+            if self.velocity.x == 0:
+                rot_angle = 0
+                sideslip = 0
+
+            else:
+                rot_angle = atan2(yawspeed, self.velocity.x)
+                sideslip = atan2(self.velocity.y, self.velocity.x)
+
+            slipanglefront = sideslip + rot_angle - radians(self.steering)
+            slipanglerear = sideslip - rot_angle
+
+            flatf = Vector2(0, 0)
+            flatr = Vector2(0, 0)
+
+            flatf.x = 0
+            flatf.y = self.cornering_stiffness_f * slipanglefront
+            flatf.y = min(self.max_grip, flatf.y)
+            flatf.y = max(-self.max_grip, flatf.y)
+            flatf.y *= self.mass * 4.9
+
+            flatr.x = 0
+            flatr.y = self.cornering_stiffness_r * slipanglerear
+            flatr.y = min(self.max_grip, flatr.y)
+            flatr.y = max(- self.max_grip, flatr.y)
+            flatr.y *= self.mass * 4.9
+
+            self.force.x = traction_force + sin(radians(self.steering)) * flatf.x + flatr.x + resistance_force.x
+            self.force.y = cos(radians(self.steering)) * flatf.y + flatr.y + resistance_force.y
+
+            torque = 1.5 * (flatf.y - flatr.y)
+
+            self.acceleration = self.force / self.mass
+            self.wheel_rpm = self.velocity.x / self.wheel_radius * 30 / pi
+
+            self.velocity += self.acceleration * dt
+            self.position += self.velocity.rotate(-self.angle) * dt
+
+            angular_acceleration = torque / 1000
+            self.angular_velocity += angular_acceleration * dt
+            self.angle += degrees(self.angular_velocity) * dt
+
+        else:
+            self.force.x = traction_force + resistance_force.x
+            self.force.y = resistance_force.y
+            self.acceleration = self.force / self.mass
+            self.wheel_rpm = self.velocity.x / self.wheel_radius * 30 / pi
+
+            self.velocity += self.acceleration * dt
+            if self.steering:
+                turning_radius = self.length / tan(radians(self.steering))
+                angular_velocity = self.velocity.x / turning_radius
+            else:
+                angular_velocity = 0
+
+            self.position += self.velocity.rotate(-self.angle) * dt
+            self.angle += degrees(angular_velocity) * dt
+
+
+class Engine:
+    def __init__(self):
+        self.rpm_lut = np.array([1000, 2000, 3000, 4000, 5000, 6000, 7000, 8000, 9000])
+        self.torque_lut = np.array([200, 325, 475, 550, 550, 500, 375, 300, 0])
+
+    def get_torque(self, rpm, throttle):
+        if rpm < 1000:
+            rpm = 1000
+        torque = np.interp(rpm, self.rpm_lut, self.torque_lut)
+        return torque * throttle
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/division_circuit.pdn b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/division_circuit.pdn
new file mode 100644
index 0000000000000000000000000000000000000000..b3ff0a77d6bc13b5959208afab95d8eafb430331
Binary files /dev/null and b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/division_circuit.pdn differ
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/error.json b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/error.json
new file mode 100644
index 0000000000000000000000000000000000000000..21505d068ebb6e1995948f960d3a9999052e9309
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/error.json
@@ -0,0 +1,1928 @@
+{
+    "time": [
+        0.05,
+        0.1,
+        0.15000000000000002,
+        0.2,
+        0.25,
+        0.3,
+        0.35,
+        0.39999999999999997,
+        0.44999999999999996,
+        0.49999999999999994,
+        0.5499999999999999,
+        0.6,
+        0.65,
+        0.7000000000000001,
+        0.7500000000000001,
+        0.8000000000000002,
+        0.8500000000000002,
+        0.9000000000000002,
+        0.9500000000000003,
+        1.0000000000000002,
+        1.0500000000000003,
+        1.1000000000000003,
+        1.1500000000000004,
+        1.2000000000000004,
+        1.2500000000000004,
+        1.3000000000000005,
+        1.3500000000000005,
+        1.4000000000000006,
+        1.4500000000000006,
+        1.5000000000000007,
+        1.5500000000000007,
+        1.6000000000000008,
+        1.6500000000000008,
+        1.7000000000000008,
+        1.7500000000000009,
+        1.800000000000001,
+        1.850000000000001,
+        1.900000000000001,
+        1.950000000000001,
+        2.000000000000001,
+        2.0500000000000007,
+        2.1000000000000005,
+        2.1500000000000004,
+        2.2,
+        2.25,
+        2.3,
+        2.3499999999999996,
+        2.3999999999999995,
+        2.4499999999999993,
+        2.499999999999999,
+        2.549999999999999,
+        2.5999999999999988,
+        2.6499999999999986,
+        2.6999999999999984,
+        2.7499999999999982,
+        2.799999999999998,
+        2.849999999999998,
+        2.8999999999999977,
+        2.9499999999999975,
+        2.9999999999999973,
+        3.049999999999997,
+        3.099999999999997,
+        3.149999999999997,
+        3.1999999999999966,
+        3.2499999999999964,
+        3.2999999999999963,
+        3.349999999999996,
+        3.399999999999996,
+        3.4499999999999957,
+        3.4999999999999956,
+        3.5499999999999954,
+        3.599999999999995,
+        3.649999999999995,
+        3.699999999999995,
+        3.7499999999999947,
+        3.7999999999999945,
+        3.8499999999999943,
+        3.899999999999994,
+        3.949999999999994,
+        3.999999999999994,
+        4.049999999999994,
+        4.099999999999993,
+        4.149999999999993,
+        4.199999999999993,
+        4.249999999999993,
+        4.299999999999993,
+        4.3499999999999925,
+        4.399999999999992,
+        4.449999999999992,
+        4.499999999999992,
+        4.549999999999992,
+        4.599999999999992,
+        4.6499999999999915,
+        4.699999999999991,
+        4.749999999999991,
+        4.799999999999991,
+        4.849999999999991,
+        4.899999999999991,
+        4.94999999999999,
+        4.99999999999999,
+        5.04999999999999,
+        5.09999999999999,
+        5.14999999999999,
+        5.1999999999999895,
+        5.249999999999989,
+        5.299999999999989,
+        5.349999999999989,
+        5.399999999999989,
+        5.449999999999989,
+        5.4999999999999885,
+        5.549999999999988,
+        5.599999999999988,
+        5.649999999999988,
+        5.699999999999988,
+        5.749999999999988,
+        5.799999999999987,
+        5.849999999999987,
+        5.899999999999987,
+        5.949999999999987,
+        5.999999999999987,
+        6.0499999999999865,
+        6.099999999999986,
+        6.149999999999986,
+        6.199999999999986,
+        6.249999999999986,
+        6.299999999999986,
+        6.349999999999985,
+        6.399999999999985,
+        6.449999999999985,
+        6.499999999999985,
+        6.549999999999985,
+        6.5999999999999845,
+        6.649999999999984,
+        6.699999999999984,
+        6.749999999999984,
+        6.799999999999984,
+        6.849999999999984,
+        6.8999999999999835,
+        6.949999999999983,
+        6.999999999999983,
+        7.049999999999983,
+        7.099999999999983,
+        7.149999999999983,
+        7.199999999999982,
+        7.249999999999982,
+        7.299999999999982,
+        7.349999999999982,
+        7.399999999999982,
+        7.4499999999999815,
+        7.499999999999981,
+        7.549999999999981,
+        7.599999999999981,
+        7.649999999999981,
+        7.699999999999981,
+        7.7499999999999805,
+        7.79999999999998,
+        7.84999999999998,
+        7.89999999999998,
+        7.94999999999998,
+        7.99999999999998,
+        8.04999999999998,
+        8.09999999999998,
+        8.14999999999998,
+        8.199999999999982,
+        8.249999999999982,
+        8.299999999999983,
+        8.349999999999984,
+        8.399999999999984,
+        8.449999999999985,
+        8.499999999999986,
+        8.549999999999986,
+        8.599999999999987,
+        8.649999999999988,
+        8.699999999999989,
+        8.74999999999999,
+        8.79999999999999,
+        8.84999999999999,
+        8.899999999999991,
+        8.949999999999992,
+        8.999999999999993,
+        9.049999999999994,
+        9.099999999999994,
+        9.149999999999995,
+        9.199999999999996,
+        9.249999999999996,
+        9.299999999999997,
+        9.349999999999998,
+        9.399999999999999,
+        9.45,
+        9.5,
+        9.55,
+        9.600000000000001,
+        9.650000000000002,
+        9.700000000000003,
+        9.750000000000004,
+        9.800000000000004,
+        9.850000000000005,
+        9.900000000000006,
+        9.950000000000006,
+        10.000000000000007,
+        10.050000000000008,
+        10.100000000000009,
+        10.15000000000001,
+        10.20000000000001,
+        10.25000000000001,
+        10.300000000000011,
+        10.350000000000012,
+        10.400000000000013,
+        10.450000000000014,
+        10.500000000000014,
+        10.550000000000015,
+        10.600000000000016,
+        10.650000000000016,
+        10.700000000000017,
+        10.750000000000018,
+        10.800000000000018,
+        10.85000000000002,
+        10.90000000000002,
+        10.95000000000002,
+        11.000000000000021,
+        11.050000000000022,
+        11.100000000000023,
+        11.150000000000023,
+        11.200000000000024,
+        11.250000000000025,
+        11.300000000000026,
+        11.350000000000026,
+        11.400000000000027,
+        11.450000000000028,
+        11.500000000000028,
+        11.55000000000003,
+        11.60000000000003,
+        11.65000000000003,
+        11.700000000000031,
+        11.750000000000032,
+        11.800000000000033,
+        11.850000000000033,
+        11.900000000000034,
+        11.950000000000035,
+        12.000000000000036,
+        12.050000000000036,
+        12.100000000000037,
+        12.150000000000038,
+        12.200000000000038,
+        12.250000000000039,
+        12.30000000000004,
+        12.35000000000004,
+        12.400000000000041,
+        12.450000000000042,
+        12.500000000000043,
+        12.550000000000043,
+        12.600000000000044,
+        12.650000000000045,
+        12.700000000000045,
+        12.750000000000046,
+        12.800000000000047,
+        12.850000000000048,
+        12.900000000000048,
+        12.950000000000049,
+        13.00000000000005,
+        13.05000000000005,
+        13.100000000000051,
+        13.150000000000052,
+        13.200000000000053,
+        13.250000000000053,
+        13.300000000000054,
+        13.350000000000055,
+        13.400000000000055,
+        13.450000000000056,
+        13.500000000000057,
+        13.550000000000058,
+        13.600000000000058,
+        13.650000000000059,
+        13.70000000000006,
+        13.75000000000006,
+        13.800000000000061,
+        13.850000000000062,
+        13.900000000000063,
+        13.950000000000063,
+        14.000000000000064,
+        14.050000000000065,
+        14.100000000000065,
+        14.150000000000066,
+        14.200000000000067,
+        14.250000000000068,
+        14.300000000000068,
+        14.350000000000069,
+        14.40000000000007,
+        14.45000000000007,
+        14.500000000000071,
+        14.550000000000072,
+        14.600000000000072,
+        14.650000000000073,
+        14.700000000000074,
+        14.750000000000075,
+        14.800000000000075,
+        14.850000000000076,
+        14.900000000000077,
+        14.950000000000077,
+        15.000000000000078,
+        15.050000000000079,
+        15.10000000000008,
+        15.15000000000008,
+        15.200000000000081,
+        15.250000000000082,
+        15.300000000000082,
+        15.350000000000083,
+        15.400000000000084,
+        15.450000000000085,
+        15.500000000000085,
+        15.550000000000086,
+        15.600000000000087,
+        15.650000000000087,
+        15.700000000000088,
+        15.750000000000089,
+        15.80000000000009,
+        15.85000000000009,
+        15.900000000000091,
+        15.950000000000092,
+        16.000000000000092,
+        16.050000000000093,
+        16.100000000000094,
+        16.150000000000095,
+        16.200000000000095,
+        16.250000000000096,
+        16.300000000000097,
+        16.350000000000097,
+        16.400000000000098,
+        16.4500000000001,
+        16.5000000000001,
+        16.5500000000001,
+        16.6000000000001,
+        16.6500000000001,
+        16.700000000000102,
+        16.750000000000103,
+        16.800000000000104,
+        16.850000000000104,
+        16.900000000000105,
+        16.950000000000106,
+        17.000000000000107,
+        17.050000000000107,
+        17.100000000000108,
+        17.15000000000011,
+        17.20000000000011,
+        17.25000000000011,
+        17.30000000000011,
+        17.35000000000011,
+        17.400000000000112,
+        17.450000000000113,
+        17.500000000000114,
+        17.550000000000114,
+        17.600000000000115,
+        17.650000000000116,
+        17.700000000000117,
+        17.750000000000117,
+        17.800000000000118,
+        17.85000000000012,
+        17.90000000000012,
+        17.95000000000012,
+        18.00000000000012,
+        18.05000000000012,
+        18.100000000000122,
+        18.150000000000123,
+        18.200000000000124,
+        18.250000000000124,
+        18.300000000000125,
+        18.350000000000126,
+        18.400000000000126,
+        18.450000000000127,
+        18.500000000000128,
+        18.55000000000013,
+        18.60000000000013,
+        18.65000000000013,
+        18.70000000000013,
+        18.75000000000013,
+        18.800000000000132,
+        18.850000000000133,
+        18.900000000000134,
+        18.950000000000134,
+        19.000000000000135,
+        19.050000000000136,
+        19.100000000000136,
+        19.150000000000137,
+        19.200000000000138,
+        19.25000000000014,
+        19.30000000000014,
+        19.35000000000014,
+        19.40000000000014,
+        19.45000000000014,
+        19.500000000000142,
+        19.550000000000143,
+        19.600000000000144,
+        19.650000000000144,
+        19.700000000000145,
+        19.750000000000146,
+        19.800000000000146,
+        19.850000000000147,
+        19.900000000000148,
+        19.95000000000015,
+        20.00000000000015,
+        20.05000000000015,
+        20.10000000000015,
+        20.15000000000015,
+        20.200000000000152,
+        20.250000000000153,
+        20.300000000000153,
+        20.350000000000154,
+        20.400000000000155,
+        20.450000000000156,
+        20.500000000000156,
+        20.550000000000157,
+        20.600000000000158,
+        20.65000000000016,
+        20.70000000000016,
+        20.75000000000016,
+        20.80000000000016,
+        20.85000000000016,
+        20.900000000000162,
+        20.950000000000163,
+        21.000000000000163,
+        21.050000000000164,
+        21.100000000000165,
+        21.150000000000166,
+        21.200000000000166,
+        21.250000000000167,
+        21.300000000000168,
+        21.35000000000017,
+        21.40000000000017,
+        21.45000000000017,
+        21.50000000000017,
+        21.55000000000017,
+        21.600000000000172,
+        21.650000000000173,
+        21.700000000000173,
+        21.750000000000174,
+        21.800000000000175,
+        21.850000000000176,
+        21.900000000000176,
+        21.950000000000177,
+        22.000000000000178,
+        22.05000000000018,
+        22.10000000000018,
+        22.15000000000018,
+        22.20000000000018,
+        22.25000000000018,
+        22.300000000000182,
+        22.350000000000183,
+        22.400000000000183,
+        22.450000000000184,
+        22.500000000000185,
+        22.550000000000185,
+        22.600000000000186,
+        22.650000000000187,
+        22.700000000000188,
+        22.75000000000019,
+        22.80000000000019,
+        22.85000000000019,
+        22.90000000000019,
+        22.95000000000019,
+        23.000000000000192,
+        23.050000000000193,
+        23.100000000000193,
+        23.150000000000194,
+        23.200000000000195,
+        23.250000000000195,
+        23.300000000000196,
+        23.350000000000197,
+        23.400000000000198,
+        23.4500000000002,
+        23.5000000000002,
+        23.5500000000002,
+        23.6000000000002,
+        23.6500000000002,
+        23.700000000000202,
+        23.750000000000203,
+        23.800000000000203,
+        23.850000000000204,
+        23.900000000000205,
+        23.950000000000205,
+        24.000000000000206,
+        24.050000000000207,
+        24.100000000000207,
+        24.150000000000208,
+        24.20000000000021,
+        24.25000000000021,
+        24.30000000000021,
+        24.35000000000021,
+        24.40000000000021,
+        24.450000000000212,
+        24.500000000000213,
+        24.550000000000214,
+        24.600000000000215,
+        24.650000000000215,
+        24.700000000000216,
+        24.750000000000217,
+        24.800000000000217,
+        24.850000000000218,
+        24.90000000000022,
+        24.95000000000022,
+        25.00000000000022,
+        25.05000000000022,
+        25.10000000000022,
+        25.150000000000222,
+        25.200000000000223,
+        25.250000000000224,
+        25.300000000000225,
+        25.350000000000225,
+        25.400000000000226,
+        25.450000000000227,
+        25.500000000000227,
+        25.550000000000228,
+        25.60000000000023,
+        25.65000000000023,
+        25.70000000000023,
+        25.75000000000023,
+        25.80000000000023,
+        25.850000000000232,
+        25.900000000000233,
+        25.950000000000234,
+        26.000000000000234,
+        26.050000000000235,
+        26.100000000000236,
+        26.150000000000237,
+        26.200000000000237,
+        26.250000000000238,
+        26.30000000000024,
+        26.35000000000024,
+        26.40000000000024,
+        26.45000000000024,
+        26.50000000000024,
+        26.550000000000242,
+        26.600000000000243,
+        26.650000000000244,
+        26.700000000000244,
+        26.750000000000245,
+        26.800000000000246,
+        26.850000000000247,
+        26.900000000000247,
+        26.950000000000248,
+        27.00000000000025,
+        27.05000000000025,
+        27.10000000000025,
+        27.15000000000025,
+        27.20000000000025,
+        27.250000000000252,
+        27.300000000000253,
+        27.350000000000254,
+        27.400000000000254,
+        27.450000000000255,
+        27.500000000000256,
+        27.550000000000257,
+        27.600000000000257,
+        27.650000000000258,
+        27.70000000000026,
+        27.75000000000026,
+        27.80000000000026,
+        27.85000000000026,
+        27.90000000000026,
+        27.950000000000262,
+        28.000000000000263,
+        28.050000000000264,
+        28.100000000000264,
+        28.150000000000265,
+        28.200000000000266,
+        28.250000000000266,
+        28.300000000000267,
+        28.350000000000268,
+        28.40000000000027,
+        28.45000000000027,
+        28.50000000000027,
+        28.55000000000027,
+        28.60000000000027,
+        28.650000000000272,
+        28.700000000000273,
+        28.750000000000274,
+        28.800000000000274,
+        28.850000000000275,
+        28.900000000000276,
+        28.950000000000276,
+        29.000000000000277,
+        29.050000000000278,
+        29.10000000000028,
+        29.15000000000028,
+        29.20000000000028,
+        29.25000000000028,
+        29.30000000000028,
+        29.350000000000282,
+        29.400000000000283,
+        29.450000000000284,
+        29.500000000000284,
+        29.550000000000285,
+        29.600000000000286,
+        29.650000000000286,
+        29.700000000000287,
+        29.750000000000288,
+        29.80000000000029,
+        29.85000000000029,
+        29.90000000000029,
+        29.95000000000029,
+        30.00000000000029,
+        30.050000000000292,
+        30.100000000000293,
+        30.150000000000293,
+        30.200000000000294,
+        30.250000000000295,
+        30.300000000000296,
+        30.350000000000296,
+        30.400000000000297,
+        30.450000000000298,
+        30.5000000000003,
+        30.5500000000003,
+        30.6000000000003,
+        30.6500000000003,
+        30.7000000000003,
+        30.750000000000302,
+        30.800000000000303,
+        30.850000000000303,
+        30.900000000000304,
+        30.950000000000305,
+        31.000000000000306,
+        31.050000000000306,
+        31.100000000000307,
+        31.150000000000308,
+        31.20000000000031,
+        31.25000000000031,
+        31.30000000000031,
+        31.35000000000031,
+        31.40000000000031,
+        31.450000000000312,
+        31.500000000000313,
+        31.550000000000313,
+        31.600000000000314,
+        31.650000000000315,
+        31.700000000000315,
+        31.750000000000316,
+        31.800000000000317,
+        31.850000000000318,
+        31.90000000000032,
+        31.95000000000032,
+        32.00000000000032
+    ],
+    "x": [
+        1733.0000000000002,
+        1733.0000000000002,
+        1732.9558429012782,
+        1732.8966022401387,
+        1733.059278617829,
+        1733.2565545840534,
+        1733.5247082251744,
+        1733.8356152630295,
+        1733.9547300660352,
+        1734.0892580356044,
+        1733.9518623376175,
+        1733.9802540568307,
+        1733.7218426847699,
+        1733.7417723653234,
+        1733.8633950861383,
+        1733.5497142316974,
+        1733.8423814332566,
+        1733.890189298682,
+        1733.5719172134145,
+        1733.2220997604318,
+        1732.826894144537,
+        1733.5234699663624,
+        1732.6238030062282,
+        1733.4687394114771,
+        1732.4895756053556,
+        1733.2236249824905,
+        1733.0355565719701,
+        1731.9157582277558,
+        1732.0341039814564,
+        1732.646574623805,
+        1731.97972506884,
+        1731.6887102200535,
+        1732.2338921848836,
+        1731.5843742312572,
+        1730.844677906248,
+        1731.7479447812875,
+        1731.0227891443183,
+        1729.5245934780473,
+        1729.9952498923649,
+        1730.2855115364782,
+        1730.3230868846833,
+        1730.3994146741786,
+        1731.694523210444,
+        1732.8717305728387,
+        1732.4100442414922,
+        1732.0779868061686,
+        1732.4210617804015,
+        1732.773135717216,
+        1731.747932311952,
+        1730.1839147390674,
+        1730.2711978646398,
+        1730.3952102544413,
+        1730.9927590737677,
+        1731.6419195166109,
+        1730.7160620494055,
+        1729.376686605633,
+        1729.7239107508394,
+        1730.6905697069537,
+        1730.287304133603,
+        1729.5866783704969,
+        1729.3340952173107,
+        1729.1704472239242,
+        1730.3653416664831,
+        1732.5212934904068,
+        1732.995865943441,
+        1732.8306360506317,
+        1733.7730943788752,
+        1735.1871022418131,
+        1736.8761900513455,
+        1738.809467485658,
+        1740.266996250396,
+        1741.6124198081843,
+        1742.793225288097,
+        1743.930515894621,
+        1743.830776710713,
+        1742.5409856611782,
+        1740.4416378172334,
+        1737.7019150073415,
+        1736.3784391883669,
+        1736.2262122241955,
+        1736.1786974512986,
+        1736.186748884903,
+        1736.2577066157287,
+        1736.3856558256884,
+        1737.7953193123253,
+        1740.2837525246862,
+        1743.512232417098,
+        1747.3326601165272,
+        1751.6737735748757,
+        1756.4946027602878,
+        1761.763979075161,
+        1767.4513235613256,
+        1773.5226378302352,
+        1779.938965624079,
+        1785.6920799348732,
+        1791.2062663033307,
+        1796.5192506866615,
+        1801.7808087208375,
+        1808.1743633408441,
+        1815.179847267158,
+        1822.2729511812572,
+        1829.4631395402307,
+        1836.8896586458072,
+        1844.3861753768747,
+        1851.6166178822884,
+        1858.72645101578,
+        1865.7849355530582,
+        1872.8105579652924,
+        1879.886338522691,
+        1886.9947821497265,
+        1894.3876510180794,
+        1901.863887115937,
+        1909.2345235725506,
+        1916.3947871286487,
+        1923.2770324918931,
+        1929.8273135121158,
+        1936.614544663462,
+        1943.7215192347421,
+        1950.1499064333893,
+        1956.0213655630873,
+        1962.3692662770418,
+        1969.2012332823037,
+        1976.3827326242013,
+        1983.7131281069292,
+        1990.2604572804944,
+        1996.0803979694356,
+        2001.2412251030796,
+        2005.7904425809122,
+        2009.7352486304253,
+        2013.0662230975404,
+        2015.7660695893123,
+        2017.8147251029118,
+        2019.192837390859,
+        2019.8841477549536,
+        2021.42077017371,
+        2023.7303267895581,
+        2024.2940265758232,
+        2023.7088271277107,
+        2024.0981553869024,
+        2025.354737572965,
+        2026.866360286385,
+        2028.4924008670378,
+        2028.7287792607872,
+        2028.1491166344074,
+        2028.7668462265237,
+        2030.4753073901975,
+        2030.4478750179317,
+        2028.8869080377556,
+        2027.7250218675463,
+        2026.6557984336973,
+        2024.0796842526229,
+        2020.535759009565,
+        2016.2706440008596,
+        2011.4093513926296,
+        2007.4143822824149,
+        2003.7125875733946,
+        2000.2780775560564,
+        1996.9173209126413,
+        1992.0420391512798,
+        1986.2165545304251,
+        1979.7916210368003,
+        1972.947502679258,
+        1965.7913146805595,
+        1958.4000919343712,
+        1950.840009351757,
+        1943.1747498370592,
+        1935.7216079283153,
+        1928.2725294479321,
+        1920.7024986570727,
+        1913.246375748431,
+        1905.6936389270945,
+        1898.1759791006252,
+        1890.653268927054,
+        1883.1824622526683,
+        1875.6772820263104,
+        1868.1973420403515,
+        1860.590586732484,
+        1852.9902272617037,
+        1845.5384239862856,
+        1838.035352392947,
+        1830.7847063336174,
+        1823.8624430488885,
+        1816.6884141475393,
+        1810.0312926754414,
+        1802.987224189126,
+        1796.6325109706033,
+        1790.885230051063,
+        1785.7410037028967,
+        1780.951202331459,
+        1775.527930761008,
+        1770.2499017155556,
+        1765.515706338996,
+        1760.0446897153954,
+        1756.0057325573482,
+        1751.1416368150417,
+        1747.7156275457523,
+        1745.3210312959768,
+        1743.7954737695336,
+        1741.7419608651624,
+        1740.071023860417,
+        1737.4880992025437,
+        1734.004599443359,
+        1729.962929773862,
+        1727.6190808929518,
+        1726.8107755493288,
+        1727.1151789484097,
+        1728.2503018559205,
+        1728.2369506740565,
+        1728.628516078797,
+        1728.442485604428,
+        1727.2058061680618,
+        1724.9413157434165,
+        1721.9083954518,
+        1718.8337021121608,
+        1714.7326349962302,
+        1712.0512089622603,
+        1707.9337898042913,
+        1702.8837294477698,
+        1697.6965383953277,
+        1693.5374359098296,
+        1688.0623025228324,
+        1681.7844231804147,
+        1676.1505131928539,
+        1669.572491979919,
+        1663.7411682230377,
+        1656.9099592304028,
+        1649.5196128285756,
+        1642.4262344297817,
+        1634.8082026523043,
+        1626.9358006933649,
+        1619.1571910333653,
+        1611.2425635486975,
+        1603.5344770972397,
+        1595.7579614392448,
+        1588.0382547653162,
+        1580.2669466925306,
+        1572.509317168875,
+        1564.778887327272,
+        1556.9785892423938,
+        1549.182546993024,
+        1541.4640423894607,
+        1533.9727324221662,
+        1526.792214974851,
+        1519.4072200560843,
+        1512.511712781781,
+        1505.6396019241088,
+        1498.6423864164565,
+        1492.3832124158048,
+        1485.633429308336,
+        1479.789808166713,
+        1474.71023539398,
+        1469.0079719060764,
+        1464.3631608516212,
+        1458.9857895471214,
+        1454.633847949297,
+        1451.315296243568,
+        1447.9128996285563,
+        1445.622253786743,
+        1442.4599770125974,
+        1440.063847648351,
+        1438.095282620153,
+        1435.2290154379182,
+        1434.1088594629728,
+        1431.9709389385416,
+        1431.553232017808,
+        1432.3342927316244,
+        1432.4939278620045,
+        1431.6583521912892,
+        1432.6546155052897,
+        1434.9042041129464,
+        1436.06718461624,
+        1438.7603005562305,
+        1442.5127804293636,
+        1445.2864543720214,
+        1449.438763142814,
+        1452.7353796548246,
+        1455.1761146989838,
+        1459.277266750617,
+        1464.5735680575513,
+        1468.8962776829626,
+        1474.535569837004,
+        1479.2898736934053,
+        1485.3398242399066,
+        1492.112921001202,
+        1498.967687322187,
+        1505.47603424749,
+        1512.6492935392305,
+        1519.4836063374605,
+        1527.0647885612254,
+        1534.1581128250784,
+        1541.9219622747382,
+        1550.0014657673878,
+        1558.183490677583,
+        1566.1775514416317,
+        1574.1442269148142,
+        1582.0467245913987,
+        1589.8733641589029,
+        1597.8607099214828,
+        1605.8544332288857,
+        1613.8453674388743,
+        1621.7588207599892,
+        1629.4393806010733,
+        1636.7737188395295,
+        1644.2944574485696,
+        1651.3108852029432,
+        1658.6587185456553,
+        1665.3117733439913,
+        1671.3107894545242,
+        1676.6407002275512,
+        1682.502520652684,
+        1687.3777777263626,
+        1692.5268326090631,
+        1698.3470645738494,
+        1702.7413589210678,
+        1707.9079739951933,
+        1711.8298534402468,
+        1716.5947117407932,
+        1721.269519579648,
+        1726.8013311775271,
+        1730.8564606250225,
+        1733.6491185370257,
+        1735.3511724216899,
+        1736.1074377366833,
+        1735.9879330796796,
+        1736.823189116713,
+        1736.2885458921648,
+        1736.7053280066893,
+        1735.7955642538964,
+        1735.8376046981734,
+        1735.1977440839278,
+        1733.7310604627728,
+        1733.289901425096,
+        1733.8431412343664,
+        1735.4246194209677,
+        1738.1046783916215,
+        1741.6819157847394,
+        1746.0035364979005,
+        1750.9810572689294,
+        1756.5540866649,
+        1762.6724107011212,
+        1769.2868030746708,
+        1776.3444107946784,
+        1783.7866642997315,
+        1791.5486164499039,
+        1799.5591039490625,
+        1807.1384721470104,
+        1814.7347507184381,
+        1822.0767567629364,
+        1829.161832119015,
+        1835.886155912017,
+        1843.3279512855352,
+        1850.828844083685,
+        1858.9148602774967,
+        1867.2673642865518,
+        1875.6624069378772,
+        1883.82441092472,
+        1892.0409456201319,
+        1900.1206671268337,
+        1908.2037359302722,
+        1916.042797421796,
+        1923.9860953197367,
+        1932.1433983107233,
+        1939.8612767710842,
+        1947.3899688974502,
+        1954.7131325535483,
+        1961.4386833819403,
+        1968.4469506745002,
+        1975.207075183481,
+        1981.9095365230178,
+        1987.6951108053618,
+        1993.8472123978102,
+        1999.115224350031,
+        2004.73471033859,
+        2009.186663944953,
+        2014.0779487743962,
+        2017.715638195758,
+        2022.167334824742,
+        2025.192907810299,
+        2027.0931079879108,
+        2029.902681762681,
+        2032.5230882341036,
+        2033.639071762349,
+        2033.5855678188295,
+        2032.5260142369823,
+        2032.3966155430733,
+        2033.1521666560534,
+        2032.6399055899403,
+        2030.6448422538906,
+        2029.5915652315148,
+        2026.9364042752668,
+        2024.8850720110668,
+        2022.742163858103,
+        2019.03456655608,
+        2016.30649385612,
+        2012.008191847569,
+        2006.640824676012,
+        2002.1836251165864,
+        1997.362478480833,
+        1991.335313231294,
+        1984.5639724752268,
+        1977.6704144955575,
+        1971.1550175380034,
+        1963.7515877514966,
+        1956.8926556297104,
+        1950.5352622947862,
+        1943.1611528158353,
+        1935.132434652311,
+        1926.7572255051055,
+        1918.8053130119335,
+        1910.4555846989497,
+        1902.287689793212,
+        1894.0056646571813,
+        1885.8659820575558,
+        1877.8794466476015,
+        1869.606120944733,
+        1861.1791918650574,
+        1852.8212189226485,
+        1844.557469389947,
+        1836.5498307409719,
+        1828.916450524877,
+        1821.1304793544853,
+        1813.6835459422232,
+        1806.8255784269832,
+        1799.5993291671343,
+        1793.1879391649184,
+        1786.3003516860933,
+        1780.4116621120015,
+        1774.4919507482205,
+        1767.9648277520612,
+        1762.215942926217,
+        1757.6118657843238,
+        1752.2851256512645,
+        1748.2802587436079,
+        1745.36338166323,
+        1741.6360411613146,
+        1737.4492413973962,
+        1734.8873629298118,
+        1732.4315664448327,
+        1731.341041436508,
+        1729.403914189692,
+        1729.0183863753473,
+        1729.841590623911,
+        1731.6984236483167,
+        1732.6313494737503,
+        1732.9402479372593,
+        1732.8460912710539,
+        1731.788419776834,
+        1730.007705129617,
+        1727.104099870368,
+        1723.2064218443502,
+        1719.2526763766682,
+        1714.3407192381887,
+        1708.9769360103335,
+        1702.848204882409,
+        1696.0926951996526,
+        1690.2150215624893,
+        1685.0715922511977,
+        1679.6848006940336,
+        1673.6108812988646,
+        1666.4862582031,
+        1658.6943852013603,
+        1651.533650076308,
+        1643.5963713238548,
+        1635.6230928482971,
+        1628.0738824076639,
+        1619.8463630045362,
+        1611.2813744259415,
+        1602.6074033023413,
+        1594.1703483996162,
+        1585.8397833738582,
+        1577.330480231226,
+        1568.859169893612,
+        1560.5357599308488,
+        1552.1531801775395,
+        1543.6842351078435,
+        1535.296994124733,
+        1527.261633525915,
+        1519.0547292295605,
+        1511.3443045469878,
+        1504.179829482402,
+        1497.633871440666,
+        1490.6913949011564,
+        1484.5954134523236,
+        1479.3364226392669,
+        1473.525879572357,
+        1467.8650483686702,
+        1463.4069859309536,
+        1458.260410387584,
+        1454.4837640655787,
+        1449.9339149338193,
+        1446.8709124992474,
+        1444.9628505135552,
+        1442.2193686350079,
+        1438.633785253311,
+        1434.171640778486,
+        1431.4064708307874,
+        1427.7117626977679,
+        1425.6178177266465,
+        1424.987328678465,
+        1425.5368972879119,
+        1427.1203280625632,
+        1429.6502686586223,
+        1431.7221359062992,
+        1435.027466759896,
+        1439.3386000013097,
+        1444.5109351389692,
+        1450.438094412823,
+        1456.8781957566634,
+        1462.6990337380535,
+        1467.990722317535,
+        1472.7399472101054,
+        1477.3911708127941,
+        1481.7506110531435,
+        1486.1903281757986,
+        1491.9602876844503,
+        1498.724711869675,
+        1506.3158912684303,
+        1514.4522768698853,
+        1522.9486488694295,
+        1531.5505112951832,
+        1539.7290162978074,
+        1547.5995806371402,
+        1556.0367621414716,
+        1564.7565828960387,
+        1573.3237131690748,
+        1581.7592087401051,
+        1590.4052239003186,
+        1599.053946844786,
+        1607.5174287448904,
+        1615.9911305904393,
+        1624.2586573584795,
+        1632.3142701551042,
+        1640.5965025191672,
+        1648.352298187665,
+        1656.438131770891,
+        1664.0139699876572,
+        1670.8740501869684,
+        1678.174442537244,
+        1684.9703469092951,
+        1690.8488655488984,
+        1695.8405704978259,
+        1700.0440172792514,
+        1704.8298886623422,
+        1710.2865336243199,
+        1716.4763757353485,
+        1721.1600825530875,
+        1726.6716449452715,
+        1730.7233181386798,
+        1733.467050282645,
+        1736.2163479950887,
+        1739.1928952102726,
+        1741.5901833070757,
+        1742.5238300809597,
+        1742.6164893884484,
+        1743.2179337805555,
+        1742.8374542505278,
+        1743.4441502488053,
+        1742.3584965781547,
+        1740.4325270133754,
+        1739.5777401910968,
+        1738.75320463456,
+        1736.3004629886168,
+        1734.9564849902367,
+        1734.5993857089793,
+        1732.461711446671,
+        1731.509418298029,
+        1729.479408408351,
+        1728.663719127689,
+        1728.0978462786902,
+        1726.6378245023216,
+        1726.5007258650662,
+        1725.4052841095026,
+        1723.8359612076456,
+        1723.7153300189862,
+        1722.0087340187915,
+        1721.4885892235561,
+        1721.7823815574302,
+        1721.1933946388876,
+        1722.0674555229064,
+        1721.352069525489,
+        1721.7529249570414,
+        1722.1880083502829,
+        1721.6501133141792,
+        1722.6266116502106,
+        1722.470414956354,
+        1721.7526815142278,
+        1722.8101646649109,
+        1722.1760963859688,
+        1723.3334352478223,
+        1723.262229445752,
+        1722.392603067037,
+        1723.3852697897955,
+        1722.5746299359728,
+        1723.5869535977338,
+        1724.3750411109463,
+        1724.2218818131246,
+        1725.1787517729126,
+        1724.9069963134925,
+        1725.2449149406252,
+        1724.8438256841482,
+        1725.899837907078,
+        1727.0816018041571,
+        1726.4417198264678,
+        1726.7384623650355,
+        1728.070868964854,
+        1728.3079556323391,
+        1728.3389625943764,
+        1728.9595903151153,
+        1728.950202317065,
+        1729.1708873553246,
+        1728.628176066682,
+        1729.4674137290365,
+        1729.6758354629083,
+        1729.2176248265523,
+        1729.7470948041187,
+        1729.922142813871,
+        1729.6471965275955,
+        1729.4743471205518,
+        1729.5625722877476,
+        1729.436773323511,
+        1729.5629541957974,
+        1729.5908382516443,
+        1729.2614616638862,
+        1729.3580938103569,
+        1729.2140423867986,
+        1729.1488458965578,
+        1728.9252626242776,
+        1728.8033263504876,
+        1728.6598770195474,
+        1728.5025169301152,
+        1728.31009430037,
+        1728.1176306021187,
+        1727.9251337531518,
+        1727.7334845393682,
+        1727.541154370946,
+        1727.3223723258275,
+        1727.1300235547694,
+        1726.9704397504347,
+        1726.7794985489254,
+        1726.6207958831096
+    ],
+    "y": [
+        -406.0866103896103,
+        -406.25978048702905,
+        -406.51943468689143,
+        -406.8654614633065,
+        -407.2980861447471,
+        -407.8161955306076,
+        -408.4187995319817,
+        -409.1050979728717,
+        -409.88030015906105,
+        -410.7410084188968,
+        -411.6944149501243,
+        -412.7298999629149,
+        -413.85671244273647,
+        -415.06428368639865,
+        -416.35605202881015,
+        -417.73974790814844,
+        -419.2012608155624,
+        -420.7514719575184,
+        -422.39193535046354,
+        -424.1151248307994,
+        -425.9202452947828,
+        -427.8143631147442,
+        -429.7886076613379,
+        -431.8561137812875,
+        -433.99870205927806,
+        -436.2392330538355,
+        -438.55803249539673,
+        -440.942336912718,
+        -443.4360090312368,
+        -446.0216179874061,
+        -448.66901982916943,
+        -451.4055330014451,
+        -454.2474032243168,
+        -457.1444903442604,
+        -460.10962067077537,
+        -463.2333540810228,
+        -466.3734558908838,
+        -469.52216390002377,
+        -472.9084286422148,
+        -476.3553655325819,
+        -479.866617455595,
+        -483.4617668847049,
+        -487.1538348030752,
+        -490.87420841573817,
+        -494.73834451717886,
+        -498.68107378665024,
+        -502.6914054672616,
+        -506.79123194374216,
+        -511.0274681477953,
+        -515.3038263748156,
+        -519.7077026796292,
+        -524.2119363856045,
+        -528.8238667354053,
+        -533.5256177079425,
+        -538.3316199763979,
+        -543.2007971143735,
+        -548.2508813700448,
+        -553.4133996312373,
+        -558.6650850248573,
+        -564.0217833947428,
+        -569.5099435146176,
+        -575.1239554902245,
+        -580.8814877507162,
+        -586.6592185286595,
+        -592.6301057644255,
+        -598.774874877989,
+        -604.9669553070996,
+        -611.2296170311611,
+        -617.5637288480818,
+        -623.9634218969735,
+        -630.5780532306048,
+        -637.3542294827155,
+        -644.3061398899098,
+        -651.4075881479237,
+        -658.7322967727025,
+        -666.1309187081064,
+        -673.4110049011452,
+        -680.4735249364003,
+        -687.5692625243103,
+        -694.8083269734709,
+        -702.057438372294,
+        -709.307438823073,
+        -716.5572729438056,
+        -723.8054840463133,
+        -731.0753818572985,
+        -738.2123320504702,
+        -745.0968307873034,
+        -751.6621328178708,
+        -757.8621271527502,
+        -763.6564780185391,
+        -769.0056136108165,
+        -773.8699154502578,
+        -778.2104154964194,
+        -781.98989392896,
+        -786.4036800589414,
+        -791.1236374759594,
+        -796.1299162727537,
+        -801.2181401329847,
+        -804.7896894030266,
+        -807.3101256013886,
+        -809.457681194046,
+        -811.1820087670557,
+        -811.9742292499993,
+        -811.9802202135227,
+        -812.9546386121707,
+        -814.7289773703593,
+        -816.8726837075446,
+        -819.1730063765754,
+        -821.1696434737034,
+        -823.002797944644,
+        -823.2196645320097,
+        -822.1712434783483,
+        -820.2413303618575,
+        -817.5994204593867,
+        -814.3279187053876,
+        -810.4734005232117,
+        -807.6493923609919,
+        -805.6839853107717,
+        -801.9984586521041,
+        -797.3054532872371,
+        -793.5845207572696,
+        -790.6836861108657,
+        -788.4358595583346,
+        -786.5841460661252,
+        -783.1631432253714,
+        -778.3978594513281,
+        -772.748610616025,
+        -766.5384428847067,
+        -759.9266694173343,
+        -753.0045737275715,
+        -745.8366898033652,
+        -738.4788817076452,
+        -730.9860588172751,
+        -723.4151443958053,
+        -716.1712355838189,
+        -709.1025941796617,
+        -701.667829415244,
+        -694.142076087672,
+        -686.7323644269869,
+        -679.3502718505054,
+        -671.9792850908764,
+        -664.6258696536515,
+        -657.1765700004987,
+        -649.70669584809,
+        -642.2532472562257,
+        -634.8376055625624,
+        -627.3638363279,
+        -619.9072816408896,
+        -612.4872147782764,
+        -605.0750326202418,
+        -597.8838923651416,
+        -591.0063001662094,
+        -584.5129377867418,
+        -578.4558803795112,
+        -572.0925930911997,
+        -565.5800435394106,
+        -558.9027198116239,
+        -552.1712111419283,
+        -546.3759970511798,
+        -541.3431120674505,
+        -536.9945751237991,
+        -533.3106416009124,
+        -530.2942244029515,
+        -527.9581451377201,
+        -526.3184958045572,
+        -525.3905115733254,
+        -524.1382961027975,
+        -523.0055745364245,
+        -522.743822319023,
+        -521.6283713606713,
+        -521.6205061900781,
+        -520.7191439094122,
+        -519.6204251208034,
+        -517.6326077057759,
+        -516.4341801164283,
+        -514.9476257331835,
+        -515.1339726344066,
+        -516.4360494579848,
+        -518.8319739617752,
+        -519.9908814904211,
+        -522.6516923906959,
+        -526.2700035263708,
+        -528.7739552193127,
+        -532.6772531961101,
+        -535.5302625326422,
+        -539.8756000928742,
+        -545.145652199707,
+        -551.062735209805,
+        -557.1838775063093,
+        -562.5232448448106,
+        -568.0130243554039,
+        -574.0050491882114,
+        -579.3560227087312,
+        -585.897125583276,
+        -591.7928897227093,
+        -598.7088198662132,
+        -606.1594461152401,
+        -613.8863236138629,
+        -621.2877324325292,
+        -628.7854427138144,
+        -636.0047637915959,
+        -642.9582872178788,
+        -649.6910936308525,
+        -657.0001921687725,
+        -664.7639502655862,
+        -672.6811811608015,
+        -680.5561164234648,
+        -688.2515510411715,
+        -695.9465097078048,
+        -703.6379931811747,
+        -711.3314667562496,
+        -718.9449093773669,
+        -726.375846473818,
+        -733.6732946860099,
+        -740.6017813751457,
+        -747.8533406499407,
+        -754.5793067390582,
+        -760.776451924315,
+        -766.7371903536595,
+        -773.2493594848563,
+        -778.8685397592237,
+        -783.7372426834423,
+        -789.0643127470914,
+        -793.3878496565926,
+        -798.475365798306,
+        -802.3202036455489,
+        -805.2036531022177,
+        -808.4084705251054,
+        -810.459818534938,
+        -811.5642947015235,
+        -812.5664911384065,
+        -812.5220245280601,
+        -813.3933475914314,
+        -813.5396678267853,
+        -814.5793201256902,
+        -814.7410413945781,
+        -815.8473890714317,
+        -817.5014853137886,
+        -817.3326485458795,
+        -817.1082266953736,
+        -815.295274456352,
+        -812.4009725000167,
+        -808.7595866654633,
+        -806.2131707731401,
+        -802.3132105635016,
+        -798.5295635883688,
+        -795.0547043567608,
+        -790.2130329216602,
+        -786.2638682132081,
+        -780.9323930916389,
+        -774.7409452849504,
+        -769.3728765206749,
+        -762.9379952064033,
+        -757.2394414221658,
+        -750.6582178278838,
+        -743.3827978657561,
+        -736.2629625281147,
+        -728.6067639651735,
+        -721.4236801505608,
+        -713.9235918451661,
+        -706.2930027123723,
+        -698.9535636712,
+        -691.1062129836896,
+        -683.5249650135968,
+        -675.5870081174302,
+        -667.5693270720044,
+        -659.671947410664,
+        -651.8105687604902,
+        -643.9281949502347,
+        -636.1889089932981,
+        -628.3821356575238,
+        -620.8531039460884,
+        -613.6903013244524,
+        -606.2889377043298,
+        -599.4422261630873,
+        -592.2557190060104,
+        -584.663566686919,
+        -577.8576317448244,
+        -571.7671043837954,
+        -565.1272601586395,
+        -559.4152487982832,
+        -553.0683570201944,
+        -547.8034832122393,
+        -543.3499095139173,
+        -539.14994825748,
+        -534.5905600557351,
+        -531.0107754695362,
+        -526.9564219317997,
+        -524.2594842330816,
+        -520.6638797081139,
+        -518.5814449435907,
+        -517.630730709791,
+        -517.6406687490141,
+        -517.2347875051679,
+        -516.8623992178516,
+        -515.6965310462646,
+        -513.6141155720748,
+        -513.3899272254557,
+        -513.4388877773855,
+        -513.7106146121737,
+        -515.5221047316857,
+        -518.4297561868616,
+        -522.2107051980187,
+        -524.9577371707102,
+        -529.0263418035988,
+        -532.1899326627415,
+        -536.7899779017686,
+        -542.348655710528,
+        -548.6088457612765,
+        -554.0754538976919,
+        -560.5536494718281,
+        -566.7045592684995,
+        -572.2694118508189,
+        -579.0358406165553,
+        -585.1955530737303,
+        -592.2529415820865,
+        -598.7409063502071,
+        -605.2989778507223,
+        -611.298416758522,
+        -618.2662173631117,
+        -625.9525607173719,
+        -634.0624755683638,
+        -642.3615461711088,
+        -650.7023908151731,
+        -658.7386060264647,
+        -666.9049540779572,
+        -674.9582933241836,
+        -683.0319035544844,
+        -691.1091332301864,
+        -699.1627730636537,
+        -707.1367217072279,
+        -715.2283966183038,
+        -723.4281953141351,
+        -731.643633329729,
+        -739.7268640755904,
+        -747.5225428286453,
+        -754.9274313898322,
+        -761.8692607702518,
+        -768.288890784223,
+        -774.1323181768066,
+        -779.3480650082981,
+        -783.8871034535584,
+        -787.7038195889465,
+        -790.7572958732325,
+        -793.012589141859,
+        -795.919473307398,
+        -798.7627556591484,
+        -802.3299241660636,
+        -806.6010337684075,
+        -811.6443003379643,
+        -814.9573167631872,
+        -818.1438253493039,
+        -819.7424367113962,
+        -820.1206630839022,
+        -819.4862464077714,
+        -819.8747551791621,
+        -818.8199763417692,
+        -816.6621067548997,
+        -815.5066684191894,
+        -812.8906395506486,
+        -810.994077235323,
+        -809.9941494403505,
+        -807.1961986798203,
+        -803.8919474964996,
+        -800.1422017017591,
+        -795.2145062006232,
+        -790.9683972099106,
+        -786.3207110329776,
+        -781.6031527228893,
+        -775.6494363265426,
+        -770.2249391691566,
+        -763.8396340459346,
+        -757.8593382548968,
+        -750.8427005279273,
+        -744.2435309502089,
+        -736.7603668864695,
+        -729.8557539334122,
+        -722.1193641996297,
+        -713.9319246606651,
+        -706.2019076733104,
+        -698.4038337403149,
+        -690.154241469656,
+        -681.7403273491075,
+        -673.3502350821923,
+        -665.110522628826,
+        -656.8831018560597,
+        -648.6516886861363,
+        -640.5458167320843,
+        -632.3671622830685,
+        -624.4697943211079,
+        -616.4742616322603,
+        -608.4998012025782,
+        -601.0185815728497,
+        -593.2173679802033,
+        -586.06327985133,
+        -579.5404631847696,
+        -572.57165065901,
+        -565.8402595938288,
+        -560.0127630225509,
+        -554.9561744952604,
+        -550.1917720996861,
+        -545.0732309586579,
+        -541.1467946745287,
+        -536.4975058094169,
+        -531.07538940619,
+        -527.2211693012922,
+        -524.6378326323887,
+        -523.124714603832,
+        -520.71790741883,
+        -519.7410874039399,
+        -518.2076167467892,
+        -517.3323124514731,
+        -515.5403872674162,
+        -512.7939824665416,
+        -511.81791093041807,
+        -512.4264564518566,
+        -513.076153951027,
+        -515.0647447840622,
+        -518.1089282274813,
+        -522.0500314240674,
+        -525.0648264009501,
+        -528.924787464599,
+        -533.9108773218193,
+        -538.0710156442984,
+        -543.5326863089388,
+        -548.2435812603611,
+        -554.2559544610214,
+        -560.1656554376723,
+        -565.4191872903685,
+        -571.4965075361661,
+        -578.6038876526923,
+        -585.05510951786,
+        -592.4999235433016,
+        -600.537056631272,
+        -608.0381538981135,
+        -615.3068885816049,
+        -623.3501386775274,
+        -631.3916777739462,
+        -639.8405559217586,
+        -648.0030476416422,
+        -656.4818428104847,
+        -665.0202460275543,
+        -673.4400604566172,
+        -681.7914787540942,
+        -690.1927637908578,
+        -698.6411095194798,
+        -707.1491324918595,
+        -715.6165941752552,
+        -723.9262946781821,
+        -731.9149174147552,
+        -739.6744801988172,
+        -746.959909508703,
+        -753.8379384414488,
+        -760.0880163237168,
+        -765.6515158628649,
+        -771.7314768751362,
+        -778.4305954610868,
+        -784.9302207652146,
+        -790.8020722055996,
+        -795.5461537801308,
+        -799.2998728725221,
+        -803.791297861137,
+        -806.9861084521904,
+        -809.94941667752,
+        -813.7571087772072,
+        -815.9717561413684,
+        -816.9413388698667,
+        -816.8296577648949,
+        -817.5719924798454,
+        -819.1863358320974,
+        -818.9634005258974,
+        -817.394309197206,
+        -815.2795413535769,
+        -814.0552983272612,
+        -813.3484948052038,
+        -812.0741211130705,
+        -809.1161729950468,
+        -806.949961650851,
+        -803.1850299049561,
+        -798.2818808553412,
+        -792.5007000443042,
+        -787.5873545018769,
+        -781.5224500310642,
+        -774.6251296425216,
+        -768.4212279377412,
+        -762.080181111487,
+        -754.743845968119,
+        -747.9716381995956,
+        -740.2701971871827,
+        -733.0737841962085,
+        -725.0585543320522,
+        -716.604971143026,
+        -708.5394339645393,
+        -700.7602847004127,
+        -693.3078582839426,
+        -685.2315631731979,
+        -677.4825297901498,
+        -669.1739696720274,
+        -660.4957416996842,
+        -651.7196312416443,
+        -643.031123608065,
+        -634.5643069209834,
+        -626.2069487158062,
+        -618.1608836469852,
+        -610.5497202707294,
+        -603.4730805963759,
+        -597.0145625216454,
+        -591.1298094647764,
+        -584.8680248722509,
+        -578.1253000682294,
+        -570.8684735120519,
+        -563.5366496054361,
+        -555.9870947006557,
+        -548.5415738378244,
+        -542.1728261410374,
+        -536.7232225716517,
+        -532.2694714406351,
+        -528.7637948317204,
+        -526.1946024112422,
+        -524.2884588071433,
+        -521.6291896088107,
+        -518.134739159968,
+        -516.3153439524691,
+        -515.8492523074601,
+        -514.9558796513363,
+        -513.1767500367268,
+        -513.1310774348415,
+        -514.4756631420568,
+        -516.9578791840686,
+        -518.5226998904968,
+        -521.1018352502883,
+        -524.3060365162683,
+        -526.6868335527979,
+        -530.5624381962257,
+        -533.5701446333023,
+        -537.7386910790381,
+        -543.1711228583824,
+        -547.7705969236266,
+        -553.1245767833223,
+        -559.6105054996217,
+        -566.8907208112098,
+        -574.6620316248508,
+        -581.8622421332518,
+        -588.588960420791,
+        -594.7984012398117,
+        -602.0786349868762,
+        -608.8027243304718,
+        -616.490272947887,
+        -624.864752618798,
+        -633.0161683940748,
+        -640.9185082591889,
+        -648.9134620222883,
+        -657.215853257615,
+        -665.4882596000184,
+        -673.4848924705072,
+        -681.4389143125225,
+        -689.1969559315896,
+        -696.8735060549623,
+        -704.3224997946832,
+        -711.7243952734789,
+        -719.0248626564061,
+        -725.9315618258158,
+        -732.9356246141339,
+        -740.0445122388967,
+        -746.6503210274939,
+        -753.4258594886469,
+        -759.8254591661,
+        -766.4241578994732,
+        -772.954915359524,
+        -779.1675468981714,
+        -785.5481432695776,
+        -791.6175993935678,
+        -797.4832053854775,
+        -803.517665566533,
+        -809.1454086117458,
+        -814.8852654876757,
+        -820.6276979204439,
+        -826.1220712636223,
+        -831.6491558428131,
+        -836.9205978450508,
+        -842.1580008103203,
+        -847.2710412980967,
+        -852.2516248192685,
+        -857.139320106608,
+        -861.9212504321002,
+        -866.5981995620264,
+        -871.1506956014546,
+        -875.6272552538339,
+        -879.9489001548698,
+        -884.2079003959338,
+        -888.3793213636795,
+        -892.3931909226552,
+        -896.3508060966606,
+        -900.1537360909167,
+        -903.8416108187411,
+        -907.4772667067944,
+        -910.9339476154421,
+        -914.374200333694,
+        -917.6644680272568,
+        -920.8973268272014,
+        -923.9289597246515,
+        -926.8181482836577,
+        -929.7850608816696,
+        -932.5533910682299,
+        -935.1026138428088,
+        -937.6681466965381,
+        -940.1551170397337,
+        -942.4603225289381,
+        -944.7462635807219,
+        -946.8956294091571,
+        -949.0405433851901,
+        -950.8974168503736,
+        -952.7350308726386,
+        -954.5620315327199,
+        -956.1450852014364,
+        -957.6742421618044,
+        -959.1653863882887,
+        -960.5349911108975,
+        -961.7633805808894,
+        -962.9179912011758,
+        -963.9329886692539,
+        -964.858412734013,
+        -965.7311283050739,
+        -966.4387027744139,
+        -967.077419038514,
+        -967.6010098605539,
+        -968.0438261269127,
+        -968.368206351706,
+        -968.5922793105415,
+        -968.7149958946962,
+        -968.7394460999615,
+        -968.8672087423847,
+        -968.8915332227491,
+        -969.0190363432747,
+        -969.0432027195167,
+        -969.1744000816,
+        -969.1982996980189,
+        -969.320856945621,
+        -969.3445793947377,
+        -969.4670313558031
+    ]
+}
\ No newline at end of file
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/errorFPS.json b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/errorFPS.json
new file mode 100644
index 0000000000000000000000000000000000000000..df18a428ab0a3d8502122ba2b561510423ee0fdc
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/errorFPS.json
@@ -0,0 +1,347 @@
+{
+    "time": [
+        0.2,
+        0.4,
+        0.6000000000000001,
+        0.8,
+        1.0,
+        1.2,
+        1.4,
+        1.5999999999999999,
+        1.7999999999999998,
+        1.9999999999999998,
+        2.1999999999999997,
+        2.4,
+        2.6,
+        2.8000000000000003,
+        3.0000000000000004,
+        3.2000000000000006,
+        3.400000000000001,
+        3.600000000000001,
+        3.800000000000001,
+        4.000000000000001,
+        4.200000000000001,
+        4.400000000000001,
+        4.600000000000001,
+        4.800000000000002,
+        5.000000000000002,
+        5.200000000000002,
+        5.400000000000002,
+        5.600000000000002,
+        5.8000000000000025,
+        6.000000000000003,
+        6.200000000000003,
+        6.400000000000003,
+        6.600000000000003,
+        6.800000000000003,
+        7.0000000000000036,
+        7.200000000000004,
+        7.400000000000004,
+        7.600000000000004,
+        7.800000000000004,
+        8.000000000000004,
+        8.200000000000003,
+        8.400000000000002,
+        8.600000000000001,
+        8.8,
+        9.0,
+        9.2,
+        9.399999999999999,
+        9.599999999999998,
+        9.799999999999997,
+        9.999999999999996,
+        10.199999999999996,
+        10.399999999999995,
+        10.599999999999994,
+        10.799999999999994,
+        10.999999999999993,
+        11.199999999999992,
+        11.399999999999991,
+        11.59999999999999,
+        11.79999999999999,
+        11.99999999999999,
+        12.199999999999989,
+        12.399999999999988,
+        12.599999999999987,
+        12.799999999999986,
+        12.999999999999986,
+        13.199999999999985,
+        13.399999999999984,
+        13.599999999999984,
+        13.799999999999983,
+        13.999999999999982,
+        14.199999999999982,
+        14.39999999999998,
+        14.59999999999998,
+        14.79999999999998,
+        14.999999999999979,
+        15.199999999999978,
+        15.399999999999977,
+        15.599999999999977,
+        15.799999999999976,
+        15.999999999999975,
+        16.199999999999974,
+        16.399999999999974,
+        16.599999999999973,
+        16.799999999999972,
+        16.99999999999997,
+        17.19999999999997,
+        17.39999999999997,
+        17.59999999999997,
+        17.79999999999997,
+        17.999999999999968,
+        18.199999999999967,
+        18.399999999999967,
+        18.599999999999966,
+        18.799999999999965,
+        18.999999999999964,
+        19.199999999999964,
+        19.399999999999963,
+        19.599999999999962,
+        19.79999999999996,
+        19.99999999999996,
+        20.19999999999996,
+        20.39999999999996,
+        20.59999999999996,
+        20.799999999999958,
+        20.999999999999957,
+        21.199999999999957,
+        21.399999999999956,
+        21.599999999999955,
+        21.799999999999955,
+        21.999999999999954,
+        22.199999999999953,
+        22.399999999999952,
+        22.59999999999995
+    ],
+    "x": [
+        1732.961286387469,
+        1732.1526264091385,
+        1732.3471681903861,
+        1732.2408878911015,
+        1732.1597730980216,
+        1731.5970807639185,
+        1732.0396357136551,
+        1731.5831140336522,
+        1730.9454885844018,
+        1734.4604226971344,
+        1710.2313881477512,
+        1723.0853565578536,
+        1697.834704882184,
+        1704.9171165268822,
+        1678.4674650048732,
+        1678.64617358835,
+        1663.8681485158445,
+        1677.2253629120341,
+        1659.5429674319553,
+        1676.8234346383222,
+        1679.837523146973,
+        1707.3913389356733,
+        1727.7523903942556,
+        1757.421682804023,
+        1787.335885374785,
+        1815.5525552677468,
+        1836.0759445730455,
+        1856.0091221624198,
+        1884.9167934953487,
+        1912.049440527352,
+        1942.359393049133,
+        1973.4653245132022,
+        2000.2245521430734,
+        2027.3009316476896,
+        2042.565440411347,
+        2057.353972013345,
+        2056.2946467356514,
+        2054.046605574749,
+        2036.8897779452925,
+        2018.089178819594,
+        2008.0105180571222,
+        1999.375186658567,
+        2002.2475343666129,
+        1988.2369020733113,
+        1976.7995089720039,
+        1953.973011362798,
+        1929.7211597303321,
+        1899.5702402493023,
+        1867.9716946644241,
+        1839.0043039469551,
+        1810.0664341767936,
+        1791.2983035107504,
+        1774.558776123896,
+        1771.986904334932,
+        1773.061556216539,
+        1762.9958341974534,
+        1751.7130695655565,
+        1731.1877905775837,
+        1724.096636962187,
+        1716.5814105065717,
+        1693.232796996565,
+        1694.1444414947143,
+        1668.549851619035,
+        1649.768271430797,
+        1619.4100763464303,
+        1588.6620350135713,
+        1558.277848130564,
+        1525.8603036490567,
+        1504.192002462834,
+        1481.9658148770195,
+        1475.8984474527151,
+        1471.8503301267024,
+        1457.4885976228659,
+        1441.155359570068,
+        1416.9122898253477,
+        1404.0629565734348,
+        1392.2228641542615,
+        1393.364326420527,
+        1398.8904431646479,
+        1416.6246744636996,
+        1439.384930225874,
+        1469.012913293123,
+        1501.2736313171504,
+        1533.2213225710068,
+        1563.529372043896,
+        1587.0287888184832,
+        1604.5808193286337,
+        1632.1733382809073,
+        1660.4355375317052,
+        1675.1436077784408,
+        1707.8152494287776,
+        1737.6869471112495,
+        1758.376854127139,
+        1778.1625434851464,
+        1783.9417070337638,
+        1785.4613324113277,
+        1773.1570712657503,
+        1772.863193044739,
+        1776.013025666458,
+        1788.9183082003865,
+        1808.394795928098,
+        1835.5562009425853,
+        1866.9903319383652,
+        1900.2721855594268,
+        1932.6749979835827,
+        1960.4521524084503,
+        1981.9814693167236,
+        1994.1972335397857,
+        1996.896181862177,
+        1988.9794825792592,
+        1971.7830231287653,
+        1963.9812514158043,
+        1960.9902151298913
+    ],
+    "y": [
+        -407.38574749946434,
+        -410.1450781792827,
+        -414.29637723334713,
+        -419.818127512097,
+        -426.71211840747475,
+        -434.9647822879525,
+        -444.59943904856783,
+        -455.58038002735066,
+        -467.91044947354226,
+        -481.442834320628,
+        -488.51871123137795,
+        -510.6809772390142,
+        -516.5700532944252,
+        -542.5218465339217,
+        -547.4461353722113,
+        -576.2700374912258,
+        -596.5567969953598,
+        -621.8927342720442,
+        -650.1798270897751,
+        -676.2700116023415,
+        -708.6531209885454,
+        -721.0133330771085,
+        -746.8476387905589,
+        -741.8178038711459,
+        -758.3850957433021,
+        -771.2982274243907,
+        -793.7167352819238,
+        -817.2932482633912,
+        -832.1131628686057,
+        -847.2890239621718,
+        -849.1416291299522,
+        -849.8532770923348,
+        -835.9452716692517,
+        -820.3526660927863,
+        -794.3060860117681,
+        -766.639332443908,
+        -736.3960864707866,
+        -704.9903533695303,
+        -679.9641880209497,
+        -654.5789391437684,
+        -623.1055836005652,
+        -592.6860125342031,
+        -561.8138535489933,
+        -530.9977671174613,
+        -501.20467805698325,
+        -480.07553076074544,
+        -459.4138034057579,
+        -452.9993001585988,
+        -448.5462631127082,
+        -459.2041936105157,
+        -472.7696039970146,
+        -497.3915321526512,
+        -524.6687568240793,
+        -555.626367429977,
+        -587.653089043164,
+        -619.9959728506324,
+        -650.3018007126493,
+        -674.4776916354847,
+        -708.1495163476111,
+        -739.854135446169,
+        -763.938113101683,
+        -798.3070504334978,
+        -821.5342579407381,
+        -849.0252828967887,
+        -858.0331750272223,
+        -870.9067994540502,
+        -863.1401210396791,
+        -855.9792400311505,
+        -833.1992064440471,
+        -808.7048856340194,
+        -777.7105267827612,
+        -744.9765338119622,
+        -713.6017626909212,
+        -684.8663918174944,
+        -663.3042435908567,
+        -630.735688199831,
+        -599.6288835560953,
+        -567.1823441927924,
+        -534.6369712723381,
+        -507.70916531776646,
+        -483.87948489298327,
+        -470.9629076346409,
+        -464.30916078072187,
+        -469.9462355403672,
+        -482.8678252494172,
+        -505.40692506178317,
+        -533.3151952232445,
+        -555.4528168518173,
+        -573.8224954223197,
+        -605.342527239041,
+        -618.2987266909263,
+        -635.0138534193854,
+        -662.7337669088829,
+        -690.2833230301019,
+        -722.6557520411346,
+        -756.3215540312655,
+        -786.717122358282,
+        -822.7297349496205,
+        -856.7275742126394,
+        -887.6215141972548,
+        -914.9837010446107,
+        -934.1482397721055,
+        -945.7574379704569,
+        -946.3635567071002,
+        -937.787339300482,
+        -919.289062000256,
+        -893.5545930254899,
+        -862.4046904032793,
+        -828.9163342544612,
+        -796.3228802290259,
+        -767.4021377154822,
+        -731.9563138296951,
+        -697.4870500671282
+    ]
+}
\ No newline at end of file
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/error_location_perturbation.json b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/error_location_perturbation.json
new file mode 100644
index 0000000000000000000000000000000000000000..128cb09bf4203165765718ebfa9cd7c5b32a499d
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/error_location_perturbation.json
@@ -0,0 +1,2141 @@
+{
+    "time": [
+        0.05,
+        0.1,
+        0.15000000000000002,
+        0.2,
+        0.25,
+        0.3,
+        0.35,
+        0.39999999999999997,
+        0.44999999999999996,
+        0.49999999999999994,
+        0.5499999999999999,
+        0.6,
+        0.65,
+        0.7000000000000001,
+        0.7500000000000001,
+        0.8000000000000002,
+        0.8500000000000002,
+        0.9000000000000002,
+        0.9500000000000003,
+        1.0000000000000002,
+        1.0500000000000003,
+        1.1000000000000003,
+        1.1500000000000004,
+        1.2000000000000004,
+        1.2500000000000004,
+        1.3000000000000005,
+        1.3500000000000005,
+        1.4000000000000006,
+        1.4500000000000006,
+        1.5000000000000007,
+        1.5500000000000007,
+        1.6000000000000008,
+        1.6500000000000008,
+        1.7000000000000008,
+        1.7500000000000009,
+        1.800000000000001,
+        1.850000000000001,
+        1.900000000000001,
+        1.950000000000001,
+        2.000000000000001,
+        2.0500000000000007,
+        2.1000000000000005,
+        2.1500000000000004,
+        2.2,
+        2.25,
+        2.3,
+        2.3499999999999996,
+        2.3999999999999995,
+        2.4499999999999993,
+        2.499999999999999,
+        2.549999999999999,
+        2.5999999999999988,
+        2.6499999999999986,
+        2.6999999999999984,
+        2.7499999999999982,
+        2.799999999999998,
+        2.849999999999998,
+        2.8999999999999977,
+        2.9499999999999975,
+        2.9999999999999973,
+        3.049999999999997,
+        3.099999999999997,
+        3.149999999999997,
+        3.1999999999999966,
+        3.2499999999999964,
+        3.2999999999999963,
+        3.349999999999996,
+        3.399999999999996,
+        3.4499999999999957,
+        3.4999999999999956,
+        3.5499999999999954,
+        3.599999999999995,
+        3.649999999999995,
+        3.699999999999995,
+        3.7499999999999947,
+        3.7999999999999945,
+        3.8499999999999943,
+        3.899999999999994,
+        3.949999999999994,
+        3.999999999999994,
+        4.049999999999994,
+        4.099999999999993,
+        4.149999999999993,
+        4.199999999999993,
+        4.249999999999993,
+        4.299999999999993,
+        4.3499999999999925,
+        4.399999999999992,
+        4.449999999999992,
+        4.499999999999992,
+        4.549999999999992,
+        4.599999999999992,
+        4.6499999999999915,
+        4.699999999999991,
+        4.749999999999991,
+        4.799999999999991,
+        4.849999999999991,
+        4.899999999999991,
+        4.94999999999999,
+        4.99999999999999,
+        5.04999999999999,
+        5.09999999999999,
+        5.14999999999999,
+        5.1999999999999895,
+        5.249999999999989,
+        5.299999999999989,
+        5.349999999999989,
+        5.399999999999989,
+        5.449999999999989,
+        5.4999999999999885,
+        5.549999999999988,
+        5.599999999999988,
+        5.649999999999988,
+        5.699999999999988,
+        5.749999999999988,
+        5.799999999999987,
+        5.849999999999987,
+        5.899999999999987,
+        5.949999999999987,
+        5.999999999999987,
+        6.0499999999999865,
+        6.099999999999986,
+        6.149999999999986,
+        6.199999999999986,
+        6.249999999999986,
+        6.299999999999986,
+        6.349999999999985,
+        6.399999999999985,
+        6.449999999999985,
+        6.499999999999985,
+        6.549999999999985,
+        6.5999999999999845,
+        6.649999999999984,
+        6.699999999999984,
+        6.749999999999984,
+        6.799999999999984,
+        6.849999999999984,
+        6.8999999999999835,
+        6.949999999999983,
+        6.999999999999983,
+        7.049999999999983,
+        7.099999999999983,
+        7.149999999999983,
+        7.199999999999982,
+        7.249999999999982,
+        7.299999999999982,
+        7.349999999999982,
+        7.399999999999982,
+        7.4499999999999815,
+        7.499999999999981,
+        7.549999999999981,
+        7.599999999999981,
+        7.649999999999981,
+        7.699999999999981,
+        7.7499999999999805,
+        7.79999999999998,
+        7.84999999999998,
+        7.89999999999998,
+        7.94999999999998,
+        7.99999999999998,
+        8.04999999999998,
+        8.09999999999998,
+        8.14999999999998,
+        8.199999999999982,
+        8.249999999999982,
+        8.299999999999983,
+        8.349999999999984,
+        8.399999999999984,
+        8.449999999999985,
+        8.499999999999986,
+        8.549999999999986,
+        8.599999999999987,
+        8.649999999999988,
+        8.699999999999989,
+        8.74999999999999,
+        8.79999999999999,
+        8.84999999999999,
+        8.899999999999991,
+        8.949999999999992,
+        8.999999999999993,
+        9.049999999999994,
+        9.099999999999994,
+        9.149999999999995,
+        9.199999999999996,
+        9.249999999999996,
+        9.299999999999997,
+        9.349999999999998,
+        9.399999999999999,
+        9.45,
+        9.5,
+        9.55,
+        9.600000000000001,
+        9.650000000000002,
+        9.700000000000003,
+        9.750000000000004,
+        9.800000000000004,
+        9.850000000000005,
+        9.900000000000006,
+        9.950000000000006,
+        10.000000000000007,
+        10.050000000000008,
+        10.100000000000009,
+        10.15000000000001,
+        10.20000000000001,
+        10.25000000000001,
+        10.300000000000011,
+        10.350000000000012,
+        10.400000000000013,
+        10.450000000000014,
+        10.500000000000014,
+        10.550000000000015,
+        10.600000000000016,
+        10.650000000000016,
+        10.700000000000017,
+        10.750000000000018,
+        10.800000000000018,
+        10.85000000000002,
+        10.90000000000002,
+        10.95000000000002,
+        11.000000000000021,
+        11.050000000000022,
+        11.100000000000023,
+        11.150000000000023,
+        11.200000000000024,
+        11.250000000000025,
+        11.300000000000026,
+        11.350000000000026,
+        11.400000000000027,
+        11.450000000000028,
+        11.500000000000028,
+        11.55000000000003,
+        11.60000000000003,
+        11.65000000000003,
+        11.700000000000031,
+        11.750000000000032,
+        11.800000000000033,
+        11.850000000000033,
+        11.900000000000034,
+        11.950000000000035,
+        12.000000000000036,
+        12.050000000000036,
+        12.100000000000037,
+        12.150000000000038,
+        12.200000000000038,
+        12.250000000000039,
+        12.30000000000004,
+        12.35000000000004,
+        12.400000000000041,
+        12.450000000000042,
+        12.500000000000043,
+        12.550000000000043,
+        12.600000000000044,
+        12.650000000000045,
+        12.700000000000045,
+        12.750000000000046,
+        12.800000000000047,
+        12.850000000000048,
+        12.900000000000048,
+        12.950000000000049,
+        13.00000000000005,
+        13.05000000000005,
+        13.100000000000051,
+        13.150000000000052,
+        13.200000000000053,
+        13.250000000000053,
+        13.300000000000054,
+        13.350000000000055,
+        13.400000000000055,
+        13.450000000000056,
+        13.500000000000057,
+        13.550000000000058,
+        13.600000000000058,
+        13.650000000000059,
+        13.70000000000006,
+        13.75000000000006,
+        13.800000000000061,
+        13.850000000000062,
+        13.900000000000063,
+        13.950000000000063,
+        14.000000000000064,
+        14.050000000000065,
+        14.100000000000065,
+        14.150000000000066,
+        14.200000000000067,
+        14.250000000000068,
+        14.300000000000068,
+        14.350000000000069,
+        14.40000000000007,
+        14.45000000000007,
+        14.500000000000071,
+        14.550000000000072,
+        14.600000000000072,
+        14.650000000000073,
+        14.700000000000074,
+        14.750000000000075,
+        14.800000000000075,
+        14.850000000000076,
+        14.900000000000077,
+        14.950000000000077,
+        15.000000000000078,
+        15.050000000000079,
+        15.10000000000008,
+        15.15000000000008,
+        15.200000000000081,
+        15.250000000000082,
+        15.300000000000082,
+        15.350000000000083,
+        15.400000000000084,
+        15.450000000000085,
+        15.500000000000085,
+        15.550000000000086,
+        15.600000000000087,
+        15.650000000000087,
+        15.700000000000088,
+        15.750000000000089,
+        15.80000000000009,
+        15.85000000000009,
+        15.900000000000091,
+        15.950000000000092,
+        16.000000000000092,
+        16.050000000000093,
+        16.100000000000094,
+        16.150000000000095,
+        16.200000000000095,
+        16.250000000000096,
+        16.300000000000097,
+        16.350000000000097,
+        16.400000000000098,
+        16.4500000000001,
+        16.5000000000001,
+        16.5500000000001,
+        16.6000000000001,
+        16.6500000000001,
+        16.700000000000102,
+        16.750000000000103,
+        16.800000000000104,
+        16.850000000000104,
+        16.900000000000105,
+        16.950000000000106,
+        17.000000000000107,
+        17.050000000000107,
+        17.100000000000108,
+        17.15000000000011,
+        17.20000000000011,
+        17.25000000000011,
+        17.30000000000011,
+        17.35000000000011,
+        17.400000000000112,
+        17.450000000000113,
+        17.500000000000114,
+        17.550000000000114,
+        17.600000000000115,
+        17.650000000000116,
+        17.700000000000117,
+        17.750000000000117,
+        17.800000000000118,
+        17.85000000000012,
+        17.90000000000012,
+        17.95000000000012,
+        18.00000000000012,
+        18.05000000000012,
+        18.100000000000122,
+        18.150000000000123,
+        18.200000000000124,
+        18.250000000000124,
+        18.300000000000125,
+        18.350000000000126,
+        18.400000000000126,
+        18.450000000000127,
+        18.500000000000128,
+        18.55000000000013,
+        18.60000000000013,
+        18.65000000000013,
+        18.70000000000013,
+        18.75000000000013,
+        18.800000000000132,
+        18.850000000000133,
+        18.900000000000134,
+        18.950000000000134,
+        19.000000000000135,
+        19.050000000000136,
+        19.100000000000136,
+        19.150000000000137,
+        19.200000000000138,
+        19.25000000000014,
+        19.30000000000014,
+        19.35000000000014,
+        19.40000000000014,
+        19.45000000000014,
+        19.500000000000142,
+        19.550000000000143,
+        19.600000000000144,
+        19.650000000000144,
+        19.700000000000145,
+        19.750000000000146,
+        19.800000000000146,
+        19.850000000000147,
+        19.900000000000148,
+        19.95000000000015,
+        20.00000000000015,
+        20.05000000000015,
+        20.10000000000015,
+        20.15000000000015,
+        20.200000000000152,
+        20.250000000000153,
+        20.300000000000153,
+        20.350000000000154,
+        20.400000000000155,
+        20.450000000000156,
+        20.500000000000156,
+        20.550000000000157,
+        20.600000000000158,
+        20.65000000000016,
+        20.70000000000016,
+        20.75000000000016,
+        20.80000000000016,
+        20.85000000000016,
+        20.900000000000162,
+        20.950000000000163,
+        21.000000000000163,
+        21.050000000000164,
+        21.100000000000165,
+        21.150000000000166,
+        21.200000000000166,
+        21.250000000000167,
+        21.300000000000168,
+        21.35000000000017,
+        21.40000000000017,
+        21.45000000000017,
+        21.50000000000017,
+        21.55000000000017,
+        21.600000000000172,
+        21.650000000000173,
+        21.700000000000173,
+        21.750000000000174,
+        21.800000000000175,
+        21.850000000000176,
+        21.900000000000176,
+        21.950000000000177,
+        22.000000000000178,
+        22.05000000000018,
+        22.10000000000018,
+        22.15000000000018,
+        22.20000000000018,
+        22.25000000000018,
+        22.300000000000182,
+        22.350000000000183,
+        22.400000000000183,
+        22.450000000000184,
+        22.500000000000185,
+        22.550000000000185,
+        22.600000000000186,
+        22.650000000000187,
+        22.700000000000188,
+        22.75000000000019,
+        22.80000000000019,
+        22.85000000000019,
+        22.90000000000019,
+        22.95000000000019,
+        23.000000000000192,
+        23.050000000000193,
+        23.100000000000193,
+        23.150000000000194,
+        23.200000000000195,
+        23.250000000000195,
+        23.300000000000196,
+        23.350000000000197,
+        23.400000000000198,
+        23.4500000000002,
+        23.5000000000002,
+        23.5500000000002,
+        23.6000000000002,
+        23.6500000000002,
+        23.700000000000202,
+        23.750000000000203,
+        23.800000000000203,
+        23.850000000000204,
+        23.900000000000205,
+        23.950000000000205,
+        24.000000000000206,
+        24.050000000000207,
+        24.100000000000207,
+        24.150000000000208,
+        24.20000000000021,
+        24.25000000000021,
+        24.30000000000021,
+        24.35000000000021,
+        24.40000000000021,
+        24.450000000000212,
+        24.500000000000213,
+        24.550000000000214,
+        24.600000000000215,
+        24.650000000000215,
+        24.700000000000216,
+        24.750000000000217,
+        24.800000000000217,
+        24.850000000000218,
+        24.90000000000022,
+        24.95000000000022,
+        25.00000000000022,
+        25.05000000000022,
+        25.10000000000022,
+        25.150000000000222,
+        25.200000000000223,
+        25.250000000000224,
+        25.300000000000225,
+        25.350000000000225,
+        25.400000000000226,
+        25.450000000000227,
+        25.500000000000227,
+        25.550000000000228,
+        25.60000000000023,
+        25.65000000000023,
+        25.70000000000023,
+        25.75000000000023,
+        25.80000000000023,
+        25.850000000000232,
+        25.900000000000233,
+        25.950000000000234,
+        26.000000000000234,
+        26.050000000000235,
+        26.100000000000236,
+        26.150000000000237,
+        26.200000000000237,
+        26.250000000000238,
+        26.30000000000024,
+        26.35000000000024,
+        26.40000000000024,
+        26.45000000000024,
+        26.50000000000024,
+        26.550000000000242,
+        26.600000000000243,
+        26.650000000000244,
+        26.700000000000244,
+        26.750000000000245,
+        26.800000000000246,
+        26.850000000000247,
+        26.900000000000247,
+        26.950000000000248,
+        27.00000000000025,
+        27.05000000000025,
+        27.10000000000025,
+        27.15000000000025,
+        27.20000000000025,
+        27.250000000000252,
+        27.300000000000253,
+        27.350000000000254,
+        27.400000000000254,
+        27.450000000000255,
+        27.500000000000256,
+        27.550000000000257,
+        27.600000000000257,
+        27.650000000000258,
+        27.70000000000026,
+        27.75000000000026,
+        27.80000000000026,
+        27.85000000000026,
+        27.90000000000026,
+        27.950000000000262,
+        28.000000000000263,
+        28.050000000000264,
+        28.100000000000264,
+        28.150000000000265,
+        28.200000000000266,
+        28.250000000000266,
+        28.300000000000267,
+        28.350000000000268,
+        28.40000000000027,
+        28.45000000000027,
+        28.50000000000027,
+        28.55000000000027,
+        28.60000000000027,
+        28.650000000000272,
+        28.700000000000273,
+        28.750000000000274,
+        28.800000000000274,
+        28.850000000000275,
+        28.900000000000276,
+        28.950000000000276,
+        29.000000000000277,
+        29.050000000000278,
+        29.10000000000028,
+        29.15000000000028,
+        29.20000000000028,
+        29.25000000000028,
+        29.30000000000028,
+        29.350000000000282,
+        29.400000000000283,
+        29.450000000000284,
+        29.500000000000284,
+        29.550000000000285,
+        29.600000000000286,
+        29.650000000000286,
+        29.700000000000287,
+        29.750000000000288,
+        29.80000000000029,
+        29.85000000000029,
+        29.90000000000029,
+        29.95000000000029,
+        30.00000000000029,
+        30.050000000000292,
+        30.100000000000293,
+        30.150000000000293,
+        30.200000000000294,
+        30.250000000000295,
+        30.300000000000296,
+        30.350000000000296,
+        30.400000000000297,
+        30.450000000000298,
+        30.5000000000003,
+        30.5500000000003,
+        30.6000000000003,
+        30.6500000000003,
+        30.7000000000003,
+        30.750000000000302,
+        30.800000000000303,
+        30.850000000000303,
+        30.900000000000304,
+        30.950000000000305,
+        31.000000000000306,
+        31.050000000000306,
+        31.100000000000307,
+        31.150000000000308,
+        31.20000000000031,
+        31.25000000000031,
+        31.30000000000031,
+        31.35000000000031,
+        31.40000000000031,
+        31.450000000000312,
+        31.500000000000313,
+        31.550000000000313,
+        31.600000000000314,
+        31.650000000000315,
+        31.700000000000315,
+        31.750000000000316,
+        31.800000000000317,
+        31.850000000000318,
+        31.90000000000032,
+        31.95000000000032,
+        32.00000000000032,
+        32.05000000000032,
+        32.100000000000314,
+        32.15000000000031,
+        32.20000000000031,
+        32.250000000000306,
+        32.3000000000003,
+        32.3500000000003,
+        32.4000000000003,
+        32.450000000000294,
+        32.50000000000029,
+        32.55000000000029,
+        32.600000000000286,
+        32.65000000000028,
+        32.70000000000028,
+        32.75000000000028,
+        32.800000000000274,
+        32.85000000000027,
+        32.90000000000027,
+        32.950000000000266,
+        33.00000000000026,
+        33.05000000000026,
+        33.10000000000026,
+        33.150000000000254,
+        33.20000000000025,
+        33.25000000000025,
+        33.300000000000246,
+        33.35000000000024,
+        33.40000000000024,
+        33.45000000000024,
+        33.500000000000234,
+        33.55000000000023,
+        33.60000000000023,
+        33.650000000000226,
+        33.70000000000022,
+        33.75000000000022,
+        33.80000000000022,
+        33.850000000000215,
+        33.90000000000021,
+        33.95000000000021,
+        34.000000000000206,
+        34.0500000000002,
+        34.1000000000002,
+        34.1500000000002,
+        34.200000000000195,
+        34.25000000000019,
+        34.30000000000019,
+        34.350000000000186,
+        34.40000000000018,
+        34.45000000000018,
+        34.50000000000018,
+        34.550000000000175,
+        34.60000000000017,
+        34.65000000000017,
+        34.700000000000166,
+        34.75000000000016,
+        34.80000000000016,
+        34.85000000000016,
+        34.900000000000155,
+        34.95000000000015,
+        35.00000000000015,
+        35.050000000000146,
+        35.10000000000014,
+        35.15000000000014,
+        35.20000000000014,
+        35.250000000000135,
+        35.30000000000013,
+        35.35000000000013,
+        35.40000000000013,
+        35.450000000000124,
+        35.50000000000012,
+        35.55000000000012
+    ],
+    "x": [
+        1733.0000000000002,
+        1732.9495770046142,
+        1732.9981763092983,
+        1732.9275254677389,
+        1732.8295866788071,
+        1732.9784787967228,
+        1732.8583883971587,
+        1732.948917028982,
+        1732.9304789109028,
+        1732.6776232967457,
+        1732.54045198345,
+        1732.830565791011,
+        1732.4999372872621,
+        1732.4312325195765,
+        1732.7804019950222,
+        1732.6009857735542,
+        1732.6881822014584,
+        1732.227666529423,
+        1732.6761522147858,
+        1732.4631943741083,
+        1732.4468339253933,
+        1731.9095859183758,
+        1731.6757636837388,
+        1731.701891414651,
+        1732.2720716188278,
+        1731.5990514437076,
+        1731.936410685692,
+        1731.9886800913187,
+        1731.2721270298225,
+        1731.2147666707401,
+        1731.7181743769993,
+        1731.3297395934335,
+        1731.53459923568,
+        1730.3200101810264,
+        1730.683474424587,
+        1731.6151955047276,
+        1731.191511529994,
+        1730.2826844391675,
+        1729.5784541029964,
+        1729.6822402592104,
+        1730.3622091999446,
+        1730.4837457328392,
+        1729.1798239292882,
+        1729.857888390095,
+        1729.1304903568162,
+        1730.0248507595697,
+        1729.6728399606852,
+        1728.3189390125335,
+        1728.8057220863636,
+        1729.120610869369,
+        1729.5994234048476,
+        1729.451355162701,
+        1728.4068342299718,
+        1728.4876513163383,
+        1727.6250796950944,
+        1727.8904798059075,
+        1728.033202296518,
+        1727.9014252053814,
+        1728.1736609072536,
+        1729.2115258182525,
+        1729.3357954165172,
+        1729.540858025509,
+        1729.7704383086148,
+        1728.7122799144472,
+        1728.570397481692,
+        1728.441097701681,
+        1729.0252010800673,
+        1729.7858759362912,
+        1730.3480233651867,
+        1729.5417208385206,
+        1730.162350734773,
+        1730.014482201677,
+        1729.682877412587,
+        1729.596602361192,
+        1728.3685256631186,
+        1728.5943537172689,
+        1729.8545886315815,
+        1731.7258460671933,
+        1734.039861507048,
+        1736.7314300975822,
+        1739.7769100927646,
+        1743.1684164950775,
+        1745.3917015055406,
+        1746.6028001294912,
+        1749.328626008067,
+        1752.8761648445316,
+        1755.2545873062716,
+        1758.790815341971,
+        1761.1937767181626,
+        1762.6304371781657,
+        1765.6088810473575,
+        1769.5250619749386,
+        1773.9924135237939,
+        1778.8475387144235,
+        1784.0198710643986,
+        1789.476334371141,
+        1795.1978708395254,
+        1801.1695174073013,
+        1807.3763222871705,
+        1813.801785350928,
+        1820.4273798163658,
+        1827.2325271412412,
+        1834.1947531922365,
+        1841.2899094062102,
+        1848.4924103686033,
+        1855.7754684417516,
+        1863.1113184962269,
+        1870.4714309409912,
+        1877.8267132623544,
+        1885.1477009694095,
+        1892.4047389827213,
+        1899.5681544267727,
+        1906.6084216361562,
+        1913.4963200192014,
+        1920.2030852640062,
+        1926.7005542291367,
+        1932.961303736866,
+        1939.6260300715614,
+        1946.6881246247315,
+        1953.0688918410347,
+        1959.0004038423785,
+        1965.4949834809381,
+        1971.3342429303339,
+        1977.7961834242833,
+        1983.4997273017243,
+        1989.8848684836312,
+        1996.8500376678373,
+        2002.8552254854196,
+        2008.2545293566573,
+        2013.2069398316662,
+        2017.7687487001795,
+        2021.9558238421891,
+        2025.7658963065744,
+        2029.1883986120642,
+        2032.2093715367741,
+        2034.8140431983074,
+        2036.9882170555716,
+        2038.7190324720432,
+        2039.9953902672755,
+        2040.8081963735813,
+        2041.1505037390089,
+        2041.0175944869668,
+        2040.4070245497803,
+        2039.3186427544115,
+        2037.754591025449,
+        2035.7192895805915,
+        2033.2194094961392,
+        2030.263834189549,
+        2026.8636108869946,
+        2024.320599595156,
+        2022.5545164397931,
+        2019.4308308677546,
+        2015.5001013950155,
+        2012.52269920022,
+        2008.4725197933624,
+        2003.765142270781,
+        1998.5928827385612,
+        1993.0486960955159,
+        1987.1826219025722,
+        1981.0269565729695,
+        1975.5864244422914,
+        1970.7717273983803,
+        1964.9493147293715,
+        1958.558232083988,
+        1952.8701632899742,
+        1946.4428758320917,
+        1939.5975030603786,
+        1932.4920132569796,
+        1925.2073795098777,
+        1917.7913195368046,
+        1910.2782178721313,
+        1902.6978119974733,
+        1895.0787994186394,
+        1887.4502005310433,
+        1879.841752072053,
+        1872.2838951839556,
+        1864.8076037056521,
+        1857.2569434188463,
+        1849.5999303130377,
+        1842.1038320900373,
+        1834.7578163111111,
+        1827.5876392027483,
+        1820.6188302089824,
+        1813.3433932685493,
+        1806.4298490745991,
+        1799.82645276844,
+        1793.5261601631469,
+        1787.537376066507,
+        1781.875750267323,
+        1776.560626993107,
+        1771.6129681579953,
+        1767.0540210819033,
+        1761.7977382787594,
+        1757.3283121958586,
+        1753.4565324596574,
+        1750.1061438661504,
+        1747.2485633432568,
+        1744.8765833205161,
+        1741.6262685136617,
+        1737.5443379874714,
+        1734.8158558410723,
+        1732.9479290280658,
+        1730.5387451637798,
+        1729.1116944658584,
+        1728.3885379656313,
+        1728.246912152823,
+        1728.6323535258862,
+        1729.5206461865018,
+        1729.3743993210146,
+        1730.2796967238278,
+        1731.919671281028,
+        1732.523620184602,
+        1732.1598751642196,
+        1730.9402861366161,
+        1729.14937270105,
+        1726.9066705979656,
+        1724.2597810800285,
+        1721.2252407532649,
+        1717.8072975311316,
+        1714.0067169096883,
+        1709.8248793442967,
+        1705.265607623989,
+        1700.3358949120127,
+        1695.0461028502614,
+        1689.4099073150064,
+        1683.4441267661346,
+        1677.1684984069407,
+        1670.6054333912916,
+        1663.7797658244708,
+        1656.7185023435595,
+        1649.450575249904,
+        1642.006600364431,
+        1634.4186399494024,
+        1626.7199706853644,
+        1618.9448565663556,
+        1611.1283265617692,
+        1603.3059569317797,
+        1595.5136581461882,
+        1587.7874664291644,
+        1580.1633400268852,
+        1572.6769603671437,
+        1565.363538347061,
+        1558.2576260456076,
+        1551.3929342107456,
+        1544.8021559161662,
+        1538.5167968195346,
+        1531.7909729266894,
+        1524.61051232284,
+        1517.0058347078595,
+        1509.1309781428836,
+        1502.109227886978,
+        1495.657554646744,
+        1489.315706447287,
+        1482.3349571663757,
+        1476.079709618668,
+        1470.3412002176713,
+        1465.0476221551655,
+        1460.176580401941,
+        1455.727273676539,
+        1451.7093245811227,
+        1448.137223584819,
+        1445.0272255406885,
+        1442.3955329133464,
+        1438.8865759299692,
+        1436.32430007038,
+        1434.477633421885,
+        1433.243454883569,
+        1432.575408923645,
+        1432.453102708701,
+        1431.3793819905536,
+        1431.347269977609,
+        1430.3433240549757,
+        1430.5766801865238,
+        1431.6537363496432,
+        1433.3898408510775,
+        1435.6950548134614,
+        1438.522806248825,
+        1441.8459700250294,
+        1445.645366351981,
+        1449.9041706652706,
+        1454.6052214042759,
+        1458.497120051985,
+        1461.6393598386967,
+        1466.0069081688644,
+        1471.1481578885464,
+        1476.8327038441612,
+        1482.9402211427346,
+        1489.4019745212377,
+        1496.1724792134607,
+        1503.21597627619,
+        1510.500076068828,
+        1517.2807728926255,
+        1524.5629431585735,
+        1532.1540602560244,
+        1539.756850736721,
+        1547.5884169680976,
+        1555.5501499398997,
+        1563.5782350774634,
+        1571.6248288617799,
+        1579.6488974892336,
+        1587.628080736292,
+        1595.609045124225,
+        1603.6026827994287,
+        1611.5506616637522,
+        1619.3911738261909,
+        1627.0777390682745,
+        1634.572996690118,
+        1641.843378764433,
+        1649.414015480279,
+        1656.6011824662355,
+        1663.438799054986,
+        1669.9257791070313,
+        1676.8970685863937,
+        1683.2853896940364,
+        1689.18947665832,
+        1694.6404718224708,
+        1699.6423689778726,
+        1705.3250964581523,
+        1710.2244539900312,
+        1714.499170184814,
+        1718.2137529077147,
+        1721.391910904858,
+        1724.038419644466,
+        1727.532382391134,
+        1730.0648239275815,
+        1731.8539670995654,
+        1732.9997775565275,
+        1735.076507198138,
+        1736.093855439577,
+        1736.319771052109,
+        1735.8814933289284,
+        1734.8417733091064,
+        1733.2333120328367,
+        1732.5687181144194,
+        1732.8109818302182,
+        1733.9881276296915,
+        1735.8473304230902,
+        1738.2358353846644,
+        1741.0861921425187,
+        1744.3700123282047,
+        1748.0759217901673,
+        1752.1986857593934,
+        1756.7338098713267,
+        1761.6749169235209,
+        1767.0125501748603,
+        1772.7337119319416,
+        1778.8217802167837,
+        1785.256618743482,
+        1792.0147847824946,
+        1799.0697857210553,
+        1806.3923589700262,
+        1813.950762121933,
+        1821.7110665448822,
+        1829.6374508061003,
+        1837.6924919519324,
+        1845.8374534949608,
+        1854.0325693657437,
+        1862.2373232773616,
+        1870.4107230287204,
+        1878.5115692910726,
+        1886.4987184099077,
+        1894.3313387267908,
+        1902.3240631500466,
+        1910.5243497923661,
+        1918.8976197230768,
+        1926.9077565793166,
+        1934.656342746507,
+        1942.6890873499392,
+        1950.3697747195183,
+        1957.7399214210159,
+        1964.7932447348476,
+        1971.8029079088658,
+        1978.4076840607102,
+        1985.5360277814166,
+        1992.052773042252,
+        1998.0637746109323,
+        2003.602287506482,
+        2008.6730978098046,
+        2013.267901576461,
+        2017.3721190918773,
+        2020.9685713174022,
+        2024.0396759285604,
+        2026.5688122615256,
+        2028.5411830092735,
+        2029.9443634422655,
+        2030.7686542045126,
+        2031.0073083834914,
+        2030.6566755040167,
+        2031.1425589575938,
+        2030.597616750651,
+        2030.9285904292724,
+        2032.1442632451435,
+        2031.8173173526968,
+        2030.4645480147674,
+        2028.3410718864338,
+        2025.575930324373,
+        2022.2381141910284,
+        2018.3682376795196,
+        2014.4682380671125,
+        2009.9253173755085,
+        2006.21717881518,
+        2001.5505469716054,
+        1996.2035660727051,
+        1990.3274560316513,
+        1984.010268320546,
+        1977.3097548883247,
+        1971.2589234707946,
+        1964.5242995645897,
+        1957.3224530257576,
+        1949.779419838881,
+        1941.9748864965024,
+        1933.966267611162,
+        1925.8009484517308,
+        1917.9468079980593,
+        1910.3517375445522,
+        1902.3307563817002,
+        1894.0686157658129,
+        1885.691853626287,
+        1877.2829442275565,
+        1868.9007200033798,
+        1860.5928533719166,
+        1852.402199954779,
+        1844.3696771251798,
+        1836.535386534088,
+        1828.9389020881918,
+        1821.6191848760855,
+        1814.6143457139442,
+        1807.232611825892,
+        1800.3742993474634,
+        1793.989492796204,
+        1787.087224433284,
+        1779.6451439854768,
+        1771.6873413994217,
+        1764.7257245286319,
+        1758.426034321296,
+        1752.6744976243226,
+        1747.4331062642973,
+        1742.6940985690846,
+        1738.463746966317,
+        1734.755109819564,
+        1731.5840944561742,
+        1728.9670827059886,
+        1726.9194383378558,
+        1725.4545554124948,
+        1724.5832483497447,
+        1724.3133609007818,
+        1724.6495178468851,
+        1725.592972529752,
+        1727.141521540198,
+        1729.2894690304083,
+        1732.0276298120307,
+        1735.3433643799913,
+        1737.8923372480579,
+        1739.683750926133,
+        1740.6568695921205,
+        1740.8647847862721,
+        1740.4624940716558,
+        1739.519608676112,
+        1738.065362753577,
+        1736.1099871126803,
+        1733.655681316561,
+        1730.7024774121642,
+        1727.2513990398252,
+        1723.3061320513302,
+        1718.87386163771,
+        1713.965638446793,
+        1708.5964760837865,
+        1702.7852932775118,
+        1696.5547642785086,
+        1689.9311133955935,
+        1682.9438742390987,
+        1675.6256257450664,
+        1668.0117123425512,
+        1660.1399529968207,
+        1652.0503423788268,
+        1643.7847465632549,
+        1635.3865951635958,
+        1626.9005715197259,
+        1618.3723023769535,
+        1609.8480483880508,
+        1601.3743967042797,
+        1592.997956881657,
+        1584.7650613045198,
+        1576.721471313137,
+        1568.9120902110458,
+        1561.3806843175191,
+        1554.1696132186132,
+        1547.3195703546767,
+        1540.8693350615713,
+        1534.8555371561445,
+        1529.3124351229287,
+        1524.2717089181701,
+        1519.7622683588547,
+        1515.8100780083437,
+        1511.227445299705,
+        1506.3986534312237,
+        1500.8479370335508,
+        1494.5509714161713,
+        1487.7598915136623,
+        1480.6086818239594,
+        1473.1677043356694,
+        1465.4776280181215,
+        1457.5668038753236,
+        1450.4460373986235,
+        1444.0345385371752,
+        1438.2435276287451,
+        1432.990706688846,
+        1428.2495790508976,
+        1424.0168839920348,
+        1420.3007938014357,
+        1417.1152913720598,
+        1414.476839614968,
+        1412.402204070306,
+        1410.906989506714,
+        1410.0046539569423,
+        1409.7058474405067,
+        1410.0179725729304,
+        1410.944898564202,
+        1412.486783750844,
+        1414.6399775917891,
+        1417.3969832717717,
+        1420.74646851216,
+        1424.6733162130292,
+        1429.1587090442924,
+        1434.1802436529601,
+        1439.7120711245452,
+        1445.7250609535731,
+        1452.1869861764317,
+        1459.0627275805925,
+        1466.3144950765268,
+        1473.9020644322247,
+        1481.7830276439067,
+        1489.9130552624192,
+        1498.2461690213104,
+        1506.7350231256373,
+        1515.3311925646913,
+        1523.9854668106154,
+        1532.5286681578914,
+        1541.0106838339916,
+        1549.3876379557714,
+        1557.5751082401264,
+        1565.5166648257862,
+        1573.1714334561234,
+        1580.5077495891246,
+        1588.3153816377935,
+        1596.6428028686478,
+        1605.2719267709997,
+        1614.0503571430224,
+        1622.88345309628,
+        1631.7081121126212,
+        1640.4761659510523,
+        1649.1467191853362,
+        1657.8117597877572,
+        1666.3896571214677,
+        1674.8157945332812,
+        1683.038883560455,
+        1691.0146257655997,
+        1698.7018676096568,
+        1706.0608771269622,
+        1713.0528311686503,
+        1719.6398865240692,
+        1725.7854923411303,
+        1731.454776682619,
+        1736.6149327436951,
+        1741.2355750583324,
+        1745.289056118175,
+        1748.7507420735292,
+        1751.599249104359,
+        1753.8166427499075,
+        1755.3886023717994,
+        1756.3045525887683,
+        1756.5577631866156,
+        1756.1454187437175,
+        1755.0621468028417,
+        1753.3458024758888,
+        1751.0486103205221,
+        1748.1884665530204,
+        1744.8059049597869,
+        1740.941405303572,
+        1737.5271307415123,
+        1733.8375203531086,
+        1729.5797922670768,
+        1724.7733854547546,
+        1720.7730909039246,
+        1717.5361115005344,
+        1713.3988169829445,
+        1710.156446893488,
+        1706.9751453349609,
+        1703.3636263983453,
+        1700.7989017636705,
+        1698.3152916391873,
+        1695.70804884843,
+        1693.8461063658115,
+        1692.4951637235627,
+        1690.9847329456875,
+        1690.0594370289202,
+        1689.5201339965952,
+        1689.2897706610809,
+        1689.3366438742141,
+        1688.1640409031306,
+        1688.1612463897936,
+        1688.239991167824,
+        1688.7595717231434,
+        1689.6527274669884,
+        1689.4843994896914,
+        1690.4435728847293,
+        1690.810371167639,
+        1691.552927999177,
+        1692.9717130713893,
+        1694.6043752341625,
+        1695.1827860487983,
+        1695.1684247286164,
+        1696.8669869233083,
+        1698.735807724373,
+        1699.60851405925,
+        1700.3428037182484,
+        1700.6725402897114,
+        1702.3894529546283,
+        1703.244623858724,
+        1705.076608106496,
+        1705.2593674252366,
+        1707.3134032719595,
+        1707.5202169946372,
+        1709.6096327503137,
+        1709.7830134224691,
+        1711.8952576080292,
+        1712.9528949215162,
+        1713.0475774220592,
+        1713.1438202127054,
+        1714.3192244600455,
+        1715.0832055629498,
+        1716.4468746864386,
+        1716.7014881934717,
+        1717.5978954647758,
+        1718.379668515106,
+        1718.6568661550446,
+        1719.233370891262,
+        1720.0233176417782,
+        1721.0700855430396,
+        1721.2686454054406,
+        1721.7375081138946,
+        1722.2608314175836,
+        1723.0780208877216,
+        1723.2602503842722,
+        1723.4499081697581,
+        1724.086419509065,
+        1724.334937732629,
+        1724.5030081213067,
+        1724.9271555678201,
+        1725.2329029630612,
+        1725.401774273003,
+        1725.6768893019148,
+        1725.8647362678691,
+        1726.0950268646823,
+        1726.281408341544,
+        1726.4558785163874,
+        1726.629687440055,
+        1726.7986022787295,
+        1726.9895331306566,
+        1727.1608644909147,
+        1727.344950619999,
+        1727.5116321464584,
+        1727.6998344511567,
+        1727.860559138756,
+        1728.0335478052975,
+        1728.2082001396998,
+        1728.407737449245,
+        1728.5767794903215,
+        1728.757343408005,
+        1728.9314966047182,
+        1729.1122733687143,
+        1729.2671093468919,
+        1729.4462180515152,
+        1729.6168861155893,
+        1729.8065213809246,
+        1729.9800179348313,
+        1730.171836570912,
+        1730.3450702957095,
+        1730.5433891269831,
+        1730.7163421233336,
+        1730.9106102926792,
+        1731.0832932225044,
+        1731.2770903187084,
+        1731.4495041563741,
+        1731.6369091810745,
+        1731.8090709704795,
+        1731.9798319230422,
+        1732.125794865742,
+        1732.298635684565,
+        1732.4688888321502,
+        1732.6392453845087,
+        1732.7814412637576,
+        1732.9515949052202,
+        1733.1181147052068,
+        1733.2880711202413,
+        1733.4463984960453,
+        1733.616149287321,
+        1733.7790543590236,
+        1733.9523129911695,
+        1734.1191909936938,
+        1734.2885404324077,
+        1734.4486709326013,
+        1734.617819591372,
+        1734.7826439953747,
+        1734.9571381575374,
+        1735.1116558462695,
+        1735.280403948884,
+        1735.4505907074913,
+        1735.6384046855317,
+        1735.8083351623666,
+        1735.9996553293604
+    ],
+    "y": [
+        -406.0866103896103,
+        -406.2597487060356,
+        -406.51945882570675,
+        -406.8655290787699,
+        -407.2977747966359,
+        -407.8170153819277,
+        -408.42197053473274,
+        -409.11361240345616,
+        -409.89121114801065,
+        -410.7537828302803,
+        -411.7023607997904,
+        -412.74036620654965,
+        -413.85968901821064,
+        -415.06666377674344,
+        -416.36325440172345,
+        -417.74155951667285,
+        -419.20732166830135,
+        -420.75291556500605,
+        -422.39438407561477,
+        -424.1147416565538,
+        -425.9221201757363,
+        -427.80625640482833,
+        -429.7791803612443,
+        -431.8441851510709,
+        -434.00351499099634,
+        -436.2255045236342,
+        -438.5523404925547,
+        -440.95757788603123,
+        -443.4310339921722,
+        -446.00455925802845,
+        -448.6758640816289,
+        -451.4122359633315,
+        -454.2456282687439,
+        -457.1145795764931,
+        -460.1332520542304,
+        -463.240253931059,
+        -466.40059904749177,
+        -469.6225697705961,
+        -472.92250357538313,
+        -476.3551810162971,
+        -479.8939969971423,
+        -483.48668203205796,
+        -487.10429435544614,
+        -490.8959746704184,
+        -494.7095890645615,
+        -498.67247975859846,
+        -502.6854278022717,
+        -506.7385838445832,
+        -510.97450103007066,
+        -515.2882487952165,
+        -519.6940590823792,
+        -524.1908749434399,
+        -528.767587149744,
+        -533.4759971756321,
+        -538.253388877464,
+        -543.1873770047567,
+        -548.2226913984742,
+        -553.3619860474291,
+        -558.6241733470824,
+        -563.9896870838561,
+        -569.4816311402428,
+        -575.0937860366683,
+        -580.8287250922233,
+        -586.7123997257161,
+        -592.7030532777871,
+        -598.8205942124321,
+        -605.0650725193537,
+        -611.4247682711883,
+        -617.9147177669595,
+        -624.5812690039992,
+        -631.3419978818142,
+        -638.2578533897065,
+        -645.3091162836656,
+        -652.4936578391656,
+        -659.6576041771939,
+        -666.8596517408944,
+        -674.0567711743563,
+        -681.1737871645807,
+        -688.1696175074901,
+        -695.0203503471607,
+        -701.7069977966706,
+        -708.2106778040429,
+        -715.0751972559401,
+        -722.2848739302235,
+        -728.9889139002322,
+        -735.3670551766684,
+        -742.2099378482153,
+        -748.5630541291044,
+        -755.4229430160518,
+        -762.6757596342426,
+        -769.2933433202306,
+        -775.4928256899816,
+        -781.3668974441327,
+        -786.942233208191,
+        -792.2212587074689,
+        -797.194974638702,
+        -801.8486556405634,
+        -806.1649532908992,
+        -810.1256960920766,
+        -813.7129546316419,
+        -816.9096847993719,
+        -819.7001287303154,
+        -822.0700751780412,
+        -824.0070358821856,
+        -825.5003691849472,
+        -826.5413683115441,
+        -827.1233242535741,
+        -827.2415691472172,
+        -826.893503809355,
+        -826.0786118269613,
+        -824.7984618413939,
+        -823.0566991981668,
+        -820.8590278243855,
+        -818.213182986935,
+        -815.1288954401239,
+        -811.6178473718824,
+        -807.6936204905069,
+        -804.5988318181564,
+        -802.2455171256881,
+        -798.5779149907771,
+        -794.1512448085343,
+        -790.6417797776467,
+        -786.1111490989213,
+        -782.491526264408,
+        -777.7776984856862,
+        -773.9980874472199,
+        -771.0805702236387,
+        -766.7567687783928,
+        -761.596967472895,
+        -755.9450425108255,
+        -749.9546108753686,
+        -743.6971440042039,
+        -737.2102509871161,
+        -730.5186988168622,
+        -723.6434166133535,
+        -716.6052121461569,
+        -709.4261737946132,
+        -702.1300730517939,
+        -694.742346905384,
+        -687.2899130609875,
+        -679.8009268222369,
+        -672.3045252230731,
+        -664.8305765755549,
+        -657.4094418949385,
+        -650.0717498232007,
+        -642.8481847918365,
+        -635.7692875399034,
+        -628.8652669947371,
+        -622.1658226133894,
+        -615.142908911238,
+        -607.7895067858556,
+        -600.9919749893343,
+        -594.5793145830257,
+        -587.6923922738514,
+        -581.3668870258975,
+        -575.4577190284801,
+        -569.9186669191607,
+        -564.7393490165894,
+        -559.9251917402383,
+        -555.4890779223481,
+        -550.3082942002193,
+        -544.4231940604592,
+        -539.6519305430776,
+        -535.5846577691634,
+        -530.6296568138537,
+        -526.6521880825925,
+        -523.3363571781247,
+        -520.555214690499,
+        -518.2584093593664,
+        -516.429088292401,
+        -515.065198200839,
+        -514.1706728905006,
+        -513.7511135748247,
+        -513.8116413677852,
+        -514.3558294606413,
+        -515.3851790975925,
+        -516.8988725674197,
+        -517.4695011963925,
+        -517.171032153849,
+        -518.3298776459666,
+        -520.3816174881946,
+        -523.070675082456,
+        -526.278227793148,
+        -528.4714226383016,
+        -531.6837286853668,
+        -535.5682700317113,
+        -539.9620235933371,
+        -544.7839287453205,
+        -549.988866808761,
+        -555.5467753062371,
+        -561.433130337311,
+        -567.6246594052238,
+        -573.1501924736523,
+        -579.3535985041426,
+        -585.9845122100816,
+        -592.9143567952304,
+        -600.0708704082122,
+        -607.4064939451766,
+        -614.3297857576995,
+        -620.9039255387781,
+        -628.0629966921795,
+        -635.5380910535746,
+        -642.8155060245331,
+        -650.3867425193084,
+        -658.0953134407157,
+        -665.8542423589059,
+        -673.6105019907499,
+        -681.325493562179,
+        -689.008932138719,
+        -696.6660744653691,
+        -704.236632362596,
+        -711.9159018973761,
+        -719.7126245974415,
+        -727.542121219586,
+        -735.3027357008143,
+        -742.9416094893024,
+        -750.428522722397,
+        -757.7408431515522,
+        -764.8570616824826,
+        -771.7545911955489,
+        -778.4093814346955,
+        -784.7962131006786,
+        -790.889192424944,
+        -796.6622617232772,
+        -802.0896638501416,
+        -807.1463460001653,
+        -811.8083049803042,
+        -816.0528807659855,
+        -819.8590055571292,
+        -823.2074146502497,
+        -826.0808243155245,
+        -828.4640808503875,
+        -830.3442841461494,
+        -831.7108884396912,
+        -832.5557823976036,
+        -832.8733502657888,
+        -832.6605154900844,
+        -831.9167679552634,
+        -830.6441757875107,
+        -828.8473825090574,
+        -826.5335902150391,
+        -823.7125293554061,
+        -820.3964156434857,
+        -816.5998945731133,
+        -812.339974004277,
+        -807.6359452697,
+        -803.6687681229525,
+        -800.3830645814046,
+        -797.8204821486315,
+        -795.8888454950138,
+        -792.4067871290589,
+        -787.8858986652376,
+        -783.2265133071692,
+        -779.5931270301638,
+        -774.8136799183634,
+        -769.3387930135367,
+        -763.3903971325371,
+        -757.0793148060666,
+        -750.4656704917898,
+        -743.5875999505151,
+        -736.474669079281,
+        -729.154018330338,
+        -721.6530549887498,
+        -714.6102989413316,
+        -707.1448776529566,
+        -699.436532912186,
+        -691.5877187072829,
+        -683.662374534164,
+        -675.7070610646078,
+        -667.8926172821999,
+        -659.983750825291,
+        -652.1291322676122,
+        -644.220891121342,
+        -636.3416659120466,
+        -628.554747768005,
+        -620.9053411689332,
+        -613.4298271619257,
+        -606.1611733858945,
+        -599.1312167490161,
+        -592.371351189932,
+        -585.9125363464226,
+        -579.0095440131242,
+        -571.6437960532166,
+        -565.0158464440308,
+        -558.9165834687144,
+        -553.2759088004564,
+        -548.0731853478787,
+        -543.3089172266318,
+        -538.9936109413235,
+        -535.1423435112599,
+        -531.7717566017964,
+        -527.6083261983031,
+        -524.3506522086197,
+        -521.7960524398673,
+        -519.3558275643817,
+        -517.6446103657902,
+        -516.5636054018645,
+        -516.06720439501,
+        -516.1343440223802,
+        -516.7548538094968,
+        -516.4569138294186,
+        -515.2762803180644,
+        -515.5242803860402,
+        -516.714997293069,
+        -518.6174197339051,
+        -521.1181934787703,
+        -524.1584289086594,
+        -527.7041932567051,
+        -530.3254206798572,
+        -533.9179309380582,
+        -538.2010817168573,
+        -543.0307819959728,
+        -547.0097717102035,
+        -551.9025974814014,
+        -557.4218310744673,
+        -563.4167387756543,
+        -569.8025448320317,
+        -575.4906767868201,
+        -581.8940389162324,
+        -588.7705097117081,
+        -595.9871741218587,
+        -603.4650292753356,
+        -611.1501474611366,
+        -618.4101098004846,
+        -626.0813933989972,
+        -633.9926591357199,
+        -642.0416981347769,
+        -649.8422793989789,
+        -657.8691897645617,
+        -665.9918881666032,
+        -674.1264223601419,
+        -682.2153549685531,
+        -690.2137612162721,
+        -698.2735551093143,
+        -706.4381991396228,
+        -714.654147058724,
+        -722.8132291329885,
+        -730.8451257564353,
+        -738.7085540873111,
+        -746.3743823918287,
+        -753.8169509189453,
+        -761.0105009970029,
+        -767.9281137594392,
+        -774.5417347744632,
+        -780.8226054740483,
+        -786.7418040687768,
+        -792.2707767555593,
+        -797.381817853189,
+        -802.0484892952672,
+        -806.2459816718291,
+        -809.9514225262205,
+        -813.1441379887035,
+        -815.805873170403,
+        -817.9209758644042,
+        -819.4765472851975,
+        -820.4625628961119,
+        -820.8719658270674,
+        -820.7007349517964,
+        -819.9479293526915,
+        -818.6157106340966,
+        -816.7093443368286,
+        -814.2371815469276,
+        -812.5571582213843,
+        -811.6668554865496,
+        -811.6120677647805,
+        -809.9163417676446,
+        -807.1697776222213,
+        -805.46561376912,
+        -802.5504037146876,
+        -798.8145632081287,
+        -794.4559634604825,
+        -790.1278512437996,
+        -785.1446458789874,
+        -781.0654933129664,
+        -776.0309549657846,
+        -770.3432074976117,
+        -764.163582773506,
+        -757.5833404840953,
+        -750.660408063276,
+        -743.4377202493449,
+        -735.9522301090558,
+        -728.2392289667769,
+        -720.3343154885696,
+        -712.274193720204,
+        -704.0968931883996,
+        -695.8417077808895,
+        -687.5490009772586,
+        -679.2599503876515,
+        -671.0322465764625,
+        -662.7927172420484,
+        -654.5256254998791,
+        -646.2325466648222,
+        -637.9756517221433,
+        -629.786178880221,
+        -621.7244552667164,
+        -613.8400544738764,
+        -606.1734391697694,
+        -598.7607449554446,
+        -591.4240283262236,
+        -584.4369430600839,
+        -577.0286031353846,
+        -570.163050069239,
+        -563.7675666576417,
+        -557.824644619155,
+        -552.3381542332143,
+        -547.3217390267728,
+        -541.6456596823797,
+        -536.7632602418221,
+        -532.5374732911323,
+        -528.9117321097372,
+        -525.865165821049,
+        -523.3936867701159,
+        -521.5008288684037,
+        -518.7751365060739,
+        -515.2092880892683,
+        -512.9760815519212,
+        -511.68332236408435,
+        -511.1468013958778,
+        -511.2768518363388,
+        -512.0283169467286,
+        -513.3770942757719,
+        -515.3083985490662,
+        -517.8106664239124,
+        -520.8723543517153,
+        -524.480272579164,
+        -528.6187494265059,
+        -533.2692494020821,
+        -537.1699556290935,
+        -541.9602634044902,
+        -547.4090467998578,
+        -552.1394312373811,
+        -556.1632858857836,
+        -559.402132749866,
+        -564.0663970692087,
+        -569.646757972737,
+        -575.8526351968933,
+        -582.5250772047291,
+        -589.5724398684351,
+        -596.9356152181924,
+        -604.570242278678,
+        -612.437815219384,
+        -620.5013726907946,
+        -628.7235276597722,
+        -637.0656824475158,
+        -645.4878366924495,
+        -653.9486866135027,
+        -662.4058630603593,
+        -670.8162317791778,
+        -679.136217698577,
+        -687.3221342726582,
+        -695.3305084663398,
+        -703.1183966559811,
+        -711.1362072159168,
+        -719.4357204078274,
+        -727.9937050180135,
+        -736.7003093229631,
+        -745.4276832647273,
+        -754.1040727948182,
+        -762.6850081249985,
+        -771.1371035153809,
+        -779.4301881898666,
+        -787.533935329434,
+        -795.4167216792698,
+        -803.0455247687296,
+        -810.3862655040907,
+        -817.4043142813682,
+        -824.0650321135888,
+        -830.3342915387238,
+        -836.1789559768226,
+        -841.5673112845013,
+        -846.4694495691191,
+        -850.8576076788227,
+        -854.7064634224541,
+        -857.9933925173837,
+        -860.6986889647244,
+        -862.805751200058,
+        -864.3012360377031,
+        -865.1751821419173,
+        -865.4211045234919,
+        -865.0360613718667,
+        -864.0206943859829,
+        -862.3792436562526,
+        -860.1195380704116,
+        -857.252962163261,
+        -853.7944003006236,
+        -849.7621590778172,
+        -845.177868819499,
+        -840.0663650880833,
+        -834.4555511395082,
+        -828.3762423055917,
+        -821.8619933294008,
+        -814.9489097320115,
+        -807.6754443439333,
+        -800.0821801906895,
+        -792.9026523585296,
+        -785.8470581952487,
+        -779.2056263975119,
+        -773.0797830225988,
+        -767.4209971636061,
+        -762.2169525072811,
+        -757.47142776201,
+        -753.1966458685531,
+        -749.4097052337254,
+        -744.649297325303,
+        -738.9036850796799,
+        -732.4040778488213,
+        -725.3981346998926,
+        -718.0199665167229,
+        -710.345852901854,
+        -702.4245959611576,
+        -694.2932263533197,
+        -685.9848885791789,
+        -677.5326253575547,
+        -668.9710347240673,
+        -660.3368380536275,
+        -651.6689010190694,
+        -643.0079880680087,
+        -634.3963943291478,
+        -625.8775280183249,
+        -617.4954800227769,
+        -609.2945988253398,
+        -601.3190796113544,
+        -593.6125717754,
+        -586.2178067929091,
+        -579.1762473577317,
+        -572.5277582093793,
+        -566.3102988800872,
+        -560.5596385305462,
+        -555.3090930389928,
+        -550.589284524347,
+        -546.4279235022124,
+        -542.8496138842589,
+        -539.8756810328322,
+        -537.524023072022,
+        -535.8089856334839,
+        -534.7412601802744,
+        -534.3278060054765,
+        -533.1795587222002,
+        -531.2629072954319,
+        -528.5184865262574,
+        -524.9789077875084,
+        -520.8424796735414,
+        -516.2076357941687,
+        -511.12418766097886,
+        -507.3529495215213,
+        -504.825308915961,
+        -503.199482038124,
+        -502.3063009999066,
+        -502.06567294970444,
+        -502.43976008694204,
+        -503.41116196257786,
+        -503.2834092667004,
+        -504.20330502228904,
+        -505.94257485341353,
+        -508.3814276713714,
+        -511.45329925692624,
+        -515.1175547584215,
+        -519.3454511518772,
+        -524.1127268497725,
+        -529.3956750330708,
+        -535.1691049063285,
+        -541.4053419816237,
+        -548.073804904919,
+        -555.140904365797,
+        -562.5701236003927,
+        -570.3222027475979,
+        -578.3553838365917,
+        -586.6256921101108,
+        -595.0872397261011,
+        -603.6925435082724,
+        -612.392851472111,
+        -621.1384745106486,
+        -629.8791205245764,
+        -638.4518846335286,
+        -646.8077485167669,
+        -654.9060866006128,
+        -662.7058764895048,
+        -670.1726927931788,
+        -677.2765215480138,
+        -684.4330895217312,
+        -691.3320348159461,
+        -697.7822507777457,
+        -703.7267966296898,
+        -710.0859961884055,
+        -716.8548876447878,
+        -722.8607669266347,
+        -729.3689109206621,
+        -735.7671843100403,
+        -741.7407695212091,
+        -748.2477380011062,
+        -754.6281788726092,
+        -760.7855595287217,
+        -767.1759135125719,
+        -773.6173509108743,
+        -779.8199295266793,
+        -786.0728439268482,
+        -792.2689321645978,
+        -798.3676978326728,
+        -804.3512187648489,
+        -810.0277443890787,
+        -815.7458104887787,
+        -821.3428191152152,
+        -826.8350976040059,
+        -832.1911220718353,
+        -837.4496115130402,
+        -842.5545230192761,
+        -847.5821063713238,
+        -852.4695497016916,
+        -857.157640675563,
+        -861.6710210929359,
+        -866.2609082712597,
+        -870.8510333647278,
+        -875.0112021416762,
+        -878.9913448631735,
+        -883.0993448400798,
+        -887.1352378971486,
+        -891.1601374197729,
+        -894.7289409459293,
+        -898.410007168389,
+        -901.703575394014,
+        -905.3646106564067,
+        -908.3609198654513,
+        -911.810545333811,
+        -914.5559841455243,
+        -917.8122537889087,
+        -920.3080738613079,
+        -923.0502579008098,
+        -926.0254052904899,
+        -928.8654870270534,
+        -931.2491363584769,
+        -933.6531120184093,
+        -935.7565273678067,
+        -938.1035806955895,
+        -940.1406514970188,
+        -942.104385555833,
+        -944.1131751522562,
+        -945.923867120889,
+        -947.5643860488767,
+        -949.0180769309202,
+        -950.6174698648051,
+        -952.0288121078734,
+        -953.3171795458877,
+        -954.4119340124931,
+        -955.584347631738,
+        -956.6464077260003,
+        -957.4757955321013,
+        -958.3073942926052,
+        -959.0546425409005,
+        -959.6250479479759,
+        -960.1213462902595,
+        -960.5489704453446,
+        -960.8416018337093,
+        -961.0518015553708,
+        -961.1445087978962,
+        -961.1430117701323,
+        -961.0387281882055,
+        -961.0406036999159,
+        -960.9378376154623,
+        -960.9350658863842,
+        -960.8315784689544,
+        -960.8306064720094,
+        -960.7283504719496,
+        -960.7262362497303,
+        -960.6255715484003,
+        -960.6276081319243,
+        -960.5231975607635,
+        -960.5179632458734,
+        -960.414945098531,
+        -960.414800602822,
+        -960.3103596825375,
+        -960.3101144444283,
+        -960.2109287216429,
+        -960.2111860625687,
+        -960.1077094889656,
+        -960.1050543153701,
+        -960.0007184697736,
+        -959.9973696542643,
+        -959.892994983946,
+        -959.8877463460976,
+        -959.7833029779638,
+        -959.7790310918632,
+        -959.6745365424963,
+        -959.6702734951393,
+        -959.5657291965235,
+        -959.5631233641577,
+        -959.4585571937287,
+        -959.460497241136,
+        -959.3632109382604,
+        -959.3646845188707,
+        -959.2607603386462,
+        -959.2629155532982,
+        -959.1667775425088,
+        -959.1691141458116,
+        -959.0663722636995,
+        -959.0687809717008,
+        -958.9683258594487,
+        -958.9708440281283,
+        -958.869180978588,
+        -958.8707622168243,
+        -958.768017661402,
+        -958.7706756977857,
+        -958.6698107789975,
+        -958.6725663652517,
+        -958.5704518364998,
+        -958.5717535473755,
+        -958.4724798966183,
+        -958.4754074340738,
+        -958.3718824125649,
+        -958.3695456994311,
+        -958.2659863783438,
+        -958.2625796927263
+    ]
+}
\ No newline at end of file
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/etude_error.txt b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/etude_error.txt
new file mode 100644
index 0000000000000000000000000000000000000000..4dd26eedb518ec2b061f16424fc6017a57756852
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/etude_error.txt
@@ -0,0 +1,15 @@
+dimensions circuits:
+Simulation:
+	centre: x=1725, y=
+	sommet gauche: x=1632, y=-832
+	bas gauche: x=1565, y=-505
+	sommet droit: x=1855, y=-830
+	bas droit: x=1925, y=-512
+	droite droite: x=2040, y=-675
+	gauche gauche: x=1420 , y=-700
+
+	=> R/2 = -93, -160, 130, 200
+	=> R = 327, 318, 315, 305
+
+	Rmoy = 300
+	
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/game.py b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/game.py
new file mode 100644
index 0000000000000000000000000000000000000000..f66964acc146f0e1d300240de5044bb17b87c2fb
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/game.py
@@ -0,0 +1,206 @@
+import pygame
+from track import *
+from car_drawer import CarDrawer
+from car_model import Car
+from input_providers import *
+from car_data_display import CarDataDisplay
+from pygame.math import Vector2
+import json
+
+from shapely.geometry import Point
+from random import randint
+
+class Game:
+    def __init__(self, width, height):
+        pygame.init()
+        pygame.display.set_caption("Car model")
+        self.window_width = width
+        self.window_height = height
+        self.screen = pygame.display.set_mode((width, height))
+        self.fps = 1
+        self.background = Background('BlueCheckerPatternPaper.png', [-500, -500])
+
+        self.clock = pygame.time.Clock()
+        self.ticks = 20
+        self.exit = False
+        self.x, self.y = [], []
+        self.time = []
+
+    def run(self):
+
+        car = Car(self.window_width / 20, self.window_height / 20)
+        track = Track('track3.svg')
+        track_drawer = TrackDrawer(track)
+        car.position.x, car.position.y = track.full_path[0][0] / 10 - 1366 / 20, track.full_path[0][1] / 10 - 768 / 20
+        car_drawer = CarDrawer()
+        input_provider = JoystickInputProvider()
+        if not input_provider.joysticks:
+            input_provider = KeyboardInputProvider()
+        car_data_display = CarDataDisplay(car)
+        trace = [(car.position.x * 10 + 1366/2, car.position.y * 10 + 768/2) for _ in range(3)]
+
+        while not self.exit:
+            dt = self.clock.tick(self.fps) / 1000
+
+            # Event queue
+            for event in pygame.event.get():
+                if event.type == pygame.QUIT:
+                    self.exit = True
+
+            trace.pop(2)
+            trace.insert(0, (car.position.x * 10 + 1366/2, car.position.y * 10 + 768/2))
+
+            # User input
+            car_input = input_provider.get_input()
+            car.get_driver_input(car_input[0], car_input[1], car_input[2], car_input[3])
+            car.update(dt)
+
+            # Drawing
+            self.screen.fill((0, 0, 0))
+            track_drawer.draw(self.screen, car.position * 10, trace)
+            car_drawer.draw(self.screen, car)
+            car_data_display.display_data(self.screen)
+            pygame.display.flip()
+        pygame.quit()
+
+    def run_pid_controller(self, track_path, solution_path='solutionOpt.csv', dt=10):
+        car = Car(self.window_width / 20, self.window_height / 20, angle=90)
+        track = Track(track_path)
+        track_drawer = TrackDrawer(track)
+        solution = pd.read_csv(solution_path, index_col=0)
+        track.apply_deformations(list(solution.Deformation))
+        car.position.x, car.position.y = track.full_path[0][0] / 10 - 1366 / 20, track.full_path[0][1] / 10 - 768 / 20
+        car_drawer = CarDrawer()
+        car_data_display = CarDataDisplay(car, track)
+        input_provider = AutonomousDriver(solution)
+        time = 0
+        trace = [(car.position.x * 10 + 1366/2, car.position.y * 10 + 768/2) for _ in range(3)]
+        last_u = -1
+        while not self.exit:
+            """fps perturbation"""
+            fps = 20
+            u_dt = 1/fps
+            
+            # Handling time
+            self.clock.tick(1 / dt)
+            time += dt
+
+            # Event queue
+            for event in pygame.event.get():
+                if event.type == pygame.QUIT:
+                    self.exit = True
+
+            # Input from solution file and PID controller
+            input_provider.index = track_drawer.chunk_indexes[-1] # Incrementing row index of solution matrix
+            car_input = input_provider.get_input(track.track_phase)
+            
+            turning=car_input[3]
+            
+            """perturbations"""
+            incert_turning = 0 #5°
+            turning += randint(-incert_turning, incert_turning)
+            
+            """limit turning"""
+            max_steering = 30
+            if turning<0:
+                turning = max(turning, -max_steering)
+            else:
+                turning= min(turning, max_steering)
+            
+            if abs(time-last_u)>u_dt:
+                last_u=time
+                car.get_driver_input(car_input[0], car_input[1], car_input[2], turning)
+            car.update(dt)
+
+            # Calculating position of a front center of a car
+            vector = Vector2(40, 0).rotate(-car.angle)
+            vector = np.array((vector.x + 1366 / 2, vector.y + 768 / 2))
+            front_center = Point(np.array((car.position.x * 10, car.position.y * 10)) + vector)
+
+
+            """perturbations"""
+            R_simu = 150
+            R_reel = 8
+            incert_reel = 0 #0.2m
+            incert_simu = incert_reel*R_simu/R_reel
+            
+            incert_simu = int(incert_simu)
+
+            error_x = randint(-incert_simu, incert_simu)
+            error_y = randint(-incert_simu, incert_simu)
+            error_point = Point(front_center.x+error_x, front_center.y+error_y)
+            
+            # Calculating line error as a distance from front center to a given line (path)
+            i = 1# check if mid is past, if yes, track is on the left so we need to adapt
+            if track.is_starting or track.is_ending:
+                input_provider.line_error = track.mid_track-error_point.x
+            else:
+                if not track.is_right:
+                    i=-1
+                e = LineString(track.visible_path).distance(error_point)
+                #print(e)
+                if Polygon(track.visible_path).contains(error_point):
+                    input_provider.line_error = - i * e
+                else:
+                    input_provider.line_error = i * e
+                    
+            self.x.append(front_center.x)
+            self.y.append(front_center.y)
+            self.time.append(time)
+            
+            # Updating trace
+            trace.pop(2)
+            trace.insert(0, (car.position.x * 10 + 1366 / 2, car.position.y * 10 + 768 / 2))
+
+            # Drawing
+            self.screen.fill((0, 0, 0))
+            self.background.set_location([- car.position.x * 10, 768 - car.position.y * 10])
+            self.screen.blit(self.background.image, self.background.rect)
+            self.background.set_location([1200 - car.position.x * 10, 768 - car.position.y * 10])
+            self.screen.blit(self.background.image, self.background.rect)
+            self.background.set_location([2400 - car.position.x * 10, 768 - car.position.y * 10])
+            self.screen.blit(self.background.image, self.background.rect)
+            self.background.set_location([- car.position.x * 10, 768 + 1200 - car.position.y * 10])
+            self.screen.blit(self.background.image, self.background.rect)
+            self.background.set_location([1200 - car.position.x * 10, 768 + 1200 - car.position.y * 10])
+            self.screen.blit(self.background.image, self.background.rect)
+            self.background.set_location([2400 - car.position.x * 10, 768 + 1200 - car.position.y * 10])
+            self.screen.blit(self.background.image, self.background.rect)
+            self.background.set_location([- car.position.x * 10, 768 + 2400 - car.position.y * 10])
+            self.screen.blit(self.background.image, self.background.rect)
+            self.background.set_location([1200 - car.position.x * 10, 768 + 2400 - car.position.y * 10])
+            self.screen.blit(self.background.image, self.background.rect)
+            self.background.set_location([2400 - car.position.x * 10, 768 + 2400 - car.position.y * 10])
+            self.screen.blit(self.background.image, self.background.rect)
+            track_drawer.draw(self.screen, car.position * 10, trace)
+            car_drawer.draw(self.screen, car)
+            car_data_display.display_data(self.screen)
+            rect = pygame.Rect(front_center.x - car.position.x * 10, front_center.y - car.position.y * 10, 5, 5)
+            pygame.draw.rect(self.screen, (0, 0, 255), rect)
+            pygame.display.flip()
+            
+            #check if track is done
+            completed = track.max_y<front_center.y
+            if completed:
+                break
+            # Checking if car has passed finishing-line
+            if input_provider.index == len(track.track_chunks) - 1:
+                break
+            
+            
+        # Checking if car completed track
+        # completed = True
+        # for chunk in track.track_chunks:
+        #     if not chunk.is_active:
+        #         completed = False
+        #         break
+
+        print("Time:", time, "Completed:", completed)
+        data = {"time":self.time, "x":self.x, "y":self.y}
+        """saving data"""
+        """
+        with open('error.json', 'w') as outfile:
+            json.dump(data, outfile, indent=4)
+        print('SAVED')
+        """
+        pygame.quit()
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/input_providers.py b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/input_providers.py
new file mode 100644
index 0000000000000000000000000000000000000000..789de013229715b99d6e94fca1f65f4829439259
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/input_providers.py
@@ -0,0 +1,115 @@
+import pandas as pd
+import pygame
+from pid_controller import PidController
+
+
+class InputProvider:
+    def get_input(self):
+        pass
+
+
+class RecordedInputProvider(InputProvider):
+    def __init__(self, csv_path):
+        self.input_dataframe = pd.read_csv(csv_path, index_col=0)
+        self.index = self.input_dataframe.first_valid_index()
+
+    def get_input(self):
+        if self.index <= self.input_dataframe.last_valid_index():
+            throttle = self.input_dataframe.Throttle[self.index]
+            brakes = self.input_dataframe.Brakes[self.index]
+            steering = self.input_dataframe.Steering[self.index]
+            gear = self.input_dataframe.Gear[self.index]
+            self.index += 1
+            return throttle, gear, brakes, steering
+
+
+class JoystickInputProvider(InputProvider):
+    def __init__(self):
+        self.gear = 0
+        self.gear_timer = 0
+        self.clock = pygame.time.Clock()
+        self.joysticks = []
+        for i in range(pygame.joystick.get_count()):
+            self.joysticks.append(pygame.joystick.Joystick(i))
+            self.joysticks[-1].init()
+            print("Detected pad:", self.joysticks[-1].get_name())
+
+    def get_input(self):
+        self.gear_timer += self.clock.tick()
+        throttle = - self.joysticks[-1].get_axis(3)
+        steering = - self.joysticks[-1].get_axis(4) * 30
+        if self.joysticks[-1].get_axis(2) < - 0.5:
+            brakes = - self.joysticks[-1].get_axis(2) * 5000
+        else:
+            brakes = 0
+
+        if - self.joysticks[-1].get_axis(1) > 0.9 and self.gear < 6 and self.gear_timer > 300:
+            self.gear += 1
+            self.gear_timer = 0
+
+        elif - self.joysticks[-1].get_axis(1) < -0.9 and self.gear > -1 and self.gear_timer > 300:
+            self.gear -= 1
+            self.gear_timer = 0
+
+        return throttle, self.gear, brakes, steering
+
+
+class KeyboardInputProvider(InputProvider):
+    def __init__(self):
+        self.gear = 0
+        self.gear_timer = 0
+        self.clock = pygame.time.Clock()
+
+    def get_input(self):
+        steering = 0
+        self.gear_timer += self.clock.tick()
+
+        if pygame.key.get_pressed()[pygame.K_UP]:
+            throttle = 1
+        else:
+            throttle = 0
+
+        if pygame.key.get_pressed()[pygame.K_DOWN]:
+            brakes = 1
+        else:
+            brakes = 0
+
+        if pygame.key.get_pressed()[pygame.K_LEFT]:
+            steering = 20
+
+        if pygame.key.get_pressed()[pygame.K_RIGHT]:
+            steering = -20
+
+        if pygame.key.get_pressed()[pygame.K_q] and self.gear < 6 and self.gear_timer > 300:
+            self.gear += 1
+            self.gear_timer = 0
+
+        if pygame.key.get_pressed()[pygame.K_a] and self.gear > -1 and self.gear_timer > 300:
+            self.gear -= 1
+            self.gear_timer = 0
+
+        return throttle, self.gear, brakes, steering
+
+
+class AutonomousDriver(InputProvider):
+    def __init__(self, input_file=None):
+        self.input = input_file
+        self.index = self.input.first_valid_index()
+        self.pid_controller = PidController(0, 0, 0)
+        self.line_error = 0
+
+    def get_input(self,phase):
+        if phase=='Loop':
+            self.index=1#testing purposes
+        elif phase=='Beginning':
+            self.index=0
+        else:
+            self.index=2
+        self.pid_controller.p_gain = self.input.P[self.index]
+        self.pid_controller.i_gain = self.input.I[self.index]
+        self.pid_controller.d_gain = self.input.D[self.index]
+        throttle = self.input.Throttle[self.index]
+        gear = self.input.Gear[self.index]
+        brakes = self.input.Brakes[self.index]
+        
+        return throttle, gear, brakes, self.pid_controller.get_control(self.line_error)
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/direction.png b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/direction.png
new file mode 100644
index 0000000000000000000000000000000000000000..2c8b1ddbee5232fc060037563e0b005c22f38ee3
Binary files /dev/null and b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/direction.png differ
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorD_direction.json b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorD_direction.json
new file mode 100644
index 0000000000000000000000000000000000000000..4e8d2f4ebac98bdaf64990798ee58f3e8a837106
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorD_direction.json
@@ -0,0 +1,9614 @@
+{
+    "time": [
+        0.005555555555555556,
+        0.011111111111111112,
+        0.016666666666666666,
+        0.022222222222222223,
+        0.02777777777777778,
+        0.03333333333333333,
+        0.03888888888888889,
+        0.044444444444444446,
+        0.05,
+        0.05555555555555556,
+        0.061111111111111116,
+        0.06666666666666667,
+        0.07222222222222222,
+        0.07777777777777777,
+        0.08333333333333331,
+        0.08888888888888886,
+        0.09444444444444441,
+        0.09999999999999996,
+        0.10555555555555551,
+        0.11111111111111106,
+        0.11666666666666661,
+        0.12222222222222216,
+        0.1277777777777777,
+        0.13333333333333328,
+        0.13888888888888884,
+        0.1444444444444444,
+        0.14999999999999997,
+        0.15555555555555553,
+        0.1611111111111111,
+        0.16666666666666666,
+        0.17222222222222222,
+        0.17777777777777778,
+        0.18333333333333335,
+        0.1888888888888889,
+        0.19444444444444448,
+        0.20000000000000004,
+        0.2055555555555556,
+        0.21111111111111117,
+        0.21666666666666673,
+        0.2222222222222223,
+        0.22777777777777786,
+        0.23333333333333342,
+        0.23888888888888898,
+        0.24444444444444455,
+        0.2500000000000001,
+        0.25555555555555565,
+        0.2611111111111112,
+        0.2666666666666667,
+        0.27222222222222225,
+        0.2777777777777778,
+        0.2833333333333333,
+        0.28888888888888886,
+        0.2944444444444444,
+        0.29999999999999993,
+        0.30555555555555547,
+        0.311111111111111,
+        0.31666666666666654,
+        0.3222222222222221,
+        0.3277777777777776,
+        0.33333333333333315,
+        0.3388888888888887,
+        0.3444444444444442,
+        0.34999999999999976,
+        0.3555555555555553,
+        0.3611111111111108,
+        0.36666666666666636,
+        0.3722222222222219,
+        0.37777777777777743,
+        0.38333333333333297,
+        0.3888888888888885,
+        0.39444444444444404,
+        0.3999999999999996,
+        0.4055555555555551,
+        0.41111111111111065,
+        0.4166666666666662,
+        0.4222222222222217,
+        0.42777777777777726,
+        0.4333333333333328,
+        0.43888888888888833,
+        0.44444444444444386,
+        0.4499999999999994,
+        0.45555555555555494,
+        0.46111111111111047,
+        0.466666666666666,
+        0.47222222222222154,
+        0.4777777777777771,
+        0.4833333333333326,
+        0.48888888888888815,
+        0.4944444444444437,
+        0.4999999999999992,
+        0.5055555555555548,
+        0.5111111111111103,
+        0.5166666666666658,
+        0.5222222222222214,
+        0.5277777777777769,
+        0.5333333333333324,
+        0.538888888888888,
+        0.5444444444444435,
+        0.549999999999999,
+        0.5555555555555546,
+        0.5611111111111101,
+        0.5666666666666657,
+        0.5722222222222212,
+        0.5777777777777767,
+        0.5833333333333323,
+        0.5888888888888878,
+        0.5944444444444433,
+        0.5999999999999989,
+        0.6055555555555544,
+        0.6111111111111099,
+        0.6166666666666655,
+        0.622222222222221,
+        0.6277777777777765,
+        0.6333333333333321,
+        0.6388888888888876,
+        0.6444444444444432,
+        0.6499999999999987,
+        0.6555555555555542,
+        0.6611111111111098,
+        0.6666666666666653,
+        0.6722222222222208,
+        0.6777777777777764,
+        0.6833333333333319,
+        0.6888888888888874,
+        0.694444444444443,
+        0.6999999999999985,
+        0.705555555555554,
+        0.7111111111111096,
+        0.7166666666666651,
+        0.7222222222222207,
+        0.7277777777777762,
+        0.7333333333333317,
+        0.7388888888888873,
+        0.7444444444444428,
+        0.7499999999999983,
+        0.7555555555555539,
+        0.7611111111111094,
+        0.7666666666666649,
+        0.7722222222222205,
+        0.777777777777776,
+        0.7833333333333315,
+        0.7888888888888871,
+        0.7944444444444426,
+        0.7999999999999982,
+        0.8055555555555537,
+        0.8111111111111092,
+        0.8166666666666648,
+        0.8222222222222203,
+        0.8277777777777758,
+        0.8333333333333314,
+        0.8388888888888869,
+        0.8444444444444424,
+        0.849999999999998,
+        0.8555555555555535,
+        0.861111111111109,
+        0.8666666666666646,
+        0.8722222222222201,
+        0.8777777777777757,
+        0.8833333333333312,
+        0.8888888888888867,
+        0.8944444444444423,
+        0.8999999999999978,
+        0.9055555555555533,
+        0.9111111111111089,
+        0.9166666666666644,
+        0.92222222222222,
+        0.9277777777777755,
+        0.933333333333331,
+        0.9388888888888866,
+        0.9444444444444421,
+        0.9499999999999976,
+        0.9555555555555532,
+        0.9611111111111087,
+        0.9666666666666642,
+        0.9722222222222198,
+        0.9777777777777753,
+        0.9833333333333308,
+        0.9888888888888864,
+        0.9944444444444419,
+        0.9999999999999974,
+        1.005555555555553,
+        1.0111111111111086,
+        1.0166666666666642,
+        1.0222222222222197,
+        1.0277777777777752,
+        1.0333333333333308,
+        1.0388888888888863,
+        1.0444444444444418,
+        1.0499999999999974,
+        1.055555555555553,
+        1.0611111111111085,
+        1.066666666666664,
+        1.0722222222222195,
+        1.077777777777775,
+        1.0833333333333306,
+        1.0888888888888861,
+        1.0944444444444417,
+        1.0999999999999972,
+        1.1055555555555527,
+        1.1111111111111083,
+        1.1166666666666638,
+        1.1222222222222193,
+        1.1277777777777749,
+        1.1333333333333304,
+        1.138888888888886,
+        1.1444444444444415,
+        1.149999999999997,
+        1.1555555555555526,
+        1.161111111111108,
+        1.1666666666666636,
+        1.1722222222222192,
+        1.1777777777777747,
+        1.1833333333333302,
+        1.1888888888888858,
+        1.1944444444444413,
+        1.1999999999999968,
+        1.2055555555555524,
+        1.211111111111108,
+        1.2166666666666635,
+        1.222222222222219,
+        1.2277777777777745,
+        1.23333333333333,
+        1.2388888888888856,
+        1.2444444444444411,
+        1.2499999999999967,
+        1.2555555555555522,
+        1.2611111111111077,
+        1.2666666666666633,
+        1.2722222222222188,
+        1.2777777777777743,
+        1.2833333333333299,
+        1.2888888888888854,
+        1.294444444444441,
+        1.2999999999999965,
+        1.305555555555552,
+        1.3111111111111076,
+        1.316666666666663,
+        1.3222222222222186,
+        1.3277777777777742,
+        1.3333333333333297,
+        1.3388888888888852,
+        1.3444444444444408,
+        1.3499999999999963,
+        1.3555555555555518,
+        1.3611111111111074,
+        1.366666666666663,
+        1.3722222222222185,
+        1.377777777777774,
+        1.3833333333333295,
+        1.388888888888885,
+        1.3944444444444406,
+        1.3999999999999961,
+        1.4055555555555517,
+        1.4111111111111072,
+        1.4166666666666627,
+        1.4222222222222183,
+        1.4277777777777738,
+        1.4333333333333294,
+        1.4388888888888849,
+        1.4444444444444404,
+        1.449999999999996,
+        1.4555555555555515,
+        1.461111111111107,
+        1.4666666666666626,
+        1.472222222222218,
+        1.4777777777777736,
+        1.4833333333333292,
+        1.4888888888888847,
+        1.4944444444444402,
+        1.4999999999999958,
+        1.5055555555555513,
+        1.5111111111111069,
+        1.5166666666666624,
+        1.522222222222218,
+        1.5277777777777735,
+        1.533333333333329,
+        1.5388888888888845,
+        1.54444444444444,
+        1.5499999999999956,
+        1.5555555555555511,
+        1.5611111111111067,
+        1.5666666666666622,
+        1.5722222222222177,
+        1.5777777777777733,
+        1.5833333333333288,
+        1.5888888888888844,
+        1.59444444444444,
+        1.5999999999999954,
+        1.605555555555551,
+        1.6111111111111065,
+        1.616666666666662,
+        1.6222222222222176,
+        1.627777777777773,
+        1.6333333333333286,
+        1.6388888888888842,
+        1.6444444444444397,
+        1.6499999999999952,
+        1.6555555555555508,
+        1.6611111111111063,
+        1.6666666666666619,
+        1.6722222222222174,
+        1.677777777777773,
+        1.6833333333333285,
+        1.688888888888884,
+        1.6944444444444395,
+        1.699999999999995,
+        1.7055555555555506,
+        1.7111111111111061,
+        1.7166666666666617,
+        1.7222222222222172,
+        1.7277777777777727,
+        1.7333333333333283,
+        1.7388888888888838,
+        1.7444444444444394,
+        1.749999999999995,
+        1.7555555555555504,
+        1.761111111111106,
+        1.7666666666666615,
+        1.772222222222217,
+        1.7777777777777726,
+        1.783333333333328,
+        1.7888888888888836,
+        1.7944444444444392,
+        1.7999999999999947,
+        1.8055555555555503,
+        1.8111111111111058,
+        1.8166666666666613,
+        1.8222222222222169,
+        1.8277777777777724,
+        1.833333333333328,
+        1.8388888888888835,
+        1.844444444444439,
+        1.8499999999999945,
+        1.85555555555555,
+        1.8611111111111056,
+        1.8666666666666611,
+        1.8722222222222167,
+        1.8777777777777722,
+        1.8833333333333278,
+        1.8888888888888833,
+        1.8944444444444388,
+        1.8999999999999944,
+        1.90555555555555,
+        1.9111111111111054,
+        1.916666666666661,
+        1.9222222222222165,
+        1.927777777777772,
+        1.9333333333333276,
+        1.938888888888883,
+        1.9444444444444386,
+        1.9499999999999942,
+        1.9555555555555497,
+        1.9611111111111053,
+        1.9666666666666608,
+        1.9722222222222163,
+        1.9777777777777719,
+        1.9833333333333274,
+        1.988888888888883,
+        1.9944444444444385,
+        1.999999999999994,
+        2.0055555555555498,
+        2.0111111111111053,
+        2.016666666666661,
+        2.0222222222222164,
+        2.027777777777772,
+        2.0333333333333274,
+        2.038888888888883,
+        2.0444444444444385,
+        2.049999999999994,
+        2.0555555555555496,
+        2.061111111111105,
+        2.0666666666666607,
+        2.072222222222216,
+        2.0777777777777717,
+        2.0833333333333273,
+        2.088888888888883,
+        2.0944444444444383,
+        2.099999999999994,
+        2.1055555555555494,
+        2.111111111111105,
+        2.1166666666666605,
+        2.122222222222216,
+        2.1277777777777716,
+        2.133333333333327,
+        2.1388888888888826,
+        2.144444444444438,
+        2.1499999999999937,
+        2.1555555555555492,
+        2.1611111111111048,
+        2.1666666666666603,
+        2.172222222222216,
+        2.1777777777777714,
+        2.183333333333327,
+        2.1888888888888824,
+        2.194444444444438,
+        2.1999999999999935,
+        2.205555555555549,
+        2.2111111111111046,
+        2.21666666666666,
+        2.2222222222222157,
+        2.227777777777771,
+        2.2333333333333267,
+        2.2388888888888823,
+        2.244444444444438,
+        2.2499999999999933,
+        2.255555555555549,
+        2.2611111111111044,
+        2.26666666666666,
+        2.2722222222222155,
+        2.277777777777771,
+        2.2833333333333266,
+        2.288888888888882,
+        2.2944444444444376,
+        2.299999999999993,
+        2.3055555555555487,
+        2.3111111111111042,
+        2.3166666666666598,
+        2.3222222222222153,
+        2.327777777777771,
+        2.3333333333333264,
+        2.338888888888882,
+        2.3444444444444374,
+        2.349999999999993,
+        2.3555555555555485,
+        2.361111111111104,
+        2.3666666666666596,
+        2.372222222222215,
+        2.3777777777777707,
+        2.383333333333326,
+        2.3888888888888817,
+        2.3944444444444373,
+        2.399999999999993,
+        2.4055555555555483,
+        2.411111111111104,
+        2.4166666666666594,
+        2.422222222222215,
+        2.4277777777777705,
+        2.433333333333326,
+        2.4388888888888816,
+        2.444444444444437,
+        2.4499999999999926,
+        2.455555555555548,
+        2.4611111111111037,
+        2.4666666666666592,
+        2.4722222222222148,
+        2.4777777777777703,
+        2.483333333333326,
+        2.4888888888888814,
+        2.494444444444437,
+        2.4999999999999925,
+        2.505555555555548,
+        2.5111111111111035,
+        2.516666666666659,
+        2.5222222222222146,
+        2.52777777777777,
+        2.5333333333333257,
+        2.538888888888881,
+        2.5444444444444367,
+        2.5499999999999923,
+        2.555555555555548,
+        2.5611111111111033,
+        2.566666666666659,
+        2.5722222222222144,
+        2.57777777777777,
+        2.5833333333333255,
+        2.588888888888881,
+        2.5944444444444366,
+        2.599999999999992,
+        2.6055555555555476,
+        2.611111111111103,
+        2.6166666666666587,
+        2.6222222222222142,
+        2.6277777777777698,
+        2.6333333333333253,
+        2.638888888888881,
+        2.6444444444444364,
+        2.649999999999992,
+        2.6555555555555475,
+        2.661111111111103,
+        2.6666666666666585,
+        2.672222222222214,
+        2.6777777777777696,
+        2.683333333333325,
+        2.6888888888888807,
+        2.694444444444436,
+        2.6999999999999917,
+        2.7055555555555473,
+        2.711111111111103,
+        2.7166666666666583,
+        2.722222222222214,
+        2.7277777777777694,
+        2.733333333333325,
+        2.7388888888888805,
+        2.744444444444436,
+        2.7499999999999916,
+        2.755555555555547,
+        2.7611111111111026,
+        2.766666666666658,
+        2.7722222222222137,
+        2.7777777777777692,
+        2.7833333333333248,
+        2.7888888888888803,
+        2.794444444444436,
+        2.7999999999999914,
+        2.805555555555547,
+        2.8111111111111025,
+        2.816666666666658,
+        2.8222222222222135,
+        2.827777777777769,
+        2.8333333333333246,
+        2.83888888888888,
+        2.8444444444444357,
+        2.849999999999991,
+        2.8555555555555467,
+        2.8611111111111023,
+        2.866666666666658,
+        2.8722222222222134,
+        2.877777777777769,
+        2.8833333333333244,
+        2.88888888888888,
+        2.8944444444444355,
+        2.899999999999991,
+        2.9055555555555466,
+        2.911111111111102,
+        2.9166666666666576,
+        2.922222222222213,
+        2.9277777777777687,
+        2.9333333333333242,
+        2.93888888888888,
+        2.9444444444444353,
+        2.949999999999991,
+        2.9555555555555464,
+        2.961111111111102,
+        2.9666666666666575,
+        2.972222222222213,
+        2.9777777777777685,
+        2.983333333333324,
+        2.9888888888888796,
+        2.994444444444435,
+        2.9999999999999907,
+        3.005555555555546,
+        3.0111111111111017,
+        3.0166666666666573,
+        3.022222222222213,
+        3.0277777777777684,
+        3.033333333333324,
+        3.0388888888888794,
+        3.044444444444435,
+        3.0499999999999905,
+        3.055555555555546,
+        3.0611111111111016,
+        3.066666666666657,
+        3.0722222222222126,
+        3.077777777777768,
+        3.0833333333333237,
+        3.0888888888888792,
+        3.094444444444435,
+        3.0999999999999903,
+        3.105555555555546,
+        3.1111111111111014,
+        3.116666666666657,
+        3.1222222222222125,
+        3.127777777777768,
+        3.1333333333333235,
+        3.138888888888879,
+        3.1444444444444346,
+        3.14999999999999,
+        3.1555555555555457,
+        3.161111111111101,
+        3.1666666666666567,
+        3.1722222222222123,
+        3.177777777777768,
+        3.1833333333333234,
+        3.188888888888879,
+        3.1944444444444344,
+        3.19999999999999,
+        3.2055555555555455,
+        3.211111111111101,
+        3.2166666666666566,
+        3.222222222222212,
+        3.2277777777777676,
+        3.233333333333323,
+        3.2388888888888787,
+        3.2444444444444343,
+        3.24999999999999,
+        3.2555555555555453,
+        3.261111111111101,
+        3.2666666666666564,
+        3.272222222222212,
+        3.2777777777777675,
+        3.283333333333323,
+        3.2888888888888785,
+        3.294444444444434,
+        3.2999999999999896,
+        3.305555555555545,
+        3.3111111111111007,
+        3.316666666666656,
+        3.3222222222222118,
+        3.3277777777777673,
+        3.333333333333323,
+        3.3388888888888784,
+        3.344444444444434,
+        3.3499999999999894,
+        3.355555555555545,
+        3.3611111111111005,
+        3.366666666666656,
+        3.3722222222222116,
+        3.377777777777767,
+        3.3833333333333226,
+        3.388888888888878,
+        3.3944444444444337,
+        3.3999999999999893,
+        3.405555555555545,
+        3.4111111111111003,
+        3.416666666666656,
+        3.4222222222222114,
+        3.427777777777767,
+        3.4333333333333225,
+        3.438888888888878,
+        3.4444444444444335,
+        3.449999999999989,
+        3.4555555555555446,
+        3.4611111111111,
+        3.4666666666666557,
+        3.472222222222211,
+        3.4777777777777668,
+        3.4833333333333223,
+        3.488888888888878,
+        3.4944444444444334,
+        3.499999999999989,
+        3.5055555555555444,
+        3.5111111111111,
+        3.5166666666666555,
+        3.522222222222211,
+        3.5277777777777666,
+        3.533333333333322,
+        3.5388888888888776,
+        3.544444444444433,
+        3.5499999999999887,
+        3.5555555555555443,
+        3.5611111111111,
+        3.5666666666666553,
+        3.572222222222211,
+        3.5777777777777664,
+        3.583333333333322,
+        3.5888888888888775,
+        3.594444444444433,
+        3.5999999999999885,
+        3.605555555555544,
+        3.6111111111110996,
+        3.616666666666655,
+        3.6222222222222107,
+        3.627777777777766,
+        3.6333333333333218,
+        3.6388888888888773,
+        3.644444444444433,
+        3.6499999999999884,
+        3.655555555555544,
+        3.6611111111110994,
+        3.666666666666655,
+        3.6722222222222105,
+        3.677777777777766,
+        3.6833333333333216,
+        3.688888888888877,
+        3.6944444444444327,
+        3.699999999999988,
+        3.7055555555555437,
+        3.7111111111110993,
+        3.716666666666655,
+        3.7222222222222103,
+        3.727777777777766,
+        3.7333333333333214,
+        3.738888888888877,
+        3.7444444444444325,
+        3.749999999999988,
+        3.7555555555555435,
+        3.761111111111099,
+        3.7666666666666546,
+        3.77222222222221,
+        3.7777777777777657,
+        3.7833333333333212,
+        3.7888888888888768,
+        3.7944444444444323,
+        3.799999999999988,
+        3.8055555555555434,
+        3.811111111111099,
+        3.8166666666666544,
+        3.82222222222221,
+        3.8277777777777655,
+        3.833333333333321,
+        3.8388888888888766,
+        3.844444444444432,
+        3.8499999999999877,
+        3.855555555555543,
+        3.8611111111110987,
+        3.8666666666666543,
+        3.87222222222221,
+        3.8777777777777653,
+        3.883333333333321,
+        3.8888888888888764,
+        3.894444444444432,
+        3.8999999999999875,
+        3.905555555555543,
+        3.9111111111110985,
+        3.916666666666654,
+        3.9222222222222096,
+        3.927777777777765,
+        3.9333333333333207,
+        3.9388888888888762,
+        3.9444444444444318,
+        3.9499999999999873,
+        3.955555555555543,
+        3.9611111111110984,
+        3.966666666666654,
+        3.9722222222222094,
+        3.977777777777765,
+        3.9833333333333205,
+        3.988888888888876,
+        3.9944444444444316,
+        3.999999999999987,
+        4.005555555555543,
+        4.011111111111099,
+        4.016666666666654,
+        4.02222222222221,
+        4.027777777777765,
+        4.033333333333321,
+        4.038888888888876,
+        4.044444444444432,
+        4.049999999999987,
+        4.055555555555543,
+        4.0611111111110985,
+        4.066666666666654,
+        4.0722222222222095,
+        4.077777777777765,
+        4.083333333333321,
+        4.088888888888876,
+        4.094444444444432,
+        4.099999999999987,
+        4.105555555555543,
+        4.111111111111098,
+        4.116666666666654,
+        4.122222222222209,
+        4.127777777777765,
+        4.13333333333332,
+        4.138888888888876,
+        4.1444444444444315,
+        4.149999999999987,
+        4.155555555555543,
+        4.161111111111098,
+        4.166666666666654,
+        4.172222222222209,
+        4.177777777777765,
+        4.18333333333332,
+        4.188888888888876,
+        4.194444444444431,
+        4.199999999999987,
+        4.205555555555542,
+        4.211111111111098,
+        4.2166666666666535,
+        4.222222222222209,
+        4.2277777777777645,
+        4.23333333333332,
+        4.238888888888876,
+        4.244444444444431,
+        4.249999999999987,
+        4.255555555555542,
+        4.261111111111098,
+        4.266666666666653,
+        4.272222222222209,
+        4.277777777777764,
+        4.28333333333332,
+        4.288888888888875,
+        4.294444444444431,
+        4.2999999999999865,
+        4.305555555555542,
+        4.311111111111098,
+        4.316666666666653,
+        4.322222222222209,
+        4.327777777777764,
+        4.33333333333332,
+        4.338888888888875,
+        4.344444444444431,
+        4.349999999999986,
+        4.355555555555542,
+        4.361111111111097,
+        4.366666666666653,
