結果

問題 No.1307 Rotate and Accumulate
ユーザー googol_S0googol_S0
提出日時 2020-12-04 00:07:18
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 285 ms / 5,000 ms
コード長 2,712 bytes
コンパイル時間 260 ms
コンパイル使用メモリ 87,032 KB
実行使用メモリ 119,000 KB
最終ジャッジ日時 2023-10-12 10:43:32
合計ジャッジ時間 5,489 ms
ジャッジサーバーID
(参考情報)
judge11 / judge12
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 73 ms
71,312 KB
testcase_01 AC 72 ms
71,128 KB
testcase_02 AC 72 ms
71,172 KB
testcase_03 AC 76 ms
75,476 KB
testcase_04 AC 78 ms
75,644 KB
testcase_05 AC 79 ms
75,820 KB
testcase_06 AC 76 ms
75,564 KB
testcase_07 AC 74 ms
71,132 KB
testcase_08 AC 244 ms
100,884 KB
testcase_09 AC 250 ms
103,396 KB
testcase_10 AC 198 ms
99,388 KB
testcase_11 AC 179 ms
91,576 KB
testcase_12 AC 198 ms
98,988 KB
testcase_13 AC 122 ms
89,148 KB
testcase_14 AC 147 ms
90,984 KB
testcase_15 AC 283 ms
118,908 KB
testcase_16 AC 285 ms
118,572 KB
testcase_17 AC 284 ms
118,704 KB
testcase_18 AC 279 ms
113,244 KB
testcase_19 AC 282 ms
119,000 KB
testcase_20 AC 285 ms
118,928 KB
testcase_21 AC 72 ms
71,328 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 #

_fft_mod = 998244353
_fft_sum_e = [911660635, 509520358, 369330050, 332049552, 983190778, 123842337, 238493703, 975955924, 603855026, 856644456, 131300601,
              842657263, 730768835, 942482514, 806263778, 151565301, 510815449, 503497456, 743006876, 741047443, 56250497, 0, 0, 0, 0, 0, 0, 0, 0, 0]
_fft_sum_ie = [86583718, 372528824, 373294451, 645684063, 112220581, 692852209, 155456985, 797128860, 90816748, 860285882, 927414960,
               354738543, 109331171, 293255632, 535113200, 308540755, 121186627, 608385704, 438932459, 359477183, 824071951, 0, 0, 0, 0, 0, 0, 0, 0, 0]
 
 
def butterfly_998244353(a):
    n = len(a)
    h = (n - 1).bit_length()
    for ph in range(1, h + 1):
        w = 1 << (ph - 1)
        p = 1 << (h - ph)
        now = 1
        for s in range(w):
            offset = s << (h - ph + 1)
            for i in range(p):
                l = a[i + offset]
                r = a[i + offset + p] * now % _fft_mod
                a[i + offset] = (l + r) % _fft_mod
                a[i + offset + p] = (l - r) % _fft_mod
            now = now * _fft_sum_e[(~s & -~s).bit_length() - 1] % _fft_mod
 
 
def butterfly_inv_998244353(a):
    n = len(a)
    h = (n - 1).bit_length()
    for ph in range(h, 0, -1):
        w = 1 << (ph - 1)
        p = 1 << (h - ph)
        inow = 1
        for s in range(w):
            offset = s << (h - ph + 1)
            for i in range(p):
                l = a[i + offset]
                r = a[i + offset + p]
                a[i + offset] = (l + r) % _fft_mod
                a[i + offset + p] = (l - r) * inow % _fft_mod
            inow = inow * _fft_sum_ie[(~s & -~s).bit_length() - 1] % _fft_mod
 
 
def convolution_998244353(a, b):
    a = a.copy()
    b = b.copy()
    n = len(a)
    m = len(b)
    if n == 0 or m == 0:
        return []
    if min(n, m) <= 60:
        if n < m:
            n, m = m, n
            a, b = b, a
        ans = [0] * (n + m - 1)
        for i in range(n):
            for j in range(m):
                ans[i + j] = (ans[i + j] + a[i] * b[j] % _fft_mod) % _fft_mod
        return ans
 
    z = 1 << (n + m - 2).bit_length()
    a += [0] * (z - n)
    b += [0] * (z - m)
    butterfly_998244353(a)
    butterfly_998244353(b)
    for i in range(z):
        a[i] = a[i] * b[i] % _fft_mod
    butterfly_inv_998244353(a)
    a = a[:n + m - 1]
    iz = pow(z, _fft_mod - 2, _fft_mod)
    for i in range(n + m - 1):
        a[i] = a[i] * iz % _fft_mod
    
    return a

N,Q=map(int,input().split())
A=list(map(int,input().split()))
R=list(map(int,input().split()))
B=[0]*N
for i in range(Q):
  B[-R[i]]+=1
X=convolution_998244353(A,B)
for i in range(N):
  X.append(0)
print(*[X[i]+X[N+i] for i in range(N)])
0