Subbareddy karri’s Post

What if adding and subtracting numbers could lead to the same target? ➕➖ Let’s decode how. Hey everyone! Day 319 of my 365-day coding journey brought me face-to-face with one of the most interesting dynamic programming problems — LeetCode 494: Target Sum. This problem is a fantastic blend of recursion, logic, and optimization through DP. Let’s dive in. ⚡ 🛠️ The Problem You’re given an integer array nums and a target value.   By assigning either a “+” or “−” sign before each number, the goal is to count how many different expressions can evaluate to the given target. Example: nums = [1, 1, 1, 1, 1], target = 3 → Output = 5   (There are 5 ways to assign symbols to reach 3.) 🎯 The Approach I solved this using two approaches — starting from the basics and optimizing it further. Solution 1: Recursion (Brute Force) I used a recursive function that tries adding and subtracting each element to explore all possible combinations. This clearly demonstrates the problem’s structure but leads to exponential time complexity (O(2^N)). Solution 2: 1D Dynamic Programming To optimize, I transformed the problem into a subset-sum variation. By using a 1D DP array, I tracked how many ways we can achieve each possible sum. This reduced the complexity to O(N * Sum), making it scalable for larger inputs. 🧠 Key Takeaways 💡 Many DP problems start with recursion — identifying overlapping subproblems helps in building optimized solutions.   🧩 Transforming a problem (like Target Sum → Subset Sum) can often reveal a cleaner, more efficient path.   ⚙️ 1D DP arrays save space without compromising clarity or performance.  💬 Challenge for You! How do you usually transition from recursion to dynamic programming? What’s your mental model for identifying patterns like this? 📺 Watch My Full Walkthrough I explain both the recursive and optimized DP solutions step-by-step in my latest video: https://lnkd.in/gE9Ma7uA 🔥 Join the Conversation If you’re exploring dynamic programming or solving LeetCode challenges daily, let’s connect and grow together! 🚀 #CodingJourney #DSA #DynamicProgramming #LeetCode #ProblemSolving #TargetSum #Recursion #Algorithms #CodeNewbies #DeveloperLife #Programming #LearningEveryDay #365DaysOfCode

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