#1027231 (PyPy3) No.2966 Simple Plus Minus Problem

提出ソース

結果

問題	No.2966 Simple Plus Minus Problem
ユーザー	PNJ
提出日時	2024-11-16 18:04:09
言語	PyPy3 (7.3.15)
結果	AC
実行時間	347 ms / 2,567 ms
コード長	5,280 bytes
コンパイル時間	431 ms
コンパイル使用メモリ	82,304 KB
実行使用メモリ	112,260 KB
最終ジャッジ日時	2024-11-16 18:04:24
合計ジャッジ時間	14,498 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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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	41 ms 53,120 KB
testcase_01	AC	38 ms 53,120 KB
testcase_02	AC	41 ms 53,120 KB
testcase_03	AC	294 ms 98,048 KB
testcase_04	AC	321 ms 104,320 KB
testcase_05	AC	42 ms 53,248 KB
testcase_06	AC	66 ms 65,920 KB
testcase_07	AC	107 ms 77,540 KB
testcase_08	AC	96 ms 76,288 KB
testcase_09	AC	107 ms 77,180 KB
testcase_10	AC	65 ms 66,048 KB
testcase_11	AC	107 ms 77,452 KB
testcase_12	AC	65 ms 66,432 KB
testcase_13	AC	109 ms 77,680 KB
testcase_14	AC	63 ms 66,304 KB
testcase_15	AC	76 ms 71,168 KB
testcase_16	AC	46 ms 54,016 KB
testcase_17	AC	110 ms 77,580 KB
testcase_18	AC	74 ms 70,144 KB
testcase_19	AC	107 ms 77,324 KB
testcase_20	AC	106 ms 77,252 KB
testcase_21	AC	78 ms 71,680 KB
testcase_22	AC	62 ms 65,664 KB
testcase_23	AC	93 ms 76,288 KB
testcase_24	AC	117 ms 77,952 KB
testcase_25	AC	103 ms 77,252 KB
testcase_26	AC	108 ms 77,284 KB
testcase_27	AC	116 ms 78,208 KB
testcase_28	AC	99 ms 76,624 KB
testcase_29	AC	115 ms 77,936 KB
testcase_30	AC	79 ms 71,552 KB
testcase_31	AC	106 ms 77,128 KB
testcase_32	AC	42 ms 52,992 KB
testcase_33	AC	42 ms 52,992 KB
testcase_34	AC	214 ms 90,880 KB
testcase_35	AC	323 ms 104,320 KB
testcase_36	AC	224 ms 95,744 KB
testcase_37	AC	210 ms 92,800 KB
testcase_38	AC	304 ms 100,736 KB
testcase_39	AC	306 ms 100,992 KB
testcase_40	AC	222 ms 95,744 KB
testcase_41	AC	325 ms 109,712 KB
testcase_42	AC	303 ms 100,992 KB
testcase_43	AC	317 ms 103,168 KB
testcase_44	AC	331 ms 104,448 KB
testcase_45	AC	337 ms 112,260 KB
testcase_46	AC	328 ms 111,356 KB
testcase_47	AC	327 ms 101,120 KB
testcase_48	AC	312 ms 103,168 KB
testcase_49	AC	310 ms 104,704 KB
testcase_50	AC	219 ms 95,360 KB
testcase_51	AC	295 ms 98,432 KB
testcase_52	AC	340 ms 111,852 KB
testcase_53	AC	330 ms 111,604 KB
testcase_54	AC	347 ms 111,480 KB
testcase_55	AC	317 ms 111,476 KB
testcase_56	AC	328 ms 111,344 KB

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ソースコード

raw source code

mod = 998244353
NTT_friend = [120586241,167772161,469762049,754974721,880803841,924844033,943718401,998244353,1045430273,1051721729,1053818881]
NTT_dict = {}
for i in range(len(NTT_friend)):
  NTT_dict[NTT_friend[i]] = i
NTT_info = [[20,74066978],[25,17],[26,30],[24,362],[23,211],[21,44009197],[22,663003469],[23,31],[20,363],[20,330],[20,2789]]

def popcount(n):
  c = (n&0x5555555555555555) + ((n>>1)&0x5555555555555555)
  c = (c&0x3333333333333333) + ((c>>2)&0x3333333333333333)
  c = (c&0x0f0f0f0f0f0f0f0f) + ((c>>4)&0x0f0f0f0f0f0f0f0f)
  c = (c&0x00ff00ff00ff00ff) + ((c>>8)&0x00ff00ff00ff00ff)
  c = (c&0x0000ffff0000ffff) + ((c>>16)&0x0000ffff0000ffff)
  c = (c&0x00000000ffffffff) + ((c>>32)&0x00000000ffffffff)
  return c

def topbit(n):
  h = n.bit_length()
  h -= 1
  return h

def prepared_fft(mod = 998244353):
  rank2 = NTT_info[NTT_dict[mod]][0]
  root,iroot = [0] * 30,[0] * 30
  rate2,irate2= [0] * 30,[0] * 30
  rate3,irate3= [0] * 30,[0] * 30

  root[rank2] = NTT_info[NTT_dict[mod]][1]
  iroot[rank2] = pow(root[rank2],mod - 2,mod)
  for i in range(rank2 - 1,-1,-1):
    root[i] = root[i + 1] * root[i + 1] % mod
    iroot[i] = iroot[i + 1] * iroot[i + 1] % mod

