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.

The first line of the input contains a single integer t (1 \le t \le 100) - the number of values of n to be processed.

Each of next t lines contains a single integer n (1 \le n \le 109).

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

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