---
id: 5900f42b1000cf542c50ff3d
challengeType: 5
title: 'Problem 190: Maximising a weighted product'
---

## Description
<section id='description'>
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.

For example, it can be verified that [P10] = 4112 ([ ] is the integer part function).

Find Σ[Pm] for 2 ≤ m ≤ 15.
</section>

## Instructions
<section id='instructions'>

</section>

## Tests
<section id='tests'>

```yml
tests:
  - text: <code>euler190()</code> should return 371048281.
    testString: assert.strictEqual(euler190(), 371048281, '<code>euler190()</code> should return 371048281.');

```

</section>

## Challenge Seed
<section id='challengeSeed'>

<div id='js-seed'>

```js
function euler190() {
  // Good luck!
  return true;
}

euler190();
```

</div>



</section>

## Solution
<section id='solution'>

```js
// solution required
```
</section>