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sgindeed wants to merge 9 commits into from
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feat(backtracking): add m-coloring algorithm #13274

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eacebd7
Create Calc.py
sgindeed Oct 6, 2025
21ef5e1
Rename Calc.py to calc.py
sgindeed Oct 6, 2025
2df824d
[pre-commit.ci] auto fixes from pre-commit.com hooks
pre-commit-ci[bot] Oct 6, 2025
913c90a
Create rat_in_a_maze.py
sgindeed Oct 6, 2025
16b6d78
Delete dynamic_programming/rat_in_a_maze.py
sgindeed Oct 6, 2025
d0909dc
Create m-coloring-problem.py
sgindeed Oct 6, 2025
152c0c0
[pre-commit.ci] auto fixes from pre-commit.com hooks
pre-commit-ci[bot] Oct 6, 2025
7647b47
Rename m-coloring-problem.py to m_coloring_problem.py
sgindeed Oct 6, 2025
80cfe21
Delete other/calc.py
sgindeed Oct 6, 2025
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39 changes: 39 additions & 0 deletions backtracking/m_coloring_problem.py
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def isSafe(node, color, graph, n, col):

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backtracking/m_coloring_problem.py:1:5: N802 Function name `isSafe` should be lowercase

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backtracking/m_coloring_problem.py:1:5: N802 Function name `isSafe` should be lowercase
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@algorithms-keeper algorithms-keeper Bot Oct 6, 2025

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Please provide return type hint for the function: isSafe. If the function does not return a value, please provide the type hint as: def function() -> None:

As there is no test file in this pull request nor any test function or class in the file backtracking/m_coloring_problem.py, please provide doctest for the function isSafe

Variable and function names should follow the snake_case naming convention. Please update the following name accordingly: isSafe

Please provide type hint for the parameter: node

Please provide type hint for the parameter: color

Please provide type hint for the parameter: graph

Please provide descriptive name for the parameter: n

Please provide type hint for the parameter: n

Please provide type hint for the parameter: col

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Please provide return type hint for the function: isSafe. If the function does not return a value, please provide the type hint as: def function() -> None:

As there is no test file in this pull request nor any test function or class in the file backtracking/m_coloring_problem.py, please provide doctest for the function isSafe

Variable and function names should follow the snake_case naming convention. Please update the following name accordingly: isSafe

Please provide type hint for the parameter: node

Please provide type hint for the parameter: color

Please provide type hint for the parameter: graph

Please provide descriptive name for the parameter: n

Please provide type hint for the parameter: n

Please provide type hint for the parameter: col

for k in range(n):
if graph[node][k] == 1 and col[k] == color:
return False
return True

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backtracking/m_coloring_problem.py:2:5: SIM110 Use `return all(not (graph[node][k] == 1 and col[k] == color) for k in range(n))` instead of `for` loop

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backtracking/m_coloring_problem.py:2:5: SIM110 Use `return all(not (graph[node][k] == 1 and col[k] == color) for k in range(n))` instead of `for` loop


def solve(node, col, m, n, graph):
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Please provide return type hint for the function: solve. If the function does not return a value, please provide the type hint as: def function() -> None:

As there is no test file in this pull request nor any test function or class in the file backtracking/m_coloring_problem.py, please provide doctest for the function solve

Please provide type hint for the parameter: node

Please provide type hint for the parameter: col

Please provide descriptive name for the parameter: m

Please provide type hint for the parameter: m

Please provide descriptive name for the parameter: n

Please provide type hint for the parameter: n

Please provide type hint for the parameter: graph

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@algorithms-keeper algorithms-keeper Bot Oct 6, 2025

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Please provide return type hint for the function: solve. If the function does not return a value, please provide the type hint as: def function() -> None:

As there is no test file in this pull request nor any test function or class in the file backtracking/m_coloring_problem.py, please provide doctest for the function solve

Please provide type hint for the parameter: node

Please provide type hint for the parameter: col

Please provide descriptive name for the parameter: m

Please provide type hint for the parameter: m

Please provide descriptive name for the parameter: n

Please provide type hint for the parameter: n

Please provide type hint for the parameter: graph

if node == n:
return True
for c in range(1, m + 1):
if isSafe(node, c, graph, n, col):
col[node] = c
if solve(node + 1, col, m, n, graph):
return True
col[node] = 0
return False


def graphColoring(graph, m, n):

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backtracking/m_coloring_problem.py:20:5: N802 Function name `graphColoring` should be lowercase

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backtracking/m_coloring_problem.py:20:5: N802 Function name `graphColoring` should be lowercase
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Please provide return type hint for the function: graphColoring. If the function does not return a value, please provide the type hint as: def function() -> None:

As there is no test file in this pull request nor any test function or class in the file backtracking/m_coloring_problem.py, please provide doctest for the function graphColoring

Variable and function names should follow the snake_case naming convention. Please update the following name accordingly: graphColoring

Please provide type hint for the parameter: graph

Please provide descriptive name for the parameter: m

Please provide type hint for the parameter: m

Please provide descriptive name for the parameter: n

Please provide type hint for the parameter: n

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@algorithms-keeper algorithms-keeper Bot Oct 6, 2025

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Please provide return type hint for the function: graphColoring. If the function does not return a value, please provide the type hint as: def function() -> None:

As there is no test file in this pull request nor any test function or class in the file backtracking/m_coloring_problem.py, please provide doctest for the function graphColoring

Variable and function names should follow the snake_case naming convention. Please update the following name accordingly: graphColoring

Please provide type hint for the parameter: graph

Please provide descriptive name for the parameter: m

Please provide type hint for the parameter: m

Please provide descriptive name for the parameter: n

Please provide type hint for the parameter: n

col = [0] * n
if solve(0, col, m, n, graph):
return True
return False

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backtracking/m_coloring_problem.py:22:5: SIM103 Return the condition `bool(solve(0, col, m, n, graph))` directly

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backtracking/m_coloring_problem.py:22:5: SIM103 Return the condition `bool(solve(0, col, m, n, graph))` directly


if __name__ == "__main__":
V = int(input())
E = int(input())
graph = [[0 for _ in range(V)] for _ in range(V)]
for _ in range(E):
u, v = map(int, input().split())
graph[u][v] = 1
graph[v][u] = 1
m = int(input())
if graphColoring(graph, m, V):
print("True")
else:
print("False")
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