結果

問題 No.1056 2D Lamps
ユーザー gew1fw
提出日時 2025-06-12 14:24:57
言語 PyPy3
(7.3.15)
結果
WA  
実行時間 -
コード長 2,756 bytes
コンパイル時間 174 ms
コンパイル使用メモリ 83,016 KB
実行使用メモリ 53,748 KB
最終ジャッジ日時 2025-06-12 14:25:04
合計ジャッジ時間 5,968 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge3
このコードへのチャレンジ
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ファイルパターン 結果
sample WA * 3
other TLE * 1 -- * 13
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 # 

def main():
    import sys
    input = sys.stdin.read
    data = input().split()
    idx = 0
    N = int(data[idx])
    idx +=1
    M = int(data[idx])
    idx +=1
    
    A = []
    for _ in range(M):
        grid = []
        for _ in range(N):
            row = data[idx]
            idx +=1
            grid.append(row)
        vec = 0
        for i in range(N):
            for j in range(N):
                if grid[i][j] == '#':
                    idx_bit = i * N + j
                    vec |= (1 << idx_bit)
        A.append(vec)
    
    operations = []
    
    # Type 1: rows
    for k in range(1, N+1):
        vec = 0
        for j in range(1, N+1):
            i = k
            idx_bit = (i-1)*N + (j-1)
            vec |= (1 << idx_bit)
        operations.append(vec)
    
    # Type 2: columns
    for k in range(1, N+1):
        vec = 0
        for i in range(1, N+1):
            j = k
            idx_bit = (i-1)*N + (j-1)
            vec |= (1 << idx_bit)
        operations.append(vec)
    
    # Type 3: diagonals i + j = s
    for s in range(2, 2*N +1):
        vec = 0
        for i in range(1, N+1):
            j = s - i
            if 1 <= j <= N:
                idx_bit = (i-1)*N + (j-1)
                vec |= (1 << idx_bit)
        operations.append(vec)
    
    # Type 4: anti-diagonals i - j = t
    for t in range(-(N-1), N):
        vec = 0
        for i in range(1, N+1):
            j = i - t
            if 1 <= j <= N:
                idx_bit = (i-1)*N + (j-1)
                vec |= (1 << idx_bit)
        operations.append(vec)
    
    # Gaussian Elimination
    basis = []
    pivot_to_basis = {}
    
    for vec in operations:
        current = vec
        while current != 0:
            pivot = current.bit_length() - 1
            if pivot in pivot_to_basis:
                current ^= pivot_to_basis[pivot]
            else:
                pivot_to_basis[pivot] = current
                basis.append(current)
                break
    
    # Check each pair
    B = [[0]*M for _ in range(M)]
    for i in range(M):
        for j in range(i+1, M):
            d = A[i] ^ A[j]
            current = d
            possible = True
            while current != 0:
                pivot = current.bit_length() -1
                if pivot not in pivot_to_basis:
                    possible = False
                    break
                current ^= pivot_to_basis[pivot]
            if possible and current == 0:
                B[i][j] = 1
            else:
                B[i][j] = 0
    
    # Output the result
    for i in range(M-1):
        res = []
        for j in range(i+1, M):
            res.append(str(B[i][j]))
        print(''.join(res))
    print()

if __name__ == '__main__':
    main()
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