From 1c920698f848f8c4f4aaa59e685a3846f7821c83 Mon Sep 17 00:00:00 2001 From: Romain Vuillemot <romain.vuillemot@gmail.com> Date: Tue, 10 Oct 2023 08:16:29 +0200 Subject: [PATCH] updated material for class 6 --- 02-recursion-exercices.ipynb | 1145 ----------------- README.md | 36 +- ...data-structures-complexity-exercises.ipynb | 6 +- .../02-recursion-exercises.ipynb | 44 +- .../03-lists-search-sort-exercises.ipynb | 67 +- ...-06-programming-strategies-exercises.ipynb | 381 +++++- exercises/07-stacks-queues.ipynb | 333 +++++ pdf/ods-python.pdf | Bin 0 -> 1457027 bytes solutions/02-recursion-exercises.ipynb | 38 +- .../03-lists-search-sort-exercises.ipynb | 685 ++++++++++ 10 files changed, 1464 insertions(+), 1271 deletions(-) delete mode 100644 02-recursion-exercices.ipynb rename 01-data-structures-complexity-exercises.ipynb => exercises/01-data-structures-complexity-exercises.ipynb (99%) rename 02-recursion-exercises.ipynb => exercises/02-recursion-exercises.ipynb (96%) rename 03-lists-search-sort-exercises.ipynb => exercises/03-lists-search-sort-exercises.ipynb (91%) rename 04-programming-strategies-exercises.ipynb => exercises/04-05-06-programming-strategies-exercises.ipynb (57%) create mode 100644 exercises/07-stacks-queues.ipynb create mode 100644 pdf/ods-python.pdf create mode 100644 solutions/03-lists-search-sort-exercises.ipynb diff --git a/02-recursion-exercices.ipynb b/02-recursion-exercices.ipynb deleted file mode 100644 index 0ae7ffe..0000000 --- a/02-recursion-exercices.ipynb +++ /dev/null @@ -1,1145 +0,0 @@ -{ - "cells": [ - { - "cell_type": "markdown", - "id": "bca30313", - "metadata": {}, - "source": [ - "# UE5 Fundamentals of Algorithms\n", - "## Exercices\n", - "### Ecole Centrale de Lyon, Bachelor of Science in Data Science for Responsible Business\n", - "#### [Romain Vuillemot](https://romain.vuillemot.net/)\n", - "\n", - "Before you turn this problem in:\n", - "- make sure everything runs as expected. \n", - " - first, **restart the kernel** (in the menubar, select Kernel$\\rightarrow$Restart) \n", - " - then **run all cells** (in the menubar, select Cell$\\rightarrow$Run All).\n", - "- make sure you fill in any place that says `YOUR CODE HERE` or \"YOUR ANSWER HERE\"\n", - "- remove `raise NotImplementedError()` to get started with your answer\n", - "- bonus points (at the end of this notebook) are optionals\n", - "- write your name (and collaborators as a list if any) below:" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "6f6a3d43", - "metadata": {}, - "outputs": [], - "source": [ - "ID = \"\"\n", - "COLLABORATORS_ID = []" - ] - }, - { - "cell_type": "markdown", - "id": "c5b97c1c", - "metadata": {}, - "source": [ - "---" - ] - }, - { - "cell_type": "markdown", - "id": "a4e4fad3", - "metadata": { - "slideshow": { - "slide_type": "slide" - } - }, - "source": [ - "# Recursion" - ] - }, - { - "cell_type": "markdown", - "id": "a8adef9b", - "metadata": { - "slideshow": { - "slide_type": "skip" - } - }, - "source": [ - "---" - ] - }, - { - "cell_type": "markdown", - "id": "568202fd", - "metadata": { - "slideshow": { - "slide_type": "subslide" - } - }, - "source": [ - "### Exercise 0: Find the maximum value in a list (iterative)\n", - "\n", - "Write a function `find_maximum_iterative` that takes a list of numbers as input and returns the maximum value in the list. For this question, you are not allowed to use built-in functions like `max()``." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "431fe8c1-91d1-40f3-a7a4-f4a3770a4a01", - "metadata": { - "deletable": false, - "nbgrader": { - "cell_type": "code", - "checksum": "8b23d599da9ca2bdba48b9bcdd6e1165", - "grade": false, - "grade_id": "find_maximum_iterative", - "locked": false, - "schema_version": 3, - "solution": true, - "task": false - }, - "tags": [] - }, - "outputs": [], - "source": [ - "def find_maximum_iterative(L):\n", - " # YOUR CODE HERE\n", - " raise NotImplementedError()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "f6baae3c-3660-4add-ab4b-48016cba3030", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "find_maximum_iterative([1, 3, 5, 7, 9])" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "e68b3e9a-418f-4950-9f27-18bb0fe90794", - "metadata": { - "deletable": false, - "editable": false, - "nbgrader": { - "cell_type": "code", - "checksum": "9cb3441fa27dd28ce74e368375de8080", - "grade": true, - "grade_id": "correct_find_maximum_iterative", - "locked": true, - "points": 1, - "schema_version": 3, - "solution": false, - "task": false - }, - "tags": [] - }, - "outputs": [], - "source": [ - "assert find_maximum_iterative([1, 3, 5, 7, 9]) == 9\n", - "assert find_maximum_iterative([-1, -5, -3]) == -1\n", - "assert find_maximum_iterative([42]) == 42\n", - "assert find_maximum_iterative([4, 8, 8, 2, 7]) == 8\n", - "assert find_maximum_iterative([-10, -5, -8, -2, -7]) == -2" - ] - }, - { - "cell_type": "markdown", - "id": "612dc873-419b-42c5-be36-0accd03ffa79", - "metadata": {}, - "source": [ - "### Exercise 1: Find the maximum value in a list (recursive)\n", - "\n", - "Write a recursive version of the previous function; you may use the `max()` function for the recursive call." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "07668fd8", - "metadata": { - "deletable": false, - "nbgrader": { - "cell_type": "code", - "checksum": "fcd4348ffdf05fa800f15e7dba033d8e", - "grade": false, - "grade_id": "find_maximum_recursive", - "locked": false, - "schema_version": 3, - "solution": true, - "task": false - }, - "tags": [] - }, - "outputs": [], - "source": [ - "def find_maximum_recursive(L):\n", - " # YOUR CODE HERE\n", - " raise NotImplementedError()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "f9784710-4b2b-434c-bc47-da46fa410749", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "find_maximum_recursive([1, 3, 5, 7, 9])" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "9b0161f8-0539-4e5e-921c-1886e61c0783", - "metadata": { - "deletable": false, - "editable": false, - "nbgrader": { - "cell_type": "code", - "checksum": "1aae7ba6a868f7afd015deedcdf48aa4", - "grade": true, - "grade_id": "correct_find_maximum_recursive", - "locked": true, - "points": 1, - "schema_version": 3, - "solution": false, - "task": false - }, - "tags": [] - }, - "outputs": [], - "source": [ - "assert find_maximum_iterative([-10, -5, -8, -2, -7]) == find_maximum_recursive([-10, -5, -8, -2, -7])" - ] - }, - { - "cell_type": "markdown", - "id": "005efd41-baa1-4505-b80e-3644d61ea094", - "metadata": {}, - "source": [ - "### Exercise 2: Sum of digits" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "de424156-0b9b-41d0-8e38-ce335f35cec0", - "metadata": { - "deletable": false, - "nbgrader": { - "cell_type": "code", - "checksum": "3872f4f922847e273bc5a45cd425c458", - "grade": false, - "grade_id": "sum_of_digits", - "locked": false, - "schema_version": 3, - "solution": true, - "task": false - }, - "tags": [] - }, - "outputs": [], - "source": [ - "def sum_of_digits(n):\n", - " # YOUR CODE HERE\n", - " raise NotImplementedError()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "cec0caca-cb2c-4e4d-b004-27b3cf2ff611", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "sum_of_digits(10)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "bf276ca2-48ed-4e87-80f2-776f54b7062b", - "metadata": { - "deletable": false, - "editable": false, - "nbgrader": { - "cell_type": "code", - "checksum": "57a72fe3b7f20a42f9306fdde4b142f6", - "grade": true, - "grade_id": "correct_sum_of_digits", - "locked": true, - "points": 1, - "schema_version": 3, - "solution": false, - "task": false - }, - "tags": [] - }, - "outputs": [], - "source": [ - "assert sum_of_digits(10) == sum_of_digits(100000)" - ] - }, - { - "cell_type": "markdown", - "id": "e2de630a-f9bd-4d45-959b-430e34cc9044", - "metadata": { - "tags": [] - }, - "source": [ - "### Exercise 3: Calculate the power" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "abca03a0-7bcd-4ee6-b109-ff2f2da52bb6", - "metadata": { - "deletable": false, - "nbgrader": { - "cell_type": "code", - "checksum": "c8c385784b4dd53e96c693511e7a2e80", - "grade": false, - "grade_id": "power", - "locked": false, - "schema_version": 3, - "solution": true, - "task": false - }, - "tags": [] - }, - "outputs": [], - "source": [ - "def power(base, exponent):\n", - " # YOUR CODE HERE\n", - " raise NotImplementedError()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "abddd3b1-f75f-4cb6-a09e-54eed489c5b0", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "power(2, 10)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "8a6605fe-4f6f-45de-84a3-7601e2e2e6f6", - "metadata": { - "deletable": false, - "editable": false, - "nbgrader": { - "cell_type": "code", - "checksum": "c08d387ba43f0468538bfde5b39407d6", - "grade": true, - "grade_id": "correct_power", - "locked": true, - "points": 