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freeCodeCamp/curriculum/challenges/english/10-coding-interview-prep/project-euler/problem-157-solving-the-diophantine-equation.md
Oliver Eyton-Williams ee1e8abd87 feat(curriculum): restore seed + solution to Chinese (#40683)
* 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>
2021-01-12 19:31:00 -07:00

972 B

id, title, challengeType, forumTopicId, dashedName
id title challengeType forumTopicId dashedName
5900f4091000cf542c50ff1c Problem 157: Solving the diophantine equation 5 301788 problem-157-solving-the-diophantine-equation

--description--

Consider the diophantine equation 1/a+1/b= p/10n with a, b, p, n positive integers and a ≤ b.

For n=1 this equation has 20 solutions that are listed below:

1/1+1/1=20/10

1/1+1/2=15/10

1/1+1/5=12/10

1/1+1/10=11/10

1/2+1/2=10/10

1/2+1/5=7/10

1/2+1/10=6/10

1/3+1/6=5/10

1/3+1/15=4/10

1/4+1/4=5/10

1/4+1/20=3/10

1/5+1/5=4/10

1/5+1/10=3/10

1/6+1/30=2/10

1/10+1/10=2/10

1/11+1/110=1/10

1/12+1/60=1/10

1/14+1/35=1/10

1/15+1/30=1/10

1/20+1/20=1/10

How many solutions has this equation for 1 ≤ n ≤ 9?

--hints--

euler157() should return 53490.

assert.strictEqual(euler157(), 53490);

--seed--

--seed-contents--

function euler157() {

  return true;
}

euler157();

--solutions--

// solution required