+        4.3722222222222085,
+        4.377777777777764,
+        4.3833333333333195,
+        4.388888888888875,
+        4.394444444444431,
+        4.399999999999986,
+        4.405555555555542,
+        4.411111111111097,
+        4.416666666666653,
+        4.422222222222208,
+        4.427777777777764,
+        4.433333333333319,
+        4.438888888888875,
+        4.44444444444443,
+        4.449999999999986,
+        4.4555555555555415,
+        4.461111111111097,
+        4.466666666666653,
+        4.472222222222208,
+        4.477777777777764,
+        4.483333333333319,
+        4.488888888888875,
+        4.49444444444443,
+        4.499999999999986,
+        4.505555555555541,
+        4.511111111111097,
+        4.516666666666652,
+        4.522222222222208,
+        4.5277777777777635,
+        4.533333333333319,
+        4.5388888888888745,
+        4.54444444444443,
+        4.549999999999986,
+        4.555555555555541,
+        4.561111111111097,
+        4.566666666666652,
+        4.572222222222208,
+        4.577777777777763,
+        4.583333333333319,
+        4.588888888888874,
+        4.59444444444443,
+        4.599999999999985,
+        4.605555555555541,
+        4.6111111111110965,
+        4.616666666666652,
+        4.622222222222208,
+        4.627777777777763,
+        4.633333333333319,
+        4.638888888888874,
+        4.64444444444443,
+        4.649999999999985,
+        4.655555555555541,
+        4.661111111111096,
+        4.666666666666652,
+        4.672222222222207,
+        4.677777777777763,
+        4.6833333333333185,
+        4.688888888888874,
+        4.6944444444444295,
+        4.699999999999985,
+        4.705555555555541,
+        4.711111111111096,
+        4.716666666666652,
+        4.722222222222207,
+        4.727777777777763,
+        4.733333333333318,
+        4.738888888888874,
+        4.744444444444429,
+        4.749999999999985,
+        4.75555555555554,
+        4.761111111111096,
+        4.7666666666666515,
+        4.772222222222207,
+        4.777777777777763,
+        4.783333333333318,
+        4.788888888888874,
+        4.794444444444429,
+        4.799999999999985,
+        4.80555555555554,
+        4.811111111111096,
+        4.816666666666651,
+        4.822222222222207,
+        4.827777777777762,
+        4.833333333333318,
+        4.8388888888888735,
+        4.844444444444429,
+        4.8499999999999845,
+        4.85555555555554,
+        4.861111111111096,
+        4.866666666666651,
+        4.872222222222207,
+        4.877777777777762,
+        4.883333333333318,
+        4.888888888888873,
+        4.894444444444429,
+        4.899999999999984,
+        4.90555555555554,
+        4.911111111111095,
+        4.916666666666651,
+        4.9222222222222065,
+        4.927777777777762,
+        4.933333333333318,
+        4.938888888888873,
+        4.944444444444429,
+        4.949999999999984,
+        4.95555555555554,
+        4.961111111111095,
+        4.966666666666651,
+        4.972222222222206,
+        4.977777777777762,
+        4.983333333333317,
+        4.988888888888873,
+        4.9944444444444285,
+        4.999999999999984,
+        5.0055555555555395,
+        5.011111111111095,
+        5.016666666666651,
+        5.022222222222206,
+        5.027777777777762,
+        5.033333333333317,
+        5.038888888888873,
+        5.044444444444428,
+        5.049999999999984,
+        5.055555555555539,
+        5.061111111111095,
+        5.06666666666665,
+        5.072222222222206,
+        5.0777777777777615,
+        5.083333333333317,
+        5.088888888888873,
+        5.094444444444428,
+        5.099999999999984,
+        5.105555555555539,
+        5.111111111111095,
+        5.11666666666665,
+        5.122222222222206,
+        5.127777777777761,
+        5.133333333333317,
+        5.138888888888872,
+        5.144444444444428,
+        5.1499999999999835,
+        5.155555555555539,
+        5.1611111111110946,
+        5.16666666666665,
+        5.172222222222206,
+        5.177777777777761,
+        5.183333333333317,
+        5.188888888888872,
+        5.194444444444428,
+        5.199999999999983,
+        5.205555555555539,
+        5.211111111111094,
+        5.21666666666665,
+        5.2222222222222054,
+        5.227777777777761,
+        5.2333333333333165,
+        5.238888888888872,
+        5.244444444444428,
+        5.249999999999983,
+        5.255555555555539,
+        5.261111111111094,
+        5.26666666666665,
+        5.272222222222205,
+        5.277777777777761,
+        5.283333333333316,
+        5.288888888888872,
+        5.294444444444427,
+        5.299999999999983,
+        5.3055555555555385,
+        5.311111111111094,
+        5.3166666666666496,
+        5.322222222222205,
+        5.327777777777761,
+        5.333333333333316,
+        5.338888888888872,
+        5.344444444444427,
+        5.349999999999983,
+        5.355555555555538,
+        5.361111111111094,
+        5.366666666666649,
+        5.372222222222205,
+        5.3777777777777604,
+        5.383333333333316,
+        5.3888888888888715,
+        5.394444444444427,
+        5.399999999999983,
+        5.405555555555538,
+        5.411111111111094,
+        5.416666666666649,
+        5.422222222222205,
+        5.42777777777776,
+        5.433333333333316,
+        5.438888888888871,
+        5.444444444444427,
+        5.449999999999982,
+        5.455555555555538,
+        5.4611111111110935,
+        5.466666666666649,
+        5.472222222222205,
+        5.47777777777776,
+        5.483333333333316,
+        5.488888888888871,
+        5.494444444444427,
+        5.499999999999982,
+        5.505555555555538,
+        5.511111111111093,
+        5.516666666666649,
+        5.522222222222204,
+        5.52777777777776,
+        5.5333333333333155,
+        5.538888888888871,
+        5.5444444444444265,
+        5.549999999999982,
+        5.555555555555538,
+        5.561111111111093,
+        5.566666666666649,
+        5.572222222222204,
+        5.57777777777776,
+        5.583333333333315,
+        5.588888888888871,
+        5.594444444444426,
+        5.599999999999982,
+        5.605555555555537,
+        5.611111111111093,
+        5.6166666666666485,
+        5.622222222222204,
+        5.62777777777776,
+        5.633333333333315,
+        5.638888888888871,
+        5.644444444444426,
+        5.649999999999982,
+        5.655555555555537,
+        5.661111111111093,
+        5.666666666666648,
+        5.672222222222204,
+        5.677777777777759,
+        5.683333333333315,
+        5.6888888888888705,
+        5.694444444444426,
+        5.6999999999999815,
+        5.705555555555537,
+        5.711111111111093,
+        5.716666666666648,
+        5.722222222222204,
+        5.727777777777759,
+        5.733333333333315,
+        5.73888888888887,
+        5.744444444444426,
+        5.749999999999981,
+        5.755555555555537,
+        5.761111111111092,
+        5.766666666666648,
+        5.7722222222222035,
+        5.777777777777759,
+        5.783333333333315,
+        5.78888888888887,
+        5.794444444444426,
+        5.799999999999981,
+        5.805555555555537,
+        5.811111111111092,
+        5.816666666666648,
+        5.822222222222203,
+        5.827777777777759,
+        5.833333333333314,
+        5.83888888888887,
+        5.8444444444444255,
+        5.849999999999981,
+        5.8555555555555365,
+        5.861111111111092,
+        5.866666666666648,
+        5.872222222222203,
+        5.877777777777759,
+        5.883333333333314,
+        5.88888888888887,
+        5.894444444444425,
+        5.899999999999981,
+        5.905555555555536,
+        5.911111111111092,
+        5.916666666666647,
+        5.922222222222203,
+        5.9277777777777585,
+        5.933333333333314,
+        5.93888888888887,
+        5.944444444444425,
+        5.949999999999981,
+        5.955555555555536,
+        5.961111111111092,
+        5.966666666666647,
+        5.972222222222203,
+        5.977777777777758,
+        5.983333333333314,
+        5.988888888888869,
+        5.994444444444425,
+        5.9999999999999805,
+        6.005555555555536,
+        6.0111111111110915,
+        6.016666666666647,
+        6.022222222222203,
+        6.027777777777758,
+        6.033333333333314,
+        6.038888888888869,
+        6.044444444444425,
+        6.04999999999998,
+        6.055555555555536,
+        6.061111111111091,
+        6.066666666666647,
+        6.072222222222202,
+        6.077777777777758,
+        6.0833333333333135,
+        6.088888888888869,
+        6.094444444444425,
+        6.09999999999998,
+        6.105555555555536,
+        6.111111111111091,
+        6.116666666666647,
+        6.122222222222202,
+        6.127777777777758,
+        6.133333333333313,
+        6.138888888888869,
+        6.144444444444424,
+        6.14999999999998,
+        6.1555555555555355,
+        6.161111111111091,
+        6.1666666666666465,
+        6.172222222222202,
+        6.177777777777758,
+        6.183333333333313,
+        6.188888888888869,
+        6.194444444444424,
+        6.19999999999998,
+        6.205555555555535,
+        6.211111111111091,
+        6.216666666666646,
+        6.222222222222202,
+        6.227777777777757,
+        6.233333333333313,
+        6.2388888888888685,
+        6.244444444444424,
+        6.24999999999998,
+        6.255555555555535,
+        6.261111111111091,
+        6.266666666666646,
+        6.272222222222202,
+        6.277777777777757,
+        6.283333333333313,
+        6.288888888888868,
+        6.294444444444424,
+        6.299999999999979,
+        6.305555555555535,
+        6.3111111111110905,
+        6.316666666666646,
+        6.3222222222222015,
+        6.327777777777757,
+        6.333333333333313,
+        6.338888888888868,
+        6.344444444444424,
+        6.349999999999979,
+        6.355555555555535,
+        6.36111111111109,
+        6.366666666666646,
+        6.372222222222201,
+        6.377777777777757,
+        6.383333333333312,
+        6.388888888888868,
+        6.3944444444444235,
+        6.399999999999979,
+        6.405555555555535,
+        6.41111111111109,
+        6.416666666666646,
+        6.422222222222201,
+        6.427777777777757,
+        6.433333333333312,
+        6.438888888888868,
+        6.444444444444423,
+        6.449999999999979,
+        6.455555555555534,
+        6.46111111111109,
+        6.4666666666666455,
+        6.472222222222201,
+        6.4777777777777565,
+        6.483333333333312,
+        6.488888888888868,
+        6.494444444444423,
+        6.499999999999979,
+        6.505555555555534,
+        6.51111111111109,
+        6.516666666666645,
+        6.522222222222201,
+        6.527777777777756,
+        6.533333333333312,
+        6.538888888888867,
+        6.544444444444423,
+        6.5499999999999785,
+        6.555555555555534,
+        6.56111111111109,
+        6.566666666666645,
+        6.572222222222201,
+        6.577777777777756,
+        6.583333333333312,
+        6.588888888888867,
+        6.594444444444423,
+        6.599999999999978,
+        6.605555555555534,
+        6.611111111111089,
+        6.616666666666645,
+        6.6222222222222005,
+        6.627777777777756,
+        6.6333333333333115,
+        6.638888888888867,
+        6.644444444444423,
+        6.649999999999978,
+        6.655555555555534,
+        6.661111111111089,
+        6.666666666666645,
+        6.6722222222222,
+        6.677777777777756,
+        6.683333333333311,
+        6.688888888888867,
+        6.694444444444422,
+        6.699999999999978,
+        6.7055555555555335,
+        6.711111111111089,
+        6.716666666666645,
+        6.7222222222222,
+        6.727777777777756,
+        6.733333333333311,
+        6.738888888888867,
+        6.744444444444422,
+        6.749999999999978,
+        6.755555555555533,
+        6.761111111111089,
+        6.766666666666644,
+        6.7722222222222,
+        6.7777777777777555,
+        6.783333333333311,
+        6.7888888888888665,
+        6.794444444444422,
+        6.799999999999978,
+        6.805555555555533,
+        6.811111111111089,
+        6.816666666666644,
+        6.8222222222222,
+        6.827777777777755,
+        6.833333333333311,
+        6.838888888888866,
+        6.844444444444422,
+        6.849999999999977,
+        6.855555555555533,
+        6.8611111111110885,
+        6.866666666666644,
+        6.8722222222222,
+        6.877777777777755,
+        6.883333333333311,
+        6.888888888888866,
+        6.894444444444422,
+        6.899999999999977,
+        6.905555555555533,
+        6.911111111111088,
+        6.916666666666644,
+        6.922222222222199,
+        6.927777777777755,
+        6.9333333333333105,
+        6.938888888888866,
+        6.9444444444444215,
+        6.949999999999977,
+        6.955555555555533,
+        6.961111111111088,
+        6.966666666666644,
+        6.972222222222199,
+        6.977777777777755,
+        6.98333333333331,
+        6.988888888888866,
+        6.994444444444421,
+        6.999999999999977,
+        7.005555555555532,
+        7.011111111111088,
+        7.0166666666666435,
+        7.022222222222199,
+        7.027777777777755,
+        7.03333333333331,
+        7.038888888888866,
+        7.044444444444421,
+        7.049999999999977,
+        7.055555555555532,
+        7.061111111111088,
+        7.066666666666643,
+        7.072222222222199,
+        7.077777777777754,
+        7.08333333333331,
+        7.0888888888888655,
+        7.094444444444421,
+        7.0999999999999766,
+        7.105555555555532,
+        7.111111111111088,
+        7.116666666666643,
+        7.122222222222199,
+        7.127777777777754,
+        7.13333333333331,
+        7.138888888888865,
+        7.144444444444421,
+        7.149999999999976,
+        7.155555555555532,
+        7.1611111111110874,
+        7.166666666666643,
+        7.1722222222221985,
+        7.177777777777754,
+        7.18333333333331,
+        7.188888888888865,
+        7.194444444444421,
+        7.199999999999976,
+        7.205555555555532,
+        7.211111111111087,
+        7.216666666666643,
+        7.222222222222198,
+        7.227777777777754,
+        7.233333333333309,
+        7.238888888888865,
+        7.2444444444444205,
+        7.249999999999976,
+        7.2555555555555316,
+        7.261111111111087,
+        7.266666666666643,
+        7.272222222222198,
+        7.277777777777754,
+        7.283333333333309,
+        7.288888888888865,
+        7.29444444444442,
+        7.299999999999976,
+        7.305555555555531,
+        7.311111111111087,
+        7.3166666666666424,
+        7.322222222222198,
+        7.3277777777777535,
+        7.333333333333309,
+        7.338888888888865,
+        7.34444444444442,
+        7.349999999999976,
+        7.355555555555531,
+        7.361111111111087,
+        7.366666666666642,
+        7.372222222222198,
+        7.377777777777753,
+        7.383333333333309,
+        7.388888888888864,
+        7.39444444444442,
+        7.3999999999999755,
+        7.405555555555531,
+        7.411111111111087,
+        7.416666666666642,
+        7.422222222222198,
+        7.427777777777753,
+        7.433333333333309,
+        7.438888888888864,
+        7.44444444444442,
+        7.449999999999975,
+        7.455555555555531,
+        7.461111111111086,
+        7.466666666666642,
+        7.4722222222221975,
+        7.477777777777753,
+        7.4833333333333085,
+        7.488888888888864,
+        7.49444444444442,
+        7.499999999999975,
+        7.505555555555531,
+        7.511111111111086,
+        7.516666666666642,
+        7.522222222222197,
+        7.527777777777753,
+        7.533333333333308,
+        7.538888888888864,
+        7.544444444444419,
+        7.549999999999975,
+        7.5555555555555305,
+        7.561111111111086,
+        7.566666666666642,
+        7.572222222222197,
+        7.577777777777753,
+        7.583333333333308,
+        7.588888888888864,
+        7.594444444444419,
+        7.599999999999975,
+        7.60555555555553,
+        7.611111111111086,
+        7.616666666666641,
+        7.622222222222197,
+        7.6277777777777525,
+        7.633333333333308,
+        7.6388888888888635,
+        7.644444444444419,
+        7.649999999999975,
+        7.65555555555553,
+        7.661111111111086,
+        7.666666666666641,
+        7.672222222222197,
+        7.677777777777752,
+        7.683333333333308,
+        7.688888888888863,
+        7.694444444444419,
+        7.699999999999974,
+        7.70555555555553,
+        7.7111111111110855,
+        7.716666666666641,
+        7.722222222222197,
+        7.727777777777752,
+        7.733333333333308,
+        7.738888888888863,
+        7.744444444444419,
+        7.749999999999974,
+        7.75555555555553,
+        7.761111111111085,
+        7.766666666666641,
+        7.772222222222196,
+        7.777777777777752,
+        7.7833333333333075,
+        7.788888888888863,
+        7.7944444444444185,
+        7.799999999999974,
+        7.80555555555553,
+        7.811111111111085,
+        7.816666666666641,
+        7.822222222222196,
+        7.827777777777752,
+        7.833333333333307,
+        7.838888888888863,
+        7.844444444444418,
+        7.849999999999974,
+        7.855555555555529,
+        7.861111111111085,
+        7.8666666666666405,
+        7.872222222222196,
+        7.877777777777752,
+        7.883333333333307,
+        7.888888888888863,
+        7.894444444444418,
+        7.899999999999974,
+        7.905555555555529,
+        7.911111111111085,
+        7.91666666666664,
+        7.922222222222196,
+        7.927777777777751,
+        7.933333333333307,
+        7.9388888888888625,
+        7.944444444444418,
+        7.9499999999999735,
+        7.955555555555529,
+        7.961111111111085,
+        7.96666666666664,
+        7.972222222222196,
+        7.977777777777751,
+        7.983333333333307,
+        7.988888888888862,
+        7.994444444444418,
+        7.999999999999973,
+        8.00555555555553,
+        8.011111111111086,
+        8.016666666666643,
+        8.022222222222199,
+        8.027777777777755,
+        8.033333333333312,
+        8.038888888888868,
+        8.044444444444425,
+        8.049999999999981,
+        8.055555555555538,
+        8.061111111111094,
+        8.06666666666665,
+        8.072222222222207,
+        8.077777777777763,
+        8.08333333333332,
+        8.088888888888876,
+        8.094444444444433,
+        8.099999999999989,
+        8.105555555555545,
+        8.111111111111102,
+        8.116666666666658,
+        8.122222222222215,
+        8.127777777777771,
+        8.133333333333328,
+        8.138888888888884,
+        8.14444444444444,
+        8.149999999999997,
+        8.155555555555553,
+        8.16111111111111,
+        8.166666666666666,
+        8.172222222222222,
+        8.177777777777779,
+        8.183333333333335,
+        8.188888888888892,
+        8.194444444444448,
+        8.200000000000005,
+        8.205555555555561,
+        8.211111111111117,
+        8.216666666666674,
+        8.22222222222223,
+        8.227777777777787,
+        8.233333333333343,
+        8.2388888888889,
+        8.244444444444456,
+        8.250000000000012,
+        8.255555555555569,
+        8.261111111111125,
+        8.266666666666682,
+        8.272222222222238,
+        8.277777777777795,
+        8.283333333333351,
+        8.288888888888907,
+        8.294444444444464,
+        8.30000000000002,
+        8.305555555555577,
+        8.311111111111133,
+        8.31666666666669,
+        8.322222222222246,
+        8.327777777777802,
+        8.333333333333359,
+        8.338888888888915,
+        8.344444444444472,
+        8.350000000000028,
+        8.355555555555584,
+        8.361111111111141,
+        8.366666666666697,
+        8.372222222222254,
+        8.37777777777781,
+        8.383333333333367,
+        8.388888888888923,
+        8.39444444444448,
+        8.400000000000036,
+        8.405555555555592,
+        8.411111111111149,
+        8.416666666666705,
+        8.422222222222262,
+        8.427777777777818,
+        8.433333333333374,
+        8.43888888888893,
+        8.444444444444487,
+        8.450000000000044,
+        8.4555555555556,
+        8.461111111111157,
+        8.466666666666713,
+        8.47222222222227,
+        8.477777777777826,
+        8.483333333333382,
+        8.488888888888939,
+        8.494444444444495,
+        8.500000000000052,
+        8.505555555555608,
+        8.511111111111164,
+        8.51666666666672,
+        8.522222222222277,
+        8.527777777777834,
+        8.53333333333339,
+        8.538888888888946,
+        8.544444444444503,
+        8.55000000000006,
+        8.555555555555616,
+        8.561111111111172,
+        8.566666666666729,
+        8.572222222222285,
+        8.577777777777841,
+        8.583333333333398,
+        8.588888888888954,
+        8.59444444444451,
+        8.600000000000067,
+        8.605555555555624,
+        8.61111111111118,
+        8.616666666666736,
+        8.622222222222293,
+        8.62777777777785,
+        8.633333333333406,
+        8.638888888888962,
+        8.644444444444519,
+        8.650000000000075,
+        8.655555555555631,
+        8.661111111111188,
+        8.666666666666744,
+        8.6722222222223,
+        8.677777777777857,
+        8.683333333333414,
+        8.68888888888897,
+        8.694444444444526,
+        8.700000000000083,
+        8.70555555555564,
+        8.711111111111196,
+        8.716666666666752,
+        8.722222222222308,
+        8.727777777777865,
+        8.733333333333421,
+        8.738888888888978,
+        8.744444444444534,
+        8.75000000000009,
+        8.755555555555647,
+        8.761111111111203,
+        8.76666666666676,
+        8.772222222222316,
+        8.777777777777873,
+        8.78333333333343,
+        8.788888888888986,
+        8.794444444444542,
+        8.800000000000098,
+        8.805555555555655,
+        8.811111111111211,
+        8.816666666666768,
+        8.822222222222324,
+        8.82777777777788,
+        8.833333333333437,
+        8.838888888888993,
+        8.84444444444455,
+        8.850000000000106,
+        8.855555555555663,
+        8.861111111111219,
+        8.866666666666775,
+        8.872222222222332,
+        8.877777777777888,
+        8.883333333333445,
+        8.888888888889001,
+        8.894444444444558,
+        8.900000000000114,
+        8.90555555555567,
+        8.911111111111227,
+        8.916666666666783,
+        8.92222222222234,
+        8.927777777777896,
+        8.933333333333453,
+        8.938888888889009,
+        8.944444444444565,
+        8.950000000000122,
+        8.955555555555678,
+        8.961111111111235,
+        8.966666666666791,
+        8.972222222222348,
+        8.977777777777904,
+        8.98333333333346,
+        8.988888888889017,
+        8.994444444444573,
+        9.00000000000013,
+        9.005555555555686,
+        9.011111111111243,
+        9.016666666666799,
+        9.022222222222355,
+        9.027777777777912,
+        9.033333333333468,
+        9.038888888889025,
+        9.044444444444581,
+        9.050000000000137,
+        9.055555555555694,
+        9.06111111111125,
+        9.066666666666807,
+        9.072222222222363,
+        9.07777777777792,
+        9.083333333333476,
+        9.088888888889032,
+        9.094444444444589,
+        9.100000000000145,
+        9.105555555555702,
+        9.111111111111258,
+        9.116666666666815,
+        9.122222222222371,
+        9.127777777777927,
+        9.133333333333484,
+        9.13888888888904,
+        9.144444444444597,
+        9.150000000000153,
+        9.15555555555571,
+        9.161111111111266,
+        9.166666666666822,
+        9.172222222222379,
+        9.177777777777935,
+        9.183333333333492,
+        9.188888888889048,
+        9.194444444444605,
+        9.200000000000161,
+        9.205555555555717,
+        9.211111111111274,
+        9.21666666666683,
+        9.222222222222387,
+        9.227777777777943,
+        9.2333333333335,
+        9.238888888889056,
+        9.244444444444612,
+        9.250000000000169,
+        9.255555555555725,
+        9.261111111111282,
+        9.266666666666838,
+        9.272222222222394,
+        9.27777777777795,
+        9.283333333333507,
+        9.288888888889064,
+        9.29444444444462,
+        9.300000000000177,
+        9.305555555555733,
+        9.31111111111129,
+        9.316666666666846,
+        9.322222222222402,
+        9.327777777777959,
+        9.333333333333515,
+        9.338888888889072,
+        9.344444444444628,
+        9.350000000000184,
+        9.35555555555574,
+        9.361111111111297,
+        9.366666666666854,
+        9.37222222222241,
+        9.377777777777967,
+        9.383333333333523,
+        9.38888888888908,
+        9.394444444444636,
+        9.400000000000192,
+        9.405555555555749,
+        9.411111111111305,
+        9.416666666666861,
+        9.422222222222418,
+        9.427777777777974,
+        9.43333333333353,
+        9.438888888889087,
+        9.444444444444644,
+        9.4500000000002,
+        9.455555555555756,
+        9.461111111111313,
+        9.46666666666687,
+        9.472222222222426,
+        9.477777777777982,
+        9.483333333333539,
+        9.488888888889095,
+        9.494444444444651,
+        9.500000000000208,
+        9.505555555555764,
+        9.51111111111132,
+        9.516666666666877,
+        9.522222222222434,
+        9.52777777777799,
+        9.533333333333546,
+        9.538888888889103,
+        9.54444444444466,
+        9.550000000000216,
+        9.555555555555772,
+        9.561111111111328,
+        9.566666666666885,
+        9.572222222222441,
+        9.577777777777998,
+        9.583333333333554,
+        9.58888888888911,
+        9.594444444444667,
+        9.600000000000223,
+        9.60555555555578,
+        9.611111111111336,
+        9.616666666666893,
+        9.62222222222245,
+        9.627777777778006,
+        9.633333333333562,
+        9.638888888889118,
+        9.644444444444675,
+        9.650000000000231,
+        9.655555555555788,
+        9.661111111111344,
+        9.6666666666669,
+        9.672222222222457,
+        9.677777777778013,
+        9.68333333333357,
+        9.688888888889126,
+        9.694444444444683,
+        9.700000000000239,
+        9.705555555555796,
+        9.711111111111352,
+        9.716666666666908,
+        9.722222222222465,
+        9.727777777778021,
+        9.733333333333578,
+        9.738888888889134,
+        9.74444444444469,
+        9.750000000000247,
+        9.755555555555803,
+        9.76111111111136,
+        9.766666666666916,
+        9.772222222222473,
+        9.777777777778029,
+        9.783333333333585,
+        9.788888888889142,
+        9.794444444444698,
+        9.800000000000255,
+        9.805555555555811,
+        9.811111111111368,
+        9.816666666666924,
+        9.82222222222248,
+        9.827777777778037,
+        9.833333333333593,
+        9.83888888888915,
+        9.844444444444706,
+        9.850000000000263,
+        9.855555555555819,
+        9.861111111111375,
+        9.866666666666932,
+        9.872222222222488,
+        9.877777777778045,
+        9.883333333333601,
+        9.888888888889158,
+        9.894444444444714,
+        9.90000000000027,
+        9.905555555555827,
+        9.911111111111383,
+        9.91666666666694,
+        9.922222222222496,
+        9.927777777778052,
+        9.933333333333609,
+        9.938888888889165,
+        9.944444444444722,
+        9.950000000000278,
+        9.955555555555835,
+        9.961111111111391,
+        9.966666666666947,
+        9.972222222222504,
+        9.97777777777806,
+        9.983333333333617,
+        9.988888888889173,
+        9.99444444444473,
+        10.000000000000286,
+        10.005555555555842,
+        10.011111111111399,
+        10.016666666666955,
+        10.022222222222512,
+        10.027777777778068,
+        10.033333333333625,
+        10.038888888889181,
+        10.044444444444737,
+        10.050000000000294,
+        10.05555555555585,
+        10.061111111111407,
+        10.066666666666963,
+        10.07222222222252,
+        10.077777777778076,
+        10.083333333333632,
+        10.088888888889189,
+        10.094444444444745,
+        10.100000000000302,
+        10.105555555555858,
+        10.111111111111414,
+        10.116666666666971,
+        10.122222222222527,
+        10.127777777778084,
+        10.13333333333364,
+        10.138888888889197,
+        10.144444444444753,
+        10.15000000000031,
+        10.155555555555866,
+        10.161111111111422,
+        10.166666666666979,
+        10.172222222222535,
+        10.177777777778092,
+        10.183333333333648,
+        10.188888888889204,
+        10.19444444444476,
+        10.200000000000317,
+        10.205555555555874,
+        10.21111111111143,
+        10.216666666666987,
+        10.222222222222543,
+        10.2277777777781,
+        10.233333333333656,
+        10.238888888889212,
+        10.244444444444769,
+        10.250000000000325,
+        10.255555555555881,
+        10.261111111111438,
+        10.266666666666994,
+        10.27222222222255,
+        10.277777777778107,
+        10.283333333333664,
+        10.28888888888922,
+        10.294444444444776,
+        10.300000000000333,
+        10.30555555555589,
+        10.311111111111446,
+        10.316666666667002,
+        10.322222222222559,
+        10.327777777778115,
+        10.333333333333671,
+        10.338888888889228,
+        10.344444444444784,
+        10.35000000000034,
+        10.355555555555897,
+        10.361111111111454,
+        10.36666666666701,
+        10.372222222222566,
+        10.377777777778123,
+        10.38333333333368,
+        10.388888888889236,
+        10.394444444444792,
+        10.400000000000349,
+        10.405555555555905,
+        10.411111111111461,
+        10.416666666667018,
+        10.422222222222574,
+        10.42777777777813,
+        10.433333333333687,
+        10.438888888889243,
+        10.4444444444448,
+        10.450000000000356,
+        10.455555555555913,
+        10.46111111111147,
+        10.466666666667026,
+        10.472222222222582,
+        10.477777777778138,
+        10.483333333333695,
+        10.488888888889251,
+        10.494444444444808,
+        10.500000000000364,
+        10.50555555555592,
+        10.511111111111477,
+        10.516666666667033,
+        10.52222222222259,
+        10.527777777778146,
+        10.533333333333703,
+        10.53888888888926,
+        10.544444444444816,
+        10.550000000000372,
+        10.555555555555928,
+        10.561111111111485,
+        10.566666666667041,
+        10.572222222222598,
+        10.577777777778154,
+        10.58333333333371,
+        10.588888888889267,
+        10.594444444444823,
+        10.60000000000038,
+        10.605555555555936,
+        10.611111111111493,
+        10.616666666667049,
+        10.622222222222605,
+        10.627777777778162,
+        10.633333333333718,
+        10.638888888889275,
+        10.644444444444831,
+        10.650000000000388,
+        10.655555555555944,
+        10.6611111111115,
+        10.666666666667057,
+        10.672222222222613,
+        10.67777777777817,
+        10.683333333333726,
+        10.688888888889283,
+        10.694444444444839,
+        10.700000000000395,
+        10.705555555555952,
+        10.711111111111508,
+        10.716666666667065,
+        10.722222222222621,
+        10.727777777778178,
+        10.733333333333734,
+        10.73888888888929,
+        10.744444444444847,
+        10.750000000000403,
+        10.75555555555596,
+        10.761111111111516,
+        10.766666666667073,
+        10.772222222222629,
+        10.777777777778185,
+        10.783333333333742,
+        10.788888888889298,
+        10.794444444444855,
+        10.800000000000411,
+        10.805555555555967,
+        10.811111111111524,
+        10.81666666666708,
+        10.822222222222637,
+        10.827777777778193,
+        10.83333333333375,
+        10.838888888889306,
+        10.844444444444862,
+        10.850000000000419,
+        10.855555555555975,
+        10.861111111111532,
+        10.866666666667088,
+        10.872222222222645,
+        10.877777777778201,
+        10.883333333333757,
+        10.888888888889314,
+        10.89444444444487,
+        10.900000000000427,
+        10.905555555555983,
+        10.91111111111154,
+        10.916666666667096,
+        10.922222222222652,
+        10.927777777778209,
+        10.933333333333765,
+        10.938888888889322,
+        10.944444444444878,
+        10.950000000000434,
+        10.955555555555991,
+        10.961111111111547,
+        10.966666666667104,
+        10.97222222222266,
+        10.977777777778217,
+        10.983333333333773,
+        10.98888888888933,
+        10.994444444444886,
+        11.000000000000442,
+        11.005555555555999,
+        11.011111111111555,
+        11.016666666667112,
+        11.022222222222668,
+        11.027777777778224,
+        11.03333333333378,
+        11.038888888889337,
+        11.044444444444894,
+        11.05000000000045,
+        11.055555555556007,
+        11.061111111111563,
+        11.06666666666712,
+        11.072222222222676,
+        11.077777777778232,
+        11.083333333333789,
+        11.088888888889345,
+        11.094444444444902,
+        11.100000000000458,
+        11.105555555556014,
+        11.11111111111157,
+        11.116666666667127,
+        11.122222222222684,
+        11.12777777777824,
+        11.133333333333796,
+        11.138888888889353,
+        11.14444444444491,
+        11.150000000000466,
+        11.155555555556022,
+        11.161111111111579,
+        11.166666666667135,
+        11.172222222222691,
+        11.177777777778248,
+        11.183333333333804,
+        11.18888888888936,
+        11.194444444444917,
+        11.200000000000474,
+        11.20555555555603,
+        11.211111111111586,
+        11.216666666667143,
+        11.2222222222227,
+        11.227777777778256,
+        11.233333333333812,
+        11.238888888889369,
+        11.244444444444925,
+        11.250000000000481,
+        11.255555555556038,
+        11.261111111111594,
+        11.26666666666715,
+        11.272222222222707,
+        11.277777777778264,
+        11.28333333333382,
+        11.288888888889376,
+        11.294444444444933,
+        11.30000000000049,
+        11.305555555556046,
+        11.311111111111602,
+        11.316666666667158,
+        11.322222222222715,
+        11.327777777778271,
+        11.333333333333828,
+        11.338888888889384,
+        11.34444444444494,
+        11.350000000000497,
+        11.355555555556053,
+        11.36111111111161,
+        11.366666666667166,
+        11.372222222222723,
+        11.37777777777828,
+        11.383333333333836,
+        11.388888888889392,
+        11.394444444444948,
+        11.400000000000505,
+        11.405555555556061,
+        11.411111111111618,
+        11.416666666667174,
+        11.42222222222273,
+        11.427777777778287,
+        11.433333333333843,
+        11.4388888888894,
+        11.444444444444956,
+        11.450000000000513,
+        11.455555555556069,
+        11.461111111111626,
+        11.466666666667182,
+        11.472222222222738,
+        11.477777777778295,
+        11.483333333333851,
+        11.488888888889408,
+        11.494444444444964,
+        11.50000000000052,
+        11.505555555556077,
+        11.511111111111633,
+        11.51666666666719,
+        11.522222222222746,
+        11.527777777778303,
+        11.533333333333859,
+        11.538888888889415,
+        11.544444444444972,
+        11.550000000000528,
+        11.555555555556085,
+        11.561111111111641,
+        11.566666666667198,
+        11.572222222222754,
+        11.57777777777831,
+        11.583333333333867,
+        11.588888888889423,
+        11.59444444444498,
+        11.600000000000536,
+        11.605555555556093,
+        11.611111111111649,
+        11.616666666667205,
+        11.622222222222762,
+        11.627777777778318,
+        11.633333333333875,
+        11.638888888889431,
+        11.644444444444987,
+        11.650000000000544,
+        11.6555555555561,
+        11.661111111111657,
+        11.666666666667213,
+        11.67222222222277,
+        11.677777777778326,
+        11.683333333333882,
+        11.688888888889439,
+        11.694444444444995,
+        11.700000000000552,
+        11.705555555556108,
+        11.711111111111665,
+        11.716666666667221,
+        11.722222222222777,
+        11.727777777778334,
+        11.73333333333389,
+        11.738888888889447,
+        11.744444444445003,
+        11.75000000000056,
+        11.755555555556116,
+        11.761111111111672,
+        11.766666666667229,
+        11.772222222222785,
+        11.777777777778342,
+        11.783333333333898,
+        11.788888888889455,
+        11.794444444445011,
+        11.800000000000567,
+        11.805555555556124,
+        11.81111111111168,
+        11.816666666667237,
+        11.822222222222793,
+        11.82777777777835,
+        11.833333333333906,
+        11.838888888889462,
+        11.844444444445019,
+        11.850000000000575,
+        11.855555555556132,
+        11.861111111111688,
+        11.866666666667244,
+        11.8722222222228,
+        11.877777777778357,
+        11.883333333333914,
+        11.88888888888947,
+        11.894444444445027,
+        11.900000000000583,
+        11.90555555555614,
+        11.911111111111696,
+        11.916666666667252,
+        11.922222222222809,
+        11.927777777778365,
+        11.933333333333922,
+        11.938888888889478,
+        11.944444444445034,
+        11.95000000000059,
+        11.955555555556147,
+        11.961111111111704,
+        11.96666666666726,
+        11.972222222222817,
+        11.977777777778373,
+        11.98333333333393,
+        11.988888888889486,
+        11.994444444445042,
+        12.000000000000599,
+        12.005555555556155,
+        12.011111111111711,
+        12.016666666667268,
+        12.022222222222824,
+        12.02777777777838,
+        12.033333333333937,
+        12.038888888889494,
+        12.04444444444505,
+        12.050000000000606,
+        12.055555555556163,
+        12.06111111111172,
+        12.066666666667276,
+        12.072222222222832,
+        12.077777777778389,
+        12.083333333333945,
+        12.088888888889501,
+        12.094444444445058,
+        12.100000000000614,
+        12.10555555555617,
+        12.111111111111727,
+        12.116666666667284,
+        12.12222222222284,
+        12.127777777778396,
+        12.133333333333953,
+        12.13888888888951,
+        12.144444444445066,
+        12.150000000000622,
+        12.155555555556179,
+        12.161111111111735,
+        12.166666666667291,
+        12.172222222222848,
+        12.177777777778404,
+        12.18333333333396,
+        12.188888888889517,
+        12.194444444445073,
+        12.20000000000063,
+        12.205555555556186,
+        12.211111111111743,
+        12.2166666666673,
+        12.222222222222856,
+        12.227777777778412,
+        12.233333333333968,
+        12.238888888889525,
+        12.244444444445081,
+        12.250000000000638,
+        12.255555555556194,
+        12.26111111111175,
+        12.266666666667307,
+        12.272222222222863,
+        12.27777777777842,
+        12.283333333333976,
+        12.288888888889533,
+        12.294444444445089,
+        12.300000000000646,
+        12.305555555556202,
+        12.311111111111758,
+        12.316666666667315,
+        12.322222222222871,
+        12.327777777778428,
+        12.333333333333984,
+        12.33888888888954,
+        12.344444444445097,
+        12.350000000000653,
+        12.35555555555621,
+        12.361111111111766,
+        12.366666666667323,
+        12.372222222222879,
+        12.377777777778435,
+        12.383333333333992,
+        12.388888888889548,
+        12.394444444445105,
+        12.400000000000661,
+        12.405555555556218,
+        12.411111111111774,
+        12.41666666666733,
+        12.422222222222887,
+        12.427777777778443,
+        12.433333333334,
+        12.438888888889556,
+        12.444444444445113,
+        12.450000000000669,
+        12.455555555556225,
+        12.461111111111782,
+        12.466666666667338,
+        12.472222222222895,
+        12.477777777778451,
+        12.483333333334008,
+        12.488888888889564,
+        12.49444444444512,
+        12.500000000000677,
+        12.505555555556233,
+        12.51111111111179,
+        12.516666666667346,
+        12.522222222222902,
+        12.527777777778459,
+        12.533333333334015,
+        12.538888888889572,
+        12.544444444445128,
+        12.550000000000685,
+        12.555555555556241,
+        12.561111111111797,
+        12.566666666667354,
+        12.57222222222291,
+        12.577777777778467,
+        12.583333333334023,
+        12.58888888888958,
+        12.594444444445136,
+        12.600000000000692,
+        12.605555555556249,
+        12.611111111111805,
+        12.616666666667362,
+        12.622222222222918,
+        12.627777777778475,
+        12.633333333334031,
+        12.638888888889587,
+        12.644444444445144,
+        12.6500000000007,
+        12.655555555556257,
+        12.661111111111813,
+        12.66666666666737,
+        12.672222222222926,
+        12.677777777778482,
+        12.683333333334039,
+        12.688888888889595,
+        12.694444444445152,
+        12.700000000000708,
+        12.705555555556264,
+        12.711111111111821,
+        12.716666666667377,
+        12.722222222222934,
+        12.72777777777849,
+        12.733333333334047,
+        12.738888888889603,
+        12.74444444444516,
+        12.750000000000716,
+        12.755555555556272,
+        12.761111111111829,
+        12.766666666667385,
+        12.772222222222942,
+        12.777777777778498,
+        12.783333333334054,
+        12.78888888888961,
+        12.794444444445167,
+        12.800000000000724,
+        12.80555555555628,
+        12.811111111111837,
+        12.816666666667393,
+        12.82222222222295,
+        12.827777777778506,
+        12.833333333334062,
+        12.838888888889619,
+        12.844444444445175,
+        12.850000000000732,
+        12.855555555556288,
+        12.861111111111844,
+        12.8666666666674,
+        12.872222222222957,
+        12.877777777778514,
+        12.88333333333407,
+        12.888888888889626,
+        12.894444444445183,
+        12.90000000000074,
+        12.905555555556296,
+        12.911111111111852,
+        12.916666666667409,
+        12.922222222222965,
+        12.927777777778521,
+        12.933333333334078,
+        12.938888888889634,
+        12.94444444444519,
+        12.950000000000747,
+        12.955555555556304,
+        12.96111111111186,
+        12.966666666667416,
+        12.972222222222973,
+        12.97777777777853,
+        12.983333333334086,
+        12.988888888889642,
+        12.994444444445199,
+        13.000000000000755,
+        13.005555555556311,
+        13.011111111111868,
+        13.016666666667424,
+        13.02222222222298,
+        13.027777777778537,
+        13.033333333334093,
+        13.03888888888965,
+        13.044444444445206,
+        13.050000000000763,
+        13.05555555555632,
+        13.061111111111876,
+        13.066666666667432,
+        13.072222222222988,
+        13.077777777778545,
+        13.083333333334101,
+        13.088888888889658,
+        13.094444444445214,
+        13.10000000000077,
+        13.105555555556327,
+        13.111111111111883,
+        13.11666666666744,
+        13.122222222222996,
+        13.127777777778553,
+        13.13333333333411,
+        13.138888888889666,
+        13.144444444445222,
+        13.150000000000778,
+        13.155555555556335,
+        13.161111111111891,
+        13.166666666667448,
+        13.172222222223004,
+        13.17777777777856,
+        13.183333333334117,
+        13.188888888889673,
+        13.19444444444523,
+        13.200000000000786,
+        13.205555555556343,
+        13.211111111111899,
+        13.216666666667455,
+        13.222222222223012,
+        13.227777777778568,
+        13.233333333334125,
+        13.238888888889681,
+        13.244444444445238,
+        13.250000000000794,
+        13.25555555555635,
+        13.261111111111907,
+        13.266666666667463,
+        13.27222222222302,
+        13.277777777778576,
+        13.283333333334133,
+        13.288888888889689,
+        13.294444444445245,
+        13.300000000000802,
+        13.305555555556358,
+        13.311111111111915,
+        13.316666666667471,
+        13.322222222223028,
+        13.327777777778584,
+        13.33333333333414,
+        13.338888888889697
+    ],
+    "x": [
+        606,
+        606,
+        606,
+        625.6961550602441,
+        625.7537668119028,
+        645.693108963372,
+        645.7507207150306,
+        665.5440319961984,
+        665.2381220107353,
+        684.4544035081848,
+        683.7817991020711,
+        702.4302844341681,
+        700.5552104609795,
+        717.9732036633076,
+        713.9378225881567,
+        730.0095041263485,
+        728.8007190977046,
+        745.7697191984829,
+        745.3814705488054,
+        759.15233132566,
+        760.4756621532608,
+        775.332671213159,
+        776.6560020407597,
+        787.9190790341557,
+        791.5188985503077,
+        801.8122464433357,
+        807.4916087512535,
+        817.1331353057152,
+        821.6337443749844,
+        834.7920871628937,
+        838.7770903890266,
+        851.1751280486735,
+        854.3200096181661,
+        866.0380245582214,
+        868.7068056249391,
+        877.2218826276363,
+        879.0075671231401,
+        885.3566154891523,
+        885.8479699896535,
+        897.6698449956655,
+        897.3194987166744,
+        907.9706064938665,
+        906.7089299723922,
+        916.4229717286805,
+        913.8762889632982,
+        919.8959352820191,
+        918.7147268752915,
+        926.076275169518,
+        920.4578417302447,
+        927.1229942943769,
+        926.6381816177436,
+        930.2516835951815,
+        930.7964154340988,
+        937.7438154634997,
+        936.6438495285535,
+        941.2167790168382,
+        939.772538829358,
+        942.2634981416971,
+        947.2646706976763,
+        948.4438380291961,
+        952.7774178140162,
+        950.1869528841493,
+        954.8679870793693,
+        956.6983159732924,
+        952.7774178140162,
+        959.1357028413954,
+        953.4754077480662,
+        965.3160427288943,
+        955.9127946161692,
+        966.3627618537532,
+        960.0710284325244,
+        971.8755089700932,
+        968.2057612940404,
+        980.6429319058747,
+        977.9019536989671,
+        991.8267899752896,
+        989.6576587448166,
+        1000.594212911071,
+        999.3538511497433,
+        1012.3499179569205,
+        1013.2470185589232,
+        1026.7367139636935,
+        1023.5477800571242,
+        1039.3231217846903,
+        1035.5840805201651,
+        1055.5034616721894,
+        1050.446977029713,
+        1070.3663581817373,
+        1067.027728480814,
+        1083.7489703089145,
+        1080.4103406079912,
+        1100.1320111946943,
+        1095.9532598371306,
+        1118.2581669354274,
+        1112.9142217602591,
+        1135.5786750111163,
+        1131.1851309131112,
+        1154.8039089298827,
+        1150.0955024250975,
+        1172.4628607870613,
+        1169.9464254579239,
+        1191.1344693170054,
+        1188.6180339878679,
+        1210.7670129859587,
+        1208.5084718952332,
+        1228.742893911942,
+        1227.634567014494,
+        1247.8689890312028,
+        1247.5858480196905,
+        1267.7594269385681,
+        1267.0732493153953,
+        1287.6103499713945,
+        1287.0702032185231,
+        1307.0162644969143,
+        1306.476117744043,
+        1326.8671875297407,
+        1326.476117744043,
+        1346.2731020552606,
+        1346.3665556514084,
+        1366.163539962626,
+        1365.8539569471131,
+        1385.726491977302,
+        1383.6740874308805,
+        1404.6368634892883,
+        1402.6952177567837,
+        1422.1292576320761,
+        1419.8385637708259,
+        1441.150387957979,
+        1438.859694096729,
+        1457.9237993168877,
+        1456.180202172418,
+        1471.306411444065,
+        1474.5902992414667,
+        1486.4006030485205,
+        1492.2492510986453,
+        1503.7211111242093,
+        1508.6322919844251,
+        1518.5840076337572,
+        1522.272259185675,
+        1530.3397126796067,
+        1533.1650398859756,
+        1543.9796798808566,
+        1548.0279363955235,
+        1554.2804413790577,
+        1560.8836885892542,
+        1568.6672373858307,
+        1569.6511115250357,
+        1581.2536452068275,
+        1580.8349695944507,
+        1591.8520304914916,
+        1590.2244008501686,
+        1599.3441623598098,
+        1595.7371479665087,
+        1602.8171259131484,
+        1604.5045709022902,
+        1608.9974658006474,
+        1610.0173180186302,
+        1611.4348526687504,
+        1612.4547048867332,
+        1617.9462157578935,
+        1618.9660679758763,
+        1619.341345232776,
+        1620.3611974507587,
+        1623.1575251403067,
+        1625.8739445670988,
+        1624.552654615189,
+        1627.9645138324518,
+        1622.4620853498361,
+        1626.5693843575693,
+        1616.949338233496,
+        1622.411150541214,
+        1614.511951365393,
+        1614.5965279714285,
+        1607.344592374487,
+        1611.8130659522271,
+        1603.1863585581318,
+        1607.3140448653498,
+        1595.0516256966157,
+        1598.861679630536,
+        1590.5526046097384,
+        1594.0232417185425,
+        1583.712201743225,
+        1585.8885088570264,
+        1573.4114402450239,
+        1575.5877473588253,
+        1560.0288281178466,
+        1562.205135231648,
+        1550.6393968621287,
+        1552.205135231648,
+        1538.052989041132,
+        1539.8919057251348,
+        1523.9108534174009,
+        1523.919195524189,
+        1507.3301019663,
+        1510.7980149443788,
+        1494.2089213864897,
+        1496.1709409119953,
+        1478.2362111855439,
+        1478.6785467692075,
+        1459.9653020326919,
+        1462.0977953181066,
+        1442.8219560186496,
+        1444.6054011753188,
+        1426.6416161311506,
+        1429.0624819461793,
+        1408.982664273972,
+        1411.9191359321371,
+        1390.0722927619856,
+        1393.648226779285,
+        1370.5848914662809,
+        1374.0156831103318,
+        1352.6090105402975,
+        1354.7904491915654,
+        1333.0460585256214,
+        1334.9000112842,
+        1313.0582419852394,
+        1315.0095733768346,
+        1293.085651290148,
+        1295.0217568364528,
+        1273.3318844782452,
+        1275.615842310933,
+        1253.3592937831538,
+        1255.7254044035676,
+        1233.5083707503275,
+        1235.7528137084762,
+        1214.283136831561,
+        1216.120270039523,
+        1194.4322137987347,
+        1197.710172970474,
+        1175.2069798799682,
+        1178.2227716747693,
+        1157.0808241392351,
+        1159.9518625219173,
+        1137.8555902204687,
+        1140.1980957100145,
+        1119.1839816905247,
+        1120.7921811844947,
+        1101.6915875477368,
+        1102.3820841154459,
+        1086.3706986853572,
+        1085.999043229666,
+        1069.0501906096683,
+        1071.612247222893,
+        1053.0774804087225,
+        1060.7194665225925,
+        1039.9562998289123,
+        1048.4062370160793,
+        1023.9835896279665,
+        1034.0194410093063,
+        1009.1206931184186,
+        1023.7186795111053,
+        997.6491643913977,
+        1011.6823790480644,
+        990.1570325230795,
+        998.0424118468144,
+        979.5586472384153,
+        986.2867068009649,
+        971.4239143768993,
+        978.1519739394489,
+        966.924893290022,
+        965.5655661184521,
+        959.1102707202366,
+        955.5655661184521,
+        954.9520369038814,
+        948.7251632519387,
+        946.1846139680998,
+        945.2521996986002,
+        940.3371798736451,
+        946.9953145535534,
+        937.2084905728406,
+        945.6001850786708,
+        936.5105006387905,
+        941.4419512623157,
+        932.3522668224354,
+        941.4419512623157,
+        930.6091519674821,
+        938.6584892431143,
+        931.3071419015322,
+        932.1471261539712,
+        927.148908085177,
+        928.6741626006326,
+        920.3085052186636,
+        922.8267285061779,
+        917.8711183505607,
+        919.010548598647,
+        913.7128845342055,
+        912.1701457321336,
+        905.2605192993915,
+        907.6711246452563,
+        894.0766612299766,
+        901.1597615561132,
+        885.9419283684606,
+        891.4635691511864,
+        876.2457359635339,
+        878.6078169574557,
+        863.3899837698032,
+        868.6078169574557,
+        854.6225608340216,
+        855.2252048302786,
+        842.0361530130248,
+        844.332424129978,
+        825.8558131255259,
+        829.7053500975945,
+        811.4690171187528,
+        813.3223092118147,
+        795.9260978896134,
+        800.2011286320046,
+        778.7827518755712,
+        784.2284184310588,
+        764.1556778431877,
+        765.9575092782068,
+        747.0123318291455,
+        748.4651151354188,
+        728.1019603171592,
+        732.7049000632844,
+        710.6095661743713,
+        715.7439381401559,
+        691.2910496485899,
+        697.2002610488202,
+        671.4401266157635,
+        677.7128597531155,
+        652.0342120902435,
+        657.7889657912806,
+        633.3626035602995,
+        638.3015644955759,
+        613.511680527473,
+        618.3015644955759,
+        593.7063191526416,
+        598.5477976836731,
+        573.8158812452762,
+        578.5599811432912,
+        553.8919872834413,
+        558.5873904481997,
+        534.3290352687652,
+        538.8912353879556,
+        514.3564445736737,
+        518.8942814848277,
+        495.230349454413,
+        499.2617378158744,
+        475.59780578545974,
+        480.5901292859304,
+        457.47165004472674,
+        463.62916736280187,
+        438.5612785327404,
+        444.50307224354117,
+        420.74114804897306,
+        426.23216309068914,
+        401.5159141302067,
+        409.2712011675606,
+        383.69578364643934,
+        391.0002920147086,
+        367.51544375894036,
+        374.2268806558001,
+        354.1328316317632,
+        359.84008464902706,
+        337.3594202728547,
+        343.8673744480812,
+        323.21728464912377,
+        331.55414494156804,
+        312.32450394882324,
+        316.4599533371126,
+        299.2033233690131,
+        302.8199861358627,
+        289.8138921132953,
+        291.92720543556214,
+        276.43127998611817,
+        285.08680256904876,
+        265.53849928581764,
+        275.390610164122,
+        259.0271361966745,
+        262.26942958431187,
+        250.57477096186054,
+        250.5137245384624,
+        244.72733686740582,
+        243.34636554755642,
+        241.5986475666012,
+        239.18813173120125,
+        236.0859004502612,
+        232.02077274029526,
+        226.08590045026122,
+        229.93020347494218,
+        219.24549758374786,
+        231.67331832989535,
+        215.42931767621695,
+        229.9302034749422,
+        214.73132774216694,
+        224.0827693804875,
+        216.47444259712012,
+        220.95408007968285,
+        222.65478248461906,
+        222.34920955456536,
+        227.15380357149638,
+        228.1966436490201,
+        235.28853643301238,
+        231.3253329498247,
+        238.41722573381702,
+        239.4600658113407,
+        245.2576286003304,
+        245.64040569883966,
+        256.44148666974536,
+        254.09277093365364,
+        263.28188953625875,
+        259.9402050281084,
+        273.28188953625875,
+        270.2409665263095,
+        285.0375945821082,
+        283.88093372755947,
+        292.5297264504265,
+        293.88093372755947,
+        302.8304879486276,
+        299.7283678220142,
+        315.14371745514075,
+        310.3267531066783,
+        330.2379090595962,
+        323.44793368648845,
+        346.41824894709515,
+        338.768822548868,
+        359.8008610742723,
+        355.72978447199654,
+        375.12174993665184,
+        370.82397607645197,
+        392.78070179383036,
+        388.4829279336305,
+        411.80183211973343,
+        407.70816185239687,
+        429.46078397691196,
+        425.5282923361642,
+        445.64112386441093,
+        441.7086322236632,
+        463.6170047903943,
+        460.3802407536072,
+        482.41085720611244,
+        479.7861552791271,
+        501.97380922078855,
+        499.63707831195353,
+        521.9738092207886,
+        519.1244796076583,
+        541.824732253615,
+        537.3953887605103,
+        561.7973229487066,
+        556.4165190864134,
+        581.687760856072,
+        575.903920382118,
+        601.6603515511636,
+        595.7548434149445,
+        621.0662660766835,
+        615.64528132231,
+        640.8200328885863,
+        634.8705152410764,
+        660.8078494289682,
+        652.6906457248438,
+        680.7317433908031,
+        671.2343228161795,
+        699.9569773095695,
+        690.7972748308556,
+        717.4493714523575,
+        709.8184051567587,
+        735.9930485436932,
+        726.9617511708009,
+        753.313556619382,
+        745.8721226827872,
+        768.4077482238374,
+        763.3645168255752,
+        785.7282562995262,
+        779.5448567130741,
+        800.5911528090741,
+        794.6390483175295,
+        818.083546951862,
+        812.6149292435128,
+        834.0562571528078,
+        829.5758911666413,
+        846.6426649738046,
+        844.4387876761892,
+        854.7773978353206,
+        856.7520171827024,
+        866.5331028811701,
+        865.8318271774933,
+        879.6542834609802,
+        877.0156852469082,
+        891.4099885068297,
+        883.8560881134216,
+        899.5447213683457,
+        894.1568496116226,
+        904.043742455223,
+        902.6092148464367,
+        913.4331737109408,
+        915.4649670401675,
+        919.2806078053954,
+        925.7657285383685,
+        927.4153406669114,
+        932.6061314048819,
+        933.9267037560546,
+        935.0435182729849,
+        936.0172730214077,
+        939.5425393598622,
+        943.1846320123137,
+        939.5425393598622,
+        947.683653099191,
+        942.3260013790635,
+        948.7303722240499,
+        948.1734354735182,
+        954.2431193403899,
+        950.6108223416212,
+        954.5921674691355,
+        949.5641032167623,
+        956.6827367344886,
+        950.2620931508123,
+        963.523139601002,
+        952.6994800189153,
+        965.2662544559552,
+        960.1916118872335,
+        969.4244882723103,
+        969.8878042921602,
+        978.1919112080918,
+        976.3991673813034,
+        988.7902964927559,
+        985.7885986370212,
+        997.8701064875469,
+        991.3013457533611,
+        1009.9064069505878,
+        999.1159683231466,
+        1025.0005985550433,
+        1008.8121607280733,
+        1037.3138280615565,
+        1019.9960187974882,
+        1053.074043133691,
+        1034.3828148042612,
+        1066.4566552608683,
+        1049.9257340334007,
+        1083.2300666197768,
+        1066.5064854845016,
+        1097.8571406521603,
+        1081.3693819940495,
+        1114.4378921032612,
+        1097.5497218815485,
+        1132.7088012561132,
+        1115.8206310344005,
+        1149.6697631792417,
+        1132.9639770484428,
+        1167.645644105225,
+        1151.6355855783868,
+        1186.7717392244858,
+        1171.1985375930628,
+        1206.6621771318512,
+        1189.8701461230069,
+        1225.8874110506176,
+        1209.0953800417733,
+        1245.8752275909997,
+        1228.9463030745997,
+        1265.100461509766,
+        1248.9463030745997,
+        1285.0517425149626,
+        1268.264819600381,
+        1304.9756364767975,
+        1288.1552575077465,
+        1324.6081801457508,
+        1308.106538512943,
+        1343.1518572370865,
+        1327.802693573187,
+        1362.5577717626063,
+        1346.9287886924478,
+        1382.5577717626063,
+        1366.9166052328296,
+        1401.8762882883877,
+        1386.4040065285344,
+        1419.1967963640766,
+        1405.3143780405208,
+        1437.4677055169286,
+        1422.0877893994293,
+        1454.9600996597164,
+        1440.497886468478,
+        1470.9328098606622,
+        1457.2712978273867,
+        1488.0761558747045,
+        1471.4134334511177,
+        1503.3970447370841,
+        1488.7339415268066,
+        1514.868573464105,
+        1504.4941565989411,
+        1529.2553694708781,
+        1519.1212306313246,
+        1540.7268981978991,
+        1530.5927593583456,
+        1555.1136942046721,
+        1545.6869509628011,
+        1567.1499946677131,
+        1559.0695630899784,
+        1574.6421265360314,
+        1570.2534211593934,
+        1585.2405118206955,
+        1579.0208440951749,
+        1594.007934756477,
+        1592.1420246749851,
+        1599.8553688509317,
+        1601.2218346697762,
+        1608.9351788457227,
+        1606.7345817861162,
+        1613.093412662078,
+        1607.4325717201662,
+        1612.7443645333324,
+        1612.2710096321596,
+        1615.1817514014353,
+        1612.2710096321596,
+        1619.6807724883126,
+        1615.054471651361,
+        1620.7274916131714,
+        1622.221830642267,
+        1618.2901047450684,
+        1626.0380105497977,
+        1621.0735667642698,
+        1624.6428810749153,
+        1619.3304519093167,
+        1619.8044431629219,
+        1613.8177047929767,
+        1616.6757538621173,
+        1603.5169432947755,
+        1609.835350995604,
+        1595.3822104332594,
+        1607.0518889764026,
+        1591.223976616904,
+        1601.8755080743522,
+        1582.7716113820902,
+        1595.0351052078388,
+        1571.5877533126752,
+        1585.338912802912,
+        1563.1353880778613,
+        1573.5832077570626,
+        1551.6638593508403,
+        1563.887015352136,
+        1538.54267877103,
+        1552.703157282721,
+        1522.5699685700843,
+        1539.063190081471,
+        1509.448787990274,
+        1522.2897787225625,
+        1493.4760777893282,
+        1507.662704690179,
+        1481.162848282815,
+        1496.478846620764,
+        1467.020712659084,
+        1482.8388794195141,
+        1450.439961207983,
+        1466.8661692185683,
+        1432.169052055131,
+        1448.7400134778352,
+        1413.2586805431447,
+        1432.7673032768894,
+        1393.4077575103183,
+        1414.6411475361563,
+        1374.497385998332,
+        1395.008603867203,
+        1354.8012309380879,
+        1375.7833699484365,
+        1335.4827144123064,
+        1356.0296031365338,
+        1315.510123717215,
+        1337.1192316245474,
+        1296.1042091916952,
+        1317.486687955594,
+        1276.3504423797924,
+        1297.5140972605027,
+        1256.399161374596,
+        1277.5415065654113,
+        1236.5087234672305,
+        1258.3162726466448,
+        1217.5983519552442,
+        1238.4653496138185,
+        1197.965808286291,
+        1218.5749117064531,
+        1179.9899273603075,
+        1198.5779578033253,
+        1160.5025260646028,
+        1179.0150057886492,
+        1141.8309175346587,
+        1161.1948753048819,
+        1125.2501660835578,
+        1141.8763587791004,
+        1107.1240103428247,
+        1123.7502030383673,
+        1091.5810911136853,
+        1106.7892411152388,
+        1074.8076797547767,
+        1092.4024451084658,
+        1061.4250676275994,
+        1076.8595258793264,
+        1045.664852555465,
+        1059.039395395559,
+        1032.024885354215,
+        1043.0666851946132,
+        1016.4819661250756,
+        1028.4396111622298,
+        1004.1687366185624,
+        1015.583858968499,
+        995.4013136827808,
+        1006.1944277127812,
+        983.9297849557599,
+        994.7228989857604,
+        975.1623620199783,
+        985.6430889909694,
+        968.6509989308352,
+        980.4667080889191,
+        959.5711889360442,
+        973.2993490980131,
+        954.7327510240509,
+        962.998587599812,
+        945.0365586191242,
+        956.8182477123131,
+        940.1981207071309,
+        952.3192266254358,
+        938.4550058521777,
+        945.8078635362926,
+        939.5017249770366,
+        943.0244015170913,
+        935.3434911606814,
+        944.0711206419502,
+        934.6455012266314,
+        943.0244015170913,
+        929.8070633146381,
+        938.525380430214,
+        927.716494049285,
+        937.1302509553315,
+        922.2037469329449,
+        930.6188878661883,
+        919.4202849137436,
+        929.2237583913058,
+        913.5728508192889,
+        922.7123953021626,
+        904.1834195635711,
+        912.7123953021626,
+        896.3687969937856,
+        905.8719924356492,
+        886.6726045888589,
+        900.6956115335988,
+        879.1804727205407,
+        893.5282525426928,
+        868.8797112223397,
+        882.056723815672,
+        856.8434107592988,
+        868.416756614422,
+        842.7012751355678,
+        857.2328985450071,
+        827.3803862731883,
+        842.846102538234,
+        813.4872188640084,
+        830.5328730317209,
+        796.5262569408799,
+        815.9057989993374,
+        782.8862897396299,
+        798.7624529852952,
+        766.3055382885291,
+        783.4415641229157,
+        748.034629135677,
+        770.585811929185,
+        728.5472278399724,
+        755.9587378968015,
+        709.5260975140693,
+        739.185326537893,
+        692.3827515000271,
+        720.3914741221748,
+        674.1118423471751,
+        701.0729575963935,
+        654.5488903324989,
+        681.0760036932656,
+        634.624996370664,
+        661.3798486330215,
+        615.1375950749593,
+        642.3587183071185,
+        595.1497785345774,
+        622.7957662924423,
+        575.1771878394859,
+        602.8231755973508,
+        555.5446441705326,
+        583.0178142225194,
+        535.5476902674047,
+        563.0299976821375,
+        515.6967672345783,
+        543.139559774772,
+        496.20936593887353,
+        524.1184294488689,
+        477.79926886982474,
+        504.48588577991563,
+        458.48075234404337,
+        484.4980692395337,
+        439.80914381409934,
+        464.52547854444225,
+        423.03573245519084,
+        445.11956401892235,
+        404.7648233023388,
+        426.99340827818935,
+        389.2219040731994,
+        410.6103673924095,
+        371.90139599751063,
+        396.97040019115957,
+        355.72105611001166,
+        380.9976899902137,
+        341.8278887008317,
+        367.10452258103373,
+        329.24148087983497,
+        350.5237711299329,
+        313.9205920174554,
+        335.2028822675534,
+        301.60736251094227,
+        322.3471300738226,
+        292.52755251615133,
+        307.7200560414392,
+        279.4063719363412,
+        294.33744391426205,
+        270.0169406806234,
+        283.1535858448471,
+        259.1241599803229,
+        275.9862268539411,
+        250.35673704454132,
+        266.90641685915017,
+        243.84537395539817,
+        254.05066466541936,
+        240.3724104020596,
+        244.0506646654194,
+        233.2050514111536,
+        238.5379175490794,
+        229.38887150362268,
+        238.18886942033373,
+        230.43559062848155,
+        235.40540740113244,
+        229.04046115359904,
+        230.22902649908204,
+        223.52771403725905,
+        228.83389702419953,
+        221.43714477190596,
+        230.9244662895526,
+        224.2206067911073,
+        227.79577698874797,
+        229.3969876931577,
+        228.84249611360684,
+        237.5317205546737,
+        231.97118541441148,
+        241.3479004622046,
+        238.81158828092487,
+        249.4826333237206,
+        240.90215754627795,
+        252.6113226245252,
+        245.06039136263314,
+        260.10345449284347,
+        251.2407312501321,
+        269.79964689777023,
+        261.54149274833316,
+        283.18225902494737,
+        270.3089156841147,
+        292.87845142987413,
+        275.1473535961081,
+        306.5184186311241,
+        283.2820864576241,
+        317.98994735814506,
+        293.8804717422882,
+        330.84569955187584,
+        307.5204389435382,
+        346.60591462401027,
+        322.6146305479936,
+        363.5668765471388,
+        339.3880419069021,
+        378.66106815159424,
+        354.48223351135755,
+        395.8044141656365,
+        371.80274158704634,
+        415.0296480844029,
+        387.56295665918077,
+        433.43974515345167,
+        405.8338658120328,
+        449.8227860392315,
+        422.4146172631336,
+        467.64291652299886,
+        440.68552641598563,
+        486.76901164225956,
+        460.31807008493894,
+        506.65944954962504,
+        479.2284415969253,
+        525.9779660754064,
+        496.7208357397132,
+        544.6495746053504,
+        515.7419660656162,
+        564.136975901055,
+        535.5928890984427,
+        584.06086986289,
+        555.3982504732741,
+        604.0578237660178,
+        575.322144435109,
+        623.6207757806939,
+        594.2325159470953,
+        642.0308728497427,
+        613.8650596160486,
+        661.5938248644187,
+        633.8650596160486,
+        680.3876772801369,
+        653.7159826488751,
+        700.1930386549683,
+        672.2596597402109,
+        719.680439950673,
+        689.0330710991193,
+        738.5908114626593,
+        707.8269235148375,
+        756.5666923886427,
+        725.485875372016,
+        773.3401037475511,
+        741.666215259515,
+        787.482239371282,
+        760.0763123285637,
+        802.8031282336616,
+        777.0372742516922,
+        815.3895360546584,
+        792.1314658561477,
+        829.5316716783893,
+        808.7122173072485,
+        846.3050830372978,
+        823.8064089117039,
+        861.6259718996773,
+        835.5621139575534,
+        875.5191393088572,
+        850.6563055620088,
+        887.8323688153704,
+        862.1278342890297,
+        895.9671016768864,
+        876.0210016982096,
+        901.8145357713411,
+        887.2048597676245,
+        909.6291583411265,
+        894.3722187585305,
+        914.4675962531198,
+        904.3722187585305,
+        921.6349552440258,
+        911.8643506268487,
+        924.7636445448304,
+        915.3373141801873,
+        931.6040474113438,
+        920.8500612965272,
+        935.0770109646824,
+        930.8500612965272,
+        940.924445059137,
+        937.0304011840261,
+        944.740624966668,
+        940.846581091557,
+        946.8311942320211,
+        941.8933002164159,
+        950.647374139552,
+        946.7317381284092,
+        949.6006550146931,
+        947.4297280624593,
+        950.9957844895756,
+        950.9026916157978,
+        957.1761243770745,
+        959.0374244773138,
+        964.99074694686,
+        962.1661137781184,
+        974.3801782025778,
+        970.3008466396344,
+        978.8791992894551,
+        973.429535940439,
+        987.6466222252366,
+        981.564268801955,
+        997.9473837234376,
+        987.4117028964097,
+        1011.8405511326175,
+        996.1791258321912,
+        1023.596256178467,
+        1007.9348308780407,
+        1030.763615169373,
+        1016.0695637395567,
+        1041.3620004540371,
+        1026.0695637395568,
+        1055.9890744864206,
+        1039.9627311487368,
+        1073.1324205004628,
+        1057.106077162779,
+        1088.8926355725973,
+        1072.4269660251587,
+        1106.8685164985807,
+        1089.7474741008475,
+        1126.501060167534,
+        1106.1305149866273,
+        1145.6271552867947,
+        1124.4014241394793,
+        1164.1708323781304,
+        1141.5447701535215,
+        1180.3511722656294,
+        1160.0884472448572,
+        1197.8435664084172,
+        1179.8938086196886,
+        1216.7539379204036,
+        1198.6876610354068,
+        1236.5077047323064,
+        1218.6115549972417,
+        1256.4802954273978,
+        1237.40540741296,
+        1276.4315764325943,
+        1257.1591742248627,
+        1296.2824994654206,
+        1277.1469907652445,
+        1315.507733384187,
+        1296.7795344341978,
+        1335.1402770531404,
+        1316.7521251292892,
+        1355.091558058337,
+        1336.3846687982425,
+        1375.0154520201718,
+        1354.7947658672913,
+        1394.5028533158766,
+        1374.0199997860577,
+        1412.47873424186,
+        1393.870922818884,
+        1427.7996231042396,
+        1413.3583241145889,
+        1445.775504030223,
+        1431.0172759717675,
+        1462.1585449160027,
+        1447.1976158592665,
+        1479.6509390587905,
+        1464.8565677164452,
+        1495.19385828793,
+        1481.239608602225,
+        1508.3150388677402,
+        1495.8666826346084,
+        1522.9421129001237,
+        1512.2497235203882,
+        1535.2553424066368,
+        1527.5706123827679,
+        1549.1485098158169,
+        1541.2105795840178,
+        1559.746895100481,
+        1551.2105795840178,
+        1573.1295072276582,
+        1564.331760163828,
+        1582.2093172224493,
+        1574.0279525687547,
+        1593.9650222682988,
+        1586.8837047624854,
+        1603.3544535240167,
+        1598.3552334895064,
+        1608.530834426067,
+        1605.5225924804124,
+        1608.530834426067,
+        1608.3060544996138,
+        1613.0298555129443,
+        1615.1464573661272,
+        1614.076574637803,
+        1618.962637273658,
+        1616.8600366570045,
+        1621.053206539011,
+        1614.4226497889015,
+        1620.0064874141522,
+        1616.5132190542545,
+        1623.4794509674907,
+        1615.118089579372,
+        1623.8284990962363,
+        1617.9015515985734,
+        1621.7379298308833,
+        1616.1584367436203,
+        1616.2251827145433,
+        1610.3110026491656,
+        1615.8761345857977,
+        1599.7126173645015,
+        1613.0926725665963,
+        1592.2204854961833,
+        1608.593651479719,
+        1588.4043055886525,
+        1602.082288390576,
+        1581.2369465977465,
+        1591.4839031059118,
+        1571.5407541928198,
+        1584.9725400167688,
+        1557.6475867836398,
+        1575.8927300219777,
+        1545.8918817377903,
+        1563.306322200981,
+        1530.5709928754106,
+        1548.2121305965254,
+        1518.5346924123696,
+        1536.456425550676,
+        1502.774477340235,
+        1522.069629543903,
+        1489.1345101389852,
+        1505.1086676207744,
+        1472.3610987800766,
+        1489.1359574198286,
+        1453.9510017110279,
+        1470.8650482669766,
+        1437.567960825248,
+        1454.4820073811968,
+        1418.896352295304,
+        1441.3608268013866,
+        1401.7530062812618,
+        1424.7800753502856,
+        1382.9591538655436,
+        1405.8697038382993,
+        1363.6406373397622,
+        1386.064342463468,
+        1343.6528207993802,
+        1367.5206653721323,
+        1323.8990539874774,
+        1347.669742339306,
+        1303.9112374470956,
+        1328.7593708273196,
+        1283.9386467520042,
+        1308.808089822123,
+        1264.375694737328,
+        1288.8202732817413,
+        1244.387878196946,
+        1269.1241182214972,
+        1224.9004769012413,
+        1249.1271643183693,
+        1204.9765829394064,
+        1229.276241285543,
+        1185.344039270453,
+        1209.7888399898382,
+        1166.5501868547349,
+        1191.662684249105,
+        1148.5743059287515,
+        1172.2567697235852,
+        1129.6639344167652,
+        1153.3463982115989,
+        1111.8438039329978,
+        1135.6874463544202,
+        1096.5229150706182,
+        1116.666316028517,
+        1080.1398741848384,
+        1099.3458079528282,
+        1065.7530781780654,
+        1082.9627670670484,
+        1048.792116254937,
+        1068.0998705575005,
+        1035.152149053687,
+        1051.5191191063996,
+        1019.1794388527412,
+        1036.892045074016,
+        1004.5523648203578,
+        1023.509432946839,
+        993.0808360933369,
+        1014.429622952048,
+        984.0010260985459,
+        1003.8312376673839,
+        979.5020050116686,
+        990.1912704661339,
+        972.3346460207626,
+        980.8018392104161,
+        962.9452147650449,
+        972.9872166406307,
+        956.4338516759017,
+        968.4881955537534,
+        952.9608881225631,
+        959.7207726179718,
+        944.8261552610471,
+        953.2094095288286,
+        941.6974659602425,
+        950.4259475096272,
+        941.3484178314969,
+        945.5875095976339,
+        938.911030963394,
+        942.8040475784326,
+        941.6944929825953,
+        942.1060576443825,
+        939.6039237172422,
+        938.633094091044,
+        935.7877438097113,
+        938.9821422197897,
+        927.3353785748973,
+        935.8534529189851,
+        922.496940662904,
+        928.3613210506669,
+        914.362207801388,
+        925.2326317498623,
+        910.2039739850328,
+        920.056250847812,
+        904.0236340975339,
+        910.056250847812,
+        896.2090115277484,
+        901.921517986296,
+        886.8195802720306,
+        891.921517986296,
+        874.5063507655175,
+        886.4087708699559,
+        858.5336405645717,
+        879.2414118790499,
+        845.4124599847615,
+        868.057553809635,
+        833.9409312577407,
+        855.2018016159043,
+        819.0780347481927,
+        839.6588823867648,
+        807.8941766787779,
+        826.2762702595877,
+        793.03128016923,
+        810.0959303720888,
+        776.4505287181291,
+        791.9697746313558,
+        758.6303982343618,
+        776.2095595592214,
+        739.2244837088418,
+        764.1732590961805,
+        720.814386639793,
+        749.546185063797,
+        703.8534247166646,
+        731.8872332066185,
+        685.1818161867205,
+        712.9768616946321,
+        665.3308931538941,
+        693.4894603989275,
+        645.9249786283741,
+        673.5016438585455,
+        627.7988228876411,
+        654.1831273327642,
+        608.6727277683804,
+        634.3322042999378,
+        588.6849112279984,
+        614.4417663925723,
+        569.1219592133223,
+        594.6364050177409,
+        549.1493685182307,
+        574.7459671103754,
+        529.9241345994644,
+        554.8220731485405,
+        510.03369669209894,
+        535.0167117737092,
+        491.3620881621549,
+        515.0197578705813,
+        471.7991361474788,
+        495.387214201628,
+        452.88876463549246,
+        476.9771171325792,
+        434.61785548264044,
+        457.65860060679785,
+        418.64514528169457,
+        439.8384701230305,
+        400.1014681903588,
+        420.2755181083544,
+        382.78096011467,
+        401.2543877824513,
+        367.02074504253557,
+        382.9834786295993,
+        348.74983588968354,
+        367.0107684286534,
+        332.9896208175491,
+        354.15501623492264,
+        319.09645340836914,
+        339.2921197253748,
+        309.4002610034424,
+        327.25581926233383,
+        297.3639605404014,
+        312.8690232555608,
+        289.54933797061597,
+        299.7478426757507,
+        280.15990671489817,
+        290.66803268095975,
+        267.846677208385,
+        279.1965039539389,
+        259.39431197357106,
+        269.1965039539389,
+        246.53855977984026,
+        261.0617710924229,
+        237.14912852412246,
+        256.5627500055456,
+        229.98176953321646,
+        249.07061813722734,
+        224.46902241687647,
+        238.76985663902627,
+        223.07389294199396,
+        231.92945377251291,
+        225.5112798100969,
+        226.75307287046252,
+        226.20926974414692,
+        225.35794339558,
+        223.77188287604397,
+        226.75307287046252,
+        226.5553448952453,
+        225.00995801550937,
+        232.40277898970004,
+        227.7934200347107,
+        236.21895889723092,
+        226.39829055982818,
+        237.2656780220898,
+        230.21447046735906,
+        240.7386415754284,
+        236.7258335565022,
+        246.2513886917684,
+        240.5420134640331,
+        253.4187476826744,
+        248.35663603381857,
+        264.89027640969533,
+        254.20407012827332,
+        271.7306792762087,
+        264.2040701282733,
+        282.91453734562367,
+        272.3388029897893,
+        295.5009451666204,
+        282.0349953947161,
+        311.47365536756627,
+        294.89074758844686,
+        326.3365518771142,
+        304.28017884416465,
+        338.9229596981109,
+        315.1729595444652,
+        350.10681776752585,
+        328.5555716716423,
+        363.227998347336,
+        343.64976327609776,
+        379.8087497984368,
+        361.6256442020811,
+        397.78463072442014,
+        377.38585927421553,
+        412.8788223288756,
+        394.34682119734407,
+        430.02216834291784,
+        412.6177303501961,
+        449.0432986688209,
+        428.3779454223305,
+        468.7970654807237,
+        445.6984534980193,
+        487.4686740106677,
+        464.1085505670681,
+        506.7871905364491,
+        483.8047056273123,
+        526.6776284438146,
+        503.02993954607865,
+        546.4313952557173,
+        523.0025302411701,
+        566.3826762609139,
+        542.6350739101234,
+        585.8700775566185,
+        562.607664605215,
+        605.821358561815,
+        582.4130259800463,
+        625.4539022307683,
+        602.4099798831742,
+        643.4297831567517,
+        622.3338738450091,
+        662.1013916866957,
+        641.4599689642698,
+        681.9067530615271,
+        661.4112499694663,
+        701.9067530615271,
+        681.1074050297104,
+        721.312667587047,
+        699.6510821210462,
+        738.805061729835,
+        715.8314220085451,
+        754.3479809589744,
+        734.2415190775939,
+        772.0069328161529,
+        753.8740627465472,
+        787.9796430170987,
+        772.0002184872802,
+        802.3664390238717,
+        788.38325937306,
+        819.3274009470002,
+        803.7041482354396,
+        835.0876160191347,
+        816.8253288152497,
+        847.9433682128655,
+        832.7980390161955,
+        858.2441297110665,
+        846.9401746399265,
+        870.8305375320633,
+        859.2534041464396,
+        886.5907526041977,
+        868.9495965513663,
+        900.2307198054477,
+        880.4211252783872,
+        911.1235005057482,
+        889.810556534105,
+        920.512931761466,
+        900.7033372344055,
+        925.0119528483433,
+        907.5437401009189,
+        925.3610009770889,
+        911.3599200084498,
+        930.8737480934288,
+        919.8122852432638,
+        932.616862948382,
+        923.6284651507947,
+        937.7932438504324,
+        931.1205970191129,
+        938.8399629752913,
+        935.278830835468,
+        944.0163438773417,
+        944.358640830259,
+        944.0163438773417,
+        948.8576619171363,
+        947.8325237848726,
+        949.5556518511863,
+        954.672926651386,
+        954.3940897631796,
+        957.8016159521906,
+        954.7431378919252,
+        965.616238521976,
+        958.5593177994562,
+        969.7744723383312,
+        965.7266767903621,
+        976.2858354274744,
+        968.1640636584651,
+        980.4440692438295,
+        974.0114977529198,
+        986.6244091313284,
+        982.7789206887013,
+        997.5171898316289,
+        988.9592605762002,
+        1011.1571570328789,
+        998.9592605762002,
+        1022.6286857598998,
+        1010.4307893032211,
+        1036.2686529611497,
+        1023.5519698830312,
+        1051.5895418235293,
+        1039.0948891121707,
+        1063.3452468693788,
+        1051.4081186186838,
+        1077.2384142785588,
+        1065.5502542424147,
+        1092.3326058830144,
+        1081.5229644433605,
+        1109.106017241923,
+        1099.3430949271278,
+        1126.7649690991016,
+        1115.3158051280736,
+        1146.083485624883,
+        1133.4419608688067,
+        1164.755094154827,
+        1152.8478753943266,
+        1184.5604555296584,
+        1170.82375632031,
+        1203.8789720554398,
+        1190.3111576160147,
+        1223.8789720554398,
+        1208.9827661459587,
+        1243.5115157243931,
+        1228.3012826717402,
+        1263.508469627521,
+        1248.2738733668316,
+        1283.2622364394238,
+        1267.7612746625364,
+        1303.2500529798058,
+        1287.6517125699017,
+        1323.1009760126321,
+        1307.4054793818045,
+        1342.588377308337,
+        1327.29591728917,
+        1362.5853312114648,
+        1347.2198112510048,
+        1381.9038477372462,
+        1366.1301827629911,
+        1400.0300034779793,
+        1383.2735287770333,
+        1418.8238558936976,
+        1402.1839002890197,
+        1436.4828077508762,
+        1418.9573116479282,
+        1453.2562191097848,
+        1437.367408716977,
+        1472.166590621771,
+        1454.5107547310192,
+        1490.1424715477544,
+        1472.4866356570026,
+        1506.915882906663,
+        1488.029554886142,
+        1522.6760979787975,
+        1506.300464038994,
+        1534.7123984418386,
+        1522.0606791111286,
+        1542.2045303101568,
+        1535.4432912383058,
+        1554.2408307731978,
+        1546.3360719386064,
+        1564.2408307731978,
+        1558.6493014451196,
+        1576.554060279711,
+        1567.416724380901,
+        1587.4468409800115,
+        1579.1724294267506,
+        1594.6141999709175,
+        1588.8686218316773,
+        1599.452637882911,
+        1597.0033546931934,
+        1607.9050031177248,
+        1602.850788787648,
+        1613.0813840197752,
+        1610.6654113574336,
+        1615.8648460389766,
+        1614.1383749107722,
+        1622.70524890549,
+        1621.6305067790904,
+        1627.2042699923672,
+        1626.8068876811408,
+        1627.2042699923672,
+        1627.8536068059996,
+        1623.7313064390287,
+        1626.1104919510465,
+        1624.7780255638875,
+        1621.9522581346912,
+        1623.7313064390287,
+        1621.9522581346912,
+        1618.8928685270353,
+        1617.453237047814,
+        1609.1966761221086,
+        1609.9611051794957,
+        1602.0293171312026,
+        1606.4881416261571,
+        1591.7285556330014,
+        1599.3207826352511,
+        1583.5938227714853,
+        1587.8492539082301,
+        1572.1222940444643,
+        1581.0088510417168,
+        1564.3076714746787,
+        1570.7080895435156,
+        1553.1238134052637,
+        1563.2159576751974,
+        1539.7412012780865,
+        1552.9151961769962,
+        1529.7412012780865,
+        1540.8788957139552,
+        1515.8480338689064,
+        1526.4920997071822,
+        1499.4649929831266,
+        1510.5193895062364,
+        1485.0781969763536,
+        1496.1325934994634,
+        1468.6951560905738,
+        1478.6401993566756,
+        1449.9013036748556,
+        1462.6674891557298,
+        1433.127892315947,
+        1445.175095012942,
+        1414.3340399002288,
+        1428.594343561841,
+        1396.6750880430502,
+        1409.922735031897,
+        1377.1876867473454,
+        1392.9617731087685,
+        1359.0615310066123,
+        1374.1679206930503,
+        1339.3653759463682,
+        1354.4717656328062,
+        1319.3684220432403,
+        1334.4839490924242,
+        1299.477984135875,
+        1314.7301822805214,
+        1279.4810302327471,
+        1294.7789012753249,
+        1259.5905923253817,
+        1274.791084734943,
+        1239.836825513479,
+        1254.8184940398517,
+        1219.8855445082825,
+        1235.2555420251756,
+        1200.034621475456,
+        1215.2585881220477,
+        1181.1242499634698,
+        1195.6956361073717,
+        1163.9809039494276,
+        1177.7197551813883,
+        1145.1870515337093,
+        1158.6986248554854,
+        1127.211170607726,
+        1140.5724691147523,
+        1110.4377592488174,
+        1123.42912310071,
+        1092.0276621797686,
+        1105.0190260316613,
+        1076.0549519788228,
+        1089.2588109595267,
+        1061.912816355092,
+        1072.4853996006182,
+        1044.5923082794031,
+        1057.3912079961626,
+        1030.2055122726301,
+        1045.3549075331216,
+        1018.1692118095892,
+        1031.9722954059444,
+        1004.0270761858583,
+        1015.7919555184454,
+        992.8432181164434,
+        1002.1519883171954,
+        985.0285955466579,
+        992.7625570614777,
+        974.1358148463573,
+        987.9241191494843,
+        966.3211922765719,
+        981.4127560603412,
+        962.1629584602167,
+        970.2288979909263,
+        954.6708265918985,
+        963.3884951244129,
+        948.8233924974438,
+        952.204637054998,
+        948.1254025633938,
+        944.7125051866798,
+        945.3419405441924,
+        940.8963252791489,
+        940.1655596421421,
+        940.1983353450988,
+        938.7704301672595,
+        935.0219544430485,
+        934.2714090803822,
+        932.9313851776953,
+        931.8340222122793,
+        935.0219544430485,
+        924.9936193457659,
+        933.2788395880953,
+        920.8353855294107,
+        927.0984997005963,
+        918.7448162640576,
+        923.6255361472578,
+        914.2457951771803,
+        924.6722552721167,
+        905.7934299423663,
+        921.8887932529153,
+        893.2070221213695,
+        914.7214342620093,
+        884.7546568865555,
+        905.0252418570826,
+        880.5964230702003,
+        893.5537131300617,
+        872.7818005004149,
+        880.1711010028846,
+        862.4810390022138,
+        869.5727157182205,
+        849.3598584224037,
+        855.4305800944895,
+        833.3871482214579,
+        843.3942796314486,
+        820.5313960277272,
+        828.3000880269932,
+        805.9043219953437,
+        815.1789074471831,
+        788.2453701381652,
+        799.6359882180436,
+        771.4719587792567,
+        782.8625768591352,
+        753.2010496264047,
+        767.9996803495873,
+        736.2400877032762,
+        750.6791722738985,
+        718.1139319625432,
+        731.5530771546378,
+        698.5509799478671,
+        713.8941252974593,
+        679.4248848286063,
+        694.5756087716779,
+        659.4736038234098,
+        677.08321462889,
+        639.9106518087336,
+        658.5395375375542,
+        622.0905213249663,
+        638.976585522878,
+        603.18014981298,
+        619.0039948277865,
+        583.2288688077834,
+        599.3078397675424,
+        563.2319149046556,
+        579.3352490724509,
+        543.4265535298242,
+        559.4843260396244,
+        525.0164564607754,
+        539.4873721364966,
+        505.79122254200905,
+        519.7336053245938,
+        485.98586116717763,
+        500.3276907990738,
+        467.0754896551913,
+        482.8352966562859,
+        448.9493339144583,
+        463.5167801305045,
+        429.6308173886769,
+        443.5928861686696,
+        411.5046616479439,
+        423.9603424997164,
+        395.53195144699805,
+        404.8342473804557,
+        378.0395573042101,
+        387.34185323766775,
+        362.7186684418306,
+        371.3691430367219,
+        349.33605631465343,
+        358.5133908429911,
+        333.36334611370756,
+        343.19250198061155,
+        319.98073398653037,
+        329.80988985343436,
+        310.2845415816036,
+        318.3383611264135,
+        297.1633610017935,
+        304.95574899923633,
+        280.58260955069267,
+        293.20004395338685,
+        265.48841794623723,
+        283.81061269766906,
+        251.84845074498728,
+        271.22420487667233,
+        242.15225834006054,
+        262.4567819408908,
+        237.31382042806717,
+        255.94541885174763,
+        235.57070557311403,
+        246.55598759602984,
+        230.05795845677403,
+        238.74136502624438,
+        226.9292691559694,
+        233.902927114251,
+        226.58022102722373,
+        231.11946509504972,
+        223.4515317264191,
+        230.4214751609997,
+        222.05640225153658,
+        225.2450942589493,
+        225.5293658048752,
+        225.2450942589493,
+        224.1342363299927,
+        228.02855627815063,
+        225.87735118494587,
+        228.72654621220065,
+        230.3763722718232,
+        234.2392933285406,
+        237.21677513833657,
+        234.58834145728628,
+        242.393156040387,
+        238.0613050106249,
+        251.78258729610482,
+        243.90873910507963,
+        258.94994628701085,
+        254.50712438974372,
+        269.25070778521194,
+        261.3475272562571,
+        277.0653303549974,
+        271.04371966118384,
+        288.24918842441235,
+        283.8994718549146,
+        297.0166113601939,
+        294.49785713957874,
+        308.20046942960886,
+        303.5776671343697,
+        320.7868772506056,
+        314.76152520378463,
+        335.1736732573786,
+        329.85571680824006,
+        351.55671414315844,
+        341.892017271281,
+        366.4196106527063,
+        357.21290613366057,
+        382.39232085365217,
+        373.986317492569,
+        400.9359979449879,
+        392.112473233302,
+        417.31903883076774,
+        408.49551411908186,
+        435.7291358998165,
+        425.81602219477065,
+        454.9543698185829,
+        444.0869313476227,
+        472.93025074456625,
+        463.2130264668834,
+        491.7241031602844,
+        482.7759784815595,
+        511.4202582205286,
+        501.79710880746256,
+        531.4172121236564,
+        521.3600608221386,
+        551.2681351564829,
+        541.3113418273351,
+        570.3942302757437,
+        560.2217133393215,
+        590.2451533085701,
+        580.1456073011564,
+        610.242107211698,
+        600.0968883063529,
+        629.8746508806513,
+        619.793043366597,
+        648.8957812065544,
+        638.464651896541,
+        668.6495480184572,
+        658.0971955654943,
+        687.1932251097929,
+        678.0971955654943,
+        706.4184590285593,
+        697.5031100910143,
+        724.5446147692923,
+        716.2969625067325,
+        741.3180261282007,
+        733.4403085207747,
+        759.7281231972495,
+        751.5664642615077,
+        776.689085120378,
+        767.9495051472875,
+        792.0099739827575,
+        786.4931822386233,
+        809.9858549087409,
+        803.6365282526655,
+        826.5666063598417,
+        819.1794474818049,
+        841.8874952222212,
+        832.0351996755358,
+        854.473903043218,
+        840.8026226113172,
+        864.473903043218,
+        853.9238031911274,
+        878.616038666949,
+        868.3105991979004,
+        889.7998967363638,
+        879.7821279249213,
+        896.311259825507,
+        889.1715591806391,
+        907.2040405258075,
+        896.0119620471525,
+        915.018663095593,
+        904.779384982934,
+        920.8660971900476,
+        911.6197878494473,
+        924.3390607433862,
+        920.3872107852288,
+        930.5194006308851,
+        927.2276136517422,
+        933.6480899316897,
+        929.6650005198452,
+        938.8244708337401,
+        935.1777476361851,
+        942.2974343870786,
+        935.8757375702352,
+        950.1120569568641,
+        941.0521184722855,
+        953.2407462576687,
+        944.5250820256241,
+        961.0553688274541,
+        951.0364451147673,
+        966.2317497295045,
+        955.8748830267606,
+        968.3223189948576,
+        958.6583450459619,
+        968.6713671236032,
+        963.1573661328392,
+        972.4875470311341,
+        970.3247251237452,
+        979.9796788994523,
+        975.5011060257956,
+        982.7631409186537,
+        976.5478251506545,
+        987.939521820704,
+        981.0468462375318,
+        995.7541443904895,
+        989.8142691733133,
+        1006.0549058886905,
+        1002.9354497531234,
+        1019.6948730899405,
+        1017.3222457598964,
+        1035.455088162075,
+        1029.3585462229373,
+        1049.095055363325,
+        1044.2214427324852,
+        1066.0560172864534,
+        1060.194152933431,
+        1080.4428132932264,
+        1074.3362885571619,
+        1097.9352074360143,
+        1091.2972504802904,
+        1116.6068159659583,
+        1110.0911028960086,
+        1133.7501619800005,
+        1127.911233379776,
+        1152.6605334919868,
+        1143.4541526089154,
+        1170.3194853491655,
+        1160.9465467517032,
+        1189.4455804684262,
+        1179.9676770776061,
+        1209.0781241373795,
+        1199.455078373311,
+        1227.4882212064283,
+        1219.2604397481423,
+        1246.5093515323313,
+        1239.2482562885243,
+        1266.3997894396966,
+        1258.9444113487684,
+        1286.290227347062,
+        1278.9413652518963,
+        1305.4163224663228,
+        1298.8652592137312,
+        1325.3676034715193,
+        1318.619026025634,
+        1345.121370283422,
+        1338.6159799287618,
+        1364.142500609325,
+        1358.0218944542817,
+        1384.0329385166904,
+        1376.932265966268,
+        1403.1590336359511,
+        1394.0756119803102,
+        1421.7027107272868,
+        1412.9859834922966,
+        1438.2834621783877,
+        1429.946945415425,
+        1456.5543713312397,
+        1448.4906225067607,
+        1472.3145864033743,
+        1464.8736633925405,
+        1490.724683472423,
+        1482.8495443185238,
+        1506.6973936733689,
+        1499.992890332566,
+        1521.084189680142,
+        1515.9656005335119,
+        1533.120490143183,
+        1530.5926745658953,
+        1547.9833866527308,
+        1542.0642032929163,
+        1559.7390916985803,
+        1555.1853838727266,
+        1568.5065146343618,
+        1566.3692419421416,
+        1579.3992953346624,
+        1575.7586731978595,
+        1587.213917904448,
+        1581.9390130853585,
+        1599.527147410961,
+        1590.0737459468746,
+        1610.1255326956252,
+        1601.829450992724,
+        1618.5778979304391,
+        1610.281816227538,
+        1622.39407783797,
+        1614.0979961350688,
+        1621.69608790392,
+        1616.1885654004218,
+        1623.439202758873,
+        1622.0359994948765,
+        1620.6557407396717,
+        1624.1265687602295,
+        1622.7463100050247,
+        1624.1265687602295,
+        1621.0031951500716,
+        1619.288130848236,
+        1623.4405820181746,
+        1617.545015993283,
+        1624.1385719522245,
+        1619.635585258636,
+        1621.3551099330232,
+        1617.545015993283,
+        1616.1787290309728,
+        1612.032268876943,
+        1606.789297775255,
+        1602.9524588821519,
+        1602.2902766883776,
+        1595.7850998912459,
+        1595.4498738218642,
+        1584.6012418218309,
+        1585.4498738218642,
+        1575.211810566113,
+        1572.8634660008674,
+        1569.031470678614,
+        1558.0005694913195,
+        1558.1386899783133,
+        1545.1448172975888,
+        1545.2829377845826,
+        1535.1448172975888,
+        1529.1025978970836,
+        1523.6732885705678,
+        1515.9814173172733,
+        1509.7801211613878,
+        1499.8010774297743,
+        1494.6859295569323,
+        1486.1611102285244,
+        1477.0269776997536,
+        1469.200148305396,
+        1458.6168806307048,
+        1455.306980896216,
+        1440.9579287735262,
+        1438.726229445115,
+        1422.2863202435822,
+        1421.2338353023272,
+        1404.4661897598148,
+        1402.1077401830664,
+        1385.4450594339119,
+        1384.4487883258878,
+        1365.4937784287154,
+        1365.1302718001064,
+        1345.861234759762,
+        1345.4341167398622,
+        1327.4511376907133,
+        1325.4463001994804,
+        1307.645776315882,
+        1305.8833481848044,
+        1287.648822412754,
+        1285.9594542229695,
+        1267.7978993799277,
+        1266.1540928481381,
+        1247.7978993799277,
+        1246.166276307756,
+        1228.1017443196836,
+        1226.5337326388028,
+        1208.1017443196836,
+        1208.123635569754,
+        1188.7832277939021,
+        1188.6362342740492,
+        1170.5123186410501,
+        1170.5100785333161,
+        1151.6019471290638,
+        1151.0226772376113,
+        1135.0211956779629,
+        1133.202546753844,
+        1116.1108241659765,
+        1113.9773128350776,
+        1097.9846684252434,
+        1096.4849186922897,
+        1082.6637795628637,
+        1080.10187780651,
+        1064.8436490790964,
+        1065.0076862020544,
+        1049.5227602167167,
+        1047.5152920592666,
+        1038.0512314896957,
+        1031.5425818583208,
+        1023.4241574573123,
+        1018.956174037324,
+        1010.0415453301351,
+        1010.821441175808,
+        1000.0415453301351,
+        1001.1252487708813,
+        986.1483779209552,
+        988.5388409498845,
+        976.4521855160285,
+        977.3549828804696,
+        968.9600536477103,
+        969.5403603106842,
+        966.176591628509,
+        963.3600204231852,
+        961.3381537165156,
+        960.5765584039839,
+        954.4977508500023,
+        953.4091994130779,
+        951.0247872966637,
+        948.5707615010846,
+        944.1843844301503,
+        945.44207220028,
+        939.345946518157,
+        939.5946381058253,
+        937.6028316632038,
+        936.4659488050207,
+        931.7553975687491,
+        938.2090636599739,
+        930.0122827137959,
+        936.8139341850914,
+        931.0590018386548,
+        930.9665000906367,
+        930.3610119046048,
+        928.8759308252836,
+        926.8880483512662,
+        922.0355279587702,
+        921.3753012349262,
+        917.1970900467769,
+        912.2954912401352,
+        908.117280051986,
+        907.1191103380849,
+        900.6251481836678,
+        899.9517513471789,
+        890.0267628990036,
+        889.3533660625147,
+        882.8594039080976,
+        875.9707539353376,
+        873.1632115031709,
+        863.9344534722967,
+        860.3074593094402,
+        848.3915342431573,
+        844.5472442373058,
+        834.0047382363842,
+        832.5109437742649,
+        822.2490331905348,
+        817.4167521698095,
+        807.3861366809869,
+        805.9452234427886,
+        791.413426480041,
+        790.8510318383331,
+        773.0033294109923,
+        774.2702803872323,
+        756.8229895234933,
+        756.7778862444444,
+        742.9298221143134,
+        738.1062777145004,
+        725.968860191185,
+        720.7857696388116,
+        707.1750077754667,
+        701.7646393129086,
+        687.2511138136318,
+        682.2016872982324,
+        668.2299834877288,
+        663.2913157862461,
+        648.5338284274847,
+        646.3303538631176,
+        628.5612377323931,
+        628.5102233793502,
+        608.7103146995667,
+        609.716370963632,
+        589.9164622838484,
+        589.9110095888007,
+        570.5979457580671,
+        569.9140556856728,
+        550.8441789461643,
+        550.16028887377,
+        530.8472250430365,
+        531.2499173617837,
+        510.99630201021,
+        513.9294092860949,
+        491.7710680914436,
+        495.80325354536194,
+        473.36097102239484,
+        476.67715842610124,
+        455.7020191652163,
+        456.68934188571933,
+        438.9286078063078,
+        437.1263898710432,
+        420.13475539058965,
+        418.7162928019944,
+        402.1588744646063,
+        401.7553308788659,
+        385.01552845056403,
+        386.2124116497265,
+        370.8733928268331,
+        372.07027602599555,
+        354.2926413757323,
+        356.3100609538611,
+        338.9717525133527,
+        341.6829869214777,
+        326.11600031962195,
+        329.92728187562824,
+        315.81523882142085,
+        315.5404858688552,
+        302.4326266942437,
+        299.99756663971584,
+        285.6592153353352,
+        287.14181444598506,
+        271.2724193285622,
+        277.4456220410583,
+        260.37963862826166,
+        272.2692411390079,
+        253.5392357617483,
+        262.8798098832901,
+        249.7230558542174,
+        251.12410483744063,
+        242.23092398589915,
+        242.0442948426497,
+        238.072690169544,
+        235.20389197613633,
+        239.11940929440286,
+        231.04565815978117,
+        235.64644574106427,
+        231.04565815978117,
+        230.13369862472427,
+        225.86927725773077,
+        228.39058376977113,
+        225.17128732368076,
+        231.51927307057576,
+        229.67030841055808,
+        231.1702249418301,
+        228.97231847650806,
+        227.6972613884915,
+        230.01903760136693,
+        226.302131913609,
+        235.19541850341736,
+        228.39270117896208,
+        235.89340843746737,
+        235.56006016986808,
+        240.3924295243447,
+        245.56006016986808,
+        248.20705209413018,
+        253.37468273965357,
+        251.6800156474688,
+        264.8462114666745,
+        258.5204185139822,
+        273.61363440245606,
+        269.70427658339713,
+        280.78099339336205,
+        283.08688871057427,
+        289.860803388153,
+        293.9796694108748,
+        302.9819839679631,
+        306.56607723187153,
+        318.30287283034266,
+        321.42897374141944,
+        332.4450084540736,
+        333.4652742044604,
+        343.04339373873773,
+        348.55946580891583,
+        356.6833609399877,
+        366.5353467348992,
+        371.5462574495356,
+        381.8562355972787,
+        389.2052093067141,
+        393.8925360603197,
+        408.6926106024188,
+        408.7554325698676,
+        426.35156245959735,
+        425.71639449299613,
+        442.7346033453772,
+        444.7375248188992,
+        460.055111421066,
+        464.3700684878525,
+        478.4652084901148,
+        483.04167701779653,
+        498.21897530201755,
+        502.84703839262795,
+        518.191565997109,
+        522.2529529181479,
+        538.1154599589439,
+        542.1433908255134,
+        558.0058978663094,
+        562.1403447286413,
+        577.8963357736749,
+        581.9457061034726,
+        597.2148522994562,
+        601.9335226438545,
+        617.1387462612911,
+        621.784445676681,
+        637.1113369563826,
+        641.784445676681,
+        656.8074920166267,
+        661.5898070515124,
+        675.9335871358875,
+        680.7159021707731,
+        693.4259812786754,
+        698.3748540279516,
+        712.7444978044567,
+        717.3959843538547,
+        730.4034496616352,
+        734.8883784966426,
+        746.3761598625811,
+        750.2092673590222,
+        764.5023156033141,
+        767.7016615018101,
+        781.8228236790028,
+        786.4955139175283,
+        798.0031635665017,
+        803.8160219932171,
+        810.5895713874985,
+        818.2028179999901,
+        826.1324906166379,
+        829.386676069405,
+        843.6248847594259,
+        842.2424282631358,
+        858.7190763638813,
+        857.3366198675913,
+        872.3590435651313,
+        869.6498493741044,
+        882.6598050633323,
+        877.7845822356204,
+        890.1519369316505,
+        890.3709900566172,
+        901.6234656586714,
+        900.9693753412813,
+        911.3196580635981,
+        909.7367982770628,
+        918.8117899319163,
+        915.5842323715175,
+        923.9881708339667,
+        917.6748016368706,
+        925.3833003088492,
+        922.851182538921,
+        931.2307344033039,
+        930.018541529827,
+        933.6681212714069,
+        935.1949224318773,
+        940.1794843605501,
+        937.6323092999803,
+        942.2700536259032,
+        944.4727121664937,
+        948.4503935134021,
+        949.311150078487,
+        950.1935083683553,
+        951.4017193438401,
+        953.6664719216939,
+        956.5781002458905,
+        954.3644618557439,
+        956.5781002458905,
+        959.2028997677372,
+        960.3942801534214,
+        968.2827097625282,
+        969.1617030892029,
+        974.4630496500271,
+        976.0021059557163,
+        975.509768774886,
+        979.1307952565209,
+        978.6384580756906,
+        986.6229271248391,
+        984.8187979631895,
+        997.806785194254,
+        995.71157866349,
+        1010.6625373879848,
+        1008.2979864844867,
+        1020.6625373879848,
+        1023.3921780889422,
+        1033.783717967795,
+        1035.1478831347915,
+        1049.7564281687407,
+        1049.0410505439716,
+        1062.6121803624715,
+        1065.0137607449174,
+        1078.5848905634173,
+        1083.2846698977694,
+        1096.243842420596,
+        1100.7770640405572,
+        1112.424182308095,
+        1115.1638600473302,
+        1130.4000632340783,
+        1131.9372714062388,
+        1149.6252971528447,
+        1150.6088799361828,
+        1167.445427636612,
+        1170.1718319508589,
+        1186.117036166556,
+        1188.7155090421945,
+        1205.3422700853225,
+        1208.1214235677144,
+        1225.293551090519,
+        1228.1214235677144,
+        1244.7809523862238,
+        1247.7539672366677,
+        1264.7809523862238,
+        1267.7417837770495,
+        1284.5347191981266,
+        1287.6322216844148,
+        1304.425157105492,
+        1307.6200382247966,
+        1324.3764381106885,
+        1327.425399599628,
+        1344.3490288057799,
+        1346.9128008953328,
+        1363.370159131683,
+        1364.5717527525114,
+        1380.690667207372,
+        1383.2433612824555,
+        1399.8167623266327,
+        1403.0942843152818,
+        1417.1372704023215,
+        1422.0046558272682,
+        1436.0476419143079,
+        1438.9656177503966,
+        1453.19098792835,
+        1456.94149867638,
+        1471.862596458294,
+        1472.9142088773258,
+        1488.443347909395,
+        1491.040364618059,
+        1502.585483533126,
+        1507.6211160691598,
+        1519.5464454562546,
+        1521.763251692891,
+        1534.8673343186342,
+        1534.3496595138877,
+        1549.0094699423653,
+        1545.5335175833027,
+        1561.595877763362,
+        1559.1734847845526,
+        1570.3633006991436,
+        1568.5629160402705,
+        1583.2190528928743,
+        1581.6840966200807,
+        1594.6905816198953,
+        1592.8679546894957,
+        1603.7703916146863,
+        1599.3793177786388,
+        1610.6107944811997,
+        1603.537551594994,
+        1614.4269743887305,
+        1610.7049105859,
+        1613.3802552638717,
+        1614.8631444022553,
+        1616.163717283073,
+        1613.8164252773965,
+        1621.3400981851235,
+        1616.9451145782011,
+        1624.468787485928,
+        1615.5499851033187,
+        1623.4220683610693,
+        1617.6405543686717,
+        1617.2417284735702,
+        1615.8974395137186,
+        1614.4582664543689,
+        1618.3348263818216,
+        1615.1562563884188,
+        1617.6368364477717,
+        1613.7611269135364,
+        1615.1994495796687,
+        1609.9449470060056,
+        1610.7004284927914,
+        1602.4528151376874,
+        1604.1890654036483,
+        1591.8544298530232,
+        1594.7996341479304,
+        1583.4020646182094,
+        1583.3281054209094,
+        1579.243830801854,
+        1573.6319130159827,
+        1570.164020807063,
+        1561.045505194986,
+        1556.7814086798858,
+        1551.656073939268,
+        1544.7451082168448,
+        1538.0161067380182,
+        1530.3583122100717,
+        1525.9798062749771,
+        1518.6026071642223
+    ],
+    "y": [
+        889,
+        889,
+        889,
+        892.4729635533386,
+        892.1286893008046,
+        892.8220116820842,
+        892.4777374295502,
+        890.3846248139812,
+        887.9787163426729,
+        883.873261724838,
+        880.4865844743547,
+        875.1058387890564,
+        869.5938037740541,
+        862.5194309680596,
+        854.7309072645062,
+        846.5467207671138,
+        841.348295137329,
+        834.2334912606007,
+        830.1644370679142,
+        819.3705947510527,
+        817.043256488104,
+        807.6148897052033,
+        805.2875514422545,
+        792.0719704760638,
+        791.9049393150774,
+        777.6851744692908,
+        779.8686388520364,
+        764.82942227556,
+        765.7265032283054,
+        755.4399910198422,
+        755.4257417301044,
+        743.9684622928213,
+        742.8393339091076,
+        730.5858501656442,
+        728.9461664999277,
+        714.0050987145434,
+        711.8028204858855,
+        695.7341895616913,
+        693.0089680701673,
+        679.9739744895569,
+        676.6259271843875,
+        662.8306284755147,
+        658.966975327209,
+        644.7044727347817,
+        640.2953667972649,
+        625.0083176745376,
+        620.889452271745,
+        605.9871873486345,
+        600.9655583099101,
+        586.014596653543,
+        581.944427984007,
+        566.2608298416402,
+        562.381475969331,
+        547.7171527503044,
+        543.2553808500702,
+        528.0209976900603,
+        523.5016140381674,
+        508.04840699496884,
+        504.9579369468317,
+        489.02727666906577,
+        485.7327030280653,
+        469.1033827072309,
+        465.84226512069984,
+        450.19301119524454,
+        445.95182721333435,
+        430.3420881624181,
+        425.96401067295244,
+        411.32095783651505,
+        406.113087640126,
+        391.3483671414236,
+        386.5501356254499,
+        372.1231332226572,
+        368.2792264725979,
+        354.14725229667386,
+        350.78683232980995,
+        337.56650084557305,
+        334.606492442311,
+        319.5906199195897,
+        317.11409829952305,
+        303.4102800320907,
+        302.72730229275004,
+        289.51711262291076,
+        285.5839562787078,
+        273.9741933937713,
+        269.6112460777619,
+        262.21848834792183,
+        256.22863395058476,
+        248.83587622074467,
+        245.04477588116984,
+        233.97297971119679,
+        230.18187937162196,
+        222.50145098417585,
+        217.5954715506252,
+        214.04908574936186,
+        206.99708626596112,
+        204.04908574936186,
+        198.86235340444512,
+        198.5363386330219,
+        192.35099031530197,
+        189.14690737730407,
+        189.91360344719902,
+        181.97954838639805,
+        182.746244456293,
+        178.16336847886717,
+        180.65567519093992,
+        169.39594554308562,
+        174.80824109648518,
+        163.54851144863088,
+        173.41311162160267,
+        161.4579421832778,
+        168.91409053472535,
+        163.89532905138074,
+        169.263138663471,
+        168.73376696337408,
+        174.10157657546435,
+        171.17115383147703,
+        174.10157657546435,
+        176.00959174347037,
+        176.1921458408174,
+        178.10016100882342,
+        180.6911669276947,
+        182.2583948251786,
+        189.77097692248563,
+        188.76975791432173,
+        195.95131680998458,
+        198.46595031924846,
+        206.25207830818565,
+        204.6462902067474,
+        212.4324181956846,
+        215.53907090704794,
+        222.4324181956846,
+        230.40196741659582,
+        230.24704076547005,
+        243.52314799640595,
+        239.63647202118784,
+        253.52314799640595,
+        251.10800074820875,
+        266.90576012358315,
+        265.7350747805922,
+        283.08610001108207,
+        282.5084861395007,
+        297.7131740434655,
+        295.8910982666779,
+        314.85652005750774,
+        311.21198712905743,
+        328.7496874666877,
+        329.1878680550408,
+        344.29260669582715,
+        345.7686195061416,
+        361.2535686189557,
+        363.4275713633201,
+        379.7972457102914,
+        382.6528052820865,
+        399.4934007705356,
+        400.62868620806984,
+        418.51453109643865,
+        419.8539201268362,
+        438.3654541292651,
+        439.7048431596627,
+        457.27582564125146,
+        458.615214671649,
+        477.22710664644796,
+        478.56649567684553,
+        496.85965031540127,
+        497.7917295956119,
+        516.8109313205978,
+        517.6821675029773,
+        536.7013692279633,
+        537.6334485081738,
+        555.9266031467296,
+        557.19640052285,
+        575.777526179556,
+        575.6064975918988,
+        594.4491347095001,
+        595.4118589667302,
+        614.0120867241762,
+        614.8992602624348,
+        632.2829958770283,
+        633.0254160031678,
+        651.7703971727329,
+        652.4313305286878,
+        670.5642495884512,
+        670.7022396815398,
+        687.7075956024934,
+        687.845585695582,
+        702.5704921120413,
+        702.7084822051299,
+        720.2294439692198,
+        720.0289902808187,
+        735.7723631983592,
+        735.7892053529531,
+        749.9144988220902,
+        747.8255058159941,
+        761.0983568915051,
+        762.9196974204496,
+        776.1925484959605,
+        776.5596646216995,
+        788.2288489590015,
+        786.2558570266262,
+        796.3635818205175,
+        797.4397150960411,
+        806.6643433187186,
+        807.1359075009678,
+        818.4200483645681,
+        819.7223153219646,
+        827.8094796202859,
+        830.0230768201657,
+        834.320842709429,
+        838.1578096816817,
+        838.8198637963063,
+        841.9739895892126,
+        847.5872867320879,
+        847.4867367055526,
+        851.7455205484431,
+        849.5773059709057,
+        851.047530614393,
+        847.4867367055526,
+        852.094249739252,
+        848.1847266396027,
+        848.9655604384474,
+        853.023164551596,
+        850.0122795633063,
+        855.1137338169491,
+        847.5748926952033,
+        854.0670146920902,
+        842.0621455788634,
+        850.2508347845593,
+        839.6247587107604,
+        842.4362122147738,
+        834.1120115944204,
+        837.9371911278965,
+        825.6596463596064,
+        829.8024582663805,
+        820.1468992432665,
+        826.673768965576,
+        812.9795402523605,
+        821.8353310535826,
+        803.2833478474338,
+        814.0207084837972,
+        790.427595653703,
+        802.5491797567763,
+        780.427595653703,
+        788.6560123475964,
+        768.3912951906619,
+        771.882600988688,
+        753.2971035862065,
+        756.1223859165535,
+        741.2608031231655,
+        742.2292185073736,
+        727.8781909959883,
+        725.0858724933314,
+        711.4951501102086,
+        709.1131622923856,
+        692.9514730188728,
+        694.4860882600021,
+        675.9905110957443,
+        678.3057483725032,
+        657.7196019428923,
+        660.0348392196512,
+        638.2322006471876,
+        644.4919199905117,
+        619.8221035781388,
+        627.171411914823,
+        600.2591515634626,
+        608.3775594991048,
+        582.2832706374793,
+        588.6814044388607,
+        563.1571755182185,
+        568.7575104770258,
+        543.4034087063158,
+        548.8062294718293,
+        523.4155921659338,
+        529.2432774571532,
+        503.85264015125773,
+        509.2432774571532,
+        483.92874618942284,
+        489.4379160823218,
+        463.9409296490409,
+        470.52754457033546,
+        444.3779776343648,
+        450.8313895100913,
+        425.58412521864665,
+        431.7052943908306,
+        405.73320218582023,
+        412.07275072187736,
+        386.1702501711441,
+        393.2788983061592,
+        368.0440944304111,
+        373.79149701045446,
+        351.4633429793103,
+        354.8811254984681,
+        333.1924338264583,
+        337.3887313556802,
+        315.70003968367035,
+        322.06784249330065,
+        300.3791508212908,
+        304.74733441761185,
+        282.40326989530746,
+        289.884437908064,
+        266.8603506661681,
+        273.1110265491555,
+        255.10464562031862,
+        259.47105934790557,
+        241.21147821113868,
+        247.99953062088463,
+        228.62507039014193,
+        232.9053390164292,
+        218.32430889194086,
+        220.86903855338824,
+        204.6843416906909,
+        212.73430569187224,
+        194.38358019248983,
+        203.0381132869455,
+        187.87221710334669,
+        190.72488378043235,
+        178.17602469841995,
+        180.12649849576823,
+        172.99964379636955,
+        172.63436662745,
+        170.56225692826663,
+        168.1353455405727,
+        165.72381901627327,
+        166.39223068561955,
+        158.55646002536727,
+        161.89320959874226,
+        156.11907315726435,
+        161.89320959874226,
+        158.90253517646568,
+        158.76452029793762,
+        156.8119659111126,
+        158.0665303638876,
+        158.55508076606577,
+        159.1132494887465,
+        162.71331458242096,
+        155.64028593540792,
+        163.76003370727986,
+        155.98933406415358,
+        169.6074678017346,
+        159.8055139716845,
+        173.4236477092655,
+        166.97287296259051,
+        181.8760129440795,
+        177.5712582472546,
+        188.3873760332226,
+        183.41869234170935,
+        197.46718602801354,
+        191.55342520322537,
+        202.97993314435354,
+        202.15181048788946,
+        212.05974313914447,
+        210.2865433494055,
+        223.81544818499395,
+        221.17932404970603,
+        238.67834469454183,
+        235.072491458886,
+        249.57112539484237,
+        247.10879192192698,
+        263.7132610185733,
+        262.8690069940614,
+        280.4866723774818,
+        275.99018757387154,
+        295.5808639819372,
+        290.61726160625494,
+        313.23981583911575,
+        307.39067296516345,
+        328.10271234866366,
+        326.1845253808816,
+        344.87612370757216,
+        343.67691952366954,
+        363.7864952195585,
+        358.77111112812497,
+        381.9126509602915,
+        374.95145101562395,
+        401.0387460795522,
+        393.62305954556797,
+        420.792512891455,
+        413.1860115602441,
+        440.01774681022135,
+        431.8576200901881,
+        457.33825488591015,
+        451.7480579975536,
+        476.1321073016283,
+        471.6719519593885,
+        495.7646509705816,
+        491.5958459212234,
+        515.7524675109635,
+        510.72194104048407,
+        535.6763614727984,
+        530.4757078523868,
+        554.6974917987014,
+        550.4269888575833,
+        574.1848930944061,
+        569.553083976844,
+        592.4558022472581,
+        589.3068507887468,
+        612.2095690591609,
+        607.5777599415989,
+        631.0034214748791,
+        626.5988902675019,
+        647.5841729259799,
+        644.7250460082349,
+        666.3780253416982,
+        663.8511411274957,
+        683.6985334173869,
+        680.9944871415379,
+        699.8788733048858,
+        695.6215611739214,
+        718.4225503962216,
+        712.9420692496101,
+        735.5658964102638,
+        732.0681643688708,
+        751.3261114823982,
+        749.0291262919993,
+        764.4472920622084,
+        764.1233178964548,
+        776.2029971080578,
+        776.9790700901856,
+        791.0658936176058,
+        787.5774553748497,
+        803.9216458113366,
+        800.6986359546598,
+        813.3110770670544,
+        810.0880672103776,
+        819.4914169545533,
+        815.6008143267176,
+        828.8808482102711,
+        824.6806243215085,
+        840.6365532561206,
+        836.436329367358,
+        849.4039761919021,
+        843.603688358264,
+        856.2443790584155,
+        848.4421262702573,
+        860.4026128747706,
+        850.8795131383603,
+        860.4026128747706,
+        855.3785342252376,
+        862.8399997428736,
+        863.5132670867536,
+        861.7932806180147,
+        869.6936069742525,
+        863.8838498833678,
+        874.1926280611298,
+        862.8371307585089,
+        876.6300149292327,
+        857.9986928465156,
+        874.5394456638796,
+        854.870003545711,
+        869.0266985475397,
+        855.5679934797611,
+        859.9468885527488,
+        853.8248786248079,
+        852.4547566844305,
+        848.3121315084679,
+        848.2965228680754,
+        838.6159391035412,
+        842.1161829805765,
+        831.123807235223,
+        831.8154214823754,
+        821.123807235223,
+        825.3040583932323,
+        808.0026266554129,
+        815.6078659883055,
+        798.0026266554129,
+        803.8521609424561,
+        784.6200145282357,
+        790.7309803626459,
+        774.923822123309,
+        781.9635574268643,
+        762.887521660268,
+        771.3651721422002,
+        747.3446024311286,
+        757.9825600150231,
+        729.0736932782766,
+        742.2223449428886,
+        712.8933533907776,
+        724.4022144591213,
+        697.7991617863222,
+        707.8214630080205,
+        681.6188218988233,
+        689.0276105923023,
+        663.3479127459713,
+        671.8842645782601,
+        643.8605114502666,
+        653.7581088375271,
+        626.2015595930881,
+        638.4372199751475,
+        607.0754644738273,
+        621.2938739611053,
+        588.8045553209753,
+        602.5000215453871,
+        569.8941838089889,
+        582.6490985125606,
+        550.0037459016235,
+        563.1616972168559,
+        531.3321373716794,
+        543.1616972168559,
+        511.8447360759747,
+        523.3563358420246,
+        491.87214538088324,
+        504.2302407227639,
+        472.64691146211686,
+        484.37931768993747,
+        452.64995755898906,
+        464.406726994846,
+        432.7595196516236,
+        444.4189104544641,
+        413.9656672359054,
+        424.56798742163767,
+        394.0417732740705,
+        406.02431033030194,
+        374.4788212593944,
+        388.531916187514,
+        356.50294033341106,
+        369.6215446755277,
+        339.5419784102825,
+        351.96259281834915,
+        321.7218479265152,
+        332.7373588995828,
+        305.7491377255693,
+        314.327261830534,
+        292.6279571457592,
+        296.83486768774605,
+        276.86774207362475,
+        280.25411623664525,
+        264.5545125671116,
+        266.3609488274653,
+        249.69161605756372,
+        253.77454100646852,
+        238.7988353572632,
+        242.5906829370536,
+        225.15886815601323,
+        229.20807080987643,
+        213.9750100865983,
+        217.45236576402698,
+        205.8402772250823,
+        209.31763290251098,
+        195.2418919404182,
+        199.01687140430988,
+        186.47446900463666,
+        191.84951241340386,
+        180.62703491018192,
+        187.69127859704867,
+        178.53646564482884,
+        180.52391960614264,
+        173.02371852848887,
+        175.01117248980268,
+        172.32572859443886,
+        172.57378562169973,
+        166.8129814780989,
+        172.57378562169973,
+        165.41785200321638,
+        167.3974047196493,
+        167.16096685816953,
+        165.30683545429622,
+        170.97714676570044,
+        166.70196492917873,
+        178.46927863401868,
+        170.17492848251732,
+        183.30771654601202,
+        176.02236257697206,
+        183.30771654601202,
+        176.72035251102207,
+        188.4840974480624,
+        181.21937359789936,
+        198.4840974480624,
+        187.73073668704248,
+        206.6188303095784,
+        198.623517387343,
+        216.31502271450515,
+        206.43813995712847,
+        228.3513231775461,
+        217.330920657429,
+        238.65208467574718,
+        231.47305628115996,
+        251.50783686947796,
+        241.47305628115996,
+        267.8908777552578,
+        253.78628578767314,
+        281.78404516443777,
+        267.4262529889231,
+        298.1670860502176,
+        283.809293874703,
+        312.0602534593976,
+        296.9304744545131,
+        328.03296366034346,
+        311.793370964061,
+        346.5766407516792,
+        328.3741224151619,
+        363.5376026748077,
+        346.3500033411452,
+        381.51348360079106,
+        361.44419494560066,
+        400.63957872005176,
+        379.264325429368,
+        418.4597092038191,
+        398.4895593481344,
+        438.0226612184952,
+        418.4773758885163,
+        458.019615121623,
+        437.8832904140362,
+        477.8705381544495,
+        457.8832904140362,
+        497.3579394501542,
+        477.6886517888676,
+        517.3305301452457,
+        496.36026031881164,
+        537.1814531780722,
+        515.9928039877649,
+        556.9868145529035,
+        535.9440849929614,
+        576.9107085147384,
+        555.3499995184814,
+        596.1359424335049,
+        575.1037663303841,
+        613.2792884475471,
+        593.8976187461024,
+        631.5501976003991,
+        613.7029801209337,
+        651.1131496150753,
+        633.021496646715,
+        669.2393053558083,
+        651.8153490624333,
+        685.8200568069091,
+        669.3077432052212,
+        703.9462125476421,
+        685.4880830927201,
+        720.3292534334219,
+        702.980477235508,
+        735.4234450378773,
+        719.5612286866088,
+        747.4597455009183,
+        734.1883027189923,
+        762.5539371053737,
+        745.0810834192929,
+        774.5902375684148,
+        758.7210506205429,
+        790.3504526405492,
+        775.3018020716437,
+        804.4925882642801,
+        789.9288761040272,
+        815.676446333695,
+        801.9651765670682,
+        823.811179195211,
+        810.4175418018822,
+        830.3225422843542,
+        822.4538422649232,
+        832.7599291524572,
+        830.9062074997372,
+        839.2712922416003,
+        834.7223874072681,
+        842.7442557949389,
+        840.2351345236082,
+        847.9206366969893,
+        843.3638238244127,
+        848.9673558218482,
+        849.8751869135559,
+        853.8057937338415,
+        853.6913668210868,
+        856.9344830346461,
+        854.7380859459457,
+        858.3296125095286,
+        853.6913668210868,
+        856.2390432441755,
+        848.1786197047469,
+        849.7276801550323,
+        845.7412328366439,
+        845.9115002475014,
+        847.831802101997,
+        837.1440773117199,
+        847.4827539732513,
+        832.6450562248426,
+        843.3245201568961,
+        825.4776972339366,
+        834.2447101621052,
+        814.2938391645217,
+        829.0683292600548,
+        805.8414739297077,
+        820.6159640252408,
+        793.2550661087109,
+        810.0175787405767,
+        782.3622854084105,
+        796.1244113313968,
+        767.4993888988625,
+        783.5380035104,
+        755.1861593923494,
+        774.4581935156091,
+        740.5590853599659,
+        762.4218930525681,
+        727.9726775389692,
+        748.7819258513181,
+        712.2124624668347,
+        733.4610369889385,
+        694.2365815408514,
+        715.80208513176,
+        677.8535406550716,
+        699.4190442459802,
+        659.8776597290882,
+        681.5989137622129,
+        640.9672882171019,
+        662.2803972364316,
+        623.1471577333346,
+        643.6087887064875,
+        603.7412432078146,
+        626.4654426924453,
+        586.2488490650267,
+        607.4443123665422,
+        566.8429345395067,
+        587.9569110708376,
+        546.9190405776718,
+        569.0465395588512,
+        526.9464498825803,
+        549.2411781840199,
+        507.38349786790417,
+        529.2685874889283,
+        487.39568132752225,
+        509.2959967938369,
+        467.98976680200235,
+        489.80859549813215,
+        448.09932889463687,
+        469.85731449293564,
+        428.8740949758705,
+        450.9469429809493,
+        409.06873360103907,
+        430.9956619757528,
+        389.9426384817784,
+        412.08529046376646,
+        372.28368662459985,
+        394.76478238807766,
+        353.87358955555106,
+        375.9709299723595,
+        336.38119541276313,
+        356.6524134465781,
+        317.8375183214274,
+        337.9808049166341,
+        300.69417230738514,
+        321.59776403085425,
+        284.7214621064393,
+        306.97068999847085,
+        270.5793264827083,
+        290.38993854737004,
+        257.72357428897755,
+        276.49677113819007,
+        243.33677828220453,
+        260.73655606605564,
+        232.73839299754042,
+        247.09658886480568,
+        218.111318965157,
+        236.7958273666046,
+        206.9274608957421,
+        223.9400751728738,
+        198.7927280342261,
+        208.61918631049423,
+        194.2937069473488,
+        194.97921910924427,
+        188.11336705984985,
+        184.08643840894374,
+        177.81260556164878,
+        177.24603554243038,
+        169.67787270013278,
+        172.06965464037998,
+        165.51963888377762,
+        171.72060651163432,
+        163.77652402882447,
+        168.24764295829573,
+        159.27750294194718,
+        162.06730307079678,
+        158.57951300789716,
+        157.90906925444162,
+        159.62623213275606,
+        158.95578837930051,
+        155.81005222522515,
+        156.17232636009922,
+        155.46100409647948,
+        155.4743364260492,
+        157.89839096458243,
+        157.5649056914023,
+        162.39741205145975,
+        163.74524557890123,
+        170.21203462124524,
+        167.56142548643214,
+        175.38841552329566,
+        166.86343555238213,
+        182.5557745142017,
+        167.91015467724102,
+        193.44855521450222,
+        172.74859258923436,
+        201.58328807601825,
+        181.20095782404834,
+        214.169695897015,
+        192.67248655106926,
+        224.169695897015,
+        207.2995605834527,
+        235.92540094286448,
+        219.33586104649368,
+        250.3121969496375,
+        233.7226570532667,
+        265.85511617877694,
+        244.90651512268164,
+        278.7108683725077,
+        257.7622673164124,
+        294.47108344464215,
+        273.08315617879197,
+        312.2912139284095,
+        286.72312338004195,
+        327.3854055328649,
+        301.5860198895898,
+        345.04435739004344,
+        318.1667713406906,
+        361.81776874895195,
+        336.83837987063464,
+        379.7936496749353,
+        354.658510354402,
+        398.70402118692164,
+        369.97939921678153,
+        418.4001762471658,
+        387.2999072924703,
+        437.0717847771098,
+        406.5251412112367,
+        456.70432844606313,
+        426.5220951143645,
+        476.6769191411546,
+        446.3274564891959,
+        496.6282001463511,
+        465.6459730149773,
+        515.8534340651174,
+        485.5972540201738,
+        535.7438719724829,
+        505.4876919275393,
+        555.5492333473143,
+        525.241458739442,
+        574.8677498730956,
+        545.2140494345335,
+        593.1386590259476,
+        564.9678162464363,
+        612.7712026949009,
+        583.7616686621545,
+        631.042111847753,
+        603.65210656952,
+        650.7958786596557,
+        623.2150585841962,
+        669.3395557509915,
+        642.2361889100993,
+        686.8319498937794,
+        659.3795349241415,
+        701.6948464033273,
+        677.3554158501248,
+        719.1872405461153,
+        696.7613303756448,
+        733.8143145784987,
+        715.0322395284968,
+        750.1973554642785,
+        731.9932014516253,
+        765.5182443266581,
+        746.6202754840087,
+        777.8314738331712,
+        759.7414560638189,
+        788.4298591178353,
+        770.6342367641195,
+        801.5510396976455,
+        783.7554173439296,
+        811.8518011958465,
+        793.7554173439296,
+        817.3645483121865,
+        806.0686468504427,
+        825.1791708819719,
+        814.2033797119587,
+        836.6506996089928,
+        825.3872377813736,
+        845.7305096037837,
+        833.5219706428896,
+        851.5779436982384,
+        837.3381505504206,
+        853.6685129635915,
+        843.8495136395637,
+        858.8448938656419,
+        853.5457060444904,
+        866.0122528565479,
+        859.7260459319893,
+        870.5112739434252,
+        862.1634328000923,
+        872.2543887983784,
+        859.379970780891,
+        871.9053406696327,
+        861.1230856358442,
+        867.7471068532775,
+        867.6344487249874,
+        859.932484283492,
+        871.4506286325183,
+        855.7742504671369,
+        871.4506286325183,
+        848.9338476006235,
+        869.0132417644153,
+        846.1503855814221,
+        861.5211098960971,
+        841.6513644945449,
+        850.6283291957965,
+        835.1400014054017,
+        843.7879263292831,
+        826.3725784696201,
+        834.3984950735653,
+        815.4797977693195,
+        822.6427900277158,
+        801.3376621455885,
+        814.8281674579304,
+        788.4819099518577,
+        804.2297821732662,
+        772.9389907227182,
+        791.1086015934561,
+        758.7968550989873,
+        779.9247435240412,
+        747.9040743986867,
+        766.8035629442311,
+        735.0483222049559,
+        750.6232230567322,
+        720.6615261981829,
+        737.502042476922,
+        704.9013111260484,
+        721.1190015911423,
+        686.6304019731964,
+        706.7322055843692,
+        667.5043068539356,
+        690.1514541332684,
+        649.0942097848869,
+        671.4798456033244,
+        629.6882952593669,
+        654.1593375276357,
+        611.0166867294229,
+        635.6156604362999,
+        591.2629199175201,
+        615.9195053760558,
+        572.4690675018019,
+        596.6942714572895,
+        552.7729124415578,
+        579.3737633816007,
+        533.646817322297,
+        560.3526330556977,
+        514.0142736533437,
+        540.7200893867443,
+        494.1238357459782,
+        520.7474986916528,
+        474.4912920770249,
+        501.34158416613286,
+        454.51870138193345,
+        481.35376762575095,
+        434.56742037673695,
+        461.6576125655068,
+        415.5462900508339,
+        443.38670341265475,
+        397.1361929817851,
+        423.632936600752,
+        379.47724112460656,
+        405.36202744789995,
+        359.98983982890184,
+        385.60826063599717,
+        342.0139589029185,
+        367.33735148314514,
+        324.8706128888762,
+        348.21125636388444,
+        310.4838168821032,
+        330.2353754379011,
+        294.30347699460424,
+        314.0550355504021,
+        275.6318684646602,
+        295.7841263975501,
+        258.6709065415317,
+        278.4636183218613,
+        245.03093934028172,
+        264.0768223150883,
+        234.73017784208062,
+        253.7760608168872,
+        222.41694833556747,
+        240.92030862315642,
+        213.64952539978592,
+        230.92030862315642,
+        209.83334549225503,
+        219.44877989613548,
+        203.9859113978003,
+        211.31404703461948,
+        196.49377952948205,
+        201.01328553641838,
+        184.7380744836326,
+        193.52115366810014,
+        175.04188207870587,
+        190.73769164889882,
+        168.53051898956272,
+        183.89728878238543,
+        165.4018296887581,
+        182.15417392743225,
+        166.44854881361698,
+        175.3137710609189,
+        165.05341933873447,
+        172.1850817601143,
+        167.49080620683742,
+        172.8830716941643,
+        173.0035533231774,
+        169.06689178663342,
+        176.81973323070832,
+        170.1136109114923,
+        175.4246037558258,
+        173.9297908190232,
+        177.16771861077896,
+        181.74441338880865,
+        181.66673969765625,
+        187.25716050514865,
+        190.4341626334378,
+        189.6945473732516,
+        203.2899148271686,
+        194.1935684601289,
+        212.05733776295014,
+        203.58299971584668,
+        223.52886648997105,
+        215.33870476169614,
+        233.22505889489778,
+        224.72813601741393,
+        245.81146671589454,
+        236.19966474443484,
+        260.90565832034997,
+        249.8396319456848,
+        274.54562552159996,
+        261.31116067270574,
+        290.3058405937344,
+        274.1669128664365,
+        304.6926366005074,
+        288.7939868988199,
+        321.65359852363594,
+        306.1144949745087,
+        336.51649503318384,
+        321.20868657896415,
+        354.3366255169512,
+        338.7010807217521,
+        370.51696540445016,
+        354.0219695841316,
+        388.1759172616287,
+        370.4050104699115,
+        407.49443378741006,
+        389.0766189998555,
+        427.49443378741006,
+        408.8819803746869,
+        446.9818350831148,
+        427.6758327904051,
+        466.95442577820626,
+        447.3083764593584,
+        486.7597871530377,
+        467.19881436672387,
+        506.6107101858641,
+        487.17140506181534,
+        526.5011480932295,
+        506.8675601220595,
+        546.452429098426,
+        526.8645140251873,
+        566.2577904732574,
+        546.7549519325528,
+        586.1816844350923,
+        565.9801858513192,
+        605.307779554353,
+        585.9771397544471,
+        622.2687414774815,
+        605.7825011292784,
+        640.8124185688173,
+        625.2699024249831,
+        660.4449622377706,
+        644.1802739369695,
+        679.1165707677146,
+        661.1412358600979,
+        696.6089649105026,
+        680.0516073720843,
+        710.9957609172756,
+        697.8717378558516,
+        727.1761008047745,
+        713.4146570849911,
+        740.0318529985052,
+        726.5358376648012,
+        756.004563199451,
+        742.7161775523001,
+        768.3177927059642,
+        756.60934496148,
+        782.9448667383476,
+        767.2077302461441,
+        793.8376474386482,
+        779.2440307091852,
+        801.6522700084337,
+        787.3787635707012,
+        813.1237987354546,
+        798.850292297722,
+        820.2911577263606,
+        813.9444839021775,
+        830.5919192245616,
+        825.1283419715924,
+        837.432322091075,
+        831.6397050607355,
+        842.6087029931253,
+        834.4231670799369,
+        843.3066929271754,
+        841.9152989482551,
+        846.43538222798,
+        844.3526858163581,
+        845.7373922939299,
+        850.8640489055012,
+        846.7841114187888,
+        852.2591783803838,
+        850.942345235144,
+        851.5611884463337,
+        851.640335169194,
+        855.0341519996723,
+        847.1413140823167,
+        855.3832001284179,
+        845.3981992273635,
+        852.9458132603149,
+        841.5820193198326,
+        848.4467921734376,
+        834.7416164533192,
+        839.9944269386236,
+        825.9741935175377,
+        835.1559890266303,
+        819.4628304283946,
+        828.6446259374871,
+        810.3830204336036,
+        819.2551946817694,
+        797.5272682398728,
+        813.0748547942704,
+        786.0557395128519,
+        803.0748547942704,
+        772.162572103672,
+        791.6033260672496,
+        761.5641868190079,
+        778.2207139400724,
+        746.9371127866244,
+        767.0368558706575,
+        734.9008123235834,
+        753.3968886694075,
+        721.2608451223334,
+        738.5339921598596,
+        704.8778042365536,
+        720.7138616760923,
+        687.0576737527863,
+        703.7528997529638,
+        667.5702724570816,
+        689.1258257205803,
+        648.8986639271376,
+        671.4668738634018,
+        631.2397120699591,
+        653.056776794353,
+        612.3293405579727,
+        633.5693754986484,
+        592.6331854977286,
+        615.593494572665,
+        574.3622763448766,
+        596.6831230606787,
+        554.6085095329738,
+        576.8777616858473,
+        534.611555629846,
+        557.4718471603273,
+        514.7606325970195,
+        537.666485785496,
+        494.95527122218806,
+        517.6786692451141,
+        475.0648333148226,
+        497.9825141848699,
+        455.43228964586933,
+        477.9855602817421,
+        437.30613390513633,
+        458.2317934698393,
+        417.9002193796164,
+        439.68811637850354,
+        399.62931022676435,
+        419.93434956660076,
+        380.06635821208823,
+        400.6158330408194,
+        361.04522788618516,
+        383.2953249651306,
+        342.63513081713637,
+        365.02441581227856,
+        324.97617895995785,
+        347.70390773658977,
+        309.2159638878234,
+        328.4786738178234,
+        297.17966342478246,
+        309.80706528787937,
+        282.08547182032703,
+        293.22631383677856,
+        265.7024309345472,
+        277.905424974399,
+        252.31981880737,
+        265.3190171534023,
+        235.73906735626917,
+        250.4561206438544,
+        222.356455229092,
+        238.70041559800495,
+        211.17259715967708,
+        230.24805036319097,
+        202.09278716488615,
+        217.93482085667782,
+        197.25434925289278,
+        201.96211065573195,
+        189.43972668310732,
+        188.322143454482,
+        178.8413413984432,
+        178.9327121987642,
+        171.6739824075372,
+        172.42134910962105,
+        169.2365955394343,
+        167.92232802274376,
+        164.39815762744092,
+        167.22433808869374,
+        155.94579239262694,
+        162.04795718664334,
+        150.0983582981722,
+        159.61057031854043,
+        149.4003683641222,
+        161.7011395838935,
+        153.55860218047738,
+        158.9176775646922,
+        154.60532130533628,
+        161.0082468300453,
+        160.11806842167627,
+        159.26513197509215,
+        162.20863768702935,
+        162.04859399429347,
+        169.37599667793538,
+        161.6995458655478,
+        173.53423049429057,
+        165.5157257730787,
+        180.04559358343369,
+        173.3303483428642,
+        188.1803264449497,
+        178.50672924491462,
+        200.2166269079907,
+        187.58653923970556,
+        207.70875877630894,
+        191.74477305606075,
+        217.70875877630894,
+        197.9251129435597,
+        230.0219882828221,
+        206.05984580507572,
+        238.15672114433812,
+        218.0961462681167,
+        250.46995065085127,
+        233.41703513049626,
+        264.8567466576243,
+        246.79964725767343,
+        282.3491408004122,
+        262.7723574586193,
+        298.3218510013581,
+        276.66552486779926,
+        316.7319480704069,
+        291.7597164722547,
+        334.3908999275854,
+        309.57984695602204,
+        350.1511149997198,
+        325.9628878418019,
+        368.2772707404528,
+        343.2833959174907,
+        383.59815960283237,
+        361.5543050703427,
+        401.2571114600109,
+        381.04170636604744,
+        419.9287199899549,
+        399.58538345738316,
+        439.1539539087213,
+        416.7287294714254,
+        459.1052349139178,
+        435.5225818871436,
+        478.95615794674427,
+        454.84109841292496,
+        498.9439744871262,
+        474.79237941812147,
+        518.7948975199527,
+        494.743660423318,
+        538.600258894784,
+        514.6675543851529,
+        557.7263540140448,
+        534.4729157599843,
+        577.3588976829981,
+        554.4241967651808,
+        597.3314883780896,
+        574.0567404341341,
+        617.0276434383337,
+        592.9671119461204,
+        636.2528773571,
+        612.5996556150737,
+        654.924485887044,
+        631.0097526841225,
+        671.3075267728238,
+        650.1358478033833,
+        690.1013791885421,
+        667.456355879072,
+        706.6821306396429,
+        685.727265031924,
+        722.2250498687823,
+        703.219659174712,
+        734.2613503318232,
+        718.5405480370915,
+        747.6439624590004,
+        736.19949989427,
+        763.1868816881398,
+        752.9729112531785,
+        779.7676331392406,
+        767.8358077627264,
+        794.861824743696,
+        780.9569883425365,
+        806.045682813111,
+        789.724411278318,
+        814.8131057488924,
+        802.0376407848312,
+        827.9342863287026,
+        812.6360260694953,
+        838.2350478269036,
+        820.7707589310113,
+        844.4153877144025,
+        833.0839884375245,
+        847.5440770152071,
+        843.0839884375245,
+        854.7114360061131,
+        850.8986110073099,
+        859.8878169081635,
+        854.3715745606485,
+        861.9783861735166,
+        859.8843216769884,
+        858.849696872712,
+        860.9310408018473,
+        860.2448263475945,
+        864.7472207093782,
+        864.7438474344718,
+        865.7939398342371,
+        866.1389769093544,
+        863.0104778150358,
+        862.3227970018235,
+        863.3595259437814,
+        853.5553740660418,
+        861.6164110888282,
+        846.3880150751359,
+        855.7689769943734,
+        843.6045530559345,
+        854.3738475194908,
+        843.6045530559345,
+        850.9008839661523,
+        838.7661151439412,
+        843.408752097834,
+        829.0699227390145,
+        831.6530470519846,
+        816.4835149180177,
+        823.8384244821991,
+        807.0940836622999,
+        820.0222445746682,
+        795.0577831992589,
+        811.5698793398542,
+        781.164615790079,
+        800.0983506128333,
+        770.5662305054149,
+        787.2425984191025,
+        758.2530009989017,
+        772.148406814647,
+        742.9321121365222,
+        760.112106351606,
+        725.78876612248,
+        745.9699707278751,
+        710.2458468933405,
+        730.2097556557407,
+        697.9326173868274,
+        712.7173615129527,
+        683.3055433544439,
+        696.3343206271729,
+        666.5321319955355,
+        678.6753687699944,
+        648.8731801383569,
+        661.901957411086,
+        629.3857788426523,
+        643.1081049953677,
+        609.3888249395244,
+        623.4755613264144,
+        590.1635910207581,
+        605.3494055856814,
+        570.2396970589232,
+        585.7168619167281,
+        550.9211805331419,
+        567.1731848253924,
+        530.9485898380503,
+        547.6102328107163,
+        511.63007331226896,
+        529.790102326949,
+        491.63007331226896,
+        510.3027010312442,
+        471.99752964331566,
+        490.3148844908623,
+        453.2036772275975,
+        470.9089699653424,
+        433.4499104156947,
+        450.9120160622146,
+        415.03981334664593,
+        431.2794723932613,
+        395.4768613319698,
+        412.6078638633173,
+        376.5664898199835,
+        392.75694083049086,
+        357.00353780530736,
+        373.63084571123017,
+        337.9824074794043,
+        355.6549647852468,
+        321.2089961204958,
+        336.63383445934375,
+        306.5819220881124,
+        319.31332638365495,
+        290.19888120233253,
+        302.9302854978751,
+        275.5718071699491,
+        287.8360938934197,
+        262.71605497621835,
+        275.2496860724229,
+        246.5357150887194,
+        259.48947100028846,
+        232.1489190819464,
+        245.3473353765575,
+        219.02773850213623,
+        233.31103491351655,
+        208.1349578018357,
+        224.23122491872562,
+        198.74552654611787,
+        212.19492445568466,
+        193.56914564406745,
+        203.74255922087067,
+        186.40178665316142,
+        198.9041213088773,
+        183.6183246339601,
+        190.13669837309575,
+        178.44194373190967,
+        185.63767728621843,
+        178.44194373190967,
+        178.4703182953124,
+        174.6257638243788,
+        173.29393739326198,
+        174.27671569563313,
+        172.2472182684031,
+        171.14802639482852,
+        167.74819718152577,
+        170.4500364607785,
+        165.6576279161727,
+        172.88742332888145,
+        168.7863172169773,
+        177.38644441575875,
+        166.6957479516242,
+        177.7354925445044,
+        168.43886280657736,
+        182.9118734465548,
+        174.95022589572048,
+        191.3642386813688,
+        185.25098739392155,
+        198.20464154788218,
+        191.76235048306467,
+        207.59407280359997,
+        202.6551311833652,
+        218.4868535039005,
+        210.46975375315066,
+        224.99821659304362,
+        220.77051525135172,
+        233.76563952882518,
+        229.53793818713328,
+        244.6584202291257,
+        242.12434600813003,
+        256.9716497356389,
+        250.25907886964603,
+        272.94435993658476,
+        262.5723083761592,
+        291.4880370279205,
+        277.4352048857071,
+        307.46074722886635,
+        294.2086162446156,
+        324.78125530455515,
+        309.96883131675,
+        340.5414703766896,
+        327.9447122427334,
+        357.3148817355981,
+        344.12505213023235,
+        375.9864902655421,
+        361.6174462730203,
+        395.392404791062,
+        379.8883554258723,
+        413.518560531795,
+        399.014450545133,
+        432.8370770575764,
+        417.4245476141818,
+        452.6424384324078,
+        437.12070267442596,
+        471.43629084812596,
+        455.6643797657617,
+        490.9236921438307,
+        474.98289629154306,
+        510.9236921438307,
+        494.9554869866345,
+        530.6198472040749,
+        514.8793809484695,
+        550.5924378991664,
+        534.4423329631456,
+        570.5650285942579,
+        554.4423329631456,
+        589.9709431197779,
+        573.9297342588503,
+        607.4633372625658,
+        592.4734113501861,
+        626.1349457925098,
+        612.1695664104302,
+        643.278291806552,
+        630.8411749403742,
+        661.5492009594041,
+        647.224215826154,
+        677.9322418451839,
+        666.0180682418722,
+        696.3423389142326,
+        683.1614142559145,
+        712.9230903653335,
+        701.7050913472502,
+        727.7859868748814,
+        718.8484373612924,
+        745.1064949505701,
+        734.8211475622383,
+        759.4932909573431,
+        748.7143149714182,
+        770.964819684364,
+        760.7506154344592,
+        784.8579870935439,
+        774.6437828436391,
+        796.3295158205648,
+        784.3399752485658,
+        803.1699186870782,
+        796.3762757116068,
+        814.0626993873788,
+        806.0724681165335,
+        820.9031022538921,
+        817.2563261859484,
+        830.2925335096099,
+        824.4236851768544,
+        834.7915545964872,
+        835.0220704615185,
+        843.2439198313012,
+        841.8624733280319,
+        846.7168833846398,
+        845.3354368813705,
+        846.3678352558941,
+        846.0334268154205,
+        848.4584045212472,
+        849.1621161162251,
+        848.8074526499928,
+        847.7669866413426,
+        850.8980219153459,
+        848.4649765753926,
+        847.7693326145413,
+        847.4182574505337,
+        849.1644620894239,
+        851.5764912668889,
+        846.7270752213209,
+        851.2274431381431,
+        840.2157121321777,
+        847.069209321788,
+        829.9149506339767,
+        838.3017863860065,
+        823.0745477674633,
+        832.1214464985076,
+        814.3071248316818,
+        823.6690812636936,
+        803.4143441313813,
+        813.3683197654925,
+        795.5997215615959,
+        805.5536971957071,
+        783.5634210985548,
+        793.2404676891939,
+        769.4212854748239,
+        782.3476869888934,
+        759.4212854748239,
+        769.2265064090833,
+        745.528118065644,
+        753.2537962081375,
+        729.5554078646982,
+        738.3908996985896,
+        715.4132722409672,
+        726.6351946527401,
+        698.8325207898664,
+        712.0081206203566,
+        680.4224237208176,
+        694.3491687631781,
+        663.6490123619092,
+        674.9432542376582,
+        645.2389152928604,
+        656.0328827256718,
+        625.6759632781843,
+        639.452131274571,
+        607.1322861868485,
+        620.6582788588528,
+        588.0061910675878,
+        604.077527407752,
+        568.0183745272059,
+        585.5338503164162,
+        548.2130131523745,
+        565.9013066474629,
+        528.8944966265932,
+        545.913490107081,
+        508.9432156213967,
+        526.5949735812997,
+        489.45581432569196,
+        506.7045356739342,
+        469.60489129286555,
+        486.8140977665687,
+        450.8110388771474,
+        466.8902038047338,
+        431.24808686247127,
+        447.8690734788307,
+        411.3576489551058,
+        428.17291841858656,
+        391.87024765940106,
+        408.2003277234951,
+        373.74409191866806,
+        388.3949663486637,
+        358.2011726895287,
+        369.72335781871965,
+        340.0750169487957,
+        352.2309636759317,
+        320.51206493411956,
+        335.84792279015187,
+        302.1019678650708,
+        320.985026280604,
+        284.9586218510285,
+        304.0240643574755,
+        269.8644302465731,
+        289.88192873374453,
+        257.8281297835321,
+        273.90921853279866,
+        242.50724092115254,
+        260.78803795298853,
+        228.86727371990258,
+        245.6938463485331,
+        219.4778424641848,
+        233.10743852753635,
+        208.58506176388426,
+        222.2146578272358,
+        200.45032890236826,
+        208.83204570005864,
+        189.85194361770414,
+        198.83204570005867,
+        181.39957838289016,
+        192.98461160560393,
+        177.241344566535,
+        183.59518034988614,
+        171.39391047208025,
+        178.41879944783574,
+        169.99878099719774,
+        168.722607042909,
+        165.84054718084258,
+        161.23047517459077,
+        156.76073718605164,
+        157.0722413582356,
+        150.2493740969085,
+        156.02552223337673,
+        148.854244622026,
+        159.49848578671535,
+        149.20329275077165,
+        160.54520491157425,
+        151.98675476997298,
+        158.10781804347133,
+        159.80137733975846,
+        158.456866172217,
+        165.31412445609845,
+        161.5855554730216,
+        168.09758647529978,
+        166.42399338501494,
+        174.6089495644429,
+        176.1201857899417,
+        183.06131479925688,
+        181.29656669199213,
+        188.2376957013073,
+        183.0396815469453,
+        196.69006093612128,
+        186.8558614544762,
+        208.72636139916227,
+        192.70329554893095,
+        218.42255380408903,
+        202.39948795385772,
+        231.2783059978198,
+        214.4357884168987,
+        246.1412025073677,
+        229.75667727927825,
+        258.1775029704087,
+        242.61242947300903,
+        273.0403994799566,
+        257.4753259825569,
+        290.5327936227445,
+        273.85836686833676,
+        305.62698522719995,
+        288.7212633778846,
+        316.8108432966149,
+        304.9016032653836,
+        329.93202387642503,
+        322.5605551225621,
+        344.55909790880844,
+        338.10347435170155,
+        362.05149205159637,
+        356.0793552776849,
+        381.4574065771163,
+        374.98972678967124,
+        401.38130053895117,
+        392.64867864684976,
+        420.60653445771754,
+        411.05877571589855,
+        440.3603012696203,
+        430.46469024141845,
+        460.3572551727481,
+        450.2700516162499,
+        480.1110219846509,
+        470.2578681566318,
+        500.0623029898474,
+        489.57638468241316,
+        519.7584580500916,
+        509.57638468241316,
+        539.7097390552881,
+        529.3817460572445,
+        559.633633017123,
+        549.3695625976264,
+        579.1210343128276,
+        568.5947965163928,
+        597.9148867285459,
+        588.5917504195206,
+        617.2334032543272,
+        608.2879054797647,
+        634.8923551115057,
+        627.4140005990255,
+        653.5639636414497,
+        644.374962522154,
+        670.7073096554919,
+        663.1688149378722,
+        689.1174067245407,
+        680.6612090806601,
+        705.6981581756415,
+        695.9820979430397,
+        723.6740391016249,
+        712.9430598661681,
+        740.2547905527257,
+        730.7631903499355,
+        755.7977097818651,
+        747.3439418010363,
+        769.690877191045,
+        760.4651223808464,
+        781.1624059180659,
+        776.4378325817922,
+        794.5450180452431,
+        789.2935847755231,
+        806.5813185082841,
+        800.1863654758237,
+        814.0734503766023,
+        808.6387307106377,
+        825.5449791036232,
+        820.1102594376586,
+        833.3596016734086,
+        830.1102594376586,
+        838.8723487897486,
+        838.2449922991746,
+        847.6397717255301,
+        844.0924263936292,
+        854.4801745920435,
+        848.2506602099844,
+        857.953138145382,
+        854.4310000974833,
+        858.3021862741276,
+        858.5892339138385,
+        860.7395731422306,
+        859.984363388721,
+        866.5870072366853,
+        866.4957264778642,
+        869.0243941047883,
+        868.2388413328174,
+        868.6753459760425,
+        866.8437118579349,
+        864.8591660685116,
+        863.3707483045963,
+        858.6788261810127,
+        856.2033893136903,
+        855.5501368802081,
+        852.3872094061594,
+        848.0580050118899,
+        852.3872094061594,
+        842.54525789555,
+        847.5487714941661,
+        834.092892660736,
+        840.7083686276527,
+        823.2001119604354,
+        830.4076071294517,
+        815.3854893906499,
+        821.9552418946377,
+        804.7871041059858,
+        810.4837131676168,
+        791.931351912255,
+        802.9915812992986,
+        783.1639289764734,
+        792.6908198010975,
+        771.9800709070585,
+        780.1044119801007,
+        759.1243187133276,
+        764.7835231177212,
+        743.5813994841882,
+        746.8076421917378,
+        726.2608914084994,
+        731.7134505872824,
+        712.1187557847685,
+        717.8202831781025,
+        695.5380043336677,
+        701.4372422923227,
+        676.6276328216813,
+        683.7782904351442,
+        659.8542214627729,
+        664.984438019426,
+        641.4441243937241,
+        647.0085570934426,
+        622.3180292744634,
+        628.2147046777244,
+        602.6218742142192,
+        610.238823751741,
+        583.6007438883162,
+        591.4449713360228,
+        563.8469770764134,
+        571.5940483031964,
+        544.5284605506321,
+        552.36881438443,
+        524.832305490388,
+        532.3809978440481,
+        506.4222084213392,
+        513.0624813182668,
+        486.6684416094364,
+        493.36632625802264,
+        468.2583445403876,
+        474.4559547460363,
+        448.93982801460623,
+        455.0500402205164,
+        429.04939010724075,
+        435.244678845685,
+        409.05243620411295,
+        415.75727754998024,
+        389.41989253515965,
+        397.0856690200362,
+        370.8762154438239,
+        377.76715249425484,
+        351.0708540689925,
+        357.7945617991634,
+        331.7523375432111,
+        338.30716050345865,
+        313.34224047416234,
+        320.3312795774753,
+        296.1988944601201,
+        305.23708797301987,
+        281.57182042773667,
+        291.3439205638399,
+        269.2585909212235,
+        275.37121036289403,
+        254.6315168888401,
+        261.9885982357169,
+        244.03313160417602,
+        249.95229777267593,
+        230.13996419499608,
+        235.81016214894498,
+        220.44377179006935,
+        225.2117768642809,
+        213.27641279916332,
+        218.37137399776753,
+        202.97565130096223,
+        209.2915640029766,
+        196.46428821181908,
+        196.70515618197985,
+        187.07485695610126,
+        187.0089637770531,
+        181.22742286164652,
+        180.82862388955417,
+        177.41124295411564,
+        176.32960280267685,
+        169.59662038433015,
+        173.54614078347552,
+        163.4162804968312,
+        172.8481508494255,
+        161.32571123147812,
+        169.3751872960869,
+        163.41628049683118,
+        169.02613916734123,
+        169.26371459128592,
+        170.76925402229438,
+        170.65884406616843,
+        167.64056472148977,
+        173.78753336697304,
+        167.98961285023543,
+        179.96787325447198,
+        172.82805076222877,
+        182.05844251982504,
+        179.3394138513719,
+        187.90587661427978,
+        189.64017534957296,
+        195.39800848259802,
+        196.15153843871607,
+        206.58186655201297,
+        206.74992372338016,
+        214.71659941352897,
+        214.2420555916984,
+        227.02982892004212,
+        225.7135843187193,
+        234.84445148982758,
+        234.48100725450087,
+        246.88075195286854,
+        244.78176875270194,
+        260.7739193620485,
+        256.81806921574287,
+        276.74662956299437,
