結果

問題 No.2436 Min Diff Distance
ユーザー gew1fw
提出日時 2025-06-12 21:31:21
言語 PyPy3
(7.3.15)
結果
WA  
実行時間 -
コード長 1,950 bytes
コンパイル時間 185 ms
コンパイル使用メモリ 82,020 KB
実行使用メモリ 180,528 KB
最終ジャッジ日時 2025-06-12 21:32:27
合計ジャッジ時間 13,394 ms
ジャッジサーバーID
（参考情報） 		judge4 / judge2
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ファイルパターン 結果
other AC * 7 WA * 16
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().split()
    idx = 0
    N = int(input[idx])
    idx += 1
    points = []
    us = []
    vs = []
    for _ in range(N):
        X = int(input[idx])
        Y = int(input[idx + 1])
        idx += 2
        u = X + Y
        v = X - Y
        points.append((u, v))
        us.append(u)
        vs.append(v)
    
    # Check for duplicate u and v
    seen = set()
    for u, v in points:
        key = (u, v)
        if key in seen:
            print(0)
            return
        seen.add(key)
    
    max_u = max(us)
    min_u = min(us)
    max_v = max(vs)
    min_v = min(vs)
    
    # Sort points by u and by v
    sorted_by_u = sorted(points, key=lambda x: x[0])
    sorted_by_v = sorted(points, key=lambda x: x[1])
    
    # Function to find minimal Chebyshev distance for each point
    def find_min_d(point_list, key_index):
        min_d_list = [float('inf')] * N
        for i in range(N):
            for j in range(max(0, i-2), min(N, i+3)):
                if j == i:
                    continue
                u1, v1 = point_list[i]
                u2, v2 = point_list[j]
                du = abs(u1 - u2)
                dv = abs(v1 - v2)
                d = max(du, dv)
                if d < min_d_list[i]:
                    min_d_list[i] = d
        return min_d_list
    
    min_d_u = find_min_d(sorted_by_u, 0)
    min_d_v = find_min_d(sorted_by_v, 1)
    
    # For each point, find the minimal d from both sorted lists
    min_d = []
    for i in range(N):
        d = min(min_d_u[i], min_d_v[i])
        min_d.append(d)
    
    # Now, compute the minimal P_i
    min_p = float('inf')
    for i in range(N):
        u_i, v_i = points[i]
        max_d = max(max_u - u_i, u_i - min_u, max_v - v_i, v_i - min_v)
        current_p = max_d - min_d[i]
        if current_p < min_p:
            min_p = current_p
    
    print(min_p)

if __name__ == '__main__':
    main()
0