repo stringlengths 7 90 | file_url stringlengths 81 315 | file_path stringlengths 4 228 | content stringlengths 0 32.8k | language stringclasses 1
value | license stringclasses 7
values | commit_sha stringlengths 40 40 | retrieved_at stringdate 2026-01-04 14:38:15 2026-01-05 02:33:18 | truncated bool 2
classes |
|---|---|---|---|---|---|---|---|---|
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/backtracking/knight_tour.py | backtracking/knight_tour.py | # Knight Tour Intro: https://www.youtube.com/watch?v=ab_dY3dZFHM
from __future__ import annotations
def get_valid_pos(position: tuple[int, int], n: int) -> list[tuple[int, int]]:
"""
Find all the valid positions a knight can move to from the current position.
>>> get_valid_pos((1, 3), 4)
[(2, 1), (0... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/backtracking/word_break.py | backtracking/word_break.py | """
Word Break Problem is a well-known problem in computer science.
Given a string and a dictionary of words, the task is to determine if
the string can be segmented into a sequence of one or more dictionary words.
Wikipedia: https://en.wikipedia.org/wiki/Word_break_problem
"""
def backtrack(input_string: str, word_... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/backtracking/hamiltonian_cycle.py | backtracking/hamiltonian_cycle.py | """
A Hamiltonian cycle (Hamiltonian circuit) is a graph cycle
through a graph that visits each node exactly once.
Determining whether such paths and cycles exist in graphs
is the 'Hamiltonian path problem', which is NP-complete.
Wikipedia: https://en.wikipedia.org/wiki/Hamiltonian_path
"""
def valid_connection(
... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/backtracking/crossword_puzzle_solver.py | backtracking/crossword_puzzle_solver.py | # https://www.geeksforgeeks.org/solve-crossword-puzzle/
def is_valid(
puzzle: list[list[str]], word: str, row: int, col: int, vertical: bool
) -> bool:
"""
Check if a word can be placed at the given position.
>>> puzzle = [
... ['', '', '', ''],
... ['', '', '', ''],
... ['', ... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/backtracking/n_queens.py | backtracking/n_queens.py | """
The nqueens problem is of placing N queens on a N * N
chess board such that no queen can attack any other queens placed
on that chess board.
This means that one queen cannot have any other queen on its horizontal, vertical and
diagonal lines.
"""
from __future__ import annotations
solution = []
def is_safe(bo... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/backtracking/all_permutations.py | backtracking/all_permutations.py | """
In this problem, we want to determine all possible permutations
of the given sequence. We use backtracking to solve this problem.
Time complexity: O(n! * n),
where n denotes the length of the given sequence.
"""
from __future__ import annotations
def generate_all_permutations(sequence: list[int | str]) -> None:... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/backtracking/generate_parentheses_iterative.py | backtracking/generate_parentheses_iterative.py | def generate_parentheses_iterative(length: int) -> list:
"""
Generate all valid combinations of parentheses (Iterative Approach).
The algorithm works as follows:
1. Initialize an empty list to store the combinations.
2. Initialize a stack to keep track of partial combinations.
3. Start with emp... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/backtracking/rat_in_maze.py | backtracking/rat_in_maze.py | from __future__ import annotations
def solve_maze(
maze: list[list[int]],
source_row: int,
source_column: int,
destination_row: int,
destination_column: int,
) -> list[list[int]]:
"""
This method solves the "rat in maze" problem.
Parameters :
- maze: A two dimensional matrix of... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/backtracking/n_queens_math.py | backtracking/n_queens_math.py | r"""
Problem:
The n queens problem is: placing N queens on a N * N chess board such that no queen
can attack any other queens placed on that chess board. This means that one queen
cannot have any other queen on its horizontal, vertical and diagonal lines.
Solution:
To solve this problem we will use simple math. Fir... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/backtracking/sum_of_subsets.py | backtracking/sum_of_subsets.py | """
The sum-of-subsets problem states that a set of non-negative integers, and a
value M, determine all possible subsets of the given set whose summation sum
equal to given M.
