You are a professional robber planning to rob houses along a street. Each house has a certain amount of money stashed, the only constraint stopping you from robbing each of them is that adjacent houses have security systems connected and it will automatically contact the police if two adjacent houses were broken into on the same night.

Given an integer array nums representing the amount of money of each house, return the maximum amount of money you can rob tonight without alerting the police.

Explanation

We can use dynamic programming to solve this problem. We will create an auxiliary array dp which will store the largest money for each iteration. Eg for input : [2 , 1, 1, 2, 9]