  prod,iprod = 1,1
  for i in range(rank2-1):
    rate2[i] = root[i + 2] * prod % mod
    irate2[i] = iroot[i + 2] * iprod % mod
    prod = prod * iroot[i + 2] % mod
    iprod = iprod * root[i + 2] % mod
  
  prod,iprod = 1,1
  for i in range(rank2-2):
    rate3[i] = root[i + 3] * prod % mod
    irate3[i] = iroot[i + 3] * iprod % mod
    prod = prod * iroot[i + 3] % mod
    iprod = iprod * root[i + 3] % mod
  
  return root,iroot,rate2,irate2,rate3,irate3

root,iroot,rate2,irate2,rate3,irate3 = prepared_fft()

def ntt(a):
  n = len(a)
  h = topbit(n)
  assert (n == 1 << h)
  le = 0
  while le < h:
    if h - le == 1:
      p = 1 << (h - le - 1)
      rot = 1
      for s in range(1 << le):
        offset = s << (h - le)
        for i in range(p):
          l = a[i + offset]
          r = a[i + offset + p] * rot % mod
          a[i + offset] = (l + r) % mod
          a[i + offset + p] = (l - r) % mod
        rot = rot * rate2[topbit(~s & -~s)] % mod
      le += 1
    else:
      p = 1 << (h - le - 2)
      rot,imag = 1,root[2]
      for s in range(1 << le):
        rot2 = rot * rot % mod
        rot3 = rot2 * rot % mod
        offset = s << (h - le)
        for i in range(p):
          a0 = a[i + offset]
          a1 = a[i + offset + p] * rot
          a2 = a[i + offset + p * 2] * rot2
          a3 = a[i + offset + p * 3] * rot3
          a1na3imag = (a1 - a3) % mod * imag
          a[i + offset] = (a0 + a2 + a1 + a3) % mod
          a[i + offset + p] = (a0 + a2 - a1 - a3) % mod
          a[i + offset + p * 2] = (a0 - a2 + a1na3imag) % mod
          a[i + offset + p * 3] = (a0 - a2 - a1na3imag) % mod
        rot = rot * rate3[topbit(~s & -~s)] % mod
      le += 2

def intt(a):
  n = len(a)
  h = topbit(n)
  assert (n == 1 << h)
  coef = pow(n,mod - 2,mod)
  for i in range(n):
    a[i] = a[i] * coef % mod
  le = h
  while le:
    if le == 1:
      p = 1 << (h - le)
      irot = 1
      for s in range(1 << (le - 1)):
        offset = s << (h - le + 1)
        for i in range(p):
          l = a[i + offset]
          r = a[i + offset + p]
          a[i + offset] = (l + r) % mod
          a[i + offset + p] = (l - r) * irot % mod
        irot = irot * irate2[topbit(~s & -~s)] % mod
      le -= 1
    else:
      p = 1 << (h - le)
      irot,iimag = 1,iroot[2]
      for s in range(1 << (le - 2)):
        irot2 = irot * irot % mod
        irot3 = irot2 * irot % mod
        offset = s << (h - le + 2)
        for i in range(p):
          a0 = a[i + offset]
          a1 = a[i + offset + p]
          a2 = a[i + offset + p * 2]
          a3 = a[i + offset + p * 3]
          a2na3iimag = (a2 - a3) * iimag % mod
          a[i + offset] = (a0 + a1 + a2 + a3) % mod
          a[i + offset + p] = (a0 - a1 + a2na3iimag) * irot % mod
          a[i + offset + p * 2] = (a0 + a1 - a2 - a3) * irot2 % mod
          a[i + offset + p * 3] = (a0 - a1 - a2na3iimag) * irot3 % mod
        irot *= irate3[topbit(~s & -~s)]
        irot %= mod
      le -= 2

def convolute_naive(a,b):
  res = [0] * (len(a) + len(b) - 1)
  for i in range(len(a)):
    for j in range(len(b)):
      res[i + j] = (res[i + j] + a[i] * b[j] % mod) % mod
  return res

def convolute(a,b):
  s = a[:]
  t = b[:]
  n = len(s)
  m = len(t)
  if min(n,m) <= 60:
    return convolute_naive(s,t)
  le = 1
  while le < n + m - 1:
    le *= 2
  s += [0] * (le - n)
  t += [0] * (le - m)
  ntt(s)
  ntt(t)
  for i in range(le):
    s[i] = s[i] * t[i] % mod
  intt(s)
  s = s[:n + m - 1]
  return s

def mod_inv(a,mod = 998244353):
  if mod == 1:
    return 0
  a %= mod
  b,s,t = mod,1,0
  while True:
    if a == 1:
      return s
    t -= (b // a) * s
    b %= a
    if b == 1:
      return t + mod
    s -= (a // b) * t
    a %= b

N,K = map(int,input().split())
A = list(map(int,input().split()))
f = [0 for i in range(N)]
f[0] = 1
n = K // 2
for i in range(2,N,2):
  j = i // 2
  f[i] = f[i - 2] * ((n + j - 1) * mod_inv(j) % mod) % mod

f = convolute(f,A)[:N]
if K % 2:
  for i in range(N):
    if i % 2:
      f[i] = mod - f[i]
  for i in range(N - 1):
    f[i + 1] += f[i]
    f[i + 1] %= mod
print(*f)

yukicoder

結果

テストケース

ソースコード