ee1e8abd87
* feat(tools): add seed/solution restore script * chore(curriculum): remove empty sections' markers * chore(curriculum): add seed + solution to Chinese * chore: remove old formatter * fix: update getChallenges parse translated challenges separately, without reference to the source * chore(curriculum): add dashedName to English * chore(curriculum): add dashedName to Chinese * refactor: remove unused challenge property 'name' * fix: relax dashedName requirement * fix: stray tag Remove stray `pre` tag from challenge file. Signed-off-by: nhcarrigan <nhcarrigan@gmail.com> Co-authored-by: nhcarrigan <nhcarrigan@gmail.com>
931 B
931 B
id, title, challengeType, forumTopicId, dashedName
| id | title | challengeType | forumTopicId | dashedName |
|---|---|---|---|---|
| 5900f4c41000cf542c50ffd6 | Problem 343: Fractional Sequences | 5 | 302002 | problem-343-fractional-sequences |
--description--
For any positive integer k, a finite sequence ai of fractions xi/yi is defined by:
a1 = 1/k and
ai = (xi-1+1)/(yi-1-1) reduced to lowest terms for i>1.
When ai reaches some integer n, the sequence stops. (That is, when yi=1.)
Define f(k) = n.
For example, for k = 20:
1/20 → 2/19 → 3/18 = 1/6 → 2/5 → 3/4 → 4/3 → 5/2 → 6/1 = 6
So f(20) = 6.
Also f(1) = 1, f(2) = 2, f(3) = 1 and Σf(k3) = 118937 for 1 ≤ k ≤ 100.
Find Σf(k3) for 1 ≤ k ≤ 2×106.
--hints--
euler343() should return 269533451410884200.
assert.strictEqual(euler343(), 269533451410884200);
--seed--
--seed-contents--
function euler343() {
return true;
}
euler343();
--solutions--
// solution required