Summation of the chosen numbers must be equal to given number M and one number
can be used only once.
"""
def generate_sum_of_subsets_solutio... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/backtracking/word_search.py | backtracking/word_search.py | """
Author : Alexander Pantyukhin
Date : November 24, 2022
Task:
Given an m x n grid of characters board and a string word,
return true if word exists in the grid.
The word can be constructed from letters of sequentially adjacent cells,
where adjacent cells are horizontally or vertically neighboring.
The same let... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/backtracking/match_word_pattern.py | backtracking/match_word_pattern.py | def match_word_pattern(pattern: str, input_string: str) -> bool:
"""
Determine if a given pattern matches a string using backtracking.
pattern: The pattern to match.
input_string: The string to match against the pattern.
return: True if the pattern matches the string, False otherwise.
>>> matc... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/backtracking/all_subsequences.py | backtracking/all_subsequences.py | """
In this problem, we want to determine all possible subsequences
of the given sequence. We use backtracking to solve this problem.
Time complexity: O(2^n),
where n denotes the length of the given sequence.
"""
from __future__ import annotations
from typing import Any
def generate_all_subsequences(sequence: list... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/backtracking/minimax.py | backtracking/minimax.py | """
Minimax helps to achieve maximum score in a game by checking all possible moves
depth is current depth in game tree.
nodeIndex is index of current node in scores[].
if move is of maximizer return true else false
leaves of game tree is stored in scores[]
height is maximum height of Game tree
"""
from __future__ im... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/backtracking/all_combinations.py | backtracking/all_combinations.py | """
In this problem, we want to determine all possible combinations of k
numbers out of 1 ... n. We use backtracking to solve this problem.
Time complexity: O(C(n,k)) which is O(n choose k) = O((n!/(k! * (n - k)!))),
"""
from __future__ import annotations
from itertools import combinations
def combination_lists(n:... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/backtracking/coloring.py | backtracking/coloring.py | """
Graph Coloring also called "m coloring problem"
consists of coloring a given graph with at most m colors
such that no adjacent vertices are assigned the same color
Wikipedia: https://en.wikipedia.org/wiki/Graph_coloring
"""
def valid_coloring(
neighbours: list[int], colored_vertices: list[int], color: int
) ... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/backtracking/word_ladder.py | backtracking/word_ladder.py | """
Word Ladder is a classic problem in computer science.
The problem is to transform a start word into an end word
by changing one letter at a time.
Each intermediate word must be a valid word from a given list of words.
The goal is to find a transformation sequence
from the start word to the end word.
Wikipedia: htt... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/backtracking/__init__.py | backtracking/__init__.py | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false | |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/backtracking/power_sum.py | backtracking/power_sum.py | """
Problem source: https://www.hackerrank.com/challenges/the-power-sum/problem
Find the number of ways that a given integer X, can be expressed as the sum
of the Nth powers of unique, natural numbers. For example, if X=13 and N=2.
We have to find all combinations of unique squares adding up to 13.
The only solution is... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/backtracking/combination_sum.py | backtracking/combination_sum.py | """
In the Combination Sum problem, we are given a list consisting of distinct integers.
We need to find all the combinations whose sum equals to target given.
We can use an element more than one.
Time complexity(Average Case): O(n!)
Constraints:
1 <= candidates.length <= 30
2 <= candidates[i] <= 40
All elements of c... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/backtracking/generate_parentheses.py | backtracking/generate_parentheses.py | """
author: Aayush Soni
Given n pairs of parentheses, write a function to generate all
combinations of well-formed parentheses.
Input: n = 2
Output: ["(())","()()"]
Leetcode link: https://leetcode.com/problems/generate-parentheses/description/
"""
def backtrack(
partial: str, open_count: int, close_count: int, n:... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/backtracking/sudoku.py | backtracking/sudoku.py | """
Given a partially filled 9x9 2D array, the objective is to fill a 9x9
square grid with digits numbered 1 to 9, so that every row, column, and
and each of the nine 3x3 sub-grids contains all of the digits.
