题目描述

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 $n$ .

输入格式

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

输出格式

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

题目大意

简明题意：

该题目有多组数据，每组数据给出一个n，让你求出从1到n的和，但是其中每当遇到一个数是2的次幂时，就要变加为减。例如输入n=4，那么计算算式为-1-2+3-4=-4，因为1是2^0，2是2^1，4是2^2。共有t组数据。

2
4
1000000000

-4
499999998352516354

提示

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