Shreyansh has an integer N. He is really curious about the binary representation of integers. He sees that any given integer has a number of set bits. Now he wants to find out that how many positive integers, strictly less than N, have the same number of set bits as N.
He is a little weak in maths. Help him find the number of integers.
Note : Since N takes large values, brute force won't work.
First line of input contains a single integer T denoting the number of test cases.
The only line of each test case contains an integer N.
For each test case, print the required answer in a new line.
1 <= T <= 1000
1 <= N <= 10^12
Case 1 :
Binary representation of 8 : 1000
So the integers less than 8 with same number of set bits are : 4, 2, 1
Case 2 :
Binary representation of 1 : 1
There are no positive integers less than 1.
Case 3 :
Binary representation of 8 : 100
So the integers less than 4 with same number of set bits are : 2, 1