Find Longest Possible Route in a Matrix

Given a rectangular path in the form of binary matrix, find the length of longest possible route from source to destination position of the matrix by moving to only non-zero adjacent positions i.e. route can be formed from positions having their value as 1. Note there should not be any cycles in the output path.

Find Shortest Path in Maze

Given a maze in the form of the binary rectangular matrix, find length of the shortest path in maze from given source to given destination. The path can only be constructed out of cells having value 1 and at any given moment, we can only move one step in one of the four directions.

Magnet Puzzle

We are given set of bipolar magnets each domino-shaped. The objective is to place magnets on a M X N board which should meet a set of conditions where both N and M are not odd.

Print all possible solutions to N Queens problem

The N queens puzzle is the problem of placing N chess queens on an N × N chessboard so that no two queens threaten each other. Thus, a solution requires that no two queens share the same row, column, or diagonal.

Program to find n’th Fibonacci number

Write a program to calculate n’th Fibonacci number where n is a given positive number.   Fibonacci sequence is characterized by the fact that every number after the first two is the sum of the two preceding ones. For example, consider below sequence – 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, …

Tower of Hanoi Problem

Tower of Hanoi Problem

The Tower of Hanoi is a mathematical puzzle consisting of three rods and n disks of different sizes which can slide onto any rod.