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# Dynamic Programming

Go to Problems
• Dynamic Programming (commonly referred to as DP) is an algorithmic technique for solving a problem by recursively breaking it down into simpler subproblems and using the fact that the optimal solution to the overall problem depends upon the optimal solution to itâ€™s individual subproblems.
• The technique was developed byÂ Richard BellmanÂ in the 1950s.
• DP algorithm solves each subproblem just once and then remembers its answer, thereby avoiding re-computation of the answer for similar subproblem every time.
• It is the most powerful design technique for solving optimization related problems.
• It also gives us a life lesson -Â Make life less complex.Â There is no such thing as big problem in life. Even if it appears big, it can be solved by breaking into smaller problems and then solving each optimally. Learn More.

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## Dynamic Programming Problems

2d string dp
Greedy or dp
Problem Score Companies Time Status
Tushar's Birthday Bombs 200
78:46
Jump Game Array 225 41:16
Min Jumps Array 300 71:51
Tree dp
Problem Score Companies Time Status
Max edge queries! 200 56:13
Max Sum Path in Binary Tree 400 55:11
Suffix / prefix dp
Problem Score Companies Time Status
Sub Matrices with sum Zero 200
74:03
Coin Sum Infinite 225 64:48
Max Product Subarray 300 65:15
Best Time to Buy and Sell Stocks I 300 28:13
Arrange II 350 72:05
Derived dp
Problem Score Companies Time Status
Chain of Pairs 200 42:56
Max Sum Without Adjacent Elements 225 58:13
Merge elements 300 60:03
Knapsack
Problem Score Companies Time Status
Flip Array 200
79:34
Tushar's Birthday Party 200 71:36
0-1 Knapsack 200 48:24
Equal Average Partition 350 72:09
Dp
Problem Score Companies Time Status
Potions 200 56:35
Adhoc
Problem Score Companies Time Status
Best Time to Buy and Sell Stocks II 225 40:18
Dp optimized backtrack
Problem Score Companies Time Status
Word Break II 350 67:47
Multiply dp
Problem Score Companies Time Status
Unique Binary Search Trees II 400 36:14
Count Permutations of BST 400
62:03
Breaking words
Problem Score Companies Time Status
Palindrome Partitioning II 400 62:22
Word Break 400 67:21

## Additional Practice

Problem Score Companies Time Status
Double Increasing Series 200 43:59
Dice Rolls 300 27:43
Palindromic Substrings 200 26:35
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