题目

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:

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2
3
4

3
167334
2333
12345678

Sample Output:

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3

Yes
No
No

题解

思路

• 挺憨的，照着题目做就行了
• 只要处理好除数为0的特殊情况就可以了。

数据结构

• 不用写了吧

算法

• 不用写了吧

代码

• 由于使用Python可以AC，因此只放了Python的题解。

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n = int(input())
for _ in range(n):
    num = input()
    a = int(num[:len(num) // 2])
    b = int(num[len(num) // 2:])
    if a != 0 and b != 0 and int(num) %(a * b) == 0:
        print("Yes")
    else:
        print("No")