1.2 KiB
1.2 KiB
id | challengeType | title |
---|---|---|
5900f5071000cf542c510018 | 5 | Problem 410: Circle and tangent line |
Description
For example, the quadruplet (r, a, b, c) = (2, 6, 2, -7) satisfies this property.
Let F(R, X) be the number of the integer quadruplets (r, a, b, c) with this property, and with 0 < r ≤ R and 0 < a ≤ X.
We can verify that F(1, 5) = 10, F(2, 10) = 52 and F(10, 100) = 3384. Find F(108, 109) + F(109, 108).
Instructions
Tests
tests:
- text: <code>euler410()</code> should return 799999783589946600.
testString: assert.strictEqual(euler410(), 799999783589946600, '<code>euler410()</code> should return 799999783589946600.');
Challenge Seed
function euler410() {
// Good luck!
return true;
}
euler410();
Solution
// solution required