freeCodeCamp/curriculum/challenges/english/08-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.english.md

id, challengeType, title, forumTopicId

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

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: 1 + 1 + 8 1 + 1 + 4 + 41 + 1 + 2 + 2 + 4 2 + 4 + 4 2 + 8 What is f(1025)?

Instructions

Tests

tests:
  - text: <code>euler169()</code> should return 178653872807.
    testString: assert.strictEqual(euler169(), 178653872807);

Challenge Seed

function euler169() {
  // Good luck!
  return true;
}

euler169();

Solution

// solution required