69 lines
1.4 KiB
Markdown
69 lines
1.4 KiB
Markdown
---
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id: 5900f4381000cf542c50ff4a
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challengeType: 5
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title: 'Problem 203: Squarefree Binomial Coefficients'
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---
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## Description
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<section id='description'>
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The binomial coefficients nCk can be arranged in triangular form, Pascal's triangle, like this:
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111121133114641151010511615201561172135352171
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.........
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It can be seen that the first eight rows of Pascal's triangle contain twelve distinct numbers: 1, 2, 3, 4, 5, 6, 7, 10, 15, 20, 21 and 35.
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A positive integer n is called squarefree if no square of a prime divides n.
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Of the twelve distinct numbers in the first eight rows of Pascal's triangle, all except 4 and 20 are squarefree.
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The sum of the distinct squarefree numbers in the first eight rows is 105.
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Find the sum of the distinct squarefree numbers in the first 51 rows of Pascal's triangle.
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</section>
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## Instructions
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<section id='instructions'>
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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>euler203()</code> should return 34029210557338.
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testString: 'assert.strictEqual(euler203(), 34029210557338, ''<code>euler203()</code> should return 34029210557338.'');'
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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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```js
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function euler203() {
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// Good luck!
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return true;
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}
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euler203();
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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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```js
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// solution required
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```
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</section>
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