結果

問題 No.1688 Veterinarian
ユーザー cozy_saunacozy_sauna
提出日時 2021-10-11 13:33:23
言語 Python3
(3.12.2 + numpy 1.26.4 + scipy 1.12.0)
結果
TLE  
実行時間 -
コード長 2,851 bytes
コンパイル時間 759 ms
コンパイル使用メモリ 11,312 KB
実行使用メモリ 15,020 KB
最終ジャッジ日時 2023-10-13 14:32:27
合計ジャッジ時間 7,410 ms
ジャッジサーバーID
（参考情報） 		judge15 / judge14
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 27 ms
9,580 KB
testcase_01 AC 27 ms
9,760 KB
testcase_02 AC 30 ms
9,764 KB
testcase_03 AC 26 ms
9,596 KB
testcase_04 AC 27 ms
9,648 KB
testcase_05 AC 28 ms
9,660 KB
testcase_06 AC 63 ms
9,612 KB
testcase_07 AC 1,349 ms
15,020 KB
testcase_08 TLE -
testcase_09 -- -
testcase_10 -- -
testcase_11 -- -
testcase_12 -- -
testcase_13 -- -
testcase_14 -- -
testcase_15 -- -
testcase_16 -- -
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
                if a >= 2:
                    t = nCr(a, 2) / nCr(a+b+c, 2)
                    dp[a-1][b][c] += dp[a][b][c] * t 
                    k -= t
                
                if b >= 2:
                    t = nCr(b, 2) / nCr(a+b+c, 2)
                    dp[a][b-1][c] += dp[a][b][c] * t
                    k -= t

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

print(*ans)
0