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# LeetCode Exercise 9

##### 120. Triangle120 Given a triangle, find the minimum path sum from top to bottom. Each step you may move to adjacent numbers on the row below.

For example, given the following triangle

```[
,
[3,4],
[6,5,7],
[4,1,8,3]
]
```

The minimum path sum from top to bottom is 11 (i.e., 2 + 3 + 5 + 1 = 11).

Note: Bonus point if you are able to do this using only O(n) extra space, where n is the total number of rows in the triangle.

You are to find a dynamic programming solution to this problem, and implement it on Leetcode.

###### Hints:

Turn in:

1. Source code for your solution
2. Samples runs showing the operation with input and outputs.
3. An explanation of how this problem includes the concept of an optimal substructure.
4. A complete runtime asymptotic analysis.
Be prepared to discuss you solutions in class.
Topic revision: r1 - 2016-11-11 - JimSkon    Copyright © 2008-2020 by the contributing authors. All material on this collaboration platform is the property of the contributing authors.
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