920 B
920 B
id | title | challengeType | forumTopicId |
---|---|---|---|
5900f4cf1000cf542c50ffe1 | Problem 354: Distances in a bee's honeycomb | 5 | 302014 |
--description--
Consider a honey bee's honeycomb where each cell is a perfect regular hexagon with side length 1.
One particular cell is occupied by the queen bee. For a positive real number L, let B(L) count the cells with distance L from the queen bee cell (all distances are measured from centre to centre); you may assume that the honeycomb is large enough to accommodate for any distance we wish to consider. For example, B(√3) = 6, B(√21) = 12 and B(111 111 111) = 54.
Find the number of L ≤ 5·1011 such that B(L) = 450.
--hints--
euler354()
should return 58065134.
assert.strictEqual(euler354(), 58065134);
--seed--
--seed-contents--
function euler354() {
return true;
}
euler354();
--solutions--
// solution required