2018-09-30 22:01:58 +00:00
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---
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id: 5900f42b1000cf542c50ff3d
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challengeType: 5
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title: 'Problem 190: Maximising a weighted product'
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---
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## Description
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<section id='description'>
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Let Sm = (x1, x2, ... , xm) be the m-tuple of positive real numbers with x1 + x2 + ... + xm = m for which Pm = x1 * x22 * ... * xmm is maximised.
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For example, it can be verified that [P10] = 4112 ([ ] is the integer part function).
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Find Σ[Pm] for 2 ≤ m ≤ 15.
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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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2018-10-04 13:37:37 +00:00
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tests:
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- text: <code>euler190()</code> should return 371048281.
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2018-10-20 18:02:47 +00:00
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testString: assert.strictEqual(euler190(), 371048281, '<code>euler190()</code> should return 371048281.');
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2018-09-30 22:01:58 +00:00
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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 euler190() {
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// Good luck!
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return true;
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}
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euler190();
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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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