結果

問題 No.223 1マス指定の魔方陣
ユーザー gew1fw
提出日時 2025-06-12 18:52:12
言語 PyPy3
(7.3.15)
結果
RE  
実行時間 -
コード長 1,746 bytes
コンパイル時間 300 ms
コンパイル使用メモリ 82,156 KB
実行使用メモリ 68,228 KB
最終ジャッジ日時 2025-06-12 18:52:27
合計ジャッジ時間 4,892 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge1
このコードへのチャレンジ
（要ログイン）
ファイルパターン 結果
sample AC * 1
other AC * 21 RE * 25
権限があれば一括ダウンロードができます

ソースコード

diff # 

N, X, Y, Z = map(int, input().split())
X -= 1  # Convert to 0-based index
Y -= 1

def make_doubly_even_magic_square(n):
    mat = [[i * n + j + 1 for j in range(n)] for i in range(n)]
    for i in range(n):
        for j in range(n):
            sub_i = i % 4
            sub_j = j % 4
            if (sub_i in (0, 3) and sub_j in (0, 3)) or (sub_i in (1, 2) and sub_j in (1, 2)):
                mat[i][j] = (n * n + 1) - mat[i][j]
    return mat

def rotate(matrix):
    n = len(matrix)
    return [[matrix[n - j - 1][i] for j in range(n)] for i in range(n)]

def reflect_horizontal(matrix):
    return [row[::-1] for row in matrix]

def reflect_vertical(matrix):
    return [row for row in reversed(matrix)]

def generate_transformations(matrix):
    transforms = []
    current = matrix
    for _ in range(4):
        transforms.append(current)
        transforms.append(reflect_horizontal(current))
        transforms.append(reflect_vertical(current))
        current = rotate(current)
    return transforms

# Generate the magic square using the doubly even method
magic_square = make_doubly_even_magic_square(N)

# Check all transformations of the generated magic square
found = None
for variant in generate_transformations(magic_square):
    if variant[Y][X] == Z:
        found = variant
        break

# If not found, check a known magic square for N=4 (as a fallback)
if not found and N == 4:
    known_square = [
        [3, 13, 16, 2],
        [10, 8, 5, 11],
        [6, 12, 9, 7],
        [15, 1, 4, 14]
    ]
    for variant in generate_transformations(known_square):
        if variant[Y][X] == Z:
            found = variant
            break

# Output the found magic square
for row in found:
    print(' '.join(map(str, row)))
0