### Problem Statement

You are a professional robber planning to rob houses along a street. Each house has a certain amount of money stashed. All houses at this place are **arranged in a circle.** That means the first house is the neighbor of the last one. Meanwhile, adjacent houses have security system connected and **it will automatically contact the police if two adjacent houses were broken into on the same night**.

Given a list of non-negative integers representing the amount of money of each house, determine the maximum amount of money you can rob tonight **without alerting the police**.

**Example 1:**

Input:[2,3,2]Output:3Explanation:You cannot rob house 1 (money = 2) and then rob house 3 (money = 2), because they are adjacent houses.

**Example 2:**

Problem linkInput:[1,2,3,1]Output:4Explanation:Rob house 1 (money = 1) and then rob house 3 (money = 3). Total amount you can rob = 1 + 3 = 4.

### Video Tutorial

You can find the detailed video tutorial here### Thought Process

### Solutions

#### Use DP

Space Complexity: O(N) since we use extra arrays