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.
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).
Print the requested sum for each of t integers n given in the input.
2
4
1000000000
-4
499999998352516354
The answer for the first sample is explained in the statement.