feat: add houseRobber implementation (#1282)

Dynamic-Programming/Sliding-Window/HouseRobber.js

@@ -0,0 +1,23 @@
+/**
+ * @function houseRobber
+ * @description 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.
+ * @param {number[]} nums
+ * @return {number}
+ * @see [Leetcode link](https://leetcode.com/problems/house-robber/)
+ */
+export const houseRobber = (nums) => {
+  const length = nums.length
+
+  if (length === 0) return 0
+  if (length === 1) return nums[0]
+  if (length === 2) return Math.max(nums[0], nums[1])
+
+  const dp = Array(length) // last element of this array always contains biggest loot possible
+  dp[0] = nums[0]
+  dp[1] = Math.max(nums[0], nums[1])
+
+  for (let i = 2; i < length; i++) {
+    dp[i] = Math.max(nums[i] + dp[i - 2], dp[i - 1])
+  }
+  return dp[length - 1]
+}