Submission #19276

# Submission time Handle Problem Language Result Execution time Memory
19276 2016-02-24T02:04:43 Z kaTkaHr 능력 (kriii4_S) C++14
10 / 100
2000 ms 110464 KB
#include <stdio.h>
#include<vector>
#include <algorithm>
#include <map>

using namespace std;

typedef long long ll;

const int MX = 1000005, 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){}
    frac(ll a, ll b){
			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 P[MX], Q[MX], A[MX], B[MX], C[MX], D[MX], R[MX];

int main()
{
	int N, p, q;

	scanf("%d", &N);
	for(int i = 1; i <= N; i++){
		scanf("%d%d", &p, &q);
		P[i] = frac(p, 1000000000);
		Q[i] = q;
	}
	
	for(int i = 1; i <= N; i++){
		frac mul = 1;
		for(int j = 1; j <= N; j++){
			mul = mul * P[i];
			B[j] = B[j] + mul;
			D[j] = D[j] + mul * Q[i];
		}
	}

	A[0] = 1;
	for(int i = 1; i <= N; i++){
		int p = 1;
		for(int j = i-1; j >= 0; j--){
			A[i] = A[i] + A[j] * B[i-j] * p;
			p = -p;
		}
		A[i] = A[i] / i;
	}
	
	for(int i = 1; i <= N; i++){
		int p = 1;
		for(int j = i-1; j >= 0; j--){
			C[i] = C[i] + A[j] * D[i-j] * p;
			p = -p;
		}
	}
	frac ans = 0;
	p = 1;
	for(int i = 1; i <= N; i++){
		ans = ans + C[i] / i * p;
		p = -p;
	}
	if( ans.v() == 0 ) for(;;);
	printf("%lld\n", ans.v());
}
# Verdict Execution time Memory Grader output
1 Correct 16 ms 110464 KB Output is correct
2 Correct 13 ms 110464 KB Output is correct
3 Correct 19 ms 110464 KB Output is correct
4 Correct 13 ms 110464 KB Output is correct
5 Correct 11 ms 110464 KB Output is correct
6 Correct 19 ms 110464 KB Output is correct
7 Correct 17 ms 110464 KB Output is correct
8 Correct 11 ms 110464 KB Output is correct
9 Correct 11 ms 110464 KB Output is correct
10 Correct 19 ms 110464 KB Output is correct
11 Correct 23 ms 110464 KB Output is correct
12 Correct 18 ms 110464 KB Output is correct
13 Correct 13 ms 110464 KB Output is correct
14 Correct 15 ms 110464 KB Output is correct
15 Correct 15 ms 110464 KB Output is correct
16 Correct 4 ms 110464 KB Output is correct
17 Correct 17 ms 110464 KB Output is correct
18 Correct 13 ms 110464 KB Output is correct
19 Correct 8 ms 110464 KB Output is correct
20 Correct 12 ms 110464 KB Output is correct
# Verdict Execution time Memory Grader output
1 Execution timed out 2000 ms 110460 KB Program timed out
2 Halted 0 ms 0 KB -