Dynamic Programming LeetCode Problems: All 481, With Python Solutions

Every problem in this library that LeetCode tags Dynamic Programming — 481 in total, 416 of them with a complete Python solution, a worked example and the time and space complexity of the approach.

481 problems
12 Easy
243 Medium
226 Hard

How Dynamic Programming problems are solved

A tag names the subject, not the method. These pattern hubs cover the techniques that actually solve Dynamic Programming problems — each one explains the approach, gives a Python template and states its complexity.

Dynamic Programming — Define a state, write the transition, and stop recomputing the same subproblem.

Dynamic Programming problems by difficulty

Showing the first 200 of 481 problems. Problems with a complete Python solution are listed first, then by ascending problem number.

Easy (10)

#	Problem	Difficulty	Topics
70	Climbing Stairs	Easy	Memoization, Math, Dynamic Programming
118	Pascal's Triangle	Easy	Array, Dynamic Programming
119	Pascal's Triangle II	Easy	Array, Dynamic Programming
121	Best Time to Buy and Sell Stock	Easy	Array, Dynamic Programming
338	Counting Bits	Easy	Bit Manipulation, Dynamic Programming
392	Is Subsequence	Easy	Two Pointers, String, Dynamic Programming
509	Fibonacci Number	Easy	Recursion, Memoization, Math +1
746	Min Cost Climbing Stairs	Easy	Array, Dynamic Programming
1025	Divisor Game	Easy	Brainteaser, Math, Dynamic Programming +1
1137	N-th Tribonacci Number	Easy	Memoization, Math, Dynamic Programming

Medium (111)

