Objective The objective of this program is to generate all valid combinations of n pairs of parentheses. Valid combinations are those where each opening parenthesis ‘(‘ has a corresponding closing…
#include <iostream> #include <vector> #include <string> class ParenthesesGenerator { public: // Public method to initiate the generation process std::vector generateParenthesis(int n) { std::vector result; generate("", n, n, result); return result;…
Program Explanation This C++ program generates all subsets of a given array that sum to a specified target. The approach used is recursive backtracking, where we explore each element in…
Program Overview The Travelling Salesman Problem (TSP) is a classic optimization problem in computer science and operations research. It aims to find the shortest possible route that visits each city…
Program Explanation A Hamiltonian cycle is a cycle in a graph that visits every vertex exactly once and returns to the starting vertex. The following C++ program uses backtracking to…
The Knight’s Tour problem is a classic example of backtracking algorithms. The objective is to move a knight on a chessboard such that it visits every square exactly once. Program…
Program Structure This program utilizes a backtracking algorithm to solve Sudoku puzzles. It recursively attempts to place digits in the empty cells while checking for valid placements according to Sudoku…
The N-Queens problem is a classic algorithmic problem that consists of placing N chess queens on an N×N chessboard such that no two queens threaten each other. This means that…
Program Code #include <iostream> #include <vector> #include <set> #include <algorithm> using namespace std; /** * Generates the power set of a given set. * * @param set A vector containing…
Program Overview This C++ program generates all possible combinations of a given set of elements. The program uses a recursive backtracking approach to explore all combinations efficiently. Program Structure Function…
Aditya Bhuyan