---
title: 2.07 Dynamic Programming
type: docs
weight: 7
---

# Dynamic Programming


| No.      | Title | Solution | Difficulty | TimeComplexity | SpaceComplexity |Favorite| Acceptance |
|:--------:|:------- | :--------: | :----------: | :----: | :-----: | :-----: |:-----: |
|0005|Longest Palindromic Substring|[Go]({{< relref "/ChapterFour/0001~0099/0005.Longest-Palindromic-Substring.md" >}})|Medium||||31.4%|
|0022|Generate Parentheses|[Go]({{< relref "/ChapterFour/0001~0099/0022.Generate-Parentheses.md" >}})|Medium||||68.4%|
|0032|Longest Valid Parentheses|[Go]({{< relref "/ChapterFour/0001~0099/0032.Longest-Valid-Parentheses.md" >}})|Hard||||30.7%|
|0042|Trapping Rain Water|[Go]({{< relref "/ChapterFour/0001~0099/0042.Trapping-Rain-Water.md" >}})|Hard||||54.3%|
|0045|Jump Game II|[Go]({{< relref "/ChapterFour/0001~0099/0045.Jump-Game-II.md" >}})|Medium||||35.2%|
|0053|Maximum Subarray|[Go]({{< relref "/ChapterFour/0001~0099/0053.Maximum-Subarray.md" >}})|Easy| O(n)| O(n)||48.9%|
|0055|Jump Game|[Go]({{< relref "/ChapterFour/0001~0099/0055.Jump-Game.md" >}})|Medium||||36.8%|
|0062|Unique Paths|[Go]({{< relref "/ChapterFour/0001~0099/0062.Unique-Paths.md" >}})|Medium| O(n^2)| O(n^2)||58.2%|
|0063|Unique Paths II|[Go]({{< relref "/ChapterFour/0001~0099/0063.Unique-Paths-II.md" >}})|Medium| O(n^2)| O(n^2)||36.7%|
|0064|Minimum Path Sum|[Go]({{< relref "/ChapterFour/0001~0099/0064.Minimum-Path-Sum.md" >}})|Medium| O(n^2)| O(n^2)||58.1%|
|0070|Climbing Stairs|[Go]({{< relref "/ChapterFour/0001~0099/0070.Climbing-Stairs.md" >}})|Easy| O(n)| O(n)||50.1%|
|0091|Decode Ways|[Go]({{< relref "/ChapterFour/0001~0099/0091.Decode-Ways.md" >}})|Medium| O(n)| O(n)||28.9%|
|0095|Unique Binary Search Trees II|[Go]({{< relref "/ChapterFour/0001~0099/0095.Unique-Binary-Search-Trees-II.md" >}})|Medium||||47.4%|
|0096|Unique Binary Search Trees|[Go]({{< relref "/ChapterFour/0001~0099/0096.Unique-Binary-Search-Trees.md" >}})|Medium| O(n)| O(n)||56.4%|
|0097|Interleaving String|[Go]({{< relref "/ChapterFour/0001~0099/0097.Interleaving-String.md" >}})|Medium||||34.1%|
|0115|Distinct Subsequences|[Go]({{< relref "/ChapterFour/0100~0199/0115.Distinct-Subsequences.md" >}})|Hard||||41.6%|
|0118|Pascal's Triangle|[Go]({{< relref "/ChapterFour/0100~0199/0118.Pascals-Triangle.md" >}})|Easy||||60.5%|
|0119|Pascal's Triangle II|[Go]({{< relref "/ChapterFour/0100~0199/0119.Pascals-Triangle-II.md" >}})|Easy||||55.1%|
|0120|Triangle|[Go]({{< relref "/ChapterFour/0100~0199/0120.Triangle.md" >}})|Medium| O(n^2)| O(n)||48.8%|
|0121|Best Time to Buy and Sell Stock|[Go]({{< relref "/ChapterFour/0100~0199/0121.Best-Time-to-Buy-and-Sell-Stock.md" >}})|Easy| O(n)| O(1)||53.0%|
|0122|Best Time to Buy and Sell Stock II|[Go]({{< relref "/ChapterFour/0100~0199/0122.Best-Time-to-Buy-and-Sell-Stock-II.md" >}})|Medium||||60.4%|
|0124|Binary Tree Maximum Path Sum|[Go]({{< relref "/ChapterFour/0100~0199/0124.Binary-Tree-Maximum-Path-Sum.md" >}})|Hard||||36.8%|
|0131|Palindrome Partitioning|[Go]({{< relref "/ChapterFour/0100~0199/0131.Palindrome-Partitioning.md" >}})|Medium||||55.9%|
