1.2 KiB
1.2 KiB
id | challengeType | title |
---|---|---|
5900f5001000cf542c510013 | 5 | Problem 403: Lattice points enclosed by parabola and line |
Description
L(a, b) is defined as the number of lattice points contained in D(a, b). For example, L(1, 2) = 8 and L(2, -1) = 1.
We also define S(N) as the sum of L(a, b) for all the pairs (a, b) such that the area of D(a, b) is a rational number and |a|,|b| ≤ N. We can verify that S(5) = 344 and S(100) = 26709528.
Find S(1012). Give your answer mod 108.
Instructions
Tests
tests:
- text: <code>euler403()</code> should return 18224771.
testString: assert.strictEqual(euler403(), 18224771, '<code>euler403()</code> should return 18224771.');
Challenge Seed
function euler403() {
// Good luck!
return true;
}
euler403();
Solution
// solution required