LeetCode 494 Target Sum with Dynamic Programming

🚀 Day 165 of My LeetCode Journey 🚀 494. Target Sum 🫧 In this problem, given an array of numbers and a target value. The goal is to place either a ‘+’ or ‘–’ sign in front of every number so that the final expression evaluates to the given target. ▪️ At first, it looks like we need to try all possible + and - combinations, but that would be inefficient. Instead, we can convert the problem into a subset sum problem. ▪️ If we divide the numbers into two groups, one with positive signs and the other with negative signs. ▪️ The equation becomes positive-negative = target. ▪️ After rearranging the equation, we get negative = (total - target) divided by 2. ▪️ This means the problem now becomes finding how many subsets of the array have a sum equal to (total_sum - target) / 2. ▪️ If (total - target) is negative or odd, it is impossible to form such subsets, we can immediately return 0. ▪️ To solve this, use recursion with memoization. ▪️ At every index, we have two choices, either to pick the current number or skip it. ▪️ We store intermediate results in a DP dictionary so that if the same state appears again, we don’t recalculate it. #LeetCode #DynamicProgramming #Python #CodingJourney #Day165 🔥

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