House robber algorithm The algorithm takes exponential time with respect to the input. 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. 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 In-depth solution and explanation for LeetCode 198. Explanation: # The provided code is a Python implementation of the “House Robber” problem using a dynamic programming approach. Oct 19, 2024 · Consider the House Robber problem: You are a professional robber planning to rob houses along a street. g. Each house is known to contain some amoun Explained House Robber problem on whiteboard with many different kinds of example. Can you solve this real interview question? House Robber IV - There are several consecutive houses along a street, each of which has some money inside. Each house has a certain amount of money stashed, the only constraint stoppin Can you solve this real interview question? House Robber - You are a professional robber planning to rob houses along a street. Description You are a professional robber planning to rob houses along a street. Oct 22, 2022 · A solution to the dynamic programming problem "House Robber", and how it fits into the Leetcode study plan for dynamic programming house robber algorithm - CodePen You are a professional robber planning to rob houses along a street. Can you solve this real interview question? House Robber - 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 Mar 19, 2025 · The House Robber problem is a classic dynamic programming problem that teaches optimal substructure. The challenge involves a scenario where a robber aims to maximize the loot from a series of houses lined up in a street. Image by generated OpenArt In this blog post, I will walk through my process of understanding, breaking down and solving a problem using a dynamic programming approach, using House Robber problem as an example. Let’s code our brute force solution recursively: May 16, 2021 · Introduction The House Robber problem introduces a pretty canonical dynamic programming approach so it’s a good starting point to getting comfortable with DP. There is only Tagged with algorithms, javascript. I also made my own conclusions about data structure in this repository, all files will be synchronized on my github. The array is circular. LeetCode 198. The robber cannot rob adjacent houses because they have security Oct 31, 2021 · How can we solve the famous House Robber problem if we add the new constrain: The robber can rob at most k houses in total? Problem Description: You are a professional robber planning to rob houses Sep 17, 2016 · I was trying House Robber problem (dp problem) on leet code. House Robber in Python, Java, C++ and more. Solution algorithm can be easily found where it returns the maximum robbed values. House Robber II, Programmer Sought, the best programmer technical posts sharing site. Given a list of non-negative integers Dec 23, 2022 · House Robber | Algorithm | Explanation on WhiteBoard | Leetcode #198 • House Robber | Algorithm | Explanatio Apr 22, 2019 · I have solved LeetCode's "House Robber" problem, but I'm unable to print the path. 6K You are a professional robber planning to rob houses along a street. The task is to find the maximum amount of money which can be stolen. Sep 12, 2024 · Classical DP problem house robber. Intuitions, example walk through, and complexity analysis. io/Code solutions in Python, Java, C++ and JS for this can be found at my GitHub repo here: h Apr 12, 2024 · Data Structures and Algorithms Statement A thief has discovered a new neighborhood to target, where houses are represented as nodes in a binary tree. Maximum Sum of Non-Adjacent Elements | House Robber | 1-D | DP on Subsequences take U forward 912K subscribers Subscribe In-depth solution and explanation for LeetCode 2560. However we can make this faster by using some space and storing intermediate results. Every house has a number printed on the top of it. Dynamic Programming Table: Use a 1D array dp [] to store the results of subproblems. The money in a house is the data of the This is a similar question to A variant of the house robber problem but instead of the general case, I'm wondering how you would solve the standard house robber problem, but when you cannot rob from houses on both the left and the right at the same time. Today I solve and explain a medium level difficulty leetcode algorithm using Python3 called "198. There is only one entrance to this area, called root. House Robber II in Python, Java, C++ and more. Algorithms quiz on house robber. Ex: #290 #337 Leetcode House Robber III Solution in C, C++, Java, JavaScript, Python, C# Leetcode Intermediate Ex: #291 #338 Leetcode Counting Bits Solution in C, C++, Java, JavaScript, Python, C# Leetcode Beginner Ex: #292 #341 Leetcode Flatten Nested List Iterator Solution in C, C++, Java, JavaScript, Python, C# Leetcode Intermediate In this video, I'll talk about how to solve Leetcode 198. So the DP iterating formular is: You are a professional robber planning to rob houses along a street. gitbook. In-depth solution and explanation for LeetCode 337. You are a professional robber planning to rob houses along a street. Crafting these aids required considerable effort, and I