This can be solved using Backtracking and is similar to n-queens.
We check to see if a cell is safe or not and... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/scripts/build_directory_md.py | scripts/build_directory_md.py | #!/usr/bin/env python3
import os
from collections.abc import Iterator
def good_file_paths(top_dir: str = ".") -> Iterator[str]:
for dir_path, dir_names, filenames in os.walk(top_dir):
dir_names[:] = [
d
for d in dir_names
if d != "scripts" and d[0] not in "._" and "ven... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/scripts/validate_filenames.py | scripts/validate_filenames.py | #!/usr/bin/env python3
import os
try:
from .build_directory_md import good_file_paths
except ImportError:
from build_directory_md import good_file_paths # type: ignore[no-redef]
filepaths = list(good_file_paths())
assert filepaths, "good_file_paths() failed!"
if upper_files := [file for file in filepaths i... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/scripts/validate_solutions.py | scripts/validate_solutions.py | #!/usr/bin/env python3
# /// script
# requires-python = ">=3.13"
# dependencies = [
# "httpx",
# "pytest",
# ]
# ///
import hashlib
import importlib.util
import json
import os
import pathlib
from types import ModuleType
import httpx
import pytest
PROJECT_EULER_DIR_PATH = pathlib.Path.cwd().joinpath("project... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/scripts/__init__.py | scripts/__init__.py | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false | |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/center_of_mass.py | physics/center_of_mass.py | """
Calculating the center of mass for a discrete system of particles, given their
positions and masses.
Description:
In physics, the center of mass of a distribution of mass in space (sometimes referred
to as the barycenter or balance point) is the unique point at any given time where the
weighted relative position ... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/speed_of_sound.py | physics/speed_of_sound.py | """
Title : Calculating the speed of sound
Description :
The speed of sound (c) is the speed that a sound wave travels per unit time (m/s).
During propagation, the sound wave propagates through an elastic medium.
Sound propagates as longitudinal waves in liquids and gases and as transverse waves
in so... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/doppler_frequency.py | physics/doppler_frequency.py | """
Doppler's effect
The Doppler effect (also Doppler shift) is the change in the frequency of a wave in
relation to an observer who is moving relative to the source of the wave. The Doppler
effect is named after the physicist Christian Doppler. A common example of Doppler
shift is the change of pitch heard when a v... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/orbital_transfer_work.py | physics/orbital_transfer_work.py | def orbital_transfer_work(
mass_central: float, mass_object: float, r_initial: float, r_final: float
) -> str:
"""
Calculates the work required to move an object from one orbit to another in a
gravitational field based on the change in total mechanical energy.
The formula used is:
W = (G * ... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/rms_speed_of_molecule.py | physics/rms_speed_of_molecule.py | """
The root-mean-square speed is essential in measuring the average speed of particles
contained in a gas, defined as,
-----------------
| Vrms = √3RT/M |
-----------------
In Kinetic Molecular Theory, gasified particles are in a condition of constant random
motion; each particle moves at a completely different pa... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/period_of_pendulum.py | physics/period_of_pendulum.py | """
Title : Computing the time period of a simple pendulum
The simple pendulum is a mechanical system that sways or moves in an
oscillatory motion. The simple pendulum comprises of a small bob of
mass m suspended by a thin string of length L and secured to a platform
at its upper end. Its motion occurs in a vertical p... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/rainfall_intensity.py | physics/rainfall_intensity.py | """
Rainfall Intensity
==================
This module contains functions to calculate the intensity of
a rainfall event for a given duration and return period.
This function uses the Sherman intensity-duration-frequency curve.
References
----------
- Aparicio, F. (1997): Fundamentos de Hidrología de Superficie.
B... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/ideal_gas_law.py | physics/ideal_gas_law.py | """
The ideal gas law, also called the general gas equation, is the
equation of state of a hypothetical ideal gas. It is a good approximation
of the behavior of many gases under many conditions, although it has
several limitations. It was first stated by Benoît Paul Émile Clapeyron
in 1834 as a combination of the empir... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/shear_stress.py | physics/shear_stress.py | from __future__ import annotations
"""
Shear stress is a component of stress that is coplanar to the material cross-section.
