Importance of Dynamic Programming (DP) on Grids

Idea behind Dynamic Programming (DP) on Grids:

1. Defining the state:...

Importance of Dynamic Programming (DP) on Grids:

Grid problems often exhibit overlapping subproblems. This means that the optimal solution for a larger problem depends on the solutions to smaller subproblems within the grid. A naive approach would involve calculating the solutions for each cell independently, leading to significant redundancy and inefficiency. Whereas DP uses the overlapping subproblems property by storing solutions to previously encountered subproblems, significantly reducing the number of repeated calculations and leading to a more efficient solution....

Use Cases of Dynamic Programming (DP) on Grids:

1. Count number of Paths from the Top-Left Cell to the Bottom-Right cell of the grid:...

Practice Problems on Dynamic Programming (DP) on Grids:

Problem Problem Link Paths to reach origin Practice Now Count all possible paths from top left to bottom right Practice Now Maximum sum Rectangle Practice Now Number of Unique Paths Practice Now Largest Square formed in a Matrix Practice Now Unique Paths in a Grid Practice Now Special Matrix Practice Now Number of paths in a matrix with k coins Practice Now Knight in Geekland Practice Now Adventure in a Maze Practice Now Number of Palindromic paths in a Matrix Practice Now Triangle Path Sum Practice Now Broken Blocks Practice Now Largest subsquare surrounded by X Practice Now Chocolates Pickup Practice Now Largest rectangular sub-matrix whose sum is 0 Practice Now Max rectangle Practice Now Maximizing Chocolates in Grid (Chocolates Pickup II) Practice Now...