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Submission #19274

# Submission time Handle Problem Language Result Execution time Memory
19274 2016-02-24T01:54:39 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; }
};

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;
	frac fac = 1;

	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;
	}
	printf("%lld\n", ans.v());
}

Subtask #1
10.0 / 10.0

# Verdict Execution time Memory Grader output
1 Correct 11 ms 110464 KB Output is correct
2 Correct 23 ms 110464 KB Output is correct
3 Correct 8 ms 110464 KB Output is correct
4 Correct 7 ms 110464 KB Output is correct
5 Correct 17 ms 110464 KB Output is correct
6 Correct 11 ms 110464 KB Output is correct
7 Correct 13 ms 110464 KB Output is correct
8 Correct 11 ms 110464 KB Output is correct
9 Correct 15 ms 110464 KB Output is correct
10 Correct 22 ms 110464 KB Output is correct
11 Correct 8 ms 110464 KB Output is correct
12 Correct 22 ms 110464 KB Output is correct
13 Correct 17 ms 110464 KB Output is correct
14 Correct 19 ms 110464 KB Output is correct
15 Correct 7 ms 110464 KB Output is correct
16 Correct 14 ms 110464 KB Output is correct
17 Correct 8 ms 110464 KB Output is correct
18 Correct 11 ms 110464 KB Output is correct
19 Correct 19 ms 110464 KB Output is correct
20 Correct 17 ms 110464 KB Output is correct

Subtask #2
0.0 / 90.0

# Verdict Execution time Memory Grader output
1 Execution timed out 2000 ms 110460 KB Program timed out
2 Halted 0 ms 0 KB -