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 <2
31
). 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<bits/stdc++.h>
using namespace std;
int main()
{
int n,a;
cin >> n;
for (int i = 0; i < n; i++)
{
cin >> a;
string str = to_string(a);
int l = stoi(str.substr(0, str.size() / 2)), r = stoi(str.substr(str.size() / 2));
cout << (r * l && a % (l * r)==0 ? "Yes" : "No")<<endl;
}
return 0;
}