Problems Involving Grids - 1
Explore how to solve minimum-cost path problems in grid matrices using dynamic programming. This lesson helps you understand how to compute costs by moving only right or down, apply recurrence relations, and implement memoization to efficiently find the optimal path.
We'll cover the following...
Problem statement
We are going to start from the simplest problems based on Grids and move on to more complex grid problems in subsequent lessons. The problem in this lesson tries to solve the following type of question:
Finding Minimum-Cost Path in a 2-D Matrix
The problem statement is:
Given a cost matrix cost[][], where cost[i][j] denotes the cost of visiting cell with coordinates
(i,j), find a min-cost path to reach a cell (x,y) from cell (0,0) under the condition that you can only
travel one step right or one step down. (Assume that ...