Backtracking & Recursion Archives

Tower of Hanoi | Recursion using Mathematical Induction

The Tower of Hanoi is a mathematical puzzle (game) consisting of three rods and a number of disks.
The objective of the puzzle is to move all the disks from the first rod (A) to the next rod (B) using the auxiliary rod (C).

Backtracking & Recursion

Rat in the maze

Given a NxN matrix with 0s and 1s. A block with value 0 is a dead end, we cannot use this block to move ahead. While a block with value 1 can be used to travel ahead in the matrix. Now, consider mat[0][0] as the starting point for the rat. We have to verify, if there exists a path in the matrix for the rat to reach the end.

Backtracking & Recursion, Competitive Programming

Multiset Partitioning Problem

The number of possible partition of a set of n elements is B(n) known as Bell number. As we know, this problem is NP-Complete i.e. it has non-polynomial time solution.

Backtracking & Recursion, Mathematics

N Queen Problem Analysis

The N Queen is the problem of placing N chess queens on an N×N chessboard so that no two queens attack each other.

Backtracking & Recursion

Backtracking

Backtracking is a general algorithm for finding solutions to some computational problems, that incrementally builds candidates to the solutions, and abandons a candidate (“backtracks”) as soon as it determines that the candidate cannot possibly be completed to a valid solution.

Backtracking & Recursion