mirror of
https://github.com/krahets/hello-algo.git
synced 2026-06-28 16:44:22 +00:00
954c45864b
* docs: add Japanese documents (`ja/docs`) * docs: add Japanese documents (`ja/codes`) * docs: add Japanese documents * Remove pythontutor blocks in ja/ * Add an empty at the end of each markdown file. * Add the missing figures (use the English version temporarily). * Add index.md for Japanese version. * Add index.html for Japanese version. * Add missing index.assets * Fix backtracking_algorithm.md for Japanese version. * Add avatar_eltociear.jpg. Fix image links on the Japanese landing page. * Add the Japanese banner. --------- Co-authored-by: krahets <krahets@163.com>
50 lines
1.6 KiB
Python
50 lines
1.6 KiB
Python
"""
|
|
File: subset_sum_i_naive.py
|
|
Created Time: 2023-06-17
|
|
Author: krahets (krahets@163.com)
|
|
"""
|
|
|
|
|
|
def backtrack(
|
|
state: list[int],
|
|
target: int,
|
|
total: int,
|
|
choices: list[int],
|
|
res: list[list[int]],
|
|
):
|
|
"""バックトラッキングアルゴリズム:部分集合の和 I"""
|
|
# 部分集合の和が target と等しいとき、解を記録
|
|
if total == target:
|
|
res.append(list(state))
|
|
return
|
|
# すべての選択肢を走査
|
|
for i in range(len(choices)):
|
|
# 枝刈り:部分集合の和が target を超える場合、その選択をスキップ
|
|
if total + choices[i] > target:
|
|
continue
|
|
# 試行:選択を行い、要素と total を更新
|
|
state.append(choices[i])
|
|
# 次の選択ラウンドに進む
|
|
backtrack(state, target, total + choices[i], choices, res)
|
|
# 撤回:選択を取り消し、前の状態に復元
|
|
state.pop()
|
|
|
|
|
|
def subset_sum_i_naive(nums: list[int], target: int) -> list[list[int]]:
|
|
"""部分集合の和 I を解く(重複する部分集合を含む)"""
|
|
state = [] # 状態(部分集合)
|
|
total = 0 # 部分集合の和
|
|
res = [] # 結果リスト(部分集合リスト)
|
|
backtrack(state, target, total, nums, res)
|
|
return res
|
|
|
|
|
|
"""ドライバーコード"""
|
|
if __name__ == "__main__":
|
|
nums = [3, 4, 5]
|
|
target = 9
|
|
res = subset_sum_i_naive(nums, target)
|
|
|
|
print(f"入力配列 nums = {nums}, target = {target}")
|
|
print(f"{target} と等しいすべての部分集合 res = {res}")
|
|
print(f"この方法の結果には重複する集合が含まれる") |