1.5 KiB
1.5 KiB
id | challengeType | title | forumTopicId |
---|---|---|---|
5900f4231000cf542c50ff36 | 5 | Problem 183: Maximum product of parts | 301819 |
Description
For example, if 11 is split into five equal parts, 11 = 2.2 + 2.2 + 2.2 + 2.2 + 2.2, then P = 2.25 = 51.53632.
Let M(N) = Pmax for a given value of N.
It turns out that the maximum for N = 11 is found by splitting eleven into four equal parts which leads to Pmax = (11/4)4; that is, M(11) = 14641/256 = 57.19140625, which is a terminating decimal.
However, for N = 8 the maximum is achieved by splitting it into three equal parts, so M(8) = 512/27, which is a non-terminating decimal.
Let D(N) = N if M(N) is a non-terminating decimal and D(N) = -N if M(N) is a terminating decimal.
For example, ΣD(N) for 5 ≤ N ≤ 100 is 2438.
Find ΣD(N) for 5 ≤ N ≤ 10000.
Instructions
Tests
tests:
- text: <code>euler183()</code> should return 48861552.
testString: assert.strictEqual(euler183(), 48861552);
Challenge Seed
function euler183() {
return true;
}
euler183();
Solution
// solution required