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hello-algo/ja/codes/python/chapter_dynamic_programming/climbing_stairs_backtrack.py
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Ikko Eltociear Ashimine 954c45864b docs: add Japanese translate documents (#1812)
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Co-authored-by: krahets <krahets@163.com>
2025-10-17 05:04:43 +08:00

37 lines
1.1 KiB
Python

"""
File: climbing_stairs_backtrack.py
Created Time: 2023-06-30
Author: krahets (krahets@163.com)
"""
def backtrack(choices: list[int], state: int, n: int, res: list[int]) -> int:
"""バックトラッキング"""
# n 段目に登ったとき、解の数に 1 を加える
if state == n:
res[0] += 1
# すべての選択肢を走査
for choice in choices:
# 枝刈り:n 段を超えて登ることを許可しない
if state + choice > n:
continue
# 試行:選択を行い、状態を更新
backtrack(choices, state + choice, n, res)
# 撤回
def climbing_stairs_backtrack(n: int) -> int:
"""階段登り:バックトラッキング"""
choices = [1, 2] # 1 段または 2 段登ることを選択可能
state = 0 # 0 段目から登り始める
res = [0] # res[0] を使用して解の数を記録
backtrack(choices, state, n, res)
return res[0]
"""ドライバーコード"""
if __name__ == "__main__":
n = 9
res = climbing_stairs_backtrack(n)
print(f"{n} 段登り、合計 {res} 通りの解がある")