# | Time | Username | Problem | Language | Result | Execution time | Memory |
---|
19285 | | kaTkaHr | 로봇 (kriii4_F) | C++14 | | 1000 ms | 16868 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 = 1005, 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; }
};// */
/*
struct frac{
ll A;
frac(ll A):A((A%MM+MM)%MM){}
frac(ll a, ll b){
a = (a%MM+MM)%MM;
b = (b%MM+MM)%MM;
A = rv(b) * a % MM;
}
frac(){A = 0;}
frac operator+ (const frac &l)const{
return l.A + A >= MM? l.A + A - MM: l.A + A;
}
frac operator*(const frac &l)const{
return l.A * A % MM;
}
frac operator/(const frac &l)const{
return A * rv(l.A) % MM;
}
frac operator- (const frac &l)const{
return A >= l.A? A-l.A: A-l.A + MM;
}
ll v(){ return A; }
};// */
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 CC[MX][MX];
frac C(ll A, ll B)
{
return CC[A][B];
}
int main()
{
CC[0][0] = 1;
for(int i = 1; i <= 100; i++){
CC[i][0] = 1;
for(int j = 1; j <= i; j++) CC[i][j] = CC[i-1][j] + CC[i-1][j-1];
}
int N, L, M, R;
scanf("%d%d%d%d", &N, &L, &M, &R);
frac ans = 0;
for(int i = 1; i < N; i++){
for(int j = 0; j <= i; j++){
frac res = 0;
for(int k = 0; k+j <= i; k++){
frac tmp = pw(frac(R, L+M+R), k) * pw(frac(M, L+M+R), i-j-k) * C(i-j, k);
if( (j+k) %2 == 1 );
else if( (j+3*k)%4 == 0) res = res + tmp;
else res = res - tmp;
}
ans = ans + res * pw(frac(L, L+M+R), j) * C(i, j) * (N-i);
}
}
ans = ans * 2 + N;
printf("%lld\n", ans.v());
}
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