結果

問題 No.1307 Rotate and Accumulate
ユーザー tamatotamato
提出日時 2021-08-13 14:11:19
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 268 ms / 5,000 ms
コード長 3,119 bytes
コンパイル時間 250 ms
コンパイル使用メモリ 82,532 KB
実行使用メモリ 118,372 KB
最終ジャッジ日時 2024-04-14 07:19:32
合計ジャッジ時間 5,720 ms
ジャッジサーバーID
（参考情報） 		judge2 / judge5
このコードへのチャレンジ
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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 40 ms
53,316 KB
testcase_01 AC 41 ms
54,668 KB
testcase_02 AC 41 ms
52,528 KB
testcase_03 AC 48 ms
59,628 KB
testcase_04 AC 48 ms
61,352 KB
testcase_05 AC 48 ms
60,784 KB
testcase_06 AC 45 ms
58,420 KB
testcase_07 AC 40 ms
54,400 KB
testcase_08 AC 234 ms
106,076 KB
testcase_09 AC 234 ms
105,924 KB
testcase_10 AC 179 ms
108,320 KB
testcase_11 AC 156 ms
92,404 KB
testcase_12 AC 178 ms
108,312 KB
testcase_13 AC 95 ms
87,112 KB
testcase_14 AC 122 ms
89,524 KB
testcase_15 AC 268 ms
117,656 KB
testcase_16 AC 267 ms
117,556 KB
testcase_17 AC 267 ms
117,872 KB
testcase_18 AC 258 ms
116,280 KB
testcase_19 AC 257 ms
118,372 KB
testcase_20 AC 255 ms
118,256 KB
testcase_21 AC 39 ms
54,128 KB
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ソースコード

diff # 

mod = 998244353
W = (
1, 998244352, 911660635, 372528824, 929031873, 452798380, 922799308, 781712469, 476477967, 166035806, 258648936,
584193783, 63912897, 350007156, 666702199, 968855178, 629671588, 24514907, 996173970, 363395222, 565042129,
733596141, 267099868, 15311432)
IW = (1, 998244352, 86583718, 509520358, 337190230, 87557064, 609441965, 135236158, 304459705, 685443576, 381598368,
      335559352, 129292727, 358024708, 814576206, 708402881, 283043518, 3707709, 121392023, 704923114, 950391366,
      428961804, 382752275, 469870224)


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


    # A: 係数を並べたベクトル，len(A) = 2^n
    def fft(A):
        N = len(A)
        n = N.bit_length() - 1
        N2 = N // 2
        A_new = [0] * N
        for lv in range(n):
            L = 1 << (n - lv - 1)
            w = W[lv + 1]
            ww = 1
            for j in range(1 << lv):
                for i in range(L):
                    f0_val = A[i + j * L * 2]
                    f1_val = A[i + j * L * 2 + L]
                    tmp = (ww * f1_val) % mod
                    A_new[i + j * L] = (f0_val + tmp) % mod
                    A_new[i + j * L + N2] = (f0_val - tmp) % mod
                ww = (ww * w) % mod
            A, A_new = A_new, A
        return A

    # A: 係数を並べたベクトル，len(A) = 2^n
    def ifft(A):
        N = len(A)
        n = N.bit_length() - 1
        N2 = N // 2
        A_new = [0] * N
        for lv in range(n):
            L = 1 << (n - lv - 1)
            w = IW[lv + 1]
            ww = 1
            for j in range(1 << lv):
                for i in range(L):
                    f0_val = A[i + j * L * 2]
                    f1_val = A[i + j * L * 2 + L]
                    tmp = (ww * f1_val) % mod
                    A_new[i + j * L] = (f0_val + tmp) % mod
                    A_new[i + j * L + N2] = (f0_val - tmp) % mod
                ww = (ww * w) % mod
            A, A_new = A_new, A
        return A

    def convolution(A0, B0, limit):
        if len(A0) <= 60 or len(B0) <= 60:
            return convolution_naive(A0, B0, limit)
        N = len(A0) + len(B0) - 1
        N0 = 1 << ((N - 1).bit_length())
        A = A0 + [0] * (N0 - len(A0))
        B = B0 + [0] * (N0 - len(B0))
        AA = fft(A)
        BB = fft(B)
        CC = [(aa * bb) % mod for aa, bb in zip(AA, BB)]
        C = ifft(CC)
        invN0 = pow(N0, mod - 2, mod)
        C = [(c * invN0) % mod for c in C]
        return C[:limit]

    def convolution_naive(A0, B0, limit):
        NA = len(A0)
        NB = len(B0)
        C = [0] * (NA + NB - 1)
        for i in range(NA):
            for j in range(NB):
                C[i + j] = (C[i + j] + (A0[i] * B0[j]) % mod) % mod
        return C[:limit]

    N, Q = map(int, input().split())
    A = list(map(int, input().split()))
    R = list(map(int, input().split()))

    B = [0] * (N+1)
    for r in R:
        B[N-r] += 1
    C = convolution(A, B, N*2)
    ans = [0] * N
    for i in range(N):
        ans[i] = (C[i] + C[i+N])%mod
    print(*ans)


if __name__ == '__main__':
    main()
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