#	Problem	Difficulty	Topics
5	Longest Palindromic Substring	Medium	Two Pointers, String, Dynamic Programming
22	Generate Parentheses	Medium	String, Dynamic Programming, Backtracking
45	Jump Game II	Medium	Greedy, Array, Dynamic Programming
53	Maximum Subarray	Medium	Array, Divide and Conquer, Dynamic Programming
55	Jump Game	Medium	Greedy, Array, Dynamic Programming
62	Unique Paths	Medium	Math, Dynamic Programming, Combinatorics
63	Unique Paths II	Medium	Array, Dynamic Programming, Matrix
64	Minimum Path Sum	Medium	Array, Dynamic Programming, Matrix
72	Edit Distance	Medium	String, Dynamic Programming
91	Decode Ways	Medium	String, Dynamic Programming
95	Unique Binary Search Trees II	Medium	Tree, Binary Search Tree, Dynamic Programming +2
96	Unique Binary Search Trees	Medium	Tree, Binary Search Tree, Math +2
97	Interleaving String	Medium	String, Dynamic Programming
120	Triangle	Medium	Array, Dynamic Programming
122	Best Time to Buy and Sell Stock II	Medium	Greedy, Array, Dynamic Programming
131	Palindrome Partitioning	Medium	String, Dynamic Programming, Backtracking
139	Word Break	Medium	Trie, Memoization, Array +3
152	Maximum Product Subarray	Medium	Array, Dynamic Programming
198	House Robber	Medium	Array, Dynamic Programming
213	House Robber II	Medium	Array, Dynamic Programming
221	Maximal Square	Medium	Array, Dynamic Programming, Matrix
241	Different Ways to Add Parentheses	Medium	Recursion, Memoization, Math +2
264	Ugly Number II	Medium	Hash Table, Math, Dynamic Programming +1
279	Perfect Squares	Medium	Breadth-First Search, Math, Dynamic Programming
300	Longest Increasing Subsequence	Medium	Array, Binary Search, Dynamic Programming
309	Best Time to Buy and Sell Stock with Cooldown	Medium	Array, Dynamic Programming
313	Super Ugly Number	Medium	Array, Math, Dynamic Programming
322	Coin Change	Medium	Breadth-First Search, Array, Dynamic Programming
337	House Robber III	Medium	Tree, Depth-First Search, Dynamic Programming +1
343	Integer Break	Medium	Math, Dynamic Programming
357	Count Numbers with Unique Digits	Medium	Math, Dynamic Programming, Backtracking
368	Largest Divisible Subset	Medium	Array, Math, Dynamic Programming +1
375	Guess Number Higher or Lower II	Medium	Math, Dynamic Programming, Game Theory
376	Wiggle Subsequence	Medium	Greedy, Array, Dynamic Programming
377	Combination Sum IV	Medium	Array, Dynamic Programming
396	Rotate Function	Medium	Array, Math, Dynamic Programming
397	Integer Replacement	Medium	Greedy, Bit Manipulation, Memoization +1
413	Arithmetic Slices	Medium	Array, Dynamic Programming, Sliding Window
416	Partition Equal Subset Sum	Medium	Array, Dynamic Programming
435	Non-overlapping Intervals	Medium	Greedy, Array, Dynamic Programming +1
464	Can I Win	Medium	Bit Manipulation, Memoization, Math +3
467	Unique Substrings in Wraparound String	Medium	String, Dynamic Programming
473	Matchsticks to Square	Medium	Bit Manipulation, Array, Dynamic Programming +2
474	Ones and Zeroes	Medium	Array, String, Dynamic Programming
486	Predict the Winner	Medium	Recursion, Array, Math +2
494	Target Sum	Medium	Array, Dynamic Programming, Backtracking
516	Longest Palindromic Subsequence	Medium	String, Dynamic Programming
518	Coin Change II	Medium	Array, Dynamic Programming
526	Beautiful Arrangement	Medium	Bit Manipulation, Array, Dynamic Programming +2
542	01 Matrix	Medium	Breadth-First Search, Array, Dynamic Programming +1
553	Optimal Division	Medium	Array, Math, Dynamic Programming
576	Out of Boundary Paths	Medium	Dynamic Programming
583	Delete Operation for Two Strings	Medium	String, Dynamic Programming
638	Shopping Offers	Medium	Bit Manipulation, Memoization, Array +3
646	Maximum Length of Pair Chain	Medium	Greedy, Array, Dynamic Programming +1
647	Palindromic Substrings	Medium	Two Pointers, String, Dynamic Programming
650	2 Keys Keyboard	Medium	Math, Dynamic Programming
673	Number of Longest Increasing Subsequence	Medium	Binary Indexed Tree, Segment Tree, Array +1