1, - "schema_version": 3, - "solution": false, - "task": false - }, - "tags": [] - }, - "outputs": [], - "source": [ - "assert power(2, 10) == 1024" - ] - }, - { - "cell_type": "markdown", - "id": "715100d3-fc21-49b9-a66d-b5243b4a279d", - "metadata": { - "tags": [] - }, - "source": [ - "### Exercise 4: Reverse a string" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "ddc9826a-0863-4777-a08d-81b66652b5a5", - "metadata": { - "deletable": false, - "nbgrader": { - "cell_type": "code", - "checksum": "762d91a747e5399677a26e44c5d8a041", - "grade": false, - "grade_id": "reverse_string", - "locked": false, - "schema_version": 3, - "solution": true, - "task": false - }, - "tags": [] - }, - "outputs": [], - "source": [ - "def reverse_string(s):\n", - " # YOUR CODE HERE\n", - " raise NotImplementedError()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "13acad7e-d03c-4ea6-ad86-baf02e0910eb", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "reverse_string(\"Romain\")" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "453c8e04-6cd9-4581-a206-dd479b6115cd", - "metadata": { - "deletable": false, - "editable": false, - "nbgrader": { - "cell_type": "code", - "checksum": "d42cbfb82df47fb4eb82e1530fa8f3cb", - "grade": true, - "grade_id": "correct_reverse_string", - "locked": true, - "points": 1, - "schema_version": 3, - "solution": false, - "task": false - }, - "tags": [] - }, - "outputs": [], - "source": [ - "assert reverse_string(\"\") == \"\"\n", - "assert reverse_string(\"AA\") == \"AA\"\n", - "assert reverse_string(\"ABC\") == \"CBA\"" - ] - }, - { - "cell_type": "markdown", - "id": "a0c5c115-1f3c-43f3-8098-930c707cd863", - "metadata": {}, - "source": [ - "def iterative_reverse_string(s):\n", - " reversed_str = \"\"\n", - " for char in s:\n", - " reversed_str = char + reversed_str\n", - " return reversed_str" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "43e10b0c", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "markdown", - "id": "5ab8f3c9-ddee-45ab-a013-fdd67d9853e0", - "metadata": {}, - "source": [ - "### Example 5: convert an interative suite into a recursive tail and non-tail function" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "219add7f", - "metadata": { - "slideshow": { - "slide_type": "subslide" - }, - "tags": [] - }, - "outputs": [], - "source": [ - "def sequence(n):\n", - " u = 1\n", - " while n > 0:\n", - " u = 2 * u + 1\n", - " n -= 1\n", - " return u" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "0787df24-8234-4286-b910-5f9e456dd279", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "print(\"The result is {}\".format(sequence(3)))" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "9c17cf1b-6d05-4589-af2b-c05cfcc33202", - "metadata": { - "deletable": false, - "nbgrader": { - "cell_type": "code", - "checksum": "2137e4ccdef7bccaa7b7ed6b52f305a8", - "grade": false, - "grade_id": "sequence_recursive_tail", - "locked": false, - "schema_version": 3, - "solution": true, - "task": false - }, - "tags": [] - }, - "outputs": [], - "source": [ - "def sequence_recursive_tail(n):\n", - " # YOUR CODE HERE\n", - " raise NotImplementedError()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "43507c43-de61-414d-b389-c0a771ad9e0c", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "print(\"The result is still {}\".format(sequence_recursive_tail(3)))" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "921939d8", - "metadata": { - "deletable": false, - "nbgrader": { - "cell_type": "code", - "checksum": "0a1a74cd37dac7bf2b7e0090f1a418d1", - "grade": false, - "grade_id": "sequence_recursive_non_tail", - "locked": false, - "schema_version": 3, - "solution": true, - "task": false - }, - "tags": [] - }, - "outputs": [], - "source": [ - "def sequence_recursive_non_tail(n, acc=1):\n", - " # YOUR CODE HERE\n", - " raise NotImplementedError()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "b754bf67-3d8d-42d9-a7ca-c43e2995837d", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "print(\"The result is still {}\".format(sequence_recursive_non_tail(3)))" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "dd923b7c-0cab-4678-8dc3-aad2ab9b25f9", - "metadata": { - "deletable": false, - "editable": false, - "nbgrader": { - "cell_type": "code", - "checksum": "357a18b503c50448c4d736ab9159a64c", - "grade": true, - "grade_id": "correct_sequence_recursive_non_tail", - "locked": true, - "points": 1, - "schema_version": 3, - "solution": false, - "task": false - }, - "slideshow": { - "slide_type": "slide" - }, - "tags": [] - }, - "outputs": [], - "source": [ - "assert sequence_recursive_tail(3) == sequence_recursive_non_tail(3)" - ] - }, - { - "cell_type": "markdown", - "id": "3c28b36a", - "metadata": { - "slideshow": { - "slide_type": "subslide" - } - }, - "source": [ - "### Example 6: check if a word is an annagram\n", - "\n", - "Check if a word can be read backwards." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "51bb3d08", - "metadata": { - "deletable": false, - "nbgrader": { - "cell_type": "code", - "checksum": "c25b0fb5ce11b015f40949352274cfdf", - "grade": false, - "grade_id": "annagram_rec", - "locked": false, - "schema_version": 3, - "solution": true, - "task": false - }, - "tags": [] - }, - "outputs": [], - "source": [ - "def annagram_rec(mot):\n", - " # YOUR CODE HERE\n", - " raise NotImplementedError()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "0c279628-9b96-4687-8e20-a954ab646e0f", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "annagram_rec(\"laval\")" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "cf6fa61a-7c6f-4a32-96c2-b9fd50deacc6", - "metadata": { - "deletable": false, - "editable": false, - "nbgrader": { - "cell_type": "code", - "checksum": "94bbbbee3a4c7c005e8f9552a29ed556", - "grade": true, - "grade_id": "correct_annagram_rec", - "locked": true, - "points": 1, - "schema_version": 3, - "solution": false, - "task": false - }, - "tags": [] - }, - "outputs": [], - "source": [ - "assert annagram_rec(\"\")\n", - "assert annagram_rec(\"AA\")\n", - "assert not annagram_rec(\"ABC\")\n", - "assert annagram_rec(\"ABA\")" - ] - }, - { - "cell_type": "markdown", - "id": "798c2875-7940-488a-8458-ad08f6a71c70", - "metadata": {}, - "source": [ - "### Example 7: Calculate GCD\n" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "48c65c83-be0c-41c4-8c04-1d29ac4415cb", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "def iterative_gcd(a, b):\n", - " while b:\n", - " a, b = b, a % b\n", - " return a" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "bf6e1a76", - "metadata": { - "deletable": false, - "nbgrader": { - "cell_type": "code", - "checksum": "45353cb0fdd92b57e6f6f1739ed430b3", - "grade": false, - "grade_id": "recursive_gcd", - "locked": false, - "schema_version": 3, - "solution": true, - "task": false - }, - "tags": [] - }, - "outputs": [], - "source": [ - "def recursive_gcd(a, b):\n", - " # YOUR CODE HERE\n", - " raise NotImplementedError()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "4f1feace", - "metadata": {}, - "outputs": [], - "source": [ - "recursive_gcd(10, 2)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "e6ff1765-ff4b-49a5-80d3-684d2627e961", - "metadata": { - "deletable": false, - "editable": false, - "nbgrader": { - "cell_type": "code", - "checksum": "ed3ae90c2a4be5ff93a5d68b688f0f96", - "grade": true, - "grade_id": "correct_recursive_gcd", - "locked": true, - "points": 1, - "schema_version": 3, - "solution": false, - "task": false - }, - "tags": [] - }, - "outputs": [], - "source": [ - "assert iterative_gcd(10, 2) == recursive_gcd(10, 2)" - ] - }, - { - "cell_type": "markdown", - "id": "d8b05edf-9536-4fc1-bfcc-ddbbeee426fc", - "metadata": {}, - "source": [ - "### Example 8: Calculate average of a list" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "1661dfb5-88f2-411f-8fe2-63bbaa29ce72", - "metadata": { - "deletable": false, - "nbgrader": { - "cell_type": "code", - "checksum": "3dfcf16aa7e5f7e1f4e46a799e964624", - "grade": false, - "grade_id": "calculate_average_recursive", - "locked": false, - "schema_version": 3, - "solution": true, - "task": false - }, - "tags": [] - }, - "outputs": [], - "source": [ - "def calculate_average_recursive(lst, index=0):\n", - " # YOUR CODE HERE\n", - " raise NotImplementedError()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "0c5c72c6-3237-4f98-ab96-50a1838b833f", - "metadata": {}, - "outputs": [], - "source": [ - "calculate_average_recursive([1, 2, 3])" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "9f18b6b7-d980-4a72-a2a8-3aa201003d21", - "metadata": { - "deletable": false, - "editable": false, - "nbgrader": { - "cell_type": "code", - "checksum": "27294a77eaee1e794183e6a31f145be1", - "grade": true, - "grade_id": "correct_calculate_average_recursive", - "locked": true, - "points": 