#1677. [Usaco2005 Jan]Sumsets 求和

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).

给出一个N(1≤N≤10^6)，使用一些2的若干次幂的数相加来求之．问有多少种方法

样例输入

			
7

样例输出

			
6



有以下六种方式

    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