Farmer John commanded his cows to search for different sets of numbers that sum to a given number.

The cows use only numbers that are an integer power of 2. Here are the possible sets of numbers that

sum to 7:

1) 1+1+1+1+1+1+1

2) 1+1+1+1+1+2

3) 1+1+1+2+2

4) 1+1+1+4

5) 1+2+2+2

6) 1+2+4

Help FJ count all possible representations for a given integer N (1 <= N <= 1 ,000,000)

The first line of the input contains the number of test cases in the file. And t he first line of each case

contains one integer numbers n