+        270.45803641699285,
+        290.1292416901715,
+        286.8410773027727,
+        306.30958157767043,
+        301.93526890722814,
+        324.2854625036538,
+        318.516020358329,
+        341.0588738625623,
+        336.1749722155075,
+        359.46897093161107,
+        355.1961025414106,
+        375.2291860037455,
+        373.4670116942626,
+        392.19014792687403,
+        389.64735158176154,
+        410.31630366760703,
+        407.77350732249454,
+        429.94884733656033,
+        427.40605099144784,
+        449.93666387694225,
+        447.2964888988133,
+        469.86055783877714,
+        466.422584018074,
+        489.66591921360856,
+        486.3130219254395,
+        509.55635712097404,
+        506.3130219254395,
+        529.480251082809,
+        525.7189364509594,
+        549.3311741156355,
+        545.6428304127943,
+        569.3189906560174,
+        565.5332683201598,
+        589.1243520308487,
+        585.4237062275253,
+        608.4428685566301,
+        604.6489401462916,
+        626.1018204138086,
+        622.4690706300589,
+        645.5892217095133,
+        641.140679160003,
+        664.3830741252315,
+        657.7214306111038,
+        681.7035822009202,
+        675.3803824682823,
+        697.2465014300597,
+        694.4015127941854,
+        710.6291135572368,
+        711.1749241530938,
+        725.9500024196163,
+        726.4958130154733,
+        743.2705104953051,
+        738.2515180613228,
+        759.653551381085,
+        753.3457096657783,
+        774.040347387858,
+        765.1014147116277,
+        787.1615279676681,
+        779.7284887440112,
+        796.5509592233859,
+        790.3268740286753,
+        804.3655817931714,
+        804.7136700354483,
+        813.7550130488892,
+        815.8975281048632,
+        820.9223720397952,
+        825.5937205097899,
+        830.0021820345861,
+        831.4411546042446,
+        836.182521922085,
+        840.8305858599624,
+        837.5776513969676,
+        846.0069667620128,
+        841.3938313044985,
+        849.4799303153513,
+        849.2084538742839,
+        850.1779202494014,
+        851.9919158934853,
+        854.3361540657565,
+        852.3409640222309,
+        856.0792689207098,
+        849.9035771541279,
+        853.2958069015084,
+        849.9035771541279,
+        853.9937968355584,
+        846.4306136007893,
+        850.1776169280275,
+        846.4306136007893,
+        842.3629943582421,
+        841.254232698739,
+        837.8639732713648,
+        833.119499837223,
+        829.4116080365508,
+        826.6081367480798,
+        824.9125869496735,
+        815.4242786786649,
+        815.8327769548825,
+        808.9129155895217,
+        810.3200298385426,
+        800.4605503547077,
+        800.6238374336159,
+        787.6047981609769,
+        789.152308706595,
+        778.524988166186,
+        776.0311281267849,
+        765.6692359724551,
+        766.3349357218582,
+        749.2861950866753,
+        754.2986352588172,
+        735.6462278854253,
+        738.7557160296777,
+        720.7833313758774,
+        720.4848068768257,
+        703.4628233001887,
+        702.9924127340378,
+        689.0760272934157,
+        687.4494935048983,
+        671.5836331506277,
+        670.8687420537975,
+        653.039956059292,
+        652.4586449847487,
+        633.2345946844606,
+        633.4375146588457,
+        613.8286801589406,
+        613.6321532840143,
+        595.0348277432224,
+        594.9605447540703,
+        575.3386726829783,
+        575.5546302285503,
+        556.5448202672601,
+        555.8008634166475,
+        537.1389057417401,
+        536.6747682973868,
+        517.2150117799052,
+        516.921001485484,
+        498.08891666064454,
+        496.9971075236491,
+        478.16502269880965,
+        477.0458265184526,
+        458.1924320037182,
+        457.9197313991919,
+        438.20461546333627,
+        438.0292934918264,
+        418.5084604030921,
+        419.23544107610826,
+        399.2832264843257,
+        399.8295265505883,
+        381.4630960005584,
+        382.00939606682095,
+        362.144579474777,
+        363.4657189754852,
+        343.472970944833,
+        346.50475705235664,
+        326.51200902170444,
+        327.8331485224126,
+        311.6491125121566,
+        310.3407543796247,
+        295.6764023112107,
+        295.01986551724514,
+        283.089994490214,
+        282.706636010732,
+        269.19682708103403,
+        266.7339258097861,
+        253.01648719353508,
+        253.61274522997599,
+        239.63387506635792,
+        237.22970434419614,
+        227.59757460331696,
+        224.108523764386,
+        219.7829520335315,
+        212.92466569497108,
+        208.02724698768205,
+        203.22847329004435,
+        193.64045098090904,
+        196.06111429913835,
+        183.04206569624492,
+        186.06111429913838,
+        176.20166282973156,
+        179.88077441163944,
+        174.4585479747784,
+        175.72254059528427,
+        168.27820808727947,
+        169.21117750614113,
+        164.80524453394088,
+        158.612792221477,
+        165.85196365879978,
+        149.53298222668607,
+        163.41457679069686,
+        142.69257936017272,
+        156.5741739241835,
+        139.90911734097142,
+        151.3977930221331,
+        140.25816546971708,
+        148.26910372132846,
+        143.3868547705217,
+        147.9200555925828,
+        149.8982178596648,
+        150.35744246068575,
+        159.8982178596648,
+        155.87018957702574,
+        168.3505830944788,
+        163.68481214681123,
+        174.19801718893353,
+        173.07424340252905,
+        174.89600712298355,
+        183.96702410282958,
+        179.05424093933874,
+        190.80742696934297,
+        186.86886350912422,
+        199.57484990512452,
+        197.46724879378831,
+        209.87561140332562,
+        210.05365661478507,
+        224.01774702705657,
+        224.19579223851602,
+        235.20160509647152,
+        236.50902174502917,
+        248.0573572902023,
+        250.14898894627913,
+        263.3782461525819,
+        266.3293288337781,
+        280.52159216662415,
+        280.2224962429581,
+        295.38448867617205,
+        292.80890406395486,
+        306.2772693764726,
+        308.1297929263344,
+        320.17043678565256,
+        325.62218706912233,
+        336.94384814456106,
+        344.9407035949037,
+        355.7377005602792,
+        362.59965545208223,
+        375.3702442292325,
+        378.7799953395812,
+        393.91392132056825,
+        396.60012582334855,
+        413.47687333524436,
+        415.3939782390667,
+        433.44946403033583,
+        434.9569302537428,
+        453.14561909058,
+        454.9569302537428,
+        472.3708530093464,
+        474.2754467795242,
+        492.29474697118127,
+        494.2632633199061,
+        512.048513783084,
+        513.7506646156108,
+        532.0454676862119,
+        533.7384811559928,
+        551.741622746456,
+        553.7110718510843,
+        571.6929037516525,
+        573.0295883768656,
+        591.583341659018,
+        593.0174049172475,
+        610.254950188962,
+        612.5048062129522,
+        627.5754582646507,
+        630.914903282001,
+        645.9855553336995,
+        650.6110583422451,
+        662.3685962194793,
+        669.4049107579633,
+        680.3444771454626,
+        685.9856622090641,
+        699.0160856754067,
+        700.848558718612,
+        716.836216159174,
+        717.6219700775205,
+        731.9304077636294,
+        733.1648893066599,
+        744.7861599573603,
+        746.547501433837,
+        758.9282955810912,
+        762.5202116347829,
+        775.8892575042197,
+        775.641392214593,
+        790.5163315366032,
+        784.4088151503745,
+        803.8989436637803,
+        797.2645673441053,
+        813.2883749194981,
+        813.2372775450511,
+        817.7873960063754,
+        826.6198896722283,
+        827.1768272620932,
+        837.2182749568924,
+        838.6483559891141,
+        843.3986148443913,
+        848.6483559891141,
+        847.2147947519222,
+        856.4629785588995,
+        854.3821537428282,
+        859.5916678597041,
+        857.1656157620296,
+        858.5449487348452,
+        862.0040536740229,
+        860.2880635897984,
+        864.094622939376,
+        858.1974943244453,
+        864.4436710681216,
+        860.2880635897984,
+        861.6602090489203,
+        865.4644444918488,
+        860.9622191148702,
+        867.207559346802,
+        863.3996059829732,
+        866.1608402219431,
+        863.3996059829732,
+        862.6878766686045,
+        860.6161439637718,
+        856.8404425741497,
+        854.768709869317,
+        847.144250169223,
+        845.3792786135992,
+        841.9678692671727,
+        839.1989387261003,
+        832.5784380114549,
+        829.5027463211736,
+        820.5421375484138,
+        816.6469941274428,
+        812.0897723135998,
+        806.9508017225161,
+        802.0897723135998,
+        800.1103988560027,
+        790.3340672677504,
+        790.1103988560027,
+        774.7911480386109,
+        776.2172314468228,
+        762.2047402176141,
+        759.636479995722,
+        752.5085478126874,
+        744.3155911333424,
+        739.3873672328773,
+        731.1944105535323,
+        724.7602932004938,
+        715.4341954813979,
+        707.6169471864516,
+        697.1632863285458,
+        689.0732700951158,
+        681.6203670994064,
+        672.690229209336,
+        664.6594051762779,
+        655.1978350665481,
+        646.6835242502946,
+        636.6541579752123,
+        627.5574291310338,
+        617.335641449431,
+        607.6669912236683,
+        597.3843604442345,
+        588.348474697887,
+        578.2582653249738,
+        569.676866167943,
+        558.4073422921473,
+        550.3583496421617,
+        539.496970780161,
+        530.5074266093352,
+        519.6065328727955,
+        511.71357419361703,
+        500.5854025468924,
+        492.30765966809713,
+        480.6615085850575,
+        472.41722176073165,
+        460.96535352481334,
+        453.0987052349503,
+        440.9775369844314,
+        433.0987052349503,
+        421.5716224589115,
+        413.46616156599697,
+        403.7514919751442,
+        395.4902806400136,
+        384.7303616492411,
+        376.69642822429546,
+        364.75777095414963,
+        356.9426614123927,
+        345.00400414224686,
+        338.39898432105696,
+        325.9828738163438,
+        321.81823286995615,
+        309.2094624574353,
+        306.4973440075766,
+        293.66654322829584,
+        289.1768359318878,
+        280.5453626484857,
+        274.0826443274324,
+        264.36502276098673,
+        262.0463438643914,
+        249.97822675421372,
+        246.72545500201187,
+        237.94192629117276,
+        234.6891545389709,
+        229.80719342965676,
+        225.2997232832531,
+        220.11100102473003,
+        213.54401823740363,
+        206.2178336155501,
+        204.77659530162208,
+        195.32505291524956,
+        199.26384818528211,
+        188.15769392434353,
+        190.18403819049118,
+        183.99946010798834,
+        183.01667919958516,
+        176.5073282396701,
+        177.5039320832452,
+        171.66889032767673,
+        176.10880260836268,
+        171.66889032767673,
+        171.60978152148536,
+        167.85271042014585,
+        171.60978152148536,
+        168.55070035419587,
+        168.48109222068075,
+        166.4601310888428,
+        170.5716614860338,
+        167.1581210228928,
+        169.1765320111513,
+        169.9415830420941,
+        170.22325113601016,
+        174.4406041289714,
+        176.4035910235091,
+        183.83003538468918,
+        186.4035910235091,
+        190.99739437559518,
+        192.25102511796385,
+        193.43478124369813,
+        202.25102511796385,
+        199.94614433284124,
+        208.76238820710697,
+        210.54452961750533,
+        219.06314970530804,
+        219.3119525532869,
+        226.23050869621403,
+        231.34825301632785,
+        237.41436676562898,
+        239.80061825114183,
+        251.55650238935993,
+        250.98447632055678,
+        262.15488767402405,
+        265.12661194428773,
+        275.01063986775483,
+        280.6695311734272,
+        289.1527754914858,
+        297.25028262452804,
+        304.6956947206252,
+        311.87735665691145,
+        322.6715756466086,
+        329.53630851408997,
+        337.9924645089881,
+        344.6305001185454,
+        354.37550539476797,
+        361.21125156964627,
+        372.1956358785353,
+        380.1216230816326,
+        390.9894882942535,
+        399.6845750963087,
+        410.6220319632068,
+        418.35618362625274,
+        430.59462265829825,
+        437.91913564092886,
+        450.39998403312967,
+        457.8917263360203,
+        469.71850055891105,
+        477.6454931479231,
+        489.4722673708138,
+        497.5967741531196,
+        509.4448580659053,
+        517.487212060485,
+        528.4659883918084,
+        537.4111060223199,
+        548.2713497666398,
+        557.2620290551464,
+        568.2591663070217,
+        577.2498455955283,
+        588.2104473122182,
+        597.1007686283548,
+        607.8429909811715,
+        616.5881699240595,
+        626.3866680725073,
+        635.4985414360458,
+        643.3476299956358,
+        653.1574932932243,
+        661.4737857363688,
+        669.5405341790042,
+        681.0367377510449,
+        687.0329283217922,
+        698.8568682348123,
+        702.5758475509316,
+        713.7197647443602,
+        720.2347994081101,
+        729.692474945306,
+        734.8618734404936,
+        743.5856423544859,
+        750.8345836414394,
+        759.7659822419848
+    ],
+    "angle": [
+        -10,
+        -10,
+        -10,
+        0,
+        1,
+        9,
+        9,
+        17,
+        23,
+        29,
+        32,
+        36,
+        43,
+        49,
+        38,
+        43,
+        32,
+        48,
+        44,
+        38,
+        31,
+        46,
+        46,
+        41,
+        32,
+        36,
+        47,
+        30,
+        35,
+        38,
+        41,
+        45,
+        49,
+        52,
+        54,
+        66,
+        69,
+        56,
+        60,
+        62,
+        65,
+        69,
+        72,
+        75,
+        79,
+        70,
+        86,
+        82,
+        75,
+        77,
+        82,
+        71,
+        68,
+        78,
+        83,
+        90,
+        71,
+        77,
+        78,
+        82,
+        84,
+        75,
+        94,
+        81,
+        86,
+        73,
+        78,
+        82,
+        73,
+        77,
+        68,
+        64,
+        56,
+        54,
+        51,
+        66,
+        64,
+        54,
+        51,
+        44,
+        56,
+        54,
+        49,
+        41,
+        43,
+        46,
+        32,
+        52,
+        44,
+        38,
+        38,
+        25,
+        29,
+        35,
+        22,
+        20,
+        14,
+        26,
+        9,
+        18,
+        17,
+        11,
+        11,
+        21,
+        16,
+        16,
+        7,
+        7,
+        14,
+        -4,
+        3,
+        -17,
+        -11,
+        -4,
+        -4,
+        -17,
+        -10,
+        -4,
+        -16,
+        -16,
+        -23,
+        -22,
+        -17,
+        -29,
+        -28,
+        -19,
+        -21,
+        -28,
+        -28,
+        -43,
+        -20,
+        -38,
+        -33,
+        -31,
+        -38,
+        -40,
+        -45,
+        -52,
+        -57,
+        -44,
+        -47,
+        -57,
+        -52,
+        -49,
+        -60,
+        -54,
+        -54,
+        -61,
+        -66,
+        -68,
+        -72,
+        -78,
+        -64,
+        -70,
+        -74,
+        -82,
+        -84,
+        -73,
+        -73,
+        -81,
+        -81,
+        -76,
+        -76,
+        -89,
+        -84,
+        -96,
+        -94,
+        -106,
+        -104,
+        -96,
+        -112,
+        -107,
+        -103,
+        -101,
+        -108,
+        -112,
+        -113,
+        -104,
+        -105,
+        -113,
+        -114,
+        -120,
+        -124,
+        -131,
+        -131,
+        -122,
+        -122,
+        -128,
+        -130,
+        -139,
+        -138,
+        -145,
+        -133,
+        -136,
+        -141,
+        -141,
+        -147,
+        -153,
+        -141,
+        -146,
+        -156,
+        -139,
+        -141,
+        -154,
+        -151,
+        -162,
+        -159,
+        -171,
+        -166,
+        -157,
+        -159,
+        -164,
+        -174,
+        -178,
+        -184,
+        -172,
+        -176,
+        -187,
+        -168,
+        -179,
+        -176,
+        -187,
+        -184,
+        -197,
+        -193,
+        -186,
+        -201,
+        -197,
+        -193,
+        -206,
+        -203,
+        -195,
+        -194,
+        -206,
+        -199,
+        -211,
+        -204,
+        -219,
+        -213,
+        -210,
+        -225,
+        -220,
+        -234,
+        -227,
+        -227,
+        -219,
+        -222,
+        -227,
+        -234,
+        -232,
+        -229,
+        -245,
+        -223,
+        -238,
+        -237,
+        -248,
+        -244,
+        -256,
+        -236,
+        -247,
+        -241,
+        -257,
+        -250,
+        -248,
+        -260,
+        -254,
+        -270,
+        -263,
+        -265,
+        -271,
+        -256,
+        -258,
+        -268,
+        -268,
+        -260,
+        -275,
+        -252,
+        -262,
+        -261,
+        -248,
+        -250,
+        -260,
+        -263,
+        -253,
+        -249,
+        -248,
+        -260,
+        -235,
+        -247,
+        -246,
+        -241,
+        -236,
+        -231,
+        -231,
+        -240,
+        -240,
+        -230,
+        -234,
+        -238,
+        -221,
+        -227,
+        -226,
+        -213,
+        -214,
+        -225,
+        -209,
+        -219,
+        -221,
+        -207,
+        -213,
+        -214,
+        -201,
+        -219,
+        -209,
+        -208,
+        -199,
+        -202,
+        -185,
+        -192,
+        -197,
+        -183,
+        -204,
+        -195,
+        -191,
+        -183,
+        -177,
+        -190,
+        -182,
+        -179,
+        -176,
+        -172,
+        -165,
+        -187,
+        -178,
+        -180,
+        -167,
+        -169,
+        -173,
+        -159,
+        -159,
+        -149,
+        -165,
+        -158,
+        -151,
+        -153,
+        -163,
+        -146,
+        -154,
+        -158,
+        -143,
+        -146,
+        -134,
+        -137,
+        -142,
+        -146,
+        -137,
+        -133,
+        -125,
+        -138,
+        -133,
+        -129,
+        -121,
+        -123,
+        -128,
+        -113,
+        -122,
+        -120,
+        -113,
+        -129,
+        -119,
+        -121,
+        -105,
+        -116,
+        -97,
+        -101,
+        -109,
+        -112,
+        -116,
+        -101,
+        -110,
+        -86,
+        -100,
+        -95,
+        -91,
+        -105,
+        -82,
+        -97,
+        -75,
+        -89,
+        -82,
+        -76,
+        -67,
+        -83,
+        -76,
+        -71,
+        -71,
+        -76,
+        -60,
+        -62,
+        -66,
+        -75,
+        -60,
+        -63,
+        -50,
+        -49,
+        -64,
+        -57,
+        -58,
+        -70,
+        -49,
+        -63,
+        -42,
+        -48,
+        -31,
+        -39,
+        -46,
+        -30,
+        -38,
+        -42,
+        -30,
+        -31,
+        -18,
+        -18,
+        -28,
+        -26,
+        -38,
+        -37,
+        -26,
+        -26,
+        -16,
+        -11,
+        -10,
+        -4,
+        -2,
+        -17,
+        -10,
+        -23,
+        3,
+        -14,
+        -7,
+        -8,
+        4,
+        -3,
+        13,
+        3,
+        4,
+        16,
+        -1,
+        26,
+        8,
+        17,
+        15,
+        12,
+        26,
+        22,
+        19,
+        28,
+        32,
+        21,
+        40,
+        29,
+        31,
+        39,
+        40,
+        46,
+        32,
+        31,
+        39,
+        36,
+        47,
+        42,
+        61,
+        52,
+        56,
+        62,
+        44,
+        53,
+        59,
+        66,
+        64,
+        60,
+        76,
+        69,
+        67,
+        55,
+        72,
+        60,
+        63,
+        69,
+        76,
+        80,
+        81,
+        73,
+        74,
+        87,
+        79,
+        80,
+        87,
+        72,
+        77,
+        83,
+        84,
+        93,
+        79,
+        83,
+        74,
+        78,
+        80,
+        73,
+        75,
+        58,
+        68,
+        71,
+        54,
+        61,
+        68,
+        72,
+        53,
+        64,
+        43,
+        57,
+        51,
+        51,
+        42,
+        46,
+        48,
+        34,
+        38,
+        29,
+        43,
+        44,
+        33,
+        32,
+        24,
+        26,
+        34,
+        34,
+        22,
+        21,
+        16,
+        11,
+        7,
+        22,
+        16,
+        11,
+        6,
+        6,
+        12,
+        -3,
+        6,
+        10,
+        -6,
+        5,
+        -15,
+        -4,
+        -21,
+        -14,
+        -12,
+        -20,
+        -4,
+        -7,
+        -10,
+        -12,
+        -25,
+        -23,
+        -20,
+        -29,
+        -34,
+        -23,
+        -39,
+        -33,
+        -27,
+        -43,
+        -41,
+        -35,
+        -50,
+        -40,
+        -45,
+        -48,
+        -54,
+        -53,
+        -45,
+        -45,
+        -54,
+        -51,
+        -63,
+        -58,
+        -58,
+        -66,
+        -68,
+        -54,
+        -74,
+        -59,
+        -63,
+        -73,
+        -73,
+        -84,
+        -88,
+        -78,
+        -81,
+        -86,
+        -73,
+        -80,
+        -87,
+        -72,
+        -97,
+        -79,
+        -87,
+        -89,
+        -92,
+        -104,
+        -105,
+        -94,
+        -116,
+        -109,
+        -111,
+        -100,
+        -104,
+        -108,
+        -112,
+        -115,
+        -125,
+        -120,
+        -114,
+        -129,
+        -125,
+        -116,
+        -135,
+        -129,
+        -141,
+        -134,
+        -133,
+        -143,
+        -141,
+        -137,
+        -133,
+        -127,
+        -138,
+        -134,
+        -145,
+        -143,
+        -156,
+        -153,
+        -166,
+        -145,
+        -171,
+        -153,
+        -163,
+        -165,
+        -171,
+        -159,
+        -160,
+        -174,
+        -175,
+        -161,
+        -167,
+        -171,
+        -176,
+        -179,
+        -181,
+        -187,
+        -186,
+        -193,
+        -196,
+        -186,
+        -189,
+        -177,
+        -201,
+        -184,
+        -196,
+        -191,
+        -203,
+        -202,
+        -211,
+        -197,
+        -204,
+        -205,
+        -215,
+        -215,
+        -209,
+        -222,
+        -223,
+        -214,
+        -218,
+        -209,
+        -228,
+        -217,
+        -217,
+        -227,
+        -229,
+        -233,
+        -242,
+        -240,
+        -234,
+        -232,
+        -245,
+        -245,
+        -254,
+        -253,
+        -241,
+        -245,
+        -253,
+        -239,
+        -246,
+        -249,
+        -251,
+        -262,
+        -266,
+        -247,
+        -275,
+        -261,
+        -263,
+        -272,
+        -268,
+        -263,
+        -258,
+        -257,
+        -266,
+        -267,
+        -254,
+        -256,
+        -264,
+        -261,
+        -252,
+        -256,
+        -243,
+        -241,
+        -252,
+        -250,
+        -237,
+        -260,
+        -251,
+        -245,
+        -238,
+        -239,
+        -229,
+        -225,
+        -223,
+        -237,
+        -215,
+        -226,
+        -230,
+        -234,
+        -216,
+        -222,
+        -222,
+        -213,
+        -217,
+        -221,
+        -204,
+        -230,
+        -194,
+        -220,
+        -203,
+        -213,
+        -208,
+        -203,
+        -201,
+        -190,
+        -194,
+        -185,
+        -182,
+        -191,
+        -195,
+        -200,
+        -183,
+        -188,
+        -172,
+        -182,
+        -187,
+        -187,
+        -181,
+        -178,
+        -171,
+        -172,
+        -163,
+        -164,
+        -157,
+        -172,
+        -167,
+        -179,
+        -155,
+        -172,
+        -149,
+        -167,
+        -157,
+        -156,
+        -146,
+        -145,
+        -151,
+        -135,
+        -140,
+        -143,
+        -134,
+        -133,
+        -124,
+        -144,
+        -139,
+        -136,
+        -130,
+        -130,
+        -118,
+        -140,
+        -127,
+        -127,
+        -121,
+        -122,
+        -128,
+        -114,
+        -113,
+        -121,
+        -106,
+        -127,
+        -99,
+        -120,
+        -110,
+        -110,
+        -101,
+        -96,
+        -91,
+        -101,
+        -97,
+        -108,
+        -104,
+        -95,
+        -96,
+        -84,
+        -86,
+        -94,
+        -72,
+        -89,
+        -65,
+        -77,
+        -76,
+        -71,
+        -69,
+        -80,
+        -76,
+        -74,
+        -71,
+        -68,
+        -58,
+        -62,
+        -51,
+        -69,
+        -58,
+        -74,
+        -51,
+        -66,
+        -57,
+        -56,
+        -45,
+        -48,
+        -40,
+        -37,
+        -28,
+        -31,
+        -42,
+        -43,
+        -31,
+        -31,
+        -21,
+        -40,
+        -26,
+        -28,
+        -33,
+        -34,
+        -25,
+        -24,
+        -17,
+        -14,
+        -7,
+        -21,
+        -16,
+        -29,
+        -25,
+        -19,
+        -11,
+        -8,
+        -3,
+        3,
+        5,
+        -2,
+        11,
+        -15,
+        22,
+        -9,
+        13,
+        -1,
+        22,
+        10,
+        10,
+        17,
+        18,
+        32,
+        23,
+        23,
+        29,
+        30,
+        36,
+        38,
+        43,
+        26,
+        35,
+        33,
+        50,
+        42,
+        41,
+        31,
+        35,
+        44,
+        43,
+        51,
+        50,
+        44,
+        56,
+        51,
+        62,
+        45,
+        76,
+        56,
+        63,
+        66,
+        77,
+        59,
+        66,
+        70,
+        79,
+        78,
+        71,
+        70,
+        80,
+        64,
+        70,
+        70,
+        83,
+        82,
+        89,
+        89,
+        74,
+        77,
+        89,
+        86,
+        83,
+        78,
+        76,
+        70,
+        62,
+        76,
+        57,
+        71,
+        72,
+        76,
+        67,
+        71,
+        54,
+        76,
+        49,
+        63,
+        56,
+        54,
+        64,
+        64,
+        59,
+        56,
+        48,
+        50,
+        33,
+        36,
+        41,
+        41,
+        28,
+        30,
+        16,
+        40,
+        21,
+        25,
+        27,
+        34,
+        32,
+        21,
+        26,
+        12,
+        19,
+        18,
+        9,
+        10,
+        -1,
+        15,
+        7,
+        10,
+        -6,
+        -1,
+        -17,
+        8,
+        -6,
+        1,
+        -1,
+        -13,
+        -6,
+        -21,
+        -15,
+        -13,
+        -23,
+        -6,
+        -36,
+        -17,
+        -30,
+        -23,
+        -36,
+        -38,
+        -25,
+        -26,
+        -39,
+        -38,
+        -49,
+        -45,
+        -39,
+        -33,
+        -53,
+        -45,
+        -42,
+        -50,
+        -56,
+        -57,
+        -48,
+        -50,
+        -58,
+        -59,
+        -53,
+        -51,
+        -64,
+        -60,
+        -72,
+        -65,
+        -85,
+        -79,
+        -80,
+        -72,
+        -87,
+        -80,
+        -77,
+        -89,
+        -92,
+        -94,
+        -87,
+        -83,
+        -94,
+        -90,
+        -84,
+        -99,
+        -92,
+        -106,
+        -105,
+        -96,
+        -117,
+        -101,
+        -112,
+        -108,
+        -102,
+        -113,
+        -111,
+        -119,
+        -121,
+        -112,
+        -129,
+        -119,
+        -124,
+        -127,
+        -136,
+        -139,
+        -130,
+        -129,
+        -137,
+        -136,
+        -132,
+        -146,
+        -143,
+        -138,
+        -157,
+        -153,
+        -147,
+        -146,
+        -155,
+        -135,
+        -149,
+        -141,
+        -159,
+        -156,
+        -170,
+        -171,
+        -175,
+        -162,
+        -168,
+        -168,
+        -181,
+        -163,
+        -172,
+        -171,
+        -167,
+        -186,
+        -178,
+        -172,
+        -188,
+        -180,
+        -183,
+        -189,
+        -195,
+        -197,
+        -201,
+        -203,
+        -210,
+        -195,
+        -196,
+        -204,
+        -209,
+        -209,
+        -217,
+        -198,
+        -210,
+        -208,
+        -225,
+        -220,
+        -214,
+        -225,
+        -222,
+        -212,
+        -217,
+        -224,
+        -227,
+        -233,
+        -233,
+        -238,
+        -245,
+        -233,
+        -253,
+        -228,
+        -247,
+        -237,
+        -239,
+        -252,
+        -252,
+        -257,
+        -261,
+        -247,
+        -250,
+        -254,
+        -256,
+        -261,
+        -271,
+        -252,
+        -259,
+        -266,
+        -273,
+        -272,
+        -268,
+        -258,
+        -254,
+        -270,
+        -249,
+        -261,
+        -255,
+        -251,
+        -246,
+        -258,
+        -256,
+        -251,
+        -248,
+        -245,
+        -242,
+        -250,
+        -237,
+        -236,
+        -232,
+        -250,
+        -222,
+        -244,
+        -227,
+        -239,
+        -239,
+        -226,
+        -225,
+        -220,
+        -232,
+        -229,
+        -226,
+        -218,
+        -212,
+        -206,
+        -204,
+        -215,
+        -197,
+        -228,
+        -204,
+        -223,
+        -213,
+        -213,
+        -202,
+        -198,
+        -191,
+        -189,
+        -197,
+        -183,
+        -204,
+        -192,
+        -195,
+        -185,
+        -187,
+        -177,
+        -172,
+        -184,
+        -178,
+        -178,
+        -167,
+        -184,
+        -174,
+        -175,
+        -164,
+        -182,
+        -169,
+        -171,
+        -158,
+        -159,
+        -151,
+        -167,
+        -146,
+        -155,
+        -153,
+        -163,
+        -148,
+        -158,
+        -140,
+        -152,
+        -152,
+        -146,
+        -146,
+        -133,
+        -132,
+        -140,
+        -124,
+        -128,
+        -129,
+        -137,
+        -117,
+        -126,
+        -123,
+        -121,
+        -128,
+        -127,
+        -118,
+        -115,
+        -125,
+        -110,
+        -120,
+        -104,
+        -108,
+        -113,
+        -101,
+        -122,
+        -96,
+        -111,
+        -84,
+        -100,
+        -93,
+        -95,
+        -98,
+        -84,
+        -87,
+        -96,
+        -72,
+        -85,
+        -83,
+        -92,
+        -89,
+        -84,
+        -77,
+        -69,
+        -70,
+        -81,
+        -64,
+        -69,
+        -59,
+        -77,
+        -65,
+        -63,
+        -60,
+        -70,
+        -46,
+        -56,
+        -41,
+        -51,
+        -47,
+        -60,
+        -52,
+        -52,
+        -61,
+        -47,
+        -46,
+        -38,
+        -39,
+        -31,
+        -24,
+        -36,
+        -36,
+        -28,
+        -31,
+        -22,
+        -21,
+        -34,
+        -8,
+        -28,
+        -19,
+        -20,
+        -11,
+        -13,
+        -5,
+        -20,
+        4,
+        -6,
+        -1,
+        -13,
+        -14,
+        -1,
+        -3,
+        7,
+        6,
+        -2,
+        21,
+        9,
+        16,
+        15,
+        11,
+        7,
+        -2,
+        14,
+        10,
+        20,
+        24,
+        32,
+        39,
+        26,
+        29,
+        13,
+        38,
+        21,
+        47,
+        35,
+        34,
+        45,
+        42,
+        50,
+        48,
+        39,
+        60,
+        47,
+        49,
+        55,
+        41,
+        62,
+        48,
+        51,
+        57,
+        65,
+        67,
+        52,
+        72,
+        67,
+        87,
+        80,
+        79,
+        69,
+        84,
+        75,
+        75,
+        69,
+        85,
+        78,
+        77,
+        68,
+        85,
+        73,
+        80,
+        87,
+        69,
+        78,
+        80,
+        86,
+        71,
+        79,
+        77,
+        69,
+        68,
+        79,
+        81,
+        73,
+        68,
+        63,
+        62,
+        74,
+        47,
+        62,
+        57,
+        50,
+        45,
+        45,
+        37,
+        39,
+        50,
+        49,
+        44,
+        42,
+        36,
+        35,
+        31,
+        27,
+        23,
+        37,
+        18,
+        27,
+        25,
+        15,
+        11,
+        24,
+        18,
+        16,
+        5,
+        23,
+        10,
+        11,
+        1,
+        5,
+        11,
+        13,
+        -1,
+        3,
+        -8,
+        -4,
+        -17,
+        1,
+        -3,
+        -4,
+        -11,
+        -15,
+        -25,
+        -29,
+        -15,
+        -21,
+        -30,
+        -29,
+        -38,
+        -23,
+        -23,
+        -33,
+        -29,
+        -21,
+        -36,
+        -36,
+        -43,
+        -29,
+        -48,
+        -34,
+        -63,
+        -48,
+        -58,
+        -58,
+        -63,
+        -47,
+        -50,
+        -62,
+        -62,
+        -54,
+        -67,
+        -64,
+        -79,
+        -71,
+        -66,
+        -76,
+        -75,
+        -63,
+        -85,
+        -77,
+        -72,
+        -70,
+        -80,
+        -78,
+        -87,
+        -85,
+        -100,
+        -97,
+        -90,
+        -105,
+        -97,
+        -92,
+        -103,
+        -100,
+        -114,
+        -113,
+        -109,
+        -102,
+        -121,
+        -110,
+        -111,
+        -121,
+        -124,
+        -115,
+        -115,
+        -120,
+        -123,
+        -111,
+        -134,
+        -122,
+        -122,
+        -131,
+        -130,
+        -137,
+        -144,
+        -146,
+        -135,
+        -133,
+        -146,
+        -146,
+        -155,
+        -141,
+        -150,
+        -153,
+        -157,
+        -141,
+        -150,
+        -156,
+        -162,
+        -149,
+        -157,
+        -158,
+        -165,
+        -170,
+        -180,
+        -180,
+        -171,
+        -168,
+        -184,
+        -181,
+        -169,
+        -174,
+        -184,
+        -188,
+        -179,
+        -173,
+        -186,
+        -178,
+        -197,
+        -191,
+        -209,
+        -202,
+        -201,
+        -196,
+        -210,
+        -208,
+        -216,
+        -215,
+        -203,
+        -201,
+        -213,
+        -213,
+        -227,
+        -208,
+        -215,
+        -223,
+        -220,
+        -231,
+        -234,
+        -223,
+        -223,
+        -218,
+        -235,
+        -226,
+        -246,
+        -237,
+        -237,
+        -252,
+        -247,
+        -246,
+        -257,
+        -241,
+        -248,
+        -246,
+        -258,
+        -240,
+        -263,
+        -246,
+        -258,
+        -258,
+        -252,
+        -269,
+        -265,
+        -258,
+        -256,
+        -265,
+        -267,
+        -274,
+        -253,
+        -266,
+        -260,
+        -255,
+        -268,
+        -262,
+        -254,
+        -270,
+        -247,
+        -263,
+        -235,
+        -252,
+        -241,
+        -239,
+        -255,
+        -231,
+        -248,
+        -225,
+        -237,
+        -238,
+        -229,
+        -228,
+        -219,
+        -235,
+        -227,
+        -223,
+        -220,
+        -231,
+        -213,
+        -219,
+        -218,
+        -209,
+        -203,
+        -223,
+        -214,
+        -212,
+        -202,
+        -200,
+        -195,
+        -207,
+        -202,
+        -198,
+        -187,
+        -205,
+        -194,
+        -199,
+        -202,
+        -192,
+        -197,
+        -182,
+        -189,
+        -173,
+        -174,
+        -180,
+        -169,
+        -187,
+        -162,
+        -177,
+        -167,
+        -169,
+        -174,
+        -161,
+        -162,
+        -156,
+        -151,
+        -161,
+        -165,
+        -175,
+        -155,
+        -165,
+        -145,
+        -159,
+        -153,
+        -153,
+        -141,
+        -141,
+        -130,
+        -133,
+        -142,
+        -140,
+        -133,
+        -130,
+        -122,
+        -122,
+        -129,
+        -135,
+        -141,
+        -122,
+        -136,
+        -116,
+        -129,
+        -128,
+        -123,
+        -119,
+        -109,
+        -106,
+        -94,
+        -119,
+        -105,
+        -108,
+        -96,
+        -103,
+        -89,
+        -94,
+        -101,
+        -88,
+        -89,
+        -102,
+        -84,
+        -95,
+        -90,
+        -80,
+        -84,
+        -92,
+        -75,
+        -78,
+        -67,
+        -84,
+        -80,
+        -79,
+        -65,
+        -70,
+        -72,
+        -63,
+        -59,
+        -68,
+        -69,
+        -60,
+        -57,
+        -51,
+        -66,
+        -60,
+        -54,
+        -68,
+        -46,
+        -53,
+        -41,
+        -46,
+        -34,
+        -51,
+        -45,
+        -43,
+        -32,
+        -30,
+        -27,
+        -23,
+        -32,
+        -35,
+        -25,
+        -25,
+        -13,
+        -20,
+        -26,
+        -14,
+        -16,
+        -7,
+        -10,
+        -22,
+        0,
+        -8,
+        -11,
+        -2,
+        -17,
+        -14,
+        -7,
+        -9,
+        3,
+        5,
+        11,
+        14,
+        21,
+        20,
+        8,
+        11,
+        19,
+        1,
+        12,
+        10,
+        26,
+        24,
+        35,
+        30,
+        23,
+        21,
+        33,
+        35,
+        42,
+        25,
+        30,
+        32,
+        36,
+        41,
+        44,
+        49,
+        50,
+        60,
+        61,
+        54,
+        50,
+        39,
+        55,
+        54,
+        66,
+        65,
+        61,
+        72,
+        67,
+        60,
+        77,
+        74,
+        83,
+        60,
+        70,
+        74,
+        82,
+        80,
+        71,
+        73,
+        85,
+        84,
+        70,
+        78,
+        77,
+        85,
+        71,
+        70,
+        77,
+        81,
+        85,
+        86,
+        94,
+        72,
+        79,
+        67,
+        69,
+        79,
+        78,
+        85,
+        72,
+        77,
+        65,
+        67,
+        57,
+        54,
+        49,
+        39,
+        37,
+        54,
+        48,
+        43,
+        37,
+        32,
+        42,
+        47,
+        34,
+        35,
+        19,
+        22,
+        31,
+        30,
+        21,
+        37,
+        29,
+        29,
+        18,
+        19,
+        7,
+        8,
+        21,
+        3,
+        13,
+        -2,
+        8,
+        12,
+        -4,
+        0,
+        -16,
+        -9,
+        -7,
+        5,
+        -14,
+        -1,
+        -19,
+        -11,
+        -8,
+        -24,
+        -16,
+        -29,
+        -27,
+        -21,
+        -32,
+        -29,
+        -24,
+        -22,
+        -34,
+        -32,
+        -28,
+        -25,
+        -33,
+        -36,
+        -47,
+        -41,
+        -54,
+        -47,
+        -43,
+        -53,
+        -52,
+        -45,
+        -64,
+        -59,
+        -54,
+        -66,
+        -67,
+        -72,
+        -57,
+        -62,
+        -62,
+        -56,
+        -68,
+        -64,
+        -75,
+        -75,
+        -89,
+        -89,
+        -82,
+        -74,
+        -95,
+        -83,
+        -88,
+        -94,
+        -94,
+        -100,
+        -85,
+        -94,
+        -93,
+        -85,
+        -98,
+        -94,
+        -108,
+        -106,
+        -115,
+        -116,
+        -108,
+        -107,
+        -113,
+        -121,
+        -120,
+        -114,
+        -130,
+        -108,
+        -139,
+        -118,
+        -128,
+        -133,
+        -120,
+        -140,
+        -130,
+        -134,
+        -135,
+        -141,
+        -144,
+        -134,
+        -149,
+        -143,
+        -162,
+        -138,
+        -147,
+        -144,
+        -162,
+        -156,
+        -149,
+        -161,
+        -163,
+        -153,
+        -172,
+        -162,
+        -166,
+        -175,
+        -159,
+        -180,
+        -167,
+        -168,
+        -182,
+        -178,
+        -189,
+        -185,
+        -177,
+        -178,
+        -190,
+        -188,
+        -180,
+        -201,
+        -190,
+        -193,
+        -205,
+        -203,
+        -194,
+        -195,
+        -209,
+        -203,
+        -204,
+        -197,
+        -209,
+        -206,
+        -215,
+        -219,
+        -210,
+        -225,
+        -217,
+        -211,
+        -230,
+        -219,
+        -225,
+        -227,
+        -233,
+        -241,
+        -238,
+        -236,
+        -230,
+        -231,
+        -236,
+        -241,
+        -251,
+        -246,
+        -258,
+        -257,
+        -252,
+        -262,
+        -246,
+        -252,
+        -260,
+        -259,
+        -250,
+        -266,
+        -260,
+        -251,
+        -266,
+        -263,
+        -255,
+        -271,
+        -263,
+        -265,
+        -275,
+        -256,
+        -263,
+        -263,
+        -258,
+        -254,
+        -250,
+        -260,
+        -244,
+        -246,
+        -253,
+        -253,
+        -245,
+        -238,
+        -239,
+        -248,
+        -228,
+        -239,
+        -238,
+        -231,
+        -223,
+        -220,
+        -229,
+        -228,
+        -234,
+        -223,
+        -224,
+        -231,
+        -212,
+        -225,
+        -207,
+        -211,
+        -213,
+        -204,
+        -226,
+        -199,
+        -216,
+        -211,
+        -202,
+        -200,
+        -190,
+        -188,
+        -195,
+        -202,
+        -188,
+        -209,
+        -180,
+        -202,
+        -187,
+        -197,
+        -197,
+        -190,
+        -190,
+        -178,
+        -185,
+        -169,
+        -179,
+        -161,
+        -171,
+        -151,
+        -163,
+        -160,
+        -154,
+        -165,
+        -147,
+        -173,
+        -142,
+        -168,
+        -157,
+        -158,
+        -150,
+        -147,
+        -144,
+        -138,
+        -139,
+        -131,
+        -145,
+        -145,
+        -136,
+        -132,
+        -130,
+        -127,
+        -120,
+        -136,
+        -131,
+        -146,
+        -142,
+        -131,
+        -137,
+        -120,
+        -126,
+        -109,
+        -113,
+        -115,
+        -100,
+        -128,
+        -111,
+        -116,
+        -102,
+        -107,
+        -92,
+        -100,
+        -97,
+        -92,
+        -110,
+        -100,
+        -96,
+        -95,
+        -85,
+        -82,
+        -91,
+        -87,
+        -101,
+        -82,
+        -90,
+        -77,
+        -84,
+        -85,
+        -74,
+        -78,
+        -59,
+        -67,
+        -70,
+        -77,
+        -57,
+        -70,
+        -65,
+        -60,
+        -74,
+        -46,
+        -59,
+        -58,
+        -53,
+        -47,
+        -39,
+        -41,
+        -50,
+        -52,
+        -55,
+        -43,
+        -48,
+        -31,
+        -37,
+        -36,
+        -32,
+        -50,
+        -18,
+        -43,
+        -23,
+        -32,
+        -38,
+        -22,
+        -25,
+        -8,
+        -20,
+        -21,
+        -13,
+        -11,
+        1,
+        -18,
+        -7,
+        -4,
+        5,
+        4,
+        -4,
+        9,
+        -16,
+        -2,
+        -5,
+        -8,
+        5,
+        3,
+        13,
+        10,
+        20,
+        18,
+        27,
+        27,
+        19,
+        18,
+        25,
+        28,
+        38,
+        39,
+        27,
+        30,
+        35,
+        19,
+        40,
+        30,
+        46,
+        40,
+        41,
+        54,
+        29,
+        46,
+        39,
+        40,
+        51,
+        51,
+        57,
+        62,
+        69,
+        56,
+        58,
+        61,
+        65,
+        68,
+        71,
+        74,
+        78,
+        83,
+        85,
+        74,
+        76,
+        65,
+        83,
+        79,
+        73,
+        85,
+        81,
+        73,
+        74,
+        80,
+        82,
+        86,
+        75,
+        74,
+        90,
+        85,
+        78,
+        80,
+        66,
+        69,
+        73,
+        74,
+        82,
+        80,
+        77,
+        71,
+        71,
+        58,
+        62,
+        46,
+        47,
+        60,
+        41,
+        50,
+        51,
+        39,
+        44,
+        47,
+        36,
+        40,
+        27,
+        27,
+        34,
+        38,
+        39,
+        26,
+        34,
+        16,
+        23,
+        26,
+        11,
+        17,
+        22,
+        11,
+        12,
+        6,
+        4,
+        14,
+        10,
+        3,
+        1,
+        10,
+        8,
+        -1,
+        -4,
+        4,
+        -12,
+        -6,
+        -18,
+        -13,
+        -23,
+        -28,
+        -18,
+        -20,
+        -11,
+        -27,
+        -17,
+        -20,
+        -29,
+        -29,
+        -22,
+        -21,
+        -36,
+        -31,
+        -27,
+        -44,
+        -35,
+        -35,
+        -44,
+        -42,
+        -55,
+        -50,
+        -61,
+        -55,
+        -46,
+        -61,
+        -57,
+        -54,
+        -52,
+        -60,
+        -59,
+        -65,
+        -66,
+        -73,
+        -81,
+        -80,
+        -68,
+        -89,
+        -79,
+        -83,
+        -88,
+        -72,
+        -83,
+        -85,
+        -91,
+        -91,
+        -84,
+        -103,
+        -94,
+        -98,
+        -85,
+        -88,
+        -93,
+        -98,
+        -102,
+        -104,
+        -107,
+        -111,
+        -113,
+        -122,
+        -119,
+        -112,
+        -128,
+        -105,
+        -115,
+        -112,
+        -129,
+        -127,
+        -119,
+        -122,
+        -128,
+        -137,
+        -123,
+        -126,
+        -137,
+        -136
+    ]
+}
\ No newline at end of file
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorD_normal.json b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorD_normal.json
new file mode 100644
index 0000000000000000000000000000000000000000..3ae7933365811d94b671f9c2574f4e6079863943
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorD_normal.json
@@ -0,0 +1,14410 @@
+{
+    "time": [
+        0.005555555555555556,
+        0.011111111111111112,
+        0.016666666666666666,
+        0.022222222222222223,
+        0.02777777777777778,
+        0.03333333333333333,
+        0.03888888888888889,
+        0.044444444444444446,
+        0.05,
+        0.05555555555555556,
+        0.061111111111111116,
+        0.06666666666666667,
+        0.07222222222222222,
+        0.07777777777777777,
+        0.08333333333333331,
+        0.08888888888888886,
+        0.09444444444444441,
+        0.09999999999999996,
+        0.10555555555555551,
+        0.11111111111111106,
+        0.11666666666666661,
+        0.12222222222222216,
+        0.1277777777777777,
+        0.13333333333333328,
+        0.13888888888888884,
+        0.1444444444444444,
+        0.14999999999999997,
+        0.15555555555555553,
+        0.1611111111111111,
+        0.16666666666666666,
+        0.17222222222222222,
+        0.17777777777777778,
+        0.18333333333333335,
+        0.1888888888888889,
+        0.19444444444444448,
+        0.20000000000000004,
+        0.2055555555555556,
+        0.21111111111111117,
+        0.21666666666666673,
+        0.2222222222222223,
+        0.22777777777777786,
+        0.23333333333333342,
+        0.23888888888888898,
+        0.24444444444444455,
+        0.2500000000000001,
+        0.25555555555555565,
+        0.2611111111111112,
+        0.2666666666666667,
+        0.27222222222222225,
+        0.2777777777777778,
+        0.2833333333333333,
+        0.28888888888888886,
+        0.2944444444444444,
+        0.29999999999999993,
+        0.30555555555555547,
+        0.311111111111111,
+        0.31666666666666654,
+        0.3222222222222221,
+        0.3277777777777776,
+        0.33333333333333315,
+        0.3388888888888887,
+        0.3444444444444442,
+        0.34999999999999976,
+        0.3555555555555553,
+        0.3611111111111108,
+        0.36666666666666636,
+        0.3722222222222219,
+        0.37777777777777743,
+        0.38333333333333297,
+        0.3888888888888885,
+        0.39444444444444404,
+        0.3999999999999996,
+        0.4055555555555551,
+        0.41111111111111065,
+        0.4166666666666662,
+        0.4222222222222217,
+        0.42777777777777726,
+        0.4333333333333328,
+        0.43888888888888833,
+        0.44444444444444386,
+        0.4499999999999994,
+        0.45555555555555494,
+        0.46111111111111047,
+        0.466666666666666,
+        0.47222222222222154,
+        0.4777777777777771,
+        0.4833333333333326,
+        0.48888888888888815,
+        0.4944444444444437,
+        0.4999999999999992,
+        0.5055555555555548,
+        0.5111111111111103,
+        0.5166666666666658,
+        0.5222222222222214,
+        0.5277777777777769,
+        0.5333333333333324,
+        0.538888888888888,
+        0.5444444444444435,
+        0.549999999999999,
+        0.5555555555555546,
+        0.5611111111111101,
+        0.5666666666666657,
+        0.5722222222222212,
+        0.5777777777777767,
+        0.5833333333333323,
+        0.5888888888888878,
+        0.5944444444444433,
+        0.5999999999999989,
+        0.6055555555555544,
+        0.6111111111111099,
+        0.6166666666666655,
+        0.622222222222221,
+        0.6277777777777765,
+        0.6333333333333321,
+        0.6388888888888876,
+        0.6444444444444432,
+        0.6499999999999987,
+        0.6555555555555542,
+        0.6611111111111098,
+        0.6666666666666653,
+        0.6722222222222208,
+        0.6777777777777764,
+        0.6833333333333319,
+        0.6888888888888874,
+        0.694444444444443,
+        0.6999999999999985,
+        0.705555555555554,
+        0.7111111111111096,
+        0.7166666666666651,
+        0.7222222222222207,
+        0.7277777777777762,
+        0.7333333333333317,
+        0.7388888888888873,
+        0.7444444444444428,
+        0.7499999999999983,
+        0.7555555555555539,
+        0.7611111111111094,
+        0.7666666666666649,
+        0.7722222222222205,
+        0.777777777777776,
+        0.7833333333333315,
+        0.7888888888888871,
+        0.7944444444444426,
+        0.7999999999999982,
+        0.8055555555555537,
+        0.8111111111111092,
+        0.8166666666666648,
+        0.8222222222222203,
+        0.8277777777777758,
+        0.8333333333333314,
+        0.8388888888888869,
+        0.8444444444444424,
+        0.849999999999998,
+        0.8555555555555535,
+        0.861111111111109,
+        0.8666666666666646,
+        0.8722222222222201,
+        0.8777777777777757,
+        0.8833333333333312,
+        0.8888888888888867,
+        0.8944444444444423,
+        0.8999999999999978,
+        0.9055555555555533,
+        0.9111111111111089,
+        0.9166666666666644,
+        0.92222222222222,
+        0.9277777777777755,
+        0.933333333333331,
+        0.9388888888888866,
+        0.9444444444444421,
+        0.9499999999999976,
+        0.9555555555555532,
+        0.9611111111111087,
+        0.9666666666666642,
+        0.9722222222222198,
+        0.9777777777777753,
+        0.9833333333333308,
+        0.9888888888888864,
+        0.9944444444444419,
+        0.9999999999999974,
+        1.005555555555553,
+        1.0111111111111086,
+        1.0166666666666642,
+        1.0222222222222197,
+        1.0277777777777752,
+        1.0333333333333308,
+        1.0388888888888863,
+        1.0444444444444418,
+        1.0499999999999974,
+        1.055555555555553,
+        1.0611111111111085,
+        1.066666666666664,
+        1.0722222222222195,
+        1.077777777777775,
+        1.0833333333333306,
+        1.0888888888888861,
+        1.0944444444444417,
+        1.0999999999999972,
+        1.1055555555555527,
+        1.1111111111111083,
+        1.1166666666666638,
+        1.1222222222222193,
+        1.1277777777777749,
+        1.1333333333333304,
+        1.138888888888886,
+        1.1444444444444415,
+        1.149999999999997,
+        1.1555555555555526,
+        1.161111111111108,
+        1.1666666666666636,
+        1.1722222222222192,
+        1.1777777777777747,
+        1.1833333333333302,
+        1.1888888888888858,
+        1.1944444444444413,
+        1.1999999999999968,
+        1.2055555555555524,
+        1.211111111111108,
+        1.2166666666666635,
+        1.222222222222219,
+        1.2277777777777745,
+        1.23333333333333,
+        1.2388888888888856,
+        1.2444444444444411,
+        1.2499999999999967,
+        1.2555555555555522,
+        1.2611111111111077,
+        1.2666666666666633,
+        1.2722222222222188,
+        1.2777777777777743,
+        1.2833333333333299,
+        1.2888888888888854,
+        1.294444444444441,
+        1.2999999999999965,
+        1.305555555555552,
+        1.3111111111111076,
+        1.316666666666663,
+        1.3222222222222186,
+        1.3277777777777742,
+        1.3333333333333297,
+        1.3388888888888852,
+        1.3444444444444408,
+        1.3499999999999963,
+        1.3555555555555518,
+        1.3611111111111074,
+        1.366666666666663,
+        1.3722222222222185,
+        1.377777777777774,
+        1.3833333333333295,
+        1.388888888888885,
+        1.3944444444444406,
+        1.3999999999999961,
+        1.4055555555555517,
+        1.4111111111111072,
+        1.4166666666666627,
+        1.4222222222222183,
+        1.4277777777777738,
+        1.4333333333333294,
+        1.4388888888888849,
+        1.4444444444444404,
+        1.449999999999996,
+        1.4555555555555515,
+        1.461111111111107,
+        1.4666666666666626,
+        1.472222222222218,
+        1.4777777777777736,
+        1.4833333333333292,
+        1.4888888888888847,
+        1.4944444444444402,
+        1.4999999999999958,
+        1.5055555555555513,
+        1.5111111111111069,
+        1.5166666666666624,
+        1.522222222222218,
+        1.5277777777777735,
+        1.533333333333329,
+        1.5388888888888845,
+        1.54444444444444,
+        1.5499999999999956,
+        1.5555555555555511,
+        1.5611111111111067,
+        1.5666666666666622,
+        1.5722222222222177,
+        1.5777777777777733,
+        1.5833333333333288,
+        1.5888888888888844,
+        1.59444444444444,
+        1.5999999999999954,
+        1.605555555555551,
+        1.6111111111111065,
+        1.616666666666662,
+        1.6222222222222176,
+        1.627777777777773,
+        1.6333333333333286,
+        1.6388888888888842,
+        1.6444444444444397,
+        1.6499999999999952,
+        1.6555555555555508,
+        1.6611111111111063,
+        1.6666666666666619,
+        1.6722222222222174,
+        1.677777777777773,
+        1.6833333333333285,
+        1.688888888888884,
+        1.6944444444444395,
+        1.699999999999995,
+        1.7055555555555506,
+        1.7111111111111061,
+        1.7166666666666617,
+        1.7222222222222172,
+        1.7277777777777727,
+        1.7333333333333283,
+        1.7388888888888838,
+        1.7444444444444394,
+        1.749999999999995,
+        1.7555555555555504,
+        1.761111111111106,
+        1.7666666666666615,
+        1.772222222222217,
+        1.7777777777777726,
+        1.783333333333328,
+        1.7888888888888836,
+        1.7944444444444392,
+        1.7999999999999947,
+        1.8055555555555503,
+        1.8111111111111058,
+        1.8166666666666613,
+        1.8222222222222169,
+        1.8277777777777724,
+        1.833333333333328,
+        1.8388888888888835,
+        1.844444444444439,
+        1.8499999999999945,
+        1.85555555555555,
+        1.8611111111111056,
+        1.8666666666666611,
+        1.8722222222222167,
+        1.8777777777777722,
+        1.8833333333333278,
+        1.8888888888888833,
+        1.8944444444444388,
+        1.8999999999999944,
+        1.90555555555555,
+        1.9111111111111054,
+        1.916666666666661,
+        1.9222222222222165,
+        1.927777777777772,
+        1.9333333333333276,
+        1.938888888888883,
+        1.9444444444444386,
+        1.9499999999999942,
+        1.9555555555555497,
+        1.9611111111111053,
+        1.9666666666666608,
+        1.9722222222222163,
+        1.9777777777777719,
+        1.9833333333333274,
+        1.988888888888883,
+        1.9944444444444385,
+        1.999999999999994,
+        2.0055555555555498,
+        2.0111111111111053,
+        2.016666666666661,
+        2.0222222222222164,
+        2.027777777777772,
+        2.0333333333333274,
+        2.038888888888883,
+        2.0444444444444385,
+        2.049999999999994,
+        2.0555555555555496,
+        2.061111111111105,
+        2.0666666666666607,
+        2.072222222222216,
+        2.0777777777777717,
+        2.0833333333333273,
+        2.088888888888883,
+        2.0944444444444383,
+        2.099999999999994,
+        2.1055555555555494,
+        2.111111111111105,
+        2.1166666666666605,
+        2.122222222222216,
+        2.1277777777777716,
+        2.133333333333327,
+        2.1388888888888826,
+        2.144444444444438,
+        2.1499999999999937,
+        2.1555555555555492,
+        2.1611111111111048,
+        2.1666666666666603,
+        2.172222222222216,
+        2.1777777777777714,
+        2.183333333333327,
+        2.1888888888888824,
+        2.194444444444438,
+        2.1999999999999935,
+        2.205555555555549,
+        2.2111111111111046,
+        2.21666666666666,
+        2.2222222222222157,
+        2.227777777777771,
+        2.2333333333333267,
+        2.2388888888888823,
+        2.244444444444438,
+        2.2499999999999933,
+        2.255555555555549,
+        2.2611111111111044,
+        2.26666666666666,
+        2.2722222222222155,
+        2.277777777777771,
+        2.2833333333333266,
+        2.288888888888882,
+        2.2944444444444376,
+        2.299999999999993,
+        2.3055555555555487,
+        2.3111111111111042,
+        2.3166666666666598,
+        2.3222222222222153,
+        2.327777777777771,
+        2.3333333333333264,
+        2.338888888888882,
+        2.3444444444444374,
+        2.349999999999993,
+        2.3555555555555485,
+        2.361111111111104,
+        2.3666666666666596,
+        2.372222222222215,
+        2.3777777777777707,
+        2.383333333333326,
+        2.3888888888888817,
+        2.3944444444444373,
+        2.399999999999993,
+        2.4055555555555483,
+        2.411111111111104,
+        2.4166666666666594,
+        2.422222222222215,
+        2.4277777777777705,
+        2.433333333333326,
+        2.4388888888888816,
+        2.444444444444437,
+        2.4499999999999926,
+        2.455555555555548,
+        2.4611111111111037,
+        2.4666666666666592,
+        2.4722222222222148,
+        2.4777777777777703,
+        2.483333333333326,
+        2.4888888888888814,
+        2.494444444444437,
+        2.4999999999999925,
+        2.505555555555548,
+        2.5111111111111035,
+        2.516666666666659,
+        2.5222222222222146,
+        2.52777777777777,
+        2.5333333333333257,
+        2.538888888888881,
+        2.5444444444444367,
+        2.5499999999999923,
+        2.555555555555548,
+        2.5611111111111033,
+        2.566666666666659,
+        2.5722222222222144,
+        2.57777777777777,
+        2.5833333333333255,
+        2.588888888888881,
+        2.5944444444444366,
+        2.599999999999992,
+        2.6055555555555476,
+        2.611111111111103,
+        2.6166666666666587,
+        2.6222222222222142,
+        2.6277777777777698,
+        2.6333333333333253,
+        2.638888888888881,
+        2.6444444444444364,
+        2.649999999999992,
+        2.6555555555555475,
+        2.661111111111103,
+        2.6666666666666585,
+        2.672222222222214,
+        2.6777777777777696,
+        2.683333333333325,
+        2.6888888888888807,
+        2.694444444444436,
+        2.6999999999999917,
+        2.7055555555555473,
+        2.711111111111103,
+        2.7166666666666583,
+        2.722222222222214,
+        2.7277777777777694,
+        2.733333333333325,
+        2.7388888888888805,
+        2.744444444444436,
+        2.7499999999999916,
+        2.755555555555547,
+        2.7611111111111026,
+        2.766666666666658,
+        2.7722222222222137,
+        2.7777777777777692,
+        2.7833333333333248,
+        2.7888888888888803,
+        2.794444444444436,
+        2.7999999999999914,
+        2.805555555555547,
+        2.8111111111111025,
+        2.816666666666658,
+        2.8222222222222135,
+        2.827777777777769,
+        2.8333333333333246,
+        2.83888888888888,
+        2.8444444444444357,
+        2.849999999999991,
+        2.8555555555555467,
+        2.8611111111111023,
+        2.866666666666658,
+        2.8722222222222134,
+        2.877777777777769,
+        2.8833333333333244,
+        2.88888888888888,
+        2.8944444444444355,
+        2.899999999999991,
+        2.9055555555555466,
+        2.911111111111102,
+        2.9166666666666576,
+        2.922222222222213,
+        2.9277777777777687,
+        2.9333333333333242,
+        2.93888888888888,
+        2.9444444444444353,
+        2.949999999999991,
+        2.9555555555555464,
+        2.961111111111102,
+        2.9666666666666575,
+        2.972222222222213,
+        2.9777777777777685,
+        2.983333333333324,
+        2.9888888888888796,
+        2.994444444444435,
+        2.9999999999999907,
+        3.005555555555546,
+        3.0111111111111017,
+        3.0166666666666573,
+        3.022222222222213,
+        3.0277777777777684,
+        3.033333333333324,
+        3.0388888888888794,
+        3.044444444444435,
+        3.0499999999999905,
+        3.055555555555546,
+        3.0611111111111016,
+        3.066666666666657,
+        3.0722222222222126,
+        3.077777777777768,
+        3.0833333333333237,
+        3.0888888888888792,
+        3.094444444444435,
+        3.0999999999999903,
+        3.105555555555546,
+        3.1111111111111014,
+        3.116666666666657,
+        3.1222222222222125,
+        3.127777777777768,
+        3.1333333333333235,
+        3.138888888888879,
+        3.1444444444444346,
+        3.14999999999999,
+        3.1555555555555457,
+        3.161111111111101,
+        3.1666666666666567,
+        3.1722222222222123,
+        3.177777777777768,
+        3.1833333333333234,
+        3.188888888888879,
+        3.1944444444444344,
+        3.19999999999999,
+        3.2055555555555455,
+        3.211111111111101,
+        3.2166666666666566,
+        3.222222222222212,
+        3.2277777777777676,
+        3.233333333333323,
+        3.2388888888888787,
+        3.2444444444444343,
+        3.24999999999999,
+        3.2555555555555453,
+        3.261111111111101,
+        3.2666666666666564,
+        3.272222222222212,
+        3.2777777777777675,
+        3.283333333333323,
+        3.2888888888888785,
+        3.294444444444434,
+        3.2999999999999896,
+        3.305555555555545,
+        3.3111111111111007,
+        3.316666666666656,
+        3.3222222222222118,
+        3.3277777777777673,
+        3.333333333333323,
+        3.3388888888888784,
+        3.344444444444434,
+        3.3499999999999894,
+        3.355555555555545,
+        3.3611111111111005,
+        3.366666666666656,
+        3.3722222222222116,
+        3.377777777777767,
+        3.3833333333333226,
+        3.388888888888878,
+        3.3944444444444337,
+        3.3999999999999893,
+        3.405555555555545,
+        3.4111111111111003,
+        3.416666666666656,
+        3.4222222222222114,
+        3.427777777777767,
+        3.4333333333333225,
+        3.438888888888878,
+        3.4444444444444335,
+        3.449999999999989,
+        3.4555555555555446,
+        3.4611111111111,
+        3.4666666666666557,
+        3.472222222222211,
+        3.4777777777777668,
+        3.4833333333333223,
+        3.488888888888878,
+        3.4944444444444334,
+        3.499999999999989,
+        3.5055555555555444,
+        3.5111111111111,
+        3.5166666666666555,
+        3.522222222222211,
+        3.5277777777777666,
+        3.533333333333322,
+        3.5388888888888776,
+        3.544444444444433,
+        3.5499999999999887,
+        3.5555555555555443,
+        3.5611111111111,
+        3.5666666666666553,
+        3.572222222222211,
+        3.5777777777777664,
+        3.583333333333322,
+        3.5888888888888775,
+        3.594444444444433,
+        3.5999999999999885,
+        3.605555555555544,
+        3.6111111111110996,
+        3.616666666666655,
+        3.6222222222222107,
+        3.627777777777766,
+        3.6333333333333218,
+        3.6388888888888773,
+        3.644444444444433,
+        3.6499999999999884,
+        3.655555555555544,
+        3.6611111111110994,
+        3.666666666666655,
+        3.6722222222222105,
+        3.677777777777766,
+        3.6833333333333216,
+        3.688888888888877,
+        3.6944444444444327,
+        3.699999999999988,
+        3.7055555555555437,
+        3.7111111111110993,
+        3.716666666666655,
+        3.7222222222222103,
+        3.727777777777766,
+        3.7333333333333214,
+        3.738888888888877,
+        3.7444444444444325,
+        3.749999999999988,
+        3.7555555555555435,
+        3.761111111111099,
+        3.7666666666666546,
+        3.77222222222221,
+        3.7777777777777657,
+        3.7833333333333212,
+        3.7888888888888768,
+        3.7944444444444323,
+        3.799999999999988,
+        3.8055555555555434,
+        3.811111111111099,
+        3.8166666666666544,
+        3.82222222222221,
+        3.8277777777777655,
+        3.833333333333321,
+        3.8388888888888766,
+        3.844444444444432,
+        3.8499999999999877,
+        3.855555555555543,
+        3.8611111111110987,
+        3.8666666666666543,
+        3.87222222222221,
+        3.8777777777777653,
+        3.883333333333321,
+        3.8888888888888764,
+        3.894444444444432,
+        3.8999999999999875,
+        3.905555555555543,
+        3.9111111111110985,
+        3.916666666666654,
+        3.9222222222222096,
+        3.927777777777765,
+        3.9333333333333207,
+        3.9388888888888762,
+        3.9444444444444318,
+        3.9499999999999873,
+        3.955555555555543,
+        3.9611111111110984,
+        3.966666666666654,
+        3.9722222222222094,
+        3.977777777777765,
+        3.9833333333333205,
+        3.988888888888876,
+        3.9944444444444316,
+        3.999999999999987,
+        4.005555555555543,
+        4.011111111111099,
+        4.016666666666654,
+        4.02222222222221,
+        4.027777777777765,
+        4.033333333333321,
+        4.038888888888876,
+        4.044444444444432,
+        4.049999999999987,
+        4.055555555555543,
+        4.0611111111110985,
+        4.066666666666654,
+        4.0722222222222095,
+        4.077777777777765,
+        4.083333333333321,
+        4.088888888888876,
+        4.094444444444432,
+        4.099999999999987,
+        4.105555555555543,
+        4.111111111111098,
+        4.116666666666654,
+        4.122222222222209,
+        4.127777777777765,
+        4.13333333333332,
+        4.138888888888876,
+        4.1444444444444315,
+        4.149999999999987,
+        4.155555555555543,
+        4.161111111111098,
+        4.166666666666654,
+        4.172222222222209,
+        4.177777777777765,
+        4.18333333333332,
+        4.188888888888876,
+        4.194444444444431,
+        4.199999999999987,
+        4.205555555555542,
+        4.211111111111098,
+        4.2166666666666535,
+        4.222222222222209,
+        4.2277777777777645,
+        4.23333333333332,
+        4.238888888888876,
+        4.244444444444431,
+        4.249999999999987,
+        4.255555555555542,
+        4.261111111111098,
+        4.266666666666653,
+        4.272222222222209,
+        4.277777777777764,
+        4.28333333333332,
+        4.288888888888875,
+        4.294444444444431,
+        4.2999999999999865,
+        4.305555555555542,
+        4.311111111111098,
+        4.316666666666653,
+        4.322222222222209,
+        4.327777777777764,
+        4.33333333333332,
+        4.338888888888875,
+        4.344444444444431,
+        4.349999999999986,
+        4.355555555555542,
+        4.361111111111097,
+        4.366666666666653,
+        4.3722222222222085,
+        4.377777777777764,
+        4.3833333333333195,
+        4.388888888888875,
+        4.394444444444431,
+        4.399999999999986,
+        4.405555555555542,
+        4.411111111111097,
+        4.416666666666653,
+        4.422222222222208,
+        4.427777777777764,
+        4.433333333333319,
+        4.438888888888875,
+        4.44444444444443,
+        4.449999999999986,
+        4.4555555555555415,
+        4.461111111111097,
+        4.466666666666653,
+        4.472222222222208,
+        4.477777777777764,
+        4.483333333333319,
+        4.488888888888875,
+        4.49444444444443,
+        4.499999999999986,
+        4.505555555555541,
+        4.511111111111097,
+        4.516666666666652,
+        4.522222222222208,
+        4.5277777777777635,
+        4.533333333333319,
+        4.5388888888888745,
+        4.54444444444443,
+        4.549999999999986,
+        4.555555555555541,
+        4.561111111111097,
+        4.566666666666652,
+        4.572222222222208,
+        4.577777777777763,
+        4.583333333333319,
+        4.588888888888874,
+        4.59444444444443,
+        4.599999999999985,
+        4.605555555555541,
+        4.6111111111110965,
+        4.616666666666652,
+        4.622222222222208,
+        4.627777777777763,
+        4.633333333333319,
+        4.638888888888874,
+        4.64444444444443,
+        4.649999999999985,
+        4.655555555555541,
+        4.661111111111096,
+        4.666666666666652,
+        4.672222222222207,
+        4.677777777777763,
+        4.6833333333333185,
+        4.688888888888874,
+        4.6944444444444295,
+        4.699999999999985,
+        4.705555555555541,
+        4.711111111111096,
+        4.716666666666652,
+        4.722222222222207,
+        4.727777777777763,
+        4.733333333333318,
+        4.738888888888874,
+        4.744444444444429,
+        4.749999999999985,
+        4.75555555555554,
+        4.761111111111096,
+        4.7666666666666515,
+        4.772222222222207,
+        4.777777777777763,
+        4.783333333333318,
+        4.788888888888874,
+        4.794444444444429,
+        4.799999999999985,
+        4.80555555555554,
+        4.811111111111096,
+        4.816666666666651,
+        4.822222222222207,
+        4.827777777777762,
+        4.833333333333318,
+        4.8388888888888735,
+        4.844444444444429,
+        4.8499999999999845,
+        4.85555555555554,
+        4.861111111111096,
+        4.866666666666651,
+        4.872222222222207,
+        4.877777777777762,
+        4.883333333333318,
+        4.888888888888873,
+        4.894444444444429,
+        4.899999999999984,
+        4.90555555555554,
+        4.911111111111095,
+        4.916666666666651,
+        4.9222222222222065,
+        4.927777777777762,
+        4.933333333333318,
+        4.938888888888873,
+        4.944444444444429,
+        4.949999999999984,
+        4.95555555555554,
+        4.961111111111095,
+        4.966666666666651,
+        4.972222222222206,
+        4.977777777777762,
+        4.983333333333317,
+        4.988888888888873,
+        4.9944444444444285,
+        4.999999999999984,
+        5.0055555555555395,
+        5.011111111111095,
+        5.016666666666651,
+        5.022222222222206,
+        5.027777777777762,
+        5.033333333333317,
+        5.038888888888873,
+        5.044444444444428,
+        5.049999999999984,
+        5.055555555555539,
+        5.061111111111095,
+        5.06666666666665,
+        5.072222222222206,
+        5.0777777777777615,
+        5.083333333333317,
+        5.088888888888873,
+        5.094444444444428,
+        5.099999999999984,
+        5.105555555555539,
+        5.111111111111095,
+        5.11666666666665,
+        5.122222222222206,
+        5.127777777777761,
+        5.133333333333317,
+        5.138888888888872,
+        5.144444444444428,
+        5.1499999999999835,
+        5.155555555555539,
+        5.1611111111110946,
+        5.16666666666665,
+        5.172222222222206,
+        5.177777777777761,
+        5.183333333333317,
+        5.188888888888872,
+        5.194444444444428,
+        5.199999999999983,
+        5.205555555555539,
+        5.211111111111094,
+        5.21666666666665,
+        5.2222222222222054,
+        5.227777777777761,
+        5.2333333333333165,
+        5.238888888888872,
+        5.244444444444428,
+        5.249999999999983,
+        5.255555555555539,
+        5.261111111111094,
+        5.26666666666665,
+        5.272222222222205,
+        5.277777777777761,
+        5.283333333333316,
+        5.288888888888872,
+        5.294444444444427,
+        5.299999999999983,
+        5.3055555555555385,
+        5.311111111111094,
+        5.3166666666666496,
+        5.322222222222205,
+        5.327777777777761,
+        5.333333333333316,
+        5.338888888888872,
+        5.344444444444427,
+        5.349999999999983,
+        5.355555555555538,
+        5.361111111111094,
+        5.366666666666649,
+        5.372222222222205,
+        5.3777777777777604,
+        5.383333333333316,
+        5.3888888888888715,
+        5.394444444444427,
+        5.399999999999983,
+        5.405555555555538,
+        5.411111111111094,
+        5.416666666666649,
+        5.422222222222205,
+        5.42777777777776,
+        5.433333333333316,
+        5.438888888888871,
+        5.444444444444427,
+        5.449999999999982,
+        5.455555555555538,
+        5.4611111111110935,
+        5.466666666666649,
+        5.472222222222205,
+        5.47777777777776,
+        5.483333333333316,
+        5.488888888888871,
+        5.494444444444427,
+        5.499999999999982,
+        5.505555555555538,
+        5.511111111111093,
+        5.516666666666649,
+        5.522222222222204,
+        5.52777777777776,
+        5.5333333333333155,
+        5.538888888888871,
+        5.5444444444444265,
+        5.549999999999982,
+        5.555555555555538,
+        5.561111111111093,
+        5.566666666666649,
+        5.572222222222204,
+        5.57777777777776,
+        5.583333333333315,
+        5.588888888888871,
+        5.594444444444426,
+        5.599999999999982,
+        5.605555555555537,
+        5.611111111111093,
+        5.6166666666666485,
+        5.622222222222204,
+        5.62777777777776,
+        5.633333333333315,
+        5.638888888888871,
+        5.644444444444426,
+        5.649999999999982,
+        5.655555555555537,
+        5.661111111111093,
+        5.666666666666648,
+        5.672222222222204,
+        5.677777777777759,
+        5.683333333333315,
+        5.6888888888888705,
+        5.694444444444426,
+        5.6999999999999815,
+        5.705555555555537,
+        5.711111111111093,
+        5.716666666666648,
+        5.722222222222204,
+        5.727777777777759,
+        5.733333333333315,
+        5.73888888888887,
+        5.744444444444426,
+        5.749999999999981,
+        5.755555555555537,
+        5.761111111111092,
+        5.766666666666648,
+        5.7722222222222035,
+        5.777777777777759,
+        5.783333333333315,
+        5.78888888888887,
+        5.794444444444426,
+        5.799999999999981,
+        5.805555555555537,
+        5.811111111111092,
+        5.816666666666648,
+        5.822222222222203,
+        5.827777777777759,
+        5.833333333333314,
+        5.83888888888887,
+        5.8444444444444255,
+        5.849999999999981,
+        5.8555555555555365,
+        5.861111111111092,
+        5.866666666666648,
+        5.872222222222203,
+        5.877777777777759,
+        5.883333333333314,
+        5.88888888888887,
+        5.894444444444425,
+        5.899999999999981,
+        5.905555555555536,
+        5.911111111111092,
+        5.916666666666647,
+        5.922222222222203,
+        5.9277777777777585,
+        5.933333333333314,
+        5.93888888888887,
+        5.944444444444425,
+        5.949999999999981,
+        5.955555555555536,
+        5.961111111111092,
+        5.966666666666647,
+        5.972222222222203,
+        5.977777777777758,
+        5.983333333333314,
+        5.988888888888869,
+        5.994444444444425,
+        5.9999999999999805,
+        6.005555555555536,
+        6.0111111111110915,
+        6.016666666666647,
+        6.022222222222203,
+        6.027777777777758,
+        6.033333333333314,
+        6.038888888888869,
+        6.044444444444425,
+        6.04999999999998,
+        6.055555555555536,
+        6.061111111111091,
+        6.066666666666647,
+        6.072222222222202,
+        6.077777777777758,
+        6.0833333333333135,
+        6.088888888888869,
+        6.094444444444425,
+        6.09999999999998,
+        6.105555555555536,
+        6.111111111111091,
+        6.116666666666647,
+        6.122222222222202,
+        6.127777777777758,
+        6.133333333333313,
+        6.138888888888869,
+        6.144444444444424,
+        6.14999999999998,
+        6.1555555555555355,
+        6.161111111111091,
+        6.1666666666666465,
+        6.172222222222202,
+        6.177777777777758,
+        6.183333333333313,
+        6.188888888888869,
+        6.194444444444424,
+        6.19999999999998,
+        6.205555555555535,
+        6.211111111111091,
+        6.216666666666646,
+        6.222222222222202,
+        6.227777777777757,
+        6.233333333333313,
+        6.2388888888888685,
+        6.244444444444424,
+        6.24999999999998,
+        6.255555555555535,
+        6.261111111111091,
+        6.266666666666646,
+        6.272222222222202,
+        6.277777777777757,
+        6.283333333333313,
+        6.288888888888868,
+        6.294444444444424,
+        6.299999999999979,
+        6.305555555555535,
+        6.3111111111110905,
+        6.316666666666646,
+        6.3222222222222015,
+        6.327777777777757,
+        6.333333333333313,
+        6.338888888888868,
+        6.344444444444424,
+        6.349999999999979,
+        6.355555555555535,
+        6.36111111111109,
+        6.366666666666646,
+        6.372222222222201,
+        6.377777777777757,
+        6.383333333333312,
+        6.388888888888868,
+        6.3944444444444235,
+        6.399999999999979,
+        6.405555555555535,
+        6.41111111111109,
+        6.416666666666646,
+        6.422222222222201,
+        6.427777777777757,
+        6.433333333333312,
+        6.438888888888868,
+        6.444444444444423,
+        6.449999999999979,
+        6.455555555555534,
+        6.46111111111109,
+        6.4666666666666455,
+        6.472222222222201,
+        6.4777777777777565,
+        6.483333333333312,
+        6.488888888888868,
+        6.494444444444423,
+        6.499999999999979,
+        6.505555555555534,
+        6.51111111111109,
+        6.516666666666645,
+        6.522222222222201,
+        6.527777777777756,
+        6.533333333333312,
+        6.538888888888867,
+        6.544444444444423,
+        6.5499999999999785,
+        6.555555555555534,
+        6.56111111111109,
+        6.566666666666645,
+        6.572222222222201,
+        6.577777777777756,
+        6.583333333333312,
+        6.588888888888867,
+        6.594444444444423,
+        6.599999999999978,
+        6.605555555555534,
+        6.611111111111089,
+        6.616666666666645,
+        6.6222222222222005,
+        6.627777777777756,
+        6.6333333333333115,
+        6.638888888888867,
+        6.644444444444423,
+        6.649999999999978,
+        6.655555555555534,
+        6.661111111111089,
+        6.666666666666645,
+        6.6722222222222,
+        6.677777777777756,
+        6.683333333333311,
+        6.688888888888867,
+        6.694444444444422,
+        6.699999999999978,
+        6.7055555555555335,
+        6.711111111111089,
+        6.716666666666645,
+        6.7222222222222,
+        6.727777777777756,
+        6.733333333333311,
+        6.738888888888867,
+        6.744444444444422,
+        6.749999999999978,
+        6.755555555555533,
+        6.761111111111089,
+        6.766666666666644,
+        6.7722222222222,
+        6.7777777777777555,
+        6.783333333333311,
+        6.7888888888888665,
+        6.794444444444422,
+        6.799999999999978,
+        6.805555555555533,
+        6.811111111111089,
+        6.816666666666644,
+        6.8222222222222,
+        6.827777777777755,
+        6.833333333333311,
+        6.838888888888866,
+        6.844444444444422,
+        6.849999999999977,
+        6.855555555555533,
+        6.8611111111110885,
+        6.866666666666644,
+        6.8722222222222,
+        6.877777777777755,
+        6.883333333333311,
+        6.888888888888866,
+        6.894444444444422,
+        6.899999999999977,
+        6.905555555555533,
+        6.911111111111088,
+        6.916666666666644,
+        6.922222222222199,
+        6.927777777777755,
+        6.9333333333333105,
+        6.938888888888866,
+        6.9444444444444215,
+        6.949999999999977,
+        6.955555555555533,
+        6.961111111111088,
+        6.966666666666644,
+        6.972222222222199,
+        6.977777777777755,
+        6.98333333333331,
+        6.988888888888866,
+        6.994444444444421,
+        6.999999999999977,
+        7.005555555555532,
+        7.011111111111088,
+        7.0166666666666435,
+        7.022222222222199,
+        7.027777777777755,
+        7.03333333333331,
+        7.038888888888866,
+        7.044444444444421,
+        7.049999999999977,
+        7.055555555555532,
+        7.061111111111088,
+        7.066666666666643,
+        7.072222222222199,
+        7.077777777777754,
+        7.08333333333331,
+        7.0888888888888655,
+        7.094444444444421,
+        7.0999999999999766,
+        7.105555555555532,
+        7.111111111111088,
+        7.116666666666643,
+        7.122222222222199,
+        7.127777777777754,
+        7.13333333333331,
+        7.138888888888865,
+        7.144444444444421,
+        7.149999999999976,
+        7.155555555555532,
+        7.1611111111110874,
+        7.166666666666643,
+        7.1722222222221985,
+        7.177777777777754,
+        7.18333333333331,
+        7.188888888888865,
+        7.194444444444421,
+        7.199999999999976,
+        7.205555555555532,
+        7.211111111111087,
+        7.216666666666643,
+        7.222222222222198,
+        7.227777777777754,
+        7.233333333333309,
+        7.238888888888865,
+        7.2444444444444205,
+        7.249999999999976,
+        7.2555555555555316,
+        7.261111111111087,
+        7.266666666666643,
+        7.272222222222198,
+        7.277777777777754,
+        7.283333333333309,
+        7.288888888888865,
+        7.29444444444442,
+        7.299999999999976,
+        7.305555555555531,
+        7.311111111111087,
+        7.3166666666666424,
+        7.322222222222198,
+        7.3277777777777535,
+        7.333333333333309,
+        7.338888888888865,
+        7.34444444444442,
+        7.349999999999976,
+        7.355555555555531,
+        7.361111111111087,
+        7.366666666666642,
+        7.372222222222198,
+        7.377777777777753,
+        7.383333333333309,
+        7.388888888888864,
+        7.39444444444442,
+        7.3999999999999755,
+        7.405555555555531,
+        7.411111111111087,
+        7.416666666666642,
+        7.422222222222198,
+        7.427777777777753,
+        7.433333333333309,
+        7.438888888888864,
+        7.44444444444442,
+        7.449999999999975,
+        7.455555555555531,
+        7.461111111111086,
+        7.466666666666642,
+        7.4722222222221975,
+        7.477777777777753,
+        7.4833333333333085,
+        7.488888888888864,
+        7.49444444444442,
+        7.499999999999975,
+        7.505555555555531,
+        7.511111111111086,
+        7.516666666666642,
+        7.522222222222197,
+        7.527777777777753,
+        7.533333333333308,
+        7.538888888888864,
+        7.544444444444419,
+        7.549999999999975,
+        7.5555555555555305,
+        7.561111111111086,
+        7.566666666666642,
+        7.572222222222197,
+        7.577777777777753,
+        7.583333333333308,
+        7.588888888888864,
+        7.594444444444419,
+        7.599999999999975,
+        7.60555555555553,
+        7.611111111111086,
+        7.616666666666641,
+        7.622222222222197,
+        7.6277777777777525,
+        7.633333333333308,
+        7.6388888888888635,
+        7.644444444444419,
+        7.649999999999975,
+        7.65555555555553,
+        7.661111111111086,
+        7.666666666666641,
+        7.672222222222197,
+        7.677777777777752,
+        7.683333333333308,
+        7.688888888888863,
+        7.694444444444419,
+        7.699999999999974,
+        7.70555555555553,
+        7.7111111111110855,
+        7.716666666666641,
+        7.722222222222197,
+        7.727777777777752,
+        7.733333333333308,
+        7.738888888888863,
+        7.744444444444419,
+        7.749999999999974,
+        7.75555555555553,
+        7.761111111111085,
+        7.766666666666641,
+        7.772222222222196,
+        7.777777777777752,
+        7.7833333333333075,
+        7.788888888888863,
+        7.7944444444444185,
+        7.799999999999974,
+        7.80555555555553,
+        7.811111111111085,
+        7.816666666666641,
+        7.822222222222196,
+        7.827777777777752,
+        7.833333333333307,
+        7.838888888888863,
+        7.844444444444418,
+        7.849999999999974,
+        7.855555555555529,
+        7.861111111111085,
+        7.8666666666666405,
+        7.872222222222196,
+        7.877777777777752,
+        7.883333333333307,
+        7.888888888888863,
+        7.894444444444418,
+        7.899999999999974,
+        7.905555555555529,
+        7.911111111111085,
+        7.91666666666664,
+        7.922222222222196,
+        7.927777777777751,
+        7.933333333333307,
+        7.9388888888888625,
+        7.944444444444418,
+        7.9499999999999735,
+        7.955555555555529,
+        7.961111111111085,
+        7.96666666666664,
+        7.972222222222196,
+        7.977777777777751,
+        7.983333333333307,
+        7.988888888888862,
+        7.994444444444418,
+        7.999999999999973,
+        8.00555555555553,
+        8.011111111111086,
+        8.016666666666643,
+        8.022222222222199,
+        8.027777777777755,
+        8.033333333333312,
+        8.038888888888868,
+        8.044444444444425,
+        8.049999999999981,
+        8.055555555555538,
+        8.061111111111094,
+        8.06666666666665,
+        8.072222222222207,
+        8.077777777777763,
+        8.08333333333332,
+        8.088888888888876,
+        8.094444444444433,
+        8.099999999999989,
+        8.105555555555545,
+        8.111111111111102,
+        8.116666666666658,
+        8.122222222222215,
+        8.127777777777771,
+        8.133333333333328,
+        8.138888888888884,
+        8.14444444444444,
+        8.149999999999997,
+        8.155555555555553,
+        8.16111111111111,
+        8.166666666666666,
+        8.172222222222222,
+        8.177777777777779,
+        8.183333333333335,
+        8.188888888888892,
+        8.194444444444448,
+        8.200000000000005,
+        8.205555555555561,
+        8.211111111111117,
+        8.216666666666674,
+        8.22222222222223,
+        8.227777777777787,
+        8.233333333333343,
+        8.2388888888889,
+        8.244444444444456,
+        8.250000000000012,
+        8.255555555555569,
+        8.261111111111125,
+        8.266666666666682,
+        8.272222222222238,
+        8.277777777777795,
+        8.283333333333351,
+        8.288888888888907,
+        8.294444444444464,
+        8.30000000000002,
+        8.305555555555577,
+        8.311111111111133,
+        8.31666666666669,
+        8.322222222222246,
+        8.327777777777802,
+        8.333333333333359,
+        8.338888888888915,
+        8.344444444444472,
+        8.350000000000028,
+        8.355555555555584,
+        8.361111111111141,
+        8.366666666666697,
+        8.372222222222254,
+        8.37777777777781,
+        8.383333333333367,
+        8.388888888888923,
+        8.39444444444448,
+        8.400000000000036,
+        8.405555555555592,
+        8.411111111111149,
+        8.416666666666705,
+        8.422222222222262,
+        8.427777777777818,
+        8.433333333333374,
+        8.43888888888893,
+        8.444444444444487,
+        8.450000000000044,
+        8.4555555555556,
+        8.461111111111157,
+        8.466666666666713,
+        8.47222222222227,
+        8.477777777777826,
+        8.483333333333382,
+        8.488888888888939,
+        8.494444444444495,
+        8.500000000000052,
+        8.505555555555608,
+        8.511111111111164,
+        8.51666666666672,
+        8.522222222222277,
+        8.527777777777834,
+        8.53333333333339,
+        8.538888888888946,
+        8.544444444444503,
+        8.55000000000006,
+        8.555555555555616,
+        8.561111111111172,
+        8.566666666666729,
+        8.572222222222285,
+        8.577777777777841,
+        8.583333333333398,
+        8.588888888888954,
+        8.59444444444451,
+        8.600000000000067,
+        8.605555555555624,
+        8.61111111111118,
+        8.616666666666736,
+        8.622222222222293,
+        8.62777777777785,
+        8.633333333333406,
+        8.638888888888962,
+        8.644444444444519,
+        8.650000000000075,
+        8.655555555555631,
+        8.661111111111188,
+        8.666666666666744,
+        8.6722222222223,
+        8.677777777777857,
+        8.683333333333414,
+        8.68888888888897,
+        8.694444444444526,
+        8.700000000000083,
+        8.70555555555564,
+        8.711111111111196,
+        8.716666666666752,
+        8.722222222222308,
+        8.727777777777865,
+        8.733333333333421,
+        8.738888888888978,
+        8.744444444444534,
+        8.75000000000009,
+        8.755555555555647,
+        8.761111111111203,
+        8.76666666666676,
+        8.772222222222316,
+        8.777777777777873,
+        8.78333333333343,
+        8.788888888888986,
+        8.794444444444542,
+        8.800000000000098,
+        8.805555555555655,
+        8.811111111111211,
+        8.816666666666768,
+        8.822222222222324,
+        8.82777777777788,
+        8.833333333333437,
+        8.838888888888993,
+        8.84444444444455,
+        8.850000000000106,
+        8.855555555555663,
+        8.861111111111219,
+        8.866666666666775,
+        8.872222222222332,
+        8.877777777777888,
+        8.883333333333445,
+        8.888888888889001,
+        8.894444444444558,
+        8.900000000000114,
+        8.90555555555567,
+        8.911111111111227,
+        8.916666666666783,
+        8.92222222222234,
+        8.927777777777896,
+        8.933333333333453,
+        8.938888888889009,
+        8.944444444444565,
+        8.950000000000122,
+        8.955555555555678,
+        8.961111111111235,
+        8.966666666666791,
+        8.972222222222348,
+        8.977777777777904,
+        8.98333333333346,
+        8.988888888889017,
+        8.994444444444573,
+        9.00000000000013,
+        9.005555555555686,
+        9.011111111111243,
+        9.016666666666799,
+        9.022222222222355,
+        9.027777777777912,
+        9.033333333333468,
+        9.038888888889025,
+        9.044444444444581,
+        9.050000000000137,
+        9.055555555555694,
+        9.06111111111125,
+        9.066666666666807,
+        9.072222222222363,
+        9.07777777777792,
+        9.083333333333476,
+        9.088888888889032,
+        9.094444444444589,
+        9.100000000000145,
+        9.105555555555702,
+        9.111111111111258,
+        9.116666666666815,
+        9.122222222222371,
+        9.127777777777927,
+        9.133333333333484,
+        9.13888888888904,
+        9.144444444444597,
+        9.150000000000153,
+        9.15555555555571,
+        9.161111111111266,
+        9.166666666666822,
+        9.172222222222379,
+        9.177777777777935,
+        9.183333333333492,
+        9.188888888889048,
+        9.194444444444605,
+        9.200000000000161,
+        9.205555555555717,
+        9.211111111111274,
+        9.21666666666683,
+        9.222222222222387,
+        9.227777777777943,
+        9.2333333333335,
+        9.238888888889056,
+        9.244444444444612,
+        9.250000000000169,
+        9.255555555555725,
+        9.261111111111282,
+        9.266666666666838,
+        9.272222222222394,
+        9.27777777777795,
+        9.283333333333507,
+        9.288888888889064,
+        9.29444444444462,
+        9.300000000000177,
+        9.305555555555733,
+        9.31111111111129,
+        9.316666666666846,
+        9.322222222222402,
+        9.327777777777959,
+        9.333333333333515,
+        9.338888888889072,
+        9.344444444444628,
+        9.350000000000184,
+        9.35555555555574,
+        9.361111111111297,
+        9.366666666666854,
+        9.37222222222241,
+        9.377777777777967,
+        9.383333333333523,
+        9.38888888888908,
+        9.394444444444636,
+        9.400000000000192,
+        9.405555555555749,
+        9.411111111111305,
+        9.416666666666861,
+        9.422222222222418,
+        9.427777777777974,
+        9.43333333333353,
+        9.438888888889087,
+        9.444444444444644,
+        9.4500000000002,
+        9.455555555555756,
+        9.461111111111313,
+        9.46666666666687,
+        9.472222222222426,
+        9.477777777777982,
+        9.483333333333539,
+        9.488888888889095,
+        9.494444444444651,
+        9.500000000000208,
+        9.505555555555764,
+        9.51111111111132,
+        9.516666666666877,
+        9.522222222222434,
+        9.52777777777799,
+        9.533333333333546,
+        9.538888888889103,
+        9.54444444444466,
+        9.550000000000216,
+        9.555555555555772,
+        9.561111111111328,
+        9.566666666666885,
+        9.572222222222441,
+        9.577777777777998,
+        9.583333333333554,
+        9.58888888888911,
+        9.594444444444667,
+        9.600000000000223,
+        9.60555555555578,
+        9.611111111111336,
+        9.616666666666893,
+        9.62222222222245,
+        9.627777777778006,
+        9.633333333333562,
+        9.638888888889118,
+        9.644444444444675,
+        9.650000000000231,
+        9.655555555555788,
+        9.661111111111344,
+        9.6666666666669,
+        9.672222222222457,
+        9.677777777778013,
+        9.68333333333357,
+        9.688888888889126,
+        9.694444444444683,
+        9.700000000000239,
+        9.705555555555796,
+        9.711111111111352,
+        9.716666666666908,
+        9.722222222222465,
+        9.727777777778021,
+        9.733333333333578,
+        9.738888888889134,
+        9.74444444444469,
+        9.750000000000247,
+        9.755555555555803,
+        9.76111111111136,
+        9.766666666666916,
+        9.772222222222473,
+        9.777777777778029,
+        9.783333333333585,
+        9.788888888889142,
+        9.794444444444698,
+        9.800000000000255,
+        9.805555555555811,
+        9.811111111111368,
+        9.816666666666924,
+        9.82222222222248,
+        9.827777777778037,
+        9.833333333333593,
+        9.83888888888915,
+        9.844444444444706,
+        9.850000000000263,
+        9.855555555555819,
+        9.861111111111375,
+        9.866666666666932,
+        9.872222222222488,
+        9.877777777778045,
+        9.883333333333601,
+        9.888888888889158,
+        9.894444444444714,
+        9.90000000000027,
+        9.905555555555827,
+        9.911111111111383,
+        9.91666666666694,
+        9.922222222222496,
+        9.927777777778052,
+        9.933333333333609,
+        9.938888888889165,
+        9.944444444444722,
+        9.950000000000278,
+        9.955555555555835,
+        9.961111111111391,
+        9.966666666666947,
+        9.972222222222504,
+        9.97777777777806,
+        9.983333333333617,
+        9.988888888889173,
+        9.99444444444473,
+        10.000000000000286,
+        10.005555555555842,
+        10.011111111111399,
+        10.016666666666955,
+        10.022222222222512,
+        10.027777777778068,
+        10.033333333333625,
+        10.038888888889181,
+        10.044444444444737,
+        10.050000000000294,
+        10.05555555555585,
+        10.061111111111407,
+        10.066666666666963,
+        10.07222222222252,
+        10.077777777778076,
+        10.083333333333632,
+        10.088888888889189,
+        10.094444444444745,
+        10.100000000000302,
+        10.105555555555858,
+        10.111111111111414,
+        10.116666666666971,
+        10.122222222222527,
+        10.127777777778084,
+        10.13333333333364,
+        10.138888888889197,
+        10.144444444444753,
+        10.15000000000031,
+        10.155555555555866,
+        10.161111111111422,
+        10.166666666666979,
+        10.172222222222535,
+        10.177777777778092,
+        10.183333333333648,
+        10.188888888889204,
+        10.19444444444476,
+        10.200000000000317,
+        10.205555555555874,
+        10.21111111111143,
+        10.216666666666987,
+        10.222222222222543,
+        10.2277777777781,
+        10.233333333333656,
+        10.238888888889212,
+        10.244444444444769,
+        10.250000000000325,
+        10.255555555555881,
+        10.261111111111438,
+        10.266666666666994,
+        10.27222222222255,
+        10.277777777778107,
+        10.283333333333664,
+        10.28888888888922,
+        10.294444444444776,
+        10.300000000000333,
+        10.30555555555589,
+        10.311111111111446,
+        10.316666666667002,
+        10.322222222222559,
+        10.327777777778115,
+        10.333333333333671,
+        10.338888888889228,
+        10.344444444444784,
+        10.35000000000034,
+        10.355555555555897,
+        10.361111111111454,
+        10.36666666666701,
+        10.372222222222566,
+        10.377777777778123,
+        10.38333333333368,
+        10.388888888889236,
+        10.394444444444792,
+        10.400000000000349,
+        10.405555555555905,
+        10.411111111111461,
+        10.416666666667018,
+        10.422222222222574,
+        10.42777777777813,
+        10.433333333333687,
+        10.438888888889243,
+        10.4444444444448,
+        10.450000000000356,
+        10.455555555555913,
+        10.46111111111147,
+        10.466666666667026,
+        10.472222222222582,
+        10.477777777778138,
+        10.483333333333695,
+        10.488888888889251,
+        10.494444444444808,
+        10.500000000000364,
+        10.50555555555592,
+        10.511111111111477,
+        10.516666666667033,
+        10.52222222222259,
+        10.527777777778146,
+        10.533333333333703,
+        10.53888888888926,
+        10.544444444444816,
+        10.550000000000372,
+        10.555555555555928,
+        10.561111111111485,
+        10.566666666667041,
+        10.572222222222598,
+        10.577777777778154,
+        10.58333333333371,
+        10.588888888889267,
+        10.594444444444823,
+        10.60000000000038,
+        10.605555555555936,
+        10.611111111111493,
+        10.616666666667049,
+        10.622222222222605,
+        10.627777777778162,
+        10.633333333333718,
+        10.638888888889275,
+        10.644444444444831,
+        10.650000000000388,
+        10.655555555555944,
+        10.6611111111115,
+        10.666666666667057,
+        10.672222222222613,
+        10.67777777777817,
+        10.683333333333726,
+        10.688888888889283,
+        10.694444444444839,
+        10.700000000000395,
+        10.705555555555952,
+        10.711111111111508,
+        10.716666666667065,
+        10.722222222222621,
+        10.727777777778178,
+        10.733333333333734,
+        10.73888888888929,
+        10.744444444444847,
+        10.750000000000403,
+        10.75555555555596,
+        10.761111111111516,
+        10.766666666667073,
+        10.772222222222629,
+        10.777777777778185,
+        10.783333333333742,
+        10.788888888889298,
+        10.794444444444855,
+        10.800000000000411,
+        10.805555555555967,
+        10.811111111111524,
+        10.81666666666708,
+        10.822222222222637,
+        10.827777777778193,
+        10.83333333333375,
+        10.838888888889306,
+        10.844444444444862,
+        10.850000000000419,
+        10.855555555555975,
+        10.861111111111532,
+        10.866666666667088,
+        10.872222222222645,
+        10.877777777778201,
+        10.883333333333757,
+        10.888888888889314,
+        10.89444444444487,
+        10.900000000000427,
+        10.905555555555983,
+        10.91111111111154,
+        10.916666666667096,
+        10.922222222222652,
+        10.927777777778209,
+        10.933333333333765,
+        10.938888888889322,
+        10.944444444444878,
+        10.950000000000434,
+        10.955555555555991,
+        10.961111111111547,
+        10.966666666667104,
+        10.97222222222266,
+        10.977777777778217,
+        10.983333333333773,
+        10.98888888888933,
+        10.994444444444886,
+        11.000000000000442,
+        11.005555555555999,
+        11.011111111111555,
+        11.016666666667112,
+        11.022222222222668,
+        11.027777777778224,
+        11.03333333333378,
+        11.038888888889337,
+        11.044444444444894,
+        11.05000000000045,
+        11.055555555556007,
+        11.061111111111563,
+        11.06666666666712,
+        11.072222222222676,
+        11.077777777778232,
+        11.083333333333789,
+        11.088888888889345,
+        11.094444444444902,
+        11.100000000000458,
+        11.105555555556014,
+        11.11111111111157,
+        11.116666666667127,
+        11.122222222222684,
+        11.12777777777824,
+        11.133333333333796,
+        11.138888888889353,
+        11.14444444444491,
+        11.150000000000466,
+        11.155555555556022,
+        11.161111111111579,
+        11.166666666667135,
+        11.172222222222691,
+        11.177777777778248,
+        11.183333333333804,
+        11.18888888888936,
+        11.194444444444917,
+        11.200000000000474,
+        11.20555555555603,
+        11.211111111111586,
+        11.216666666667143,
+        11.2222222222227,
+        11.227777777778256,
+        11.233333333333812,
+        11.238888888889369,
+        11.244444444444925,
+        11.250000000000481,
+        11.255555555556038,
+        11.261111111111594,
+        11.26666666666715,
+        11.272222222222707,
+        11.277777777778264,
+        11.28333333333382,
+        11.288888888889376,
+        11.294444444444933,
+        11.30000000000049,
+        11.305555555556046,
+        11.311111111111602,
+        11.316666666667158,
+        11.322222222222715,
+        11.327777777778271,
+        11.333333333333828,
+        11.338888888889384,
+        11.34444444444494,
+        11.350000000000497,
+        11.355555555556053,
+        11.36111111111161,
+        11.366666666667166,
+        11.372222222222723,
+        11.37777777777828,
+        11.383333333333836,
+        11.388888888889392,
+        11.394444444444948,
+        11.400000000000505,
+        11.405555555556061,
+        11.411111111111618,
+        11.416666666667174,
+        11.42222222222273,
+        11.427777777778287,
+        11.433333333333843,
+        11.4388888888894,
+        11.444444444444956,
+        11.450000000000513,
+        11.455555555556069,
+        11.461111111111626,
+        11.466666666667182,
+        11.472222222222738,
+        11.477777777778295,
+        11.483333333333851,
+        11.488888888889408,
+        11.494444444444964,
+        11.50000000000052,
+        11.505555555556077,
+        11.511111111111633,
+        11.51666666666719,
+        11.522222222222746,
+        11.527777777778303,
+        11.533333333333859,
+        11.538888888889415,
+        11.544444444444972,
+        11.550000000000528,
+        11.555555555556085,
+        11.561111111111641,
+        11.566666666667198,
+        11.572222222222754,
+        11.57777777777831,
+        11.583333333333867,
+        11.588888888889423,
+        11.59444444444498,
+        11.600000000000536,
+        11.605555555556093,
+        11.611111111111649,
+        11.616666666667205,
+        11.622222222222762,
+        11.627777777778318,
+        11.633333333333875,
+        11.638888888889431,
+        11.644444444444987,
+        11.650000000000544,
+        11.6555555555561,
+        11.661111111111657,
+        11.666666666667213,
+        11.67222222222277,
+        11.677777777778326,
+        11.683333333333882,
+        11.688888888889439,
+        11.694444444444995,
+        11.700000000000552,
+        11.705555555556108,
+        11.711111111111665,
+        11.716666666667221,
+        11.722222222222777,
+        11.727777777778334,
+        11.73333333333389,
+        11.738888888889447,
+        11.744444444445003,
+        11.75000000000056,
+        11.755555555556116,
+        11.761111111111672,
+        11.766666666667229,
+        11.772222222222785,
+        11.777777777778342,
+        11.783333333333898,
+        11.788888888889455,
+        11.794444444445011,
+        11.800000000000567,
+        11.805555555556124,
+        11.81111111111168,
+        11.816666666667237,
+        11.822222222222793,
+        11.82777777777835,
+        11.833333333333906,
+        11.838888888889462,
+        11.844444444445019,
+        11.850000000000575,
+        11.855555555556132,
+        11.861111111111688,
+        11.866666666667244,
+        11.8722222222228,
+        11.877777777778357,
+        11.883333333333914,
+        11.88888888888947,
+        11.894444444445027,
+        11.900000000000583,
+        11.90555555555614,
+        11.911111111111696,
+        11.916666666667252,
+        11.922222222222809,
+        11.927777777778365,
+        11.933333333333922,
+        11.938888888889478,
+        11.944444444445034,
+        11.95000000000059,
+        11.955555555556147,
+        11.961111111111704,
+        11.96666666666726,
+        11.972222222222817,
+        11.977777777778373,
+        11.98333333333393,
+        11.988888888889486,
+        11.994444444445042,
+        12.000000000000599,
+        12.005555555556155,
+        12.011111111111711,
+        12.016666666667268,
+        12.022222222222824,
+        12.02777777777838,
+        12.033333333333937,
+        12.038888888889494,
+        12.04444444444505,
+        12.050000000000606,
+        12.055555555556163,
+        12.06111111111172,
+        12.066666666667276,
+        12.072222222222832,
+        12.077777777778389,
+        12.083333333333945,
+        12.088888888889501,
+        12.094444444445058,
+        12.100000000000614,
+        12.10555555555617,
+        12.111111111111727,
+        12.116666666667284,
+        12.12222222222284,
+        12.127777777778396,
+        12.133333333333953,
+        12.13888888888951,
+        12.144444444445066,
+        12.150000000000622,
+        12.155555555556179,
+        12.161111111111735,
+        12.166666666667291,
+        12.172222222222848,
+        12.177777777778404,
+        12.18333333333396,
+        12.188888888889517,
+        12.194444444445073,
+        12.20000000000063,
+        12.205555555556186,
+        12.211111111111743,
+        12.2166666666673,
+        12.222222222222856,
+        12.227777777778412,
+        12.233333333333968,
+        12.238888888889525,
+        12.244444444445081,
+        12.250000000000638,
+        12.255555555556194,
+        12.26111111111175,
+        12.266666666667307,
+        12.272222222222863,
+        12.27777777777842,
+        12.283333333333976,
+        12.288888888889533,
+        12.294444444445089,
+        12.300000000000646,
+        12.305555555556202,
+        12.311111111111758,
+        12.316666666667315,
+        12.322222222222871,
+        12.327777777778428,
+        12.333333333333984,
+        12.33888888888954,
+        12.344444444445097,
+        12.350000000000653,
+        12.35555555555621,
+        12.361111111111766,
+        12.366666666667323,
+        12.372222222222879,
+        12.377777777778435,
+        12.383333333333992,
+        12.388888888889548,
+        12.394444444445105,
+        12.400000000000661,
+        12.405555555556218,
+        12.411111111111774,
+        12.41666666666733,
+        12.422222222222887,
+        12.427777777778443,
+        12.433333333334,
+        12.438888888889556,
+        12.444444444445113,
+        12.450000000000669,
+        12.455555555556225,
+        12.461111111111782,
+        12.466666666667338,
+        12.472222222222895,
+        12.477777777778451,
+        12.483333333334008,
+        12.488888888889564,
+        12.49444444444512,
+        12.500000000000677,
+        12.505555555556233,
+        12.51111111111179,
+        12.516666666667346,
+        12.522222222222902,
+        12.527777777778459,
+        12.533333333334015,
+        12.538888888889572,
+        12.544444444445128,
+        12.550000000000685,
+        12.555555555556241,
+        12.561111111111797,
+        12.566666666667354,
+        12.57222222222291,
+        12.577777777778467,
+        12.583333333334023,
+        12.58888888888958,
+        12.594444444445136,
+        12.600000000000692,
+        12.605555555556249,
+        12.611111111111805,
+        12.616666666667362,
+        12.622222222222918,
+        12.627777777778475,
+        12.633333333334031,
+        12.638888888889587,
+        12.644444444445144,
+        12.6500000000007,
+        12.655555555556257,
+        12.661111111111813,
+        12.66666666666737,
+        12.672222222222926,
+        12.677777777778482,
+        12.683333333334039,
+        12.688888888889595,
+        12.694444444445152,
+        12.700000000000708,
+        12.705555555556264,
+        12.711111111111821,
+        12.716666666667377,
+        12.722222222222934,
+        12.72777777777849,
+        12.733333333334047,
+        12.738888888889603,
+        12.74444444444516,
+        12.750000000000716,
+        12.755555555556272,
+        12.761111111111829,
+        12.766666666667385,
+        12.772222222222942,
+        12.777777777778498,
+        12.783333333334054,
+        12.78888888888961,
+        12.794444444445167,
+        12.800000000000724,
+        12.80555555555628,
+        12.811111111111837,
+        12.816666666667393,
+        12.82222222222295,
+        12.827777777778506,
+        12.833333333334062,
+        12.838888888889619,
+        12.844444444445175,
+        12.850000000000732,
+        12.855555555556288,
+        12.861111111111844,
+        12.8666666666674,
+        12.872222222222957,
+        12.877777777778514,
+        12.88333333333407,
+        12.888888888889626,
+        12.894444444445183,
+        12.90000000000074,
+        12.905555555556296,
+        12.911111111111852,
+        12.916666666667409,
+        12.922222222222965,
+        12.927777777778521,
+        12.933333333334078,
+        12.938888888889634,
+        12.94444444444519,
+        12.950000000000747,
+        12.955555555556304,
+        12.96111111111186,
+        12.966666666667416,
+        12.972222222222973,
+        12.97777777777853,
+        12.983333333334086,
+        12.988888888889642,
+        12.994444444445199,
+        13.000000000000755,
+        13.005555555556311,
+        13.011111111111868,
+        13.016666666667424,
+        13.02222222222298,
+        13.027777777778537,
+        13.033333333334093,
+        13.03888888888965,
+        13.044444444445206,
+        13.050000000000763,
+        13.05555555555632,
+        13.061111111111876,
+        13.066666666667432,
+        13.072222222222988,
+        13.077777777778545,
+        13.083333333334101,
+        13.088888888889658,
+        13.094444444445214,
+        13.10000000000077,
+        13.105555555556327,
+        13.111111111111883,
+        13.11666666666744,
+        13.122222222222996,
+        13.127777777778553,
+        13.13333333333411,
+        13.138888888889666,
+        13.144444444445222,
+        13.150000000000778,
+        13.155555555556335,
+        13.161111111111891,
+        13.166666666667448,
+        13.172222222223004,
+        13.17777777777856,
+        13.183333333334117,
+        13.188888888889673,
+        13.19444444444523,
+        13.200000000000786,
+        13.205555555556343,
+        13.211111111111899,
+        13.216666666667455,
+        13.222222222223012,
+        13.227777777778568,
+        13.233333333334125,
+        13.238888888889681,
+        13.244444444445238,
+        13.250000000000794,
+        13.25555555555635,
+        13.261111111111907,
+        13.266666666667463,
+        13.27222222222302,
+        13.277777777778576,
+        13.283333333334133,
+        13.288888888889689,
+        13.294444444445245,
+        13.300000000000802,
+        13.305555555556358,
+        13.311111111111915,
+        13.316666666667471,
+        13.322222222223028,
+        13.327777777778584,
+        13.33333333333414,
+        13.338888888889697,
+        13.344444444445253,
+        13.35000000000081,
+        13.355555555556366,
+        13.361111111111923,
+        13.366666666667479,
+        13.372222222223035,
+        13.377777777778592,
+        13.383333333334148,
+        13.388888888889705,
+        13.394444444445261,
+        13.400000000000817,
+        13.405555555556374,
+        13.41111111111193,
+        13.416666666667487,
+        13.422222222223043,
+        13.4277777777786,
+        13.433333333334156,
+        13.438888888889712,
+        13.444444444445269,
+        13.450000000000825,
+        13.455555555556382,
+        13.461111111111938,
+        13.466666666667495,
+        13.472222222223051,
+        13.477777777778607,
+        13.483333333334164,
+        13.48888888888972,
+        13.494444444445277,
+        13.500000000000833,
+        13.50555555555639,
+        13.511111111111946,
+        13.516666666667502,
+        13.522222222223059,
+        13.527777777778615,
+        13.533333333334172,
+        13.538888888889728,
+        13.544444444445285,
+        13.550000000000841,
+        13.555555555556397,
+        13.561111111111954,
+        13.56666666666751,
+        13.572222222223067,
+        13.577777777778623,
+        13.58333333333418,
+        13.588888888889736,
+        13.594444444445292,
+        13.600000000000849,
+        13.605555555556405,
+        13.611111111111962,
+        13.616666666667518,
+        13.622222222223074,
+        13.62777777777863,
+        13.633333333334187,
+        13.638888888889744,
+        13.6444444444453,
+        13.650000000000857,
+        13.655555555556413,
+        13.66111111111197,
+        13.666666666667526,
+        13.672222222223082,
+        13.677777777778639,
+        13.683333333334195,
+        13.688888888889752,
+        13.694444444445308,
+        13.700000000000864,
+        13.70555555555642,
+        13.711111111111977,
+        13.716666666667534,
+        13.72222222222309,
+        13.727777777778646,
+        13.733333333334203,
+        13.73888888888976,
+        13.744444444445316,
+        13.750000000000872,
+        13.755555555556429,
+        13.761111111111985,
+        13.766666666667541,
+        13.772222222223098,
+        13.777777777778654,
+        13.78333333333421,
+        13.788888888889767,
+        13.794444444445324,
+        13.80000000000088,
+        13.805555555556436,
+        13.811111111111993,
+        13.81666666666755,
+        13.822222222223106,
+        13.827777777778662,
+        13.833333333334219,
+        13.838888888889775,
+        13.844444444445331,
+        13.850000000000888,
+        13.855555555556444,
+        13.861111111112,
+        13.866666666667557,
+        13.872222222223114,
+        13.87777777777867,
+        13.883333333334226,
+        13.888888888889783,
+        13.89444444444534,
+        13.900000000000896,
+        13.905555555556452,
+        13.911111111112008,
+        13.916666666667565,
+        13.922222222223121,
+        13.927777777778678,
+        13.933333333334234,
+        13.93888888888979,
+        13.944444444445347,
+        13.950000000000903,
+        13.95555555555646,
+        13.961111111112016,
+        13.966666666667573,
+        13.97222222222313,
+        13.977777777778686,
+        13.983333333334242,
+        13.988888888889798,
+        13.994444444445355,
+        14.000000000000911,
+        14.005555555556468,
+        14.011111111112024,
+        14.01666666666758,
+        14.022222222223137,
+        14.027777777778693,
+        14.03333333333425,
+        14.038888888889806,
+        14.044444444445363,
+        14.050000000000919,
+        14.055555555556476,
+        14.061111111112032,
+        14.066666666667588,
+        14.072222222223145,
+        14.077777777778701,
+        14.083333333334258,
+        14.088888888889814,
+        14.09444444444537,
+        14.100000000000927,
+        14.105555555556483,
+        14.11111111111204,
+        14.116666666667596,
+        14.122222222223153,
+        14.127777777778709,
+        14.133333333334265,
+        14.138888888889822,
+        14.144444444445378,
+        14.150000000000935,
+        14.155555555556491,
+        14.161111111112048,
+        14.166666666667604,
+        14.17222222222316,
+        14.177777777778717,
+        14.183333333334273,
+        14.18888888888983,
+        14.194444444445386,
+        14.200000000000943,
+        14.205555555556499,
+        14.211111111112055,
+        14.216666666667612,
+        14.222222222223168,
+        14.227777777778725,
+        14.233333333334281,
+        14.238888888889838,
+        14.244444444445394,
+        14.25000000000095,
+        14.255555555556507,
+        14.261111111112063,
+        14.26666666666762,
+        14.272222222223176,
+        14.277777777778732,
+        14.283333333334289,
+        14.288888888889845,
+        14.294444444445402,
+        14.300000000000958,
+        14.305555555556515,
+        14.311111111112071,
+        14.316666666667627,
+        14.322222222223184,
+        14.32777777777874,
+        14.333333333334297,
+        14.338888888889853,
+        14.34444444444541,
+        14.350000000000966,
+        14.355555555556522,
+        14.361111111112079,
+        14.366666666667635,
+        14.372222222223192,
+        14.377777777778748,
+        14.383333333334305,
+        14.388888888889861,
+        14.394444444445417,
+        14.400000000000974,
+        14.40555555555653,
+        14.411111111112087,
+        14.416666666667643,
+        14.4222222222232,
+        14.427777777778756,
+        14.433333333334312,
+        14.438888888889869,
+        14.444444444445425,
+        14.450000000000982,
+        14.455555555556538,
+        14.461111111112094,
+        14.46666666666765,
+        14.472222222223207,
+        14.477777777778764,
+        14.48333333333432,
+        14.488888888889877,
+        14.494444444445433,
+        14.50000000000099,
+        14.505555555556546,
+        14.511111111112102,
+        14.516666666667659,
+        14.522222222223215,
+        14.527777777778772,
+        14.533333333334328,
+        14.538888888889884,
+        14.54444444444544,
+        14.550000000000997,
+        14.555555555556554,
+        14.56111111111211,
+        14.566666666667667,
+        14.572222222223223,
+        14.57777777777878,
+        14.583333333334336,
+        14.588888888889892,
+        14.594444444445449,
+        14.600000000001005,
+        14.605555555556561,
+        14.611111111112118,
+        14.616666666667674,
+        14.62222222222323,
+        14.627777777778787,
+        14.633333333334344,
+        14.6388888888899,
+        14.644444444445456,
+        14.650000000001013,
+        14.65555555555657,
+        14.661111111112126,
+        14.666666666667682,
+        14.672222222223239,
+        14.677777777778795,
+        14.683333333334351,
+        14.688888888889908,
+        14.694444444445464,
+        14.70000000000102,
+        14.705555555556577,
+        14.711111111112134,
+        14.71666666666769,
+        14.722222222223246,
+        14.727777777778803,
+        14.73333333333436,
+        14.738888888889916,
+        14.744444444445472,
+        14.750000000001029,
+        14.755555555556585,
+        14.761111111112141,
+        14.766666666667698,
+        14.772222222223254,
+        14.77777777777881,
+        14.783333333334367,
+        14.788888888889923,
+        14.79444444444548,
+        14.800000000001036,
+        14.805555555556593,
+        14.81111111111215,
+        14.816666666667706,
+        14.822222222223262,
+        14.827777777778818,
+        14.833333333334375,
+        14.838888888889931,
+        14.844444444445488,
+        14.850000000001044,
+        14.8555555555566,
+        14.861111111112157,
+        14.866666666667713,
+        14.87222222222327,
+        14.877777777778826,
+        14.883333333334383,
+        14.888888888889939,
+        14.894444444445496,
+        14.900000000001052,
+        14.905555555556608,
+        14.911111111112165,
+        14.916666666667721,
+        14.922222222223278,
+        14.927777777778834,
+        14.93333333333439,
+        14.938888888889947,
+        14.944444444445503,
+        14.95000000000106,
+        14.955555555556616,
+        14.961111111112173,
+        14.966666666667729,
+        14.972222222223285,
+        14.977777777778842,
+        14.983333333334398,
+        14.988888888889955,
+        14.994444444445511,
+        15.000000000001068,
+        15.005555555556624,
+        15.01111111111218,
+        15.016666666667737,
+        15.022222222223293,
+        15.02777777777885,
+        15.033333333334406,
+        15.038888888889963,
+        15.044444444445519,
+        15.050000000001075,
+        15.055555555556632,
+        15.061111111112188,
+        15.066666666667745,
+        15.072222222223301,
+        15.077777777778858,
+        15.083333333334414,
+        15.08888888888997,
+        15.094444444445527,
+        15.100000000001083,
+        15.10555555555664,
+        15.111111111112196,
+        15.116666666667752,
+        15.122222222223309,
+        15.127777777778865,
+        15.133333333334422,
+        15.138888888889978,
+        15.144444444445535,
+        15.150000000001091,
+        15.155555555556647,
+        15.161111111112204,
+        15.16666666666776,
+        15.172222222223317,
+        15.177777777778873,
+        15.18333333333443,
+        15.188888888889986,
+        15.194444444445542,
+        15.200000000001099,
+        15.205555555556655,
+        15.211111111112212,
+        15.216666666667768,
+        15.222222222223325,
+        15.227777777778881,
+        15.233333333334437,
+        15.238888888889994,
+        15.24444444444555,
+        15.250000000001107,
+        15.255555555556663,
+        15.26111111111222,
+        15.266666666667776,
+        15.272222222223332,
+        15.277777777778889,
+        15.283333333334445,
+        15.288888888890002,
+        15.294444444445558,
+        15.300000000001114,
+        15.305555555556671,
+        15.311111111112227,
+        15.316666666667784,
+        15.32222222222334,
+        15.327777777778897,
+        15.333333333334453,
+        15.33888888889001,
+        15.344444444445566,
+        15.350000000001122,
+        15.355555555556679,
+        15.361111111112235,
+        15.366666666667792,
+        15.372222222223348,
+        15.377777777778904,
+        15.38333333333446,
+        15.388888888890017,
+        15.394444444445574,
+        15.40000000000113,
+        15.405555555556687,
+        15.411111111112243,
+        15.4166666666678,
+        15.422222222223356,
+        15.427777777778912,
+        15.433333333334469,
+        15.438888888890025,
+        15.444444444445582,
+        15.450000000001138,
+        15.455555555556694,
+        15.46111111111225,
+        15.466666666667807,
+        15.472222222223364,
+        15.47777777777892,
+        15.483333333334476,
+        15.488888888890033,
+        15.49444444444559,
+        15.500000000001146,
+        15.505555555556702,
+        15.511111111112259,
+        15.516666666667815,
+        15.522222222223371,
+        15.527777777778928,
+        15.533333333334484,
+        15.53888888889004,
+        15.544444444445597,
+        15.550000000001154,
+        15.55555555555671,
+        15.561111111112266,
+        15.566666666667823,
+        15.57222222222338,
+        15.577777777778936,
+        15.583333333334492,
+        15.588888888890049,
+        15.594444444445605,
+        15.600000000001161,
+        15.605555555556718,
+        15.611111111112274,
+        15.61666666666783,
+        15.622222222223387,
+        15.627777777778944,
+        15.6333333333345,
+        15.638888888890056,
+        15.644444444445613,
+        15.65000000000117,
+        15.655555555556726,
+        15.661111111112282,
+        15.666666666667838,
+        15.672222222223395,
+        15.677777777778951,
+        15.683333333334508,
+        15.688888888890064,
+        15.69444444444562,
+        15.700000000001177,
+        15.705555555556733,
+        15.71111111111229,
+        15.716666666667846,
+        15.722222222223403,
+        15.72777777777896,
+        15.733333333334516,
+        15.738888888890072,
+        15.744444444445628,
+        15.750000000001185,
+        15.755555555556741,
+        15.761111111112298,
+        15.766666666667854,
+        15.77222222222341,
+        15.777777777778967,
+        15.783333333334523,
+        15.78888888889008,
+        15.794444444445636,
+        15.800000000001193,
+        15.805555555556749,
+        15.811111111112305,
+        15.816666666667862,
+        15.822222222223418,
+        15.827777777778975,
+        15.833333333334531,
+        15.838888888890088,
+        15.844444444445644,
+        15.8500000000012,
+        15.855555555556757,
+        15.861111111112313,
+        15.86666666666787,
+        15.872222222223426,
+        15.877777777778983,
+        15.883333333334539,
+        15.888888888890095,
+        15.894444444445652,
+        15.900000000001208,
+        15.905555555556765,
+        15.911111111112321,
+        15.916666666667878,
+        15.922222222223434,
+        15.92777777777899,
+        15.933333333334547,
+        15.938888888890103,
+        15.94444444444566,
+        15.950000000001216,
+        15.955555555556773,
+        15.961111111112329,
+        15.966666666667885,
+        15.972222222223442,
+        15.977777777778998,
+        15.983333333334555,
+        15.988888888890111,
+        15.994444444445667,
+        16.000000000001222,
+        16.00555555555678,
+        16.011111111112335,
+        16.01666666666789,
+        16.022222222223448,
+        16.027777777779004,
+        16.03333333333456,
+        16.038888888890117,
+        16.044444444445674,
+        16.05000000000123,
+        16.055555555556786,
+        16.061111111112343,
+        16.0666666666679,
+        16.072222222223456,
+        16.077777777779012,
+        16.08333333333457,
+        16.088888888890125,
+        16.09444444444568,
+        16.100000000001238,
+        16.105555555556794,
+        16.11111111111235,
+        16.116666666667907,
+        16.122222222223463,
+        16.12777777777902,
+        16.133333333334576,
+        16.138888888890133,
+        16.14444444444569,
+        16.150000000001246,
+        16.155555555556802,
+        16.16111111111236,
+        16.166666666667915,
+        16.17222222222347,
+        16.177777777779028,
+        16.183333333334584,
+        16.18888888889014,
+        16.194444444445697,
+        16.200000000001253,
+        16.20555555555681,
+        16.211111111112366,
+        16.216666666667923,
+        16.22222222222348,
+        16.227777777779036,
+        16.233333333334592,
+        16.23888888889015,
+        16.244444444445705,
+        16.25000000000126,
+        16.255555555556818,
+        16.261111111112374,
+        16.26666666666793,
+        16.272222222223487,
+        16.277777777779043,
+        16.2833333333346,
+        16.288888888890156,
+        16.294444444445713,
+        16.30000000000127,
+        16.305555555556825,
+        16.311111111112382,
+        16.31666666666794,
+        16.322222222223495,
+        16.32777777777905,
+        16.333333333334608,
+        16.338888888890164,
+        16.34444444444572,
+        16.350000000001277,
+        16.355555555556833,
+        16.36111111111239,
+        16.366666666667946,
+        16.372222222223503,
+        16.37777777777906,
+        16.383333333334615,
+        16.388888888890172,
+        16.39444444444573,
+        16.400000000001285,
+        16.40555555555684,
+        16.411111111112398,
+        16.416666666667954,
+        16.42222222222351,
+        16.427777777779067,
+        16.433333333334623,
+        16.43888888889018,
+        16.444444444445736,
+        16.450000000001292,
+        16.45555555555685,
+        16.461111111112405,
+        16.46666666666796,
+        16.472222222223518,
+        16.477777777779075,
+        16.48333333333463,
+        16.488888888890187,
+        16.494444444445744,
+        16.5000000000013,
+        16.505555555556857,
+        16.511111111112413,
+        16.51666666666797,
+        16.522222222223526,
+        16.527777777779082,
+        16.53333333333464,
+        16.538888888890195,
+        16.54444444444575,
+        16.550000000001308,
+        16.555555555556865,
+        16.56111111111242,
+        16.566666666667977,
+        16.572222222223534,
+        16.57777777777909,
+        16.583333333334647,
+        16.588888888890203,
+        16.59444444444576,
+        16.600000000001316,
+        16.605555555556872,
+        16.61111111111243,
+        16.616666666667985,
+        16.62222222222354,
+        16.627777777779098,
+        16.633333333334654,
+        16.63888888889021,
+        16.644444444445767,
+        16.650000000001324,
+        16.65555555555688,
+        16.661111111112437,
+        16.666666666667993,
+        16.67222222222355,
+        16.677777777779106,
+        16.683333333334662,
+        16.68888888889022,
+        16.694444444445775,
+        16.70000000000133,
+        16.705555555556888,
+        16.711111111112444,
+        16.716666666668,
+        16.722222222223557,
+        16.727777777779114,
+        16.73333333333467,
+        16.738888888890227,
+        16.744444444445783,
+        16.75000000000134,
+        16.755555555556896,
+        16.761111111112452,
+        16.76666666666801,
+        16.772222222223565,
+        16.77777777777912,
+        16.783333333334678,
+        16.788888888890234,
+        16.79444444444579,
+        16.800000000001347,
+        16.805555555556904,
+        16.81111111111246,
+        16.816666666668016,
+        16.822222222223573,
+        16.82777777777913,
+        16.833333333334686,
+        16.838888888890242,
+        16.8444444444458,
+        16.850000000001355,
+        16.85555555555691,
+        16.861111111112468,
+        16.866666666668024,
+        16.87222222222358,
+        16.877777777779137,
+        16.883333333334694,
+        16.88888888889025,
+        16.894444444445806,
+        16.900000000001363,
+        16.90555555555692,
+        16.911111111112476,
+        16.916666666668032,
+        16.92222222222359,
+        16.927777777779145,
+        16.9333333333347,
+        16.938888888890258,
+        16.944444444445814,
+        16.95000000000137,
+        16.955555555556927,
+        16.961111111112483,
+        16.96666666666804,
+        16.972222222223596,
+        16.977777777779153,
+        16.98333333333471,
+        16.988888888890266,
+        16.994444444445822,
+        17.00000000000138,
+        17.005555555556935,
+        17.01111111111249,
+        17.016666666668048,
+        17.022222222223604,
+        17.02777777777916,
+        17.033333333334717,
+        17.038888888890273,
+        17.04444444444583,
+        17.050000000001386,
+        17.055555555556943,
+        17.0611111111125,
+        17.066666666668056,
+        17.072222222223612,
+        17.07777777777917,
+        17.083333333334725,
+        17.08888888889028,
+        17.094444444445838,
+        17.100000000001394,
+        17.10555555555695,
+        17.111111111112507,
+        17.116666666668063,
+        17.12222222222362,
+        17.127777777779176,
+        17.133333333334733,
+        17.13888888889029,
+        17.144444444445845,
+        17.150000000001402,
+        17.15555555555696,
+        17.161111111112515,
+        17.16666666666807,
+        17.172222222223628,
+        17.177777777779184,
+        17.18333333333474,
+        17.188888888890297,
+        17.194444444445853,
+        17.20000000000141,
+        17.205555555556966,
+        17.211111111112523,
+        17.21666666666808,
+        17.222222222223635,
+        17.227777777779192,
+        17.23333333333475,
+        17.238888888890305,
+        17.24444444444586,
+        17.250000000001418,
+        17.255555555556974,
+        17.26111111111253,
+        17.266666666668087,
+        17.272222222223643,
+        17.2777777777792,
+        17.283333333334756,
+        17.288888888890313,
+        17.29444444444587,
+        17.300000000001425,
+        17.30555555555698,
+        17.311111111112538,
+        17.316666666668095,
+        17.32222222222365,
+        17.327777777779207,
+        17.333333333334764,
+        17.33888888889032,
+        17.344444444445877,
+        17.350000000001433,
+        17.35555555555699,
+        17.361111111112546,
+        17.366666666668102,
+        17.37222222222366,
+        17.377777777779215,
+        17.38333333333477,
+        17.388888888890328,
+        17.394444444445885,
+        17.40000000000144,
+        17.405555555556997,
+        17.411111111112554,
+        17.41666666666811,
+        17.422222222223667,
+        17.427777777779223,
+        17.43333333333478,
+        17.438888888890336,
+        17.444444444445892,
+        17.45000000000145,
+        17.455555555557005,
+        17.46111111111256,
+        17.466666666668118,
+        17.472222222223674,
+        17.47777777777923,
+        17.483333333334787,
+        17.488888888890344,
+        17.4944444444459,
+        17.500000000001457,
+        17.505555555557013,
+        17.51111111111257,
+        17.516666666668126,
+        17.522222222223682,
+        17.52777777777924,
+        17.533333333334795,
+        17.53888888889035,
+        17.544444444445908,
+        17.550000000001464,
+        17.55555555555702,
+        17.561111111112577,
+        17.566666666668134,
+        17.57222222222369,
+        17.577777777779247,
+        17.583333333334803,
+        17.58888888889036,
+        17.594444444445916,
+        17.600000000001472,
+        17.60555555555703,
+        17.611111111112585,
+        17.61666666666814,
+        17.622222222223698,
+        17.627777777779254,
+        17.63333333333481,
+        17.638888888890367,
+        17.644444444445924,
+        17.65000000000148,
+        17.655555555557036,
+        17.661111111112593,
+        17.66666666666815,
+        17.672222222223706,
+        17.677777777779262,
+        17.68333333333482,
+        17.688888888890375,
+        17.69444444444593,
+        17.700000000001488,
+        17.705555555557044,
+        17.7111111111126,
+        17.716666666668157,
+        17.722222222223714,
+        17.72777777777927,
+        17.733333333334826,
+        17.738888888890383,
+        17.74444444444594,
+        17.750000000001496,
+        17.755555555557052,
+        17.76111111111261,
+        17.766666666668165,
+        17.77222222222372,
+        17.777777777779278,
+        17.783333333334834,
+        17.78888888889039,
+        17.794444444445947,
+        17.800000000001504,
+        17.80555555555706,
+        17.811111111112616,
+        17.816666666668173,
+        17.82222222222373,
+        17.827777777779286,
+        17.833333333334842,
+        17.8388888888904,
+        17.844444444445955,
+        17.85000000000151,
+        17.855555555557068,
+        17.861111111112624,
+        17.86666666666818,
+        17.872222222223737,
+        17.877777777779293,
+        17.88333333333485,
+        17.888888888890406,
+        17.894444444445963,
+        17.90000000000152,
+        17.905555555557076,
+        17.911111111112632,
+        17.91666666666819,
+        17.922222222223745,
+        17.9277777777793,
+        17.933333333334858,
+        17.938888888890414,
+        17.94444444444597,
+        17.950000000001527,
+        17.955555555557083,
+        17.96111111111264,
+        17.966666666668196,
+        17.972222222223753,
+        17.97777777777931,
+        17.983333333334866,
+        17.988888888890422,
+        17.99444444444598,
+        18.000000000001535,
+        18.00555555555709,
+        18.011111111112648,
+        18.016666666668204,
+        18.02222222222376,
+        18.027777777779317,
+        18.033333333334873,
+        18.03888888889043,
+        18.044444444445986,
+        18.050000000001543,
+        18.0555555555571,
+        18.061111111112655,
+        18.066666666668212,
+        18.07222222222377,
+        18.077777777779325,
+        18.08333333333488,
+        18.088888888890438,
+        18.094444444445994,
+        18.10000000000155,
+        18.105555555557107,
+        18.111111111112663,
+        18.11666666666822,
+        18.122222222223776,
+        18.127777777779333,
+        18.13333333333489,
+        18.138888888890445,
+        18.144444444446002,
+        18.150000000001558,
+        18.155555555557115,
+        18.16111111111267,
+        18.166666666668227,
+        18.172222222223784,
+        18.17777777777934,
+        18.183333333334897,
+        18.188888888890453,
+        18.19444444444601,
+        18.200000000001566,
+        18.205555555557122,
+        18.21111111111268,
+        18.216666666668235,
+        18.22222222222379,
+        18.227777777779348,
+        18.233333333334905,
+        18.23888888889046,
+        18.244444444446017,
+        18.250000000001574,
+        18.25555555555713,
+        18.261111111112687,
+        18.266666666668243,
+        18.2722222222238,
+        18.277777777779356,
+        18.283333333334912,
+        18.28888888889047,
+        18.294444444446025,
+        18.30000000000158,
+        18.305555555557138,
+        18.311111111112695,
+        18.31666666666825,
+        18.322222222223807,
+        18.327777777779364,
+        18.33333333333492,
+        18.338888888890477,
+        18.344444444446033,
+        18.35000000000159,
+        18.355555555557146,
+        18.361111111112702,
+        18.36666666666826,
+        18.372222222223815,
+        18.37777777777937,
+        18.383333333334928,
+        18.388888888890484,
+        18.39444444444604,
+        18.400000000001597,
+        18.405555555557154,
+        18.41111111111271,
+        18.416666666668267,
+        18.422222222223823,
+        18.42777777777938,
+        18.433333333334936,
+        18.438888888890492,
+        18.44444444444605,
+        18.450000000001605,
+        18.45555555555716,
+        18.461111111112718,
+        18.466666666668274,
+        18.47222222222383,
+        18.477777777779387,
+        18.483333333334944,
+        18.4888888888905,
+        18.494444444446057,
+        18.500000000001613,
+        18.50555555555717,
+        18.511111111112726,
+        18.516666666668282,
+        18.52222222222384,
+        18.527777777779395,
+        18.53333333333495,
+        18.538888888890508,
+        18.544444444446064,
+        18.55000000000162,
+        18.555555555557177,
+        18.561111111112734,
+        18.56666666666829,
+        18.572222222223846,
+        18.577777777779403,
+        18.58333333333496,
+        18.588888888890516,
+        18.594444444446072,
+        18.60000000000163,
+        18.605555555557185,
+        18.61111111111274,
+        18.616666666668298,
+        18.622222222223854,
+        18.62777777777941,
+        18.633333333334967,
+        18.638888888890524,
+        18.64444444444608,
+        18.650000000001636,
+        18.655555555557193,
+        18.66111111111275,
+        18.666666666668306,
+        18.672222222223862,
+        18.67777777777942,
+        18.683333333334975,
+        18.68888888889053,
+        18.694444444446088,
+        18.700000000001644,
+        18.7055555555572,
+        18.711111111112757,
+        18.716666666668313,
+        18.72222222222387,
+        18.727777777779426,
+        18.733333333334983,
+        18.73888888889054,
+        18.744444444446096,
+        18.750000000001652,
+        18.75555555555721,
+        18.761111111112765,
+        18.76666666666832,
+        18.772222222223878,
+        18.777777777779434,
+        18.78333333333499,
+        18.788888888890547,
+        18.794444444446103,
+        18.80000000000166,
+        18.805555555557216,
+        18.811111111112773,
+        18.81666666666833,
+        18.822222222223886,
+        18.827777777779442,
+        18.833333333335,
+        18.838888888890555,
+        18.84444444444611,
+        18.850000000001668,
+        18.855555555557224,
+        18.86111111111278,
+        18.866666666668337,
+        18.872222222223893,
+        18.87777777777945,
+        18.883333333335006,
+        18.888888888890563,
+        18.89444444444612,
+        18.900000000001675,
+        18.905555555557232,
+        18.91111111111279,
+        18.916666666668345,
+        18.9222222222239,
+        18.927777777779458,
+        18.933333333335014,
+        18.93888888889057,
+        18.944444444446127,
+        18.950000000001683,
+        18.95555555555724,
+        18.961111111112796,
+        18.966666666668353,
+        18.97222222222391,
+        18.977777777779465,
+        18.983333333335022,
+        18.98888888889058,
+        18.994444444446135,
+        19.00000000000169,
+        19.005555555557248,
+        19.011111111112804,
+        19.01666666666836,
+        19.022222222223917,
+        19.027777777779473,
+        19.03333333333503,
+        19.038888888890586,
+        19.044444444446142,
+        19.0500000000017,
+        19.055555555557255,
+        19.06111111111281,
+        19.066666666668368,
+        19.072222222223925,
+        19.07777777777948,
+        19.083333333335037,
+        19.088888888890594,
+        19.09444444444615,
+        19.100000000001707,
+        19.105555555557263,
+        19.11111111111282,
+        19.116666666668376,
+        19.122222222223932,
+        19.12777777777949,
+        19.133333333335045,
+        19.1388888888906,
+        19.144444444446158,
+        19.150000000001715,
+        19.15555555555727,
+        19.161111111112827,
+        19.166666666668384,
+        19.17222222222394,
+        19.177777777779497,
+        19.183333333335053,
+        19.18888888889061,
+        19.194444444446166,
+        19.200000000001722,
+        19.20555555555728,
+        19.211111111112835,
+        19.21666666666839,
+        19.222222222223948,
+        19.227777777779504,
+        19.23333333333506,
+        19.238888888890617,
+        19.244444444446174,
+        19.25000000000173,
+        19.255555555557287,
+        19.261111111112843,
+        19.2666666666684,
+        19.272222222223956,
+        19.277777777779512,
+        19.28333333333507,
+        19.288888888890625,
+        19.29444444444618,
+        19.300000000001738,
+        19.305555555557294,
+        19.31111111111285,
+        19.316666666668407,
+        19.322222222223964,
+        19.32777777777952,
+        19.333333333335077,
+        19.338888888890633,
+        19.34444444444619,
+        19.350000000001746,
+        19.355555555557302,
+        19.36111111111286,
+        19.366666666668415,
+        19.37222222222397,
+        19.377777777779528,
+        19.383333333335084,
+        19.38888888889064,
+        19.394444444446197,
+        19.400000000001754,
+        19.40555555555731,
+        19.411111111112866,
+        19.416666666668423,
+        19.42222222222398,
+        19.427777777779536,
+        19.433333333335092,
+        19.43888888889065,
+        19.444444444446205,
+        19.45000000000176,
+        19.455555555557318,
+        19.461111111112874,
+        19.46666666666843,
+        19.472222222223987,
+        19.477777777779544,
+        19.4833333333351,
+        19.488888888890656,
+        19.494444444446213,
+        19.50000000000177,
+        19.505555555557326,
+        19.511111111112882,
+        19.51666666666844,
+        19.522222222223995,
+        19.52777777777955,
+        19.533333333335108,
+        19.538888888890664,
+        19.54444444444622,
+        19.550000000001777,
+        19.555555555557333,
+        19.56111111111289,
+        19.566666666668446,
+        19.572222222224003,
+        19.57777777777956,
+        19.583333333335116,
+        19.588888888890672,
+        19.59444444444623,
+        19.600000000001785,
+        19.60555555555734,
+        19.611111111112898,
+        19.616666666668454,
+        19.62222222222401,
+        19.627777777779567,
+        19.633333333335123,
+        19.63888888889068,
+        19.644444444446236,
+        19.650000000001793,
+        19.65555555555735,
+        19.661111111112906,
+        19.666666666668462,
+        19.67222222222402,
+        19.677777777779575,
+        19.68333333333513,
+        19.688888888890688,
+        19.694444444446244,
+        19.7000000000018,
+        19.705555555557357,
+        19.711111111112913,
+        19.71666666666847,
+        19.722222222224026,
+        19.727777777779583,
+        19.73333333333514,
+        19.738888888890695,
+        19.744444444446252,
+        19.75000000000181,
+        19.755555555557365,
+        19.76111111111292,
+        19.766666666668478,
+        19.772222222224034,
+        19.77777777777959,
+        19.783333333335147,
+        19.788888888890703,
+        19.79444444444626,
+        19.800000000001816,
+        19.805555555557373,
+        19.81111111111293,
+        19.816666666668485,
+        19.822222222224042,
+        19.8277777777796,
+        19.833333333335155,
+        19.83888888889071,
+        19.844444444446268,
+        19.850000000001824,
+        19.85555555555738,
+        19.861111111112937,
+        19.866666666668493,
+        19.87222222222405,
+        19.877777777779606,
+        19.883333333335163,
+        19.88888888889072,
+        19.894444444446275,
+        19.900000000001832,
+        19.905555555557388,
+        19.911111111112945,
+        19.9166666666685,
+        19.922222222224057,
+        19.927777777779614,
+        19.93333333333517,
+        19.938888888890727,
+        19.944444444446283,
+        19.95000000000184,
+        19.955555555557396,
+        19.961111111112952,
+        19.96666666666851,
+        19.972222222224065,
+        19.97777777777962,
+        19.983333333335178,
+        19.988888888890735,
+        19.99444444444629,
+        20.000000000001847
+    ],
+    "x": [
+        606,
+        606,
+        606,
+        625.6961550602441,
+        625.6961550602441,
+        625.6961550602441,
+        645.6961550602441,
+        645.6961550602441,
+        645.6961550602441,
+        665.3923101204882,
+        665.3923101204882,
+        665.3923101204882,
+        684.1861625362064,
+        684.1861625362064,
+        684.1861625362064,
+        701.5066706118952,
+        701.5066706118952,
+        701.5066706118952,
+        716.8275594742747,
+        716.8275594742747,
+        716.8275594742747,
+        729.6833116680056,
+        729.6833116680056,
+        729.6833116680056,
+        745.0042005303851,
+        745.0042005303851,
+        745.0042005303851,
+        762.3247086060738,
+        762.3247086060738,
+        762.3247086060738,
+        777.6455974684534,
+        777.6455974684534,
+        777.6455974684534,
+        794.9661055441421,
+        794.9661055441421,
+        794.9661055441421,
+        810.2869944065217,
+        810.2869944065217,
+        810.2869944065217,
+        823.1427466002525,
+        823.1427466002525,
+        823.1427466002525,
+        838.463635462632,
+        838.463635462632,
+        838.463635462632,
+        851.3193876563629,
+        851.3193876563629,
+        851.3193876563629,
+        861.3193876563629,
+        861.3193876563629,
+        861.3193876563629,
+        874.1751398500937,
+        874.1751398500937,
+        874.1751398500937,
+        884.1751398500937,
+        884.1751398500937,
+        884.1751398500937,
+        891.0155427166071,
+        891.0155427166071,
+        891.0155427166071,
+        901.0155427166071,
+        901.0155427166071,
+        901.0155427166071,
+        907.8559455831205,
+        907.8559455831205,
+        907.8559455831205,
+        917.8559455831205,
+        917.8559455831205,
+        917.8559455831205,
+        924.6963484496339,
+        924.6963484496339,
+        924.6963484496339,
+        928.1693120029724,
+        928.1693120029724,
+        928.1693120029724,
+        935.0097148694858,
+        935.0097148694858,
+        935.0097148694858,
+        938.4826784228244,
+        938.4826784228244,
+        938.4826784228244,
+        938.4826784228244,
+        938.4826784228244,
+        938.4826784228244,
+        941.955641976163,
+        941.955641976163,
+        941.955641976163,
+        948.7960448426763,
+        948.7960448426763,
+        948.7960448426763,
+        952.2690083960149,
+        952.2690083960149,
+        952.2690083960149,
+        952.2690083960149,
+        952.2690083960149,
+        952.2690083960149,
+        955.7419719493535,
+        955.7419719493535,
+        955.7419719493535,
+        962.5823748158668,
+        962.5823748158668,
+        962.5823748158668,
+        972.5823748158668,
+        972.5823748158668,
+        972.5823748158668,
+        979.4227776823802,
+        979.4227776823802,
+        979.4227776823802,
+        982.8957412357188,
+        982.8957412357188,
+        982.8957412357188,
+        989.7361441022322,
+        989.7361441022322,
+        989.7361441022322,
+        999.7361441022322,
+        999.7361441022322,
+        999.7361441022322,
+        1012.591896295963,
+        1012.591896295963,
+        1012.591896295963,
+        1027.9127851583426,
+        1027.9127851583426,
+        1027.9127851583426,
+        1040.7685373520733,
+        1040.7685373520733,
+        1040.7685373520733,
+        1056.089426214453,
+        1056.089426214453,
+        1056.089426214453,
+        1068.9451784081837,
+        1068.9451784081837,
+        1068.9451784081837,
+        1084.2660672705633,
+        1084.2660672705633,
+        1084.2660672705633,
+        1101.5865753462522,
+        1101.5865753462522,
+        1101.5865753462522,
+        1120.3804277619704,
+        1120.3804277619704,
+        1120.3804277619704,
+        1137.7009358376592,
+        1137.7009358376592,
+        1137.7009358376592,
+        1156.4947882533775,
+        1156.4947882533775,
+        1156.4947882533775,
+        1173.8152963290663,
+        1173.8152963290663,
+        1173.8152963290663,
+        1192.6091487447845,
+        1192.6091487447845,
+        1192.6091487447845,
+        1212.3053038050286,
+        1212.3053038050286,
+        1212.3053038050286,
+        1232.3053038050286,
+        1232.3053038050286,
+        1232.3053038050286,
+        1252.0014588652728,
+        1252.0014588652728,
+        1252.0014588652728,
+        1272.0014588652728,
+        1272.0014588652728,
+        1272.0014588652728,
+        1291.6976139255169,
+        1291.6976139255169,
+        1291.6976139255169,
+        1311.6976139255169,
+        1311.6976139255169,
+        1311.6976139255169,
+        1331.393768985761,
+        1331.393768985761,
+        1331.393768985761,
+        1350.1876214014792,
+        1350.1876214014792,
+        1350.1876214014792,
+        1369.8837764617233,
+        1369.8837764617233,
+        1369.8837764617233,
+        1388.6776288774415,
+        1388.6776288774415,
+        1388.6776288774415,
+        1408.3737839376856,
+        1408.3737839376856,
+        1408.3737839376856,
+        1427.1676363534039,
+        1427.1676363534039,
+        1427.1676363534039,
+        1444.4881444290927,
+        1444.4881444290927,
+        1444.4881444290927,
+        1459.8090332914724,
+        1459.8090332914724,
+        1459.8090332914724,
+        1477.1295413671612,
+        1477.1295413671612,
+        1477.1295413671612,
+        1492.4504302295409,
+        1492.4504302295409,
+        1492.4504302295409,
+        1509.7709383052297,
+        1509.7709383052297,
+        1509.7709383052297,
+        1525.0918271676094,
+        1525.0918271676094,
+        1525.0918271676094,
+        1537.94757936134,
+        1537.94757936134,
+        1537.94757936134,
+        1547.94757936134,
+        1547.94757936134,
+        1547.94757936134,
+        1560.8033315550708,
+        1560.8033315550708,
+        1560.8033315550708,
+        1570.8033315550708,
+        1570.8033315550708,
+        1570.8033315550708,
+        1583.6590837488015,
+        1583.6590837488015,
+        1583.6590837488015,
+        1593.6590837488015,
+        1593.6590837488015,
+        1593.6590837488015,
+        1600.499486615315,
+        1600.499486615315,
+        1600.499486615315,
+        1603.9724501686535,
+        1603.9724501686535,
+        1603.9724501686535,
+        1610.8128530351669,
+        1610.8128530351669,
+        1610.8128530351669,
+        1614.2858165885054,
+        1614.2858165885054,
+        1614.2858165885054,
+        1621.1262194550188,
+        1621.1262194550188,
+        1621.1262194550188,
+        1624.5991830083574,
+        1624.5991830083574,
+        1624.5991830083574,
+        1624.5991830083574,
+        1624.5991830083574,
+        1624.5991830083574,
+        1621.1262194550188,
+        1621.1262194550188,
+        1621.1262194550188,
+        1621.1262194550188,
+        1621.1262194550188,
+        1621.1262194550188,
+        1617.6532559016803,
+        1617.6532559016803,
+        1617.6532559016803,
+        1617.6532559016803,
+        1617.6532559016803,
+        1617.6532559016803,
+        1614.1802923483417,
+        1614.1802923483417,
+        1614.1802923483417,
+        1607.3398894818283,
+        1607.3398894818283,
+        1607.3398894818283,
+        1597.3398894818283,
+        1597.3398894818283,
+        1597.3398894818283,
+        1590.499486615315,
+        1590.499486615315,
+        1590.499486615315,
+        1580.499486615315,
+        1580.499486615315,
+        1580.499486615315,
+        1573.6590837488015,
+        1573.6590837488015,
+        1573.6590837488015,
+        1563.6590837488015,
+        1563.6590837488015,
+        1563.6590837488015,
+        1550.8033315550708,
+        1550.8033315550708,
+        1550.8033315550708,
+        1535.4824426926912,
+        1535.4824426926912,
+        1535.4824426926912,
+        1522.6266904989604,
+        1522.6266904989604,
+        1522.6266904989604,
+        1507.3058016365808,
+        1507.3058016365808,
+        1507.3058016365808,
+        1494.45004944285,
+        1494.45004944285,
+        1494.45004944285,
+        1479.1291605804704,
+        1479.1291605804704,
+        1479.1291605804704,
+        1461.8086525047815,
+        1461.8086525047815,
+        1461.8086525047815,
+        1443.0148000890633,
+        1443.0148000890633,
+        1443.0148000890633,
+        1425.6942920133745,
+        1425.6942920133745,
+        1425.6942920133745,
+        1406.9004395976563,
+        1406.9004395976563,
+        1406.9004395976563,
+        1389.5799315219674,
+        1389.5799315219674,
+        1389.5799315219674,
+        1370.7860791062492,
+        1370.7860791062492,
+        1370.7860791062492,
+        1351.089924046005,
+        1351.089924046005,
+        1351.089924046005,
+        1331.089924046005,
+        1331.089924046005,
+        1331.089924046005,
+        1311.393768985761,
+        1311.393768985761,
+        1311.393768985761,
+        1291.393768985761,
+        1291.393768985761,
+        1291.393768985761,
+        1271.6976139255169,
+        1271.6976139255169,
+        1271.6976139255169,
+        1251.6976139255169,
+        1251.6976139255169,
+        1251.6976139255169,
+        1232.0014588652728,
+        1232.0014588652728,
+        1232.0014588652728,
+        1213.2076064495545,
+        1213.2076064495545,
+        1213.2076064495545,
+        1193.5114513893104,
+        1193.5114513893104,
+        1193.5114513893104,
+        1174.7175989735922,
+        1174.7175989735922,
+        1174.7175989735922,
+        1155.021443913348,
+        1155.021443913348,
+        1155.021443913348,
+        1136.2275914976299,
+        1136.2275914976299,
+        1136.2275914976299,
+        1118.907083421941,
+        1118.907083421941,
+        1118.907083421941,
+        1103.5861945595614,
+        1103.5861945595614,
+        1103.5861945595614,
+        1086.2656864838725,
+        1086.2656864838725,
+        1086.2656864838725,
+        1070.9447976214929,
+        1070.9447976214929,
+        1070.9447976214929,
+        1053.624289545804,
+        1053.624289545804,
+        1053.624289545804,
+        1038.3034006834243,
+        1038.3034006834243,
+        1038.3034006834243,
+        1025.4476484896936,
+        1025.4476484896936,
+        1025.4476484896936,
+        1015.4476484896936,
+        1015.4476484896936,
+        1015.4476484896936,
+        1002.5918962959629,
+        1002.5918962959629,
+        1002.5918962959629,
+        992.5918962959629,
+        992.5918962959629,
+        992.5918962959629,
+        985.7514934294495,
+        985.7514934294495,
+        985.7514934294495,
+        975.7514934294495,
+        975.7514934294495,
+        975.7514934294495,
+        968.9110905629361,
+        968.9110905629361,
+        968.9110905629361,
+        958.9110905629361,
+        958.9110905629361,
+        958.9110905629361,
+        952.0706876964227,
+        952.0706876964227,
+        952.0706876964227,
+        948.5977241430842,
+        948.5977241430842,
+        948.5977241430842,
+        941.7573212765708,
+        941.7573212765708,
+        941.7573212765708,
+        938.2843577232322,
+        938.2843577232322,
+        938.2843577232322,
+        938.2843577232322,
+        938.2843577232322,
+        938.2843577232322,
+        934.8113941698937,
+        934.8113941698937,
+        934.8113941698937,
+        934.8113941698937,
+        934.8113941698937,
+        934.8113941698937,
+        931.3384306165551,
+        931.3384306165551,
+        931.3384306165551,
+        924.4980277500417,
+        924.4980277500417,
+        924.4980277500417,
+        921.0250641967032,
+        921.0250641967032,
+        921.0250641967032,
+        921.0250641967032,
+        921.0250641967032,
+        921.0250641967032,
+        917.5521006433646,
+        917.5521006433646,
+        917.5521006433646,
+        910.7116977768512,
+        910.7116977768512,
+        910.7116977768512,
+        900.7116977768512,
+        900.7116977768512,
+        900.7116977768512,
+        887.8559455831205,
+        887.8559455831205,
+        887.8559455831205,
+        877.8559455831205,
+        877.8559455831205,
+        877.8559455831205,
+        865.0001933893898,
+        865.0001933893898,
+        865.0001933893898,
+        849.6793045270102,
+        849.6793045270102,
+        849.6793045270102,
+        836.8235523332794,
+        836.8235523332794,
+        836.8235523332794,
+        826.8235523332794,
+        826.8235523332794,
+        826.8235523332794,
+        813.9678001395487,
+        813.9678001395487,
+        813.9678001395487,
+        798.6469112771691,
+        798.6469112771691,
+        798.6469112771691,
+        781.3264032014804,
+        781.3264032014804,
+        781.3264032014804,
+        762.5325507857622,
+        762.5325507857622,
+        762.5325507857622,
+        745.2120427100734,
+        745.2120427100734,
+        745.2120427100734,
+        726.4181902943552,
+        726.4181902943552,
+        726.4181902943552,
+        709.0976822186665,
+        709.0976822186665,
+        709.0976822186665,
+        690.3038298029483,
+        690.3038298029483,
+        690.3038298029483,
+        670.6076747427041,
+        670.6076747427041,
+        670.6076747427041,
+        651.8138223269859,
+        651.8138223269859,
+        651.8138223269859,
+        632.1176672667418,
+        632.1176672667418,
+        632.1176672667418,
+        612.1176672667418,
+        612.1176672667418,
+        612.1176672667418,
+        592.4215122064977,
+        592.4215122064977,
+        592.4215122064977,
+        572.4215122064977,
+        572.4215122064977,
+        572.4215122064977,
+        552.7253571462536,
+        552.7253571462536,
+        552.7253571462536,
+        532.7253571462536,
+        532.7253571462536,
+        532.7253571462536,
+        513.0292020860095,
+        513.0292020860095,
+        513.0292020860095,
+        493.0292020860095,
+        493.0292020860095,
+        493.0292020860095,
+        473.3330470257653,
+        473.3330470257653,
+        473.3330470257653,
+        454.53919461004716,
+        454.53919461004716,
+        454.53919461004716,
+        437.21868653435837,
+        437.21868653435837,
+        437.21868653435837,
+        418.4248341186402,
+        418.4248341186402,
+        418.4248341186402,
+        401.1043260429514,
+        401.1043260429514,
+        401.1043260429514,
+        385.78343718057187,
+        385.78343718057187,
+        385.78343718057187,
+        368.4629291048831,
+        368.4629291048831,
+        368.4629291048831,
+        353.1420402425035,
+        353.1420402425035,
+        353.1420402425035,
+        340.28628804877275,
+        340.28628804877275,
+        340.28628804877275,
+        324.9653991863932,
+        324.9653991863932,
+        324.9653991863932,
+        312.1096469926624,
+        312.1096469926624,
+        312.1096469926624,
+        302.1096469926624,
+        302.1096469926624,
+        302.1096469926624,
+        289.25389479893164,
+        289.25389479893164,
+        289.25389479893164,
+        273.9330059365521,
+        273.9330059365521,
+        273.9330059365521,
+        261.0772537428213,
+        261.0772537428213,
+        261.0772537428213,
+        251.07725374282134,
+        251.07725374282134,
+        251.07725374282134,
+        244.23685087630798,
+        244.23685087630798,
+        244.23685087630798,
+        240.7638873229694,
+        240.7638873229694,
+        240.7638873229694,
+        233.92348445645604,
+        233.92348445645604,
+        233.92348445645604,
+        230.45052090311745,
+        230.45052090311745,
+        230.45052090311745,
+        230.45052090311745,
+        230.45052090311745,
+        230.45052090311745,
+        226.97755734977886,
+        226.97755734977886,
+        226.97755734977886,
+        226.97755734977886,
+        226.97755734977886,
+        226.97755734977886,
+        230.45052090311748,
+        230.45052090311748,
+        230.45052090311748,
+        230.45052090311748,
+        230.45052090311748,