It arises due to a shear force, the component of the force vector parallel to the
material cross-section.
https://en.wikipedia.org/wiki/Shear_stress
"""
def shear_stress(
stress: float,
... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/archimedes_principle_of_buoyant_force.py | physics/archimedes_principle_of_buoyant_force.py | """
Calculate the buoyant force of any body completely or partially submerged in a static
fluid. This principle was discovered by the Greek mathematician Archimedes.
Equation for calculating buoyant force:
Fb = p * V * g
https://en.wikipedia.org/wiki/Archimedes%27_principle
"""
# Acceleration Constant on Earth (uni... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/grahams_law.py | physics/grahams_law.py | """
Title: Graham's Law of Effusion
Description: Graham's law of effusion states that the rate of effusion of a gas is
inversely proportional to the square root of the molar mass of its particles:
r1/r2 = sqrt(m2/m1)
r1 = Rate of effusion for the first gas.
r2 = Rate of effusion for the second gas.
m1 = Molar mass o... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/newtons_law_of_gravitation.py | physics/newtons_law_of_gravitation.py | """
Title : Finding the value of either Gravitational Force, one of the masses or distance
provided that the other three parameters are given.
Description : Newton's Law of Universal Gravitation explains the presence of force of
attraction between bodies having a definite mass situated at a distance. It is usually
sta... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/lorentz_transformation_four_vector.py | physics/lorentz_transformation_four_vector.py | """
Lorentz transformations describe the transition between two inertial reference
frames F and F', each of which is moving in some direction with respect to the
other. This code only calculates Lorentz transformations for movement in the x
direction with no spatial rotation (i.e., a Lorentz boost in the x direction).
... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/terminal_velocity.py | physics/terminal_velocity.py | """
Title : Computing the terminal velocity of an object falling
through a fluid.
Terminal velocity is defined as the highest velocity attained by an
object falling through a fluid. It is observed when the sum of drag force
and buoyancy is equal to the downward gravity force acting on the
object. The accelerat... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/newtons_second_law_of_motion.py | physics/newtons_second_law_of_motion.py | r"""
Description:
Newton's second law of motion pertains to the behavior of objects for which
all existing forces are not balanced.
The second law states that the acceleration of an object is dependent upon
two variables - the net force acting upon the object and the mass of the object.
The accelera... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/n_body_simulation.py | physics/n_body_simulation.py | """
In physics and astronomy, a gravitational N-body simulation is a simulation of a
dynamical system of particles under the influence of gravity. The system
consists of a number of bodies, each of which exerts a gravitational force on all
other bodies. These forces are calculated using Newton's law of universal
gravit... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/mirror_formulae.py | physics/mirror_formulae.py | """
This module contains the functions to calculate the focal length, object distance
and image distance of a mirror.
The mirror formula is an equation that relates the object distance (u),
image distance (v), and focal length (f) of a spherical mirror.
It is commonly used in optics to determine the position and chara... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/casimir_effect.py | physics/casimir_effect.py | """
Title : Finding the value of magnitude of either the Casimir force, the surface area
of one of the plates or distance between the plates provided that the other
two parameters are given.
Description : In quantum field theory, the Casimir effect is a physical force
acting on the macroscopic boundaries of a confined... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/altitude_pressure.py | physics/altitude_pressure.py | """
Title : Calculate altitude using Pressure
Description :
The below algorithm approximates the altitude using Barometric formula
"""
def get_altitude_at_pressure(pressure: float) -> float:
"""
This method calculates the altitude from Pressure wrt to
Sea level pressure as reference .Pressure is in... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/reynolds_number.py | physics/reynolds_number.py | """
Title : computing the Reynolds number to find
out the type of flow (laminar or turbulent)
Reynolds number is a dimensionless quantity that is used to determine
the type of flow pattern as laminar or turbulent while flowing through a
pipe. Reynolds number is defined by the ratio of inertial forces to that o... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/kinetic_energy.py | physics/kinetic_energy.py | """
Find the kinetic energy of an object, given its mass and velocity.
