freeCodeCamp/problem-383-divisibility-comparison-between-factorials.english.md at ef79ddd0de35a4e10b8b4588e67938f86d2bae10

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mrugesh 22afc2a0ca feat(learn): python certification projects (#38216 )

Co-authored-by: Oliver Eyton-Williams <ojeytonwilliams@gmail.com>
Co-authored-by: Kristofer Koishigawa <scissorsneedfoodtoo@gmail.com>
Co-authored-by: Beau Carnes <beaucarnes@gmail.com>

2020-05-27 13:19:08 +05:30

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id, challengeType, isHidden, title, forumTopicId

id	challengeType	isHidden	title	forumTopicId
5900f4ed1000cf542c50ffff	5	false	Problem 383: Divisibility comparison between factorials	302047

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).

Instructions

Tests

tests:
  - text: <code>euler383()</code> should return 22173624649806.
    testString: assert.strictEqual(euler383(), 22173624649806);

Challenge Seed

function euler383() {
  // Good luck!
  return true;
}

euler383();

Solution

// solution required

974 B Raw Blame History