kindly request attribution if this content is reused elsewhere. Aug 19, 2022 · Problem: A robber goes to rob in a series of houses built next to each other forming a circle. . Jun 15, 2016 · 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 LeetCode - House Robber Problem statement You are a professional robber planning to rob houses along a street. Number Of Island House Robber 2 (LeetCode 213) | Full solution with easy explanation | Diagrams | Study Algorithms Dynamic Programming easy to understand real life examples | Study Algorithms Apr 24, 2024 · A robber plans to rob houses along a street. Apr 19, 2023 · If we implemented our algorithm to skip right past the next house and continue with the decision tree, we would have also hit out of bounds. To solve this problem, what we are 5: R-eview Review the code by running specific example (s) and recording values (watchlist) of your code's variables along the way. io/algo-en/i. From Recursion to memoization, tabulation and space optimization Discover how to solve the House Robber I problem using dynamic programming. Let f ( i ) = largest amount that you can rob from the first i houses a i = amount of money at the i t h house For n = 1 , f ( 1 ) = a 1 ; For n = 2 , f ( 2 ) = M a x ( a 1 , a 2 ) ; For n = 3 , you have two options: rob the third house, and add this to the first house do not rob the third house, and stick to the largest amount you of the first two hourse f ( 3 Aug 22, 2024 · The recursive relation is: For the first house, the maximum stolen value is simply the value of that house: dp [0] = house [0]. Jul 29, 2025 · You are a professional robber planning to rob houses along a street. For the second house, the maximum stolen value is the maximum between the first and second house: dp [1] = max (house [0], house [1]). Given an integer array nums representing the amount of Mar 19, 2025 · The House Robber problem is a classic dynamic programming problem that teaches optimal substructure. 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 system connected and it will automatically contact the police if two adjacent houses Algorithm visualization of LeetCode 213. You are given an integer array nums representing how much money is stashed in each house. Toggle Example Approach (Brute Force) Algorithm Implementation of algorithm to solve House May 10, 2024 · The House Robber problem from LeetCode offers an excellent illustration of how dynamic programming can be applied to optimize solutions. Nov 24, 2024 · The House Robber problem is a classic example of a dynamic programming challenge that is commonly featured in coding interviews. That number is the All diagrams presented herein are original creations, meticulously designed to enhance comprehension and recall. The capability of the robber is the maximum amount of money he steals from one house of all the houses he robbed. Each house has a certain amount of money stashed, the only constraint stopping you from robbing each of them is that houses have security systems connected and it will automatically contact the police if two adjacent houses were broken into on the same night. House Robber IV in Python, Java, C++ and more. May 25, 2020 · House Robber III It will automatically contact the police if two directly-linked houses were broken into on the same night. I’ll probably write an introductory article eventually about DP, but this post will asssume some basic understanding. Dynamic programming problems are very common in technical interviews for giant tech companies, such as Google, Amazon, Facebook, Microsoft, and many others. Each house is known to contain some amount of valuables totaling v_ij. If the ith element is added to the result, then (i + 1) th and (i – 1) th element must be excluded. DP is a notoriously tricky problem-solving approach, but Grehov’s method has helped clear things up considerably. Time Complexity: O (N) since we have House Robber You are a professional robber planning to rob houses along a street. The houses are arranged in a circle, so the first and last houses are neighbors. Contribute to RodneyShag/LeetCode_solutions development by creating an account on GitHub. Learn how to determine the maximum amount of money you can rob from a series of houses with 🐮 Support the channel on Patreon: / algorithmspractice 🥷 Looking for 1:1 coaching to prepare for a coding interview, for help with a coding problem or an algorithm subject? The road to algorithm learning: house robbery, Programmer Sought, the best programmer technical posts sharing site. So we can use the same algorithm, with 1 trick, that is to run the algorithm once over nums nums from 0 0 to n - 1 n− 1 and once from 1 1 to n n, and taking the max of those too passes. Function buttons are provided in the bottom right. In this post, I present a LeetCode - return the maximum amount of money you can rob when houses in this place form a binary tree using C++, Golang, and Javascript. Dec 29, 2019 · Since it is being assigned to memo[i+1], the choice between memo[i] and memo[i-1] + val can be thought of as either the best up to the (i-1) th house (so without robbing the i th), or, if we were to rob it, then we have to skip a house so let's add that robbery to the