1.2 KiB
1.2 KiB
id | challengeType | title | forumTopicId |
---|---|---|---|
5900f4cf1000cf542c50ffe1 | 5 | Problem 354: Distances in a bee's honeycomb | 302014 |
Description
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.
Instructions
Tests
tests:
- text: <code>euler354()</code> should return 58065134.
testString: assert.strictEqual(euler354(), 58065134);
Challenge Seed
function euler354() {
// Good luck!
return true;
}
euler354();
Solution
// solution required