結果

問題 No.2472 Tea time in the grand garden
ユーザー 👑 SPD_9X2
提出日時 2023-07-19 00:26:43
言語 PyPy3
(7.3.15)
結果
TLE  
(最新)
AC  
(最初)
実行時間 -
コード長 1,667 bytes
コンパイル時間 835 ms
コンパイル使用メモリ 82,588 KB
実行使用メモリ 179,916 KB
最終ジャッジ日時 2024-11-07 03:05:11
合計ジャッジ時間 3,894 ms
ジャッジサーバーID
(参考情報)
judge5 / judge3
このコードへのチャレンジ
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ファイルパターン 結果
sample AC * 2 TLE * 1 -- * 1
other -- * 30
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 #
プレゼンテーションモードにする

"""
Tea Time (5)
Ver
: O(N+K^3)
"""
import sys
from sys import stdin
mod = 998244353
def modfac(n, MOD):
f = 1
factorials = [1]
for m in range(1, n + 1):
f *= m
f %= MOD
factorials.append(f)
inv = pow(f, MOD - 2, MOD)
invs = [1] * (n + 1)
invs[n] = inv
for m in range(n, 1, -1):
inv *= m
inv %= MOD
invs[m - 1] = inv
return factorials, invs
def modnCr(n,r):
if n < 0 or r < 0 or n < r:
return 0
return fac[n] * inv[n-r] * inv[r] % mod
fac,inv = modfac(1000,mod)
N,K = map(int,stdin.readline().split())
#
assert 1 <= N <= 400
assert 0 <= K <= 400
if K == 0:
print (1)
sys.exit()
# 1
dp = [[[0],[0]] for l in range(2)]
dp[0][1][0] = 1 #last,s,p
for i in range(2,2*K+1):
ndp = [[[0] * i for nnum in range(min(K+1,i+1))] for l in range(2)]
for put in range(2): # 0 = ( , 1 = )
for last in range(2):
put_neq_last = (1 if last != put else 0)
for ls in range(len(dp[0])):
news = ls + (1,-1)[put]
if 0 <= news < len(ndp[0]):
for lp in range(len(dp[0][0])):
newp = lp + put_neq_last
ndp[put][news][newp] = (ndp[put][news][newp] + dp[last][ls][lp]) % mod
dp = ndp
#print (dp)
ans = 0
for p in range(len(dp[0][0])):
now = dp[1][0][p] * modnCr(2*K+N-p,N-p)
#print (p,dp[0][p][1] , modnCr(2*K+N-p,N-p))
ans += now
ans %= mod
print (ans)
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