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Contest 1001: BISTU 20110904 In-school contest - Problem 1068: Give me the answer

Problem ID 1068
Title Give me the answer
pdf  
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.

Sample Input
1
7
Sample Output
6
Hint
Last Modified 2012-04-11 00:34:13
Time Limit 1 seconds
Memory Limit 32 MB
Accepted Solutions 1
Submitted Solutions 1
Difficulty Factor 0