# Questions tagged [dynamic-programming]

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

233 questions
Filter by
Sorted by
Tagged with
99 views

### Optimal way to annihilate a list by removing items from the ends

I'm stuck with a contest problem. Description: What is the minimum number of moves to annihilate an int array where the possible moves are: Remove both the first and last elements if they are equal ...
97 views

### Making operations more dynamic

I am trying to build something that will allow us to configure "custom" validation for each customer. So if a customer wants to see a value contain a specific char, be specific length, or equal ...
214 views

### NGON (many polygons) on SPOJ

I am trying to solve NGON problem. I am using bottom up dynamic programming here. Recurrence function is: \begin{array}{rl} f(a,b) &= f(a-1,b) + f(a-1,b-1)\,a_i +\frac{f(a-1,b-2)\,a_i(a_i-1)...
523 views

### Three-machine proportionate flow shop problem with unequal machine

As part of an academic project I wrote a code about dynamic programming that solves the "Three-machine proportionate flow shop problem with unequal machine". In flow shop scheduling it is usually ...
2k views

### Minimum number of coins - (dynamic programming solution - topdown approach)

This is a problem from topcoder tutorials Given a list of N coins, their values (V1, V2, ... , VN), and the total sum S. Find the minimum number of coins the sum of which is S (we can use as many ...
3k views

### Project Euler #14 — longest Collatz sequence

I was reading this question and realized that I didn't know Python well enough to critique the algorithm. So I wrote a Java solution instead, which is inappropriate for that question. Since there's ...
160 views

### Reading, processing and counting an array setting limits

Last weekend my teacher asked me to create code to solve a problem: Giving a dynamic array, we want to pass the array elements from a file. The first number in the file N gives us the array length. ...
252 views

### Returning all the LIS of given array of int

I have this assignment where I'm supposed to code an algorithm for finding the quantity of Longest Increasing Subsequences from an array of (different) integers and print them all. I developed one ...
2k views

### Solving the rod-cutting problem using dynamic programming

I've written what I believe is a valid dynamic programming solution to a variation of the rod cutting problem. In this problem, the goal is to make as few cuts as possible on a rod of length n. I ...
3k views

### Project Euler 81 (minimum path sum through a matrix)

Problem Statement: In the 5 by 5 matrix below, 131 673 234 103 18 201 96 342 965 150 630 803 746 422 111 537 699 497 121 956 805 732 524 37 331 ...
2k views

### DP algorithm to find minimum average wait for customer-serving system

Below is the code to find the minimum average waiting time for customers at a store. I want improve the time complexity of the code. As an overview of the logic, I start from ...
4k views

### Longest collatz sequence using dynamic programming

I am trying to solve longest collatz sequence problem under 1000000 with the below code. Can anyone suggest a faster way to approach this problem? I was thinking of dynamic programming, but I'm ...
1k views

### Calculate possible balances in piggy-bank by weight

I have solved Piggy-Bank problem on SPOJ using dynamic programming. The question asks you to get the minimum value that is possible with given weight ($w$) and one or more coins ($n$) with given ...
786 views

### Optimizing a dynamic programming solution for “Oil Well”

I'm trying to solve the Oil Well problem on Hackerrank using dynamic programming and it works. However, it times out for some of the test cases. I wanted to know how this program can be improved so ...
1k views

### Coin problem through brute force

I have some code that will brute force solve the following problem: Given a set of x coins and a target sum to reach, what is the fewest number of coins required to reach that target? The code so ...
872 views

### Word break problem with dynamic programming

This is the original question. I have implemented it in both ways. If I enter the word "icecream", should I output "ice" "cream" and also "icecream", or just "ice" and "cream"? Is this a good ...
211 views

### Memoization for calculating minimal traversal distance within a positive matrix

The code below is for calculating the minimal traversing distance from the top left point of the matrix to the bottom right point of the matrix. GitHub Here is the core functionality. Please note ...
455 views

### Google CodeJam Round D APAC Test

Problem A: Vincenzo decides to make cube IV but only has the budget to make a square maze. Its a perfect maze, every room is in the form of a square and there are 4 doors (1 on each side of the ...
454 views

### Handling shared state among a lot of elements in Angular

I am working on a project in Angular where I have a number of similar data objects. When you click on anyone of them it's state and amount of data shown will change. All of the objects start in the ...
704 views

### Longest Common Subsequence and Longest Subsequence Palindrome

The following code computes: The longest common subsequence between two strings, where a subsequence of a sequence does not have to consist of contiguous elements of the sequence. The longest ...
7k views

### Dynamic programming with Fibonacci

I have written the following code using a dynamic programming technique. Can I use ArrayList here? Please let me know if I can improve this code. ...
4k views

### Optimizing O(m n) solution for longest common subsequence challenge

Given two strings string X of length x1 and string Y of length ...
2k views

### Substitution cipher algorithm performance boost

This algorithm is meant to read a string of numbers on an input, a naive substitution cipher code (A = 1, B = 2, ..., Z = 26) and output the number of ways the code could be interpreted (e.g. 25114 ...
410 views

### Calculating the number of prime numbers to solve the puzzle

How can the following program execution time improved? I have used dynamic programming in both "recursive" as well as "prime" function, but I'm not getting the efficient execution time. There is a ...
786 views

### Determine if subset in int array adds up to a given input integer

Given a set of non-negative integers, and a value sum, determine if there is a subset of the given set with sum equal to given sum. On similar lines, Partition problem is to determine whether a given ...
667 views

### The Three-machine proportionate flow shop problem with unequal machine

As part of an Academic project I wrote the following code, according to the algorithm (verbal). When I checked the rest of the article I notice that the efficiency should be $O(n^2)$ and I wrote \\$...
409 views

### Dynamic programming with Project Euler #18

I just wanted to get an opinion on my dynamic-programming Haskell implementation of the solution to Project Euler problem 18. The Problem: By starting at the top of the triangle below and moving ...
1k views

### Optimizing “Herd Sums” problem using dynamic programming

I'm trying to solve a practice problem and all is well except for the last 2 inputs my solution is too slow. Just one loop is slowing it down I think. Herd Sums Execution Time Limit: 2 seconds ...
1k views

### Assembly line scheduling

This is solution to the assembly line problem. Here is complete description, which is too big and verbose to re-describe. I apologize for the inconvenience of the hyperlink. Note: I do understand ...
3k views

### Jump game in Java

Looking for code review, suggestions for improvement, best practices etc. The problem definiton is Jump Game Given an array start from the first element and reach the last by jumping. The ...
1k views

### MaxSum sub matrix within a matrix

Code review for best practices, optimizations, code cleanup etc. Also requesting verification of the complexity: O(row*row*col). ...