#1027226 (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 17:59:42
言語	PyPy3 (7.3.15)
結果	RE
実行時間	-
コード長	5,601 bytes
コンパイル時間	600 ms
コンパイル使用メモリ	82,268 KB
実行使用メモリ	129,812 KB
最終ジャッジ日時	2024-11-16 17:59:55
合計ジャッジ時間	10,887 ms
ジャッジサーバーID （参考情報）	judge1 / judge3

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	69 ms 69,036 KB
testcase_01	AC	71 ms 69,684 KB
testcase_02	AC	69 ms 69,600 KB
testcase_03	AC	295 ms 116,980 KB
testcase_04	AC	304 ms 124,212 KB
testcase_05	AC	72 ms 69,788 KB
testcase_06	AC	85 ms 77,836 KB
testcase_07	AC	118 ms 84,224 KB
testcase_08	AC	109 ms 83,952 KB
testcase_09	AC	123 ms 84,624 KB
testcase_10	AC	85 ms 77,128 KB
testcase_11	AC	116 ms 84,608 KB
testcase_12	AC	86 ms 77,000 KB
testcase_13	AC	122 ms 84,740 KB
testcase_14	AC	85 ms 77,332 KB
testcase_15	AC	100 ms 81,496 KB
testcase_16	AC	75 ms 71,068 KB
testcase_17	AC	121 ms 84,636 KB
testcase_18	AC	95 ms 81,084 KB
testcase_19	AC	122 ms 84,144 KB
testcase_20	AC	122 ms 83,972 KB
testcase_21	AC	99 ms 81,620 KB
testcase_22	AC	87 ms 77,704 KB
testcase_23	AC	112 ms 83,816 KB
testcase_24	AC	137 ms 84,992 KB
testcase_25	AC	119 ms 83,868 KB
testcase_26	AC	125 ms 84,680 KB
testcase_27	AC	128 ms 85,280 KB
testcase_28	AC	115 ms 83,824 KB
testcase_29	AC	130 ms 85,100 KB
testcase_30	AC	101 ms 81,800 KB
testcase_31	AC	119 ms 83,996 KB
testcase_32	AC	71 ms 69,120 KB
testcase_33	AC	71 ms 69,008 KB
testcase_34	RE	-
testcase_35	RE	-
testcase_36	RE	-
testcase_37	RE	-
testcase_38	RE	-
testcase_39	RE	-
testcase_40	RE	-
testcase_41	RE	-
testcase_42	RE	-
testcase_43	RE	-
testcase_44	RE	-
testcase_45	RE	-
testcase_46	RE	-
testcase_47	RE	-
testcase_48	RE	-
testcase_49	RE	-
testcase_50	RE	-
testcase_51	RE	-
testcase_52	AC	318 ms 129,812 KB
testcase_53	RE	-
testcase_54	RE	-
testcase_55	RE	-
testcase_56	RE	-

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

raw source code

mod = 998244353
n = 300000
inv = [1 for j in range(n + 1)]
for a in range(2,n + 1):
  # ax + py = 1 <=> rx + p(-x-qy) = -q => x = -(inv[r]) * (p//a)  (r = p % a)
  res = (mod - inv[mod % a]) * (mod // a)
  inv[a] = res % mod

fact = [1 for i in range(n + 1)]
for i in range(1,n + 1):
  fact[i] = fact[i - 1] * i % mod

fact_inv = [1 for i in range(n + 1)]
fact_inv[-1] = pow(fact[-1],mod - 2,mod)
for i in range(n,0,-1):
  fact_inv[i - 1] = fact_inv[i] * i % mod

def binom(n,r):
  if n < r or n < 0 or r < 0:
    return 0
  res = fact_inv[n - r] * fact_inv[r] % mod
  res *= fact[n]
  res %= mod
  return res

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

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