Description : In physics, the kinetic energy of an object is the energy that it
possesses due to its motion.It is defined as the work needed to accelerate a body of a
given mass from rest to its stated velocity.Having gained this energy during its
... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/potential_energy.py | physics/potential_energy.py | from scipy.constants import g
"""
Finding the gravitational potential energy of an object with reference
to the earth,by taking its mass and height above the ground as input
Description : Gravitational energy or gravitational potential energy
is the potential energy a massive object has in relation to another
massiv... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/malus_law.py | physics/malus_law.py | import math
"""
Finding the intensity of light transmitted through a polariser using Malus Law
and by taking initial intensity and angle between polariser and axis as input
Description : Malus's law, which is named after Étienne-Louis Malus,
says that when a perfect polarizer is placed in a polarized
beam of light, t... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/__init__.py | physics/__init__.py | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false | |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/photoelectric_effect.py | physics/photoelectric_effect.py | """
The photoelectric effect is the emission of electrons when electromagnetic radiation ,
such as light, hits a material. Electrons emitted in this manner are called
photoelectrons.
In 1905, Einstein proposed a theory of the photoelectric effect using a concept that
light consists of tiny packets of energy known as p... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/horizontal_projectile_motion.py | physics/horizontal_projectile_motion.py | """
Horizontal Projectile Motion problem in physics.
This algorithm solves a specific problem in which
the motion starts from the ground as can be seen below::
(v = 0)
* *
* *
* *
* *
* ... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/in_static_equilibrium.py | physics/in_static_equilibrium.py | """
Checks if a system of forces is in static equilibrium.
"""
from __future__ import annotations
from numpy import array, cos, cross, float64, radians, sin
from numpy.typing import NDArray
def polar_force(
magnitude: float, angle: float, radian_mode: bool = False
) -> list[float]:
"""
Resolves force al... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/basic_orbital_capture.py | physics/basic_orbital_capture.py | """
These two functions will return the radii of impact for a target object
of mass M and radius R as well as it's effective cross sectional area sigma.
That is to say any projectile with velocity v passing within sigma, will impact the
target object with mass M. The derivation of which is given at the bottom
of this f... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/lens_formulae.py | physics/lens_formulae.py | """
This module has functions which calculate focal length of lens, distance of
image from the lens and distance of object from the lens.
The above is calculated using the lens formula.
In optics, the relationship between the distance of the image (v),
the distance of the object (u), and
the focal length (f) of the le... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/escape_velocity.py | physics/escape_velocity.py | import math
def escape_velocity(mass: float, radius: float) -> float:
"""
Calculates the escape velocity needed to break free from a celestial body's
gravitational field.
The formula used is:
v = sqrt(2 * G * M / R)
where:
v = escape velocity (m/s)
G = gravitational const... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/speeds_of_gas_molecules.py | physics/speeds_of_gas_molecules.py | """
The root-mean-square, average and most probable speeds of gas molecules are
derived from the Maxwell-Boltzmann distribution. The Maxwell-Boltzmann
distribution is a probability distribution that describes the distribution of
speeds of particles in an ideal gas.
The distribution is given by the following equation::... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/coulombs_law.py | physics/coulombs_law.py | """
Coulomb's law states that the magnitude of the electrostatic force of attraction
or repulsion between two point charges is directly proportional to the product
of the magnitudes of charges and inversely proportional to the square of the
distance between them.
F = k * q1 * q2 / r^2
k is Coulomb's constant and equa... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/hubble_parameter.py | physics/hubble_parameter.py | """
Title : Calculating the Hubble Parameter
Description : The Hubble parameter H is the Universe expansion rate
in any time. In cosmology is customary to use the redshift redshift
in place of time, becausethe redshift is directily mensure
in the light of galaxies moving away from us.
