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id	title	challengeType	forumTopicId	dashedName
5900f4cf1000cf542c50ffe1	Problem 354: Distances in a bee's honeycomb	5	302014	problem-354-distances-in-a-bees-honeycomb

--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

974 B Raw Blame History