HZNUOJ

Give me the answer

Tags:
Time Limit:  1 s      Memory Limit:   32 MB
Submission:39     AC:13     Score:99.16

Description

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)

Input

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

Output

For each test case, output a line with the ans % 1000000000.

Samples

input
1 7
output
6

Source

20100831湖工大校赛