山东省ACM竞赛（2013）---Alice and Bob（二进制）

Problem F:Alice and Bob

Time Limit: 1 Sec  Memory Limit: 128 MB
Submit: 48  Solved: 18
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Description

Alice and Bob like playing games very much.Today, they introduce a new game.

There is a polynomial like this: (a₀*x^(2^0)+1) * (a₁ * x^(2^1)+1)*.......*(a_n-1 * x^(2^(n-1))+1). Then Alice ask Bob Q questions. In the expansion of the Polynomial, Given an integer P, please tell the coefficient of the x^P.

Can you help Bob answer these questions?

Input

The first line of the input is a number T, which means the number of the test cases.

For each case, the first line contains a number n, then n numbers a₀, a₁, .... a_n-1 followed in the next line. In the third line is a number Q, and then following Q numbers P.

1 <= T <= 20

1 <= n <= 50

0 <= a_i <= 100

Q <= 1000

0 <= P <= 1234567898765432

Output

For each question of each test case, please output the answer module 2012.

Sample Input

122 1234

Sample Output

20

HINT

The expansion of the (2*x^(2^0) + 1) * (1*x^(2^1) + 1) is 1 + 2*x^1 + 1*x^2 + 2*x^3

Source

山东省第四届ACM程序设计大赛2013.6.9

AC CODE：

#include <iostream>
#include <cmath>
using namespace std;
int a[51];
int main()
{
    int t,n,m,i;
    long long int q,sum;
    cin>>t;
    while ( t-- )
    {
        cin>>n;
        for(i=0; i<n; ++i)
            cin>>a[i];
        cin>>m;
        while( m-- )
        {
            cin>>q;
            i=0;
            sum=1;
            while( q!=0 )
            {
                if( i>=n )
                {
                    sum=0;
                    break;
                }
                if( q%2 )   sum*=a[i];
                ++i;
                q/=2;
                sum=sum%2012;
            }
            cout<<sum<<endl;
        }
    }
    return 0;
}