+        230.45052090311748,
+        226.9775573497789,
+        226.9775573497789,
+        226.9775573497789,
+        226.9775573497789,
+        226.9775573497789,
+        226.9775573497789,
+        230.4505209031175,
+        230.4505209031175,
+        230.4505209031175,
+        237.2909237696309,
+        237.2909237696309,
+        237.2909237696309,
+        247.2909237696309,
+        247.2909237696309,
+        247.2909237696309,
+        254.13132663614428,
+        254.13132663614428,
+        254.13132663614428,
+        264.13132663614425,
+        264.13132663614425,
+        264.13132663614425,
+        270.97172950265764,
+        270.97172950265764,
+        270.97172950265764,
+        280.97172950265764,
+        280.97172950265764,
+        280.97172950265764,
+        293.8274816963884,
+        293.8274816963884,
+        293.8274816963884,
+        303.8274816963884,
+        303.8274816963884,
+        303.8274816963884,
+        316.6832338901192,
+        316.6832338901192,
+        316.6832338901192,
+        332.00412275249874,
+        332.00412275249874,
+        332.00412275249874,
+        344.8598749462295,
+        344.8598749462295,
+        344.8598749462295,
+        360.1807638086091,
+        360.1807638086091,
+        360.1807638086091,
+        377.50127188429786,
+        377.50127188429786,
+        377.50127188429786,
+        392.8221607466774,
+        392.8221607466774,
+        392.8221607466774,
+        410.1426688223662,
+        410.1426688223662,
+        410.1426688223662,
+        428.93652123808437,
+        428.93652123808437,
+        428.93652123808437,
+        446.25702931377316,
+        446.25702931377316,
+        446.25702931377316,
+        465.0508817294913,
+        465.0508817294913,
+        465.0508817294913,
+        484.7470367897355,
+        484.7470367897355,
+        484.7470367897355,
+        503.54088920545365,
+        503.54088920545365,
+        503.54088920545365,
+        523.2370442656978,
+        523.2370442656978,
+        523.2370442656978,
+        543.2370442656978,
+        543.2370442656978,
+        543.2370442656978,
+        562.9331993259419,
+        562.9331993259419,
+        562.9331993259419,
+        582.9331993259419,
+        582.9331993259419,
+        582.9331993259419,
+        602.629354386186,
+        602.629354386186,
+        602.629354386186,
+        622.629354386186,
+        622.629354386186,
+        622.629354386186,
+        642.3255094464301,
+        642.3255094464301,
+        642.3255094464301,
+        661.1193618621484,
+        661.1193618621484,
+        661.1193618621484,
+        680.8155169223925,
+        680.8155169223925,
+        680.8155169223925,
+        699.6093693381107,
+        699.6093693381107,
+        699.6093693381107,
+        719.3055243983548,
+        719.3055243983548,
+        719.3055243983548,
+        738.099376814073,
+        738.099376814073,
+        738.099376814073,
+        755.4198848897618,
+        755.4198848897618,
+        755.4198848897618,
+        770.7407737521413,
+        770.7407737521413,
+        770.7407737521413,
+        788.06128182783,
+        788.06128182783,
+        788.06128182783,
+        803.3821706902096,
+        803.3821706902096,
+        803.3821706902096,
+        816.2379228839404,
+        816.2379228839404,
+        816.2379228839404,
+        831.55881174632,
+        831.55881174632,
+        831.55881174632,
+        848.8793198220087,
+        848.8793198220087,
+        848.8793198220087,
+        864.2002086843883,
+        864.2002086843883,
+        864.2002086843883,
+        877.0559608781191,
+        877.0559608781191,
+        877.0559608781191,
+        887.0559608781191,
+        887.0559608781191,
+        887.0559608781191,
+        893.8963637446325,
+        893.8963637446325,
+        893.8963637446325,
+        903.8963637446325,
+        903.8963637446325,
+        903.8963637446325,
+        910.7367666111459,
+        910.7367666111459,
+        910.7367666111459,
+        914.2097301644844,
+        914.2097301644844,
+        914.2097301644844,
+        921.0501330309978,
+        921.0501330309978,
+        921.0501330309978,
+        924.5230965843364,
+        924.5230965843364,
+        924.5230965843364,
+        931.3634994508498,
+        931.3634994508498,
+        931.3634994508498,
+        934.8364630041883,
+        934.8364630041883,
+        934.8364630041883,
+        941.6768658707017,
+        941.6768658707017,
+        941.6768658707017,
+        945.1498294240403,
+        945.1498294240403,
+        945.1498294240403,
+        951.9902322905536,
+        951.9902322905536,
+        951.9902322905536,
+        955.4631958438922,
+        955.4631958438922,
+        955.4631958438922,
+        955.4631958438922,
+        955.4631958438922,
+        955.4631958438922,
+        958.9361593972308,
+        958.9361593972308,
+        958.9361593972308,
+        965.7765622637442,
+        965.7765622637442,
+        965.7765622637442,
+        969.2495258170827,
+        969.2495258170827,
+        969.2495258170827,
+        976.0899286835961,
+        976.0899286835961,
+        976.0899286835961,
+        979.5628922369347,
+        979.5628922369347,
+        979.5628922369347,
+        986.403295103448,
+        986.403295103448,
+        986.403295103448,
+        996.403295103448,
+        996.403295103448,
+        996.403295103448,
+        1009.2590472971789,
+        1009.2590472971789,
+        1009.2590472971789,
+        1019.2590472971789,
+        1019.2590472971789,
+        1019.2590472971789,
+        1032.1147994909097,
+        1032.1147994909097,
+        1032.1147994909097,
+        1047.4356883532894,
+        1047.4356883532894,
+        1047.4356883532894,
+        1064.7561964289782,
+        1064.7561964289782,
+        1064.7561964289782,
+        1080.077085291358,
+        1080.077085291358,
+        1080.077085291358,
+        1097.3975933670467,
+        1097.3975933670467,
+        1097.3975933670467,
+        1112.7184822294264,
+        1112.7184822294264,
+        1112.7184822294264,
+        1130.0389903051152,
+        1130.0389903051152,
+        1130.0389903051152,
+        1148.8328427208335,
+        1148.8328427208335,
+        1148.8328427208335,
+        1166.1533507965223,
+        1166.1533507965223,
+        1166.1533507965223,
+        1184.9472032122405,
+        1184.9472032122405,
+        1184.9472032122405,
+        1204.6433582724846,
+        1204.6433582724846,
+        1204.6433582724846,
+        1224.6433582724846,
+        1224.6433582724846,
+        1224.6433582724846,
+        1244.3395133327288,
+        1244.3395133327288,
+        1244.3395133327288,
+        1264.3395133327288,
+        1264.3395133327288,
+        1264.3395133327288,
+        1284.0356683929729,
+        1284.0356683929729,
+        1284.0356683929729,
+        1304.0356683929729,
+        1304.0356683929729,
+        1304.0356683929729,
+        1323.731823453217,
+        1323.731823453217,
+        1323.731823453217,
+        1343.731823453217,
+        1343.731823453217,
+        1343.731823453217,
+        1363.427978513461,
+        1363.427978513461,
+        1363.427978513461,
+        1382.2218309291793,
+        1382.2218309291793,
+        1382.2218309291793,
+        1399.5423390048682,
+        1399.5423390048682,
+        1399.5423390048682,
+        1418.3361914205864,
+        1418.3361914205864,
+        1418.3361914205864,
+        1435.6566994962752,
+        1435.6566994962752,
+        1435.6566994962752,
+        1454.4505519119934,
+        1454.4505519119934,
+        1454.4505519119934,
+        1471.7710599876823,
+        1471.7710599876823,
+        1471.7710599876823,
+        1487.091948850062,
+        1487.091948850062,
+        1487.091948850062,
+        1504.4124569257508,
+        1504.4124569257508,
+        1504.4124569257508,
+        1519.7333457881305,
+        1519.7333457881305,
+        1519.7333457881305,
+        1532.5890979818612,
+        1532.5890979818612,
+        1532.5890979818612,
+        1542.5890979818612,
+        1542.5890979818612,
+        1542.5890979818612,
+        1555.444850175592,
+        1555.444850175592,
+        1555.444850175592,
+        1565.444850175592,
+        1565.444850175592,
+        1565.444850175592,
+        1578.3006023693226,
+        1578.3006023693226,
+        1578.3006023693226,
+        1588.3006023693226,
+        1588.3006023693226,
+        1588.3006023693226,
+        1595.141005235836,
+        1595.141005235836,
+        1595.141005235836,
+        1605.141005235836,
+        1605.141005235836,
+        1605.141005235836,
+        1611.9814081023494,
+        1611.9814081023494,
+        1611.9814081023494,
+        1615.454371655688,
+        1615.454371655688,
+        1615.454371655688,
+        1615.454371655688,
+        1615.454371655688,
+        1615.454371655688,
+        1618.9273352090265,
+        1618.9273352090265,
+        1618.9273352090265,
+        1618.9273352090265,
+        1618.9273352090265,
+        1618.9273352090265,
+        1622.400298762365,
+        1622.400298762365,
+        1622.400298762365,
+        1622.400298762365,
+        1622.400298762365,
+        1622.400298762365,
+        1618.9273352090265,
+        1618.9273352090265,
+        1618.9273352090265,
+        1618.9273352090265,
+        1618.9273352090265,
+        1618.9273352090265,
+        1615.454371655688,
+        1615.454371655688,
+        1615.454371655688,
+        1608.6139687891746,
+        1608.6139687891746,
+        1608.6139687891746,
+        1598.6139687891746,
+        1598.6139687891746,
+        1598.6139687891746,
+        1591.7735659226612,
+        1591.7735659226612,
+        1591.7735659226612,
+        1581.7735659226612,
+        1581.7735659226612,
+        1581.7735659226612,
+        1574.9331630561478,
+        1574.9331630561478,
+        1574.9331630561478,
+        1564.9331630561478,
+        1564.9331630561478,
+        1564.9331630561478,
+        1552.077410862417,
+        1552.077410862417,
+        1552.077410862417,
+        1542.077410862417,
+        1542.077410862417,
+        1542.077410862417,
+        1529.2216586686864,
+        1529.2216586686864,
+        1529.2216586686864,
+        1513.9007698063067,
+        1513.9007698063067,
+        1513.9007698063067,
+        1496.5802617306178,
+        1496.5802617306178,
+        1496.5802617306178,
+        1481.2593728682382,
+        1481.2593728682382,
+        1481.2593728682382,
+        1463.9388647925493,
+        1463.9388647925493,
+        1463.9388647925493,
+        1448.6179759301697,
+        1448.6179759301697,
+        1448.6179759301697,
+        1431.2974678544808,
+        1431.2974678544808,
+        1431.2974678544808,
+        1412.5036154387626,
+        1412.5036154387626,
+        1412.5036154387626,
+        1395.1831073630738,
+        1395.1831073630738,
+        1395.1831073630738,
+        1376.3892549473555,
+        1376.3892549473555,
+        1376.3892549473555,
+        1356.6930998871114,
+        1356.6930998871114,
+        1356.6930998871114,
+        1336.6930998871114,
+        1336.6930998871114,
+        1336.6930998871114,
+        1316.9969448268673,
+        1316.9969448268673,
+        1316.9969448268673,
+        1296.9969448268673,
+        1296.9969448268673,
+        1296.9969448268673,
+        1277.3007897666232,
+        1277.3007897666232,
+        1277.3007897666232,
+        1257.3007897666232,
+        1257.3007897666232,
+        1257.3007897666232,
+        1237.604634706379,
+        1237.604634706379,
+        1237.604634706379,
+        1217.604634706379,
+        1217.604634706379,
+        1217.604634706379,
+        1197.908479646135,
+        1197.908479646135,
+        1197.908479646135,
+        1179.1146272304168,
+        1179.1146272304168,
+        1179.1146272304168,
+        1161.794119154728,
+        1161.794119154728,
+        1161.794119154728,
+        1143.0002667390097,
+        1143.0002667390097,
+        1143.0002667390097,
+        1125.6797586633209,
+        1125.6797586633209,
+        1125.6797586633209,
+        1106.8859062476026,
+        1106.8859062476026,
+        1106.8859062476026,
+        1089.5653981719138,
+        1089.5653981719138,
+        1089.5653981719138,
+        1074.2445093095341,
+        1074.2445093095341,
+        1074.2445093095341,
+        1056.9240012338453,
+        1056.9240012338453,
+        1056.9240012338453,
+        1041.6031123714656,
+        1041.6031123714656,
+        1041.6031123714656,
+        1028.747360177735,
+        1028.747360177735,
+        1028.747360177735,
+        1018.7473601777349,
+        1018.7473601777349,
+        1018.7473601777349,
+        1005.8916079840042,
+        1005.8916079840042,
+        1005.8916079840042,
+        995.8916079840042,
+        995.8916079840042,
+        995.8916079840042,
+        989.0512051174908,
+        989.0512051174908,
+        989.0512051174908,
+        979.0512051174908,
+        979.0512051174908,
+        979.0512051174908,
+        972.2108022509774,
+        972.2108022509774,
+        972.2108022509774,
+        962.2108022509774,
+        962.2108022509774,
+        962.2108022509774,
+        955.370399384464,
+        955.370399384464,
+        955.370399384464,
+        951.8974358311254,
+        951.8974358311254,
+        951.8974358311254,
+        945.0570329646121,
+        945.0570329646121,
+        945.0570329646121,
+        941.5840694112735,
+        941.5840694112735,
+        941.5840694112735,
+        941.5840694112735,
+        941.5840694112735,
+        941.5840694112735,
+        938.111105857935,
+        938.111105857935,
+        938.111105857935,
+        938.111105857935,
+        938.111105857935,
+        938.111105857935,
+        934.6381423045964,
+        934.6381423045964,
+        934.6381423045964,
+        927.797739438083,
+        927.797739438083,
+        927.797739438083,
+        924.3247758847444,
+        924.3247758847444,
+        924.3247758847444,
+        917.484373018231,
+        917.484373018231,
+        917.484373018231,
+        914.0114094648925,
+        914.0114094648925,
+        914.0114094648925,
+        907.1710065983791,
+        907.1710065983791,
+        907.1710065983791,
+        897.1710065983791,
+        897.1710065983791,
+        897.1710065983791,
+        890.3306037318657,
+        890.3306037318657,
+        890.3306037318657,
+        880.3306037318657,
+        880.3306037318657,
+        880.3306037318657,
+        867.474851538135,
+        867.474851538135,
+        867.474851538135,
+        852.1539626757555,
+        852.1539626757555,
+        852.1539626757555,
+        839.2982104820246,
+        839.2982104820246,
+        839.2982104820246,
+        829.2982104820246,
+        829.2982104820246,
+        829.2982104820246,
+        816.4424582882939,
+        816.4424582882939,
+        816.4424582882939,
+        801.1215694259143,
+        801.1215694259143,
+        801.1215694259143,
+        783.8010613502256,
+        783.8010613502256,
+        783.8010613502256,
+        768.4801724878461,
+        768.4801724878461,
+        768.4801724878461,
+        751.1596644121573,
+        751.1596644121573,
+        751.1596644121573,
+        732.3658119964391,
+        732.3658119964391,
+        732.3658119964391,
+        712.669656936195,
+        712.669656936195,
+        712.669656936195,
+        693.8758045204768,
+        693.8758045204768,
+        693.8758045204768,
+        676.555296444788,
+        676.555296444788,
+        676.555296444788,
+        657.7614440290698,
+        657.7614440290698,
+        657.7614440290698,
+        638.0652889688257,
+        638.0652889688257,
+        638.0652889688257,
+        618.0652889688257,
+        618.0652889688257,
+        618.0652889688257,
+        598.3691339085816,
+        598.3691339085816,
+        598.3691339085816,
+        578.3691339085816,
+        578.3691339085816,
+        578.3691339085816,
+        558.6729788483375,
+        558.6729788483375,
+        558.6729788483375,
+        538.6729788483375,
+        538.6729788483375,
+        538.6729788483375,
+        518.9768237880934,
+        518.9768237880934,
+        518.9768237880934,
+        500.1829713723752,
+        500.1829713723752,
+        500.1829713723752,
+        480.48681631213105,
+        480.48681631213105,
+        480.48681631213105,
+        461.6929638964129,
+        461.6929638964129,
+        461.6929638964129,
+        444.3724558207241,
+        444.3724558207241,
+        444.3724558207241,
+        425.57860340500594,
+        425.57860340500594,
+        425.57860340500594,
+        405.88244834476177,
+        405.88244834476177,
+        405.88244834476177,
+        387.0885959290436,
+        387.0885959290436,
+        387.0885959290436,
+        369.7680878533548,
+        369.7680878533548,
+        369.7680878533548,
+        354.44719899097527,
+        354.44719899097527,
+        354.44719899097527,
+        341.5914467972445,
+        341.5914467972445,
+        341.5914467972445,
+        326.27055793486494,
+        326.27055793486494,
+        326.27055793486494,
+        313.41480574113416,
+        313.41480574113416,
+        313.41480574113416,
+        303.41480574113416,
+        303.41480574113416,
+        303.41480574113416,
+        290.5590535474034,
+        290.5590535474034,
+        290.5590535474034,
+        280.5590535474034,
+        280.5590535474034,
+        280.5590535474034,
+        273.71865068089,
+        273.71865068089,
+        273.71865068089,
+        263.71865068089,
+        263.71865068089,
+        263.71865068089,
+        250.86289848715919,
+        250.86289848715919,
+        250.86289848715919,
+        240.8628984871592,
+        240.8628984871592,
+        240.8628984871592,
+        234.02249562064586,
+        234.02249562064586,
+        234.02249562064586,
+        230.54953206730727,
+        230.54953206730727,
+        230.54953206730727,
+        230.54953206730727,
+        230.54953206730727,
+        230.54953206730727,
+        227.07656851396868,
+        227.07656851396868,
+        227.07656851396868,
+        227.07656851396868,
+        227.07656851396868,
+        227.07656851396868,
+        223.6036049606301,
+        223.6036049606301,
+        223.6036049606301,
+        223.6036049606301,
+        223.6036049606301,
+        223.6036049606301,
+        227.0765685139687,
+        227.0765685139687,
+        227.0765685139687,
+        233.9169713804821,
+        233.9169713804821,
+        233.9169713804821,
+        237.3899349338207,
+        237.3899349338207,
+        237.3899349338207,
+        237.3899349338207,
+        237.3899349338207,
+        237.3899349338207,
+        240.86289848715933,
+        240.86289848715933,
+        240.86289848715933,
+        247.7033013536727,
+        247.7033013536727,
+        247.7033013536727,
+        257.7033013536727,
+        257.7033013536727,
+        257.7033013536727,
+        270.5590535474035,
+        270.5590535474035,
+        270.5590535474035,
+        280.5590535474035,
+        280.5590535474035,
+        280.5590535474035,
+        293.4148057411343,
+        293.4148057411343,
+        293.4148057411343,
+        303.4148057411343,
+        303.4148057411343,
+        303.4148057411343,
+        316.27055793486505,
+        316.27055793486505,
+        316.27055793486505,
+        326.27055793486505,
+        326.27055793486505,
+        326.27055793486505,
+        339.12631012859583,
+        339.12631012859583,
+        339.12631012859583,
+        354.4471989909754,
+        354.4471989909754,
+        354.4471989909754,
+        371.7677070666642,
+        371.7677070666642,
+        371.7677070666642,
+        387.0885959290437,
+        387.0885959290437,
+        387.0885959290437,
+        404.4091040047325,
+        404.4091040047325,
+        404.4091040047325,
+        423.2029564204507,
+        423.2029564204507,
+        423.2029564204507,
+        440.52346449613947,
+        440.52346449613947,
+        440.52346449613947,
+        459.31731691185763,
+        459.31731691185763,
+        459.31731691185763,
+        479.0134719721018,
+        479.0134719721018,
+        479.0134719721018,
+        497.80732438781996,
+        497.80732438781996,
+        497.80732438781996,
+        517.5034794480641,
+        517.5034794480641,
+        517.5034794480641,
+        537.5034794480641,
+        537.5034794480641,
+        537.5034794480641,
+        557.1996345083082,
+        557.1996345083082,
+        557.1996345083082,
+        577.1996345083082,
+        577.1996345083082,
+        577.1996345083082,
+        596.8957895685523,
+        596.8957895685523,
+        596.8957895685523,
+        616.8957895685523,
+        616.8957895685523,
+        616.8957895685523,
+        636.5919446287965,
+        636.5919446287965,
+        636.5919446287965,
+        656.5919446287965,
+        656.5919446287965,
+        656.5919446287965,
+        676.2880996890406,
+        676.2880996890406,
+        676.2880996890406,
+        695.0819521047588,
+        695.0819521047588,
+        695.0819521047588,
+        712.4024601804475,
+        712.4024601804475,
+        712.4024601804475,
+        731.1963125961657,
+        731.1963125961657,
+        731.1963125961657,
+        748.5168206718545,
+        748.5168206718545,
+        748.5168206718545,
+        763.837709534234,
+        763.837709534234,
+        763.837709534234,
+        781.1582176099228,
+        781.1582176099228,
+        781.1582176099228,
+        796.4791064723023,
+        796.4791064723023,
+        796.4791064723023,
+        813.799614547991,
+        813.799614547991,
+        813.799614547991,
+        829.1205034103706,
+        829.1205034103706,
+        829.1205034103706,
+        841.9762556041014,
+        841.9762556041014,
+        841.9762556041014,
+        851.9762556041014,
+        851.9762556041014,
+        851.9762556041014,
+        864.8320077978323,
+        864.8320077978323,
+        864.8320077978323,
+        880.1528966602118,
+        880.1528966602118,
+        880.1528966602118,
+        893.0086488539426,
+        893.0086488539426,
+        893.0086488539426,
+        903.0086488539426,
+        903.0086488539426,
+        903.0086488539426,
+        909.849051720456,
+        909.849051720456,
+        909.849051720456,
+        913.3220152737946,
+        913.3220152737946,
+        913.3220152737946,
+        920.162418140308,
+        920.162418140308,
+        920.162418140308,
+        923.6353816936465,
+        923.6353816936465,
+        923.6353816936465,
+        930.4757845601599,
+        930.4757845601599,
+        930.4757845601599,
+        933.9487481134985,
+        933.9487481134985,
+        933.9487481134985,
+        940.7891509800119,
+        940.7891509800119,
+        940.7891509800119,
+        944.2621145333504,
+        944.2621145333504,
+        944.2621145333504,
+        951.1025173998638,
+        951.1025173998638,
+        951.1025173998638,
+        954.5754809532024,
+        954.5754809532024,
+        954.5754809532024,
+        961.4158838197158,
+        961.4158838197158,
+        961.4158838197158,
+        964.8888473730543,
+        964.8888473730543,
+        964.8888473730543,
+        964.8888473730543,
+        964.8888473730543,
+        964.8888473730543,
+        968.3618109263929,
+        968.3618109263929,
+        968.3618109263929,
+        975.2022137929063,
+        975.2022137929063,
+        975.2022137929063,
+        978.6751773462448,
+        978.6751773462448,
+        978.6751773462448,
+        985.5155802127582,
+        985.5155802127582,
+        985.5155802127582,
+        995.5155802127582,
+        995.5155802127582,
+        995.5155802127582,
+        1008.371332406489,
+        1008.371332406489,
+        1008.371332406489,
+        1018.371332406489,
+        1018.371332406489,
+        1018.371332406489,
+        1031.2270846002198,
+        1031.2270846002198,
+        1031.2270846002198,
+        1046.5479734625994,
+        1046.5479734625994,
+        1046.5479734625994,
+        1059.4037256563302,
+        1059.4037256563302,
+        1059.4037256563302,
+        1074.7246145187098,
+        1074.7246145187098,
+        1074.7246145187098,
+        1092.0451225943987,
+        1092.0451225943987,
+        1092.0451225943987,
+        1107.3660114567783,
+        1107.3660114567783,
+        1107.3660114567783,
+        1124.6865195324672,
+        1124.6865195324672,
+        1124.6865195324672,
+        1143.4803719481854,
+        1143.4803719481854,
+        1143.4803719481854,
+        1160.8008800238742,
+        1160.8008800238742,
+        1160.8008800238742,
+        1179.5947324395925,
+        1179.5947324395925,
+        1179.5947324395925,
+        1199.2908874998366,
+        1199.2908874998366,
+        1199.2908874998366,
+        1218.0847399155548,
+        1218.0847399155548,
+        1218.0847399155548,
+        1237.780894975799,
+        1237.780894975799,
+        1237.780894975799,
+        1257.780894975799,
+        1257.780894975799,
+        1257.780894975799,
+        1277.477050036043,
+        1277.477050036043,
+        1277.477050036043,
+        1297.477050036043,
+        1297.477050036043,
+        1297.477050036043,
+        1317.1732050962871,
+        1317.1732050962871,
+        1317.1732050962871,
+        1335.9670575120053,
+        1335.9670575120053,
+        1335.9670575120053,
+        1355.6632125722494,
+        1355.6632125722494,
+        1355.6632125722494,
+        1374.4570649879677,
+        1374.4570649879677,
+        1374.4570649879677,
+        1394.1532200482118,
+        1394.1532200482118,
+        1394.1532200482118,
+        1412.94707246393,
+        1412.94707246393,
+        1412.94707246393,
+        1430.2675805396188,
+        1430.2675805396188,
+        1430.2675805396188,
+        1449.061432955337,
+        1449.061432955337,
+        1449.061432955337,
+        1466.381941031026,
+        1466.381941031026,
+        1466.381941031026,
+        1481.7028298934056,
+        1481.7028298934056,
+        1481.7028298934056,
+        1499.0233379690944,
+        1499.0233379690944,
+        1499.0233379690944,
+        1514.344226831474,
+        1514.344226831474,
+        1514.344226831474,
+        1527.1999790252048,
+        1527.1999790252048,
+        1527.1999790252048,
+        1542.5208678875845,
+        1542.5208678875845,
+        1542.5208678875845,
+        1555.3766200813152,
+        1555.3766200813152,
+        1555.3766200813152,
+        1565.3766200813152,
+        1565.3766200813152,
+        1565.3766200813152,
+        1572.2170229478286,
+        1572.2170229478286,
+        1572.2170229478286,
+        1582.2170229478286,
+        1582.2170229478286,
+        1582.2170229478286,
+        1589.057425814342,
+        1589.057425814342,
+        1589.057425814342,
+        1599.057425814342,
+        1599.057425814342,
+        1599.057425814342,
+        1605.8978286808554,
+        1605.8978286808554,
+        1605.8978286808554,
+        1609.370792234194,
+        1609.370792234194,
+        1609.370792234194,
+        1616.2111951007073,
+        1616.2111951007073,
+        1616.2111951007073,
+        1619.6841586540459,
+        1619.6841586540459,
+        1619.6841586540459,
+        1619.6841586540459,
+        1619.6841586540459,
+        1619.6841586540459,
+        1623.1571222073844,
+        1623.1571222073844,
+        1623.1571222073844,
+        1623.1571222073844,
+        1623.1571222073844,
+        1623.1571222073844,
+        1619.6841586540459,
+        1619.6841586540459,
+        1619.6841586540459,
+        1619.6841586540459,
+        1619.6841586540459,
+        1619.6841586540459,
+        1616.2111951007073,
+        1616.2111951007073,
+        1616.2111951007073,
+        1609.370792234194,
+        1609.370792234194,
+        1609.370792234194,
+        1605.8978286808554,
+        1605.8978286808554,
+        1605.8978286808554,
+        1599.057425814342,
+        1599.057425814342,
+        1599.057425814342,
+        1589.057425814342,
+        1589.057425814342,
+        1589.057425814342,
+        1576.2016736206112,
+        1576.2016736206112,
+        1576.2016736206112,
+        1566.2016736206112,
+        1566.2016736206112,
+        1566.2016736206112,
+        1553.3459214268805,
+        1553.3459214268805,
+        1553.3459214268805,
+        1543.3459214268805,
+        1543.3459214268805,
+        1543.3459214268805,
+        1530.4901692331498,
+        1530.4901692331498,
+        1530.4901692331498,
+        1515.1692803707701,
+        1515.1692803707701,
+        1515.1692803707701,
+        1502.3135281770394,
+        1502.3135281770394,
+        1502.3135281770394,
+        1486.9926393146598,
+        1486.9926393146598,
+        1486.9926393146598,
+        1469.672131238971,
+        1469.672131238971,
+        1469.672131238971,
+        1454.3512423765912,
+        1454.3512423765912,
+        1454.3512423765912,
+        1437.0307343009024,
+        1437.0307343009024,
+        1437.0307343009024,
+        1418.2368818851842,
+        1418.2368818851842,
+        1418.2368818851842,
+        1400.9163738094953,
+        1400.9163738094953,
+        1400.9163738094953,
+        1382.122521393777,
+        1382.122521393777,
+        1382.122521393777,
+        1362.426366333533,
+        1362.426366333533,
+        1362.426366333533,
+        1342.426366333533,
+        1342.426366333533,
+        1342.426366333533,
+        1322.730211273289,
+        1322.730211273289,
+        1322.730211273289,
+        1302.730211273289,
+        1302.730211273289,
+        1302.730211273289,
+        1283.0340562130448,
+        1283.0340562130448,
+        1283.0340562130448,
+        1263.0340562130448,
+        1263.0340562130448,
+        1263.0340562130448,
+        1243.3379011528007,
+        1243.3379011528007,
+        1243.3379011528007,
+        1223.3379011528007,
+        1223.3379011528007,
+        1223.3379011528007,
+        1203.6417460925566,
+        1203.6417460925566,
+        1203.6417460925566,
+        1184.8478936768383,
+        1184.8478936768383,
+        1184.8478936768383,
+        1165.1517386165942,
+        1165.1517386165942,
+        1165.1517386165942,
+        1146.357886200876,
+        1146.357886200876,
+        1146.357886200876,
+        1129.0373781251872,
+        1129.0373781251872,
+        1129.0373781251872,
+        1110.243525709469,
+        1110.243525709469,
+        1110.243525709469,
+        1092.92301763378,
+        1092.92301763378,
+        1092.92301763378,
+        1077.6021287714004,
+        1077.6021287714004,
+        1077.6021287714004,
+        1060.2816206957116,
+        1060.2816206957116,
+        1060.2816206957116,
+        1044.960731833332,
+        1044.960731833332,
+        1044.960731833332,
+        1032.1049796396012,
+        1032.1049796396012,
+        1032.1049796396012,
+        1022.1049796396012,
+        1022.1049796396012,
+        1022.1049796396012,
+        1009.2492274458705,
+        1009.2492274458705,
+        1009.2492274458705,
+        999.2492274458705,
+        999.2492274458705,
+        999.2492274458705,
+        986.3934752521398,
+        986.3934752521398,
+        986.3934752521398,
+        976.3934752521398,
+        976.3934752521398,
+        976.3934752521398,
+        969.5530723856264,
+        969.5530723856264,
+        969.5530723856264,
+        966.0801088322878,
+        966.0801088322878,
+        966.0801088322878,
+        959.2397059657744,
+        959.2397059657744,
+        959.2397059657744,
+        949.2397059657744,
+        949.2397059657744,
+        949.2397059657744,
+        942.399303099261,
+        942.399303099261,
+        942.399303099261,
+        938.9263395459225,
+        938.9263395459225,
+        938.9263395459225,
+        938.9263395459225,
+        938.9263395459225,
+        938.9263395459225,
+        935.4533759925839,
+        935.4533759925839,
+        935.4533759925839,
+        935.4533759925839,
+        935.4533759925839,
+        935.4533759925839,
+        931.9804124392454,
+        931.9804124392454,
+        931.9804124392454,
+        931.9804124392454,
+        931.9804124392454,
+        931.9804124392454,
+        928.5074488859068,
+        928.5074488859068,
+        928.5074488859068,
+        921.6670460193934,
+        921.6670460193934,
+        921.6670460193934,
+        918.1940824660549,
+        918.1940824660549,
+        918.1940824660549,
+        911.3536795995415,
+        911.3536795995415,
+        911.3536795995415,
+        901.3536795995415,
+        901.3536795995415,
+        901.3536795995415,
+        894.5132767330281,
+        894.5132767330281,
+        894.5132767330281,
+        884.5132767330281,
+        884.5132767330281,
+        884.5132767330281,
+        871.6575245392974,
+        871.6575245392974,
+        871.6575245392974,
+        861.6575245392974,
+        861.6575245392974,
+        861.6575245392974,
+        848.8017723455666,
+        848.8017723455666,
+        848.8017723455666,
+        833.4808834831871,
+        833.4808834831871,
+        833.4808834831871,
+        820.6251312894562,
+        820.6251312894562,
+        820.6251312894562,
+        805.3042424270767,
+        805.3042424270767,
+        805.3042424270767,
+        787.983734351388,
+        787.983734351388,
+        787.983734351388,
+        772.6628454890084,
+        772.6628454890084,
+        772.6628454890084,
+        755.3423374133197,
+        755.3423374133197,
+        755.3423374133197,
+        736.5484849976015,
+        736.5484849976015,
+        736.5484849976015,
+        719.2279769219127,
+        719.2279769219127,
+        719.2279769219127,
+        700.4341245061945,
+        700.4341245061945,
+        700.4341245061945,
+        680.7379694459504,
+        680.7379694459504,
+        680.7379694459504,
+        661.9441170302322,
+        661.9441170302322,
+        661.9441170302322,
+        642.2479619699881,
+        642.2479619699881,
+        642.2479619699881,
+        623.4541095542698,
+        623.4541095542698,
+        623.4541095542698,
+        603.7579544940257,
+        603.7579544940257,
+        603.7579544940257,
+        583.7579544940257,
+        583.7579544940257,
+        583.7579544940257,
+        564.0617994337816,
+        564.0617994337816,
+        564.0617994337816,
+        544.0617994337816,
+        544.0617994337816,
+        544.0617994337816,
+        524.3656443735375,
+        524.3656443735375,
+        524.3656443735375,
+        505.57179195781936,
+        505.57179195781936,
+        505.57179195781936,
+        485.8756368975752,
+        485.8756368975752,
+        485.8756368975752,
+        465.8756368975752,
+        465.8756368975752,
+        465.8756368975752,
+        446.179481837331,
+        446.179481837331,
+        446.179481837331,
+        427.38562942161286,
+        427.38562942161286,
+        427.38562942161286,
+        410.06512134592407,
+        410.06512134592407,
+        410.06512134592407,
+        394.7442324835445,
+        394.7442324835445,
+        394.7442324835445,
+        377.42372440785573,
+        377.42372440785573,
+        377.42372440785573,
+        362.1028355454762,
+        362.1028355454762,
+        362.1028355454762,
+        349.2470833517454,
+        349.2470833517454,
+        349.2470833517454,
+        333.92619448936586,
+        333.92619448936586,
+        333.92619448936586,
+        321.0704422956351,
+        321.0704422956351,
+        321.0704422956351,
+        311.0704422956351,
+        311.0704422956351,
+        311.0704422956351,
+        298.2146901019043,
+        298.2146901019043,
+        298.2146901019043,
+        282.89380123952475,
+        282.89380123952475,
+        282.89380123952475,
+        270.03804904579397,
+        270.03804904579397,
+        270.03804904579397,
+        260.03804904579397,
+        260.03804904579397,
+        260.03804904579397,
+        253.1976461792806,
+        253.1976461792806,
+        253.1976461792806,
+        249.72468262594202,
+        249.72468262594202,
+        249.72468262594202,
+        242.88427975942867,
+        242.88427975942867,
+        242.88427975942867,
+        239.41131620609008,
+        239.41131620609008,
+        239.41131620609008,
+        232.57091333957672,
+        232.57091333957672,
+        232.57091333957672,
+        229.09794978623813,
+        229.09794978623813,
+        229.09794978623813,
+        229.09794978623813,
+        229.09794978623813,
+        229.09794978623813,
+        225.62498623289954,
+        225.62498623289954,
+        225.62498623289954,
+        225.62498623289954,
+        225.62498623289954,
+        225.62498623289954,
+        229.09794978623816,
+        229.09794978623816,
+        229.09794978623816,
+        229.09794978623816,
+        229.09794978623816,
+        229.09794978623816,
+        232.57091333957678,
+        232.57091333957678,
+        232.57091333957678,
+        239.41131620609016,
+        239.41131620609016,
+        239.41131620609016,
+        242.88427975942878,
+        242.88427975942878,
+        242.88427975942878,
+        249.72468262594217,
+        249.72468262594217,
+        249.72468262594217,
+        259.72468262594214,
+        259.72468262594214,
+        259.72468262594214,
+        266.5650854924555,
+        266.5650854924555,
+        266.5650854924555,
+        276.5650854924555,
+        276.5650854924555,
+        276.5650854924555,
+        289.4208376861863,
+        289.4208376861863,
+        289.4208376861863,
+        299.4208376861863,
+        299.4208376861863,
+        299.4208376861863,
+        312.2765898799171,
+        312.2765898799171,
+        312.2765898799171,
+        327.59747874229663,
+        327.59747874229663,
+        327.59747874229663,
+        340.4532309360274,
+        340.4532309360274,
+        340.4532309360274,
+        355.77411979840696,
+        355.77411979840696,
+        355.77411979840696,
+        373.09462787409575,
+        373.09462787409575,
+        373.09462787409575,
+        388.4155167364753,
+        388.4155167364753,
+        388.4155167364753,
+        405.7360248121641,
+        405.7360248121641,
+        405.7360248121641,
+        421.05691367454364,
+        421.05691367454364,
+        421.05691367454364,
+        438.37742175023243,
+        438.37742175023243,
+        438.37742175023243,
+        457.1712741659506,
+        457.1712741659506,
+        457.1712741659506,
+        476.86742922619476,
+        476.86742922619476,
+        476.86742922619476,
+        495.6612816419129,
+        495.6612816419129,
+        495.6612816419129,
+        515.3574367021571,
+        515.3574367021571,
+        515.3574367021571,
+        535.3574367021571,
+        535.3574367021571,
+        535.3574367021571,
+        555.0535917624012,
+        555.0535917624012,
+        555.0535917624012,
+        575.0535917624012,
+        575.0535917624012,
+        575.0535917624012,
+        594.7497468226453,
+        594.7497468226453,
+        594.7497468226453,
+        614.7497468226453,
+        614.7497468226453,
+        614.7497468226453,
+        634.4459018828894,
+        634.4459018828894,
+        634.4459018828894,
+        654.4459018828894,
+        654.4459018828894,
+        654.4459018828894,
+        674.1420569431335,
+        674.1420569431335,
+        674.1420569431335,
+        692.9359093588517,
+        692.9359093588517,
+        692.9359093588517,
+        710.2564174345405,
+        710.2564174345405,
+        710.2564174345405,
+        729.0502698502587,
+        729.0502698502587,
+        729.0502698502587,
+        746.3707779259474,
+        746.3707779259474,
+        746.3707779259474,
+        761.691666788327,
+        761.691666788327,
+        761.691666788327,
+        779.0121748640157,
+        779.0121748640157,
+        779.0121748640157,
+        794.3330637263953,
+        794.3330637263953,
+        794.3330637263953,
+        811.653571802084,
+        811.653571802084,
+        811.653571802084,
+        826.9744606644635,
+        826.9744606644635,
+        826.9744606644635,
+        839.8302128581944,
+        839.8302128581944,
+        839.8302128581944,
+        849.8302128581944,
+        849.8302128581944,
+        849.8302128581944,
+        862.6859650519252,
+        862.6859650519252,
+        862.6859650519252,
+        878.0068539143048,
+        878.0068539143048,
+        878.0068539143048,
+        890.8626061080356,
+        890.8626061080356,
+        890.8626061080356,
+        900.8626061080356,
+        900.8626061080356,
+        900.8626061080356,
+        907.703008974549,
+        907.703008974549,
+        907.703008974549,
+        911.1759725278876,
+        911.1759725278876,
+        911.1759725278876,
+        918.0163753944009,
+        918.0163753944009,
+        918.0163753944009,
+        921.4893389477395,
+        921.4893389477395,
+        921.4893389477395,
+        928.3297418142529,
+        928.3297418142529,
+        928.3297418142529,
+        931.8027053675914,
+        931.8027053675914,
+        931.8027053675914,
+        938.6431082341048,
+        938.6431082341048,
+        938.6431082341048,
+        942.1160717874434,
+        942.1160717874434,
+        942.1160717874434,
+        948.9564746539568,
+        948.9564746539568,
+        948.9564746539568,
+        952.4294382072953,
+        952.4294382072953,
+        952.4294382072953,
+        952.4294382072953,
+        952.4294382072953,
+        952.4294382072953,
+        955.9024017606339,
+        955.9024017606339,
+        955.9024017606339,
+        962.7428046271473,
+        962.7428046271473,
+        962.7428046271473,
+        966.2157681804858,
+        966.2157681804858,
+        966.2157681804858,
+        973.0561710469992,
+        973.0561710469992,
+        973.0561710469992,
+        976.5291346003378,
+        976.5291346003378,
+        976.5291346003378,
+        983.3695374668512,
+        983.3695374668512,
+        983.3695374668512,
+        993.3695374668512,
+        993.3695374668512,
+        993.3695374668512,
+        1006.225289660582,
+        1006.225289660582,
+        1006.225289660582,
+        1016.225289660582,
+        1016.225289660582,
+        1016.225289660582,
+        1029.0810418543128,
+        1029.0810418543128,
+        1029.0810418543128,
+        1044.4019307166925,
+        1044.4019307166925,
+        1044.4019307166925,
+        1057.2576829104232,
+        1057.2576829104232,
+        1057.2576829104232,
+        1072.578571772803,
+        1072.578571772803,
+        1072.578571772803,
+        1089.8990798484917,
+        1089.8990798484917,
+        1089.8990798484917,
+        1105.2199687108714,
+        1105.2199687108714,
+        1105.2199687108714,
+        1122.5404767865602,
+        1122.5404767865602,
+        1122.5404767865602,
+        1141.3343292022785,
+        1141.3343292022785,
+        1141.3343292022785,
+        1158.6548372779673,
+        1158.6548372779673,
+        1158.6548372779673,
+        1177.4486896936855,
+        1177.4486896936855,
+        1177.4486896936855,
+        1197.1448447539296,
+        1197.1448447539296,
+        1197.1448447539296,
+        1215.9386971696479,
+        1215.9386971696479,
+        1215.9386971696479,
+        1235.634852229892,
+        1235.634852229892,
+        1235.634852229892,
+        1255.634852229892,
+        1255.634852229892,
+        1255.634852229892,
+        1275.331007290136,
+        1275.331007290136,
+        1275.331007290136,
+        1295.331007290136,
+        1295.331007290136,
+        1295.331007290136,
+        1315.0271623503802,
+        1315.0271623503802,
+        1315.0271623503802,
+        1335.0271623503802,
+        1335.0271623503802,
+        1335.0271623503802,
+        1354.7233174106243,
+        1354.7233174106243,
+        1354.7233174106243,
+        1373.5171698263425,
+        1373.5171698263425,
+        1373.5171698263425,
+        1390.8376779020314,
+        1390.8376779020314,
+        1390.8376779020314,
+        1409.6315303177496,
+        1409.6315303177496,
+        1409.6315303177496,
+        1426.9520383934384,
+        1426.9520383934384,
+        1426.9520383934384,
+        1445.7458908091567,
+        1445.7458908091567,
+        1445.7458908091567,
+        1463.0663988848455,
+        1463.0663988848455,
+        1463.0663988848455,
+        1478.3872877472252,
+        1478.3872877472252,
+        1478.3872877472252,
+        1495.707795822914,
+        1495.707795822914,
+        1495.707795822914,
+        1511.0286846852937,
+        1511.0286846852937,
+        1511.0286846852937,
+        1523.8844368790244,
+        1523.8844368790244,
+        1523.8844368790244,
+        1539.205325741404,
+        1539.205325741404,
+        1539.205325741404,
+        1552.0610779351348,
+        1552.0610779351348,
+        1552.0610779351348,
+        1562.0610779351348,
+        1562.0610779351348,
+        1562.0610779351348,
+        1574.9168301288655,
+        1574.9168301288655,
+        1574.9168301288655,
+        1584.9168301288655,
+        1584.9168301288655,
+        1584.9168301288655,
+        1591.757232995379,
+        1591.757232995379,
+        1591.757232995379,
+        1601.757232995379,
+        1601.757232995379,
+        1601.757232995379,
+        1608.5976358618923,
+        1608.5976358618923,
+        1608.5976358618923,
+        1612.0705994152308,
+        1612.0705994152308,
+        1612.0705994152308,
+        1618.9110022817442,
+        1618.9110022817442,
+        1618.9110022817442,
+        1622.3839658350828,
+        1622.3839658350828,
+        1622.3839658350828,
+        1622.3839658350828,
+        1622.3839658350828,
+        1622.3839658350828,
+        1625.8569293884213,
+        1625.8569293884213,
+        1625.8569293884213,
+        1625.8569293884213,
+        1625.8569293884213,
+        1625.8569293884213,
+        1622.3839658350828,
+        1622.3839658350828,
+        1622.3839658350828,
+        1622.3839658350828,
+        1622.3839658350828,
+        1622.3839658350828,
+        1618.9110022817442,
+        1618.9110022817442,
+        1618.9110022817442,
+        1612.0705994152308,
+        1612.0705994152308,
+        1612.0705994152308,
+        1602.0705994152308,
+        1602.0705994152308,
+        1602.0705994152308,
+        1595.2301965487175,
+        1595.2301965487175,
+        1595.2301965487175,
+        1585.2301965487175,
+        1585.2301965487175,
+        1585.2301965487175,
+        1578.389793682204,
+        1578.389793682204,
+        1578.389793682204,
+        1568.389793682204,
+        1568.389793682204,
+        1568.389793682204,
+        1555.5340414884733,
+        1555.5340414884733,
+        1555.5340414884733,
+        1545.5340414884733,
+        1545.5340414884733,
+        1545.5340414884733,
+        1532.6782892947426,
+        1532.6782892947426,
+        1532.6782892947426,
+        1517.357400432363,
+        1517.357400432363,
+        1517.357400432363,
+        1504.5016482386322,
+        1504.5016482386322,
+        1504.5016482386322,
+        1489.1807593762526,
+        1489.1807593762526,
+        1489.1807593762526,
+        1471.8602513005637,
+        1471.8602513005637,
+        1471.8602513005637,
+        1456.539362438184,
+        1456.539362438184,
+        1456.539362438184,
+        1439.2188543624952,
+        1439.2188543624952,
+        1439.2188543624952,
+        1420.425001946777,
+        1420.425001946777,
+        1420.425001946777,
+        1403.1044938710882,
+        1403.1044938710882,
+        1403.1044938710882,
+        1384.31064145537,
+        1384.31064145537,
+        1384.31064145537,
+        1364.6144863951258,
+        1364.6144863951258,
+        1364.6144863951258,
+        1345.8206339794076,
+        1345.8206339794076,
+        1345.8206339794076,
+        1326.1244789191635,
+        1326.1244789191635,
+        1326.1244789191635,
+        1306.1244789191635,
+        1306.1244789191635,
+        1306.1244789191635,
+        1286.4283238589194,
+        1286.4283238589194,
+        1286.4283238589194,
+        1266.4283238589194,
+        1266.4283238589194,
+        1266.4283238589194,
+        1246.7321687986753,
+        1246.7321687986753,
+        1246.7321687986753,
+        1226.7321687986753,
+        1226.7321687986753,
+        1226.7321687986753,
+        1207.0360137384312,
+        1207.0360137384312,
+        1207.0360137384312,
+        1188.242161322713,
+        1188.242161322713,
+        1188.242161322713,
+        1168.5460062624688,
+        1168.5460062624688,
+        1168.5460062624688,
+        1149.7521538467506,
+        1149.7521538467506,
+        1149.7521538467506,
+        1132.4316457710618,
+        1132.4316457710618,
+        1132.4316457710618,
+        1117.110756908682,
+        1117.110756908682,
+        1117.110756908682,
+        1099.7902488329933,
+        1099.7902488329933,
+        1099.7902488329933,
+        1084.4693599706136,
+        1084.4693599706136,
+        1084.4693599706136,
+        1067.1488518949247,
+        1067.1488518949247,
+        1067.1488518949247,
+        1051.827963032545,
+        1051.827963032545,
+        1051.827963032545,
+        1038.9722108388144,
+        1038.9722108388144,
+        1038.9722108388144,
+        1023.6513219764348,
+        1023.6513219764348,
+        1023.6513219764348,
+        1010.795569782704,
+        1010.795569782704,
+        1010.795569782704,
+        1000.795569782704,
+        1000.795569782704,
+        1000.795569782704,
+        987.9398175889733,
+        987.9398175889733,
+        987.9398175889733,
+        977.9398175889733,
+        977.9398175889733,
+        977.9398175889733,
+        971.0994147224599,
+        971.0994147224599,
+        971.0994147224599,
+        961.0994147224599,
+        961.0994147224599,
+        961.0994147224599,
+        954.2590118559465,
+        954.2590118559465,
+        954.2590118559465,
+        950.7860483026079,
+        950.7860483026079,
+        950.7860483026079,
+        943.9456454360945,
+        943.9456454360945,
+        943.9456454360945,
+        940.472681882756,
+        940.472681882756,
+        940.472681882756,
+        940.472681882756,
+        940.472681882756,
+        940.472681882756,
+        936.9997183294174,
+        936.9997183294174,
+        936.9997183294174,
+        936.9997183294174,
+        936.9997183294174,
+        936.9997183294174,
+        933.5267547760789,
+        933.5267547760789,
+        933.5267547760789,
+        933.5267547760789,
+        933.5267547760789,
+        933.5267547760789,
+        930.0537912227403,
+        930.0537912227403,
+        930.0537912227403,
+        923.2133883562269,
+        923.2133883562269,
+        923.2133883562269,
+        919.7404248028884,
+        919.7404248028884,
+        919.7404248028884,
+        912.900021936375,
+        912.900021936375,
+        912.900021936375,
+        902.900021936375,
+        902.900021936375,
+        902.900021936375,
+        896.0596190698616,
+        896.0596190698616,
+        896.0596190698616,
+        886.0596190698616,
+        886.0596190698616,
+        886.0596190698616,
+        873.2038668761309,
+        873.2038668761309,
+        873.2038668761309,
+        863.2038668761309,
+        863.2038668761309,
+        863.2038668761309,
+        850.3481146824001,
+        850.3481146824001,
+        850.3481146824001,
+        835.0272258200206,
+        835.0272258200206,
+        835.0272258200206,
+        822.1714736262898,
+        822.1714736262898,
+        822.1714736262898,
+        806.8505847639102,
+        806.8505847639102,
+        806.8505847639102,
+        789.5300766882215,
+        789.5300766882215,
+        789.5300766882215,
+        774.2091878258419,
+        774.2091878258419,
+        774.2091878258419,
+        756.8886797501532,
+        756.8886797501532,
+        756.8886797501532,
+        738.094827334435,
+        738.094827334435,
+        738.094827334435,
+        720.7743192587462,
+        720.7743192587462,
+        720.7743192587462,
+        701.980466843028,
+        701.980466843028,
+        701.980466843028,
+        684.6599587673393,
+        684.6599587673393,
+        684.6599587673393,
+        665.866106351621,
+        665.866106351621,
+        665.866106351621,
+        646.169951291377,
+        646.169951291377,
+        646.169951291377,
+        626.169951291377,
+        626.169951291377,
+        626.169951291377,
+        606.4737962311328,
+        606.4737962311328,
+        606.4737962311328,
+        586.4737962311328,
+        586.4737962311328,
+        586.4737962311328,
+        566.7776411708887,
+        566.7776411708887,
+        566.7776411708887,
+        546.7776411708887,
+        546.7776411708887,
+        546.7776411708887,
+        527.0814861106446,
+        527.0814861106446,
+        527.0814861106446,
+        507.0814861106446,
+        507.0814861106446,
+        507.0814861106446,
+        487.38533105040045,
+        487.38533105040045,
+        487.38533105040045,
+        468.5914786346823,
+        468.5914786346823,
+        468.5914786346823,
+        451.2709705589935,
+        451.2709705589935,
+        451.2709705589935,
+        432.47711814327533,
+        432.47711814327533,
+        432.47711814327533,
+        415.15661006758654,
+        415.15661006758654,
+        415.15661006758654,
+        399.835721205207,
+        399.835721205207,
+        399.835721205207,
+        382.5152131295182,
+        382.5152131295182,
+        382.5152131295182,
+        367.19432426713865,
+        367.19432426713865,
+        367.19432426713865,
+        349.87381619144986,
+        349.87381619144986,
+        349.87381619144986,
+        334.5529273290703,
+        334.5529273290703,
+        334.5529273290703,
+        321.69717513533953,
+        321.69717513533953,
+        321.69717513533953,
+        311.69717513533953,
+        311.69717513533953,
+        311.69717513533953,
+        298.84142294160876,
+        298.84142294160876,
+        298.84142294160876,
+        283.5205340792292,
+        283.5205340792292,
+        283.5205340792292,
+        270.6647818854984,
+        270.6647818854984,
+        270.6647818854984,
+        260.6647818854984,
+        260.6647818854984,
+        260.6647818854984,
+        253.82437901898507,
+        253.82437901898507,
+        253.82437901898507,
+        250.35141546564648,
+        250.35141546564648,
+        250.35141546564648,
+        243.51101259913312,
+        243.51101259913312,
+        243.51101259913312,
+        240.03804904579454,
+        240.03804904579454,
+        240.03804904579454,
+        233.19764617928118,
+        233.19764617928118,
+        233.19764617928118,
+        229.7246826259426,
+        229.7246826259426,
+        229.7246826259426,
+        229.7246826259426,
+        229.7246826259426,
+        229.7246826259426,
+        226.251719072604,
+        226.251719072604,
+        226.251719072604,
+        226.251719072604,
+        226.251719072604,
+        226.251719072604,
+        229.72468262594262,
+        229.72468262594262,
+        229.72468262594262,
+        229.72468262594262,
+        229.72468262594262,
+        229.72468262594262,
+        233.19764617928124,
+        233.19764617928124,
+        233.19764617928124,
+        240.03804904579462,
+        240.03804904579462,
+        240.03804904579462,
+        243.51101259913324,
+        243.51101259913324,
+        243.51101259913324,
+        250.35141546564662,
+        250.35141546564662,
+        250.35141546564662,
+        260.3514154656466,
+        260.3514154656466,
+        260.3514154656466,
+        267.19181833216,
+        267.19181833216,
+        267.19181833216,
+        277.19181833216,
+        277.19181833216,
+        277.19181833216,
+        290.04757052589076,
+        290.04757052589076,
+        290.04757052589076,
+        300.04757052589076,
+        300.04757052589076,
+        300.04757052589076,
+        312.90332271962154,
+        312.90332271962154,
+        312.90332271962154,
+        322.90332271962154,
+        322.90332271962154,
+        322.90332271962154,
+        335.7590749133523,
+        335.7590749133523,
+        335.7590749133523,
+        351.07996377573187,
+        351.07996377573187,
+        351.07996377573187,
+        368.40047185142066,
+        368.40047185142066,
+        368.40047185142066,
+        383.7213607138002,
+        383.7213607138002,
+        383.7213607138002,
+        401.041868789489,
+        401.041868789489,
+        401.041868789489,
+        419.83572120520716,
+        419.83572120520716,
+        419.83572120520716,
+        437.15622928089596,
+        437.15622928089596,
+        437.15622928089596,
+        455.9500816966141,
+        455.9500816966141,
+        455.9500816966141,
+        475.6462367568583,
+        475.6462367568583,
+        475.6462367568583,
+        494.44008917257645,
+        494.44008917257645,
+        494.44008917257645,
+        514.1362442328206,
+        514.1362442328206,
+        514.1362442328206,
+        532.9300966485388,
+        532.9300966485388,
+        532.9300966485388,
+        552.6262517087829,
+        552.6262517087829,
+        552.6262517087829,
+        572.6262517087829,
+        572.6262517087829,
+        572.6262517087829,
+        592.322406769027,
+        592.322406769027,
+        592.322406769027,
+        612.322406769027,
+        612.322406769027,
+        612.322406769027,
+        632.0185618292711,
+        632.0185618292711,
+        632.0185618292711,
+        652.0185618292711,
+        652.0185618292711,
+        652.0185618292711,
+        671.7147168895152,
+        671.7147168895152,
+        671.7147168895152,
+        690.5085693052334,
+        690.5085693052334,
+        690.5085693052334,
+        707.8290773809222,
+        707.8290773809222,
+        707.8290773809222,
+        726.6229297966404,
+        726.6229297966404,
+        726.6229297966404,
+        743.9434378723291,
+        743.9434378723291,
+        743.9434378723291,
+        762.7372902880473,
+        762.7372902880473,
+        762.7372902880473,
+        780.0577983637361,
+        780.0577983637361,
+        780.0577983637361,
+        795.3786872261156,
+        795.3786872261156,
+        795.3786872261156,
+        808.2344394198465,
+        808.2344394198465,
+        808.2344394198465,
+        823.555328282226,
+        823.555328282226,
+        823.555328282226,
+        840.8758363579147,
+        840.8758363579147,
+        840.8758363579147,
+        856.1967252202943,
+        856.1967252202943,
+        856.1967252202943,
+        869.0524774140251,
+        869.0524774140251,
+        869.0524774140251,
+        879.0524774140251,
+        879.0524774140251,
+        879.0524774140251,
+        885.8928802805385,
+        885.8928802805385,
+        885.8928802805385,
+        895.8928802805385,
+        895.8928802805385,
+        895.8928802805385,
+        902.7332831470519,
+        902.7332831470519,
+        902.7332831470519,
+        912.7332831470519,
+        912.7332831470519,
+        912.7332831470519,
+        919.5736860135653,
+        919.5736860135653,
+        919.5736860135653,
+        923.0466495669039,
+        923.0466495669039,
+        923.0466495669039,
+        929.8870524334172,
+        929.8870524334172,
+        929.8870524334172,
+        933.3600159867558,
+        933.3600159867558,
+        933.3600159867558,
+        940.2004188532692,
+        940.2004188532692,
+        940.2004188532692,
+        943.6733824066077,
+        943.6733824066077,
+        943.6733824066077,
+        950.5137852731211,
+        950.5137852731211,
+        950.5137852731211,
+        953.9867488264597,
+        953.9867488264597,
+        953.9867488264597,
+        960.8271516929731,
+        960.8271516929731,
+        960.8271516929731,
+        964.3001152463116,
+        964.3001152463116,
+        964.3001152463116,
+        964.3001152463116,
+        964.3001152463116,
+        964.3001152463116,
+        967.7730787996502,
+        967.7730787996502,
+        967.7730787996502,
+        974.6134816661636,
+        974.6134816661636,
+        974.6134816661636,
+        978.0864452195021,
+        978.0864452195021,
+        978.0864452195021,
+        984.9268480860155,
+        984.9268480860155,
+        984.9268480860155,
+        994.9268480860155,
+        994.9268480860155,
+        994.9268480860155,
+        1007.7826002797464,
+        1007.7826002797464,
+        1007.7826002797464,
+        1017.7826002797464,
+        1017.7826002797464,
+        1017.7826002797464,
+        1030.6383524734772,
+        1030.6383524734772,
+        1030.6383524734772,
+        1045.9592413358569,
+        1045.9592413358569,
+        1045.9592413358569,
+        1058.8149935295876,
+        1058.8149935295876,
+        1058.8149935295876,
+        1074.1358823919672,
+        1074.1358823919672,
+        1074.1358823919672,
+        1091.456390467656,
+        1091.456390467656,
+        1091.456390467656,
+        1106.7772793300358,
+        1106.7772793300358,
+        1106.7772793300358,
+        1124.0977874057246,
+        1124.0977874057246,
+        1124.0977874057246,
+        1142.8916398214428,
+        1142.8916398214428,
+        1142.8916398214428,
+        1160.2121478971317,
+        1160.2121478971317,
+        1160.2121478971317,
+        1179.00600031285,
+        1179.00600031285,
+        1179.00600031285,
+        1198.702155373094,
+        1198.702155373094,
+        1198.702155373094,
+        1217.4960077888122,
+        1217.4960077888122,
+        1217.4960077888122,
+        1237.1921628490563,
+        1237.1921628490563,
+        1237.1921628490563,
+        1257.1921628490563,
+        1257.1921628490563,
+        1257.1921628490563,
+        1276.8883179093004,
+        1276.8883179093004,
+        1276.8883179093004,
+        1296.8883179093004,
+        1296.8883179093004,
+        1296.8883179093004,
+        1316.5844729695445,
+        1316.5844729695445,
+        1316.5844729695445,
+        1336.5844729695445,
+        1336.5844729695445,
+        1336.5844729695445,
+        1356.2806280297887,
+        1356.2806280297887,
+        1356.2806280297887,
+        1375.0744804455069,
+        1375.0744804455069,
+        1375.0744804455069,
+        1392.3949885211957,
+        1392.3949885211957,
+        1392.3949885211957,
+        1411.188840936914,
+        1411.188840936914,
+        1411.188840936914,
+        1428.5093490126028,
+        1428.5093490126028,
+        1428.5093490126028,
+        1447.303201428321,
+        1447.303201428321,
+        1447.303201428321,
+        1464.6237095040099,
+        1464.6237095040099,
+        1464.6237095040099,
+        1479.9445983663895,
+        1479.9445983663895,
+        1479.9445983663895,
+        1497.2651064420784,
+        1497.2651064420784,
+        1497.2651064420784,
+        1512.585995304458,
+        1512.585995304458,
+        1512.585995304458,
+        1525.4417474981888,
+        1525.4417474981888,
+        1525.4417474981888,
+        1540.7626363605684,
+        1540.7626363605684,
+        1540.7626363605684,
+        1553.6183885542991,
+        1553.6183885542991,
+        1553.6183885542991,
+        1563.6183885542991,
+        1563.6183885542991,
+        1563.6183885542991,
+        1576.4741407480299,
+        1576.4741407480299,
+        1576.4741407480299,
+        1586.4741407480299,
+        1586.4741407480299,
+        1586.4741407480299,
+        1593.3145436145433,
+        1593.3145436145433,
+        1593.3145436145433,
+        1603.3145436145433,
+        1603.3145436145433,
+        1603.3145436145433,
+        1610.1549464810566,
+        1610.1549464810566,
+        1610.1549464810566,
+        1613.6279100343952,
+        1613.6279100343952,
+        1613.6279100343952,
+        1620.4683129009086,
+        1620.4683129009086,
+        1620.4683129009086,
+        1623.9412764542471,
+        1623.9412764542471,
+        1623.9412764542471,
+        1623.9412764542471,
+        1623.9412764542471,
+        1623.9412764542471,
+        1627.4142400075857,
+        1627.4142400075857,
+        1627.4142400075857,
+        1627.4142400075857,
+        1627.4142400075857,
+        1627.4142400075857,
+        1623.9412764542471,
+        1623.9412764542471,
+        1623.9412764542471,
+        1617.1008735877338,
+        1617.1008735877338,
+        1617.1008735877338,
+        1613.6279100343952,
+        1613.6279100343952,
+        1613.6279100343952,
+        1606.7875071678818,
+        1606.7875071678818,
+        1606.7875071678818,
+        1603.3145436145433,
+        1603.3145436145433,
+        1603.3145436145433,
+        1596.4741407480299,
+        1596.4741407480299,
+        1596.4741407480299,
+        1586.4741407480299,
+        1586.4741407480299,
+        1586.4741407480299,
+        1579.6337378815165,
+        1579.6337378815165,
+        1579.6337378815165,
+        1569.6337378815165,
+        1569.6337378815165,
+        1569.6337378815165,
+        1556.7779856877858,
+        1556.7779856877858,
+        1556.7779856877858,
+        1546.7779856877858,
+        1546.7779856877858,
+        1546.7779856877858,
+        1533.922233494055,
+        1533.922233494055,
+        1533.922233494055,
+        1518.6013446316754,
+        1518.6013446316754,
+        1518.6013446316754,
+        1505.7455924379447,
+        1505.7455924379447,
+        1505.7455924379447,
+        1490.424703575565,
+        1490.424703575565,
+        1490.424703575565,
+        1473.1041954998761,
+        1473.1041954998761,
+        1473.1041954998761,
+        1457.7833066374965,
+        1457.7833066374965,
+        1457.7833066374965,
+        1440.4627985618076,
+        1440.4627985618076,
+        1440.4627985618076,
+        1421.6689461460894,
+        1421.6689461460894,
+        1421.6689461460894,
+        1404.3484380704006,
+        1404.3484380704006,
+        1404.3484380704006,
+        1385.5545856546823,
+        1385.5545856546823,
+        1385.5545856546823,
+        1365.8584305944382,
+        1365.8584305944382,
+        1365.8584305944382,
+        1347.06457817872,
+        1347.06457817872,
+        1347.06457817872,
+        1327.368423118476,
+        1327.368423118476,
+        1327.368423118476,
+        1307.368423118476,
+        1307.368423118476,
+        1307.368423118476,
+        1287.6722680582318,
+        1287.6722680582318,
+        1287.6722680582318,
+        1267.6722680582318,
+        1267.6722680582318,
+        1267.6722680582318,
+        1247.9761129979877,
+        1247.9761129979877,
+        1247.9761129979877,
+        1227.9761129979877,
+        1227.9761129979877,
+        1227.9761129979877,
+        1208.2799579377436,
+        1208.2799579377436,
+        1208.2799579377436,
+        1189.4861055220254,
+        1189.4861055220254,
+        1189.4861055220254,
+        1169.7899504617812,
+        1169.7899504617812,
+        1169.7899504617812,
+        1150.996098046063,
+        1150.996098046063,
+        1150.996098046063,
+        1133.6755899703742,
+        1133.6755899703742,
+        1133.6755899703742,
+        1114.881737554656,
+        1114.881737554656,
+        1114.881737554656,
+        1097.561229478967,
+        1097.561229478967,
+        1097.561229478967,
+        1082.2403406165874,
+        1082.2403406165874,
+        1082.2403406165874,
+        1064.9198325408986,
+        1064.9198325408986,
+        1064.9198325408986,
+        1049.598943678519,
+        1049.598943678519,
+        1049.598943678519,
+        1036.7431914847882,
+        1036.7431914847882,
+        1036.7431914847882,
+        1021.4223026224087,
+        1021.4223026224087,
+        1021.4223026224087,
+        1008.5665504286778,
+        1008.5665504286778,
+        1008.5665504286778,
+        998.5665504286778,
+        998.5665504286778,
+        998.5665504286778,
+        991.7261475621644,
+        991.7261475621644,
+        991.7261475621644,
+        981.7261475621644,
+        981.7261475621644,
+        981.7261475621644,
+        974.885744695651,
+        974.885744695651,
+        974.885744695651,
+        964.885744695651,
+        964.885744695651,
+        964.885744695651,
+        958.0453418291377,
+        958.0453418291377,
+        958.0453418291377,
+        954.5723782757991,
+        954.5723782757991,
+        954.5723782757991,
+        947.7319754092857,
+        947.7319754092857,
+        947.7319754092857,
+        944.2590118559472,
+        944.2590118559472,
+        944.2590118559472,
+        944.2590118559472,
+        944.2590118559472,
+        944.2590118559472,
+        940.7860483026086,
+        940.7860483026086,
+        940.7860483026086,
+        940.7860483026086,
+        940.7860483026086,
+        940.7860483026086,
+        937.31308474927,
+        937.31308474927,
+        937.31308474927,
+        930.4726818827567,
+        930.4726818827567,
+        930.4726818827567,
+        926.9997183294181,
+        926.9997183294181,
+        926.9997183294181,
+        920.1593154629047,
+        920.1593154629047,
+        920.1593154629047,
+        916.6863519095662,
+        916.6863519095662,
+        916.6863519095662,
+        909.8459490430528,
+        909.8459490430528,
+        909.8459490430528,
+        899.8459490430528,
+        899.8459490430528,
+        899.8459490430528,
+        893.0055461765394,
+        893.0055461765394,
+        893.0055461765394,
+        883.0055461765394,
+        883.0055461765394,
+        883.0055461765394,
+        870.1497939828087,
+        870.1497939828087,
+        870.1497939828087,
+        860.1497939828087,
+        860.1497939828087,
+        860.1497939828087,
+        847.2940417890779,
+        847.2940417890779,
+        847.2940417890779,
+        831.9731529266984,
+        831.9731529266984,
+        831.9731529266984,
+        819.1174007329676,
+        819.1174007329676,
+        819.1174007329676,
+        803.796511870588,
+        803.796511870588,
+        803.796511870588,
+        786.4760037948993,
+        786.4760037948993,
+        786.4760037948993,
+        771.1551149325197,
+        771.1551149325197,
+        771.1551149325197,
+        753.834606856831,
+        753.834606856831,
+        753.834606856831,
+        735.0407544411128,
+        735.0407544411128,
+        735.0407544411128,
+        717.720246365424,
+        717.720246365424,
+        717.720246365424,
+        698.9263939497058,
+        698.9263939497058,
+        698.9263939497058,
+        681.6058858740171,
+        681.6058858740171,
+        681.6058858740171,
+        662.8120334582989,
+        662.8120334582989,
+        662.8120334582989,
+        643.1158783980547,
+        643.1158783980547,
+        643.1158783980547,
+        623.1158783980547,
+        623.1158783980547,
+        623.1158783980547,
+        603.4197233378106,
+        603.4197233378106,
+        603.4197233378106,
+        583.4197233378106,
+        583.4197233378106,
+        583.4197233378106,
+        563.7235682775665,
+        563.7235682775665,
+        563.7235682775665,
+        543.7235682775665,
+        543.7235682775665,
+        543.7235682775665,
+        524.0274132173224,
+        524.0274132173224,
+        524.0274132173224,
+        504.0274132173224,
+        504.0274132173224,
+        504.0274132173224,
+        484.33125815707825,
+        484.33125815707825,
+        484.33125815707825,
+        465.5374057413601,
+        465.5374057413601,
+        465.5374057413601,
+        448.2168976656713,
+        448.2168976656713,
+        448.2168976656713,
+        429.42304524995313,
+        429.42304524995313,
+        429.42304524995313,
+        412.10253717426434,
+        412.10253717426434,
+        412.10253717426434,
+        396.7816483118848,
+        396.7816483118848,
+        396.7816483118848,
+        379.461140236196,
+        379.461140236196,
+        379.461140236196,
+        360.66728782047784,
+        360.66728782047784,
+        360.66728782047784,
+        343.34677974478905,
+        343.34677974478905,
+        343.34677974478905,
+        328.0258908824095,
+        328.0258908824095,
+        328.0258908824095,
+        315.1701386886787,
+        315.1701386886787,
+        315.1701386886787,
+        305.1701386886787,
+        305.1701386886787,
+        305.1701386886787,
+        292.31438649494794,
+        292.31438649494794,
+        292.31438649494794,
+        282.31438649494794,
+        282.31438649494794,
+        282.31438649494794,
+        275.47398362843455,
+        275.47398362843455,
+        275.47398362843455,
+        265.47398362843455,
+        265.47398362843455,
+        265.47398362843455,
+        252.61823143470374,
+        252.61823143470374,
+        252.61823143470374,
+        242.61823143470377,
+        242.61823143470377,
+        242.61823143470377,
+        235.77782856819042,
+        235.77782856819042,
+        235.77782856819042,
+        232.30486501485183,
+        232.30486501485183,
+        232.30486501485183,
+        232.30486501485183,
+        232.30486501485183,
+        232.30486501485183,
+        228.83190146151324,
+        228.83190146151324,
+        228.83190146151324,
+        228.83190146151324,
+        228.83190146151324,
+        228.83190146151324,
+        225.35893790817465,
+        225.35893790817465,
+        225.35893790817465,
+        225.35893790817465,
+        225.35893790817465,
+        225.35893790817465,
+        228.83190146151327,
+        228.83190146151327,
+        228.83190146151327,
+        228.83190146151327,
+        228.83190146151327,
+        228.83190146151327,
+        232.30486501485188,
+        232.30486501485188,
+        232.30486501485188,
+        239.14526788136527,
+        239.14526788136527,
+        239.14526788136527,
+        242.6182314347039,
+        242.6182314347039,
+        242.6182314347039,
+        249.45863430121727,
+        249.45863430121727,
+        249.45863430121727,
+        259.4586343012173,
+        259.4586343012173,
+        259.4586343012173,
+        266.29903716773066,
+        266.29903716773066,
+        266.29903716773066,
+        276.29903716773066,
+        276.29903716773066,
+        276.29903716773066,
+        289.15478936146144,
+        289.15478936146144,
+        289.15478936146144,
+        299.15478936146144,
+        299.15478936146144,
+        299.15478936146144,
+        312.0105415551922,
+        312.0105415551922,
+        312.0105415551922,
+        327.33143041757177,
+        327.33143041757177,
+        327.33143041757177,
+        340.18718261130255,
+        340.18718261130255,
+        340.18718261130255,
+        355.5080714736821,
+        355.5080714736821,
+        355.5080714736821,
+        372.8285795493709,
+        372.8285795493709,
+        372.8285795493709,
+        388.14946841175043,
+        388.14946841175043,
+        388.14946841175043,
+        405.4699764874392,
+        405.4699764874392,
+        405.4699764874392,
+        420.7908653498188,
+        420.7908653498188,
+        420.7908653498188,
+        438.11137342550757,
+        438.11137342550757,
+        438.11137342550757,
+        456.90522584122573,
+        456.90522584122573,
+        456.90522584122573,
+        476.6013809014699,
+        476.6013809014699,
+        476.6013809014699,
+        495.39523331718806,
+        495.39523331718806,
+        495.39523331718806,
+        515.0913883774322,
+        515.0913883774322,
+        515.0913883774322,
+        535.0913883774322,
+        535.0913883774322,
+        535.0913883774322,
+        554.7875434376763,
+        554.7875434376763,
+        554.7875434376763,
+        574.7875434376763,
+        574.7875434376763,
+        574.7875434376763,
+        594.4836984979204,
+        594.4836984979204,
+        594.4836984979204,
+        614.4836984979204,
+        614.4836984979204,
+        614.4836984979204,
+        634.1798535581645,
+        634.1798535581645,
+        634.1798535581645,
+        654.1798535581645,
+        654.1798535581645,
+        654.1798535581645,
+        673.8760086184086,
+        673.8760086184086,
+        673.8760086184086,
+        692.6698610341268,
+        692.6698610341268,
+        692.6698610341268,
+        709.9903691098156,
+        709.9903691098156,
+        709.9903691098156,
+        728.7842215255338,
+        728.7842215255338,
+        728.7842215255338,
+        746.1047296012225,
+        746.1047296012225,
+        746.1047296012225,
+        761.4256184636021,
+        761.4256184636021,
+        761.4256184636021,
+        778.7461265392908,
+        778.7461265392908,
+        778.7461265392908,
+        794.0670154016703,
+        794.0670154016703,
+        794.0670154016703,
+        811.3875234773591,
+        811.3875234773591,
+        811.3875234773591,
+        826.7084123397386,
+        826.7084123397386,
+        826.7084123397386,
+        839.5641645334695,
+        839.5641645334695,
+        839.5641645334695,
+        849.5641645334695,
+        849.5641645334695,
+        849.5641645334695,
+        862.4199167272003,
+        862.4199167272003,
+        862.4199167272003,
+        877.7408055895798,
+        877.7408055895798,
+        877.7408055895798,
+        890.5965577833107,
+        890.5965577833107,
+        890.5965577833107,
+        900.5965577833107,
+        900.5965577833107,
+        900.5965577833107,
+        907.4369606498241,
+        907.4369606498241,
+        907.4369606498241,
+        910.9099242031626,
+        910.9099242031626,
+        910.9099242031626,
+        917.750327069676,
+        917.750327069676,
+        917.750327069676,
+        921.2232906230146,
+        921.2232906230146,
+        921.2232906230146,
+        928.063693489528,
+        928.063693489528,
+        928.063693489528,
+        931.5366570428665,
+        931.5366570428665,
+        931.5366570428665,
+        938.3770599093799,
+        938.3770599093799,
+        938.3770599093799,
+        941.8500234627185,
+        941.8500234627185,
+        941.8500234627185,
+        948.6904263292319,
+        948.6904263292319,
+        948.6904263292319,
+        952.1633898825704,
+        952.1633898825704,
+        952.1633898825704,
+        959.0037927490838,
+        959.0037927490838,
+        959.0037927490838,
+        962.4767563024224,
+        962.4767563024224,
+        962.4767563024224,
+        962.4767563024224,
+        962.4767563024224,
+        962.4767563024224,
+        965.9497198557609,
+        965.9497198557609,
+        965.9497198557609,
+        972.7901227222743,
+        972.7901227222743,
+        972.7901227222743,
+        976.2630862756129,
+        976.2630862756129,
+        976.2630862756129,
+        983.1034891421263,
+        983.1034891421263,
+        983.1034891421263,
+        993.1034891421263,
+        993.1034891421263,
+        993.1034891421263,
+        1005.9592413358571,
+        1005.9592413358571,
+        1005.9592413358571,
+        1015.9592413358571,
+        1015.9592413358571,
+        1015.9592413358571,
+        1028.8149935295878,
+        1028.8149935295878,
+        1028.8149935295878,
+        1044.1358823919675,
+        1044.1358823919675,
+        1044.1358823919675,
+        1056.9916345856982,
+        1056.9916345856982,
+        1056.9916345856982,
+        1072.3125234480779,
+        1072.3125234480779,
+        1072.3125234480779,
+        1089.6330315237667,
+        1089.6330315237667,
+        1089.6330315237667,
+        1104.9539203861464,
+        1104.9539203861464,
+        1104.9539203861464,
+        1122.2744284618352,
+        1122.2744284618352,
+        1122.2744284618352,
+        1141.0682808775534,
+        1141.0682808775534,
+        1141.0682808775534,
+        1158.3887889532423,
+        1158.3887889532423,
+        1158.3887889532423,
+        1177.1826413689605,
+        1177.1826413689605,
+        1177.1826413689605,
+        1196.8787964292046,
+        1196.8787964292046,
+        1196.8787964292046,
+        1215.6726488449228,
+        1215.6726488449228,
+        1215.6726488449228,
+        1235.368803905167,
+        1235.368803905167,
+        1235.368803905167,
+        1255.368803905167,
+        1255.368803905167,
+        1255.368803905167,
+        1275.064958965411,
+        1275.064958965411,
+        1275.064958965411,
+        1295.064958965411,
+        1295.064958965411,
+        1295.064958965411,
+        1314.7611140256552,
+        1314.7611140256552,
+        1314.7611140256552,
+        1334.7611140256552,
+        1334.7611140256552,
+        1334.7611140256552,
+        1354.4572690858993,
+        1354.4572690858993,
+        1354.4572690858993,
+        1373.2511215016175,
+        1373.2511215016175,
+        1373.2511215016175,
+        1392.9472765618616,
+        1392.9472765618616,
+        1392.9472765618616,
+        1411.7411289775798,
+        1411.7411289775798,
+        1411.7411289775798,
+        1429.0616370532687,
+        1429.0616370532687,
+        1429.0616370532687,
+        1444.3825259156483,
+        1444.3825259156483,
+        1444.3825259156483,
+        1461.7030339913372,
+        1461.7030339913372,
+        1461.7030339913372,
+        1477.0239228537168,
+        1477.0239228537168,
+        1477.0239228537168,
+        1494.3444309294057,
+        1494.3444309294057,
+        1494.3444309294057,
+        1509.6653197917854,
+        1509.6653197917854,
+        1509.6653197917854,
+        1522.521071985516,
+        1522.521071985516,
+        1522.521071985516,
+        1537.8419608478957,
+        1537.8419608478957,
+        1537.8419608478957,
+        1550.6977130416265,
+        1550.6977130416265,
+        1550.6977130416265,
+        1560.6977130416265,
+        1560.6977130416265,
+        1560.6977130416265,
+        1573.5534652353572,
+        1573.5534652353572,
+        1573.5534652353572,
+        1583.5534652353572,
+        1583.5534652353572,
+        1583.5534652353572,
+        1590.3938681018706,
+        1590.3938681018706,
+        1590.3938681018706,
+        1600.3938681018706,
+        1600.3938681018706,
+        1600.3938681018706,
+        1607.234270968384,
+        1607.234270968384,
+        1607.234270968384,
+        1610.7072345217225,
+        1610.7072345217225,
+        1610.7072345217225,
+        1617.547637388236,
+        1617.547637388236,
+        1617.547637388236,
+        1621.0206009415745,
+        1621.0206009415745,
+        1621.0206009415745,
+        1621.0206009415745,
+        1621.0206009415745,
+        1621.0206009415745,
+        1624.493564494913,
+        1624.493564494913,
+        1624.493564494913,
+        1624.493564494913,
+        1624.493564494913,
+        1624.493564494913,
+        1621.0206009415745,
+        1621.0206009415745,
+        1621.0206009415745,
+        1621.0206009415745,
+        1621.0206009415745,
+        1621.0206009415745,
+        1617.547637388236,
+        1617.547637388236,
+        1617.547637388236,
+        1610.7072345217225,
+        1610.7072345217225,
+        1610.7072345217225,
+        1607.234270968384,
+        1607.234270968384,
+        1607.234270968384,
+        1600.3938681018706,
+        1600.3938681018706,
+        1600.3938681018706,
+        1590.3938681018706,
+        1590.3938681018706,
+        1590.3938681018706,
+        1577.5381159081398,
+        1577.5381159081398,
+        1577.5381159081398,
+        1567.5381159081398,
+        1567.5381159081398,
+        1567.5381159081398,
+        1554.6823637144091,
+        1554.6823637144091,
+        1554.6823637144091,
+        1544.6823637144091,
+        1544.6823637144091,
+        1544.6823637144091,
+        1531.8266115206784,
+        1531.8266115206784,
+        1531.8266115206784,
+        1516.5057226582987,
+        1516.5057226582987,
+        1516.5057226582987,
+        1503.649970464568,
+        1503.649970464568,
+        1503.649970464568,
+        1488.3290816021884,
+        1488.3290816021884,
+        1488.3290816021884,
+        1471.0085735264995,
+        1471.0085735264995,
+        1471.0085735264995
+    ],
+    "y": [
+        889,
+        889,
+        889,
+        892.4729635533386,
+        892.4729635533386,
+        892.4729635533386,
+        892.4729635533386,
+        892.4729635533386,
+        892.4729635533386,
+        889.0,
+        889.0,
+        889.0,
+        882.1595971334866,
+        882.1595971334866,
+        882.1595971334866,
+        872.1595971334866,
+        872.1595971334866,
+        872.1595971334866,
+        859.3038449397558,
+        859.3038449397558,
+        859.3038449397558,
+        843.9829560773762,
+        843.9829560773762,
+        843.9829560773762,
+        831.1272038836454,
+        831.1272038836454,
+        831.1272038836454,
+        821.1272038836454,
+        821.1272038836454,
+        821.1272038836454,
+        808.2714516899146,
+        808.2714516899146,
+        808.2714516899146,
+        798.2714516899146,
+        798.2714516899146,
+        798.2714516899146,
+        785.4156994961837,
+        785.4156994961837,
+        785.4156994961837,
+        770.0948106338042,
+        770.0948106338042,
+        770.0948106338042,
+        757.2390584400733,
+        757.2390584400733,
+        757.2390584400733,
+        741.9181695776938,
+        741.9181695776938,
+        741.9181695776938,
+        724.597661502005,
+        724.597661502005,
+        724.597661502005,
+        709.2767726396255,
+        709.2767726396255,
+        709.2767726396255,
+        691.9562645639368,
+        691.9562645639368,
+        691.9562645639368,
+        673.1624121482186,
+        673.1624121482186,
+        673.1624121482186,
+        655.8419040725298,
+        655.8419040725298,
+        655.8419040725298,
+        637.0480516568116,
+        637.0480516568116,
+        637.0480516568116,
+        619.7275435811229,
+        619.7275435811229,
+        619.7275435811229,
+        600.9336911654046,
+        600.9336911654046,
+        600.9336911654046,
+        581.2375361051605,
+        581.2375361051605,
+        581.2375361051605,
+        562.4436836894423,
+        562.4436836894423,
+        562.4436836894423,
+        542.7475286291982,
+        542.7475286291982,
+        542.7475286291982,
+        522.7475286291982,
+        522.7475286291982,
+        522.7475286291982,
+        503.05137356895403,
+        503.05137356895403,
+        503.05137356895403,
+        484.25752115323587,
+        484.25752115323587,
+        484.25752115323587,
+        464.5613660929917,
+        464.5613660929917,
+        464.5613660929917,
+        444.5613660929917,
+        444.5613660929917,
+        444.5613660929917,
+        424.86521103274754,
+        424.86521103274754,
+        424.86521103274754,
+        406.0713586170294,
+        406.0713586170294,
+        406.0713586170294,
+        388.7508505413406,
+        388.7508505413406,
+        388.7508505413406,
+        369.9569981256224,
+        369.9569981256224,
+        369.9569981256224,
+        350.26084306537825,
+        350.26084306537825,
+        350.26084306537825,
+        331.4669906496601,
+        331.4669906496601,
+        331.4669906496601,
+        314.1464825739713,
+        314.1464825739713,
+        314.1464825739713,
+        298.82559371159175,
+        298.82559371159175,
+        298.82559371159175,
+        285.96984151786097,
+        285.96984151786097,
+        285.96984151786097,
+        270.6489526554814,
+        270.6489526554814,
+        270.6489526554814,
+        257.79320046175064,
+        257.79320046175064,
+        257.79320046175064,
+        242.4723115993711,
+        242.4723115993711,
+        242.4723115993711,
+        229.61655940564032,
+        229.61655940564032,
+        229.61655940564032,
+        219.61655940564032,
+        219.61655940564032,
+        219.61655940564032,
+        212.77615653912693,
+        212.77615653912693,
+        212.77615653912693,
+        202.77615653912693,
+        202.77615653912693,
+        202.77615653912693,
+        195.93575367261354,
+        195.93575367261354,
+        195.93575367261354,
+        185.93575367261354,
+        185.93575367261354,
+        185.93575367261354,
+        179.09535080610016,
+        179.09535080610016,
+        179.09535080610016,
+        175.62238725276154,
+        175.62238725276154,
+        175.62238725276154,
+        175.62238725276154,
+        175.62238725276154,
+        175.62238725276154,
+        172.14942369942293,
+        172.14942369942293,
+        172.14942369942293,
+        172.14942369942293,
+        172.14942369942293,
+        172.14942369942293,
+        168.6764601460843,
+        168.6764601460843,
+        168.6764601460843,
+        168.6764601460843,
+        168.6764601460843,
+        168.6764601460843,
+        172.1494236994229,
+        172.1494236994229,
+        172.1494236994229,
+        178.98982656593628,
+        178.98982656593628,
+        178.98982656593628,
+        182.46279011927487,
+        182.46279011927487,
+        182.46279011927487,
+        189.30319298578826,
+        189.30319298578826,
+        189.30319298578826,
+        192.77615653912684,
+        192.77615653912684,
+        192.77615653912684,
+        199.61655940564023,
+        199.61655940564023,
+        199.61655940564023,
+        209.61655940564023,
+        209.61655940564023,
+        209.61655940564023,
+        222.472311599371,
+        222.472311599371,
+        222.472311599371,
+        232.472311599371,
+        232.472311599371,
+        232.472311599371,
+        245.3280637931018,
+        245.3280637931018,
+        245.3280637931018,
+        255.3280637931018,
+        255.3280637931018,
+        255.3280637931018,
+        268.1838159868326,
+        268.1838159868326,
+        268.1838159868326,
+        283.50470484921215,
+        283.50470484921215,
+        283.50470484921215,
+        300.82521292490094,
+        300.82521292490094,
+        300.82521292490094,
+        316.1461017872805,
+        316.1461017872805,
+        316.1461017872805,
+        333.4666098629693,
+        333.4666098629693,
+        333.4666098629693,
+        348.7874987253488,
+        348.7874987253488,
+        348.7874987253488,
+        366.1080068010376,
+        366.1080068010376,
+        366.1080068010376,
+        384.9018592167558,
+        384.9018592167558,
+        384.9018592167558,
+        404.59801427699995,
+        404.59801427699995,
+        404.59801427699995,
+        423.3918666927181,
+        423.3918666927181,
+        423.3918666927181,
+        443.0880217529623,
+        443.0880217529623,
+        443.0880217529623,
+        461.88187416868044,
+        461.88187416868044,
+        461.88187416868044,
+        481.5780292289246,
+        481.5780292289246,
+        481.5780292289246,
+        501.5780292289246,
+        501.5780292289246,
+        501.5780292289246,
+        521.2741842891687,
+        521.2741842891687,
+        521.2741842891687,
+        541.2741842891687,
+        541.2741842891687,
+        541.2741842891687,
+        560.9703393494128,
+        560.9703393494128,
+        560.9703393494128,
+        580.9703393494128,
+        580.9703393494128,
+        580.9703393494128,
+        600.6664944096569,
+        600.6664944096569,
+        600.6664944096569,
+        619.4603468253752,
+        619.4603468253752,
+        619.4603468253752,
+        636.7808549010639,
+        636.7808549010639,
+        636.7808549010639,
+        655.5747073167821,
+        655.5747073167821,
+        655.5747073167821,
+        672.8952153924708,
+        672.8952153924708,
+        672.8952153924708,
+        691.6890678081891,
+        691.6890678081891,
+        691.6890678081891,
+        709.0095758838778,
+        709.0095758838778,
+        709.0095758838778,
+        724.3304647462573,
+        724.3304647462573,
+        724.3304647462573,
+        737.1862169399881,
+        737.1862169399881,
+        737.1862169399881,
+        752.5071058023676,
+        752.5071058023676,
+        752.5071058023676,
+        765.3628579960985,
+        765.3628579960985,
+        765.3628579960985,
+        780.683746858478,
+        780.683746858478,
+        780.683746858478,
+        793.5394990522088,
+        793.5394990522088,
+        793.5394990522088,
+        803.5394990522088,
+        803.5394990522088,
+        803.5394990522088,
+        810.3799019187222,
+        810.3799019187222,
+        810.3799019187222,
+        820.3799019187222,
+        820.3799019187222,
+        820.3799019187222,
+        827.2203047852356,
+        827.2203047852356,
+        827.2203047852356,
+        837.2203047852356,
+        837.2203047852356,
+        837.2203047852356,
+        844.060707651749,
+        844.060707651749,
+        844.060707651749,
+        847.5336712050876,
+        847.5336712050876,
+        847.5336712050876,
+        847.5336712050876,
+        847.5336712050876,
+        847.5336712050876,
+        851.0066347584261,
+        851.0066347584261,
+        851.0066347584261,
+        851.0066347584261,
+        851.0066347584261,
+        851.0066347584261,
+        854.4795983117647,
+        854.4795983117647,
+        854.4795983117647,
+        854.4795983117647,
+        854.4795983117647,
+        854.4795983117647,
+        851.0066347584261,
+        851.0066347584261,
+        851.0066347584261,
+        844.1662318919127,
+        844.1662318919127,
+        844.1662318919127,
+        840.6932683385742,
+        840.6932683385742,
+        840.6932683385742,
+        833.8528654720608,
+        833.8528654720608,
+        833.8528654720608,
+        830.3799019187222,
+        830.3799019187222,
+        830.3799019187222,
+        823.5394990522088,
+        823.5394990522088,
+        823.5394990522088,
+        813.5394990522088,
+        813.5394990522088,
+        813.5394990522088,
+        800.683746858478,
+        800.683746858478,
+        800.683746858478,
+        790.683746858478,
+        790.683746858478,
+        790.683746858478,
+        777.8279946647472,
+        777.8279946647472,
+        777.8279946647472,
+        767.8279946647472,
+        767.8279946647472,
+        767.8279946647472,
+        754.9722424710163,
+        754.9722424710163,
+        754.9722424710163,
+        739.6513536086368,
+        739.6513536086368,
+        739.6513536086368,
+        722.330845532948,
+        722.330845532948,
+        722.330845532948,
+        707.0099566705685,
+        707.0099566705685,
+        707.0099566705685,
+        689.6894485948798,
+        689.6894485948798,
+        689.6894485948798,
+        670.8955961791615,
+        670.8955961791615,
+        670.8955961791615,
+        653.5750881034728,
+        653.5750881034728,
+        653.5750881034728,
+        634.7812356877546,
+        634.7812356877546,
+        634.7812356877546,
+        617.4607276120659,
+        617.4607276120659,
+        617.4607276120659,
+        598.6668751963476,
+        598.6668751963476,
+        598.6668751963476,
+        578.9707201361035,
+        578.9707201361035,
+        578.9707201361035,
+        560.1768677203853,
+        560.1768677203853,
+        560.1768677203853,
+        540.4807126601412,
+        540.4807126601412,
+        540.4807126601412,
+        520.4807126601412,
+        520.4807126601412,
+        520.4807126601412,
+        500.784557599897,
+        500.784557599897,
+        500.784557599897,
+        480.784557599897,
+        480.784557599897,
+        480.784557599897,
+        461.08840253965286,
+        461.08840253965286,
+        461.08840253965286,
+        442.2945501239347,
+        442.2945501239347,
+        442.2945501239347,
+        422.59839506369053,
+        422.59839506369053,
+        422.59839506369053,
+        402.59839506369053,
+        402.59839506369053,
+        402.59839506369053,
+        382.90224000344637,
+        382.90224000344637,
+        382.90224000344637,
+        364.1083875877282,
+        364.1083875877282,
+        364.1083875877282,
+        346.7878795120394,
+        346.7878795120394,
+        346.7878795120394,
+        331.46699064965986,
+        331.46699064965986,
+        331.46699064965986,
+        314.14648257397107,
+        314.14648257397107,
+        314.14648257397107,
+        298.8255937115915,
+        298.8255937115915,
+        298.8255937115915,
+        285.96984151786074,
+        285.96984151786074,
+        285.96984151786074,
+        270.6489526554812,
+        270.6489526554812,
+        270.6489526554812,
+        253.32844457979243,
+        253.32844457979243,
+        253.32844457979243,
+        238.00755571741286,
+        238.00755571741286,
+        238.00755571741286,
+        225.15180352368205,
+        225.15180352368205,
+        225.15180352368205,
+        215.15180352368208,
+        215.15180352368208,
+        215.15180352368208,
+        208.31140065716872,
+        208.31140065716872,
+        208.31140065716872,
+        198.31140065716875,
+        198.31140065716875,
+        198.31140065716875,
+        191.4709977906554,
+        191.4709977906554,
+        191.4709977906554,
+        181.47099779065542,
+        181.47099779065542,
+        181.47099779065542,
+        174.63059492414206,
+        174.63059492414206,
+        174.63059492414206,
+        171.15763137080347,
+        171.15763137080347,
+        171.15763137080347,
+        164.3172285042901,
+        164.3172285042901,
+        164.3172285042901,
+        160.84426495095153,
+        160.84426495095153,
+        160.84426495095153,
+        160.84426495095153,
+        160.84426495095153,
+        160.84426495095153,
+        157.37130139761294,
+        157.37130139761294,
+        157.37130139761294,
+        157.37130139761294,
+        157.37130139761294,
+        157.37130139761294,
+        160.84426495095155,
+        160.84426495095155,
+        160.84426495095155,
+        160.84426495095155,
+        160.84426495095155,
+        160.84426495095155,
+        164.31722850429017,
+        164.31722850429017,
+        164.31722850429017,
+        164.31722850429017,
+        164.31722850429017,
+        164.31722850429017,
+        167.7901920576288,
+        167.7901920576288,
+        167.7901920576288,
+        174.63059492414217,
+        174.63059492414217,
+        174.63059492414217,
+        184.63059492414217,
+        184.63059492414217,
+        184.63059492414217,
+        191.47099779065556,
+        191.47099779065556,
+        191.47099779065556,
+        201.47099779065556,
+        201.47099779065556,
+        201.47099779065556,
+        214.32674998438634,
+        214.32674998438634,
+        214.32674998438634,
+        224.32674998438634,
+        224.32674998438634,
+        224.32674998438634,
+        237.18250217811712,
+        237.18250217811712,
+        237.18250217811712,
+        252.50339104049667,
+        252.50339104049667,
+        252.50339104049667,
+        265.3591432342274,
+        265.3591432342274,
+        265.3591432342274,
+        280.68003209660696,
+        280.68003209660696,
+        280.68003209660696,
+        298.00054017229576,
+        298.00054017229576,
+        298.00054017229576,
+        313.3214290346753,
+        313.3214290346753,
+        313.3214290346753,
+        326.1771812284061,
+        326.1771812284061,
+        326.1771812284061,
+        341.49807009078563,
+        341.49807009078563,
+        341.49807009078563,
+        358.8185781664744,
+        358.8185781664744,
+        358.8185781664744,
+        377.6124305821926,
+        377.6124305821926,
+        377.6124305821926,
+        397.30858564243675,
+        397.30858564243675,
+        397.30858564243675,
+        416.1024380581549,
+        416.1024380581549,
+        416.1024380581549,
+        435.7985931183991,
+        435.7985931183991,
+        435.7985931183991,
+        455.7985931183991,
+        455.7985931183991,
+        455.7985931183991,
+        475.49474817864325,
+        475.49474817864325,
+        475.49474817864325,
+        495.49474817864325,
+        495.49474817864325,
+        495.49474817864325,
+        515.1909032388874,
+        515.1909032388874,
+        515.1909032388874,
+        535.1909032388874,
+        535.1909032388874,
+        535.1909032388874,
+        554.8870582991315,
+        554.8870582991315,
+        554.8870582991315,
+        574.8870582991315,
+        574.8870582991315,
+        574.8870582991315,
+        594.5832133593756,
+        594.5832133593756,
+        594.5832133593756,
+        613.3770657750938,
+        613.3770657750938,
+        613.3770657750938,
+        630.6975738507825,
+        630.6975738507825,
+        630.6975738507825,
+        649.4914262665008,
+        649.4914262665008,
+        649.4914262665008,
+        666.8119343421895,
+        666.8119343421895,
+        666.8119343421895,
+        685.6057867579077,
+        685.6057867579077,
+        685.6057867579077,
+        702.9262948335964,
+        702.9262948335964,
+        702.9262948335964,
+        718.247183695976,
+        718.247183695976,
+        718.247183695976,
+        735.5676917716647,
+        735.5676917716647,
+        735.5676917716647,
+        750.8885806340443,
+        750.8885806340443,
+        750.8885806340443,
+        763.7443328277751,
+        763.7443328277751,
+        763.7443328277751,
+        779.0652216901547,
+        779.0652216901547,
+        779.0652216901547,
+        791.9209738838855,
+        791.9209738838855,
+        791.9209738838855,
+        801.9209738838855,
+        801.9209738838855,
+        801.9209738838855,
+        814.7767260776163,
+        814.7767260776163,
+        814.7767260776163,
+        824.7767260776163,
+        824.7767260776163,
+        824.7767260776163,
+        831.6171289441297,
+        831.6171289441297,
+        831.6171289441297,
+        841.6171289441297,
+        841.6171289441297,
+        841.6171289441297,
+        848.4575318106431,
+        848.4575318106431,
+        848.4575318106431,
+        851.9304953639817,
+        851.9304953639817,
+        851.9304953639817,
+        858.770898230495,
+        858.770898230495,
+        858.770898230495,
+        862.2438617838336,
+        862.2438617838336,
+        862.2438617838336,
+        862.2438617838336,
+        862.2438617838336,
+        862.2438617838336,
+        865.7168253371722,
+        865.7168253371722,
+        865.7168253371722,
+        865.7168253371722,
+        865.7168253371722,
+        865.7168253371722,
+        862.2438617838336,
+        862.2438617838336,
+        862.2438617838336,
+        862.2438617838336,
+        862.2438617838336,
+        862.2438617838336,
+        858.770898230495,
+        858.770898230495,
+        858.770898230495,
+        851.9304953639817,
+        851.9304953639817,
+        851.9304953639817,
+        848.4575318106431,
+        848.4575318106431,
+        848.4575318106431,
+        841.6171289441297,
+        841.6171289441297,
+        841.6171289441297,
+        838.1441653907912,
+        838.1441653907912,
+        838.1441653907912,
+        831.3037625242778,
+        831.3037625242778,
+        831.3037625242778,
+        821.3037625242778,
+        821.3037625242778,
+        821.3037625242778,
+        808.4480103305469,
+        808.4480103305469,
+        808.4480103305469,
+        798.4480103305469,
+        798.4480103305469,
+        798.4480103305469,
+        785.5922581368161,
+        785.5922581368161,
+        785.5922581368161,
+        770.2713692744366,
+        770.2713692744366,
+        770.2713692744366,
+        757.4156170807057,
+        757.4156170807057,
+        757.4156170807057,
+        747.4156170807057,
+        747.4156170807057,
+        747.4156170807057,
+        734.5598648869749,
+        734.5598648869749,
+        734.5598648869749,
+        719.2389760245953,
+        719.2389760245953,
+        719.2389760245953,
+        701.9184679489066,
+        701.9184679489066,
+        701.9184679489066,
+        683.1246155331884,
+        683.1246155331884,
+        683.1246155331884,
+        665.8041074574996,
+        665.8041074574996,
+        665.8041074574996,
+        647.0102550417814,
+        647.0102550417814,
+        647.0102550417814,
+        627.3140999815373,
+        627.3140999815373,
+        627.3140999815373,
+        608.5202475658191,
+        608.5202475658191,
+        608.5202475658191,
+        588.824092505575,
+        588.824092505575,
+        588.824092505575,
+        570.0302400898568,
+        570.0302400898568,
+        570.0302400898568,
+        550.3340850296127,
+        550.3340850296127,
+        550.3340850296127,
+        531.5402326138944,
+        531.5402326138944,
+        531.5402326138944,
+        511.84407755365027,
+        511.84407755365027,
+        511.84407755365027,
+        493.0502251379321,
+        493.0502251379321,
+        493.0502251379321,
+        473.35407007768794,
+        473.35407007768794,
+        473.35407007768794,
+        453.35407007768794,
+        453.35407007768794,
+        453.35407007768794,
+        433.65791501744377,
+        433.65791501744377,
+        433.65791501744377,
+        414.8640626017256,
+        414.8640626017256,
+        414.8640626017256,
+        395.16790754148144,
+        395.16790754148144,
+        395.16790754148144,
+        376.3740551257633,
+        376.3740551257633,
+        376.3740551257633,
+        356.6779000655191,
+        356.6779000655191,
+        356.6779000655191,
+        337.88404764980095,
+        337.88404764980095,
+        337.88404764980095,
+        320.56353957411216,
+        320.56353957411216,
+        320.56353957411216,
+        305.2426507117326,
+        305.2426507117326,
+        305.2426507117326,
+        287.9221426360438,
+        287.9221426360438,
+        287.9221426360438,
+        272.60125377366427,
+        272.60125377366427,
+        272.60125377366427,
+        259.7455015799335,
+        259.7455015799335,
+        259.7455015799335,
+        249.7455015799335,
+        249.7455015799335,
+        249.7455015799335,
+        236.8897493862027,
+        236.8897493862027,
+        236.8897493862027,
+        226.8897493862027,
+        226.8897493862027,
+        226.8897493862027,
+        214.03399719247193,
+        214.03399719247193,
+        214.03399719247193,
+        204.03399719247193,
+        204.03399719247193,
+        204.03399719247193,
+        197.19359432595854,
+        197.19359432595854,
+        197.19359432595854,
+        187.19359432595854,
+        187.19359432595854,
+        187.19359432595854,
+        180.35319145944516,
+        180.35319145944516,
+        180.35319145944516,
+        176.88022790610654,
+        176.88022790610654,
+        176.88022790610654,
+        176.88022790610654,
+        176.88022790610654,
+        176.88022790610654,
+        173.40726435276792,
+        173.40726435276792,
+        173.40726435276792,
+        173.40726435276792,
+        173.40726435276792,
+        173.40726435276792,
+        169.9343007994293,
+        169.9343007994293,
+        169.9343007994293,
+        169.9343007994293,
+        169.9343007994293,
+        169.9343007994293,
+        173.4072643527679,
+        173.4072643527679,
+        173.4072643527679,
+        173.4072643527679,
+        173.4072643527679,
+        173.4072643527679,
+        176.88022790610648,
+        176.88022790610648,
+        176.88022790610648,
+        183.72063077261987,
+        183.72063077261987,
+        183.72063077261987,
+        193.72063077261987,
+        193.72063077261987,
+        193.72063077261987,
+        200.56103363913326,
+        200.56103363913326,
+        200.56103363913326,
+        210.56103363913326,
+        210.56103363913326,
+        210.56103363913326,
+        217.40143650564664,
+        217.40143650564664,
+        217.40143650564664,
+        227.40143650564664,
+        227.40143650564664,
+        227.40143650564664,
+        240.25718869937742,
+        240.25718869937742,
+        240.25718869937742,
+        250.25718869937742,
+        250.25718869937742,
+        250.25718869937742,
+        263.1129408931082,
+        263.1129408931082,
+        263.1129408931082,
+        278.43382975548775,
+        278.43382975548775,
+        278.43382975548775,
+        295.75433783117654,
+        295.75433783117654,
+        295.75433783117654,
+        311.0752266935561,
+        311.0752266935561,
+        311.0752266935561,
+        328.3957347692449,
+        328.3957347692449,
+        328.3957347692449,
+        343.71662363162443,
+        343.71662363162443,
+        343.71662363162443,
+        361.0371317073132,
+        361.0371317073132,
+        361.0371317073132,
+        379.8309841230314,
+        379.8309841230314,
+        379.8309841230314,
+        397.1514921987202,
+        397.1514921987202,
+        397.1514921987202,
+        415.94534461443834,
+        415.94534461443834,
+        415.94534461443834,
+        435.6414996746825,
+        435.6414996746825,
+        435.6414996746825,
+        455.6414996746825,
+        455.6414996746825,
+        455.6414996746825,
+        475.3376547349267,
+        475.3376547349267,
+        475.3376547349267,
+        495.3376547349267,
+        495.3376547349267,
+        495.3376547349267,
+        515.0338097951708,
+        515.0338097951708,
+        515.0338097951708,
+        535.0338097951708,
+        535.0338097951708,
+        535.0338097951708,
+        554.7299648554149,
+        554.7299648554149,
+        554.7299648554149,
+        574.7299648554149,
+        574.7299648554149,
+        574.7299648554149,
+        594.426119915659,
+        594.426119915659,
+        594.426119915659,
+        613.2199723313772,
+        613.2199723313772,
+        613.2199723313772,
+        630.540480407066,
+        630.540480407066,
+        630.540480407066,
+        649.3343328227842,
+        649.3343328227842,
+        649.3343328227842,
+        666.6548408984729,
+        666.6548408984729,
+        666.6548408984729,
+        685.4486933141911,
+        685.4486933141911,
+        685.4486933141911,
+        702.7692013898799,
+        702.7692013898799,
+        702.7692013898799,
+        718.0900902522594,
+        718.0900902522594,
+        718.0900902522594,
+        735.4105983279482,
+        735.4105983279482,
+        735.4105983279482,
+        750.7314871903277,
+        750.7314871903277,
+        750.7314871903277,
+        763.5872393840584,
+        763.5872393840584,
+        763.5872393840584,
+        773.5872393840584,
+        773.5872393840584,
+        773.5872393840584,
+        786.4429915777891,
+        786.4429915777891,
+        786.4429915777891,
+        796.4429915777891,
+        796.4429915777891,
+        796.4429915777891,
+        809.2987437715199,
+        809.2987437715199,
+        809.2987437715199,
+        819.2987437715199,
+        819.2987437715199,
+        819.2987437715199,
+        826.1391466380333,
+        826.1391466380333,
+        826.1391466380333,
+        836.1391466380333,
+        836.1391466380333,
+        836.1391466380333,
+        842.9795495045466,
+        842.9795495045466,
+        842.9795495045466,
+        846.4525130578852,
+        846.4525130578852,
+        846.4525130578852,
+        846.4525130578852,
+        846.4525130578852,
+        846.4525130578852,
+        849.9254766112238,
+        849.9254766112238,
+        849.9254766112238,
+        849.9254766112238,
+        849.9254766112238,
+        849.9254766112238,
+        853.3984401645623,
+        853.3984401645623,
+        853.3984401645623,
+        853.3984401645623,
+        853.3984401645623,
+        853.3984401645623,
+        849.9254766112238,
+        849.9254766112238,
+        849.9254766112238,
+        849.9254766112238,
+        849.9254766112238,
+        849.9254766112238,
+        846.4525130578852,
+        846.4525130578852,
+        846.4525130578852,
+        839.6121101913718,
+        839.6121101913718,
+        839.6121101913718,
+        829.6121101913718,
+        829.6121101913718,
+        829.6121101913718,
+        822.7717073248584,
+        822.7717073248584,
+        822.7717073248584,
+        812.7717073248584,
+        812.7717073248584,
+        812.7717073248584,
+        805.931304458345,
+        805.931304458345,
+        805.931304458345,
+        795.931304458345,
+        795.931304458345,
+        795.931304458345,
+        783.0755522646142,
+        783.0755522646142,
+        783.0755522646142,
+        773.0755522646142,
+        773.0755522646142,
+        773.0755522646142,
+        760.2198000708834,
+        760.2198000708834,
+        760.2198000708834,
+        744.8989112085038,
+        744.8989112085038,
+        744.8989112085038,
+        727.5784031328151,
+        727.5784031328151,
+        727.5784031328151,
+        712.2575142704355,
+        712.2575142704355,
+        712.2575142704355,
+        694.9370061947468,
+        694.9370061947468,
+        694.9370061947468,
+        676.1431537790286,
+        676.1431537790286,
+        676.1431537790286,
+        658.8226457033398,
+        658.8226457033398,
+        658.8226457033398,
+        640.0287932876216,
+        640.0287932876216,
+        640.0287932876216,
+        622.7082852119329,
+        622.7082852119329,
+        622.7082852119329,
+        603.9144327962147,
+        603.9144327962147,
+        603.9144327962147,
+        584.2182777359706,
+        584.2182777359706,
+        584.2182777359706,
+        565.4244253202523,
+        565.4244253202523,
+        565.4244253202523,
+        545.7282702600082,
+        545.7282702600082,
+        545.7282702600082,
+        525.7282702600082,
+        525.7282702600082,
+        525.7282702600082,
+        506.03211519976406,
+        506.03211519976406,
+        506.03211519976406,
+        486.03211519976406,
+        486.03211519976406,
+        486.03211519976406,
+        466.3359601395199,
+        466.3359601395199,
+        466.3359601395199,
+        447.54210772380173,
+        447.54210772380173,
+        447.54210772380173,
+        427.84595266355757,
+        427.84595266355757,
+        427.84595266355757,
+        409.0521002478394,
+        409.0521002478394,
+        409.0521002478394,
+        389.35594518759524,
+        389.35594518759524,
+        389.35594518759524,
+        370.5620927718771,
+        370.5620927718771,
+        370.5620927718771,
+        353.2415846961883,
+        353.2415846961883,
+        353.2415846961883,
+        334.4477322804701,
+        334.4477322804701,
+        334.4477322804701,
+        317.1272242047813,
+        317.1272242047813,
+        317.1272242047813,
+        301.8063353424018,
+        301.8063353424018,
+        301.8063353424018,
+        288.950583148671,
+        288.950583148671,
+        288.950583148671,
+        273.62969428629145,
+        273.62969428629145,
+        273.62969428629145,
+        256.30918621060266,
+        256.30918621060266,
+        256.30918621060266,
+        240.98829734822309,
+        240.98829734822309,
+        240.98829734822309,
+        228.13254515449228,
+        228.13254515449228,
+        228.13254515449228,
+        218.1325451544923,
+        218.1325451544923,
+        218.1325451544923,
+        205.2767929607615,
+        205.2767929607615,
+        205.2767929607615,
+        195.27679296076153,
+        195.27679296076153,
+        195.27679296076153,
+        188.43639009424817,
+        188.43639009424817,
+        188.43639009424817,
+        184.96342654090958,
+        184.96342654090958,
+        184.96342654090958,
+        178.12302367439622,
+        178.12302367439622,
+        178.12302367439622,
+        168.12302367439625,
+        168.12302367439625,
+        168.12302367439625,
+        161.2826208078829,
+        161.2826208078829,
+        161.2826208078829,
+        157.8096572545443,
+        157.8096572545443,
+        157.8096572545443,
+        157.8096572545443,
+        157.8096572545443,
+        157.8096572545443,
+        154.33669370120572,
+        154.33669370120572,
+        154.33669370120572,
+        154.33669370120572,
+        154.33669370120572,
+        154.33669370120572,
+        157.80965725454433,
+        157.80965725454433,
+        157.80965725454433,
+        157.80965725454433,
+        157.80965725454433,
+        157.80965725454433,
+        161.28262080788295,
+        161.28262080788295,
+        161.28262080788295,
+        168.12302367439634,
+        168.12302367439634,
+        168.12302367439634,
+        171.59598722773495,
+        171.59598722773495,
+        171.59598722773495,
+        178.43639009424834,
+        178.43639009424834,
+        178.43639009424834,
+        188.43639009424834,
+        188.43639009424834,
+        188.43639009424834,
+        195.27679296076172,
+        195.27679296076172,
+        195.27679296076172,
+        198.74975651410034,
+        198.74975651410034,
+        198.74975651410034,
+        205.59015938061373,
+        205.59015938061373,
+        205.59015938061373,
+        215.59015938061373,
+        215.59015938061373,
+        215.59015938061373,
+        228.4459115743445,
+        228.4459115743445,
+        228.4459115743445,
+        243.76680043672405,
+        243.76680043672405,
+        243.76680043672405,
+        256.62255263045483,
+        256.62255263045483,
+        256.62255263045483,
+        271.9434414928344,
+        271.9434414928344,
+        271.9434414928344,
+        289.2639495685232,
+        289.2639495685232,
+        289.2639495685232,
+        304.5848384309027,
+        304.5848384309027,
+        304.5848384309027,
+        321.9053465065915,
+        321.9053465065915,
+        321.9053465065915,
+        340.6991989223097,
+        340.6991989223097,
+        340.6991989223097,
+        358.01970699799847,
+        358.01970699799847,
+        358.01970699799847,
+        373.340595860378,
+        373.340595860378,
+        373.340595860378,
+        390.6611039360668,
+        390.6611039360668,
+        390.6611039360668,
+        409.454956351785,
+        409.454956351785,
+        409.454956351785,
+        429.15111141202914,
+        429.15111141202914,
+        429.15111141202914,
+        449.15111141202914,
+        449.15111141202914,
+        449.15111141202914,
+        468.8472664722733,
+        468.8472664722733,
+        468.8472664722733,
+        488.8472664722733,
+        488.8472664722733,
+        488.8472664722733,
+        508.54342153251747,
+        508.54342153251747,
+        508.54342153251747,
+        528.5434215325174,
+        528.5434215325174,
+        528.5434215325174,
+        548.2395765927615,
+        548.2395765927615,
+        548.2395765927615,
+        567.0334290084797,
+        567.0334290084797,
+        567.0334290084797,
+        586.7295840687239,
+        586.7295840687239,
+        586.7295840687239,
+        606.7295840687239,
+        606.7295840687239,
+        606.7295840687239,
+        626.425739128968,
+        626.425739128968,
+        626.425739128968,
+        645.2195915446862,
+        645.2195915446862,
+        645.2195915446862,
+        662.5400996203749,
+        662.5400996203749,
+        662.5400996203749,
+        677.8609884827545,
+        677.8609884827545,
+        677.8609884827545,
+        695.1814965584432,
+        695.1814965584432,
+        695.1814965584432,
+        710.5023854208227,
+        710.5023854208227,
+        710.5023854208227,
+        727.8228934965115,
+        727.8228934965115,
+        727.8228934965115,
+        743.143782358891,
+        743.143782358891,
+        743.143782358891,
+        760.4642904345798,
+        760.4642904345798,
+        760.4642904345798,
+        775.7851792969593,
+        775.7851792969593,
+        775.7851792969593,
+        788.6409314906901,
+        788.6409314906901,
+        788.6409314906901,
+        798.6409314906901,
+        798.6409314906901,
+        798.6409314906901,
+        811.496683684421,
+        811.496683684421,
+        811.496683684421,
+        821.496683684421,
+        821.496683684421,
+        821.496683684421,
+        828.3370865509344,
+        828.3370865509344,
+        828.3370865509344,
+        838.3370865509344,
+        838.3370865509344,
+        838.3370865509344,
+        845.1774894174478,
+        845.1774894174478,
+        845.1774894174478,
+        848.6504529707863,
+        848.6504529707863,
+        848.6504529707863,
+        855.4908558372997,
+        855.4908558372997,
+        855.4908558372997,
+        858.9638193906383,
+        858.9638193906383,
+        858.9638193906383,
+        858.9638193906383,
+        858.9638193906383,
+        858.9638193906383,
+        862.4367829439768,
+        862.4367829439768,
+        862.4367829439768,
+        862.4367829439768,
+        862.4367829439768,
+        862.4367829439768,
+        858.9638193906383,
+        858.9638193906383,
+        858.9638193906383,
+        858.9638193906383,
+        858.9638193906383,
+        858.9638193906383,
+        862.4367829439768,
+        862.4367829439768,
+        862.4367829439768,
+        862.4367829439768,
+        862.4367829439768,
+        862.4367829439768,
+        858.9638193906383,
+        858.9638193906383,
+        858.9638193906383,
+        852.1234165241249,
+        852.1234165241249,
+        852.1234165241249,
+        842.1234165241249,
+        842.1234165241249,
+        842.1234165241249,
+        835.2830136576115,
+        835.2830136576115,
+        835.2830136576115,
+        825.2830136576115,
+        825.2830136576115,
+        825.2830136576115,
+        812.4272614638807,
+        812.4272614638807,
+        812.4272614638807,
+        802.4272614638807,
+        802.4272614638807,
+        802.4272614638807,
+        789.5715092701498,
+        789.5715092701498,
+        789.5715092701498,
+        779.5715092701498,
+        779.5715092701498,
+        779.5715092701498,
+        766.715757076419,
+        766.715757076419,
+        766.715757076419,
+        751.3948682140394,
+        751.3948682140394,
+        751.3948682140394,
+        734.0743601383507,
+        734.0743601383507,
+        734.0743601383507,
+        718.7534712759712,
+        718.7534712759712,
+        718.7534712759712,
+        705.8977190822403,
+        705.8977190822403,
+        705.8977190822403,
+        690.5768302198608,
+        690.5768302198608,
+        690.5768302198608,
+        673.256322144172,
+        673.256322144172,
+        673.256322144172,
+        654.4624697284538,
+        654.4624697284538,
+        654.4624697284538,
+        634.7663146682097,
+        634.7663146682097,
+        634.7663146682097,
+        615.9724622524915,
+        615.9724622524915,
+        615.9724622524915,
+        596.2763071922474,
+        596.2763071922474,
+        596.2763071922474,
+        577.4824547765292,
+        577.4824547765292,
+        577.4824547765292,
+        557.786299716285,
+        557.786299716285,
+        557.786299716285,
+        538.9924473005668,
+        538.9924473005668,
+        538.9924473005668,
+        519.2962922403227,
+        519.2962922403227,
+        519.2962922403227,
+        500.50243982460455,
+        500.50243982460455,
+        500.50243982460455,
+        480.8062847643604,
+        480.8062847643604,
+        480.8062847643604,
+        462.0124323486422,
+        462.0124323486422,
+        462.0124323486422,
+        442.31627728839806,
+        442.31627728839806,
+        442.31627728839806,
+        422.31627728839806,
+        422.31627728839806,
+        422.31627728839806,
+        402.6201222281539,
+        402.6201222281539,
+        402.6201222281539,
+        383.8262698124357,
+        383.8262698124357,
+        383.8262698124357,
+        364.13011475219156,
+        364.13011475219156,
+        364.13011475219156,
+        345.3362623364734,
+        345.3362623364734,
+        345.3362623364734,
+        328.0157542607846,
+        328.0157542607846,
+        328.0157542607846,
+        312.69486539840506,
+        312.69486539840506,
+        312.69486539840506,
+        295.37435732271626,
+        295.37435732271626,
+        295.37435732271626,
+        280.0534684603367,
+        280.0534684603367,
+        280.0534684603367,
+        267.19771626660594,
+        267.19771626660594,
+        267.19771626660594,
+        251.8768274042264,
+        251.8768274042264,
+        251.8768274042264,
+        239.0210752104956,
+        239.0210752104956,
+        239.0210752104956,
+        229.0210752104956,
+        229.0210752104956,
+        229.0210752104956,
+        216.16532301676483,
+        216.16532301676483,
+        216.16532301676483,
+        206.16532301676483,
+        206.16532301676483,
+        206.16532301676483,
+        199.32492015025144,
+        199.32492015025144,
+        199.32492015025144,
+        189.32492015025144,
+        189.32492015025144,
+        189.32492015025144,
+        182.48451728373806,
+        182.48451728373806,
+        182.48451728373806,
+        179.01155373039944,
+        179.01155373039944,
+        179.01155373039944,
+        172.17115086388606,
+        172.17115086388606,
+        172.17115086388606,
+        168.69818731054744,
+        168.69818731054744,
+        168.69818731054744,
+        168.69818731054744,
+        168.69818731054744,
+        168.69818731054744,
+        165.22522375720882,
+        165.22522375720882,
+        165.22522375720882,
+        165.22522375720882,
+        165.22522375720882,
+        165.22522375720882,
+        168.6981873105474,
+        168.6981873105474,
+        168.6981873105474,
+        175.5385901770608,
+        175.5385901770608,
+        175.5385901770608,
+        179.01155373039938,
+        179.01155373039938,
+        179.01155373039938,
+        185.85195659691277,
+        185.85195659691277,
+        185.85195659691277,
+        189.32492015025136,
+        189.32492015025136,
+        189.32492015025136,
+        196.16532301676475,
+        196.16532301676475,
+        196.16532301676475,
+        206.16532301676475,
+        206.16532301676475,
+        206.16532301676475,
+        213.00572588327813,
+        213.00572588327813,
+        213.00572588327813,
+        223.00572588327813,
+        223.00572588327813,
+        223.00572588327813,
+        235.8614780770089,
+        235.8614780770089,
+        235.8614780770089,
+        245.8614780770089,
+        245.8614780770089,
+        245.8614780770089,
+        258.7172302707397,
+        258.7172302707397,
+        258.7172302707397,
+        274.03811913311927,
+        274.03811913311927,
+        274.03811913311927,
+        286.89387132685005,
+        286.89387132685005,
+        286.89387132685005,
+        302.2147601892296,
+        302.2147601892296,
+        302.2147601892296,
+        319.5352682649184,
+        319.5352682649184,
+        319.5352682649184,
+        338.32912068063655,
+        338.32912068063655,
+        338.32912068063655,
+        355.64962875632534,
+        355.64962875632534,
+        355.64962875632534,
+        374.4434811720435,
+        374.4434811720435,
+        374.4434811720435,
+        391.7639892477323,
+        391.7639892477323,
+        391.7639892477323,
+        410.55784166345046,
+        410.55784166345046,
+        410.55784166345046,
+        430.2539967236946,
+        430.2539967236946,
+        430.2539967236946,
+        449.0478491394128,
+        449.0478491394128,
+        449.0478491394128,
+        468.74400419965696,
+        468.74400419965696,
+        468.74400419965696,
+        488.74400419965696,
+        488.74400419965696,
+        488.74400419965696,
+        508.4401592599011,
+        508.4401592599011,
+        508.4401592599011,
+        528.4401592599011,
+        528.4401592599011,
+        528.4401592599011,
+        548.1363143201452,
+        548.1363143201452,
+        548.1363143201452,
+        568.1363143201452,
+        568.1363143201452,
+        568.1363143201452,
+        587.8324693803893,
+        587.8324693803893,
+        587.8324693803893,
+        606.6263217961075,
+        606.6263217961075,
+        606.6263217961075,
+        626.3224768563516,
+        626.3224768563516,
+        626.3224768563516,
+        645.1163292720698,
+        645.1163292720698,
+        645.1163292720698,
+        662.4368373477586,
+        662.4368373477586,
+        662.4368373477586,
+        677.7577262101381,
+        677.7577262101381,
+        677.7577262101381,
+        695.0782342858269,
+        695.0782342858269,
+        695.0782342858269,
+        710.3991231482064,
+        710.3991231482064,
+        710.3991231482064,
+        727.7196312238951,
+        727.7196312238951,
+        727.7196312238951,
+        743.0405200862747,
+        743.0405200862747,
+        743.0405200862747,
+        755.8962722800054,
+        755.8962722800054,
+        755.8962722800054,
+        771.217161142385,
+        771.217161142385,
+        771.217161142385,
+        784.0729133361158,
+        784.0729133361158,
+        784.0729133361158,
+        794.0729133361158,
+        794.0729133361158,
+        794.0729133361158,
+        806.9286655298465,
+        806.9286655298465,
+        806.9286655298465,
+        816.9286655298465,
+        816.9286655298465,
+        816.9286655298465,
+        823.7690683963599,
+        823.7690683963599,
+        823.7690683963599,
+        833.7690683963599,
+        833.7690683963599,
+        833.7690683963599,
+        840.6094712628733,
+        840.6094712628733,
+        840.6094712628733,
+        844.0824348162118,
+        844.0824348162118,
+        844.0824348162118,
+        844.0824348162118,
+        844.0824348162118,
+        844.0824348162118,
+        847.5553983695504,
+        847.5553983695504,
+        847.5553983695504,
+        847.5553983695504,
+        847.5553983695504,
+        847.5553983695504,
+        851.028361922889,
+        851.028361922889,
+        851.028361922889,
+        851.028361922889,
+        851.028361922889,
+        851.028361922889,
+        847.5553983695504,
+        847.5553983695504,
+        847.5553983695504,
+        847.5553983695504,
+        847.5553983695504,
+        847.5553983695504,
+        844.0824348162118,
+        844.0824348162118,
+        844.0824348162118,
+        837.2420319496985,
+        837.2420319496985,
+        837.2420319496985,
+        833.7690683963599,
+        833.7690683963599,
+        833.7690683963599,
+        826.9286655298465,
+        826.9286655298465,
+        826.9286655298465,
+        816.9286655298465,
+        816.9286655298465,
+        816.9286655298465,
+        810.0882626633331,
+        810.0882626633331,
+        810.0882626633331,
+        800.0882626633331,
+        800.0882626633331,
+        800.0882626633331,
+        787.2325104696023,
+        787.2325104696023,
+        787.2325104696023,
+        777.2325104696023,
+        777.2325104696023,
+        777.2325104696023,
+        764.3767582758715,
+        764.3767582758715,
+        764.3767582758715,
+        749.0558694134919,
+        749.0558694134919,
+        749.0558694134919,
+        731.7353613378032,
+        731.7353613378032,
+        731.7353613378032,
+        716.4144724754236,
+        716.4144724754236,
+        716.4144724754236,
+        699.0939643997349,
+        699.0939643997349,
+        699.0939643997349,
+        683.7730755373553,
+        683.7730755373553,
+        683.7730755373553,
+        666.4525674616666,
+        666.4525674616666,
+        666.4525674616666,
+        647.6587150459484,
+        647.6587150459484,
+        647.6587150459484,
+        627.9625599857043,
+        627.9625599857043,
+        627.9625599857043,
+        609.168707569986,
+        609.168707569986,
+        609.168707569986,
+        591.8481994942973,
+        591.8481994942973,
+        591.8481994942973,
+        573.0543470785791,
+        573.0543470785791,
+        573.0543470785791,
+        553.358192018335,
+        553.358192018335,
+        553.358192018335,
+        533.358192018335,
+        533.358192018335,
+        533.358192018335,
+        513.6620369580909,
+        513.6620369580909,
+        513.6620369580909,
+        493.6620369580909,
+        493.6620369580909,
+        493.6620369580909,
+        473.9658818978467,
+        473.9658818978467,
+        473.9658818978467,
+        453.9658818978467,
+        453.9658818978467,
+        453.9658818978467,
+        434.26972683760255,
+        434.26972683760255,
+        434.26972683760255,
+        415.4758744218844,
+        415.4758744218844,
+        415.4758744218844,
+        395.7797193616402,
+        395.7797193616402,
+        395.7797193616402,
+        376.98586694592206,
+        376.98586694592206,
+        376.98586694592206,
+        359.66535887023326,
+        359.66535887023326,
+        359.66535887023326,
+        340.8715064545151,
+        340.8715064545151,
+        340.8715064545151,
+        323.5509983788263,
+        323.5509983788263,
+        323.5509983788263,
+        308.23010951644676,
+        308.23010951644676,
+        308.23010951644676,
+        290.90960144075797,
+        290.90960144075797,
+        290.90960144075797,
+        275.5887125783784,
+        275.5887125783784,
+        275.5887125783784,
+        262.73296038464764,
+        262.73296038464764,
+        262.73296038464764,
+        247.41207152226806,
+        247.41207152226806,
+        247.41207152226806,
+        234.55631932853726,
+        234.55631932853726,
+        234.55631932853726,
+        224.55631932853728,
+        224.55631932853728,
+        224.55631932853728,
+        211.70056713480648,
+        211.70056713480648,
+        211.70056713480648,
+        201.7005671348065,
+        201.7005671348065,
+        201.7005671348065,
+        194.86016426829315,
+        194.86016426829315,
+        194.86016426829315,
+        184.86016426829318,
+        184.86016426829318,
+        184.86016426829318,
+        178.01976140177982,
+        178.01976140177982,
+        178.01976140177982,
+        174.54679784844123,
+        174.54679784844123,
+        174.54679784844123,
+        167.70639498192787,
+        167.70639498192787,
+        167.70639498192787,
+        164.23343142858928,
+        164.23343142858928,
+        164.23343142858928,
+        157.39302856207593,
+        157.39302856207593,
+        157.39302856207593,
+        153.92006500873734,
+        153.92006500873734,
+        153.92006500873734,
+        153.92006500873734,
+        153.92006500873734,
+        153.92006500873734,
+        157.39302856207595,
+        157.39302856207595,
+        157.39302856207595,
+        157.39302856207595,
+        157.39302856207595,
+        157.39302856207595,
+        160.86599211541457,
+        160.86599211541457,
+        160.86599211541457,
+        167.70639498192796,
+        167.70639498192796,
+        167.70639498192796,
+        171.17935853526657,
+        171.17935853526657,
+        171.17935853526657,
+        171.17935853526657,
+        171.17935853526657,
+        171.17935853526657,
+        174.6523220886052,
+        174.6523220886052,
+        174.6523220886052,
+        181.49272495511858,
+        181.49272495511858,
+        181.49272495511858,
+        191.49272495511858,
+        191.49272495511858,
+        191.49272495511858,
+        204.34847714884935,
+        204.34847714884935,
+        204.34847714884935,
+        214.34847714884935,
+        214.34847714884935,
+        214.34847714884935,
+        227.20422934258013,
+        227.20422934258013,
+        227.20422934258013,
+        242.52511820495968,
+        242.52511820495968,
+        242.52511820495968,
+        255.38087039869046,
+        255.38087039869046,
+        255.38087039869046,
+        270.70175926107004,
+        270.70175926107004,
+        270.70175926107004,
+        288.02226733675883,
+        288.02226733675883,
+        288.02226733675883,
+        303.3431561991384,
+        303.3431561991384,
+        303.3431561991384,
+        316.19890839286916,
+        316.19890839286916,
+        316.19890839286916,
+        331.5197972552487,
+        331.5197972552487,
+        331.5197972552487,
+        348.8403053309375,
+        348.8403053309375,
+        348.8403053309375,
+        367.63415774665566,
+        367.63415774665566,
+        367.63415774665566,
+        387.3303128068998,
+        387.3303128068998,
+        387.3303128068998,
+        406.124165222618,
+        406.124165222618,
+        406.124165222618,
+        425.82032028286216,
+        425.82032028286216,
+        425.82032028286216,
+        444.6141726985803,
+        444.6141726985803,
+        444.6141726985803,
+        464.3103277588245,
+        464.3103277588245,
+        464.3103277588245,
+        484.3103277588245,
+        484.3103277588245,
+        484.3103277588245,
+        504.00648281906865,
+        504.00648281906865,
+        504.00648281906865,
+        524.0064828190687,
+        524.0064828190687,
+        524.0064828190687,
+        543.7026378793128,
+        543.7026378793128,
+        543.7026378793128,
+        563.7026378793128,
+        563.7026378793128,
+        563.7026378793128,
+        583.3987929395569,
+        583.3987929395569,
+        583.3987929395569,
+        602.1926453552751,
+        602.1926453552751,
+        602.1926453552751,
+        621.8888004155192,
+        621.8888004155192,
+        621.8888004155192,
+        640.6826528312374,
+        640.6826528312374,
+        640.6826528312374,
+        658.0031609069262,
+        658.0031609069262,
+        658.0031609069262,
+        676.7970133226444,
+        676.7970133226444,
+        676.7970133226444,
+        694.1175213983331,
+        694.1175213983331,
+        694.1175213983331,
+        709.4384102607127,
+        709.4384102607127,
+        709.4384102607127,
+        726.7589183364014,
+        726.7589183364014,
+        726.7589183364014,
+        742.0798071987809,
+        742.0798071987809,
+        742.0798071987809,
+        754.9355593925118,
+        754.9355593925118,
+        754.9355593925118,
+        770.2564482548913,
+        770.2564482548913,
+        770.2564482548913,
+        783.1122004486222,
+        783.1122004486222,
+        783.1122004486222,
+        793.1122004486222,
+        793.1122004486222,
+        793.1122004486222,
+        805.967952642353,
+        805.967952642353,
+        805.967952642353,
+        815.967952642353,
+        815.967952642353,
+        815.967952642353,
+        828.8237048360838,
+        828.8237048360838,
+        828.8237048360838,
+        838.8237048360838,
+        838.8237048360838,
+        838.8237048360838,
+        845.6641077025972,
+        845.6641077025972,
+        845.6641077025972,
+        849.1370712559358,
+        849.1370712559358,
+        849.1370712559358,
+        855.9774741224492,
+        855.9774741224492,
+        855.9774741224492,
+        859.4504376757877,
+        859.4504376757877,
+        859.4504376757877,
+        859.4504376757877,
+        859.4504376757877,
+        859.4504376757877,
+        862.9234012291263,
+        862.9234012291263,
+        862.9234012291263,
+        862.9234012291263,
+        862.9234012291263,
+        862.9234012291263,
+        859.4504376757877,
+        859.4504376757877,
+        859.4504376757877,
+        859.4504376757877,
+        859.4504376757877,
+        859.4504376757877,
+        862.9234012291263,
+        862.9234012291263,
+        862.9234012291263,
+        862.9234012291263,
+        862.9234012291263,
+        862.9234012291263,
+        859.4504376757877,
+        859.4504376757877,
+        859.4504376757877,
+        852.6100348092743,
+        852.6100348092743,
+        852.6100348092743,
+        842.6100348092743,
+        842.6100348092743,
+        842.6100348092743,
+        835.769631942761,
+        835.769631942761,
+        835.769631942761,
+        825.769631942761,
+        825.769631942761,
+        825.769631942761,
+        812.9138797490301,
+        812.9138797490301,
+        812.9138797490301,
+        802.9138797490301,
+        802.9138797490301,
+        802.9138797490301,
+        790.0581275552993,
+        790.0581275552993,
+        790.0581275552993,
+        780.0581275552993,
+        780.0581275552993,
+        780.0581275552993,
+        767.2023753615684,
+        767.2023753615684,
+        767.2023753615684,
+        751.8814864991889,
+        751.8814864991889,
+        751.8814864991889,
+        734.5609784235002,
+        734.5609784235002,
+        734.5609784235002,
+        719.2400895611206,
+        719.2400895611206,
+        719.2400895611206,
+        706.3843373673898,
+        706.3843373673898,
+        706.3843373673898,
+        691.0634485050102,
+        691.0634485050102,
+        691.0634485050102,
+        673.7429404293215,
+        673.7429404293215,
+        673.7429404293215,
+        654.9490880136033,
+        654.9490880136033,
+        654.9490880136033,
+        635.2529329533592,
+        635.2529329533592,
+        635.2529329533592,
+        616.459080537641,
+        616.459080537641,
+        616.459080537641,
+        596.7629254773968,
+        596.7629254773968,
+        596.7629254773968,
+        577.9690730616786,
+        577.9690730616786,
+        577.9690730616786,
+        558.2729180014345,
+        558.2729180014345,
+        558.2729180014345,
+        539.4790655857163,
+        539.4790655857163,
+        539.4790655857163,
+        519.7829105254722,
+        519.7829105254722,
+        519.7829105254722,
+        500.989058109754,
+        500.989058109754,
+        500.989058109754,
+        481.29290304950985,
+        481.29290304950985,
+        481.29290304950985,
+        461.29290304950985,
+        461.29290304950985,
+        461.29290304950985,
+        441.5967479892657,
+        441.5967479892657,
+        441.5967479892657,
+        422.8028955735475,
+        422.8028955735475,
+        422.8028955735475,
+        403.10674051330335,
+        403.10674051330335,
+        403.10674051330335,
+        384.3128880975852,
+        384.3128880975852,
+        384.3128880975852,
+        364.616733037341,
+        364.616733037341,
+        364.616733037341,
+        345.82288062162286,
+        345.82288062162286,
+        345.82288062162286,
+        328.50237254593407,
+        328.50237254593407,
+        328.50237254593407,
+        313.1814836835545,
+        313.1814836835545,
+        313.1814836835545,
+        295.8609756078657,
+        295.8609756078657,
+        295.8609756078657,
+        280.5400867454862,
+        280.5400867454862,
+        280.5400867454862,
+        267.6843345517554,
+        267.6843345517554,
+        267.6843345517554,
+        252.36344568937585,
+        252.36344568937585,
+        252.36344568937585,
+        239.50769349564507,
+        239.50769349564507,
+        239.50769349564507,
+        229.50769349564507,
+        229.50769349564507,
+        229.50769349564507,
+        216.6519413019143,
+        216.6519413019143,
+        216.6519413019143,
+        206.6519413019143,
+        206.6519413019143,
+        206.6519413019143,
+        199.8115384354009,
+        199.8115384354009,
+        199.8115384354009,
+        189.8115384354009,
+        189.8115384354009,
+        189.8115384354009,
+        182.97113556888752,
+        182.97113556888752,
+        182.97113556888752,
+        179.4981720155489,
+        179.4981720155489,
+        179.4981720155489,
+        172.65776914903552,
+        172.65776914903552,
+        172.65776914903552,
+        169.1848055956969,
+        169.1848055956969,
+        169.1848055956969,
+        169.1848055956969,
+        169.1848055956969,
+        169.1848055956969,
+        165.71184204235828,
+        165.71184204235828,
+        165.71184204235828,
+        165.71184204235828,
+        165.71184204235828,
+        165.71184204235828,
+        169.18480559569687,
+        169.18480559569687,
+        169.18480559569687,
+        169.18480559569687,
+        169.18480559569687,
+        169.18480559569687,
+        172.65776914903546,
+        172.65776914903546,
+        172.65776914903546,
+        179.49817201554885,
+        179.49817201554885,
+        179.49817201554885,
+        189.49817201554885,
+        189.49817201554885,
+        189.49817201554885,
+        196.33857488206223,
+        196.33857488206223,
+        196.33857488206223,
+        206.33857488206223,
+        206.33857488206223,
+        206.33857488206223,
+        213.17897774857562,
+        213.17897774857562,
+        213.17897774857562,
+        223.17897774857562,
+        223.17897774857562,
+        223.17897774857562,
+        236.0347299423064,
+        236.0347299423064,
+        236.0347299423064,
+        246.0347299423064,
+        246.0347299423064,
+        246.0347299423064,
+        258.8904821360372,
+        258.8904821360372,
+        258.8904821360372,
+        274.2113709984167,
+        274.2113709984167,
+        274.2113709984167,
+        287.0671231921475,
+        287.0671231921475,
+        287.0671231921475,
+        302.38801205452705,
+        302.38801205452705,
+        302.38801205452705,
+        319.70852013021585,
+        319.70852013021585,
+        319.70852013021585,
+        335.0294089925954,
+        335.0294089925954,
+        335.0294089925954,
+        352.3499170682842,
+        352.3499170682842,
+        352.3499170682842,
+        371.14376948400235,
+        371.14376948400235,
+        371.14376948400235,
+        388.46427755969114,
+        388.46427755969114,
+        388.46427755969114,
+        407.2581299754093,
+        407.2581299754093,
+        407.2581299754093,
+        426.95428503565347,
+        426.95428503565347,
+        426.95428503565347,
+        445.74813745137163,
+        445.74813745137163,
+        445.74813745137163,
+        465.4442925116158,
+        465.4442925116158,
+        465.4442925116158,
+        485.4442925116158,
+        485.4442925116158,
+        485.4442925116158,
+        505.14044757185997,
+        505.14044757185997,
+        505.14044757185997,
+        525.14044757186,
+        525.14044757186,
+        525.14044757186,
+        544.8366026321041,
+        544.8366026321041,
+        544.8366026321041,
+        564.8366026321041,
+        564.8366026321041,
+        564.8366026321041,
+        584.5327576923482,
+        584.5327576923482,
+        584.5327576923482,
+        603.3266101080665,
+        603.3266101080665,
+        603.3266101080665,
+        620.6471181837552,
+        620.6471181837552,
+        620.6471181837552,
+        639.4409705994734,
+        639.4409705994734,
+        639.4409705994734,
+        656.7614786751622,
+        656.7614786751622,
+        656.7614786751622,
+        675.5553310908804,
+        675.5553310908804,
+        675.5553310908804,
+        692.8758391665691,
+        692.8758391665691,
+        692.8758391665691,
+        708.1967280289487,
+        708.1967280289487,
+        708.1967280289487,
+        725.5172361046374,
+        725.5172361046374,
+        725.5172361046374,
+        740.8381249670169,
+        740.8381249670169,
+        740.8381249670169,
+        753.6938771607477,
+        753.6938771607477,
+        753.6938771607477,
+        769.0147660231272,
+        769.0147660231272,
+        769.0147660231272,
+        781.870518216858,
+        781.870518216858,
+        781.870518216858,
+        791.870518216858,
+        791.870518216858,
+        791.870518216858,
+        804.7262704105888,
+        804.7262704105888,
+        804.7262704105888,
+        814.7262704105888,
+        814.7262704105888,
+        814.7262704105888,
+        821.5666732771022,
+        821.5666732771022,
+        821.5666732771022,
+        831.5666732771022,
+        831.5666732771022,
+        831.5666732771022,
+        838.4070761436155,
+        838.4070761436155,
+        838.4070761436155,
+        841.8800396969541,
+        841.8800396969541,
+        841.8800396969541,
+        848.7204425634675,
+        848.7204425634675,
+        848.7204425634675,
+        852.193406116806,
+        852.193406116806,
+        852.193406116806,
+        852.193406116806,
+        852.193406116806,
+        852.193406116806,
+        855.6663696701446,
+        855.6663696701446,
+        855.6663696701446,
+        855.6663696701446,
+        855.6663696701446,
+        855.6663696701446,
+        852.193406116806,
+        852.193406116806,
+        852.193406116806,
+        852.193406116806,
+        852.193406116806,
+        852.193406116806,
+        848.7204425634675,
+        848.7204425634675,
+        848.7204425634675,
+        841.8800396969541,
+        841.8800396969541,
+        841.8800396969541,
+        838.4070761436155,
+        838.4070761436155,
+        838.4070761436155,
+        831.5666732771022,
+        831.5666732771022,
+        831.5666732771022,
+        821.5666732771022,
+        821.5666732771022,
+        821.5666732771022,
+        808.7109210833713,
+        808.7109210833713,
+        808.7109210833713,
+        798.7109210833713,
+        798.7109210833713,
+        798.7109210833713,
+        785.8551688896405,
+        785.8551688896405,
+        785.8551688896405,
+        775.8551688896405,
+        775.8551688896405,
+        775.8551688896405,
+        762.9994166959096,
+        762.9994166959096,
+        762.9994166959096,
+        747.6785278335301,
+        747.6785278335301,
+        747.6785278335301,
+        734.8227756397993,
+        734.8227756397993,
+        734.8227756397993,
+        719.5018867774197,
+        719.5018867774197,
+        719.5018867774197,
+        702.181378701731,
+        702.181378701731,
+        702.181378701731,
+        686.8604898393514,
+        686.8604898393514,
+        686.8604898393514,
+        669.5399817636627,
+        669.5399817636627,
+        669.5399817636627,
+        650.7461293479445,
+        650.7461293479445,
+        650.7461293479445,
+        633.4256212722557,
+        633.4256212722557,
+        633.4256212722557,
+        614.6317688565375,
+        614.6317688565375,
+        614.6317688565375,
+        594.9356137962934,
+        594.9356137962934,
+        594.9356137962934,
+        576.1417613805752,
+        576.1417613805752,
+        576.1417613805752,
+        556.4456063203311,
+        556.4456063203311,
+        556.4456063203311,
+        536.4456063203311,
+        536.4456063203311,
+        536.4456063203311,
+        516.749451260087,
+        516.749451260087,
+        516.749451260087,
+        496.74945126008697,
+        496.74945126008697,
+        496.74945126008697,
+        477.0532961998428,
+        477.0532961998428,
+        477.0532961998428,
+        457.0532961998428,
+        457.0532961998428,
+        457.0532961998428,
+        437.35714113959864,
+        437.35714113959864,
+        437.35714113959864,
+        418.5632887238805,
+        418.5632887238805,
+        418.5632887238805,
+        398.8671336636363,
+        398.8671336636363,
+        398.8671336636363,
+        380.07328124791815,
+        380.07328124791815,
+        380.07328124791815,
+        362.75277317222935,
+        362.75277317222935,
+        362.75277317222935,
+        343.9589207565112,
+        343.9589207565112,
+        343.9589207565112,
+        326.6384126808224,
+        326.6384126808224,
+        326.6384126808224,
+        311.31752381844285,
+        311.31752381844285,
+        311.31752381844285,
+        293.99701574275406,
+        293.99701574275406,
+        293.99701574275406,
+        278.6761268803745,
+        278.6761268803745,
+        278.6761268803745,
+        265.82037468664373,
+        265.82037468664373,
+        265.82037468664373,
+        250.49948582426416,
+        250.49948582426416,
+        250.49948582426416,
+        237.64373363053335,
+        237.64373363053335,
+        237.64373363053335,
+        227.64373363053338,
+        227.64373363053338,
+        227.64373363053338,
+        214.78798143680257,
+        214.78798143680257,
+        214.78798143680257,
+        204.7879814368026,
+        204.7879814368026,
+        204.7879814368026,
+        197.94757857028924,
+        197.94757857028924,
+        197.94757857028924,
+        187.94757857028927,
+        187.94757857028927,
+        187.94757857028927,
+        181.1071757037759,
+        181.1071757037759,
+        181.1071757037759,
+        171.10717570377594,
+        171.10717570377594,
+        171.10717570377594,
+        164.26677283726258,
+        164.26677283726258,
+        164.26677283726258,
+        160.793809283924,
+        160.793809283924,
+        160.793809283924,
+        160.793809283924,
+        160.793809283924,
+        160.793809283924,
+        157.3208457305854,
+        157.3208457305854,
+        157.3208457305854,
+        157.3208457305854,
+        157.3208457305854,
+        157.3208457305854,
+        160.79380928392402,
+        160.79380928392402,
+        160.79380928392402,
+        160.79380928392402,
+        160.79380928392402,
+        160.79380928392402,
+        157.32084573058543,
+        157.32084573058543,
+        157.32084573058543,
+        157.32084573058543,
+        157.32084573058543,
+        157.32084573058543,
+        160.79380928392405,
+        160.79380928392405,
+        160.79380928392405,
+        167.63421215043743,
+        167.63421215043743,
+        167.63421215043743,
+        177.63421215043743,
+        177.63421215043743,
+        177.63421215043743,
+        184.47461501695082,
+        184.47461501695082,
+        184.47461501695082,
+        194.47461501695082,
+        194.47461501695082,
+        194.47461501695082,
+        207.3303672106816,
+        207.3303672106816,
+        207.3303672106816,
+        217.3303672106816,
+        217.3303672106816,
+        217.3303672106816,
+        230.18611940441238,
+        230.18611940441238,
+        230.18611940441238,
+        240.18611940441238,
+        240.18611940441238,
+        240.18611940441238,
+        253.04187159814316,
+        253.04187159814316,
+        253.04187159814316,
+        268.36276046052274,
+        268.36276046052274,
+        268.36276046052274,
+        285.68326853621153,
+        285.68326853621153,
+        285.68326853621153,
+        301.0041573985911,
+        301.0041573985911,
+        301.0041573985911,
+        313.85990959232186,
+        313.85990959232186,
+        313.85990959232186,
+        329.1807984547014,
+        329.1807984547014,
+        329.1807984547014,
+        346.5013065303902,
+        346.5013065303902,
+        346.5013065303902,
+        365.29515894610836,
+        365.29515894610836,
+        365.29515894610836,
+        384.9913140063525,
+        384.9913140063525,
+        384.9913140063525,
+        403.7851664220707,
+        403.7851664220707,
+        403.7851664220707,
+        423.48132148231485,
+        423.48132148231485,
+        423.48132148231485,
+        442.275173898033,
+        442.275173898033,
+        442.275173898033,
+        461.9713289582772,
+        461.9713289582772,
+        461.9713289582772,
+        481.9713289582772,
+        481.9713289582772,
+        481.9713289582772,
+        501.66748401852135,
+        501.66748401852135,
+        501.66748401852135,
+        521.6674840185213,
+        521.6674840185213,
+        521.6674840185213,
+        541.3636390787655,
+        541.3636390787655,
+        541.3636390787655,
+        561.3636390787655,
+        561.3636390787655,
+        561.3636390787655,
+        581.0597941390096,
+        581.0597941390096,
+        581.0597941390096,
+        599.8536465547278,
+        599.8536465547278,
+        599.8536465547278,
+        619.5498016149719,
+        619.5498016149719,
+        619.5498016149719,
+        638.3436540306901,
+        638.3436540306901,
+        638.3436540306901,
+        655.6641621063789,
+        655.6641621063789,
+        655.6641621063789,
+        674.4580145220971,
+        674.4580145220971,
+        674.4580145220971,
+        691.7785225977858,
+        691.7785225977858,
+        691.7785225977858,
+        707.0994114601654,
+        707.0994114601654,
+        707.0994114601654,
+        724.4199195358541,
+        724.4199195358541,
+        724.4199195358541,
+        739.7408083982336,
+        739.7408083982336,
+        739.7408083982336,
+        757.0613164739224,
+        757.0613164739224,
+        757.0613164739224,
+        772.3822053363019,
+        772.3822053363019,
+        772.3822053363019,
+        785.2379575300328,
+        785.2379575300328,
+        785.2379575300328,
+        795.2379575300328,
+        795.2379575300328,
+        795.2379575300328,
+        808.0937097237636,
+        808.0937097237636,
+        808.0937097237636,
+        818.0937097237636,
+        818.0937097237636,
+        818.0937097237636,
+        824.934112590277,
+        824.934112590277,
+        824.934112590277,
+        834.934112590277,
+        834.934112590277,
+        834.934112590277,
+        841.7745154567904,
+        841.7745154567904,
+        841.7745154567904,
+        845.2474790101289,
+        845.2474790101289,
+        845.2474790101289,
+        852.0878818766423,
+        852.0878818766423,
+        852.0878818766423,
+        855.5608454299809,
+        855.5608454299809,
+        855.5608454299809,
+        862.4012482964943,
+        862.4012482964943,
+        862.4012482964943,
+        865.8742118498328,
+        865.8742118498328,
+        865.8742118498328,
+        865.8742118498328,
+        865.8742118498328,
+        865.8742118498328,
+        862.4012482964943,
+        862.4012482964943,
+        862.4012482964943,
+        862.4012482964943,
+        862.4012482964943,
+        862.4012482964943,
+        858.9282847431557,
+        858.9282847431557,
+        858.9282847431557,
+        858.9282847431557,
+        858.9282847431557,
+        858.9282847431557,
+        855.4553211898171,
+        855.4553211898171,
+        855.4553211898171,
+        848.6149183233038,
+        848.6149183233038,
+        848.6149183233038,
+        838.6149183233038,
+        838.6149183233038,
+        838.6149183233038,
+        831.7745154567904,
+        831.7745154567904,
+        831.7745154567904,
+        821.7745154567904,
+        821.7745154567904,
+        821.7745154567904,
+        814.934112590277,
+        814.934112590277,
+        814.934112590277,
+        804.934112590277,
+        804.934112590277,
+        804.934112590277,
+        792.0783603965461,
+        792.0783603965461,
+        792.0783603965461,
+        776.7574715341666,
+        776.7574715341666,
+        776.7574715341666,
+        763.9017193404358,
+        763.9017193404358,
+        763.9017193404358,
+        753.9017193404358,
+        753.9017193404358,
+        753.9017193404358,
+        741.0459671467049,
+        741.0459671467049,
+        741.0459671467049,
+        725.7250782843254,
+        725.7250782843254,
+        725.7250782843254,
+        708.4045702086366,
+        708.4045702086366,
+        708.4045702086366,
+        689.6107177929184,
+        689.6107177929184,
+        689.6107177929184,
+        672.2902097172297,
+        672.2902097172297,
+        672.2902097172297,
+        653.4963573015115,
+        653.4963573015115,
+        653.4963573015115,
+        636.1758492258227,
+        636.1758492258227,
+        636.1758492258227,
+        617.3819968101045,
+        617.3819968101045,
+        617.3819968101045,
+        597.6858417498604,
+        597.6858417498604,
+        597.6858417498604,
+        578.8919893341422,
+        578.8919893341422,
+        578.8919893341422,
+        559.1958342738981,
+        559.1958342738981,
+        559.1958342738981,
+        540.4019818581799,
+        540.4019818581799,
+        540.4019818581799,
+        520.7058267979357,
+        520.7058267979357,
+        520.7058267979357,
+        501.9119743822176,
+        501.9119743822176,
+        501.9119743822176,
+        482.2158193219734,
+        482.2158193219734,
+        482.2158193219734,
+        463.42196690625525,
+        463.42196690625525,
+        463.42196690625525,
+        443.7258118460111,
+        443.7258118460111,
+        443.7258118460111,
+        423.7258118460111,
+        423.7258118460111,
+        423.7258118460111,
+        404.0296567857669,
+        404.0296567857669,
+        404.0296567857669,
+        385.23580437004875,
+        385.23580437004875,
+        385.23580437004875,
+        365.5396493098046,
+        365.5396493098046,
+        365.5396493098046,
+        346.7457968940864,
+        346.7457968940864,
+        346.7457968940864,
+        329.42528881839763,
+        329.42528881839763,
+        329.42528881839763,
+        314.1043999560181,
+        314.1043999560181,
+        314.1043999560181,
+        296.7838918803293,
+        296.7838918803293,
+        296.7838918803293,
+        281.46300301794975,
+        281.46300301794975,
+        281.46300301794975,
+        268.60725082421897,
+        268.60725082421897,
+        268.60725082421897,
+        253.28636196183942,
+        253.28636196183942,
+        253.28636196183942,
+        240.43060976810864,
+        240.43060976810864,
+        240.43060976810864,
+        230.43060976810864,
+        230.43060976810864,
+        230.43060976810864,
+        217.57485757437786,
+        217.57485757437786,
+        217.57485757437786,
+        207.57485757437786,
+        207.57485757437786,
+        207.57485757437786,
+        200.73445470786447,
+        200.73445470786447,
+        200.73445470786447,
+        190.73445470786447,
+        190.73445470786447,
+        190.73445470786447,
+        183.8940518413511,
+        183.8940518413511,
+        183.8940518413511,
+        180.42108828801247,
+        180.42108828801247,
+        180.42108828801247,
+        173.58068542149908,
+        173.58068542149908,
+        173.58068542149908,
+        170.10772186816047,
+        170.10772186816047,
+        170.10772186816047,
+        170.10772186816047,
+        170.10772186816047,
+        170.10772186816047,
+        166.63475831482185,
+        166.63475831482185,
+        166.63475831482185,
+        166.63475831482185,
+        166.63475831482185,
+        166.63475831482185,
+        170.10772186816044,
+        170.10772186816044,
+        170.10772186816044,
+        170.10772186816044,
+        170.10772186816044,
+        170.10772186816044,
+        173.58068542149903,
+        173.58068542149903,
+        173.58068542149903,
+        180.4210882880124,
+        180.4210882880124,
+        180.4210882880124,
+        190.4210882880124,
+        190.4210882880124,
+        190.4210882880124,
+        197.2614911545258,
+        197.2614911545258,
+        197.2614911545258,
+        207.2614911545258,
+        207.2614911545258,
+        207.2614911545258,
+        214.1018940210392,
+        214.1018940210392,
+        214.1018940210392,
+        224.1018940210392,
+        224.1018940210392,
+        224.1018940210392,
+        236.95764621476997,
+        236.95764621476997,
+        236.95764621476997,
+        246.95764621476997,
+        246.95764621476997,
+        246.95764621476997,
+        259.81339840850075,
+        259.81339840850075,
+        259.81339840850075,
+        275.1342872708803,
+        275.1342872708803,
+        275.1342872708803,
+        287.9900394646111,
+        287.9900394646111,
+        287.9900394646111,
+        303.3109283269906,
+        303.3109283269906,
+        303.3109283269906,
+        320.6314364026794,
+        320.6314364026794,
+        320.6314364026794,
+        335.95232526505896,
+        335.95232526505896,
+        335.95232526505896,
+        353.27283334074775,
+        353.27283334074775,
+        353.27283334074775,
+        372.0666857564659,
+        372.0666857564659,
+        372.0666857564659,
+        389.3871938321547,
+        389.3871938321547,
+        389.3871938321547,
+        408.18104624787287,
+        408.18104624787287,
+        408.18104624787287,
+        427.87720130811704,
+        427.87720130811704,
+        427.87720130811704,
+        446.6710537238352,
+        446.6710537238352,
+        446.6710537238352,
+        466.36720878407937,
+        466.36720878407937,
+        466.36720878407937,
+        486.36720878407937,
+        486.36720878407937,
+        486.36720878407937,
+        506.06336384432353,
+        506.06336384432353,
+        506.06336384432353,
+        526.0633638443235,
+        526.0633638443235,
+        526.0633638443235,
+        545.7595189045676,
+        545.7595189045676,
+        545.7595189045676,
+        564.5533713202858,
+        564.5533713202858,
+        564.5533713202858,