best up to the (i-2) th house. House Robber"Question: https://leetcode. House Robber Leetcode Solution - There are houses in a street and a man has to rob them by the rule that he can't go into two adjacent houses Mar 17, 2025 · The problem You are a professional robber planning to rob houses along a street. I have a question understanding subproblem in dynamic programming. for our problem, we know that in the absence of houses, the robber will make 0 profit. May 20, 2024 · House Robber I One of the main way to get dynamic programming solved is to split the problem into smaller problems and then find solutions to the smaller problem. It will automatically contact the police if two directly-linked houses were broken into on the same night. House Robber (Leetcode 198) - Best DP Solution Explained! 🏡🔥In this video, we break down the House Robber problem step by step and show you the best Dynami The robber can’t rob any two consecutive houses. It’s part of a class Solution and includes a method rob that takes a list of integers nums as input and returns the maximum amount of money that can be robbed without alerting the police. House Robber II. 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 Learn how to solve the classic House Robber problem using both bottom-up and top-down dynamic programming. Each house has a certain amount of money stashed. Given an integer array nums representing the amount of money of House Robber Problem states that, in a neighborhood in a city, there is a single row of n houses. Algorithm: Family Robbery 213. Each house has a certain amount of money stashed, the only constr Aug 18, 2024 · The House Robber problem is an excellent example of how dynamic programming can be used to optimize recursive solutions. Trace through your code with an input to check for the expected output Catch possible edge cases and off-by-one errors 6: E-valuate Evaluate the performance of your algorithm and state any strong/weak or future potential work. So the first house and last house are next to each other. A thief is planning to carry a heist in this neighborhood. Meanwhile, adjacent houses have a security system connected, and it will automatically contact the police if two adjacent houses are broken into on the The 2D House Robber Problem is : Given a City laid out on a grid, there are R rows of houses and C columns of houses. There is only one entrance to this area, called the "root. Introduction This blog post tackles the "House Robber" problem, a classic example of dynamic programming. Each house has a Nov 24, 2024 · The House Robber II problem (Leetcode 213) presents a variation of the classic House Robber problem, which challenges us to find the maximum amount of money we can rob from houses arranged in a circular neighborhood. This problem can be solved by using DP method. Given an integer 203 efficient solutions to LeetCode problems. Given an integer array nums representing the amount of Oct 12, 2019 · You are a professional robber planning to rob houses along a street. This solution from one of the user GYX looks simple and elegant. " Besides the root, each house has one and only one parent house. Luckily the algorithm we use here is more akin to a greedy solution and it's quite intuitive so no confusing DP needed 😁 TIMESTAMPS 00:00 Intro 00:16 Question Prompt 00:48 Basic Example 02:05 Can you solve this real interview question? House Robber III - The thief has found himself a new place for his thievery again. The robber cannot steal from consecutive hou… Jul 28, 2024 · 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. At index i, the maximum rob earning value comes from i - 2 and i - 3. That is, we can’t include two consecutive elements in our sum. JAVA algorithm: House Robber I&amp;II&amp;III JAVA version problem solving, Programmer Sought, the best programmer technical posts sharing site. This is a series problems: House Robber and House Robber II. Aug 18, 2024 · The House Robber problem is an excellent example of how dynamic programming can be used to optimize recursive solutions. Apr 15, 2019 · A graphical introduction to dynamic programming Apr 15, 2019 • Avik Das I’ve been helping a friend understand dynamic programming (DP for short), so I’ve been on the lookout for good resources. You are given an Dec 4, 2020 · 1. For example: Problem statement is as follows You are a professional robber planning to rob houses along a street. Problem Statement Apr 21, 2024 · In this article, we are going to see how to solve the house robber problem which is a famous dynamic problem to start with? This has been also featured in Amazon interview rounds. To further cement the process, I’ve been trying to solve other DP problems that he doesn’t cover in his course. House Robbery JavaScript Algorithm, Programmer Sought, the best programmer technical posts sharing site. 