You will be given a positive integer K. Your task is to find the number of ordered pairs of positive integers (a,b) where 1 ≤ a < b < K such that a + b ≤ K.
The first line of input contains a single integer T denoting the number of test cases.
Then T test cases follow. The first and only line of each test case consists of K.
Corresponding to each test case, in a new line, print the number of ordered pairs of positive integers (a,b) where 1 ≤ a < b < K such that a + b ≤ K.
1 ≤ T ≤ 100
1 ≤ K ≤ 1000
For K = 4, the two ordered pairs are (1,2) and (1,3). For K = 5, the four ordered pairs (1,2), (1,3), (1,4) and (2,3).
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