+        584.2495263805299,
+        584.2495263805299,
+        584.2495263805299,
+        603.0433787962481,
+        603.0433787962481,
+        603.0433787962481,
+        622.7395338564922,
+        622.7395338564922,
+        622.7395338564922,
+        641.5333862722105,
+        641.5333862722105,
+        641.5333862722105,
+        658.8538943478992,
+        658.8538943478992,
+        658.8538943478992,
+        677.6477467636174,
+        677.6477467636174,
+        677.6477467636174,
+        694.9682548393062,
+        694.9682548393062,
+        694.9682548393062,
+        710.2891437016857,
+        710.2891437016857,
+        710.2891437016857,
+        727.6096517773744,
+        727.6096517773744,
+        727.6096517773744,
+        742.930540639754,
+        742.930540639754,
+        742.930540639754,
+        755.7862928334848,
+        755.7862928334848,
+        755.7862928334848,
+        771.1071816958644,
+        771.1071816958644,
+        771.1071816958644,
+        783.9629338895952,
+        783.9629338895952,
+        783.9629338895952,
+        793.9629338895952,
+        793.9629338895952,
+        793.9629338895952,
+        806.8186860833259,
+        806.8186860833259,
+        806.8186860833259,
+        816.8186860833259,
+        816.8186860833259,
+        816.8186860833259,
+        823.6590889498393,
+        823.6590889498393,
+        823.6590889498393,
+        833.6590889498393,
+        833.6590889498393,
+        833.6590889498393,
+        840.4994918163527,
+        840.4994918163527,
+        840.4994918163527,
+        843.9724553696913,
+        843.9724553696913,
+        843.9724553696913,
+        850.8128582362046,
+        850.8128582362046,
+        850.8128582362046,
+        854.2858217895432,
+        854.2858217895432,
+        854.2858217895432,
+        854.2858217895432,
+        854.2858217895432,
+        854.2858217895432,
+        850.8128582362046,
+        850.8128582362046,
+        850.8128582362046,
+        850.8128582362046,
+        850.8128582362046,
+        850.8128582362046,
+        847.3398946828661,
+        847.3398946828661,
+        847.3398946828661,
+        847.3398946828661,
+        847.3398946828661,
+        847.3398946828661,
+        843.8669311295275,
+        843.8669311295275,
+        843.8669311295275,
+        837.0265282630141,
+        837.0265282630141,
+        837.0265282630141,
+        833.5535647096756,
+        833.5535647096756,
+        833.5535647096756,
+        826.7131618431622,
+        826.7131618431622,
+        826.7131618431622,
+        816.7131618431622,
+        816.7131618431622,
+        816.7131618431622,
+        809.8727589766488,
+        809.8727589766488,
+        809.8727589766488,
+        799.8727589766488,
+        799.8727589766488,
+        799.8727589766488,
+        787.017006782918,
+        787.017006782918,
+        787.017006782918,
+        777.017006782918,
+        777.017006782918,
+        777.017006782918,
+        764.1612545891871,
+        764.1612545891871,
+        764.1612545891871,
+        748.8403657268076,
+        748.8403657268076,
+        748.8403657268076,
+        735.9846135330768,
+        735.9846135330768,
+        735.9846135330768,
+        720.6637246706972,
+        720.6637246706972,
+        720.6637246706972,
+        703.3432165950085,
+        703.3432165950085,
+        703.3432165950085,
+        684.5493641792903,
+        684.5493641792903,
+        684.5493641792903,
+        667.2288561036015,
+        667.2288561036015,
+        667.2288561036015,
+        648.4350036878833,
+        648.4350036878833,
+        648.4350036878833,
+        631.1144956121946,
+        631.1144956121946,
+        631.1144956121946,
+        612.3206431964763,
+        612.3206431964763,
+        612.3206431964763,
+        592.6244881362322,
+        592.6244881362322,
+        592.6244881362322,
+        573.830635720514,
+        573.830635720514,
+        573.830635720514,
+        554.1344806602699,
+        554.1344806602699,
+        554.1344806602699,
+        534.1344806602699,
+        534.1344806602699,
+        534.1344806602699,
+        514.4383256000258,
+        514.4383256000258,
+        514.4383256000258,
+        494.4383256000258,
+        494.4383256000258,
+        494.4383256000258,
+        474.7421705397816,
+        474.7421705397816,
+        474.7421705397816,
+        455.94831812406346,
+        455.94831812406346,
+        455.94831812406346,
+        436.2521630638193,
+        436.2521630638193,
+        436.2521630638193,
+        417.45831064810113,
+        417.45831064810113,
+        417.45831064810113,
+        397.76215558785697,
+        397.76215558785697,
+        397.76215558785697,
+        378.9683031721388,
+        378.9683031721388,
+        378.9683031721388,
+        361.64779509645,
+        361.64779509645,
+        361.64779509645,
+        342.85394268073185,
+        342.85394268073185,
+        342.85394268073185,
+        325.53343460504306,
+        325.53343460504306,
+        325.53343460504306,
+        310.2125457426635,
+        310.2125457426635,
+        310.2125457426635,
+        292.8920376669747,
+        292.8920376669747,
+        292.8920376669747,
+        277.57114880459517,
+        277.57114880459517,
+        277.57114880459517,
+        264.7153966108644,
+        264.7153966108644,
+        264.7153966108644,
+        249.3945077484848,
+        249.3945077484848,
+        249.3945077484848,
+        236.538755554754,
+        236.538755554754,
+        236.538755554754,
+        226.53875555475403,
+        226.53875555475403,
+        226.53875555475403,
+        213.68300336102322,
+        213.68300336102322,
+        213.68300336102322,
+        203.68300336102325,
+        203.68300336102325,
+        203.68300336102325,
+        196.8426004945099,
+        196.8426004945099,
+        196.8426004945099,
+        186.84260049450992,
+        186.84260049450992,
+        186.84260049450992,
+        180.00219762799657,
+        180.00219762799657,
+        180.00219762799657,
+        170.0021976279966,
+        170.0021976279966,
+        170.0021976279966,
+        163.16179476148324,
+        163.16179476148324,
+        163.16179476148324,
+        159.68883120814465,
+        159.68883120814465,
+        159.68883120814465,
+        159.68883120814465,
+        159.68883120814465,
+        159.68883120814465,
+        156.21586765480606,
+        156.21586765480606,
+        156.21586765480606,
+        156.21586765480606,
+        156.21586765480606,
+        156.21586765480606,
+        159.68883120814468,
+        159.68883120814468,
+        159.68883120814468,
+        159.68883120814468,
+        159.68883120814468,
+        159.68883120814468,
+        163.1617947614833,
+        163.1617947614833,
+        163.1617947614833,
+        163.1617947614833,
+        163.1617947614833,
+        163.1617947614833,
+        166.6347583148219,
+        166.6347583148219,
+        166.6347583148219,
+        173.4751611813353,
+        173.4751611813353,
+        173.4751611813353,
+        183.4751611813353,
+        183.4751611813353,
+        183.4751611813353,
+        190.31556404784868,
+        190.31556404784868,
+        190.31556404784868,
+        200.31556404784868,
+        200.31556404784868,
+        200.31556404784868,
+        213.17131624157946,
+        213.17131624157946,
+        213.17131624157946,
+        223.17131624157946,
+        223.17131624157946,
+        223.17131624157946,
+        230.01171910809285,
+        230.01171910809285,
+        230.01171910809285,
+        240.01171910809285,
+        240.01171910809285,
+        240.01171910809285,
+        252.86747130182363,
+        252.86747130182363,
+        252.86747130182363,
+        268.1883601642032,
+        268.1883601642032,
+        268.1883601642032,
+        285.50886823989197,
+        285.50886823989197,
+        285.50886823989197,
+        300.8297571022715,
+        300.8297571022715,
+        300.8297571022715,
+        318.1502651779603,
+        318.1502651779603,
+        318.1502651779603,
+        336.94411759367847,
+        336.94411759367847,
+        336.94411759367847,
+        354.26462566936726,
+        354.26462566936726,
+        354.26462566936726,
+        369.5855145317468,
+        369.5855145317468,
+        369.5855145317468,
+        386.9060226074356,
+        386.9060226074356,
+        386.9060226074356,
+        405.69987502315377,
+        405.69987502315377,
+        405.69987502315377,
+        425.39603008339793,
+        425.39603008339793,
+        425.39603008339793,
+        445.39603008339793,
+        445.39603008339793,
+        445.39603008339793,
+        465.0921851436421,
+        465.0921851436421,
+        465.0921851436421,
+        485.0921851436421,
+        485.0921851436421,
+        485.0921851436421,
+        504.78834020388626,
+        504.78834020388626,
+        504.78834020388626,
+        524.7883402038863,
+        524.7883402038863,
+        524.7883402038863,
+        544.4844952641304,
+        544.4844952641304,
+        544.4844952641304,
+        564.4844952641304,
+        564.4844952641304,
+        564.4844952641304,
+        584.1806503243745,
+        584.1806503243745,
+        584.1806503243745,
+        602.9745027400927,
+        602.9745027400927,
+        602.9745027400927,
+        622.6706578003368,
+        622.6706578003368,
+        622.6706578003368,
+        641.464510216055,
+        641.464510216055,
+        641.464510216055,
+        658.7850182917438,
+        658.7850182917438,
+        658.7850182917438,
+        677.578870707462,
+        677.578870707462,
+        677.578870707462,
+        694.8993787831507,
+        694.8993787831507,
+        694.8993787831507,
+        710.2202676455303,
+        710.2202676455303,
+        710.2202676455303,
+        727.540775721219,
+        727.540775721219,
+        727.540775721219,
+        742.8616645835986,
+        742.8616645835986,
+        742.8616645835986,
+        755.7174167773294,
+        755.7174167773294,
+        755.7174167773294,
+        771.0383056397089,
+        771.0383056397089,
+        771.0383056397089,
+        783.8940578334398,
+        783.8940578334398,
+        783.8940578334398,
+        793.8940578334398,
+        793.8940578334398,
+        793.8940578334398,
+        806.7498100271706,
+        806.7498100271706,
+        806.7498100271706,
+        816.7498100271706,
+        816.7498100271706,
+        816.7498100271706,
+        829.6055622209014,
+        829.6055622209014,
+        829.6055622209014,
+        839.6055622209014,
+        839.6055622209014,
+        839.6055622209014,
+        846.4459650874148,
+        846.4459650874148,
+        846.4459650874148,
+        849.9189286407534,
+        849.9189286407534,
+        849.9189286407534,
+        856.7593315072668,
+        856.7593315072668,
+        856.7593315072668,
+        860.2322950606053,
+        860.2322950606053,
+        860.2322950606053,
+        860.2322950606053,
+        860.2322950606053,
+        860.2322950606053,
+        863.7052586139439,
+        863.7052586139439,
+        863.7052586139439,
+        863.7052586139439,
+        863.7052586139439,
+        863.7052586139439,
+        860.2322950606053,
+        860.2322950606053,
+        860.2322950606053,
+        860.2322950606053,
+        860.2322950606053,
+        860.2322950606053,
+        863.7052586139439,
+        863.7052586139439,
+        863.7052586139439,
+        863.7052586139439,
+        863.7052586139439,
+        863.7052586139439,
+        860.2322950606053,
+        860.2322950606053,
+        860.2322950606053,
+        853.391892194092,
+        853.391892194092,
+        853.391892194092,
+        843.391892194092,
+        843.391892194092,
+        843.391892194092,
+        836.5514893275786,
+        836.5514893275786,
+        836.5514893275786,
+        826.5514893275786,
+        826.5514893275786,
+        826.5514893275786,
+        813.6957371338477,
+        813.6957371338477,
+        813.6957371338477,
+        803.6957371338477,
+        803.6957371338477,
+        803.6957371338477,
+        790.8399849401169,
+        790.8399849401169,
+        790.8399849401169,
+        780.8399849401169,
+        780.8399849401169,
+        780.8399849401169,
+        767.984232746386,
+        767.984232746386,
+        767.984232746386,
+        752.6633438840065,
+        752.6633438840065,
+        752.6633438840065,
+        735.3428358083178,
+        735.3428358083178,
+        735.3428358083178,
+        720.0219469459382,
+        720.0219469459382,
+        720.0219469459382,
+        707.1661947522074,
+        707.1661947522074,
+        707.1661947522074,
+        691.8453058898278,
+        691.8453058898278,
+        691.8453058898278,
+        674.5247978141391,
+        674.5247978141391,
+        674.5247978141391,
+        655.7309453984209,
+        655.7309453984209,
+        655.7309453984209,
+        636.0347903381768,
+        636.0347903381768,
+        636.0347903381768,
+        617.2409379224586,
+        617.2409379224586,
+        617.2409379224586,
+        597.5447828622144,
+        597.5447828622144,
+        597.5447828622144,
+        578.7509304464962,
+        578.7509304464962,
+        578.7509304464962,
+        559.0547753862521,
+        559.0547753862521,
+        559.0547753862521,
+        540.2609229705339,
+        540.2609229705339,
+        540.2609229705339,
+        520.5647679102898,
+        520.5647679102898,
+        520.5647679102898,
+        501.7709154945716,
+        501.7709154945716,
+        501.7709154945716,
+        482.07476043432746,
+        482.07476043432746,
+        482.07476043432746,
+        463.2809080186093,
+        463.2809080186093,
+        463.2809080186093,
+        443.58475295836513,
+        443.58475295836513,
+        443.58475295836513,
+        423.58475295836513,
+        423.58475295836513,
+        423.58475295836513,
+        403.88859789812096,
+        403.88859789812096,
+        403.88859789812096,
+        385.0947454824028,
+        385.0947454824028,
+        385.0947454824028,
+        365.39859042215863,
+        365.39859042215863,
+        365.39859042215863,
+        346.60473800644047,
+        346.60473800644047,
+        346.60473800644047,
+        329.2842299307517,
+        329.2842299307517,
+        329.2842299307517,
+        313.96334106837213,
+        313.96334106837213,
+        313.96334106837213,
+        296.64283299268334,
+        296.64283299268334,
+        296.64283299268334,
+        281.3219441303038,
+        281.3219441303038,
+        281.3219441303038,
+        268.466191936573,
+        268.466191936573,
+        268.466191936573,
+        253.14530307419346,
+        253.14530307419346,
+        253.14530307419346,
+        240.28955088046268,
+        240.28955088046268,
+        240.28955088046268,
+        230.28955088046268,
+        230.28955088046268,
+        230.28955088046268,
+        217.4337986867319,
+        217.4337986867319,
+        217.4337986867319,
+        207.4337986867319,
+        207.4337986867319,
+        207.4337986867319,
+        200.59339582021852,
+        200.59339582021852,
+        200.59339582021852,
+        190.59339582021852,
+        190.59339582021852,
+        190.59339582021852,
+        183.75299295370513,
+        183.75299295370513,
+        183.75299295370513,
+        180.28002940036652,
+        180.28002940036652,
+        180.28002940036652,
+        173.43962653385313,
+        173.43962653385313,
+        173.43962653385313,
+        169.9666629805145,
+        169.9666629805145,
+        169.9666629805145,
+        169.9666629805145,
+        169.9666629805145,
+        169.9666629805145,
+        166.4936994271759,
+        166.4936994271759,
+        166.4936994271759,
+        166.4936994271759,
+        166.4936994271759,
+        166.4936994271759,
+        169.96666298051449,
+        169.96666298051449,
+        169.96666298051449,
+        169.96666298051449,
+        169.96666298051449,
+        169.96666298051449,
+        173.43962653385307,
+        173.43962653385307,
+        173.43962653385307,
+        180.28002940036646,
+        180.28002940036646,
+        180.28002940036646,
+        183.75299295370505,
+        183.75299295370505,
+        183.75299295370505,
+        190.59339582021843,
+        190.59339582021843,
+        190.59339582021843,
+        200.59339582021843,
+        200.59339582021843,
+        200.59339582021843,
+        213.4491480139492,
+        213.4491480139492,
+        213.4491480139492,
+        223.4491480139492,
+        223.4491480139492,
+        223.4491480139492,
+        236.30490020768,
+        236.30490020768,
+        236.30490020768,
+        246.30490020768,
+        246.30490020768,
+        246.30490020768,
+        259.1606524014108,
+        259.1606524014108,
+        259.1606524014108,
+        274.48154126379035,
+        274.48154126379035,
+        274.48154126379035,
+        287.3372934575211,
+        287.3372934575211,
+        287.3372934575211,
+        302.6581823199007,
+        302.6581823199007,
+        302.6581823199007,
+        319.97869039558947,
+        319.97869039558947,
+        319.97869039558947,
+        335.299579257969,
+        335.299579257969,
+        335.299579257969,
+        352.6200873336578,
+        352.6200873336578,
+        352.6200873336578,
+        371.41393974937597,
+        371.41393974937597,
+        371.41393974937597,
+        388.73444782506476,
+        388.73444782506476,
+        388.73444782506476,
+        407.5283002407829,
+        407.5283002407829,
+        407.5283002407829,
+        427.2244553010271,
+        427.2244553010271,
+        427.2244553010271,
+        446.01830771674526,
+        446.01830771674526,
+        446.01830771674526,
+        465.7144627769894,
+        465.7144627769894,
+        465.7144627769894,
+        485.7144627769894,
+        485.7144627769894,
+        485.7144627769894,
+        505.4106178372336,
+        505.4106178372336,
+        505.4106178372336,
+        525.4106178372335,
+        525.4106178372335,
+        525.4106178372335,
+        545.1067728974776,
+        545.1067728974776,
+        545.1067728974776,
+        565.1067728974776,
+        565.1067728974776,
+        565.1067728974776,
+        584.8029279577217,
+        584.8029279577217,
+        584.8029279577217,
+        603.59678037344,
+        603.59678037344,
+        603.59678037344,
+        623.2929354336841,
+        623.2929354336841,
+        623.2929354336841,
+        642.0867878494023,
+        642.0867878494023,
+        642.0867878494023,
+        659.407295925091,
+        659.407295925091,
+        659.407295925091,
+        674.7281847874706,
+        674.7281847874706,
+        674.7281847874706,
+        692.0486928631593,
+        692.0486928631593,
+        692.0486928631593,
+        707.3695817255389,
+        707.3695817255389,
+        707.3695817255389,
+        724.6900898012276,
+        724.6900898012276,
+        724.6900898012276,
+        740.0109786636071,
+        740.0109786636071,
+        740.0109786636071,
+        752.8667308573379,
+        752.8667308573379,
+        752.8667308573379,
+        768.1876197197174,
+        768.1876197197174,
+        768.1876197197174,
+        781.0433719134483,
+        781.0433719134483,
+        781.0433719134483,
+        791.0433719134483,
+        791.0433719134483,
+        791.0433719134483
+    ],
+    "angle": [
+        -10,
+        -10,
+        -10,
+        0,
+        0,
+        0,
+        10,
+        10,
+        10,
+        20,
+        20,
+        20,
+        30,
+        30,
+        30,
+        40,
+        40,
+        40,
+        50,
+        50,
+        50,
+        40,
+        40,
+        40,
+        30,
+        30,
+        30,
+        40,
+        40,
+        40,
+        30,
+        30,
+        30,
+        40,
+        40,
+        40,
+        50,
+        50,
+        50,
+        40,
+        40,
+        40,
+        50,
+        50,
+        50,
+        60,
+        60,
+        60,
+        50,
+        50,
+        50,
+        60,
+        60,
+        60,
+        70,
+        70,
+        70,
+        60,
+        60,
+        60,
+        70,
+        70,
+        70,
+        60,
+        60,
+        60,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        90,
+        90,
+        90,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        90,
+        90,
+        90,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        60,
+        60,
+        60,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        60,
+        60,
+        60,
+        50,
+        50,
+        50,
+        40,
+        40,
+        40,
+        50,
+        50,
+        50,
+        40,
+        40,
+        40,
+        50,
+        50,
+        50,
+        40,
+        40,
+        40,
+        30,
+        30,
+        30,
+        20,
+        20,
+        20,
+        30,
+        30,
+        30,
+        20,
+        20,
+        20,
+        30,
+        30,
+        30,
+        20,
+        20,
+        20,
+        10,
+        10,
+        10,
+        0,
+        0,
+        0,
+        10,
+        10,
+        10,
+        0,
+        0,
+        0,
+        10,
+        10,
+        10,
+        0,
+        0,
+        0,
+        -10,
+        -10,
+        -10,
+        -20,
+        -20,
+        -20,
+        -10,
+        -10,
+        -10,
+        -20,
+        -20,
+        -20,
+        -10,
+        -10,
+        -10,
+        -20,
+        -20,
+        -20,
+        -30,
+        -30,
+        -30,
+        -40,
+        -40,
+        -40,
+        -30,
+        -30,
+        -30,
+        -40,
+        -40,
+        -40,
+        -30,
+        -30,
+        -30,
+        -40,
+        -40,
+        -40,
+        -50,
+        -50,
+        -50,
+        -60,
+        -60,
+        -60,
+        -50,
+        -50,
+        -50,
+        -60,
+        -60,
+        -60,
+        -50,
+        -50,
+        -50,
+        -60,
+        -60,
+        -60,
+        -70,
+        -70,
+        -70,
+        -80,
+        -80,
+        -80,
+        -70,
+        -70,
+        -70,
+        -80,
+        -80,
+        -80,
+        -70,
+        -70,
+        -70,
+        -80,
+        -80,
+        -80,
+        -90,
+        -90,
+        -90,
+        -100,
+        -100,
+        -100,
+        -90,
+        -90,
+        -90,
+        -100,
+        -100,
+        -100,
+        -90,
+        -90,
+        -90,
+        -100,
+        -100,
+        -100,
+        -110,
+        -110,
+        -110,
+        -120,
+        -120,
+        -120,
+        -110,
+        -110,
+        -110,
+        -120,
+        -120,
+        -120,
+        -110,
+        -110,
+        -110,
+        -120,
+        -120,
+        -120,
+        -130,
+        -130,
+        -130,
+        -140,
+        -140,
+        -140,
+        -130,
+        -130,
+        -130,
+        -140,
+        -140,
+        -140,
+        -130,
+        -130,
+        -130,
+        -140,
+        -140,
+        -140,
+        -150,
+        -150,
+        -150,
+        -160,
+        -160,
+        -160,
+        -150,
+        -150,
+        -150,
+        -160,
+        -160,
+        -160,
+        -150,
+        -150,
+        -150,
+        -160,
+        -160,
+        -160,
+        -170,
+        -170,
+        -170,
+        -180,
+        -180,
+        -180,
+        -170,
+        -170,
+        -170,
+        -180,
+        -180,
+        -180,
+        -170,
+        -170,
+        -170,
+        -180,
+        -180,
+        -180,
+        -190,
+        -190,
+        -190,
+        -200,
+        -200,
+        -200,
+        -190,
+        -190,
+        -190,
+        -200,
+        -200,
+        -200,
+        -190,
+        -190,
+        -190,
+        -200,
+        -200,
+        -200,
+        -210,
+        -210,
+        -210,
+        -220,
+        -220,
+        -220,
+        -210,
+        -210,
+        -210,
+        -220,
+        -220,
+        -220,
+        -210,
+        -210,
+        -210,
+        -220,
+        -220,
+        -220,
+        -230,
+        -230,
+        -230,
+        -240,
+        -240,
+        -240,
+        -230,
+        -230,
+        -230,
+        -240,
+        -240,
+        -240,
+        -250,
+        -250,
+        -250,
+        -240,
+        -240,
+        -240,
+        -250,
+        -250,
+        -250,
+        -240,
+        -240,
+        -240,
+        -250,
+        -250,
+        -250,
+        -260,
+        -260,
+        -260,
+        -250,
+        -250,
+        -250,
+        -260,
+        -260,
+        -260,
+        -270,
+        -270,
+        -270,
+        -260,
+        -260,
+        -260,
+        -270,
+        -270,
+        -270,
+        -260,
+        -260,
+        -260,
+        -250,
+        -250,
+        -250,
+        -260,
+        -260,
+        -260,
+        -270,
+        -270,
+        -270,
+        -260,
+        -260,
+        -260,
+        -250,
+        -250,
+        -250,
+        -240,
+        -240,
+        -240,
+        -230,
+        -230,
+        -230,
+        -240,
+        -240,
+        -240,
+        -230,
+        -230,
+        -230,
+        -220,
+        -220,
+        -220,
+        -230,
+        -230,
+        -230,
+        -240,
+        -240,
+        -240,
+        -230,
+        -230,
+        -230,
+        -220,
+        -220,
+        -220,
+        -210,
+        -210,
+        -210,
+        -200,
+        -200,
+        -200,
+        -210,
+        -210,
+        -210,
+        -200,
+        -200,
+        -200,
+        -210,
+        -210,
+        -210,
+        -200,
+        -200,
+        -200,
+        -190,
+        -190,
+        -190,
+        -200,
+        -200,
+        -200,
+        -190,
+        -190,
+        -190,
+        -180,
+        -180,
+        -180,
+        -190,
+        -190,
+        -190,
+        -180,
+        -180,
+        -180,
+        -170,
+        -170,
+        -170,
+        -180,
+        -180,
+        -180,
+        -170,
+        -170,
+        -170,
+        -180,
+        -180,
+        -180,
+        -170,
+        -170,
+        -170,
+        -160,
+        -160,
+        -160,
+        -150,
+        -150,
+        -150,
+        -160,
+        -160,
+        -160,
+        -150,
+        -150,
+        -150,
+        -140,
+        -140,
+        -140,
+        -150,
+        -150,
+        -150,
+        -140,
+        -140,
+        -140,
+        -130,
+        -130,
+        -130,
+        -140,
+        -140,
+        -140,
+        -130,
+        -130,
+        -130,
+        -120,
+        -120,
+        -120,
+        -130,
+        -130,
+        -130,
+        -140,
+        -140,
+        -140,
+        -130,
+        -130,
+        -130,
+        -120,
+        -120,
+        -120,
+        -110,
+        -110,
+        -110,
+        -100,
+        -100,
+        -100,
+        -110,
+        -110,
+        -110,
+        -100,
+        -100,
+        -100,
+        -90,
+        -90,
+        -90,
+        -100,
+        -100,
+        -100,
+        -90,
+        -90,
+        -90,
+        -80,
+        -80,
+        -80,
+        -90,
+        -90,
+        -90,
+        -100,
+        -100,
+        -100,
+        -90,
+        -90,
+        -90,
+        -80,
+        -80,
+        -80,
+        -70,
+        -70,
+        -70,
+        -60,
+        -60,
+        -60,
+        -70,
+        -70,
+        -70,
+        -60,
+        -60,
+        -60,
+        -70,
+        -70,
+        -70,
+        -60,
+        -60,
+        -60,
+        -50,
+        -50,
+        -50,
+        -60,
+        -60,
+        -60,
+        -50,
+        -50,
+        -50,
+        -40,
+        -40,
+        -40,
+        -50,
+        -50,
+        -50,
+        -40,
+        -40,
+        -40,
+        -30,
+        -30,
+        -30,
+        -40,
+        -40,
+        -40,
+        -30,
+        -30,
+        -30,
+        -20,
+        -20,
+        -20,
+        -30,
+        -30,
+        -30,
+        -20,
+        -20,
+        -20,
+        -10,
+        -10,
+        -10,
+        -20,
+        -20,
+        -20,
+        -10,
+        -10,
+        -10,
+        0,
+        0,
+        0,
+        -10,
+        -10,
+        -10,
+        0,
+        0,
+        0,
+        10,
+        10,
+        10,
+        0,
+        0,
+        0,
+        10,
+        10,
+        10,
+        20,
+        20,
+        20,
+        10,
+        10,
+        10,
+        20,
+        20,
+        20,
+        10,
+        10,
+        10,
+        20,
+        20,
+        20,
+        30,
+        30,
+        30,
+        40,
+        40,
+        40,
+        30,
+        30,
+        30,
+        40,
+        40,
+        40,
+        50,
+        50,
+        50,
+        40,
+        40,
+        40,
+        30,
+        30,
+        30,
+        40,
+        40,
+        40,
+        50,
+        50,
+        50,
+        60,
+        60,
+        60,
+        70,
+        70,
+        70,
+        60,
+        60,
+        60,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        90,
+        90,
+        90,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        60,
+        60,
+        60,
+        50,
+        50,
+        50,
+        60,
+        60,
+        60,
+        50,
+        50,
+        50,
+        40,
+        40,
+        40,
+        30,
+        30,
+        30,
+        40,
+        40,
+        40,
+        30,
+        30,
+        30,
+        40,
+        40,
+        40,
+        30,
+        30,
+        30,
+        20,
+        20,
+        20,
+        30,
+        30,
+        30,
+        20,
+        20,
+        20,
+        10,
+        10,
+        10,
+        0,
+        0,
+        0,
+        10,
+        10,
+        10,
+        0,
+        0,
+        0,
+        10,
+        10,
+        10,
+        0,
+        0,
+        0,
+        -10,
+        -10,
+        -10,
+        0,
+        0,
+        0,
+        -10,
+        -10,
+        -10,
+        -20,
+        -20,
+        -20,
+        -30,
+        -30,
+        -30,
+        -20,
+        -20,
+        -20,
+        -30,
+        -30,
+        -30,
+        -20,
+        -20,
+        -20,
+        -30,
+        -30,
+        -30,
+        -40,
+        -40,
+        -40,
+        -30,
+        -30,
+        -30,
+        -40,
+        -40,
+        -40,
+        -50,
+        -50,
+        -50,
+        -60,
+        -60,
+        -60,
+        -50,
+        -50,
+        -50,
+        -60,
+        -60,
+        -60,
+        -50,
+        -50,
+        -50,
+        -60,
+        -60,
+        -60,
+        -70,
+        -70,
+        -70,
+        -60,
+        -60,
+        -60,
+        -70,
+        -70,
+        -70,
+        -80,
+        -80,
+        -80,
+        -90,
+        -90,
+        -90,
+        -80,
+        -80,
+        -80,
+        -90,
+        -90,
+        -90,
+        -80,
+        -80,
+        -80,
+        -90,
+        -90,
+        -90,
+        -100,
+        -100,
+        -100,
+        -90,
+        -90,
+        -90,
+        -100,
+        -100,
+        -100,
+        -110,
+        -110,
+        -110,
+        -120,
+        -120,
+        -120,
+        -110,
+        -110,
+        -110,
+        -120,
+        -120,
+        -120,
+        -110,
+        -110,
+        -110,
+        -120,
+        -120,
+        -120,
+        -130,
+        -130,
+        -130,
+        -120,
+        -120,
+        -120,
+        -130,
+        -130,
+        -130,
+        -140,
+        -140,
+        -140,
+        -150,
+        -150,
+        -150,
+        -140,
+        -140,
+        -140,
+        -150,
+        -150,
+        -150,
+        -140,
+        -140,
+        -140,
+        -150,
+        -150,
+        -150,
+        -160,
+        -160,
+        -160,
+        -150,
+        -150,
+        -150,
+        -160,
+        -160,
+        -160,
+        -170,
+        -170,
+        -170,
+        -180,
+        -180,
+        -180,
+        -170,
+        -170,
+        -170,
+        -180,
+        -180,
+        -180,
+        -170,
+        -170,
+        -170,
+        -180,
+        -180,
+        -180,
+        -190,
+        -190,
+        -190,
+        -180,
+        -180,
+        -180,
+        -190,
+        -190,
+        -190,
+        -200,
+        -200,
+        -200,
+        -210,
+        -210,
+        -210,
+        -200,
+        -200,
+        -200,
+        -210,
+        -210,
+        -210,
+        -200,
+        -200,
+        -200,
+        -210,
+        -210,
+        -210,
+        -220,
+        -220,
+        -220,
+        -210,
+        -210,
+        -210,
+        -220,
+        -220,
+        -220,
+        -230,
+        -230,
+        -230,
+        -240,
+        -240,
+        -240,
+        -230,
+        -230,
+        -230,
+        -240,
+        -240,
+        -240,
+        -250,
+        -250,
+        -250,
+        -240,
+        -240,
+        -240,
+        -250,
+        -250,
+        -250,
+        -240,
+        -240,
+        -240,
+        -250,
+        -250,
+        -250,
+        -260,
+        -260,
+        -260,
+        -250,
+        -250,
+        -250,
+        -260,
+        -260,
+        -260,
+        -270,
+        -270,
+        -270,
+        -260,
+        -260,
+        -260,
+        -270,
+        -270,
+        -270,
+        -260,
+        -260,
+        -260,
+        -250,
+        -250,
+        -250,
+        -260,
+        -260,
+        -260,
+        -250,
+        -250,
+        -250,
+        -260,
+        -260,
+        -260,
+        -250,
+        -250,
+        -250,
+        -240,
+        -240,
+        -240,
+        -250,
+        -250,
+        -250,
+        -240,
+        -240,
+        -240,
+        -230,
+        -230,
+        -230,
+        -220,
+        -220,
+        -220,
+        -230,
+        -230,
+        -230,
+        -240,
+        -240,
+        -240,
+        -230,
+        -230,
+        -230,
+        -220,
+        -220,
+        -220,
+        -210,
+        -210,
+        -210,
+        -220,
+        -220,
+        -220,
+        -210,
+        -210,
+        -210,
+        -200,
+        -200,
+        -200,
+        -190,
+        -190,
+        -190,
+        -200,
+        -200,
+        -200,
+        -210,
+        -210,
+        -210,
+        -200,
+        -200,
+        -200,
+        -190,
+        -190,
+        -190,
+        -180,
+        -180,
+        -180,
+        -190,
+        -190,
+        -190,
+        -180,
+        -180,
+        -180,
+        -170,
+        -170,
+        -170,
+        -180,
+        -180,
+        -180,
+        -170,
+        -170,
+        -170,
+        -160,
+        -160,
+        -160,
+        -170,
+        -170,
+        -170,
+        -160,
+        -160,
+        -160,
+        -150,
+        -150,
+        -150,
+        -160,
+        -160,
+        -160,
+        -170,
+        -170,
+        -170,
+        -160,
+        -160,
+        -160,
+        -150,
+        -150,
+        -150,
+        -140,
+        -140,
+        -140,
+        -130,
+        -130,
+        -130,
+        -140,
+        -140,
+        -140,
+        -130,
+        -130,
+        -130,
+        -120,
+        -120,
+        -120,
+        -130,
+        -130,
+        -130,
+        -120,
+        -120,
+        -120,
+        -110,
+        -110,
+        -110,
+        -120,
+        -120,
+        -120,
+        -130,
+        -130,
+        -130,
+        -120,
+        -120,
+        -120,
+        -110,
+        -110,
+        -110,
+        -100,
+        -100,
+        -100,
+        -90,
+        -90,
+        -90,
+        -100,
+        -100,
+        -100,
+        -90,
+        -90,
+        -90,
+        -100,
+        -100,
+        -100,
+        -90,
+        -90,
+        -90,
+        -80,
+        -80,
+        -80,
+        -70,
+        -70,
+        -70,
+        -80,
+        -80,
+        -80,
+        -90,
+        -90,
+        -90,
+        -80,
+        -80,
+        -80,
+        -70,
+        -70,
+        -70,
+        -60,
+        -60,
+        -60,
+        -50,
+        -50,
+        -50,
+        -60,
+        -60,
+        -60,
+        -50,
+        -50,
+        -50,
+        -60,
+        -60,
+        -60,
+        -50,
+        -50,
+        -50,
+        -60,
+        -60,
+        -60,
+        -50,
+        -50,
+        -50,
+        -40,
+        -40,
+        -40,
+        -30,
+        -30,
+        -30,
+        -40,
+        -40,
+        -40,
+        -30,
+        -30,
+        -30,
+        -20,
+        -20,
+        -20,
+        -30,
+        -30,
+        -30,
+        -20,
+        -20,
+        -20,
+        -10,
+        -10,
+        -10,
+        -20,
+        -20,
+        -20,
+        -10,
+        -10,
+        -10,
+        0,
+        0,
+        0,
+        -10,
+        -10,
+        -10,
+        0,
+        0,
+        0,
+        10,
+        10,
+        10,
+        0,
+        0,
+        0,
+        -10,
+        -10,
+        -10,
+        0,
+        0,
+        0,
+        10,
+        10,
+        10,
+        20,
+        20,
+        20,
+        30,
+        30,
+        30,
+        20,
+        20,
+        20,
+        30,
+        30,
+        30,
+        40,
+        40,
+        40,
+        30,
+        30,
+        30,
+        40,
+        40,
+        40,
+        30,
+        30,
+        30,
+        40,
+        40,
+        40,
+        50,
+        50,
+        50,
+        60,
+        60,
+        60,
+        50,
+        50,
+        50,
+        40,
+        40,
+        40,
+        50,
+        50,
+        50,
+        60,
+        60,
+        60,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        90,
+        90,
+        90,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        60,
+        60,
+        60,
+        50,
+        50,
+        50,
+        60,
+        60,
+        60,
+        50,
+        50,
+        50,
+        40,
+        40,
+        40,
+        50,
+        50,
+        50,
+        40,
+        40,
+        40,
+        30,
+        30,
+        30,
+        40,
+        40,
+        40,
+        30,
+        30,
+        30,
+        20,
+        20,
+        20,
+        30,
+        30,
+        30,
+        20,
+        20,
+        20,
+        10,
+        10,
+        10,
+        20,
+        20,
+        20,
+        10,
+        10,
+        10,
+        0,
+        0,
+        0,
+        10,
+        10,
+        10,
+        0,
+        0,
+        0,
+        -10,
+        -10,
+        -10,
+        -20,
+        -20,
+        -20,
+        -10,
+        -10,
+        -10,
+        -20,
+        -20,
+        -20,
+        -10,
+        -10,
+        -10,
+        -20,
+        -20,
+        -20,
+        -30,
+        -30,
+        -30,
+        -20,
+        -20,
+        -20,
+        -30,
+        -30,
+        -30,
+        -40,
+        -40,
+        -40,
+        -30,
+        -30,
+        -30,
+        -40,
+        -40,
+        -40,
+        -50,
+        -50,
+        -50,
+        -40,
+        -40,
+        -40,
+        -50,
+        -50,
+        -50,
+        -60,
+        -60,
+        -60,
+        -70,
+        -70,
+        -70,
+        -60,
+        -60,
+        -60,
+        -70,
+        -70,
+        -70,
+        -60,
+        -60,
+        -60,
+        -70,
+        -70,
+        -70,
+        -80,
+        -80,
+        -80,
+        -70,
+        -70,
+        -70,
+        -80,
+        -80,
+        -80,
+        -90,
+        -90,
+        -90,
+        -80,
+        -80,
+        -80,
+        -90,
+        -90,
+        -90,
+        -100,
+        -100,
+        -100,
+        -90,
+        -90,
+        -90,
+        -100,
+        -100,
+        -100,
+        -110,
+        -110,
+        -110,
+        -100,
+        -100,
+        -100,
+        -110,
+        -110,
+        -110,
+        -120,
+        -120,
+        -120,
+        -130,
+        -130,
+        -130,
+        -120,
+        -120,
+        -120,
+        -130,
+        -130,
+        -130,
+        -120,
+        -120,
+        -120,
+        -130,
+        -130,
+        -130,
+        -140,
+        -140,
+        -140,
+        -130,
+        -130,
+        -130,
+        -140,
+        -140,
+        -140,
+        -150,
+        -150,
+        -150,
+        -140,
+        -140,
+        -140,
+        -150,
+        -150,
+        -150,
+        -160,
+        -160,
+        -160,
+        -150,
+        -150,
+        -150,
+        -160,
+        -160,
+        -160,
+        -170,
+        -170,
+        -170,
+        -180,
+        -180,
+        -180,
+        -170,
+        -170,
+        -170,
+        -180,
+        -180,
+        -180,
+        -170,
+        -170,
+        -170,
+        -180,
+        -180,
+        -180,
+        -190,
+        -190,
+        -190,
+        -180,
+        -180,
+        -180,
+        -190,
+        -190,
+        -190,
+        -200,
+        -200,
+        -200,
+        -190,
+        -190,
+        -190,
+        -200,
+        -200,
+        -200,
+        -210,
+        -210,
+        -210,
+        -200,
+        -200,
+        -200,
+        -210,
+        -210,
+        -210,
+        -220,
+        -220,
+        -220,
+        -210,
+        -210,
+        -210,
+        -220,
+        -220,
+        -220,
+        -230,
+        -230,
+        -230,
+        -240,
+        -240,
+        -240,
+        -230,
+        -230,
+        -230,
+        -240,
+        -240,
+        -240,
+        -230,
+        -230,
+        -230,
+        -240,
+        -240,
+        -240,
+        -250,
+        -250,
+        -250,
+        -260,
+        -260,
+        -260,
+        -250,
+        -250,
+        -250,
+        -240,
+        -240,
+        -240,
+        -250,
+        -250,
+        -250,
+        -260,
+        -260,
+        -260,
+        -270,
+        -270,
+        -270,
+        -260,
+        -260,
+        -260,
+        -270,
+        -270,
+        -270,
+        -260,
+        -260,
+        -260,
+        -270,
+        -270,
+        -270,
+        -260,
+        -260,
+        -260,
+        -250,
+        -250,
+        -250,
+        -260,
+        -260,
+        -260,
+        -250,
+        -250,
+        -250,
+        -240,
+        -240,
+        -240,
+        -250,
+        -250,
+        -250,
+        -240,
+        -240,
+        -240,
+        -230,
+        -230,
+        -230,
+        -240,
+        -240,
+        -240,
+        -230,
+        -230,
+        -230,
+        -220,
+        -220,
+        -220,
+        -230,
+        -230,
+        -230,
+        -220,
+        -220,
+        -220,
+        -210,
+        -210,
+        -210,
+        -220,
+        -220,
+        -220,
+        -210,
+        -210,
+        -210,
+        -200,
+        -200,
+        -200,
+        -210,
+        -210,
+        -210,
+        -200,
+        -200,
+        -200,
+        -190,
+        -190,
+        -190,
+        -200,
+        -200,
+        -200,
+        -190,
+        -190,
+        -190,
+        -200,
+        -200,
+        -200,
+        -190,
+        -190,
+        -190,
+        -180,
+        -180,
+        -180,
+        -170,
+        -170,
+        -170,
+        -180,
+        -180,
+        -180,
+        -170,
+        -170,
+        -170,
+        -160,
+        -160,
+        -160,
+        -170,
+        -170,
+        -170,
+        -180,
+        -180,
+        -180,
+        -170,
+        -170,
+        -170,
+        -160,
+        -160,
+        -160,
+        -150,
+        -150,
+        -150,
+        -140,
+        -140,
+        -140,
+        -150,
+        -150,
+        -150,
+        -140,
+        -140,
+        -140,
+        -130,
+        -130,
+        -130,
+        -140,
+        -140,
+        -140,
+        -130,
+        -130,
+        -130,
+        -120,
+        -120,
+        -120,
+        -130,
+        -130,
+        -130,
+        -140,
+        -140,
+        -140,
+        -130,
+        -130,
+        -130,
+        -120,
+        -120,
+        -120,
+        -110,
+        -110,
+        -110,
+        -100,
+        -100,
+        -100,
+        -110,
+        -110,
+        -110,
+        -100,
+        -100,
+        -100,
+        -110,
+        -110,
+        -110,
+        -100,
+        -100,
+        -100,
+        -90,
+        -90,
+        -90,
+        -100,
+        -100,
+        -100,
+        -90,
+        -90,
+        -90,
+        -80,
+        -80,
+        -80,
+        -90,
+        -90,
+        -90,
+        -80,
+        -80,
+        -80,
+        -70,
+        -70,
+        -70,
+        -80,
+        -80,
+        -80,
+        -70,
+        -70,
+        -70,
+        -60,
+        -60,
+        -60,
+        -70,
+        -70,
+        -70,
+        -60,
+        -60,
+        -60,
+        -50,
+        -50,
+        -50,
+        -60,
+        -60,
+        -60,
+        -50,
+        -50,
+        -50,
+        -40,
+        -40,
+        -40,
+        -50,
+        -50,
+        -50,
+        -40,
+        -40,
+        -40,
+        -30,
+        -30,
+        -30,
+        -40,
+        -40,
+        -40,
+        -30,
+        -30,
+        -30,
+        -40,
+        -40,
+        -40,
+        -30,
+        -30,
+        -30,
+        -20,
+        -20,
+        -20,
+        -10,
+        -10,
+        -10,
+        -20,
+        -20,
+        -20,
+        -10,
+        -10,
+        -10,
+        0,
+        0,
+        0,
+        -10,
+        -10,
+        -10,
+        0,
+        0,
+        0,
+        10,
+        10,
+        10,
+        0,
+        0,
+        0,
+        -10,
+        -10,
+        -10,
+        0,
+        0,
+        0,
+        10,
+        10,
+        10,
+        20,
+        20,
+        20,
+        30,
+        30,
+        30,
+        20,
+        20,
+        20,
+        30,
+        30,
+        30,
+        40,
+        40,
+        40,
+        30,
+        30,
+        30,
+        40,
+        40,
+        40,
+        30,
+        30,
+        30,
+        40,
+        40,
+        40,
+        50,
+        50,
+        50,
+        60,
+        60,
+        60,
+        50,
+        50,
+        50,
+        40,
+        40,
+        40,
+        50,
+        50,
+        50,
+        60,
+        60,
+        60,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        90,
+        90,
+        90,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        60,
+        60,
+        60,
+        50,
+        50,
+        50,
+        60,
+        60,
+        60,
+        50,
+        50,
+        50,
+        40,
+        40,
+        40,
+        50,
+        50,
+        50,
+        40,
+        40,
+        40,
+        30,
+        30,
+        30,
+        40,
+        40,
+        40,
+        30,
+        30,
+        30,
+        20,
+        20,
+        20,
+        30,
+        30,
+        30,
+        20,
+        20,
+        20,
+        10,
+        10,
+        10,
+        20,
+        20,
+        20,
+        10,
+        10,
+        10,
+        0,
+        0,
+        0,
+        10,
+        10,
+        10,
+        0,
+        0,
+        0,
+        -10,
+        -10,
+        -10,
+        0,
+        0,
+        0,
+        -10,
+        -10,
+        -10,
+        -20,
+        -20,
+        -20,
+        -30,
+        -30,
+        -30,
+        -20,
+        -20,
+        -20,
+        -30,
+        -30,
+        -30,
+        -20,
+        -20,
+        -20,
+        -30,
+        -30,
+        -30,
+        -40,
+        -40,
+        -40,
+        -30,
+        -30,
+        -30,
+        -40,
+        -40,
+        -40,
+        -50,
+        -50,
+        -50,
+        -40,
+        -40,
+        -40,
+        -50,
+        -50,
+        -50,
+        -60,
+        -60,
+        -60,
+        -50,
+        -50,
+        -50,
+        -60,
+        -60,
+        -60,
+        -70,
+        -70,
+        -70,
+        -60,
+        -60,
+        -60,
+        -70,
+        -70,
+        -70,
+        -80,
+        -80,
+        -80,
+        -70,
+        -70,
+        -70,
+        -80,
+        -80,
+        -80,
+        -90,
+        -90,
+        -90,
+        -80,
+        -80,
+        -80,
+        -90,
+        -90,
+        -90,
+        -100,
+        -100,
+        -100,
+        -90,
+        -90,
+        -90,
+        -100,
+        -100,
+        -100,
+        -110,
+        -110,
+        -110,
+        -120,
+        -120,
+        -120,
+        -110,
+        -110,
+        -110,
+        -120,
+        -120,
+        -120,
+        -110,
+        -110,
+        -110,
+        -120,
+        -120,
+        -120,
+        -130,
+        -130,
+        -130,
+        -120,
+        -120,
+        -120,
+        -130,
+        -130,
+        -130,
+        -140,
+        -140,
+        -140,
+        -130,
+        -130,
+        -130,
+        -140,
+        -140,
+        -140,
+        -150,
+        -150,
+        -150,
+        -140,
+        -140,
+        -140,
+        -150,
+        -150,
+        -150,
+        -160,
+        -160,
+        -160,
+        -150,
+        -150,
+        -150,
+        -160,
+        -160,
+        -160,
+        -170,
+        -170,
+        -170,
+        -160,
+        -160,
+        -160,
+        -170,
+        -170,
+        -170,
+        -180,
+        -180,
+        -180,
+        -170,
+        -170,
+        -170,
+        -180,
+        -180,
+        -180,
+        -190,
+        -190,
+        -190,
+        -180,
+        -180,
+        -180,
+        -190,
+        -190,
+        -190,
+        -200,
+        -200,
+        -200,
+        -190,
+        -190,
+        -190,
+        -200,
+        -200,
+        -200,
+        -210,
+        -210,
+        -210,
+        -220,
+        -220,
+        -220,
+        -210,
+        -210,
+        -210,
+        -220,
+        -220,
+        -220,
+        -210,
+        -210,
+        -210,
+        -220,
+        -220,
+        -220,
+        -230,
+        -230,
+        -230,
+        -220,
+        -220,
+        -220,
+        -230,
+        -230,
+        -230,
+        -240,
+        -240,
+        -240,
+        -230,
+        -230,
+        -230,
+        -240,
+        -240,
+        -240,
+        -250,
+        -250,
+        -250,
+        -240,
+        -240,
+        -240,
+        -250,
+        -250,
+        -250,
+        -260,
+        -260,
+        -260,
+        -250,
+        -250,
+        -250,
+        -260,
+        -260,
+        -260,
+        -270,
+        -270,
+        -270,
+        -260,
+        -260,
+        -260,
+        -270,
+        -270,
+        -270,
+        -260,
+        -260,
+        -260,
+        -270,
+        -270,
+        -270,
+        -260,
+        -260,
+        -260,
+        -250,
+        -250,
+        -250,
+        -260,
+        -260,
+        -260,
+        -250,
+        -250,
+        -250,
+        -240,
+        -240,
+        -240,
+        -250,
+        -250,
+        -250,
+        -240,
+        -240,
+        -240,
+        -230,
+        -230,
+        -230,
+        -240,
+        -240,
+        -240,
+        -230,
+        -230,
+        -230,
+        -220,
+        -220,
+        -220,
+        -230,
+        -230,
+        -230,
+        -220,
+        -220,
+        -220,
+        -210,
+        -210,
+        -210,
+        -220,
+        -220,
+        -220,
+        -210,
+        -210,
+        -210,
+        -200,
+        -200,
+        -200,
+        -210,
+        -210,
+        -210,
+        -200,
+        -200,
+        -200,
+        -210,
+        -210,
+        -210,
+        -200,
+        -200,
+        -200,
+        -190,
+        -190,
+        -190,
+        -180,
+        -180,
+        -180,
+        -190,
+        -190,
+        -190,
+        -180,
+        -180,
+        -180,
+        -170,
+        -170,
+        -170,
+        -180,
+        -180,
+        -180,
+        -190,
+        -190,
+        -190,
+        -180,
+        -180,
+        -180,
+        -170,
+        -170,
+        -170,
+        -160,
+        -160,
+        -160,
+        -150,
+        -150,
+        -150,
+        -160,
+        -160,
+        -160,
+        -150,
+        -150,
+        -150,
+        -140,
+        -140,
+        -140,
+        -150,
+        -150,
+        -150,
+        -140,
+        -140,
+        -140,
+        -150,
+        -150,
+        -150,
+        -140,
+        -140,
+        -140,
+        -130,
+        -130,
+        -130,
+        -120,
+        -120,
+        -120,
+        -130,
+        -130,
+        -130,
+        -140,
+        -140,
+        -140,
+        -130,
+        -130,
+        -130,
+        -120,
+        -120,
+        -120,
+        -110,
+        -110,
+        -110,
+        -100,
+        -100,
+        -100,
+        -110,
+        -110,
+        -110,
+        -100,
+        -100,
+        -100,
+        -110,
+        -110,
+        -110,
+        -100,
+        -100,
+        -100,
+        -90,
+        -90,
+        -90,
+        -100,
+        -100,
+        -100,
+        -90,
+        -90,
+        -90,
+        -80,
+        -80,
+        -80,
+        -90,
+        -90,
+        -90,
+        -80,
+        -80,
+        -80,
+        -70,
+        -70,
+        -70,
+        -80,
+        -80,
+        -80,
+        -70,
+        -70,
+        -70,
+        -60,
+        -60,
+        -60,
+        -70,
+        -70,
+        -70,
+        -60,
+        -60,
+        -60,
+        -50,
+        -50,
+        -50,
+        -60,
+        -60,
+        -60,
+        -50,
+        -50,
+        -50,
+        -60,
+        -60,
+        -60,
+        -50,
+        -50,
+        -50,
+        -40,
+        -40,
+        -40,
+        -30,
+        -30,
+        -30,
+        -40,
+        -40,
+        -40,
+        -30,
+        -30,
+        -30,
+        -20,
+        -20,
+        -20,
+        -30,
+        -30,
+        -30,
+        -20,
+        -20,
+        -20,
+        -10,
+        -10,
+        -10,
+        -20,
+        -20,
+        -20,
+        -10,
+        -10,
+        -10,
+        -20,
+        -20,
+        -20,
+        -10,
+        -10,
+        -10,
+        0,
+        0,
+        0,
+        10,
+        10,
+        10,
+        0,
+        0,
+        0,
+        10,
+        10,
+        10,
+        0,
+        0,
+        0,
+        10,
+        10,
+        10,
+        20,
+        20,
+        20,
+        30,
+        30,
+        30,
+        20,
+        20,
+        20,
+        30,
+        30,
+        30,
+        20,
+        20,
+        20,
+        30,
+        30,
+        30,
+        40,
+        40,
+        40,
+        50,
+        50,
+        50,
+        40,
+        40,
+        40,
+        30,
+        30,
+        30,
+        40,
+        40,
+        40,
+        50,
+        50,
+        50,
+        60,
+        60,
+        60,
+        70,
+        70,
+        70,
+        60,
+        60,
+        60,
+        70,
+        70,
+        70,
+        60,
+        60,
+        60,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        90,
+        90,
+        90,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        60,
+        60,
+        60,
+        50,
+        50,
+        50,
+        60,
+        60,
+        60,
+        50,
+        50,
+        50,
+        40,
+        40,
+        40,
+        50,
+        50,
+        50,
+        40,
+        40,
+        40,
+        30,
+        30,
+        30,
+        40,
+        40,
+        40,
+        30,
+        30,
+        30,
+        20,
+        20,
+        20,
+        30,
+        30,
+        30,
+        20,
+        20,
+        20,
+        10,
+        10,
+        10,
+        20,
+        20,
+        20,
+        10,
+        10,
+        10,
+        0,
+        0,
+        0,
+        10,
+        10,
+        10,
+        0,
+        0,
+        0,
+        -10,
+        -10,
+        -10,
+        0,
+        0,
+        0,
+        -10,
+        -10,
+        -10,
+        -20,
+        -20,
+        -20,
+        -30,
+        -30,
+        -30,
+        -20,
+        -20,
+        -20,
+        -30,
+        -30,
+        -30,
+        -20,
+        -20,
+        -20,
+        -30,
+        -30,
+        -30,
+        -40,
+        -40,
+        -40,
+        -30,
+        -30,
+        -30,
+        -40,
+        -40,
+        -40,
+        -50,
+        -50,
+        -50,
+        -40,
+        -40,
+        -40,
+        -50,
+        -50,
+        -50,
+        -60,
+        -60,
+        -60,
+        -50,
+        -50,
+        -50,
+        -60,
+        -60,
+        -60,
+        -70,
+        -70,
+        -70,
+        -60,
+        -60,
+        -60,
+        -70,
+        -70,
+        -70,
+        -80,
+        -80,
+        -80,
+        -70,
+        -70,
+        -70,
+        -80,
+        -80,
+        -80,
+        -90,
+        -90,
+        -90,
+        -80,
+        -80,
+        -80,
+        -90,
+        -90,
+        -90,
+        -100,
+        -100,
+        -100,
+        -110,
+        -110,
+        -110,
+        -100,
+        -100,
+        -100,
+        -110,
+        -110,
+        -110,
+        -100,
+        -100,
+        -100,
+        -110,
+        -110,
+        -110,
+        -120,
+        -120,
+        -120,
+        -110,
+        -110,
+        -110,
+        -120,
+        -120,
+        -120,
+        -130,
+        -130,
+        -130,
+        -120,
+        -120,
+        -120,
+        -130,
+        -130,
+        -130,
+        -140,
+        -140,
+        -140,
+        -130,
+        -130,
+        -130,
+        -140,
+        -140,
+        -140,
+        -150,
+        -150,
+        -150,
+        -140,
+        -140,
+        -140,
+        -150,
+        -150,
+        -150,
+        -160,
+        -160,
+        -160,
+        -150,
+        -150,
+        -150,
+        -160,
+        -160,
+        -160,
+        -170,
+        -170,
+        -170,
+        -160,
+        -160,
+        -160,
+        -170,
+        -170,
+        -170,
+        -180,
+        -180,
+        -180,
+        -190,
+        -190,
+        -190,
+        -180,
+        -180,
+        -180,
+        -190,
+        -190,
+        -190,
+        -180,
+        -180,
+        -180,
+        -190,
+        -190,
+        -190,
+        -200,
+        -200,
+        -200,
+        -190,
+        -190,
+        -190,
+        -200,
+        -200,
+        -200,
+        -210,
+        -210,
+        -210,
+        -200,
+        -200,
+        -200,
+        -210,
+        -210,
+        -210,
+        -220,
+        -220,
+        -220,
+        -210,
+        -210,
+        -210,
+        -220,
+        -220,
+        -220,
+        -230,
+        -230,
+        -230,
+        -220,
+        -220,
+        -220,
+        -230,
+        -230,
+        -230,
+        -240,
+        -240,
+        -240,
+        -250,
+        -250,
+        -250,
+        -240,
+        -240,
+        -240,
+        -250,
+        -250,
+        -250,
+        -240,
+        -240,
+        -240,
+        -250,
+        -250,
+        -250,
+        -260,
+        -260,
+        -260,
+        -250,
+        -250,
+        -250,
+        -260,
+        -260,
+        -260,
+        -270,
+        -270,
+        -270,
+        -260,
+        -260,
+        -260,
+        -270,
+        -270,
+        -270,
+        -260,
+        -260,
+        -260,
+        -250,
+        -250,
+        -250,
+        -260,
+        -260,
+        -260,
+        -250,
+        -250,
+        -250,
+        -260,
+        -260,
+        -260,
+        -250,
+        -250,
+        -250,
+        -240,
+        -240,
+        -240,
+        -250,
+        -250,
+        -250,
+        -240,
+        -240,
+        -240,
+        -230,
+        -230,
+        -230,
+        -240,
+        -240,
+        -240,
+        -230,
+        -230,
+        -230,
+        -220,
+        -220,
+        -220,
+        -230,
+        -230,
+        -230,
+        -220,
+        -220,
+        -220,
+        -210,
+        -210,
+        -210,
+        -220,
+        -220,
+        -220,
+        -210,
+        -210,
+        -210,
+        -200,
+        -200,
+        -200,
+        -210,
+        -210,
+        -210,
+        -200,
+        -200,
+        -200,
+        -210,
+        -210,
+        -210,
+        -200,
+        -200,
+        -200,
+        -190,
+        -190,
+        -190,
+        -180,
+        -180,
+        -180,
+        -190,
+        -190,
+        -190,
+        -180,
+        -180,
+        -180,
+        -170,
+        -170,
+        -170,
+        -180,
+        -180,
+        -180,
+        -170,
+        -170,
+        -170,
+        -180,
+        -180,
+        -180,
+        -170,
+        -170,
+        -170,
+        -160,
+        -160,
+        -160,
+        -150,
+        -150,
+        -150,
+        -160,
+        -160,
+        -160,
+        -150,
+        -150,
+        -150,
+        -140,
+        -140,
+        -140,
+        -150,
+        -150,
+        -150,
+        -160,
+        -160,
+        -160,
+        -150,
+        -150,
+        -150,
+        -140,
+        -140,
+        -140,
+        -130,
+        -130,
+        -130,
+        -120,
+        -120,
+        -120,
+        -130,
+        -130,
+        -130,
+        -120,
+        -120,
+        -120,
+        -110,
+        -110,
+        -110,
+        -120,
+        -120,
+        -120,
+        -130,
+        -130,
+        -130,
+        -120,
+        -120,
+        -120,
+        -110,
+        -110,
+        -110,
+        -100,
+        -100,
+        -100,
+        -90,
+        -90,
+        -90,
+        -100,
+        -100,
+        -100,
+        -90,
+        -90,
+        -90,
+        -100,
+        -100,
+        -100,
+        -90,
+        -90,
+        -90,
+        -80,
+        -80,
+        -80,
+        -90,
+        -90,
+        -90,
+        -80,
+        -80,
+        -80,
+        -70,
+        -70,
+        -70,
+        -80,
+        -80,
+        -80,
+        -70,
+        -70,
+        -70,
+        -60,
+        -60,
+        -60,
+        -70,
+        -70,
+        -70,
+        -60,
+        -60,
+        -60,
+        -50,
+        -50,
+        -50,
+        -60,
+        -60,
+        -60,
+        -50,
+        -50,
+        -50,
+        -40,
+        -40,
+        -40,
+        -50,
+        -50,
+        -50,
+        -40,
+        -40,
+        -40,
+        -30,
+        -30,
+        -30,
+        -40,
+        -40,
+        -40,
+        -30,
+        -30,
+        -30,
+        -40,
+        -40,
+        -40,
+        -30,
+        -30,
+        -30,
+        -20,
+        -20,
+        -20,
+        -10,
+        -10,
+        -10,
+        -20,
+        -20,
+        -20,
+        -10,
+        -10,
+        -10,
+        0,
+        0,
+        0,
+        -10,
+        -10,
+        -10,
+        0,
+        0,
+        0,
+        10,
+        10,
+        10,
+        0,
+        0,
+        0,
+        -10,
+        -10,
+        -10,
+        0,
+        0,
+        0,
+        10,
+        10,
+        10,
+        20,
+        20,
+        20,
+        30,
+        30,
+        30,
+        20,
+        20,
+        20,
+        30,
+        30,
+        30,
+        40,
+        40,
+        40,
+        30,
+        30,
+        30,
+        40,
+        40,
+        40,
+        30,
+        30,
+        30,
+        40,
+        40,
+        40,
+        50,
+        50,
+        50,
+        60,
+        60,
+        60,
+        50,
+        50,
+        50,
+        40,
+        40,
+        40,
+        50,
+        50,
+        50,
+        60,
+        60,
+        60,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        90,
+        90,
+        90,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        80,
+        80,
+        80,
+        70,
+        70,
+        70,
+        60,
+        60,
+        60,
+        50,
+        50,
+        50,
+        60,
+        60,
+        60,
+        50,
+        50,
+        50,
+        40,
+        40,
+        40,
+        50,
+        50,
+        50,
+        40,
+        40,
+        40,
+        30,
+        30,
+        30,
+        40,
+        40,
+        40,
+        30,
+        30,
+        30,
+        20,
+        20,
+        20,
+        30,
+        30,
+        30,
+        20,
+        20,
+        20,
+        10,
+        10,
+        10,
+        20,
+        20,
+        20,
+        10,
+        10,
+        10,
+        0,
+        0,
+        0,
+        10,
+        10,
+        10,
+        0,
+        0,
+        0,
+        -10,
+        -10,
+        -10,
+        0,
+        0,
+        0,
+        -10,
+        -10,
+        -10,
+        -20,
+        -20,
+        -20,
+        -10,
+        -10,
+        -10,
+        -20,
+        -20,
+        -20,
+        -30,
+        -30,
+        -30,
+        -40,
+        -40,
+        -40,
+        -30,
+        -30,
+        -30,
+        -40,
+        -40,
+        -40,
+        -30,
+        -30,
+        -30,
+        -40,
+        -40,
+        -40,
+        -50,
+        -50,
+        -50,
+        -40,
+        -40,
+        -40,
+        -50,
+        -50,
+        -50,
+        -60,
+        -60,
+        -60,
+        -50,
+        -50,
+        -50,
+        -60,
+        -60,
+        -60,
+        -70,
+        -70,
+        -70,
+        -60,
+        -60,
+        -60,
+        -70,
+        -70,
+        -70,
+        -80,
+        -80,
+        -80,
+        -70,
+        -70,
+        -70,
+        -80,
+        -80,
+        -80,
+        -90,
+        -90,
+        -90,
+        -80,
+        -80,
+        -80,
+        -90,
+        -90,
+        -90,
+        -100,
+        -100,
+        -100,
+        -90,
+        -90,
+        -90,
+        -100,
+        -100,
+        -100,
+        -110,
+        -110,
+        -110,
+        -100,
+        -100,
+        -100,
+        -110,
+        -110,
+        -110,
+        -120,
+        -120,
+        -120,
+        -130,
+        -130,
+        -130,
+        -120,
+        -120,
+        -120,
+        -130,
+        -130,
+        -130,
+        -120,
+        -120,
+        -120,
+        -130,
+        -130,
+        -130,
+        -140,
+        -140,
+        -140,
+        -130,
+        -130,
+        -130,
+        -140,
+        -140,
+        -140,
+        -150,
+        -150,
+        -150,
+        -140,
+        -140,
+        -140
+    ]
+}
\ No newline at end of file
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorD_position.json b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorD_position.json
new file mode 100644
index 0000000000000000000000000000000000000000..88776f876f7eda940de7550b40b5edd9c744cbf9
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorD_position.json
@@ -0,0 +1,4822 @@
+{
+    "time": [
+        0.005555555555555556,
+        0.011111111111111112,
+        0.016666666666666666,
+        0.022222222222222223,
+        0.02777777777777778,
+        0.03333333333333333,
+        0.03888888888888889,
+        0.044444444444444446,
+        0.05,
+        0.05555555555555556,
+        0.061111111111111116,
+        0.06666666666666667,
+        0.07222222222222222,
+        0.07777777777777777,
+        0.08333333333333331,
+        0.08888888888888886,
+        0.09444444444444441,
+        0.09999999999999996,
+        0.10555555555555551,
+        0.11111111111111106,
+        0.11666666666666661,
+        0.12222222222222216,
+        0.1277777777777777,
+        0.13333333333333328,
+        0.13888888888888884,
+        0.1444444444444444,
+        0.14999999999999997,
+        0.15555555555555553,
+        0.1611111111111111,
+        0.16666666666666666,
+        0.17222222222222222,
+        0.17777777777777778,
+        0.18333333333333335,
+        0.1888888888888889,
+        0.19444444444444448,
+        0.20000000000000004,
+        0.2055555555555556,
+        0.21111111111111117,
+        0.21666666666666673,
+        0.2222222222222223,
+        0.22777777777777786,
+        0.23333333333333342,
+        0.23888888888888898,
+        0.24444444444444455,
+        0.2500000000000001,
+        0.25555555555555565,
+        0.2611111111111112,
+        0.2666666666666667,
+        0.27222222222222225,
+        0.2777777777777778,
+        0.2833333333333333,
+        0.28888888888888886,
+        0.2944444444444444,
+        0.29999999999999993,
+        0.30555555555555547,
+        0.311111111111111,
+        0.31666666666666654,
+        0.3222222222222221,
+        0.3277777777777776,
+        0.33333333333333315,
+        0.3388888888888887,
+        0.3444444444444442,
+        0.34999999999999976,
+        0.3555555555555553,
+        0.3611111111111108,
+        0.36666666666666636,
+        0.3722222222222219,
+        0.37777777777777743,
+        0.38333333333333297,
+        0.3888888888888885,
+        0.39444444444444404,
+        0.3999999999999996,
+        0.4055555555555551,
+        0.41111111111111065,
+        0.4166666666666662,
+        0.4222222222222217,
+        0.42777777777777726,
+        0.4333333333333328,
+        0.43888888888888833,
+        0.44444444444444386,
+        0.4499999999999994,
+        0.45555555555555494,
+        0.46111111111111047,
+        0.466666666666666,
+        0.47222222222222154,
+        0.4777777777777771,
+        0.4833333333333326,
+        0.48888888888888815,
+        0.4944444444444437,
+        0.4999999999999992,
+        0.5055555555555548,
+        0.5111111111111103,
+        0.5166666666666658,
+        0.5222222222222214,
+        0.5277777777777769,
+        0.5333333333333324,
+        0.538888888888888,
+        0.5444444444444435,
+        0.549999999999999,
+        0.5555555555555546,
+        0.5611111111111101,
+        0.5666666666666657,
+        0.5722222222222212,
+        0.5777777777777767,
+        0.5833333333333323,
+        0.5888888888888878,
+        0.5944444444444433,
+        0.5999999999999989,
+        0.6055555555555544,
+        0.6111111111111099,
+        0.6166666666666655,
+        0.622222222222221,
+        0.6277777777777765,
+        0.6333333333333321,
+        0.6388888888888876,
+        0.6444444444444432,
+        0.6499999999999987,
+        0.6555555555555542,
+        0.6611111111111098,
+        0.6666666666666653,
+        0.6722222222222208,
+        0.6777777777777764,
+        0.6833333333333319,
+        0.6888888888888874,
+        0.694444444444443,
+        0.6999999999999985,
+        0.705555555555554,
+        0.7111111111111096,
+        0.7166666666666651,
+        0.7222222222222207,
+        0.7277777777777762,
+        0.7333333333333317,
+        0.7388888888888873,
+        0.7444444444444428,
+        0.7499999999999983,
+        0.7555555555555539,
+        0.7611111111111094,
+        0.7666666666666649,
+        0.7722222222222205,
+        0.777777777777776,
+        0.7833333333333315,
+        0.7888888888888871,
+        0.7944444444444426,
+        0.7999999999999982,
+        0.8055555555555537,
+        0.8111111111111092,
+        0.8166666666666648,
+        0.8222222222222203,
+        0.8277777777777758,
+        0.8333333333333314,
+        0.8388888888888869,
+        0.8444444444444424,
+        0.849999999999998,
+        0.8555555555555535,
+        0.861111111111109,
+        0.8666666666666646,
+        0.8722222222222201,
+        0.8777777777777757,
+        0.8833333333333312,
+        0.8888888888888867,
+        0.8944444444444423,
+        0.8999999999999978,
+        0.9055555555555533,
+        0.9111111111111089,
+        0.9166666666666644,
+        0.92222222222222,
+        0.9277777777777755,
+        0.933333333333331,
+        0.9388888888888866,
+        0.9444444444444421,
+        0.9499999999999976,
+        0.9555555555555532,
+        0.9611111111111087,
+        0.9666666666666642,
+        0.9722222222222198,
+        0.9777777777777753,
+        0.9833333333333308,
+        0.9888888888888864,
+        0.9944444444444419,
+        0.9999999999999974,
+        1.005555555555553,
+        1.0111111111111086,
+        1.0166666666666642,
+        1.0222222222222197,
+        1.0277777777777752,
+        1.0333333333333308,
+        1.0388888888888863,
+        1.0444444444444418,
+        1.0499999999999974,
+        1.055555555555553,
+        1.0611111111111085,
+        1.066666666666664,
+        1.0722222222222195,
+        1.077777777777775,
+        1.0833333333333306,
+        1.0888888888888861,
+        1.0944444444444417,
+        1.0999999999999972,
+        1.1055555555555527,
+        1.1111111111111083,
+        1.1166666666666638,
+        1.1222222222222193,
+        1.1277777777777749,
+        1.1333333333333304,
+        1.138888888888886,
+        1.1444444444444415,
+        1.149999999999997,
+        1.1555555555555526,
+        1.161111111111108,
+        1.1666666666666636,
+        1.1722222222222192,
+        1.1777777777777747,
+        1.1833333333333302,
+        1.1888888888888858,
+        1.1944444444444413,
+        1.1999999999999968,
+        1.2055555555555524,
+        1.211111111111108,
+        1.2166666666666635,
+        1.222222222222219,
+        1.2277777777777745,
+        1.23333333333333,
+        1.2388888888888856,
+        1.2444444444444411,
+        1.2499999999999967,
+        1.2555555555555522,
+        1.2611111111111077,
+        1.2666666666666633,
+        1.2722222222222188,
+        1.2777777777777743,
+        1.2833333333333299,
+        1.2888888888888854,
+        1.294444444444441,
+        1.2999999999999965,
+        1.305555555555552,
+        1.3111111111111076,
+        1.316666666666663,
+        1.3222222222222186,
+        1.3277777777777742,
+        1.3333333333333297,
+        1.3388888888888852,
+        1.3444444444444408,
+        1.3499999999999963,
+        1.3555555555555518,
+        1.3611111111111074,
+        1.366666666666663,
+        1.3722222222222185,
+        1.377777777777774,
+        1.3833333333333295,
+        1.388888888888885,
+        1.3944444444444406,
+        1.3999999999999961,
+        1.4055555555555517,
+        1.4111111111111072,
+        1.4166666666666627,
+        1.4222222222222183,
+        1.4277777777777738,
+        1.4333333333333294,
+        1.4388888888888849,
+        1.4444444444444404,
+        1.449999999999996,
+        1.4555555555555515,
+        1.461111111111107,
+        1.4666666666666626,
+        1.472222222222218,
+        1.4777777777777736,
+        1.4833333333333292,
+        1.4888888888888847,
+        1.4944444444444402,
+        1.4999999999999958,
+        1.5055555555555513,
+        1.5111111111111069,
+        1.5166666666666624,
+        1.522222222222218,
+        1.5277777777777735,
+        1.533333333333329,
+        1.5388888888888845,
+        1.54444444444444,
+        1.5499999999999956,
+        1.5555555555555511,
+        1.5611111111111067,
+        1.5666666666666622,
+        1.5722222222222177,
+        1.5777777777777733,
+        1.5833333333333288,
+        1.5888888888888844,
+        1.59444444444444,
+        1.5999999999999954,
+        1.605555555555551,
+        1.6111111111111065,
+        1.616666666666662,
+        1.6222222222222176,
+        1.627777777777773,
+        1.6333333333333286,
+        1.6388888888888842,
+        1.6444444444444397,
+        1.6499999999999952,
+        1.6555555555555508,
+        1.6611111111111063,
+        1.6666666666666619,
+        1.6722222222222174,
+        1.677777777777773,
+        1.6833333333333285,
+        1.688888888888884,
+        1.6944444444444395,
+        1.699999999999995,
+        1.7055555555555506,
+        1.7111111111111061,
+        1.7166666666666617,
+        1.7222222222222172,
+        1.7277777777777727,
+        1.7333333333333283,
+        1.7388888888888838,
+        1.7444444444444394,
+        1.749999999999995,
+        1.7555555555555504,
+        1.761111111111106,
+        1.7666666666666615,
+        1.772222222222217,
+        1.7777777777777726,
+        1.783333333333328,
+        1.7888888888888836,
+        1.7944444444444392,
+        1.7999999999999947,
+        1.8055555555555503,
+        1.8111111111111058,
+        1.8166666666666613,
+        1.8222222222222169,
+        1.8277777777777724,
+        1.833333333333328,
+        1.8388888888888835,
+        1.844444444444439,
+        1.8499999999999945,
+        1.85555555555555,
+        1.8611111111111056,
+        1.8666666666666611,
+        1.8722222222222167,
+        1.8777777777777722,
+        1.8833333333333278,
+        1.8888888888888833,
+        1.8944444444444388,
+        1.8999999999999944,
+        1.90555555555555,
+        1.9111111111111054,
+        1.916666666666661,
+        1.9222222222222165,
+        1.927777777777772,
+        1.9333333333333276,
+        1.938888888888883,
+        1.9444444444444386,
+        1.9499999999999942,
+        1.9555555555555497,
+        1.9611111111111053,
+        1.9666666666666608,
+        1.9722222222222163,
+        1.9777777777777719,
+        1.9833333333333274,
+        1.988888888888883,
+        1.9944444444444385,
+        1.999999999999994,
+        2.0055555555555498,
+        2.0111111111111053,
+        2.016666666666661,
+        2.0222222222222164,
+        2.027777777777772,
+        2.0333333333333274,
+        2.038888888888883,
+        2.0444444444444385,
+        2.049999999999994,
+        2.0555555555555496,
+        2.061111111111105,
+        2.0666666666666607,
+        2.072222222222216,
+        2.0777777777777717,
+        2.0833333333333273,
+        2.088888888888883,
+        2.0944444444444383,
+        2.099999999999994,
+        2.1055555555555494,
+        2.111111111111105,
+        2.1166666666666605,
+        2.122222222222216,
+        2.1277777777777716,
+        2.133333333333327,
+        2.1388888888888826,
+        2.144444444444438,
+        2.1499999999999937,
+        2.1555555555555492,
+        2.1611111111111048,
+        2.1666666666666603,
+        2.172222222222216,
+        2.1777777777777714,
+        2.183333333333327,
+        2.1888888888888824,
+        2.194444444444438,
+        2.1999999999999935,
+        2.205555555555549,
+        2.2111111111111046,
+        2.21666666666666,
+        2.2222222222222157,
+        2.227777777777771,
+        2.2333333333333267,
+        2.2388888888888823,
+        2.244444444444438,
+        2.2499999999999933,
+        2.255555555555549,
+        2.2611111111111044,
+        2.26666666666666,
+        2.2722222222222155,
+        2.277777777777771,
+        2.2833333333333266,
+        2.288888888888882,
+        2.2944444444444376,
+        2.299999999999993,
+        2.3055555555555487,
+        2.3111111111111042,
+        2.3166666666666598,
+        2.3222222222222153,
+        2.327777777777771,
+        2.3333333333333264,
+        2.338888888888882,
+        2.3444444444444374,
+        2.349999999999993,
+        2.3555555555555485,
+        2.361111111111104,
+        2.3666666666666596,
+        2.372222222222215,
+        2.3777777777777707,
+        2.383333333333326,
+        2.3888888888888817,
+        2.3944444444444373,
+        2.399999999999993,
+        2.4055555555555483,
+        2.411111111111104,
+        2.4166666666666594,
+        2.422222222222215,
+        2.4277777777777705,
+        2.433333333333326,
+        2.4388888888888816,
+        2.444444444444437,
+        2.4499999999999926,
+        2.455555555555548,
+        2.4611111111111037,
+        2.4666666666666592,
+        2.4722222222222148,
+        2.4777777777777703,
+        2.483333333333326,
+        2.4888888888888814,
+        2.494444444444437,
+        2.4999999999999925,
+        2.505555555555548,
+        2.5111111111111035,
+        2.516666666666659,
+        2.5222222222222146,
+        2.52777777777777,
+        2.5333333333333257,
+        2.538888888888881,
+        2.5444444444444367,
+        2.5499999999999923,
+        2.555555555555548,
+        2.5611111111111033,
+        2.566666666666659,
+        2.5722222222222144,
+        2.57777777777777,
+        2.5833333333333255,
+        2.588888888888881,
+        2.5944444444444366,
+        2.599999999999992,
+        2.6055555555555476,
+        2.611111111111103,
+        2.6166666666666587,
+        2.6222222222222142,
+        2.6277777777777698,
+        2.6333333333333253,
+        2.638888888888881,
+        2.6444444444444364,
+        2.649999999999992,
+        2.6555555555555475,
+        2.661111111111103,
+        2.6666666666666585,
+        2.672222222222214,
+        2.6777777777777696,
+        2.683333333333325,
+        2.6888888888888807,
+        2.694444444444436,
+        2.6999999999999917,
+        2.7055555555555473,
+        2.711111111111103,
+        2.7166666666666583,
+        2.722222222222214,
+        2.7277777777777694,
+        2.733333333333325,
+        2.7388888888888805,
+        2.744444444444436,
+        2.7499999999999916,
+        2.755555555555547,
+        2.7611111111111026,
+        2.766666666666658,
+        2.7722222222222137,
+        2.7777777777777692,
+        2.7833333333333248,
+        2.7888888888888803,
+        2.794444444444436,
+        2.7999999999999914,
+        2.805555555555547,
+        2.8111111111111025,
+        2.816666666666658,
+        2.8222222222222135,
+        2.827777777777769,
+        2.8333333333333246,
+        2.83888888888888,
+        2.8444444444444357,
+        2.849999999999991,
+        2.8555555555555467,
+        2.8611111111111023,
+        2.866666666666658,
+        2.8722222222222134,
+        2.877777777777769,
+        2.8833333333333244,
+        2.88888888888888,
+        2.8944444444444355,
+        2.899999999999991,
+        2.9055555555555466,
+        2.911111111111102,
+        2.9166666666666576,
+        2.922222222222213,
+        2.9277777777777687,
+        2.9333333333333242,
+        2.93888888888888,
+        2.9444444444444353,
+        2.949999999999991,
+        2.9555555555555464,
+        2.961111111111102,
+        2.9666666666666575,
+        2.972222222222213,
+        2.9777777777777685,
+        2.983333333333324,
+        2.9888888888888796,
+        2.994444444444435,
+        2.9999999999999907,
+        3.005555555555546,
+        3.0111111111111017,
+        3.0166666666666573,
+        3.022222222222213,
+        3.0277777777777684,
+        3.033333333333324,
+        3.0388888888888794,
+        3.044444444444435,
+        3.0499999999999905,
+        3.055555555555546,
+        3.0611111111111016,
+        3.066666666666657,
+        3.0722222222222126,
+        3.077777777777768,
+        3.0833333333333237,
+        3.0888888888888792,
+        3.094444444444435,
+        3.0999999999999903,
+        3.105555555555546,
+        3.1111111111111014,
+        3.116666666666657,
+        3.1222222222222125,
+        3.127777777777768,
+        3.1333333333333235,
+        3.138888888888879,
+        3.1444444444444346,
+        3.14999999999999,
+        3.1555555555555457,
+        3.161111111111101,
+        3.1666666666666567,
+        3.1722222222222123,
+        3.177777777777768,
+        3.1833333333333234,
+        3.188888888888879,
+        3.1944444444444344,
+        3.19999999999999,
+        3.2055555555555455,
+        3.211111111111101,
+        3.2166666666666566,
+        3.222222222222212,
+        3.2277777777777676,
+        3.233333333333323,
+        3.2388888888888787,
+        3.2444444444444343,
+        3.24999999999999,
+        3.2555555555555453,
+        3.261111111111101,
+        3.2666666666666564,
+        3.272222222222212,
+        3.2777777777777675,
+        3.283333333333323,
+        3.2888888888888785,
+        3.294444444444434,
+        3.2999999999999896,
+        3.305555555555545,
+        3.3111111111111007,
+        3.316666666666656,
+        3.3222222222222118,
+        3.3277777777777673,
+        3.333333333333323,
+        3.3388888888888784,
+        3.344444444444434,
+        3.3499999999999894,
+        3.355555555555545,
+        3.3611111111111005,
+        3.366666666666656,
+        3.3722222222222116,
+        3.377777777777767,
+        3.3833333333333226,
+        3.388888888888878,
+        3.3944444444444337,
+        3.3999999999999893,
+        3.405555555555545,
+        3.4111111111111003,
+        3.416666666666656,
+        3.4222222222222114,
+        3.427777777777767,
+        3.4333333333333225,
+        3.438888888888878,
+        3.4444444444444335,
+        3.449999999999989,
+        3.4555555555555446,
+        3.4611111111111,
+        3.4666666666666557,
+        3.472222222222211,
+        3.4777777777777668,
+        3.4833333333333223,
+        3.488888888888878,
+        3.4944444444444334,
+        3.499999999999989,
+        3.5055555555555444,
+        3.5111111111111,
+        3.5166666666666555,
+        3.522222222222211,
+        3.5277777777777666,
+        3.533333333333322,
+        3.5388888888888776,
+        3.544444444444433,
+        3.5499999999999887,
+        3.5555555555555443,
+        3.5611111111111,
+        3.5666666666666553,
+        3.572222222222211,
+        3.5777777777777664,
+        3.583333333333322,
+        3.5888888888888775,
+        3.594444444444433,
+        3.5999999999999885,
+        3.605555555555544,
+        3.6111111111110996,
+        3.616666666666655,
+        3.6222222222222107,
+        3.627777777777766,
+        3.6333333333333218,
+        3.6388888888888773,
+        3.644444444444433,
+        3.6499999999999884,
+        3.655555555555544,
+        3.6611111111110994,
+        3.666666666666655,
+        3.6722222222222105,
+        3.677777777777766,
+        3.6833333333333216,
+        3.688888888888877,
+        3.6944444444444327,
+        3.699999999999988,
+        3.7055555555555437,
+        3.7111111111110993,
+        3.716666666666655,
+        3.7222222222222103,
+        3.727777777777766,
+        3.7333333333333214,
+        3.738888888888877,
+        3.7444444444444325,
+        3.749999999999988,
+        3.7555555555555435,
+        3.761111111111099,
+        3.7666666666666546,
+        3.77222222222221,
+        3.7777777777777657,
+        3.7833333333333212,
+        3.7888888888888768,
+        3.7944444444444323,
+        3.799999999999988,
+        3.8055555555555434,
+        3.811111111111099,
+        3.8166666666666544,
+        3.82222222222221,
+        3.8277777777777655,
+        3.833333333333321,
+        3.8388888888888766,
+        3.844444444444432,
+        3.8499999999999877,
+        3.855555555555543,
+        3.8611111111110987,
+        3.8666666666666543,
+        3.87222222222221,
+        3.8777777777777653,
+        3.883333333333321,
+        3.8888888888888764,
+        3.894444444444432,
+        3.8999999999999875,
+        3.905555555555543,
+        3.9111111111110985,
+        3.916666666666654,
+        3.9222222222222096,
+        3.927777777777765,
+        3.9333333333333207,
+        3.9388888888888762,
+        3.9444444444444318,
+        3.9499999999999873,
+        3.955555555555543,
+        3.9611111111110984,
+        3.966666666666654,
+        3.9722222222222094,
+        3.977777777777765,
+        3.9833333333333205,
+        3.988888888888876,
+        3.9944444444444316,
+        3.999999999999987,
+        4.005555555555543,
+        4.011111111111099,
+        4.016666666666654,
+        4.02222222222221,
+        4.027777777777765,
+        4.033333333333321,
+        4.038888888888876,
+        4.044444444444432,
+        4.049999999999987,
+        4.055555555555543,
+        4.0611111111110985,
+        4.066666666666654,
+        4.0722222222222095,
+        4.077777777777765,
+        4.083333333333321,
+        4.088888888888876,
+        4.094444444444432,
+        4.099999999999987,
+        4.105555555555543,
+        4.111111111111098,
+        4.116666666666654,
+        4.122222222222209,
+        4.127777777777765,
+        4.13333333333332,
+        4.138888888888876,
+        4.1444444444444315,
+        4.149999999999987,
+        4.155555555555543,
+        4.161111111111098,
+        4.166666666666654,
+        4.172222222222209,
+        4.177777777777765,
+        4.18333333333332,
+        4.188888888888876,
+        4.194444444444431,
+        4.199999999999987,
+        4.205555555555542,
+        4.211111111111098,
+        4.2166666666666535,
+        4.222222222222209,
+        4.2277777777777645,
+        4.23333333333332,
+        4.238888888888876,
+        4.244444444444431,
+        4.249999999999987,
+        4.255555555555542,
+        4.261111111111098,
+        4.266666666666653,
+        4.272222222222209,
+        4.277777777777764,
+        4.28333333333332,
+        4.288888888888875,
+        4.294444444444431,
+        4.2999999999999865,
+        4.305555555555542,
+        4.311111111111098,
+        4.316666666666653,
+        4.322222222222209,
+        4.327777777777764,
+        4.33333333333332,
+        4.338888888888875,
+        4.344444444444431,
+        4.349999999999986,
+        4.355555555555542,
+        4.361111111111097,
+        4.366666666666653,
+        4.3722222222222085,
+        4.377777777777764,
+        4.3833333333333195,
+        4.388888888888875,
+        4.394444444444431,
+        4.399999999999986,
+        4.405555555555542,
+        4.411111111111097,
+        4.416666666666653,
+        4.422222222222208,
+        4.427777777777764,
+        4.433333333333319,
+        4.438888888888875,
+        4.44444444444443,
+        4.449999999999986,
+        4.4555555555555415,
+        4.461111111111097,
+        4.466666666666653,
+        4.472222222222208,
+        4.477777777777764,
+        4.483333333333319,
+        4.488888888888875,
+        4.49444444444443,
+        4.499999999999986,
+        4.505555555555541,
+        4.511111111111097,
+        4.516666666666652,
+        4.522222222222208,
+        4.5277777777777635,
+        4.533333333333319,
+        4.5388888888888745,
+        4.54444444444443,
+        4.549999999999986,
+        4.555555555555541,
+        4.561111111111097,
+        4.566666666666652,
+        4.572222222222208,
+        4.577777777777763,
+        4.583333333333319,
+        4.588888888888874,
+        4.59444444444443,
+        4.599999999999985,
+        4.605555555555541,
+        4.6111111111110965,
+        4.616666666666652,
+        4.622222222222208,
+        4.627777777777763,
+        4.633333333333319,
+        4.638888888888874,
+        4.64444444444443,
+        4.649999999999985,
+        4.655555555555541,
+        4.661111111111096,
+        4.666666666666652,
+        4.672222222222207,
+        4.677777777777763,
+        4.6833333333333185,
+        4.688888888888874,
+        4.6944444444444295,
+        4.699999999999985,
+        4.705555555555541,
+        4.711111111111096,
+        4.716666666666652,
+        4.722222222222207,
+        4.727777777777763,
+        4.733333333333318,
+        4.738888888888874,
+        4.744444444444429,
+        4.749999999999985,
+        4.75555555555554,
+        4.761111111111096,
+        4.7666666666666515,
+        4.772222222222207,
+        4.777777777777763,
+        4.783333333333318,
+        4.788888888888874,
+        4.794444444444429,
+        4.799999999999985,
+        4.80555555555554,
+        4.811111111111096,
+        4.816666666666651,
+        4.822222222222207,
+        4.827777777777762,
+        4.833333333333318,
+        4.8388888888888735,
+        4.844444444444429,
+        4.8499999999999845,
+        4.85555555555554,
+        4.861111111111096,
+        4.866666666666651,
+        4.872222222222207,
+        4.877777777777762,
+        4.883333333333318,
+        4.888888888888873,
+        4.894444444444429,
+        4.899999999999984,
+        4.90555555555554,
+        4.911111111111095,
+        4.916666666666651,
+        4.9222222222222065,
+        4.927777777777762,
+        4.933333333333318,
+        4.938888888888873,
+        4.944444444444429,
+        4.949999999999984,
+        4.95555555555554,
+        4.961111111111095,
+        4.966666666666651,
+        4.972222222222206,
+        4.977777777777762,
+        4.983333333333317,
+        4.988888888888873,
+        4.9944444444444285,
+        4.999999999999984,
+        5.0055555555555395,
+        5.011111111111095,
+        5.016666666666651,
+        5.022222222222206,
+        5.027777777777762,
+        5.033333333333317,
+        5.038888888888873,
+        5.044444444444428,
+        5.049999999999984,
+        5.055555555555539,
+        5.061111111111095,
+        5.06666666666665,
+        5.072222222222206,
+        5.0777777777777615,
+        5.083333333333317,
+        5.088888888888873,
+        5.094444444444428,
+        5.099999999999984,
+        5.105555555555539,
+        5.111111111111095,
+        5.11666666666665,
+        5.122222222222206,
+        5.127777777777761,
+        5.133333333333317,
+        5.138888888888872,
+        5.144444444444428,
+        5.1499999999999835,
+        5.155555555555539,
+        5.1611111111110946,
+        5.16666666666665,
+        5.172222222222206,
+        5.177777777777761,
+        5.183333333333317,
+        5.188888888888872,
+        5.194444444444428,
+        5.199999999999983,
+        5.205555555555539,
+        5.211111111111094,
+        5.21666666666665,
+        5.2222222222222054,
+        5.227777777777761,
+        5.2333333333333165,
+        5.238888888888872,
+        5.244444444444428,
+        5.249999999999983,
+        5.255555555555539,
+        5.261111111111094,
+        5.26666666666665,
+        5.272222222222205,
+        5.277777777777761,
+        5.283333333333316,
+        5.288888888888872,
+        5.294444444444427,
+        5.299999999999983,
+        5.3055555555555385,
+        5.311111111111094,
+        5.3166666666666496,
+        5.322222222222205,
+        5.327777777777761,
+        5.333333333333316,
+        5.338888888888872,
+        5.344444444444427,
+        5.349999999999983,
+        5.355555555555538,
+        5.361111111111094,
+        5.366666666666649,
+        5.372222222222205,
+        5.3777777777777604,
+        5.383333333333316,
+        5.3888888888888715,
+        5.394444444444427,
+        5.399999999999983,
+        5.405555555555538,
+        5.411111111111094,
+        5.416666666666649,
+        5.422222222222205,
+        5.42777777777776,
+        5.433333333333316,
+        5.438888888888871,
+        5.444444444444427,
+        5.449999999999982,
+        5.455555555555538,
+        5.4611111111110935,
+        5.466666666666649,
+        5.472222222222205,
+        5.47777777777776,
+        5.483333333333316,
+        5.488888888888871,
+        5.494444444444427,
+        5.499999999999982,
+        5.505555555555538,
+        5.511111111111093,
+        5.516666666666649,
+        5.522222222222204,
+        5.52777777777776,
+        5.5333333333333155,
+        5.538888888888871,
+        5.5444444444444265,
+        5.549999999999982,
+        5.555555555555538,
+        5.561111111111093,
+        5.566666666666649,
+        5.572222222222204,
+        5.57777777777776,
+        5.583333333333315,
+        5.588888888888871,
+        5.594444444444426,
+        5.599999999999982,
+        5.605555555555537,
+        5.611111111111093,
+        5.6166666666666485,
+        5.622222222222204,
+        5.62777777777776,
+        5.633333333333315,
+        5.638888888888871,
+        5.644444444444426,
+        5.649999999999982,
+        5.655555555555537,
+        5.661111111111093,
+        5.666666666666648,
+        5.672222222222204,
+        5.677777777777759,
+        5.683333333333315,
+        5.6888888888888705,
+        5.694444444444426,
+        5.6999999999999815,
+        5.705555555555537,
+        5.711111111111093,
+        5.716666666666648,
+        5.722222222222204,
+        5.727777777777759,
+        5.733333333333315,
+        5.73888888888887,
+        5.744444444444426,
+        5.749999999999981,
+        5.755555555555537,
+        5.761111111111092,
+        5.766666666666648,
+        5.7722222222222035,
+        5.777777777777759,
+        5.783333333333315,
+        5.78888888888887,
+        5.794444444444426,
+        5.799999999999981,
+        5.805555555555537,
+        5.811111111111092,
+        5.816666666666648,
+        5.822222222222203,
+        5.827777777777759,
+        5.833333333333314,
+        5.83888888888887,
+        5.8444444444444255,
+        5.849999999999981,
+        5.8555555555555365,
+        5.861111111111092,
+        5.866666666666648,
+        5.872222222222203,
+        5.877777777777759,
+        5.883333333333314,
+        5.88888888888887,
+        5.894444444444425,
+        5.899999999999981,
+        5.905555555555536,
+        5.911111111111092,
+        5.916666666666647,
+        5.922222222222203,
+        5.9277777777777585,
+        5.933333333333314,
+        5.93888888888887,
+        5.944444444444425,
+        5.949999999999981,
+        5.955555555555536,
+        5.961111111111092,
+        5.966666666666647,
+        5.972222222222203,
+        5.977777777777758,
+        5.983333333333314,
+        5.988888888888869,
+        5.994444444444425,
+        5.9999999999999805,
+        6.005555555555536,
+        6.0111111111110915,
+        6.016666666666647,
+        6.022222222222203,
+        6.027777777777758,
+        6.033333333333314,
+        6.038888888888869,
+        6.044444444444425,
+        6.04999999999998,
+        6.055555555555536,
+        6.061111111111091,
+        6.066666666666647,
+        6.072222222222202,
+        6.077777777777758,
+        6.0833333333333135,
+        6.088888888888869,
+        6.094444444444425,
+        6.09999999999998,
+        6.105555555555536,
+        6.111111111111091,
+        6.116666666666647,
+        6.122222222222202,
+        6.127777777777758,
+        6.133333333333313,
+        6.138888888888869,
+        6.144444444444424,
+        6.14999999999998,
+        6.1555555555555355,
+        6.161111111111091,
+        6.1666666666666465,
+        6.172222222222202,
+        6.177777777777758,
+        6.183333333333313,
+        6.188888888888869,
+        6.194444444444424,
+        6.19999999999998,
+        6.205555555555535,
+        6.211111111111091,
+        6.216666666666646,
+        6.222222222222202,
+        6.227777777777757,
+        6.233333333333313,
+        6.2388888888888685,
+        6.244444444444424,
+        6.24999999999998,
+        6.255555555555535,
+        6.261111111111091,
+        6.266666666666646,
+        6.272222222222202,
+        6.277777777777757,
+        6.283333333333313,
+        6.288888888888868,
+        6.294444444444424,
+        6.299999999999979,
+        6.305555555555535,
+        6.3111111111110905,
+        6.316666666666646,
+        6.3222222222222015,
+        6.327777777777757,
+        6.333333333333313,
+        6.338888888888868,
+        6.344444444444424,
+        6.349999999999979,
+        6.355555555555535,
+        6.36111111111109,
+        6.366666666666646,
+        6.372222222222201,
+        6.377777777777757,
+        6.383333333333312,
+        6.388888888888868,
+        6.3944444444444235,
+        6.399999999999979,
+        6.405555555555535,
+        6.41111111111109,
+        6.416666666666646,
+        6.422222222222201,
+        6.427777777777757,
+        6.433333333333312,
+        6.438888888888868,
+        6.444444444444423,
+        6.449999999999979,
+        6.455555555555534,
+        6.46111111111109,
+        6.4666666666666455,
+        6.472222222222201,
+        6.4777777777777565,
+        6.483333333333312,
+        6.488888888888868,
+        6.494444444444423,
+        6.499999999999979,
+        6.505555555555534,
+        6.51111111111109,
+        6.516666666666645,
+        6.522222222222201,
+        6.527777777777756,
+        6.533333333333312,
+        6.538888888888867,
+        6.544444444444423,
+        6.5499999999999785,
+        6.555555555555534,
+        6.56111111111109,
+        6.566666666666645,
+        6.572222222222201,
+        6.577777777777756,
+        6.583333333333312,
+        6.588888888888867,
+        6.594444444444423,
+        6.599999999999978,
+        6.605555555555534,
+        6.611111111111089,
+        6.616666666666645,
+        6.6222222222222005,
+        6.627777777777756,
+        6.6333333333333115,
+        6.638888888888867,
+        6.644444444444423,
+        6.649999999999978,
+        6.655555555555534,
+        6.661111111111089,
+        6.666666666666645,
+        6.6722222222222,
+        6.677777777777756,
+        6.683333333333311
+    ],
+    "x": [
+        606,
+        606,
+        606,
+        625.6961550602441,
+        625.6961550602441,
+        645.6961550602441,
+        665.3923101204882,
+        684.1861625362064,
+        701.5066706118952,
+        716.8275594742747,
+        729.6833116680056,
+        745.0042005303851,
+        762.3247086060738,
+        777.6455974684534,
+        794.9661055441421,
+        810.2869944065217,
+        823.1427466002525,
+        838.463635462632,
+        851.3193876563629,
+        861.3193876563629,
+        874.1751398500937,
+        884.1751398500937,
+        891.0155427166071,
+        901.0155427166071,
+        907.8559455831205,
+        911.3289091364591,
+        918.1693120029724,
+        921.642275556311,
+        928.4826784228244,
+        931.955641976163,
+        938.7960448426763,
+        948.7960448426763,
+        955.6364477091897,
+        959.1094112625283,
+        959.1094112625283,
+        955.6364477091897,
+        955.6364477091897,
+        959.1094112625283,
+        965.9498141290417,
+        975.9498141290417,
+        988.8055663227725,
+        998.8055663227725,
+        1005.6459691892859,
+        1015.6459691892859,
+        1028.5017213830167,
+        1043.8226102453964,
+        1061.1431183210852,
+        1076.464007183465,
+        1093.7845152591537,
+        1112.578367674872,
+        1129.8988757505608,
+        1148.692728166279,
+        1166.013236241968,
+        1184.807088657686,
+        1204.5032437179302,
+        1224.5032437179302,
+        1244.1993987781743,
+        1264.1993987781743,
+        1283.8955538384184,
+        1303.8955538384184,
+        1323.5917088986625,
+        1343.5917088986625,
+        1363.2878639589067,
+        1382.0817163746249,
+        1401.777871434869,
+        1420.5717238505872,
+        1437.892231926276,
+        1453.2131207886557,
+        1470.5336288643446,
+        1485.8545177267242,
+        1498.710269920455,
+        1514.0311587828346,
+        1526.8869109765653,
+        1536.8869109765653,
+        1549.742663170296,
+        1565.0635520326757,
+        1577.9193042264064,
+        1587.9193042264064,
+        1594.7597070929198,
+        1604.7597070929198,
+        1611.6001099594332,
+        1621.6001099594332,
+        1628.4405128259466,
+        1631.9134763792852,
+        1631.9134763792852,
+        1628.4405128259466,
+        1628.4405128259466,
+        1624.967549272608,
+        1624.967549272608,
+        1621.4945857192695,
+        1614.654182852756,
+        1604.654182852756,
+        1597.8137799862427,
+        1594.3408164329041,
+        1587.5004135663908,
+        1577.5004135663908,
+        1564.64466137266,
+        1549.3237725102804,
+        1532.0032644345915,
+        1516.6823755722119,
+        1503.8266233784811,
+        1488.5057345161015,
+        1471.1852264404126,
+        1452.3913740246944,
+        1435.0708659490056,
+        1419.749977086626,
+        1402.429469010937,
+        1383.6356165952188,
+        1363.9394615349747,
+        1345.1456091192565,
+        1325.4494540590124,
+        1305.4494540590124,
+        1285.7532989987683,
+        1265.7532989987683,
+        1246.0571439385242,
+        1226.0571439385242,
+        1206.36098887828,
+        1187.5671364625618,
+        1167.8709814023177,
+        1149.0771289865995,
+        1129.3809739263554,
+        1110.5871215106372,
+        1093.2666134349483,
+        1077.9457245725687,
+        1065.089972378838,
+        1055.089972378838,
+        1042.2342201851072,
+        1026.9133313227276,
+        1014.0575791289968,
+        998.7366902666173,
+        985.8809380728865,
+        975.8809380728865,
+        969.0405352063731,
+        959.0405352063731,
+        952.2001323398597,
+        948.7271687865211,
+        948.7271687865211,
+        945.2542052331826,
+        945.2542052331826,
+        941.781241679844,
+        934.9408388133306,
+        931.4678752599921,
+        931.4678752599921,
+        927.9949117066535,
+        921.1545088401401,
+        917.6815452868016,
+        917.6815452868016,
+        914.208581733463,
+        907.3681788669496,
+        897.3681788669496,
+        884.5124266732189,
+        869.1915378108393,
+        856.3357856171085,
+        846.3357856171085,
+        833.4800334233778,
+        818.1591445609982,
+        800.8386364853095,
+        782.0447840695913,
+        764.7242759939026,
+        745.9304235781843,
+        728.6099155024956,
+        713.289026640116,
+        695.9685185644273,
+        677.1746661487091,
+        657.478511088465,
+        638.6846586727468,
+        618.9885036125027,
+        598.9885036125027,
+        579.2923485522585,
+        559.2923485522585,
+        539.5961934920144,
+        520.8023410762962,
+        501.10618601605205,
+        481.10618601605205,
+        461.4100309558079,
+        442.6161785400897,
+        425.2956704644009,
+        409.9747816020214,
+        392.6542735263326,
+        377.33338466395304,
+        360.01287658826425,
+        344.6919877258847,
+        327.3714796501959,
+        312.05059078781636,
+        299.1948385940856,
+        289.1948385940856,
+        276.3390864003548,
+        266.3390864003548,
+        259.4986835338414,
+        249.49868353384144,
+        242.65828066732809,
+        239.1853171139895,
+        232.34491424747614,
+        222.34491424747617,
+        215.5045113809628,
+        212.03154782762422,
+        212.03154782762422,
+        215.50451138096284,
+        222.34491424747623,
+        225.81787780081484,
+        232.65828066732823,
+        236.13124422066684,
+        242.97164708718023,
+        246.44461064051885,
+        253.28501350703223,
+        263.2850135070322,
+        270.1254163735456,
+        280.1254163735456,
+        292.98116856727637,
+        308.3020574296559,
+        321.1578096233867,
+        336.47869848576624,
+        353.79920656145504,
+        369.1200954238346,
+        386.4406034995234,
+        405.23445591524154,
+        422.55496399093033,
+        437.8758528533099,
+        455.1963609289987,
+        473.99021334471684,
+        493.686368404961,
+        513.6863684049611,
+        533.3825234652052,
+        552.1763758809234,
+        571.8725309411675,
+        591.8725309411675,
+        611.5686860014116,
+        631.5686860014116,
+        651.2648410616557,
+        671.2648410616557,
+        690.9609961218998,
+        709.754848537618,
+        727.0753566133068,
+        742.3962454756863,
+        759.7167535513751,
+        775.0376424137546,
+        792.3581504894433,
+        807.6790393518229,
+        824.9995474275116,
+        840.3204362898912,
+        853.176188483622,
+        863.176188483622,
+        876.0319406773528,
+        886.0319406773528,
+        892.8723435438662,
+        902.8723435438662,
+        909.7127464103796,
+        913.1857099637182,
+        920.0261128302316,
+        930.0261128302316,
+        936.866515696745,
+        940.3394792500835,
+        940.3394792500835,
+        936.866515696745,
+        936.866515696745,
+        940.3394792500835,
+        947.1798821165969,
+        957.1798821165969,
+        964.0202849831103,
+        974.0202849831103,
+        980.8606878496237,
+        984.3336514029622,
+        991.1740542694756,
+        1001.1740542694756,
+        1014.0298064632065,
+        1024.0298064632066,
+        1036.8855586569373,
+        1052.206447519317,
+        1065.0621997130477,
+        1080.3830885754273,
+        1097.7035966511162,
+        1116.4974490668344,
+        1133.8179571425233,
+        1152.6118095582415,
+        1169.9323176339303,
+        1188.7261700496485,
+        1208.4223251098927,
+        1228.4223251098927,
+        1248.1184801701368,
+        1268.1184801701368,
+        1287.8146352303809,
+        1307.8146352303809,
+        1327.510790290625,
+        1347.510790290625,
+        1367.206945350869,
+        1386.0007977665873,
+        1403.3213058422762,
+        1422.1151582579944,
+        1439.4356663336832,
+        1458.2295187494014,
+        1475.5500268250903,
+        1490.87091568747,
+        1508.1914237631588,
+        1523.5123126255385,
+        1536.3680648192692,
+        1551.6889536816489,
+        1564.5447058753796,
+        1574.5447058753796,
+        1581.385108741893,
+        1591.385108741893,
+        1598.2255116084064,
+        1601.698475161745,
+        1608.5388780282583,
+        1612.0118415815969,
+        1618.8522444481102,
+        1622.3252080014488,
+        1622.3252080014488,
+        1618.8522444481102,
+        1618.8522444481102,
+        1622.3252080014488,
+        1622.3252080014488,
+        1618.8522444481102,
+        1612.0118415815969,
+        1602.0118415815969,
+        1595.1714387150835,
+        1585.1714387150835,
+        1578.33103584857,
+        1568.33103584857,
+        1561.4906329820567,
+        1551.4906329820567,
+        1538.634880788326,
+        1523.3139919259463,
+        1505.9934838502575,
+        1487.1996314345392,
+        1469.8791233588504,
+        1454.5582344964707,
+        1437.2377264207819,
+        1418.4438740050637,
+        1401.1233659293748,
+        1382.3295135136566,
+        1365.0090054379677,
+        1346.2151530222495,
+        1326.5189979620054,
+        1306.5189979620054,
+        1286.8228429017613,
+        1266.8228429017613,
+        1247.1266878415172,
+        1227.1266878415172,
+        1207.430532781273,
+        1188.6366803655549,
+        1171.316172289866,
+        1152.5223198741478,
+        1135.201811798459,
+        1116.4079593827407,
+        1099.0874513070519,
+        1080.2935988913337,
+        1062.9730908156448,
+        1047.6522019532651,
+        1034.7964497595344,
+        1024.7964497595344,
+        1011.9406975658037,
+        996.6198087034242,
+        983.7640565096933,
+        973.7640565096933,
+        966.9236536431799,
+        963.4506900898414,
+        956.610287223328,
+        953.1373236699894,
+        953.1373236699894,
+        949.6643601166509,
+        942.8239572501375,
+        939.3509936967989,
+        932.5105908302855,
+        929.037627276947,
+        929.037627276947,
+        932.5105908302855,
+        932.5105908302855,
+        929.037627276947,
+        922.1972244104336,
+        912.1972244104336,
+        905.3568215439202,
+        895.3568215439202,
+        882.5010693501895,
+        867.1801804878099,
+        849.8596724121212,
+        834.5387835497417,
+        821.6830313560108,
+        811.6830313560108,
+        798.8272791622801,
+        783.5063902999005,
+        766.1858822242118,
+        750.8649933618323,
+        733.5444852861435,
+        714.7506328704253,
+        695.0544778101812,
+        676.260625394463,
+        656.5644703342189,
+        636.5644703342189,
+        616.8683152739748,
+        596.8683152739748,
+        577.1721602137306,
+        557.1721602137306,
+        537.4760051534865,
+        517.4760051534865,
+        497.7798500932424,
+        478.9859976775242,
+        461.6654896018354,
+        442.87163718611725,
+        423.1754821258731,
+        404.3816297101549,
+        387.06112163446613,
+        371.7402327720866,
+        358.8844805783558,
+        343.56359171597626,
+        330.7078395222455,
+        315.38695065986593,
+        302.53119846613515,
+        292.53119846613515,
+        279.6754462724044,
+        269.6754462724044,
+        262.835043405891,
+        252.835043405891,
+        239.9792912121602,
+        229.97929121216023,
+        223.13888834564688,
+        219.6659247923083,
+        219.6659247923083,
+        216.1929612389697,
+        216.1929612389697,
+        219.66592479230832,
+        226.5063276588217,
+        229.97929121216032,
+        236.8196940786737,
+        240.29265763201232,
+        240.29265763201232,
+        243.76562118535094,
+        250.60602405186432,
+        260.6060240518643,
+        273.4617762455951,
+        283.4617762455951,
+        296.3175284393259,
+        311.63841730170543,
+        324.4941694954362,
+        334.4941694954362,
+        347.349921689167,
+        362.67081055154654,
+        379.99131862723533,
+        398.7851710429535,
+        416.1056791186423,
+        434.89953153436045,
+        454.5956865946046,
+        473.3895390103228,
+        490.71004708601157,
+        509.50389950172973,
+        529.2000545619738,
+        549.2000545619738,
+        568.896209622218,
+        588.896209622218,
+        608.5923646824621,
+        628.5923646824621,
+        648.2885197427062,
+        668.2885197427062,
+        687.9846748029503,
+        706.7785272186685,
+        726.4746822789126,
+        745.2685346946308,
+        762.5890427703196,
+        777.9099316326991,
+        795.2304397083878,
+        810.5513285707674,
+        823.4070807644982,
+        838.7279696268778,
+        851.5837218206086,
+        861.5837218206086,
+        868.424124687122,
+        878.424124687122,
+        885.2645275536354,
+        895.2645275536354,
+        902.1049304201488,
+        912.1049304201488,
+        918.9453332866622,
+        928.9453332866622,
+        935.7857361531755,
+        939.2586997065141,
+        939.2586997065141,
+        942.7316632598527,
+        949.572066126366,
+        953.0450296797046,
+        959.885432546218,
+        963.3583960995566,
+        970.19879896607,
+        980.19879896607,
+        987.0392018325833,
+        990.5121653859219,
+        990.5121653859219,
+        993.9851289392604,
+        1000.8255318057738,
+        1010.8255318057738,
+        1023.6812839995047,
+        1039.0021728618842,
+        1056.322680937573,
+        1075.1165333532913,
+        1092.4370414289801,
+        1107.7579302913598,
+        1125.0784383670486,
+        1143.8722907827669,
+        1161.1927988584557,
+        1179.986651274174,
+        1199.682806334418,
+        1219.682806334418,
+        1239.3789613946622,
+        1259.3789613946622,
+        1279.0751164549063,
+        1299.0751164549063,
+        1318.7712715151504,
+        1337.5651239308686,
+        1357.2612789911127,
+        1377.2612789911127,
+        1396.9574340513568,
+        1415.751286467075,
+        1433.0717945427639,
+        1448.3926834051435,
+        1465.7131914808324,
+        1481.034080343212,
+        1498.354588418901,
+        1513.6754772812806,
+        1526.5312294750113,
+        1541.852118337391,
+        1554.7078705311217,
+        1564.7078705311217,
+        1577.5636227248524,
+        1587.5636227248524,
+        1594.4040255913658,
+        1597.8769891447043,
+        1604.7173920112177,
+        1608.1903555645563,
+        1615.0307584310697,
+        1618.5037219844082,
+        1625.3441248509216,
+        1628.8170884042602,
+        1628.8170884042602,
+        1625.3441248509216,
+        1618.5037219844082,
+        1615.0307584310697,
+        1608.1903555645563,
+        1598.1903555645563,
+        1591.349952698043,
+        1581.349952698043,
+        1574.5095498315295,
+        1564.5095498315295,
+        1551.6537976377988,
+        1541.6537976377988,
+        1528.798045444068,
+        1513.4771565816884,
+        1500.6214043879577,
+        1485.300515525578,
+        1467.9800074498892,
+        1452.6591185875095,
+        1435.3386105118207,
+        1416.5447580961024,
+        1399.2242500204136,
+        1380.4303976046954,
+        1360.7342425444513,
+        1340.7342425444513,
+        1321.0380874842072,
+        1301.0380874842072,
+        1281.341932423963,
+        1261.341932423963,
+        1241.645777363719,
+        1221.645777363719,
+        1201.9496223034748,
+        1181.9496223034748,
+        1162.2534672432307,
+        1143.4596148275125,
+        1126.1391067518236,
+        1110.818217889444,
+        1093.4977098137551,
+        1078.1768209513755,
+        1065.3210687576448,
+        1050.000179895265,
+        1037.1444277015344,
+        1021.8235388391548,
+        1008.967786645424,
+        998.967786645424,
+        986.1120344516933,
+        976.1120344516933,
+        969.2716315851799,
+        959.2716315851799,
+        952.4312287186665,
+        948.9582651653279,
+        942.1178622988145,
+        938.644898745476,
+        938.644898745476,
+        935.1719351921374,
+        935.1719351921374,
+        931.6989716387989,
+        931.6989716387989,
+        928.2260080854603,
+        928.2260080854603,
+        924.7530445321217,
+        917.9126416656084,
+        907.9126416656084,
+        895.0568894718776,
+        885.0568894718776,
+        872.2011372781469,
+        856.8802484157674,
+        844.0244962220365,
+        834.0244962220365,
+        821.1687440283058,
+        805.8478551659263,
+        788.5273470902375,
+        769.7334946745193,
+        752.4129865988306,
+        737.092097736451,
+        719.7715896607623,
+        700.9777372450441,
+        683.6572291693553,
+        664.8633767536371,
+        645.167221693393,
+        625.167221693393,
+        605.4710666331489,
+        586.6772142174307,
+        566.9810591571866,
+        546.9810591571866,
+        527.2849040969425,
+        508.4910516812243,
+        491.1705436055355,
+        472.37669118981734,
+        455.05618311412854,
+        436.2623306984104,
+        418.9418226227216,
+        403.62093376034204,
+        386.30042568465325,
+        367.5065732689351,
+        350.1860651932463,
+        334.86517633086675,
+        322.00942413713597,
+        306.6885352747564,
+        293.83278308102564,
+        283.83278308102564,
+        276.99238021451225,
+        266.99238021451225,
+        260.15197734799887,
+        256.67901379466025,
+        249.8386109281469,
+        239.83861092814692,
+        232.99820806163356,
+        229.52524450829497,
+        222.68484164178162,
+        219.21187808844303,
+        219.21187808844303,
+        222.68484164178165,
+        229.52524450829503,
+        232.99820806163365,
+        239.83861092814703,
+        243.31157448148565,
+        250.15197734799904,
+        253.62494090133765,
+        260.46534376785104,
+        270.46534376785104,
+        283.3210959615818,
+        298.64198482396137,
+        311.49773701769215,
+        321.49773701769215,
+        334.3534892114229,
+        349.6743780738025,
+        366.99488614949126,
+        385.7887385652094,
+        403.1092466408982,
+        418.43013550327777,
+        435.75064357896656,
+        454.5444959946847,
+        474.2406510549289,
+        493.03450347064705,
+        510.35501154633585,
+        529.1488639620541,
+        548.8450190222982,
+        568.8450190222982,
+        588.5411740825423,
+        608.5411740825423,
+        628.2373291427864,
+        647.0311815585046,
+        666.7273366187487,
+        685.5211890344669,
+        705.217344094711,
+        725.217344094711,
+        744.9134991549552,
+        763.7073515706734,
+        781.0278596463621,
+        796.3487485087417,
+        809.2045007024725,
+        819.2045007024725,
+        832.0602528962033,
+        842.0602528962033,
+        854.9160050899342,
+        864.9160050899342,
+        877.771757283665,
+        893.0926461460446,
+        905.9483983397754,
+        915.9483983397754,
+        922.7888012062888,
+        926.2617647596273,
+        926.2617647596273,
+        929.7347283129659,
+        929.7347283129659,
+        933.2076918663045,
+        940.0480947328178,
+        943.5210582861564,
+        943.5210582861564,
+        946.994021839495,
+        953.8344247060083,
+        963.8344247060083,
+        970.6748275725217,
+        974.1477911258603,
+        980.9881939923737,
+        990.9881939923737,
+        997.8285968588871,
+        1007.8285968588871,
+        1020.6843490526179,
+        1036.0052379149975,
+        1048.8609901087282,
+        1058.8609901087282,
+        1071.716742302459,
+        1087.0376311648386,
+        1104.3581392405274,
+        1123.1519916562456,
+        1140.4724997319345,
+        1159.2663521476527,
+        1178.9625072078968,
+        1198.9625072078968,
+        1218.658662268141,
+        1238.658662268141,
+        1258.354817328385,
+        1278.354817328385,
+        1298.0509723886291,
+        1318.0509723886291,
+        1337.7471274488732,
+        1356.5409798645915,
+        1373.8614879402803,
+        1392.6553403559985,
+        1412.3514954162426,
+        1431.1453478319609,
+        1448.4658559076497,
+        1467.259708323368,
+        1484.5802163990568,
+        1499.9011052614364,
+        1512.7568574551672,
+        1522.7568574551672,
+        1535.612609648898,
+        1545.612609648898,
+        1558.4683618426286,
+        1568.4683618426286,
+        1581.3241140363593,
+        1591.3241140363593,
+        1598.1645169028727,
+        1601.6374804562113,
+        1608.4778833227247,
+        1611.9508468760632,
+        1611.9508468760632,
+        1615.4238104294018,
+        1615.4238104294018,
+        1618.8967739827403,
+        1618.8967739827403,
+        1615.4238104294018,
+        1608.5834075628884,
+        1605.1104440095498,
+        1598.2700411430365,
+        1588.2700411430365,
+        1575.4142889493057,
+        1565.4142889493057,
+        1558.5738860827923,
+        1548.5738860827923,
+        1535.7181338890616,
+        1520.397245026682,
+        1507.5414928329512,
+        1492.2206039705716,
+        1479.3648517768409,
+        1464.0439629144612,
+        1446.7234548387723,
+        1427.9296024230541,
+        1410.6090943473653,
+        1391.815241931647,
+        1372.119086871403,
+        1353.3252344556847,
+        1333.6290793954406,
+        1313.6290793954406,
+        1293.9329243351965,
+        1273.9329243351965,
+        1254.2367692749524,
+        1234.2367692749524,
+        1214.5406142147083,
+        1195.74676179899,
+        1176.050606738746,
+        1157.2567543230277,
+        1139.9362462473389,
+        1121.1423938316207,
+        1103.8218857559318,
+        1085.0280333402136,
+        1067.7075252645247,
+        1052.386636402145,
+        1039.5308842084144,
+        1024.2099953460347,
+        1011.354243152304,
+        1001.354243152304,
+        994.5138402857906,
+        984.5138402857906,
+        977.6734374192772,
+        967.6734374192772,
+        960.8330345527638,
+        957.3600709994253,
+        950.5196681329119,
+        947.0467045795733,
+        940.2063017130599,
+        936.7333381597214,
+        936.7333381597214,
+        933.2603746063828,
+        933.2603746063828,
+        929.7874110530443,
+        922.9470081865309,
+        912.9470081865309,
+        906.1066053200175,
+        902.6336417666789,
+        895.7932389001655,
+        892.320275346827,
+        885.4798724803136,
+        875.4798724803136,
+        862.6241202865829,
+        847.3032314242033,
+        829.9827233485146,
+        814.661834486135,
+        797.3413264104463,
+        782.0204375480668,
+        764.699929472378,
+        749.3790406099985,
+        732.0585325343097,
+        713.2646801185915,
+        693.5685250583474,
+        674.7746726426292,
+        657.4541645669404,
+        638.6603121512222,
+        618.9641570909781,
+        598.9641570909781,
+        579.268002030734,
+        559.268002030734,
+        539.5718469704899,
+        520.7779945547717,
+        501.0818394945275,
+        481.0818394945275,
+        461.38568443428335,
+        442.5918320185652,
+        425.2713239428764,
+        409.95043508049685,
+        392.62992700480805,
+        377.3090381424285,
+        359.9885300667397,
+        344.66764120436017,
+        331.8118890106294,
+        316.49100014824984,
+        303.63524795451906,
+        293.63524795451906,
+        280.7794957607883,
+        270.7794957607883,
+        257.9237435670575,
+        247.92374356705753,
+        241.08334070054417,
+        237.61037714720558,
+        237.61037714720558,
+        234.137413593867,
+        227.29701072735364,
+        223.82404717401505,
+        223.82404717401505,
+        227.29701072735367,
+        227.29701072735367,
+        230.76997428069228,
+        230.76997428069228,
+        234.2429378340309,
+        241.08334070054428,
+        251.08334070054428,
+        257.92374356705767,
+        267.92374356705767,
+        274.76414643357106,
+        284.76414643357106,
+        297.61989862730184,
+        312.9407874896814,
+        325.79653968341216,
+        335.79653968341216,
+        348.65229187714294,
+        363.9731807395225,
+        381.2936888152113,
+        400.08754123092945,
+        417.40804930661824,
+        436.2019017223364,
+        453.5224097980252,
+        472.31626221374336,
+        492.0124172739875,
+        512.0124172739875,
+        531.7085723342316,
+        551.7085723342316,
+        571.4047273944757,
+        591.4047273944757,
+        611.1008824547198,
+        631.1008824547198,
+        650.7970375149639,
+        669.5908899306821,
+        689.2870449909262,
+        708.0808974066445,
+        727.7770524668886,
+        746.5709048826068,
+        763.8914129582955,
+        779.2123018206751,
+        796.5328098963638,
+        811.8536987587433,
+        824.7094509524742,
+        840.0303398148537,
+        852.8860920085846,
+        868.2069808709641,
+        881.062733064695,
+        891.062733064695,
+        897.9031359312083,
+        901.3760994845469,
+        908.2165023510603,
+        918.2165023510603,
+        925.0569052175737,
+        935.0569052175737,
+        941.8973080840871,
+        945.3702716374256,
+        952.210674503939,
+        955.6836380572776,
+        955.6836380572776,
+        952.210674503939,
+        952.210674503939,
+        955.6836380572776,
+        962.524040923791,
+        972.524040923791,
+        979.3644437903043,
+        982.8374073436429,
+        989.6778102101563,
+        999.6778102101563,
+        1012.5335624038871,
+        1022.5335624038871,
+        1035.3893145976178,
+        1050.7102034599975,
+        1063.5659556537282,
+        1078.8868445161079,
+        1096.2073525917967,
+        1111.5282414541764,
+        1128.8487495298652,
+        1147.6426019455835,
+        1167.3387570058276,
+        1187.3387570058276,
+        1207.0349120660717,
+        1225.82876448179,
+        1245.524919542034,
+        1265.524919542034,
+        1285.2210746022781,
+        1305.2210746022781,
+        1324.9172296625222,
+        1344.9172296625222,
+        1364.6133847227663,
+        1383.4072371384846,
+        1400.7277452141734,
+        1419.5215976298916,
+        1436.8421057055805,
+        1455.6359581212987,
+        1472.9564661969875,
+        1488.2773550593672,
+        1505.597863135056,
+        1520.9187519974357,
+        1533.7745041911664,
+        1549.095393053546,
+        1561.9511452472768,
+        1571.9511452472768,
+        1578.7915481137902,
+        1588.7915481137902,
+        1595.6319509803036,
+        1605.6319509803036,
+        1612.472353846817,
+        1615.9453174001555,
+        1622.785720266669,
+        1626.2586838200075,
+        1626.2586838200075,
+        1622.785720266669,
+        1622.785720266669,
+        1619.3127567133304,
+        1619.3127567133304,
+        1615.8397931599918,
+        1608.9993902934784,
+        1605.5264267401399,
+        1598.6860238736265,
+        1588.6860238736265,
+        1581.845621007113,
+        1571.845621007113,
+        1558.9898688133824,
+        1548.9898688133824,
+        1536.1341166196516,
+        1520.813227757272,
+        1503.4927196815831,
+        1488.1718308192035,
+        1470.8513227435146,
+        1455.530433881135,
+        1438.2099258054461,
+        1419.416073389728,
+        1402.095565314039,
+        1383.3017128983208,
+        1363.6055578380767,
+        1343.6055578380767,
+        1323.9094027778326,
+        1303.9094027778326,
+        1284.2132477175885,
+        1264.2132477175885,
+        1244.5170926573444,
+        1225.7232402416262,
+        1206.027085181382,
+        1187.2332327656638,
+        1167.5370777054197,
+        1148.7432252897015,
+        1129.0470702294574,
+        1110.2532178137392,
+        1092.9327097380503,
+        1077.6118208756707,
+        1064.75606868194,
+        1049.4351798195603,
+        1036.5794276258296,
+        1026.5794276258296,
+        1013.7236754320988,
+        1003.7236754320988,
+        990.8679232383681,
+        980.8679232383681,
+        974.0275203718547,
+        970.5545568185162,
+        963.7141539520028,
+        953.7141539520028,
+        946.8737510854894,
+        943.4007875321508,
+        943.4007875321508,
+        939.9278239788123,
+        933.0874211122989,
+        929.6144575589603,
+        922.774054692447,
+        919.3010911391084,
+        919.3010911391084,
+        915.8281275857698,
+        908.9877247192564,
+        905.5147611659179,
+        898.6743582994045,
+        888.6743582994045,
+        875.8186061056738,
+        860.4977172432942,
+        847.6419650495634,
+        837.6419650495634,
+        824.7862128558327,
+        809.4653239934531,
+        796.6095717997223,
+        781.2886829373427,
+        763.968174861654,
+        745.1743224459358,
+        727.853814370247,
+        709.0599619545288,
+        689.3638068942847,
+        669.3638068942847,
+        649.6676518340406,
+        629.6676518340406,
+        609.9714967737965,
+        591.1776443580783,
+        571.4814892978342,
+        551.4814892978342,
+        531.7853342375901,
+        512.9914818218718,
+        495.67097374618305,
+        476.8771213304649,
+        459.5566132547761,
+        440.76276083905793,
+        421.06660577881377,
+        402.2727533630956,
+        384.9522452874068,
+        366.15839287168865,
+        348.83788479599986,
+        333.5169959336203,
+        320.6612437398895,
+        310.6612437398895,
+        297.80549154615875,
+        287.80549154615875,
+        274.94973935242797,
+        264.94973935242797,
+        258.1093364859146,
+        248.1093364859146,
+        241.26893361940125,
+        237.79597006606267,
+        237.79597006606267,
+        234.32300651272408,
+        227.48260364621072,
+        224.00964009287213,
+        217.16923722635877,
+        213.6962736730202,
+        213.6962736730202,
+        217.1692372263588,
+        224.0096400928722,
+        227.4826036462108,
+        234.3230065127242,
+        244.3230065127242,
+        251.16340937923758,
+        261.1634093792376,
+        268.00381224575096,
+        278.00381224575096,
+        290.85956443948174,
+        306.1804533018613,
+        319.03620549559207,
+        334.3570943579716,
+        351.6776024336604,
+        366.99849129603996,
+        384.31899937172875,
+        403.1128517874469,
+        420.4333598631357,
+        439.22721227885387,
+        456.54772035454266,
+        471.8686092169222,
+        489.189117292611,
+        507.98296970832916,
+        527.6791247685733,
+        547.6791247685733,
+        567.3752798288174,
+        587.3752798288174,
+        607.0714348890615,
+        625.8652873047797,
+        645.5614423650238,
+        664.355294780742,
+        684.0514498409862,
+        704.0514498409862,
+        723.7476049012303,
+        742.5414573169485,
+        759.8619653926372,
+        775.1828542550168,
+        788.0386064487476,
+        803.3594953111271,
+        816.215247504858,
+        831.5361363672375,
+        848.8566444429263,
+        864.1775333053058,
+        877.0332854990367,
+        887.0332854990367,
+        893.87368836555,
+        897.3466519188886,
+        904.187054785402,
+        914.187054785402,
+        921.0274576519154,
+        924.5004212052539,
+        931.3408240717673,
+        934.8137876251059,
+        941.6541904916193,
+        951.6541904916193,
+        958.4945933581326,
+        961.9675569114712,
+        961.9675569114712,
+        965.4405204648098,
+        965.4405204648098,
+        968.9134840181483,
+        975.7538868846617,
+        985.7538868846617,
+        992.5942897511751,
+        1002.5942897511751,
+        1009.4346926176885,
+        1019.4346926176885,
+        1032.2904448114193,
+        1047.611333673799,
+        1060.4670858675297,
+        1075.7879747299094,
+        1093.1084828055982,
+        1111.9023352213164,
+        1129.2228432970053,
+        1148.0166957127235,
+        1165.3372037884124,
+        1184.1310562041306,
+        1203.8272112643747,
+        1223.8272112643747,
+        1243.5233663246188,
+        1263.5233663246188,
+        1283.219521384863,
+        1303.219521384863,
+        1322.915676445107,
+        1342.915676445107,
+        1362.6118315053511,
+        1381.4056839210693,
+        1398.7261919967582,
+        1417.5200444124764,
+        1434.8405524881653,
+        1450.161441350545,
+        1467.4819494262338,
+        1482.8028382886134,
+        1500.1233463643023,
+        1515.444235226682,
+        1528.2999874204127,
+        1538.2999874204127,
+        1551.1557396141434,
+        1561.1557396141434,
+        1574.011491807874,
+        1584.011491807874,
+        1590.8518946743875,
+        1600.8518946743875,
+        1607.6922975409009,
+        1611.1652610942394,
+        1611.1652610942394,
+        1614.638224647578,
+        1621.4786275140914,
+        1624.95159106743,
+        1624.95159106743,
+        1621.4786275140914,
+        1614.638224647578,
+        1611.1652610942394,
+        1604.324858227726,
+        1600.8518946743875,
+        1594.011491807874,
+        1584.011491807874,
+        1577.1710889413607
+    ],
+    "y": [
+        889,
+        889,
+        889,
+        892.4729635533386,
+        892.4729635533386,
+        892.4729635533386,
+        889.0,
+        882.1595971334866,
+        872.1595971334866,
+        859.3038449397558,
+        843.9829560773762,
+        831.1272038836454,
+        821.1272038836454,
+        808.2714516899146,
+        798.2714516899146,
+        785.4156994961837,
+        770.0948106338042,
+        757.2390584400733,
+        741.9181695776938,
+        724.597661502005,
+        709.2767726396255,
+        691.9562645639368,
+        673.1624121482186,
+        655.8419040725298,
+        637.0480516568116,
+        617.3518965965675,
+        598.5580441808493,
+        578.8618891206052,
+        560.0680367048869,
+        540.3718816446428,
+        521.5780292289246,
+        504.2575211532358,
+        485.46366873751765,
+        465.7675136772735,
+        445.7675136772735,
+        426.0713586170293,
+        406.0713586170293,
+        386.37520355678515,
+        367.581351141067,
+        350.2608430653782,
+        334.93995420299865,
+        317.61944612730986,
+        298.8255937115917,
+        281.5050856359029,
+        266.18419677352335,
+        253.32844457979257,
+        243.32844457979257,
+        230.4726923860618,
+        220.4726923860618,
+        213.6322895195484,
+        203.6322895195484,
+        196.79188665303502,
+        186.79188665303502,
+        179.95148378652164,
+        176.47852023318302,
+        176.47852023318302,
+        173.0055566798444,
+        173.0055566798444,
+        169.5325931265058,
+        169.5325931265058,
+        173.00555667984437,
+        173.00555667984437,
+        176.47852023318296,
+        183.31892309969635,
+        186.79188665303494,
+        193.63228951954832,
+        203.63228951954832,
+        216.4880417132791,
+        226.4880417132791,
+        239.34379390700988,
+        254.66468276938943,
+        267.52043496312024,
+        282.8413238254998,
+        300.1618319011886,
+        315.4827207635681,
+        328.3384729572989,
+        343.65936181967845,
+        360.97986989536724,
+        379.7737223110854,
+        397.0942303867742,
+        415.88808280249236,
+        433.20859087818116,
+        452.0024432938993,
+        471.6985983541435,
+        491.6985983541435,
+        511.39475341438765,
+        531.3947534143877,
+        551.0909084746318,
+        571.0909084746318,
+        590.7870635348759,
+        609.5809159505941,
+        626.9014240262828,
+        645.695276442001,
+        665.3914315022452,
+        684.1852839179634,
+        701.5057919936521,
+        716.8266808560317,
+        729.6824330497625,
+        739.6824330497625,
+        752.5381852434932,
+        767.8590741058728,
+        780.7148262996036,
+        790.7148262996036,
+        797.555229166117,
+        807.555229166117,
+        820.4109813598477,
+        830.4109813598477,
+        837.2513842263611,
+        840.7243477796997,
+        847.564750646213,
+        851.0377141995516,
+        851.0377141995516,
+        854.5106777528902,
+        854.5106777528902,
+        851.0377141995516,
+        851.0377141995516,
+        847.564750646213,
+        840.7243477796997,
+        837.2513842263611,
+        830.4109813598477,
+        826.9380178065092,
+        820.0976149399958,
+        810.0976149399958,
+        797.2418627462649,
+        781.9209738838854,
+        764.6004658081966,
+        749.2795769458171,
+        736.4238247520863,
+        721.1029358897067,
+        708.2471836959759,
+        692.9262948335963,
+        675.6057867579076,
+        656.8119343421894,
+        639.4914262665006,
+        620.6975738507824,
+        601.0014187905383,
+        581.0014187905383,
+        561.3052637302942,
+        541.3052637302942,
+        521.6091086700501,
+        502.8152562543319,
+        483.11910119408776,
+        463.11910119408776,
+        443.4229461338436,
+        424.62909371812543,
+        404.93293865788127,
+        384.93293865788127,
+        365.2367835976371,
+        346.44293118191894,
+        329.12242310623014,
+        313.8015342438506,
+        300.9457820501198,
+        285.62489318774027,
+        268.3043851120515,
+        252.9834962496719,
+        240.1277440559411,
+        230.12774405594112,
+        223.28734118942776,
+        213.2873411894278,
+        206.44693832291443,
+        196.44693832291446,
+        183.59118612918365,
+        173.59118612918368,
+        166.75078326267032,
+        163.27781970933174,
+        156.43741684281838,
+        152.9644532894798,
+        152.9644532894798,
+        156.4374168428184,
+        156.4374168428184,
+        159.91038039615702,
+        166.7507832626704,
+        170.22374681600903,
+        170.22374681600903,
+        173.69671036934764,
+        180.53711323586103,
+        190.53711323586103,
+        203.3928654295918,
+        213.3928654295918,
+        226.2486176233226,
+        236.2486176233226,
+        249.10436981705337,
+        259.10436981705334,
+        271.9601220107841,
+        287.28101087316367,
+        304.60151894885246,
+        319.922407811232,
+        337.2429158869208,
+        356.03676830263896,
+        373.35727637832775,
+        392.1511287940459,
+        411.8472838542901,
+        430.64113627000825,
+        447.96164434569704,
+        466.7554967614152,
+        486.45165182165937,
+        506.45165182165937,
+        526.1478068819035,
+        544.9416592976218,
+        564.6378143578659,
+        583.4316667735841,
+        603.1278218338282,
+        621.9216742495464,
+        641.6178293097905,
+        660.4116817255087,
+        677.7321898011975,
+        696.5260422169157,
+        713.8465502926044,
+        729.167439154984,
+        742.0231913487148,
+        757.3440802110944,
+        770.1998324048252,
+        780.1998324048252,
+        793.055584598556,
+        803.055584598556,
+        809.8959874650694,
+        819.8959874650694,
+        832.7517396588003,
+        842.7517396588003,
+        849.5921425253136,
+        853.0651060786522,
+        853.0651060786522,
+        856.5380696319908,
+        863.3784724985042,
+        866.8514360518427,
+        866.8514360518427,
+        863.3784724985042,
+        863.3784724985042,
+        859.9055089451656,
+        859.9055089451656,
+        856.432545391827,
+        849.5921425253136,
+        839.5921425253136,
+        826.7363903315828,
+        816.7363903315828,
+        803.880638137852,
+        793.880638137852,
+        781.0248859441211,
+        771.0248859441211,
+        758.1691337503903,
+        742.8482448880108,
+        725.527736812322,
+        710.2068479499425,
+        692.8863398742537,
+        674.0924874585355,
+        656.7719793828468,
+        637.9781269671286,
+        618.2819719068845,
+        599.4881194911662,
+        582.1676114154775,
+        563.3737589997593,
+        543.6776039395152,
+        523.6776039395152,
+        503.981448879271,
+        483.981448879271,
+        464.28529381902683,
+        445.49144140330867,
+        428.1709333276199,
+        409.3770809119017,
+        392.0565728362129,
+        373.26272042049476,
+        353.5665653602506,
+        334.77271294453243,
+        317.45220486884364,
+        302.1313160064641,
+        284.8108079307753,
+        269.48991906839575,
+        256.63416687466497,
+        241.31327801228542,
+        228.45752581855464,
+        218.45752581855464,
+        211.61712295204126,
+        201.61712295204126,
+        194.77672008552787,
+        184.77672008552787,
+        177.93631721901448,
+        174.46335366567587,
+        174.46335366567587,
+        170.99039011233725,
+        170.99039011233725,
+        174.46335366567584,
+        174.46335366567584,
+        170.99039011233722,
+        170.99039011233722,
+        174.4633536656758,
+        181.3037565321892,
+        191.3037565321892,
+        198.14415939870258,
+        208.14415939870258,
+        214.98456226521597,
+        224.98456226521597,
+        237.84031445894675,
+        247.84031445894675,
+        260.69606665267753,
+        276.0169555150571,
+        288.87270770878786,
+        304.1935965711674,
+        321.5141046468562,
+        340.30795706257436,
+        357.62846513826315,
+        376.4223175539813,
+        396.1184726142255,
+        414.91232502994364,
+        434.6084800901878,
+        453.402332505906,
+        473.09848756615014,
+        493.09848756615014,
+        512.7946426263943,
+        532.7946426263943,
+        552.4907976866384,
+        572.4907976866384,
+        592.1869527468825,
+        610.9808051626007,
+        628.3013132382895,
+        647.0951656540077,
+        664.4156737296964,
+        683.2095261454147,
+        700.5300342211034,
+        719.3238866368216,
+        736.6443947125103,
+        751.9652835748899,
+        764.8210357686207,
+        774.8210357686207,
+        781.6614386351341,
+        791.6614386351341,
+        804.5171908288648,
+        814.5171908288648,
+        821.3575936953782,
+        831.3575936953782,
+        838.1979965618916,
+        848.1979965618916,
+        855.038399428405,
+        858.5113629817436,
+        858.5113629817436,
+        855.038399428405,
+        855.038399428405,
+        851.5654358750664,
+        851.5654358750664,
+        848.0924723217279,
+        841.2520694552145,
+        831.2520694552145,
+        824.4116665887011,
+        814.4116665887011,
+        807.5712637221877,
+        797.5712637221877,
+        790.7308608556743,
+        780.7308608556743,
+        767.8751086619435,
+        752.554219799564,
+        735.2337117238752,
+        719.9128228614957,
+        707.0570706677648,
+        691.7361818053853,
+        674.4156737296966,
+        655.6218213139783,
+        635.9256662537342,
+        617.131813838016,
+        597.4356587777719,
+        577.4356587777719,
+        557.7395037175278,
+        538.9456513018096,
+        519.2494962415655,
+        500.4556438258473,
+        480.7594887656031,
+        460.7594887656031,
+        441.06333370535896,
+        421.06333370535896,
+        401.3671786451148,
+        382.5733262293966,
+        365.25281815370784,
+        346.4589657379897,
+        329.1384576623009,
+        313.81756879992133,
+        300.96181660619055,
+        290.96181660619055,
+        278.1060644124598,
+        262.7851755500802,
+        245.46466747439146,
+        230.1437786120119,
+        217.28802641828108,
+        207.2880264182811,
+        194.4322742245503,
+        184.43227422455033,
+        177.59187135803697,
+        174.11890780469838,
+        167.27850493818502,
+        163.80554138484644,
+        163.80554138484644,
+        160.33257783150785,
+        160.33257783150785,
+        156.85961427816926,
+        156.85961427816926,
+        160.33257783150788,
+        160.33257783150788,
+        163.8055413848465,
+        170.64594425135988,
+        180.64594425135988,
+        187.48634711787327,
+        190.95931067121188,
+        197.79971353772527,
+        207.79971353772527,
+        220.65546573145605,
+        235.9763545938356,
+        248.83210678756637,
+        264.1529956499459,
+        277.0087478436767,
+        292.32963670605625,
+        309.65014478174504,
+        324.9710336441246,
+        342.2915417198134,
+        361.08539413553154,
+        378.40590221122034,
+        393.7267910735999,
+        411.0472991492887,
+        429.84115156500684,
+        449.537306625251,
+        469.537306625251,
+        489.2334616854952,
+        509.2334616854952,
+        528.9296167457393,
+        547.7234691614575,
+        567.4196242217016,
+        586.2134766374198,
+        605.9096316976639,
+        625.9096316976639,
+        645.605786757908,
+        664.3996391736263,
+        681.720147249315,
+        697.0410361116946,
+        714.3615441873833,
+        729.6824330497628,
+        742.5381852434937,
+        757.8590741058732,
+        775.179582181562,
+        790.5004710439415,
+        803.3562232376723,
+        813.3562232376723,
+        820.1966261041857,
+        830.1966261041857,
+        837.0370289706991,
+        840.5099925240377,
+        847.3503953905511,
+        857.3503953905511,
+        864.1907982570644,
+        867.663761810403,
+        867.663761810403,
+        864.1907982570644,
+        864.1907982570644,
+        860.7178347037259,
+        860.7178347037259,
+        857.2448711503873,
+        857.2448711503873,
+        853.7719075970488,
+        846.9315047305354,
+        843.4585411771968,
+        836.6181383106834,
+        826.6181383106834,
+        813.7623861169526,
+        803.7623861169526,
+        790.9066339232218,
+        775.5857450608422,
+        762.7299928671114,
+        747.4091040047318,
+        730.0885959290431,
+        711.2947435133249,
+        693.9742354376361,
+        675.1803830219179,
+        657.8598749462292,
+        639.066022530511,
+        621.7455144548222,
+        602.951662039104,
+        585.6311539634153,
+        566.837301547697,
+        547.1411464874529,
+        527.1411464874529,
+        507.4449914272088,
+        488.6511390114906,
+        468.95498395124645,
+        450.1611315355283,
+        430.4649764752841,
+        411.67112405956595,
+        394.35061598387716,
+        375.556763568159,
+        355.86060850791483,
+        335.86060850791483,
+        316.16445344767067,
+        297.3706010319525,
+        280.0500929562637,
+        264.72920409388416,
+        251.87345190015338,
+        241.87345190015338,
+        235.03304903364,
+        225.03304903364,
+        212.17729683990922,
+        202.17729683990922,
+        195.33689397339583,
+        185.33689397339583,
+        178.49649110688244,
+        175.02352755354383,
+        175.02352755354383,
+        171.5505640002052,
+        171.5505640002052,
+        168.0776004468666,
+        168.0776004468666,
+        171.55056400020518,
+        178.39096686671857,
+        181.86393042005716,
+        181.86393042005716,
+        185.33689397339575,
+        192.17729683990913,
+        202.17729683990913,
+        215.0330490336399,
+        225.0330490336399,
+        237.8888012273707,
+        247.8888012273707,
+        260.7445534211015,
+        276.06544228348105,
+        288.9211944772118,
+        304.2420833395914,
+        321.56259141528017,
+        336.8834802776597,
+        354.2039883533485,
+        372.99784076906667,
+        392.69399582931084,
+        411.487848245029,
+        431.18400330527317,
+        449.97785572099133,
+        469.6740107812355,
+        488.46786319695366,
+        508.1640182571978,
+        528.1640182571978,
+        547.8601733174419,
+        566.6540257331601,
+        586.3501807934042,
+        605.1440332091224,
+        622.4645412848112,
+        641.2583937005294,
+        658.5789017762181,
+        677.3727541919363,
+        694.6932622676251,
+        710.0141511300046,
+        727.3346592056934,
+        742.6555480680729,
+        755.5113002618036,
+        770.8321891241832,
+        783.687941317914,
+        793.687941317914,
+        806.5436935116447,
+        816.5436935116447,
+        823.3840963781581,
+        833.3840963781581,
+        840.2244992446715,
+        843.6974627980101,
+        843.6974627980101,
+        847.1704263513486,
+        847.1704263513486,
+        843.6974627980101,
+        843.6974627980101,
+        840.2244992446715,
+        840.2244992446715,
+        843.6974627980101,
+        843.6974627980101,
+        840.2244992446715,
+        833.3840963781581,
+        823.3840963781581,
+        810.5283441844273,
+        800.5283441844273,
+        787.6725919906964,
+        772.3517031283169,
+        759.4959509345861,
+        744.1750620722065,
+        731.3193098784757,
+        715.9984210160961,
+        698.6779129404074,
+        683.3570240780278,
+        666.0365160023391,
+        647.2426635866209,
+        629.9221555109322,
+        611.1283030952139,
+        591.4321480349698,
+        572.6382956192516,
+        552.9421405590075,
+        532.9421405590075,
+        513.2459854987634,
+        493.2459854987634,
+        473.5498304385192,
+        453.5498304385192,
+        433.85367537827506,
+        413.85367537827506,
+        394.1575203180309,
+        375.3636679023127,
+        358.04315982662393,
+        342.7222709642444,
+        325.4017628885556,
+        310.08087402617605,
+        297.22512183244527,
+        281.9042329700657,
+        264.5837248943769,
+        249.26283603199735,
+        236.40708383826654,
+        226.40708383826657,
+        219.56668097175321,
+        209.56668097175324,
+        196.71092877802243,
+        186.71092877802246,
+        179.8705259115091,
+        169.87052591150913,
+        163.03012304499578,
+        159.5571594916572,
+        159.5571594916572,
+        156.0841959383186,
+        149.24379307180524,
+        145.77082951846666,
+        145.77082951846666,
+        149.24379307180527,
+        156.08419593831866,
+        166.08419593831866,
+        172.92459880483204,
+        182.92459880483204,
+        189.76500167134543,
+        199.76500167134543,
+        212.6207538650762,
+        222.6207538650762,
+        229.4611567315896,
+        239.4611567315896,
+        252.31690892532038,
+        267.6377977876999,
+        280.4935499814307,
+        295.81443884381025,
+        313.13494691949904,
+        331.9287993352172,
+        349.249307410906,
+        368.04315982662416,
+        387.7393148868683,
+        406.5331673025865,
+        423.8536753782753,
+        442.64752779399345,
+        462.3436828542376,
+        481.1375352699558,
+        500.83369033019994,
+        520.8336903301999,
+        540.529845390444,
+        559.3236978061623,
+        579.0198528664064,
+        597.8137052821246,
+        617.5098603423687,
+        636.3037127580869,
+        655.999867818331,
+        674.7937202340493,
+        692.114228309738,
+        707.4351171721175,
+        720.2908693658484,
+        735.6117582282279,
+        752.9322663039167,
+        768.2531551662962,
+        781.108907360027,
+        791.108907360027,
+        797.9493102265404,
+        807.9493102265404,
+        820.8050624202713,
+        830.8050624202713,
+        837.6454652867847,
+        841.1184288401232,
+        847.9588317066366,
+        857.9588317066366,
+        864.79923457315,
+        868.2721981264885,
+        868.2721981264885,
+        864.79923457315,
+        864.79923457315,
+        861.3262710198114,
+        854.485868153298,
+        851.0129045999595,
+        844.1725017334461,
+        840.6995381801075,
+        840.6995381801075,
+        837.226574626769,
+        830.3861717602556,
+        820.3861717602556,
+        807.5304195665248,
+        792.2095307041452,
+        774.8890226284565,
+        759.5681337660769,
+        742.2476256903882,
+        726.9267368280086,
+        709.6062287523199,
+        694.2853398899404,
+        681.4295876962095,
+        666.10869883383,
+        648.7881907581412,
+        629.994338342423,
+        610.2981832821789,
+        590.2981832821789,
+        570.6020282219348,
+        550.6020282219348,
+        530.9058731616907,
+        512.1120207459725,
+        492.4158656857283,
+        472.4158656857283,
+        452.71971062548414,
+        433.925858209766,
+        416.6053501340772,
+        397.811497718359,
+        378.11534265811486,
+        359.3214902423967,
+        342.0009821667079,
+        323.20712975098974,
+        305.88662167530094,
+        290.5657328129214,
+        277.7099806191906,
+        262.38909175681107,
+        245.0685836811223,
+        229.74769481874273,
+        216.89194262501195,
+        206.89194262501195,
+        200.05153975849856,
+        190.05153975849856,
+        183.21113689198518,
+        179.73817333864656,
+        179.73817333864656,
+        176.26520978530795,
+        176.26520978530795,
+        172.79224623196933,
+        172.79224623196933,
+        169.3192826786307,
+        169.3192826786307,
+        172.7922462319693,
+        179.6326490984827,
+        189.6326490984827,
+        196.47305196499607,
+        199.94601551833466,
+        206.78641838484805,
+        216.78641838484805,
+        223.62682125136143,
+        233.62682125136143,
+        246.4825734450922,
+        261.80346230747176,
+        279.12397038316055,
+        294.4448592455401,
+        311.7653673212289,
+        327.08625618360844,
+        344.40676425929723,
+        359.7276531216768,
+        377.0481611973656,
+        395.84201361308374,
+        415.5381686733279,
+        434.33202108904607,
+        454.02817614929023,
+        474.02817614929023,
+        493.7243312095344,
+        513.7243312095344,
+        533.4204862697785,
+        553.4204862697785,
+        573.1166413300226,
+        591.9104937457408,
+        611.606648805985,
+        630.4005012217032,
+        647.7210092973919,
+        663.0418981597714,
+        680.3624062354602,
+        699.1562586511784,
+        716.4767667268671,
+        731.7976555892467,
+        744.6534077829774,
+        759.974296645357,
+        772.8300488390878,
+        788.1509377014673,
+        801.0066898951982,
+        811.0066898951982,
+        817.8470927617116,
+        827.8470927617116,
+        834.687495628225,
+        838.1604591815635,
+        845.0008620480769,
+        848.4738256014155,
+        848.4738256014155,
+        851.946789154754,
+        851.946789154754,
+        848.4738256014155,
+        848.4738256014155,
+        845.0008620480769,
+        838.1604591815635,
+        834.687495628225,
+        827.8470927617116,
+        817.8470927617116,
+        811.0066898951982,
+        801.0066898951982,
+        794.1662870286848,
+        784.1662870286848,
+        771.310534834954,
+        755.9896459725744,
+        743.1338937788436,
+        727.813004916464,
+        710.4924968407753,
+        691.6986444250571,
+        674.3781363493683,
+        655.5842839336501,
+        638.2637758579614,
+        619.4699234422432,
+        599.773768381999,
+        580.9799159662808,
+        561.2837609060367,
+        542.4899084903185,
+        522.7937534300744,
+        502.7937534300744,
+        483.0975983698302,
+        463.0975983698302,
+        443.40144330958606,
+        424.6075908938679,
+        407.2870828181791,
+        388.49323040246094,
+        368.7970753422168,
+        350.0032229264986,
+        330.30706786625444,
+        311.5132154505363,
+        294.1927073748475,
+        278.87181851246794,
+        266.01606631873716,
+        256.01606631873716,
+        243.16031412500635,
+        233.16031412500638,
+        220.30456193127557,
+        210.3045619312756,
+        197.4488097375448,
+        187.44880973754482,
+        180.60840687103146,
+        177.13544331769288,
+        170.29504045117952,
+        160.29504045117955,
+        153.4546375846662,
+        149.9816740313276,
+        149.9816740313276,
+        153.45463758466622,
+        153.45463758466622,
+        156.92760113800483,
+        163.76800400451822,
+        167.24096755785683,
+        167.24096755785683,
+        170.71393111119545,
+        177.55433397770884,
+        187.55433397770884,
+        200.41008617143962,
+        210.41008617143962,
+        223.2658383651704,
+        233.2658383651704,
+        246.12159055890118,
+        261.4424794212807,
+        274.2982316150115,
+        289.61912047739105,
+        306.93962855307984,
+        322.2605174154594,
+        339.5810254911482,
+        354.90191435352773,
+        372.2224224292165,
+        391.0162748449347,
+        410.71242990517885,
+        430.71242990517885,
+        450.408584965423,
+        469.2024373811412,
+        488.89859244138535,
+        508.89859244138535,
+        528.5947475016295,
+        548.5947475016295,
+        568.2909025618736,
+        588.2909025618736,
+        607.9870576221177,
+        626.780910037836,
+        644.1014181135247,
+        662.8952705292429,
+        680.2157786049316,
+        699.0096310206499,
+        716.3301390963386,
+        731.6510279587181,
+        744.506780152449,
+        759.8276690148285,
+        777.1481770905173,
+        792.4690659528968,
+        805.3248181466276,
+        815.3248181466276,
+        822.165221013141,
+        832.165221013141,
+        839.0056238796544,
+        849.0056238796544,
+        855.8460267461678,
+        859.3189902995064,
+        859.3189902995064,
+        862.7919538528449,
+        862.7919538528449,
+        859.3189902995064,
+        859.3189902995064,
+        862.7919538528449,
+        862.7919538528449,
+        859.3189902995064,
+        852.478587432993,
+        849.0056238796544,
+        842.165221013141,
+        838.6922574598025,
+        831.8518545932891,
+        821.8518545932891,
+        808.9961023995583,
+        798.9961023995583,
+        786.1403502058274,
+        770.8194613434479,
+        757.963709149717,
+        742.6428202873375,
+        729.7870680936066,
+        714.4661792312271,
+        697.1456711555384,
+        678.3518187398201,
+        658.655663679576,
+        639.8618112638578,
+        622.5413031881691,
+        603.7474507724509,
+        586.4269426967621,
+        567.6330902810439,
+        547.9369352207998,
+        529.1430828050816,
+        509.4469277448374,
+        489.4469277448374,
+        469.75077268459324,
+        449.75077268459324,
+        430.0546176243491,
+        411.2607652086309,
+        393.9402571329421,
+        375.14640471722396,
+        355.4502496569798,
+        336.65639724126163,
+        319.33588916557284,
+        304.0150003031933,
+        286.6944922275045,
+        271.37360336512495,
+        258.51785117139417,
+        243.19696230901462,
+        230.34121011528384,
+        220.34121011528384,
+        207.48545792155306,
+        197.48545792155306,
+        190.64505505503968,
+        187.17209150170106,
+        187.17209150170106,
+        183.69912794836245,
+        176.85872508184906,
+        173.38576152851044,
+        173.38576152851044,
+        176.85872508184903,
+        176.85872508184903,
+        173.38576152851041,
+        173.38576152851041,
+        176.858725081849,
+        183.6991279483624,
+        193.6991279483624,
+        200.53953081487577,
+        210.53953081487577,
+        217.37993368138916,
+        227.37993368138916,
+        240.23568587511994,
+        250.23568587511994,
+        263.0914380688507,
+        278.41232693123027,
+        291.26807912496105,
+        306.5889679873406,
+        323.9094760630294,
+        342.70332847874755,
+        360.02383655443634,
+        378.8176889701545,
+        396.1381970458433,
+        414.93204946156146,
+        434.6282045218056,
+        453.4220569375238,
+        473.11821199776796,
+        493.11821199776796,
+        512.8143670580121,
+        532.8143670580121,
+        552.5105221182562,
+        572.5105221182562,
+        592.2066771785003,
+        611.0005295942185,
+        630.6966846544626,
+        649.4905370701808,
+        666.8110451458696,
+        685.6048975615878,
+        702.9254056372765,
+        718.2462944996561,
+        735.5668025753448,
+        750.8876914377244,
+        763.7434436314552,
+        773.7434436314552,
+        786.5991958251859,
+        796.5991958251859,
+        809.4549480189166,
+        819.4549480189166,
+        826.29535088543,
+        836.29535088543,
+        843.1357537519434,
+        846.608717305282,
+        846.608717305282,
+        850.0816808586205,
+        850.0816808586205,
+        853.5546444119591,
+        853.5546444119591,
+        850.0816808586205,
+        843.2412779921071,
+        839.7683144387686,
+        832.9279115722552,
+        829.4549480189166,
+        822.6145451524033,
+        819.1415815990647,
+        812.3011787325513,
+        802.3011787325513,
+        789.4454265388205,
+        774.1245376764409,
+        761.2687854827101,
+        745.9478966203305,
+        728.6273885446418,
+        713.3064996822623,
+        695.9859916065735,
+        680.665102744194,
+        663.3445946685052,
+        644.550742252787,
+        624.8545871925429,
+        606.0607347768247,
+        588.740226701136,
+        569.9463742854177,
+        550.2502192251736,
+        530.2502192251736,
+        510.55406416492946,
+        491.7602117492113,
+        472.0640566889671,
+        453.27020427324896,
+        433.5740492130048,
+        413.5740492130048,
+        393.87789415276063,
+        375.08404173704247,
+        355.3878866767983,
+        336.59403426108014,
+        319.27352618539135,
+        303.9526373230118,
+        291.096885129281,
+        275.7759962669015,
+        258.4554881912127,
+        243.1345993288331,
+        230.2788471351023,
+        214.95795827272272,
+        202.1022060789919,
+        192.10220607899194,
+        185.26180321247858,
+        175.2618032124786,
+        168.42140034596525,
+        164.94843679262667,
+        164.94843679262667,
+        161.47547323928808,
+        161.47547323928808,
+        158.0025096859495,
+        151.16210681943613,
+        147.68914326609755,
+        147.68914326609755,
+        151.16210681943616,
+        158.00250968594955,
+        168.00250968594955,
+        174.84291255246293,
+        184.84291255246293,
+        191.68331541897632,
+        195.15627897231494,
+        201.99668183882832,
+        211.99668183882832,
+        218.8370847053417,
+        228.8370847053417,
+        241.6928368990725,
+        257.01372576145206,
+        274.33423383714086,
+        289.6551226995204,
+        306.9756307752092,
+        322.29651963758874,
+        339.61702771327754,
+        358.4108801289957,
+        375.7313882046845,
+        394.52524062040266,
+        414.2213956806468,
+        434.2213956806468,
+        453.917550740891,
+        472.71140315660915,
+        492.4075582168533,
+        511.2014106325715,
+        530.8975656928156,
+        550.8975656928156,
+        570.5937207530598,
+        589.387573168778,
+        609.0837282290221,
+        627.8775806447403,
