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- Project Euler #169: Exploring the number of different ways a number can be expressed as a sum of powers of 2.

# Project Euler #169: Exploring the number of different ways a number can be expressed as a sum of powers of 2.

# Project Euler #169: Exploring the number of different ways a number can be expressed as a sum of powers of 2.

_{This problem is a programming version of Problem 169 from projecteuler.net}

Define and to be the number of different ways can be expressed as a sum of integer powers of 2 using each power no more than twice.

For example, since there are five different ways to express :

What is for a given ?

**Input Format**

One integer is given on first line representing .

**Constraints**

**Output Format**

Print one integer which is the answer to the problem.

**Sample Input 0**

```
10
```

**Sample Output 0**

```
5
```