結果

問題 No.1874 Minimum of Sum of Rectangles
ユーザー lam6er
提出日時 2025-03-26 15:56:58
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 856 ms / 3,000 ms
コード長 1,430 bytes
コンパイル時間 199 ms
コンパイル使用メモリ 82,796 KB
実行使用メモリ 111,476 KB
最終ジャッジ日時 2025-03-26 15:57:34
合計ジャッジ時間 20,768 ms
ジャッジサーバーID
（参考情報） 		judge5 / judge4
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 AC * 3
other AC * 39
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ソースコード

diff #
プレゼンテーションモードにする

import sys
def readints():
    return list(map(int, sys.stdin.readline().split()))
def weighted_median(values_weights):
    sorted_vw = sorted(values_weights, key=lambda x: x[0])
    total = sum(w for v, w in sorted_vw)
    half = total / 2
    current = 0
    for v, w in sorted_vw:
        current += w
        if current >= half:
            return v
    return sorted_vw[-1][0] if sorted_vw else 0
def main():
    n = int(sys.stdin.readline())
    points = [tuple(map(int, sys.stdin.readline().split())) for _ in range(n)]
    xs = [x for x, y in points]
    ys = [y for x, y in points]
    
    # Initial x and y as medians
    sorted_xs = sorted(xs)
    x = sorted_xs[n // 2]
    sorted_ys = sorted(ys)
    y = sorted_ys[n // 2]
    
    prev_x, prev_y = None, None
    max_iter = 20  # Prevent infinite loop
    iter_count = 0
    while (prev_x != x or prev_y != y) and iter_count < max_iter:
        iter_count += 1
        prev_x, prev_y = x, y
        
        # Compute y with weights |x - xi|
        weights_y = [(yi, abs(x - xi)) for xi, yi in points]
        y = weighted_median(weights_y)
        
        # Compute x with weights |y - yi|
        weights_x = [(xi, abs(y - yi)) for xi, yi in points]
        x = weighted_median(weights_x)
    
    # Calculate the sum
    total = 0
    for xi, yi in points:
        total += abs(x - xi) * abs(y - yi)
    print(total)
    
if __name__ == "__main__":
    main()
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