+        645.198088720429,
+        663.9919411361473,
+        681.312449211836,
+        700.1063016275542,
+        717.426809703243,
+        732.7476985656225,
+        745.6034507593533,
+        760.9243396217329,
+        773.7800918154637,
+        783.7800918154637,
+        796.6358440091946,
+        806.6358440091946,
+        813.476246875708,
+        823.476246875708,
+        830.3166497422213,
+        840.3166497422213,
+        853.1724019359522,
+        863.1724019359522,
+        870.0128048024656,
+        873.4857683558041,
+        873.4857683558041,
+        870.0128048024656,
+        870.0128048024656,
+        866.539841249127,
+        859.6994383826136,
+        856.226474829275,
+        849.3860719627617,
+        845.9131084094231,
+        845.9131084094231,
+        842.4401448560845,
+        835.5997419895712,
+        825.5997419895712,
+        812.7439897958403,
+        797.4231009334608,
+        784.5673487397299,
+        769.2464598773504,
+        756.3907076836196,
+        746.3907076836196,
+        733.5349554898887,
+        718.2140666275092,
+        700.8935585518204,
+        682.0997061361022,
+        662.4035510758581,
+        643.6096986601399,
+        626.2891905844511,
+        607.4953381687329,
+        587.7991831084888,
+        569.0053306927706,
+        549.3091756325265,
+        530.5153232168083,
+        513.1948151411195,
+        494.40096272540137,
+        474.7048076651572,
+        454.7048076651572,
+        435.00865260491304,
+        415.00865260491304,
+        395.3124975446689,
+        376.5186451289507,
+        359.1981370532619,
+        340.40428463754375,
+        323.08377656185496,
+        304.2899241461368,
+        286.969416070448,
+        271.64852720806846,
+        258.7927750143377,
+        243.47188615195813,
+        230.61613395822735,
+        220.61613395822735,
+        213.77573109171396,
+        203.77573109171396,
+        196.93532822520058,
+        186.93532822520058,
+        180.0949253586872,
+        176.62196180534858,
+        176.62196180534858,
+        173.14899825200996,
+        173.14899825200996,
+        169.67603469867134,
+        169.67603469867134,
+        166.20307114533273,
+        166.20307114533273,
+        169.67603469867132,
+        176.5164375651847,
+        186.5164375651847,
+        193.3568404316981,
+        203.3568404316981,
+        216.21259262542887,
+        226.21259262542887,
+        239.06834481915965,
+        249.06834481915965,
+        261.92409701289046,
+        277.24498587527,
+        294.5654939509588,
+        309.88638281333834,
+        327.20689088902714,
+        342.5277797514067,
+        359.8482878270955,
+        378.64214024281364,
+        395.96264831850243,
+        414.7565007342206,
+        434.45265579446476,
+        454.45265579446476,
+        474.1488108547089,
+        492.9426632704271,
+        512.6388183306713,
+        532.6388183306713,
+        552.3349733909154,
+        571.1288258066336,
+        590.8249808668777,
+        609.6188332825959,
+        629.31498834284,
+        648.1088407585582,
+        665.429348834247,
+        684.2232012499652
+    ],
+    "angle": [
+        -10,
+        -10,
+        -10,
+        0,
+        0,
+        10,
+        20,
+        30,
+        40,
+        50,
+        40,
+        30,
+        40,
+        30,
+        40,
+        50,
+        40,
+        50,
+        60,
+        50,
+        60,
+        70,
+        60,
+        70,
+        80,
+        70,
+        80,
+        70,
+        80,
+        70,
+        60,
+        70,
+        80,
+        90,
+        100,
+        90,
+        80,
+        70,
+        60,
+        50,
+        60,
+        70,
+        60,
+        50,
+        40,
+        30,
+        40,
+        30,
+        20,
+        30,
+        20,
+        30,
+        20,
+        10,
+        0,
+        10,
+        0,
+        10,
+        0,
+        -10,
+        0,
+        -10,
+        -20,
+        -10,
+        -20,
+        -30,
+        -40,
+        -30,
+        -40,
+        -50,
+        -40,
+        -50,
+        -60,
+        -50,
+        -40,
+        -50,
+        -60,
+        -70,
+        -60,
+        -70,
+        -60,
+        -70,
+        -80,
+        -90,
+        -100,
+        -90,
+        -100,
+        -90,
+        -100,
+        -110,
+        -120,
+        -110,
+        -100,
+        -110,
+        -120,
+        -130,
+        -140,
+        -150,
+        -140,
+        -130,
+        -140,
+        -150,
+        -160,
+        -150,
+        -140,
+        -150,
+        -160,
+        -170,
+        -160,
+        -170,
+        -180,
+        -170,
+        -180,
+        -190,
+        -180,
+        -190,
+        -200,
+        -190,
+        -200,
+        -190,
+        -200,
+        -210,
+        -220,
+        -230,
+        -240,
+        -230,
+        -220,
+        -230,
+        -220,
+        -230,
+        -240,
+        -250,
+        -240,
+        -250,
+        -260,
+        -270,
+        -260,
+        -270,
+        -260,
+        -250,
+        -260,
+        -270,
+        -260,
+        -250,
+        -260,
+        -270,
+        -260,
+        -250,
+        -240,
+        -230,
+        -220,
+        -230,
+        -240,
+        -230,
+        -220,
+        -210,
+        -200,
+        -210,
+        -200,
+        -210,
+        -220,
+        -210,
+        -200,
+        -190,
+        -200,
+        -190,
+        -180,
+        -170,
+        -180,
+        -170,
+        -160,
+        -170,
+        -180,
+        -170,
+        -160,
+        -150,
+        -140,
+        -150,
+        -140,
+        -150,
+        -140,
+        -150,
+        -140,
+        -130,
+        -120,
+        -130,
+        -120,
+        -110,
+        -120,
+        -110,
+        -100,
+        -110,
+        -120,
+        -110,
+        -100,
+        -90,
+        -80,
+        -70,
+        -80,
+        -70,
+        -80,
+        -70,
+        -80,
+        -70,
+        -60,
+        -70,
+        -60,
+        -50,
+        -40,
+        -50,
+        -40,
+        -30,
+        -40,
+        -30,
+        -20,
+        -30,
+        -40,
+        -30,
+        -20,
+        -10,
+        0,
+        -10,
+        -20,
+        -10,
+        0,
+        10,
+        0,
+        10,
+        0,
+        10,
+        20,
+        30,
+        40,
+        30,
+        40,
+        30,
+        40,
+        30,
+        40,
+        50,
+        60,
+        50,
+        60,
+        70,
+        60,
+        70,
+        80,
+        70,
+        60,
+        70,
+        80,
+        90,
+        100,
+        90,
+        80,
+        70,
+        60,
+        70,
+        60,
+        70,
+        80,
+        70,
+        60,
+        50,
+        60,
+        50,
+        40,
+        50,
+        40,
+        30,
+        20,
+        30,
+        20,
+        30,
+        20,
+        10,
+        0,
+        10,
+        0,
+        -10,
+        0,
+        10,
+        0,
+        -10,
+        -20,
+        -30,
+        -20,
+        -30,
+        -20,
+        -30,
+        -40,
+        -30,
+        -40,
+        -50,
+        -40,
+        -50,
+        -60,
+        -70,
+        -60,
+        -70,
+        -80,
+        -70,
+        -80,
+        -70,
+        -80,
+        -90,
+        -100,
+        -90,
+        -80,
+        -90,
+        -100,
+        -110,
+        -120,
+        -110,
+        -120,
+        -110,
+        -120,
+        -110,
+        -120,
+        -130,
+        -140,
+        -150,
+        -160,
+        -150,
+        -140,
+        -150,
+        -160,
+        -150,
+        -160,
+        -150,
+        -160,
+        -170,
+        -180,
+        -190,
+        -180,
+        -190,
+        -180,
+        -190,
+        -200,
+        -210,
+        -200,
+        -210,
+        -200,
+        -210,
+        -200,
+        -210,
+        -220,
+        -230,
+        -240,
+        -230,
+        -220,
+        -230,
+        -240,
+        -250,
+        -260,
+        -250,
+        -260,
+        -270,
+        -260,
+        -250,
+        -260,
+        -250,
+        -260,
+        -270,
+        -280,
+        -270,
+        -260,
+        -250,
+        -240,
+        -250,
+        -240,
+        -230,
+        -220,
+        -210,
+        -220,
+        -230,
+        -240,
+        -230,
+        -220,
+        -210,
+        -220,
+        -210,
+        -200,
+        -190,
+        -200,
+        -190,
+        -180,
+        -190,
+        -180,
+        -190,
+        -180,
+        -170,
+        -180,
+        -170,
+        -160,
+        -150,
+        -160,
+        -170,
+        -160,
+        -150,
+        -140,
+        -130,
+        -140,
+        -130,
+        -140,
+        -130,
+        -120,
+        -130,
+        -120,
+        -110,
+        -120,
+        -130,
+        -120,
+        -110,
+        -100,
+        -90,
+        -100,
+        -90,
+        -80,
+        -70,
+        -80,
+        -70,
+        -80,
+        -90,
+        -80,
+        -70,
+        -60,
+        -50,
+        -60,
+        -50,
+        -40,
+        -50,
+        -60,
+        -50,
+        -40,
+        -30,
+        -20,
+        -30,
+        -20,
+        -10,
+        -20,
+        -30,
+        -20,
+        -10,
+        0,
+        10,
+        0,
+        10,
+        0,
+        10,
+        0,
+        10,
+        20,
+        10,
+        20,
+        30,
+        40,
+        30,
+        40,
+        50,
+        40,
+        50,
+        60,
+        70,
+        60,
+        70,
+        60,
+        70,
+        60,
+        70,
+        60,
+        70,
+        80,
+        90,
+        80,
+        70,
+        80,
+        70,
+        80,
+        70,
+        60,
+        70,
+        80,
+        90,
+        80,
+        70,
+        60,
+        50,
+        40,
+        30,
+        20,
+        30,
+        40,
+        30,
+        20,
+        30,
+        20,
+        10,
+        0,
+        10,
+        0,
+        10,
+        0,
+        -10,
+        -20,
+        -10,
+        0,
+        -10,
+        -20,
+        -30,
+        -40,
+        -30,
+        -40,
+        -30,
+        -40,
+        -50,
+        -40,
+        -50,
+        -60,
+        -50,
+        -60,
+        -70,
+        -80,
+        -70,
+        -80,
+        -70,
+        -80,
+        -70,
+        -80,
+        -90,
+        -100,
+        -110,
+        -100,
+        -110,
+        -120,
+        -110,
+        -120,
+        -110,
+        -120,
+        -130,
+        -120,
+        -130,
+        -140,
+        -130,
+        -140,
+        -150,
+        -140,
+        -150,
+        -160,
+        -150,
+        -160,
+        -170,
+        -180,
+        -170,
+        -180,
+        -190,
+        -180,
+        -190,
+        -180,
+        -170,
+        -180,
+        -190,
+        -200,
+        -210,
+        -220,
+        -210,
+        -220,
+        -230,
+        -220,
+        -230,
+        -220,
+        -230,
+        -240,
+        -230,
+        -240,
+        -250,
+        -240,
+        -250,
+        -260,
+        -250,
+        -260,
+        -270,
+        -260,
+        -270,
+        -260,
+        -270,
+        -260,
+        -270,
+        -260,
+        -250,
+        -240,
+        -230,
+        -240,
+        -230,
+        -220,
+        -230,
+        -240,
+        -230,
+        -220,
+        -210,
+        -200,
+        -210,
+        -220,
+        -210,
+        -200,
+        -210,
+        -200,
+        -190,
+        -180,
+        -190,
+        -200,
+        -190,
+        -180,
+        -170,
+        -160,
+        -150,
+        -160,
+        -150,
+        -160,
+        -150,
+        -140,
+        -150,
+        -160,
+        -150,
+        -140,
+        -130,
+        -140,
+        -130,
+        -120,
+        -110,
+        -120,
+        -110,
+        -100,
+        -110,
+        -120,
+        -110,
+        -100,
+        -110,
+        -100,
+        -90,
+        -80,
+        -70,
+        -80,
+        -70,
+        -80,
+        -70,
+        -80,
+        -70,
+        -60,
+        -50,
+        -40,
+        -50,
+        -60,
+        -50,
+        -40,
+        -30,
+        -20,
+        -30,
+        -40,
+        -30,
+        -20,
+        -10,
+        -20,
+        -30,
+        -20,
+        -10,
+        0,
+        10,
+        0,
+        10,
+        20,
+        10,
+        20,
+        10,
+        0,
+        10,
+        20,
+        30,
+        40,
+        50,
+        60,
+        50,
+        60,
+        50,
+        60,
+        50,
+        40,
+        50,
+        60,
+        70,
+        80,
+        90,
+        80,
+        90,
+        80,
+        70,
+        80,
+        90,
+        80,
+        70,
+        60,
+        70,
+        80,
+        70,
+        60,
+        70,
+        60,
+        50,
+        40,
+        50,
+        60,
+        50,
+        40,
+        30,
+        20,
+        30,
+        20,
+        10,
+        0,
+        10,
+        0,
+        10,
+        0,
+        10,
+        0,
+        -10,
+        -20,
+        -30,
+        -20,
+        -10,
+        -20,
+        -30,
+        -20,
+        -30,
+        -40,
+        -50,
+        -60,
+        -50,
+        -60,
+        -50,
+        -60,
+        -50,
+        -60,
+        -70,
+        -80,
+        -70,
+        -80,
+        -90,
+        -80,
+        -90,
+        -80,
+        -90,
+        -100,
+        -110,
+        -100,
+        -110,
+        -120,
+        -130,
+        -120,
+        -110,
+        -120,
+        -130,
+        -140,
+        -130,
+        -140,
+        -130,
+        -140,
+        -150,
+        -160,
+        -150,
+        -160,
+        -170,
+        -160,
+        -170,
+        -180,
+        -170,
+        -180,
+        -190,
+        -180,
+        -190,
+        -200,
+        -190,
+        -200,
+        -210,
+        -200,
+        -210,
+        -200,
+        -210,
+        -220,
+        -230,
+        -220,
+        -230,
+        -240,
+        -250,
+        -240,
+        -250,
+        -240,
+        -250,
+        -260,
+        -250,
+        -260,
+        -250,
+        -260,
+        -270,
+        -260,
+        -270,
+        -260,
+        -250,
+        -240,
+        -250,
+        -260,
+        -250,
+        -260,
+        -250,
+        -240,
+        -230,
+        -220,
+        -210,
+        -220,
+        -210,
+        -220,
+        -210,
+        -220,
+        -210,
+        -200,
+        -190,
+        -200,
+        -210,
+        -200,
+        -190,
+        -180,
+        -170,
+        -180,
+        -170,
+        -160,
+        -170,
+        -180,
+        -170,
+        -160,
+        -150,
+        -140,
+        -150,
+        -140,
+        -150,
+        -140,
+        -130,
+        -140,
+        -130,
+        -120,
+        -130,
+        -120,
+        -130,
+        -120,
+        -110,
+        -100,
+        -90,
+        -100,
+        -110,
+        -100,
+        -90,
+        -80,
+        -90,
+        -80,
+        -90,
+        -80,
+        -70,
+        -60,
+        -70,
+        -60,
+        -70,
+        -60,
+        -50,
+        -40,
+        -50,
+        -60,
+        -50,
+        -40,
+        -30,
+        -20,
+        -30,
+        -20,
+        -30,
+        -20,
+        -10,
+        0,
+        -10,
+        0,
+        10,
+        0,
+        -10,
+        0,
+        10,
+        20,
+        10,
+        20,
+        10,
+        20,
+        30,
+        40,
+        30,
+        40,
+        50,
+        40,
+        50,
+        40,
+        50,
+        60,
+        70,
+        80,
+        70,
+        60,
+        70,
+        60,
+        70,
+        80,
+        70,
+        80,
+        90,
+        100,
+        90,
+        80,
+        70,
+        60,
+        70,
+        80,
+        70,
+        60,
+        50,
+        60,
+        50,
+        40,
+        50,
+        40,
+        30,
+        40,
+        30,
+        20,
+        10,
+        0,
+        10,
+        20,
+        10,
+        0,
+        -10,
+        0,
+        10,
+        0,
+        -10,
+        -20,
+        -30,
+        -20,
+        -30,
+        -20,
+        -30,
+        -40,
+        -30,
+        -40,
+        -50,
+        -40,
+        -50,
+        -60,
+        -70,
+        -60,
+        -70,
+        -60,
+        -70,
+        -80,
+        -70,
+        -80,
+        -90,
+        -100,
+        -90,
+        -100,
+        -90,
+        -100,
+        -110,
+        -100,
+        -110,
+        -120,
+        -110,
+        -120,
+        -130,
+        -120,
+        -130,
+        -140,
+        -150,
+        -140,
+        -150,
+        -140,
+        -150,
+        -160,
+        -150,
+        -160,
+        -170,
+        -180,
+        -170,
+        -180,
+        -170,
+        -180,
+        -190,
+        -200,
+        -190,
+        -200,
+        -190,
+        -200,
+        -190,
+        -200,
+        -210,
+        -220,
+        -230,
+        -220,
+        -230,
+        -240,
+        -230,
+        -240,
+        -230,
+        -240,
+        -250,
+        -260,
+        -250,
+        -240,
+        -250,
+        -260,
+        -270,
+        -260,
+        -250,
+        -260,
+        -250,
+        -260,
+        -270,
+        -260,
+        -250,
+        -260,
+        -250,
+        -240,
+        -230,
+        -220,
+        -230,
+        -240,
+        -230,
+        -220,
+        -230,
+        -220,
+        -210,
+        -200,
+        -210,
+        -200,
+        -190,
+        -180,
+        -190,
+        -180,
+        -190,
+        -200,
+        -190,
+        -180,
+        -170,
+        -160,
+        -150,
+        -160,
+        -150,
+        -160,
+        -170,
+        -160,
+        -150,
+        -160,
+        -150,
+        -140,
+        -130,
+        -120,
+        -130,
+        -120,
+        -130,
+        -120,
+        -110,
+        -120,
+        -110,
+        -100,
+        -90,
+        -100,
+        -110,
+        -100,
+        -110,
+        -100,
+        -90,
+        -80,
+        -70,
+        -80,
+        -70,
+        -60,
+        -70,
+        -60,
+        -70,
+        -60,
+        -50,
+        -40,
+        -50,
+        -40,
+        -30,
+        -40,
+        -30,
+        -20,
+        -30,
+        -20,
+        -30,
+        -40,
+        -30,
+        -20,
+        -10,
+        0,
+        10,
+        0,
+        10,
+        20,
+        10,
+        20,
+        10,
+        0,
+        10,
+        20,
+        30,
+        40,
+        50,
+        40,
+        50,
+        40,
+        30,
+        40,
+        50,
+        60,
+        70,
+        80,
+        70,
+        60,
+        70,
+        80,
+        70,
+        80,
+        70,
+        60,
+        70,
+        80,
+        90,
+        80,
+        90,
+        80,
+        70,
+        60,
+        70,
+        60,
+        70,
+        60,
+        50,
+        40,
+        50,
+        40,
+        30,
+        20,
+        30,
+        20,
+        30,
+        20,
+        10,
+        0,
+        10,
+        0,
+        10,
+        0,
+        10,
+        0,
+        -10,
+        -20,
+        -30,
+        -20,
+        -30,
+        -40,
+        -30,
+        -40,
+        -30,
+        -40,
+        -50,
+        -60,
+        -50,
+        -60,
+        -50,
+        -60,
+        -70,
+        -60,
+        -70,
+        -80,
+        -90,
+        -80,
+        -70,
+        -80,
+        -90,
+        -100,
+        -110,
+        -100,
+        -110,
+        -100,
+        -110,
+        -120,
+        -110,
+        -120
+    ]
+}
\ No newline at end of file
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorT_direction.json b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorT_direction.json
new file mode 100644
index 0000000000000000000000000000000000000000..4f70cf23e1a41cfa8302b9104f9c1d4d9c41f573
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorT_direction.json
@@ -0,0 +1,1976 @@
+{
+    "time": [
+        0.05,
+        0.1,
+        0.15000000000000002,
+        0.2,
+        0.25,
+        0.3,
+        0.35,
+        0.39999999999999997,
+        0.44999999999999996,
+        0.49999999999999994,
+        0.5499999999999999,
+        0.6,
+        0.65,
+        0.7000000000000001,
+        0.7500000000000001,
+        0.8000000000000002,
+        0.8500000000000002,
+        0.9000000000000002,
+        0.9500000000000003,
+        1.0000000000000002,
+        1.0500000000000003,
+        1.1000000000000003,
+        1.1500000000000004,
+        1.2000000000000004,
+        1.2500000000000004,
+        1.3000000000000005,
+        1.3500000000000005,
+        1.4000000000000006,
+        1.4500000000000006,
+        1.5000000000000007,
+        1.5500000000000007,
+        1.6000000000000008,
+        1.6500000000000008,
+        1.7000000000000008,
+        1.7500000000000009,
+        1.800000000000001,
+        1.850000000000001,
+        1.900000000000001,
+        1.950000000000001,
+        2.000000000000001,
+        2.0500000000000007,
+        2.1000000000000005,
+        2.1500000000000004,
+        2.2,
+        2.25,
+        2.3,
+        2.3499999999999996,
+        2.3999999999999995,
+        2.4499999999999993,
+        2.499999999999999,
+        2.549999999999999,
+        2.5999999999999988,
+        2.6499999999999986,
+        2.6999999999999984,
+        2.7499999999999982,
+        2.799999999999998,
+        2.849999999999998,
+        2.8999999999999977,
+        2.9499999999999975,
+        2.9999999999999973,
+        3.049999999999997,
+        3.099999999999997,
+        3.149999999999997,
+        3.1999999999999966,
+        3.2499999999999964,
+        3.2999999999999963,
+        3.349999999999996,
+        3.399999999999996,
+        3.4499999999999957,
+        3.4999999999999956,
+        3.5499999999999954,
+        3.599999999999995,
+        3.649999999999995,
+        3.699999999999995,
+        3.7499999999999947,
+        3.7999999999999945,
+        3.8499999999999943,
+        3.899999999999994,
+        3.949999999999994,
+        3.999999999999994,
+        4.049999999999994,
+        4.099999999999993,
+        4.149999999999993,
+        4.199999999999993,
+        4.249999999999993,
+        4.299999999999993,
+        4.3499999999999925,
+        4.399999999999992,
+        4.449999999999992,
+        4.499999999999992,
+        4.549999999999992,
+        4.599999999999992,
+        4.6499999999999915,
+        4.699999999999991,
+        4.749999999999991,
+        4.799999999999991,
+        4.849999999999991,
+        4.899999999999991,
+        4.94999999999999,
+        4.99999999999999,
+        5.04999999999999,
+        5.09999999999999,
+        5.14999999999999,
+        5.1999999999999895,
+        5.249999999999989,
+        5.299999999999989,
+        5.349999999999989,
+        5.399999999999989,
+        5.449999999999989,
+        5.4999999999999885,
+        5.549999999999988,
+        5.599999999999988,
+        5.649999999999988,
+        5.699999999999988,
+        5.749999999999988,
+        5.799999999999987,
+        5.849999999999987,
+        5.899999999999987,
+        5.949999999999987,
+        5.999999999999987,
+        6.0499999999999865,
+        6.099999999999986,
+        6.149999999999986,
+        6.199999999999986,
+        6.249999999999986,
+        6.299999999999986,
+        6.349999999999985,
+        6.399999999999985,
+        6.449999999999985,
+        6.499999999999985,
+        6.549999999999985,
+        6.5999999999999845,
+        6.649999999999984,
+        6.699999999999984,
+        6.749999999999984,
+        6.799999999999984,
+        6.849999999999984,
+        6.8999999999999835,
+        6.949999999999983,
+        6.999999999999983,
+        7.049999999999983,
+        7.099999999999983,
+        7.149999999999983,
+        7.199999999999982,
+        7.249999999999982,
+        7.299999999999982,
+        7.349999999999982,
+        7.399999999999982,
+        7.4499999999999815,
+        7.499999999999981,
+        7.549999999999981,
+        7.599999999999981,
+        7.649999999999981,
+        7.699999999999981,
+        7.7499999999999805,
+        7.79999999999998,
+        7.84999999999998,
+        7.89999999999998,
+        7.94999999999998,
+        7.99999999999998,
+        8.04999999999998,
+        8.09999999999998,
+        8.14999999999998,
+        8.199999999999982,
+        8.249999999999982,
+        8.299999999999983,
+        8.349999999999984,
+        8.399999999999984,
+        8.449999999999985,
+        8.499999999999986,
+        8.549999999999986,
+        8.599999999999987,
+        8.649999999999988,
+        8.699999999999989,
+        8.74999999999999,
+        8.79999999999999,
+        8.84999999999999,
+        8.899999999999991,
+        8.949999999999992,
+        8.999999999999993,
+        9.049999999999994,
+        9.099999999999994,
+        9.149999999999995,
+        9.199999999999996,
+        9.249999999999996,
+        9.299999999999997,
+        9.349999999999998,
+        9.399999999999999,
+        9.45,
+        9.5,
+        9.55,
+        9.600000000000001,
+        9.650000000000002,
+        9.700000000000003,
+        9.750000000000004,
+        9.800000000000004,
+        9.850000000000005,
+        9.900000000000006,
+        9.950000000000006,
+        10.000000000000007,
+        10.050000000000008,
+        10.100000000000009,
+        10.15000000000001,
+        10.20000000000001,
+        10.25000000000001,
+        10.300000000000011,
+        10.350000000000012,
+        10.400000000000013,
+        10.450000000000014,
+        10.500000000000014,
+        10.550000000000015,
+        10.600000000000016,
+        10.650000000000016,
+        10.700000000000017,
+        10.750000000000018,
+        10.800000000000018,
+        10.85000000000002,
+        10.90000000000002,
+        10.95000000000002,
+        11.000000000000021,
+        11.050000000000022,
+        11.100000000000023,
+        11.150000000000023,
+        11.200000000000024,
+        11.250000000000025,
+        11.300000000000026,
+        11.350000000000026,
+        11.400000000000027,
+        11.450000000000028,
+        11.500000000000028,
+        11.55000000000003,
+        11.60000000000003,
+        11.65000000000003,
+        11.700000000000031,
+        11.750000000000032,
+        11.800000000000033,
+        11.850000000000033,
+        11.900000000000034,
+        11.950000000000035,
+        12.000000000000036,
+        12.050000000000036,
+        12.100000000000037,
+        12.150000000000038,
+        12.200000000000038,
+        12.250000000000039,
+        12.30000000000004,
+        12.35000000000004,
+        12.400000000000041,
+        12.450000000000042,
+        12.500000000000043,
+        12.550000000000043,
+        12.600000000000044,
+        12.650000000000045,
+        12.700000000000045,
+        12.750000000000046,
+        12.800000000000047,
+        12.850000000000048,
+        12.900000000000048,
+        12.950000000000049,
+        13.00000000000005,
+        13.05000000000005,
+        13.100000000000051,
+        13.150000000000052,
+        13.200000000000053,
+        13.250000000000053,
+        13.300000000000054,
+        13.350000000000055,
+        13.400000000000055,
+        13.450000000000056,
+        13.500000000000057,
+        13.550000000000058,
+        13.600000000000058,
+        13.650000000000059,
+        13.70000000000006,
+        13.75000000000006,
+        13.800000000000061,
+        13.850000000000062,
+        13.900000000000063,
+        13.950000000000063,
+        14.000000000000064,
+        14.050000000000065,
+        14.100000000000065,
+        14.150000000000066,
+        14.200000000000067,
+        14.250000000000068,
+        14.300000000000068,
+        14.350000000000069,
+        14.40000000000007,
+        14.45000000000007,
+        14.500000000000071,
+        14.550000000000072,
+        14.600000000000072,
+        14.650000000000073,
+        14.700000000000074,
+        14.750000000000075,
+        14.800000000000075,
+        14.850000000000076,
+        14.900000000000077,
+        14.950000000000077,
+        15.000000000000078,
+        15.050000000000079,
+        15.10000000000008,
+        15.15000000000008,
+        15.200000000000081,
+        15.250000000000082,
+        15.300000000000082,
+        15.350000000000083,
+        15.400000000000084,
+        15.450000000000085,
+        15.500000000000085,
+        15.550000000000086,
+        15.600000000000087,
+        15.650000000000087,
+        15.700000000000088,
+        15.750000000000089,
+        15.80000000000009,
+        15.85000000000009,
+        15.900000000000091,
+        15.950000000000092,
+        16.000000000000092,
+        16.050000000000093,
+        16.100000000000094,
+        16.150000000000095,
+        16.200000000000095,
+        16.250000000000096,
+        16.300000000000097,
+        16.350000000000097,
+        16.400000000000098,
+        16.4500000000001,
+        16.5000000000001,
+        16.5500000000001,
+        16.6000000000001,
+        16.6500000000001,
+        16.700000000000102,
+        16.750000000000103,
+        16.800000000000104,
+        16.850000000000104,
+        16.900000000000105,
+        16.950000000000106,
+        17.000000000000107,
+        17.050000000000107,
+        17.100000000000108,
+        17.15000000000011,
+        17.20000000000011,
+        17.25000000000011,
+        17.30000000000011,
+        17.35000000000011,
+        17.400000000000112,
+        17.450000000000113,
+        17.500000000000114,
+        17.550000000000114,
+        17.600000000000115,
+        17.650000000000116,
+        17.700000000000117,
+        17.750000000000117,
+        17.800000000000118,
+        17.85000000000012,
+        17.90000000000012,
+        17.95000000000012,
+        18.00000000000012,
+        18.05000000000012,
+        18.100000000000122,
+        18.150000000000123,
+        18.200000000000124,
+        18.250000000000124,
+        18.300000000000125,
+        18.350000000000126,
+        18.400000000000126,
+        18.450000000000127,
+        18.500000000000128,
+        18.55000000000013,
+        18.60000000000013,
+        18.65000000000013,
+        18.70000000000013,
+        18.75000000000013,
+        18.800000000000132,
+        18.850000000000133,
+        18.900000000000134,
+        18.950000000000134,
+        19.000000000000135,
+        19.050000000000136,
+        19.100000000000136,
+        19.150000000000137,
+        19.200000000000138,
+        19.25000000000014,
+        19.30000000000014,
+        19.35000000000014,
+        19.40000000000014,
+        19.45000000000014,
+        19.500000000000142,
+        19.550000000000143,
+        19.600000000000144,
+        19.650000000000144,
+        19.700000000000145,
+        19.750000000000146,
+        19.800000000000146,
+        19.850000000000147,
+        19.900000000000148,
+        19.95000000000015,
+        20.00000000000015,
+        20.05000000000015,
+        20.10000000000015,
+        20.15000000000015,
+        20.200000000000152,
+        20.250000000000153,
+        20.300000000000153,
+        20.350000000000154,
+        20.400000000000155,
+        20.450000000000156,
+        20.500000000000156,
+        20.550000000000157,
+        20.600000000000158,
+        20.65000000000016,
+        20.70000000000016,
+        20.75000000000016,
+        20.80000000000016,
+        20.85000000000016,
+        20.900000000000162,
+        20.950000000000163,
+        21.000000000000163,
+        21.050000000000164,
+        21.100000000000165,
+        21.150000000000166,
+        21.200000000000166,
+        21.250000000000167,
+        21.300000000000168,
+        21.35000000000017,
+        21.40000000000017,
+        21.45000000000017,
+        21.50000000000017,
+        21.55000000000017,
+        21.600000000000172,
+        21.650000000000173,
+        21.700000000000173,
+        21.750000000000174,
+        21.800000000000175,
+        21.850000000000176,
+        21.900000000000176,
+        21.950000000000177,
+        22.000000000000178,
+        22.05000000000018,
+        22.10000000000018,
+        22.15000000000018,
+        22.20000000000018,
+        22.25000000000018,
+        22.300000000000182,
+        22.350000000000183,
+        22.400000000000183,
+        22.450000000000184,
+        22.500000000000185,
+        22.550000000000185,
+        22.600000000000186,
+        22.650000000000187,
+        22.700000000000188,
+        22.75000000000019,
+        22.80000000000019,
+        22.85000000000019,
+        22.90000000000019,
+        22.95000000000019,
+        23.000000000000192,
+        23.050000000000193,
+        23.100000000000193,
+        23.150000000000194,
+        23.200000000000195,
+        23.250000000000195,
+        23.300000000000196,
+        23.350000000000197,
+        23.400000000000198,
+        23.4500000000002,
+        23.5000000000002,
+        23.5500000000002,
+        23.6000000000002,
+        23.6500000000002,
+        23.700000000000202,
+        23.750000000000203,
+        23.800000000000203,
+        23.850000000000204,
+        23.900000000000205,
+        23.950000000000205,
+        24.000000000000206,
+        24.050000000000207,
+        24.100000000000207,
+        24.150000000000208,
+        24.20000000000021,
+        24.25000000000021,
+        24.30000000000021,
+        24.35000000000021,
+        24.40000000000021,
+        24.450000000000212,
+        24.500000000000213,
+        24.550000000000214,
+        24.600000000000215,
+        24.650000000000215,
+        24.700000000000216,
+        24.750000000000217,
+        24.800000000000217,
+        24.850000000000218,
+        24.90000000000022,
+        24.95000000000022,
+        25.00000000000022,
+        25.05000000000022,
+        25.10000000000022,
+        25.150000000000222,
+        25.200000000000223,
+        25.250000000000224,
+        25.300000000000225,
+        25.350000000000225,
+        25.400000000000226,
+        25.450000000000227,
+        25.500000000000227,
+        25.550000000000228,
+        25.60000000000023,
+        25.65000000000023,
+        25.70000000000023,
+        25.75000000000023,
+        25.80000000000023,
+        25.850000000000232,
+        25.900000000000233,
+        25.950000000000234,
+        26.000000000000234,
+        26.050000000000235,
+        26.100000000000236,
+        26.150000000000237,
+        26.200000000000237,
+        26.250000000000238,
+        26.30000000000024,
+        26.35000000000024,
+        26.40000000000024,
+        26.45000000000024,
+        26.50000000000024,
+        26.550000000000242,
+        26.600000000000243,
+        26.650000000000244,
+        26.700000000000244,
+        26.750000000000245,
+        26.800000000000246,
+        26.850000000000247,
+        26.900000000000247,
+        26.950000000000248,
+        27.00000000000025,
+        27.05000000000025,
+        27.10000000000025,
+        27.15000000000025,
+        27.20000000000025,
+        27.250000000000252,
+        27.300000000000253,
+        27.350000000000254,
+        27.400000000000254,
+        27.450000000000255,
+        27.500000000000256,
+        27.550000000000257,
+        27.600000000000257,
+        27.650000000000258,
+        27.70000000000026,
+        27.75000000000026,
+        27.80000000000026,
+        27.85000000000026,
+        27.90000000000026,
+        27.950000000000262,
+        28.000000000000263,
+        28.050000000000264,
+        28.100000000000264,
+        28.150000000000265,
+        28.200000000000266,
+        28.250000000000266,
+        28.300000000000267,
+        28.350000000000268,
+        28.40000000000027,
+        28.45000000000027,
+        28.50000000000027,
+        28.55000000000027,
+        28.60000000000027,
+        28.650000000000272,
+        28.700000000000273,
+        28.750000000000274,
+        28.800000000000274,
+        28.850000000000275,
+        28.900000000000276,
+        28.950000000000276,
+        29.000000000000277,
+        29.050000000000278,
+        29.10000000000028,
+        29.15000000000028,
+        29.20000000000028,
+        29.25000000000028,
+        29.30000000000028,
+        29.350000000000282,
+        29.400000000000283,
+        29.450000000000284,
+        29.500000000000284,
+        29.550000000000285,
+        29.600000000000286,
+        29.650000000000286,
+        29.700000000000287,
+        29.750000000000288,
+        29.80000000000029,
+        29.85000000000029,
+        29.90000000000029,
+        29.95000000000029,
+        30.00000000000029,
+        30.050000000000292,
+        30.100000000000293,
+        30.150000000000293,
+        30.200000000000294,
+        30.250000000000295,
+        30.300000000000296,
+        30.350000000000296,
+        30.400000000000297,
+        30.450000000000298,
+        30.5000000000003,
+        30.5500000000003,
+        30.6000000000003,
+        30.6500000000003,
+        30.7000000000003,
+        30.750000000000302,
+        30.800000000000303,
+        30.850000000000303,
+        30.900000000000304,
+        30.950000000000305,
+        31.000000000000306,
+        31.050000000000306,
+        31.100000000000307,
+        31.150000000000308,
+        31.20000000000031,
+        31.25000000000031,
+        31.30000000000031,
+        31.35000000000031,
+        31.40000000000031,
+        31.450000000000312,
+        31.500000000000313,
+        31.550000000000313,
+        31.600000000000314,
+        31.650000000000315,
+        31.700000000000315,
+        31.750000000000316,
+        31.800000000000317,
+        31.850000000000318,
+        31.90000000000032,
+        31.95000000000032,
+        32.00000000000032,
+        32.05000000000032,
+        32.100000000000314,
+        32.15000000000031,
+        32.20000000000031,
+        32.250000000000306,
+        32.3000000000003,
+        32.3500000000003,
+        32.4000000000003,
+        32.450000000000294,
+        32.50000000000029,
+        32.55000000000029,
+        32.600000000000286,
+        32.65000000000028,
+        32.70000000000028,
+        32.75000000000028,
+        32.800000000000274
+    ],
+    "x": [
+        1733.0097378370638,
+        1733.0292499681486,
+        1733.0324966842904,
+        1733.0368508074375,
+        1732.9627492959,
+        1732.8728881166462,
+        1732.8914682361524,
+        1732.9130507227974,
+        1732.7879171433535,
+        1732.6462582829008,
+        1732.7421245137368,
+        1732.5970353347554,
+        1732.6777057009394,
+        1732.525894985352,
+        1732.4370789254608,
+        1732.2568949955676,
+        1732.23695674,
+        1732.1769667282879,
+        1732.002892380309,
+        1731.8134651266869,
+        1731.7084768595073,
+        1731.7454873535958,
+        1731.5737325529758,
+        1731.3066354533553,
+        1731.430886201013,
+        1731.536459475983,
+        1731.0649634395177,
+        1730.7361334569446,
+        1730.785015829692,
+        1730.2663816952036,
+        1730.166526559416,
+        1729.9121409984464,
+        1729.5227840923594,
+        1729.5260863591438,
+        1729.8040721144357,
+        1729.0167903879906,
+        1729.9365084947967,
+        1729.475259562077,
+        1730.0075043394068,
+        1730.2983083029476,
+        1730.2263608751532,
+        1730.2865322429423,
+        1729.899361276844,
+        1729.6141793654788,
+        1729.6473310074862,
+        1729.641088007411,
+        1729.3677255780046,
+        1729.09866672288,
+        1729.1614135034563,
+        1729.2073080195728,
+        1728.5469043188373,
+        1727.8286888362536,
+        1727.606111494517,
+        1727.38480281089,
+        1727.5508825037673,
+        1727.7641409522303,
+        1728.0331613382384,
+        1728.3462076506798,
+        1728.6512266256073,
+        1729.004580489891,
+        1728.654316112753,
+        1728.128890333985,
+        1727.9621267946745,
+        1727.8856648125725,
+        1728.1340486225918,
+        1728.5114816353132,
+        1728.080929636739,
+        1727.3287036437628,
+        1727.7606735494032,
+        1728.6973213674103,
+        1729.4684901019502,
+        1730.2453574145832,
+        1730.5146052017392,
+        1730.565507653138,
+        1730.3309166786637,
+        1729.9185542405712,
+        1730.9481862591438,
+        1732.8006116126705,
+        1734.6384896527486,
+        1736.581200491899,
+        1737.2167281141276,
+        1737.0429571210811,
+        1738.446202028917,
+        1740.8029584134329,
+        1743.741489304078,
+        1747.1094264771004,
+        1750.8441991063733,
+        1754.9194707101478,
+        1759.322469663438,
+        1764.0443153068811,
+        1769.005069218506,
+        1774.2295689845773,
+        1779.748876335219,
+        1785.5409374278227,
+        1790.9609546585748,
+        1796.3017288703195,
+        1802.3109374524176,
+        1808.7113214289616,
+        1815.0662244850703,
+        1821.4841202226476,
+        1828.2745296031642,
+        1835.285952224404,
+        1842.4288382848513,
+        1849.667794452726,
+        1856.9832084906227,
+        1864.3407340044396,
+        1871.6093256787005,
+        1878.874084972988,
+        1886.1648803507715,
+        1893.475865158325,
+        1900.8125613721525,
+        1908.1017894755332,
+        1915.3784951304292,
+        1922.6511186111302,
+        1929.7898731435662,
+        1936.7711153204154,
+        1943.5717835646842,
+        1950.170133217258,
+        1956.5440129013311,
+        1962.6704615198532,
+        1968.91952515924,
+        1975.1729140236102,
+        1980.9326882355278,
+        1986.2886595927002,
+        1991.5911820569163,
+        1996.7551953229354,
+        2001.3827120678868,
+        2005.5546090708922,
+        2009.298637269041,
+        2012.6194681545992,
+        2016.451120386057,
+        2020.4537368764375,
+        2023.6485944467677,
+        2026.27685110022,
+        2028.2933515255545,
+        2029.7884618177789,
+        2031.2408036165266,
+        2032.503149147913,
+        2033.054019326135,
+        2033.0322268232505,
+        2034.0286558971166,
+        2035.6268983458613,
+        2035.824072722035,
+        2035.1694334256,
+        2033.8991788494113,
+        2032.1171623999467,
+        2029.8704105629602,
+        2027.1817544651262,
+        2024.0644768017319,
+        2020.5289814149041,
+        2016.5858091206849,
+        2012.246957443825,
+        2007.52641000412,
+        2002.4402977731897,
+        1998.1197443133021,
+        1994.1481296050738,
+        1989.145757498657,
+        1983.5300013784963,
+        1977.4996777935303,
+        1971.1533211077103,
+        1964.6330331742765,
+        1957.9801940303428,
+        1951.2735083055327,
+        1944.276323837384,
+        1937.6115507842055,
+        1930.5956814201188,
+        1923.4250759489773,
+        1916.1740512992246,
+        1908.705429026992,
+        1901.1721986736632,
+        1893.5751536169664,
+        1885.992713924044,
+        1878.4856400486315,
+        1870.9018136611587,
+        1863.332142830041,
+        1855.8310473408105,
+        1848.3442180908478,
+        1840.9842486081266,
+        1833.7207540718423,
+        1826.5909344327583,
+        1819.6863141276056,
+        1813.0251927389215,
+        1806.502068628006,
+        1799.6477298082493,
+        1793.2932017818575,
+        1787.3366005694922,
+        1781.6497105576257,
+        1776.2734096481404,
+        1770.8620923363662,
+        1765.8543817126642,
+        1761.3329793936668,
+        1757.0368300436755,
+        1752.7503911408007,
+        1748.5812857808592,
+        1745.155095800779,
+        1742.1879833954256,
+        1739.790543217544,
+        1737.4369248137336,
+        1735.7506774923152,
+        1734.6369965828108,
+        1733.2914442449814,
+        1732.1901785357854,
+        1731.7115596173965,
+        1731.9488269199055,
+        1732.173070712525,
+        1731.9590078179021,
+        1731.09783675548,
+        1729.769423472889,
+        1728.0397678863674,
+        1726.0267059534576,
+        1724.033848259524,
+        1721.2715642549897,
+        1717.9677587149165,
+        1714.2235658551913,
+        1710.0844189608222,
+        1705.572123913642,
+        1700.69963400628,
+        1695.4778604998837,
+        1689.9187319836587,
+        1684.0364739589468,
+        1677.8480464530812,
+        1671.599038723305,
+        1664.9861761329025,
+        1658.0872003429995,
+        1651.0506773646725,
+        1644.2553557356723,
+        1637.1254139010816,
+        1629.7985783384872,
+        1622.2661103190283,
+        1614.689756251178,
+        1606.9597814991373,
+        1599.4235195224585,
+        1591.706193779497,
+        1583.890934049324,
+        1576.063716882838,
+        1568.2786219532322,
+        1560.5340908382846,
+        1552.8068088762159,
+        1545.1918888098535,
+        1537.731164154059,
+        1530.2696877541262,
+        1522.9937129037858,
+        1515.9771825235289,
+        1509.0369381880846,
+        1502.2128822920076,
+        1495.771925568004,
+        1489.697538850241,
+        1483.5193080023305,
+        1477.5236471796698,
+        1472.0719485499394,
+        1466.9023247452164,
+        1462.2445366947277,
+        1457.8789638416802,
+        1453.38765110866,
+        1449.4170557501457,
+        1446.0923178104608,
+        1443.088580763037,
+        1440.2629392455601,
+        1437.1043991690894,
+        1434.8878781513047,
+        1433.382807935583,
+        1432.4858185981843,
+        1432.0716471583341,
+        1431.9311297538045,
+        1431.908049931384,
+        1432.570072333364,
+        1433.263298281287,
+        1433.818672791782,
+        1435.1055047360255,
+        1437.191300029942,
+        1439.9055306188884,
+        1443.1624771153165,
+        1446.8410229764456,
+        1450.176485093623,
+        1454.2837694116024,
+        1458.2424584768678,
+        1462.7453146098192,
+        1467.8840818834985,
+        1473.061219901872,
+        1478.8193553604674,
+        1485.0148569767957,
+        1490.9477931499569,
+        1497.4448898671267,
+        1504.3341554502545,
+        1511.1006736467555,
+        1518.290696428483,
+        1525.6278903673606,
+        1533.0479190264086,
+        1540.4996921115817,
+        1548.2413121647676,
+        1556.1477832503924,
+        1563.9540121704142,
+        1571.9203403724919,
+        1579.94560740529,
+        1587.9565542159871,
+        1595.9331799050228,
+        1603.8859688576595,
+        1611.7597922556688,
+        1619.5127558971667,
+        1627.1298440228743,
+        1634.9347687185266,
+        1642.9718155201408,
+        1650.652132219518,
+        1658.0506465096792,
+        1665.1673346239688,
+        1671.9864596749792,
+        1678.487331537638,
+        1684.6465515947325,
+        1690.4391189223725,
+        1695.8393993596494,
+        1700.821967705845,
+        1705.3622844132324,
+        1709.4372150582626,
+        1713.0254231335743,
+        1716.912040025006,
+        1720.0397160127923,
+        1722.5963755102082,
+        1725.0773410914271,
+        1728.0777763045128,
+        1730.339501704606,
+        1732.4416781297125,
+        1733.631037119344,
+        1734.0828325896985,
+        1733.8993094243779,
+        1733.4368853268431,
+        1733.4614113672671,
+        1734.4434550023257,
+        1735.1201051144558,
+        1736.838221580052,
+        1738.8324854185762,
+        1741.5480650011423,
+        1744.8109890680716,
+        1748.5405225484938,
+        1752.698693753417,
+        1756.2997589296124,
+        1760.646648241362,
+        1765.5507265923238,
+        1770.9145284830515,
+        1776.6831781254864,
+        1782.8207871866907,
+        1789.298974804255,
+        1796.0913455942446,
+        1803.1709231484579,
+        1810.1508669070772,
+        1817.3330129192377,
+        1824.869368698222,
+        1832.462753072327,
+        1840.1205496913894,
+        1848.0490810769752,
+        1856.1364895589381,
+        1864.2563299101223,
+        1872.4475770822753,
+        1880.5606467519729,
+        1888.6774513860587,
+        1896.8444617325345,
+        1904.9759753817045,
+        1913.010191041966,
+        1920.9001149052751,
+        1928.6689370980978,
+        1936.37089458515,
+        1943.9271378427966,
+        1951.1775169713878,
+        1958.5347543970324,
+        1965.6228412940686,
+        1972.2840977234287,
+        1978.830620441471,
+        1985.132828502818,
+        1990.9220162023007,
+        1996.7977249113749,
+        2002.5212634280674,
+        2007.5744072467924,
+        2012.0466175108259,
+        2015.9716568615163,
+        2019.3604542278247,
+        2022.7330453087457,
+        2025.4111186795237,
+        2027.88018574456,
+        2029.628167390721,
+        2031.249736788937,
+        2032.5638808094936,
+        2033.0842703992914,
+        2033.7007971733578,
+        2033.606751894502,
+        2033.5876021410159,
+        2032.64004547798,
+        2030.9569694142378,
+        2029.0740950857557,
+        2026.4680532946472,
+        2024.2480998900576,
+        2021.133440260567,
+        2017.3297516402686,
+        2012.9474891702007,
+        2008.2897146359908,
+        2003.1987992579714,
+        1997.6871220672306,
+        1992.8531224528647,
+        1987.1730037801913,
+        1980.9015305102077,
+        1974.1983558521865,
+        1967.2748066014806,
+        1960.1200732006141,
+        1953.0146731499512,
+        1945.9114899072538,
+        1938.3253531571486,
+        1930.4275845797433,
+        1922.3788290819775,
+        1914.2761632704683,
+        1906.0114094837336,
+        1897.8319926954005,
+        1889.5112707303829,
+        1881.1536986412723,
+        1872.821506348146,
+        1864.5121237841981,
+        1856.2577986282022,
+        1847.991022988404,
+        1839.859448421782,
+        1831.9092843805313,
+        1824.0633342049796,
+        1816.4828674175533,
+        1809.1982143353544,
+        1801.8767459772157,
+        1794.9690727448265,
+        1788.472105399464,
+        1782.2729025664821,
+        1776.1355067726372,
+        1770.5615278051705,
+        1765.5201897991492,
+        1760.6886400091066,
+        1755.6335028115277,
+        1750.8998182780906,
+        1746.9616252564806,
+        1743.4006624080862,
+        1740.0759187649073,
+        1736.9593110745561,
+        1734.670470322662,
+        1733.0891331564383,
+        1732.1582441557493,
+        1731.6074663581817,
+        1731.7354092844803,
+        1731.8779795393248,
+        1731.1882666534932,
+        1730.69320571976,
+        1729.8838696157086,
+        1728.1136241337995,
+        1726.5863361405918,
+        1724.1364015681154,
+        1721.013532005709,
+        1717.339853762187,
+        1713.176381169481,
+        1708.5554377528567,
+        1703.496927333146,
+        1698.0166333108668,
+        1692.1304218320477,
+        1685.8562942399014,
+        1679.2153010767597,
+        1672.231852915464,
+        1664.9337124661267,
+        1657.3518191271628,
+        1649.8463775887108,
+        1642.0933434983335,
+        1634.382325291308,
+        1626.5882661696392,
+        1618.44454307962,
+        1610.0920467918356,
+        1601.7292304241246,
+        1593.2465203687184,
+        1584.7805649295412,
+        1576.2821215862118,
+        1567.8251824209235,
+        1559.4664894775206,
+        1551.1784296400633,
+        1542.9574098098888,
+        1534.9157848324294,
+        1526.8800307651386,
+        1518.9042135157624,
+        1511.2803389836536,
+        1503.9794547276224,
+        1496.9184987712315,
+        1490.2792729370124,
+        1483.3190998581467,
+        1476.9616673269466,
+        1470.7972148547715,
+        1465.2276055282746,
+        1459.835836228816,
+        1455.020114521518,
+        1450.6189954105162,
+        1446.6249119568017,
+        1443.2961104714504,
+        1440.2399652057657,
+        1437.1546409942066,
+        1434.9242954152733,
+        1433.4309548438655,
+        1431.944668333519,
+        1431.290196648797,
+        1431.363170366437,
+        1432.01362995816,
+        1432.5048371782927,
+        1433.3361100788957,
+        1435.0327101115472,
+        1437.3075124531501,
+        1440.2910318785484,
+        1443.4083253295435,
+        1446.5733993468627,
+        1450.5800344011795,
+        1455.0147145936862,
+        1459.9858944747111,
+        1465.4277715157982,
+        1471.192472770359,
+        1476.6328856480543,
+        1482.828776104853,
+        1489.5794663188653,
+        1496.2328409536442,
+        1503.439683794868,
+        1510.4810720186838,
+        1517.9727263852806,
+        1525.8657059193565,
+        1534.0413145587183,
+        1542.4196277926399,
+        1550.8993602000583,
+        1559.2561076829159,
+        1567.7763803058983,
+        1576.3838226085975,
+        1585.0302178549741,
+        1593.6450034820446,
+        1602.171665297314,
+        1610.7422367725526,
+        1619.2688163447704,
+        1627.6313221425976,
+        1635.901471804635,
+        1643.92037732374,
+        1652.2069897152278,
+        1660.1191851958015,
+        1667.6721091945992,
+        1674.8497525544271,
+        1681.6275712682118,
+        1687.977874032973,
+        1693.8716101991818,
+        1699.2794784803234,
+        1704.172850039923,
+        1708.5245450429825,
+        1712.5984941684553,
+        1716.3174499916822,
+        1720.3978569446285,
+        1723.5516279709814,
+        1726.9113550346556,
+        1729.348231727788,
+        1731.6895774445484,
+        1734.1792792859137,
+        1736.176110548473,
+        1737.1649793704328,
+        1737.7629708020074,
+        1738.2338791899124,
+        1738.4491330762353,
+        1738.8124091021004,
+        1738.1567268357946,
+        1737.1157357874167,
+        1736.0782636927738,
+        1735.8785480713404,
+        1734.8152350250728,
+        1733.4872382840704,
+        1732.1537722133653,
+        1731.2932160647313,
+        1730.5333218953065,
+        1730.2332802380254,
+        1729.0313473946671,
+        1728.518891013899,
+        1727.4846196268413,
+        1726.3860748040856,
+        1725.7493179847024,
+        1724.9079410901209,
+        1724.8877561538484,
+        1724.0102187791417,
+        1723.5849697703952,
+        1722.987540821108,
+        1722.9891099972174,
+        1723.1512418071918,
+        1722.639452848333,
+        1722.22674032107,
+        1721.9846505359005,
+        1722.195868016801,
+        1722.5103445986774,
+        1723.0819229213334,
+        1723.1584844681588,
+        1723.7226924467536,
+        1723.795039005528,
+        1724.1944932397223,
+        1724.956257619955,
+        1725.0200993446983,
+        1725.2037549022386,
+        1725.6774864850472,
+        1726.405051451788,
+        1725.9900956204067,
+        1726.9423088136205,
+        1727.0070669650152,
+        1727.6106963244456,
+        1728.1465457504369,
+        1728.0198484568837,
+        1728.566170689377,
+        1729.1355600093286,
+        1728.9581722950852,
+        1730.2044617183024,
+        1730.1576550219306,
+        1730.708085855424,
+        1730.992882165817,
+        1731.201239755332,
+        1731.0207515444986,
+        1731.1003210243025,
+        1731.2412160656982,
+        1731.492458757774,
+        1731.4792424773777,
+        1731.5112520073503,
+        1731.799750412125,
+        1732.036821933124,
+        1731.9376505779815,
+        1731.7897838060694,
+        1731.9881509342185,
+        1732.1347350858969,
+        1732.0357707770613,
+        1731.9633136171783,
+        1731.9076066248208,
+        1731.9331779416739,
+        1731.8613747985987,
+        1731.8787968528327,
+        1731.8472063864544,
+        1731.7863263682211,
+        1731.714432231321,
+        1731.6280258144666,
+        1731.525364892829,
+        1731.4343293030386,
+        1731.3307054563272,
+        1731.233557256875,
+        1731.1300183830137,
+        1731.048686432623,
+        1730.9469956891317,
+        1730.8608103382794,
+        1730.7575939175194,
+        1730.6562729602897,
+        1730.5531326608161,
+        1730.4586326682443,
+        1730.354766411796,
+        1730.2746066848601,
+        1730.171247137519,
+        1730.0874584442718,
+        1729.9851382286163,
+        1729.8927474417474,
+        1729.7916172426885,
+        1729.6892847707516,
+        1729.5858773786936,
+        1729.5058902368605,
+        1729.4038322944994,
+        1729.3125048865832,
+        1729.211222153731,
+        1729.1139202775234,
+        1729.0125782774194,
+        1728.9169768726379,
+        1728.814170720534
+    ],
+    "y": [
+        -406.0866092042919,
+        -406.25976981819366,
+        -406.51944597284813,
+        -406.86557763298083,
+        -407.29811539697903,
+        -407.816821210171,
+        -408.4220674532994,
+        -409.11355410083627,
+        -409.8907265474146,
+        -410.75352689926905,
+        -411.70408831744146,
+        -412.73885378778573,
+        -413.8613899927567,
+        -415.0678073080661,
+        -416.3604410946788,
+        -417.73732030518914,
+        -419.20230433276157,
+        -420.75229519512266,
+        -422.3856434864957,
+        -424.1036943457502,
+        -425.90904493205323,
+        -427.80347293481856,
+        -429.7779515588164,
+        -431.8344246596496,
+        -433.98795565823303,
+        -436.22538394373623,
+        -438.5318479622853,
+        -440.92545076710314,
+        -443.41829428844767,
+        -445.9729018595457,
+        -448.6300641202524,
+        -451.36471572985056,
+        -454.1765243645711,
+        -457.09387266740816,
+        -460.10594927897324,
+        -463.15509682311733,
+        -466.3574422002825,
+        -469.59748915999313,
+        -472.94270643010987,
+        -476.36188524585555,
+        -479.86576630498735,
+        -483.4529544139091,
+        -487.1267825756059,
+        -490.88161911168186,
+        -494.72427029093876,
+        -498.6545166289924,
+        -502.6715651041061,
+        -506.7786607422202,
+        -510.98605354169274,
+        -515.2882669289306,
+        -519.6703839666293,
+        -524.1395311697297,
+        -528.7335783765452,
+        -533.4319080444026,
+        -538.2566746154451,
+        -543.1867315887096,
+        -548.2233765694823,
+        -553.3678083433083,
+        -558.6226491150337,
+        -563.9908427329353,
+        -569.4907517087833,
+        -575.108043972783,
+        -580.8468186127216,
+        -586.7110253003789,
+        -592.7028891187449,
+        -598.8184929227648,
+        -605.0670102021656,
+        -611.4329026579885,
+        -617.9481140651642,
+        -624.5797666733811,
+        -631.3310943218851,
+        -638.2081590441312,
+        -645.2507424627029,
+        -652.4431027891742,
+        -659.6477250985319,
+        -666.8518245801624,
+        -674.0190632670817,
+        -681.105033749374,
+        -688.1437567337794,
+        -695.1351706056498,
+        -702.3392420866751,
+        -709.6501307484517,
+        -716.745929685147,
+        -723.6716628155599,
+        -730.4188891450773,
+        -736.9734111059897,
+        -743.320626409907,
+        -749.4440143737507,
+        -755.32490885717,
+        -760.9430905596491,
+        -766.3280219446801,
+        -771.4469697636289,
+        -776.2487657633271,
+        -780.7188250487279,
+        -785.544952013994,
+        -790.4683674446051,
+        -794.6014097539548,
+        -798.1732031840268,
+        -801.754497468812,
+        -805.2105804419655,
+        -807.9734341897557,
+        -810.1962240536709,
+        -811.9744172519057,
+        -813.3180562126006,
+        -814.1918426191174,
+        -814.6059861542012,
+        -815.3686788530979,
+        -816.1615279815836,
+        -816.7396638745411,
+        -817.0898594634475,
+        -816.4989955860792,
+        -815.2612620979369,
+        -814.2937239682462,
+        -813.3259395353575,
+        -811.4539178960471,
+        -808.963686845824,
+        -805.9814490630083,
+        -802.565779804185,
+        -798.7468987499252,
+        -794.5438568990204,
+        -790.64369373055,
+        -786.7563093021406,
+        -782.1107357157136,
+        -776.9619075780497,
+        -771.8029257151128,
+        -766.51280092586,
+        -760.6997686380505,
+        -754.5258495355989,
+        -748.0727578645408,
+        -741.3881278756908,
+        -735.0615407507028,
+        -728.828852557449,
+        -722.1316688173092,
+        -715.1636888661426,
+        -707.9616412562813,
+        -700.6186654273392,
+        -693.3092329130102,
+        -685.9737317301451,
+        -678.5152732180755,
+        -671.0172383253229,
+        -663.642833152131,
+        -656.3180504481448,
+        -648.861894450504,
+        -641.3825088925416,
+        -633.9531282185822,
+        -626.6184503152069,
+        -619.4105357232672,
+        -612.3570980499775,
+        -605.4847914992516,
+        -598.8202096560597,
+        -592.3899860297183,
+        -586.2205924444072,
+        -580.3380650108159,
+        -574.7677365215873,
+        -568.6514497485198,
+        -562.2522751847121,
+        -556.6550640184706,
+        -551.6101860526602,
+        -547.0257430744238,
+        -542.8697355187189,
+        -539.0191577924775,
+        -535.4326468036332,
+        -531.9887918127497,
+        -529.1132455985635,
+        -525.6164733941202,
+        -522.8503005555198,
+        -520.4793343817943,
+        -518.364339745028,
+        -516.995380409232,
+        -516.0305746816921,
+        -515.598511798971,
+        -515.3563749015407,
+        -514.4925979762569,
+        -514.6645612725194,
+        -515.5547464539613,
+        -516.9817564267892,
+        -518.1750055251919,
+        -520.1469400909875,
+        -522.4306771971957,
+        -525.1172961417047,
+        -528.3979523433713,
+        -532.1724664997791,
+        -536.13294598007,
+        -539.4076296717396,
+        -543.6119512176922,
+        -548.4177302634876,
+        -553.540816710345,
+        -558.9951709309742,
+        -564.3645724731334,
+        -570.1374441217456,
+        -576.3307610230943,
+        -582.6672498637076,
+        -588.9851769989294,
+        -595.3800450470312,
+        -602.245253399172,
+        -609.3350453245187,
+        -616.6603653472608,
+        -623.959513129681,
+        -631.4728630862164,
+        -639.1086796588938,
+        -646.6521293414662,
+        -654.236883198013,
+        -661.9078180942288,
+        -669.6228050064778,
+        -677.3045976989124,
+        -684.976581608437,
+        -692.6539799330617,
+        -700.3163303136007,
+        -707.9333278598479,
+        -715.4856336884852,
+        -723.0006406221363,
+        -730.3491980509137,
+        -737.5011279300163,
+        -744.4329051612763,
+        -751.1237222703057,
+        -757.5523177939178,
+        -763.6960641117998,
+        -769.531179121704,
+        -775.0332971028693,
+        -780.1780697514719,
+        -784.94169102739,
+        -789.5585237125463,
+        -793.6740675370083,
+        -797.3095308420226,
+        -800.6338363184225,
+        -804.3364903050049,
+        -807.3947720710653,
+        -809.985366195194,
+        -811.9853647649982,
+        -813.7528084257342,
+        -814.8502061512182,
+        -816.7149153563989,
+        -817.6952664184756,
+        -817.8786524190797,
+        -817.424057085453,
+        -817.0236037532595,
+        -815.8752258283218,
+        -814.8857207054439,
+        -813.0735674893263,
+        -810.6260404851907,
+        -808.3390058591237,
+        -805.4584196149838,
+        -801.9277493520474,
+        -798.3108100869642,
+        -794.4914526054094,
+        -789.9954607476602,
+        -784.9827817149937,
+        -780.1832992692739,
+        -775.1528772407625,
+        -769.486267990661,
+        -763.5636355852992,
+        -757.1979493494555,
+        -750.6424721627097,
+        -744.2164293668785,
+        -737.4333381786203,
+        -730.2752276256541,
+        -722.9858980089854,
+        -715.6426417277503,
+        -708.453454071738,
+        -700.8890439660948,
+        -693.1171509578755,
+        -685.2337710779334,
+        -677.3122004461084,
+        -669.4034879558847,
+        -661.5157726536995,
+        -653.6302587697666,
+        -645.7720002302578,
+        -637.9103096310255,
+        -630.1165065366392,
+        -622.4586679521589,
+        -614.9761071586843,
+        -607.7022044357227,
+        -600.6386269330659,
+        -593.4726408060865,
+        -586.6787640537625,
+        -579.8301255423262,
+        -573.3037108372374,
+        -567.2200851267331,
+        -561.205554052065,
+        -555.6956848262602,
+        -550.6517870610874,
+        -545.3883653146228,
+        -540.7776295479255,
+        -536.726268117749,
+        -532.5611847500832,
+        -529.0977090743663,
+        -525.9702842369172,
+        -523.0734105514568,
+        -520.2869120630901,
+        -518.302099834449,
+        -516.9767038148666,
+        -515.3962220337155,
+        -514.6560638811662,
+        -514.5956014520956,
+        -514.966955199973,
+        -515.5563727983181,
+        -516.2495708087547,
+        -517.7592264124014,
+        -519.8618593591597,
+        -522.4089752544737,
+        -524.1163125096614,
+        -524.926290745839,
+        -527.1675213598086,
+        -530.3256935902491,
+        -534.1480996085822,
+        -538.5078588369213,
+        -543.3368344196642,
+        -548.5936919019557,
+        -554.248520672511,
+        -560.2754126761552,
+        -566.6489363546441,
+        -573.3425331356495,
+        -580.3278638196966,
+        -587.5746228768826,
+        -594.5979623330857,
+        -602.0226956142631,
+        -609.6793814209908,
+        -617.3346341766728,
+        -624.8017094084153,
+        -632.525120933699,
+        -640.2960930549505,
+        -648.2921598903633,
+        -656.3959508896573,
+        -664.5269844424431,
+        -672.6212419345952,
+        -680.6848841128366,
+        -688.7517346010916,
+        -696.8231546028672,
+        -704.8603481053166,
+        -712.8339073619272,
+        -720.6649953491415,
+        -728.3052788535693,
+        -735.7216157146602,
+        -742.887260235195,
+        -750.1830993196886,
+        -757.122979434803,
+        -763.7136915097233,
+        -769.9457090421947,
+        -775.8023090891686,
+        -781.2628001481314,
+        -786.304434194386,
+        -790.9038094995162,
+        -795.0379182918973,
+        -799.219933363783,
+        -803.0491685648099,
+        -806.2007119018215,
+        -809.1550980391825,
+        -811.9122685008389,
+        -813.8921435397533,
+        -815.2055965257398,
+        -816.173355059527,
+        -816.4697292413398,
+        -817.1681654157858,
+        -817.8629095080655,
+        -817.535781249024,
+        -816.4322679713359,
+        -814.6739485006439,
+        -812.324345327459,
+        -809.6766360833097,
+        -806.9184885976131,
+        -803.7752336028223,
+        -799.9149561987149,
+        -796.3550335215633,
+        -792.2580770536047,
+        -787.4394398270025,
+        -782.4997780010234,
+        -777.2476241355406,
+        -771.3888583812334,
+        -765.6731609165216,
+        -759.8044466474335,
+        -753.3035735649905,
+        -746.3567156963691,
+        -739.0705878953522,
+        -731.5145100623963,
+        -724.0077108132439,
+        -716.1963966104345,
+        -708.3395407085734,
+        -700.2635200905086,
+        -692.189242599306,
+        -684.0617271116109,
+        -675.8145584698086,
+        -667.6055148299787,
+        -659.3521398097703,
+        -651.1164977820669,
+        -642.9007759774913,
+        -634.7751870511954,
+        -626.7202474289373,
+        -618.8405927656596,
+        -610.8962871930846,
+        -603.2220551104381,
+        -595.8335591408518,
+        -588.7555281565626,
+        -581.8815719404369,
+        -575.3177318036279,
+        -569.0981521453244,
+        -562.3898134060336,
+        -556.3574502130176,
+        -550.8917788517463,
+        -545.935172735765,
+        -541.3146072729548,
+        -537.0699573155302,
+        -532.8009969823082,
+        -528.5347838144612,
+        -525.1261821518167,
+        -522.4246085686648,
+        -520.2119086693115,
+        -518.2838883644077,
+        -517.0687250649532,
+        -515.621121783232,
+        -515.0557901946943,
+        -515.1530235984355,
+        -515.571668520702,
+        -515.9583052914971,
+        -517.2311746763444,
+        -518.166240591571,
+        -520.0699235880377,
+        -522.7242204436143,
+        -525.6085249425339,
+        -529.1957799078709,
+        -533.3799159498658,
+        -537.3844497613605,
+        -542.123946128653,
+        -547.4461312396911,
+        -553.0979855780722,
+        -558.7712220149747,
+        -565.0395114591222,
+        -571.7678010092043,
+        -578.6160902535071,
+        -585.2677216917048,
+        -592.1588229351389,
+        -599.5703435949092,
+        -607.1701495489403,
+        -614.8663343218743,
+        -622.6441368372064,
+        -630.7412646552199,
+        -639.0310081268686,
+        -647.4310465969492,
+        -655.8437161582493,
+        -664.2883849741992,
+        -672.6889018932302,
+        -681.0636349281822,
+        -689.4529937764166,
+        -697.8474842603132,
+        -706.2063361030068,
+        -714.5444800528796,
+        -722.7648649913262,
+        -730.8047883837908,
+        -738.6181581629646,
+        -746.170309922335,
+        -753.4311091779812,
+        -760.3713074635398,
+        -766.9612591481728,
+        -773.1708331043035,
+        -778.969816616137,
+        -784.3284671107438,
+        -789.2180638979448,
+        -793.6114058635847,
+        -797.4832414374334,
+        -801.3728432492999,
+        -804.7642825874781,
+        -808.1984619583174,
+        -811.4446338345081,
+        -813.7874941695576,
+        -815.377688420647,
+        -816.7616561246869,
+        -817.3714032036892,
+        -817.8095019896307,
+        -817.4515475244264,
+        -816.3942170941666,
+        -814.6900627650784,
+        -812.8437199188043,
+        -810.7685291176945,
+        -808.021670352524,
+        -805.3281827201645,
+        -802.458854210601,
+        -798.6841490249535,
+        -794.2751113322731,
+        -789.502784061066,
+        -784.1236264690842,
+        -779.2654997771724,
+        -773.5992435384651,
+        -767.733766374967,
+        -761.2565936777703,
+        -754.6573869368897,
+        -747.5976661081326,
+        -740.2732554857423,
+        -732.7218676300354,
+        -724.8295483895758,
+        -716.8528413836057,
+        -708.9141866240828,
+        -700.6610804954469,
+        -692.218448993717,
+        -683.8146961735521,
+        -675.274773366598,
+        -666.69031048645,
+        -658.1301152219305,
+        -649.60792463241,
+        -641.1104505008275,
+        -632.7123273906025,
+        -624.4424355853519,
+        -616.378836705512,
+        -608.4015361745974,
+        -600.4602844814992,
+        -592.8727988466735,
+        -585.5256892692224,
+        -578.5150842342323,
+        -571.8555316139434,
+        -565.4846242053367,
+        -558.8778030688345,
+        -552.9344167107866,
+        -547.5824479848286,
+        -542.1728013321135,
+        -537.4657111708344,
+        -532.573203118862,
+        -528.3569553189634,
+        -524.8707844700793,
+        -522.0524726388112,
+        -519.8757588389715,
+        -518.1969896391215,
+        -516.2165099321885,
+        -514.9850230506746,
+        -514.4226532106824,
+        -514.6197491878689,
+        -515.5104111016647,
+        -517.0574126221914,
+        -517.7547193676875,
+        -518.8949875485093,
+        -521.0292163599564,
+        -523.4788501869575,
+        -526.7421421512324,
+        -529.1165831736985,
+        -532.5683396458223,
+        -536.8208614447976,
+        -541.7207807327566,
+        -547.1774121239712,
+        -553.1310875373614,
+        -559.5367226082344,
+        -566.3552815629907,
+        -573.5493976430353,
+        -581.081202583247,
+        -588.7300773247846,
+        -596.5465277928578,
+        -604.1584937598213,
+        -612.2189170575274,
+        -620.1831579684624,
+        -628.4994422268496,
+        -636.7139209047805,
+        -644.769605229377,
+        -652.8483783867946,
+        -661.0343148201985,
+        -669.1446716199005,
+        -677.1362973835066,
+        -685.0265582200375,
+        -692.7936389345226,
+        -700.4669064353291,
+        -707.98958691242,
+        -715.378481354293,
+        -722.7357187988,
+        -729.8951848090635,
+        -736.9036006999104,
+        -743.7958503317255,
+        -750.663130417384,
+        -757.4396743497626,
+        -764.1798390921642,
+        -770.6603815391593,
+        -777.1451580872972,
+        -783.4357668668304,
+        -789.6066200853859,
+        -795.7447689154558,
+        -801.7400302290048,
+        -807.7428153463806,
+        -813.516313173807,
+        -819.2399749485114,
+        -824.8334045665567,
+        -830.3817909389807,
+        -835.8238447046874,
+        -841.1053131601467,
+        -846.2873099142085,
+        -851.3741415593231,
+        -856.3768652100766,
+        -861.2680249297432,
+        -866.044865451761,
+        -870.7110800219114,
+        -875.2593236215894,
+        -879.7148877439643,
+        -884.0510803251702,
+        -888.2554483640341,
+        -892.4004445241819,
+        -896.431514728317,
+        -900.3352735313069,
+        -904.1083446303555,
+        -907.8768033015685,
+        -911.4198005447,
+        -914.9384725625969,
+        -918.299423573116,
+        -921.5599154666961,
+        -924.7855090204704,
+        -927.8358665249207,
+        -930.7766196779954,
+        -933.6939406606697,
+        -936.3438187498674,
+        -939.0440930420413,
+        -941.5634059134011,
+        -944.0119835561231,
+        -946.3659663536548,
+        -948.6649428980644,
+        -950.8246099559442,
+        -952.8721101495171,
+        -954.8016928022296,
+        -956.6596306951635,
+        -958.4072371455027,
+        -960.0195175741884,
+        -961.5337899819312,
+        -962.9866052670557,
+        -964.3400536371864,
+        -965.5474861968958,
+        -966.6573654530503,
+        -967.6940650789464,
+        -968.6232882460872,
+        -969.4466167087776,
+        -970.1566506796283,
+        -970.7749599494417,
+        -971.2791645569993,
+        -971.6860471370367,
+        -971.993261755572,
+        -972.1986272812238,
+        -972.3026318592488,
+        -972.3055424682009,
+        -972.4100728179369,
+        -972.4130531344688,
+        -972.5182735938014,
+        -972.5211776648214,
+        -972.6244176001273,
+        -972.6270728307782,
+        -972.73087895153,
+        -972.733685728217,
+        -972.8392889969789,
+        -972.8420091704802,
+        -972.946707616796,
+        -972.9494557357505,
+        -973.0523564238135,
+        -973.0550184387171,
+        -973.1583332227489,
+        -973.1608355531233,
+        -973.2651622549051,
+        -973.2674663762733,
+        -973.3729462695287,
+        -973.3754493059301,
+        -973.4781391499284,
+        -973.4804532827387,
+        -973.5844943336551,
+        -973.5866625353981,
+        -973.691376877307,
+        -973.6934865087519,
+        -973.7979276645782,
+        -973.8001522730724
+    ]
+}
\ No newline at end of file
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorT_normal.json b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorT_normal.json
new file mode 100644
index 0000000000000000000000000000000000000000..e227a8135fcb26cd38dc17c4bb3c926bde367834
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorT_normal.json
@@ -0,0 +1,1988 @@
+{
+    "time": [
+        0.05,
+        0.1,
+        0.15000000000000002,
+        0.2,
+        0.25,
+        0.3,
+        0.35,
+        0.39999999999999997,
+        0.44999999999999996,
+        0.49999999999999994,
+        0.5499999999999999,
+        0.6,
+        0.65,
+        0.7000000000000001,
+        0.7500000000000001,
+        0.8000000000000002,
+        0.8500000000000002,
+        0.9000000000000002,
+        0.9500000000000003,
+        1.0000000000000002,
+        1.0500000000000003,
+        1.1000000000000003,
+        1.1500000000000004,
+        1.2000000000000004,
+        1.2500000000000004,
+        1.3000000000000005,
+        1.3500000000000005,
+        1.4000000000000006,
+        1.4500000000000006,
+        1.5000000000000007,
+        1.5500000000000007,
+        1.6000000000000008,
+        1.6500000000000008,
+        1.7000000000000008,
+        1.7500000000000009,
+        1.800000000000001,
+        1.850000000000001,
+        1.900000000000001,
+        1.950000000000001,
+        2.000000000000001,
+        2.0500000000000007,
+        2.1000000000000005,
+        2.1500000000000004,
+        2.2,
+        2.25,
+        2.3,
+        2.3499999999999996,
+        2.3999999999999995,
+        2.4499999999999993,
+        2.499999999999999,
+        2.549999999999999,
+        2.5999999999999988,
+        2.6499999999999986,
+        2.6999999999999984,
+        2.7499999999999982,
+        2.799999999999998,
+        2.849999999999998,
+        2.8999999999999977,
+        2.9499999999999975,
+        2.9999999999999973,
+        3.049999999999997,
+        3.099999999999997,
+        3.149999999999997,
+        3.1999999999999966,
+        3.2499999999999964,
+        3.2999999999999963,
+        3.349999999999996,
+        3.399999999999996,
+        3.4499999999999957,
+        3.4999999999999956,
+        3.5499999999999954,
+        3.599999999999995,
+        3.649999999999995,
+        3.699999999999995,
+        3.7499999999999947,
+        3.7999999999999945,
+        3.8499999999999943,
+        3.899999999999994,
+        3.949999999999994,
+        3.999999999999994,
+        4.049999999999994,
+        4.099999999999993,
+        4.149999999999993,
+        4.199999999999993,
+        4.249999999999993,
+        4.299999999999993,
+        4.3499999999999925,
+        4.399999999999992,
+        4.449999999999992,
+        4.499999999999992,
+        4.549999999999992,
+        4.599999999999992,
+        4.6499999999999915,
+        4.699999999999991,
+        4.749999999999991,
+        4.799999999999991,
+        4.849999999999991,
+        4.899999999999991,
+        4.94999999999999,
+        4.99999999999999,
+        5.04999999999999,
+        5.09999999999999,
+        5.14999999999999,
+        5.1999999999999895,
+        5.249999999999989,
+        5.299999999999989,
+        5.349999999999989,
+        5.399999999999989,
+        5.449999999999989,
+        5.4999999999999885,
+        5.549999999999988,
+        5.599999999999988,
+        5.649999999999988,
+        5.699999999999988,
+        5.749999999999988,
+        5.799999999999987,
+        5.849999999999987,
+        5.899999999999987,
+        5.949999999999987,
+        5.999999999999987,
+        6.0499999999999865,
+        6.099999999999986,
+        6.149999999999986,
+        6.199999999999986,
+        6.249999999999986,
+        6.299999999999986,
+        6.349999999999985,
+        6.399999999999985,
+        6.449999999999985,
+        6.499999999999985,
+        6.549999999999985,
+        6.5999999999999845,
+        6.649999999999984,
+        6.699999999999984,
+        6.749999999999984,
+        6.799999999999984,
+        6.849999999999984,
+        6.8999999999999835,
+        6.949999999999983,
+        6.999999999999983,
+        7.049999999999983,
+        7.099999999999983,
+        7.149999999999983,
+        7.199999999999982,
+        7.249999999999982,
+        7.299999999999982,
+        7.349999999999982,
+        7.399999999999982,
+        7.4499999999999815,
+        7.499999999999981,
+        7.549999999999981,
+        7.599999999999981,
+        7.649999999999981,
+        7.699999999999981,
+        7.7499999999999805,
+        7.79999999999998,
+        7.84999999999998,
+        7.89999999999998,
+        7.94999999999998,
+        7.99999999999998,
+        8.04999999999998,
+        8.09999999999998,
+        8.14999999999998,
+        8.199999999999982,
+        8.249999999999982,
+        8.299999999999983,
+        8.349999999999984,
+        8.399999999999984,
+        8.449999999999985,
+        8.499999999999986,
+        8.549999999999986,
+        8.599999999999987,
+        8.649999999999988,
+        8.699999999999989,
+        8.74999999999999,
+        8.79999999999999,
+        8.84999999999999,
+        8.899999999999991,
+        8.949999999999992,
+        8.999999999999993,
+        9.049999999999994,
+        9.099999999999994,
+        9.149999999999995,
+        9.199999999999996,
+        9.249999999999996,
+        9.299999999999997,
+        9.349999999999998,
+        9.399999999999999,
+        9.45,
+        9.5,
+        9.55,
+        9.600000000000001,
+        9.650000000000002,
+        9.700000000000003,
+        9.750000000000004,
+        9.800000000000004,
+        9.850000000000005,
+        9.900000000000006,
+        9.950000000000006,
+        10.000000000000007,
+        10.050000000000008,
+        10.100000000000009,
+        10.15000000000001,
+        10.20000000000001,
+        10.25000000000001,
+        10.300000000000011,
+        10.350000000000012,
+        10.400000000000013,
+        10.450000000000014,
+        10.500000000000014,
+        10.550000000000015,
+        10.600000000000016,
+        10.650000000000016,
+        10.700000000000017,
+        10.750000000000018,
+        10.800000000000018,
+        10.85000000000002,
+        10.90000000000002,
+        10.95000000000002,
+        11.000000000000021,
+        11.050000000000022,
+        11.100000000000023,
+        11.150000000000023,
+        11.200000000000024,
+        11.250000000000025,
+        11.300000000000026,
+        11.350000000000026,
+        11.400000000000027,
+        11.450000000000028,
+        11.500000000000028,
+        11.55000000000003,
+        11.60000000000003,
+        11.65000000000003,
+        11.700000000000031,
+        11.750000000000032,
+        11.800000000000033,
+        11.850000000000033,
+        11.900000000000034,
+        11.950000000000035,
+        12.000000000000036,
+        12.050000000000036,
+        12.100000000000037,
+        12.150000000000038,
+        12.200000000000038,
+        12.250000000000039,
+        12.30000000000004,
+        12.35000000000004,
+        12.400000000000041,
+        12.450000000000042,
+        12.500000000000043,
+        12.550000000000043,
+        12.600000000000044,
+        12.650000000000045,
+        12.700000000000045,
+        12.750000000000046,
+        12.800000000000047,
+        12.850000000000048,
+        12.900000000000048,
+        12.950000000000049,
+        13.00000000000005,
+        13.05000000000005,
+        13.100000000000051,
+        13.150000000000052,
+        13.200000000000053,
+        13.250000000000053,
+        13.300000000000054,
+        13.350000000000055,
+        13.400000000000055,
+        13.450000000000056,
+        13.500000000000057,
+        13.550000000000058,
+        13.600000000000058,
+        13.650000000000059,
+        13.70000000000006,
+        13.75000000000006,
+        13.800000000000061,
+        13.850000000000062,
+        13.900000000000063,
+        13.950000000000063,
+        14.000000000000064,
+        14.050000000000065,
+        14.100000000000065,
+        14.150000000000066,
+        14.200000000000067,
+        14.250000000000068,
+        14.300000000000068,
+        14.350000000000069,
+        14.40000000000007,
+        14.45000000000007,
+        14.500000000000071,
+        14.550000000000072,
+        14.600000000000072,
+        14.650000000000073,
+        14.700000000000074,
+        14.750000000000075,
+        14.800000000000075,
+        14.850000000000076,
+        14.900000000000077,
+        14.950000000000077,
+        15.000000000000078,
+        15.050000000000079,
+        15.10000000000008,
+        15.15000000000008,
+        15.200000000000081,
+        15.250000000000082,
+        15.300000000000082,
+        15.350000000000083,
+        15.400000000000084,
+        15.450000000000085,
+        15.500000000000085,
+        15.550000000000086,
+        15.600000000000087,
+        15.650000000000087,
+        15.700000000000088,
+        15.750000000000089,
+        15.80000000000009,
+        15.85000000000009,
+        15.900000000000091,
+        15.950000000000092,
+        16.000000000000092,
+        16.050000000000093,
+        16.100000000000094,
+        16.150000000000095,
+        16.200000000000095,
+        16.250000000000096,
+        16.300000000000097,
+        16.350000000000097,
+        16.400000000000098,
+        16.4500000000001,
+        16.5000000000001,
+        16.5500000000001,
+        16.6000000000001,
+        16.6500000000001,
+        16.700000000000102,
+        16.750000000000103,
+        16.800000000000104,
+        16.850000000000104,
+        16.900000000000105,
+        16.950000000000106,
+        17.000000000000107,
+        17.050000000000107,
+        17.100000000000108,
+        17.15000000000011,
+        17.20000000000011,
+        17.25000000000011,
+        17.30000000000011,
+        17.35000000000011,
+        17.400000000000112,
+        17.450000000000113,
+        17.500000000000114,
+        17.550000000000114,
+        17.600000000000115,
+        17.650000000000116,
+        17.700000000000117,
+        17.750000000000117,
+        17.800000000000118,
+        17.85000000000012,
+        17.90000000000012,
+        17.95000000000012,
+        18.00000000000012,
+        18.05000000000012,
+        18.100000000000122,
+        18.150000000000123,
+        18.200000000000124,
+        18.250000000000124,
+        18.300000000000125,
+        18.350000000000126,
+        18.400000000000126,
+        18.450000000000127,
+        18.500000000000128,
+        18.55000000000013,
+        18.60000000000013,
+        18.65000000000013,
+        18.70000000000013,
+        18.75000000000013,
+        18.800000000000132,
+        18.850000000000133,
+        18.900000000000134,
+        18.950000000000134,
+        19.000000000000135,
+        19.050000000000136,
+        19.100000000000136,
+        19.150000000000137,
+        19.200000000000138,
+        19.25000000000014,
+        19.30000000000014,
+        19.35000000000014,
+        19.40000000000014,
+        19.45000000000014,
+        19.500000000000142,
+        19.550000000000143,
+        19.600000000000144,
+        19.650000000000144,
+        19.700000000000145,
+        19.750000000000146,
+        19.800000000000146,
+        19.850000000000147,
+        19.900000000000148,
+        19.95000000000015,
+        20.00000000000015,
+        20.05000000000015,
+        20.10000000000015,
+        20.15000000000015,
+        20.200000000000152,
+        20.250000000000153,
+        20.300000000000153,
+        20.350000000000154,
+        20.400000000000155,
+        20.450000000000156,
+        20.500000000000156,
+        20.550000000000157,
+        20.600000000000158,
+        20.65000000000016,
+        20.70000000000016,
+        20.75000000000016,
+        20.80000000000016,
+        20.85000000000016,
+        20.900000000000162,
+        20.950000000000163,
+        21.000000000000163,
+        21.050000000000164,
+        21.100000000000165,
+        21.150000000000166,
+        21.200000000000166,
+        21.250000000000167,
+        21.300000000000168,
+        21.35000000000017,
+        21.40000000000017,
+        21.45000000000017,
+        21.50000000000017,
+        21.55000000000017,
+        21.600000000000172,
+        21.650000000000173,
+        21.700000000000173,
+        21.750000000000174,
+        21.800000000000175,
+        21.850000000000176,
+        21.900000000000176,
+        21.950000000000177,
+        22.000000000000178,
+        22.05000000000018,
+        22.10000000000018,
+        22.15000000000018,
+        22.20000000000018,
+        22.25000000000018,
+        22.300000000000182,
+        22.350000000000183,
+        22.400000000000183,
+        22.450000000000184,
+        22.500000000000185,
+        22.550000000000185,
+        22.600000000000186,
+        22.650000000000187,
+        22.700000000000188,
+        22.75000000000019,
+        22.80000000000019,
+        22.85000000000019,
+        22.90000000000019,
+        22.95000000000019,
+        23.000000000000192,
+        23.050000000000193,
+        23.100000000000193,
+        23.150000000000194,
+        23.200000000000195,
+        23.250000000000195,
+        23.300000000000196,
+        23.350000000000197,
+        23.400000000000198,
+        23.4500000000002,
+        23.5000000000002,
+        23.5500000000002,
+        23.6000000000002,
+        23.6500000000002,
+        23.700000000000202,
+        23.750000000000203,
+        23.800000000000203,
+        23.850000000000204,
+        23.900000000000205,
+        23.950000000000205,
+        24.000000000000206,
+        24.050000000000207,
+        24.100000000000207,
+        24.150000000000208,
+        24.20000000000021,
+        24.25000000000021,
+        24.30000000000021,
+        24.35000000000021,
+        24.40000000000021,
+        24.450000000000212,
+        24.500000000000213,
+        24.550000000000214,
+        24.600000000000215,
+        24.650000000000215,
+        24.700000000000216,
+        24.750000000000217,
+        24.800000000000217,
+        24.850000000000218,
+        24.90000000000022,
+        24.95000000000022,
+        25.00000000000022,
+        25.05000000000022,
+        25.10000000000022,
+        25.150000000000222,
+        25.200000000000223,
+        25.250000000000224,
+        25.300000000000225,
+        25.350000000000225,
+        25.400000000000226,
+        25.450000000000227,
+        25.500000000000227,
+        25.550000000000228,
+        25.60000000000023,
+        25.65000000000023,
+        25.70000000000023,
+        25.75000000000023,
+        25.80000000000023,
+        25.850000000000232,
+        25.900000000000233,
+        25.950000000000234,
+        26.000000000000234,
+        26.050000000000235,
+        26.100000000000236,
+        26.150000000000237,
+        26.200000000000237,
+        26.250000000000238,
+        26.30000000000024,
+        26.35000000000024,
+        26.40000000000024,
+        26.45000000000024,
+        26.50000000000024,
+        26.550000000000242,
+        26.600000000000243,
+        26.650000000000244,
+        26.700000000000244,
+        26.750000000000245,
+        26.800000000000246,
+        26.850000000000247,
+        26.900000000000247,
+        26.950000000000248,
+        27.00000000000025,
+        27.05000000000025,
+        27.10000000000025,
+        27.15000000000025,
+        27.20000000000025,
+        27.250000000000252,
+        27.300000000000253,
+        27.350000000000254,
+        27.400000000000254,
+        27.450000000000255,
+        27.500000000000256,
+        27.550000000000257,
+        27.600000000000257,
+        27.650000000000258,
+        27.70000000000026,
+        27.75000000000026,
+        27.80000000000026,
+        27.85000000000026,
+        27.90000000000026,
+        27.950000000000262,
+        28.000000000000263,
+        28.050000000000264,
+        28.100000000000264,
+        28.150000000000265,
+        28.200000000000266,
+        28.250000000000266,
+        28.300000000000267,
+        28.350000000000268,
+        28.40000000000027,
+        28.45000000000027,
+        28.50000000000027,
+        28.55000000000027,
+        28.60000000000027,
+        28.650000000000272,
+        28.700000000000273,
+        28.750000000000274,
+        28.800000000000274,
+        28.850000000000275,
+        28.900000000000276,
+        28.950000000000276,
+        29.000000000000277,
+        29.050000000000278,
+        29.10000000000028,
+        29.15000000000028,
+        29.20000000000028,
+        29.25000000000028,
+        29.30000000000028,
+        29.350000000000282,
+        29.400000000000283,
+        29.450000000000284,
+        29.500000000000284,
+        29.550000000000285,
+        29.600000000000286,
+        29.650000000000286,
+        29.700000000000287,
+        29.750000000000288,
+        29.80000000000029,
+        29.85000000000029,
+        29.90000000000029,
+        29.95000000000029,
+        30.00000000000029,
+        30.050000000000292,
+        30.100000000000293,
+        30.150000000000293,
+        30.200000000000294,
+        30.250000000000295,
+        30.300000000000296,
+        30.350000000000296,
+        30.400000000000297,
+        30.450000000000298,
+        30.5000000000003,
+        30.5500000000003,
+        30.6000000000003,
+        30.6500000000003,
+        30.7000000000003,
+        30.750000000000302,
+        30.800000000000303,
+        30.850000000000303,
+        30.900000000000304,
+        30.950000000000305,
+        31.000000000000306,
+        31.050000000000306,
+        31.100000000000307,
+        31.150000000000308,
+        31.20000000000031,
+        31.25000000000031,
+        31.30000000000031,
+        31.35000000000031,
+        31.40000000000031,
+        31.450000000000312,
+        31.500000000000313,
+        31.550000000000313,
+        31.600000000000314,
+        31.650000000000315,
+        31.700000000000315,
+        31.750000000000316,
+        31.800000000000317,
+        31.850000000000318,
+        31.90000000000032,
+        31.95000000000032,
+        32.00000000000032,
+        32.05000000000032,
+        32.100000000000314,
+        32.15000000000031,
+        32.20000000000031,
+        32.250000000000306,
+        32.3000000000003,
+        32.3500000000003,
+        32.4000000000003,
+        32.450000000000294,
+        32.50000000000029,
+        32.55000000000029,
+        32.600000000000286,
+        32.65000000000028,
+        32.70000000000028,
+        32.75000000000028,
+        32.800000000000274,
+        32.85000000000027,
+        32.90000000000027,
+        32.950000000000266,
+        33.00000000000026
+    ],
+    "x": [
+        1733.0000000000002,
+        1732.9549869091406,
+        1732.9446800320836,
+        1732.929920967524,
+        1732.9113690801405,
+        1732.8889422986515,
+        1732.8625709797407,
+        1732.8321806369909,
+        1732.7976940128733,
+        1732.7590327140597,
+        1732.7161190154156,
+        1732.6688777960399,
+        1732.6172385928828,
+        1732.561137754432,
+        1732.5005206749588,
+        1732.4353440877635,
+        1732.3655783938095,
+        1732.2912100001772,
+        1732.2122436408813,
+        1732.1287046508714,
+        1732.040641162514,
+        1731.9481261925612,
+        1731.8512595866155,
+        1731.750169787456,
+        1731.645015393312,
+        1731.5359864723532,
+        1731.423305600289,
+        1731.3072285891467,
+        1731.1880448769928,
+        1731.066077550659,
+        1730.9416829764245,
+        1730.8152500171095,
+        1730.687198818186,
+        1730.5434842386667,
+        1730.432312242946,
+        1730.298818797446,
+        1730.1813190407674,
+        1730.0528566244252,
+        1729.931200327152,
+        1729.8059061054,
+        1729.6838475567051,
+        1729.5621302095915,
+        1729.4432516853412,
+        1729.3269993787458,
+        1729.2144569252082,
+        1729.1061501120862,
+        1729.0028642283137,
+        1728.9052853235958,
+        1728.8141295129724,
+        1728.730081565063,
+        1728.653802864737,
+        1728.5859151704478,
+        1728.5269916986913,
+        1728.4775457727874,
+        1728.4380200536616,
+        1728.4087757582702,
+        1728.390082265652,
+        1728.3821073014087,
+        1728.3849079651222,
+        1728.3984228713216,
+        1728.4224656876465,
+        1728.4567207224923,
+        1728.5007364367048,
+        1728.5539093231375,
+        1728.6155030453924,
+        1728.6846545322373,
+        1728.7603839244357,
+        1728.8416076088874,
+        1728.9271542415502,
+        1729.0157835592154,
+        1729.1062076878088,
+        1729.197114560478,
+        1729.2871929660166,
+        1729.375158661157,
+        1730.6762254750943,
+        1732.6646190742504,
+        1735.128914856424,
+        1736.2236777821922,
+        1736.1330568233725,
+        1735.3205637098495,
+        1736.1000424974513,
+        1738.0160975208241,
+        1740.5858666730821,
+        1743.6131255472822,
+        1747.018728502584,
+        1750.771018036702,
+        1753.7154064716278,
+        1757.4979917517294,
+        1761.8142304734383,
+        1766.5312841273098,
+        1771.1918006180108,
+        1776.3416702317318,
+        1781.8542801840663,
+        1786.5491987660475,
+        1792.0385763364648,
+        1797.994239196291,
+        1804.265969970662,
+        1810.7800601554645,
+        1817.4942371753377,
+        1824.378373698967,
+        1830.7758084686525,
+        1837.6298974008212,
+        1844.7281625276155,
+        1851.965219207067,
+        1859.2833313324545,
+        1866.3428866741683,
+        1873.6225348454184,
+        1880.984768857521,
+        1888.3548393305289,
+        1895.6878038266968,
+        1902.9636151114553,
+        1910.2959046307028,
+        1917.5317040027642,
+        1924.642507696052,
+        1931.5990925113788,
+        1938.3766762817422,
+        1945.445715934115,
+        1952.169949447278,
+        1958.6059542526139,
+        1964.7633412227046,
+        1970.6354088372473,
+        1976.207854106301,
+        1982.3537655904834,
+        1987.8717703047705,
+        1992.9188442712784,
+        1997.5510608752556,
+        2002.9159632976273,
+        2007.4859033047348,
+        2011.4881118635938,
+        2015.0106121259525,
+        2018.0853034737606,
+        2020.7196483618889,
+        2022.987182242226,
+        2026.1719591416747,
+        2028.3606077949346,
+        2029.858470225047,
+        2030.794182410084,
+        2032.7378908305986,
+        2033.6117741807052,
+        2033.762372074516,
+        2033.33897424565,
+        2032.4075472975298,
+        2030.9980725076666,
+        2030.6089160737117,
+        2029.170011940744,
+        2027.0269628411343,
+        2024.3351293976102,
+        2021.9156282817362,
+        2018.7506988853263,
+        2015.0361086701544,
+        2011.415676243893,
+        2007.7384838310986,
+        2003.334161328589,
+        1998.4203640324902,
+        1994.360833648268,
+        1989.4044142894222,
+        1983.890032191586,
+        1977.9786198307775,
+        1971.7516120306193,
+        1965.2562304448604,
+        1958.5257331273049,
+        1952.3761711386333,
+        1945.6667656672475,
+        1938.6278835378598,
+        1931.3773792525708,
+        1923.9813806717375,
+        1916.8010471865769,
+        1909.3674218297053,
+        1902.1986482664693,
+        1894.7381589218444,
+        1887.149450225881,
+        1879.5251705865758,
+        1871.920288386919,
+        1864.37347378424,
+        1856.917167844857,
+        1849.4952285414442,
+        1842.2185388450232,
+        1835.1179898371438,
+        1827.7649745497972,
+        1820.7311488454905,
+        1813.979289768487,
+        1807.509206831358,
+        1800.6033617481016,
+        1794.2043106450217,
+        1788.2098197665227,
+        1782.589168643662,
+        1777.3389578209305,
+        1772.468182188281,
+        1766.9121943313833,
+        1761.7598242600066,
+        1757.2929318979975,
+        1753.3724172679272,
+        1749.9437086828957,
+        1746.9886740204083,
+        1744.5056229058277,
+        1741.132270134267,
+        1738.3870333196264,
+        1736.4580740569036,
+        1735.1657315526386,
+        1733.8123532307604,
+        1733.2019364232285,
+        1733.198765333637,
+        1732.824972091094,
+        1731.480942275211,
+        1731.468001076018,
+        1730.3958930809063,
+        1729.3251402281894,
+        1727.2077755648659,
+        1724.4444295267463,
+        1721.8143700657483,
+        1718.5516926641158,
+        1714.812626992898,
+        1710.6669774857546,
+        1707.5239315611745,
+        1703.4717521802183,
+        1698.8208406518102,
+        1693.717918066789,
+        1688.235951502823,
+        1682.4156478205166,
+        1676.284542428681,
+        1669.8657462915498,
+        1663.181866255391,
+        1656.2566653544332,
+        1649.1156693453647,
+        1641.7862873130064,
+        1634.5166451670998,
+        1627.612004610632,
+        1620.2499446588015,
+        1612.6367720836572,
+        1604.888554786286,
+        1597.074247156109,
+        1589.2413949128877,
+        1581.521617959085,
+        1573.7340223633455,
+        1565.9661303005573,
+        1558.2764471473477,
+        1550.5125476227367,
+        1542.8790178180157,
+        1535.4052502446193,
+        1528.1235855786244,
+        1521.0631059661614,
+        1514.2516157334603,
+        1507.070722205815,
+        1500.3412198116785,
+        1493.997340855413,
+        1488.0241962732152,
+        1481.6946050116967,
+        1475.9513496291727,
+        1470.696858201929,
+        1465.8975694877395,
+        1461.5471314914817,
+        1457.3017376240582,
+        1452.2899436268685,
+        1448.2273696569723,
+        1444.8590239733223,
+        1442.0774554150187,
+        1439.837906167259,
+        1438.1240512477684,
+        1436.9324412304677,
+        1434.816129472748,
+        1433.7146211993759,
+        1433.3648230506783,
+        1433.645001969477,
+        1432.946749766189,
+        1433.3312215814158,
+        1434.490550719117,
+        1436.278904572842,
+        1438.6239578825785,
+        1441.4869424830288,
+        1443.4078637905102,
+        1446.3317252551094,
+        1449.9639520393234,
+        1454.1578364808104,
+        1457.4584412718625,
+        1461.7199224693177,
+        1466.6368737413945,
+        1472.054279228656,
+        1477.887992055922,
+        1484.0863071940882,
+        1490.1587220695747,
+        1496.71634934333,
+        1503.5483229985643,
+        1509.8157829651673,
+        1516.714760363579,
+        1524.0065783310893,
+        1531.5596646538143,
+        1539.061737088162,
+        1546.8151480297902,
+        1554.7173620564874,
+        1562.3466937890798,
+        1570.2295607829851,
+        1578.2270966376927,
+        1586.2532202281886,
+        1594.2507347002029,
+        1602.1757605702533,
+        1610.0574619950767,
+        1618.0411085712742,
+        1625.8740091213376,
+        1633.5353938295893,
+        1640.9918198769415,
+        1648.7110543078654,
+        1656.0926430738164,
+        1663.164114522079,
+        1669.9194881682004,
+        1676.3424180048692,
+        1682.41182687543,
+        1688.1041409591003,
+        1693.3947334488178,
+        1698.259001207744,
+        1702.673163455992,
+        1706.6148427357562,
+        1711.2129301260156,
+        1715.915973043379,
+        1719.6499944620364,
+        1722.653741319194,
+        1725.0315374820245,
+        1726.8288811045359,
+        1729.1609744116051,
+        1730.5939901746851,
+        1732.9708205261836,
+        1734.18537308124,
+        1734.567563173054,
+        1734.2715560358324,
+        1733.3718812060533,
+        1733.4688870346952,
+        1734.5223383076245,
+        1736.5333334543616,
+        1739.188425631352,
+        1742.3456019200044,
+        1745.9415177170472,
+        1749.948528531516,
+        1754.354112644466,
+        1757.5691630771867,
+        1761.7412339251177,
+        1766.56964199404,
+        1771.9025295675706,
+        1777.6590915429924,
+        1783.7913511202369,
+        1790.2655635694655,
+        1797.0532090529605,
+        1804.1267146917053,
+        1811.457519336499,
+        1819.0152964023423,
+        1826.767745024704,
+        1834.1188318805173,
+        1841.8659266135592,
+        1849.846250165861,
+        1857.9604736344922,
+        1865.846400171186,
+        1873.9436405856695,
+        1882.1269446406823,
+        1890.3138543351747,
+        1898.446747269761,
+        1906.5913421178843,
+        1914.6605238613593,
+        1922.6006856404383,
+        1930.3651067426463,
+        1937.9146530224782,
+        1945.725617801268,
+        1953.1840780364973,
+        1960.3096398977173,
+        1967.093089045573,
+        1973.515773678609,
+        1979.5547756631522,
+        1986.1304578650163,
+        1992.0481632157596,
+        1997.4115419290088,
+        2003.1898785755052,
+        2008.2192602821615,
+        2012.6290985524497,
+        2016.4712587534939,
+        2019.7634621465304,
+        2022.5074144224136,
+        2024.747509967276,
+        2027.8287502194928,
+        2029.9178745574986,
+        2031.2307078259262,
+        2031.869422690077,
+        2032.0127923554041,
+        2033.0720720548616,
+        2033.0436222955298,
+        2032.196678512114,
+        2030.6648773470597,
+        2030.0713554252743,
+        2028.399305234538,
+        2025.9306642398305,
+        2022.809438173013,
+        2019.1136815220152,
+        2014.8901662631947,
+        2010.1714852458374,
+        2004.9846283128334,
+        2000.5657566756486,
+        1995.4073208232958,
+        1989.5983071642913,
+        1983.2912594235931,
+        1977.6625793197377,
+        1971.2739525997704,
+        1964.367276555935,
+        1957.0803165988132,
+        1949.4975707111607,
+        1941.6779079750786,
+        1934.2907259152962,
+        1927.0293283020492,
+        1919.2581418764366,
+        1911.1836194519346,
+        1902.9335169377478,
+        1894.5891626895943,
+        1886.2086354577305,
+        1877.8393640301742,
+        1869.5243093369443,
+        1861.3047556651436,
+        1853.2214164466523,
+        1845.2323869006987,
+        1837.0597715274703,
+        1829.166207761365,
+        1821.5523333388944,
+        1814.2408457187091,
+        1806.5742348473104,
+        1799.3823213463643,
+        1792.6163383758403,
+        1786.2711749171117,
+        1779.9686887441285,
+        1774.1956567336233,
+        1768.9303612889994,
+        1763.0154793760407,
+        1757.8993488525587,
+        1753.4408497150775,
+        1749.5825208507495,
+        1746.303557101582,
+        1743.6003712591287,
+        1740.0824470361301,
+        1737.5326111261124,
+        1735.759719465911,
+        1734.6731583594224,
+        1734.2289935431127,
+        1732.9019427112567,
+        1732.625241354466,
+        1732.272338716477,
+        1730.9681073040174,
+        1731.014156666158,
+        1730.0247451684604,
+        1727.9861132229398,
+        1725.2098500634522,
+        1721.8570960105312,
+        1718.0058858116072,
+        1713.6948812654664,
+        1708.9450003499903,
+        1703.7704004510201,
+        1698.1840778067817,
+        1692.2006582899949,
+        1685.8377028471002,
+        1679.1162246732638,
+        1673.1140069859105,
+        1666.4117802735475,
+        1659.2228262667804,
+        1651.6723819356653,
+        1643.8402838351362,
+        1635.7843858685683,
+        1628.1407030672876,
+        1620.0932199760493,
+        1611.8017736097352,
+        1603.3689615509966,
+        1594.865839947237,
+        1586.3479023710447,
+        1577.9303024887167,
+        1569.4670467414144,
+        1561.044195811966,
+        1552.7279144580125,
+        1544.319471439025,
+        1536.0834117079053,
+        1528.0553194261333,
+        1520.2757326334834,
+        1512.7824811886733,
+        1505.611490149189,
+        1498.664324011514,
+        1491.8967017521118,
+        1484.6407168122519,
+        1478.058276340097,
+        1472.0423863378187,
+        1466.5588043159773,
+        1461.6023087967556,
+        1457.1808536155336,
+        1453.308499507506,
+        1448.714057464429,
+        1445.0199446331062,
+        1442.0742863224873,
+        1438.3194235861308,
+        1435.603428490952,
+        1433.7084534553,
+        1432.530886716073,
+        1432.0200466443625,
+        1432.1505928090323,
+        1432.9089571093864,
+        1434.2862313096891,
+        1435.3537982367532,
+        1435.5588187328,
+        1437.008197051401,
+        1439.368383099318,
+        1442.4638664940132,
+        1446.1973793546426,
+        1450.510043249617,
+        1455.3612396965168,
+        1460.7182309331047,
+        1466.5507815501699,
+        1471.6903597182354,
+        1476.1625510186318,
+        1481.7118503229542,
+        1487.9975307682198,
+        1494.8215476091916,
+        1502.0659304091364,
+        1509.6537465380352,
+        1517.527984226523,
+        1525.6405853784381,
+        1533.9469192598494,
+        1542.4031209696323,
+        1550.9649207241664,
+        1559.3126592224637,
+        1567.4985211423689,
+        1575.9621151219815,
+        1584.5681564415063,
+        1593.2104769631424,
+        1601.8129012332852,
+        1610.3168918954625,
+        1618.6727330606595,
+        1626.8348012546273,
+        1634.7594025556714,
+        1642.9227848028736,
+        1651.3841832597964,
+        1659.3850880248124,
+        1666.9977083736117,
+        1674.2237683530218,
+        1681.0458153453378,
+        1687.4398894951628,
+        1693.3792031979992,
+        1698.835843616735,
+        1703.7819715601518,
+        1708.1907752322127,
+        1712.037223855585,
+        1715.717353535237,
+        1720.1109595063326,
+        1723.4857801094786,
+        1726.0370304757384,
+        1727.856723589132,
+        1730.194050800377,
+        1732.5585207317786,
+        1734.0979125807703,
+        1735.1460886947702,
+        1735.8414367246373,
+        1736.2556759978906,
+        1736.4365626710041,
+        1736.4221890248114,
+        1736.245639752945,
+        1735.9364768928776,
+        1735.5212439091438,
+        1735.0236920476373,
+        1734.4649389409337,
+        1733.8636161725012,
+        1733.2360185227296,
+        1732.5962563062446,
+        1731.9564097941488,
+        1731.3266843901151,
+        1730.7155652585661,
+        1730.1299701378084,
+        1729.5753990917433,
+        1729.0560799926852,
+        1728.5751086068904,
+        1728.1345822784303,
+        1727.7357263689482,
+        1727.379012821354,
+        1727.0642703922651,
+        1726.7907861292906,
+        1726.5573981825275,
+        1726.362579986836,
+        1726.2045160065418,
+        1726.0811693461294,
+        1725.9903416111965,
+        1725.9297254611758,
+        1725.8969503322255,
+        1725.889621828655,
+        1725.9053552875137,
+        1725.9418040166352,
+        1725.9966826941204,
+        1726.0677863992687,
+        1726.1530057230862,
+        1726.2503383821866,
+        1726.3578977342086,
+        1726.473918566624,
+        1726.596760504507,
+        1726.7249093569826,
+        1726.8569766967648,
+        1726.9916979427885,
+        1727.1279291923388,
+        1727.2646430265372,
+        1727.4009234914256,
+        1727.5359604363507,
+        1727.6690433718184,
+        1727.7995549905036,
+        1727.9269644777025,
+        1728.0397179240654,
+        1728.1482594449508,
+        1728.250692027662,
+        1728.3473416660124,
+        1728.4381788401236,
+        1728.5232516180095,
+        1728.6026104502089,
+        1728.6763158146282,
+        1728.7444333483777,
+        1728.807031173822,
+        1728.8641772139122,
+        1728.9159367794693,
+        1728.962370363842,
+        1729.0035316287224,
+        1729.039465560787,
+        1729.0702067814877,
+        1729.0957779942623,
+        1729.116188555583,
+        1729.1314331585177,
+        1729.1414906198943,
+        1729.1463227646977,
+        1729.1458734040898,
+        1729.1400674063998,
+        1729.1288098636333,
+        1729.1119853595667,
+        1729.0894573492935,
+        1729.061067664311,
+        1729.0387233654783,
+        1729.010347799933,
+        1728.9881186034909,
+        1728.9597567432047,
+        1728.9376437505887,
+        1728.9092952576311,
+        1728.8872995661443,
+        1728.8589641014619,
+        1728.8370868047425,
+        1728.808764028167,
+        1728.7870062161924,
+        1728.7586957864496,
+        1728.7370585455403,
+        1728.7087601202597,
+        1728.6872445330823,
+        1728.6589577688055,
+        1728.6375649143788,
+        1728.6092894665658,
+        1728.5880204202667,
+        1728.5597559433072,
+        1728.5386117768762,
+        1728.5103579240954,
+        1728.4893397056437,
+        1728.4610961293115,
+        1728.4402049233286,
+        1728.4119712746674,
+        1728.3912081420285,
+        1728.362984071221,
+        1728.3423500691956,
+        1728.3141352253924,
+        1728.2936314076542,
+        1728.2654254389818,
+        1728.2450528556178,
+        1728.2168554091845,
+        1728.1966151067056
+    ],
+    "y": [
+        -406.0866103896103,
+        -406.25975515979167,
+        -406.5194210449162,
+        -406.86553378568937,
+        -407.29803795973584,
+        -407.8168758013001,
+        -408.42198809720367,
+        -409.1133142065918,
+        -409.89079212497967,
+        -410.7543585653848,
+        -411.7039490589874,
+        -412.73949807627633,
+        -413.86093916927723,
+        -415.06820513495234,
+        -416.36122819925185,
+        -417.7399402205939,
+        -419.20427291077567,
+        -420.7541580704862,
+        -422.38952783571796,
+        -424.110314930507,
+        -425.91645292058524,
+        -427.80787646174906,
+        -429.78452153607975,
+        -431.84632566862626,
+        -433.99322811682515,
+        -436.2251700248289,
+        -438.54209453506917,
+        -440.94394684983376,
+        -443.43067423639775,
+        -446.00222597033576,
+        -448.6585532130483,
+        -451.39960882123813,
+        -454.2253470880546,
+        -457.1352093159518,
+        -460.13082966144805,
+        -463.21021240698946,
+        -466.37467830075553,
+        -469.62317470068393,
+        -472.95629397766277,
+        -476.3735760119704,
+        -479.8752066779274,
+        -483.46100251779274,
+        -487.1309787313204,
+        -490.8853940976961,
+        -494.7260848133276,
+        -498.65486726581145,
+        -502.673601413868,
+        -506.7841780820376,
+        -510.98852414437783,
+        -515.2886014133213,
+        -519.6864079776981,
+        -524.1839789786789,
+        -528.7833878052007,
+        -533.4867474184992,
+        -538.2962118785376,
+        -543.2139780359055,
+        -548.2422873681851,
+        -553.3834279247949,
+        -558.6397363368424,
+        -564.0135998411542,
+        -569.5074582627371,
+        -575.1236347875838,
+        -580.863336724404,
+        -586.7278005435081,
+        -592.7182795319432,
+        -598.8360439183401,
+        -605.0823805422556,
+        -611.4585922277395,
+        -617.9659968980009,
+        -624.6059264900996,
+        -631.3797257455446,
+        -638.2887509645,
+        -645.334368816521,
+        -652.5179552984847,
+        -659.6631353279812,
+        -666.7142280029625,
+        -673.6331750441825,
+        -680.7486085186431,
+        -688.0499021506193,
+        -695.3897322572502,
+        -702.5611000410275,
+        -709.6031733028278,
+        -716.496463961101,
+        -723.2190755902807,
+        -729.753964331867,
+        -736.0844399201844,
+        -742.6933596250133,
+        -748.9225752109319,
+        -754.8372975443854,
+        -760.4540363343942,
+        -766.0497163384605,
+        -771.2441135550341,
+        -776.073185638881,
+        -781.610339800817,
+        -786.3998546061941,
+        -790.6630822821154,
+        -794.4828955734888,
+        -797.8876316713067,
+        -800.8821984334186,
+        -803.4614270713172,
+        -806.9446418974873,
+        -809.478467468468,
+        -811.359099575597,
+        -812.7076717088921,
+        -813.5735733526753,
+        -815.4521885973659,
+        -816.2827255543546,
+        -816.412037754136,
+        -815.9867955308353,
+        -815.0705538702856,
+        -813.8994472027289,
+        -813.7460645027104,
+        -812.4717543620965,
+        -810.4772291366123,
+        -807.9373660651072,
+        -804.9317952394656,
+        -802.9256428869137,
+        -799.9054208710513,
+        -796.2365410026358,
+        -792.083048970195,
+        -787.5228841677281,
+        -782.5976074301902,
+        -778.5298972759178,
+        -773.6110442782176,
+        -768.1615217301013,
+        -762.3312300872658,
+        -757.2510254830283,
+        -751.419397627265,
+        -745.1396098952871,
+        -738.5563016701955,
+        -731.7437684483109,
+        -724.7466837149882,
+        -717.6321907608703,
+        -710.9375937103064,
+        -703.8354268992551,
+        -696.5197596249412,
+        -689.0915991580166,
+        -681.9199893261621,
+        -674.52124391247,
+        -667.0350510126095,
+        -659.5394259952277,
+        -652.0818444658933,
+        -644.6972060797101,
+        -637.2576834593174,
+        -629.9252866181462,
+        -622.7300063734535,
+        -615.7013208027458,
+        -608.6328199161273,
+        -601.8236509006983,
+        -595.2712871306519,
+        -588.7151886137526,
+        -582.1991278309943,
+        -576.1029108510866,
+        -570.3747421362748,
+        -564.07396049695,
+        -558.4247096029835,
+        -553.2618392885435,
+        -548.5260315678975,
+        -544.1996903718941,
+        -540.2837511956894,
+        -536.7875193438201,
+        -532.466674045291,
+        -529.0314831689481,
+        -526.2400443753911,
+        -523.9920752979377,
+        -522.2468914195099,
+        -519.9717104040685,
+        -518.554283179451,
+        -516.1605267553568,
+        -514.9299549896118,
+        -514.4734252581432,
+        -514.6220342412319,
+        -515.3006288879445,
+        -516.4751231239487,
+        -518.1291495385585,
+        -519.6926336722295,
+        -521.9364935859841,
+        -524.7326580183047,
+        -526.5736169182248,
+        -529.444726655324,
+        -533.0037096814222,
+        -537.0896271715467,
+        -540.2523952871716,
+        -544.3806488088541,
+        -549.1366546919866,
+        -554.3587840899803,
+        -559.9646168599252,
+        -565.9064598685143,
+        -571.1122761722816,
+        -576.7228364489736,
+        -582.9396015431722,
+        -589.5496019158827,
+        -596.4437185396358,
+        -603.5596672179955,
+        -610.8552485231164,
+        -617.7080894806966,
+        -624.8422853714392,
+        -632.2782657984781,
+        -639.878631017431,
+        -647.426038448148,
+        -655.1047639777868,
+        -662.8278320637424,
+        -670.484252661829,
+        -678.0753956944138,
+        -685.7565914897403,
+        -693.3978428419242,
+        -701.039809013884,
+        -708.5933680855281,
+        -716.0032428011757,
+        -723.3588971667084,
+        -730.5129700915234,
+        -737.4436518301089,
+        -744.1315508382525,
+        -751.1744503100938,
+        -757.8036863576328,
+        -764.0789121500143,
+        -770.0132648083147,
+        -775.602152200695,
+        -780.8323232590452,
+        -785.6860593061646,
+        -790.143637496971,
+        -794.1848949395248,
+        -797.7902382489943,
+        -800.9413013540152,
+        -803.6213816391489,
+        -806.3248378008393,
+        -809.8741640639566,
+        -812.320096715526,
+        -813.991953426799,
+        -815.0344395651839,
+        -815.5125376328446,
+        -815.4553730901362,
+        -816.2896253178553,
+        -816.1025821196795,
+        -815.1760363026027,
+        -813.6416516632742,
+        -813.1037829426118,
+        -811.4903111417586,
+        -809.1283082444922,
+        -806.1733994654576,
+        -802.7035918063707,
+        -798.7618662103657,
+        -795.7172579251078,
+        -791.728802625821,
+        -787.0938666742072,
+        -781.9607440143529,
+        -777.382243945579,
+        -772.0380236319709,
+        -766.1703389026281,
+        -759.9043551725824,
+        -753.3108772475027,
+        -746.6970959327615,
+        -740.6610503468366,
+        -733.9443952509309,
+        -726.812285426909,
+        -719.4069395739884,
+        -711.8094227616563,
+        -704.0728388864882,
+        -696.238321727473,
+        -688.6737835524284,
+        -680.8748596330926,
+        -672.9733864104112,
+        -665.050171110975,
+        -657.2094659980423,
+        -649.328383936531,
+        -641.487830064088,
+        -633.7455369939169,
+        -626.14398976302,
+        -618.7187945320284,
+        -611.0681345644053,
+        -603.7186716457256,
+        -596.6547688237331,
+        -589.8866244741757,
+        -582.7044906598721,
+        -576.0246056224205,
+        -569.766136626682,
+        -563.9076443266107,
+        -558.4505632469347,
+        -553.4068505511057,
+        -548.2998998262478,
+        -543.7784709991249,
+        -539.6742087981318,
+        -534.8057068123393,
+        -530.8599688627432,
+        -527.6104224994453,
+        -524.9599746218095,
+        -522.2961625414529,
+        -520.3526385293935,
+        -519.0312248962694,
+        -516.7786469299699,
+        -515.5776872026859,
+        -515.152483023902,
+        -515.3745982800165,
+        -516.1822080336863,
+        -517.5441758034742,
+        -518.8502077258904,
+        -519.2270423062748,
+        -520.7960706632039,
+        -523.1881336961408,
+        -526.2231101528062,
+        -528.2908215589601,
+        -531.4045229795845,
+        -535.2476574651043,
+        -539.6612704641313,
+        -544.560671948425,
+        -549.8955222999308,
+        -555.6306582512038,
+        -561.7368400307706,
+        -568.1863306932665,
+        -574.9508516196934,
+        -582.0007090070565,
+        -588.5673743395218,
+        -595.0798657906482,
+        -602.1995753293215,
+        -609.6952050657111,
+        -617.4357107301918,
+        -625.3419144013262,
+        -633.0350555083514,
+        -640.978822857161,
+        -648.6816967672889,
+        -656.6537994877001,
+        -664.7481797788137,
+        -672.8706239711239,
+        -680.9593004036285,
+        -689.0214283549702,
+        -697.0990191296667,
+        -705.1291688059871,
+        -713.0305163822068,
+        -720.7519529011404,
+        -728.260800441486,
+        -735.5313359305238,
+        -742.5390787826599,
+        -749.9693590993627,
+        -756.9695325991609,
+        -763.5889306867175,
+        -769.834207170476,
+        -775.696645198673,
+        -781.1601225998085,
+        -786.2045942696075,
+        -790.80822696363,
+        -794.9488746409609,
+        -798.6051147320401,
+        -801.7569736105218,
+        -804.3864353933691,
+        -807.8302058414832,
+        -810.3212434107734,
+        -812.0636102606331,
+        -813.1519872629121,
+        -815.1458705392396,
+        -816.0800432986085,
+        -816.2143002434249,
+        -815.67360453161,
+        -814.5206253886375,
+        -814.3062715476344,
+        -813.0358454361931,
+        -810.980925301623,
+        -808.2782177740152,
+        -805.0007502163637,
+        -802.632994394226,
+        -799.266659195332,
+        -795.1764629235199,
+        -790.506265218917,
+        -785.3368907995598,
+        -779.7194583234209,
+        -774.8575964620686,
+        -769.1831487736936,
+        -762.940133781798,
+        -757.1396907924891,
+        -750.6437199206725,
+        -743.6736487632877,
+        -736.3546260091878,
+        -728.7637344853272,
+        -720.9554121504838,
+        -712.9942252467717,
+        -705.3880420053291,
+        -697.4320000010653,
+        -689.2797213342344,
+        -681.0278306390347,
+        -672.7567348164938,
+        -664.6008696393767,
+        -656.3611921671452,
+        -648.1315029090013,
+        -639.9803252333277,
+        -631.7657310847844,
+        -623.6811219251322,
+        -615.7667635026394,
+        -608.0639888844473,
+        -600.6094856605883,
+        -593.4374067936144,
+        -586.5809360720355,
+        -580.0727610472388,
+        -573.1024777302581,
+        -566.6430171829272,
+        -560.7166089613071,
+        -555.290144291309,
+        -549.2321747442713,
+        -543.956192550824,
+        -539.3187626773631,
+        -535.2624966175615,
+        -531.7672642740802,
+        -528.8303544060641,
+        -525.0853460374199,
+        -521.0468040725821,
+        -518.1287400021099,
+        -516.0435582295628,
+        -514.6589638408013,
+        -513.9124919799735,
+        -513.7745330484674,
+        -514.230840477849,
+        -515.2736519432453,
+        -516.897013513892,
+        -519.0942896989529,
+        -521.4932234240448,
+        -523.0605360177619,
+        -525.7149970101674,
+        -529.1677819218877,
+        -533.2660603763164,
+        -536.5227051435327,
+        -540.7597210483744,
+        -545.705612598241,
+        -551.2126038437086,
+        -556.7019845590567,
+        -562.7879856428123,
+        -569.3414230267214,
+        -575.2320067591322,
+        -581.8515933608202,
+        -588.9701402857645,
+        -596.4540130571031,
+        -604.2195112411562,
+        -612.2071670136656,
+        -619.7918313585392,
+        -627.7764067965281,
+        -636.0005300714416,
+        -644.3622903723588,
+        -652.7916846416665,
+        -661.0609089283657,
+        -669.452183733656,
+        -677.8270755526033,
+        -686.1600960157725,
+        -694.5561588588168,
+        -702.9329692379922,
+        -711.246606211568,
+        -719.4201229867598,
+        -727.395985494867,
+        -735.1346172005047,
+        -742.6047912729059,
+        -749.7777300622603,
+        -756.6245965854937,
+        -763.1158510987975,
+        -769.221448433407,
+        -774.9113448980635,
+        -780.1560728436716,
+        -786.063029758983,
+        -791.2101127337376,
+        -795.7146853998257,
+        -799.623503912911,
+        -802.9520127030817,
+        -805.700856356508,
+        -809.2667661735524,
+        -811.8665479852357,
+        -813.6845859156921,
+        -814.8086629624058,
+        -815.2815157557438,
+        -815.124401217927,
+        -815.8513466425999,
+        -815.5319292616015,
+        -814.3910409373646,
+        -812.5453071722958,
+        -811.5899535294523,
+        -809.5658463393512,
+        -806.7305375723417,
+        -803.2212826756693,
+        -799.1162891468412,
+        -794.4651713336282,
+        -789.5307080604994,
+        -784.3863171317412,
+        -779.9731817347563,
+        -774.6062813418469,
+        -768.5635293610712,
+        -762.0034374548474,
+        -755.0221943341916,
+        -747.6850986854448,
+        -740.0429391214407,
+        -732.896186865425,
+        -725.2227368021,
+        -717.200286526747,
+        -709.5610073575054,
+        -701.4812319499775,
+        -693.1352049299171,
+        -684.6357350603517,
+        -676.0597476447556,
+        -667.4659333735988,
+        -658.904444639507,
+        -650.4217147434381,
+        -641.9608975023581,
+        -633.4059480274102,
+        -624.9932187626353,
+        -616.7535735567078,
+        -608.7328355222705,
+        -600.9733525780586,
+        -593.5139912296111,
+        -586.3918201906368,
+        -579.642932254364,
+        -573.3025271912795,
+        -566.4742065772326,
+        -559.1063853724195,
+        -552.5907508883745,
+        -546.7328099743752,
+        -541.4619928367717,
+        -536.7556024003161,
+        -532.6120248165977,
+        -529.0395771374117,
+        -526.0509194697379,
+        -523.6598755951105,
+        -521.87950698039,
+        -520.7209173779485,
+        -518.7623846125476,
+        -515.9767745615779,
+        -514.5296234617656,
+        -514.0608691155633,
+        -514.3923962105614,
+        -515.4321927404692,
+        -517.12987823495,
+        -519.4550777335065,
+        -522.3863103155179,
+        -525.9050995525151,
+        -528.6088589362232,
+        -530.5023718118309,
+        -533.6873753105085,
+        -537.7847982149738,
+        -542.5862350973159,
+        -547.972820315098,
+        -553.8707215549077,
+        -560.2279667833407,
+        -567.0024042815933,
+        -574.1554859051457,
+        -581.6491306226733,
+        -589.444226134107,
+        -597.2734341883194,
+        -604.7131525727302,
+        -612.6691550503924,
+        -620.9582760684264,
+        -629.4605075690286,
+        -637.6629165622955,
+        -645.7497687673875,
+        -653.9246445835113,
+        -662.0733596379996,
+        -670.150135182968,
+        -678.1344964544365,
+        -686.0158351272648,
+        -693.7882116655219,
+        -701.4484138246719,
+        -708.9950175341119,
+        -716.4277953925573,
+        -723.7472904427412,
+        -730.9544989583108,
+        -738.0506372683889,
+        -745.0369757724359,
+        -751.9147263904483,
+        -758.6849717678003,
+        -765.3486263529469,
+        -771.906421092732,
+        -778.3589049538143,
+        -784.7064577833921,
+        -790.949310172405,
+        -797.0875669839264,
+        -803.1212320630536,
+        -809.0502323582991,
+        -814.8744402691865,
+        -820.593693494091,
+        -826.2078119936126,
+        -831.7166119814037,
+        -837.1199170178634,
+        -842.4175664090274,
+        -847.6094211889417,
+        -852.6953680021778,
+        -857.6753212145024,
+        -862.5492235721549,
+        -867.3170457101685,
+        -871.9787847825312,
+        -876.5344624553987,
+        -880.984122471571,
+        -885.3278279618614,
+        -889.5656586479804,
+        -893.6977080528678,
+        -897.7240808084644,
+        -901.6448901279182,
+        -905.4602554892018,
+        -909.1703005600525,
+        -912.7751513798496,
+        -916.2749348024066,
+        -919.6697771943991,
+        -922.9598033770799,
+        -926.1451357937959,
+        -929.2258938823666,
+        -932.2021936293434,
+        -935.0741472823506,
+        -937.8418631968104,
+        -940.5059124463389,
+        -943.065947907428,
+        -945.522134830236,
+        -947.8745421848307,
+        -950.1232527535474,
+        -952.2683444843211,
+        -954.3098939094248,
+        -956.2479758999904,
+        -958.0826639655636,
+        -959.8140304423634,
+        -961.4421466708411,
+        -962.9670831508035,
+        -964.3889096782947,
+        -965.7076954661995,
+        -966.9235092506788,
+        -968.0364193853225,
+        -969.0464939246954,
+        -969.9538006986761,
+        -970.7584073786918,
+        -971.4603815366213,
+        -972.0597906967364,
+        -972.556702380635,
+        -972.9511841446222,
+        -973.2433036084278,
+        -973.4331284735143,
+        -973.5207265284839,
+        -973.5061656382456,
+        -973.5937138989977,
+        -973.5791115484427,
+        -973.6666134622825,
+        -973.6519697661098,
+        -973.739425367997,
+        -973.7247404375494,
+        -973.8121497623895,
+        -973.7974237094402,
+        -973.8847867920401,
+        -973.8700197287906,
+        -973.9573366038362,
+        -973.9425286429139,
+        -974.0297993449467,
+        -974.0149505994057,
+        -974.102175162801,
+        -974.0872857461177,
+        -974.1744642050628,
+        -974.1595342311354,
+        -974.246666619606,
+        -974.2316962027537,
+        -974.3187825544919,
+        -974.3037718094529,
+        -974.3908121579437,
+        -974.3757611998749,
+        -974.462755578326,
+        -974.4476645228006,
+        -974.5346129641171,
+        -974.5194819271251,
+        -974.6063844638882,
+        -974.5912135618349,
+        -974.6780702262797,
+        -974.6628595759846,
+        -974.7496703999774,
+        -974.7344201186745,
+        -974.8211851336886
+    ]
+}
\ No newline at end of file
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorT_position.json b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorT_position.json
new file mode 100644
index 0000000000000000000000000000000000000000..21505d068ebb6e1995948f960d3a9999052e9309
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorT_position.json
@@ -0,0 +1,1928 @@
+{
+    "time": [
+        0.05,
+        0.1,
+        0.15000000000000002,
+        0.2,
+        0.25,
+        0.3,
+        0.35,
+        0.39999999999999997,
+        0.44999999999999996,
+        0.49999999999999994,
+        0.5499999999999999,
+        0.6,
+        0.65,
+        0.7000000000000001,
+        0.7500000000000001,
+        0.8000000000000002,
+        0.8500000000000002,
+        0.9000000000000002,
+        0.9500000000000003,
+        1.0000000000000002,
+        1.0500000000000003,
+        1.1000000000000003,
+        1.1500000000000004,
+        1.2000000000000004,
+        1.2500000000000004,
+        1.3000000000000005,
+        1.3500000000000005,
+        1.4000000000000006,
+        1.4500000000000006,
+        1.5000000000000007,
+        1.5500000000000007,
+        1.6000000000000008,
+        1.6500000000000008,
+        1.7000000000000008,
+        1.7500000000000009,
+        1.800000000000001,
+        1.850000000000001,
+        1.900000000000001,
+        1.950000000000001,
+        2.000000000000001,
+        2.0500000000000007,
+        2.1000000000000005,
+        2.1500000000000004,
+        2.2,
+        2.25,
+        2.3,
+        2.3499999999999996,
+        2.3999999999999995,
+        2.4499999999999993,
+        2.499999999999999,
+        2.549999999999999,
+        2.5999999999999988,
+        2.6499999999999986,
+        2.6999999999999984,
+        2.7499999999999982,
+        2.799999999999998,
+        2.849999999999998,
+        2.8999999999999977,
+        2.9499999999999975,
+        2.9999999999999973,
+        3.049999999999997,
+        3.099999999999997,
+        3.149999999999997,
+        3.1999999999999966,
+        3.2499999999999964,
+        3.2999999999999963,
+        3.349999999999996,
+        3.399999999999996,
+        3.4499999999999957,
+        3.4999999999999956,
+        3.5499999999999954,
+        3.599999999999995,
+        3.649999999999995,
+        3.699999999999995,
+        3.7499999999999947,
+        3.7999999999999945,
+        3.8499999999999943,
+        3.899999999999994,
+        3.949999999999994,
+        3.999999999999994,
+        4.049999999999994,
+        4.099999999999993,
+        4.149999999999993,
+        4.199999999999993,
+        4.249999999999993,
+        4.299999999999993,
+        4.3499999999999925,
+        4.399999999999992,
+        4.449999999999992,
+        4.499999999999992,
+        4.549999999999992,
+        4.599999999999992,
+        4.6499999999999915,
+        4.699999999999991,
+        4.749999999999991,
+        4.799999999999991,
+        4.849999999999991,
+        4.899999999999991,
+        4.94999999999999,
+        4.99999999999999,
+        5.04999999999999,
+        5.09999999999999,
+        5.14999999999999,
+        5.1999999999999895,
+        5.249999999999989,
+        5.299999999999989,
+        5.349999999999989,
+        5.399999999999989,
+        5.449999999999989,
+        5.4999999999999885,
+        5.549999999999988,
+        5.599999999999988,
+        5.649999999999988,
+        5.699999999999988,
+        5.749999999999988,
+        5.799999999999987,
+        5.849999999999987,
+        5.899999999999987,
+        5.949999999999987,
+        5.999999999999987,
+        6.0499999999999865,
+        6.099999999999986,
+        6.149999999999986,
+        6.199999999999986,
+        6.249999999999986,
+        6.299999999999986,
+        6.349999999999985,
+        6.399999999999985,
+        6.449999999999985,
+        6.499999999999985,
+        6.549999999999985,
+        6.5999999999999845,
+        6.649999999999984,
+        6.699999999999984,
+        6.749999999999984,
+        6.799999999999984,
+        6.849999999999984,
+        6.8999999999999835,
+        6.949999999999983,
+        6.999999999999983,
+        7.049999999999983,
+        7.099999999999983,
+        7.149999999999983,
+        7.199999999999982,
+        7.249999999999982,
+        7.299999999999982,
+        7.349999999999982,
+        7.399999999999982,
+        7.4499999999999815,
+        7.499999999999981,
+        7.549999999999981,
+        7.599999999999981,
+        7.649999999999981,
+        7.699999999999981,
+        7.7499999999999805,
+        7.79999999999998,
+        7.84999999999998,
+        7.89999999999998,
+        7.94999999999998,
+        7.99999999999998,
+        8.04999999999998,
+        8.09999999999998,
+        8.14999999999998,
+        8.199999999999982,
+        8.249999999999982,
+        8.299999999999983,
+        8.349999999999984,
+        8.399999999999984,
+        8.449999999999985,
+        8.499999999999986,
+        8.549999999999986,
+        8.599999999999987,
+        8.649999999999988,
+        8.699999999999989,
+        8.74999999999999,
+        8.79999999999999,
+        8.84999999999999,
+        8.899999999999991,
+        8.949999999999992,
+        8.999999999999993,
+        9.049999999999994,
+        9.099999999999994,
+        9.149999999999995,
+        9.199999999999996,
+        9.249999999999996,
+        9.299999999999997,
+        9.349999999999998,
+        9.399999999999999,
+        9.45,
+        9.5,
+        9.55,
+        9.600000000000001,
+        9.650000000000002,
+        9.700000000000003,
+        9.750000000000004,
+        9.800000000000004,
+        9.850000000000005,
+        9.900000000000006,
+        9.950000000000006,
+        10.000000000000007,
+        10.050000000000008,
+        10.100000000000009,
+        10.15000000000001,
+        10.20000000000001,
+        10.25000000000001,
+        10.300000000000011,
+        10.350000000000012,
+        10.400000000000013,
+        10.450000000000014,
+        10.500000000000014,
+        10.550000000000015,
+        10.600000000000016,
+        10.650000000000016,
+        10.700000000000017,
+        10.750000000000018,
+        10.800000000000018,
+        10.85000000000002,
+        10.90000000000002,
+        10.95000000000002,
+        11.000000000000021,
+        11.050000000000022,
+        11.100000000000023,
+        11.150000000000023,
+        11.200000000000024,
+        11.250000000000025,
+        11.300000000000026,
+        11.350000000000026,
+        11.400000000000027,
+        11.450000000000028,
+        11.500000000000028,
+        11.55000000000003,
+        11.60000000000003,
+        11.65000000000003,
+        11.700000000000031,
+        11.750000000000032,
+        11.800000000000033,
+        11.850000000000033,
+        11.900000000000034,
+        11.950000000000035,
+        12.000000000000036,
+        12.050000000000036,
+        12.100000000000037,
+        12.150000000000038,
+        12.200000000000038,
+        12.250000000000039,
+        12.30000000000004,
+        12.35000000000004,
+        12.400000000000041,
+        12.450000000000042,
+        12.500000000000043,
+        12.550000000000043,
+        12.600000000000044,
+        12.650000000000045,
+        12.700000000000045,
+        12.750000000000046,
+        12.800000000000047,
+        12.850000000000048,
+        12.900000000000048,
+        12.950000000000049,
+        13.00000000000005,
+        13.05000000000005,
+        13.100000000000051,
+        13.150000000000052,
+        13.200000000000053,
+        13.250000000000053,
+        13.300000000000054,
+        13.350000000000055,
+        13.400000000000055,
+        13.450000000000056,
+        13.500000000000057,
+        13.550000000000058,
+        13.600000000000058,
+        13.650000000000059,
+        13.70000000000006,
+        13.75000000000006,
+        13.800000000000061,
+        13.850000000000062,
+        13.900000000000063,
+        13.950000000000063,
+        14.000000000000064,
+        14.050000000000065,
+        14.100000000000065,
+        14.150000000000066,
+        14.200000000000067,
+        14.250000000000068,
+        14.300000000000068,
+        14.350000000000069,
+        14.40000000000007,
+        14.45000000000007,
+        14.500000000000071,
+        14.550000000000072,
+        14.600000000000072,
+        14.650000000000073,
+        14.700000000000074,
+        14.750000000000075,
+        14.800000000000075,
+        14.850000000000076,
+        14.900000000000077,
+        14.950000000000077,
+        15.000000000000078,
+        15.050000000000079,
+        15.10000000000008,
+        15.15000000000008,
+        15.200000000000081,
+        15.250000000000082,
+        15.300000000000082,
+        15.350000000000083,
+        15.400000000000084,
+        15.450000000000085,
+        15.500000000000085,
+        15.550000000000086,
+        15.600000000000087,
+        15.650000000000087,
+        15.700000000000088,
+        15.750000000000089,
+        15.80000000000009,
+        15.85000000000009,
+        15.900000000000091,
+        15.950000000000092,
+        16.000000000000092,
+        16.050000000000093,
+        16.100000000000094,
+        16.150000000000095,
+        16.200000000000095,
+        16.250000000000096,
+        16.300000000000097,
+        16.350000000000097,
+        16.400000000000098,
+        16.4500000000001,
+        16.5000000000001,
+        16.5500000000001,
+        16.6000000000001,
+        16.6500000000001,
+        16.700000000000102,
+        16.750000000000103,
+        16.800000000000104,
+        16.850000000000104,
+        16.900000000000105,
+        16.950000000000106,
+        17.000000000000107,
+        17.050000000000107,
+        17.100000000000108,
+        17.15000000000011,
+        17.20000000000011,
+        17.25000000000011,
+        17.30000000000011,
+        17.35000000000011,
+        17.400000000000112,
+        17.450000000000113,
+        17.500000000000114,
+        17.550000000000114,
+        17.600000000000115,
+        17.650000000000116,
+        17.700000000000117,
+        17.750000000000117,
+        17.800000000000118,
+        17.85000000000012,
+        17.90000000000012,
+        17.95000000000012,
+        18.00000000000012,
+        18.05000000000012,
+        18.100000000000122,
+        18.150000000000123,
+        18.200000000000124,
+        18.250000000000124,
+        18.300000000000125,
+        18.350000000000126,
+        18.400000000000126,
+        18.450000000000127,
+        18.500000000000128,
+        18.55000000000013,
+        18.60000000000013,
+        18.65000000000013,
+        18.70000000000013,
+        18.75000000000013,
+        18.800000000000132,
+        18.850000000000133,
+        18.900000000000134,
+        18.950000000000134,
+        19.000000000000135,
+        19.050000000000136,
+        19.100000000000136,
+        19.150000000000137,
+        19.200000000000138,
+        19.25000000000014,
+        19.30000000000014,
+        19.35000000000014,
+        19.40000000000014,
+        19.45000000000014,
+        19.500000000000142,
+        19.550000000000143,
+        19.600000000000144,
+        19.650000000000144,
+        19.700000000000145,
+        19.750000000000146,
+        19.800000000000146,
+        19.850000000000147,
+        19.900000000000148,
+        19.95000000000015,
+        20.00000000000015,
+        20.05000000000015,
+        20.10000000000015,
+        20.15000000000015,
+        20.200000000000152,
+        20.250000000000153,
+        20.300000000000153,
+        20.350000000000154,
+        20.400000000000155,
+        20.450000000000156,
+        20.500000000000156,
+        20.550000000000157,
+        20.600000000000158,
+        20.65000000000016,
+        20.70000000000016,
+        20.75000000000016,
+        20.80000000000016,
+        20.85000000000016,
+        20.900000000000162,
+        20.950000000000163,
+        21.000000000000163,
+        21.050000000000164,
+        21.100000000000165,
+        21.150000000000166,
+        21.200000000000166,
+        21.250000000000167,
+        21.300000000000168,
+        21.35000000000017,
+        21.40000000000017,
+        21.45000000000017,
+        21.50000000000017,
+        21.55000000000017,
+        21.600000000000172,
+        21.650000000000173,
+        21.700000000000173,
+        21.750000000000174,
+        21.800000000000175,
+        21.850000000000176,
+        21.900000000000176,
+        21.950000000000177,
+        22.000000000000178,
+        22.05000000000018,
+        22.10000000000018,
+        22.15000000000018,
+        22.20000000000018,
+        22.25000000000018,
+        22.300000000000182,
+        22.350000000000183,
+        22.400000000000183,
+        22.450000000000184,
+        22.500000000000185,
+        22.550000000000185,
+        22.600000000000186,
+        22.650000000000187,
+        22.700000000000188,
+        22.75000000000019,
+        22.80000000000019,
+        22.85000000000019,
+        22.90000000000019,
+        22.95000000000019,
+        23.000000000000192,
+        23.050000000000193,
+        23.100000000000193,
+        23.150000000000194,
+        23.200000000000195,
+        23.250000000000195,
+        23.300000000000196,
+        23.350000000000197,
+        23.400000000000198,
+        23.4500000000002,
+        23.5000000000002,
+        23.5500000000002,
+        23.6000000000002,
+        23.6500000000002,
+        23.700000000000202,
+        23.750000000000203,
+        23.800000000000203,
+        23.850000000000204,
+        23.900000000000205,
+        23.950000000000205,
+        24.000000000000206,
+        24.050000000000207,
+        24.100000000000207,
+        24.150000000000208,
+        24.20000000000021,
+        24.25000000000021,
+        24.30000000000021,
+        24.35000000000021,
+        24.40000000000021,
+        24.450000000000212,
+        24.500000000000213,
+        24.550000000000214,
+        24.600000000000215,
+        24.650000000000215,
+        24.700000000000216,
+        24.750000000000217,
+        24.800000000000217,
+        24.850000000000218,
+        24.90000000000022,
+        24.95000000000022,
+        25.00000000000022,
+        25.05000000000022,
+        25.10000000000022,
+        25.150000000000222,
+        25.200000000000223,
+        25.250000000000224,
+        25.300000000000225,
+        25.350000000000225,
+        25.400000000000226,
+        25.450000000000227,
+        25.500000000000227,
+        25.550000000000228,
+        25.60000000000023,
+        25.65000000000023,
+        25.70000000000023,
+        25.75000000000023,
+        25.80000000000023,
+        25.850000000000232,
+        25.900000000000233,
+        25.950000000000234,
+        26.000000000000234,
+        26.050000000000235,
+        26.100000000000236,
+        26.150000000000237,
+        26.200000000000237,
+        26.250000000000238,
+        26.30000000000024,
+        26.35000000000024,
+        26.40000000000024,
+        26.45000000000024,
+        26.50000000000024,
+        26.550000000000242,
+        26.600000000000243,
+        26.650000000000244,
+        26.700000000000244,
+        26.750000000000245,
+        26.800000000000246,
+        26.850000000000247,
+        26.900000000000247,
+        26.950000000000248,
+        27.00000000000025,
+        27.05000000000025,
+        27.10000000000025,
+        27.15000000000025,
+        27.20000000000025,
+        27.250000000000252,
+        27.300000000000253,
+        27.350000000000254,
+        27.400000000000254,
+        27.450000000000255,
+        27.500000000000256,
+        27.550000000000257,
+        27.600000000000257,
+        27.650000000000258,
+        27.70000000000026,
+        27.75000000000026,
+        27.80000000000026,
+        27.85000000000026,
+        27.90000000000026,
+        27.950000000000262,
+        28.000000000000263,
+        28.050000000000264,
+        28.100000000000264,
+        28.150000000000265,
+        28.200000000000266,
+        28.250000000000266,
+        28.300000000000267,
+        28.350000000000268,
+        28.40000000000027,
+        28.45000000000027,
+        28.50000000000027,
+        28.55000000000027,
+        28.60000000000027,
+        28.650000000000272,
+        28.700000000000273,
+        28.750000000000274,
+        28.800000000000274,
+        28.850000000000275,
+        28.900000000000276,
+        28.950000000000276,
+        29.000000000000277,
+        29.050000000000278,
+        29.10000000000028,
+        29.15000000000028,
+        29.20000000000028,
+        29.25000000000028,
+        29.30000000000028,
+        29.350000000000282,
+        29.400000000000283,
+        29.450000000000284,
+        29.500000000000284,
+        29.550000000000285,
+        29.600000000000286,
+        29.650000000000286,
+        29.700000000000287,
+        29.750000000000288,
+        29.80000000000029,
+        29.85000000000029,
+        29.90000000000029,
+        29.95000000000029,
+        30.00000000000029,
+        30.050000000000292,
+        30.100000000000293,
+        30.150000000000293,
+        30.200000000000294,
+        30.250000000000295,
+        30.300000000000296,
+        30.350000000000296,
+        30.400000000000297,
+        30.450000000000298,
+        30.5000000000003,
+        30.5500000000003,
+        30.6000000000003,
+        30.6500000000003,
+        30.7000000000003,
+        30.750000000000302,
+        30.800000000000303,
+        30.850000000000303,
+        30.900000000000304,
+        30.950000000000305,
+        31.000000000000306,
+        31.050000000000306,
+        31.100000000000307,
+        31.150000000000308,
+        31.20000000000031,
+        31.25000000000031,
+        31.30000000000031,
+        31.35000000000031,
+        31.40000000000031,
+        31.450000000000312,
+        31.500000000000313,
+        31.550000000000313,
+        31.600000000000314,
+        31.650000000000315,
+        31.700000000000315,
+        31.750000000000316,
+        31.800000000000317,
+        31.850000000000318,
+        31.90000000000032,
+        31.95000000000032,
+        32.00000000000032
+    ],
+    "x": [
+        1733.0000000000002,
+        1733.0000000000002,
+        1732.9558429012782,
+        1732.8966022401387,
+        1733.059278617829,
+        1733.2565545840534,
+        1733.5247082251744,
+        1733.8356152630295,
+        1733.9547300660352,
+        1734.0892580356044,
+        1733.9518623376175,
+        1733.9802540568307,
+        1733.7218426847699,
+        1733.7417723653234,
+        1733.8633950861383,
+        1733.5497142316974,
+        1733.8423814332566,
+        1733.890189298682,
+        1733.5719172134145,
+        1733.2220997604318,
+        1732.826894144537,
+        1733.5234699663624,
+        1732.6238030062282,
+        1733.4687394114771,
+        1732.4895756053556,
+        1733.2236249824905,
+        1733.0355565719701,
+        1731.9157582277558,
+        1732.0341039814564,
+        1732.646574623805,
+        1731.97972506884,
+        1731.6887102200535,
+        1732.2338921848836,
+        1731.5843742312572,
+        1730.844677906248,
+        1731.7479447812875,
+        1731.0227891443183,
+        1729.5245934780473,
+        1729.9952498923649,
+        1730.2855115364782,
+        1730.3230868846833,
+        1730.3994146741786,
+        1731.694523210444,
+        1732.8717305728387,
+        1732.4100442414922,
+        1732.0779868061686,
+        1732.4210617804015,
+        1732.773135717216,
+        1731.747932311952,
+        1730.1839147390674,
+        1730.2711978646398,
+        1730.3952102544413,
+        1730.9927590737677,
+        1731.6419195166109,
+        1730.7160620494055,
+        1729.376686605633,
+        1729.7239107508394,
+        1730.6905697069537,
+        1730.287304133603,
+        1729.5866783704969,
+        1729.3340952173107,
+        1729.1704472239242,
+        1730.3653416664831,
+        1732.5212934904068,
+        1732.995865943441,
+        1732.8306360506317,
+        1733.7730943788752,
+        1735.1871022418131,
+        1736.8761900513455,
+        1738.809467485658,
+        1740.266996250396,
+        1741.6124198081843,
+        1742.793225288097,
+        1743.930515894621,
+        1743.830776710713,
+        1742.5409856611782,
+        1740.4416378172334,
+        1737.7019150073415,
+        1736.3784391883669,
+        1736.2262122241955,
+        1736.1786974512986,
+        1736.186748884903,
+        1736.2577066157287,
+        1736.3856558256884,
+        1737.7953193123253,
+        1740.2837525246862,
+        1743.512232417098,
+        1747.3326601165272,
+        1751.6737735748757,
+        1756.4946027602878,
+        1761.763979075161,
+        1767.4513235613256,
+        1773.5226378302352,
+        1779.938965624079,
+        1785.6920799348732,
+        1791.2062663033307,
+        1796.5192506866615,
+        1801.7808087208375,
+        1808.1743633408441,
+        1815.179847267158,
+        1822.2729511812572,
+        1829.4631395402307,
+        1836.8896586458072,
+        1844.3861753768747,
+        1851.6166178822884,
+        1858.72645101578,
+        1865.7849355530582,
+        1872.8105579652924,
+        1879.886338522691,
+        1886.9947821497265,
+        1894.3876510180794,
+        1901.863887115937,
+        1909.2345235725506,
+        1916.3947871286487,
+        1923.2770324918931,
+        1929.8273135121158,
+        1936.614544663462,
+        1943.7215192347421,
+        1950.1499064333893,
+        1956.0213655630873,
+        1962.3692662770418,
+        1969.2012332823037,
+        1976.3827326242013,
+        1983.7131281069292,
+        1990.2604572804944,
+        1996.0803979694356,
+        2001.2412251030796,
+        2005.7904425809122,
+        2009.7352486304253,
+        2013.0662230975404,
+        2015.7660695893123,
+        2017.8147251029118,
+        2019.192837390859,
+        2019.8841477549536,
+        2021.42077017371,
+        2023.7303267895581,
+        2024.2940265758232,
+        2023.7088271277107,
+        2024.0981553869024,
+        2025.354737572965,
+        2026.866360286385,
+        2028.4924008670378,
+        2028.7287792607872,
+        2028.1491166344074,
+        2028.7668462265237,
+        2030.4753073901975,
+        2030.4478750179317,
+        2028.8869080377556,
+        2027.7250218675463,
+        2026.6557984336973,
+        2024.0796842526229,
+        2020.535759009565,
+        2016.2706440008596,
+        2011.4093513926296,
+        2007.4143822824149,
+        2003.7125875733946,
+        2000.2780775560564,
+        1996.9173209126413,
+        1992.0420391512798,
+        1986.2165545304251,
+        1979.7916210368003,
+        1972.947502679258,
+        1965.7913146805595,
+        1958.4000919343712,
+        1950.840009351757,
+        1943.1747498370592,
+        1935.7216079283153,
+        1928.2725294479321,
+        1920.7024986570727,
+        1913.246375748431,
+        1905.6936389270945,
+        1898.1759791006252,
+        1890.653268927054,
+        1883.1824622526683,
+        1875.6772820263104,
+        1868.1973420403515,
+        1860.590586732484,
+        1852.9902272617037,
+        1845.5384239862856,
+        1838.035352392947,
+        1830.7847063336174,
+        1823.8624430488885,
+        1816.6884141475393,
+        1810.0312926754414,
+        1802.987224189126,
+        1796.6325109706033,
+        1790.885230051063,
+        1785.7410037028967,
+        1780.951202331459,
+        1775.527930761008,
+        1770.2499017155556,
+        1765.515706338996,
+        1760.0446897153954,
+        1756.0057325573482,
+        1751.1416368150417,
+        1747.7156275457523,
+        1745.3210312959768,
+        1743.7954737695336,
+        1741.7419608651624,
+        1740.071023860417,
+        1737.4880992025437,
+        1734.004599443359,
+        1729.962929773862,
+        1727.6190808929518,
+        1726.8107755493288,
+        1727.1151789484097,
+        1728.2503018559205,
+        1728.2369506740565,
+        1728.628516078797,
+        1728.442485604428,
+        1727.2058061680618,
+        1724.9413157434165,
+        1721.9083954518,
+        1718.8337021121608,
+        1714.7326349962302,
+        1712.0512089622603,
+        1707.9337898042913,
+        1702.8837294477698,
+        1697.6965383953277,
+        1693.5374359098296,
+        1688.0623025228324,
+        1681.7844231804147,
+        1676.1505131928539,
+        1669.572491979919,
+        1663.7411682230377,
+        1656.9099592304028,
+        1649.5196128285756,
+        1642.4262344297817,
+        1634.8082026523043,
+        1626.9358006933649,
+        1619.1571910333653,
+        1611.2425635486975,
+        1603.5344770972397,
+        1595.7579614392448,
+        1588.0382547653162,
+        1580.2669466925306,
+        1572.509317168875,
+        1564.778887327272,
+        1556.9785892423938,
+        1549.182546993024,
+        1541.4640423894607,
+        1533.9727324221662,
+        1526.792214974851,
+        1519.4072200560843,
+        1512.511712781781,
+        1505.6396019241088,
+        1498.6423864164565,
+        1492.3832124158048,
+        1485.633429308336,
+        1479.789808166713,
+        1474.71023539398,
+        1469.0079719060764,
+        1464.3631608516212,
+        1458.9857895471214,
+        1454.633847949297,
+        1451.315296243568,
+        1447.9128996285563,
+        1445.622253786743,
+        1442.4599770125974,
+        1440.063847648351,
+        1438.095282620153,
+        1435.2290154379182,
+        1434.1088594629728,
+        1431.9709389385416,
+        1431.553232017808,
+        1432.3342927316244,
+        1432.4939278620045,
+        1431.6583521912892,
+        1432.6546155052897,
+        1434.9042041129464,
+        1436.06718461624,
+        1438.7603005562305,
+        1442.5127804293636,
+        1445.2864543720214,
+        1449.438763142814,
+        1452.7353796548246,
+        1455.1761146989838,
+        1459.277266750617,
+        1464.5735680575513,
+        1468.8962776829626,
+        1474.535569837004,
+        1479.2898736934053,
+        1485.3398242399066,
+        1492.112921001202,
+        1498.967687322187,
+        1505.47603424749,
+        1512.6492935392305,
+        1519.4836063374605,
+        1527.0647885612254,
+        1534.1581128250784,
+        1541.9219622747382,
+        1550.0014657673878,
+        1558.183490677583,
+        1566.1775514416317,
+        1574.1442269148142,
+        1582.0467245913987,
+        1589.8733641589029,
+        1597.8607099214828,
+        1605.8544332288857,
+        1613.8453674388743,
+        1621.7588207599892,
+        1629.4393806010733,
+        1636.7737188395295,
+        1644.2944574485696,
+        1651.3108852029432,
+        1658.6587185456553,
+        1665.3117733439913,
+        1671.3107894545242,
+        1676.6407002275512,
+        1682.502520652684,
+        1687.3777777263626,
+        1692.5268326090631,
+        1698.3470645738494,
+        1702.7413589210678,
+        1707.9079739951933,
+        1711.8298534402468,
+        1716.5947117407932,
+        1721.269519579648,
+        1726.8013311775271,
+        1730.8564606250225,
+        1733.6491185370257,
+        1735.3511724216899,
+        1736.1074377366833,
+        1735.9879330796796,
+        1736.823189116713,
+        1736.2885458921648,
+        1736.7053280066893,
+        1735.7955642538964,
+        1735.8376046981734,
+        1735.1977440839278,
+        1733.7310604627728,
+        1733.289901425096,
+        1733.8431412343664,
+        1735.4246194209677,
+        1738.1046783916215,
+        1741.6819157847394,
+        1746.0035364979005,
+        1750.9810572689294,
+        1756.5540866649,
+        1762.6724107011212,
+        1769.2868030746708,
+        1776.3444107946784,
+        1783.7866642997315,
+        1791.5486164499039,
+        1799.5591039490625,
+        1807.1384721470104,
+        1814.7347507184381,
+        1822.0767567629364,
+        1829.161832119015,
+        1835.886155912017,
+        1843.3279512855352,
+        1850.828844083685,
+        1858.9148602774967,
+        1867.2673642865518,
+        1875.6624069378772,
+        1883.82441092472,
+        1892.0409456201319,
+        1900.1206671268337,
+        1908.2037359302722,
+        1916.042797421796,
+        1923.9860953197367,
+        1932.1433983107233,
+        1939.8612767710842,
+        1947.3899688974502,
+        1954.7131325535483,
+        1961.4386833819403,
+        1968.4469506745002,
+        1975.207075183481,
+        1981.9095365230178,
+        1987.6951108053618,
+        1993.8472123978102,
+        1999.115224350031,
+        2004.73471033859,
+        2009.186663944953,
+        2014.0779487743962,
+        2017.715638195758,
+        2022.167334824742,
+        2025.192907810299,
+        2027.0931079879108,
+        2029.902681762681,
+        2032.5230882341036,
+        2033.639071762349,
+        2033.5855678188295,
+        2032.5260142369823,
+        2032.3966155430733,
+        2033.1521666560534,
+        2032.6399055899403,
+        2030.6448422538906,
+        2029.5915652315148,
+        2026.9364042752668,
+        2024.8850720110668,
+        2022.742163858103,
+        2019.03456655608,
+        2016.30649385612,
+        2012.008191847569,
+        2006.640824676012,
+        2002.1836251165864,
+        1997.362478480833,
+        1991.335313231294,
+        1984.5639724752268,
+        1977.6704144955575,
+        1971.1550175380034,
+        1963.7515877514966,
+        1956.8926556297104,
+        1950.5352622947862,
+        1943.1611528158353,
+        1935.132434652311,
+        1926.7572255051055,
+        1918.8053130119335,
+        1910.4555846989497,
+        1902.287689793212,
+        1894.0056646571813,
+        1885.8659820575558,
+        1877.8794466476015,
+        1869.606120944733,
+        1861.1791918650574,
+        1852.8212189226485,
+        1844.557469389947,
+        1836.5498307409719,
+        1828.916450524877,
+        1821.1304793544853,
+        1813.6835459422232,
+        1806.8255784269832,
+        1799.5993291671343,
+        1793.1879391649184,
+        1786.3003516860933,
+        1780.4116621120015,
+        1774.4919507482205,
+        1767.9648277520612,
+        1762.215942926217,
+        1757.6118657843238,
+        1752.2851256512645,
+        1748.2802587436079,
+        1745.36338166323,
+        1741.6360411613146,
+        1737.4492413973962,
+        1734.8873629298118,
+        1732.4315664448327,
+        1731.341041436508,
+        1729.403914189692,
+        1729.0183863753473,
+        1729.841590623911,
+        1731.6984236483167,
+        1732.6313494737503,
+        1732.9402479372593,
+        1732.8460912710539,
+        1731.788419776834,
+        1730.007705129617,
+        1727.104099870368,
+        1723.2064218443502,
+        1719.2526763766682,
+        1714.3407192381887,
+        1708.9769360103335,
+        1702.848204882409,
+        1696.0926951996526,
+        1690.2150215624893,
+        1685.0715922511977,
+        1679.6848006940336,
+        1673.6108812988646,
+        1666.4862582031,
+        1658.6943852013603,
+        1651.533650076308,
+        1643.5963713238548,
+        1635.6230928482971,
+        1628.0738824076639,
+        1619.8463630045362,
+        1611.2813744259415,
+        1602.6074033023413,
+        1594.1703483996162,
+        1585.8397833738582,
+        1577.330480231226,
+        1568.859169893612,
+        1560.5357599308488,
+        1552.1531801775395,
+        1543.6842351078435,
+        1535.296994124733,
+        1527.261633525915,
+        1519.0547292295605,
+        1511.3443045469878,
+        1504.179829482402,
+        1497.633871440666,
+        1490.6913949011564,
+        1484.5954134523236,
+        1479.3364226392669,
+        1473.525879572357,
+        1467.8650483686702,
+        1463.4069859309536,
+        1458.260410387584,
+        1454.4837640655787,
+        1449.9339149338193,
+        1446.8709124992474,
+        1444.9628505135552,
+        1442.2193686350079,
+        1438.633785253311,
+        1434.171640778486,
+        1431.4064708307874,
+        1427.7117626977679,
+        1425.6178177266465,
+        1424.987328678465,
+        1425.5368972879119,
+        1427.1203280625632,
+        1429.6502686586223,
+        1431.7221359062992,
+        1435.027466759896,
+        1439.3386000013097,
+        1444.5109351389692,
+        1450.438094412823,
+        1456.8781957566634,
+        1462.6990337380535,
+        1467.990722317535,
+        1472.7399472101054,
+        1477.3911708127941,
+        1481.7506110531435,
+        1486.1903281757986,
+        1491.9602876844503,
+        1498.724711869675,
