結果
| 問題 |
No.3315 FPS Game
|
| コンテスト | |
| ユーザー |
kidodesu
|
| 提出日時 | 2025-04-13 10:49:23 |
| 言語 | PyPy3 (7.3.15) |
| 結果 |
RE
|
| 実行時間 | - |
| コード長 | 5,395 bytes |
| コンパイル時間 | 617 ms |
| コンパイル使用メモリ | 82,336 KB |
| 実行使用メモリ | 137,120 KB |
| 最終ジャッジ日時 | 2025-05-02 20:02:12 |
| 合計ジャッジ時間 | 12,286 ms |
|
ジャッジサーバーID (参考情報) |
judge3 / judge5 |
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| ファイルパターン | 結果 |
|---|---|
| sample | AC * 2 |
| other | AC * 16 RE * 9 |
ソースコード
mod = 998244353
N = 10 ** 6 + 2
F = [1] * N
E = [1] * N
for i in range(2, N):
F[i] = F[i-1]*i%mod
E[-1] = pow(F[-1], -1, mod)
for i in range(N-1, 0, -1):
E[i-1] = E[i]*i%mod
def comb(a, b):
if b < 0:
return 0
if a < b:
return 0
return F[a] * E[b] * E[a-b] % mod
_IMAG = 911660635
_IIMAG = 86583718
_rate2 = (0, 911660635, 509520358, 369330050, 332049552, 983190778, 123842337, 238493703, 975955924, 603855026, 856644456, 131300601, 842657263, 730768835, 942482514, 806263778, 151565301, 510815449, 503497456, 743006876, 741047443, 56250497, 867605899, 0)
_irate2 = (0, 86583718, 372528824, 373294451, 645684063, 112220581, 692852209, 155456985, 797128860, 90816748, 860285882, 927414960, 354738543, 109331171, 293255632, 535113200, 308540755, 121186627, 608385704, 438932459, 359477183, 824071951, 103369235, 0)
_rate3 = (0, 372528824, 337190230, 454590761, 816400692, 578227951, 180142363, 83780245, 6597683, 70046822, 623238099, 183021267, 402682409, 631680428, 344509872, 689220186, 365017329, 774342554, 729444058, 102986190, 128751033, 395565204, 0)
_irate3 = (0, 509520358, 929031873, 170256584, 839780419, 282974284, 395914482, 444904435, 72135471, 638914820, 66769500, 771127074, 985925487, 262319669, 262341272, 625870173, 768022760, 859816005, 914661783, 430819711, 272774365, 530924681, 0)
def _fft(a):
n = len(a)
h = (n - 1).bit_length()
le = 0
for le in range(0, h - 1, 2):
p = 1 << (h - le - 2)
rot = 1
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[(~s & -~s).bit_length()] % mod
if h - le & 1:
rot = 1
for s in range(1 << (h - 1)):
offset = s << 1
l = a[offset]
r = a[offset + 1] * rot
a[offset] = (l + r) % mod
a[offset + 1] = (l - r) % mod
rot = rot * _rate2[(~s & -~s).bit_length()] % mod
def _ifft(a):
n = len(a)
h = (n - 1).bit_length()
le = h
for le in range(h, 1, -2):
p = 1 << (h - le)
irot = 1
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 = irot * _irate3[(~s & -~s).bit_length()] % mod
if le & 1:
p = 1 << (h - 1)
for i in range(p):
l = a[i]
r = a[i + p]
a[i] = l + r if l + r < mod else l + r - mod
a[i + p] = l - r if l - r >= 0 else l - r + mod
def ntt(a) -> None:
if len(a) <= 1: return
_fft(a)
def intt(a) -> None:
if len(a) <= 1: return
_ifft(a)
iv = pow(len(a), mod - 2, mod)
for i, x in enumerate(a): a[i] = x * iv % mod
def multiply(s: list, t: list) -> list:
n, m = len(s), len(t)
l = n + m - 1
if min(n, m) <= 60:
a = [0] * l
for i, x in enumerate(s):
for j, y in enumerate(t):
a[i + j] += x * y
return [x % mod for x in a]
z = 1 << (l - 1).bit_length()
a = s + [0] * (z - n)
b = t + [0] * (z - m)
_fft(a)
_fft(b)
for i, x in enumerate(b): a[i] = a[i] * x % mod
_ifft(a)
a[l:] = []
iz = pow(z, mod - 2, mod)
return [x * iz % mod for x in a]
def merge(l, r):
if l == r:
a = A[l]
return [(comb(a, i) * F[i]) % mod for i in range(a+1)]
mid = l + r >> 1
return multiply(merge(l, mid), merge(mid + 1, r))
from collections import deque
n, s, t = map(int, input().split())
s, t = s-1, t-1
N = 2*n-1
node = [[] for _ in range(N)]
V = [0] * N
for i in range(n-1):
u, v = [int(x)-1 for x in input().split()]
node[u].append(n+i)
node[v].append(n+i)
node[n+i].append(u)
node[n+i].append(v)
V[u] += 1
V[v] += 1
V[n+i] += 2
D = [-1] * N
D[n+s] = 0
dq = deque([n+s])
while dq:
now = dq.popleft()
for nxt in node[now]:
if D[nxt] == -1:
D[nxt] = D[now] + 1
dq.append(nxt)
now = n+t
A = []
cnt = 0
while now != n+s:
if 0 <= now < n and V[now] > 2:
A.append(V[now]-2)
if n <= now:
cnt += 1
for nxt in node[now]:
if D[nxt] < D[now]:
now = nxt
break
Ans = [0] * cnt + merge(0, len(A)-1)
Ans += [0] * (n - len(Ans))
print(*Ans)
kidodesu