Python Program import itertools def calculate_distance(city1, city2): """ Calculate the distance between two cities. Parameters: city1 (tuple): Coordinates of the first city (x1, y1). city2 (tuple): Coordinates of the second…
Introduction A Hamiltonian cycle in a graph is a cycle that visits every vertex exactly once and returns to the starting vertex. The problem of finding a Hamiltonian cycle is…
The Knight’s Tour is a classic problem in which a knight must visit every square on a chessboard exactly once. The knight moves in an L-shape: two squares in one…
This document provides a complete implementation of a Sudoku solver using Python. The solver employs a backtracking algorithm to fill the Sudoku board efficiently. Program Structure Function Definition: The main…
The N-Queens problem is a classic algorithmic problem that involves placing N queens on an N×N chessboard so that no two queens threaten each other. This means that no two…
The power set of a given set is the set of all possible subsets, including the empty set and the set itself. For example, the power set of {1, 2}…
Program Explanation This Python program generates all possible combinations of a given set. A combination is a selection of items from a larger set, where the order of selection does…
Program Overview This Python program generates all permutations of a given string. A permutation of a string is a rearrangement of its characters. The program utilizes recursion to explore all…
Java Program public class GenerateParentheses { /** * Generates all valid combinations of n pairs of parentheses. * * @param n The number of pairs of parentheses. * @return A…
This Java program generates all subsets of a given array that sum to a specified target. The program uses a backtracking approach to explore all possible subsets. Program Explanation The…
Aditya Bhuyan