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 <). 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
1 #include <iostream> 2 #include <string> 3 using namespace std; 4 int main() 5 { 6 int n, num, a, b; 7 cin >> n; 8 while (n--) 9 { 10 string str, str1, str2; 11 cin >> str; 12 str1.assign(str.begin(), str.begin() + str.length() / 2); 13 str2.assign(str.begin() + str.length() / 2, str.end()); 14 num = atoi(str.c_str()); 15 a = atoi(str1.c_str()); 16 b = atoi(str2.c_str()); 17 if ((a*b) > 0 && num % (a*b) == 0) 18 cout << "Yes" << endl; 19 else 20 cout << "No" << endl; 21 } 22 return 0; 23 24 }