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 system connected and it will automatically contact the police if two adjacent houses were broken into on the same night. Apr 15, 2015 · Using the Dynamic Programming Algorithm, the Depth First Search or Breadth First Search to Solve House Robber Problem (Largest Sum of Non-Adjacent Numbers) You are a professional robber planning to rob houses along a street. Here you may find the actual description of the problem. The description reads:"You are a professional robber planning to rob houses along a street. House Robber This is a series problems: House Robber and House Robber II. In this blog, we'll walk through a brute force solution, provide hints, and present an efficient dynamic programming Jul 25, 2021 · This is a question regarding the memoization approach on leetcode's problem House Robber. A comprehensive Platform for Coding, Algorithms, Data Structures, Low Level Design, System Design Nov 1, 2016 · 337 - House Robber III Posted on November 1, 2016 · 6 minute read Jan 2, 2022 · You are a professional robber planning to rob houses along a street. Similarly, if there is just one house left to rob, the robber will rob that house, and that will be the maximum profit. We walk through intuitive examples, break down the House Robber Solution Summary: Below is a breakdown of the key aspects of the provided solution for the house robber problem seen above: Dynamic Programming Array Initialization: The algorithm initializes an array maxLoot of length equal to the number of houses. int rob (vector<int>& num) { int n = num. Since the first and last houses are adjacent, this creates a unique constraint that prevents robbing both the first and the last house. House Robber III in Python, Java, C++ and more. Given a list of non-negative integers Jul 27, 2023 · Image by Mohamed Hassan from Pixabay LeetCode’s House Robber problem is classified as a dynamic programming problem with an easy-medium level of difficulty. - Algorithm-and-Leetcode/leetcode/198. Consider using an array and using the former two elements to calculate the current element like in the following algorithm. More detailed user guide here. It requires you to maximize your earnings from robbing houses while adhering to specific constraints that prevent robbing two adjacent houses. md at master · Seanforfun/Algorithm-and-Leetcode May 2, 2021 · Description: The thief has found himself a new place for his thievery again. Each house has a certain amount of treasure stashed, the only constraint stopping you from robbing every one of them is that adjacent houses have security system connected and it will automatically contact the police if two adjacent houses were broken into on the same night. There is also a robber, who wants to steal money from the homes, but he refuses to steal from adjacent homes. Houses numbered below i - 3 has no effect on i as each of them can either jumps to i - 2 or i - 3 to get a higher learning. In this video, we tackle the House Robber problem (LeetCode 198). For each house, we decide whether to robit or not to maximize our total. Better than official and forum solutions. 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. The algorithm animation will be displayed on the right. After a tour, the smart thief realized that all houses in this place form a binary tree. Oct 1, 2024 · A robber wants to steal money from these houses, but he can’t steal from two adjacent houses. So the DP iterating formular is: Can you solve this real interview question? House Robber - You are a professional robber planning to rob houses along a street. Contribute to AymanAhsan/House-Robber development by creating an account on GitHub. Quick start: Click the code on the left will run to that line. 3: P-lan Plan the solution with appropriate visualizations and pseudocode. House Robber | Recursion - Top Down - Bottom Up - Bottom Up OptimisedProblem Link: https://leetcode As an example consider the Fibonacci algorithm above. Start from the simplest case. Mar 28, 2023 · There is also a robber, who wants to steal money from the homes, but he refuses to steal from adjacent homes. House Robber LeetCode Solution. We started with a simple recursive approach and progressively optimized it by using memoization, tabulation, and finally, a space-optimized solution. I came across a modification of the classic house robber problem where the robber cannot rob from $l(i)$ houses on the left of $i$th house and $r(i)$ houses on the The only difference between part 1 and 2 is only that the houses are arranged in a circular fashion. Learn easy strategies for optimal solutions! Aug 19, 2022 · Solution: Hint: Use dynamic programming – as you iterate the array , store the maximum the robber steal until that house in an array ALGORITHM: STEP1: Initialize an array which will hold the maximum money the robber can steal until that house There is only one entrance to this area, called the "root. 59K subscribers Subscribed Oct 3, 2022 · You need to solve this: given an integer array nums representing the amount of money of each house, return the maximum amount of money you can rob tonight. Problem You are a professional robber planning to rob houses along a street. I've tried few tricks using a list, but I always get the wrong answer. House Robber Problem You are a professional robber planning to rob houses along a street. The former problem is a simplest Dynamic Programming problem. How do I remember the previous decision and LeetCode algorithm problem 198. All houses in this place are arranged in a circle. Aug 13, 2025 · The