1132. Cut Integer (20)

Cutting an integer means to cut a K digits long integer Z into two integers of (K/2) digits long integers A and B. For example, after cutting Z = 167334, we have A = 167 and B = 334. It is interesting to see that Z can be devided by the product of A and B, as 167334 / (167 x 334) = 3. Given an integer Z, you are supposed to test if it is such an integer.

Input Specification:

Each input file contains one test case. For each case, the first line gives a positive integer N (<= 20). Then N lines follow, each gives an integer Z (10<=Z<=2³¹). It is guaranteed that the number of digits of Z is an even number.

Output Specification:

For each case, print a single line "Yes" if it is such a number, or "No" if not.

Sample Input:

3
167334
2333
12345678

Sample Output:

Yes
No
No

#include 
#include 
using namespace std;
int main()
{
    int n;
    cin>>n;
    for(int i=0;i>idx;
        int len=to_string(idx).size()/2,base=1;
        while(len--) base*=10;
        int c=(idx/base)*(idx%base);
        if(c&&idx%c==0) cout<<"Yes\n";
        else cout<<"No\n";
    }
    return 0;
}