Dynamic Programming Path Problems: From Grid Traversal to Minimum Health Requirements
A robot starts at the top-left corner of an m × n grid and must reach the bottom-right corner. It can only move right or down. How many distinct paths exist?
Use dynamic programming where dp[i][j] reprseents the number of ways to reach cell (i, j) from the origin.
Transition: dp[i][j] = dp[i-1][j] + dp[i][j-1]
Base case: Initialize dp[0][1] = 1 ...
Posted on Sat, 26 Sep 2026 16:23:47 +0000 by leoden