678	Valid Parenthesis String	Medium	Stack, Greedy, String +1
688	Knight Probability in Chessboard	Medium	Dynamic Programming
698	Partition to K Equal Sum Subsets	Medium	Bit Manipulation, Memoization, Array +3
712	Minimum ASCII Delete Sum for Two Strings	Medium	String, Dynamic Programming
714	Best Time to Buy and Sell Stock with Transaction Fee	Medium	Greedy, Array, Dynamic Programming
718	Maximum Length of Repeated Subarray	Medium	Array, Binary Search, Dynamic Programming +3
740	Delete and Earn	Medium	Array, Hash Table, Dynamic Programming
764	Largest Plus Sign	Medium	Array, Dynamic Programming
787	Cheapest Flights Within K Stops	Medium	Depth-First Search, Breadth-First Search, Graph +3
788	Rotated Digits	Medium	Math, Dynamic Programming
790	Domino and Tromino Tiling	Medium	Dynamic Programming
792	Number of Matching Subsequences	Medium	Trie, Array, Hash Table +4
799	Champagne Tower	Medium	Dynamic Programming
808	Soup Servings	Medium	Math, Dynamic Programming, Probability and Statistics
813	Largest Sum of Averages	Medium	Array, Dynamic Programming, Prefix Sum
823	Binary Trees With Factors	Medium	Array, Hash Table, Dynamic Programming +1
837	New 21 Game	Medium	Math, Dynamic Programming, Sliding Window +1
838	Push Dominoes	Medium	Two Pointers, String, Dynamic Programming
845	Longest Mountain in Array	Medium	Array, Two Pointers, Dynamic Programming +1
873	Length of Longest Fibonacci Subsequence	Medium	Array, Hash Table, Dynamic Programming
877	Stone Game	Medium	Array, Math, Dynamic Programming +1
894	All Possible Full Binary Trees	Medium	Tree, Recursion, Memoization +2
898	Bitwise ORs of Subarrays	Medium	Bit Manipulation, Array, Dynamic Programming
907	Sum of Subarray Minimums	Medium	Stack, Array, Dynamic Programming +1
918	Maximum Sum Circular Subarray	Medium	Queue, Array, Divide and Conquer +2
926	Flip String to Monotone Increasing	Medium	String, Dynamic Programming
931	Minimum Falling Path Sum	Medium	Array, Dynamic Programming, Matrix
935	Knight Dialer	Medium	Dynamic Programming
978	Longest Turbulent Subarray	Medium	Array, Dynamic Programming, Sliding Window
983	Minimum Cost For Tickets	Medium	Array, Dynamic Programming
1014	Best Sightseeing Pair	Medium	Array, Dynamic Programming
1024	Video Stitching	Medium	Greedy, Array, Dynamic Programming
1027	Longest Arithmetic Subsequence	Medium	Array, Hash Table, Binary Search +1
1031	Maximum Sum of Two Non-Overlapping Subarrays	Medium	Array, Dynamic Programming, Sliding Window
1035	Uncrossed Lines	Medium	Array, Dynamic Programming
1039	Minimum Score Triangulation of Polygon	Medium	Array, Dynamic Programming
1043	Partition Array for Maximum Sum	Medium	Array, Dynamic Programming
1048	Longest String Chain	Medium	Array, Hash Table, Two Pointers +3
1049	Last Stone Weight II	Medium	Array, Dynamic Programming
1105	Filling Bookcase Shelves	Medium	Array, Dynamic Programming
1130	Minimum Cost Tree From Leaf Values	Medium	Stack, Greedy, Array +2
1139	Largest 1-Bordered Square	Medium	Array, Dynamic Programming, Matrix
1140	Stone Game II	Medium	Array, Math, Dynamic Programming +2
1143	Longest Common Subsequence	Medium	String, Dynamic Programming
1155	Number of Dice Rolls With Target Sum	Medium	Dynamic Programming
1162	As Far from Land as Possible	Medium	Breadth-First Search, Array, Dynamic Programming +1
1186	Maximum Subarray Sum with One Deletion	Medium	Array, Dynamic Programming
1191	K-Concatenation Maximum Sum	Medium	Array, Dynamic Programming
1218	Longest Arithmetic Subsequence of Given Difference	Medium	Array, Hash Table, Dynamic Programming
1227	Airplane Seat Assignment Probability	Medium	Brainteaser, Math, Dynamic Programming +1
1262	Greatest Sum Divisible by Three	Medium	Greedy, Array, Dynamic Programming +1
1277	Count Square Submatrices with All Ones	Medium	Array, Dynamic Programming, Matrix
1334	Find the City With the Smallest Number of Neighbors at a Threshold Distance	Medium	Graph, Dynamic Programming, Shortest Path

