Feat: add new Markdown parser (#39800)
and change all the challenges to new `md` format.
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@ -5,58 +5,61 @@ challengeType: 5
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forumTopicId: 302333
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---
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## Description
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# --description--
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<section id='description'>
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Compute the **n**<sup>th</sup> term of a [series](<https://en.wikipedia.org/wiki/Series (mathematics)>), i.e. the sum of the **n** first terms of the corresponding [sequence](https://en.wikipedia.org/wiki/sequence). Informally this value, or its limit when **n** tends to infinity, is also called the *sum of the series*, thus the title of this task. For this task, use: $S*n = \\sum*{k=1}^n \\frac{1}{k^2}$ and compute $S\_{1000}$ This approximates the [zeta function](<https://en.wikipedia.org/wiki/Riemann zeta function>) for S=2, whose exact value $\\zeta(2) = {\\pi^2\\over 6}$ is the solution of the [Basel problem](<https://en.wikipedia.org/wiki/Basel problem>).
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Compute the <b>n</b><sup>th</sup> term of a <a href="https://en.wikipedia.org/wiki/Series (mathematics)" target="_blank">series</a>, i.e. the sum of the <b>n</b> first terms of the corresponding <a href="https://en.wikipedia.org/wiki/sequence" target="_blank">sequence</a>.
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Informally this value, or its limit when <b>n</b> tends to infinity, is also called the <i>sum of the series</i>, thus the title of this task.
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For this task, use:
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<span style="margin-left: 2em;">$S_n = \sum_{k=1}^n \frac{1}{k^2}$</span>
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and compute $S_{1000}$
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This approximates the <a href="https://en.wikipedia.org/wiki/Riemann zeta function" target="_blank">zeta function</a> for S=2, whose exact value
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<span style="margin-left: 2em;">$\zeta(2) = {\pi^2\over 6}$</span>
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is the solution of the <a href="https://en.wikipedia.org/wiki/Basel problem" target="_blank">Basel problem</a>.
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</section>
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## Instructions
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<section id='instructions'>
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# --instructions--
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Write a function that take $a$ and $b$ as parameters and returns the sum of $a^{th}$ to $b^{th}$ members of the sequence.
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</section>
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# --hints--
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## Tests
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`sum` should be a function.
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<section id='tests'>
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```yml
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tests:
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- text: <code>sum</code> should be a function.
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testString: assert(typeof sum == 'function');
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- text: <code>sum(1, 100)</code> should return a number.
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testString: assert(typeof sum(1, 100) == 'number');
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- text: <code>sum(1, 100)</code> should return <code>1.6349839001848923</code>.
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testString: assert.equal(sum(1, 100), 1.6349839001848923);
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- text: <code>sum(33, 46)</code> should return <code>0.009262256361481223</code>.
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testString: assert.equal(sum(33, 46), 0.009262256361481223);
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- text: <code>sum(21, 213)</code> should return <code>0.044086990748706555</code>.
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testString: assert.equal(sum(21, 213), 0.044086990748706555);
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- text: <code>sum(11, 111)</code> should return <code>0.08619778593108679</code>.
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testString: assert.equal(sum(11, 111), 0.08619778593108679);
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- text: <code>sum(1, 10)</code> should return <code>1.5497677311665408</code>.
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testString: assert.equal(sum(1, 10), 1.5497677311665408);
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```js
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assert(typeof sum == 'function');
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```
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</section>
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`sum(1, 100)` should return a number.
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## Challenge Seed
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```js
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assert(typeof sum(1, 100) == 'number');
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```
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<section id='challengeSeed'>
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`sum(1, 100)` should return `1.6349839001848923`.
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<div id='js-seed'>
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```js
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assert.equal(sum(1, 100), 1.6349839001848923);
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```
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`sum(33, 46)` should return `0.009262256361481223`.
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```js
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assert.equal(sum(33, 46), 0.009262256361481223);
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```
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`sum(21, 213)` should return `0.044086990748706555`.
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```js
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assert.equal(sum(21, 213), 0.044086990748706555);
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```
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`sum(11, 111)` should return `0.08619778593108679`.
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```js
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assert.equal(sum(11, 111), 0.08619778593108679);
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```
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`sum(1, 10)` should return `1.5497677311665408`.
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```js
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assert.equal(sum(1, 10), 1.5497677311665408);
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```
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# --seed--
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## --seed-contents--
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```js
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function sum(a, b) {
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@ -64,12 +67,7 @@ function sum(a, b) {
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}
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```
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</div>
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</section>
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## Solution
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<section id='solution'>
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# --solutions--
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```js
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function sum(a, b) {
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@ -81,5 +79,3 @@ function sum(a, b) {
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return s;
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}
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```
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</section>
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