1633: Maximum Multiple

Memory Limit:128 MB Time Limit:3.000 S
Judge Style:Text Compare Creator:
Submit:2 Solved:1

Description

Given an integer n, Chiaki would like to find three positive integers x, y and z such that: n=x+y+z, x∣n, y∣n, z∣n and xyz is maximum.(若b可被a整除,或a整除b,则可记作a|b)

Input

There are multiple test cases. The first line of input contains an integer T(1≤T≤106), indicating the number of test cases. For each test case:
The first line contains an integer n(1≤n≤106).

Output

For each test case, output an integer denoting the maximum xyz. If there no such integers, output −1 instead.

Sample Input Copy

3
1
2
3

Sample Output Copy

-1
-1
1

HINT