Pretty Average Primes
Problem Description
Given a positive integer N, please find two prime numbers A and B such that N is exactly the average of A and B, i.e., N = (A + B)/2.
Note: A and B can be equal.
Input Format
- The first line contains an integer T, indicating the number of test cases.
- Each test case consists of one line containing an integer N.
Output Format
For each test case, output one line containing two prime numbers A and B.
It is guaranteed that a solution exists. If there are multiple solutions, output any valid one.
Constraints
- 1 ≤ T ≤ 1000
- 4 ≤ N ≤ 106
Sample Input
4
8
4
7
21
Sample Output
3 13
5 3
7 7
13 29
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