The Unsolvable Problem

There are many unsolvable problem in the world.It could be about one or about zero.But this time it is about bigger number.
Given an integer n(2 <= n <= 10⁹).We should find a pair of positive integer a, b so that a + b = n and [a, b] is as large as possible. [a, b] denote the least common multiplier of a, b.

The first line contains integer T(1<= T<= 10000),denote the number of the test cases.
For each test cases,the first line contains an integer n.

For each test cases,print the maximum [a,b] in a line.

3
2
3
4

1
2
3

WJMZBMR

2013 Multi-University Training Contest 3