So, the general relation that we... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/mass_energy_equivalence.py | physics/mass_energy_equivalence.py | """
Title:
Finding the energy equivalence of mass and mass equivalence of energy
by Einstein's equation.
Description:
Einstein's mass-energy equivalence is a pivotal concept in theoretical physics.
It asserts that energy (E) and mass (m) are directly related by the speed of
light in vacuum (c) squared, as described in... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/centripetal_force.py | physics/centripetal_force.py | """
Description : Centripetal force is the force acting on an object in
curvilinear motion directed towards the axis of rotation
or centre of curvature.
The unit of centripetal force is newton.
The centripetal force is always directed perpendicular to the
direction of the object's displacement. Using Newton's second
... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/physics/image_data/__init__.py | physics/image_data/__init__.py | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false | |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/blockchain/diophantine_equation.py | blockchain/diophantine_equation.py | from __future__ import annotations
from maths.greatest_common_divisor import greatest_common_divisor
def diophantine(a: int, b: int, c: int) -> tuple[float, float]:
"""
Diophantine Equation : Given integers a,b,c ( at least one of a and b != 0), the
diophantine equation a*x + b*y = c has a solution (wher... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/blockchain/__init__.py | blockchain/__init__.py | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false | |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/__init__.py | project_euler/__init__.py | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false | |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_191/sol1.py | project_euler/problem_191/sol1.py | """
Prize Strings
Problem 191
A particular school offers cash rewards to children with good attendance and
punctuality. If they are absent for three consecutive days or late on more
than one occasion then they forfeit their prize.
During an n-day period a trinary string is formed for each child consisting
of L's (lat... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_191/__init__.py | project_euler/problem_191/__init__.py | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false | |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_686/sol1.py | project_euler/problem_686/sol1.py | """
Project Euler Problem 686: https://projecteuler.net/problem=686
2^7 = 128 is the first power of two whose leading digits are "12".
The next power of two whose leading digits are "12" is 2^80.
Define p(L,n) to be the nth-smallest value of j such that
the base 10 representation of 2^j begins with the digits of L.
... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_686/__init__.py | project_euler/problem_686/__init__.py | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false | |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_002/sol2.py | project_euler/problem_002/sol2.py | """
Project Euler Problem 2: https://projecteuler.net/problem=2
Even Fibonacci Numbers
Each new term in the Fibonacci sequence is generated by adding the previous
two terms. By starting with 1 and 2, the first 10 terms will be:
1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...
By considering the terms in the Fibonacci sequenc... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_002/sol4.py | project_euler/problem_002/sol4.py | """
Project Euler Problem 2: https://projecteuler.net/problem=2
Even Fibonacci Numbers
Each new term in the Fibonacci sequence is generated by adding the previous
two terms. By starting with 1 and 2, the first 10 terms will be:
1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...
By considering the terms in the Fibonacci sequenc... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_002/sol3.py | project_euler/problem_002/sol3.py | """
Project Euler Problem 2: https://projecteuler.net/problem=2
Even Fibonacci Numbers
Each new term in the Fibonacci sequence is generated by adding the previous
two terms. By starting with 1 and 2, the first 10 terms will be:
1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...
By considering the terms in the Fibonacci sequenc... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_002/sol5.py | project_euler/problem_002/sol5.py | """
Project Euler Problem 2: https://projecteuler.net/problem=2
Even Fibonacci Numbers
Each new term in the Fibonacci sequence is generated by adding the previous
two terms. By starting with 1 and 2, the first 10 terms will be:
1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...
By considering the terms in the Fibonacci sequenc... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_002/sol1.py | project_euler/problem_002/sol1.py | """
Project Euler Problem 2: https://projecteuler.net/problem=2
Even Fibonacci Numbers
Each new term in the Fibonacci sequence is generated by adding the previous
two terms. By starting with 1 and 2, the first 10 terms will be:
1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ...
