#955142 (PyPy3) No.1385 Simple Geometry 2

• 問題: No.1385 Simple Geometry 2
• ユーザー: LyricalMaestro
• 提出日時: 2024-02-25 03:43:56
• 言語: PyPy3 (7.3.15)
• 結果: AC
• 実行時間: 327 ms / 500 ms
• コード長: 1,856 bytes
• コンパイル時間: 356 ms
• コンパイル使用メモリ: 82,836 KB
• 実行使用メモリ: 222,628 KB
• 最終ジャッジ日時: 2024-09-29 10:41:58
• 合計ジャッジ時間: 26,638 ms
• ジャッジサーバーID （参考情報）: judge1 / judge5

ファイルパターン	結果
sample	AC * 3
other	AC * 65

ソースコード

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## https://yukicoder.me/problems/no/1385
import math
def main():
    N, L = map(int, input().split())
    T = list(map(int, input().split()))
    # sin, cosの累積和
    f_list = [0] * N
    g_list = [0] * N
    f = 0
    g = 0
    for i in reversed(range(N)):
        t = (2 * math.pi * T[i]) / L
        f += math.sin(t)
        g += math.cos(t)
        f_list[i] = f
        g_list[i] = g
    # 複雑な計算式の累積和
    x_cum_list = [0] * N
    x_cum = 0
    xcos_cum_list = [0] * N
    xcos_cum = 0
    xsin_cum_list = [0] * N
    xsin_cum = 0
    ysin_cum_list = [0] * N
    ysin_cum = 0
    ycos_cum_list = [0] * N
    ycos_cum = 0
    for i in reversed(range(N - 1)):
        f = f_list[i + 1]
        g = g_list[i + 1]
        t = (2 * math.pi * T[i]) / L
        cos_t = math.cos(t)
        sin_t = math.sin(t)
        x = f * cos_t - g * sin_t
        y = (N - 1 - i) - g * cos_t - f * sin_t
        x_cum += x
        x_cum_list[i] = x_cum
        xcos_cum += x * cos_t
        xcos_cum_list[i] = xcos_cum
        xsin_cum += x * sin_t
        xsin_cum_list[i] = xsin_cum
        ysin_cum += y * sin_t
        ysin_cum_list[i] = ysin_cum
        ycos_cum += y * cos_t
        ycos_cum_list[i] = ycos_cum
    # 
    cum_value_list = [0] * N
    for i in reversed(range(N - 2)):
        t = (2 * math.pi * T[i]) / L
        cos_t = math.cos(t)
        sin_t = math.sin(t)
        value = x_cum_list[i + 1] / 2
        value -= xcos_cum_list[i + 1] * cos_t / 2
        value -= xsin_cum_list[i + 1] * sin_t / 2
        value += ysin_cum_list[i + 1] * cos_t / 2
        value -= ycos_cum_list[i + 1] * sin_t / 2
        cum_value_list[i] = value
    ans = (N * (N - 1) * (N - 2)) // 6
    answer = 0
    for i in range(N):
        answer += cum_value_list[i] / ans 
    print(answer)
if __name__ == "__main__":
    main()
 
 
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