Web Reference: In-depth solution and explanation for LeetCode 343. Integer Break in Python, Java, C++ and more. Intuitions, example walk through, and complexity analysis. Better than official and forum solutions. Integer Break - Given an integer n, break it into the sum of k positive integers, where k >= 2, and maximize the product of those integers. Return the maximum product you can get. Base case: if num == 1, return 1. If num equals the original input n, initialize result to 0 (must break). Otherwise, num itself is a valid option. Try all splits i from 1 to num - 1, computing dfs(i) * dfs(num - i) and keeping the maximum. Return the maximum product found.
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Last Updated: April 7, 2026

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