# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|
19268 | | kaTkaHr | 제비 (kriii4_W) | C++14 | | 131 ms | 142176 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 <stdio.h>
#include<vector>
#include <algorithm>
#include <map>
using namespace std;
typedef long long ll;
const int MX = 3005, MM = 1000000007;
ll pw(ll A, ll B){
ll R = 1;
while(B){
if( B&1 ) R = R * A % MM;
A = A * A % MM; B /= 2;
}
return R;
}
ll rv(ll A){ return pw(A, MM-2); }
struct frac{
ll A, B;
frac(ll A):A(A), B(1){}
frac(ll a, ll b){
A = (a%MM+MM) % MM;
B = (b%MM+MM) % MM;
}
frac(){A = 0, B = 1;}
frac operator+ (const frac &l)const{
return frac((A * l.B + B * l.A) % MM, B * l.B % MM);
}
frac operator*(const frac &l)const{
return frac(A*l.A % MM, B*l.B % MM);
}
frac operator/(const frac &l)const{
return frac(A*l.B % MM, B*l.A % MM);
}
frac operator- (const frac &l)const{
return frac((A*l.B - B*l.A%MM + MM) % MM, B*l.B % MM);
}
ll v(){ return A * rv(B) % MM; }
};
frac pw(frac A, ll B){
frac R = 1;
while(B){
if( B&1 ) R = R * A;
A = A * A; B /= 2;
}
return R;
}
frac P[MX][MX];
int main()
{
int R, G, B, K, T;
int TT;
scanf("%d", &TT);
for(int tt = 1; tt <= TT; tt++){
scanf("%d%d%d%d", &R, &G, &B, &K);
if( tt == 1 ){
for(int i = 0; i <= R; i++) P[i][1000] = 0;
for(int i = R; i >= 0; i--){
for(int j = 999; j >= 0; j--){
int T = R + G + B - i;
P[i][j] = P[i][j+1] * frac(B, T) + 1;
if( i < R ) P[i][j] = P[i][j] + P[i+1][j] * frac(R-i, T);
P[i][j] = P[i][j] * frac(T, T-G);
}
}
printf("%lld\n", P[0][1000-K].v());
}
else{
printf("%lld\n", P[0][1000-K].v());
}
}
}
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