1132 Cut Integer (20分)

 

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