GREEDY METHOD
UNIT :3 - THE GREEDY METHOD Knapsack Problem, Minimum Cost Spanning Tree, Single Source Shortest Path THE GENERAL METHOD The Greedy Method is a problem-solving approach used in designing algorithms. It works by making a series of choices, each of which is the best choice at the moment, with the hope that these local choices will lead to the global optimal solution. Key Steps in the Greedy Method: 1. Initialization: Start with an empty or initial solution. 2. Selection: At each step, choose the option that looks best. 3. Feasibility Check: Ensure that the choice is valid and keeps the solution feasible. 4. Repeat: Continue until the problem is solved or all choices are exhausted. When does the Greedy Method work? The greedy method works if the problem satisfies the Greedy-Choice Property (local optimal choices lead to a global optimum) and Optimal Substructure (optimal solutions to subproblems combine to form an optimal solution to the whole problem). KNAPSACK...