1, - "schema_version": 3, - "solution": false, - "task": false - }, - "tags": [] - }, - "outputs": [], - "source": [ - "assert calculate_average_recursive([1, 2, 3]) == 2.5" - ] - }, - { - "cell_type": "markdown", - "id": "79eef392-1d3d-46c0-aeee-ac805686e6f1", - "metadata": {}, - "source": [ - "### Example 9: Check for prime number" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "ac374a08-11c9-47e6-ba11-419549911266", - "metadata": { - "deletable": false, - "nbgrader": { - "cell_type": "code", - "checksum": "58fec5e697f40d4e1934bdce3ae87647", - "grade": false, - "grade_id": "is_prime_recursive", - "locked": false, - "schema_version": 3, - "solution": true, - "task": false - }, - "tags": [] - }, - "outputs": [], - "source": [ - "def is_prime_recursive(n, divisor=2):\n", - " # YOUR CODE HERE\n", - " raise NotImplementedError()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "996fc91f", - "metadata": {}, - "outputs": [], - "source": [ - "is_prime_recursive(3)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "5be1051c-3b60-4810-b855-6f8575ad6380", - "metadata": { - "deletable": false, - "editable": false, - "nbgrader": { - "cell_type": "code", - "checksum": "f571ff3e3a5bc53ffbc828b255bfb6cb", - "grade": true, - "grade_id": "correct_is_prime_recursive", - "locked": true, - "points": 1, - "schema_version": 3, - "solution": false, - "task": false - }, - "tags": [] - }, - "outputs": [], - "source": [ - "assert is_prime_recursive(3) " - ] - }, - { - "cell_type": "markdown", - "id": "5423682d-c31f-4a8d-9a0f-6812de7b1ae3", - "metadata": {}, - "source": [ - "### Example 10: Count occurrences of a given element in a list" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "cfeb0ad0-ed82-499e-9af3-64923291a0e7", - "metadata": { - "deletable": false, - "nbgrader": { - "cell_type": "code", - "checksum": "01c4970fffe483944b93049b5d8404a0", - "grade": false, - "grade_id": "count_occurrences", - "locked": false, - "schema_version": 3, - "solution": true, - "task": false - }, - "tags": [] - }, - "outputs": [], - "source": [ - "def count_occurrences(arr, target, index=0):\n", - " # YOUR CODE HERE\n", - " raise NotImplementedError()" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "49daec07-00b3-412e-ad44-5bafadbd9f36", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "count_occurrences([1, 2, 3, 4, 2, 2, 5, 6, 2], 2)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "14a2eb85-1126-4506-93bb-4bf624d046b6", - "metadata": { - "deletable": false, - "editable": false, - "nbgrader": { - "cell_type": "code", - "checksum": "5df4afd6ed2f7dfd102b8c21f8ced2e7", - "grade": true, - "grade_id": "correct_count_occurrences", - "locked": true, - "points": 1, - "schema_version": 3, - "solution": false, - "task": false - }, - "tags": [] - }, - "outputs": [], - "source": [ - "assert count_occurrences([1, 2, 3, 4, 2, 2, 5, 6, 2], 2) == 4" - ] - }, - { - "cell_type": "markdown", - "id": "bb1784f5-2426-4661-aa13-dba96743ceb5", - "metadata": {}, - "source": [ - "# Bonus points" - ] - }, - { - "cell_type": "markdown", - "id": "7fdcd705-dc0b-4614-8e27-9ba62f8fe442", - "metadata": {}, - "source": [ - "### Exercise 1: Find the maximum value in a list (iterative)\n", - "\n", - "Check that an empty lists raises a `ValueError` exception with a `\"The list is empty.\"` message." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "f9334f32-f760-46c0-a649-c82f267aba5b", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "try:\n", - " result = find_maximum_iterative([])\n", - " assert False, \"Exception not raised\"\n", - "except ValueError as e:\n", - " assert str(e) == \"The list is empty.\", f\"Expected error message: 'The list is empty.' but got '{str(e)}'\"" - ] - }, - { - "cell_type": "markdown", - "id": "c121315a-4aaa-4e04-912f-73f56555be56", - "metadata": {}, - "source": [ - "### Exercise 1: Find the maximum value in a list (recursive)\n", - "\n", - "Witout using the built-in `max` function" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "775b7e32-a5ae-431b-9987-fcd3671fd022", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "def find_maximum_recursive_no_max_func(L): \n", - " # Base case: If the list is empty, raise a ValueError\n", - " if not L:\n", - " raise ValueError(\"The list is empty.\")\n", - " \n", - " # Base case: If there's only one element in the list, return it as the maximum\n", - " if len(L) == 1:\n", - " return L[0]\n", - " \n", - " # Recursive case: Compare the first element with the maximum of the rest of the list\n", - " rest_max = find_maximum_recursive(L[1:])\n", - " return L[0] if L[0] > rest_max else rest_max" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "f76ed657-3288-4b36-9175-21168d2eb761", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "assert not calls_builtin_max(find_maximum_recursive_no_max_func)" - ] - }, - { - "cell_type": "markdown", - "id": "bbe7023a-aabd-489d-bae6-3b71566e22ef", - "metadata": {}, - "source": [ - "# Additional tests (do not change)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "b8bc657e-d491-4851-aa8c-ac2f2eac0841", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "# checks if a function uses another function, eg \"max\"\n", - "import inspect\n", - "\n", - "def calls_builtin_max(func):\n", - " source_code = inspect.getsource(func)\n", - " return 'max(' in source_code\n", - "\n", - "# Example of such function using max\n", - "def my_function(lst):\n", - " return max(lst)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "1c73ad0e-ddc9-483d-85a1-f2a65d04f30b", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "assert calls_builtin_max(my_function)\n", - "assert not calls_builtin_max(find_maximum_iterative)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "8ce960f5-08da-449e-9e6f-dae215bc1b6a", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [ - "# generates more examples for a given function\n", - "def gen_examples(fnct, n=10):\n", - " return [fnct(i) for i in range(0, n)]" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "d601b2f3-c33b-4ed2-81be-639ce1ffab76", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "1f252530-7817-444c-ae10-d7b3bca87f2d", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "0976f7c2-4375-4d76-a6c1-9e729a6c8aeb", - "metadata": {}, - "outputs": [], - "source": [] - } - ], - "metadata": { - "kernelspec": { - "display_name": "Python 3 (ipykernel)", - "language": "python", - "name": "python3" - }, - "language_info": { - "codemirror_mode": { - "name": "ipython", - "version": 3 - }, - "file_extension": ".py", - "mimetype": "text/x-python", - "name": "python", - "nbconvert_exporter": "python", - "pygments_lexer": "ipython3", - "version": "3.10.9" - } - }, - "nbformat": 4, - "nbformat_minor": 5 -} diff --git a/README.md b/README.md index 982339c..813e1d5 100644 --- a/README.md +++ b/README.md @@ -13,19 +13,19 @@ Instructor: [Romain Vuillemot](romain.vuillemot@ec-lyon.fr) ## Outline -### Lecture 1 - **Data structures and complexity** | [notebook](01-introduction.ipynb) | [slides](01-introduction-slides.pdf) | [exercices](01-introduction-exercices.ipynb) +### Lecture 1 - **Data structures and complexity** | [notebook](01-introduction.ipynb) | [exercices](01-introduction-exercices.ipynb) 📖 [Python for Everybody](pdf/pythonlearn.pdf) chapter 9 (dictionnaries), chapter 10 (tuples) -### Lecture 2 - **Recursion** | [notebook](02-recursion.ipynb) | [slides](02-recursion-slides.pdf) | [exercices](02-recursion-exercices.ipynb) +### Lecture 2 - **Recursion** | [notebook](02-recursion.ipynb) | [exercices](exercises/02-recursion-exercices.ipynb) 📖 [Think Python](pdf/thinkpython2.pdf) chapter 5 (Conditionals and recursion) and Real Python [recursion](https://realpython.com/python-recursion/). -### Lecture 3 - **Lists, search, sort** | [notebook](03-lists-search-sort.ipynb) | [slides](03-lists-search-sort-slides.pdf) | [exercices](03-lists-search-sort-exercises.ipynb) +### Lecture 3 - **Lists, search, sort** | [notebook](03-lists-search-sort.ipynb) | [exercices](exercises/03-lists-search-sort-exercises.ipynb) 📖 [Think Python](pdf/thinkpython2.pdf) chapter 11 (lists), chapter 12 (tuples), [Python for Everybody](pdf/pythonlearn.pdf) chapter 8 (lists) and Real Python [lists](https://realpython.com/python-list/) and [sorts](https://realpython.com/sorting-algorithms-python/). -### Lecture 4 - **Programming strategies: divide and conquer** | [notebook](04-) | [slides](03-lists-search-sort-slides.pdf) | [exercices](03-lists-search-sort-exercises.ipynb) +### Lecture 4 - **Programming strategies: divide and