freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-169-exploring-the-number-of-different-ways-a-number-can-be-expressed-as-a-sum-of-powers-of-2.md

id, title, challengeType, forumTopicId, dashedName

id	title	challengeType	forumTopicId	dashedName
5900f4151000cf542c50ff28	Problem 169: Exploring the number of different ways a number can be expressed as a sum of powers of 2	5	301803	problem-169-exploring-the-number-of-different-ways-a-number-can-be-expressed-as-a-sum-of-powers-of-2

--description--

Define f(0)=1 and f(n) to be the number of different ways n can be expressed as a sum of integer powers of 2 using each power no more than twice.

For example, f(10)=5 since there are five different ways to express 10:

$$\begin{align} & 1 + 1 + 8 \\ & 1 + 1 + 4 + 4 \\ & 1 + 1 + 2 + 2 + 4 \\ & 2 + 4 + 4 \\ & 2 + 8 \end{align}$$

What is f({10}^{25})?

--hints--

numberOfWaysToExpress() should return 178653872807.

assert.strictEqual(numberOfWaysToExpress(), 178653872807);

--seed--

--seed-contents--

function numberOfWaysToExpress() {

  return true;
}

numberOfWaysToExpress();

--solutions--

// solution required