CodeForces 598A Tricky Sum

Tricky Sum

time limit per test

1 second

memory limit per test

256 megabytes

input

standard input

output

standard output

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.

Examples

input

241000000000

output

-4499999998352516354

Note

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

#include<stdio.h>#include<math.h>int main(){int t,i;long long n,ans;scanf("%d",&t);while(t--){scanf("%lld",&n);ans=n*(n+1)/2;for(i=0;pow(2,i)<=n;i++){ans=ans-(2*pow(2,i));}printf("%lld\n",ans);}return 0;}