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 12345678Sample Output:
Yes No No
#include <iostream>
#include <string>
using namespace std;
int main() {
int n;
cin >> n;
for (int i = 0; i < n; ++i){
string s, s0, s1;
cin >> s;
s0 = s.substr(0, s.length()/2);
s1 = s.substr(s.length()/2, s.length());
long long a = stoi(s), b = stoi(s0), c = stoi(s1);
if (b != 0 && c != 0) {
if (a % (b * c) == 0){
cout << "Yes" << endl;
continue;
}
}
cout << "No" << endl;
}
return 0;
}