id	title	challengeType	forumTopicId	dashedName
5900f4f11000cf542c510002	Problem 388: Distinct Lines	5	302052	problem-388-distinct-lines

--description--

Consider all lattice points (a, b, c) with 0 ≤ a, b, c ≤ N.

From the origin O(0, 0, 0) all lines are drawn to the other lattice points. Let D(N) be the number of distinct such lines.

You are given that D(1\\,000\\,000) = 831\\,909\\,254\\,469\\,114\\,121.

Find D({10}^{10}). Give as your answer the first nine digits followed by the last nine digits.

--hints--

distinctLines() should return 831907372805130000.

assert.strictEqual(distinctLines(), 831907372805130000);

function distinctLines() {

  return true;
}

distinctLines();

// solution required