Hard (79)

#	Problem	Difficulty	Topics
10	Regular Expression Matching	Hard	Recursion, String, Dynamic Programming
32	Longest Valid Parentheses	Hard	Stack, String, Dynamic Programming
42	Trapping Rain Water	Hard	Stack, Array, Two Pointers +2
44	Wildcard Matching	Hard	Greedy, Recursion, String +1
85	Maximal Rectangle	Hard	Stack, Array, Dynamic Programming +2
87	Scramble String	Hard	String, Dynamic Programming
115	Distinct Subsequences	Hard	String, Dynamic Programming
123	Best Time to Buy and Sell Stock III	Hard	Array, Dynamic Programming
124	Binary Tree Maximum Path Sum	Hard	Tree, Depth-First Search, Dynamic Programming +1
132	Palindrome Partitioning II	Hard	String, Dynamic Programming
140	Word Break II	Hard	Trie, Memoization, Array +4
174	Dungeon Game	Hard	Array, Dynamic Programming, Matrix
188	Best Time to Buy and Sell Stock IV	Hard	Array, Dynamic Programming
233	Number of Digit One	Hard	Recursion, Math, Dynamic Programming
312	Burst Balloons	Hard	Array, Dynamic Programming
329	Longest Increasing Path in a Matrix	Hard	Depth-First Search, Breadth-First Search, Graph +5
354	Russian Doll Envelopes	Hard	Array, Binary Search, Dynamic Programming +1
403	Frog Jump	Hard	Array, Dynamic Programming
410	Split Array Largest Sum	Hard	Greedy, Array, Binary Search +2
446	Arithmetic Slices II - Subsequence	Hard	Array, Dynamic Programming
458	Poor Pigs	Hard	Math, Dynamic Programming, Combinatorics
466	Count The Repetitions	Hard	String, Dynamic Programming
472	Concatenated Words	Hard	Depth-First Search, Trie, Array +3
488	Zuma Game	Hard	Stack, Breadth-First Search, Memoization +2
514	Freedom Trail	Hard	Depth-First Search, Breadth-First Search, String +1
546	Remove Boxes	Hard	Memoization, Array, Dynamic Programming
552	Student Attendance Record II	Hard	Dynamic Programming
600	Non-negative Integers without Consecutive Ones	Hard	Dynamic Programming
629	K Inverse Pairs Array	Hard	Dynamic Programming
639	Decode Ways II	Hard	String, Dynamic Programming
664	Strange Printer	Hard	String, Dynamic Programming
689	Maximum Sum of 3 Non-Overlapping Subarrays	Hard	Array, Dynamic Programming, Prefix Sum +1
691	Stickers to Spell Word	Hard	Bit Manipulation, Memoization, Array +5
730	Count Different Palindromic Subsequences	Hard	String, Dynamic Programming
741	Cherry Pickup	Hard	Array, Dynamic Programming, Matrix
773	Sliding Puzzle	Hard	Breadth-First Search, Memoization, Array +3
801	Minimum Swaps To Make Sequences Increasing	Hard	Array, Dynamic Programming
805	Split Array With Same Average	Hard	Bit Manipulation, Array, Math +2
818	Race Car	Hard	Dynamic Programming
828	Count Unique Characters of All Substrings of a Given String	Hard	Hash Table, String, Dynamic Programming
834	Sum of Distances in Tree	Hard	Tree, Depth-First Search, Graph +1
847	Shortest Path Visiting All Nodes	Hard	Bit Manipulation, Breadth-First Search, Graph +2
871	Minimum Number of Refueling Stops	Hard	Greedy, Array, Dynamic Programming +1
879	Profitable Schemes	Hard	Array, Dynamic Programming
887	Super Egg Drop	Hard	Math, Binary Search, Dynamic Programming
902	Numbers At Most N Given Digit Set	Hard	Array, Math, String +2
903	Valid Permutations for DI Sequence	Hard	String, Dynamic Programming, Prefix Sum
913	Cat and Mouse	Hard	Graph, Topological Sort, Memoization +3
920	Number of Music Playlists	Hard	Math, Dynamic Programming, Combinatorics
940	Distinct Subsequences II	Hard	String, Dynamic Programming
943	Find the Shortest Superstring	Hard	Bit Manipulation, Array, String +2
956	Tallest Billboard	Hard	Array, Dynamic Programming
960	Delete Columns to Make Sorted III	Hard	Array, String, Dynamic Programming
964	Least Operators to Express Number	Hard	Memoization, Math, Dynamic Programming
968	Binary Tree Cameras	Hard	Tree, Depth-First Search, Dynamic Programming +1
975	Odd Even Jump	Hard	Stack, Array, Dynamic Programming +3
996	Number of Squareful Arrays	Hard	Bit Manipulation, Array, Hash Table +4
1000	Minimum Cost to Merge Stones	Hard	Array, Dynamic Programming, Prefix Sum
1012	Numbers With Repeated Digits	Hard	Math, Dynamic Programming
1092	Shortest Common Supersequence	Hard	String, Dynamic Programming
1125	Smallest Sufficient Team	Hard	Bit Manipulation, Array, Dynamic Programming +1
1147	Longest Chunked Palindrome Decomposition	Hard	Greedy, Two Pointers, String +3
1187	Make Array Strictly Increasing	Hard	Array, Binary Search, Dynamic Programming +1
1220	Count Vowels Permutation	Hard	Dynamic Programming
1223	Dice Roll Simulation	Hard	Array, Dynamic Programming
1235	Maximum Profit in Job Scheduling	Hard	Array, Binary Search, Dynamic Programming +1
1255	Maximum Score Words Formed by Letters	Hard	Bit Manipulation, Array, Hash Table +5
1269	Number of Ways to Stay in the Same Place After Some Steps	Hard	Dynamic Programming
1278	Palindrome Partitioning III	Hard	String, Dynamic Programming
1289	Minimum Falling Path Sum II	Hard	Array, Dynamic Programming, Matrix
1301	Number of Paths with Max Score	Hard	Array, Dynamic Programming, Matrix
1312	Minimum Insertion Steps to Make a String Palindrome	Hard	String, Dynamic Programming
1320	Minimum Distance to Type a Word Using Two Fingers	Hard	String, Dynamic Programming
1326	Minimum Number of Taps to Open to Water a Garden	Hard	Greedy, Array, Dynamic Programming
1335	Minimum Difficulty of a Job Schedule	Hard	Array, Dynamic Programming
1340	Jump Game V	Hard	Array, Dynamic Programming, Sorting
1349	Maximum Students Taking Exam	Hard	Bit Manipulation, Array, Dynamic Programming +2
1359	Count All Valid Pickup and Delivery Options	Hard	Math, Dynamic Programming, Combinatorics
1363	Largest Multiple of Three	Hard	Greedy, Array, Math +2

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