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≤t≤100) − the number of values of n to be processed.

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

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