conquer** | [notebook](04-programming-strategies.ipynb) | [exercices](exercises/04-05-06-programming-strategies-exercises.ipynb) 📖 [Divide & conquer](https://en.wikibooks.org/wiki/Algorithms/Divide_and_Conquer) @@ -39,40 +39,44 @@ Instructor: [Romain Vuillemot](romain.vuillemot@ec-lyon.fr) ### Lecture 7 - **Stacks and queues** -📖 [Problem Solving with Algorithms](pdf/problemsolving.pdf) chapter 6 (trees and tree algorithms) +chapter 1.2.1 (Queue/Stacks), [Open Data Structures](pdf/ods-python.pdf) + --- -📝 Assignment 1 - Analyzing a simple dataset +📝 Assignment 1 - Analyzing a dataset --- -### Lecture 8 - **Trees** +### Lecture 8 - **Binary trees** 📖 [Problem Solving with Algorithms](pdf/problemsolving.pdf) chapter 6 (trees and tree algorithms) +### Lecture 9 - **Binary trees traversals** -Next topics: - +📖 [Problem Solving with Algorithms](pdf/problemsolving.pdf) chapter 6.7 (trees traversal) -1. **Advanced data structures** +### Lecture 10 - **Trees** -2. **Hashing** +### Lecture 11 - **Trees algorithms** -3. **Tree algorithms** +### Lecture 12 - **Graphs** -4. **Binary and n-trees** +### Lecture 13 - **Graphs spanning trees** -5. **Graphs** +### Lecture 14 - **Graphs matrices** -6. **Graphs algorithms** +### Lecture 15 - **Graphs shortest paths** -7. **Graphs shortest path algorithm** ## Books and ressources - [Think Python](pdf/thinkpython2.pdf), 2nd edition, by Allen B. Downey - [Python for Everybody](pdf/pythonlearn.pdf), by Charles Severance - [Problem Solving with Algorithms and Data Structures using Python](pdf/problemsolving.pdf), by Brad Miller and David Ranum +- [ODS Pyhon](pdf/ods-python.pdf), by Pat Morin ([url](https://opendatastructures.org/ods-python/)) + +Other ressources: + - https://en.wikibooks.org/wiki/Algorithms/ - List of [computer science books](https://freecomputerbooks.com/compscAlgorithmBooks.html) \ No newline at end of file diff --git a/01-data-structures-complexity-exercises.ipynb b/exercises/01-data-structures-complexity-exercises.ipynb similarity index 99% rename from 01-data-structures-complexity-exercises.ipynb rename to exercises/01-data-structures-complexity-exercises.ipynb index de69cd4..0be737d 100644 --- a/01-data-structures-complexity-exercises.ipynb +++ b/exercises/01-data-structures-complexity-exercises.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "136ec072", + "id": "59aef681", "metadata": {}, "source": [ "# UE5 Fundamentals of Algorithms\n", @@ -23,7 +23,7 @@ { "cell_type": "code", "execution_count": null, - "id": "b8c8e619", + "id": "88952ac5", "metadata": {}, "outputs": [], "source": [ @@ -33,7 +33,7 @@ }, { "cell_type": "markdown", - "id": "986b50e4", + "id": "b779c274", "metadata": {}, "source": [ "---" diff --git a/02-recursion-exercises.ipynb b/exercises/02-recursion-exercises.ipynb similarity index 96% rename from 02-recursion-exercises.ipynb rename to exercises/02-recursion-exercises.ipynb index 09f693b..5f854e3 100644 --- a/02-recursion-exercises.ipynb +++ b/exercises/02-recursion-exercises.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "996ed570", + "id": "a14c054e", "metadata": {}, "source": [ "# UE5 Fundamentals of Algorithms\n", @@ -23,7 +23,7 @@ { "cell_type": "code", "execution_count": null, - "id": "a0151651", + "id": "b13780a7", "metadata": {}, "outputs": [], "source": [ @@ -33,7 +33,7 @@ }, { "cell_type": "markdown", - "id": "86da338c", + "id": "67ead887", "metadata": {}, "source": [ "---" @@ -958,7 +958,7 @@ "id": "7fdcd705-dc0b-4614-8e27-9ba62f8fe442", "metadata": {}, "source": [ - "### Exercise 1: Find the maximum value in a list (iterative)\n", + "### Exercise: Find the maximum value in a list (iterative)\n", "\n", "Check that an empty lists raises a `ValueError` exception with a `\"The list is empty.\"` message." ] @@ -984,7 +984,7 @@ "id": "c121315a-4aaa-4e04-912f-73f56555be56", "metadata": {}, "source": [ - "### Exercise 1: Find the maximum value in a list (recursive)\n", + "### Exercise: Find the maximum value in a list (recursive)\n", "\n", "Witout using the built-in `max` function" ] @@ -1049,16 +1049,6 @@ "# Additional tests (do not change)" ] }, - { - "cell_type": "code", - "execution_count": null, - "id": "b8bc657e-d491-4851-aa8c-ac2f2eac0841", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [] - }, { "cell_type": "code", "execution_count": null, @@ -1085,30 +1075,6 @@ "def gen_examples(fnct, n=10):\n", " return [fnct(i) for i in range(0, n)]" ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "d601b2f3-c33b-4ed2-81be-639ce1ffab76", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "1f252530-7817-444c-ae10-d7b3bca87f2d", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "0976f7c2-4375-4d76-a6c1-9e729a6c8aeb", - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { diff --git a/03-lists-search-sort-exercises.ipynb b/exercises/03-lists-search-sort-exercises.ipynb similarity index 91% rename from 03-lists-search-sort-exercises.ipynb rename to exercises/03-lists-search-sort-exercises.ipynb index ad1a423..2ff5741 100644 --- a/03-lists-search-sort-exercises.ipynb +++ b/exercises/03-lists-search-sort-exercises.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "5cbf5ca9", + "id": "f8151910", "metadata": {}, "source": [ "# UE5 Fundamentals of Algorithms\n", @@ -23,7 +23,7 @@ { "cell_type": "code", "execution_count": null, - "id": "43da1f45", + "id": "94c8f6d3", "metadata": {}, "outputs": [], "source": [ @@ -33,7 +33,7 @@ }, { "cell_type": "markdown", - "id": "4d0c6ee6", + "id": "9e5bf33f", "metadata": {}, "source": [ "---" @@ -67,6 +67,61 @@ "list_complexities = [\"O(1)\", \"O(log(n))\", \"O(n)\", \"O(n^2)\", \"O(nlog(n))\", \"O(n^3)\", \"O(2^n)\", \"O(n!)\", \"O(n^n)\"]" ] }, + { + "cell_type": "markdown", + "id": "11a124a7-1279-469a-b091-2833d3fd1a0f", + "metadata": {}, + "source": [ + "## Exercise 0: Search the index first occurence of a target value\n", + "\n", + "_Write a Python function `search_list(L, v)` that takes a list `L` and a target element `v` as input. The function should return the index of the first occurrence of the target element in the list `L`._" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "665c7b64-428d-468a-860b-65d0d12e98e1", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "def search_list(L, target):\n", + " for n, i in enumerate(L):\n", + " if i == target:\n", + " return n\n", + " return -1" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d776ca94-1ed2-4443-91e2-a1591a1690b8", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "search_list([1, 2, 2], 2)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e7b5950c-a6f0-4795-995b-903d717f35c9", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "assert search_list([1, 2, 3, 4, 5], 3) == 2\n", + "assert search_list([1, 2, 3, 4, 5], 6) == -1\n", + "assert search_list([1, 2, 3, 4, 5], 6) == -1\n", + "assert search_list([], 42) == -1\n", + "assert search_list([7, 2, 3, 4, 5], 7) == 0\n", + "assert search_list([1, 2, 3, 4, 5, 6], 7) == -1" + ] + }, { "cell_type": "markdown", "id": "9d813205-b709-42ab-b414-6f3fc947022a", @@ -123,7 +178,7 @@ "editable": false, "nbgrader": { "cell_type": "code", - "checksum": "68b51ac31cc882ccdf9200c444d4e30d", + "checksum": "6054e435b1f5635d18f61f94bfb05e62", "grade": true, "grade_id": "correct_correct_search_list", "locked": true, @@ -140,7 +195,7 @@ "assert search_list([1, 2, 3, 4, 5], 6) == -1\n", "assert search_list([1, 2, 3, 4, 5, 6], 6) == -1\n", "assert search_list([], 42) == -1\n", - "assert search_list([7, 2, 3, 4, 5], 7) == 0\n", + "assert search_list([7, 2, 3, 4, 5, 7], 7) == 0\n", "assert search_list([1, 2, 3, 4, 5, 6], 6) == -1" ] }, @@ -605,7 +660,7 @@ { "cell_type": "code", "execution_count": null, - "id": "74d4e305-f42d-4813-9a77-072989bb7e62", + "id": "2cc14fc2-2714-4242-83e2-31907b8a19f5", "metadata": {}, "outputs": [], "source": [] diff --git a/04-programming-strategies-exercises.ipynb b/exercises/04-05-06-programming-strategies-exercises.ipynb similarity index 57% rename from 04-programming-strategies-exercises.ipynb rename to exercises/04-05-06-programming-strategies-exercises.ipynb index 386d6b5..e79716b 100644 --- a/04-programming-strategies-exercises.ipynb +++ b/exercises/04-05-06-programming-strategies-exercises.