Submission #20049

#TimeUsernameProblemLanguageResultExecution timeMemory
20049tonyjjw제비 (kriii4_W)C++14
6 / 100
1895 ms18948 KiB
#include <algorithm> #include <assert.h> #include <complex> #include <ctype.h> #include <functional> #include <iostream> #include <limits.h> #include <locale.h> #include <map> #include <math.h> #include <queue> #include <set> #include <stdio.h> #include <stdlib.h> #include <string.h> #include <time.h> #include <vector> #include <unordered_set> #include <unordered_map> #pragma warning(disable:4996) using namespace std; #define mp make_pair typedef long long ll; typedef unsigned long long ull; typedef double db; typedef long double ldb; typedef pair <int, int> pii; typedef pair <ll, ll> pll; typedef pair <ll, int> pli; typedef pair <ldb, ldb> pdd; int IT_MAX = 131072; const ll MOD = 1000000007; const int INF = 1034567891; const ll LL_INF = 2234567890123456789ll; const db PI = 3.141592653589793238; const ldb ERR = 1E-10; ll mul_inv(ll a, ll b) { ll b0 = b, t, q; ll x0 = 0, x1 = 1; if (b == 1) return 1; while (a > 1) { q = a / b; t = b, b = a % b, a = t; t = x0, x0 = x1 - q * x0, x1 = t; } if (x1 < 0) x1 += b0; return x1; } ll dp[1050][1050]; ll P[1050][1050]; int main() { int T; scanf("%d", &T); for (int tc = 1; tc <= T; tc++) { int R, G, B, K, i, j; scanf("%d %d %d %d", &R, &G, &B, &K); if (tc == 1) { dp[0][0] = 0; P[0][0] = 1; for (i = 0; i <= R; i++) { for (j = 0; j <= 1000; j++) { if (i == 0 && j == 0) continue; int r = R - i, b = B, g = G; ll sum = 0, p = 0; if (i != 0) { r++; ll t = dp[i-1][j] + (b + g + r) * mul_inv(b + r, MOD); t %= MOD; ll tp = P[i - 1][j] * r % MOD * mul_inv(b + r, MOD) % MOD; sum += t * tp; p += tp; r--; } if (j != 0) { ll t = dp[i][j - 1] + (b + g + r) * mul_inv(b + r, MOD); t %= MOD; ll tp = P[i][j - 1] * b % MOD * mul_inv(b + r, MOD) % MOD; sum += t*tp; p += tp; } sum %= MOD; p %= MOD; P[i][j] = p; dp[i][j] = sum * mul_inv(p, MOD) % MOD; } } } ll sum = 0, p = 0; for (i = 0; i <= R; i++) { int r = R - i, g = G, b = B; ll t = dp[i][K - 1]; t += (r + g + b) * mul_inv(r + b, MOD); t %= MOD; ll tp = P[i][K - 1] * b % MOD * mul_inv(r + b, MOD) % MOD; sum += (t*tp) % MOD; p += tp; } sum %= MOD; p %= MOD; printf("%lld\n", sum * mul_inv(p, MOD) % MOD); } return 0; }
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