freeCodeCamp/curriculum/challenges/english/08-coding-interview-prep/project-euler/problem-82-path-sum-three-w...

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---
id: 5900f3be1000cf542c50fed1
challengeType: 5
title: 'Problem 82: Path sum: three ways'
forumTopicId: 302196
---
## Description
<section id='description'>
NOTE: This problem is a more challenging version of Problem 81.
The minimal path sum in the 5 by 5 matrix below, by starting in any cell in the left column and finishing in any cell in the right column, and only moving up, down, and right, is indicated in red and bold; the sum is equal to 994.
$$
\begin{pmatrix}
131 & 673 & \color{red}{234} & \color{red}{103} & \color{red}{18}\\
\color{red}{201} & \color{red}{96} & \color{red}{342} & 965 & 150\\
630 & 803 & 746 & 422 & 111\\
537 & 699 & 497 & 121 & 956\\
805 & 732 & 524 & 37 & 331
\end{pmatrix}
$$
Find the minimal path sum, in matrix.txt (right click and "Save Link/Target As..."), a 31K text file containing a 80 by 80 matrix, from the left column to the right column.
</section>
## Instructions
<section id='instructions'>
</section>
## Tests
<section id='tests'>
```yml
tests:
- text: <code>euler82()</code> should return 260324.
testString: assert.strictEqual(euler82(), 260324);
```
</section>
## Challenge Seed
<section id='challengeSeed'>
<div id='js-seed'>
```js
function euler82() {
// Good luck!
return true;
}
euler82();
```
</div>
</section>
## Solution
<section id='solution'>
```js
// solution required
```
</section>