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "1523c46c", + "id": "8fa9ea2e", "metadata": {}, "source": [ "# UE5 Fundamentals of Algorithms\n", @@ -23,7 +23,7 @@ { "cell_type": "code", "execution_count": null, - "id": "c984c437", + "id": "6017bb23", "metadata": {}, "outputs": [], "source": [ @@ -33,7 +33,7 @@ }, { "cell_type": "markdown", - "id": "81f8cbf6", + "id": "7dd0e72c", "metadata": {}, "source": [ "---" @@ -141,7 +141,7 @@ "source": [ "## Exercice 2: find two numbers with a given sum\n", "\n", - "_Find two numbers in an array `nums` that add up to a specific target value `target`._" + "_Find two numbers in an array `nums` that add up to a specific target value `target`. Return a list of the values index. Tip: make sure you do not use twice the same array element._" ] }, { @@ -178,7 +178,7 @@ }, "outputs": [], "source": [ - "print(two_sum([1, 2, 3, 4, 5], 4))" + "two_sum([1, 2, 3, 4, 5], 4)" ] }, { @@ -190,7 +190,7 @@ "editable": false, "nbgrader": { "cell_type": "code", - "checksum": "dce1654749f72d16fa3d21a731f0a7ff", + "checksum": "71cc7d97ace17ad8446e79c255727951", "grade": true, "grade_id": "correct_two_sum", "locked": true, @@ -205,7 +205,8 @@ "source": [ "assert two_sum([2, 7, 11, 15], 9) == [0, 1] # 2 + 7 = 9\n", "assert two_sum([3, 2, 4], 6) == [1, 2] # 2 + 4 = 6\n", - "assert two_sum([3, 3], 6) == [0, 1] # 3 + 3 = 6" + "assert two_sum([3, 3], 6) == [0, 1] # 3 + 3 = 6\n", + "assert two_sum([3, 3], 123) == -1 # not possible" ] }, { @@ -219,8 +220,22 @@ "\n", "_Given a list of points find the minimum distance between all the pairs of points._\n", "\n", - "- write a `dist`function\n", - "- define a `closest_point_naive`function using `math.inf`as initial value" + "- write a `dist`function using \n", + "- define a `closest_point_naive`function using `math.inf`as initial value\n", + "\n", + "Tip: make sure you do not use the same point twice!" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "f73f28a4-d39c-497d-9cbb-1c4edd1c628f", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "import math" ] }, { @@ -231,7 +246,7 @@ "deletable": false, "nbgrader": { "cell_type": "code", - "checksum": "ad1d7f9ad703f728fac843c9b6d4cbe1", + "checksum": "e00cddc47958defae9cbbdc89056c923", "grade": false, "grade_id": "cell-8738237c4c6682e4", "locked": false, @@ -243,7 +258,6 @@ }, "outputs": [], "source": [ - "import math\n", "def dist(point1, point2):\n", " # YOUR CODE HERE\n", " raise NotImplementedError()" @@ -257,7 +271,7 @@ "deletable": false, "nbgrader": { "cell_type": "code", - "checksum": "a5504d9e67deeb2651dfc058b5314bb8", + "checksum": "d578bae1b972f9331bf0c4e8918312da", "grade": false, "grade_id": "cell-9ca280911ed42034", "locked": false, @@ -269,7 +283,7 @@ }, "outputs": [], "source": [ - "def closest_point_naive(P, n):\n", + "def closest_point_naive(P):\n", " # YOUR CODE HERE\n", " raise NotImplementedError()" ] @@ -284,7 +298,7 @@ "outputs": [], "source": [ "points = [(1, 2), (4, 6), (7, 8), (3, 5)]\n", - "closest_point_naive(points, len(points))" + "closest_point_naive(points)" ] }, { @@ -296,7 +310,7 @@ "editable": false, "nbgrader": { "cell_type": "code", - "checksum": "17cb3a74f60bcbe305bce69a5b45da65", + "checksum": "7a40093d879cf398bc8ccc735d221027", "grade": true, "grade_id": "cell-618f956021833284", "locked": true, @@ -310,12 +324,19 @@ "outputs": [], "source": [ "points1 = [(1, 2), (4, 6), (0, 0), (0, 0)]\n", - "n1 = len(points1)\n", - "\n", - "result1 = closest_point_naive(points1, n1)\n", - "expected_result1 = 0.0 \n", - "print(result1)\n", - "assert math.isclose(result1, expected_result1, rel_tol=1e-9), f\"Test Case 1 failed: {result1} != {expected_result1}\"" + "closest_point_naive(points1)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "755116cb-456e-48ad-8dfe-bd72617488d9", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "assert math.isclose(closest_point_naive(points1), 0.0, rel_tol=1e-9)" ] }, { @@ -440,8 +461,19 @@ "outputs": [], "source": [ "points1 = [(0, 0), (1, 1), (3, 3), (5, 5)]\n", - "closest1 = closest_point_naive_pair(points1)\n", - "assert closest1 == ((0, 0), (1, 1))" + "closest_point_naive_pair(points1)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "aad82edd-144d-4117-9ee6-485b9e739251", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "assert closest_point_naive_pair(points1) == ((0, 0), (1, 1))" ] }, { @@ -504,7 +536,7 @@ "editable": false, "nbgrader": { "cell_type": "code", - "checksum": "3ca9c06b9c5d3b2b5728138d821e650c", + "checksum": "06abbc717c29465f92ec2b6bc8dc596b", "grade": true, "grade_id": "correct_merge_sort", "locked": true, @@ -517,8 +549,305 @@ }, "outputs": [], "source": [ - "L = [4, 2, 3]\n", - "assert merge_sort(L) == sorted(L)" + "assert merge_sort([4, 2, 3]) == sorted([4, 2, 3])\n", + "assert merge_sort([7, 2, 1]) == [1, 2, 7]" + ] + }, + { + "cell_type": "markdown", + "id": "e5b7304d-7b64-42df-9465-8f4491525a8b", + "metadata": {}, + "source": [ + "# Exercice 6: organize a schedule\n", + "\n", + "_Propose a greedy algorithm that returns a list of time slots that do not overlap._\n", + "\n", + "In this question you may prioritize the ones that end last, so you may sort by [reverse order](https://docs.python.org/3/howto/sorting.html)." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e0ed0841-1255-4bdb-b7f8-e689c2a953af", + "metadata": { + "deletable": false, + "nbgrader": { + "cell_type": "code", + "checksum": "240106e7faa5c05dfe9e32f64f68e3cf", + "grade": false, + "grade_id": "interval_scheduling", + "locked": false, + "schema_version": 3, + "solution": true, + "task": false + }, + "tags": [] + }, + "outputs": [], + "source": [ + "def interval_scheduling(intervals):\n", + " # YOUR CODE HERE\n", + " raise NotImplementedError()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d6a50280-f016-4686-8515-1b4a136c0fd9", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "intervals = [(1, 3), (2, 4), (3, 5), (5, 7), (6, 8)]" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "bd38d673-077d-44b1-b81c-ac7448f5c01c", + "metadata": { + "deletable": false, + "editable": false, + "nbgrader": { + "cell_type": "code", + "checksum": "a1c5ab0cb1fbb052b5567e17549a9723", + "grade": true, + "grade_id": "correct_interval_scheduling", + "locked": true, + "points": 1, + "schema_version": 3, + "solution": false, + "task": false + }, + "tags": [] + }, + "outputs": [], + "source": [ + "assert interval_scheduling(intervals) == [(1, 3), (3, 5), (5, 7)]" + ] + }, + { + "cell_type": "markdown", + "id": "c142c3b3-2f01-48d0-8596-601bb133542b", + "metadata": { + "tags": [] + }, + "source": [ + "Now you may prioritize the ones that are the longest." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "095836b8-2612-4d58-a9ce-b7968489418c", + "metadata": { + "deletable": false, + "nbgrader": { + "cell_type": "code", + "checksum": "b448fda533da03916276f3f7701f1a59", + "grade": false, + "grade_id": "interval_scheduling_longest", + "locked": false, + "schema_version": 3, + "solution": true, + "task": false + }, + "tags": [] + }, + "outputs": [], + "source": [ + "def interval_scheduling_longest(intervals):\n", + " # YOUR CODE HERE\n", + " raise NotImplementedError()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "c87ae1e2-7497-4920-9597-d1b3cddf8580", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "interval_scheduling_longest([(0, 4), (3, 5), (5, 7)])" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "afcf3a69-aa36-4b71-93a8-218337ed88b9", + "metadata": { + "deletable": false, + "editable": false, + "nbgrader": { + "cell_type": "code", + "checksum": "5eb8ff6c627cab5c24af63f377eb221e", + "grade": true, + "grade_id": "correct_interval_scheduling_longest", + "locked": true, + "points": 1, + "schema_version": 3, + "solution": false, + "task": false + }, + "tags": [] + }, + "outputs": [], + "source": [ + "assert interval_scheduling_longest([(0, 4), (3, 5), (5, 7)]) == [(0, 4), (5, 7)]" + ] + }, + { + "cell_type": "markdown", + "id": "a559e4db-9ef2-4d20-bb9f-cb638d8c1f24", + "metadata": {}, + "source": [ + "# Exercice 7: knapsack problem\n", + "\n", + "Propose a greedy solution for the Kanpsack problem defined as follows:\n", + "\n", + "$\\sum_{i=1}^n w_i x_i \\leq W$ and $x_i \\in \\{0,1,2,\\dots,c\\}$\n", + "\n", + "Which selects the item with the least weight that can fit within the knapsack's capacity at each step " + ] + }, + { + "cell_type": "markdown", + "id": "5833bde3-1960-43ad-b140-381ac6dd228c", + "metadata": {}, + "source": [ + "`W:` The maximum weight capacity of the knapsack.\n", + "\n", + "`w:` A list of item weights.\n", + "\n", + "`n:` The number of items available to choose from.