By considering the terms in the Fibonacci sequenc... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_002/__init__.py | project_euler/problem_002/__init__.py | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false | |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_116/sol1.py | project_euler/problem_116/sol1.py | """
Project Euler Problem 116: https://projecteuler.net/problem=116
A row of five grey square tiles is to have a number of its tiles
replaced with coloured oblong tiles chosen
from red (length two), green (length three), or blue (length four).
If red tiles are chosen there are exactly seven ways this can be done.
... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_116/__init__.py | project_euler/problem_116/__init__.py | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false | |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_493/sol1.py | project_euler/problem_493/sol1.py | """
Project Euler Problem 493: https://projecteuler.net/problem=493
70 coloured balls are placed in an urn, 10 for each of the seven rainbow colours.
What is the expected number of distinct colours in 20 randomly picked balls?
Give your answer with nine digits after the decimal point (a.bcdefghij).
-----
This combin... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_493/__init__.py | project_euler/problem_493/__init__.py | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false | |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_025/sol2.py | project_euler/problem_025/sol2.py | """
The Fibonacci sequence is defined by the recurrence relation:
Fn = Fn-1 + Fn-2, where F1 = 1 and F2 = 1.
Hence the first 12 terms will be:
F1 = 1
F2 = 1
F3 = 2
F4 = 3
F5 = 5
F6 = 8
F7 = 13
F8 = 21
F9 = 34
F10 = 55
F11 = 89
F12 = 144
The 12th term, F12, is the ... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_025/sol3.py | project_euler/problem_025/sol3.py | """
The Fibonacci sequence is defined by the recurrence relation:
Fn = Fn-1 + Fn-2, where F1 = 1 and F2 = 1.
Hence the first 12 terms will be:
F1 = 1
F2 = 1
F3 = 2
F4 = 3
F5 = 5
F6 = 8
F7 = 13
F8 = 21
F9 = 34
F10 = 55
F11 = 89
F12 = 144
The 12th term, F12, is the ... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_025/sol1.py | project_euler/problem_025/sol1.py | """
The Fibonacci sequence is defined by the recurrence relation:
Fn = Fn-1 + Fn-2, where F1 = 1 and F2 = 1.
Hence the first 12 terms will be:
F1 = 1
F2 = 1
F3 = 2
F4 = 3
F5 = 5
F6 = 8
F7 = 13
F8 = 21
F9 = 34
F10 = 55
F11 = 89
F12 = 144
The 12th term, F12, is the ... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_025/__init__.py | project_euler/problem_025/__init__.py | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false | |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_017/sol1.py | project_euler/problem_017/sol1.py | """
Number letter counts
Problem 17: https://projecteuler.net/problem=17
If the numbers 1 to 5 are written out in words: one, two, three, four, five,
then there are 3 + 3 + 5 + 4 + 4 = 19 letters used in total.
If all the numbers from 1 to 1000 (one thousand) inclusive were written out in
words, how many letters woul... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_017/__init__.py | project_euler/problem_017/__init__.py | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false | |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_044/sol1.py | project_euler/problem_044/sol1.py | """
Problem 44: https://projecteuler.net/problem=44
Pentagonal numbers are generated by the formula, Pn=n(3n-1)/2. The first ten
pentagonal numbers are:
1, 5, 12, 22, 35, 51, 70, 92, 117, 145, ...
It can be seen that P4 + P7 = 22 + 70 = 92 = P8. However, their difference,
70 - 22 = 48, is not pentagonal.
Find the pai... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_044/__init__.py | project_euler/problem_044/__init__.py | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false | |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_079/sol1.py | project_euler/problem_079/sol1.py | """
Project Euler Problem 79: https://projecteuler.net/problem=79
Passcode derivation
A common security method used for online banking is to ask the user for three
random characters from a passcode. For example, if the passcode was 531278,
they may ask for the 2nd, 3rd, and 5th characters; the expected reply would
be... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_079/__init__.py | project_euler/problem_079/__init__.py | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false | |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_085/sol1.py | project_euler/problem_085/sol1.py | """
Project Euler Problem 85: https://projecteuler.net/problem=85
By counting carefully it can be seen that a rectangular grid measuring 3 by 2
contains eighteen rectangles.

