New DP Algo added

Author: megha-66

dynamic_programming/house_robber.py

@@ -0,0 +1,38 @@
+"""
+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, we have to
+return the maximum amount of money you can rob tonight without alerting the police.
+
+Source : https://leetcode.com/problems/house-robber?envType=problem-list-v2&envId=dynamic-programming
+
+
+Example
+
+>>> rob([1,2,3,1])
+4
+
+"""
+
+
+
+def rob(nums:list[int]) -> int:
+    n = len(nums)
+    if n < 3 :
+        return max(nums)
+    dp = [0]*n
+    dp[0] = nums[0]
+    dp[1] = max(nums[0], nums[1])
+    for i in range(2,n):
+        dp[i] = max(nums[i]+dp[i-2], dp[i-1])
+    return max(dp)
+
+
+if __name__ == "__main__":
+    import doctest
+    doctest.testmod()