Python Program to Solve the 0/1 Knapsack Problem
Aditya Bhuyan Problem Statement The 0/1 Knapsack Problem is a classic optimization problem where the goal is to determine the maximum value that can be obtained by selecting items with given weights…
September 2024
Python Program to Find the Longest Common Subsequence
Problem Statement The Longest Common Subsequence (LCS) problem is about finding the longest subsequence that is common to two sequences. A subsequence is a sequence that appears in the same…
Python Program to Find the Optimal Way to Multiply a Chain of Matrices
Problem Statement Given a chain of matrices, we need to determine the most efficient way to multiply these matrices together. The task is to find the minimum number of scalar…
Python Program to Find the Largest Square Containing Only 1s in a Binary Matrix
Python Program to Find the Largest Square Containing Only 1s in a Binary Matrix Problem Statement Given a binary matrix (a matrix with only 0s and 1s), the task is…
Java Program to Implement the Fibonacci Sequence using Dynamic Programming
This Java program computes the Fibonacci sequence using dynamic programming. The Fibonacci sequence is defined by the recurrence relation: F(n) = F(n-1) + F(n-2) with base cases F(0) = 0…
Java Program to Find the Optimal Way to Multiply a Chain of Matrices
This Java program solves the Matrix Chain Multiplication problem using dynamic programming. The goal is to find the optimal way to multiply a chain of matrices such that the number…
Java Program to Find the Longest Palindromic Subsequence in a String
This Java program solves the problem of finding the longest palindromic subsequence in a given string using dynamic programming. The goal is to compute the length of the longest subsequence…
Java Program to Maximize Profit by Cutting a Rod
This Java program solves the rod cutting problem using dynamic programming. The goal is to maximize profit by cutting a rod of a given length into pieces, with each piece…
Java Program to Determine if a Subset with a Given Sum Exists
This Java program solves the subset sum problem using dynamic programming. The goal is to determine whether a subset of a given set of integers can sum up to a…
Java Program to Calculate the Minimum Edit Distance Between Two Strings
This Java program solves the minimum edit distance problem, also known as the Levenshtein distance problem, using dynamic programming. The goal is to compute the minimum number of operations required…
