Time Limit: 1000 MS Memory Limit: 131072 K

## Description

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 2^0, 2^1 and 2^2 respectively.
Calculate the answer for t values of n.
## Input

The first line of the input contains a single integer t (1¡Üt¡Ü100) ¡ª the number of values of n to be processed.
Each of next t lines contains a single integer n (1¡Ün¡Ü10^9).
## Output

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

2
4
1000000000
## Sample Output

-4
499999998352516354