結果

問題 No.1688 Veterinarian
コンテスト
ユーザー cozy_sauna
提出日時 2021-10-11 13:37:56
言語 PyPy3
(7.3.15)
結果
AC  
実行時間 2,808 ms / 3,000 ms
コード長 2,892 bytes
コンパイル時間 248 ms
コンパイル使用メモリ 82,176 KB
実行使用メモリ 82,432 KB
最終ジャッジ日時 2024-09-15 11:24:24
合計ジャッジ時間 9,445 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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ファイルパターン 結果
sample AC * 3
other AC * 14
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 # 

from sys import setrecursionlimit, stdin
from collections import defaultdict, deque
from itertools import permutations, combinations, product
from functools import lru_cache
from random import sample, choice, randint, random
from heapq import heappush, heappop
from math import factorial, gcd, exp
from copy import copy, deepcopy
from time import time
setrecursionlimit(500000)
readline = stdin.readline
# @lru_cache(maxsize=None)
INF = 10 ** 18
MOD = 1000000007
MOD2 = 998244353
DYDX = [(-1, 0), (1, 0), (0, -1), (0, 1)]
def I(): return int(readline())
def S(): return readline()[:-1]
def LI(): return list(map(int, readline().split()))
def SPI(): return map(int, readline().split())
def SPII(): return map(lambda x: int(x)-1, readline().split())
def FIE(x): return [readline()[:-1] for _ in [0] * x]
def NODE(x): return [[] for _ in [0] * x]
def ranges(*args): return [(i, j) for i in range(args[0]) for j in range(args[-1])]
def nynx(y, x, ly = INF, lx = INF): return [(y+dy, x+dx) for dy, dx in DYDX if 0 <= y+dy < ly and 0 <= x+dx < lx]
def imax(A, idx=-1, m=-(1<<18)):
    for i, a in enumerate(A): m, idx = [[m, idx], [a, i]][m < a]
    return idx
def imin(A, idx=-1, m=1<<18):
    for i, a in enumerate(A): m, idx = [[m, idx], [a, i]][m > a]
    return idx
def cmin(dp, i, x):
    if x < dp[i]: dp[i] = x
def cmax(dp, i, x):
    if x > dp[i]: dp[i] = x
def gen(x, *args):
    ret = [x] * args[-1]
    for e in args[:-1][::-1]: ret = [deepcopy(ret) for _ in [0] * e]
    return ret
def puts(E):
    for e in E: print(e)
def pprint(E): 
    print()
    puts(E)

from operator import mul
from functools import reduce

def nCr(n, r):
    r = min(r, n - r)
    numer = reduce(mul, range(n, n - r, -1), 1)
    denom = reduce(mul, range(1, r + 1), 1)
    return numer // denom
####################################################################

A, B, C, N = SPI()
dp = gen(0, A+1, B+1, C+1)
dp[A][B][C] = 1

for _ in range(N):
    for a in range(A+1):
        for b in range(B+1):
            for c in range(C+1):
                k = 1
                dabc = dp[a][b][c]
                bot = nCr(a+b+c, 2)
                if a >= 2:
                    t = a*(a-1)// 2 / bot
                    dp[a-1][b][c] += dabc * t 
                    k -= t
                
                if b >= 2:
                    t = b*(b-1)//2 / bot
                    dp[a][b-1][c] += dabc * t
                    k -= t

                if c >= 2:
                    t = c*(c-1)//2 / bot
                    dp[a][b][c-1] += dabc * t
                    k -= t 
                dp[a][b][c] *= max(0, k)
                
# ans = gen(0, 3)
aa, ab, ac = 0, 0, 0
for a in range(A+1):
    for b in range(B+1):
        for c in range(C+1):
            aa += dp[a][b][c] * (A-a)
            ab += dp[a][b][c] * (B-b)
            ac += dp[a][b][c] * (C-c)

print(aa, ab, ac)
0