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hello-algo/ja/codes/python/chapter_backtracking/permutations_i.py
Yudong Jin 7257641e0e Retranslate the complete Japanese online edition from Chinese (#2008)
* Retranslate the complete Japanese online edition from Chinese

* Fit Japanese homepage labels and localize heading permalinks

* Point Japanese contribution instructions to the Japanese preview

* Replace locale conditionals with multilingual UI tables
2026-10-30 02:12:26 +08:00

45 lines
1.3 KiB
Python

"""
File: permutations_i.py
Created Time: 2023-04-15
Author: krahets (krahets@163.com)
"""
def backtrack(
state: list[int], choices: list[int], selected: list[bool], res: list[list[int]]
):
"""バックトラッキング:すべての順列 I"""
# 状態の長さが要素数と等しくなったら、解を記録する
if len(state) == len(choices):
res.append(list(state))
return
# すべての選択肢を走査する
for i, choice in enumerate(choices):
# 枝刈り:同じ要素を繰り返し選んではならない
if not selected[i]:
# 試行:選択を行い、状態を更新する
selected[i] = True
state.append(choice)
# 次の選択に進む
backtrack(state, choices, selected, res)
# 復元:選択を取り消し、以前の状態に戻す
selected[i] = False
state.pop()
def permutations_i(nums: list[int]) -> list[list[int]]:
"""すべての順列 I"""
res = []
backtrack(state=[], choices=nums, selected=[False] * len(nums), res=res)
return res
"""実行用コード"""
if __name__ == "__main__":
nums = [1, 2, 3]
res = permutations_i(nums)
print(f"入力配列 nums = {nums}")
print(f"すべての順列 res = {res}")