following article discusses the popular 'House Robber' problem along with its implementation from the most intuitive method to the most optimal one. Besides the root, each house has one and only one parent house. The key idea of the algorithm is to maintain two variables, prev and curr E. Sep 24, 2025 · 🧩 Problem Description You are a professional robber planning to rob houses along a street. Honestly, I found dynamic programming problems challenging and non-intuitive to Jun 13, 2018 · This seems to be a variation of the LeetCode House Robber problem, but I found it significantly harder to tackle: There are houses laid out on a NxN grid. The only constraint is: adjacent houses cannot be robbed on the same night. House Robber implemented in C++, Ruby/** * @file * @brief Implementation of [House Robber * Problem](https://labuladong. 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 DP 5. Master Data Structures & Algorithms for FREE at https://AlgoMap. The constraint is that adjacent houses cannot be robbed, as this would alert the police. 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 are broken into on the same night. The problem LeetCode algorithm problem - House Robber (Java implementation), Programmer Sought, the best programmer technical posts sharing site. This video explains House Robber IV using the most optimal binary search technique The thief has found himself a new place for his thievery again. -dynamic-programming LeetCode 198. House Robber. Nov 24, 2024 · The House Robber II problem (Leetcode 213) presents a variation of the classic House Robber problem, which challenges us to find the maximum amount of money we can rob from houses arranged in a circular neighborhood. Jul 12, 2025 · We have discussed multiple approaches and detailed solutions for this problem in the below article. Each house has a certain amount of money stashed, the only constraint stopping you from robb Dynamic Programming - House Robber IISolution intution from previous house robber problem This problem is a similar to the previous HouseRobber problem, only difference is if you choose to rob 1 st house, then you cannot rob the last house and vice versa, this is because all houses are in circle shape, so first and last houses are adjacent to each other. Each house has a certain amount of money stashed, the only constraint stopping you from robbing each of them is that adjacent ho Dec 22, 2024 · In this tutorial we shall solve a very famous problem “House Robber” problem. (Grover's Algorithm) This Is How The World's Strongest Anchor Chains Are Made | by @Satisfyingtech116 Sudoku Solver Problem | using Backtracking | Leetcode Hard 3477 & 3479. LintCode 392. House Robber (easy) [Python3 dynamic programming problem solution], Programmer Sought, the best programmer technical posts sharing site. It will automatically contact the police if two directly The caveat is, if we take from the first house, we can't take from the last house and vice-versa. Dec 11, 2020 · Recently, I’ve been diving into dynamic programming with the help of this video series by Andrey Grehov. Jun 21, 2020 · House Robber - Leetcode 198 - Python Dynamic Programming NeetCode 1M subscribers Subscribe Sep 15, 2023 · The house robber problem is a classic simple dynamical programming problem. size (); In-depth solution and explanation for LeetCode 213. House Robber [Algorithm + Code Explained ] jayati tiwari 8. Maximum sum in circular array such that no two elements are adjacent We also recommend to refer the below article as a prerequisite to this. So, the first and last element are adjacent to each other too. The topic is covered all across the web, but I found many of them focused on the code, and not enough on the beautiful visualizations that shed light into how DP works. 1. One of these is this House Robber problem found on Leetcode. You are a professional robber planning to rob hou House Robber You are a robber planning to rob houses along a street. The robber can’t rob any two consecutive houses. That means the first house is the neighbor of the last one. House Robber - Explanation Problem Link Description You are given two integer arrays nums1 and nums2, both sorted in non-decreasing order, along with two integers m and n, where: m is the number of valid elements in nums1, n is the number of elements in nums2. Understanding the Problem Statement Imagine This tutorial will show some algorithms to solve House Robber II problem that often appears in coding interview or competitive programming contest. Discussed best solution on whiteboard then run on Leetcode. However, lets add a tweak💡, how do 198. House Robber (Algorithm Explained) Nick White 399K subscribers 1. 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 Though all my solutions can be found at leetcode column. After a tour, the smart thief realized that "all houses in this place forms a binary tree". Rest of the conditions remain same, the robber cannot loot any 2 adjacent houses. io. com/problems/house- Jun 15, 2015 · The house robber problem of leetcode can be described as followed : A robber enters a colony of houses numbered from 1 to n. vhxetimn oswua mzgzmp mlmykcm xtz gbfj wonem onb wqlh wvoma oxsv awoupli jlatthx itel vher