freeCodeCamp/curriculum/challenges/english/08-coding-interview-prep/project-euler/problem-215-crack-free-walls.english.md

id	challengeType	title	forumTopicId
5900f4431000cf542c50ff56	5	Problem 215: Crack-free Walls	301857

Description

Consider the problem of building a wall out of 2×1 and 3×1 bricks (horizontal×vertical dimensions) such that, for extra strength, the gaps between horizontally-adjacent bricks never line up in consecutive layers, i.e. never form a "running crack".

For example, the following 9×3 wall is not acceptable due to the running crack shown in red:

There are eight ways of forming a crack-free 9×3 wall, written W(9,3) = 8.

Calculate W(32,10).

Instructions

Tests

tests:
  - text: <code>euler215()</code> should return 806844323190414.
    testString: assert.strictEqual(euler215(), 806844323190414);

Challenge Seed

function euler215() {
  // Good luck!
  return true;
}

euler215();

Solution

// solution required