|0152|Maximum Product Subarray|[Go]({{< relref "/ChapterFour/0100~0199/0152.Maximum-Product-Subarray.md" >}})|Medium| O(n)| O(1)||33.7%|
|0174|Dungeon Game|[Go]({{< relref "/ChapterFour/0100~0199/0174.Dungeon-Game.md" >}})|Hard||||35.6%|
|0198|House Robber|[Go]({{< relref "/ChapterFour/0100~0199/0198.House-Robber.md" >}})|Medium| O(n)| O(n)||45.0%|
|0213|House Robber II|[Go]({{< relref "/ChapterFour/0200~0299/0213.House-Robber-II.md" >}})|Medium| O(n)| O(n)||38.8%|
|0264|Ugly Number II|[Go]({{< relref "/ChapterFour/0200~0299/0264.Ugly-Number-II.md" >}})|Medium||||44.2%|
|0279|Perfect Squares|[Go]({{< relref "/ChapterFour/0200~0299/0279.Perfect-Squares.md" >}})|Medium||||51.1%|
|0300|Longest Increasing Subsequence|[Go]({{< relref "/ChapterFour/0300~0399/0300.Longest-Increasing-Subsequence.md" >}})|Medium| O(n log n)| O(n)||47.4%|
|0309|Best Time to Buy and Sell Stock with Cooldown|[Go]({{< relref "/ChapterFour/0300~0399/0309.Best-Time-to-Buy-and-Sell-Stock-with-Cooldown.md" >}})|Medium| O(n)| O(n)||50.7%|
|0322|Coin Change|[Go]({{< relref "/ChapterFour/0300~0399/0322.Coin-Change.md" >}})|Medium| O(n)| O(n)||39.0%|
|0329|Longest Increasing Path in a Matrix|[Go]({{< relref "/ChapterFour/0300~0399/0329.Longest-Increasing-Path-in-a-Matrix.md" >}})|Hard||||48.3%|
|0337|House Robber III|[Go]({{< relref "/ChapterFour/0300~0399/0337.House-Robber-III.md" >}})|Medium||||52.5%|
|0338|Counting Bits|[Go]({{< relref "/ChapterFour/0300~0399/0338.Counting-Bits.md" >}})|Easy| O(n)| O(n)||72.0%|
|0343|Integer Break|[Go]({{< relref "/ChapterFour/0300~0399/0343.Integer-Break.md" >}})|Medium| O(n^2)| O(n)||52.6%|
|0354|Russian Doll Envelopes|[Go]({{< relref "/ChapterFour/0300~0399/0354.Russian-Doll-Envelopes.md" >}})|Hard||||39.2%|
|0357|Count Numbers with Unique Digits|[Go]({{< relref "/ChapterFour/0300~0399/0357.Count-Numbers-with-Unique-Digits.md" >}})|Medium| O(1)| O(1)||49.9%|
|0368|Largest Divisible Subset|[Go]({{< relref "/ChapterFour/0300~0399/0368.Largest-Divisible-Subset.md" >}})|Medium||||39.1%|
|0376|Wiggle Subsequence|[Go]({{< relref "/ChapterFour/0300~0399/0376.Wiggle-Subsequence.md" >}})|Medium||||43.6%|
|0377|Combination Sum IV|[Go]({{< relref "/ChapterFour/0300~0399/0377.Combination-Sum-IV.md" >}})|Medium||||48.0%|
|0392|Is Subsequence|[Go]({{< relref "/ChapterFour/0300~0399/0392.Is-Subsequence.md" >}})|Easy| O(n)| O(1)||50.0%|
|0397|Integer Replacement|[Go]({{< relref "/ChapterFour/0300~0399/0397.Integer-Replacement.md" >}})|Medium||||34.2%|
|0410|Split Array Largest Sum|[Go]({{< relref "/ChapterFour/0400~0499/0410.Split-Array-Largest-Sum.md" >}})|Hard||||48.7%|
|0413|Arithmetic Slices|[Go]({{< relref "/ChapterFour/0400~0499/0413.Arithmetic-Slices.md" >}})|Medium||||61.4%|
|0416|Partition Equal Subset Sum|[Go]({{< relref "/ChapterFour/0400~0499/0416.Partition-Equal-Subset-Sum.md" >}})|Medium| O(n^2)| O(n)||45.7%|
|0435|Non-overlapping Intervals|[Go]({{< relref "/ChapterFour/0400~0499/0435.Non-overlapping-Intervals.md" >}})|Medium||||46.4%|
