#P1740A. Factorise N+M

    ID: 739 Type: RemoteJudge 1000ms 256MiB Tried: 0 Accepted: 0 Difficulty: 3 Uploaded By: Tags>constructive algorithmsnumber theory*800

Factorise N+M

Description

Pak Chanek has a prime number^\dagger nn. Find a prime number mm such that n+mn + m is not prime.

^\dagger A prime number is a number with exactly 22 factors. The first few prime numbers are 2,3,5,7,11,13,2,3,5,7,11,13,\ldots. In particular, 11 is not a prime number.

Each test contains multiple test cases. The first line contains an integer tt (1t1041 \leq t \leq 10^4) — the number of test cases. The following lines contain the description of each test case.

The only line of each test case contains a prime number nn (2n1052 \leq n \leq 10^5).

For each test case, output a line containing a prime number mm (2m1052 \leq m \leq 10^5) such that n+mn + m is not prime. It can be proven that under the constraints of the problem, such mm always exists.

If there are multiple solutions, you can output any of them.

Input

Each test contains multiple test cases. The first line contains an integer tt (1t1041 \leq t \leq 10^4) — the number of test cases. The following lines contain the description of each test case.

The only line of each test case contains a prime number nn (2n1052 \leq n \leq 10^5).

Output

For each test case, output a line containing a prime number mm (2m1052 \leq m \leq 10^5) such that n+mn + m is not prime. It can be proven that under the constraints of the problem, such mm always exists.

If there are multiple solutions, you can output any of them.

Sample Input 1

3
7
2
75619

Sample Output 1

2
7
47837

Note

In the first test case, m=2m = 2, which is prime, and n+m=7+2=9n + m = 7 + 2 = 9, which is not prime.

In the second test case, m=7m = 7, which is prime, and n+m=2+7=9n + m = 2 + 7 = 9, which is not prime.

In the third test case, m=47837m = 47837, which is prime, and n+m=75619+47837=123456n + m = 75619 + 47837 = 123456, which is not prime.