Although there exists no rectangular grid that contains exactly two million
rectangles, find the area of the grid with the nearest solution.
S... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_085/__init__.py | project_euler/problem_085/__init__.py | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false | |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_001/sol2.py | project_euler/problem_001/sol2.py | """
Project Euler Problem 1: https://projecteuler.net/problem=1
Multiples of 3 and 5
If we list all the natural numbers below 10 that are multiples of 3 or 5,
we get 3, 5, 6 and 9. The sum of these multiples is 23.
Find the sum of all the multiples of 3 or 5 below 1000.
"""
def solution(n: int = 1000) -> int:
... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_001/sol4.py | project_euler/problem_001/sol4.py | """
Project Euler Problem 1: https://projecteuler.net/problem=1
Multiples of 3 and 5
If we list all the natural numbers below 10 that are multiples of 3 or 5,
we get 3, 5, 6 and 9. The sum of these multiples is 23.
Find the sum of all the multiples of 3 or 5 below 1000.
"""
def solution(n: int = 1000) -> int:
... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_001/sol3.py | project_euler/problem_001/sol3.py | """
Project Euler Problem 1: https://projecteuler.net/problem=1
Multiples of 3 and 5
If we list all the natural numbers below 10 that are multiples of 3 or 5,
we get 3, 5, 6 and 9. The sum of these multiples is 23.
Find the sum of all the multiples of 3 or 5 below 1000.
"""
def solution(n: int = 1000) -> int:
... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_001/sol5.py | project_euler/problem_001/sol5.py | """
Project Euler Problem 1: https://projecteuler.net/problem=1
Multiples of 3 and 5
If we list all the natural numbers below 10 that are multiples of 3 or 5,
we get 3, 5, 6 and 9. The sum of these multiples is 23.
Find the sum of all the multiples of 3 or 5 below 1000.
"""
def solution(n: int = 1000) -> int:
... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_001/sol1.py | project_euler/problem_001/sol1.py | """
Project Euler Problem 1: https://projecteuler.net/problem=1
Multiples of 3 and 5
If we list all the natural numbers below 10 that are multiples of 3 or 5,
we get 3, 5, 6 and 9. The sum of these multiples is 23.
Find the sum of all the multiples of 3 or 5 below 1000.
"""
def solution(n: int = 1000) -> int:
... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_001/sol6.py | project_euler/problem_001/sol6.py | """
Project Euler Problem 1: https://projecteuler.net/problem=1
Multiples of 3 and 5
If we list all the natural numbers below 10 that are multiples of 3 or 5,
we get 3, 5, 6 and 9. The sum of these multiples is 23.
Find the sum of all the multiples of 3 or 5 below 1000.
"""
def solution(n: int = 1000) -> int:
... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_001/__init__.py | project_euler/problem_001/__init__.py | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false | |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_001/sol7.py | project_euler/problem_001/sol7.py | """
Project Euler Problem 1: https://projecteuler.net/problem=1
Multiples of 3 and 5
If we list all the natural numbers below 10 that are multiples of 3 or 5,
we get 3, 5, 6 and 9. The sum of these multiples is 23.
Find the sum of all the multiples of 3 or 5 below 1000.
"""
def solution(n: int = 1000) -> int:
... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
TheAlgorithms/Python | https://github.com/TheAlgorithms/Python/blob/2c15b8c54eb8130e83640fe1d911c10eb6cd70d4/project_euler/problem_121/sol1.py | project_euler/problem_121/sol1.py | """
A bag contains one red disc and one blue disc. In a game of chance a player takes a
disc at random and its colour is noted. After each turn the disc is returned to the
bag, an extra red disc is added, and another disc is taken at random.
The player pays £1 to play and wins if they have taken more blue discs than r... | python | MIT | 2c15b8c54eb8130e83640fe1d911c10eb6cd70d4 | 2026-01-04T14:38:15.231112Z | false |
Subsets and Splits
No community queries yet
The top public SQL queries from the community will appear here once available.