--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 $W(32,10)$.

--hints--

crackFreeWalls() should return 806844323190414.

assert.strictEqual(crackFreeWalls(), 806844323190414);

--seed--

--seed-contents--

function crackFreeWalls() {

  return true;
}

crackFreeWalls();

--solutions--

// solution required