mirror of
https://github.com/krahets/hello-algo.git
synced 2025-11-04 22:28:40 +08:00
docs: add Japanese translate documents (#1812)
* 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>
This commit is contained in:
committed by
GitHub
parent
2487a27036
commit
954c45864b
62
ja/codes/python/chapter_backtracking/n_queens.py
Normal file
62
ja/codes/python/chapter_backtracking/n_queens.py
Normal file
@ -0,0 +1,62 @@
|
||||
"""
|
||||
File: n_queens.py
|
||||
Created Time: 2023-04-26
|
||||
Author: krahets (krahets@163.com)
|
||||
"""
|
||||
|
||||
|
||||
def backtrack(
|
||||
row: int,
|
||||
n: int,
|
||||
state: list[list[str]],
|
||||
res: list[list[list[str]]],
|
||||
cols: list[bool],
|
||||
diags1: list[bool],
|
||||
diags2: list[bool],
|
||||
):
|
||||
"""バックトラッキングアルゴリズム:n クイーン"""
|
||||
# すべての行が配置されたら、解を記録
|
||||
if row == n:
|
||||
res.append([list(row) for row in state])
|
||||
return
|
||||
# すべての列を走査
|
||||
for col in range(n):
|
||||
# セルに対応する主対角線と副対角線を計算
|
||||
diag1 = row - col + n - 1
|
||||
diag2 = row + col
|
||||
# 枝刈り:セルの列、主対角線、副対角線にクイーンを配置しない
|
||||
if not cols[col] and not diags1[diag1] and not diags2[diag2]:
|
||||
# 試行:セルにクイーンを配置
|
||||
state[row][col] = "Q"
|
||||
cols[col] = diags1[diag1] = diags2[diag2] = True
|
||||
# 次の行を配置
|
||||
backtrack(row + 1, n, state, res, cols, diags1, diags2)
|
||||
# 撤回:セルを空のスポットに復元
|
||||
state[row][col] = "#"
|
||||
cols[col] = diags1[diag1] = diags2[diag2] = False
|
||||
|
||||
|
||||
def n_queens(n: int) -> list[list[list[str]]]:
|
||||
"""n クイーンを解く"""
|
||||
# n*n サイズのチェスボードを初期化、'Q' はクイーンを表し、'#' は空のスポットを表す
|
||||
state = [["#" for _ in range(n)] for _ in range(n)]
|
||||
cols = [False] * n # クイーンがある列を記録
|
||||
diags1 = [False] * (2 * n - 1) # クイーンがある主対角線を記録
|
||||
diags2 = [False] * (2 * n - 1) # クイーンがある副対角線を記録
|
||||
res = []
|
||||
backtrack(0, n, state, res, cols, diags1, diags2)
|
||||
|
||||
return res
|
||||
|
||||
|
||||
"""ドライバーコード"""
|
||||
if __name__ == "__main__":
|
||||
n = 4
|
||||
res = n_queens(n)
|
||||
|
||||
print(f"チェスボードの寸法入力:{n}")
|
||||
print(f"クイーン配置解の総数は {len(res)}")
|
||||
for state in res:
|
||||
print("--------------------")
|
||||
for row in state:
|
||||
print(row)
|
||||
Reference in New Issue
Block a user