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    Learning PathDSADynamic Programming Patterns
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    Pattern 13 of 15

    Dynamic Programming Patterns

    Master DP patterns including Fibonacci, Kadane, knapsack, LCS, LIS, edit distance, and grid paths. Solve optimization problems with overlapping subproblems.

    Subpatterns

    12

    Est. Time

    180 min

    Subpatterns

    1.

    Edit Distance - Levenshtein Distance

    Calculate minimum edit operations to transform one string to another using 2D DP.

    2.

    Kadane's Algorithm - Maximum Subarray

    Master Kadane's algorithm for finding maximum (or minimum) subarray sum in O(n) time.

    3.

    Interval Dynamic Programming

    Solve problems on intervals like burst balloons and matrix chain multiplication using interval DP.

    4.

    Unique Paths on Grid - 2D DP

    Count paths and find optimal paths in grids using 2D dynamic programming.

    5.

    Fibonacci Style DP

    Solve problems with Fibonacci-like recurrence: climbing stairs, house robber, decode ways.

    6.

    0/1 Knapsack and Subset Sum

    Solve 0/1 knapsack, partition equal subset sum, and target sum problems.

    7.

    Longest Common Subsequence (LCS)

    Find longest common subsequence between two strings using 2D DP.

    8.

    Catalan Numbers DP

    Solve problems involving Catalan numbers: unique BSTs, parentheses combinations, polygon triangulation.

    9.

    Word Break Pattern

    Determine if string can be segmented into dictionary words using DP.

    10.

    Stock Trading DP Problems

    Solve stock trading problems with k transactions, cooldown, and transaction fees using DP.

    11.

    Coin Change - Unbounded Knapsack

    Solve coin change and unbounded knapsack problems where items can be reused.

    12.

    Longest Increasing Subsequence (LIS)

    Find LIS using DP and binary search optimization. O(n log n) solution.

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