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backtracking/hamiltonian_cycle.py create main function #13859

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backtracking/hamiltonian_cycle.py create main function #13859

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backtracking/hamiltonian_cycle.py create main function
khanhkhanhlele Nov 3, 2025
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[pre-commit.ci] auto fixes from pre-commit.com hooks
pre-commit-ci[bot] Nov 3, 2025
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14 changes: 14 additions & 0 deletions backtracking/hamiltonian_cycle.py
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Original file line number Diff line number Diff line change
Expand Up @@ -174,3 +174,17 @@ def hamilton_cycle(graph: list[list[int]], start_index: int = 0) -> list[int]:
path[0] = path[-1] = start_index
# evaluate and if we find answer return path either return empty array
return path if util_hamilton_cycle(graph, path, 1) else []


if __name__ == "__main__":
import doctest

doctest.testmod()
graph = [
[0, 1, 0, 1, 0],
[1, 0, 1, 1, 1],
[0, 1, 0, 0, 1],
[1, 1, 0, 0, 1],
[0, 1, 1, 1, 0],
]
print(hamilton_cycle(graph))