# Tricky Sum

Time Limit: 1 second

Memory Limit: 256 megabytes

## 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 20, 21 and 22 respectively.

Calculate the answer for t values of n.

## Input

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).

## Output

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

## Sample Input

Input241000000000Output-4499999998352516354

## Sample Output

None

## Hint

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

None