\n", + "\n", + "Tip:\n", + "\n", + "- Initialize with all the item indices of the remaining items\n", + "- Start with an empty knapsack of total weight 0\n", + "- Create a loop that selects the best item from the remaining (with least weight)\n", + "- Add the item to the knapsack and remove it from the list of items\n", + "- Return the total weight and list of items used" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "46947633-3f5f-420b-b416-500a0dab4fcb", + "metadata": { + "deletable": false, + "nbgrader": { + "cell_type": "code", + "checksum": "4d258685229c335d689928bcd6c973ec", + "grade": false, + "grade_id": "cell-0bf75b2bfe8e2e4c", + "locked": false, + "schema_version": 3, + "solution": true, + "task": false + }, + "tags": [] + }, + "outputs": [], + "source": [ + "def greedy_knapsack(W, wt):\n", + " # YOUR CODE HERE\n", + " raise NotImplementedError()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "737df134-4ee1-49a9-9034-da3b0267ae84", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "weights = [5, 3, 4, 2]\n", + "max_weight = 5\n", + "\n", + "result, selected_weights = greedy_knapsack(max_weight, weights)\n", + "print(\"Total weight:\", result, \"and selected weights:\", selected_weights)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "a66c6e52-2d60-4423-bc3a-a3dcef38da26", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "assert greedy_knapsack(5, [2, 3, 4, 5]) == (5, [2, 3])" + ] + }, + { + "cell_type": "markdown", + "id": "37ff64e9-fc2c-4593-b85a-d83982445b9d", + "metadata": {}, + "source": [ + "Propose a dynamic programming solution following the general case:\n", + "\n", + "$\n", + "dp[i][w] = \n", + "\\begin{cases}\n", + "0 & \\text{if } i = 0 \\text{ or } w = 0 \\\\\n", + "dp[i-1][w] & \\text{if } w_i > w \\\\\n", + "\\max(dp[i-1][w], w_i + dp[i-1][w - w_i]) & \\text{otherwise}\n", + "\\end{cases}$" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2be5f2f7-d9a5-4cf0-afe4-5a5a54ee0434", + "metadata": { + "deletable": false, + "nbgrader": { + "cell_type": "code", + "checksum": "f5b1cc2b31e32e2468be56b84bf67cb3", + "grade": false, + "grade_id": "cell-5dc5571a7aca5b0f", + "locked": false, + "schema_version": 3, + "solution": true, + "task": false + }, + "tags": [] + }, + "outputs": [], + "source": [ + "def dynamic_knapsack(W, wt):\n", + " # YOUR CODE HERE\n", + " raise NotImplementedError()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "5adf0e0e-73c4-4656-b546-5b02347f1a28", + "metadata": {}, + "outputs": [], + "source": [ + "weights = [2, 3, 4, 5]\n", + "max_weight = 5\n", + "result, selected_weights = dynamic_knapsack(max_weight, weights)\n", + "print(\"Total weight:\", result, \"and selected weights:\", selected_weights)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "935873d5-14ee-4b79-9e6a-c692d1c73a9a", + "metadata": {}, + "outputs": [], + "source": [ + "assert dynamic_knapsack(max_weight, weights) == (5, [3, 2])" ] } ], diff --git a/exercises/07-stacks-queues.ipynb b/exercises/07-stacks-queues.ipynb new file mode 100644 index 0000000..de89e54 --- /dev/null +++ b/exercises/07-stacks-queues.ipynb @@ -0,0 +1,333 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "bfc5eefb", + "metadata": {}, + "source": [ + "# UE5 Fundamentals of Algorithms\n", + "## Exercices\n", + "### Ecole Centrale de Lyon, Bachelor of Science in Data Science for Responsible Business\n", + "#### [Romain Vuillemot](https://romain.vuillemot.net/)\n", + "\n", + "Before you turn this problem in:\n", + "- make sure everything runs as expected. \n", + " - first, **restart the kernel** (in the menubar, select Kernel$\\rightarrow$Restart) \n", + " - then **run all cells** (in the menubar, select Cell$\\rightarrow$Run All).\n", + "- make sure you fill in any place that says `YOUR CODE HERE` or \"YOUR ANSWER HERE\"\n", + "- remove `raise NotImplementedError()` to get started with your answer\n", + "- bonus points (at the end of this notebook) are optionals\n", + "- write your name (and collaborators as a list if any) below:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ebe01f37", + "metadata": {}, + "outputs": [], + "source": [ + "ID = \"\"\n", + "COLLABORATORS_ID = []" + ] + }, + { + "cell_type": "markdown", + "id": "796b04b3", + "metadata": {}, + "source": [ + "---" + ] + }, + { + "cell_type": "markdown", + "id": "2f1f2dcd-96a9-45ef-90a6-4ad488635679", + "metadata": {}, + "source": [ + "# Stacks and queues" + ] + }, + { + "cell_type": "markdown", + "id": "b9bd540c-dd15-49ac-bfbd-f2e758688a85", + "metadata": { + "tags": [] + }, + "source": [ + "---" + ] + }, + { + "cell_type": "markdown", + "id": "03a0653e-65c2-4e79-9e83-31765cf19098", + "metadata": {}, + "source": [ + "## Exercise 1: Reverse a string using a Stack\n", + "\n", + "_Use the `Stack` below to reverse a string given as input._" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "4932473d-2734-4e81-b777-ca10decfd9e8", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "class Stack:\n", + " def __init__(self):\n", + " self.items = []\n", + "\n", + " def push(self, item):\n", + " self.items.append(item)\n", + "\n", + " def pop(self):\n", + " if not self.is_empty():\n", + " return self.items.pop()\n", + "\n", + " def peek(self):\n", + " if not self.is_empty():\n", + " return self.items[-1]\n", + "\n", + " def is_empty(self):\n", + " return len(self.items) == 0" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "8b77ae34-ef7c-4664-94e0-8928156f2224", + "metadata": { + "deletable": false, + "nbgrader": { + "cell_type": "code", + "checksum": "128a37273e0e5da052abe4bf08bb1c27", + "grade": false, + "grade_id": "cell-5b0828e97507162e", + "locked": false, + "schema_version": 3, + "solution": true, + "task": false + }, + "tags": [] + }, + "outputs": [], + "source": [ + "def reverse_string(s):\n", + " # YOUR CODE HERE\n", + " raise NotImplementedError()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "63719c8e-f60c-4544-8e41-cb6380ae4bcf", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "reverse_string(\"Hello\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "81e93620-0664-4a9d-ba5f-894937c9769e", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "assert reverse_string(\"Hello\") == \"olleH\" " + ] + }, + { + "cell_type": "markdown", + "id": "81df9b1e-cfe5-4b69-96a5-c8065259cc7d", + "metadata": {}, + "source": [ + "## Exercise 2: Check if a word is a palindrom (using a Stack)\n", + "_A palindrome is a sequence of characters that reads the same forward and backward._" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "cf6fbdd5-53c5-45c2-a0c5-a5ed845c4f81", + "metadata": { + "deletable": false, + "nbgrader": { + "cell_type": "code", + "checksum": "048d788477e620bf78240329c0dd8771", + "grade": false, + "grade_id": "is_palindrome", + "locked": false, + "schema_version": 3, + "solution": true, + "task": false + }, + "tags": [] + }, + "outputs": [], + "source": [ + "def is_palindrome(s):\n", + " # YOUR CODE HERE\n", + " raise NotImplementedError()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "586bafba-2fbb-4833-b2e3-609db9b28fbf", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "is_palindrome(\"ABA\")" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d0005a10-9152-4aa5-a94b-fcbff1bd2281", + "metadata": { + "deletable": false, + "editable": false, + "nbgrader": { + "cell_type": "code", + "checksum": "4165b33ba9b75546b0edd15216e61e4f", + "grade": true, + "grade_id": "correct_is_palindrome", + "locked": true, + "points": 0, + "schema_version": 3, + "solution": false, + "task": false + }, + "tags": [] + }, + "outputs": [], + "source": [ + "assert is_palindrome(\"ABA\")" + ] + }, + { + "cell_type": "markdown", + "id": "f767bf25-9f4f-4a0d-8cb9-b729bbec5c27", + "metadata": {}, + "source": [ + "## Exercise 3: Implement a min-heap\n", + "\n", + "Use a `PriorityQueue` to return the smallest element when using `pop` of a stack (or a queue). " + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ddcccaf6-d235-4327-826f-7a62a4c23f28", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "from queue import PriorityQueue" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2da2db1e-f55d-43b4-877f-96ef944818e8", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "# how to use the modue\n", + "priority_queue = PriorityQueue()\n", + "priority_queue.put((3, 'apple'))\n", + "priority_queue.put((1, 'banana'))\n", + "priority_queue.put((2, 'cherry'))\n", + "element = priority_queue.get()\n", + "print(element)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "804ea32d-5bf8-42b9-ae52-6318b26f4065", + "metadata": { + "deletable": false, + "nbgrader": { + "cell_type": "code", + "checksum": "7f6b90fc037aa2a24fa9ce3b4dfca6dd", + "grade": false, + "grade_id": "cell-4b9a5ecdee87514e", + "locked": false, + "schema_version": 3, + "solution": true, + "task": false + }, + "tags": [] + }, + "outputs": [], + "source": [ + "# YOUR CODE HERE\n", + "raise NotImplementedError()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1b2d28c4-277b-44fa-b7e8-590aa00f8f70", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "min_heap = MinHeap()\n", + "min_heap.insert(5)\n", + "min_heap.insert(3)\n", + "min_heap.insert(8)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ed61bced-f000-41c6-8ecd-d669b4edb700", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "assert min_heap.pop() == 3\n", + "assert min_heap.peek() == 5\n", + "assert min_heap.peek() == 5" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + 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a/solutions/02-recursion-exercises.ipynb b/solutions/02-recursion-exercises.ipynb index 57912dd..0329eb8 100644 --- a/solutions/02-recursion-exercises.ipynb +++ b/solutions/02-recursion-exercises.ipynb @@ -1025,7 +1025,7 @@ "id": "7fdcd705-dc0b-4614-8e27-9ba62f8fe442", "metadata": {}, "source": [ - "### Exercise 1: Find the maximum value in a list (iterative)\n", + "### Exercise: Find the maximum value in a list (iterative)\n", "\n", "Check that an empty lists raises a `ValueError` exception with a `\"The list is empty.