Dynamic Programming Techniques for 0-1 and Unbounded Knapsack Problems
Core Implementation Strategy
Resolving knapsack variations follows a structured pattern involving state definition, initialization, and recurrence relation formulation. The primary distinction lies in whether an item can be selected multiple times or only once.
Phase 1: 0-1 Knapsack Variant
In this scenario, each item is available exact once pe ...
Posted on Thu, 07 May 2026 11:23:34 +0000 by pradee
Finding the Longest Palindromic Substring Using Dynamic Programming
Given a string text, the objective is to locate longest contiguous substring that reads the same forward and backward.
Constraints:
1 <= text.length <= 1000
text consists of alphanumeric English characters only.
Dynamic Programming Approahc
1. State Definition
Define a 2D table is_palindrome[i][j] where i and j are indices. The value i ...
Posted on Thu, 07 May 2026 10:45:37 +0000 by Pnop