Dynamic Programming

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What are the steps for solving a dynamic programming problem?
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What kinds of dynamic programming problems are there?
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What is the recurrence for the LCSLCS (longest common subsequence) problem?
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What is the recurrence for the LPS (longest palindromic subsequence) problem?
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What is the recurrence for the LRS (longest repeated subsequences) problem?
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What is the recurrence for the SCS (shortest common supersequence) problem?
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What is the recurrence for the LIS (longest increasing subsequence) problem?
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What is the recurrence for the Matrix Chain Multiplication problem?
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0-1 Knapsack problem (discrete)
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0-1 Knapsack problem (continuous)
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