1.5 KiB
1.5 KiB
id | challengeType | title |
---|---|---|
5900f48a1000cf542c50ff9c | 5 | Problem 285: Pythagorean odds |
Description
For example, if k = 6, a = 0.2 and b = 0.85, then (k·a+1)2 + (k·b+1)2 = 42.05. The square root of 42.05 is 6.484... and when rounded to the nearest integer, it becomes 6. This is equal to k, so he scores 6 points.
It can be shown that if he plays 10 turns with k = 1, k = 2, ..., k = 10, the expected value of his total score, rounded to five decimal places, is 10.20914.
If he plays 105 turns with k = 1, k = 2, k = 3, ..., k = 105, what is the expected value of his total score, rounded to five decimal places?
Instructions
Tests
tests:
- text: <code>euler285()</code> should return 157055.80999.
testString: 'assert.strictEqual(euler285(), 157055.80999, "<code>euler285()</code> should return 157055.80999.");'
Challenge Seed
function euler285() {
// Good luck!
return true;
}
euler285();
Solution
// solution required