More Problems

• Design an algorithm to solve the minimum-cost path problem where you can move diagonally, down, or right through a grid, and the traversal costs vary for each cell. Optimize the algorithm for large grids.
• You are given a set of events with start and end times, some of which may overlap. Design an algorithm to select the maximum number of non-overlapping events while considering priorities and event importance.
• Given a knapsack problem where the capacity changes dynamically based on the items already selected, design a Greedy approach to maximize the total value under these constraints.
• You are given an array of stock prices where you are allowed to perform unlimited transactions but can only hold one stock at a time. Implement an algorithm to maximize profit while considering transaction costs.
• Design an algorithm to maximize the total weight of items that can be loaded into a vehicle, considering the varying distances and road conditions between multiple delivery destinations.
• Given a weighted directed graph where you can traverse from node A to node B with certain constraints, design a Greedy algorithm to find the path that maximizes the collected rewards along the way.
• You are tasked with scheduling jobs on multiple machines where each job has a different processing time and priority. Implement a Greedy algorithm that minimizes the makespan (maximum time a machine will take to complete all jobs assigned to it).
• Design a Greedy algorithm to solve the fractional knapsack problem, where items are added to a knapsack in such a way that the weight distribution is optimal under varying weight constraints.