Time Limit: 1.0 s

Memory Limit: 256.0 MB

Description

You are given a positive integer N. You need to find out all possible pair \((i , j)\) such that,
\(0 < i < j < N\) and \(i + j = N.\)

Input

First Line T, the number of test case.
In each test case, a positive integer N.

\(1 <= T <= 10^5\)
\(1 < = N <= 10^9\)

Output

In each test case, Print the total number of pair.

Sample

3
3
5
8

1
2
3

First test case: N = 3,
only pair (i,j) = (1,2) = 1 + 2 = 3, satisfy the condition. So answer is 1.

Second test case : N = 5,
all possible pair (1,4) , (2,3). So answer is 2.