# Questions tagged [dynamic-programming]

Dynamic programming is an algorithmic technique for efficiently solving problems with a recursive structure containing many overlapping subproblems.

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### Why below recursive DP solution is so slow? (Leetcode Q# 123 - Best Time to Buy and Sell Stock III)

This is regarding leetcode Question# 123. I have solved the question (code below) but the solution is showing "Your runtime beats 5.89 % of cpp submissions."? Is there any additional ...
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### Split money into every possible combination of coin denominations

Background and objective of the code Based on this Dev.to challenge, I wrote the Python code below (TIO link also available). The task was to return the least number of coins in a given denomination ...
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### C++ Dynamic Array Class Testing

I'm creating a basic Dynamic Array class in C++, and I'd like to know if there are any bugs/memory leaks I haven't noticed yet. dyn_arr.h : ...
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### Find sequence to a target number using restricted set of primitive operations

Given an integer 𝑛, compute the minimum number of operations(+1, x2, x3) needed to obtain the number 𝑛 starting from the number 1. I did this using this code: ...
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### Knapsack performance issue

I'm solving a knapsack problem here. It works, but gives time limit exceeds on a certain test case. Problem statement There are N items, numbered 1,2,…,N. For each i (1≤i≤N), Item i has a weight of ...
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### LeetCode 1320: Minimum Distance to Type a Word Using Two Fingers II

I'm posting my Python code for LeetCode's 1320. If you have time and would like to review, please do so. Problem You have a keyboard layout as shown above in the XY plane, where each English ...
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### LeetCode 1320: Minimum Distance to Type a Word Using Two Fingers I

I'm posting my C++ code for LeetCode's 1320. If you have time and would like to review, please do so. Thank you! Problem You have a keyboard layout as shown above in the XY plane, where each English ...
70 views

### LeetCode 375: Guess Number Higher or Lower II

I'm posting my C++ code for LeetCode's Guess Number Higher or Lower II. If you have time and would like to review, please do so. Problem We are playing the Guess Game. The game is as follows: I pick ...
69 views

I have written a simple fibonacci function in Haskell that uses the State monad to save solutions to overlapping sub-problems. Now despite the function working I am not really happy with the solution, ...
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### Maximum subset sum with no adjacent elements

Write a function that takes an array of integers (Both Positive and negative) and return the maximum sum of non adjacent elements. Note that even if all values are negative, I don't have an option to ...
59 views

### Recursive brute-force approach to maximum points you can obtain from cards

I came across this question on Leetcode. The question description is as follows: There are several cards arranged in a row, and each card has an associated number of points. The points are given in ...
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### (Java) Read .txt and organize activities for hours / minutes

Doubts in logic to generate the output file according to the example I need that even if he reaches the total_min <720 condition he continues to travel the lines. 720 is the total number of minutes ...
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### Matrix problem, the path that is the flattest

So in this problem I am given an NxN matrix, in which each value of the matrix represents an altitude. I need to find the best path from the top-left corner to the bottom-right one, my moves being ...
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### LeetCode: Trapping Rain Water DP C#

Please review for performance and C# style. I already solved this question in 1 way. LeetCode: trapping rain water C# I tried also the dynamic programming approch https://leetcode.com/problems/...
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### C# - Reapply the manipulation of JS Object in .Net Core

IMPORTANT: I made another version with some improvements: Version 2 Since some months ago I disagree with the native/code methods to manipulate dynamic or ...
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### Is there a route to the end of the jump table?

I'm currently learning about Dynamic Programming and solving a "coding question" related to the topic. Given an array of non-negative integers, you are initially positioned at the first ...
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### LeetCode: Longest String Chain (Java)

For the question, I had a pretty messy solution so I would like some advice on how to better use Java to make the code a bit cleaner. Also, a semi-hack that I did that I'm not proud of is checking if ...
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### Dynamic SQL query for count data

I'm working on an application that counts the number of employees in each department. Here's my code: ...
88 views

### Find the smallest number of perfect squares that sum to a target

Given a positive integer n, find the smallest number of perfect squares (for example, 1, 4, 9, 16, ...) that sum to n. ...
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### A function to scan user input as string

I know that multiple functions are already available. However, I thought of writing my own because I wanted to learn the logic (and also because I thought there wasn't enough confusion :P). Please ...
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### Printing the number of ways a message can be decoded

My below solution to the following problem is exceeding the maximum recursion depth. I am looking for any improvements which i can make. Problem Alice and Bob need to send secret messages to each ...
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### Maximum sum combination

I am trying to solve this question: https://www.codechef.com/problems/TADELIVE Andy and Bob are the only two delivery men of Pizza-chef store. Today, the store received N orders. It's known that ...
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### Total number of non overlapping subsets

I am trying to solve this question. The essence of the problem is this: Given a list of school classes with start and end times, find the total number of non-overlapping subsets. I've written up a ...
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### Minimum path sum in a triangle (Project Euler 18 and 67) with Python

Project Euler 18 Project Euler 67 As problem 67 is harder, I'll go with that one: By starting at the top of the triangle below and moving to adjacent numbers on the row below, the maximum ...
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### find longest common substring in space O(n)

I am working on the class question find the longest common substring from 2 strings but I would like to return the longest common substring instead of just size of longest common substring.like ...
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### How do I optimize memoization in order to find longest palindromic substring?

