求和方案 - Problem

#22697. 求和方案

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Farmer John 讓牛尋找和等於給定數的不同數字集合。牛只用 2 的整數次方。以下是和為 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

幫 FJ 計算給定整數 $N$（$1 \le N \le 1{,}000{,}000$）的全部表示方案數。

輸入格式

一行一個整數 $N$。

輸出格式

以上述方式將 $N$ 表示為和的方案數。結果可能很大，只輸出十進位表示的最後 9 位。

範例

輸入格式 1

輸出格式 1

題目 1：求和方案

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