In this problem you are to calculate the sum of all integers from 1 to n , but you should take all powers of two with minus in the sum. For example, for n = 4 the sum is equal to - 1 - 2 + 3 - 4 = - 4, because 1, 2 and 4 are 20 , 21 and 22 respectively. Calculate the answer for t values of n .

输入描述:

The first line of the input contains a single integer t (1 ≤ t ≤ 100) — the number of values of n to be processed.Each of next t lines contains a single integer n (1 ≤ n ≤ 109).

输出描述:

Print the requested sum for each of t integers n given in the input.

备注:

The answer for the first sample is explained in the statement.