* 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>
756 B
756 B
id, title, challengeType, forumTopicId, dashedName
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f4ed1000cf542c50ffff | Problem 383: Divisibility comparison between factorials | 5 | 302047 | problem-383-divisibility-comparison-between-factorials |
--description--
Let f5(n) be the largest integer x for which 5x divides n.
For example, f5(625000) = 7.
Let T5(n) be the number of integers i which satisfy f5((2·i-1)!) < 2·f5(i!) and 1 ≤ i ≤ n. It can be verified that T5(103) = 68 and T5(109) = 2408210.
Find T5(1018).
--hints--
euler383()
should return 22173624649806.
assert.strictEqual(euler383(), 22173624649806);
--seed--
--seed-contents--
function euler383() {
return true;
}
euler383();
--solutions--
// solution required