Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

A. Tricky Sum

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputIn 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 ≤ *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}).

Output

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

Examples

Input

2

4

1000000000

Output

-4

499999998352516354

Note

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

Codeforces (c) Copyright 2010-2020 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: Jan/25/2020 12:49:16 (e1).

Desktop version, switch to mobile version.

Supported by

User lists

Name |
---|