DP problems
Here is a list of recommended elementary DP problems to solve:
Max Matrix sum: http://learntocp.com/en/Problems/max-matrix-sum
Robber Problem: http://learntocp.com/en/Problems/robber
Longest Common Subsequence (LCS) : http://learntocp.com/en/Problems/lcs
Longest Increasing Subsequence (LIS) : http://learntocp.com/en/Problems/lis
Longest Increasing Subsequence II : http://learntocp.com/en/Problems/lis-2
Knapsack Problem : http://learntocp.com/en/Problems/knapsack