---
id: 5900f3b01000cf542c50fec2
title: 'Problem 67: Maximum path sum II'
challengeType: 5
forumTopicId: 302179
dashedName: problem-67-maximum-path-sum-ii
---
# --description--
By starting at the top of the triangle below and moving to adjacent numbers on the row below, the maximum total from top to bottom is 23.
3
7 4
2 4 6
8 5 9 3
That is, 3 + 7 + 4 + 9 = 23.
Find the maximum total from top to bottom in `numTriangle`, a 2D array defined in the background containing a triangle with one-hundred rows.
**Note:** This is a much more difficult version of Problem 18. It is not possible to try every route to solve this problem, as there are 299 altogether! If you could check one trillion (1012) routes every second it would take over twenty billion years to check them all. There is an efficient algorithm to solve it. ;o)
# --hints--
`maximumPathSumII(testTriangle)` should return a number.
```js
assert(typeof maximumPathSumII(testTriangle) === 'number');
```
`maximumPathSumII(testTriangle)` should return 23.
```js
assert.strictEqual(maximumPathSumII(testTriangle), 23);
```
`maximumPathSumII(numTriangle)` should return 7273.
```js
assert.strictEqual(maximumPathSumII(numTriangle), 7273);
```
# --seed--
## --before-user-code--
```js
const numTriangle = 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```
## --seed-contents--
```js
function maximumPathSumII(triangle) {
return true;
}
const testTriangle = [[3, 0, 0, 0],
[7, 4, 0, 0],
[2, 4, 6, 0],
[8, 5, 9, 3]];
maximumPathSumII(testTriangle);
```
# --solutions--
```js
// solution required
```