結果

問題 No.1300 Sum of Inversions
ユーザー 👑 tamatotamato
提出日時 2020-11-27 21:52:35
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 690 ms / 2,000 ms
コード長 2,079 bytes
コンパイル時間 405 ms
コンパイル使用メモリ 87,312 KB
実行使用メモリ 128,268 KB
最終ジャッジ日時 2023-10-01 05:27:47
合計ジャッジ時間 20,128 ms
ジャッジサーバーID
(参考情報)
judge12 / judge11
このコードへのチャレンジ(β)

テストケース

テストケース表示
入力 結果 実行時間
実行使用メモリ
testcase_00 AC 72 ms
71,656 KB
testcase_01 AC 74 ms
71,840 KB
testcase_02 AC 73 ms
71,852 KB
testcase_03 AC 575 ms
100,316 KB
testcase_04 AC 529 ms
100,484 KB
testcase_05 AC 466 ms
98,440 KB
testcase_06 AC 626 ms
121,164 KB
testcase_07 AC 602 ms
109,712 KB
testcase_08 AC 673 ms
122,284 KB
testcase_09 AC 676 ms
122,092 KB
testcase_10 AC 436 ms
103,548 KB
testcase_11 AC 444 ms
103,492 KB
testcase_12 AC 577 ms
100,364 KB
testcase_13 AC 559 ms
100,164 KB
testcase_14 AC 688 ms
127,168 KB
testcase_15 AC 638 ms
121,464 KB
testcase_16 AC 554 ms
100,672 KB
testcase_17 AC 396 ms
100,984 KB
testcase_18 AC 423 ms
99,132 KB
testcase_19 AC 465 ms
98,080 KB
testcase_20 AC 495 ms
97,688 KB
testcase_21 AC 478 ms
97,680 KB
testcase_22 AC 455 ms
98,512 KB
testcase_23 AC 614 ms
121,224 KB
testcase_24 AC 451 ms
97,616 KB
testcase_25 AC 430 ms
100,532 KB
testcase_26 AC 440 ms
100,880 KB
testcase_27 AC 465 ms
99,624 KB
testcase_28 AC 690 ms
125,484 KB
testcase_29 AC 494 ms
98,076 KB
testcase_30 AC 636 ms
122,224 KB
testcase_31 AC 463 ms
98,472 KB
testcase_32 AC 457 ms
97,292 KB
testcase_33 AC 329 ms
112,816 KB
testcase_34 AC 338 ms
128,268 KB
testcase_35 AC 321 ms
106,248 KB
testcase_36 AC 353 ms
126,084 KB
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 #

mod = 998244353
eps = 10**-9


def main():
    import sys
    input = sys.stdin.readline

    class Bit:
        def __init__(self, n):
            self.size = n
            self.tree = [0] * (n + 1)

        def sum(self, i):
            s = 0
            while i > 0:
                s += self.tree[i]
                i -= i & -i
            return s

        def add(self, i, x):
            while i <= self.size:
                self.tree[i] += x
                i += i & -i

        def lower_bound(self, w):
            if w <= 0:
                return 0
            x = 0
            k = 1 << (self.size.bit_length() - 1)
            while k:
                if x + k <= self.size and self.tree[x + k] < w:
                    w -= self.tree[x + k]
                    x += k
                k >>= 1
            return x + 1

    N = int(input())
    A = list(map(int, input().split()))
    A = [(a, i+1) for i, a in enumerate(A)]

    bit_val = Bit(N)
    bit_num = Bit(N)
    A.sort(key=lambda x: x[0], reverse=True)
    prev = -1
    L_val = [0] * (N+1)
    L_num = [0] * (N+1)
    cnt = 0
    for a, i in A:
        if a == prev:
            cnt += 1
        else:
            cnt = 0
            prev = a
        L_val[i] = bit_val.sum(i) - a * cnt
        L_num[i] = bit_num.sum(i) - cnt
        bit_val.add(i, a)
        bit_num.add(i, 1)

    bit_val = Bit(N)
    bit_num = Bit(N)
    A.reverse()
    prev = -1
    R_val = [0] * (N + 1)
    R_num = [0] * (N + 1)
    cnt = 0
    S_val = 0
    S_num = 0
    for a, i in A:
        if a == prev:
            cnt += 1
        else:
            cnt = 0
            prev = a
        R_val[i] = S_val - bit_val.sum(i) - a * cnt
        R_num[i] = S_num - bit_num.sum(i) - cnt
        bit_val.add(i, a)
        bit_num.add(i, 1)
        S_val += a
        S_num += 1

    ans = 0
    for a, i in A:
        ans = (ans + ((a * L_num[i])%mod * R_num[i])%mod)%mod
        ans = (ans + (L_val[i] * R_num[i])%mod)%mod
        ans = (ans + (R_val[i] * L_num[i])%mod)%mod
    print(ans)


if __name__ == '__main__':
    main()
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