877 B
877 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--
circlePackingTwo()
should return 110242.87794
.
assert.strictEqual(circlePackingTwo(), 110242.87794);
--seed--
--seed-contents--
function circlePackingTwo() {
return true;
}
circlePackingTwo();
--solutions--
// solution required