\"` message." ] @@ -1051,7 +1051,7 @@ "id": "c121315a-4aaa-4e04-912f-73f56555be56", "metadata": {}, "source": [ - "### Exercise 1: Find the maximum value in a list (recursive)\n", + "### Exercise: Find the maximum value in a list (recursive)\n", "\n", "Witout using the built-in `max` function" ] @@ -1116,16 +1116,6 @@ "# Additional tests (do not change)" ] }, - { - "cell_type": "code", - "execution_count": 45, - "id": "b8bc657e-d491-4851-aa8c-ac2f2eac0841", - "metadata": { - "tags": [] - }, - "outputs": [], - "source": [] - }, { "cell_type": "code", "execution_count": 66, @@ -1152,30 +1142,6 @@ "def gen_examples(fnct, n=10):\n", " return [fnct(i) for i in range(0, n)]" ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "d601b2f3-c33b-4ed2-81be-639ce1ffab76", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "1f252530-7817-444c-ae10-d7b3bca87f2d", - "metadata": {}, - "outputs": [], - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "0976f7c2-4375-4d76-a6c1-9e729a6c8aeb", - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { diff --git a/solutions/03-lists-search-sort-exercises.ipynb b/solutions/03-lists-search-sort-exercises.ipynb new file mode 100644 index 0000000..0edce77 --- /dev/null +++ b/solutions/03-lists-search-sort-exercises.ipynb @@ -0,0 +1,685 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "id": "e58599e3-9ab7-4d43-bb22-aeccade424ce", + "metadata": {}, + "source": [ + "# Lists, search, sort" + ] + }, + { + "cell_type": "markdown", + "id": "691b3c38-0e83-4bb2-ac90-ef76d2dd9a7a", + "metadata": {}, + "source": [ + "---" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "1095285f-26e2-43ce-a1c5-9358c5256a0b", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "list_complexities = [\"O(1)\", \"O(log(n))\", \"O(n)\", \"O(n^2)\", \"O(nlog(n))\", \"O(n^3)\", \"O(2^n)\", \"O(n!)\", \"O(n^n)\"]" + ] + }, + { + "cell_type": "markdown", + "id": "11a124a7-1279-469a-b091-2833d3fd1a0f", + "metadata": {}, + "source": [ + "## Exercise 0: Search the index first occurence of a target value\n", + "\n", + "_Write a Python function `search_list(L, v)` that takes a list `L` and a target element `v` as input. The function should return the index of the first occurrence of the target element in the list `L`._" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "665c7b64-428d-468a-860b-65d0d12e98e1", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "def search_list(L, target):\n", + " for n, i in enumerate(L):\n", + " if i == target:\n", + " return n\n", + " return -1" + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "d776ca94-1ed2-4443-91e2-a1591a1690b8", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "1" + ] + }, + "execution_count": 16, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "search_list([1, 2, 2], 2)" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "e7b5950c-a6f0-4795-995b-903d717f35c9", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "assert search_list([1, 2, 3, 4, 5], 3) == 2\n", + "assert search_list([1, 2, 3, 4, 5], 6) == -1\n", + "assert search_list([1, 2, 3, 4, 5], 6) == -1\n", + "assert search_list([], 42) == -1\n", + "assert search_list([7, 2, 3, 4, 5], 7) == 0\n", + "assert search_list([1, 2, 3, 4, 5, 6], 7) == -1" + ] + }, + { + "cell_type": "markdown", + "id": "9d813205-b709-42ab-b414-6f3fc947022a", + "metadata": {}, + "source": [ + "## Exercise 1: Search in a list with an odd index\n", + "\n", + "_Write a Python function `search_list(L, v)` that takes a list `L` and a target element `v` as input. The function should return the index of the first occurrence of the target element in the list `L`._" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "id": "f3b233ec-7077-479d-9c04-f1a4c35f3111", + "metadata": { + "nbgrader": { + "grade": false, + "grade_id": "search_list", + "locked": false, + "schema_version": 3, + "solution": true, + "task": false + }, + "tags": [] + }, + "outputs": [], + "source": [ + "def search_list(L, target):\n", + " ### BEGIN SOLUTION\n", + " for i, element in enumerate(L):\n", + " if element == target and i % 2 == 0:\n", + " return i\n", + " return -1\n", + " ### END SOLUTION" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "id": "f280eeea-4812-4a30-80b5-3fe1cafa9283", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "data": { + "text/plain": [ + "-1" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "search_list([1, 2, 2], 3)" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "id": "423d2637-8bd6-4e8f-95ff-2765dae5bce7", + "metadata": { + "nbgrader": { + "grade": true, + "grade_id": "correct_correct_search_list", + "locked": true, + "points": 1, + "schema_version": 3, + "solution": false, + "task": false + }, + "tags": [] + }, + "outputs": [], + "source": [ + "assert search_list([1, 2, 3, 4, 5], 3) == 2\n", + "assert search_list([1, 2, 3, 4, 5], 6) == -1\n", + "assert search_list([1, 2, 3, 4, 5, 6], 6) == -1\n", + "assert search_list([], 42) == -1\n", + "assert search_list([7, 2, 3, 4, 5, 7], 7) == 0\n", + "assert search_list([1, 2, 3, 4, 5, 6], 6) == -1" + ] + }, + { + "cell_type": "markdown", + "id": "6d8dc6cd-aad0-42a9-b768-6a1a5289e354", + "metadata": {}, + "source": [ + "## Exercise 2: Sort a list of tuples\n", + "\n", + "_Given a list of lists of length N, sort by the N-th element of the list._" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "id": "8271ff47-efb4-48a0-ac4c-bba6ede7e578", + "metadata": { + "nbgrader": { + "grade": false, + "grade_id": "sort_list_of_lists_by_nth_element", + "locked": false, + "schema_version": 3, + "solution": true, + "task": false + }, + "tags": [] + }, + "outputs": [], + "source": [ + "def sort_list_of_lists_by_nth_element(list_of_lists, N):\n", + " ### BEGIN SOLUTION\n", + " sorted_list = sorted(list_of_lists, key=lambda x: x[N])\n", + " return sorted_list\n", + " ### END SOLUTION" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "4577bd24-9e50-4172-8246-d1bccfa21618", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[[3, 5, 1], [2, 8, 3], [7, 4, 6], [1, 2, 9]]\n" + ] + } + ], + "source": [ + "list_of_lists = [[3, 5, 1], [1, 2, 9], [7, 4, 6], [2, 8, 3]]\n", + "sorted_list = sort_list_of_lists_by_nth_element(list_of_lists, 2)\n", + "print(sorted_list)" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "ed3cdeed-07fa-461f-b7ae-210e1605ca76", + "metadata": { + "nbgrader": { + "grade": true, + "grade_id": "correct_sort_list_of_lists_by_nth_element", + "locked": true, + "points": 1, + "schema_version": 3, + "solution": false, + "task": false + }, + "tags": [] + }, + "outputs": [], + "source": [ + "list1 = [[3, 5, 1], [1, 2, 9], [7, 4, 6], [2, 8, 3]]\n", + "sorted_list1 = sort_list_of_lists_by_nth_element(list1, 2)\n", + "assert sorted_list1 == [[3, 5, 1], [2, 8, 3], [7, 4, 6], [1, 2, 9]], \"Test Case 1 Failed\"\n", + "\n", + "list2 = [[9, 5, 7], [3, 6, 1], [0, 2, 4], [8, 1, 5]]\n", + "sorted_list2 = sort_list_of_lists_by_nth_element(list2, 0)\n", + "assert sorted_list2 == [[0, 2, 4], [3, 6, 1], [8, 1, 5], [9, 5, 7]], \"Test Case 2 Failed\"\n", + "\n", + "list3 = [[1, 2, 3], [4, 5, 6], [7, 8, 9]]\n", + "sorted_list3 = sort_list_of_lists_by_nth_element(list3, 1)\n", + "assert sorted_list3 == [[1, 2, 3], [4, 5, 6], [7, 8, 9]], \"Test Case 3 Failed\"\n" + ] + }, + { + "cell_type": "markdown", + "id": "0bbda1ba-a5e7-4a1d-a742-84d0215b1e24", + "metadata": {}, + "source": [ + "## Exercise 3: Access a list element\n", + "\n", + "_Given an input list `L`, and `index` value, access a given `key` and return the value._" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "id": "2d6a6f11-d24b-4f0e-a7d2-298243e35c4d", + "metadata": { + "nbgrader": { + "grade": false, + "grade_id": "cell-1ab0b636df63501a", + "locked": false, + "schema_version": 3, + "solution": true, + "task": false + }, + "tags": [] + }, + "outputs": [], + "source": [ + "def access_dict_element(L, index, key):\n", + " ### BEGIN SOLUTION\n", + " if 0 <= index < len(L):\n", + " if key in L[index]:\n", + " return L[index][key]\n", + " ### END SOLUTION" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "ea0883dc-d08c-40ea-9e0b-4f0a3abc517f", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Alice\n" + ] + } + ], + "source": [ + "example_list = [{'name': 'Alice', 'age': 30}, {'name': 'Bob', 'age': 25}]\n", + "result = access_dict_element(example_list, 0, 'name')\n", + "print(result) " + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "88ae441e-58b1-4d6c-a639-530919658d03", + "metadata": { + "nbgrader": { + "grade": true, + "grade_id": "correct_access_dict_element", + "locked": true, + "points": 1, + "schema_version": 3, + "solution": false, + "task": false + }, + "tags": [] + }, + "outputs": [], + "source": [ + "example_list = [{'name': 'Alice', 'age': 30}, {'name': 'Bob', 'age': 25}]\n", + "assert access_dict_element(example_list, 0, 'name') == 'Alice'\n", + "assert access_dict_element(example_list, 1, 'city') is None\n", + "assert access_dict_element(example_list, 2, 'name') is None\n", + "assert access_dict_element(example_list, 0, 'city') is None" + ] + }, + { + "cell_type": "markdown", + "id": "98405b12-ad61-4007-8c9f-6955d238df41", + "metadata": { + "tags": [] + }, + "source": [ + "## Exercise 4: Remove Elements from a List\n", + "\n", + "_Write a Python function `remove_elements(L, condition)` that takes a list `L` and a function `condition` as input._" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "id": "e079e47b-2f9e-42d1-a78b-56c92ad84d63", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "def is_odd(x):\n", + " return x % 2 != 0" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "536734bd-d4cc-4f83-8042-3c0e774c4034", + "metadata": { + "nbgrader": { + "grade": false, + "grade_id": "remove_elements", + "locked": false, + "schema_version": 3, + "solution": true, + "task": false + }, + "tags": [] + }, + "outputs": [], + "source": [ + "def remove_elements(lst, condition):\n", + " ### BEGIN SOLUTION\n", + " lst[:] = [x for x in lst if not condition(x)]\n", + " ### END SOLUTION" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "a65bb6f1-b7c7-4156-ba8b-9b72a25616f3", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[2, 4, 6, 8]\n" + ] + } + ], + "source": [ + "my_list = [1, 2, 3, 4, 5, 6, 7, 8, 9]\n", + "remove_elements(my_list, is_odd)\n", + "print(my_list) # Should print [2, 4, 6, 8]" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "id": "254155dc-b271-4881-ac65-5a11d13990ea", + "metadata": { + "nbgrader": { + "grade": true, + "grade_id": "correct_remove_elements", + "locked": true, + "points": 1, + "schema_version": 3, + "solution": false, + "task": false + }, + "tags": [] + }, + "outputs": [], + "source": [ + "test_list_1 = [12, 5, 18, 9, 25, 3, 15]\n", + "remove_elements(test_list_1, lambda x: x > 10)\n", + "assert test_list_1 == [5, 9, 3], \"Remove greater than 30\"\n", + "\n", + "test_list_2 = [-3, 7, -9, 2, 0, -1, 8]\n", + "remove_elements(test_list_2, lambda x: x < 0)\n", + "assert test_list_2 == [7, 2, 0, 8], \"Remove negative elements\"\n", + "\n", + "def custom_condition(x):\n", + " return x % 3 == 0\n", + "test_list_3 = [1, 2, 3, 4, 5, 6, 7, 8, 9]\n", + "remove_elements(test_list_3, custom_condition)\n", + "assert test_list_3 == [1, 2, 4, 5, 7, 8]\n", + "\n", + "test_list_4 = [42, 99, 101]\n", + "remove_elements(test_list_4, lambda x: True)\n", + "assert test_list_4 == [], \"Remove all elements\"\n", + "\n", + "test_list_5 = [10, 20, 30, 40]\n", + "remove_elements(test_list_5, lambda x: False)\n", + "assert test_list_5 == [10, 20, 30, 40], \"No element to remove\"" + ] + }, + { + "cell_type": "markdown", + "id": "d75dba4b-ac22-4f2c-9a6c-cf333b1ec5e8", + "metadata": {}, + "source": [ + "## Exercise 5: Sort a dictionnary by values\n", + "\n", + "List a dictionnary (not a list!) by value." + ] + }, + { + "cell_type": "code", + "execution_count": 16, + "id": "556be9d8-b8c3-4f1d-bcb1-8f099968af9d", + "metadata": { + "nbgrader": { + "grade": false, + "grade_id": "sort_dict_by_values", + "locked": false, + "schema_version": 3, + "solution": true, + "task": false + }, + "tags": [] + }, + "outputs": [], + "source": [ + "def sort_dict_by_values(input_dict):\n", + " ### BEGIN SOLUTION\n", + " sorted_items = sorted(input_dict.items(), key=lambda item: item[1])\n", + " sorted_dict = {}\n", + " for key, value in sorted_items:\n", + " sorted_dict[key] = value\n", + " ### END SOLUTION\n", + " return sorted_dict" + ] + }, + { + "cell_type": "code", + "execution_count": 17, + "id": "3c32c4ee-56f5-46b5-a8b6-b740e6d5fef5", + "metadata": { + "tags": [] + }, + "outputs": [], + "source": [ + "test_dict3 = {'c': 3, 'b': 2, 'a': 1}\n", + "sorted_dict3 = sort_dict_by_values(test_dict3)\n", + "assert sorted_dict3 == {'a': 1, 'b': 2, 'c': 3}" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "id": "532e5225-a2d8-4c10-a036-1efde9acc5fd", + "metadata": { + "nbgrader": { + "grade": true, + "grade_id": "correct_sort_dict_by_values", + "locked": true, + "points": 0, + "schema_version": 3, + "solution": false, + "task": false + }, + "tags": [] + }, + "outputs": [], + "source": [ + "test_dict = {'banana': 3, 'apple': 1, 'cherry': 2}\n", + "sorted_dict = sort_dict_by_values(test_dict)\n", + "assert sorted_dict == {'apple': 1, 'cherry': 2, 'banana': 3}\n", + "\n", + "test_dict2 = {'zebra': 42, 'lion': 7, 'elephant': 15, 'giraffe': 23}\n", + "sorted_dict2 = sort_dict_by_values(test_dict2)\n", + "assert sorted_dict2 == {'lion': 7, 'elephant': 15, 'giraffe': 23, 'zebra': 42}\n", + "\n", + "test_dict3 = {'one': 3, 'two': 3, 'three': 3, 'four': 3}\n", + "sorted_dict3 = sort_dict_by_values(test_dict3)\n", + "assert sorted_dict3 == {'one': 3, 'two': 3, 'three': 3, 'four': 3}" + ] + }, + { + "cell_type": "markdown", + "id": "fef2ad7f-55ef-43f2-991d-5067bb085eb6", + "metadata": {}, + "source": [ + "## Exercise 6: insertion sort\n", + "\n", + "Implement the `insertion sort` that operates as follows:\n", + "\n", + "- Start with an unsorted list.\n", + "- Iterate through each element in the list.\n", + "- For each element, compare it with the elements to its left in the list.\n", + "- Move elements to the right until you find the correct position for the current element.\n", + "- Insert the current element into its proper place in the sorted portion of the list.\n", + "- Repeat this process for all elements, gradually building a sorted list from left to right." + ] + }, + { + "cell_type": "code", + "execution_count": 19, + "id": "51a86852-f8e2-4c05-8053-13fdf2a4832b", + "metadata": { + "nbgrader": { + "grade": false, + "grade_id": "insertion_sort", + "locked": false, + "schema_version": 3, + "solution": true, + "task": false + }, + "tags": [] + }, + "outputs": [], + "source": [ + "def insertion_sort(arr):\n", + " ### BEGIN SOLUTION\n", + " for i in range(1, len(arr)):\n", + " key = arr[i]\n", + " j = i - 1\n", + " while j >= 0 and key < arr[j]:\n", + " arr[j + 1] = arr[j]\n", + " j -= 1\n", + " arr[j + 1] = key\n", + " return arr\n", + " ### END SOLUTION" + ] + }, + { + "cell_type": "code", + "execution_count": 20, + "id": "fbfa74f1-4675-452f-897b-21b0c7025f81", + "metadata": { + "tags": [] + }, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "[1, 2, 3, 4, 5]\n" + ] + } + ], + "source": [ + "print(insertion_sort([2, 1, 3, 4, 5]))" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "id": "266e89e0-4b59-441f-bb67-69ad4e35e2a9", + "metadata": { + "nbgrader": { + "grade": true, + "grade_id": "correct_insertion_sort", + "locked": true, + "points": 1, + "schema_version": 3, + "solution": false, + "task": false + }, + "tags": [] + }, + "outputs": [], + "source": [ + "# Test case 2: Already sorted list\n", + "arr = [1, 2, 3, 4, 5]\n", + "assert insertion_sort(arr) == arr\n", + "\n", + "# Test case 3: Reverse sorted list\n", + "arr = [5, 4, 3, 2, 1]\n", + "assert insertion_sort(arr) == [1, 2, 3, 4, 5]\n", + "\n", + "# Test case 4: Random order list\n", + "arr = [3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5]\n", + "assert insertion_sort(arr) == [1, 1, 2, 3, 3, 4, 5, 5, 5, 6, 9]" + ] + }, + { + "cell_type": "markdown", + "id": "ab78dd44-bb6a-451d-8642-223639d31bf9", + "metadata": {}, + "source": [ + "## Bonus\n", + "\n", + "You may get bonus points for the following answers:\n", + "\n", + "- add exceptions https://docs.python.org/3/library/exceptions.html\n", + "- add more test cases" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "2cc14fc2-2714-4242-83e2-31907b8a19f5", + "metadata": {}, + "outputs": [], + "source": [] + } + ], + "metadata": { + "kernelspec": { + "display_name": "Python 3 (ipykernel)", + "language": "python", + "name": "python3" + }, + "language_info": { + "codemirror_mode": { + "name": "ipython", + "version": 3 + }, + "file_extension": ".py", + "mimetype": "text/x-python", + "name": "python", + "nbconvert_exporter": "python", + "pygments_lexer": "ipython3", + "version": "3.10.9" + } + }, + "nbformat": 4, + "nbformat_minor": 5 +} -- GitLab