+        1506.3158912684303,
+        1514.4522768698853,
+        1522.9486488694295,
+        1531.5505112951832,
+        1539.7290162978074,
+        1547.5995806371402,
+        1556.0367621414716,
+        1564.7565828960387,
+        1573.3237131690748,
+        1581.7592087401051,
+        1590.4052239003186,
+        1599.053946844786,
+        1607.5174287448904,
+        1615.9911305904393,
+        1624.2586573584795,
+        1632.3142701551042,
+        1640.5965025191672,
+        1648.352298187665,
+        1656.438131770891,
+        1664.0139699876572,
+        1670.8740501869684,
+        1678.174442537244,
+        1684.9703469092951,
+        1690.8488655488984,
+        1695.8405704978259,
+        1700.0440172792514,
+        1704.8298886623422,
+        1710.2865336243199,
+        1716.4763757353485,
+        1721.1600825530875,
+        1726.6716449452715,
+        1730.7233181386798,
+        1733.467050282645,
+        1736.2163479950887,
+        1739.1928952102726,
+        1741.5901833070757,
+        1742.5238300809597,
+        1742.6164893884484,
+        1743.2179337805555,
+        1742.8374542505278,
+        1743.4441502488053,
+        1742.3584965781547,
+        1740.4325270133754,
+        1739.5777401910968,
+        1738.75320463456,
+        1736.3004629886168,
+        1734.9564849902367,
+        1734.5993857089793,
+        1732.461711446671,
+        1731.509418298029,
+        1729.479408408351,
+        1728.663719127689,
+        1728.0978462786902,
+        1726.6378245023216,
+        1726.5007258650662,
+        1725.4052841095026,
+        1723.8359612076456,
+        1723.7153300189862,
+        1722.0087340187915,
+        1721.4885892235561,
+        1721.7823815574302,
+        1721.1933946388876,
+        1722.0674555229064,
+        1721.352069525489,
+        1721.7529249570414,
+        1722.1880083502829,
+        1721.6501133141792,
+        1722.6266116502106,
+        1722.470414956354,
+        1721.7526815142278,
+        1722.8101646649109,
+        1722.1760963859688,
+        1723.3334352478223,
+        1723.262229445752,
+        1722.392603067037,
+        1723.3852697897955,
+        1722.5746299359728,
+        1723.5869535977338,
+        1724.3750411109463,
+        1724.2218818131246,
+        1725.1787517729126,
+        1724.9069963134925,
+        1725.2449149406252,
+        1724.8438256841482,
+        1725.899837907078,
+        1727.0816018041571,
+        1726.4417198264678,
+        1726.7384623650355,
+        1728.070868964854,
+        1728.3079556323391,
+        1728.3389625943764,
+        1728.9595903151153,
+        1728.950202317065,
+        1729.1708873553246,
+        1728.628176066682,
+        1729.4674137290365,
+        1729.6758354629083,
+        1729.2176248265523,
+        1729.7470948041187,
+        1729.922142813871,
+        1729.6471965275955,
+        1729.4743471205518,
+        1729.5625722877476,
+        1729.436773323511,
+        1729.5629541957974,
+        1729.5908382516443,
+        1729.2614616638862,
+        1729.3580938103569,
+        1729.2140423867986,
+        1729.1488458965578,
+        1728.9252626242776,
+        1728.8033263504876,
+        1728.6598770195474,
+        1728.5025169301152,
+        1728.31009430037,
+        1728.1176306021187,
+        1727.9251337531518,
+        1727.7334845393682,
+        1727.541154370946,
+        1727.3223723258275,
+        1727.1300235547694,
+        1726.9704397504347,
+        1726.7794985489254,
+        1726.6207958831096
+    ],
+    "y": [
+        -406.0866103896103,
+        -406.25978048702905,
+        -406.51943468689143,
+        -406.8654614633065,
+        -407.2980861447471,
+        -407.8161955306076,
+        -408.4187995319817,
+        -409.1050979728717,
+        -409.88030015906105,
+        -410.7410084188968,
+        -411.6944149501243,
+        -412.7298999629149,
+        -413.85671244273647,
+        -415.06428368639865,
+        -416.35605202881015,
+        -417.73974790814844,
+        -419.2012608155624,
+        -420.7514719575184,
+        -422.39193535046354,
+        -424.1151248307994,
+        -425.9202452947828,
+        -427.8143631147442,
+        -429.7886076613379,
+        -431.8561137812875,
+        -433.99870205927806,
+        -436.2392330538355,
+        -438.55803249539673,
+        -440.942336912718,
+        -443.4360090312368,
+        -446.0216179874061,
+        -448.66901982916943,
+        -451.4055330014451,
+        -454.2474032243168,
+        -457.1444903442604,
+        -460.10962067077537,
+        -463.2333540810228,
+        -466.3734558908838,
+        -469.52216390002377,
+        -472.9084286422148,
+        -476.3553655325819,
+        -479.866617455595,
+        -483.4617668847049,
+        -487.1538348030752,
+        -490.87420841573817,
+        -494.73834451717886,
+        -498.68107378665024,
+        -502.6914054672616,
+        -506.79123194374216,
+        -511.0274681477953,
+        -515.3038263748156,
+        -519.7077026796292,
+        -524.2119363856045,
+        -528.8238667354053,
+        -533.5256177079425,
+        -538.3316199763979,
+        -543.2007971143735,
+        -548.2508813700448,
+        -553.4133996312373,
+        -558.6650850248573,
+        -564.0217833947428,
+        -569.5099435146176,
+        -575.1239554902245,
+        -580.8814877507162,
+        -586.6592185286595,
+        -592.6301057644255,
+        -598.774874877989,
+        -604.9669553070996,
+        -611.2296170311611,
+        -617.5637288480818,
+        -623.9634218969735,
+        -630.5780532306048,
+        -637.3542294827155,
+        -644.3061398899098,
+        -651.4075881479237,
+        -658.7322967727025,
+        -666.1309187081064,
+        -673.4110049011452,
+        -680.4735249364003,
+        -687.5692625243103,
+        -694.8083269734709,
+        -702.057438372294,
+        -709.307438823073,
+        -716.5572729438056,
+        -723.8054840463133,
+        -731.0753818572985,
+        -738.2123320504702,
+        -745.0968307873034,
+        -751.6621328178708,
+        -757.8621271527502,
+        -763.6564780185391,
+        -769.0056136108165,
+        -773.8699154502578,
+        -778.2104154964194,
+        -781.98989392896,
+        -786.4036800589414,
+        -791.1236374759594,
+        -796.1299162727537,
+        -801.2181401329847,
+        -804.7896894030266,
+        -807.3101256013886,
+        -809.457681194046,
+        -811.1820087670557,
+        -811.9742292499993,
+        -811.9802202135227,
+        -812.9546386121707,
+        -814.7289773703593,
+        -816.8726837075446,
+        -819.1730063765754,
+        -821.1696434737034,
+        -823.002797944644,
+        -823.2196645320097,
+        -822.1712434783483,
+        -820.2413303618575,
+        -817.5994204593867,
+        -814.3279187053876,
+        -810.4734005232117,
+        -807.6493923609919,
+        -805.6839853107717,
+        -801.9984586521041,
+        -797.3054532872371,
+        -793.5845207572696,
+        -790.6836861108657,
+        -788.4358595583346,
+        -786.5841460661252,
+        -783.1631432253714,
+        -778.3978594513281,
+        -772.748610616025,
+        -766.5384428847067,
+        -759.9266694173343,
+        -753.0045737275715,
+        -745.8366898033652,
+        -738.4788817076452,
+        -730.9860588172751,
+        -723.4151443958053,
+        -716.1712355838189,
+        -709.1025941796617,
+        -701.667829415244,
+        -694.142076087672,
+        -686.7323644269869,
+        -679.3502718505054,
+        -671.9792850908764,
+        -664.6258696536515,
+        -657.1765700004987,
+        -649.70669584809,
+        -642.2532472562257,
+        -634.8376055625624,
+        -627.3638363279,
+        -619.9072816408896,
+        -612.4872147782764,
+        -605.0750326202418,
+        -597.8838923651416,
+        -591.0063001662094,
+        -584.5129377867418,
+        -578.4558803795112,
+        -572.0925930911997,
+        -565.5800435394106,
+        -558.9027198116239,
+        -552.1712111419283,
+        -546.3759970511798,
+        -541.3431120674505,
+        -536.9945751237991,
+        -533.3106416009124,
+        -530.2942244029515,
+        -527.9581451377201,
+        -526.3184958045572,
+        -525.3905115733254,
+        -524.1382961027975,
+        -523.0055745364245,
+        -522.743822319023,
+        -521.6283713606713,
+        -521.6205061900781,
+        -520.7191439094122,
+        -519.6204251208034,
+        -517.6326077057759,
+        -516.4341801164283,
+        -514.9476257331835,
+        -515.1339726344066,
+        -516.4360494579848,
+        -518.8319739617752,
+        -519.9908814904211,
+        -522.6516923906959,
+        -526.2700035263708,
+        -528.7739552193127,
+        -532.6772531961101,
+        -535.5302625326422,
+        -539.8756000928742,
+        -545.145652199707,
+        -551.062735209805,
+        -557.1838775063093,
+        -562.5232448448106,
+        -568.0130243554039,
+        -574.0050491882114,
+        -579.3560227087312,
+        -585.897125583276,
+        -591.7928897227093,
+        -598.7088198662132,
+        -606.1594461152401,
+        -613.8863236138629,
+        -621.2877324325292,
+        -628.7854427138144,
+        -636.0047637915959,
+        -642.9582872178788,
+        -649.6910936308525,
+        -657.0001921687725,
+        -664.7639502655862,
+        -672.6811811608015,
+        -680.5561164234648,
+        -688.2515510411715,
+        -695.9465097078048,
+        -703.6379931811747,
+        -711.3314667562496,
+        -718.9449093773669,
+        -726.375846473818,
+        -733.6732946860099,
+        -740.6017813751457,
+        -747.8533406499407,
+        -754.5793067390582,
+        -760.776451924315,
+        -766.7371903536595,
+        -773.2493594848563,
+        -778.8685397592237,
+        -783.7372426834423,
+        -789.0643127470914,
+        -793.3878496565926,
+        -798.475365798306,
+        -802.3202036455489,
+        -805.2036531022177,
+        -808.4084705251054,
+        -810.459818534938,
+        -811.5642947015235,
+        -812.5664911384065,
+        -812.5220245280601,
+        -813.3933475914314,
+        -813.5396678267853,
+        -814.5793201256902,
+        -814.7410413945781,
+        -815.8473890714317,
+        -817.5014853137886,
+        -817.3326485458795,
+        -817.1082266953736,
+        -815.295274456352,
+        -812.4009725000167,
+        -808.7595866654633,
+        -806.2131707731401,
+        -802.3132105635016,
+        -798.5295635883688,
+        -795.0547043567608,
+        -790.2130329216602,
+        -786.2638682132081,
+        -780.9323930916389,
+        -774.7409452849504,
+        -769.3728765206749,
+        -762.9379952064033,
+        -757.2394414221658,
+        -750.6582178278838,
+        -743.3827978657561,
+        -736.2629625281147,
+        -728.6067639651735,
+        -721.4236801505608,
+        -713.9235918451661,
+        -706.2930027123723,
+        -698.9535636712,
+        -691.1062129836896,
+        -683.5249650135968,
+        -675.5870081174302,
+        -667.5693270720044,
+        -659.671947410664,
+        -651.8105687604902,
+        -643.9281949502347,
+        -636.1889089932981,
+        -628.3821356575238,
+        -620.8531039460884,
+        -613.6903013244524,
+        -606.2889377043298,
+        -599.4422261630873,
+        -592.2557190060104,
+        -584.663566686919,
+        -577.8576317448244,
+        -571.7671043837954,
+        -565.1272601586395,
+        -559.4152487982832,
+        -553.0683570201944,
+        -547.8034832122393,
+        -543.3499095139173,
+        -539.14994825748,
+        -534.5905600557351,
+        -531.0107754695362,
+        -526.9564219317997,
+        -524.2594842330816,
+        -520.6638797081139,
+        -518.5814449435907,
+        -517.630730709791,
+        -517.6406687490141,
+        -517.2347875051679,
+        -516.8623992178516,
+        -515.6965310462646,
+        -513.6141155720748,
+        -513.3899272254557,
+        -513.4388877773855,
+        -513.7106146121737,
+        -515.5221047316857,
+        -518.4297561868616,
+        -522.2107051980187,
+        -524.9577371707102,
+        -529.0263418035988,
+        -532.1899326627415,
+        -536.7899779017686,
+        -542.348655710528,
+        -548.6088457612765,
+        -554.0754538976919,
+        -560.5536494718281,
+        -566.7045592684995,
+        -572.2694118508189,
+        -579.0358406165553,
+        -585.1955530737303,
+        -592.2529415820865,
+        -598.7409063502071,
+        -605.2989778507223,
+        -611.298416758522,
+        -618.2662173631117,
+        -625.9525607173719,
+        -634.0624755683638,
+        -642.3615461711088,
+        -650.7023908151731,
+        -658.7386060264647,
+        -666.9049540779572,
+        -674.9582933241836,
+        -683.0319035544844,
+        -691.1091332301864,
+        -699.1627730636537,
+        -707.1367217072279,
+        -715.2283966183038,
+        -723.4281953141351,
+        -731.643633329729,
+        -739.7268640755904,
+        -747.5225428286453,
+        -754.9274313898322,
+        -761.8692607702518,
+        -768.288890784223,
+        -774.1323181768066,
+        -779.3480650082981,
+        -783.8871034535584,
+        -787.7038195889465,
+        -790.7572958732325,
+        -793.012589141859,
+        -795.919473307398,
+        -798.7627556591484,
+        -802.3299241660636,
+        -806.6010337684075,
+        -811.6443003379643,
+        -814.9573167631872,
+        -818.1438253493039,
+        -819.7424367113962,
+        -820.1206630839022,
+        -819.4862464077714,
+        -819.8747551791621,
+        -818.8199763417692,
+        -816.6621067548997,
+        -815.5066684191894,
+        -812.8906395506486,
+        -810.994077235323,
+        -809.9941494403505,
+        -807.1961986798203,
+        -803.8919474964996,
+        -800.1422017017591,
+        -795.2145062006232,
+        -790.9683972099106,
+        -786.3207110329776,
+        -781.6031527228893,
+        -775.6494363265426,
+        -770.2249391691566,
+        -763.8396340459346,
+        -757.8593382548968,
+        -750.8427005279273,
+        -744.2435309502089,
+        -736.7603668864695,
+        -729.8557539334122,
+        -722.1193641996297,
+        -713.9319246606651,
+        -706.2019076733104,
+        -698.4038337403149,
+        -690.154241469656,
+        -681.7403273491075,
+        -673.3502350821923,
+        -665.110522628826,
+        -656.8831018560597,
+        -648.6516886861363,
+        -640.5458167320843,
+        -632.3671622830685,
+        -624.4697943211079,
+        -616.4742616322603,
+        -608.4998012025782,
+        -601.0185815728497,
+        -593.2173679802033,
+        -586.06327985133,
+        -579.5404631847696,
+        -572.57165065901,
+        -565.8402595938288,
+        -560.0127630225509,
+        -554.9561744952604,
+        -550.1917720996861,
+        -545.0732309586579,
+        -541.1467946745287,
+        -536.4975058094169,
+        -531.07538940619,
+        -527.2211693012922,
+        -524.6378326323887,
+        -523.124714603832,
+        -520.71790741883,
+        -519.7410874039399,
+        -518.2076167467892,
+        -517.3323124514731,
+        -515.5403872674162,
+        -512.7939824665416,
+        -511.81791093041807,
+        -512.4264564518566,
+        -513.076153951027,
+        -515.0647447840622,
+        -518.1089282274813,
+        -522.0500314240674,
+        -525.0648264009501,
+        -528.924787464599,
+        -533.9108773218193,
+        -538.0710156442984,
+        -543.5326863089388,
+        -548.2435812603611,
+        -554.2559544610214,
+        -560.1656554376723,
+        -565.4191872903685,
+        -571.4965075361661,
+        -578.6038876526923,
+        -585.05510951786,
+        -592.4999235433016,
+        -600.537056631272,
+        -608.0381538981135,
+        -615.3068885816049,
+        -623.3501386775274,
+        -631.3916777739462,
+        -639.8405559217586,
+        -648.0030476416422,
+        -656.4818428104847,
+        -665.0202460275543,
+        -673.4400604566172,
+        -681.7914787540942,
+        -690.1927637908578,
+        -698.6411095194798,
+        -707.1491324918595,
+        -715.6165941752552,
+        -723.9262946781821,
+        -731.9149174147552,
+        -739.6744801988172,
+        -746.959909508703,
+        -753.8379384414488,
+        -760.0880163237168,
+        -765.6515158628649,
+        -771.7314768751362,
+        -778.4305954610868,
+        -784.9302207652146,
+        -790.8020722055996,
+        -795.5461537801308,
+        -799.2998728725221,
+        -803.791297861137,
+        -806.9861084521904,
+        -809.94941667752,
+        -813.7571087772072,
+        -815.9717561413684,
+        -816.9413388698667,
+        -816.8296577648949,
+        -817.5719924798454,
+        -819.1863358320974,
+        -818.9634005258974,
+        -817.394309197206,
+        -815.2795413535769,
+        -814.0552983272612,
+        -813.3484948052038,
+        -812.0741211130705,
+        -809.1161729950468,
+        -806.949961650851,
+        -803.1850299049561,
+        -798.2818808553412,
+        -792.5007000443042,
+        -787.5873545018769,
+        -781.5224500310642,
+        -774.6251296425216,
+        -768.4212279377412,
+        -762.080181111487,
+        -754.743845968119,
+        -747.9716381995956,
+        -740.2701971871827,
+        -733.0737841962085,
+        -725.0585543320522,
+        -716.604971143026,
+        -708.5394339645393,
+        -700.7602847004127,
+        -693.3078582839426,
+        -685.2315631731979,
+        -677.4825297901498,
+        -669.1739696720274,
+        -660.4957416996842,
+        -651.7196312416443,
+        -643.031123608065,
+        -634.5643069209834,
+        -626.2069487158062,
+        -618.1608836469852,
+        -610.5497202707294,
+        -603.4730805963759,
+        -597.0145625216454,
+        -591.1298094647764,
+        -584.8680248722509,
+        -578.1253000682294,
+        -570.8684735120519,
+        -563.5366496054361,
+        -555.9870947006557,
+        -548.5415738378244,
+        -542.1728261410374,
+        -536.7232225716517,
+        -532.2694714406351,
+        -528.7637948317204,
+        -526.1946024112422,
+        -524.2884588071433,
+        -521.6291896088107,
+        -518.134739159968,
+        -516.3153439524691,
+        -515.8492523074601,
+        -514.9558796513363,
+        -513.1767500367268,
+        -513.1310774348415,
+        -514.4756631420568,
+        -516.9578791840686,
+        -518.5226998904968,
+        -521.1018352502883,
+        -524.3060365162683,
+        -526.6868335527979,
+        -530.5624381962257,
+        -533.5701446333023,
+        -537.7386910790381,
+        -543.1711228583824,
+        -547.7705969236266,
+        -553.1245767833223,
+        -559.6105054996217,
+        -566.8907208112098,
+        -574.6620316248508,
+        -581.8622421332518,
+        -588.588960420791,
+        -594.7984012398117,
+        -602.0786349868762,
+        -608.8027243304718,
+        -616.490272947887,
+        -624.864752618798,
+        -633.0161683940748,
+        -640.9185082591889,
+        -648.9134620222883,
+        -657.215853257615,
+        -665.4882596000184,
+        -673.4848924705072,
+        -681.4389143125225,
+        -689.1969559315896,
+        -696.8735060549623,
+        -704.3224997946832,
+        -711.7243952734789,
+        -719.0248626564061,
+        -725.9315618258158,
+        -732.9356246141339,
+        -740.0445122388967,
+        -746.6503210274939,
+        -753.4258594886469,
+        -759.8254591661,
+        -766.4241578994732,
+        -772.954915359524,
+        -779.1675468981714,
+        -785.5481432695776,
+        -791.6175993935678,
+        -797.4832053854775,
+        -803.517665566533,
+        -809.1454086117458,
+        -814.8852654876757,
+        -820.6276979204439,
+        -826.1220712636223,
+        -831.6491558428131,
+        -836.9205978450508,
+        -842.1580008103203,
+        -847.2710412980967,
+        -852.2516248192685,
+        -857.139320106608,
+        -861.9212504321002,
+        -866.5981995620264,
+        -871.1506956014546,
+        -875.6272552538339,
+        -879.9489001548698,
+        -884.2079003959338,
+        -888.3793213636795,
+        -892.3931909226552,
+        -896.3508060966606,
+        -900.1537360909167,
+        -903.8416108187411,
+        -907.4772667067944,
+        -910.9339476154421,
+        -914.374200333694,
+        -917.6644680272568,
+        -920.8973268272014,
+        -923.9289597246515,
+        -926.8181482836577,
+        -929.7850608816696,
+        -932.5533910682299,
+        -935.1026138428088,
+        -937.6681466965381,
+        -940.1551170397337,
+        -942.4603225289381,
+        -944.7462635807219,
+        -946.8956294091571,
+        -949.0405433851901,
+        -950.8974168503736,
+        -952.7350308726386,
+        -954.5620315327199,
+        -956.1450852014364,
+        -957.6742421618044,
+        -959.1653863882887,
+        -960.5349911108975,
+        -961.7633805808894,
+        -962.9179912011758,
+        -963.9329886692539,
+        -964.858412734013,
+        -965.7311283050739,
+        -966.4387027744139,
+        -967.077419038514,
+        -967.6010098605539,
+        -968.0438261269127,
+        -968.368206351706,
+        -968.5922793105415,
+        -968.7149958946962,
+        -968.7394460999615,
+        -968.8672087423847,
+        -968.8915332227491,
+        -969.0190363432747,
+        -969.0432027195167,
+        -969.1744000816,
+        -969.1982996980189,
+        -969.320856945621,
+        -969.3445793947377,
+        -969.4670313558031
+    ]
+}
\ No newline at end of file
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorT_position_old.json b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorT_position_old.json
new file mode 100644
index 0000000000000000000000000000000000000000..7e152b108cf6425d0be161464e9aad8aa5e8ddcb
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/errorT_position_old.json
@@ -0,0 +1,2072 @@
+{
+    "time": [
+        0.05,
+        0.1,
+        0.15000000000000002,
+        0.2,
+        0.25,
+        0.3,
+        0.35,
+        0.39999999999999997,
+        0.44999999999999996,
+        0.49999999999999994,
+        0.5499999999999999,
+        0.6,
+        0.65,
+        0.7000000000000001,
+        0.7500000000000001,
+        0.8000000000000002,
+        0.8500000000000002,
+        0.9000000000000002,
+        0.9500000000000003,
+        1.0000000000000002,
+        1.0500000000000003,
+        1.1000000000000003,
+        1.1500000000000004,
+        1.2000000000000004,
+        1.2500000000000004,
+        1.3000000000000005,
+        1.3500000000000005,
+        1.4000000000000006,
+        1.4500000000000006,
+        1.5000000000000007,
+        1.5500000000000007,
+        1.6000000000000008,
+        1.6500000000000008,
+        1.7000000000000008,
+        1.7500000000000009,
+        1.800000000000001,
+        1.850000000000001,
+        1.900000000000001,
+        1.950000000000001,
+        2.000000000000001,
+        2.0500000000000007,
+        2.1000000000000005,
+        2.1500000000000004,
+        2.2,
+        2.25,
+        2.3,
+        2.3499999999999996,
+        2.3999999999999995,
+        2.4499999999999993,
+        2.499999999999999,
+        2.549999999999999,
+        2.5999999999999988,
+        2.6499999999999986,
+        2.6999999999999984,
+        2.7499999999999982,
+        2.799999999999998,
+        2.849999999999998,
+        2.8999999999999977,
+        2.9499999999999975,
+        2.9999999999999973,
+        3.049999999999997,
+        3.099999999999997,
+        3.149999999999997,
+        3.1999999999999966,
+        3.2499999999999964,
+        3.2999999999999963,
+        3.349999999999996,
+        3.399999999999996,
+        3.4499999999999957,
+        3.4999999999999956,
+        3.5499999999999954,
+        3.599999999999995,
+        3.649999999999995,
+        3.699999999999995,
+        3.7499999999999947,
+        3.7999999999999945,
+        3.8499999999999943,
+        3.899999999999994,
+        3.949999999999994,
+        3.999999999999994,
+        4.049999999999994,
+        4.099999999999993,
+        4.149999999999993,
+        4.199999999999993,
+        4.249999999999993,
+        4.299999999999993,
+        4.3499999999999925,
+        4.399999999999992,
+        4.449999999999992,
+        4.499999999999992,
+        4.549999999999992,
+        4.599999999999992,
+        4.6499999999999915,
+        4.699999999999991,
+        4.749999999999991,
+        4.799999999999991,
+        4.849999999999991,
+        4.899999999999991,
+        4.94999999999999,
+        4.99999999999999,
+        5.04999999999999,
+        5.09999999999999,
+        5.14999999999999,
+        5.1999999999999895,
+        5.249999999999989,
+        5.299999999999989,
+        5.349999999999989,
+        5.399999999999989,
+        5.449999999999989,
+        5.4999999999999885,
+        5.549999999999988,
+        5.599999999999988,
+        5.649999999999988,
+        5.699999999999988,
+        5.749999999999988,
+        5.799999999999987,
+        5.849999999999987,
+        5.899999999999987,
+        5.949999999999987,
+        5.999999999999987,
+        6.0499999999999865,
+        6.099999999999986,
+        6.149999999999986,
+        6.199999999999986,
+        6.249999999999986,
+        6.299999999999986,
+        6.349999999999985,
+        6.399999999999985,
+        6.449999999999985,
+        6.499999999999985,
+        6.549999999999985,
+        6.5999999999999845,
+        6.649999999999984,
+        6.699999999999984,
+        6.749999999999984,
+        6.799999999999984,
+        6.849999999999984,
+        6.8999999999999835,
+        6.949999999999983,
+        6.999999999999983,
+        7.049999999999983,
+        7.099999999999983,
+        7.149999999999983,
+        7.199999999999982,
+        7.249999999999982,
+        7.299999999999982,
+        7.349999999999982,
+        7.399999999999982,
+        7.4499999999999815,
+        7.499999999999981,
+        7.549999999999981,
+        7.599999999999981,
+        7.649999999999981,
+        7.699999999999981,
+        7.7499999999999805,
+        7.79999999999998,
+        7.84999999999998,
+        7.89999999999998,
+        7.94999999999998,
+        7.99999999999998,
+        8.04999999999998,
+        8.09999999999998,
+        8.14999999999998,
+        8.199999999999982,
+        8.249999999999982,
+        8.299999999999983,
+        8.349999999999984,
+        8.399999999999984,
+        8.449999999999985,
+        8.499999999999986,
+        8.549999999999986,
+        8.599999999999987,
+        8.649999999999988,
+        8.699999999999989,
+        8.74999999999999,
+        8.79999999999999,
+        8.84999999999999,
+        8.899999999999991,
+        8.949999999999992,
+        8.999999999999993,
+        9.049999999999994,
+        9.099999999999994,
+        9.149999999999995,
+        9.199999999999996,
+        9.249999999999996,
+        9.299999999999997,
+        9.349999999999998,
+        9.399999999999999,
+        9.45,
+        9.5,
+        9.55,
+        9.600000000000001,
+        9.650000000000002,
+        9.700000000000003,
+        9.750000000000004,
+        9.800000000000004,
+        9.850000000000005,
+        9.900000000000006,
+        9.950000000000006,
+        10.000000000000007,
+        10.050000000000008,
+        10.100000000000009,
+        10.15000000000001,
+        10.20000000000001,
+        10.25000000000001,
+        10.300000000000011,
+        10.350000000000012,
+        10.400000000000013,
+        10.450000000000014,
+        10.500000000000014,
+        10.550000000000015,
+        10.600000000000016,
+        10.650000000000016,
+        10.700000000000017,
+        10.750000000000018,
+        10.800000000000018,
+        10.85000000000002,
+        10.90000000000002,
+        10.95000000000002,
+        11.000000000000021,
+        11.050000000000022,
+        11.100000000000023,
+        11.150000000000023,
+        11.200000000000024,
+        11.250000000000025,
+        11.300000000000026,
+        11.350000000000026,
+        11.400000000000027,
+        11.450000000000028,
+        11.500000000000028,
+        11.55000000000003,
+        11.60000000000003,
+        11.65000000000003,
+        11.700000000000031,
+        11.750000000000032,
+        11.800000000000033,
+        11.850000000000033,
+        11.900000000000034,
+        11.950000000000035,
+        12.000000000000036,
+        12.050000000000036,
+        12.100000000000037,
+        12.150000000000038,
+        12.200000000000038,
+        12.250000000000039,
+        12.30000000000004,
+        12.35000000000004,
+        12.400000000000041,
+        12.450000000000042,
+        12.500000000000043,
+        12.550000000000043,
+        12.600000000000044,
+        12.650000000000045,
+        12.700000000000045,
+        12.750000000000046,
+        12.800000000000047,
+        12.850000000000048,
+        12.900000000000048,
+        12.950000000000049,
+        13.00000000000005,
+        13.05000000000005,
+        13.100000000000051,
+        13.150000000000052,
+        13.200000000000053,
+        13.250000000000053,
+        13.300000000000054,
+        13.350000000000055,
+        13.400000000000055,
+        13.450000000000056,
+        13.500000000000057,
+        13.550000000000058,
+        13.600000000000058,
+        13.650000000000059,
+        13.70000000000006,
+        13.75000000000006,
+        13.800000000000061,
+        13.850000000000062,
+        13.900000000000063,
+        13.950000000000063,
+        14.000000000000064,
+        14.050000000000065,
+        14.100000000000065,
+        14.150000000000066,
+        14.200000000000067,
+        14.250000000000068,
+        14.300000000000068,
+        14.350000000000069,
+        14.40000000000007,
+        14.45000000000007,
+        14.500000000000071,
+        14.550000000000072,
+        14.600000000000072,
+        14.650000000000073,
+        14.700000000000074,
+        14.750000000000075,
+        14.800000000000075,
+        14.850000000000076,
+        14.900000000000077,
+        14.950000000000077,
+        15.000000000000078,
+        15.050000000000079,
+        15.10000000000008,
+        15.15000000000008,
+        15.200000000000081,
+        15.250000000000082,
+        15.300000000000082,
+        15.350000000000083,
+        15.400000000000084,
+        15.450000000000085,
+        15.500000000000085,
+        15.550000000000086,
+        15.600000000000087,
+        15.650000000000087,
+        15.700000000000088,
+        15.750000000000089,
+        15.80000000000009,
+        15.85000000000009,
+        15.900000000000091,
+        15.950000000000092,
+        16.000000000000092,
+        16.050000000000093,
+        16.100000000000094,
+        16.150000000000095,
+        16.200000000000095,
+        16.250000000000096,
+        16.300000000000097,
+        16.350000000000097,
+        16.400000000000098,
+        16.4500000000001,
+        16.5000000000001,
+        16.5500000000001,
+        16.6000000000001,
+        16.6500000000001,
+        16.700000000000102,
+        16.750000000000103,
+        16.800000000000104,
+        16.850000000000104,
+        16.900000000000105,
+        16.950000000000106,
+        17.000000000000107,
+        17.050000000000107,
+        17.100000000000108,
+        17.15000000000011,
+        17.20000000000011,
+        17.25000000000011,
+        17.30000000000011,
+        17.35000000000011,
+        17.400000000000112,
+        17.450000000000113,
+        17.500000000000114,
+        17.550000000000114,
+        17.600000000000115,
+        17.650000000000116,
+        17.700000000000117,
+        17.750000000000117,
+        17.800000000000118,
+        17.85000000000012,
+        17.90000000000012,
+        17.95000000000012,
+        18.00000000000012,
+        18.05000000000012,
+        18.100000000000122,
+        18.150000000000123,
+        18.200000000000124,
+        18.250000000000124,
+        18.300000000000125,
+        18.350000000000126,
+        18.400000000000126,
+        18.450000000000127,
+        18.500000000000128,
+        18.55000000000013,
+        18.60000000000013,
+        18.65000000000013,
+        18.70000000000013,
+        18.75000000000013,
+        18.800000000000132,
+        18.850000000000133,
+        18.900000000000134,
+        18.950000000000134,
+        19.000000000000135,
+        19.050000000000136,
+        19.100000000000136,
+        19.150000000000137,
+        19.200000000000138,
+        19.25000000000014,
+        19.30000000000014,
+        19.35000000000014,
+        19.40000000000014,
+        19.45000000000014,
+        19.500000000000142,
+        19.550000000000143,
+        19.600000000000144,
+        19.650000000000144,
+        19.700000000000145,
+        19.750000000000146,
+        19.800000000000146,
+        19.850000000000147,
+        19.900000000000148,
+        19.95000000000015,
+        20.00000000000015,
+        20.05000000000015,
+        20.10000000000015,
+        20.15000000000015,
+        20.200000000000152,
+        20.250000000000153,
+        20.300000000000153,
+        20.350000000000154,
+        20.400000000000155,
+        20.450000000000156,
+        20.500000000000156,
+        20.550000000000157,
+        20.600000000000158,
+        20.65000000000016,
+        20.70000000000016,
+        20.75000000000016,
+        20.80000000000016,
+        20.85000000000016,
+        20.900000000000162,
+        20.950000000000163,
+        21.000000000000163,
+        21.050000000000164,
+        21.100000000000165,
+        21.150000000000166,
+        21.200000000000166,
+        21.250000000000167,
+        21.300000000000168,
+        21.35000000000017,
+        21.40000000000017,
+        21.45000000000017,
+        21.50000000000017,
+        21.55000000000017,
+        21.600000000000172,
+        21.650000000000173,
+        21.700000000000173,
+        21.750000000000174,
+        21.800000000000175,
+        21.850000000000176,
+        21.900000000000176,
+        21.950000000000177,
+        22.000000000000178,
+        22.05000000000018,
+        22.10000000000018,
+        22.15000000000018,
+        22.20000000000018,
+        22.25000000000018,
+        22.300000000000182,
+        22.350000000000183,
+        22.400000000000183,
+        22.450000000000184,
+        22.500000000000185,
+        22.550000000000185,
+        22.600000000000186,
+        22.650000000000187,
+        22.700000000000188,
+        22.75000000000019,
+        22.80000000000019,
+        22.85000000000019,
+        22.90000000000019,
+        22.95000000000019,
+        23.000000000000192,
+        23.050000000000193,
+        23.100000000000193,
+        23.150000000000194,
+        23.200000000000195,
+        23.250000000000195,
+        23.300000000000196,
+        23.350000000000197,
+        23.400000000000198,
+        23.4500000000002,
+        23.5000000000002,
+        23.5500000000002,
+        23.6000000000002,
+        23.6500000000002,
+        23.700000000000202,
+        23.750000000000203,
+        23.800000000000203,
+        23.850000000000204,
+        23.900000000000205,
+        23.950000000000205,
+        24.000000000000206,
+        24.050000000000207,
+        24.100000000000207,
+        24.150000000000208,
+        24.20000000000021,
+        24.25000000000021,
+        24.30000000000021,
+        24.35000000000021,
+        24.40000000000021,
+        24.450000000000212,
+        24.500000000000213,
+        24.550000000000214,
+        24.600000000000215,
+        24.650000000000215,
+        24.700000000000216,
+        24.750000000000217,
+        24.800000000000217,
+        24.850000000000218,
+        24.90000000000022,
+        24.95000000000022,
+        25.00000000000022,
+        25.05000000000022,
+        25.10000000000022,
+        25.150000000000222,
+        25.200000000000223,
+        25.250000000000224,
+        25.300000000000225,
+        25.350000000000225,
+        25.400000000000226,
+        25.450000000000227,
+        25.500000000000227,
+        25.550000000000228,
+        25.60000000000023,
+        25.65000000000023,
+        25.70000000000023,
+        25.75000000000023,
+        25.80000000000023,
+        25.850000000000232,
+        25.900000000000233,
+        25.950000000000234,
+        26.000000000000234,
+        26.050000000000235,
+        26.100000000000236,
+        26.150000000000237,
+        26.200000000000237,
+        26.250000000000238,
+        26.30000000000024,
+        26.35000000000024,
+        26.40000000000024,
+        26.45000000000024,
+        26.50000000000024,
+        26.550000000000242,
+        26.600000000000243,
+        26.650000000000244,
+        26.700000000000244,
+        26.750000000000245,
+        26.800000000000246,
+        26.850000000000247,
+        26.900000000000247,
+        26.950000000000248,
+        27.00000000000025,
+        27.05000000000025,
+        27.10000000000025,
+        27.15000000000025,
+        27.20000000000025,
+        27.250000000000252,
+        27.300000000000253,
+        27.350000000000254,
+        27.400000000000254,
+        27.450000000000255,
+        27.500000000000256,
+        27.550000000000257,
+        27.600000000000257,
+        27.650000000000258,
+        27.70000000000026,
+        27.75000000000026,
+        27.80000000000026,
+        27.85000000000026,
+        27.90000000000026,
+        27.950000000000262,
+        28.000000000000263,
+        28.050000000000264,
+        28.100000000000264,
+        28.150000000000265,
+        28.200000000000266,
+        28.250000000000266,
+        28.300000000000267,
+        28.350000000000268,
+        28.40000000000027,
+        28.45000000000027,
+        28.50000000000027,
+        28.55000000000027,
+        28.60000000000027,
+        28.650000000000272,
+        28.700000000000273,
+        28.750000000000274,
+        28.800000000000274,
+        28.850000000000275,
+        28.900000000000276,
+        28.950000000000276,
+        29.000000000000277,
+        29.050000000000278,
+        29.10000000000028,
+        29.15000000000028,
+        29.20000000000028,
+        29.25000000000028,
+        29.30000000000028,
+        29.350000000000282,
+        29.400000000000283,
+        29.450000000000284,
+        29.500000000000284,
+        29.550000000000285,
+        29.600000000000286,
+        29.650000000000286,
+        29.700000000000287,
+        29.750000000000288,
+        29.80000000000029,
+        29.85000000000029,
+        29.90000000000029,
+        29.95000000000029,
+        30.00000000000029,
+        30.050000000000292,
+        30.100000000000293,
+        30.150000000000293,
+        30.200000000000294,
+        30.250000000000295,
+        30.300000000000296,
+        30.350000000000296,
+        30.400000000000297,
+        30.450000000000298,
+        30.5000000000003,
+        30.5500000000003,
+        30.6000000000003,
+        30.6500000000003,
+        30.7000000000003,
+        30.750000000000302,
+        30.800000000000303,
+        30.850000000000303,
+        30.900000000000304,
+        30.950000000000305,
+        31.000000000000306,
+        31.050000000000306,
+        31.100000000000307,
+        31.150000000000308,
+        31.20000000000031,
+        31.25000000000031,
+        31.30000000000031,
+        31.35000000000031,
+        31.40000000000031,
+        31.450000000000312,
+        31.500000000000313,
+        31.550000000000313,
+        31.600000000000314,
+        31.650000000000315,
+        31.700000000000315,
+        31.750000000000316,
+        31.800000000000317,
+        31.850000000000318,
+        31.90000000000032,
+        31.95000000000032,
+        32.00000000000032,
+        32.05000000000032,
+        32.100000000000314,
+        32.15000000000031,
+        32.20000000000031,
+        32.250000000000306,
+        32.3000000000003,
+        32.3500000000003,
+        32.4000000000003,
+        32.450000000000294,
+        32.50000000000029,
+        32.55000000000029,
+        32.600000000000286,
+        32.65000000000028,
+        32.70000000000028,
+        32.75000000000028,
+        32.800000000000274,
+        32.85000000000027,
+        32.90000000000027,
+        32.950000000000266,
+        33.00000000000026,
+        33.05000000000026,
+        33.10000000000026,
+        33.150000000000254,
+        33.20000000000025,
+        33.25000000000025,
+        33.300000000000246,
+        33.35000000000024,
+        33.40000000000024,
+        33.45000000000024,
+        33.500000000000234,
+        33.55000000000023,
+        33.60000000000023,
+        33.650000000000226,
+        33.70000000000022,
+        33.75000000000022,
+        33.80000000000022,
+        33.850000000000215,
+        33.90000000000021,
+        33.95000000000021,
+        34.000000000000206,
+        34.0500000000002,
+        34.1000000000002,
+        34.1500000000002,
+        34.200000000000195,
+        34.25000000000019,
+        34.30000000000019,
+        34.350000000000186,
+        34.40000000000018
+    ],
+    "x": [
+        1733.0000000000002,
+        1733.0000000000002,
+        1732.9442188870503,
+        1732.8693836506627,
+        1732.9939214631067,
+        1733.1449555352935,
+        1733.2674563921892,
+        1733.4094906521505,
+        1733.5574068485453,
+        1733.7247235442173,
+        1733.5264507581555,
+        1733.7484669047699,
+        1733.8125766631506,
+        1733.7088330353895,
+        1733.3520284487486,
+        1733.6364349991368,
+        1733.3089571297544,
+        1733.5092800600619,
+        1733.04755206491,
+        1732.5411911678366,
+        1731.987140623864,
+        1732.4840567591705,
+        1732.1597872598759,
+        1732.2539314322298,
+        1731.7740652345724,
+        1731.4873403874408,
+        1731.3166286941785,
+        1730.9155772527838,
+        1731.1293925333243,
+        1731.3235477176697,
+        1731.166704085154,
+        1730.359326174267,
+        1730.490006008462,
+        1730.9052313308794,
+        1729.6110909356366,
+        1730.4933334852324,
+        1730.3908083676179,
+        1729.573983611692,
+        1730.558014723075,
+        1731.0850725643704,
+        1730.0525327222008,
+        1728.915045964545,
+        1728.5823060273672,
+        1728.0922360592854,
+        1728.3775682299256,
+        1728.5368756431315,
+        1728.1717547136527,
+        1727.829574299918,
+        1727.1323976877622,
+        1726.4104551887401,
+        1725.7850569333482,
+        1725.1128414022585,
+        1724.8657239109011,
+        1724.6201918633378,
+        1723.6707959925498,
+        1722.5867909481117,
+        1722.9405000873762,
+        1723.7729135694756,
+        1723.0976698477084,
+        1722.1063695776138,
+        1722.320628951698,
+        1722.8788733042616,
+        1721.9162480958116,
+        1720.2408198437356,
+        1720.20575084141,
+        1721.082056076547,
+        1722.3884967537651,
+        1724.0128075030582,
+        1724.8299062229244,
+        1725.4282920121468,
+        1727.1236096957712,
+        1729.4379669343816,
+        1730.4960523188088,
+        1730.973452194061,
+        1731.6404173536162,
+        1732.3894016549382,
+        1732.171056319033,
+        1731.3810434336563,
+        1732.0895511628337,
+        1733.9439789414514,
+        1736.447442189921,
+        1739.4000345536988,
+        1742.722683734663,
+        1746.3851292320107,
+        1749.9024296491698,
+        1753.487759254975,
+        1756.0210285442458,
+        1757.5905870558145,
+        1759.054284005114,
+        1760.3880351238622,
+        1763.1832681722676,
+        1766.9035046515137,
+        1771.167334189986,
+        1775.8157985790826,
+        1780.7819781874955,
+        1786.0359376807044,
+        1791.56139937001,
+        1797.345880683938,
+        1803.3766401154194,
+        1809.6391372771561,
+        1816.1165715751576,
+        1822.7898729987478,
+        1829.6378731337468,
+        1836.6375399084404,
+        1843.7642273816934,
+        1850.9919212151854,
+        1858.2934729776616,
+        1865.6408216164232,
+        1873.0052024620863,
+        1880.3573448205998,
+        1887.6676593372958,
+        1894.9064162292616,
+        1902.043915318039,
+        1909.0506486144768,
+        1915.8974560353781,
+        1922.555674676179,
+        1928.997281927684,
+        1935.1950326076794,
+        1941.122590178927,
+        1946.754652042088,
+        1952.9028713954522,
+        1959.5503460091081,
+        1965.6792327821302,
+        1971.492131029196,
+        1977.9497834762064,
+        1984.938648873826,
+        1991.4591030068427,
+        1997.7669301560886,
+        2003.3605704230872,
+        2008.4720830321237,
+        2013.183107214094,
+        2017.5201201488926,
+        2021.4856734031362,
+        2025.071259249079,
+        2028.2635324807743,
+        2031.0475507495078,
+        2033.4085148085856,
+        2035.332720607359,
+        2036.8080905219613,
+        2037.8244766608145,
+        2038.3738376902838,
+        2038.4503425196438,
+        2038.0504290623498,
+        2037.1728332400835,
+        2035.8185966121841,
+        2033.9910574545354,
+        2033.0774009587444,
+        2032.9835132242624,
+        2032.8894577675783,
+        2032.7875695314046,
+        2031.2341819003273,
+        2028.8274341702322,
+        2025.8309908795127,
+        2022.362658826226,
+        2018.477413854138,
+        2014.2036891164853,
+        2009.5595886782962,
+        2004.5601665304325,
+        1999.220638374789,
+        1993.5577270539263,
+        1987.5901524587814,
+        1981.33873221664,
+        1975.6716652220186,
+        1969.3763352540248,
+        1962.6912566998167,
+        1955.7373284085033,
+        1948.58217890656,
+        1941.8697063844002,
+        1934.724205324258,
+        1927.4382194091231,
+        1919.9629079827582,
+        1912.7803649451862,
+        1905.55895885814,
+        1898.0594341617734,
+        1890.4950346069547,
+        1882.971807479707,
+        1875.352505817184,
+        1867.7322544782692,
+        1860.1676830229799,
+        1852.6973930638724,
+        1845.1825131556193,
+        1837.8117598495296,
+        1830.6118384406716,
+        1823.2347602445548,
+        1816.1409312913615,
+        1809.3088333107246,
+        1802.7443371743766,
+        1795.7606391537443,
+        1789.258332889877,
+        1783.1442718972512,
+        1777.3920034914358,
+        1772.0002158158657,
+        1766.979095884556,
+        1762.0907815022279,
+        1757.682839280385,
+        1753.731834070531,
+        1750.234937390893,
+        1747.1985870640888,
+        1744.6329115368344,
+        1742.54884704071,
+        1740.9566131832373,
+        1739.8648966199362,
+        1737.8865047908946,
+        1736.5889977045726,
+        1734.3796604554093,
+        1733.3593725822197,
+        1733.237295407244,
+        1732.066310733565,
+        1732.0971081692783,
+        1732.9264920339504,
+        1732.6552354014473,
+        1732.008592774527,
+        1730.3036486881233,
+        1727.9419998971891,
+        1727.1908775986758,
+        1725.2339785746274,
+        1722.5362551053865,
+        1719.3047030504554,
+        1715.631595152925,
+        1711.5587209573744,
+        1707.106521464922,
+        1702.2875734488334,
+        1697.1128255828728,
+        1691.5944037375782,
+        1685.7467814470767,
+        1679.5871737078635,
+        1673.1355657709737,
+        1666.414573996742,
+        1659.4492325764988,
+        1652.2667503594917,
+        1644.896258341405,
+        1637.368557130058,
+        1629.7158684210922,
+        1622.2453705975831,
+        1614.5534318762775,
+        1606.756293035794,
+        1598.9252558321011,
+        1591.1918149692256,
+        1583.4135144891638,
+        1575.621709043438,
+        1567.888764342717,
+        1560.2649184865427,
+        1552.5195802637986,
+        1544.9571982672464,
+        1537.592101205776,
+        1529.9721761040446,
+        1522.675454874713,
+        1515.667144926961,
+        1508.4479618285268,
+        1501.0888904630847,
+        1494.2199800367866,
+        1487.7424864139778,
+        1481.4541006942286,
+        1475.5724351645306,
+        1470.0858434547329,
+        1464.9995832476438,
+        1459.649062606913,
+        1454.921509313012,
+        1450.7281679558719,
+        1447.0359049865149,
+        1443.8365684760493,
+        1441.133506146837,
+        1438.9349016250471,
+        1437.250274834867,
+        1436.0885942675682,
+        1434.0441610032567,
+        1433.0092185358244,
+        1431.052152401524,
+        1430.3068013732864,
+        1428.56835188863,
+        1428.1295148690401,
+        1428.5603996065672,
+        1429.6629417243562,
+        1429.9216568603938,
+        1431.212611645082,
+        1433.2424709057434,
+        1435.8707073440146,
+        1439.0267109878134,
+        1442.671750767528,
+        1446.7809575363458,
+        1451.334632847425,
+        1456.3140617755967,
+        1460.494730372606,
+        1465.5280244631513,
+        1471.1493950125262,
+        1477.0392157705692,
+        1483.3732130055623,
+        1490.062198666009,
+        1497.0492057187266,
+        1504.2915003332914,
+        1511.752059207427,
+        1518.777112964065,
+        1526.2441669502218,
+        1533.9445526321865,
+        1541.6460453618574,
+        1549.461883603724,
+        1557.432048745301,
+        1565.206563455017,
+        1573.1722390618856,
+        1581.205273805155,
+        1589.1507194422845,
+        1597.027174885201,
+        1605.0227313867401,
+        1613.0472608921764,
+        1621.017544183746,
+        1628.876956424912,
+        1636.5841191584818,
+        1644.4591354717913,
+        1652.0996426360334,
+        1659.498767924806,
+        1666.6345274793287,
+        1673.4823568454167,
+        1680.0164015337461,
+        1686.209806264851,
+        1692.0352434508027,
+        1697.4655559148218,
+        1702.4743564142373,
+        1707.0365256753219,
+        1711.1286073367073,
+        1714.729117452602,
+        1717.8187880568432,
+        1721.2085222614198,
+        1723.8096100009932,
+        1725.7418830217357,
+        1728.515288669723,
+        1730.2440285474238,
+        1731.1844860045803,
+        1731.4570106646458,
+        1732.6663533887763,
+        1734.0152024644703,
+        1734.161806104744,
+        1735.3271143395148,
+        1737.5018859097686,
+        1738.030299277862,
+        1737.5121600779044,
+        1738.1782485611993,
+        1738.7934937235166,
+        1740.5655681680605,
+        1742.8462703526711,
+        1745.7814122176974,
+        1749.2411719707134,
+        1753.1636643719194,
+        1757.5179975316746,
+        1762.2863824908363,
+        1767.4553410430901,
+        1773.0114211273872,
+        1778.9391871648772,
+        1785.220365074431,
+        1791.8335724386893,
+        1798.7543433514938,
+        1805.9552999883972,
+        1813.4063957483377,
+        1821.0751919070483,
+        1828.9271485447812,
+        1836.92592001796,
+        1845.0336500201697,
+        1853.2112636585791,
+        1861.4187551432447,
+        1869.5451395263199,
+        1877.7185303829137,
+        1885.857977101648,
+        1893.9163423143266,
+        1902.0638209293288,
+        1910.0563338602346,
+        1917.8628595828059,
+        1925.7079090190477,
+        1933.2746583587268,
+        1941.1468186699658,
+        1949.208236429994,
+        1956.8003745210194,
+        1964.546081382573,
+        1971.8475854664503,
+        1978.7655329489255,
+        1985.3074337992482,
+        1991.5352218751204,
+        1997.346533822838,
+        2002.7272597857905,
+        2007.6584206040031,
+        2012.1189029256484,
+        2017.134947312465,
+        2021.3626036777168,
+        2024.9318958874123,
+        2027.8982500297054,
+        2030.2832447689543,
+        2032.092554407307,
+        2033.3248121487939,
+        2034.6433158870525,
+        2035.3249603468216,
+        2035.2807277292138,
+        2035.0656411359757,
+        2034.0873239664193,
+        2032.4437028290795,
+        2030.7366151906795,
+        2028.7805099579684,
+        2027.700426071535,
+        2025.4067287496619,
+        2022.2583004061469,
+        2019.4064616292985,
+        2015.6589391927296,
+        2012.82276288629,
+        2008.8892578620848,
+        2004.1950935291475,
+        2000.1359744063393,
+        1995.1626120537287,
+        1989.545194360007,
+        1983.4299409692167,
+        1976.90149698945,
+        1970.0151588067006,
+        1963.4962308437969,
+        1956.4258065106599,
+        1948.969054844454,
+        1941.2251678267498,
+        1933.2606458725186,
+        1925.1267473898515,
+        1916.8681872062202,
+        1908.6258434110496,
+        1900.279015024692,
+        1891.8988919891203,
+        1883.6088765795039,
+        1875.2681794503274,
+        1866.9625506001412,
+        1858.683841365356,
+        1850.525235808791,
+        1842.5388883115547,
+        1834.768826901483,
+        1827.2543401942007,
+        1820.0325257158083,
+        1812.4586650977146,
+        1805.364371092616,
+        1797.823844126131,
+        1790.9000098216363,
+        1784.4855480164942,
+        1778.5496736306254,
+        1773.090165847555,
+        1768.1174682685992,
+        1762.4807579537105,
+        1757.6491982985049,
+        1753.4872292484174,
+        1748.5477616219368,
+        1743.8475854225676,
+        1740.088689022204,
+        1736.3526590711099,
+        1733.4675930186927,
+        1731.2943094697282,
+        1729.7686665526135,
+        1728.861623243345,
+        1728.5607809884905,
+        1728.861039494278,
+        1728.65909356751,
+        1729.3764675865377,
+        1730.8466539919011,
+        1731.807252690765,
+        1731.8520351008215,
+        1730.9442249528652,
+        1729.2652958864487,
+        1726.9830366676563,
+        1724.1765435029417,
+        1720.8827702686738,
+        1717.1192723792724,
+        1712.895820413807,
+        1708.2204350923912,
+        1703.1024933679412,
+        1697.5542614253723,
+        1691.5915751988814,
+        1685.2340574814116,
+        1678.505082666978,
+        1671.4316036810942,
+        1664.0439033463845,
+        1656.3753041525351,
+        1648.4618551615035,
+        1640.3420065855344,
+        1632.0562781722783,
+        1623.6469251613357,
+        1615.1576042966274,
+        1606.6330416846858,
+        1598.1187039109918,
+        1589.6604736208492,
+        1581.30433066053,
+        1573.0960398162342,
+        1565.0808461591932,
+        1557.3031789913966,
+        1549.2836337109106,
+        1541.6492494067418,
+        1534.3923804780206,
+        1526.7489909486235,
+        1518.6871029283434,
+        1511.3176429458022,
+        1503.4556822673517,
+        1495.4788842747444,
+        1488.2081079171082,
+        1480.9996328362342,
+        1474.3603770975715,
+        1468.2267676716199,
+        1462.2926891218626,
+        1456.9077952309713,
+        1452.0566271390614,
+        1447.7416496089718,
+        1443.612677316909,
+        1440.127240750419,
+        1437.260627517752,
+        1434.7341911453063,
+        1432.8885858534677,
+        1431.695845760159,
+        1429.6610956018908,
+        1428.6626076205735,
+        1428.495565625009,
+        1429.0284981091759,
+        1430.2406891625608,
+        1432.096076115575,
+        1434.5709627995752,
+        1436.4327323604307,
+        1438.9579257981943,
+        1442.3229841067264,
+        1446.3776036536779,
+        1451.0338034089395,
+        1454.9024278582262,
+        1457.9942777579995,
+        1462.3190895836133,
+        1467.4966282135813,
+        1473.312994907974,
+        1479.4293302059557,
+        1486.0582950917978,
+        1493.110100515516,
+        1500.5222556227545,
+        1507.3641671561031,
+        1514.8091071900983,
+        1522.0864293200402,
+        1529.8901357606455,
+        1538.0417936547797,
+        1546.4282105829461,
+        1554.9718521749091,
+        1563.612975647522,
+        1572.3000765014688,
+        1580.9851175187919,
+        1589.6213219116855,
+        1598.192425734057,
+        1606.6485803225778,
+        1615.2084120313,
+        1623.5753876329795,
+        1631.7732222395302,
+        1639.7014564128258,
+        1647.911013030623,
+        1655.714813438551,
+        1663.131135326255,
+        1670.1468108596039,
+        1676.918789326728,
+        1683.2137877185453,
+        1689.0182438769652,
+        1694.3121309923981,
+        1700.146916577773,
+        1706.6448235437815,
+        1712.1219181135848,
+        1716.81682398664,
+        1721.5587936607349,
+        1725.49482923492,
+        1728.7248232181607,
+        1731.2924851981224,
+        1733.2152106505532,
+        1735.951645587695,
+        1737.6458319074666,
+        1740.0622942686823,
+        1741.3140202526486,
+        1741.7047202101162,
+        1743.0505174962304,
+        1743.247971771807,
+        1744.0691133758046,
+        1743.7511130962685,
+        1744.2083249331931,
+        1743.8710300537552,
+        1742.6388737057828,
+        1740.9232934782895,
+        1740.3787731225261,
+        1738.7831477386092,
+        1738.3519596842177,
+        1736.5817461930174,
+        1736.036880035841,
+        1734.1067758927238,
+        1732.4653914480668,
+        1731.899114262336,
+        1731.9828335686784,
+        1731.3017985238234,
+        1730.2599389774955,
+        1729.554015875176,
+        1728.928932792081,
+        1726.942527298513,
+        1726.5639332251303,
+        1724.6640206122875,
+        1724.3405748401378,
+        1722.4529935751534,
+        1722.0860261868534,
+        1722.4719592565116,
+        1722.5839030320985,
+        1722.4756187216053,
+        1721.007630179968,
+        1721.3611261028746,
+        1721.701969589384,
+        1721.7792111060521,
+        1720.534706275213,
+        1720.5501636345166,
+        1721.3089842032182,
+        1721.9660688119488,
+        1721.125510907078,
+        1721.2881970816352,
+        1722.3374672972282,
+        1721.6523212755174,
+        1722.2904165425002,
+        1723.3533092922776,
+        1722.7134012528022,
+        1723.8334551166786,
+        1724.8026842736408,
+        1724.4465011277864,
+        1723.5760407555595,
+        1724.855629081697,
+        1725.5468468380268,
+        1725.3284218042818,
+        1726.0449206903684,
+        1725.4351671634613,
+        1725.8338339922936,
+        1726.503976400401,
+        1726.3077550031126,
+        1726.66739325985,
+        1726.7996386256937,
+        1726.3376740786002,
+        1726.5689452695856,
+        1726.593362581548,
+        1726.8732951014476,
+        1726.5646151458072,
+        1726.88410960293,
+        1726.7250851349995,
+        1726.9232636777501,
+        1726.8489036368592,
+        1726.6260156874905,
+        1726.741366533684,
+        1726.4530120762047,
+        1726.3627477051223,
+        1726.212604924044,
+        1726.156875337991,
+        1725.978511395468,
+        1725.7922041738716,
+        1725.6039893774812,
+        1725.3970758229666,
+        1725.2085410737832,
+        1725.0047859900883,
+        1724.8188627699506,
+        1724.602709121205,
+        1724.4190444246049,
+        1724.1923907026721,
+        1724.0064680293265,
+        1723.7931534834154,
+        1723.602289049009,
+        1723.4163828697854,
+        1723.2328228228446,
+        1723.010071082001,
+        1722.8242727168831,
+        1722.6146375439478,
+        1722.4305792138234,
+        1722.2132967090015,
+        1722.0310207194798,
+        1721.8058905247276,
+        1721.623816493764,
+        1721.3990449496703,
+        1721.2172075834164,
+        1720.99261376358,
+        1720.8064484771016,
+        1720.6055370079239,
+        1720.424156560565,
+        1720.2000710137218,
+        1720.0169626759266,
+        1719.8031095945562,
+        1719.6221739881435,
+        1719.3986111003042,
+        1719.2177483382627,
+        1718.9951909827887,
+        1718.8144343386962,
+        1718.5927101805191,
+        1718.4124295129309,
+        1718.1896634683144,
+        1718.0047811247327,
+        1717.8066030619807,
+        1717.622998098363,
+        1717.4197514019456,
+        1717.231737184268,
+        1717.0519727404967,
+        1716.867917662892,
+        1716.6696925354888,
+        1716.4872157467455,
+        1716.282460026821,
+        1716.0984645058302
+    ],
+    "y": [
+        -406.0866103896103,
+        -406.25978048702905,
+        -406.51942016584,
+        -406.865382305517,
+        -407.29813111472424,
+        -407.8167527082107,
+        -408.4213152523745,
+        -409.1115791811368,
+        -409.88750040928676,
+        -410.7487569539256,
+        -411.7016327398714,
+        -412.73432591421226,
+        -413.85518202863506,
+        -415.06484204184204,
+        -416.36227760054226,
+        -417.73904366324484,
+        -419.2069775867833,
+        -420.7564744299771,
+        -422.39426731669613,
+        -424.1116216124641,
+        -425.9072737029275,
+        -427.8113437935993,
+        -429.78392332708387,
+        -431.8498376235177,
+        -433.9876321253256,
+        -436.21348314301724,
+        -438.52791574191565,
+        -440.9175296095149,
+        -443.4175613072411,
+        -445.9995444016899,
+        -448.6548998640116,
+        -451.36785938743117,
+        -454.2053892061513,
+        -457.1339722876494,
+        -460.07653733628626,
+        -463.20191018062945,
+        -466.3668054885207,
+        -469.5871003874393,
+        -472.95547049245016,
+        -476.37652301462083,
+        -479.8705572453314,
+        -483.41467821963886,
+        -487.0725986640284,
+        -490.80291678412044,
+        -494.67344069982465,
+        -498.61843333977845,
+        -502.6247333922704,
+        -506.7235211917997,
+        -510.8913499811482,
+        -515.1470638930165,
+        -519.5054616668924,
+        -523.9569984851238,
+        -528.5563676722809,
+        -533.2592189867443,
+        -537.9934097012007,
+        -542.812491516158,
+        -547.9182729999613,
+        -553.1448081497795,
+        -558.36703313269,
+        -563.6781775173645,
+        -569.203712831159,
+        -574.852975412018,
+        -580.5542893422037,
+        -586.3065558602189,
+        -592.3165282033451,
+        -598.4929710610637,
+        -604.7505609173297,
+        -611.0597152609186,
+        -617.5209438390259,
+        -624.1324664329127,
+        -630.7474790173064,
+        -637.3578552135474,
+        -644.3274381811495,
+        -651.5440321508777,
+        -658.7217126875667,
+        -665.8857090531126,
+        -673.17694984082,
+        -680.4765427949014,
+        -687.6486282460841,
+        -694.713569370577,
+        -701.6414605966324,
+        -708.4065078568087,
+        -714.9907818408446,
+        -721.3777768819921,
+        -727.7525968179227,
+        -734.063996044088,
+        -740.8632626175092,
+        -748.0816051436632,
+        -755.2950309019957,
+        -762.5142595045465,
+        -769.2202504230274,
+        -775.5621397893182,
+        -781.609322814177,
+        -787.3793968734429,
+        -792.8711411719078,
+        -798.073964043672,
+        -802.9722549176483,
+        -807.5479455531934,
+        -811.7821008740053,
+        -815.6559138598323,
+        -819.1513354819907,
+        -822.2514844451887,
+        -824.9409237096681,
+        -827.205854343332,
+        -829.0342556873716,
+        -830.4159885561579,
+        -831.3428713521309,
+        -831.8087351612384,
+        -831.809461727912,
+        -831.343006935441,
+        -830.4094116345018,
+        -829.0108011563798,
+        -827.1513745053303,
+        -824.8373839856707,
+        -822.0771058495638,
+        -818.8808024308914,
+        -815.2606761463668,
+        -811.2308156884474,
+        -806.8071346993805,
+        -802.0073031970884,
+        -797.9620999044198,
+        -794.5891577894351,
+        -790.4863356757678,
+        -785.9471679690087,
+        -782.242305551018,
+        -779.315940830821,
+        -775.7616673678305,
+        -771.8886313506172,
+        -766.9680530394894,
+        -761.463266212857,
+        -755.5810827601043,
+        -749.4148384505922,
+        -743.0103541625272,
+        -736.3947822803138,
+        -729.5890445320982,
+        -722.6130479513852,
+        -715.4877316423754,
+        -708.2357373626703,
+        -700.8814954747004,
+        -693.4510732070908,
+        -685.971935362022,
+        -678.4726810188063,
+        -670.9827820423465,
+        -663.5323329922256,
+        -656.1518152374827,
+        -648.8718753756596,
+        -641.4698142986188,
+        -633.9235256153929,
+        -626.38273100258,
+        -618.8501009678339,
+        -611.517862334429,
+        -604.3597077816498,
+        -597.3929212170401,
+        -590.6370293949697,
+        -584.1118892875184,
+        -577.8386614406802,
+        -571.8398355327023,
+        -566.1387104015087,
+        -560.7587759947378,
+        -555.7231733154692,
+        -551.0542660505838,
+        -546.7733091381224,
+        -541.8358225048408,
+        -537.6873835117724,
+        -534.132897836669,
+        -531.0936108070473,
+        -528.539710697084,
+        -525.1087313247065,
+        -522.6440106817234,
+        -520.5942724207908,
+        -519.2162853124381,
+        -516.8579491635364,
+        -514.6034385520293,
+        -513.4654442050503,
+        -512.7583990172843,
+        -511.8861942253564,
+        -511.9164376056998,
+        -512.6031862937809,
+        -513.8367549602044,
+        -515.5668943379605,
+        -516.5975441273201,
+        -518.5435670409877,
+        -521.1415162590015,
+        -522.954195118828,
+        -525.7591142704825,
+        -529.2329320014703,
+        -533.2243624297797,
+        -536.2570290151921,
+        -540.2658729590804,
+        -544.90909626917,
+        -550.0238928242711,
+        -555.5279786293663,
+        -561.3743900004362,
+        -567.2836255485325,
+        -573.5855573023146,
+        -580.1956199342997,
+        -587.0617940154328,
+        -594.1458133752012,
+        -601.4146821944071,
+        -608.8369453201594,
+        -616.3811342816239,
+        -624.0152003758924,
+        -631.4155688567139,
+        -638.9689235693909,
+        -646.3608625786626,
+        -653.9700894188506,
+        -661.6873562561975,
+        -669.2940769433881,
+        -677.0002760528229,
+        -684.7060495234989,
+        -692.4035692959112,
+        -700.1103360695147,
+        -707.7883618001953,
+        -715.3590505777441,
+        -723.0381664222988,
+        -730.5883294340892,
+        -737.9804456722782,
+        -745.1813218566901,
+        -752.1660775178018,
+        -758.9129294343784,
+        -765.3998533570134,
+        -771.6036235637046,
+        -777.4999794739335,
+        -783.0641566203117,
+        -788.2714581464331,
+        -793.0977602070029,
+        -797.519931299619,
+        -801.516173756886,
+        -805.0663014383699,
+        -808.1519663052106,
+        -810.7568436938186,
+        -812.8667835059857,
+        -814.4699325693875,
+        -816.5784362694533,
+        -817.8135098409294,
+        -818.3627108860779,
+        -818.3129558415735,
+        -819.1962640853416,
+        -819.5037625547395,
+        -818.8712001390345,
+        -817.5365334849872,
+        -815.6128681026416,
+        -814.6748261608152,
+        -812.676347953811,
+        -809.9388209947786,
+        -808.1872487786525,
+        -805.3387460559413,
+        -801.753040654841,
+        -798.7427713819498,
+        -796.0426814123539,
+        -792.2391429284456,
+        -787.7222230214852,
+        -782.9649793364667,
+        -777.668809311308,
+        -771.9468283712164,
+        -765.8618756665386,
+        -760.1127680109767,
+        -753.7942663207173,
+        -747.0797442432598,
+        -740.0639337857484,
+        -732.8053500731594,
+        -725.3466731431467,
+        -717.7242611790327,
+        -709.9724562521797,
+        -702.1254278443665,
+        -694.5227464149087,
+        -686.7001589460391,
+        -679.0412577861084,
+        -671.18111448693,
+        -663.4493565147591,
+        -655.5552335393068,
+        -647.6158955797988,
+        -639.7131010618746,
+        -631.8128602732561,
+        -623.978546439938,
+        -616.2640219720503,
+        -608.712637445471,
+        -601.3591299385375,
+        -594.2346353453988,
+        -587.3692481099766,
+        -580.7928277253382,
+        -574.5349949448109,
+        -567.7984123785483,
+        -561.6448709066278,
+        -555.9783009560956,
+        -550.5985374527169,
+        -545.7135080433625,
+        -541.3072878506282,
+        -537.3812597560029,
+        -533.9447872476974,
+        -531.0104319954424,
+        -527.275771800683,
+        -524.4772006576877,
+        -522.3173879492178,
+        -520.2387148951483,
+        -518.6003426792645,
+        -517.7246788000771,
+        -515.9013216873216,
+        -515.1964244160235,
+        -515.2984620576183,
+        -514.3926595088681,
+        -512.5189910009881,
+        -512.1820041383718,
+        -512.8290345967029,
+        -514.2019493976952,
+        -516.1776099819496,
+        -518.694945092365,
+        -520.1689865335172,
+        -522.6776343047668,
+        -525.921507032363,
+        -529.7516641239393,
+        -534.0896414798899,
+        -538.8895378081374,
+        -544.1197767580613,
+        -549.7542513100082,
+        -555.7680554809817,
+        -562.1354883801615,
+        -568.8291886449499,
+        -575.8198309845172,
+        -583.0761015602293,
+        -590.5648111890305,
+        -597.8622445836239,
+        -605.506316724832,
+        -613.3694923901485,
+        -620.940514247329,
+        -628.8273452866315,
+        -636.8790780707382,
+        -645.0015191784855,
+        -652.9857383175399,
+        -660.9662469243956,
+        -669.0594331656046,
+        -677.0908134622673,
+        -685.0346062532284,
+        -693.1155578793459,
+        -701.2483063304849,
+        -709.3357664049973,
+        -717.4285491378192,
+        -725.4597314159096,
+        -733.3946985412489,
+        -741.1613516819119,
+        -748.7191207318854,
+        -756.0376790413275,
+        -763.0902594932422,
+        -769.8503762808152,
+        -776.2908271848388,
+        -782.3837596931044,
+        -788.1011274319898,
+        -793.4152333358079,
+        -798.2992426151301,
+        -802.7276303695473,
+        -806.67656039121,
+        -810.1242019048477,
+        -813.0509928611941,
+        -815.4398575130274,
+        -817.2763845069727,
+        -818.5489703422093,
+        -819.2489319525602,
+        -819.3705913489537,
+        -820.0333065726176,
+        -819.7606989733345,
+        -818.739770125749,
+        -817.1793271450424,
+        -816.4981906667792,
+        -814.7299079044974,
+        -812.1626254114035,
+        -809.836101205571,
+        -806.6349765837474,
+        -804.3347828096705,
+        -802.5546665515694,
+        -799.4441145475531,
+        -796.7276476386312,
+        -792.9236576316871,
+        -788.3758415172508,
+        -783.2612161439336,
+        -777.7791999603203,
+        -771.8442285351716,
+        -765.5144034532757,
+        -758.8309933068554,
+        -751.8284731171088,
+        -745.3157569922843,
+        -738.2305931142228,
+        -730.75918158634,
+        -723.0109982665213,
+        -715.057060380335,
+        -706.9503106238162,
+        -698.7357813440756,
+        -690.5899124245982,
+        -682.3493092928838,
+        -674.0574620047701,
+        -665.7938413134204,
+        -657.5588671663651,
+        -649.4144171181865,
+        -641.3201028629317,
+        -633.2878566059643,
+        -625.0678850322747,
+        -617.1177045475173,
+        -609.4263984882011,
+        -601.6578665868021,
+        -594.2397920260444,
+        -586.445970804854,
+        -579.1365633529142,
+        -572.2410325705389,
+        -565.0115117899167,
+        -558.3372192364006,
+        -552.1436631416036,
+        -546.4112902055133,
+        -541.1423082095741,
+        -536.3490690021674,
+        -531.1993590968207,
+        -526.7713222665523,
+        -522.9718507849823,
+        -519.7630755755877,
+        -517.1325964270159,
+        -515.0799792719101,
+        -513.609875673519,
+        -512.2917263388579,
+        -511.6910379016793,
+        -511.7492234595323,
+        -510.95030413503446,
+        -511.2107052864663,
+        -512.2889494554663,
+        -513.3368016990269,
+        -515.2378054444982,
+        -517.8400115406309,
+        -521.0606388822474,
+        -524.8501297727892,
+        -529.1743094064057,
+        -532.692718960858,
+        -537.1348516870183,
+        -540.7909416169514,
+        -545.4980776460725,
+        -550.9356055219812,
+        -556.9277829957405,
+        -563.3731190964588,
+        -570.2064512080972,
+        -576.4009443247589,
+        -583.2701833732347,
+        -590.6016882476273,
+        -597.3841944656674,
+        -604.3355208157645,
+        -611.8639561154675,
+        -619.3881477893519,
+        -627.3204955637939,
+        -635.507844263813,
+        -643.8549766082607,
+        -652.2965125417813,
+        -660.7811407608131,
+        -669.2636233399395,
+        -677.6716170124288,
+        -686.0830545293086,
+        -694.4218543479197,
+        -702.7832213287161,
+        -711.2575791931433,
+        -719.8076748858612,
+        -728.3270764220181,
+        -736.7305101041752,
+        -744.9652722013386,
+        -752.9944709234054,
+        -760.7870426168513,
+        -768.3130895878651,
+        -775.5421561860186,
+        -782.4429160575343,
+        -788.9834639717182,
+        -795.131824321573,
+        -800.8565028754032,
+        -806.1270107046751,
+        -810.9143353578957,
+        -815.1913538745755,
+        -818.9331897298732,
+        -822.1175181361739,
+        -824.7248244056109,
+        -826.7386196385376,
+        -828.1456173931895,
+        -828.9358744122413,
+        -829.1028979920044,
+        -828.6437221853788,
+        -827.5589547191212,
+        -825.8527962650974,
+        -823.5330335210514,
+        -820.6110074185206,
+        -817.1015576755848,
+        -814.3268772525257,
+        -810.592617049852,
+        -806.119822256087,
+        -802.388364476255,
+        -799.4024396561022,
+        -795.1483494280212,
+        -791.7416127706585,
+        -788.5571372896682,
+        -784.1000417247612,
+        -779.5427769889017,
+        -774.1147032742188,
+        -768.0632473250521,
+        -761.8579020885606,
+        -755.1309110831133,
+        -747.9931254233073,
+        -740.5154827339743,
+        -732.9887148260032,
+        -725.1198934528936,
+        -716.9948266507088,
+        -708.7856555845749,
+        -700.3806362344249,
+        -691.8508616081147,
+        -683.5499402196004,
+        -675.0419521487083,
+        -666.4466479548282,
+        -657.8498321133925,
+        -649.3113654530038,
+        -640.8847566331003,
+        -632.6177036561398,
+        -624.2618316169186,
+        -616.0694717343981,
+        -608.1514843183703,
+        -600.5384997746314,
+        -593.2639672750765,
+        -585.610002819787,
+        -577.528159341329,
+        -570.1100682914966,
+        -563.2155173854004,
+        -556.8072731779814,
+        -550.7013081594833,
+        -545.1227431276479,
+        -540.0726441944249,
+        -535.5625762607647,
+        -530.355852997279,
+        -526.0104573189059,
+        -521.4194327252296,
+        -517.7302267677762,
+        -514.7943936693379,
+        -512.5441946271112,
+        -510.949207565117,
+        -509.9968472729839,
+        -509.6826017454344,
+        -510.0047597283731,
+        -510.96145712117504,
+        -512.1276011568664,
+        -514.0357951224247,
+        -515.1208574291289,
+        -517.2759153483944,
+        -520.0488859712382,
+        -523.5842310417352,
+        -526.2844302622748,
+        -530.0252764571317,
+        -534.5480237226092,
+        -539.7066167236708,
+        -545.1500919427108,
+        -551.1673836091785,
+        -557.6724286917058,
+        -564.6042987097393,
+        -570.9950232956967,
+        -576.81014953487,
+        -583.5261362892445,
+        -590.8515965974212,
+        -598.1159234490638,
+        -605.8881751173619,
+        -614.0100170997755,
+        -622.3799432918572,
+        -630.9263372472521,
+        -639.0428522940881,
+        -647.3498325975158,
+        -655.3503486127854,
+        -663.5099413219557,
+        -671.6830687472941,
+        -679.5961258491775,
+        -687.5277894637915,
+        -695.2926075924021,
+        -703.0091215738701,
+        -710.5888579225798,
+        -718.0681865235479,
+        -725.3935714993895,
+        -732.5243421332368,
+        -739.6634630838938,
+        -746.5491553176751,
+        -753.505406479298,
+        -760.1284230816955,
+        -766.864734203581,
+        -773.2246549539877,
+        -779.5252925204967,
+        -785.9569006154155,
+        -792.3817264845757,
+        -798.5416591963462,
+        -804.5317552818525,
+        -810.4681161617934,
+        -816.3064700939672,
+        -821.8095202518919,
+        -827.4805399818385,
+        -832.7675270142516,
+        -838.2394301930427,
+        -843.3020736301105,
+        -848.5560066338924,
+        -853.8076049884169,
+        -858.8756724891138,
+        -863.7965056208798,
+        -868.4630700152225,
+        -873.2191916663407,
+        -877.844665459809,
+        -882.3361570362388,
+        -886.6464906384883,
+        -890.9275318465291,
+        -895.1262291169526,
+        -899.1907135350052,
+        -903.140470873439,
+        -906.9919651551837,
+        -910.7202668799531,
+        -914.375543327615,
+        -917.8956622204612,
+        -921.27338957825,
+        -924.6405103489765,
+        -927.7944206215341,
+        -930.8303073519307,
+        -933.8932155251272,
+        -936.8751259187479,
+        -939.5882809778299,
+        -942.2305664619455,
+        -944.8625182078815,
+        -947.2889246524064,
+        -949.7567175810648,
+        -952.0098200599746,
+        -954.124325482627,
+        -956.2392831663047,
+        -958.181157578476,
+        -960.0474604277647,
+        -961.8827969986178,
+        -963.5278443421516,
+        -965.0943909233121,
+        -966.5246697230998,
+        -967.9266110980291,
+        -969.1436185913313,
+        -970.319669878582,
+        -971.3443267355066,
+        -972.3024373580056,
+        -973.1765204167074,
+        -973.9009484889106,
+        -974.5769986273347,
+        -975.1219888862609,
+        -975.5715916331354,
+        -975.9050609601184,
+        -976.1520385192199,
+        -976.2966724107051,
+        -976.3382465477716,
+        -976.2791354915558,
+        -976.3207765738553,
+        -976.2612625144782,
+        -976.3025885858477,
+        -976.244783952772,
+        -976.2857934999994,
+        -976.2293826958539,
+        -976.270638844135,
+        -976.2123704527618,
+        -976.2542797281477,
+        -976.1923279037361,
+        -976.2333651324114,
+        -976.1764604508467,
+        -976.2177531970966,
+        -976.1590410231227,
+        -976.2001093145326,
+        -976.1424236019591,
+        -976.1832322179392,
+        -976.1265609366337,
+        -976.1672892134214,
+        -976.1105017777936,
+        -976.1511457734377,
+        -976.0942669008477,
+        -976.13542462647,
+        -976.0753589397116,
+        -976.1159255470411,
+        -976.0589467312021,
+        -976.0996859248094,
+        -976.0412983719407,
+        -976.0817389956101,
+        -976.0246001080433,
+        -976.0649787277893,
+        -976.0076415469825,
+        -976.0479567918551,
+        -975.9904479477119,
+        -976.0306545074018,
+        -975.9732196026915,
+        -976.013964003912,
+        -975.9532935390584,
+        -975.9939133889638,
+        -975.9339361622153,
+        -975.9751391403145,
+        -975.91215006632,
+        -975.9529540339637,
+        -975.8924560311907,
+        -975.9330936940302,
+        -975.873476040688,
+        -975.9143191228613
+    ]
+}
\ No newline at end of file
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/error_direction.png b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/error_direction.png
new file mode 100644
index 0000000000000000000000000000000000000000..4ff981304572dadb6f601825da074125b87ffff1
Binary files /dev/null and b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/error_direction.png differ
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/error_normal.png b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/error_normal.png
new file mode 100644
index 0000000000000000000000000000000000000000..25f1f5aa217588a0fb1472a3dbbc76873c77d969
Binary files /dev/null and b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/error_normal.png differ
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/error_position.png b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/error_position.png
new file mode 100644
index 0000000000000000000000000000000000000000..e600bc0bbee3ae5994805367bc3cf8be18ee86de
Binary files /dev/null and b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/error_position.png differ
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/normal.png b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/normal.png
new file mode 100644
index 0000000000000000000000000000000000000000..7cdef6693c3051965563bc2716f60f4331d946cd
Binary files /dev/null and b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/normal.png differ
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/position.png b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/position.png
new file mode 100644
index 0000000000000000000000000000000000000000..16386b29d399fe59dd65f85c27dd83b7b7f44358
Binary files /dev/null and b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/paths/position.png differ
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/pid_controller.py b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/pid_controller.py
new file mode 100644
index 0000000000000000000000000000000000000000..74483f308415ef31a1bf51c068dc8cd413b9b2f4
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/pid_controller.py
@@ -0,0 +1,18 @@
+import numpy as np
+
+
+class PidController:
+    def __init__(self, p_gain, i_gain, d_gain, set_point=0):
+        self.p_gain = p_gain
+        self.i_gain = i_gain
+        self.d_gain = d_gain
+        self.set_point = set_point
+        self.integrated_error = 0
+        self.previous_error = 0
+
+    def get_control(self, process_value):
+        error = self.set_point - process_value
+        control = self.p_gain * error + self.i_gain * self.integrated_error + self.d_gain * (error - self.previous_error)
+        self.previous_error = error
+        self.integrated_error += error
+        return np.sign(control) * abs(control)
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/run.py b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/run.py
new file mode 100644
index 0000000000000000000000000000000000000000..2381f540eca0ea4e3cbb6f1757d45700a6fdbdb7
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/run.py
@@ -0,0 +1,15 @@
+from input_providers import *
+from tqdm import tqdm
+from tabu_search import Search, PointSolution
+from simulator import Simulator
+from game import Game
+
+
+if __name__ == '__main__':
+    game = Game(1366, 768)
+    game.run_pid_controller('track_11.svg', 'test_solution.csv', 0.05)
+    #game.run()
+    #sim = Simulator('track6.svg')
+    #solution = pd.read_csv('solutionOpt.csv', index_col=0)
+    #print(sim.run(0.05, solution))
+
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/simulator.py b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/simulator.py
new file mode 100644
index 0000000000000000000000000000000000000000..aaa8782a32e2f6bbf537c02439101a3ef89f0dbb
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/simulator.py
@@ -0,0 +1,99 @@
+from track import *
+from car_model import Car
+from input_providers import *
+from pygame.math import Vector2
+
+
+class Simulator:
+    def __init__(self, track_path, timeout=30):
+        self.track = Track(track_path)
+        self.timeout = timeout
+
+    def run(self, dt, solution, car=None):
+        if car is None:
+            car = Car(1366 / 20, 768 / 20)
+
+        car.position.x, car.position.y = self.track.path[0][0] / 10 - 1366 / 20, self.track.path[0][1] / 10 - 768 / 20
+        self.track.apply_deformations(list(solution.Deformation))
+        input_provider = AutonomousDriver(solution)
+        time = 0
+        trace = [(car.position.x * 10 + 1366 / 2, car.position.y * 10 + 768 / 2) for _ in range(3)]
+
+        # Indicators
+
+        track_path_length = LineString(self.track.path).length / 10  # length of path loaded from solution
+        regulation_quality_indicator_square = 0  # integral of squared error values
+        regulation_quality_indicator_abs = 0  # integral of abs values
+        max_line_error = 0  # error in m
+        average_slip = 0  # average of abs lateral speed in m / s
+        slip_indicator = 0  # integral of squared speed in m / s^2
+        max_speed_long = 0  # m / s^2
+        max_speed_lat = 0  # m / s^2
+        average_speed_long = 0  # average speed longitudinal in m
+        average_rpm = 0
+        max_rpm = 0
+        number_of_iterations = 0  # helper variable for computing averages
+
+
+        while True:
+            time += dt
+            if time > self.timeout:
+                break
+
+            # User input
+            indexes = self.track.check_car_position(trace)
+            input_provider.index = indexes[-1]
+
+            car_input = input_provider.get_input()
+            car.get_driver_input(car_input[0], car_input[1], car_input[2], car_input[3])
+            car.update(dt)
+
+            vector = Vector2(40, 0).rotate(-car.angle)
+            vector = np.array((vector.x + 1366 / 2, vector.y + 768 / 2))
+            front_center = Point(np.array((car.position.x * 10, car.position.y * 10)) + vector)
+            if Polygon(self.track.path).contains(front_center):
+                input_provider.line_error = - LineString(self.track.path).distance(front_center)
+            else:
+                input_provider.line_error = LineString(self.track.path).distance(front_center)
+
+            # Update solution indicators
+
+            number_of_iterations += 1
+            average_rpm = average_rpm * (number_of_iterations - 1) / number_of_iterations + car.rpm / number_of_iterations
+            average_speed_long = average_speed_long * (number_of_iterations - 1) / number_of_iterations + car.velocity.x / number_of_iterations
+            average_slip = average_slip * (number_of_iterations - 1) / number_of_iterations + abs(car.velocity.y) / number_of_iterations
+
+            regulation_quality_indicator_square += (input_provider.line_error / 10) ** 2
+            regulation_quality_indicator_abs += abs(input_provider.line_error / 10)
+            if abs(input_provider.line_error) / 10 > max_line_error:
+                max_line_error = abs(input_provider.line_error) / 10
+            slip_indicator += car.velocity.y ** 2
+            if car.velocity.x > max_speed_long:
+                max_speed_long = car.velocity.x
+            if abs(car.velocity.y) > max_speed_lat:
+                max_speed_lat = abs(car.velocity.y)
+            if car.rpm > max_rpm:
+                max_rpm = car.rpm
+
+            trace.pop(2)
+            trace.insert(0, (car.position.x * 10 + 1366 / 2, car.position.y * 10 + 768 / 2))
+
+            if input_provider.index == len(self.track.track_chunks) - 1:
+                break
+
+        finished = True
+        for chunk in self.track.track_chunks:
+            if not chunk.is_active:
+                finished = False
+                break
+
+        for index in range(1, len(self.track.track_chunks)):
+            self.track.track_chunks[index].is_active = False
+        if finished and time < self.timeout:
+            return time, (track_path_length, average_rpm, average_speed_long, average_slip,
+                          regulation_quality_indicator_abs, regulation_quality_indicator_square,
+                          max_line_error, slip_indicator, max_speed_long, max_speed_lat, max_rpm)
+        else:
+            return 99999, (track_path_length, average_rpm, average_speed_long, average_slip,
+                          regulation_quality_indicator_abs, regulation_quality_indicator_square,
+                          max_line_error, slip_indicator, max_speed_long, max_speed_lat, max_rpm)
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/solution.csv b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/solution.csv
new file mode 100644
index 0000000000000000000000000000000000000000..1d5c21eaa7660469eb966d2cd103d371ea4eda27
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/solution.csv
@@ -0,0 +1,299 @@
+,P,I,D,Throttle,Gear,Brakes,Deformation
+0,0.5,0.005,10,1,1,0,0.5
+1,0.5,0.005,10,1,1,0,0.5
+2,0.5,0.005,10,1,1,0,0.5
+3,0.5,0.005,10,1,1,0,0.5
+4,0.5,0.005,10,1,1,0,0.5
+5,0.5,0.005,10,1,1,0,0.5
+6,0.5,0.005,10,1,1,0,0.5
+7,0.5,0.005,10,1,1,0,0.5
+8,0.5,0.005,10,1,1,0,0.5
+9,0.5,0.005,10,1,1,0,0.5
+10,0.5,0.005,10,1,1,0,0.5
+11,0.5,0.005,10,1,1,0,0.5
+12,0.5,0.005,10,1,1,0,0.5
+13,0.5,0.005,10,1,1,0,0.5
+14,0.5,0.005,10,1,1,0,0.5
+15,0.5,0.005,10,1,1,0,0.5
+16,0.5,0.005,10,1,1,0,0.5
+17,0.5,0.005,10,1,1,0,0.5
+18,0.5,0.005,10,1,1,0,0.5
+19,0.5,0.005,10,1,1,0,0.5
+20,0.5,0.005,10,1,1,0,0.5
+21,0.5,0.005,10,1,1,0,0.5
+22,0.5,0.005,10,1,1,0,0.5
+23,0.5,0.005,10,1,1,0,0.5
+24,0.5,0.005,10,1,1,0,0.5
+25,0.5,0.005,10,1,1,0,0.5
+26,0.5,0.005,10,1,1,0,0.5
+27,0.5,0.005,10,1,1,0,0.5
+28,0.5,0.005,10,1,1,0,0.5
+29,0.5,0.005,10,1,1,0,0.5
+30,0.5,0.005,10,1,1,0,0.5
+31,0.5,0.005,10,1,1,0,0.5
+32,0.5,0.005,10,1,1,0,0.5
+33,0.5,0.005,10,1,1,0,0.5
+34,0.5,0.005,10,1,1,0,0.7
+35,0.5,0.005,10,1,1,0,0.7
+36,0.5,0.005,10,1,1,0,0.7
+37,0.5,0.005,10,1,1,0,0.7
+38,0.5,0.005,10,1,1,0,0.7
+39,0.5,0.005,10,1,1,0,0.7
+40,0.5,0.005,10,1,1,0,0.7
+41,0.5,0.005,10,1,1,0,0.7
+42,0.5,0.005,10,1,1,0,0.7
+43,0.5,0.005,10,1,1,0,0.7
+44,0.5,0.005,10,1,1,0,0.7
+45,0.5,0.005,10,1,1,0,0.7
+46,0.5,0.005,10,1,1,0,0.5
+47,0.5,0.005,10,1,1,0,0.5
+48,0.5,0.005,10,1,1,0,0.5
+49,0.5,0.005,10,1,1,0,0.5
+50,0.5,0.005,10,1,1,0,0.5
+51,0.5,0.005,10,1,1,0,0.5
+52,0.5,0.005,10,1,1,0,0.5
+53,0.5,0.005,10,1,1,0,0.5
+54,0.5,0.005,10,1,1,0,0.5
+55,0.5,0.005,10,1,1,0,0.5
+56,0.5,0.005,10,1,1,0,0.5
+57,0.5,0.005,10,1,1,0,0.5
+58,0.5,0.005,10,1,1,0,0.5
+59,0.5,0.005,10,1,1,0,0.5
+60,0.5,0.005,10,1,1,0,0.5
+61,0.5,0.005,10,1,1,0,0.5
+62,0.5,0.005,10,1,1,0,0.5
+63,0.5,0.005,10,1,1,0,0.5
+64,0.5,0.005,10,1,1,0,0.5
+65,0.5,0.005,10,1,1,0,0.5
+66,0.5,0.005,10,1,1,0,0.5
+67,0.5,0.005,10,1,1,0,0.5
+68,0.5,0.005,10,1,1,0,0.5
+69,0.5,0.005,10,1,1,0,0.5
+70,0.5,0.005,10,1,1,0,0.5
+71,0.5,0.005,10,1,1,0,0.5
+72,0.5,0.005,10,1,1,0,0.5
+73,0.5,0.005,10,1,1,0,0.5
+74,0.5,0.005,10,1,1,0,0.5
+75,0.5,0.005,10,1,1,0,0.5
+76,0.5,0.005,10,1,1,0,0.5
+77,0.5,0.005,10,1,1,0,0.5
+78,0.5,0.005,10,1,1,0,0.5
+79,0.5,0.005,10,1,1,0,0.5
+80,0.5,0.005,10,1,1,0,0.5
+81,0.5,0.005,10,1,1,0,0.5
+82,0.5,0.005,10,1,1,0,0.5
+83,0.5,0.005,10,1,1,0,0.5
+84,0.5,0.005,10,1,1,0,0.5
+85,0.5,0.005,10,1,1,0,0.5
+86,0.5,0.005,10,1,1,0,0.5
+87,0.5,0.005,10,1,1,0,0.5
+88,0.5,0.005,10,1,1,0,0.5
+89,0.5,0.005,10,1,1,0,0.5
+90,0.5,0.005,10,1,1,0,0.5
+91,0.5,0.005,10,1,1,0,0.5
+92,0.5,0.005,10,1,1,0,0.5
+93,0.5,0.005,10,1,1,0,0.5
+94,0.5,0.005,10,1,1,0,0.5
+95,0.5,0.005,10,1,1,0,0.5
+96,0.5,0.005,10,1,1,0,0.5
+97,0.5,0.005,10,1,1,0,0.5
+98,0.5,0.005,10,1,1,0,0.5
+99,0.5,0.005,10,1,1,0,0.5
+100,0.5,0.005,10,1,1,0,0.5
+101,0.5,0.005,10,1,1,0,0.5
+102,0.5,0.005,10,1,1,0,0.5
+103,0.5,0.005,10,1,1,0,0.5
+104,0.5,0.005,10,1,1,0,0.5
+105,0.5,0.005,10,1,1,0,0.5
+106,0.5,0.005,10,1,1,0,0.5
+107,0.5,0.005,10,1,1,0,0.5
+108,0.5,0.005,10,1,1,0,0.5
+109,0.5,0.005,10,1,1,0,0.5
+110,0.5,0.005,10,1,1,0,0.5
+111,0.5,0.005,10,1,1,0,0.5
+112,0.5,0.005,10,1,1,0,0.5
+113,0.5,0.005,10,1,1,0,0.5
+114,0.5,0.005,10,1,1,0,0.5
+115,0.5,0.005,10,1,1,0,0.5
+116,0.5,0.005,10,1,1,0,0.5
+117,0.5,0.005,10,1,1,0,0.5
+118,0.5,0.005,10,1,1,0,0.5
+119,0.5,0.005,10,1,1,0,0.5
+120,0.5,0.005,10,1,1,0,0.5
+121,0.5,0.005,10,1,1,0,0.5
+122,0.5,0.005,10,1,1,0,0.5
+123,0.5,0.005,10,1,1,0,0.5
+124,0.5,0.005,10,1,1,0,0.5
+125,0.5,0.005,10,1,1,0,0.5
+126,0.5,0.005,10,1,1,0,0.5
+127,0.5,0.005,10,1,1,0,0.5
+128,0.5,0.005,10,1,1,0,0.5
+129,0.5,0.005,10,1,1,0,0.5
+130,0.5,0.005,10,1,1,0,0.5
+131,0.5,0.005,10,1,1,0,0.5
+132,0.5,0.005,10,1,1,0,0.5
+133,0.5,0.005,10,1,1,0,0.5
+134,0.5,0.005,10,1,1,0,0.5
+135,0.5,0.005,10,1,1,0,0.5
+136,0.5,0.005,10,1,1,0,0.5
+137,0.5,0.005,10,1,1,0,0.5
+138,0.5,0.005,10,1,1,0,0.5
+139,0.5,0.005,10,1,1,0,0.5
+140,0.5,0.005,10,1,1,0,0.5
+141,0.5,0.005,10,1,1,0,0.5
+142,0.5,0.005,10,1,1,0,0.5
+143,0.5,0.005,10,1,1,0,0.5
+144,0.5,0.005,10,1,1,0,0.5
+145,0.5,0.005,10,1,1,0,0.5
+146,0.5,0.005,10,1,1,0,0.5
+147,0.5,0.005,10,1,1,0,0.5
+148,0.5,0.005,10,1,1,0,0.5
+149,0.5,0.005,10,1,1,0,0.5
+150,0.5,0.005,10,1,1,0,0.5
+151,0.5,0.005,10,1,1,0,0.5
+152,0.5,0.005,10,1,1,0,0.5
+153,0.5,0.005,10,1,1,0,0.5
+154,0.5,0.005,10,1,1,0,0.5
+155,0.5,0.005,10,1,1,0,0.5
+156,0.5,0.005,10,1,1,0,0.5
+157,0.5,0.005,10,1,1,0,0.5
+158,0.5,0.005,10,1,1,0,0.5
+159,0.5,0.005,10,1,1,0,0.5
+160,0.5,0.005,10,1,1,0,0.5
+161,0.5,0.005,10,1,1,0,0.5
+162,0.5,0.005,10,1,1,0,0.5
+163,0.5,0.005,10,1,1,0,0.5
+164,0.5,0.005,10,1,1,0,0.5
+165,0.5,0.005,10,1,1,0,0.5
+166,0.5,0.005,10,1,1,0,0.5
+167,0.5,0.005,10,1,1,0,0.5
+168,0.5,0.005,10,1,1,0,0.5
+169,0.5,0.005,10,1,1,0,0.5
+170,0.5,0.005,10,1,1,0,0.5
+171,0.5,0.005,10,1,1,0,0.5
+172,0.5,0.005,10,1,1,0,0.5
+173,0.5,0.005,10,1,1,0,0.5
+174,0.5,0.005,10,1,1,0,0.5
+175,0.5,0.005,10,1,1,0,0.5
+176,0.5,0.005,10,1,1,0,0.5
+177,0.5,0.005,10,1,1,0,0.5
+178,0.5,0.005,10,1,1,0,0.5
+179,0.5,0.005,10,1,1,0,0.5
+180,0.5,0.005,10,1,1,0,0.5
+181,0.5,0.005,10,1,1,0,0.5
+182,0.5,0.005,10,1,1,0,0.5
+183,0.5,0.005,10,1,1,0,0.5
+184,0.5,0.005,10,1,1,0,0.5
+185,0.5,0.005,10,1,1,0,0.5
+186,0.5,0.005,10,1,1,0,0.5
+187,0.5,0.005,10,1,1,0,0.5
+188,0.5,0.005,10,1,1,0,0.5
+189,0.5,0.005,10,1,1,0,0.5
+190,0.5,0.005,10,1,1,0,0.5
+191,0.5,0.005,10,1,1,0,0.5
+192,0.5,0.005,10,1,1,0,0.5
+193,0.5,0.005,10,1,1,0,0.5
+194,0.5,0.005,10,1,1,0,0.5
+195,0.5,0.005,10,1,1,0,0.5
+196,0.5,0.005,10,1,1,0,0.5
+197,0.5,0.005,10,1,1,0,0.5
+198,0.5,0.005,10,1,1,0,0.5
+199,0.5,0.005,10,1,1,0,0.5
+200,0.5,0.005,10,1,1,0,0.5
+201,0.5,0.005,10,1,1,0,0.5
+202,0.5,0.005,10,1,1,0,0.5
+203,0.5,0.005,10,1,1,0,0.5
+204,0.5,0.005,10,1,1,0,0.5
+205,0.5,0.005,10,1,1,0,0.5
+206,0.5,0.005,10,1,1,0,0.5
+207,0.5,0.005,10,1,1,0,0.5
+208,0.5,0.005,10,1,1,0,0.5
+209,0.5,0.005,10,1,1,0,0.5
+210,0.5,0.005,10,1,1,0,0.5
+211,0.5,0.005,10,1,1,0,0.5
+212,0.5,0.005,10,1,1,0,0.5
+213,0.5,0.005,10,1,1,0,0.5
+214,0.5,0.005,10,1,1,0,0.5
+215,0.5,0.005,10,1,1,0,0.5
+216,0.5,0.005,10,1,1,0,0.5
+217,0.5,0.005,10,1,1,0,0.5
+218,0.5,0.005,10,1,1,0,0.5
+219,0.5,0.005,10,1,1,0,0.5
+220,0.5,0.005,10,1,1,0,0.5
+221,0.5,0.005,10,1,1,0,0.5
+222,0.5,0.005,10,1,1,0,0.5
+223,0.5,0.005,10,1,1,0,0.5
+224,0.5,0.005,10,1,1,0,0.5
+225,0.5,0.005,10,1,1,0,0.5
+226,0.5,0.005,10,1,1,0,0.5
+227,0.5,0.005,10,1,1,0,0.5
+228,0.5,0.005,10,1,1,0,0.5
+229,0.5,0.005,10,1,1,0,0.5
+230,0.5,0.005,10,1,1,0,0.5
+231,0.5,0.005,10,1,1,0,0.5
+232,0.5,0.005,10,1,1,0,0.5
+233,0.5,0.005,10,1,1,0,0.5
+234,0.5,0.005,10,1,1,0,0.5
+235,0.5,0.005,10,1,1,0,0.5
+236,0.5,0.005,10,1,1,0,0.5
+237,0.5,0.005,10,1,1,0,0.5
+238,0.5,0.005,10,1,1,0,0.5
+239,0.5,0.005,10,1,1,0,0.5
+240,0.5,0.005,10,1,1,0,0.5
+241,0.5,0.005,10,1,1,0,0.5
+242,0.5,0.005,10,1,1,0,0.5
+243,0.5,0.005,10,1,1,0,0.5
+244,0.5,0.005,10,1,1,0,0.5
+245,0.5,0.005,10,1,1,0,0.5
+246,0.5,0.005,10,1,1,0,0.5
+247,0.5,0.005,10,1,1,0,0.5
+248,0.5,0.005,10,1,1,0,0.5
+249,0.5,0.005,10,1,1,0,0.5
+250,0.5,0.005,10,1,1,0,0.5
+251,0.5,0.005,10,1,1,0,0.5
+252,0.5,0.005,10,1,1,0,0.5
+253,0.5,0.005,10,1,1,0,0.5
+254,0.5,0.005,10,1,1,0,0.5
+255,0.5,0.005,10,1,1,0,0.5
+256,0.5,0.005,10,1,1,0,0.5
+257,0.5,0.005,10,1,1,0,0.5
+258,0.5,0.005,10,1,1,0,0.5
+259,0.5,0.005,10,1,1,0,0.5
+260,0.5,0.005,10,1,1,0,0.5
+261,0.5,0.005,10,1,1,0,0.5
+262,0.5,0.005,10,1,1,0,0.5
+263,0.5,0.005,10,1,1,0,0.5
+264,0.5,0.005,10,1,1,0,0.5
+265,0.5,0.005,10,1,1,0,0.5
+266,0.5,0.005,10,1,1,0,0.5
+267,0.5,0.005,10,1,1,0,0.5
+268,0.5,0.005,10,1,1,0,0.5
+269,0.5,0.005,10,1,1,0,0.5
+270,0.5,0.005,10,1,1,0,0.5
+271,0.5,0.005,10,1,1,0,0.5
+272,0.5,0.005,10,1,1,0,0.5
+273,0.5,0.005,10,1,1,0,0.5
+274,0.5,0.005,10,1,1,0,0.5
+275,0.5,0.005,10,1,1,0,0.5
+276,0.5,0.005,10,1,1,0,0.5
+277,0.5,0.005,10,1,1,0,0.5
+278,0.5,0.005,10,1,1,0,0.5
+279,0.5,0.005,10,1,1,0,0.5
+280,0.5,0.005,10,1,1,0,0.5
+281,0.5,0.005,10,1,1,0,0.5
+282,0.5,0.005,10,1,1,0,0.5
+283,0.5,0.005,10,1,1,0,0.5
+284,0.5,0.005,10,1,1,0,0.5
+285,0.5,0.005,10,1,1,0,0.5
+286,0.5,0.005,10,1,1,0,0.5
+287,0.5,0.005,10,1,1,0,0.5
+288,0.5,0.005,10,1,1,0,0.5
+289,0.5,0.005,10,1,1,0,0.5
+290,0.5,0.005,10,1,1,0,0.5
+291,0.5,0.005,10,1,1,0,0.5
+292,0.5,0.005,10,1,1,0,0.5
+293,0.5,0.005,10,1,1,0,0.5
+294,0.5,0.005,10,1,1,0,0.5
+295,0.5,0.005,10,1,1,0,0.5
+296,0.5,0.005,10,1,1,0,0.5
+297,0.5,0.005,10,1,1,0,0.5
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/solution2.csv b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/solution2.csv
new file mode 100644
index 0000000000000000000000000000000000000000..388edc5d569e0d20dd68e746a35168a14875fd46
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/solution2.csv
@@ -0,0 +1,299 @@
+,P,I,D,Throttle,Gear,Brakes,Deformation
+0,0.5,0.005,10,1,1,0,0.5
+1,0.5,0.005,10,1,1,0,0.5
+2,0.5,0.005,10,1,1,0,0.5
+3,0.5,0.005,10,1,1,0,0.5
+4,0.5,0.005,10,1,1,0,0.5
+5,0.5,0.005,10,1,1,0,0.5
+6,0.5,0.005,10,1,1,0,0.5
+7,0.5,0.005,10,1,1,0,0.5
+8,0.5,0.005,10,1,1,0,0.5
+9,0.5,0.005,10,1,1,0,0.5
+10,0.5,0.005,10,2,1,0,0.5
+11,0.5,0.005,10,2,1,0,0.5
+12,0.5,0.005,10,21,1,0,0.5
+13,0.5,0.005,10,2,1,0,0.5
+14,0.5,0.005,10,2,1,0,0.5
+15,0.5,0.005,10,2,1,0,0.5
+16,0.5,0.005,10,2,1,0,0.5
+17,0.5,0.005,10,2,1,0,0.5
+18,0.5,0.005,10,2,1,0,0.5
+19,0.5,0.005,10,2,1,0,0.5
+20,0.5,0.005,10,2,1,0,0.5
+21,0.5,0.005,10,2,2,0,0.5
+22,0.5,0.005,10,2,2,0,0.5
+23,0.5,0.005,10,2,2,0,0.5
+24,0.5,0.005,10,2,2,0,0.5
+25,0.5,0.005,10,2,2,0,0.5
+26,0.5,0.005,10,2,2,0,0.5
+27,0.5,0.005,10,1,1,0,0.5
+28,0.5,0.005,10,1,1,0,0.5
+29,0.5,0.005,10,1,1,0,0.5
+30,0.5,0.005,10,1,1,0,0.5
+31,0.5,0.005,10,1,1,0,0.5
+32,0.5,0.005,10,1,1,0,0.5
+33,0.5,0.005,10,1,1,0,0.5
+34,0.5,0.005,10,1,1,0,0.7
+35,0.5,0.005,10,1,1,0,0.7
+36,0.5,0.005,10,1,1,0,0.7
+37,0.5,0.005,10,1,1,0,0.7
+38,0.5,0.005,10,1,1,0,0.7
+39,0.5,0.005,10,1,1,0,0.7
+40,0.5,0.005,10,1,1,0,0.7
+41,0.5,0.005,10,1,1,0,0.7
+42,0.5,0.005,10,1,1,0,0.7
+43,0.5,0.005,10,1,1,0,0.7
+44,0.5,0.005,10,1,1,0,0.7
+45,0.5,0.005,10,1,1,0,0.7
+46,0.5,0.005,10,1,1,0,0.5
+47,0.5,0.005,10,1,1,0,0.5
+48,0.5,0.005,10,1,1,0,0.5
+49,0.5,0.005,10,1,1,0,0.5
+50,0.5,0.005,10,1,1,0,0.5
+51,0.5,0.005,10,1,1,0,0.5
+52,0.5,0.005,10,1,1,0,0.5
+53,0.5,0.005,10,1,1,0,0.5
+54,0.5,0.005,10,1,1,0,0.5
+55,0.5,0.005,10,1,1,0,0.5
+56,0.5,0.005,10,1,1,0,0.5
+57,0.5,0.005,10,1,1,0,0.5
+58,0.5,0.005,10,1,1,0,0.5
+59,0.5,0.005,10,1,1,0,0.5
+60,0.5,0.005,10,1,1,0,0.5
+61,0.5,0.005,10,1,1,0,0.5
+62,0.5,0.005,10,1,1,0,0.5
+63,0.5,0.005,10,1,1,0,0.5
+64,0.5,0.005,10,1,1,0,0.5
+65,0.5,0.005,10,1,1,0,0.5
+66,0.5,0.005,10,1,1,0,0.5
+67,0.5,0.005,10,1,1,0,0.5
+68,0.5,0.005,10,1,1,0,0.5
+69,0.5,0.005,10,1,1,0,0.5
+70,0.5,0.005,10,1,1,0,0.5
+71,0.5,0.005,10,1,1,0,0.5
+72,0.5,0.005,10,1,1,0,0.5
+73,0.5,0.005,10,1,1,0,0.5
+74,0.5,0.005,10,1,1,0,0.5
+75,0.5,0.005,10,1,1,0,0.5
+76,0.5,0.005,10,1,1,0,0.5
+77,0.5,0.005,10,1,1,0,0.5
+78,0.5,0.005,10,1,1,0,0.5
+79,0.5,0.005,10,1,1,0,0.5
+80,0.5,0.005,10,1,1,0,0.5
+81,0.5,0.005,10,1,1,0,0.5
+82,0.5,0.005,10,1,1,0,0.5
+83,0.5,0.005,10,1,1,0,0.5
+84,0.5,0.005,10,1,1,0,0.5
+85,0.5,0.005,10,1,1,0,0.5
+86,0.5,0.005,10,1,1,0,0.5
+87,0.5,0.005,10,1,1,0,0.5
+88,0.5,0.005,10,1,1,0,0.5
+89,0.5,0.005,10,1,1,0,0.5
+90,0.5,0.005,10,1,1,0,0.5
+91,0.5,0.005,10,1,1,0,0.5
+92,0.5,0.005,10,1,1,0,0.5
+93,0.5,0.005,10,1,1,0,0.5
+94,0.5,0.005,10,1,1,0,0.5
+95,0.5,0.005,10,1,1,0,0.5
+96,0.5,0.005,10,1,1,0,0.5
+97,0.5,0.005,10,1,1,0,0.5
+98,0.5,0.005,10,1,1,0,0.5
+99,0.5,0.005,10,1,1,0,0.5
+100,0.5,0.005,10,1,1,0,0.5
+101,0.5,0.005,10,1,1,0,0.5
+102,0.5,0.005,10,1,1,0,0.5
+103,0.5,0.005,10,1,1,0,0.5
+104,0.5,0.005,10,1,1,0,0.5
+105,0.5,0.005,10,1,1,0,0.5
+106,0.5,0.005,10,1,1,0,0.5
+107,0.5,0.005,10,1,1,0,0.5
+108,0.5,0.005,10,1,1,0,0.5
+109,0.5,0.005,10,1,1,0,0.5
+110,0.5,0.005,10,1,1,0,0.5
+111,0.5,0.005,10,1,1,0,0.5
+112,0.5,0.005,10,1,1,0,0.5
+113,0.5,0.005,10,1,1,0,0.5
+114,0.5,0.005,10,1,1,0,0.5
+115,0.5,0.005,10,1,1,0,0.5
+116,0.5,0.005,10,1,1,0,0.5
+117,0.5,0.005,10,1,1,0,0.5
+118,0.5,0.005,10,1,1,0,0.5
+119,0.5,0.005,10,1,1,0,0.5
+120,0.5,0.005,10,1,1,0,0.5
+121,0.5,0.005,10,1,1,0,0.5
+122,0.5,0.005,10,1,1,0,0.5
+123,0.5,0.005,10,1,1,0,0.5
+124,0.5,0.005,10,1,1,0,0.5
+125,0.5,0.005,10,1,1,0,0.5
+126,0.5,0.005,10,1,1,0,0.5
+127,0.5,0.005,10,1,1,0,0.5
+128,0.5,0.005,10,1,1,0,0.5
+129,0.5,0.005,10,1,1,0,0.5
+130,0.5,0.005,10,1,1,0,0.5
+131,0.5,0.005,10,1,1,0,0.5
+132,0.5,0.005,10,1,1,0,0.5
+133,0.5,0.005,10,1,1,0,0.5
+134,0.5,0.005,10,1,1,0,0.5
+135,0.5,0.005,10,1,1,0,0.5
+136,0.5,0.005,10,1,1,0,0.5
+137,0.5,0.005,10,1,1,0,0.5
+138,0.5,0.005,10,1,1,0,0.5
+139,0.5,0.005,10,1,1,0,0.5
+140,0.5,0.005,10,1,1,0,0.5
+141,0.5,0.005,10,1,1,0,0.5
+142,0.5,0.005,10,1,1,0,0.5
+143,0.5,0.005,10,1,1,0,0.5
+144,0.5,0.005,10,1,1,0,0.5
+145,0.5,0.005,10,1,1,0,0.5
+146,0.5,0.005,10,1,1,0,0.5
+147,0.5,0.005,10,1,1,0,0.5
+148,0.5,0.005,10,1,1,0,0.5
+149,0.5,0.005,10,1,1,0,0.5
+150,0.5,0.005,10,1,1,0,0.5
+151,0.5,0.005,10,1,1,0,0.5
+152,0.5,0.005,10,1,1,0,0.5
+153,0.5,0.005,10,1,1,0,0.5
+154,0.5,0.005,10,1,1,0,0.5
+155,0.5,0.005,10,1,1,0,0.5
+156,0.5,0.005,10,1,1,0,0.5
+157,0.5,0.005,10,1,1,0,0.5
+158,0.5,0.005,10,1,1,0,0.5
+159,0.5,0.005,10,1,1,0,0.5
+160,0.5,0.005,10,1,1,0,0.5
+161,0.5,0.005,10,1,1,0,0.5
+162,0.5,0.005,10,1,1,0,0.5
+163,0.5,0.005,10,1,1,0,0.5
+164,0.5,0.005,10,1,1,0,0.5
+165,0.5,0.005,10,1,1,0,0.5
+166,0.5,0.005,10,1,1,0,0.5
+167,0.5,0.005,10,1,1,0,0.5
+168,0.5,0.005,10,1,1,0,0.5
+169,0.5,0.005,10,1,1,0,0.5
+170,0.5,0.005,10,1,1,0,0.5
+171,0.5,0.005,10,1,1,0,0.5
+172,0.5,0.005,10,1,1,0,0.5
+173,0.5,0.005,10,1,1,0,0.5
+174,0.5,0.005,10,1,1,0,0.5
+175,0.5,0.005,10,1,1,0,0.5
+176,0.5,0.005,10,1,1,0,0.5
+177,0.5,0.005,10,1,1,0,0.5
+178,0.5,0.005,10,1,1,0,0.5
+179,0.5,0.005,10,1,1,0,0.5
+180,0.5,0.005,10,1,1,0,0.5
+181,0.5,0.005,10,1,1,0,0.5
+182,0.5,0.005,10,1,1,0,0.5
+183,0.5,0.005,10,1,1,0,0.5
+184,0.5,0.005,10,1,1,0,0.5
+185,0.5,0.005,10,1,1,0,0.5
+186,0.5,0.005,10,1,1,0,0.5
+187,0.5,0.005,10,1,1,0,0.5
+188,0.5,0.005,10,1,1,0,0.5
+189,0.5,0.005,10,1,1,0,0.5
+190,0.5,0.005,10,1,1,0,0.5
+191,0.5,0.005,10,1,1,0,0.5
+192,0.5,0.005,10,1,1,0,0.5
+193,0.5,0.005,10,1,1,0,0.5
+194,0.5,0.005,10,1,1,0,0.5
+195,0.5,0.005,10,1,1,0,0.5
+196,0.5,0.005,10,1,1,0,0.5
+197,0.5,0.005,10,1,1,0,0.5
+198,0.5,0.005,10,1,1,0,0.5
+199,0.5,0.005,10,1,1,0,0.5
+200,0.5,0.005,10,1,1,0,0.5
+201,0.5,0.005,10,1,1,0,0.5
+202,0.5,0.005,10,1,1,0,0.5
+203,0.5,0.005,10,1,1,0,0.5
+204,0.5,0.005,10,1,1,0,0.5
+205,0.5,0.005,10,1,1,0,0.5
+206,0.5,0.005,10,1,1,0,0.5
+207,0.5,0.005,10,1,1,0,0.5
+208,0.5,0.005,10,1,1,0,0.5
+209,0.5,0.005,10,1,1,0,0.5
+210,0.5,0.005,10,1,1,0,0.5
+211,0.5,0.005,10,1,1,0,0.5
+212,0.5,0.005,10,1,1,0,0.5
+213,0.5,0.005,10,1,1,0,0.5
+214,0.5,0.005,10,1,1,0,0.5
+215,0.5,0.005,10,1,1,0,0.5
+216,0.5,0.005,10,1,1,0,0.5
+217,0.5,0.005,10,1,1,0,0.5
+218,0.5,0.005,10,1,1,0,0.5
+219,0.5,0.005,10,1,1,0,0.5
+220,0.5,0.005,10,1,1,0,0.5
+221,0.5,0.005,10,1,1,0,0.5
+222,0.5,0.005,10,1,1,0,0.5
+223,0.5,0.005,10,1,1,0,0.5
+224,0.5,0.005,10,1,1,0,0.5
+225,0.5,0.005,10,1,1,0,0.5
+226,0.5,0.005,10,1,1,0,0.5
+227,0.5,0.005,10,1,1,0,0.5
+228,0.5,0.005,10,1,1,0,0.5
+229,0.5,0.005,10,1,1,0,0.5
+230,0.5,0.005,10,1,1,0,0.5
+231,0.5,0.005,10,1,1,0,0.5
+232,0.5,0.005,10,1,1,0,0.5
+233,0.5,0.005,10,1,1,0,0.5
+234,0.5,0.005,10,1,1,0,0.5
+235,0.5,0.005,10,1,1,0,0.5
+236,0.5,0.005,10,1,1,0,0.5
+237,0.5,0.005,10,1,1,0,0.5
+238,0.5,0.005,10,1,1,0,0.5
+239,0.5,0.005,10,1,1,0,0.5
+240,0.5,0.005,10,1,1,0,0.5
+241,0.5,0.005,10,1,1,0,0.5
+242,0.5,0.005,10,1,1,0,0.5
+243,0.5,0.005,10,1,1,0,0.5
+244,0.5,0.005,10,1,1,0,0.5
+245,0.5,0.005,10,1,1,0,0.5
+246,0.5,0.005,10,1,1,0,0.5
+247,0.5,0.005,10,1,1,0,0.5
+248,0.5,0.005,10,1,1,0,0.5
+249,0.5,0.005,10,1,1,0,0.5
+250,0.5,0.005,10,1,1,0,0.5
+251,0.5,0.005,10,1,1,0,0.5
+252,0.5,0.005,10,1,1,0,0.5
+253,0.5,0.005,10,1,1,0,0.5
+254,0.5,0.005,10,1,1,0,0.5
+255,0.5,0.005,10,1,1,0,0.5
+256,0.5,0.005,10,1,1,0,0.5
+257,0.5,0.005,10,1,1,0,0.5
+258,0.5,0.005,10,1,1,0,0.5
+259,0.5,0.005,10,1,1,0,0.5
+260,0.5,0.005,10,1,1,0,0.5
+261,0.5,0.005,10,1,1,0,0.5
+262,0.5,0.005,10,1,1,0,0.5
+263,0.5,0.005,10,1,1,0,0.5
+264,0.5,0.005,10,1,1,0,0.5
+265,0.5,0.005,10,1,1,0,0.5
+266,0.5,0.005,10,1,1,0,0.5
+267,0.5,0.005,10,1,1,0,0.5
+268,0.5,0.005,10,1,1,0,0.5
+269,0.5,0.005,10,1,1,0,0.5
+270,0.5,0.005,10,1,1,0,0.5
+271,0.5,0.005,10,1,1,0,0.5
+272,0.5,0.005,10,1,1,0,0.5
+273,0.5,0.005,10,1,1,0,0.5
+274,0.5,0.005,10,1,1,0,0.5
+275,0.5,0.005,10,1,1,0,0.5
+276,0.5,0.005,10,1,1,0,0.5
+277,0.5,0.005,10,1,1,0,0.5
+278,0.5,0.005,10,1,1,0,0.5
+279,0.5,0.005,10,1,1,0,0.5
+280,0.5,0.005,10,1,1,0,0.5
+281,0.5,0.005,10,1,1,0,0.5
+282,0.5,0.005,10,1,1,0,0.5
+283,0.5,0.005,10,1,1,0,0.5
+284,0.5,0.005,10,1,1,0,0.5
+285,0.5,0.005,10,1,1,0,0.5
+286,0.5,0.005,10,1,1,0,0.5
+287,0.5,0.005,10,1,1,0,0.5
+288,0.5,0.005,10,1,1,0,0.5
+289,0.5,0.005,10,1,1,0,0.5
+290,0.5,0.005,10,1,1,0,0.5
+291,0.5,0.005,10,1,1,0,0.5
+292,0.5,0.005,10,1,1,0,0.5
+293,0.5,0.005,10,1,1,0,0.5
+294,0.5,0.005,10,1,1,0,0.5
+295,0.5,0.005,10,1,1,0,0.5
+296,0.5,0.005,10,1,1,0,0.5
+297,0.5,0.005,10,1,1,0,0.5
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/solution3.csv b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/solution3.csv
new file mode 100644
index 0000000000000000000000000000000000000000..1bf11f5f495662cb1ea1e6edcf1dd29820df0241
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/solution3.csv
@@ -0,0 +1,50 @@
+,P,I,D,Throttle,Gear,Brakes,Deformation
+0,0.5,0.005,10,0.5,1,0,0.5
+1,0.5,0.005,10,0.5,1,0,0.5
+2,0.5,0.005,10,0.5,1,0,0.5
+3,0.5,0.005,10,0.5,1,0,0.5
+4,0.5,0.005,10,0.5,1,0,0.5
+5,0.5,0.005,10,0.5,1,0,0.5
+6,0.5,0.005,10,0.5,1,0,0.5
+7,0.5,0.005,10,0.5,1,0,0.5
+8,0.5,0.005,10,0.5,1,0,0.5
+9,0.5,0.005,10,0.5,1,0,0.5
+10,0.5,0.005,10,0.5,1,0,0.5
+11,0.5,0.005,10,0.5,1,0,0.5
+12,0.5,0.005,10,0.5,1,0,0.5
+13,0.5,0.005,10,0.5,1,0,0.5
+14,0.5,0.005,10,0.5,1,0,0.5
+15,0.5,0.005,10,0.5,1,0,0.5
+16,0.5,0.005,10,0.5,1,0,0.5
+17,0.5,0.005,10,0.5,1,0,0.5
+18,0.5,0.005,10,0.5,1,0,0.5
+19,0.5,0.005,10,0.5,1,0,0.5
+20,0.5,0.005,10,0.5,1,0,0.5
+21,0.5,0.005,10,0.5,1,0,0.5
+22,0.5,0.005,10,0.5,1,0,0.5
+23,0.5,0.005,10,0.5,1,0,0.5
+24,0.5,0.005,10,0.5,1,0,0.5
+25,0.5,0.005,10,0.5,1,0,0.5
+26,0.5,0.005,10,0.5,1,0,0.5
+27,0.5,0.005,10,0.5,1,0,0.5
+28,0.5,0.005,10,0.5,1,0,0.5
+29,0.5,0.005,10,0.5,1,0,0.5
+30,0.5,0.005,10,0.5,1,0,0.5
+31,0.5,0.005,10,0.5,1,0,0.5
+32,0.5,0.005,10,0.5,1,0,0.5
+33,0.5,0.005,10,0.5,1,0,0.5
+34,0.5,0.005,10,0.5,1,0,0.5
+35,0.5,0.005,10,0.5,1,0,0.5
+36,0.5,0.005,10,0.5,1,0,0.5
+37,0.5,0.005,10,0.5,1,0,0.5
+38,0.5,0.005,10,0.5,1,0,0.5
+39,0.5,0.005,10,0.5,1,0,0.5
+40,0.5,0.005,10,0.5,1,0,0.5
+41,0.5,0.005,10,0.5,1,0,0.5
+42,0.5,0.005,10,0.5,1,0,0.5
+43,0.5,0.005,10,0.5,1,0,0.5
+44,0.5,0.005,10,0.5,1,0,0.5
+45,0.5,0.005,10,0.5,1,0,0.5
+46,0.5,0.005,10,0.5,1,0,0.5
+47,0.5,0.005,10,0.5,1,0,0.5
+48,0.5,0.005,10,0.5,1,0,0.5
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/solutionOpt.csv b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/solutionOpt.csv
new file mode 100644
index 0000000000000000000000000000000000000000..d0ca20665155c32fc4d72d6a59a7cdbc6e8a822a
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/solutionOpt.csv
@@ -0,0 +1,50 @@
+,P,I,D,Throttle,Gear,Brakes,Deformation
+0,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+1,0.5,0.005,10.0,1.0,1.0,0.0,0.5
+2,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+3,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+4,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+5,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+6,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+7,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+8,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+9,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+10,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+11,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+12,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+13,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+14,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+15,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+16,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+17,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+18,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+19,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+20,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+21,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+22,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+23,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+24,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+25,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+26,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+27,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+28,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+29,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+30,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+31,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+32,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+33,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+34,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+35,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+36,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+37,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+38,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+39,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+40,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+41,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+42,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+43,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+44,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+45,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+46,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+47,0.5,0.005,10.0,0.5,1.0,0.0,0.5
+48,0.5,0.005,10.0,0.5,1.0,0.0,0.5
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/tabu_search.py b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/tabu_search.py
new file mode 100644
index 0000000000000000000000000000000000000000..77cf2280c531a60556067970a73e9ed1f7caae56
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/tabu_search.py
@@ -0,0 +1,510 @@
+import numpy as np
+from operator import itemgetter
+import bisect
+import matplotlib.pyplot as plt
+from simulator import Simulator
+from input_providers import *
+from tqdm import tqdm
+from math import floor, e
+
+class Search:
+    def __init__(self, init_solution, track):
+        self.solution = init_solution # podajemy rozwiązanie początkowe
+
+        self.candidates_list = [] #lista sąsiedztwa z której wybieramy następne rozwiązanie
+        #postać: (rozwiązanie PointSolution, pozycja_w_rozwiązaniu, czas_przejazdu)
+        # postać gauss: (rozwiązanie PointSolution, pozycja_w_rozwiązaniu, czas_przejazdu, ktory element zostal zmieniony)
+        self.tabu_list = [] #lista zabronień
+        #postać: (rozwiązanie PointSolution, pozycja_w_rozwiązaniu, ilość_iteracji)
+
+        #wartosci kroku parametrów
+        self.dP = 0.5
+        self.dI = 0.5
+        self.dD = 1
+        self.dthrottle = 0.5
+        self.dgear = 1
+        self.dbrakes = 0.5
+        self.ddeformation = 0.15
+
+        #ograniczenia na parametry
+        self.maxP = 5
+        self.minP = 0
+
+        self.maxI = 5
+        self.minI = 0
+
+        self.maxD = 20
+        self.minD = 0
+
+        self.maxthrottle = 1
+        self.minthrottle = 0
+
+        self.maxbrakes = 1
+        self.minbrakes = 0
+
+        self.maxgear = 6
+        self.mingear = 0 #wsteczny nie potrzebny
+
+        self.maxdeformation = 1
+        self.mindeformation = 0
+
+        self.stop_num_of_iterations = 100 # warunek stopu liczba iteracji
+        self.stop_time_change = 3 # warunek stopu - poprawa czasu o _ sek
+        self.stop_best_time = -5 # warunek stopu - jesli czasu będzie poniżej wartości
+
+        # symulator do pobierania czasów przejazdu
+        self.sim = Simulator(track)
+
+        self.plot_simulation_indicators = []
+
+        self.first_time = self.simulate(self.solution, True) #czas dla rozwiązania początkowego
+        self.current_time = self.first_time #przechowywany aktualny czas (można zmienić na tablice żeby zapisywać jak sie zmienialy czasy)
+        self.best_time = self.first_time
+
+        self.num_of_iterations_tabu = 40 #ile iteracji ma zostac na liscie tabu
+
+        self.f0, self.ax0 = plt.subplots(1)
+        self.f1, self.ax1 = plt.subplots(1)
+        self.f2, self.ax2 = plt.subplots(1)
+        self.f3, self.ax3 = plt.subplots(1)
+
+        self.ax0.set_xlim(0, self.stop_num_of_iterations)
+        self.ax0.set_ylim(0, 10)
+        self.ax0.set_title("Current Time")
+        self.liTime, = self.ax0.plot([], [])
+
+        self.ax1.set_xlim(0, self.stop_num_of_iterations)
+        self.ax1.set_ylim(0, 10)
+        self.ax1.set_title("Candidates Times")
+        self.liCandiTime, = self.ax1.plot([], [])
+
+        self.ax2.set_xlim(0, self.stop_num_of_iterations)
+        self.ax2.set_ylim(0, 100)
+        self.ax2.set_title("Tabu size")
+        self.liTabuSize, = self.ax2.plot([], [])
+
+        self.ax3.set_xlim(0, self.stop_num_of_iterations)
+        self.ax3.set_ylim(0, 30)
+        self.ax3.set_title("Tabu usage")
+        self.liTabuUsage, = self.ax3.plot([], [])
+
+        self.plot_times = []
+        self.plot_tabu_used = []
+        self.plot_tabu_size = []
+        self.plot_candidates_times_min = []
+        self.plot_candidates_times_max = []
+        self.plot_candidates_times_mean = []
+
+        self.use_gaussian = False
+        self.use_changes = False
+        self.solutionSize = len(self.solution.values)
+
+        self.changes = [self.dP, self.dI, self.dD, self.dthrottle, self.dgear, self.dbrakes]
+        self.maxVals = [self.maxP, self.maxI, self.maxD, self.maxthrottle, self.maxgear, self.maxbrakes]
+        self.minVals = [self.minP, self.minI, self.minD, self.minthrottle, self.mingear, self.minbrakes]
+
+        self.aspiration_time = 0.2
+
+
+    def search(self):
+        # najpierw generujemy początkową listę sąsiedztwa
+        if(self.use_gaussian):
+            self.generate_candidates_gaussian()
+        elif self.use_changes:
+            self.generate_candidates_changes()
+        else:
+            self.generate_candidates()
+
+        # póżniej tylko aktualizujemy
+        iterations = 0
+        self.plot_times.append(self.current_time)
+        self.plot_tabu_size.append(len(self.tabu_list))
+        self.plot_candidates_times_min.append(self.candidates_list[0][2])
+        max = 0
+        for j in range(len(self.candidates_list) - 1, 0, -1):
+            if self.candidates_list[j][2] < 99999:
+                max = self.candidates_list[j][2]
+        self.plot_candidates_times_max.append(max)
+        self.plot_candidates_times_mean.append(np.median([x[2] for x in self.candidates_list]))
+        time_change = 0
+        while iterations < self.stop_num_of_iterations and time_change < self.stop_time_change and self.current_time > self.stop_best_time: #warunki stopu
+            self.iterate()
+            time_change = self.first_time - self.current_time
+            iterations += 1
+            if self.current_time < self.best_time:
+                self.best_time = self.current_time
+                self.solution.to_csv("solutionOpt.csv")
+
+            self.plot_times.append(self.current_time)
+            self.plot_tabu_size.append(len(self.tabu_list))
+            self.plot_candidates_times_min.append(self.candidates_list[0][2])
+            #self.plot_candidates_times_max.append(self.candidates_list[len(self.candidates_list) - 1][2])
+            max = 0
+            for j in range(len(self.candidates_list) - 1, 0, -1):
+                if self.candidates_list[j][2] < 99999:
+                    max = self.candidates_list[j][2]
+            self.plot_candidates_times_max.append(max)
+            self.plot_candidates_times_mean.append(np.median([x[2] for x in self.candidates_list]))
+
+
+            #self.liTime.set_xdata(np.arange(iterations))
+            #self.liTabuSize.set_xdata(np.arange(iterations))
+            #self.liTabuUsage.set_xdata(np.arange(iterations))
+
+            #self.liTime.set_ydata(self.plot_times)
+            #self.liTabuSize.set_ydata(self.plot_tabu_size)
+            #self.liTabuUsage.set_ydata(self.plot_tabu_used)
+
+            print(self.current_time)
+            print([x[2] for x in self.candidates_list])
+            #plt.pause(0.01)
+
+
+        self.liTime.set_xdata(np.arange(iterations+1))
+        self.liTabuSize.set_xdata(np.arange(iterations+1))
+        self.liTabuUsage.set_xdata(np.arange(iterations+1))
+
+        self.liTime.set_ydata(self.plot_times)
+        self.liTabuSize.set_ydata(self.plot_tabu_size)
+        self.liTabuUsage.set_ydata(self.plot_tabu_used)
+        self.ax1.plot(np.arange(iterations+1), self.plot_candidates_times_min, 'r', np.arange(iterations+1), self.plot_candidates_times_max, 'g', np.arange(iterations+1), self.plot_candidates_times_mean, 'b')
+        print(self.plot_candidates_times_min, self.plot_candidates_times_max, self.plot_candidates_times_mean)
+        #self.ax1.plot(np.arange(iterations+1), self.plot_candidates_times_max)
+        #self.ax1.plot(np.arange(iterations+1), self.plot_candidates_times_mean)
+        #plt.plot(np.arange(iterations+1), self.plot_candidates_times_min, np.arange(iterations+1), self.plot_candidates_times_max, np.arange(iterations+1), self.plot_candidates_times_mean)
+
+        self.f4, self.ax4 = plt.subplots(1)
+        self.ax4.set_xlim(0, self.stop_num_of_iterations)
+        self.ax4.set_ylim(0, 200)
+        self.ax4.set_title("Path length")
+        self.ax4.plot(np.arange(iterations+1), [x[0] for x in self.plot_simulation_indicators])
+
+        self.f5, self.ax5 = plt.subplots(1)
+        self.ax5.set_xlim(0, self.stop_num_of_iterations)
+        self.ax5.set_ylim(2000, 12000)
+        self.ax5.set_title("RPM")
+        self.ax5.plot(np.arange(iterations + 1), [x[1] for x in self.plot_simulation_indicators], np.arange(iterations + 1), [x[10] for x in self.plot_simulation_indicators])
+
+        self.f6, self.ax6 = plt.subplots(1)
+        self.ax6.set_xlim(0, self.stop_num_of_iterations)
+        self.ax6.set_ylim(0, 120)
+        self.ax6.set_title("Speed")
+        self.ax6.plot(np.arange(iterations + 1), [x[2] for x in self.plot_simulation_indicators], np.arange(iterations + 1), [x[8] for x in self.plot_simulation_indicators])
+
+        self.f7, self.ax7 = plt.subplots(1)
+        self.ax7.set_xlim(0, self.stop_num_of_iterations)
+        self.ax7.set_ylim(0, 10)
+        self.ax7.set_title("Side slip")
+        self.ax7.plot(np.arange(iterations + 1), [x[3] for x in self.plot_simulation_indicators], np.arange(iterations + 1), [x[9] for x in self.plot_simulation_indicators])
+
+        self.f8, self.ax8 = plt.subplots(1)
+        self.ax8.set_xlim(0, self.stop_num_of_iterations)
+        self.ax8.set_ylim(0, 300)
+        self.ax8.set_title("Regulator indicators")
+        self.ax8.plot(np.arange(iterations + 1), [x[4] for x in self.plot_simulation_indicators], np.arange(iterations + 1), [x[5] for x in self.plot_simulation_indicators])
+
+        self.f10, self.ax10 = plt.subplots(1)
+        self.ax10.set_xlim(0, self.stop_num_of_iterations)
+        self.ax10.set_ylim(0, 10)
+        self.ax10.set_title("Max Line Error")
+        self.ax10.plot(np.arange(iterations + 1), [x[6] for x in self.plot_simulation_indicators])
+
+        self.f9, self.ax9 = plt.subplots(1)
+        self.ax9.set_xlim(0, self.stop_num_of_iterations)
+        self.ax9.set_ylim(0, 1000)
+        self.ax9.set_title("Slip indicator")
+        self.ax9.plot(np.arange(iterations + 1), [x[7] for x in self.plot_simulation_indicators])
+        print(self.candidates_list)
+        plt.pause(6000)
+
+
+    def iterate(self):
+        on_tabu_list = True
+        i = 0
+
+        while on_tabu_list and i < len(self.candidates_list):
+            best_change = self.candidates_list[i]
+            on_tabu_list = self.check_tabu_list(best_change[0], best_change[1])
+            #kryterium aspiracji
+            if self.current_time - best_change[2] > self.aspiration_time and on_tabu_list:
+                on_tabu_list = False
+                print("Uzyte kryterium aspiracji. Poprawa czasu: ", self.current_time - best_change[2])
+            i += 1
+
+        self.plot_tabu_used.append(i-1)
+        self.add_to_tabu(PointSolution(self.solution.values[best_change[1]].copy()), best_change[1])
+
+
+        if(self.use_gaussian):
+            self.modify_gaussian(best_change[0].to_list(), best_change[1], best_change[3])
+            self.update_candidates_gaussian(best_change[1])
+        elif self.use_changes:
+            self.modify_changes(best_change[0].to_list(), best_change[1], best_change[3])
+            self.update_candidates_changes(best_change[1])
+        else:
+            self.solution.iloc[best_change[1]] = best_change[0].to_list()
+            self.update_candidates(best_change[1])
+        self.current_time = self.simulate(self.solution, True)
+        #self.current_time = best_change[2]
+        self.update_tabu()
+
+
+
+
+    def simulate(self, solution, save_indicators=False):
+        t, indicators = self.sim.run(0.05, solution)
+        if save_indicators:
+            self.plot_simulation_indicators.append(indicators)
+        return t
+
+    def generate_candidates(self):
+        for i in tqdm(range(0, len(self.solution.values)-1)):
+
+            #zmieniane po jednej wartosci - mniej przypadkow i zmiana 2 mozna rozbic na 2 zmiany po jednej zmiennej
+            #zmieniac nie tylko o dt - teraz strasznie wolno zmierza
+            init_value = self.solution.values[i].copy()
+            x = self.solution.values[i].copy()
+
+            parameters = x.copy()
+            changes = [self.dP, self.dI, self.dD, self.dthrottle, self.dgear, self.dbrakes, self.ddeformation]
+            maxVals = [self.maxP, self.maxI, self.maxD, self.maxthrottle, self.maxgear, self.maxbrakes, self.maxdeformation]
+            minVals = [self.minP, self.minI, self.minD, self.minthrottle, self.mingear, self.minbrakes, self.mindeformation]
+
+            for j in range(0, 7):
+                if parameters[j] + changes[j] <= maxVals[j]:
+                    parameters[j] += changes[j]
+                self.solution.iloc[i] = parameters.copy()
+                t = self.simulate(self.solution)
+                self.candidates_list.append([PointSolution(parameters), i, t])
+
+                parameters = x.copy()
+
+                if parameters[j] - changes[j] >= minVals[j]:
+                    parameters[j] -= changes[j]
+                self.solution.iloc[i] = parameters.copy()
+                t = self.simulate(self.solution)
+                self.candidates_list.append([PointSolution(parameters), i, t])
+
+                parameters = x.copy()
+
+            self.solution.iloc[i] = init_value.copy()
+
+        self.candidates_list.sort(key=itemgetter(2))
+
+
+
+    def update_candidates(self, i): #i - gdzie zmiana wystapila
+        init_value = self.solution.values[i].copy()
+        x = self.solution.values[i].copy()
+
+        parameters = x.copy()
+        changes = [self.dP, self.dI, self.dD, self.dthrottle, self.dgear, self.dbrakes, self.ddeformation]
+        maxVals = [self.maxP, self.maxI, self.maxD, self.maxthrottle, self.maxgear, self.maxbrakes, self.maxdeformation]
+        minVals = [self.minP, self.minI, self.minD, self.minthrottle, self.mingear, self.minbrakes, self.mindeformation]
+
+        #aktualizacja czasow - trzeba bo jak sie zmienia rozwiazanie to sie wszystko zmienia
+        for j in tqdm(range(len(self.candidates_list))):
+            index = self.candidates_list[j][1]
+            x = self.solution.values[index].copy()
+            self.solution.iloc[index] = self.candidates_list[j][0].to_list()
+            self.candidates_list[j][2] = self.simulate(self.solution)
+            self.solution.iloc[index] = x.copy()
+
+
+        for j in range(0, 7):
+            if parameters[j] + changes[j] <= maxVals[j]:
+                parameters[j] += changes[j]
+            self.solution.iloc[i] = parameters.copy()
+            t = self.simulate(self.solution)  # ZAMIENIC NA DOBRA SYMULACJE
+            self.candidates_list.append([PointSolution(parameters), i, t]) #DODAWANIE DO POSORTOWANEJ LISTY
+
+            parameters = x.copy()
+
+            if parameters[j] - changes[j] >= minVals[j]:
+                parameters[j] -= changes[j]
+            self.solution.iloc[i] = parameters.copy()
+            t = self.simulate(self.solution)
+            self.candidates_list.append([PointSolution(parameters), i, t])
+
+            parameters = x.copy()
+        self.solution.iloc[i] = init_value.copy()
+        self.candidates_list.sort(key=itemgetter(2))
+
+    def generate_candidates_gaussian(self):
+        for i in tqdm(range(0, len(self.solution.values)-1)):
+
+            #zmieniane po jednej wartosci - mniej przypadkow i zmiana 2 mozna rozbic na 2 zmiany po jednej zmiennej
+            #zmieniac nie tylko o dt - teraz strasznie wolno zmierza
+            parameters = [0, 0, 0, 0, 0, 0, 0]
+
+            for j in range(0, 5):
+                parameters[j] = self.changes[j]
+                self.modify_gaussian(parameters, i, j)
+                t = self.simulate(self.solution)
+                self.candidates_list.append([PointSolution(parameters), i, t, j])
+                self.modify_gaussian((-1)*parameters, i, j)
+
+                parameters[j] = -self.changes[j]
+                self.modify_gaussian(parameters, i, j)
+                t = self.simulate(self.solution)
+                self.candidates_list.append([PointSolution(parameters), i, t, j])
+                self.modify_gaussian((-1)*parameters, i, j)
+
+                parameters = [0, 0, 0, 0, 0, 0, 0]
+
+        self.candidates_list.sort(key=itemgetter(2))
+
+
+
+    def update_candidates_gaussian(self, i): #i - gdzie zmiana wystapila
+
+        #aktualizacja czasow - trzeba bo jak sie zmienia rozwiazanie to sie wszystko zmienia
+        for j in tqdm(range(len(self.candidates_list))):
+            index = self.candidates_list[j][1]
+            self.modify_gaussian(self.candidates_list[j][0].to_list(), index, self.candidates_list[j][3])
+            self.candidates_list[j][2] = self.simulate(self.solution)
+            self.modify_gaussian((-1)*self.candidates_list[j][0].to_list(), index, self.candidates_list[j][3])
+
+        self.candidates_list.sort(key=itemgetter(2))
+
+    def modify_gaussian(self, parameters, position, changePosition):
+        factors = generate_list_of_factors(7)
+        if len(parameters) == 0:
+            return
+        for i in range(-3, 3):
+            newPosition = i + position
+            if newPosition < 0 or newPosition >= self.solutionSize:
+                continue
+            newParameters = parameters.copy()
+            if(changePosition != 4):
+                newParameters[changePosition] *= factors[i+3]
+            solutionSum = self.solution.iloc[newPosition][changePosition] + newParameters[changePosition]
+            if solutionSum > self.maxVals[changePosition]:
+                self.solution.iloc[newPosition, changePosition] = self.maxVals[changePosition]
+            elif solutionSum < self.minVals[changePosition]:
+                self.solution.iloc[newPosition, changePosition] = self.minVals[changePosition]
+            else:
+                self.solution.iloc[newPosition, changePosition] = solutionSum
+
+    def generate_candidates_changes(self):
+        for i in tqdm(range(0, len(self.solution.values)-1)):
+
+            #zmieniane po jednej wartosci - mniej przypadkow i zmiana 2 mozna rozbic na 2 zmiany po jednej zmiennej
+            #zmieniac nie tylko o dt - teraz strasznie wolno zmierza
+            parameters = [0, 0, 0, 0, 0, 0, 0]
+
+            for j in range(0, 5):
+                parameters[j] = self.changes[j]
+                modified = self.modify_changes(parameters, i, j)
+                t = self.simulate(self.solution)
+                self.candidates_list.append([PointSolution(parameters), i, t, j])
+                if modified:
+                    self.modify_changes((-1)*parameters, i, j)
+
+                parameters[j] = -self.changes[j]
+                modified = self.modify_changes(parameters, i, j)
+                t = self.simulate(self.solution)
+                self.candidates_list.append([PointSolution(parameters), i, t, j])
+                if modified:
+                    self.modify_changes((-1)*parameters, i, j)
+
+                parameters = [0, 0, 0, 0, 0, 0, 0]
+
+        self.candidates_list.sort(key=itemgetter(2))
+
+
+
+    def update_candidates_changes(self, i): #i - gdzie zmiana wystapila
+
+        #aktualizacja czasow - trzeba bo jak sie zmienia rozwiazanie to sie wszystko zmienia
+        for j in tqdm(range(len(self.candidates_list))):
+            index = self.candidates_list[j][1]
+            modified = self.modify_changes(self.candidates_list[j][0].to_list(), index, self.candidates_list[j][3])
+            self.candidates_list[j][2] = self.simulate(self.solution)
+            if modified:
+                self.modify_changes((-1)*self.candidates_list[j][0].to_list(), index, self.candidates_list[j][3])
+
+        self.candidates_list.sort(key=itemgetter(2))
+
+    def modify_changes(self, parameters, position, changePosition):
+        if len(parameters) == 0:
+            return False
+        solutionSum = self.solution.iloc[position][changePosition] + parameters[changePosition]
+        if solutionSum < self.maxVals[changePosition] and solutionSum > self.minVals[changePosition]:
+            self.solution.iloc[position, changePosition] = solutionSum
+            return True
+        else:
+            return False
+
+
+    def update_tabu(self):
+        for i in range(0, len(self.tabu_list)-2): #dla -1 czasem przekracza - jedno rozwiązanie puste jest
+            self.tabu_list[i][2] += 1
+            if self.tabu_list[i][2] > self.num_of_iterations_tabu:
+                del(self.tabu_list[i])
+
+
+
+    def add_to_tabu(self, value, position):
+        self.tabu_list.append([value, position, 1])
+
+    def check_tabu_list(self, value, position):
+        for x in self.tabu_list:
+            if x[1] == position:
+                if x[0] == value:
+                    return True
+        return False
+
+
+
+
+class PointSolution:
+    def __init__(self, list):
+        self.P = list[0]
+        self.I = list[1]
+        self.D = list[2]
+        self.throttle = list[3] #gaz
+        self.gear = list[4] #bieg
+        self.brakes = list[5] #hamulec
+        self.deformation = list[6] #deformacja
+
+    def __eq__(self, solution):
+        if self.P != solution.P:
+            return False
+        if self.I != solution.I:
+            return False
+        if self.D != solution.D:
+            return False
+        if self.throttle != solution.throttle:
+            return False
+        if self.gear != solution.gear:
+            return False
+        if self.brakes != solution.brakes:
+            return False
+        if self.deformation != solution.deformation:
+            return False
+        return True
+
+    def __str__(self):
+        return str(self.to_list())
+
+    def to_list(self):
+        return [self.P, self.I, self.D, self.throttle, self.gear, self.brakes, self.deformation]
+
+
+def generate_list_of_factors(size):
+    deviation = (size - 1) / 4
+    list_of_factors = []
+    for index in range(size):
+        list_of_factors.append(e**(- (index - floor(size / 2)) ** 2 / (2 * deviation ** 2)))
+    return list_of_factors
+
+
+if __name__ == '__main__':
+    #plt.plot(list(range(21)), generate_list_of_factors(21))
+    #plt.show()
+    #solution1 = [PointSolution([1,0,0,0.3,0,0,0.5]) for i in range(100)]
+    solution1 = pd.read_csv('solution3.csv', index_col=0)
+    tabu1 = Search(solution1, 'track6.svg')
+    tabu1.search()
+    #plt.pause(5)
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/test_solution.csv b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/test_solution.csv
new file mode 100644
index 0000000000000000000000000000000000000000..f44301fd912007bb21f92ccd33b55d26e774ebf6
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/test_solution.csv
@@ -0,0 +1,4 @@
+,P,I,D,Throttle,Gear,Brakes,Deformation
+0,1.0,0.010,5,0.5,1,0,0.5
+1,10.0,0.005,5,0.035,1,0,0.5
+2,1.0,0.010,5,0,1,0.15,0.5
\ No newline at end of file
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track.py b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track.py
new file mode 100644
index 0000000000000000000000000000000000000000..4ad8d9283d67af3ce6734ae018f219bd78b66af3
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track.py
@@ -0,0 +1,260 @@
+import xml.etree.ElementTree as ET
+import pygame
+import numpy as np
+from math import sqrt, sin, cos, e, floor
+import matplotlib.pyplot as plt
+from shapely.geometry import Polygon, Point, LineString
+import copy
+
+
+CIRCLE_TAG_NAME = '{http://www.w3.org/2000/svg}circle'
+
+
+def generate_list_of_factors(size, deviation):
+    list_of_factors = []
+    for index in range(size):
+        list_of_factors.append(e**(- (index - floor(size / 2)) ** 2 / (2 * deviation ** 2)))
+    return list_of_factors
+
+
+class TrackChunk:
+    def __init__(self, point_1=(0, 0), point_2=(0, 0), point_3=(0, 0), point_4=(0, 0)):
+        self.polygon = Polygon([point_1, point_2, point_3, point_4])
+        self.is_active = False
+
+
+class Track:
+    def __init__(self, track_file_path='track3.svg', resize_factor=2.5, width=65):
+        tree = self.read_svg_file(track_file_path)
+        self.width = width
+
+        self.track_points = [(resize_factor * x, -resize_factor * y) for x, y in self.get_all_points(tree)]
+        self.track_polygon = Polygon(self.track_points)
+        self.visible_path = []
+        self.full_path = []
+        
+        self.inner_edge = []
+        self.outer_edge = []
+
+        self.end_first_line = 3
+        self.mid = 39
+        self.up_right = (self.mid-self.end_first_line)//4+self.end_first_line
+        self.down_right = 3*(self.mid-self.end_first_line)//4+self.end_first_line
+        self.start_last_line = len(self.track_points)-3
+        self.up_left = (self.start_last_line-self.mid)//4+self.mid
+        self.down_left = 3*(self.start_last_line-self.mid)//4+self.mid
+        
+        self.miny = -410
+        self.maxy = -930
+        self.minx = 1420
+        self.maxx = 1920
+        
+        self.line_width = 100
+        
+        self.lap_nb=0
+        self.total_lap = 2
+        self.is_right = True
+        self.is_starting = True
+        self.is_ending = False
+        self.mid_track = 1730
+        self.track_phase = "Beginning"#Beginning, LR, Right, RL, Left
+        self.x1, self.x2, self.y1, self.y2 =1850,1580, -600, -580
+        self.current = "0"
+        #self.right = {"xl":1740, "xr":1840, "yu":-650, "yd":-550}
+        #self.left = {"xl":1650,"xr":1720,"yu":-650,"yd":-550}
+        #self.entered_right_cp = False
+        #self.entered_left_cp = False
+        
+        self.car_pos = [0,0]
+
+        for index in range(len(self.track_points) - 1):
+            a1 = self.track_points[index + 1][1] - self.track_points[index][1]
+            b1 = self.track_points[index + 1][0] - self.track_points[index][0]
+            if abs(b1) == 0:
+                vector = np.array((self.width, 0))
+                #continue
+            elif abs(a1) == 0:
+                vector = np.array((0, self.width))
+                continue
+            else:
+                a = b1 / a1
+                x = self.width / sqrt(1 + a ** 2)
+                vector = np.array((x, - a * x))
+            if self.track_polygon.contains(Point(self.track_points[index] + vector)):
+                self.inner_edge.append(self.track_points[index] + vector + [1366/2, 768/2])
+                self.outer_edge.append(self.track_points[index] - vector + [1366/2, 768/2])
+            else:
+                self.inner_edge.append(self.track_points[index] - vector + [1366/2, 768/2])
+                self.outer_edge.append(self.track_points[index] + vector + [1366/2, 768/2])
+
+            self.full_path.append((np.array(self.inner_edge[- 1]) + np.array(self.outer_edge[- 1])) / 2)
+
+        a1 = self.track_points[0][1] - self.track_points[-1][1]
+        b1 = self.track_points[0][0] - self.track_points[-1][0]
+
+        if abs(b1) == 0:
+            vector = np.array((self.width, 0))
+        elif abs(a1) == 0:
+            vector = np.array((0, self.width))
+        else:
+            a = b1 / a1
+            x = self.width / sqrt(1 + a ** 2)
+            vector = np.array((x, - a * x))
+        if self.track_polygon.contains(Point(self.track_points[-1] + vector)):
+            self.inner_edge.append(self.track_points[-1] + vector + [1366/2, 768/2])
+            self.outer_edge.append(self.track_points[-1] - vector + [1366/2, 768/2])
+        else:
+            self.inner_edge.append(self.track_points[-1] - vector + [1366/2, 768/2])
+            self.outer_edge.append(self.track_points[-1] + vector + [1366/2, 768/2])
+
+        self.full_path.append((np.array(self.inner_edge[- 1]) + np.array(self.outer_edge[- 1])) / 2)
+        self.path_deformations = [0.5 for _ in range(len(self.full_path))]
+        self.track_chunks = []
+        for index in range(len(self.outer_edge) - 1, -1, -1):
+                self.track_chunks.append(TrackChunk(self.inner_edge[index - 1], self.outer_edge[index - 1],
+                                                    self.outer_edge[index], self.inner_edge[index]))
+        self.track_chunks = list(reversed(self.track_chunks))
+        self.track_chunks[0].is_active = True
+        self.visible_path = self.full_path[0:self.end_first_line]
+
+
+    def apply_deformations(self, deformations):
+        #if len(deformations) != len(self.path_deformations):
+        #    print("Wrong solution vector length.", len(deformations), " ", len(self.path_deformations))
+        #    return
+        self.path_deformations = [deformations[0] for i in range(len(self.path_deformations))]
+        for j in range(len(self.full_path)):
+            self.full_path[j] = self.path_deformations[j] * self.outer_edge[j] + (1 - self.path_deformations[j]) * self.inner_edge[j]
+
+    def modify_path(self, index, deformation, number_of_neighbours, deviation):
+        if index + number_of_neighbours / 2 > len(self.full_path) - 1:
+            index = index - len(self.full_path) - 1
+        factors = generate_list_of_factors(number_of_neighbours, deviation)
+        for i, factor in enumerate(factors):
+            self.path_deformations[index + i - floor(len(factors) / 2)] += factor * deformation / 20
+            if self.path_deformations[index + i - floor(len(factors) / 2)] > 0.9:
+                self.path_deformations[index + i - floor(len(factors) / 2)] = 0.9
+            if self.path_deformations[index + i - floor(len(factors) / 2)] < 0.1:
+                self.path_deformations[index + i - floor(len(factors) / 2)] = 0.1
+
+        for j in range(len(self.full_path)):
+            self.full_path[j] = self.path_deformations[j] * self.outer_edge[j] + (1 - self.path_deformations[j]) * self.inner_edge[j]
+
+    def update_visible_path(self, pos):
+        #print(pos)
+        if self.current=="0":
+            self.visible_path = self.full_path[:self.end_first_line]
+            if pos[1]<self.y1:
+                self.current="1"
+                self.track_phase = "Loop"
+                self.is_starting=False
+        elif self.current=="1":
+            self.visible_path = self.full_path[self.down_left:self.start_last_line]+self.full_path[self.end_first_line:self.up_right+2]+[np.array([self.maxx, self.miny,]), np.array([self.minx,self.miny])]
+            if pos[0]>self.x1:
+                self.current="2"
+        elif self.current=="2":
+            self.visible_path = self.full_path[self.up_right:self.down_right+10]
+            if pos[0]<self.x1:
+                self.current="3"
+        elif self.current=="3":
+            self.visible_path = self.full_path[self.down_right:self.up_left+10]+[np.array([self.minx, self.maxy,]), np.array([self.maxx,self.maxy])]
+            if pos[0]<self.x2:
+                self.current="4"
+            #if pos[1]<self.mid_track:
+                #self.is_right = False
+        elif self.current=="4":
+            self.visible_path = self.full_path[self.up_left:self.down_left+10]
+            self.is_right = False
+            if pos[0]>self.x2:
+                self.current="5"
+                self.is_right = True
+        elif self.current=="5":
+            self.visible_path = self.full_path[self.down_left:self.start_last_line]+self.full_path[self.end_first_line:self.up_right]+[np.array([self.maxx, self.miny,]), np.array([self.minx,self.miny])]
+            if pos[1]<self.y2:
+                self.lap_nb+=1
+                if self.lap_nb>=self.total_lap:
+                    self.current = "6"
+                    self.is_ending = True
+                    self.track_phase = "End"
+                else:
+                    self.current="1"
+        elif self.current=="6":
+            self.visible_path = self.full_path[self.down_left:]
+        self.is_ending = self.lap_nb>=self.total_lap
+        self.max_y = max([i[1] for i in self.full_path])
+    
+    @staticmethod
+    def circle_to_point(circle):
+        const = 6
+        return float(circle.attrib['cx']) * const, float(circle.attrib['cy']) * const
+
+    @staticmethod
+    def read_svg_file(svg_path):
+        return ET.parse(svg_path)
+
+    def get_all_points(self, tree):
+        circles = []
+        for circle in tree.iter(CIRCLE_TAG_NAME):
+                circles.append(self.circle_to_point(circle))
+        return circles
+
+    def check_car_position(self, trace):
+        indexes = []
+        trace_linestring = LineString(trace)
+        pos = np.mean(trace_linestring.xy[0]), np.mean(trace_linestring.xy[1])
+        self.update_visible_path(pos)
+        self.car_pos = pos
+        for chunk in self.track_chunks:
+            if not chunk.is_active:
+                if chunk.polygon.intersects(trace_linestring):
+                    chunk.is_active = True
+            if chunk.is_active:
+                indexes.append(self.track_chunks.index(chunk))
+
+        return indexes
+
+
+class TrackDrawer:
+    def __init__(self, track):
+        self.track = track
+        self.path_for_drawing = copy.copy(self.track.visible_path)
+        self.inner_edge_for_drawing = copy.copy(self.track.inner_edge)
+        self.outer_edge_for_drawing = copy.copy(self.track.outer_edge)
+        self.chunk_indexes = [0]
+
+    def draw(self, screen, car_position, trace):
+        self.path_for_drawing = copy.copy(self.track.visible_path)
+        for ind, point in enumerate(self.track.visible_path):
+            self.path_for_drawing[ind] = np.array(point) - np.array([car_position.x, car_position.y])
+        for ind, point in enumerate(self.track.inner_edge):
+            self.inner_edge_for_drawing[ind] = np.array(point) - np.array([car_position.x, car_position.y])
+        for ind, point in enumerate(self.track.outer_edge):
+            self.outer_edge_for_drawing[ind] = np.array(point) - np.array([car_position.x, car_position.y])
+
+        self.chunk_indexes = self.track.check_car_position(trace)
+        chunk_xy = {}
+        for index in self.chunk_indexes:
+            chunk_xy[index] = self.track.track_chunks[index].polygon.exterior.xy
+            chunk_xy[index] = [np.array((x, y)) for x, y in zip(chunk_xy[index][0], chunk_xy[index][1])]
+            for ind, point in enumerate(chunk_xy[index]):
+                chunk_xy[index][ind] = point - np.array([car_position.x, car_position.y])
+            #pygame.draw.polygon(screen, (7, 215, 247), chunk_xy[index])
+
+        pygame.draw.lines(screen, (0, 0, 255), False, [(x - car_position.x, y - car_position.y) for x, y in trace], 2)
+        pygame.draw.polygon(screen, (0, 255, 0), self.path_for_drawing, 2)
+        #pygame.draw.rect(screen, (255,0,0), pygame.Rect(self.track.right["xl"],
+        #                                                self.track.right["yu"],
+        #                                                abs(self.track.right["xl"]-self.track.right["xr"]),
+        #                                                abs(self.track.right["yu"]-self.track.right["yd"])),1)
+        #pygame.draw.polygon(screen, (255, 153, 51), self.inner_edge_for_drawing, 10)
+        #pygame.draw.polygon(screen, (255, 153, 51), self.outer_edge_for_drawing, 10)
+
+class Background(pygame.sprite.Sprite):
+    def __init__(self, image_file, location):
+        pygame.sprite.Sprite.__init__(self)  #call Sprite initializer
+        self.image = pygame.image.load(image_file)
+        self.rect = self.image.get_rect()
+        self.rect.left, self.rect.top = location
+
+    def set_location(self, location):
+        self.rect.left, self.rect.top = location
\ No newline at end of file
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track2.svg b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track2.svg
new file mode 100644
index 0000000000000000000000000000000000000000..5c56149b13b5cfa1fdc4ba9d07c7257772102165
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track2.svg
@@ -0,0 +1,902 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   xmlns:dc="http://purl.org/dc/elements/1.1/"
+   xmlns:cc="http://creativecommons.org/ns#"
+   xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
+   xmlns:svg="http://www.w3.org/2000/svg"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   width="210mm"
+   height="297mm"
+   viewBox="0 0 210 297"
+   version="1.1"
+   id="svg8"
+   inkscape:version="0.92.3 (d244b95, 2018-08-02)"
+   sodipodi:docname="track2.svg">
+  <defs
+     id="defs2" />
+  <sodipodi:namedview
+     id="base"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1.0"
+     inkscape:pageopacity="0.0"
+     inkscape:pageshadow="2"
+     inkscape:zoom="0.98994949"
+     inkscape:cx="588.53732"
+     inkscape:cy="187.666"
+     inkscape:document-units="mm"
+     inkscape:current-layer="layer1"
+     showgrid="false"
+     inkscape:window-width="1366"
+     inkscape:window-height="709"
+     inkscape:window-x="0"
+     inkscape:window-y="24"
+     inkscape:window-maximized="1" />
+  <metadata
+     id="metadata5">
+    <rdf:RDF>
+      <cc:Work
+         rdf:about="">
+        <dc:format>image/svg+xml</dc:format>
+        <dc:type
+           rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
+        <dc:title></dc:title>
+      </cc:Work>
+    </rdf:RDF>
+  </metadata>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1">
+    <circle
+       id="path10"
+       style="fill:#000000;stroke:none"
+       cx="165.43983"
+       cy="245.68425"
+       r="1.5" />
+    <circle
+       id="path12"
+       style="fill:#000000;stroke:none"
+       cx="165.43983"
+       cy="233.65712"
+       r="1.5" />
+    <circle
+       id="path14"
+       style="fill:#000000;stroke:none"
+       cx="165.43983"
+       cy="223.23361"
+       r="1.5" />
+    <circle
+       id="path16"
+       style="fill:#000000;stroke:none"
+       cx="165.70711"
+       cy="211.47375"
+       r="1.5" />
+    <circle
+       id="path18"
+       style="fill:#000000;stroke:none"
+       cx="165.70711"
+       cy="201.85205"
+       r="1.5" />
+    <circle
+       id="path20"
+       style="fill:#000000;stroke:none"
+       cx="165.70711"
+       cy="191.16127"
+       r="1.5" />
+    <circle
+       id="path22"
+       style="fill:#000000;stroke:none"
+       cx="165.70711"
+       cy="182.60864"
+       r="1.5" />
+    <circle
+       id="path24"
+       style="fill:#000000;stroke:none"
+       cx="164.37076"
+       cy="171.91786"
+       r="1.5" />
+    <circle
+       id="path26"
+       style="fill:#000000;stroke:none"
+       cx="161.16353"
+       cy="164.70158"
+       r="1.5" />
+    <circle
+       id="path28"
+       style="fill:#000000;stroke:none"
+       cx="154.21452"
+       cy="159.62346"
+       r="1.5" />
+    <circle
+       id="path30"
+       style="fill:#000000;stroke:none"
+       cx="146.99825"
+       cy="155.61443"
+       r="1.5" />
+    <circle
+       id="path32"
+       style="fill:#000000;stroke:none"
+       cx="137.64381"
+       cy="148.66541"
+       r="1.5" />
+    <circle
+       id="path34"
+       style="fill:#000000;stroke:none"
+       cx="133.36749"
+       cy="139.31097"
+       r="1.5" />
+    <circle
+       id="path36"
+       style="fill:#000000;stroke:none"
+       cx="131.49661"
+       cy="128.08566"
+       r="1.5" />
+    <circle
+       id="path38"
+       style="fill:#000000;stroke:none"
+       cx="131.22934"
+       cy="118.19669"
+       r="1.5" />
+    <circle
+       id="path40"
+       style="fill:#000000;stroke:none"
+       cx="131.22934"
+       cy="107.5059"
+       r="1.5" />
+    <circle
+       id="path42"
+       style="fill:#000000;stroke:none"
+       cx="131.76389"
+       cy="98.686012"
+       r="1.5" />
+    <circle
+       id="path44"
+       style="fill:#000000;stroke:none"
+       cx="130.16026"
+       cy="87.727959"
+       r="1.5" />
+    <circle
+       id="path46"
+       style="fill:#000000;stroke:none"
+       cx="123.21125"
+       cy="80.778954"
+       r="1.5" />
+    <circle
+       id="path48"
+       style="fill:#000000;stroke:none"
+       cx="110.38231"
+       cy="79.709877"
+       r="1.5" />
+    <circle
+       id="path50"
+       style="fill:#000000;stroke:none"
+       cx="102.09696"
+       cy="82.115303"
+       r="1.5" />
+    <circle
+       id="path52"
+       style="fill:#000000;stroke:none"
+       cx="98.622459"
+       cy="90.133385"
+       r="1.5" />
+    <circle
+       id="path54"
+       style="fill:#000000;stroke:none"
+       cx="95.147949"
+       cy="97.884201"
+       r="1.5" />
+    <circle
+       id="path56"
+       style="fill:#000000;stroke:none"
+       cx="86.862595"
+       cy="101.62598"
+       r="1.5" />
+    <circle
+       id="path58"
+       style="fill:#000000;stroke:none"
+       cx="76.973625"
+       cy="103.49686"
+       r="1.5" />
+    <circle
+       id="path60"
+       style="fill:#000000;stroke:none"
+       cx="66.282845"
+       cy="103.76413"
+       r="1.5" />
+    <circle
+       id="path62"
+       style="fill:#000000;stroke:none"
+       cx="55.859329"
+       cy="104.56594"
+       r="1.5" />
+    <circle
+       id="path64"
+       style="fill:#000000;stroke:none"
+       cx="47.841244"
+       cy="103.49686"
+       r="1.5" />
+    <circle
+       id="path66"
+       style="fill:#000000;stroke:none"
+       cx="39.555889"
+       cy="107.77317"
+       r="1.5" />
+    <circle
+       id="path68"
+       style="fill:#000000;stroke:none"
+       cx="33.408691"
+       cy="115.25672"
+       r="1.5" />
+    <circle
+       id="path70"
+       style="fill:#000000;stroke:none"
+       cx="32.874153"
+       cy="124.61115"
+       r="1.5" />
+    <circle
+       id="path72"
+       style="fill:#000000;stroke:none"
+       cx="35.279579"
+       cy="135.03467"
+       r="1.5" />
+    <circle
+       id="path74"
+       style="fill:#000000;stroke:none"
+       cx="39.28862"
+       cy="143.05275"
+       r="1.5" />
+    <circle
+       id="path76"
+       style="fill:#000000;stroke:none"
+       cx="43.030396"
+       cy="151.3381"
+       r="1.5" />
+    <circle
+       id="path78"
+       style="fill:#000000;stroke:none"
+       cx="46.237629"
+       cy="159.62346"
+       r="1.5" />
+    <circle
+       id="path80"
+       style="fill:#000000;stroke:none"
+       cx="48.910324"
+       cy="168.17609"
+       r="1.5" />
+    <circle
+       id="path82"
+       style="fill:#000000;stroke:none"
+       cx="49.979401"
+       cy="176.99599"
+       r="1.5" />
+    <circle
+       id="path84"
+       style="fill:#000000;stroke:none"
+       cx="49.979401"
+       cy="185.28134"
+       r="1.5" />
+    <circle
+       id="path86"
+       style="fill:#000000;stroke:none"
+       cx="49.514881"
+       cy="195.3244"
+       r="1.5" />
+    <circle
+       id="path88"
+       style="fill:#000000;stroke:none"
+       cx="49.514881"
+       cy="205.90775"
+       r="1.5" />
+    <circle
+       id="path90"
+       style="fill:#000000;stroke:none"
+       cx="48.75893"
+       cy="214.97917"
+       r="1.5" />
+    <circle
+       id="path92"
+       style="fill:#000000;stroke:none"
+       cx="44.601189"
+       cy="225.18452"
+       r="1.5" />
+    <circle
+       id="path94"
+       style="fill:#000000;stroke:none"
+       cx="42.711311"
+       cy="232.36607"
+       r="1.5" />
+    <circle
+       id="path96"
+       style="fill:#000000;stroke:none"
+       cx="43.467262"
+       cy="242.19345"
+       r="1.5" />
+    <circle
+       id="path98"
+       style="fill:#000000;stroke:none"
+       cx="48.75893"
+       cy="248.61905"
+       r="1.5" />
+    <circle
+       id="path100"
+       style="fill:#000000;stroke:none"
+       cx="60.476192"
+       cy="255.42262"
+       r="1.5" />
+    <circle
+       id="path102"
+       style="fill:#000000;stroke:none"
+       cx="68.791664"
+       cy="258.44644"
+       r="1.5" />
+    <circle
+       id="path104"
+       style="fill:#000000;stroke:none"
+       cx="81.64286"
+       cy="259.58035"
+       r="1.5" />
+    <circle
+       id="path106"
+       style="fill:#000000;stroke:none"
+       cx="91.848213"
+       cy="259.20239"
+       r="1.5" />
+    <circle
+       id="path108"
+       style="fill:#000000;stroke:none"
+       cx="101.6756"
+       cy="260.71429"
+       r="1.5" />
+    <circle
+       id="path110"
+       style="fill:#000000;stroke:none"
+       cx="109.84778"
+       cy="263.85858"
+       r="1.5" />
+    <circle
+       id="path112"
+       style="fill:#000000;stroke:none"
+       cx="118.66767"
+       cy="266.53128"
+       r="1.5" />
+    <circle
+       id="path114"
+       style="fill:#000000;stroke:none"
+       cx="129.62572"
+       cy="264.12585"
+       r="1.5" />
+    <circle
+       id="path116"
+       style="fill:#000000;stroke:none"
+       cx="138.71288"
+       cy="259.84955"
+       r="1.5" />
+    <circle
+       id="path118"
+       style="fill:#000000;stroke:none"
+       cx="147.2655"
+       cy="256.90958"
+       r="1.5" />
+    <circle
+       id="path120"
+       style="fill:#000000;stroke:none"
+       cx="153.94725"
+       cy="255.30595"
+       r="1.5" />
+    <circle
+       id="path122"
+       style="fill:#000000;stroke:none"
+       cx="161.96533"
+       cy="252.366"
+       r="1.5" />
+    <circle
+       id="path124"
+       style="fill:#ff0000;stroke:none"
+       cx="178.53604"
+       cy="262.25497"
+       r="1.5" />
+    <circle
+       id="path126"
+       style="fill:#ff0000;stroke:none"
+       cx="181.74329"
+       cy="255.30595"
+       r="1.5" />
+    <circle
+       id="path132"
+       style="fill:#ff0000;stroke:none"
+       cx="183.88144"
+       cy="247.0206"
+       r="1.5" />
+    <circle
+       id="path134"
+       style="fill:#ff0000;stroke:none"
+       cx="183.88144"
+       cy="238.73524"
+       r="1.5" />
+    <circle
+       id="path140"
+       style="fill:#ff0000;stroke:none"
+       cx="183.34689"
+       cy="231.25169"
+       r="1.5" />
+    <circle
+       id="path142"
+       style="fill:#ff0000;stroke:none"
+       cx="183.61417"
+       cy="225.10451"
+       r="1.5" />
+    <circle
+       id="path144"
+       style="fill:#ff0000;stroke:none"
+       cx="183.61417"
+       cy="219.22456"
+       r="1.5" />
+    <circle
+       id="path146"
+       style="fill:#ff0000;stroke:none"
+       cx="183.61417"
+       cy="213.34464"
+       r="1.5" />
+    <circle
+       id="path148"
+       style="fill:#ff0000;stroke:none"
+       cx="183.07964"
+       cy="207.73198"
+       r="1.5" />
+    <circle
+       id="path150"
+       style="fill:#ff0000;stroke:none"
+       cx="183.07964"
+       cy="200.5157"
+       r="1.5" />
+    <circle
+       id="path152"
+       style="fill:#ff0000;stroke:none"
+       cx="183.07964"
+       cy="194.10123"
+       r="1.5" />
+    <circle
+       id="path154"
+       style="fill:#ff0000;stroke:none"
+       cx="182.81236"
+       cy="187.15222"
+       r="1.5" />
+    <circle
+       id="path156"
+       style="fill:#ff0000;stroke:none"
+       cx="181.74329"
+       cy="180.47049"
+       r="1.5" />
+    <circle
+       id="path158"
+       style="fill:#ff0000;stroke:none"
+       cx="180.94147"
+       cy="174.85783"
+       r="1.5" />
+    <circle
+       id="path160"
+       style="fill:#ff0000;stroke:none"
+       cx="180.67419"
+       cy="169.24516"
+       r="1.5" />
+    <circle
+       id="path168"
+       style="fill:#ff0000;stroke:none"
+       cx="180.40694"
+       cy="163.09798"
+       r="1.5" />
+    <circle
+       id="path170"
+       style="fill:#ff0000;stroke:none"
+       cx="178.53604"
+       cy="156.95078"
+       r="1.5" />
+    <circle
+       id="path172"
+       style="fill:#ff0000;stroke:none"
+       cx="175.32881"
+       cy="152.67445"
+       r="1.5" />
+    <circle
+       id="path174"
+       style="fill:#ff0000;stroke:none"
+       cx="169.98341"
+       cy="148.66541"
+       r="1.5" />
+    <circle
+       id="path176"
+       style="fill:#ff0000;stroke:none"
+       cx="163.56895"
+       cy="143.32002"
+       r="1.5" />
+    <circle
+       id="path178"
+       style="fill:#ff0000;stroke:none"
+       cx="156.35268"
+       cy="137.17282"
+       r="1.5" />
+    <circle
+       id="path180"
+       style="fill:#ff0000;stroke:none"
+       cx="153.14545"
+       cy="131.82742"
+       r="1.5" />
+    <circle
+       id="path182"
+       style="fill:#ff0000;stroke:none"
+       cx="151.27455"
+       cy="124.61115"
+       r="1.5" />
+    <circle
+       id="path184"
+       style="fill:#ff0000;stroke:none"
+       cx="150.74001"
+       cy="116.86034"
+       r="1.5" />
+    <circle
+       id="path186"
+       style="fill:#ff0000;stroke:none"
+       cx="150.74001"
+       cy="110.1786"
+       r="1.5" />
+    <circle
+       id="path188"
+       style="fill:#ff0000;stroke:none"
+       cx="150.47273"
+       cy="103.49686"
+       r="1.5" />
+    <circle
+       id="path190"
+       style="fill:#ff0000;stroke:none"
+       cx="150.20547"
+       cy="96.013313"
+       r="1.5" />
+    <circle
+       id="path194"
+       style="fill:#ff0000;stroke:none"
+       cx="150.20547"
+       cy="89.064308"
+       r="1.5" />
+    <circle
+       id="path196"
+       style="fill:#ff0000;stroke:none"
+       cx="148.86913"
+       cy="83.718918"
+       r="1.5" />
+    <circle
+       id="path212"
+       style="fill:#ff0000;stroke:none"
+       cx="147.2655"
+       cy="77.304451"
+       r="1.5" />
+    <circle
+       id="path214"
+       style="fill:#ff0000;stroke:none"
+       cx="145.12735"
+       cy="73.295403"
+       r="1.5" />
+    <circle
+       id="path216"
+       style="fill:#ff0000;stroke:none"
+       cx="141.38557"
+       cy="69.286362"
+       r="1.5" />
+    <circle
+       id="path218"
+       style="fill:#ff0000;stroke:none"
+       cx="136.57474"
+       cy="64.47551"
+       r="1.5" />
+    <circle
+       id="path220"
+       style="fill:#ff0000;stroke:none"
+       cx="130.96207"
+       cy="62.070084"
+       r="1.5" />
+    <circle
+       id="path222"
+       style="fill:#ff0000;stroke:none"
+       cx="124.01306"
+       cy="59.397388"
+       r="1.5" />
+    <circle
+       id="path224"
+       style="fill:#ff0000;stroke:none"
+       cx="116.26224"
+       cy="58.328312"
+       r="1.5" />
+    <circle
+       id="path226"
+       style="fill:#ff0000;stroke:none"
+       cx="107.70962"
+       cy="58.86285"
+       r="1.5" />
+    <circle
+       id="path228"
+       style="fill:#ff0000;stroke:none"
+       cx="99.958801"
+       cy="59.931931"
+       r="1.5" />
+    <circle
+       id="path230"
+       style="fill:#ff0000;stroke:none"
+       cx="92.742523"
+       cy="62.871895"
+       r="1.5" />
+    <circle
+       id="path232"
+       style="fill:#ff0000;stroke:none"
+       cx="88.733482"
+       cy="67.682747"
+       r="1.5" />
+    <circle
+       id="path234"
+       style="fill:#ff0000;stroke:none"
+       cx="84.189903"
+       cy="74.899025"
+       r="1.5" />
+    <circle
+       id="path236"
+       style="fill:#ff0000;stroke:none"
+       cx="80.715401"
+       cy="80.778954"
+       r="1.5" />
+    <circle
+       id="path238"
+       style="fill:#ff0000;stroke:none"
+       cx="75.904549"
+       cy="82.917107"
+       r="1.5" />
+    <circle
+       id="path240"
+       style="fill:#ff0000;stroke:none"
+       cx="68.420998"
+       cy="82.382568"
+       r="1.5" />
+    <circle
+       id="path242"
+       style="fill:#ff0000;stroke:none"
+       cx="55.592064"
+       cy="82.917107"
+       r="1.5" />
+    <circle
+       id="path244"
+       style="fill:#ff0000;stroke:none"
+       cx="46.504898"
+       cy="82.917107"
+       r="1.5" />
+    <circle
+       id="path246"
+       style="fill:#ff0000;stroke:none"
+       cx="37.952274"
+       cy="84.787994"
+       r="1.5" />
+    <circle
+       id="path248"
+       style="fill:#ff0000;stroke:none"
+       cx="31.270535"
+       cy="87.995232"
+       r="1.5" />
+    <circle
+       id="path250"
+       style="fill:#ff0000;stroke:none"
+       cx="24.054256"
+       cy="94.142426"
+       r="1.5" />
+    <circle
+       id="path252"
+       style="fill:#ff0000;stroke:none"
+       cx="18.441597"
+       cy="100.02236"
+       r="1.5" />
+    <circle
+       id="path254"
+       style="fill:#ff0000;stroke:none"
+       cx="15.768902"
+       cy="105.90229"
+       r="1.5" />
+    <circle
+       id="path256"
+       style="fill:#ff0000;stroke:none"
+       cx="14.967094"
+       cy="112.58403"
+       r="1.5" />
+    <circle
+       id="path258"
+       style="fill:#ff0000;stroke:none"
+       cx="15.501633"
+       cy="121.13665"
+       r="1.5" />
+    <circle
+       id="path260"
+       style="fill:#ff0000;stroke:none"
+       cx="16.570711"
+       cy="128.35294"
+       r="1.5" />
+    <circle
+       id="path274"
+       style="fill:#ff0000;stroke:none"
+       cx="18.976135"
+       cy="136.10374"
+       r="1.5" />
+    <circle
+       id="path282"
+       style="fill:#ff0000;stroke:none"
+       cx="21.114292"
+       cy="143.32002"
+       r="1.5" />
+    <circle
+       id="path284"
+       style="fill:#ff0000;stroke:none"
+       cx="24.856066"
+       cy="152.13992"
+       r="1.5" />
+    <circle
+       id="path288"
+       style="fill:#ff0000;stroke:none"
+       cx="27.796032"
+       cy="161.76163"
+       r="1.5" />
+    <circle
+       id="path290"
+       style="fill:#ff0000;stroke:none"
+       cx="30.201456"
+       cy="171.11604"
+       r="1.5" />
+    <circle
+       id="path296"
+       style="fill:#ff0000;stroke:none"
+       cx="30.735996"
+       cy="182.34137"
+       r="1.5" />
+    <circle
+       id="path298"
+       style="fill:#ff0000;stroke:none"
+       cx="30.468725"
+       cy="192.23035"
+       r="1.5" />
+    <circle
+       id="path300"
+       style="fill:#ff0000;stroke:none"
+       cx="31.003265"
+       cy="201.85205"
+       r="1.5" />
+    <circle
+       id="path306"
+       style="fill:#ff0000;stroke:none"
+       cx="28.063299"
+       cy="213.34464"
+       r="1.5" />
+    <circle
+       id="path312"
+       style="fill:#ff0000;stroke:none"
+       cx="25.123337"
+       cy="223.76814"
+       r="1.5" />
+    <circle
+       id="path314"
+       style="fill:#ff0000;stroke:none"
+       cx="25.390606"
+       cy="231.78624"
+       r="1.5" />
+    <circle
+       id="path316"
+       style="fill:#ff0000;stroke:none"
+       cx="25.925144"
+       cy="239.53705"
+       r="1.5" />
+    <circle
+       id="path318"
+       style="fill:#ff0000;stroke:none"
+       cx="28.063299"
+       cy="248.89149"
+       r="1.5" />
+    <circle
+       id="path320"
+       style="fill:#ff0000;stroke:none"
+       cx="31.003265"
+       cy="256.37503"
+       r="1.5" />
+    <circle
+       id="path322"
+       style="fill:#ff0000;stroke:none"
+       cx="35.279579"
+       cy="262.52222"
+       r="1.5" />
+    <circle
+       id="path324"
+       style="fill:#ff0000;stroke:none"
+       cx="41.426777"
+       cy="268.40216"
+       r="1.5" />
+    <circle
+       id="path326"
+       style="fill:#ff0000;stroke:none"
+       cx="51.583019"
+       cy="272.94574"
+       r="1.5" />
+    <circle
