820 B
820 B
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f5481000cf542c51005b | Problem 476: Circle Packing II | 5 | 302153 | problem-476-circle-packing-ii |
--description--
Let R(a, b, c) be the maximum area covered by three non-overlapping circles inside a triangle with edge lengths a, b and c.
Let S(n) be the average value of R(a, b, c) over all integer triplets (a, b, c) such that 1 ≤ a ≤ b ≤ c < a + b ≤ n
You are given S(2) = R(1, 1, 1) ≈ 0.31998, S(5) ≈ 1.25899.
Find S(1803) rounded to 5 decimal places behind the decimal point.
--hints--
euler476()
should return 110242.87794.
assert.strictEqual(euler476(), 110242.87794);
--seed--
--seed-contents--
function euler476() {
return true;
}
euler476();
--solutions--
// solution required