|0473|Matchsticks to Square|[Go]({{< relref "/ChapterFour/0400~0499/0473.Matchsticks-to-Square.md" >}})|Medium||||40.2%|
|0474|Ones and Zeroes|[Go]({{< relref "/ChapterFour/0400~0499/0474.Ones-and-Zeroes.md" >}})|Medium||||44.0%|
|0494|Target Sum|[Go]({{< relref "/ChapterFour/0400~0499/0494.Target-Sum.md" >}})|Medium||||45.3%|
|0509|Fibonacci Number|[Go]({{< relref "/ChapterFour/0500~0599/0509.Fibonacci-Number.md" >}})|Easy||||67.8%|
|0518|Coin Change 2|[Go]({{< relref "/ChapterFour/0500~0599/0518.Coin-Change-2.md" >}})|Medium||||55.1%|
|0526|Beautiful Arrangement|[Go]({{< relref "/ChapterFour/0500~0599/0526.Beautiful-Arrangement.md" >}})|Medium||||63.4%|
|0542|01 Matrix|[Go]({{< relref "/ChapterFour/0500~0599/0542.01-Matrix.md" >}})|Medium||||43.2%|
|0576|Out of Boundary Paths|[Go]({{< relref "/ChapterFour/0500~0599/0576.Out-of-Boundary-Paths.md" >}})|Medium||||39.8%|
|0583|Delete Operation for Two Strings|[Go]({{< relref "/ChapterFour/0500~0599/0583.Delete-Operation-for-Two-Strings.md" >}})|Medium||||53.8%|
|0638|Shopping Offers|[Go]({{< relref "/ChapterFour/0600~0699/0638.Shopping-Offers.md" >}})|Medium||||54.1%|
|0647|Palindromic Substrings|[Go]({{< relref "/ChapterFour/0600~0699/0647.Palindromic-Substrings.md" >}})|Medium||||63.7%|
|0714|Best Time to Buy and Sell Stock with Transaction Fee|[Go]({{< relref "/ChapterFour/0700~0799/0714.Best-Time-to-Buy-and-Sell-Stock-with-Transaction-Fee.md" >}})|Medium| O(n)| O(1)||60.1%|
|0718|Maximum Length of Repeated Subarray|[Go]({{< relref "/ChapterFour/0700~0799/0718.Maximum-Length-of-Repeated-Subarray.md" >}})|Medium||||51.2%|
|0746|Min Cost Climbing Stairs|[Go]({{< relref "/ChapterFour/0700~0799/0746.Min-Cost-Climbing-Stairs.md" >}})|Easy| O(n)| O(1)||55.9%|
|0823|Binary Trees With Factors|[Go]({{< relref "/ChapterFour/0800~0899/0823.Binary-Trees-With-Factors.md" >}})|Medium||||43.6%|
|0828|Count Unique Characters of All Substrings of a Given String|[Go]({{< relref "/ChapterFour/0800~0899/0828.Count-Unique-Characters-of-All-Substrings-of-a-Given-String.md" >}})|Hard||||48.0%|
|0834|Sum of Distances in Tree|[Go]({{< relref "/ChapterFour/0800~0899/0834.Sum-of-Distances-in-Tree.md" >}})|Hard||||52.4%|
|0838|Push Dominoes|[Go]({{< relref "/ChapterFour/0800~0899/0838.Push-Dominoes.md" >}})|Medium| O(n)| O(n)||52.0%|
|0845|Longest Mountain in Array|[Go]({{< relref "/ChapterFour/0800~0899/0845.Longest-Mountain-in-Array.md" >}})|Medium||||39.3%|
|0877|Stone Game|[Go]({{< relref "/ChapterFour/0800~0899/0877.Stone-Game.md" >}})|Medium||||68.6%|
|0887|Super Egg Drop|[Go]({{< relref "/ChapterFour/0800~0899/0887.Super-Egg-Drop.md" >}})|Hard||||26.9%|
|0898|Bitwise ORs of Subarrays|[Go]({{< relref "/ChapterFour/0800~0899/0898.Bitwise-ORs-of-Subarrays.md" >}})|Medium||||36.1%|
|0907|Sum of Subarray Minimums|[Go]({{< relref "/ChapterFour/0900~0999/0907.Sum-of-Subarray-Minimums.md" >}})|Medium||||33.0%|
|0918|Maximum Sum Circular Subarray|[Go]({{< relref "/ChapterFour/0900~0999/0918.Maximum-Sum-Circular-Subarray.md" >}})|Medium||||35.6%|
