Dynamic Programming Archives

Finding the Actual Longest Common Subsequence from Dynamic Programming Table

It aims to find the longest subsequence present in both input sequences, where a subsequence is a sequence that appears in the same relative order but not necessarily consecutively.

Dynamic Programming

Finding Permutations that Form the Sum | Coin Change Permutation

Find the number of permutations to form the target sum using the elements of the given array, with repetition allowed.

Competitive Programming, Dynamic Programming

Travelling Salesman Problem using Held-Karp Algorithm | Dynamic Programming

The Held-Karp algorithm is an efficient dynamic programming approach for solving the Travelling Salesman Problem (TSP). The algorithm builds up a table to store the optimal cost of visiting subsets of cities.

Algorithms, Dynamic Programming, Graphs

Bellman-Ford Algorithm | Single source shortest path

This algorithm uses Relaxation, to find the shortest path between the source vertex and other vertices. It gradually expands the search space until the shortest path to the destination node is found.

Algorithms, Dynamic Programming, Graphs

Coin Change II – LeetCode Solution [Medium]

You are given an integer array coins representing coins and an integer amount. Return the number of combinations that make up that amount.

Arrays, Competitive Programming, Dynamic Programming

Coin Change – LeetCode Solution [Medium]

You are given an integer vector coins[n] representing coins of different denominations and an integer amount representing a total amount of money.

Arrays, Competitive Programming, Dynamic Programming

Floyd-Warshall Algorithm Implementation | All pairs shortest path

Floyd-Warshall algorithm helps in finding the shortest path between all pairs of vertices in a graph.

Algorithms, Dynamic Programming, Graphs

Lucy and Flowers | HackerRank Solution [Medium]

The number of possible Binary Search Trees with n keys is Catalan Number (Cn). You could learn about Catalan Number & Binomial Coefficient.

Competitive Programming, Dynamic Programming, Mathematics

Program for Nth Catalan Number

Catalan numbers (Cn) are a sequence of natural numbers. Nth Catalan number has applications in many counting problems.

Competitive Programming, Dynamic Programming, Mathematics

How to calculate Binomial Coefficient (nCr) in O(r) time complexity

The recomputations in calculating binomial coefficient (nCr) can be avoided by exploiting optimal substructure and overlapping subproblems

Competitive Programming, Dynamic Programming, Mathematics