107 lines
3.2 KiB
Markdown
107 lines
3.2 KiB
Markdown
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---
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id: 5
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localeTitle: 5900f3781000cf542c50fe8b
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challengeType: 5
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title: 'Problem 12: Highly divisible triangular number'
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---
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## Description
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<section id='description'>
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La secuencia de los números de triángulos se genera al sumar los números naturales. Entonces, el número del séptimo triángulo sería 1 + 2 + 3 + 4 + 5 + 6 + 7 = 28. Los primeros diez términos serían:
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<div style='text-align: center;'> 1, 3, 6, 10, 15, 21, 28, 36, 45, 55, ... </div>
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Listemos los factores de los primeros siete números de triángulos:
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<div style='padding-left: 4em;'> <b>1:</b> 1 </div>
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<div style='padding-left: 4em;'> <b>3:</b> 1, 3 </div>
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<div style='padding-left: 4em;'> <b>6:</b> 1, 2, 3, 6 </div>
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<div style='padding-left: 4em;'> <b>10:</b> 1, 2, 5, 10 </div>
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<div style='padding-left: 4em;'> <b>15:</b> 1, 3, 5, 15 </div>
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<div style='padding-left: 4em;'> <b>21:</b> 1, 3, 7, 21 </div>
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<div style='padding-left: 4em;'> <b>28:</b> 1, 2, 4, 7, 14, 28 </div>
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Podemos ver que 28 es el primer número de triángulo que tiene más de cinco divisores.
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¿Cuál es el valor del primer número de triángulo que tiene más de <code>n</code> divisores?
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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>divisibleTriangleNumber(5)</code> debe devolver 28.
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testString: 'assert.strictEqual(divisibleTriangleNumber(5), 28, "<code>divisibleTriangleNumber(5)</code> should return 28.");'
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- text: <code>divisibleTriangleNumber(23)</code> debe devolver 630.
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testString: 'assert.strictEqual(divisibleTriangleNumber(23), 630, "<code>divisibleTriangleNumber(23)</code> should return 630.");'
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- text: <code>divisibleTriangleNumber(167)</code> debe devolver 1385280.
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testString: 'assert.strictEqual(divisibleTriangleNumber(167), 1385280, "<code>divisibleTriangleNumber(167)</code> should return 1385280.");'
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- text: <code>divisibleTriangleNumber(374)</code> debe devolver 17907120.
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testString: 'assert.strictEqual(divisibleTriangleNumber(374), 17907120, "<code>divisibleTriangleNumber(374)</code> should return 17907120.");'
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- text: <code>divisibleTriangleNumber(500)</code> debe devolver 76576500.
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testString: 'assert.strictEqual(divisibleTriangleNumber(500), 76576500, "<code>divisibleTriangleNumber(500)</code> should return 76576500.");'
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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 divisibleTriangleNumber(n) {
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// Good luck!
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return true;
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}
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divisibleTriangleNumber(500);
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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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function divisibleTriangleNumber(n) {
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let counter = 1;
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let triangleNumber = counter++;
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function getFactors(num) {
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let factors = [];
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let possibleFactor = 1;
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let sqrt = Math.sqrt(num);
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while (possibleFactor <= sqrt) {
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if (num % possibleFactor == 0) {
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factors.push(possibleFactor);
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var otherPossibleFactor = num / possibleFactor;
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if (otherPossibleFactor > possibleFactor) {
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factors.push(otherPossibleFactor);
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}
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}
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possibleFactor++;
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}
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return factors;
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}
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while (getFactors(triangleNumber).length < n) {
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triangleNumber += counter++;
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}
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console.log(triangleNumber)
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return triangleNumber;
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}
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```
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</section>
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