分数 20

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作者 CHEN, Yue

单位 浙江大学

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

代码长度限制

16 KB

时间限制

400 ms

内存限制

64 MB

#include<bits/stdc++.h>
using namespace std;
int main(){
    int n;
    cin>>n;
    string s;
    for(int i=0;i<n;i++){
        cin>>s;
        int len=s.size();
        int a=stoi(s.substr(0,len/2));
        int b=stoi(s.substr(len/2));
        int c=a*b;
        if(c!=0&&stoi(s)%c==0)puts("Yes");
        else puts("No");
    } 
    return 0;
}