Feat: add new Markdown parser (#39800)
and change all the challenges to new `md` format.
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---
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title: Gamma function
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id: 5a23c84252665b21eecc7e76
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title: Gamma function
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challengeType: 5
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forumTopicId: 302271
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---
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## Description
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<section id='description'>
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Implement one algorithm (or more) to compute the <a href="https://en.wikipedia.org/wiki/Gamma function">Gamma</a> ($\Gamma$) function (in the real field only).
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# --description--
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Implement one algorithm (or more) to compute the [Gamma](<https://en.wikipedia.org/wiki/Gamma function>) ($\\Gamma$) function (in the real field only).
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The Gamma function can be defined as:
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<div style='padding-left: 4em;'><big><big>$\Gamma(x) = \displaystyle\int_0^\infty t^{x-1}e^{-t} dt$</big></big></div>
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</section>
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## Instructions
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<section id='instructions'>
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# --hints--
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</section>
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## Tests
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<section id='tests'>
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```yml
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tests:
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- text: <code>gamma</code> should be a function.
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testString: assert(typeof gamma=='function')
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- text: <code>gamma(.1)</code> should return a number.
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testString: assert(typeof gamma(.1)=='number')
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- text: <code>gamma(.1)</code> should return <code>9.513507698668736</code>.
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testString: assert.equal(round(gamma(.1)), round(9.513507698668736))
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- text: <code>gamma(.2)</code> should return <code>4.590843711998803</code>.
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testString: assert.equal(round(gamma(.2)), round(4.590843711998803))
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- text: <code>gamma(.3)</code> should return <code>2.9915689876875904</code>.
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testString: assert.equal(round(gamma(.3)), round(2.9915689876875904))
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- text: <code>gamma(.4)</code> should return <code>2.218159543757687</code>.
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testString: assert.equal(round(gamma(.4)), round(2.218159543757687))
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- text: <code>gamma(.5)</code> should return <code>1.7724538509055159</code>.
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testString: assert.equal(round(gamma(.5)), round(1.7724538509055159))
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```
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</section>
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## Challenge Seed
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<section id='challengeSeed'>
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<div id='js-seed'>
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`gamma` should be a function.
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```js
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function gamma(x) {
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}
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assert(typeof gamma == 'function');
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```
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</div>
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`gamma(.1)` should return a number.
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### After Test
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<div id='js-teardown'>
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```js
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assert(typeof gamma(0.1) == 'number');
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```
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`gamma(.1)` should return `9.513507698668736`.
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```js
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assert.equal(round(gamma(0.1)), round(9.513507698668736));
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```
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`gamma(.2)` should return `4.590843711998803`.
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```js
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assert.equal(round(gamma(0.2)), round(4.590843711998803));
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```
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`gamma(.3)` should return `2.9915689876875904`.
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```js
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assert.equal(round(gamma(0.3)), round(2.9915689876875904));
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```
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`gamma(.4)` should return `2.218159543757687`.
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```js
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assert.equal(round(gamma(0.4)), round(2.218159543757687));
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```
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`gamma(.5)` should return `1.7724538509055159`.
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```js
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assert.equal(round(gamma(0.5)), round(1.7724538509055159));
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```
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# --seed--
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## --after-user-code--
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```js
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function round(x) {
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@ -63,13 +67,15 @@ function round(x) {
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}
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```
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</div>
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## --seed-contents--
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</section>
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```js
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function gamma(x) {
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## Solution
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<section id='solution'>
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}
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```
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# --solutions--
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```js
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function gamma(x) {
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@ -94,7 +100,4 @@ function gamma(x) {
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return result;
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}
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```
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</section>
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