1.7 KiB
1.7 KiB
id | challengeType | title |
---|---|---|
5900f4691000cf542c50ff7b | 5 | Problem 252: Convex Holes |
Description
As an example, the image below shows a set of twenty points and a few such convex holes. The convex hole shown as a red heptagon has an area equal to 1049694.5 square units, which is the highest possible area for a convex hole on the given set of points.
For our example, we used the first 20 points (T2k−1, T2k), for k = 1,2,…,20, produced with the pseudo-random number generator:
S0 = 290797 Sn+1 = Sn2 mod 50515093 Tn = ( Sn mod 2000 ) − 1000
i.e. (527, 144), (−488, 732), (−454, −947), …
What is the maximum area for a convex hole on the set containing the first 500 points in the pseudo-random sequence? Specify your answer including one digit after the decimal point.
Instructions
Tests
tests:
- text: <code>euler252()</code> should return 104924.
testString: assert.strictEqual(euler252(), 104924, '<code>euler252()</code> should return 104924.');
Challenge Seed
function euler252() {
// Good luck!
return true;
}
euler252();
Solution
// solution required