1132 Cut Intege

Cutting an integer means to cut a K digits lone 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 × 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

cpp代码

#include<iostream>
using namespace std;
int n;
int main(){
    cin>>n;
    while(n--){
        string s;
        cin>>s;
        bool st=false;
        string a=s.substr(0,s.size()/2);
        string b=s.substr(s.size()/2);
        int x=stoi(a),y=stoi(b);
        if(x>0&&y>0&&stoi(s)%(x*y)==0)st=true;
        if(st)puts("Yes");
        else puts("No");
    }
    return 0;
}