求和方案 - Problem

#22697. 求和方案

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Farmer John 让牛寻找和等于给定数的不同数字集合。牛只用 2 的整数次幂。下面是和为 7 的可能集合：

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

帮助 FJ 计算给定整数 $N$（$1 \le N \le 1{,}000{,}000$）的全部表示方案数。

输入格式

一行一个整数 $N$。

输出格式

按上述方法将 $N$ 表示为和的方案数。结果可能很大，只输出十进制表示的最后 9 位。

样例

输入格式 1

输出格式 1

题目 1：求和方案

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