|0920|Number of Music Playlists|[Go]({{< relref "/ChapterFour/0900~0999/0920.Number-of-Music-Playlists.md" >}})|Hard||||48.8%|
|0968|Binary Tree Cameras|[Go]({{< relref "/ChapterFour/0900~0999/0968.Binary-Tree-Cameras.md" >}})|Hard||||41.2%|
|0978|Longest Turbulent Subarray|[Go]({{< relref "/ChapterFour/0900~0999/0978.Longest-Turbulent-Subarray.md" >}})|Medium||||47.5%|
|0996|Number of Squareful Arrays|[Go]({{< relref "/ChapterFour/0900~0999/0996.Number-of-Squareful-Arrays.md" >}})|Hard||||49.0%|
|1025|Divisor Game|[Go]({{< relref "/ChapterFour/1000~1099/1025.Divisor-Game.md" >}})|Easy| O(1)| O(1)||66.4%|
|1048|Longest String Chain|[Go]({{< relref "/ChapterFour/1000~1099/1048.Longest-String-Chain.md" >}})|Medium||||57.0%|
|1049|Last Stone Weight II|[Go]({{< relref "/ChapterFour/1000~1099/1049.Last-Stone-Weight-II.md" >}})|Medium||||49.4%|
|1105|Filling Bookcase Shelves|[Go]({{< relref "/ChapterFour/1100~1199/1105.Filling-Bookcase-Shelves.md" >}})|Medium||||57.8%|
|1137|N-th Tribonacci Number|[Go]({{< relref "/ChapterFour/1100~1199/1137.N-th-Tribonacci-Number.md" >}})|Easy||||60.8%|
|1143|Longest Common Subsequence|[Go]({{< relref "/ChapterFour/1100~1199/1143.Longest-Common-Subsequence.md" >}})|Medium||||58.8%|
|1235|Maximum Profit in Job Scheduling|[Go]({{< relref "/ChapterFour/1200~1299/1235.Maximum-Profit-in-Job-Scheduling.md" >}})|Hard||||50.3%|
|1463|Cherry Pickup II|[Go]({{< relref "/ChapterFour/1400~1499/1463.Cherry-Pickup-II.md" >}})|Hard||||68.4%|
|1641|Count Sorted Vowel Strings|[Go]({{< relref "/ChapterFour/1600~1699/1641.Count-Sorted-Vowel-Strings.md" >}})|Medium||||74.9%|
|1646|Get Maximum in Generated Array|[Go]({{< relref "/ChapterFour/1600~1699/1646.Get-Maximum-in-Generated-Array.md" >}})|Easy||||51.3%|
|1653|Minimum Deletions to Make String Balanced|[Go]({{< relref "/ChapterFour/1600~1699/1653.Minimum-Deletions-to-Make-String-Balanced.md" >}})|Medium||||54.0%|
|1654|Minimum Jumps to Reach Home|[Go]({{< relref "/ChapterFour/1600~1699/1654.Minimum-Jumps-to-Reach-Home.md" >}})|Medium||||25.7%|
|1655|Distribute Repeating Integers|[Go]({{< relref "/ChapterFour/1600~1699/1655.Distribute-Repeating-Integers.md" >}})|Hard||||40.5%|
|1659|Maximize Grid Happiness|[Go]({{< relref "/ChapterFour/1600~1699/1659.Maximize-Grid-Happiness.md" >}})|Hard||||36.8%|
|1664|Ways to Make a Fair Array|[Go]({{< relref "/ChapterFour/1600~1699/1664.Ways-to-Make-a-Fair-Array.md" >}})|Medium||||62.4%|
|1681|Minimum Incompatibility|[Go]({{< relref "/ChapterFour/1600~1699/1681.Minimum-Incompatibility.md" >}})|Hard||||36.5%|
|1690|Stone Game VII|[Go]({{< relref "/ChapterFour/1600~1699/1690.Stone-Game-VII.md" >}})|Medium||||58.9%|
|1691|Maximum Height by Stacking Cuboids|[Go]({{< relref "/ChapterFour/1600~1699/1691.Maximum-Height-by-Stacking-Cuboids.md" >}})|Hard||||52.4%|
|1696|Jump Game VI|[Go]({{< relref "/ChapterFour/1600~1699/1696.Jump-Game-VI.md" >}})|Medium||||42.2%|
|------------|-------------------------------------------------------|-------| ----------------| ---------------|-------------|-------------|-------------|


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