A10139. Tricky Sum

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 $n$ .

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 $n$ ( $1<=n<=10^{9}$ ).

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.