+       id="path328"
+       style="fill:#ff0000;stroke:none"
+       cx="60.93745"
+       cy="275.88571"
+       r="1.5" />
+    <circle
+       id="path330"
+       style="fill:#ff0000;stroke:none"
+       cx="72.430038"
+       cy="279.09293"
+       r="1.5" />
+    <circle
+       id="path332"
+       style="fill:#ff0000;stroke:none"
+       cx="82.319016"
+       cy="278.55841"
+       r="1.5" />
+    <circle
+       id="path334"
+       style="fill:#ff0000;stroke:none"
+       cx="92.742523"
+       cy="279.3602"
+       r="1.5" />
+    <circle
+       id="path336"
+       style="fill:#ff0000;stroke:none"
+       cx="103.70058"
+       cy="283.36926"
+       r="1.5" />
+    <circle
+       id="path338"
+       style="fill:#ff0000;stroke:none"
+       cx="117.33132"
+       cy="286.57648"
+       r="1.5" />
+    <circle
+       id="path340"
+       style="fill:#ff0000;stroke:none"
+       cx="125.88395"
+       cy="284.97287"
+       r="1.5" />
+    <circle
+       id="path342"
+       style="fill:#ff0000;stroke:none"
+       cx="137.10927"
+       cy="283.10199"
+       r="1.5" />
+    <circle
+       id="path344"
+       style="fill:#ff0000;stroke:none"
+       cx="145.92915"
+       cy="281.49838"
+       r="1.5" />
+    <circle
+       id="path346"
+       style="fill:#ff0000;stroke:none"
+       cx="156.0854"
+       cy="277.75659"
+       r="1.5" />
+    <circle
+       id="path348"
+       style="fill:#ff0000;stroke:none"
+       cx="166.24165"
+       cy="275.35117"
+       r="1.5" />
+    <circle
+       id="path350"
+       style="fill:#ff0000;stroke:none"
+       cx="171.58704"
+       cy="271.60938"
+       r="1.5" />
+    <circle
+       id="path352"
+       style="fill:#ff0000;stroke:none"
+       cx="176.39789"
+       cy="267.0658"
+       r="1.5" />
+  </g>
+</svg>
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track3.svg b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track3.svg
new file mode 100644
index 0000000000000000000000000000000000000000..449fd584ec2cf6efd7f0bbae1171dc9bce1d724c
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track3.svg
@@ -0,0 +1,1957 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   xmlns:dc="http://purl.org/dc/elements/1.1/"
+   xmlns:cc="http://creativecommons.org/ns#"
+   xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
+   xmlns:svg="http://www.w3.org/2000/svg"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   width="210mm"
+   height="297mm"
+   viewBox="0 0 210 297"
+   version="1.1"
+   id="svg8"
+   sodipodi:docname="track3.svg"
+   inkscape:version="0.92.3 (d244b95, 2018-08-02)">
+  <defs
+     id="defs2" />
+  <sodipodi:namedview
+     id="base"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1.0"
+     inkscape:pageopacity="0.0"
+     inkscape:pageshadow="2"
+     inkscape:zoom="4"
+     inkscape:cx="274.64417"
+     inkscape:cy="833.73755"
+     inkscape:document-units="mm"
+     inkscape:current-layer="layer1"
+     showgrid="false"
+     inkscape:window-width="1366"
+     inkscape:window-height="709"
+     inkscape:window-x="0"
+     inkscape:window-y="24"
+     inkscape:window-maximized="1" />
+  <metadata
+     id="metadata5">
+    <rdf:RDF>
+      <cc:Work
+         rdf:about="">
+        <dc:format>image/svg+xml</dc:format>
+        <dc:type
+           rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
+      </cc:Work>
+    </rdf:RDF>
+  </metadata>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1">
+    <path
+       sodipodi:nodetypes="zzzzzzzzzzcssssssszzsssssssssssssssssssssssssssssscc"
+       inkscape:connector-curvature="0"
+       id="path28"
+       d="M60.402914 75.700831C60.6175094375 75.45058 60.830382957 75.2120385625 61.0421375004 74.9845229814C61.2665235606 74.7434357107 61.4896531654 74.514728952 61.7122437203 74.2975892028C61.9479534248 74.0676515662 62.1830586653 73.8506846039 62.4184113191 73.6457223293C62.6656244439 73.4304310905 62.9131105469 73.2283849663 63.161856894 73.0384644457C63.4211463758 72.8404941279 63.6818051969 72.6556990869 63.9449515556 72.482811341C64.2157744333 72.3048801049 64.4892320987 72.1395610177 64.766543493 71.9854718604C65.0474827048 71.8293668921 65.3323771349 71.6847875978 65.6224941919 71.5502967989C65.9120380252 71.4160717317 66.2067838678 71.2918953328 66.5079916306 71.1763389254C66.8033733244 71.0630176517 67.1049693786 70.9579861325 67.413968 70.859897C67.7140996372 70.7646224885 68.0212150901 70.6758976528 68.3364031833 70.592487813C68.6397947084 70.5121997595 68.9506659112 70.4368362975 69.2699878801 70.3652962547C69.5752397247 70.296908445 69.888214019 70.2320145389 70.2097590585 70.1696526057C70.5169494088 70.1100746873 70.8319623407 70.052807719 71.1555375354 69.9970129342C71.4636291514 69.9438880171 71.7794832005 69.8920977619 72.1037381792 69.8409181412C72.4124073864 69.7921985409 72.7286893276 69.7440322839 73.0531347831 69.695794809C73.3619788363 69.6498768988 73.6782201729 69.6038944553 74.0023338777 69.5573087528C74.3122087375 69.5127696363 74.6292794672 69.4676791009 74.9539612481 69.4215663485C75.2637721078 69.3775656307 75.5805127895 69.3326341897 75.904544 69.286363C76.2236211318 69.240799252 76.5526652265 69.1984244492 76.8908977268 69.1593103364C77.2129220759 69.1220705776 77.543275311 69.0877864909 77.8812855226 69.0565199933C78.2050585979 69.026570454 78.5358572039 68.9993896531 78.8730908089 68.9750320084C79.1985875832 68.9515220893 79.530079233 68.930642236 79.8670347627 68.9124413801C80.1933489179 68.8948153244 80.5247872934 68.8797017275 80.8608676297 68.8671450299C81.1881037706 68.8549187708 81.5197407738 68.8451166085 81.8553334596 68.8377795666C82.1835115091 68.8306046304 82.5154723773 68.8257870885 82.850799745 68.8233653049C83.1795964269 68.8209906869 83.5116297563 68.8209194186 83.8465072674 68.8231876659C84.1757338714 68.8254176376 84.5077094784 68.8299088345 84.8420611574 68.8366956226C85.1712290894 68.8433771892 85.502699988 68.8522837176 85.836118 68.863448C86.1658997449 68.8744905322 86.4975863706 68.8877418481 86.8308335371 68.9032336787C87.1606923562 68.9185679934 87.4920801433 68.9360974928 87.8246629551 68.9558529499C88.1548601225 68.9754666994 88.4862352322 68.9972745872 88.8184614757 69.0213067286C89.1486199653 69.0451892956 89.479619027 69.0712685153 89.8111379165 69.0995739443C90.1409384041 69.1277326543 90.4712533445 69.1580945547 90.8017669556 69.1906887449C91.1316031335 69.2232161289 91.4616371685 69.2579666613 91.7915552158 69.2949692629C92.1207871418 69.3318949113 92.4499035621 69.3710632716 92.7785925862 69.4125030846C93.1077095908 69.4539968557 93.4363980855 69.4977679986 93.7643449597 69.5438453665C94.0935766442 69.5901032536 94.4220608859 69.6386854714 94.7494808799 69.6896212137C95.0781823611 69.7407563131 95.4058112476 69.794263396 95.732047 69.850172C96.0598689971 69.9063524341 96.3862842936 69.9649577941 96.7109676504 70.0260180526C97.0385761343 70.0876284133 97.3644213313 70.1517381049 97.6881691324 70.2183779172C98.0149921406 70.2856507261 98.3396777184 70.3555019501 98.6618821451 70.4279632649C98.9875179089 70.5011962612 99.3106193939 70.577095237 99.6308317808 70.6556928907C99.9553613298 70.7353502124 100.276923353 70.8177794707 100.595148485 70.9030147046C100.918120436 70.9895213534 101.237655204 71.0789183131 101.553366647 71.1712411685C101.874854141 71.2652531025 102.192377132 71.3622989721 102.505527895 71.4624163515C102.824651844 71.5644434169 103.139235177 71.6696602843 103.448846391 71.7781067192C103.765609858 71.8890583486 104.077168833 72.0033904799 104.38306121 72.1211456983C104.696207952 72.2416935307 105.003416138 72.3658287354 105.30419 72.493597C105.593744993 72.6165995425 105.881856423 72.7425572718 106.168430728 72.8713849142C106.455116572 73.0002626987 106.740264094 73.1320126308 107.023779621 73.2665493374C107.307970668 73.4014065989 107.590521934 73.5390639306 107.871339075 73.6794353475C108.153121714 73.8202893857 108.433158283 73.9638762041 108.711353461 74.1101089279C108.990065944 74.2566135717 109.266930181 74.4057739702 109.541850321 74.557502763C109.817342046 74.7095470143 110.09088158 74.8641703508 110.362372472 75.0212848661C110.634928042 75.1790155214 110.905418871 75.3392569327 111.173747366 75.5019201553C111.443127103 75.6652206498 111.71032753 75.8309619689 111.975249905 75.9990541182C112.241209158 76.1678041624 112.504872492 76.3389234746 112.76614 76.512321C113.02871019 76.6865844502 113.288860594 76.8631489251 113.546489774 77.0419220041C113.805490932 77.2216471219 114.061943941 77.40360443 114.315745733 77.5877000234C114.5710976 77.7729199663 114.823765766 77.9603043932 115.073645265 78.149757668C115.324951638 78.3402927682 115.573437405 78.5329204111 115.818995789 78.727543313C116.066078533 78.9233743816 116.310197437 79.1212255582 116.551243724 79.3209977361C116.794341993 79.5224705375 117.034315109 79.7258971857 117.271051493 79.9311760214C117.509534579 80.1379694573 117.744732995 80.3466425134 117.976532673 80.5570912636C118.210325851 80.7693498934 118.440661581 80.9834148909 118.667422828 81.1991796255C118.895962595 81.4166366326 119.120871589 81.6358201438 119.34203 81.856621C119.56581125 82.0800395591 119.785752454 82.3051140174 120.001729527 82.5317312864C120.219737509 82.7604795173 120.433706458 82.9907997103 120.643508757 83.2225755566C120.855729745 83.4570234121 121.063687459 83.6929606771 121.267249817 83.9302669733C121.473083623 84.1702212481 121.674423435 84.4115752773 121.871132699 84.6542046078C122.070148314 84.8996786868 122.264424163 85.1464581474 122.453818832 85.3944141077C122.645896288 85.64588238 122.832953301 85.8985607183 123.014842362 86.1523146859C123.199130971 86.4094162685 123.378114374 86.6676220478 123.551639148 86.9267921958C123.727907525 87.190060086 123.898543296 87.4543230813 124.063385645 87.7194346159C124.230823936 87.9887211352 124.392284899 88.2588831299 124.5476 88.529767C124.7079346 88.8094063584 124.864096645 89.0880433456 125.015985513 89.3658016073C125.170394373 89.6481681629 125.320387088 89.9296265933 125.465857942 90.210306801C125.613896328 90.4959409581 125.757251825 90.7807691791 125.895813023 91.064928367C126.036935612 91.3543404187 126.173085013 91.6430584737 126.30414352 91.9312271684C126.43728258 92.2239705412 126.565167828 92.516146973 126.687675863 92.8079080986C126.812120875 93.1042822628 126.931017291 93.4002278842 127.044235767 93.6959039041C127.159237211 93.9962362393 127.268380473 94.2962904148 127.37153 94.596233C127.475958411 94.899894322 127.574243428 95.2034412774 127.666244499 95.5070467072C127.759323315 95.8142087196 127.845970096 96.1214305846 127.926039291 96.428891289C128.006827881 96.7391144248 128.08092016 97.0495807111 128.148166618 97.3604740026C128.215817667 97.6732377952 128.276540271 97.9864337466 128.330182207 98.3002490503C128.383990369 98.6150368106 128.430673912 98.9304477675 128.470079191 99.2466708601C128.50953253 99.5632796282 128.541689841 99.880702514 128.566396918 100.199129149C128.591007671 100.516314354 128.608226168 100.834495497 128.6179 101.15386C128.627535498 101.471800161 128.629691166 101.790913364 128.624216981 102.111384477C128.618794283 102.428841426 128.605884582 102.747630862 128.585342047 103.067932487C128.565059685 103.384177476 128.537336606 103.701896593 128.502032452 104.021262798C128.467236666 104.336030228 128.425076564 104.652397653 128.375417763 104.970530669C128.326640474 105.283016382 128.270628348 105.597205559 128.207254034 105.913255132C128.145114835 106.223145146 128.075897618 106.534823748 127.999482332 106.848438871C127.924837285 107.154788779 127.843323807 107.462986525 127.75483 107.77317C127.664222656 108.090763203 127.554826961 108.402362972 127.428300422 108.708501218C127.302845957 109.012045519 127.160549722 109.310220456 127.003027448 109.603544534C126.848376014 109.891522786 126.679048471 110.174825381 126.496573812 110.453942987C126.31776607 110.727451589 126.126334297 110.99694171 125.923717148 111.262875028C125.725996776 111.522381366 125.517625143 111.778500743 125.299939096 112.031662166C125.086968549 112.279339623 124.865082754 112.524185889 124.63553355 112.766602691C124.410403313 113.004352816 124.177901878 113.239766115 123.939210172 113.473221557C123.705135327 113.70216142 123.465107364 113.929218434 123.22024 114.15475C122.978997666 114.376942 122.733058203 114.597653446 122.483486616 114.817226101C122.236811395 115.034250538 121.986587866 115.250162464 121.733844384 115.465291879C121.483039483 115.678771218 121.229753138 115.891480004 120.974990223 116.103740704C120.721816083 116.314677683 120.467183732 116.525172146 120.212079361 116.735540565C119.957226556 116.945701531 119.701902662 117.155736701 119.447090952 117.365961609C119.192032359 117.576390202 118.937486943 117.787008901 118.684440843 117.998134159C118.429780838 118.210605954 118.176639335 118.423590791 117.926021458 118.637411217C117.67343795 118.852908665 117.42341781 119.069254861 117.17699 119.28678C116.927598931 119.506918857 116.681887048 119.728265147 116.440920854 119.9511611C116.196593632 120.177166033 115.957145409 120.404764162 115.723687938 120.634312238C115.485933764 120.868085067 115.254392886 121.10388028 115.030239579 121.342074693C114.801526933 121.585114045 114.580505445 121.830651189 114.368422513 122.079086407C114.151436515 122.333265105 113.943807144 122.590477423 113.746870328 122.85115205C113.545274377 123.117993721 113.354882894 123.388463462 113.177128883 123.663021111C112.995762171 123.943158914 112.827551844 124.227552481 112.674020066 124.516690263C112.518070465 124.810381396 112.37726537 125.108967344 112.2532 125.41296C112.13102842 125.712312559 112.012539909 126.012631129 111.897879155 126.313762214C111.782810194 126.615965367 111.671596295 126.91898683 111.5643837 127.222671462C111.456739413 127.527578883 111.353128717 127.833154823 111.253699628 128.13924226C111.153843664 128.446643809 111.05820529 128.754561256 110.966934435 129.062835545C110.875095564 129.373028355 110.787678744 129.683582463 110.704836722 129.994335826C110.621466341 130.307071145 110.542729299 130.620008269 110.468781285 130.932982035C110.394253286 131.248410497 110.324589731 131.563876179 110.25995 131.87921C110.194878018 132.196647656 110.134897145 132.513951726 110.080169887 132.830949792C110.025018249 133.150406004 109.975202019 133.469551449 109.930887511 133.788209666C109.886297911 134.108846028 109.84727855 134.428989094 109.813998861 134.748459099C109.780435867 135.070648693 109.752710682 135.392153718 109.730997099 135.712789777C109.709090998 136.036268679 109.693303572 136.358863138 109.683813281 136.68038381C109.674262462 137.00395511 109.671089358 137.326438882 109.674475864 137.647642135C109.677888931 137.97136463 109.687964907 138.29378644 109.70489 138.61471C109.721953418 138.938217842 109.745976813 139.260203139 109.777151011 139.58046346C109.808512163 139.902644406 109.847110144 140.223079624 109.893139231 140.54156302C109.939449043 140.86198879 109.993280881 141.180438858 110.054832601 141.496703335C110.116565237 141.813897395 110.186063205 142.128892996 110.263526109 142.441478394C110.341115289 142.754573354 110.426695395 143.065250245 110.52046701 143.373296286C110.614376121 143.681794007 110.71650078 143.987653157 110.827042456 144.290660016C110.937584132 144.593666875 111.056542824 144.893821443 111.18412 145.19091C111.311731514 145.488076797 111.455586723 145.774658712 111.614097237 146.051553465C111.773543877 146.330083494 111.947819435 146.598811602 112.135307212 146.858651509C112.322276741 147.117773175 112.522385547 147.368055708 112.734030302 147.610405271C112.943801688 147.850609683 113.164905706 148.08302094 113.395781226 148.308521356C113.623662087 148.531096833 113.861062605 148.746939585 114.106481611 148.956898034C114.348366894 149.163833348 114.598041417 149.365052592 114.854067927 149.561368065C115.106968066 149.755286306 115.36606601 149.944419807 115.629976518 150.12955147C115.891079913 150.31271396 116.156894038 150.491959292 116.426077387 150.668045653C116.693820675 150.843189998 116.964897236 151.015209081 117.237986977 151.184848984C117.510012041 151.353827523 117.784034619 151.520445398 118.05875 151.68544C118.33398407 151.850744871 118.60991367 152.014420383 118.885226662 152.177208086C119.162012113 152.340866427 119.438174342 152.503627436 119.712380047 152.666244624C119.989680857 152.830697358 120.264980724 152.995003006 120.536900682 153.159940882C120.813413975 153.327664926 121.086432208 153.496042738 121.354505346 153.665893798C121.628359358 153.839407617 121.897052698 154.014458909 122.159039489 154.191921318C122.428587558 154.374505522 122.691036371 154.559642028 122.944702301 154.748282329C123.206390369 154.942888345 123.458731257 155.141223274 123.699876497 155.344331767C123.949644867 155.55470323 124.187402582 155.770195757 124.411095705 155.991970121C124.642637152 156.221525489 124.859109774 156.457811227 125.05823577 156.702114621C125.263683226 156.954173679 125.450665201 157.214767532 125.61668 157.48531C125.775136309 157.743534854 125.930085756 157.996003465 126.081195174 158.243577341C126.239098501 158.502282187 126.392808739 158.755642267 126.541945735 159.004640591C126.697660968 159.264621907 126.84839062 159.519848198 126.99370198 159.771438375C127.145122763 160.033606327 127.290660065 160.291825985 127.42982427 160.547363408C127.574233255 160.812531449 127.711779716 161.074811269 127.841916565 161.335617531C127.976561379 161.60545817 128.10327435 161.873721394 128.221449546 162.141974031C128.34226391 162.416217466 128.454154897 162.690449835 128.556475067 162.966345302C128.660001367 163.245492975 128.753729882 163.526343185 128.83699 163.81063C128.920070093 164.094297778 128.992727268 164.381387192 129.054295223 164.673621037C129.114797756 164.960797827 129.164591543 165.252942543 129.203044278 165.551690081C129.24016304 165.840073702 129.266713972 166.134609973 129.282128316 166.436769474C129.296876446 166.725869509 129.301429842 167.021948055 129.295290353 167.326293141C129.289472727 167.614682874 129.274053981 167.910495117 129.248610274 168.214825754C129.224618005 168.501795835 129.191711901 168.796340166 129.149536597 169.099377584C129.109852727 169.384513589 129.061962435 169.67716889 129.005569685 169.978108918C128.952594679 170.260810156 128.892116586 170.550822341 128.82389 170.84878C128.753441702 171.156450083 128.668853597 171.468493809 128.570882252 171.784207826C128.477170807 172.08619426 128.371214654 172.391538749 128.253675902 172.699625755C128.140674407 172.995819917 128.016967282 173.294548948 127.883142878 173.59526588C127.754124095 173.885184097 127.615701608 174.176950008 127.468402636 174.470073477C127.325748247 174.753954272 127.174768328 175.039108362 127.015941781 175.325090533C126.861295448 175.603545832 126.699210089 175.882786196 126.530127778 176.162400643C126.365020161 176.435442066 126.193240688 176.708840191 126.015200983 176.982212346C125.840604987 177.250296838 125.659988592 177.518356354 125.47374 177.78603C125.290882236 178.048830293 125.102595573 178.311258558 124.909247352 178.572973276C124.718685067 178.830916972 124.523206037 179.088167536 124.323161953 179.344398C124.125671817 179.597357189 123.923732446 179.849322159 123.717682233 180.099978308C123.513499837 180.348362292 123.30528079 180.595461075 123.093354364 180.840968531C122.883018126 181.084633825 122.669029937 181.326731584 122.451711714 181.566962521C122.235660247 181.805793144 122.016317454 182.042778646 121.793999655 182.277624945C121.572331909 182.511784559 121.347706529 182.74381746 121.120437068 182.97343214C120.893167608 183.203046819 120.663254068 183.430243276 120.43101 183.65473C120.19883116 183.879154136 119.964323306 184.100869997 119.727799729 184.319586304C119.490286237 184.539217998 119.250740112 184.755824977 119.009478594 184.969112289C118.766551235 185.183872288 118.521884712 185.39526662 118.275802881 185.60299418C118.028002657 185.812172303 117.77876729 186.017632265 117.528427467 186.219066611C117.275331354 186.422718787 117.02110633 186.622256213 116.766094127 186.817361164C116.507717709 187.015040011 116.248533206 187.208168662 115.98889605 187.396416653C115.725672946 187.587264609 115.461984601 187.773096156 115.198201381 187.953566946C114.929215336 188.137597319 114.660130637 188.316053379 114.39134 188.48857C114.127931797 188.657632539 113.84861181 188.822691229 113.555118286 188.983791207C113.278597005 189.135575042 112.989494053 189.283844777 112.689263222 189.428638162C112.403525716 189.566441801 112.107708771 189.701096623 111.803065638 189.832635171C111.510670923 189.958885108 111.21014548 190.082264318 110.90259739 190.202801575C110.605433275 190.319269042 110.301712731 190.433083226 109.992435346 190.544270083C109.690628176 190.652771358 109.383529361 190.758770692 109.072067796 190.862292206C108.767192904 190.963624486 108.458137834 191.062582637 108.145773787 191.159189282C107.838252593 191.254298149 107.527524229 191.34712786 107.21442 191.4377C106.90411624 191.527462024 106.591687122 191.616233724 106.277864854 191.703582238C105.966231549 191.79032148 105.653224461 191.875657322 105.339560582 191.959165894C105.025823338 192.042693998 104.711428996 192.124393978 104.397095052 192.203841669C104.081926066 192.283500417 103.766817799 192.360894893 103.452493481 192.435597542C103.1349893 192.511055921 102.81828501 192.583767735 102.503126012 192.653292321C102.184025799 192.723686345 101.86650977 192.790812927 101.55135164 192.854214666C101.229628945 192.918937027 100.910363401 192.979777756 100.594378088 193.036250269C100.270899053 193.09406205 99.9508576769 193.147295971 99.635137 193.19543C99.635137 193.19543 99.2678798031 193.27358438 98.6803579199 193.389643021C98.4049820963 193.444040559 98.0812170777 193.506765153 97.7241984936 193.573672302C97.4251827513 193.629709415 97.1028407722 193.688680447 96.7660647762 193.748150491C96.4557860182 193.802941484 96.1332552022 193.858156056 95.8054264603 193.911889995C95.4878911544 193.963936752 95.1653853967 194.014594397 94.8442286172 194.062132516C94.518852631 194.110295169 94.1948613002 194.155255793 93.8788264065 194.195214874C93.5446961245 194.237461915 93.2194594965 194.274118263 92.9108830256 194.303057261C92.5625316251 194.335726442 92.2354121118 194.358560549 91.940698 194.3685C91.6549929768 194.378136001 91.3430856794 194.379341582 91.0122711761 194.373594363C90.7168192835 194.368461497 90.4062863325 194.357782832 90.0858691239 194.342610984C89.7844801265 194.328340126 89.4743459808 194.310093902 89.1597915339 194.288748311C88.8542130109 194.268011825 88.5444628571 194.244350331 88.2345061508 194.21856696C87.925592416 194.192870347 87.6164735164 194.165066112 87.3110746383 194.135949305C86.9979523555 194.106096147 86.6887406289 194.074863188 86.3876700384 194.043107336C86.0696717161 194.009566006 85.7607557391 193.975441331 85.4659071556 193.941743035C85.1396446631 193.904454438 84.8306067984 193.867687915 84.5455477581 193.832811534C84.1990938421 193.790423618 83.8880599786 193.750827703 83.6245718352 193.716479853C83.0527291465 193.641935447 82.704832 193.59211 82.704832 193.59211C82.3852873955 193.5652479 82.0781640882 193.537757279 81.7819775936 193.509601754C81.4620766107 193.479191926 81.154933887 193.448006458 80.8586790562 193.41599951C80.5396912048 193.381536519 80.2333263146 193.346121138 79.9372495691 193.309696144C79.6200262019 193.270669575 79.314613077 193.230484024 79.018138519 193.189069107C78.7036600332 193.145139199 78.3992386971 193.099826082 78.1014472597 193.053045758C77.7903029989 193.004167826 77.4863965296 192.953688159 77.185818591 192.901510945C76.879386297 192.848317476 76.5764134558 192.793359689 76.2727579067 192.736536064C75.9713277987 192.68012889 75.6692249531 192.621883127 75.3623976148 192.56169947C75.0646660088 192.503299926 74.7624858685 192.44307568 74.4521551987 192.380936001C74.1571932859 192.321873716 73.8548681441 192.261081018 73.542001 192.19848C73.2375359834 192.137559551 72.9345664796 192.075045194 72.6335797428 192.010900397C72.3297682528 191.946153601 72.0279769208 191.879745618 71.7287068487 191.811638873C71.4250794743 191.74254051 71.1240473122 191.671693559 70.8261336724 191.599058781C70.5230204161 191.525156277 70.22313549 191.449402995 69.9270300855 191.371757606C69.6248511259 191.292519597 69.3266083251 191.211311065 69.0328874925 191.128088086C68.7319281427 191.042814144 68.4357163879 190.955425242 68.1448824242 190.86587413C67.8450540733 190.773553542 67.550941286 190.678934938 67.2632345537 190.581966544C66.9648395219 190.481395775 66.6733353559 190.378297385 66.3894923965 190.272613611C66.0933391228 190.162346316 65.8055260016 190.049264518 65.5269280132 189.933302612C65.2338138972 189.811298602 64.9509002259 189.686106533 64.679206 189.55765C64.3920351875 189.421876553 64.1040686913 189.283200874 63.8157443507 189.141546474C63.5308091696 189.001557176 63.2455245073 188.858658773 62.9603129439 188.71277744C62.6773883602 188.568065862 62.3945357078 188.420419 62.1121674827 188.269764791C61.8310675083 188.119787243 61.5504476193 187.966829302 61.2707147785 187.810819873C60.9926125103 187.655719828 60.7153869791 187.497603766 60.4394380725 187.336401825C60.1642960341 187.175671236 59.8904231655 187.011872788 59.6182158567 186.844937234C59.346008548 186.678001679 59.0754667991 186.507929018 58.806987 186.33465C58.5388907793 186.161617139 58.2728505884 185.985386944 58.0092611261 185.805890424C57.7451555092 185.626042417 57.4835102281 185.442915279 57.224722305 185.25643961C56.965632384 185.069746329 56.7094064938 184.879696697 56.4564430478 184.68622107C56.2021744558 184.491747221 55.9512020597 184.293811934 55.7039304716 184.092344482C55.4556891835 183.890086956 55.2111777865 183.684269507 54.9708056716 183.474820574C54.7294918415 183.264551075 54.4923497904 183.050621581 54.2597937398 182.832959686C54.0263274894 182.614445885 53.797483208 182.39217041 53.57368 182.16606C53.3485054016 181.938563606 53.1284338261 181.707185124 52.9138921259 181.471849986C52.6981796476 181.235230597 52.4880575636 180.99461125 52.2839597528 180.749916148C52.0789800204 180.5041637 51.8800767363 180.254300198 51.687689428 180.000248857C51.4947366432 179.745450794 51.3083381948 179.486440237 51.1289374976 179.223139726C50.9492443499 178.959409994 50.7765717868 178.691376309 50.611365395 178.418960829C50.4459167651 178.146145913 50.2879562175 177.868936343 50.1379313017 177.587253933C49.987906386 177.305571523 49.8458171022 177.019416274 49.712111 176.72871C49.5809952834 176.443635854 49.4750308022 176.153577527 49.3907988486 175.859168488C49.3056135343 175.561427247 49.2426554812 175.259236253 49.1983885811 174.953250732C49.1543358629 174.648745698 49.1287938639 174.340482768 49.1182775553 174.029107702C49.1079212303 173.722469555 49.1121369045 173.412813242 49.1275961941 173.100755497C49.1427494611 172.794875057 49.168705606 172.486687318 49.202330018 172.176773112C49.2354671994 171.871349681 49.2760520259 171.564249454 49.3210841868 171.256028377C49.3655917011 170.951398224 49.4144435263 170.645673185 49.464743 170.33939C49.5148068252 170.034543047 49.5663047849 169.729143026 49.6163807452 169.423719199C49.6665437379 169.117764543 49.7152797841 168.811785998 49.759717832 168.506315589C49.8044175622 168.199046357 49.8447685259 167.892291265 49.8778486517 167.586591791C49.9113222501 167.277256166 49.9373510156 166.969001422 49.9529073616 166.662388592C49.9686792915 166.351526643 49.9736865317 166.042352431 49.9647738723 165.73545064C49.9557470339 165.424617166 49.9324413589 165.116114709 49.8915788141 164.81055071C49.8505563375 164.503790767 49.7918392908 164.199992329 49.712111 163.89977C49.634780375 163.60857625 49.5529641719 163.318807656 49.4668460098 163.030441113C49.380601698 162.741652158 49.2900428146 162.454269365 49.1953537869 162.168269526C49.1006417206 161.8822001 49.0017974999 161.597514302 48.8990056867 161.314188908C48.7961038049 161.03056013 48.6892458719 160.748294671 48.5786170432 160.467369231C48.4682441098 160.187093599 48.3541177055 159.908151795 48.2364217038 159.63052068C48.118802327 159.353070315 47.9976179992 159.076928934 47.8730522349 158.802073444C47.7488506981 158.528021625 47.6212874703 158.255248189 47.4905444613 157.983730245C47.3598014523 157.712212301 47.225878662 157.44194985 47.088958 157.17292C46.9522537898 156.90431657 46.812561193 156.636942103 46.6700612634 156.370773842C46.5278188475 156.105086578 46.382779236 155.840601163 46.235122503 155.577294961C46.0878010013 155.314586555 45.937874248 155.053052015 45.7855210937 154.792668859C45.6334573048 154.53278025 45.4789763229 154.274038656 45.3222559814 154.016421722C45.1656598859 153.759009024 45.0068279799 153.502719204 44.8459376742 153.247529961C44.6853871813 152.992879698 44.5227869745 152.739325368 44.3583133425 152.486844812C44.1939601158 152.234549087 44.027736206 151.983325565 43.8598175149 151.733152133C43.6918988238 151.482978702 43.5222853515 151.233855361 43.351153 150.98576C43.1798761738 150.73745624 43.0070778977 150.490182356 42.8329345167 150.243916187C42.6589501935 149.997874951 42.4836232214 149.75283959 42.3071294626 149.508788005C42.1302175451 149.2641582 41.9521333054 149.020516838 41.7730538588 148.777841661C41.5938345063 148.534976895 41.4136183913 148.293079825 41.2325830441 148.052128142C41.0513709046 147.810941155 40.8693379323 147.570701403 40.6866621782 147.33138651C40.503748565 147.09176001 40.3201904952 146.853060779 40.1361667162 146.615266357C39.9514219801 146.376540318 39.7662078787 146.13872619 39.5807052686 145.901801247C39.394476621 145.663949005 39.2079572019 145.426992921 39.02133 145.19091C38.8232020063 144.940279219 38.6161180185 144.696091869 38.4010246025 144.457704723C38.1871787207 144.220700214 37.96541605 143.989428822 37.7366667818 143.763258446C37.5098617334 143.53901037 37.2761883458 143.319776969 37.0365532931 143.104942121C36.7991798607 142.892134834 36.5559567618 142.683643468 36.3077652412 142.478869182C36.0619694996 142.276071571 35.8113007931 142.076919626 35.5566150922 141.88083168C35.303617729 141.686043622 35.046656453 141.494279075 34.7865703243 141.304967867C34.5284418068 141.117081562 34.2672352998 140.931611803 34.0037710594 140.748001193C33.7413339699 140.565106414 33.4766567169 140.384056317 33.21055 140.2043C32.9454225342 140.025205005 32.6788761006 139.847394315 32.411712487 139.670323108C32.1445571396 139.49325738 31.8767846505 139.31693109 31.6091967329 139.140799466C31.341311205 138.96447195 31.0736106595 138.788339533 30.8068994877 138.611855626C30.539010811 138.434592559 30.2721202632 138.256974891 30.0070429367 138.07844876C29.7402373841 137.89875869 29.4752687732 137.718148273 29.2129682431 137.536052743C28.9488201153 137.352674564 28.6873777876 137.167790277 28.4294900863 136.980823096C28.1687455473 136.791784723 27.911634826 136.600617053 27.6590352717 136.406723919C27.4034581195 136.210545209 27.1524991147 136.011576402 26.907067 135.8092C26.6581236238 135.603927773 26.4148664121 135.39514966 26.1782436703 135.182221273C25.9383830735 134.966379255 25.705339756 134.746272604 25.480101487 134.521230116C25.252260367 134.293587039 25.032405728 134.060893389 24.8215599805 133.822454423C24.6082461176 133.581224341 24.404153293 133.334113648 24.2103402434 133.080402917C24.0154677853 132.825305369 23.8309877907 132.563535432 23.6579764531 132.294361816C23.4851113591 132.025415729 23.3236955418 131.749078474 23.1748024678 131.464620615C23.0271750977 131.182580864 22.8918584703 130.892557984 22.7698989084 130.593840984C22.6502983323 130.300901876 22.5435431046 129.999601724 22.45062 129.68927C22.3629159316 129.396367812 22.2866431318 129.099565359 22.221411605 128.799492862C22.1565961872 128.501334515 22.102681628 128.199947711 22.0592853478 127.895950691C22.0161906055 127.594065985 21.983468478 127.289607212 21.9607443052 126.983179811C21.9381898905 126.679041538 21.9254846116 126.372963941 21.9222621423 126.065538994C21.9190667164 125.760693992 21.9251956064 125.45452416 21.9402916318 125.147606693C21.9552871437 124.842732766 21.9791307773 124.537121127 22.0114724394 124.231337517C22.0435529407 123.928023128 22.0839947804 123.624539535 22.1324562781 123.321438886C22.1806585193 123.019959746 22.2367948419 122.718859464 22.3005290197 122.418681373C22.3640147213 122.119673567 22.435039151 121.821580774 22.51327 121.52494C22.5911897344 121.229479844 22.6762586477 120.935460139 22.7681483906 120.643411485C22.8600349286 120.351373017 22.9587418205 120.061305462 23.0639407511 119.773739364C23.169246602 119.485880995 23.2810576948 119.20052917 23.3990447126 118.918216051C23.5172883697 118.63528886 23.6417348479 118.355413609 23.7720526767 118.079125942C23.9030878607 117.801317406 24.0400592127 117.527136059 24.1826297579 117.257126438C24.3262891989 116.985054594 24.4756336884 116.717218444 24.6303184715 116.454175097C24.7862716735 116.188974788 24.9476531093 115.928646208 25.1141094731 115.673760283C25.2824508965 115.415987865 25.4559828424 115.163782073 25.6343398653 114.917733451C25.8155056602 114.667810048 26.0016496997 114.424239269 26.192389 114.18764C26.3890543539 113.943689619 26.5950332956 113.711824078 26.8095671081 113.491032743C27.0271689186 113.267083922 27.2535720318 113.05452831 27.4879847122 112.852311292C27.7231690063 112.649428638 27.9664156844 112.456952753 28.2169251667 112.27381857C28.4669419943 112.091044542 28.724193088 111.91757551 28.9878835762 111.752352681C29.2499463082 111.58814977 29.5183691796 111.432091568 29.7923719482 111.28313877C30.0636851472 111.135648071 30.3404692381 110.995123968 30.6219667303 110.860557461C30.9006810255 110.727321428 31.1840159788 110.599925767 31.4712363464 110.47739111C31.7551749969 110.356256507 32.042910781 110.239872461 32.3337333702 110.127292793C32.621666431 110.015831684 32.9126252623 109.908099729 33.2059204989 109.803178673C33.4969332823 109.699074124 33.790246248 109.597736894 34.085186 109.49827C34.3788201047 109.399243601 34.6740666327 109.302070942 34.9702610911 109.205866905C35.2652079265 109.110068097 35.5610947235 109.015229767 35.8572653509 108.920477935C36.1525335834 108.826014801 36.4480839195 108.731637638 36.743266207 108.636480432C37.0391073836 108.54111082 37.3345788668 108.444957678 37.6290261412 108.347149178C37.9242402054 108.249085967 38.2184247194 108.149358765 38.5109200412 108.047088913C38.8049115723 107.944295918 39.0971965854 107.838934194 39.3871052636 107.730111531C39.6785808794 107.620700689 39.9676544031 107.507791394 40.253645098 107.390476892C40.542171461 107.272122248 40.8275600867 107.149283935 41.1091119705 107.021030863C41.3924595652 106.891959805 41.6719213212 106.757404699 41.9467847742 106.616416527C42.223804019 106.474322565 42.4961525476 106.32569423 42.763101 106.16956C43.0381759687 106.00867293 43.3138124833 105.854498748 43.589738266 105.705494085C43.8700792767 105.554105122 44.150718887 105.408052443 44.4313715383 105.265717396C44.7148486832 105.121949887 44.9983391328 104.981975216 45.2815486199 104.844125369C45.5668345401 104.705264835 45.8518353627 104.568560398 46.1362503004 104.432307084C46.4221799388 104.29532813 46.7075174352 104.158805118 46.991957171 104.02100569C47.2766273014 103.883094645 47.5603982163 103.743905115 47.8429635535 103.60170053C48.1251832574 103.45966989 48.4062003313 103.314631566 48.685709536 103.164855352C48.9630435717 103.016244712 49.2388931158 102.862969636 49.51296 102.70334C49.7844199951 102.545228105 50.0541310574 102.380881681 50.3218034487 102.208658391C50.5856241609 102.038913312 50.847464451 101.861516425 51.1070469091 101.674895277C51.3607207201 101.492522022 51.6122383155 101.301339654 51.8613408008 101.09988067C52.1035560335 100.903991678 52.3434878571 100.698386477 52.5808982632 100.481715951C52.8104547514 100.272213234 53.0376538877 100.0523652 53.2622805116 99.8209522463C53.4782497852 99.5984581954 53.69184102 99.3652734949 53.9028629866 99.1203141915C54.1046144132 98.8861163508 54.3040173572 98.6411557374 54.5009047014 98.3844850734C54.6887743047 98.1395703176 54.8743534677 97.8839936226 55.057497 97.616932C55.233765623 97.3598951504 55.3951459417 97.0864244595 55.5432116494 96.798180002C55.68516622 96.5218322992 55.8148825702 96.2319051826 55.9337474713 95.9298615442C56.0475863115 95.6405894616 56.1514719822 95.3402038593 56.2466226743 95.0299897953C56.3378866877 94.7324472357 56.4211147539 94.4258627538 56.4973817978 94.1113702778C56.5709053984 93.8081905821 56.637959767 93.4976615854 56.6995079511 93.1807991973C56.7591521143 92.8737390904 56.8136254961 92.5607313837 56.8638045036 92.2427005909C56.9125915476 91.933491958 56.9573191643 91.619535054 56.9987928305 91.301679569C57.0394642981 90.9899721592 57.077006476 90.6745155253 57.112179 90.356111C57.1467433594 90.0432125688 57.1790192933 89.7274673042 57.2097277101 89.4096356784C57.2400740048 89.0955520106 57.2688895336 88.7794308973 57.2968700009 88.4620062239C57.3246526907 88.1468252391 57.3516120824 87.8303590572 57.3784292319 87.513326111C57.4051829347 87.1970432327 57.4317950676 86.8801962688 57.4589418639 86.5634985647C57.4860678958 86.2470431008 57.5137277734 85.9307366686 57.5425961797 85.615290978C57.5716346283 85.2979872321 57.6018958845 84.9815543976 57.6340666237 84.6667168353C57.6665219725 84.3490939531 57.7009207396 84.0330946942 57.7379679867 83.7194628146C57.7754519401 83.4021338992 57.8156471811 83.0872285046 57.859284 82.775517C57.9037404336 82.4579510273 57.9517689228 82.1437000468 58.0041416806 81.8335786554C58.0575876072 81.5171025742 58.1155576631 81.2049270547 58.1788725106 80.8979178025C58.243831435 80.582936537 58.314416328 80.2733933241 58.3915134561 79.9702230742C58.471042815 79.6574885247 58.5575017814 79.3515353846 58.6518631746 79.0533898678C58.7492962278 78.7455390932 58.8551545624 78.446012524 58.9705091257 78.1559398879C59.0897067481 77.856203427 59.2190438765 77.5665613112 59.3597021001 77.2882599831C59.5052215114 77.0003404828 59.6628580605 76.7245591973 59.8339201275 76.4622963192C60.0090390024 76.1938137681 60.1982277294 75.9394984167 60.40289 75.700831C60.40289 75.700831 60.40289 75.700831 60.40289 75.700831"
+       style="fill:none;stroke:#000000;stroke-width:0.265;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1;stroke-miterlimit:4;stroke-dasharray:none" />
+    <circle
+       id="path891"
+       style="fill:#000000;stroke:none"
+       cx="84.406807"
+       cy="68.820488"
+       r="0.75" />
+    <circle
+       id="path893"
+       style="fill:#000000;stroke:none"
+       cx="85.847839"
+       cy="68.867737"
+       r="0.75" />
+    <circle
+       id="path895"
+       style="fill:#000000;stroke:none"
+       cx="87.099892"
+       cy="68.903175"
+       r="0.75" />
+    <circle
+       id="path897"
+       style="fill:#000000;stroke:none"
+       cx="88.340126"
+       cy="68.985855"
+       r="0.75" />
+    <circle
+       id="path899"
+       style="fill:#000000;stroke:none"
+       cx="89.74572"
+       cy="69.103973"
+       r="0.75" />
+    <circle
+       id="path901"
+       style="fill:#000000;stroke:none"
+       cx="90.915085"
+       cy="69.186653"
+       r="0.75" />
+    <circle
+       id="path903"
+       style="fill:#000000;stroke:none"
+       cx="92.119888"
+       cy="69.363831"
+       r="0.75" />
+    <circle
+       id="path905"
+       style="fill:#000000;stroke:none"
+       cx="93.206566"
+       cy="69.541008"
+       r="0.75" />
+    <circle
+       id="path907"
+       style="fill:#000000;stroke:none"
+       cx="94.647598"
+       cy="69.670937"
+       r="0.75" />
+    <circle
+       id="path909"
+       style="fill:#000000;stroke:none"
+       cx="95.98233"
+       cy="69.918983"
+       r="0.75" />
+    <circle
+       id="path911"
+       style="fill:#000000;stroke:none"
+       cx="97.163506"
+       cy="70.14341"
+       r="0.75" />
+    <circle
+       id="path913"
+       style="fill:#000000;stroke:none"
+       cx="98.32106"
+       cy="70.356018"
+       r="0.75" />
+    <circle
+       id="path915"
+       style="fill:#000000;stroke:none"
+       cx="99.502235"
+       cy="70.639503"
+       r="0.75" />
+    <circle
+       id="path917"
+       style="fill:#000000;stroke:none"
+       cx="100.68341"
+       cy="70.922981"
+       r="0.75" />
+    <circle
+       id="path919"
+       style="fill:#000000;stroke:none"
+       cx="101.77009"
+       cy="71.206467"
+       r="0.75" />
+    <circle
+       id="path921"
+       style="fill:#000000;stroke:none"
+       cx="103.04576"
+       cy="71.678932"
+       r="0.75" />
+    <circle
+       id="path923"
+       style="fill:#000000;stroke:none"
+       cx="104.08519"
+       cy="71.962418"
+       r="0.75" />
+    <circle
+       id="path925"
+       style="fill:#000000;stroke:none"
+       cx="105.12463"
+       cy="72.434891"
+       r="0.75" />
+    <circle
+       id="path927"
+       style="fill:#000000;stroke:none"
+       cx="106.21131"
+       cy="72.907356"
+       r="0.75" />
+    <circle
+       id="path929"
+       style="fill:#000000;stroke:none"
+       cx="107.39249"
+       cy="73.332581"
+       r="0.75" />
+    <circle
+       id="path931"
+       style="fill:#000000;stroke:none"
+       cx="108.43192"
+       cy="73.899544"
+       r="0.75" />
+    <circle
+       id="path933"
+       style="fill:#000000;stroke:none"
+       cx="109.32961"
+       cy="74.419266"
+       r="0.75" />
+    <circle
+       id="path935"
+       style="fill:#000000;stroke:none"
+       cx="110.22731"
+       cy="74.891731"
+       r="0.75" />
+    <circle
+       id="path937"
+       style="fill:#000000;stroke:none"
+       cx="111.03051"
+       cy="75.364204"
+       r="0.75" />
+    <circle
+       id="path939"
+       style="fill:#000000;stroke:none"
+       cx="111.88095"
+       cy="76.025658"
+       r="0.75" />
+    <circle
+       id="path941"
+       style="fill:#000000;stroke:none"
+       cx="112.7314"
+       cy="76.54538"
+       r="0.75" />
+    <circle
+       id="path943"
+       style="fill:#000000;stroke:none"
+       cx="113.48735"
+       cy="77.065094"
+       r="0.75" />
+    <circle
+       id="path945"
+       style="fill:#000000;stroke:none"
+       cx="114.38504"
+       cy="77.584816"
+       r="0.75" />
+    <circle
+       id="path947"
+       style="fill:#000000;stroke:none"
+       cx="115.18824"
+       cy="78.19902"
+       r="0.75" />
+    <circle
+       id="path949"
+       style="fill:#000000;stroke:none"
+       cx="115.9442"
+       cy="78.813232"
+       r="0.75" />
+    <circle
+       id="path951"
+       style="fill:#000000;stroke:none"
+       cx="116.6529"
+       cy="79.474693"
+       r="0.75" />
+    <circle
+       id="path953"
+       style="fill:#000000;stroke:none"
+       cx="117.4561"
+       cy="80.041656"
+       r="0.75" />
+    <circle
+       id="path955"
+       style="fill:#000000;stroke:none"
+       cx="118.16481"
+       cy="80.655869"
+       r="0.75" />
+    <circle
+       id="path957"
+       style="fill:#000000;stroke:none"
+       cx="118.77902"
+       cy="81.364571"
+       r="0.75" />
+    <circle
+       id="path959"
+       style="fill:#000000;stroke:none"
+       cx="119.53497"
+       cy="82.026031"
+       r="0.75" />
+    <circle
+       id="path961"
+       style="fill:#000000;stroke:none"
+       cx="120.19643"
+       cy="82.734741"
+       r="0.75" />
+    <circle
+       id="path963"
+       style="fill:#000000;stroke:none"
+       cx="120.85789"
+       cy="83.490692"
+       r="0.75" />
+    <circle
+       id="path965"
+       style="fill:#000000;stroke:none"
+       cx="121.4721"
+       cy="84.152145"
+       r="0.75" />
+    <circle
+       id="path967"
+       style="fill:#000000;stroke:none"
+       cx="122.13356"
+       cy="85.002594"
+       r="0.75" />
+    <circle
+       id="path969"
+       style="fill:#000000;stroke:none"
+       cx="122.79502"
+       cy="85.711304"
+       r="0.75" />
+    <circle
+       id="path971"
+       style="fill:#000000;stroke:none"
+       cx="123.36198"
+       cy="86.561745"
+       r="0.75" />
+    <circle
+       id="path973"
+       style="fill:#000000;stroke:none"
+       cx="123.83445"
+       cy="87.412193"
+       r="0.75" />
+    <circle
+       id="path975"
+       style="fill:#000000;stroke:none"
+       cx="124.35417"
+       cy="88.357132"
+       r="0.75" />
+    <circle
+       id="path977"
+       style="fill:#000000;stroke:none"
+       cx="124.87388"
+       cy="89.207581"
+       r="0.75" />
+    <circle
+       id="path979"
+       style="fill:#000000;stroke:none"
+       cx="125.25186"
+       cy="89.916283"
+       r="0.75" />
+    <circle
+       id="path981"
+       style="fill:#000000;stroke:none"
+       cx="125.62984"
+       cy="90.672241"
+       r="0.75" />
+    <circle
+       id="path983"
+       style="fill:#000000;stroke:none"
+       cx="126.10231"
+       cy="91.569931"
+       r="0.75" />
+    <circle
+       id="path985"
+       style="fill:#000000;stroke:none"
+       cx="126.48028"
+       cy="92.467628"
+       r="0.75" />
+    <circle
+       id="path987"
+       style="fill:#000000;stroke:none"
+       cx="126.90551"
+       cy="93.412567"
+       r="0.75" />
+    <circle
+       id="path989"
+       style="fill:#000000;stroke:none"
+       cx="127.28348"
+       cy="94.310257"
+       r="0.75" />
+    <circle
+       id="path991"
+       style="fill:#000000;stroke:none"
+       cx="127.56696"
+       cy="95.255203"
+       r="0.75" />
+    <circle
+       id="path993"
+       style="fill:#000000;stroke:none"
+       cx="127.89769"
+       cy="96.200142"
+       r="0.75" />
+    <circle
+       id="path995"
+       style="fill:#000000;stroke:none"
+       cx="128.08669"
+       cy="97.192329"
+       r="0.75" />
+    <circle
+       id="path997"
+       style="fill:#000000;stroke:none"
+       cx="128.22842"
+       cy="98.137268"
+       r="0.75" />
+    <circle
+       id="path999"
+       style="fill:#000000;stroke:none"
+       cx="128.46466"
+       cy="99.223953"
+       r="0.75" />
+    <circle
+       id="path1001"
+       style="fill:#000000;stroke:none"
+       cx="128.55914"
+       cy="100.31063"
+       r="0.75" />
+    <circle
+       id="path1003"
+       style="fill:#000000;stroke:none"
+       cx="128.6064"
+       cy="101.39731"
+       r="0.75" />
+    <circle
+       id="path1005"
+       style="fill:#000000;stroke:none"
+       cx="128.6064"
+       cy="102.3895"
+       r="0.75" />
+    <circle
+       id="path1007"
+       style="fill:#000000;stroke:none"
+       cx="128.51192"
+       cy="103.47618"
+       r="0.75" />
+    <circle
+       id="path1009"
+       style="fill:#000000;stroke:none"
+       cx="128.4174"
+       cy="104.65736"
+       r="0.75" />
+    <circle
+       id="path1011"
+       style="fill:#000000;stroke:none"
+       cx="128.32292"
+       cy="105.64954"
+       r="0.75" />
+    <circle
+       id="path1013"
+       style="fill:#000000;stroke:none"
+       cx="128.03943"
+       cy="106.54724"
+       r="0.75" />
+    <circle
+       id="path1015"
+       style="fill:#000000;stroke:none"
+       cx="127.89769"
+       cy="107.58667"
+       r="0.75" />
+    <circle
+       id="path1017"
+       style="fill:#000000;stroke:none"
+       cx="127.37798"
+       cy="108.57886"
+       r="0.75" />
+    <circle
+       id="path1019"
+       style="fill:#000000;stroke:none"
+       cx="126.90551"
+       cy="109.57105"
+       r="0.75" />
+    <circle
+       id="path1021"
+       style="fill:#000000;stroke:none"
+       cx="126.29129"
+       cy="110.56324"
+       r="0.75" />
+    <circle
+       id="path1023"
+       style="fill:#000000;stroke:none"
+       cx="125.72433"
+       cy="111.41368"
+       r="0.75" />
+    <circle
+       id="path1025"
+       style="fill:#000000;stroke:none"
+       cx="124.96838"
+       cy="112.21688"
+       r="0.75" />
+    <circle
+       id="path1027"
+       style="fill:#000000;stroke:none"
+       cx="124.25967"
+       cy="113.02008"
+       r="0.75" />
+    <circle
+       id="path1029"
+       style="fill:#000000;stroke:none"
+       cx="123.45647"
+       cy="113.77603"
+       r="0.75" />
+    <circle
+       id="path1031"
+       style="fill:#000000;stroke:none"
+       cx="122.55878"
+       cy="114.67373"
+       r="0.75" />
+    <circle
+       id="path1033"
+       style="fill:#000000;stroke:none"
+       cx="121.80283"
+       cy="115.42968"
+       r="0.75" />
+    <circle
+       id="path1035"
+       style="fill:#000000;stroke:none"
+       cx="120.99963"
+       cy="115.9494"
+       r="0.75" />
+    <circle
+       id="path1037"
+       style="fill:#000000;stroke:none"
+       cx="120.19643"
+       cy="116.70535"
+       r="0.75" />
+    <circle
+       id="path1039"
+       style="fill:#000000;stroke:none"
+       cx="119.29874"
+       cy="117.55579"
+       r="0.75" />
+    <circle
+       id="path1041"
+       style="fill:#000000;stroke:none"
+       cx="118.49554"
+       cy="118.07551"
+       r="0.75" />
+    <circle
+       id="path1043"
+       style="fill:#000000;stroke:none"
+       cx="117.59784"
+       cy="118.92596"
+       r="0.75" />
+    <circle
+       id="path1045"
+       style="fill:#000000;stroke:none"
+       cx="116.7474"
+       cy="119.49292"
+       r="0.75" />
+    <circle
+       id="path1047"
+       style="fill:#000000;stroke:none"
+       cx="115.89695"
+       cy="120.34337"
+       r="0.75" />
+    <circle
+       id="path1049"
+       style="fill:#000000;stroke:none"
+       cx="115.32999"
+       cy="121.05207"
+       r="0.75" />
+    <circle
+       id="path1051"
+       style="fill:#000000;stroke:none"
+       cx="114.47954"
+       cy="121.71353"
+       r="0.75" />
+    <circle
+       id="path1053"
+       style="fill:#000000;stroke:none"
+       cx="113.86533"
+       cy="122.51673"
+       r="0.75" />
+    <circle
+       id="path1055"
+       style="fill:#000000;stroke:none"
+       cx="113.25112"
+       cy="123.41443"
+       r="0.75" />
+    <circle
+       id="path1057"
+       style="fill:#000000;stroke:none"
+       cx="112.87314"
+       cy="124.26487"
+       r="0.75" />
+    <circle
+       id="path1059"
+       style="fill:#000000;stroke:none"
+       cx="112.25893"
+       cy="125.02082"
+       r="0.75" />
+    <circle
+       id="path1061"
+       style="fill:#000000;stroke:none"
+       cx="111.9282"
+       cy="125.91852"
+       r="0.75" />
+    <circle
+       id="path1063"
+       style="fill:#000000;stroke:none"
+       cx="111.73921"
+       cy="126.81621"
+       r="0.75" />
+    <circle
+       id="path1065"
+       style="fill:#000000;stroke:none"
+       cx="111.26674"
+       cy="127.7139"
+       r="0.75" />
+    <circle
+       id="path1067"
+       style="fill:#000000;stroke:none"
+       cx="111.03051"
+       cy="128.70609"
+       r="0.75" />
+    <circle
+       id="path1069"
+       style="fill:#000000;stroke:none"
+       cx="110.69978"
+       cy="129.65103"
+       r="0.75" />
+    <circle
+       id="path1071"
+       style="fill:#000000;stroke:none"
+       cx="110.41629"
+       cy="130.73772"
+       r="0.75" />
+    <circle
+       id="path1073"
+       style="fill:#000000;stroke:none"
+       cx="110.13281"
+       cy="131.91888"
+       r="0.75" />
+    <circle
+       id="path1075"
+       style="fill:#000000;stroke:none"
+       cx="110.03832"
+       cy="132.91109"
+       r="0.75" />
+    <circle
+       id="path1077"
+       style="fill:#000000;stroke:none"
+       cx="109.80208"
+       cy="133.95052"
+       r="0.75" />
+    <circle
+       id="path1079"
+       style="fill:#000000;stroke:none"
+       cx="109.75484"
+       cy="134.98994"
+       r="0.75" />
+    <circle
+       id="path1081"
+       style="fill:#000000;stroke:none"
+       cx="109.70759"
+       cy="136.02937"
+       r="0.75" />
+    <circle
+       id="path1083"
+       style="fill:#000000;stroke:none"
+       cx="109.56585"
+       cy="137.11606"
+       r="0.75" />
+    <circle
+       id="path1085"
+       style="fill:#000000;stroke:none"
+       cx="109.6131"
+       cy="138.43898"
+       r="0.75" />
+    <circle
+       id="path1087"
+       style="fill:#000000;stroke:none"
+       cx="109.66034"
+       cy="139.47841"
+       r="0.75" />
+    <circle
+       id="path1089"
+       style="fill:#000000;stroke:none"
+       cx="109.84933"
+       cy="140.65959"
+       r="0.75" />
+    <circle
+       id="path1091"
+       style="fill:#000000;stroke:none"
+       cx="110.03832"
+       cy="141.79352"
+       r="0.75" />
+    <circle
+       id="path1093"
+       style="fill:#000000;stroke:none"
+       cx="110.41629"
+       cy="142.8802"
+       r="0.75" />
+    <circle
+       id="path1095"
+       style="fill:#000000;stroke:none"
+       cx="110.60528"
+       cy="144.01413"
+       r="0.75" />
+    <circle
+       id="path1097"
+       style="fill:#000000;stroke:none"
+       cx="111.17225"
+       cy="144.95908"
+       r="0.75" />
+    <circle
+       id="path1099"
+       style="fill:#000000;stroke:none"
+       cx="111.50298"
+       cy="145.90401"
+       r="0.75" />
+    <circle
+       id="path1101"
+       style="fill:#000000;stroke:none"
+       cx="112.16443"
+       cy="146.75446"
+       r="0.75" />
+    <circle
+       id="path1103"
+       style="fill:#000000;stroke:none"
+       cx="112.82589"
+       cy="147.6994"
+       r="0.75" />
+    <circle
+       id="path1105"
+       style="fill:#000000;stroke:none"
+       cx="113.5346"
+       cy="148.45535"
+       r="0.75" />
+    <circle
+       id="path1107"
+       style="fill:#000000;stroke:none"
+       cx="114.3378"
+       cy="149.16405"
+       r="0.75" />
+    <circle
+       id="path1109"
+       style="fill:#000000;stroke:none"
+       cx="115.141"
+       cy="149.77827"
+       r="0.75" />
+    <circle
+       id="path1111"
+       style="fill:#000000;stroke:none"
+       cx="116.03869"
+       cy="150.39249"
+       r="0.75" />
+    <circle
+       id="path1113"
+       style="fill:#000000;stroke:none"
+       cx="116.93638"
+       cy="151.00668"
+       r="0.75" />
+    <circle
+       id="path1115"
+       style="fill:#000000;stroke:none"
+       cx="117.92857"
+       cy="151.6209"
+       r="0.75" />
+    <circle
+       id="path1117"
+       style="fill:#000000;stroke:none"
+       cx="118.92076"
+       cy="152.23511"
+       r="0.75" />
+    <circle
+       id="path1119"
+       style="fill:#000000;stroke:none"
+       cx="119.8657"
+       cy="152.75484"
+       r="0.75" />
+    <circle
+       id="path1121"
+       style="fill:#000000;stroke:none"
+       cx="120.81064"
+       cy="153.32179"
+       r="0.75" />
+    <circle
+       id="path1123"
+       style="fill:#000000;stroke:none"
+       cx="121.80283"
+       cy="153.936"
+       r="0.75" />
+    <circle
+       id="path1125"
+       style="fill:#000000;stroke:none"
+       cx="122.65327"
+       cy="154.55022"
+       r="0.75" />
+    <circle
+       id="path1127"
+       style="fill:#000000;stroke:none"
+       cx="123.64546"
+       cy="155.21167"
+       r="0.75" />
+    <circle
+       id="path1129"
+       style="fill:#000000;stroke:none"
+       cx="124.35417"
+       cy="155.96764"
+       r="0.75" />
+    <circle
+       id="path1131"
+       style="fill:#000000;stroke:none"
+       cx="125.11012"
+       cy="156.86533"
+       r="0.75" />
+    <circle
+       id="path1133"
+       style="fill:#000000;stroke:none"
+       cx="125.77158"
+       cy="157.66852"
+       r="0.75" />
+    <circle
+       id="path1135"
+       style="fill:#000000;stroke:none"
+       cx="126.24405"
+       cy="158.51897"
+       r="0.75" />
+    <circle
+       id="path1137"
+       style="fill:#000000;stroke:none"
+       cx="126.76377"
+       cy="159.51115"
+       r="0.75" />
+    <circle
+       id="path1139"
+       style="fill:#000000;stroke:none"
+       cx="127.37798"
+       cy="160.59782"
+       r="0.75" />
+    <circle
+       id="path1141"
+       style="fill:#000000;stroke:none"
+       cx="127.94494"
+       cy="161.63727"
+       r="0.75" />
+    <circle
+       id="path1143"
+       style="fill:#000000;stroke:none"
+       cx="128.46466"
+       cy="162.72395"
+       r="0.75" />
+    <circle
+       id="path1145"
+       style="fill:#000000;stroke:none"
+       cx="128.79539"
+       cy="163.85788"
+       r="0.75" />
+    <circle
+       id="path1147"
+       style="fill:#000000;stroke:none"
+       cx="129.03162"
+       cy="164.94456"
+       r="0.75" />
+    <circle
+       id="path1149"
+       style="fill:#000000;stroke:none"
+       cx="129.26785"
+       cy="166.12573"
+       r="0.75" />
+    <circle
+       id="path1151"
+       style="fill:#000000;stroke:none"
+       cx="129.26785"
+       cy="167.30692"
+       r="0.75" />
+    <circle
+       id="path1153"
+       style="fill:#000000;stroke:none"
+       cx="129.26785"
+       cy="168.53532"
+       r="0.75" />
+    <circle
+       id="path1155"
+       style="fill:#000000;stroke:none"
+       cx="129.07887"
+       cy="169.57477"
+       r="0.75" />
+    <circle
+       id="path1157"
+       style="fill:#000000;stroke:none"
+       cx="128.84264"
+       cy="170.66145"
+       r="0.75" />
+    <circle
+       id="path1159"
+       style="fill:#000000;stroke:none"
+       cx="128.55914"
+       cy="171.74812"
+       r="0.75" />
+    <circle
+       id="path1161"
+       style="fill:#000000;stroke:none"
+       cx="128.22842"
+       cy="172.69307"
+       r="0.75" />
+    <circle
+       id="path1163"
+       style="fill:#000000;stroke:none"
+       cx="127.75595"
+       cy="173.87425"
+       r="0.75" />
+    <circle
+       id="path1165"
+       style="fill:#000000;stroke:none"
+       cx="127.09449"
+       cy="174.91368"
+       r="0.75" />
+    <circle
+       id="path1167"
+       style="fill:#000000;stroke:none"
+       cx="126.52753"
+       cy="176.09486"
+       r="0.75" />
+    <circle
+       id="path1169"
+       style="fill:#000000;stroke:none"
+       cx="125.86607"
+       cy="177.13429"
+       r="0.75" />
+    <circle
+       id="path1171"
+       style="fill:#000000;stroke:none"
+       cx="125.15737"
+       cy="178.31548"
+       r="0.75" />
+    <circle
+       id="path1173"
+       style="fill:#000000;stroke:none"
+       cx="124.35417"
+       cy="179.21317"
+       r="0.75" />
+    <circle
+       id="path1175"
+       style="fill:#000000;stroke:none"
+       cx="123.55097"
+       cy="180.25259"
+       r="0.75" />
+    <circle
+       id="path1177"
+       style="fill:#000000;stroke:none"
+       cx="122.55878"
+       cy="181.24478"
+       r="0.75" />
+    <circle
+       id="path1179"
+       style="fill:#000000;stroke:none"
+       cx="121.70833"
+       cy="182.23697"
+       r="0.75" />
+    <circle
+       id="path1181"
+       style="fill:#000000;stroke:none"
+       cx="120.90513"
+       cy="183.08742"
+       r="0.75" />
+    <circle
+       id="path1183"
+       style="fill:#000000;stroke:none"
+       cx="119.91295"
+       cy="184.07961"
+       r="0.75" />
+    <circle
+       id="path1185"
+       style="fill:#000000;stroke:none"
+       cx="118.87351"
+       cy="184.8828"
+       r="0.75" />
+    <circle
+       id="path1187"
+       style="fill:#000000;stroke:none"
+       cx="117.73958"
+       cy="185.87498"
+       r="0.75" />
+    <circle
+       id="path1189"
+       style="fill:#000000;stroke:none"
+       cx="116.7474"
+       cy="186.86719"
+       r="0.75" />
+    <circle
+       id="path1191"
+       style="fill:#000000;stroke:none"
+       cx="115.61347"
+       cy="187.62312"
+       r="0.75" />
+    <circle
+       id="path1193"
+       style="fill:#000000;stroke:none"
+       cx="114.52679"
+       cy="188.37907"
+       r="0.75" />
+    <circle
+       id="path1195"
+       style="fill:#000000;stroke:none"
+       cx="113.39286"
+       cy="189.13504"
+       r="0.75" />
+    <circle
+       id="path1197"
+       style="fill:#000000;stroke:none"
+       cx="112.11719"
+       cy="189.60751"
+       r="0.75" />
+    <circle
+       id="path1199"
+       style="fill:#000000;stroke:none"
+       cx="110.74702"
+       cy="190.26897"
+       r="0.75" />
+    <circle
+       id="path1201"
+       style="fill:#000000;stroke:none"
+       cx="109.56585"
+       cy="190.64694"
+       r="0.75" />
+    <circle
+       id="path1203"
+       style="fill:#000000;stroke:none"
+       cx="108.0067"
+       cy="191.16666"
+       r="0.75" />
+    <circle
+       id="path1205"
+       style="fill:#000000;stroke:none"
+       cx="107.01451"
+       cy="191.45013"
+       r="0.75" />
+    <circle
+       id="path1207"
+       style="fill:#000000;stroke:none"
+       cx="105.97507"
+       cy="191.82812"
+       r="0.75" />
+    <circle
+       id="path1209"
+       style="fill:#000000;stroke:none"
+       cx="104.93564"
+       cy="192.1116"
+       r="0.75" />
+    <circle
+       id="path1211"
+       style="fill:#000000;stroke:none"
+       cx="103.61272"
+       cy="192.44234"
+       r="0.75" />
+    <circle
+       id="path1213"
+       style="fill:#000000;stroke:none"
+       cx="102.3843"
+       cy="192.77306"
+       r="0.75" />
+    <circle
+       id="path1215"
+       style="fill:#000000;stroke:none"
+       cx="100.91964"
+       cy="193.05653"
+       r="0.75" />
+    <circle
+       id="path1217"
+       style="fill:#000000;stroke:none"
+       cx="99.549477"
+       cy="193.34003"
+       r="0.75" />
+    <circle
+       id="path1219"
+       style="fill:#000000;stroke:none"
+       cx="98.132072"
+       cy="193.57626"
+       r="0.75" />
+    <circle
+       id="path1221"
+       style="fill:#000000;stroke:none"
+       cx="96.620163"
+       cy="193.85974"
+       r="0.75" />
+    <circle
+       id="path1223"
+       style="fill:#000000;stroke:none"
+       cx="95.061012"
+       cy="194.00148"
+       r="0.75" />
+    <circle
+       id="path1225"
+       style="fill:#000000;stroke:none"
+       cx="93.785339"
+       cy="194.28496"
+       r="0.75" />
+    <circle
+       id="path1227"
+       style="fill:#000000;stroke:none"
+       cx="92.509674"
+       cy="194.4267"
+       r="0.75" />
+    <circle
+       id="path1229"
+       style="fill:#000000;stroke:none"
+       cx="91.186752"
+       cy="194.4267"
+       r="0.75" />
+    <circle
+       id="path1231"
+       style="fill:#000000;stroke:none"
+       cx="89.67485"
+       cy="194.4267"
+       r="0.75" />
+    <circle
+       id="path1233"
+       style="fill:#000000;stroke:none"
+       cx="88.068451"
+       cy="194.23772"
+       r="0.75" />
+    <circle
+       id="path1235"
+       style="fill:#000000;stroke:none"
+       cx="86.603798"
+       cy="194.23772"
+       r="0.75" />
+    <circle
+       id="path1237"
+       style="fill:#000000;stroke:none"
+       cx="85.091888"
+       cy="194.00148"
+       r="0.75" />
+    <circle
+       id="path1239"
+       style="fill:#000000;stroke:none"
+       cx="83.579987"
+       cy="193.85974"
+       r="0.75" />
+    <circle
+       id="path1241"
+       style="fill:#000000;stroke:none"
+       cx="81.831848"
+       cy="193.57626"
+       r="0.75" />
+    <circle
+       id="path1243"
+       style="fill:#000000;stroke:none"
+       cx="80.08371"
+       cy="193.43452"
+       r="0.75" />
+    <circle
+       id="path1245"
+       style="fill:#000000;stroke:none"
+       cx="78.666298"
+       cy="193.15103"
+       r="0.75" />
+    <circle
+       id="path1247"
+       style="fill:#000000;stroke:none"
+       cx="77.01265"
+       cy="192.86755"
+       r="0.75" />
+    <circle
+       id="path1249"
+       style="fill:#000000;stroke:none"
+       cx="75.595238"
+       cy="192.58408"
+       r="0.75" />
+    <circle
+       id="path1251"
+       style="fill:#000000;stroke:none"
+       cx="74.130585"
+       cy="192.39508"
+       r="0.75" />
+    <circle
+       id="path1253"
+       style="fill:#000000;stroke:none"
+       cx="72.524185"
+       cy="191.92261"
+       r="0.75" />
+    <circle
+       id="path1255"
+       style="fill:#000000;stroke:none"
+       cx="70.823288"
+       cy="191.54463"
+       r="0.75" />
+    <circle
+       id="path1257"
+       style="fill:#000000;stroke:none"
+       cx="69.453125"
+       cy="191.16666"
+       r="0.75" />
+    <circle
+       id="path1259"
+       style="fill:#000000;stroke:none"
+       cx="68.17746"
+       cy="190.88318"
+       r="0.75" />
+    <circle
+       id="path1261"
+       style="fill:#000000;stroke:none"
+       cx="66.901787"
+       cy="190.45795"
+       r="0.75" />
+    <circle
+       id="path1263"
+       style="fill:#000000;stroke:none"
+       cx="65.86235"
+       cy="190.03273"
+       r="0.75" />
+    <circle
+       id="path1265"
+       style="fill:#000000;stroke:none"
+       cx="64.681175"
+       cy="189.60751"
+       r="0.75" />
+    <circle
+       id="path1267"
+       style="fill:#000000;stroke:none"
+       cx="63.452751"
+       cy="188.8988"
+       r="0.75" />
+    <circle
+       id="path1269"
+       style="fill:#000000;stroke:none"
+       cx="62.224331"
+       cy="188.33183"
+       r="0.75" />
+    <circle
+       id="path1271"
+       style="fill:#000000;stroke:none"
+       cx="61.232143"
+       cy="187.76488"
+       r="0.75" />
+    <circle
+       id="path1273"
+       style="fill:#000000;stroke:none"
+       cx="60.050968"
+       cy="187.05617"
+       r="0.75" />
+    <circle
+       id="path1275"
+       style="fill:#000000;stroke:none"
+       cx="59.06823"
+       cy="186.6026"
+       r="0.75" />
+    <circle
+       id="path1277"
+       style="fill:#000000;stroke:none"
+       cx="58.076042"
+       cy="185.74271"
+       r="0.75" />
+    <circle
+       id="path1279"
+       style="fill:#000000;stroke:none"
+       cx="56.885414"
+       cy="185.08124"
+       r="0.75" />
+    <circle
+       id="path1281"
+       style="fill:#000000;stroke:none"
+       cx="55.69479"
+       cy="184.1552"
+       r="0.75" />
+    <circle
+       id="path1283"
+       style="fill:#000000;stroke:none"
+       cx="54.702602"
+       cy="183.16301"
+       r="0.75" />
+    <circle
+       id="path1285"
+       style="fill:#000000;stroke:none"
+       cx="53.578125"
+       cy="182.17084"
+       r="0.75" />
+    <circle
+       id="path1287"
+       style="fill:#000000;stroke:none"
+       cx="52.585938"
+       cy="181.04636"
+       r="0.75" />
+    <circle
+       id="path1289"
+       style="fill:#000000;stroke:none"
+       cx="51.659897"
+       cy="180.05415"
+       r="0.75" />
+    <circle
+       id="path1291"
+       style="fill:#000000;stroke:none"
+       cx="50.932293"
+       cy="178.73125"
+       r="0.75" />
+    <circle
+       id="path1293"
+       style="fill:#000000;stroke:none"
+       cx="49.940105"
+       cy="177.34218"
+       r="0.75" />
+    <circle
+       id="path1295"
+       style="fill:#000000;stroke:none"
+       cx="49.477081"
+       cy="176.2177"
+       r="0.75" />
+    <circle
+       id="path1297"
+       style="fill:#000000;stroke:none"
+       cx="49.146355"
+       cy="175.02708"
+       r="0.75" />
+    <circle
+       id="path1299"
+       style="fill:#000000;stroke:none"
+       cx="48.947918"
+       cy="173.96873"
+       r="0.75" />
+    <circle
+       id="path1301"
+       style="fill:#000000;stroke:none"
+       cx="48.947918"
+       cy="172.57968"
+       r="0.75" />
+    <circle
+       id="path1303"
+       style="fill:#000000;stroke:none"
+       cx="49.146355"
+       cy="170.85989"
+       r="0.75" />
+    <circle
+       id="path1305"
+       style="fill:#000000;stroke:none"
+       cx="49.477081"
+       cy="169.60312"
+       r="0.75" />
+    <circle
+       id="path1307"
+       style="fill:#000000;stroke:none"
+       cx="49.807812"
+       cy="168.1479"
+       r="0.75" />
+    <circle
+       id="path1309"
+       style="fill:#000000;stroke:none"
+       cx="49.807812"
+       cy="166.6927"
+       r="0.75" />
+    <circle
+       id="path1311"
+       style="fill:#000000;stroke:none"
+       cx="49.807812"
+       cy="165.17136"
+       r="0.75" />
+    <circle
+       id="path1313"
+       style="fill:#000000;stroke:none"
+       cx="49.807812"
+       cy="163.91458"
+       r="0.75" />
+    <circle
+       id="path1315"
+       style="fill:#000000;stroke:none"
+       cx="49.146355"
+       cy="162.52551"
+       r="0.75" />
+    <circle
+       id="path1317"
+       style="fill:#000000;stroke:none"
+       cx="48.749477"
+       cy="161.26874"
+       r="0.75" />
+    <circle
+       id="path1319"
+       style="fill:#000000;stroke:none"
+       cx="48.286457"
+       cy="159.68124"
+       r="0.75" />
+    <circle
+       id="path1321"
+       style="fill:#000000;stroke:none"
+       cx="47.492706"
+       cy="158.1599"
+       r="0.75" />
+    <circle
+       id="path1323"
+       style="fill:#000000;stroke:none"
+       cx="46.963543"
+       cy="156.90312"
+       r="0.75" />
+    <circle
+       id="path1325"
+       style="fill:#000000;stroke:none"
+       cx="46.235935"
+       cy="155.5802"
+       r="0.75" />
+    <circle
+       id="path1327"
+       style="fill:#000000;stroke:none"
+       cx="45.243752"
+       cy="154.12498"
+       r="0.75" />
+    <circle
+       id="path1329"
+       style="fill:#000000;stroke:none"
+       cx="44.648438"
+       cy="153.0005"
+       r="0.75" />
+    <circle
+       id="path1331"
+       style="fill:#000000;stroke:none"
+       cx="43.788544"
+       cy="151.80989"
+       r="0.75" />
+    <circle
+       id="path1333"
+       style="fill:#000000;stroke:none"
+       cx="42.994793"
+       cy="150.35468"
+       r="0.75" />
+    <circle
+       id="path1335"
+       style="fill:#000000;stroke:none"
+       cx="41.738022"
+       cy="148.83333"
+       r="0.75" />
+    <circle
+       id="path1337"
+       style="fill:#000000;stroke:none"
+       cx="40.944271"
+       cy="147.70885"
+       r="0.75" />
+    <circle
+       id="path1339"
+       style="fill:#000000;stroke:none"
+       cx="40.084373"
+       cy="146.45209"
+       r="0.75" />
+    <circle
+       id="path1341"
+       style="fill:#000000;stroke:none"
+       cx="39.158333"
+       cy="145.52603"
+       r="0.75" />
+    <circle
+       id="path1343"
+       style="fill:#000000;stroke:none"
+       cx="38.364582"
+       cy="144.40155"
+       r="0.75" />
+    <circle
+       id="path1345"
+       style="fill:#000000;stroke:none"
+       cx="37.306252"
+       cy="143.34322"
+       r="0.75" />
+    <circle
+       id="path1347"
+       style="fill:#000000;stroke:none"
+       cx="36.31406"
+       cy="142.35103"
+       r="0.75" />
+    <circle
+       id="path1349"
+       style="fill:#000000;stroke:none"
+       cx="35.123436"
+       cy="141.55728"
+       r="0.75" />
+    <circle
+       id="path1351"
+       style="fill:#000000;stroke:none"
+       cx="34.131248"
+       cy="140.89583"
+       r="0.75" />
+    <circle
+       id="path1353"
+       style="fill:#000000;stroke:none"
+       cx="33.139061"
+       cy="140.03593"
+       r="0.75" />
+    <circle
+       id="path1355"
+       style="fill:#000000;stroke:none"
+       cx="32.08073"
+       cy="139.44061"
+       r="0.75" />
+    <circle
+       id="path1357"
+       style="fill:#000000;stroke:none"
+       cx="31.088543"
+       cy="138.64687"
+       r="0.75" />
+    <circle
+       id="path1359"
+       style="fill:#000000;stroke:none"
+       cx="30.1625"
+       cy="138.05154"
+       r="0.75" />
+    <circle
+       id="path1361"
+       style="fill:#000000;stroke:none"
+       cx="28.971874"
+       cy="137.2578"
+       r="0.75" />
+    <circle
+       id="path1363"
+       style="fill:#000000;stroke:none"
+       cx="27.715103"
+       cy="136.3979"
+       r="0.75" />
+    <circle
+       id="path1365"
+       style="fill:#000000;stroke:none"
+       cx="26.590626"
+       cy="135.47186"
+       r="0.75" />
+    <circle
+       id="path1367"
+       style="fill:#000000;stroke:none"
+       cx="25.135418"
+       cy="134.28123"
+       r="0.75" />
+    <circle
+       id="path1369"
+       style="fill:#000000;stroke:none"
+       cx="24.27552"
+       cy="133.22292"
+       r="0.75" />
+    <circle
+       id="path1371"
+       style="fill:#000000;stroke:none"
+       cx="23.415625"
+       cy="132.09843"
+       r="0.75" />
+    <circle
+       id="path1373"
+       style="fill:#000000;stroke:none"
+       cx="22.952604"
+       cy="130.97395"
+       r="0.75" />
+    <circle
+       id="path1375"
+       style="fill:#000000;stroke:none"
+       cx="22.291145"
+       cy="129.51874"
+       r="0.75" />
+    <circle
+       id="path1377"
+       style="fill:#000000;stroke:none"
+       cx="22.092709"
+       cy="128.06354"
+       r="0.75" />
+    <circle
+       id="path1379"
+       style="fill:#000000;stroke:none"
+       cx="21.828125"
+       cy="126.40989"
+       r="0.75" />
+    <circle
+       id="path1381"
+       style="fill:#000000;stroke:none"
+       cx="21.828125"
+       cy="124.82239"
+       r="0.75" />
+    <circle
+       id="path1383"
+       style="fill:#000000;stroke:none"
+       cx="22.026562"
+       cy="123.30103"
+       r="0.75" />
+    <circle
+       id="path1385"
+       style="fill:#000000;stroke:none"
+       cx="22.357292"
+       cy="121.5151"
+       r="0.75" />
+    <circle
+       id="path1387"
+       style="fill:#000000;stroke:none"
+       cx="22.820312"
+       cy="120.39062"
+       r="0.75" />
+    <circle
+       id="path1389"
+       style="fill:#000000;stroke:none"
+       cx="23.481771"
+       cy="118.86926"
+       r="0.75" />
+    <circle
+       id="path1391"
+       style="fill:#000000;stroke:none"
+       cx="24.010937"
+       cy="117.54635"
+       r="0.75" />
+    <circle
+       id="path1393"
+       style="fill:#000000;stroke:none"
+       cx="24.870832"
+       cy="116.42187"
+       r="0.75" />
+    <circle
+       id="path1395"
+       style="fill:#000000;stroke:none"
+       cx="25.466146"
+       cy="115.23124"
+       r="0.75" />
+    <circle
+       id="path1397"
+       style="fill:#000000;stroke:none"
+       cx="26.19375"
+       cy="114.10676"
+       r="0.75" />
+    <circle
+       id="path1399"
+       style="fill:#000000;stroke:none"
+       cx="27.119793"
+       cy="113.18072"
+       r="0.75" />
+    <circle
+       id="path1401"
+       style="fill:#000000;stroke:none"
+       cx="28.376562"
+       cy="112.05624"
+       r="0.75" />
+    <circle
+       id="path1403"
+       style="fill:#000000;stroke:none"
+       cx="29.501041"
+       cy="111.39478"
+       r="0.75" />
+    <circle
+       id="path1405"
+       style="fill:#000000;stroke:none"
+       cx="30.823957"
+       cy="110.66718"
+       r="0.75" />
+    <circle
+       id="path1407"
+       style="fill:#000000;stroke:none"
+       cx="32.21302"
+       cy="110.13801"
+       r="0.75" />
+    <circle
+       id="path1409"
+       style="fill:#000000;stroke:none"
+       cx="33.535938"
+       cy="109.5427"
+       r="0.75" />
+    <circle
+       id="path1411"
+       style="fill:#000000;stroke:none"
+       cx="34.660416"
+       cy="109.34426"
+       r="0.75" />
+    <circle
+       id="path1413"
+       style="fill:#000000;stroke:none"
+       cx="35.983334"
+       cy="108.8151"
+       r="0.75" />
+    <circle
+       id="path1415"
+       style="fill:#000000;stroke:none"
+       cx="37.173958"
+       cy="108.48437"
+       r="0.75" />
+    <circle
+       id="path1417"
+       style="fill:#000000;stroke:none"
+       cx="38.364582"
+       cy="107.88905"
+       r="0.75" />
+    <circle
+       id="path1419"
+       style="fill:#000000;stroke:none"
+       cx="39.621353"
+       cy="107.55833"
+       r="0.75" />
+    <circle
+       id="path1421"
+       style="fill:#000000;stroke:none"
+       cx="40.944271"
+       cy="107.0953"
+       r="0.75" />
+    <circle
+       id="path1423"
+       style="fill:#000000;stroke:none"
+       cx="42.333332"
+       cy="106.43385"
+       r="0.75" />
+    <circle
+       id="path1425"
+       style="fill:#000000;stroke:none"
+       cx="43.523956"
+       cy="105.70624"
+       r="0.75" />
+    <circle
+       id="path1427"
+       style="fill:#000000;stroke:none"
+       cx="44.582291"
+       cy="104.97864"
+       r="0.75" />
+    <circle
+       id="path1429"
+       style="fill:#000000;stroke:none"
+       cx="45.971355"
+       cy="104.51562"
+       r="0.75" />
+    <circle
+       id="path1431"
+       style="fill:#000000;stroke:none"
+       cx="47.029686"
+       cy="104.0526"
+       r="0.75" />
+    <circle
+       id="path1433"
+       style="fill:#000000;stroke:none"
+       cx="48.154167"
+       cy="103.45728"
+       r="0.75" />
+    <circle
+       id="path1435"
+       style="fill:#000000;stroke:none"
+       cx="49.344791"
+       cy="102.72968"
+       r="0.75" />
+    <circle
+       id="path1437"
+       style="fill:#000000;stroke:none"
+       cx="50.733852"
+       cy="101.86978"
+       r="0.75" />
+    <circle
+       id="path1439"
+       style="fill:#000000;stroke:none"
+       cx="51.92448"
+       cy="100.94374"
+       r="0.75" />
+    <circle
+       id="path1441"
+       style="fill:#000000;stroke:none"
+       cx="52.916664"
+       cy="100.08385"
+       r="0.75" />
+    <circle
+       id="path1443"
+       style="fill:#000000;stroke:none"
+       cx="53.908855"
+       cy="99.09166"
+       r="0.75" />
+    <circle
+       id="path1445"
+       style="fill:#000000;stroke:none"
+       cx="54.768749"
+       cy="98.165619"
+       r="0.75" />
+    <circle
+       id="path1447"
+       style="fill:#000000;stroke:none"
+       cx="55.5625"
+       cy="96.842705"
+       r="0.75" />
+    <circle
+       id="path1449"
+       style="fill:#000000;stroke:none"
+       cx="55.959373"
+       cy="95.78437"
+       r="0.75" />
+    <circle
+       id="path1451"
+       style="fill:#000000;stroke:none"
+       cx="56.356251"
+       cy="94.329163"
+       r="0.75" />
+    <circle
+       id="path1453"
+       style="fill:#000000;stroke:none"
+       cx="56.819271"
+       cy="93.006241"
+       r="0.75" />
+    <circle
+       id="path1455"
+       style="fill:#000000;stroke:none"
+       cx="56.951561"
+       cy="91.88176"
+       r="0.75" />
+    <circle
+       id="path1457"
+       style="fill:#000000;stroke:none"
+       cx="57.083855"
+       cy="90.558846"
+       r="0.75" />
+    <circle
+       id="path1459"
+       style="fill:#000000;stroke:none"
+       cx="57.083855"
+       cy="89.235931"
+       r="0.75" />
+    <circle
+       id="path1461"
+       style="fill:#000000;stroke:none"
+       cx="57.216145"
+       cy="87.979156"
+       r="0.75" />
+    <circle
+       id="path1463"
+       style="fill:#000000;stroke:none"
+       cx="57.216145"
+       cy="86.523949"
+       r="0.75" />
+    <circle
+       id="path1465"
+       style="fill:#000000;stroke:none"
+       cx="57.613022"
+       cy="85.201035"
+       r="0.75" />
+    <circle
+       id="path1467"
+       style="fill:#000000;stroke:none"
+       cx="57.745312"
+       cy="84.1427"
+       r="0.75" />
+    <circle
+       id="path1469"
+       style="fill:#000000;stroke:none"
+       cx="57.877605"
+       cy="83.018219"
+       r="0.75" />
+    <circle
+       id="path1471"
+       style="fill:#000000;stroke:none"
+       cx="57.943748"
+       cy="82.092178"
+       r="0.75" />
+    <circle
+       id="path1473"
+       style="fill:#000000;stroke:none"
+       cx="57.943748"
+       cy="80.967705"
+       r="0.75" />
+    <circle
+       id="path1475"
+       style="fill:#000000;stroke:none"
+       cx="58.472916"
+       cy="79.644783"
+       r="0.75" />
+    <circle
+       id="path1477"
+       style="fill:#000000;stroke:none"
+       cx="58.935936"
+       cy="78.586449"
+       r="0.75" />
+    <circle
+       id="path1479"
+       style="fill:#000000;stroke:none"
+       cx="59.398956"
+       cy="77.329681"
+       r="0.75" />
+    <circle
+       id="path1485"
+       style="fill:#000000;stroke:none"
+       cx="60.402889"
+       cy="75.700829"
+       r="0.75" />
+    <circle
+       id="path1487"
+       style="fill:#000000;stroke:none"
+       cx="60.402912"
+       cy="75.700829"
+       r="0.75" />
+    <circle
+       id="path1491"
+       style="fill:#000000;stroke:none"
+       cx="61.184895"
+       cy="74.617699"
+       r="0.75" />
+    <circle
+       id="path1493"
+       style="fill:#000000;stroke:none"
+       cx="62.243229"
+       cy="73.823952"
+       r="0.75" />
+    <circle
+       id="path1495"
+       style="fill:#000000;stroke:none"
+       cx="63.103127"
+       cy="72.897911"
+       r="0.75" />
+    <circle
+       id="path1497"
+       style="fill:#000000;stroke:none"
+       cx="64.227608"
+       cy="72.104156"
+       r="0.75" />
+    <circle
+       id="path1499"
+       style="fill:#000000;stroke:none"
+       cx="65.352081"
+       cy="71.508842"
+       r="0.75" />
+    <circle
+       id="path1501"
+       style="fill:#000000;stroke:none"
+       cx="66.741142"
+       cy="70.979683"
+       r="0.75" />
+    <circle
+       id="path1503"
+       style="fill:#000000;stroke:none"
+       cx="67.997917"
+       cy="70.516663"
+       r="0.75" />
+    <circle
+       id="path1505"
+       style="fill:#000000;stroke:none"
+       cx="69.188538"
+       cy="70.318222"
+       r="0.75" />
+    <circle
+       id="path1507"
+       style="fill:#000000;stroke:none"
+       cx="70.511459"
+       cy="69.987495"
+       r="0.75" />
+    <circle
+       id="path1509"
+       style="fill:#000000;stroke:none"
+       cx="71.966667"
+       cy="69.855202"
+       r="0.75" />
+    <circle
+       id="path1511"
+       style="fill:#000000;stroke:none"
+       cx="73.223434"
+       cy="69.524467"
+       r="0.75" />
+    <circle
+       id="path1513"
+       style="fill:#000000;stroke:none"
+       cx="74.546356"
+       cy="69.524467"
+       r="0.75" />
+    <circle
+       id="path1515"
+       style="fill:#000000;stroke:none"
+       cx="75.86927"
+       cy="69.127594"
+       r="0.75" />
+    <circle
+       id="path1517"
+       style="fill:#000000;stroke:none"
+       cx="77.126038"
+       cy="68.995308"
+       r="0.75" />
+    <circle
+       id="path1519"
+       style="fill:#000000;stroke:none"
+       cx="78.448959"
+       cy="68.730721"
+       r="0.75" />
+    <circle
+       id="path1521"
+       style="fill:#000000;stroke:none"
+       cx="79.63958"
+       cy="68.664574"
+       r="0.75" />
+    <circle
+       id="path1523"
+       style="fill:#000000;stroke:none"
+       cx="80.896355"
+       cy="68.796867"
+       r="0.75" />
+    <circle
+       id="path1525"
+       style="fill:#000000;stroke:none"
+       cx="82.153122"
+       cy="68.796867"
+       r="0.75" />
+    <circle
+       id="path1527"
+       style="fill:#000000;stroke:none"
+       cx="83.277603"
+       cy="68.796867"
+       r="0.75" />
+  </g>
+</svg>
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track6.svg b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track6.svg
new file mode 100644
index 0000000000000000000000000000000000000000..546490acbd626a9f38c7904baf15e860733dd857
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track6.svg
@@ -0,0 +1,356 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   xmlns:dc="http://purl.org/dc/elements/1.1/"
+   xmlns:cc="http://creativecommons.org/ns#"
+   xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
+   xmlns:svg="http://www.w3.org/2000/svg"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   width="210mm"
+   height="297mm"
+   viewBox="0 0 210 297"
+   version="1.1"
+   id="svg1301"
+   inkscape:version="0.92.3 (5aff6ba, 2018-11-25)"
+   sodipodi:docname="track6.svg">
+  <defs
+     id="defs1295" />
+  <sodipodi:namedview
+     id="base"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1.0"
+     inkscape:pageopacity="0.0"
+     inkscape:pageshadow="2"
+     inkscape:zoom="1.979899"
+     inkscape:cx="190.75425"
+     inkscape:cy="896.23429"
+     inkscape:document-units="mm"
+     inkscape:current-layer="layer1"
+     showgrid="false"
+     inkscape:window-width="1366"
+     inkscape:window-height="709"
+     inkscape:window-x="0"
+     inkscape:window-y="24"
+     inkscape:window-maximized="1" />
+  <metadata
+     id="metadata1298">
+    <rdf:RDF>
+      <cc:Work
+         rdf:about="">
+        <dc:format>image/svg+xml</dc:format>
+        <dc:type
+           rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
+        <dc:title></dc:title>
+      </cc:Work>
+    </rdf:RDF>
+  </metadata>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1">
+    <path
+       style="fill:none;stroke:#000000;stroke-width:0.53219444px;stroke-linecap:butt;stroke-linejoin:miter;stroke-opacity:1"
+       d="m 41.673269,71.692761 c 7.483939,-5.349914 5.162911,-7.409447 23.314999,-2.355228 8.479237,2.360936 6.887336,13.866687 0.613554,18.841817 -7.971402,6.321346 -13.815659,6.545257 -21.474343,4e-6 -5.754978,-4.918311 -8.756738,-11.981217 -2.45421,-16.486593 z"
+       id="path1846"
+       inkscape:connector-curvature="0"
+       sodipodi:nodetypes="sssss" />
+    <circle
+       id="path1848"
+       style="fill:#000000;stroke:none"
+       cx="51.048481"
+       cy="66.480034"
+       r="0.75" />
+    <circle
+       id="path1850"
+       style="fill:#000000;stroke:none"
+       cx="52.117558"
+       cy="66.346397"
+       r="0.75" />
+    <circle
+       id="path1852"
+       style="fill:#000000;stroke:none"
+       cx="53.320271"
+       cy="66.480034"
+       r="0.75" />
+    <circle
+       id="path1854"
+       style="fill:#000000;stroke:none"
+       cx="54.923889"
+       cy="66.747299"
+       r="0.75" />
+    <circle
+       id="path1856"
+       style="fill:#000000;stroke:none"
+       cx="56.527504"
+       cy="67.148209"
+       r="0.75" />
+    <circle
+       id="path1858"
+       style="fill:#000000;stroke:none"
+       cx="58.799297"
+       cy="67.682747"
+       r="0.75" />
+    <circle
+       id="path1860"
+       style="fill:#000000;stroke:none"
+       cx="60.670181"
+       cy="67.950012"
+       r="0.75" />
+    <circle
+       id="path1862"
+       style="fill:#000000;stroke:none"
+       cx="62.541069"
+       cy="68.48455"
+       r="0.75" />
+    <circle
+       id="path1864"
+       style="fill:#000000;stroke:none"
+       cx="64.67923"
+       cy="69.286362"
+       r="0.75" />
+    <circle
+       id="path1866"
+       style="fill:#000000;stroke:none"
+       cx="66.55011"
+       cy="70.088173"
+       r="0.75" />
+    <circle
+       id="path1868"
+       style="fill:#000000;stroke:none"
+       cx="68.020096"
+       cy="71.023613"
+       r="0.75" />
+    <circle
+       id="path1870"
+       style="fill:#000000;stroke:none"
+       cx="69.623711"
+       cy="72.760864"
+       r="0.75" />
+    <circle
+       id="path1872"
+       style="fill:#000000;stroke:none"
+       cx="70.024612"
+       cy="74.364487"
+       r="0.75" />
+    <circle
+       id="path1874"
+       style="fill:#000000;stroke:none"
+       cx="70.559158"
+       cy="76.101738"
+       r="0.75" />
+    <circle
+       id="path1876"
+       style="fill:#000000;stroke:none"
+       cx="70.826424"
+       cy="77.972626"
+       r="0.75" />
+    <circle
+       id="path1878"
+       style="fill:#000000;stroke:none"
+       cx="70.559158"
+       cy="79.442604"
+       r="0.75" />
+    <circle
+       id="path1880"
+       style="fill:#000000;stroke:none"
+       cx="70.158249"
+       cy="81.313492"
+       r="0.75" />
+    <circle
+       id="path1882"
+       style="fill:#000000;stroke:none"
+       cx="69.623711"
+       cy="83.318016"
+       r="0.75" />
+    <circle
+       id="path1884"
+       style="fill:#000000;stroke:none"
+       cx="68.554634"
+       cy="85.055267"
+       r="0.75" />
+    <circle
+       id="path1886"
+       style="fill:#000000;stroke:none"
+       cx="67.752823"
+       cy="86.525246"
+       r="0.75" />
+    <circle
+       id="path1888"
+       style="fill:#000000;stroke:none"
+       cx="66.015572"
+       cy="87.327057"
+       r="0.75" />
+    <circle
+       id="path1890"
+       style="fill:#000000;stroke:none"
+       cx="64.812859"
+       cy="88.663406"
+       r="0.75" />
+    <circle
+       id="path1892"
+       style="fill:#000000;stroke:none"
+       cx="63.209244"
+       cy="90.133385"
+       r="0.75" />
+    <circle
+       id="path1894"
+       style="fill:#000000;stroke:none"
+       cx="62.006531"
+       cy="90.935196"
+       r="0.75" />
+    <circle
+       id="path1896"
+       style="fill:#000000;stroke:none"
+       cx="60.269279"
+       cy="91.603371"
+       r="0.75" />
+    <circle
+       id="path1898"
+       style="fill:#000000;stroke:none"
+       cx="58.131123"
+       cy="92.405174"
+       r="0.75" />
+    <circle
+       id="path1900"
+       style="fill:#000000;stroke:none"
+       cx="55.725697"
+       cy="92.939713"
+       r="0.75" />
+    <circle
+       id="path1902"
+       style="fill:#000000;stroke:none"
+       cx="53.320271"
+       cy="93.073349"
+       r="0.75" />
+    <circle
+       id="path1904"
+       style="fill:#000000;stroke:none"
+       cx="50.647575"
+       cy="92.538811"
+       r="0.75" />
+    <circle
+       id="path1906"
+       style="fill:#000000;stroke:none"
+       cx="49.177593"
+       cy="91.603371"
+       r="0.75" />
+    <circle
+       id="path1908"
+       style="fill:#000000;stroke:none"
+       cx="47.173073"
+       cy="90.534286"
+       r="0.75" />
+    <circle
+       id="path1910"
+       style="fill:#000000;stroke:none"
+       cx="45.302185"
+       cy="89.46521"
+       r="0.75" />
+    <circle
+       id="path1912"
+       style="fill:#000000;stroke:none"
+       cx="43.832203"
+       cy="88.12886"
+       r="0.75" />
+    <circle
+       id="path1914"
+       style="fill:#000000;stroke:none"
+       cx="42.495853"
+       cy="86.391609"
+       r="0.75" />
+    <circle
+       id="path1916"
+       style="fill:#000000;stroke:none"
+       cx="40.491333"
+       cy="84.11982"
+       r="0.75" />
+    <circle
+       id="path1918"
+       style="fill:#000000;stroke:none"
+       cx="39.28862"
+       cy="82.516205"
+       r="0.75" />
+    <circle
+       id="path1920"
+       style="fill:#000000;stroke:none"
+       cx="38.219543"
+       cy="80.511681"
+       r="0.75" />
+    <circle
+       id="path1922"
+       style="fill:#000000;stroke:none"
+       cx="38.353176"
+       cy="78.774429"
+       r="0.75" />
+    <circle
+       id="path1924"
+       style="fill:#000000;stroke:none"
+       cx="37.952274"
+       cy="76.50264"
+       r="0.75" />
+    <circle
+       id="path1926"
+       style="fill:#000000;stroke:none"
+       cx="38.620445"
+       cy="74.765388"
+       r="0.75" />
+    <circle
+       id="path1932"
+       style="fill:#000000;stroke:none"
+       cx="39.6875"
+       cy="73.710564"
+       r="0.75" />
+    <circle
+       id="path1936"
+       style="fill:#000000;stroke:none"
+       cx="40.892239"
+       cy="72.410072"
+       r="0.75" />
+    <circle
+       id="path1938"
+       style="fill:#000000;stroke:none"
+       cx="42.078247"
+       cy="71.508041"
+       r="0.75" />
+    <circle
+       id="path1940"
+       style="fill:#000000;stroke:none"
+       cx="43.381184"
+       cy="70.639412"
+       r="0.75" />
+    <circle
+       id="path1942"
+       style="fill:#000000;stroke:none"
+       cx="44.583897"
+       cy="69.553635"
+       r="0.75" />
+    <circle
+       id="path1944"
+       style="fill:#000000;stroke:none"
+       cx="45.836723"
+       cy="68.618187"
+       r="0.75" />
+    <circle
+       id="path1946"
+       style="fill:#000000;stroke:none"
+       cx="47.106255"
+       cy="67.58252"
+       r="0.75" />
+    <circle
+       id="path1948"
+       style="fill:#000000;stroke:none"
+       cx="48.4426"
+       cy="67.014572"
+       r="0.75" />
+    <circle
+       id="path1950"
+       style="fill:#000000;stroke:none"
+       cx="49.611904"
+       cy="66.546852"
+       r="0.75" />
+  </g>
+</svg>
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track_10.svg b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track_10.svg
new file mode 100644
index 0000000000000000000000000000000000000000..bb6360869aeeea3fe62940dad3ce050f681626fb
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track_10.svg
@@ -0,0 +1,501 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   xmlns:dc="http://purl.org/dc/elements/1.1/"
+   xmlns:cc="http://creativecommons.org/ns#"
+   xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
+   xmlns:svg="http://www.w3.org/2000/svg"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   width="210mm"
+   height="297mm"
+   viewBox="0 0 210 297"
+   version="1.1"
+   id="svg1301"
+   inkscape:version="0.92.3 (5aff6ba, 2018-11-25)"
+   sodipodi:docname="track6.svg">
+  <defs
+     id="defs1295" />
+  <sodipodi:namedview
+     id="base"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1.0"
+     inkscape:pageopacity="0.0"
+     inkscape:pageshadow="2"
+     inkscape:zoom="1.979899"
+     inkscape:cx="190.75425"
+     inkscape:cy="896.23429"
+     inkscape:document-units="mm"
+     inkscape:current-layer="layer1"
+     showgrid="false"
+     inkscape:window-width="1366"
+     inkscape:window-height="709"
+     inkscape:window-x="0"
+     inkscape:window-y="24"
+     inkscape:window-maximized="1" />
+  <metadata
+     id="metadata1298">
+    <rdf:RDF>
+      <cc:Work
+         rdf:about="">
+        <dc:format>image/svg+xml</dc:format>
+        <dc:type
+           rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
+        <dc:title></dc:title>
+      </cc:Work>
+    </rdf:RDF>
+  </metadata>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1">
+	 <circle 
+ id="path0" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="60.0" 
+ r="0.1" /> 
+<circle 
+ id="path1" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="60.0" 
+ r="0.1" /> 
+<circle 
+ id="path2" 
+ style="fill:#000000;stroke:none" 
+ cx="70.15192246987792" 
+ cy="61.7364817766693" 
+ r="0.1" /> 
+<circle 
+ id="path3" 
+ style="fill:#000000;stroke:none" 
+ cx="70.60307379214092" 
+ cy="63.420201433256686" 
+ r="0.1" /> 
+<circle 
+ id="path4" 
+ style="fill:#000000;stroke:none" 
+ cx="71.3397459621556" 
+ cy="65.0" 
+ r="0.1" /> 
+<circle 
+ id="path5" 
+ style="fill:#000000;stroke:none" 
+ cx="72.33955556881023" 
+ cy="66.42787609686539" 
+ r="0.1" /> 
+<circle 
+ id="path6" 
+ style="fill:#000000;stroke:none" 
+ cx="73.57212390313461" 
+ cy="67.66044443118977" 
+ r="0.1" /> 
+<circle 
+ id="path7" 
+ style="fill:#000000;stroke:none" 
+ cx="75.0" 
+ cy="68.66025403784438" 
+ r="0.1" /> 
+<circle 
+ id="path8" 
+ style="fill:#000000;stroke:none" 
+ cx="76.5797985667433" 
+ cy="69.39692620785908" 
+ r="0.1" /> 
+<circle 
+ id="path9" 
+ style="fill:#000000;stroke:none" 
+ cx="78.26351822333069" 
+ cy="69.84807753012208" 
+ r="0.1" /> 
+<circle 
+ id="path10" 
+ style="fill:#000000;stroke:none" 
+ cx="80.0" 
+ cy="70.0" 
+ r="0.1" /> 
+<circle 
+ id="path11" 
+ style="fill:#000000;stroke:none" 
+ cx="81.73648177666931" 
+ cy="69.84807753012208" 
+ r="0.1" /> 
+<circle 
+ id="path12" 
+ style="fill:#000000;stroke:none" 
+ cx="83.4202014332567" 
+ cy="69.39692620785908" 
+ r="0.1" /> 
+<circle 
+ id="path13" 
+ style="fill:#000000;stroke:none" 
+ cx="85.0" 
+ cy="68.6602540378444" 
+ r="0.1" /> 
+<circle 
+ id="path14" 
+ style="fill:#000000;stroke:none" 
+ cx="86.42787609686539" 
+ cy="67.66044443118977" 
+ r="0.1" /> 
+<circle 
+ id="path15" 
+ style="fill:#000000;stroke:none" 
+ cx="87.66044443118977" 
+ cy="66.42787609686539" 
+ r="0.1" /> 
+<circle 
+ id="path16" 
+ style="fill:#000000;stroke:none" 
+ cx="88.6602540378444" 
+ cy="65.0" 
+ r="0.1" /> 
+<circle 
+ id="path17" 
+ style="fill:#000000;stroke:none" 
+ cx="89.39692620785908" 
+ cy="63.42020143325669" 
+ r="0.1" /> 
+<circle 
+ id="path18" 
+ style="fill:#000000;stroke:none" 
+ cx="89.84807753012208" 
+ cy="61.73648177666931" 
+ r="0.1" /> 
+<circle 
+ id="path19" 
+ style="fill:#000000;stroke:none" 
+ cx="90.0" 
+ cy="60.0" 
+ r="0.1" /> 
+<circle 
+ id="path20" 
+ style="fill:#000000;stroke:none" 
+ cx="89.84807753012208" 
+ cy="58.26351822333069" 
+ r="0.1" /> 
+<circle 
+ id="path21" 
+ style="fill:#000000;stroke:none" 
+ cx="89.39692620785908" 
+ cy="56.579798566743314" 
+ r="0.1" /> 
+<circle 
+ id="path22" 
+ style="fill:#000000;stroke:none" 
+ cx="88.66025403784438" 
+ cy="55.0" 
+ r="0.1" /> 
+<circle 
+ id="path23" 
+ style="fill:#000000;stroke:none" 
+ cx="87.66044443118977" 
+ cy="53.57212390313461" 
+ r="0.1" /> 
+<circle 
+ id="path24" 
+ style="fill:#000000;stroke:none" 
+ cx="86.42787609686539" 
+ cy="52.33955556881022" 
+ r="0.1" /> 
+<circle 
+ id="path25" 
+ style="fill:#000000;stroke:none" 
+ cx="85.0" 
+ cy="51.33974596215562" 
+ r="0.1" /> 
+<circle 
+ id="path26" 
+ style="fill:#000000;stroke:none" 
+ cx="83.4202014332567" 
+ cy="50.60307379214092" 
+ r="0.1" /> 
+<circle 
+ id="path27" 
+ style="fill:#000000;stroke:none" 
+ cx="81.73648177666931" 
+ cy="50.15192246987792" 
+ r="0.1" /> 
+<circle 
+ id="path28" 
+ style="fill:#000000;stroke:none" 
+ cx="80.0" 
+ cy="50.0" 
+ r="0.1" /> 
+<circle 
+ id="path29" 
+ style="fill:#000000;stroke:none" 
+ cx="78.26351822333069" 
+ cy="50.15192246987792" 
+ r="0.1" /> 
+<circle 
+ id="path30" 
+ style="fill:#000000;stroke:none" 
+ cx="76.5797985667433" 
+ cy="50.60307379214092" 
+ r="0.1" /> 
+<circle 
+ id="path31" 
+ style="fill:#000000;stroke:none" 
+ cx="75.0" 
+ cy="51.33974596215562" 
+ r="0.1" /> 
+<circle 
+ id="path32" 
+ style="fill:#000000;stroke:none" 
+ cx="73.57212390313461" 
+ cy="52.33955556881022" 
+ r="0.1" /> 
+<circle 
+ id="path33" 
+ style="fill:#000000;stroke:none" 
+ cx="72.33955556881023" 
+ cy="53.5721239031346" 
+ r="0.1" /> 
+<circle 
+ id="path34" 
+ style="fill:#000000;stroke:none" 
+ cx="71.33974596215562" 
+ cy="54.99999999999999" 
+ r="0.1" /> 
+<circle 
+ id="path35" 
+ style="fill:#000000;stroke:none" 
+ cx="70.60307379214092" 
+ cy="56.57979856674331" 
+ r="0.1" /> 
+<circle 
+ id="path36" 
+ style="fill:#000000;stroke:none" 
+ cx="70.15192246987792" 
+ cy="58.26351822333069" 
+ r="0.1" /> 
+<circle 
+ id="path37" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="60.0" 
+ r="0.1" /> 
+<circle 
+ id="path38" 
+ style="fill:#000000;stroke:none" 
+ cx="69.84807753012208" 
+ cy="61.7364817766693" 
+ r="0.1" /> 
+<circle 
+ id="path39" 
+ style="fill:#000000;stroke:none" 
+ cx="69.39692620785908" 
+ cy="63.42020143325669" 
+ r="0.1" /> 
+<circle 
+ id="path40" 
+ style="fill:#000000;stroke:none" 
+ cx="68.6602540378444" 
+ cy="65.0" 
+ r="0.1" /> 
+<circle 
+ id="path41" 
+ style="fill:#000000;stroke:none" 
+ cx="67.66044443118977" 
+ cy="66.42787609686539" 
+ r="0.1" /> 
+<circle 
+ id="path42" 
+ style="fill:#000000;stroke:none" 
+ cx="66.42787609686539" 
+ cy="67.66044443118977" 
+ r="0.1" /> 
+<circle 
+ id="path43" 
+ style="fill:#000000;stroke:none" 
+ cx="65.0" 
+ cy="68.6602540378444" 
+ r="0.1" /> 
+<circle 
+ id="path44" 
+ style="fill:#000000;stroke:none" 
+ cx="63.42020143325669" 
+ cy="69.39692620785908" 
+ r="0.1" /> 
+<circle 
+ id="path45" 
+ style="fill:#000000;stroke:none" 
+ cx="61.73648177666931" 
+ cy="69.84807753012208" 
+ r="0.1" /> 
+<circle 
+ id="path46" 
+ style="fill:#000000;stroke:none" 
+ cx="60.0" 
+ cy="70.0" 
+ r="0.1" /> 
+<circle 
+ id="path47" 
+ style="fill:#000000;stroke:none" 
+ cx="58.2635182233307" 
+ cy="69.84807753012208" 
+ r="0.1" /> 
+<circle 
+ id="path48" 
+ style="fill:#000000;stroke:none" 
+ cx="56.57979856674332" 
+ cy="69.39692620785908" 
+ r="0.1" /> 
+<circle 
+ id="path49" 
+ style="fill:#000000;stroke:none" 
+ cx="55.00000000000001" 
+ cy="68.6602540378444" 
+ r="0.1" /> 
+<circle 
+ id="path50" 
+ style="fill:#000000;stroke:none" 
+ cx="53.5721239031346" 
+ cy="67.66044443118977" 
+ r="0.1" /> 
+<circle 
+ id="path51" 
+ style="fill:#000000;stroke:none" 
+ cx="52.339555568810226" 
+ cy="66.4278760968654" 
+ r="0.1" /> 
+<circle 
+ id="path52" 
+ style="fill:#000000;stroke:none" 
+ cx="51.33974596215561" 
+ cy="65.0" 
+ r="0.1" /> 
+<circle 
+ id="path53" 
+ style="fill:#000000;stroke:none" 
+ cx="50.60307379214092" 
+ cy="63.420201433256686" 
+ r="0.1" /> 
+<circle 
+ id="path54" 
+ style="fill:#000000;stroke:none" 
+ cx="50.15192246987792" 
+ cy="61.73648177666931" 
+ r="0.1" /> 
+<circle 
+ id="path55" 
+ style="fill:#000000;stroke:none" 
+ cx="50.0" 
+ cy="60.0" 
+ r="0.1" /> 
+<circle 
+ id="path56" 
+ style="fill:#000000;stroke:none" 
+ cx="50.15192246987792" 
+ cy="58.263518223330706" 
+ r="0.1" /> 
+<circle 
+ id="path57" 
+ style="fill:#000000;stroke:none" 
+ cx="50.60307379214091" 
+ cy="56.57979856674332" 
+ r="0.1" /> 
+<circle 
+ id="path58" 
+ style="fill:#000000;stroke:none" 
+ cx="51.33974596215561" 
+ cy="55.00000000000001" 
+ r="0.1" /> 
+<circle 
+ id="path59" 
+ style="fill:#000000;stroke:none" 
+ cx="52.339555568810226" 
+ cy="53.5721239031346" 
+ r="0.1" /> 
+<circle 
+ id="path60" 
+ style="fill:#000000;stroke:none" 
+ cx="53.572123903134596" 
+ cy="52.339555568810226" 
+ r="0.1" /> 
+<circle 
+ id="path61" 
+ style="fill:#000000;stroke:none" 
+ cx="55.0" 
+ cy="51.33974596215561" 
+ r="0.1" /> 
+<circle 
+ id="path62" 
+ style="fill:#000000;stroke:none" 
+ cx="56.579798566743314" 
+ cy="50.60307379214092" 
+ r="0.1" /> 
+<circle 
+ id="path63" 
+ style="fill:#000000;stroke:none" 
+ cx="58.26351822333069" 
+ cy="50.15192246987792" 
+ r="0.1" /> 
+<circle 
+ id="path64" 
+ style="fill:#000000;stroke:none" 
+ cx="60.0" 
+ cy="50.0" 
+ r="0.1" /> 
+<circle 
+ id="path65" 
+ style="fill:#000000;stroke:none" 
+ cx="61.736481776669294" 
+ cy="50.15192246987792" 
+ r="0.1" /> 
+<circle 
+ id="path66" 
+ style="fill:#000000;stroke:none" 
+ cx="63.42020143325668" 
+ cy="50.60307379214091" 
+ r="0.1" /> 
+<circle 
+ id="path67" 
+ style="fill:#000000;stroke:none" 
+ cx="64.99999999999999" 
+ cy="51.33974596215561" 
+ r="0.1" /> 
+<circle 
+ id="path68" 
+ style="fill:#000000;stroke:none" 
+ cx="66.42787609686539" 
+ cy="52.339555568810226" 
+ r="0.1" /> 
+<circle 
+ id="path69" 
+ style="fill:#000000;stroke:none" 
+ cx="67.66044443118977" 
+ cy="53.572123903134596" 
+ r="0.1" /> 
+<circle 
+ id="path70" 
+ style="fill:#000000;stroke:none" 
+ cx="68.6602540378444" 
+ cy="55.0" 
+ r="0.1" /> 
+<circle 
+ id="path71" 
+ style="fill:#000000;stroke:none" 
+ cx="69.39692620785908" 
+ cy="56.579798566743314" 
+ r="0.1" /> 
+<circle 
+ id="path72" 
+ style="fill:#000000;stroke:none" 
+ cx="69.84807753012208" 
+ cy="58.26351822333069" 
+ r="0.1" /> 
+<circle 
+ id="path73" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="60.76351822333069" 
+ r="0.1" /> 
+
+  </g>
+</svg>
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track_11.svg b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track_11.svg
new file mode 100644
index 0000000000000000000000000000000000000000..b15b0f469211a1b8957d0f3c2b05ebb263e8b6f5
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track_11.svg
@@ -0,0 +1,525 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   xmlns:dc="http://purl.org/dc/elements/1.1/"
+   xmlns:cc="http://creativecommons.org/ns#"
+   xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
+   xmlns:svg="http://www.w3.org/2000/svg"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   width="210mm"
+   height="297mm"
+   viewBox="0 0 210 297"
+   version="1.1"
+   id="svg1301"
+   inkscape:version="0.92.3 (5aff6ba, 2018-11-25)"
+   sodipodi:docname="track6.svg">
+  <defs
+     id="defs1295" />
+  <sodipodi:namedview
+     id="base"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1.0"
+     inkscape:pageopacity="0.0"
+     inkscape:pageshadow="2"
+     inkscape:zoom="1.979899"
+     inkscape:cx="190.75425"
+     inkscape:cy="896.23429"
+     inkscape:document-units="mm"
+     inkscape:current-layer="layer1"
+     showgrid="false"
+     inkscape:window-width="1366"
+     inkscape:window-height="709"
+     inkscape:window-x="0"
+     inkscape:window-y="24"
+     inkscape:window-maximized="1" />
+  <metadata
+     id="metadata1298">
+    <rdf:RDF>
+      <cc:Work
+         rdf:about="">
+        <dc:format>image/svg+xml</dc:format>
+        <dc:type
+           rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
+        <dc:title></dc:title>
+      </cc:Work>
+    </rdf:RDF>
+  </metadata>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1">
+	 <circle 
+ id="path0" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="50" 
+ r="0.1" /> 
+<circle 
+ id="path1" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="60" 
+ r="0.1" /> 
+<circle 
+ id="path2" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="70" 
+ r="0.1" /> 
+<circle 
+ id="path3" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="70.0" 
+ r="0.1" /> 
+<circle 
+ id="path4" 
+ style="fill:#000000;stroke:none" 
+ cx="70.15192246987792" 
+ cy="71.73648177666931" 
+ r="0.1" /> 
+<circle 
+ id="path5" 
+ style="fill:#000000;stroke:none" 
+ cx="70.60307379214092" 
+ cy="73.4202014332567" 
+ r="0.1" /> 
+<circle 
+ id="path6" 
+ style="fill:#000000;stroke:none" 
+ cx="71.3397459621556" 
+ cy="75.0" 
+ r="0.1" /> 
+<circle 
+ id="path7" 
+ style="fill:#000000;stroke:none" 
+ cx="72.33955556881023" 
+ cy="76.42787609686539" 
+ r="0.1" /> 
+<circle 
+ id="path8" 
+ style="fill:#000000;stroke:none" 
+ cx="73.57212390313461" 
+ cy="77.66044443118977" 
+ r="0.1" /> 
+<circle 
+ id="path9" 
+ style="fill:#000000;stroke:none" 
+ cx="75.0" 
+ cy="78.66025403784438" 
+ r="0.1" /> 
+<circle 
+ id="path10" 
+ style="fill:#000000;stroke:none" 
+ cx="76.5797985667433" 
+ cy="79.39692620785908" 
+ r="0.1" /> 
+<circle 
+ id="path11" 
+ style="fill:#000000;stroke:none" 
+ cx="78.26351822333069" 
+ cy="79.84807753012208" 
+ r="0.1" /> 
+<circle 
+ id="path12" 
+ style="fill:#000000;stroke:none" 
+ cx="80.0" 
+ cy="80.0" 
+ r="0.1" /> 
+<circle 
+ id="path13" 
+ style="fill:#000000;stroke:none" 
+ cx="81.73648177666931" 
+ cy="79.84807753012208" 
+ r="0.1" /> 
+<circle 
+ id="path14" 
+ style="fill:#000000;stroke:none" 
+ cx="83.4202014332567" 
+ cy="79.39692620785908" 
+ r="0.1" /> 
+<circle 
+ id="path15" 
+ style="fill:#000000;stroke:none" 
+ cx="85.0" 
+ cy="78.6602540378444" 
+ r="0.1" /> 
+<circle 
+ id="path16" 
+ style="fill:#000000;stroke:none" 
+ cx="86.42787609686539" 
+ cy="77.66044443118977" 
+ r="0.1" /> 
+<circle 
+ id="path17" 
+ style="fill:#000000;stroke:none" 
+ cx="87.66044443118977" 
+ cy="76.42787609686539" 
+ r="0.1" /> 
+<circle 
+ id="path18" 
+ style="fill:#000000;stroke:none" 
+ cx="88.6602540378444" 
+ cy="75.0" 
+ r="0.1" /> 
+<circle 
+ id="path19" 
+ style="fill:#000000;stroke:none" 
+ cx="89.39692620785908" 
+ cy="73.4202014332567" 
+ r="0.1" /> 
+<circle 
+ id="path20" 
+ style="fill:#000000;stroke:none" 
+ cx="89.84807753012208" 
+ cy="71.73648177666931" 
+ r="0.1" /> 
+<circle 
+ id="path21" 
+ style="fill:#000000;stroke:none" 
+ cx="90.0" 
+ cy="70.0" 
+ r="0.1" /> 
+<circle 
+ id="path22" 
+ style="fill:#000000;stroke:none" 
+ cx="89.84807753012208" 
+ cy="68.26351822333069" 
+ r="0.1" /> 
+<circle 
+ id="path23" 
+ style="fill:#000000;stroke:none" 
+ cx="89.39692620785908" 
+ cy="66.5797985667433" 
+ r="0.1" /> 
+<circle 
+ id="path24" 
+ style="fill:#000000;stroke:none" 
+ cx="88.66025403784438" 
+ cy="65.0" 
+ r="0.1" /> 
+<circle 
+ id="path25" 
+ style="fill:#000000;stroke:none" 
+ cx="87.66044443118977" 
+ cy="63.57212390313461" 
+ r="0.1" /> 
+<circle 
+ id="path26" 
+ style="fill:#000000;stroke:none" 
+ cx="86.42787609686539" 
+ cy="62.33955556881022" 
+ r="0.1" /> 
+<circle 
+ id="path27" 
+ style="fill:#000000;stroke:none" 
+ cx="85.0" 
+ cy="61.33974596215562" 
+ r="0.1" /> 
+<circle 
+ id="path28" 
+ style="fill:#000000;stroke:none" 
+ cx="83.4202014332567" 
+ cy="60.60307379214092" 
+ r="0.1" /> 
+<circle 
+ id="path29" 
+ style="fill:#000000;stroke:none" 
+ cx="81.73648177666931" 
+ cy="60.15192246987792" 
+ r="0.1" /> 
+<circle 
+ id="path30" 
+ style="fill:#000000;stroke:none" 
+ cx="80.0" 
+ cy="60.0" 
+ r="0.1" /> 
+<circle 
+ id="path31" 
+ style="fill:#000000;stroke:none" 
+ cx="78.26351822333069" 
+ cy="60.15192246987792" 
+ r="0.1" /> 
+<circle 
+ id="path32" 
+ style="fill:#000000;stroke:none" 
+ cx="76.5797985667433" 
+ cy="60.60307379214092" 
+ r="0.1" /> 
+<circle 
+ id="path33" 
+ style="fill:#000000;stroke:none" 
+ cx="75.0" 
+ cy="61.33974596215562" 
+ r="0.1" /> 
+<circle 
+ id="path34" 
+ style="fill:#000000;stroke:none" 
+ cx="73.57212390313461" 
+ cy="62.33955556881022" 
+ r="0.1" /> 
+<circle 
+ id="path35" 
+ style="fill:#000000;stroke:none" 
+ cx="72.33955556881023" 
+ cy="63.5721239031346" 
+ r="0.1" /> 
+<circle 
+ id="path36" 
+ style="fill:#000000;stroke:none" 
+ cx="71.33974596215562" 
+ cy="65.0" 
+ r="0.1" /> 
+<circle 
+ id="path37" 
+ style="fill:#000000;stroke:none" 
+ cx="70.60307379214092" 
+ cy="66.5797985667433" 
+ r="0.1" /> 
+<circle 
+ id="path38" 
+ style="fill:#000000;stroke:none" 
+ cx="70.15192246987792" 
+ cy="68.26351822333069" 
+ r="0.1" /> 
+<circle 
+ id="path39" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="70.0" 
+ r="0.1" /> 
+<circle 
+ id="path40" 
+ style="fill:#000000;stroke:none" 
+ cx="69.84807753012208" 
+ cy="71.73648177666931" 
+ r="0.1" /> 
+<circle 
+ id="path41" 
+ style="fill:#000000;stroke:none" 
+ cx="69.39692620785908" 
+ cy="73.4202014332567" 
+ r="0.1" /> 
+<circle 
+ id="path42" 
+ style="fill:#000000;stroke:none" 
+ cx="68.6602540378444" 
+ cy="75.0" 
+ r="0.1" /> 
+<circle 
+ id="path43" 
+ style="fill:#000000;stroke:none" 
+ cx="67.66044443118977" 
+ cy="76.42787609686539" 
+ r="0.1" /> 
+<circle 
+ id="path44" 
+ style="fill:#000000;stroke:none" 
+ cx="66.42787609686539" 
+ cy="77.66044443118977" 
+ r="0.1" /> 
+<circle 
+ id="path45" 
+ style="fill:#000000;stroke:none" 
+ cx="65.0" 
+ cy="78.6602540378444" 
+ r="0.1" /> 
+<circle 
+ id="path46" 
+ style="fill:#000000;stroke:none" 
+ cx="63.42020143325669" 
+ cy="79.39692620785908" 
+ r="0.1" /> 
+<circle 
+ id="path47" 
+ style="fill:#000000;stroke:none" 
+ cx="61.73648177666931" 
+ cy="79.84807753012208" 
+ r="0.1" /> 
+<circle 
+ id="path48" 
+ style="fill:#000000;stroke:none" 
+ cx="60.0" 
+ cy="80.0" 
+ r="0.1" /> 
+<circle 
+ id="path49" 
+ style="fill:#000000;stroke:none" 
+ cx="58.2635182233307" 
+ cy="79.84807753012208" 
+ r="0.1" /> 
+<circle 
+ id="path50" 
+ style="fill:#000000;stroke:none" 
+ cx="56.57979856674332" 
+ cy="79.39692620785908" 
+ r="0.1" /> 
+<circle 
+ id="path51" 
+ style="fill:#000000;stroke:none" 
+ cx="55.00000000000001" 
+ cy="78.6602540378444" 
+ r="0.1" /> 
+<circle 
+ id="path52" 
+ style="fill:#000000;stroke:none" 
+ cx="53.5721239031346" 
+ cy="77.66044443118977" 
+ r="0.1" /> 
+<circle 
+ id="path53" 
+ style="fill:#000000;stroke:none" 
+ cx="52.339555568810226" 
+ cy="76.4278760968654" 
+ r="0.1" /> 
+<circle 
+ id="path54" 
+ style="fill:#000000;stroke:none" 
+ cx="51.33974596215561" 
+ cy="75.0" 
+ r="0.1" /> 
+<circle 
+ id="path55" 
+ style="fill:#000000;stroke:none" 
+ cx="50.60307379214092" 
+ cy="73.4202014332567" 
+ r="0.1" /> 
+<circle 
+ id="path56" 
+ style="fill:#000000;stroke:none" 
+ cx="50.15192246987792" 
+ cy="71.73648177666931" 
+ r="0.1" /> 
+<circle 
+ id="path57" 
+ style="fill:#000000;stroke:none" 
+ cx="50.0" 
+ cy="70.0" 
+ r="0.1" /> 
+<circle 
+ id="path58" 
+ style="fill:#000000;stroke:none" 
+ cx="50.15192246987792" 
+ cy="68.2635182233307" 
+ r="0.1" /> 
+<circle 
+ id="path59" 
+ style="fill:#000000;stroke:none" 
+ cx="50.60307379214091" 
+ cy="66.57979856674332" 
+ r="0.1" /> 
+<circle 
+ id="path60" 
+ style="fill:#000000;stroke:none" 
+ cx="51.33974596215561" 
+ cy="65.0" 
+ r="0.1" /> 
+<circle 
+ id="path61" 
+ style="fill:#000000;stroke:none" 
+ cx="52.339555568810226" 
+ cy="63.5721239031346" 
+ r="0.1" /> 
+<circle 
+ id="path62" 
+ style="fill:#000000;stroke:none" 
+ cx="53.572123903134596" 
+ cy="62.339555568810226" 
+ r="0.1" /> 
+<circle 
+ id="path63" 
+ style="fill:#000000;stroke:none" 
+ cx="55.0" 
+ cy="61.33974596215561" 
+ r="0.1" /> 
+<circle 
+ id="path64" 
+ style="fill:#000000;stroke:none" 
+ cx="56.579798566743314" 
+ cy="60.60307379214092" 
+ r="0.1" /> 
+<circle 
+ id="path65" 
+ style="fill:#000000;stroke:none" 
+ cx="58.26351822333069" 
+ cy="60.15192246987792" 
+ r="0.1" /> 
+<circle 
+ id="path66" 
+ style="fill:#000000;stroke:none" 
+ cx="60.0" 
+ cy="60.0" 
+ r="0.1" /> 
+<circle 
+ id="path67" 
+ style="fill:#000000;stroke:none" 
+ cx="61.736481776669294" 
+ cy="60.15192246987792" 
+ r="0.1" /> 
+<circle 
+ id="path68" 
+ style="fill:#000000;stroke:none" 
+ cx="63.42020143325668" 
+ cy="60.60307379214091" 
+ r="0.1" /> 
+<circle 
+ id="path69" 
+ style="fill:#000000;stroke:none" 
+ cx="64.99999999999999" 
+ cy="61.33974596215561" 
+ r="0.1" /> 
+<circle 
+ id="path70" 
+ style="fill:#000000;stroke:none" 
+ cx="66.42787609686539" 
+ cy="62.339555568810226" 
+ r="0.1" /> 
+<circle 
+ id="path71" 
+ style="fill:#000000;stroke:none" 
+ cx="67.66044443118977" 
+ cy="63.572123903134596" 
+ r="0.1" /> 
+<circle 
+ id="path72" 
+ style="fill:#000000;stroke:none" 
+ cx="68.6602540378444" 
+ cy="65.0" 
+ r="0.1" /> 
+<circle 
+ id="path73" 
+ style="fill:#000000;stroke:none" 
+ cx="69.39692620785908" 
+ cy="66.5797985667433" 
+ r="0.1" /> 
+<circle 
+ id="path74" 
+ style="fill:#000000;stroke:none" 
+ cx="69.84807753012208" 
+ cy="68.26351822333069" 
+ r="0.1" /> 
+<circle 
+ id="path75" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="78.26351822333069" 
+ r="0.1" /> 
+<circle 
+ id="path76" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="88.26351822333069" 
+ r="0.1" /> 
+<circle 
+ id="path77" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="98.26351822333069" 
+ r="0.1" /> 
+
+  </g>
+</svg>
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track_2_generator.py b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track_2_generator.py
new file mode 100644
index 0000000000000000000000000000000000000000..856c4102ced928fb58baf29dcc8e43b35182e7f5
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track_2_generator.py
@@ -0,0 +1,75 @@
+from math import cos, sin, pi
+def create_track(r, start_point_distance_y, end_point_distance_y, tot_shift):
+    laps = 1 #nombre de tours
+    resolution_circle = 10 #resolution du cercle en degre
+    resolution_line = 10
+    
+    #contruire les points qui vont former le chemin
+    points = [(0, start_point_distance_y)]
+    current_x, current_y = 0, start_point_distance_y
+    if current_y<0:
+        #faire les points de la première ligne droite
+        while current_y<0:
+            current_y += resolution_line
+            points.append((current_x, current_y))
+    
+    #faire les points des cercles
+    current_angle = 0 #angle en degree
+    for i in range(laps):
+        while current_angle<720:
+            rad = current_angle/360*2*pi
+            if 0<current_angle<360:
+                current_x, current_y = r-r*cos(rad), r*sin(rad)
+            else:
+                current_x, current_y = -(r-r*cos(rad)), r*sin(rad)
+            current_angle+=resolution_circle
+            points.append((current_x, current_y))
+        
+    if current_y<end_point_distance_y:
+        current_x=0
+        while current_y<end_point_distance_y:
+            current_y += resolution_line
+            points.append((current_x, current_y))
+    
+    
+    #on decale les points 
+    shift_x = -min([x[0] for x in points])
+    shift_y = -min([x[1] for x in points])
+    
+    points = [(x+shift_x+tot_shift[0],y+shift_y+tot_shift[1]) for x,y in points]
+    
+    #print(points)
+    return points
+    
+def create_double_circles(r, left_center, right_center):
+    resolution_circle = 10 #resolution du cercle en degre
+    current_angle=0
+    l_l = []
+    l_r = []
+    while current_angle<360:
+        rad = current_angle/360*2*pi
+        current_x_left, current_y_left = left_center[0]+r*cos(rad), left_center[1]+r*sin(rad)
+        current_x_right, current_y_right = right_center[0]+r*cos(rad), right_center[1]+r*sin(rad)
+        #if current_x_left<(left_center[0]+right_center[0])/2:
+        l_l.append((current_x_left, current_y_left))
+        #if current_x_right>(left_center[0]+right_center[0])/2:
+        l_r.append((current_x_right, current_y_right))
+        current_angle+=resolution_circle
+        
+    return l_l+l_r
+
+if __name__ =="__main__":
+    points = create_track(1, -20, 20)
+    #construire le svg
+    mid = ""
+    #prendre le code autour du chemin
+    f = open("basic_track.svg", "r")
+    t = f.read().split('CUT_HERE')
+    for i,point in enumerate(points):
+        mid += f'<circle \n id="path{i}" \n style="fill:#000000;stroke:none" \n cx="{point[0]}" \n cy="{point[1]}" \n r="0.1" /> \n'
+    t = t[0]+mid+t[1]
+    
+    f = open("track_11.svg", "w")
+    f.write(t)
+    f.close()
+    
\ No newline at end of file
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track_8.svg b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track_8.svg
new file mode 100644
index 0000000000000000000000000000000000000000..c3815bcd9d1232c2989733b1e70544fee4194b61
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track_8.svg
@@ -0,0 +1,639 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   xmlns:dc="http://purl.org/dc/elements/1.1/"
+   xmlns:cc="http://creativecommons.org/ns#"
+   xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
+   xmlns:svg="http://www.w3.org/2000/svg"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   width="210mm"
+   height="297mm"
+   viewBox="0 0 210 297"
+   version="1.1"
+   id="svg1301"
+   inkscape:version="0.92.3 (5aff6ba, 2018-11-25)"
+   sodipodi:docname="track6.svg">
+  <defs
+     id="defs1295" />
+  <sodipodi:namedview
+     id="base"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1.0"
+     inkscape:pageopacity="0.0"
+     inkscape:pageshadow="2"
+     inkscape:zoom="1.979899"
+     inkscape:cx="190.75425"
+     inkscape:cy="896.23429"
+     inkscape:document-units="mm"
+     inkscape:current-layer="layer1"
+     showgrid="false"
+     inkscape:window-width="1366"
+     inkscape:window-height="709"
+     inkscape:window-x="0"
+     inkscape:window-y="24"
+     inkscape:window-maximized="1" />
+  <metadata
+     id="metadata1298">
+    <rdf:RDF>
+      <cc:Work
+         rdf:about="">
+        <dc:format>image/svg+xml</dc:format>
+        <dc:type
+           rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
+        <dc:title></dc:title>
+      </cc:Work>
+    </rdf:RDF>
+  </metadata>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1">
+	 <circle 
+ id="path0" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="55.0" 
+ r="0.1" /> 
+<circle 
+ id="path1" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="55.5" 
+ r="0.1" /> 
+<circle 
+ id="path2" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="56.0" 
+ r="0.1" /> 
+<circle 
+ id="path3" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="56.5" 
+ r="0.1" /> 
+<circle 
+ id="path4" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="57.0" 
+ r="0.1" /> 
+<circle 
+ id="path5" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="57.5" 
+ r="0.1" /> 
+<circle 
+ id="path6" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="58.0" 
+ r="0.1" /> 
+<circle 
+ id="path7" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="58.5" 
+ r="0.1" /> 
+<circle 
+ id="path8" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="59.0" 
+ r="0.1" /> 
+<circle 
+ id="path9" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="59.5" 
+ r="0.1" /> 
+<circle 
+ id="path10" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="60.0" 
+ r="0.1" /> 
+<circle 
+ id="path11" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="60.0" 
+ r="0.1" /> 
+<circle 
+ id="path12" 
+ style="fill:#000000;stroke:none" 
+ cx="70.15192246987792" 
+ cy="61.7364817766693" 
+ r="0.1" /> 
+<circle 
+ id="path13" 
+ style="fill:#000000;stroke:none" 
+ cx="70.60307379214092" 
+ cy="63.420201433256686" 
+ r="0.1" /> 
+<circle 
+ id="path14" 
+ style="fill:#000000;stroke:none" 
+ cx="71.3397459621556" 
+ cy="65.0" 
+ r="0.1" /> 
+<circle 
+ id="path15" 
+ style="fill:#000000;stroke:none" 
+ cx="72.33955556881023" 
+ cy="66.42787609686539" 
+ r="0.1" /> 
+<circle 
+ id="path16" 
+ style="fill:#000000;stroke:none" 
+ cx="73.57212390313461" 
+ cy="67.66044443118977" 
+ r="0.1" /> 
+<circle 
+ id="path17" 
+ style="fill:#000000;stroke:none" 
+ cx="75.0" 
+ cy="68.66025403784438" 
+ r="0.1" /> 
+<circle 
+ id="path18" 
+ style="fill:#000000;stroke:none" 
+ cx="76.5797985667433" 
+ cy="69.39692620785908" 
+ r="0.1" /> 
+<circle 
+ id="path19" 
+ style="fill:#000000;stroke:none" 
+ cx="78.26351822333069" 
+ cy="69.84807753012208" 
+ r="0.1" /> 
+<circle 
+ id="path20" 
+ style="fill:#000000;stroke:none" 
+ cx="80.0" 
+ cy="70.0" 
+ r="0.1" /> 
+<circle 
+ id="path21" 
+ style="fill:#000000;stroke:none" 
+ cx="81.73648177666931" 
+ cy="69.84807753012208" 
+ r="0.1" /> 
+<circle 
+ id="path22" 
+ style="fill:#000000;stroke:none" 
+ cx="83.4202014332567" 
+ cy="69.39692620785908" 
+ r="0.1" /> 
+<circle 
+ id="path23" 
+ style="fill:#000000;stroke:none" 
+ cx="85.0" 
+ cy="68.6602540378444" 
+ r="0.1" /> 
+<circle 
+ id="path24" 
+ style="fill:#000000;stroke:none" 
+ cx="86.42787609686539" 
+ cy="67.66044443118977" 
+ r="0.1" /> 
+<circle 
+ id="path25" 
+ style="fill:#000000;stroke:none" 
+ cx="87.66044443118977" 
+ cy="66.42787609686539" 
+ r="0.1" /> 
+<circle 
+ id="path26" 
+ style="fill:#000000;stroke:none" 
+ cx="88.6602540378444" 
+ cy="65.0" 
+ r="0.1" /> 
+<circle 
+ id="path27" 
+ style="fill:#000000;stroke:none" 
+ cx="89.39692620785908" 
+ cy="63.42020143325669" 
+ r="0.1" /> 
+<circle 
+ id="path28" 
+ style="fill:#000000;stroke:none" 
+ cx="89.84807753012208" 
+ cy="61.73648177666931" 
+ r="0.1" /> 
+<circle 
+ id="path29" 
+ style="fill:#000000;stroke:none" 
+ cx="90.0" 
+ cy="60.0" 
+ r="0.1" /> 
+<circle 
+ id="path30" 
+ style="fill:#000000;stroke:none" 
+ cx="89.84807753012208" 
+ cy="58.26351822333069" 
+ r="0.1" /> 
+<circle 
+ id="path31" 
+ style="fill:#000000;stroke:none" 
+ cx="89.39692620785908" 
+ cy="56.579798566743314" 
+ r="0.1" /> 
+<circle 
+ id="path32" 
+ style="fill:#000000;stroke:none" 
+ cx="88.66025403784438" 
+ cy="55.0" 
+ r="0.1" /> 
+<circle 
+ id="path33" 
+ style="fill:#000000;stroke:none" 
+ cx="87.66044443118977" 
+ cy="53.57212390313461" 
+ r="0.1" /> 
+<circle 
+ id="path34" 
+ style="fill:#000000;stroke:none" 
+ cx="86.42787609686539" 
+ cy="52.33955556881022" 
+ r="0.1" /> 
+<circle 
+ id="path35" 
+ style="fill:#000000;stroke:none" 
+ cx="85.0" 
+ cy="51.33974596215562" 
+ r="0.1" /> 
+<circle 
+ id="path36" 
+ style="fill:#000000;stroke:none" 
+ cx="83.4202014332567" 
+ cy="50.60307379214092" 
+ r="0.1" /> 
+<circle 
+ id="path37" 
+ style="fill:#000000;stroke:none" 
+ cx="81.73648177666931" 
+ cy="50.15192246987792" 
+ r="0.1" /> 
+<circle 
+ id="path38" 
+ style="fill:#000000;stroke:none" 
+ cx="80.0" 
+ cy="50.0" 
+ r="0.1" /> 
+<circle 
+ id="path39" 
+ style="fill:#000000;stroke:none" 
+ cx="78.26351822333069" 
+ cy="50.15192246987792" 
+ r="0.1" /> 
+<circle 
+ id="path40" 
+ style="fill:#000000;stroke:none" 
+ cx="76.5797985667433" 
+ cy="50.60307379214092" 
+ r="0.1" /> 
+<circle 
+ id="path41" 
+ style="fill:#000000;stroke:none" 
+ cx="75.0" 
+ cy="51.33974596215562" 
+ r="0.1" /> 
+<circle 
+ id="path42" 
+ style="fill:#000000;stroke:none" 
+ cx="73.57212390313461" 
+ cy="52.33955556881022" 
+ r="0.1" /> 
+<circle 
+ id="path43" 
+ style="fill:#000000;stroke:none" 
+ cx="72.33955556881023" 
+ cy="53.5721239031346" 
+ r="0.1" /> 
+<circle 
+ id="path44" 
+ style="fill:#000000;stroke:none" 
+ cx="71.33974596215562" 
+ cy="54.99999999999999" 
+ r="0.1" /> 
+<circle 
+ id="path45" 
+ style="fill:#000000;stroke:none" 
+ cx="70.60307379214092" 
+ cy="56.57979856674331" 
+ r="0.1" /> 
+<circle 
+ id="path46" 
+ style="fill:#000000;stroke:none" 
+ cx="70.15192246987792" 
+ cy="58.26351822333069" 
+ r="0.1" /> 
+<circle 
+ id="path47" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="60.0" 
+ r="0.1" /> 
+<circle 
+ id="path48" 
+ style="fill:#000000;stroke:none" 
+ cx="69.84807753012208" 
+ cy="61.7364817766693" 
+ r="0.1" /> 
+<circle 
+ id="path49" 
+ style="fill:#000000;stroke:none" 
+ cx="69.39692620785908" 
+ cy="63.42020143325669" 
+ r="0.1" /> 
+<circle 
+ id="path50" 
+ style="fill:#000000;stroke:none" 
+ cx="68.6602540378444" 
+ cy="65.0" 
+ r="0.1" /> 
+<circle 
+ id="path51" 
+ style="fill:#000000;stroke:none" 
+ cx="67.66044443118977" 
+ cy="66.42787609686539" 
+ r="0.1" /> 
+<circle 
+ id="path52" 
+ style="fill:#000000;stroke:none" 
+ cx="66.42787609686539" 
+ cy="67.66044443118977" 
+ r="0.1" /> 
+<circle 
+ id="path53" 
+ style="fill:#000000;stroke:none" 
+ cx="65.0" 
+ cy="68.6602540378444" 
+ r="0.1" /> 
+<circle 
+ id="path54" 
+ style="fill:#000000;stroke:none" 
+ cx="63.42020143325669" 
+ cy="69.39692620785908" 
+ r="0.1" /> 
+<circle 
+ id="path55" 
+ style="fill:#000000;stroke:none" 
+ cx="61.73648177666931" 
+ cy="69.84807753012208" 
+ r="0.1" /> 
+<circle 
+ id="path56" 
+ style="fill:#000000;stroke:none" 
+ cx="60.0" 
+ cy="70.0" 
+ r="0.1" /> 
+<circle 
+ id="path57" 
+ style="fill:#000000;stroke:none" 
+ cx="58.2635182233307" 
+ cy="69.84807753012208" 
+ r="0.1" /> 
+<circle 
+ id="path58" 
+ style="fill:#000000;stroke:none" 
+ cx="56.57979856674332" 
+ cy="69.39692620785908" 
+ r="0.1" /> 
+<circle 
+ id="path59" 
+ style="fill:#000000;stroke:none" 
+ cx="55.00000000000001" 
+ cy="68.6602540378444" 
+ r="0.1" /> 
+<circle 
+ id="path60" 
+ style="fill:#000000;stroke:none" 
+ cx="53.5721239031346" 
+ cy="67.66044443118977" 
+ r="0.1" /> 
+<circle 
+ id="path61" 
+ style="fill:#000000;stroke:none" 
+ cx="52.339555568810226" 
+ cy="66.4278760968654" 
+ r="0.1" /> 
+<circle 
+ id="path62" 
+ style="fill:#000000;stroke:none" 
+ cx="51.33974596215561" 
+ cy="65.0" 
+ r="0.1" /> 
+<circle 
+ id="path63" 
+ style="fill:#000000;stroke:none" 
+ cx="50.60307379214092" 
+ cy="63.420201433256686" 
+ r="0.1" /> 
+<circle 
+ id="path64" 
+ style="fill:#000000;stroke:none" 
+ cx="50.15192246987792" 
+ cy="61.73648177666931" 
+ r="0.1" /> 
+<circle 
+ id="path65" 
+ style="fill:#000000;stroke:none" 
+ cx="50.0" 
+ cy="60.0" 
+ r="0.1" /> 
+<circle 
+ id="path66" 
+ style="fill:#000000;stroke:none" 
+ cx="50.15192246987792" 
+ cy="58.263518223330706" 
+ r="0.1" /> 
+<circle 
+ id="path67" 
+ style="fill:#000000;stroke:none" 
+ cx="50.60307379214091" 
+ cy="56.57979856674332" 
+ r="0.1" /> 
+<circle 
+ id="path68" 
+ style="fill:#000000;stroke:none" 
+ cx="51.33974596215561" 
+ cy="55.00000000000001" 
+ r="0.1" /> 
+<circle 
+ id="path69" 
+ style="fill:#000000;stroke:none" 
+ cx="52.339555568810226" 
+ cy="53.5721239031346" 
+ r="0.1" /> 
+<circle 
+ id="path70" 
+ style="fill:#000000;stroke:none" 
+ cx="53.572123903134596" 
+ cy="52.339555568810226" 
+ r="0.1" /> 
+<circle 
+ id="path71" 
+ style="fill:#000000;stroke:none" 
+ cx="55.0" 
+ cy="51.33974596215561" 
+ r="0.1" /> 
+<circle 
+ id="path72" 
+ style="fill:#000000;stroke:none" 
+ cx="56.579798566743314" 
+ cy="50.60307379214092" 
+ r="0.1" /> 
+<circle 
+ id="path73" 
+ style="fill:#000000;stroke:none" 
+ cx="58.26351822333069" 
+ cy="50.15192246987792" 
+ r="0.1" /> 
+<circle 
+ id="path74" 
+ style="fill:#000000;stroke:none" 
+ cx="60.0" 
+ cy="50.0" 
+ r="0.1" /> 
+<circle 
+ id="path75" 
+ style="fill:#000000;stroke:none" 
+ cx="61.736481776669294" 
+ cy="50.15192246987792" 
+ r="0.1" /> 
+<circle 
+ id="path76" 
+ style="fill:#000000;stroke:none" 
+ cx="63.42020143325668" 
+ cy="50.60307379214091" 
+ r="0.1" /> 
+<circle 
+ id="path77" 
+ style="fill:#000000;stroke:none" 
+ cx="64.99999999999999" 
+ cy="51.33974596215561" 
+ r="0.1" /> 
+<circle 
+ id="path78" 
+ style="fill:#000000;stroke:none" 
+ cx="66.42787609686539" 
+ cy="52.339555568810226" 
+ r="0.1" /> 
+<circle 
+ id="path79" 
+ style="fill:#000000;stroke:none" 
+ cx="67.66044443118977" 
+ cy="53.572123903134596" 
+ r="0.1" /> 
+<circle 
+ id="path80" 
+ style="fill:#000000;stroke:none" 
+ cx="68.6602540378444" 
+ cy="55.0" 
+ r="0.1" /> 
+<circle 
+ id="path81" 
+ style="fill:#000000;stroke:none" 
+ cx="69.39692620785908" 
+ cy="56.579798566743314" 
+ r="0.1" /> 
+<circle 
+ id="path82" 
+ style="fill:#000000;stroke:none" 
+ cx="69.84807753012208" 
+ cy="58.26351822333069" 
+ r="0.1" /> 
+<circle 
+ id="path83" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="58.76351822333069" 
+ r="0.1" /> 
+<circle 
+ id="path84" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="59.26351822333069" 
+ r="0.1" /> 
+<circle 
+ id="path85" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="59.76351822333069" 
+ r="0.1" /> 
+<circle 
+ id="path86" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="60.26351822333069" 
+ r="0.1" /> 
+<circle 
+ id="path87" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="60.76351822333069" 
+ r="0.1" /> 
+<circle 
+ id="path88" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="61.26351822333069" 
+ r="0.1" /> 
+<circle 
+ id="path89" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="61.76351822333069" 
+ r="0.1" /> 
+<circle 
+ id="path90" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="62.26351822333069" 
+ r="0.1" /> 
+<circle 
+ id="path91" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="62.76351822333069" 
+ r="0.1" /> 
+<circle 
+ id="path92" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="63.26351822333069" 
+ r="0.1" /> 
+<circle 
+ id="path93" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="63.76351822333069" 
+ r="0.1" /> 
+<circle 
+ id="path94" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="64.26351822333069" 
+ r="0.1" /> 
+<circle 
+ id="path95" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="64.76351822333069" 
+ r="0.1" /> 
+<circle 
+ id="path96" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="65.26351822333069" 
+ r="0.1" /> 
+
+  </g>
+</svg>
diff --git a/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track_9.svg b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track_9.svg
new file mode 100644
index 0000000000000000000000000000000000000000..5cf6ec88b5064830bee7911bc6593cdabb96a077
--- /dev/null
+++ b/Documentation/Projet/Simulation/2D-car-dynamics-simulation-master/track_9.svg
@@ -0,0 +1,159 @@
+<?xml version="1.0" encoding="UTF-8" standalone="no"?>
+<!-- Created with Inkscape (http://www.inkscape.org/) -->
+
+<svg
+   xmlns:dc="http://purl.org/dc/elements/1.1/"
+   xmlns:cc="http://creativecommons.org/ns#"
+   xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
+   xmlns:svg="http://www.w3.org/2000/svg"
+   xmlns="http://www.w3.org/2000/svg"
+   xmlns:sodipodi="http://sodipodi.sourceforge.net/DTD/sodipodi-0.dtd"
+   xmlns:inkscape="http://www.inkscape.org/namespaces/inkscape"
+   width="210mm"
+   height="297mm"
+   viewBox="0 0 210 297"
+   version="1.1"
+   id="svg1301"
+   inkscape:version="0.92.3 (5aff6ba, 2018-11-25)"
+   sodipodi:docname="track6.svg">
+  <defs
+     id="defs1295" />
+  <sodipodi:namedview
+     id="base"
+     pagecolor="#ffffff"
+     bordercolor="#666666"
+     borderopacity="1.0"
+     inkscape:pageopacity="0.0"
+     inkscape:pageshadow="2"
+     inkscape:zoom="1.979899"
+     inkscape:cx="190.75425"
+     inkscape:cy="896.23429"
+     inkscape:document-units="mm"
+     inkscape:current-layer="layer1"
+     showgrid="false"
+     inkscape:window-width="1366"
+     inkscape:window-height="709"
+     inkscape:window-x="0"
+     inkscape:window-y="24"
+     inkscape:window-maximized="1" />
+  <metadata
+     id="metadata1298">
+    <rdf:RDF>
+      <cc:Work
+         rdf:about="">
+        <dc:format>image/svg+xml</dc:format>
+        <dc:type
+           rdf:resource="http://purl.org/dc/dcmitype/StillImage" />
+        <dc:title></dc:title>
+      </cc:Work>
+    </rdf:RDF>
+  </metadata>
+  <g
+     inkscape:label="Layer 1"
+     inkscape:groupmode="layer"
+     id="layer1">
+	 <circle 
+ id="path0" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="55.0" 
+ r="0.1" /> 
+<circle 
+ id="path1" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="57.5" 
+ r="0.1" /> 
+<circle 
+ id="path2" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="60.0" 
+ r="0.1" /> 
+<circle 
+ id="path3" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="60.0" 
+ r="0.1" /> 
+<circle 
+ id="path4" 
+ style="fill:#000000;stroke:none" 
+ cx="80.0" 
+ cy="70.0" 
+ r="0.1" /> 
+<circle 
+ id="path5" 
+ style="fill:#000000;stroke:none" 
+ cx="90.0" 
+ cy="60.0" 
+ r="0.1" /> 
+<circle 
+ id="path6" 
+ style="fill:#000000;stroke:none" 
+ cx="80.0" 
+ cy="50.0" 
+ r="0.1" /> 
+<circle 
+ id="path7" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="60.0" 
+ r="0.1" /> 
+<circle 
+ id="path8" 
+ style="fill:#000000;stroke:none" 
+ cx="60.0" 
+ cy="70.0" 
+ r="0.1" /> 
+<circle 
+ id="path9" 
+ style="fill:#000000;stroke:none" 
+ cx="50.0" 
+ cy="60.0" 
+ r="0.1" /> 
+<circle 
+ id="path10" 
+ style="fill:#000000;stroke:none" 
+ cx="60.0" 
+ cy="50.0" 
+ r="0.1" /> 
+<circle 
+ id="path11" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="52.5" 
+ r="0.1" /> 
+<circle 
+ id="path12" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="55.0" 
+ r="0.1" /> 
+<circle 
+ id="path13" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="57.5" 
+ r="0.1" /> 
+<circle 
+ id="path14" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="60.0" 
+ r="0.1" /> 
+<circle 
+ id="path15" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="62.5" 
+ r="0.1" /> 
+<circle 
+ id="path16" 
+ style="fill:#000000;stroke:none" 
+ cx="70.0" 
+ cy="65.0" 
+ r="0.1" /> 
+
+  </g>
+</svg>
diff --git a/PAR 152/MCL.py b/PAR 152/MCL.py
new file mode 100644
index 0000000000000000000000000000000000000000..8e8302c38a55c19586d1c1ca4541aff11fda8983
--- /dev/null
+++ b/PAR 152/MCL.py	
@@ -0,0 +1,177 @@
+import random as rd
+from math import cos, sin
+import numpy as np
+import matplotlib.pyplot as plt
+
+### Carte ###
+
+pixel_x_ext, pixel_y_ext = [242, 220, 165, 110, 63, 33, 22, 34, 63, 110, 165, 220, 243, 310, 334, 388, 443, 490, 521, 531, 520, 489, 443, 388, 333, 310], [76, 64, 52, 64, 95, 141, 196, 252, 298, 330, 340, 328, 318, 316, 328, 339, 329, 298, 251, 196, 142, 95, 64, 53, 64, 77]
+pixel_x_int, pixel_y_int = [245, 238, 222, 196, 166, 134, 108, 91, 85, 90, 109, 134, 165, 196, 222, 239, 308, 314, 332, 358, 388, 419, 445, 462, 468, 462, 445, 419, 388, 359, 332, 314], [201, 167, 140, 123, 116, 123, 140, 165, 195, 228, 253, 270, 277, 270, 253, 227, 200, 226, 253, 270, 277, 270, 253, 228, 197, 166, 140, 122, 117, 123, 140, 166]
+diametre = 225
+centre_x, centre_y = 278, 200
+coord_x_ext, coord_y_ext = [i/diametre for i in pixel_x_ext], [i/diametre for i in pixel_y_ext]
+coord_x_int, coord_y_int = [i/diametre for i in pixel_x_int], [i/diametre for i in pixel_y_int]
+
+coord_ext = [(i/diametre , j/diametre) for i,j in zip(pixel_x_ext, pixel_y_ext)]
+coord_int = [(i/diametre , j/diametre) for i,j in zip(pixel_x_int, pixel_y_int)]
+
+### Paramètres ###
+sigma_position = 0.02
+sigma_direction = 0.05
+
+
+
+def normalisation(W):
+    a = sum(W)
+    return [w/a for w in W]
+
+def distance(x_1, y_1, x_2, y_2):
+    return np.sqrt((x_1-x_2)**2 + (y_1-y_2)**2)
+
+def distance_Chamfer(A_x, A_y, B_x, B_y):
+    m = len(A_x)
+    n = len(B_x)
+    
+    res = 0
+    
+    tab = [[distance(A_x[i], A_y[i], B_x[j], B_y[j]) for i in range(m)] for j in range(n)]
+    tab = np.array(tab)
+    for i in range(m):
+        res += np.min(tab[:,i])
+    for j in range(n):
+        res += np.min(tab[j,:])
+    
+    return res
+
+
+def motion_update(commande, position):
+    vitesse, direction = commande
+    x,y,theta = position
+    new_x = x + vitesse*cos(direction) + rd.gauss(0, sigma_position)
+    new_y = y + vitesse*sin(direction) + rd.gauss(0, sigma_position)
+    new_theta = theta - direction + rd.gauss(0, sigma_direction)
+    return (new_x, new_y, new_theta)
+
+
+
+def sensor_update(observation, position):
+    x,y,theta = position
+    vision_x = []
+    vision_y = []
+    vision_x_ext = []
+    vision_y_ext = []
+    for pt in coord_int:
+        vision_x.append((pt[0]-x)*cos(theta) + (pt[1]-y)*sin(theta))
+        vision_y.append(-(pt[0]-x)*sin(theta) + (pt[1]-y)*cos(theta))
+    
+    for pt in coord_ext:
+        vision_x_ext.append((pt[0]-x)*cos(theta) + (pt[1]-y)*sin(theta))
+        vision_y_ext.append(-(pt[0]-x)*sin(theta) + (pt[1]-y)*cos(theta))
+        
+    cones_vu_x = []
+    cones_vu_y = []
+    for i in range(len(vision_x)):
+        if vision_x[i]>0 and abs(vision_y[i])<vision_x[i]:
+            cones_vu_x.append(vision_x[i])
+            cones_vu_y.append(vision_y[i])
+
+    for i in range(len(vision_x_ext)):
+        if vision_x_ext[i]>0 and abs(vision_y_ext[i])<vision_x_ext[i]:
+            cones_vu_x.append(vision_x_ext[i])
+            cones_vu_y.append(vision_y_ext[i])
+            
+    obs_x = []
+    obs_y = []
+    for i in observation:
+        obs_x.append(i[0])
+        obs_y.append(i[1])
+            
+    return distance_Chamfer(cones_vu_x, cones_vu_y, obs_x, obs_y)
+
+
+
+
+
+
+def particle_filter(pos,u_t,z_t): #Position, commande, observation
+    X_t_barre, X_t = [], []
+    M = len(pos)
+    for m in range(M):
+        x = motion_update(u_t, pos[m])
+        w = sensor_update(z_t, x)
+        X_t_barre.append((x,w))
+    
+    X = [X_t_barre[i][0] for i in range(M)]
+    W = [X_t_barre[i][1] for i in range(M)]
+    W = normalisation(W)
+    X_t = low_variance_resampling(X, W)
+    
+    return X_t,W
+
+
+def low_variance_resampling(X,W):
+    X_t = []
+    J = len(X)
+    r = rd.random()/J
+    c = W[0]
+    i=0
+    for j in range(J):
+        U = r + (j-1)/J
+        while U > c:
+            i += 1
+            c += W[i]
+        X_t.append(X[i])
+    return X_t
+
+if __name__ == "__main__":
+    pos = [(1.314, 1.162, 3.14/3.6) for i in range(10)]
+    
+    liste_x = [0.37409758380473157,
+                 0.6517064494114153,
+                 0.23060853761333963,
+                 0.5278583908503303,
+                 0.14161368355256793,
+                 0.5134652832573952]
+    
+    liste_y = [0.14021924676581576,
+                 -0.3119493901540909,
+                 -0.3464004029844368,
+                 0.01390277627039628,
+                 -0.2754514724880131,
+                 -0.5902545559074325]
+    
+    observation = []
+    for i in range(len(liste_x)):
+        observation.append((liste_x[i], liste_y[i]))
+    
+    commande = (0.138841, 0.3)
+    
+    a,W = particle_filter(pos, commande, observation)
+    print(a,W)
+    
+    pos_initiale = (1.314, 1.162, 3.14/3.6)
+    pos_finale = (1.4, 1.271, 3.14/5.5)
+    
+    
+    plt.figure(1)
+    plt.plot(pos_initiale[0], pos_initiale[1], 'o')
+    plt.arrow(pos_initiale[0], pos_initiale[1], 0.07*cos(pos_initiale[2]), 0.07*sin(pos_initiale[2]))
+    plt.plot(pos_finale[0], pos_finale[1], 'o')
+    plt.arrow(pos_finale[0], pos_finale[1], 0.07*cos(pos_finale[2]), 0.07*sin(pos_finale[2]))
+    
+    plt.plot(coord_x_ext, coord_y_ext,'+')
+    plt.plot(coord_x_int, coord_y_int,'+')
+    
+    pos_x = []
+    pos_y = []
+    for k in range(len(a)):
+        i = a[k]
+        pos_x.append(i[0])
+        pos_y.append(i[1])
+        plt.arrow(i[0], i[1], 0.07*cos(i[2]), 0.07*sin(i[2]))
+        plt.annotate(W[k], [i[0], i[1]])
+        
+    plt.plot(pos_x,pos_y,'.')
+    
+    
+    plt.show()
\ No newline at end of file
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/111.jpg b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/111.jpg
new file mode 100644
index 0000000000000000000000000000000000000000..0c010316977ccbfa122c147cf024d7191a237560
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/111.jpg differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/111.png b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/111.png
new file mode 100644
index 0000000000000000000000000000000000000000..f0ed494803626b01e135a5cc44761fc2695400e7
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/111.png differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/161.jpg b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/161.jpg
new file mode 100644
index 0000000000000000000000000000000000000000..b5e38a85bfe2c0b588a1a41e5f5b41f4442481b3
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/161.jpg differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/28.jpg b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/28.jpg
new file mode 100644
index 0000000000000000000000000000000000000000..fa2c3f401141fd670eada8faf5d31b33e5c77e8c
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/28.jpg differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/8.jpg b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/8.jpg
new file mode 100644
index 0000000000000000000000000000000000000000..ddbb595eb4a93591f923c97270bbfbbc9f2a9a35
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/8.jpg differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2330.JPEG b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2330.JPEG
new file mode 100644
index 0000000000000000000000000000000000000000..a8fc2b655a0bfca26b44eb6bb451b88b220f2cc0
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2330.JPEG differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2331.JPEG b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2331.JPEG
new file mode 100644
index 0000000000000000000000000000000000000000..e1a4b12813257676044d8c7de3cb4e73c59eb699
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2331.JPEG differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2332.JPEG b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2332.JPEG
new file mode 100644
index 0000000000000000000000000000000000000000..6274c9537784b3621f9f6e58a5ed9e3ad588d5d0
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2332.JPEG differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2333.JPEG b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2333.JPEG
new file mode 100644
index 0000000000000000000000000000000000000000..10f074a0c9e0d77c553b08873b8fae93b29ff5fb
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2333.JPEG differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2334.JPEG b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2334.JPEG
new file mode 100644
index 0000000000000000000000000000000000000000..cb1628546f3c8331c59e04c9a74c794120e0b8d2
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2334.JPEG differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2335.JPEG b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2335.JPEG
new file mode 100644
index 0000000000000000000000000000000000000000..57ebd4c66b0052788ff6f249c23ab856cabbb3bd
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2335.JPEG differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2336.JPEG b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2336.JPEG
new file mode 100644
index 0000000000000000000000000000000000000000..6dc691fedb5648481539aae874d419cce8a58804
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2336.JPEG differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2337.JPEG b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2337.JPEG
new file mode 100644
index 0000000000000000000000000000000000000000..4a08ef77d07821661f03b93f75d92510ae936ac1
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2337.JPEG differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2338.JPEG b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2338.JPEG
new file mode 100644
index 0000000000000000000000000000000000000000..07fc6712589036169979bb5e56715edbea5a39d2
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2338.JPEG differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2339.JPEG b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2339.JPEG
new file mode 100644
index 0000000000000000000000000000000000000000..0fc1d74369191568d8240de6aad619c297d3b9b7
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2339.JPEG differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2340.JPEG b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2340.JPEG
new file mode 100644
index 0000000000000000000000000000000000000000..0db4c735b3d2c24831105935ff38a45778c87456
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2340.JPEG differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2341.JPEG b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2341.JPEG
new file mode 100644
index 0000000000000000000000000000000000000000..70e0ec134b9c4f39ac7d77f03436468c5a2f8aad
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2341.JPEG differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2342.JPEG b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2342.JPEG
new file mode 100644
index 0000000000000000000000000000000000000000..8bb9ea06afbd964e8a3787e812ddb32e97e40fd1
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2342.JPEG differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2343.JPEG b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2343.JPEG
new file mode 100644
index 0000000000000000000000000000000000000000..8a845730bfdbaf89187326f102d78e2422355ad4
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2343.JPEG differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2344.JPEG b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2344.JPEG
new file mode 100644
index 0000000000000000000000000000000000000000..cf9dae8e98ede8dfa30bc347e3986d442eea0c80
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2344.JPEG differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2345.JPEG b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2345.JPEG
new file mode 100644
index 0000000000000000000000000000000000000000..bd2c347697356e2d16ade43b26353f357530ba2a
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2345.JPEG differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2346.JPEG b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2346.JPEG
new file mode 100644
index 0000000000000000000000000000000000000000..72b3204f4522812f9826f305c428981fdd2508e3
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2346.JPEG differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2347.JPEG b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2347.JPEG
new file mode 100644
index 0000000000000000000000000000000000000000..c5b8c962ebf1137ba94af58dbd8222c92a295089
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2347.JPEG differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2348.JPEG b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2348.JPEG
new file mode 100644
index 0000000000000000000000000000000000000000..dd5beed97001ae87d638c9b44c0e62fa83f51b64
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2348.JPEG differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2349.JPEG b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2349.JPEG
new file mode 100644
index 0000000000000000000000000000000000000000..4c3661b9f0e864bd6db10c7f63b6fbd644872c50
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2349.JPEG differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2350.JPEG b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2350.JPEG
new file mode 100644
index 0000000000000000000000000000000000000000..d205b02c83a840311698c3b9f07804389e750795
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2350.JPEG differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2351.JPEG b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2351.JPEG
new file mode 100644
index 0000000000000000000000000000000000000000..b91169f73d235a48e34f976f4510036e743bf9a6
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2351.JPEG differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2352.JPEG b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2352.JPEG
new file mode 100644
index 0000000000000000000000000000000000000000..278bd420de4cac0657832abf0f41bf0b1c98e338
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2352.JPEG differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2353.JPEG b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2353.JPEG
new file mode 100644
index 0000000000000000000000000000000000000000..c84330440fef6560207707f42f02a51595ed6c8e
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2353.JPEG differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2354.JPEG b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2354.JPEG
new file mode 100644
index 0000000000000000000000000000000000000000..5106aca4b3cb399c64d55787f247b6be30b0d31a
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2354.JPEG differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2355.JPEG b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2355.JPEG
new file mode 100644
index 0000000000000000000000000000000000000000..c0df7c4f4500beea119c6135cfe4225611654cf4
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2355.JPEG differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2356.JPEG b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2356.JPEG
new file mode 100644
index 0000000000000000000000000000000000000000..0623a9b22d144b56229cc1a16e19282b321f5608
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/IMG_2356.JPEG differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/cone_1.jpg b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/cone_1.jpg
new file mode 100644
index 0000000000000000000000000000000000000000..a240c9eeff112a5221e50166a21713154d02c8fc
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/cone_1.jpg differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/petit_tour.mp4 b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/petit_tour.mp4
new file mode 100644
index 0000000000000000000000000000000000000000..e69de29bb2d1d6434b8b29ae775ad8c2e48c5391
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/plot_detection_photo.jpg b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/plot_detection_photo.jpg
new file mode 100644
index 0000000000000000000000000000000000000000..5588e9af128f18ba37af5f41b9960bf03423dc6c
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/plot_detection_photo.jpg differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/product-image-1178993187_480x480.webp b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/product-image-1178993187_480x480.webp
new file mode 100644
index 0000000000000000000000000000000000000000..407747b3a4273db5a60a9f8f40fd7b1141f33fa3
Binary files /dev/null and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/IMAGES/product-image-1178993187_480x480.webp differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/yolov3/__pycache__/configs.cpython-38.pyc b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/yolov3/__pycache__/configs.cpython-38.pyc
index d3a4ca838ca29c6c4707835e500f74e77ea4b865..71a6c4344514685e4dd2bdd680f2f1f56321b8a8 100644
Binary files a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/yolov3/__pycache__/configs.cpython-38.pyc and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/yolov3/__pycache__/configs.cpython-38.pyc differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/yolov3/__pycache__/utils.cpython-38.pyc b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/yolov3/__pycache__/utils.cpython-38.pyc
index 82267b09b9de6311b4e2d4b0d365405dea5bc0f1..316235f8d585a76cfff84349b6803a28d8781c6a 100644
Binary files a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/yolov3/__pycache__/utils.cpython-38.pyc and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/yolov3/__pycache__/utils.cpython-38.pyc differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/yolov3/__pycache__/yolov3.cpython-38.pyc b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/yolov3/__pycache__/yolov3.cpython-38.pyc
index 90dd7af7ddaed494d6cfad3fdb620c2cc3e7380d..2c80759726b8ea7c5a1999902cb0385574a7e923 100644
Binary files a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/yolov3/__pycache__/yolov3.cpython-38.pyc and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/yolov3/__pycache__/yolov3.cpython-38.pyc differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/yolov3/__pycache__/yolov4.cpython-38.pyc b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/yolov3/__pycache__/yolov4.cpython-38.pyc
index b68a3e727f1c7a55f5e5e01dafa4f5e506ed7b07..31c53cf3e9c35aa848f2da491bd725759cfac1ce 100644
Binary files a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/yolov3/__pycache__/yolov4.cpython-38.pyc and b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/yolov3/__pycache__/yolov4.cpython-38.pyc differ
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/yolov3/pid_controller.py b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/yolov3/pid_controller.py
new file mode 100644
index 0000000000000000000000000000000000000000..74483f308415ef31a1bf51c068dc8cd413b9b2f4
--- /dev/null
+++ b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/yolov3/pid_controller.py	
@@ -0,0 +1,18 @@
+import numpy as np
+
+
+class PidController:
+    def __init__(self, p_gain, i_gain, d_gain, set_point=0):
+        self.p_gain = p_gain
+        self.i_gain = i_gain
+        self.d_gain = d_gain
+        self.set_point = set_point
+        self.integrated_error = 0
+        self.previous_error = 0
+
+    def get_control(self, process_value):
+        error = self.set_point - process_value
+        control = self.p_gain * error + self.i_gain * self.integrated_error + self.d_gain * (error - self.previous_error)
+        self.previous_error = error
+        self.integrated_error += error
+        return np.sign(control) * abs(control)
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/yolov3/track_2_generator.py b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/yolov3/track_2_generator.py
new file mode 100644
index 0000000000000000000000000000000000000000..856c4102ced928fb58baf29dcc8e43b35182e7f5
--- /dev/null
+++ b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/yolov3/track_2_generator.py	
@@ -0,0 +1,75 @@
+from math import cos, sin, pi
+def create_track(r, start_point_distance_y, end_point_distance_y, tot_shift):
+    laps = 1 #nombre de tours
+    resolution_circle = 10 #resolution du cercle en degre
+    resolution_line = 10
+    
+    #contruire les points qui vont former le chemin
+    points = [(0, start_point_distance_y)]
+    current_x, current_y = 0, start_point_distance_y
+    if current_y<0:
+        #faire les points de la première ligne droite
+        while current_y<0:
+            current_y += resolution_line
+            points.append((current_x, current_y))
+    
+    #faire les points des cercles
+    current_angle = 0 #angle en degree
+    for i in range(laps):
+        while current_angle<720:
+            rad = current_angle/360*2*pi
+            if 0<current_angle<360:
+                current_x, current_y = r-r*cos(rad), r*sin(rad)
+            else:
+                current_x, current_y = -(r-r*cos(rad)), r*sin(rad)
+            current_angle+=resolution_circle
+            points.append((current_x, current_y))
+        
+    if current_y<end_point_distance_y:
+        current_x=0
+        while current_y<end_point_distance_y:
+            current_y += resolution_line
+            points.append((current_x, current_y))
+    
+    
+    #on decale les points 
+    shift_x = -min([x[0] for x in points])
+    shift_y = -min([x[1] for x in points])
+    
+    points = [(x+shift_x+tot_shift[0],y+shift_y+tot_shift[1]) for x,y in points]
+    
+    #print(points)
+    return points
+    
+def create_double_circles(r, left_center, right_center):
+    resolution_circle = 10 #resolution du cercle en degre
+    current_angle=0
+    l_l = []
+    l_r = []
+    while current_angle<360:
+        rad = current_angle/360*2*pi
+        current_x_left, current_y_left = left_center[0]+r*cos(rad), left_center[1]+r*sin(rad)
+        current_x_right, current_y_right = right_center[0]+r*cos(rad), right_center[1]+r*sin(rad)
+        #if current_x_left<(left_center[0]+right_center[0])/2:
+        l_l.append((current_x_left, current_y_left))
+        #if current_x_right>(left_center[0]+right_center[0])/2:
+        l_r.append((current_x_right, current_y_right))
+        current_angle+=resolution_circle
+        
+    return l_l+l_r
+
+if __name__ =="__main__":
+    points = create_track(1, -20, 20)
+    #construire le svg
+    mid = ""
+    #prendre le code autour du chemin
+    f = open("basic_track.svg", "r")
+    t = f.read().split('CUT_HERE')
+    for i,point in enumerate(points):
+        mid += f'<circle \n id="path{i}" \n style="fill:#000000;stroke:none" \n cx="{point[0]}" \n cy="{point[1]}" \n r="0.1" /> \n'
+    t = t[0]+mid+t[1]
+    
+    f = open("track_11.svg", "w")
+    f.write(t)
+    f.close()
+    
\ No newline at end of file
diff --git a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/yolov3/utils.py b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/yolov3/utils.py
index 0cc8f6b66d497353d2aee47bb0f31de2a76b745e..95874aa4c256f3abc6ab7041c6aac1f36d744d45 100644
--- a/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/yolov3/utils.py	
+++ b/PAR 152/Yolo V3/TensorFlow-2.x-YOLOv3-master/yolov3/utils.py	
@@ -18,6 +18,9 @@ import tensorflow as tf
 from yolov3.configs import *
 from yolov3.yolov4 import *
 from tensorflow.python.saved_model import tag_constants
+from track_2_generator import create_track
+from pid_controller import PidController
+from shapely.geometry import Polygon, Point, LineString
 
 def load_yolo_weights(model, weights_file):
     tf.keras.backend.clear_session() # used to reset layer names
@@ -152,7 +155,13 @@ def draw_bbox(image, bboxes, CLASSES=YOLO_COCO_CLASSES, show_label=True, show_co
 
         # put object rectangle
         cv2.rectangle(image, (x1, y1), (x2, y2), bbox_color, bbox_thick*2)
+        
+        print((x1, y1),(x2, y2))
 
+        """Determinate position"""
+        
+        
+        
         if show_label:
             # get text label
             score_str = " {:.2f}".format(score) if show_confidence else ""
@@ -174,6 +183,25 @@ def draw_bbox(image, bboxes, CLASSES=YOLO_COCO_CLASSES, show_label=True, show_co
             # put text above rectangle
             cv2.putText(image, label, (x1, y1-4), cv2.FONT_HERSHEY_COMPLEX_SMALL,
                         fontScale, Text_colors, bbox_thick, lineType=cv2.LINE_AA)
+            
+            
+    """Algorithme de conduite"""
+    """x_car, y_car"""
+    
+    """loading trajectory"""#TODO: load it only once
+    track_points = create_track(0.5,0,0, (0,0))[:-1]+[(1,0.5)]
+    track = Polygon(track_points)
+    
+    """calculate distance"""
+    front_center = Point(np.array([x_car,y_car]))
+    error = track.distance(front_center)
+    
+    """calculate PID response"""
+    pid = PidController(1,1,1) #P, I, D
+    commande = pid.get_control(error)
+    
+    """sending info to car"""
+    
 
     return image
 
diff --git a/PAR 152/carte_cones.py b/PAR 152/carte_cones.py
new file mode 100644
index 0000000000000000000000000000000000000000..f584b93fd0c3f559e577d31d13c39fa52c04af8d
--- /dev/null
+++ b/PAR 152/carte_cones.py	
@@ -0,0 +1,60 @@
+# -*- coding: utf-8 -*-
+"""
+Created on Fri Jan 27 11:53:00 2023
+
+@author: paull
+"""
+
+import matplotlib.pyplot as plt
+from math import cos,sin
+
+
+pixel_x_ext, pixel_y_ext = [242, 220, 165, 110, 63, 33, 22, 34, 63, 110, 165, 220, 243, 310, 334, 388, 443, 490, 521, 531, 520, 489, 443, 388, 333, 310], [76, 64, 52, 64, 95, 141, 196, 252, 298, 330, 340, 328, 318, 316, 328, 339, 329, 298, 251, 196, 142, 95, 64, 53, 64, 77]
+pixel_x_int, pixel_y_int = [245, 238, 222, 196, 166, 134, 108, 91, 85, 90, 109, 134, 165, 196, 222, 239, 308, 314, 332, 358, 388, 419, 445, 462, 468, 462, 445, 419, 388, 359, 332, 314], [201, 167, 140, 123, 116, 123, 140, 165, 195, 228, 253, 270, 277, 270, 253, 227, 200, 226, 253, 270, 277, 270, 253, 228, 197, 166, 140, 122, 117, 123, 140, 166]
+diametre = 225
+centre_x, centre_y = 278, 200
+coord_x_ext, coord_y_ext = [i/diametre for i in pixel_x_ext], [i/diametre for i in pixel_y_ext]
+coord_x_int, coord_y_int = [i/diametre for i in pixel_x_int], [i/diametre for i in pixel_y_int]
+print(coord_x_int, coord_x_int)
+
+coord_int = [(i/diametre , j/diametre) for i,j in zip(pixel_x_int, pixel_y_int)]
+coord_ext = [(i/diametre , j/diametre) for i,j in zip(pixel_x_ext, pixel_y_ext)]
+x = 1.4
+y = 1.271
+theta = 3.14/5.5
+vision_x = []
+vision_y = []
+vision_x_ext = []
+vision_y_ext = []
+for pt in coord_int:
+    vision_x.append((pt[0]-x)*cos(theta) + (pt[1]-y)*sin(theta))
+    vision_y.append(-(pt[0]-x)*sin(theta) + (pt[1]-y)*cos(theta))
+
+for pt in coord_ext:
+    vision_x_ext.append((pt[0]-x)*cos(theta) + (pt[1]-y)*sin(theta))
+    vision_y_ext.append(-(pt[0]-x)*sin(theta) + (pt[1]-y)*cos(theta))
+    
+    
+plt.figure(1)
+plt.plot(coord_x_ext, coord_y_ext,'+')
+plt.plot(coord_x_int, coord_y_int,'+')
+plt.arrow(x,y,0.1*cos(theta),0.1*sin(theta), width=0.01)
+plt.show()
+
+
+cones_vu_x = []
+cones_vu_y = []
+for i in range(len(vision_x)):
+    if vision_x[i]>0 and abs(vision_y[i])<vision_x[i]:
+        cones_vu_x.append(vision_x[i])
+        cones_vu_y.append(vision_y[i])
+
+for i in range(len(vision_x_ext)):
+    if vision_x_ext[i]>0 and abs(vision_y_ext[i])<vision_x_ext[i]:
+        cones_vu_x.append(vision_x_ext[i])
+        cones_vu_y.append(vision_y_ext[i])
+        
+plt.figure(2)
+plt.plot(cones_vu_x, cones_vu_y, '+')
+plt.arrow(0,0,0.1,0,width=0.01)
+plt.show()
\ No newline at end of file
diff --git a/PAR 152/positionnement.py b/PAR 152/positionnement.py
new file mode 100644
index 0000000000000000000000000000000000000000..7843c1f22530a29fc55ae02e38b4d9e580b6a142
--- /dev/null
+++ b/PAR 152/positionnement.py	
@@ -0,0 +1,158 @@
+from scipy.cluster.hierarchy import linkage, fcluster, dendrogram
+from numpy import array
+import numpy as np
+from math import sqrt
+import matplotlib.pyplot as plt
+
+carte = [] #carte contenant les coordonnées (x,y) de chaque plot, l'indince i correspond au plot i
+carte = np.array(carte)
+
+
+
+boxes = [array([ 71.55448151,  48.70854568, 117.95120239, 128.82731628,
+         0.96357524,   0.        ]), array([265.82519531,  63.02380371, 317.72790527, 161.43673706,
+         0.95850408,   0.        ]), array([204.24989319, 124.79711151, 320.40344238, 312.65106201,
+         0.95731342,   0.        ]), array([392.64465332, 120.61515808, 507.        , 307.8104248 ,
+         0.95594758,   0.        ]), array([467.19827271,  83.70771027, 507.        , 204.51119995,
+         0.95114303,   0.        ]), array([183.88371277,  18.13962936, 212.38748169,  72.65458679,
+         0.94486743,   0.        ]), array([467.60531616,  21.23407555, 501.08724976,  79.89296722,
+         0.93922979,   0.        ]), array([ 39.37908936, 126.7710495 , 137.76670837, 320.09881592,
+         0.93714899,   0.        ]), array([346.33688354,  74.00056458, 411.95550537, 180.61778259,
+         0.9355219 ,   0.        ]), array([198.56393433,  60.01593781, 251.088974  , 148.07209778,
+         0.93453765,   0.        ]), array([107.80426025,  17.43326759, 135.90390015,  67.50372314,
+         0.92372549,   0.        ]), array([226.01693726,  20.78704262, 255.77336121,  71.31395721,
+         0.92241275,   0.        ]), array([  0.73022616,  43.94894028,  50.41823196, 118.34261322,
+         0.92166394,   0.        ]), array([413.37960815,  21.73137093, 447.26065063,  77.86586761,
+         0.91958499,   0.        ]), array([135.58837891,  52.80698395, 189.51263428, 134.50894165,
+         0.91850674,   0.        ]), array([366.38388062,  22.89640999, 395.97808838,  77.14238739,
+         0.91489226,   0.        ]), array([23.01332664, 17.67047882, 51.43401337, 67.86820221,  0.91442037,
+        0.        ]), array([154.2374115 ,  88.37498474, 231.43321228, 213.48825073,
+         0.9137339 ,   0.        ]), array([ 22.97482491,  88.09642029,  71.89588165, 214.76116943,
+         0.90880054,   0.        ]), array([63.18217087, 15.96899509, 91.19147491, 69.62237549,  0.90012252,
+        0.        ]), array([12.51589012, 22.42526627, 51.88586807, 94.58940887,  0.38236487,
+        0.        ])]   
+milieu = 2
+F = 500
+h_reel = 0.7
+y0 = (boxes[milieu][0] + boxes[milieu][2])/2
+
+seuil = 0.5
+
+def distance(pt1,pt2):
+    return sqrt((pt1[0]-pt2[0])**2 + (pt1[1]-pt2[1])**2)                             
+
+
+def boite2coord(x1,y1,x2,y2):
+    
+    d = F*h_reel/abs(y1-y2)
+    
+    y_r = ((x1+x2)/2 - y0)*d/F
+    sin_theta= y_r/d
+    x_r = d*(1-sin_theta**2)**0.5
+    
+    return x_r,y_r
+
+def changement_referentiel(coord_voiture, coord_plot):
+    theta = coord_voiture[2]
+    x_v = coord_plot[0] - coord_voiture[0]
+    y_v = coord_plot[1] - coord_voiture[1]
+    x = x_v*np.cos(theta) + y_v*np.sin(theta)
+    y = x_v*np.sin(theta) + y_v*np.cos(theta)                       
+    return [x,y]
+
+
+
+
+def get_groupe_max(cluster):
+    occ = [0 for i in range(max(cluster)+1)]
+    print(occ)
+    for i in cluster:
+        occ[i] += 1
+    return np.argmax(occ)
+
+def association(cone, old_pos_cone):
+    dist = []
+    for pt in old_pos_cone:
+        dist.append(distance(cone,pt))
+    res = np.argmin(dist)
+    if dist[res]<seuil:
+        return res
+    else:
+        return None
+    
+    
+
+def identification_cones(old_pos, old_pos_cone, new_pos_cone, ind_cone):
+    #Regrouper les cones par deux si possible
+    
+    correspondance = [-1 for i in range(len(new_pos_cone))]
+
+    for i in range(len(new_pos_cone)):
+        cone = association(new_pos_cone[i], old_pos_cone)
+        if cone != None:
+            correspondance[i] = cone
+    
+    liste_ind_cone = [-1]*len(new_pos_cone)
+    for i in range(len(new_pos_cone)):
+            if correspondance[i] != -1:
+                liste_ind_cone[i] = ind_cone[correspondance[i]]
+    
+    new_pos = positionnement(new_pos_cone, liste_ind_cone) #permet de renvoyer ls cones
+    
+    for i in range(len(liste_ind_cone)):
+        if liste_ind_cone[i] == -1:
+            liste_ind_cone[i] = identification_new(new_pos, i)
+    
+    new_pos = positionnement(new_pos_cone, liste_ind_cone)
+    
+    return new_pos, liste_ind_cone
+
+
+
+
+def identification_new(pos, pos_cone):
+    
+    new_pos_cone = changement_referentiel(pos, pos_cone)
+
+    dist = []
+    for cone in carte:
+        dist.append(distance(cone,new_pos_cone))
+    res = np.argmin(dist)
+
+    return res
+
+
+
+def positionnement(new_pos_cone, liste_ind_cone):
+    pass
+    
+    
+    
+
+    
+
+if __name__ == '__main__':
+    
+    #initialisation
+    car_pos = (0,0)
+    car_angle = 0
+    pos = [0,0,0]
+    old_pos_cone = []
+    ind_cone = []
+    
+    #boucle
+    pos_cones = []
+    for i in boxes:
+        pos_cones.append(boite2coord(i[0],i[1],i[2],i[3]))
+        
+    pos2=[]
+    for c in pos_cones:
+        pos2.append((car_pos[0]+np.cos(car_angle)*c[0]+np.sin(car_angle)*c[1], car_pos[1]+np.cos(car_angle)*c[1]-np.sin(car_angle)*c[0]))
+    print(pos2)
+    
+    
+    #pos, liste_ind_cone = identification_cones(pos, old_pos_cone, pos_cone, ind_cone)
+    #old_pos_cone = pos_cone
+    
+    
+            
\ No newline at end of file