The standard DP solution for Longest Increasing Subsequence (LIS) uses two nested loops: for each element i, scan all previous elements j < i. That takes O(N^2) time, which times out when N = 100,000. Everyone says the optimal solution is ...Read more
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In standard textbook explanations of the 0/1 Knapsack problem, the solution uses a 2D table dp[n][W] where each cell represents the max value using a subset of items under capacity W. Then instructors show an optimization: ‘Just replace the 2D array ...Read more