# | Time | Username | Problem | Language | Result | Execution time | Memory |
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20049 | | tonyjjw | 제비 (kriii4_W) | C++14 | | 1895 ms | 18948 KiB |
This submission is migrated from previous version of oj.uz, which used different machine for grading. This submission may have different result if resubmitted.
#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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