1.1 KiB
1.1 KiB
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f4431000cf542c50ff56 | Problem 215: Crack-free Walls | 5 | 301857 | problem-215-crack-free-walls |
--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