I want to find the longest palindromic substring using dynamic programming in Python3. The strings can be as large as this string. I have seen other questions on this problem that successfully solve ...
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### Rod Cutting Problem Code

I am learning dynamic programming. I read articles for the rod cutting problem and I applied it in cpp, and I got a doubt, does the below code solves the problem through memoization (say, previously ...
183 views

### LeetCode: Shortest Common Supersequence C#

https://leetcode.com/problems/shortest-common-supersequence/ Given two strings str1 and str2, return the shortest string that has both str1 and str2 as subsequences. If multiple answers exist, ...
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### Solution to knapsack problem exceeds time and RAM limits

My goal is to code the knapsack problem algorithm. The problem is that a knapsack has a given weight limit, W. I have a collection of items which have a given ...
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### LeetCode: Burst Balloons C#

https://leetcode.com/problems/burst-balloons/ Given n balloons, indexed from 0 to n-1, ...
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### LeetCode: House Robber III C#

https://leetcode.com/problems/house-robber-iii/ Please review for performance The thief has found himself a new place for his thievery again. There is only one entrance to this area, called the "...
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### Determine if a string is a sequence of dictionary words

This is Leetcode problem 139: "Wordbreak" Problem: Given a non-empty string s and a dictionary wordDict containing a list ...
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### Recursion to dynamic programming [closed]

I was trying to solve a problem on de-arrangements (Number of partial derangement such that exactly prime number discs are found away from their natural positions? (Any number of non-prime K disks ...
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### Using Dynamic Programming to reduce time complexity

Input A long string of numbers, A list of numbers in string Output Minimum space needed in long string to match maximum numbers from list Example ...
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### Calculate the rates at which users get stuck at each stage

I completed an algorithm problem just as a personal study, and I can't help but feel like my solution is a bit needlessly complicated, although I can't figure out a better way to do it. Here's the ...
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### Optimal BST challenge

I was coding the problem here. I think I have solved it, but I ran into time limit exceeded issues. I am new in Competitive Programming, so I was looking for a better, time efficient logic for solving ...
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### Project Euler # 21 amicable numbers Python

Let $d(n)$ be defined as the sum of proper divisors of $n$ (numbers less than $n$ which divide evenly into $n$). If $d(a) = b$ and $d(b) = a$, where $a ≠ b$, then $a$ and $b$ are an ...
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### Project Euler #14: Longest Collatz Sequence starting point

Problem statement: The following iterative sequence is defined for the set of positive integers: n → n/2 (n is even) n → 3n + 1 (n is odd) Using the rule above and starting with 13, we ...
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### Length of the longest common sub sequence bottom up

Could I get some feedback on this code? I included a test case as well. This code computes the longest common sub sequence given paired data, it was not part of any challenge I just did it to learn ...
162 views

### Optimal burger-eating challenge

Little history to give context to the problem: The Krusty-Burgers Homer Simpson is a smart guy who likes to eat Krusty-Burgers, and it takes m minutes for Homer ...
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### The Dungeon game

This is a Leetcode problem - The demons had captured the princess (P) and imprisoned her in the bottom-right corner of a dungeon. The dungeon consists of M x N rooms laid out in a 2D grid. Our ...
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### Bursting Balloons

This is a Leetcode problem - Given n balloons, indexed from 0 to n-1. Each balloon is ...
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### Python program to solve the “rod-cutting problem”

An assignment at school required me to write a program for this task: In the rod-cutting problem, we are given a rod of length n inches and a table of prices <...
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### Python program to solve matrix-chain multiplication

An assignment at school required me to write a Python program for this task: In the matrix-chain multiplication problem, we are given a sequence of matrices ...
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### Longest Palindrome Substring: Where is the dynamic programming? [closed]

In this LeetCode problem, Longest Palindromic Substring, it is listed under Dynamic Programming for Google interview preparation. My understanding of dynamic programming is roughly "recursion + ...
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### Python program for “0-1 knapsack problem”

Here is what a knapsack/rucksack problem means (taken from Wikipedia): Given a set of items, each with a weight and a value, determine the number of each item to include in a collection so that ...
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### Identify fraudulent bank transactions

Task: Return true if a transaction is allowed and return false if transaction is prohibited. Details: 1. String is represented as an "array" that can contain up to three elements. We need to ...
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### CodeChef Matches challenge

I am solving some problems from CodeChef but I am stuck on the Matches problem: Ari and Rich are playing a pretty confusing game. Here are the rules of the game: The game is played with ...