The N Queens problem is based on backtracking algorithms. This is a popular classic problem where the queen’s numbers had to be placed on an n x n matrix in such a way that no queen can attack another queen. In this article, I will take you through how to solve N Queens with C++.
What is Backtracking Algorithm?
For many real-world problems, the process of solving involves going through a sequence of decision points where each choice takes you further down a path. If you make the right set of choices, you end up with the solution.
On the other hand, if you hit a dead-end or find out that you made an incorrect choice somewhere along the way, you need to go back to a previous decision point and try a different path. The algorithms that use this approach are called backtracking algorithms.
N Queens with C++
N Queens is a very popular problem of backtracking algorithms in coding interviews. It was first proposed by German chess enthusiast Max Bezzel in 1848. The problem means to place n queens on an n x n chessboard so that no queens attack each other. For readers unfamiliar with the rules of chess, this means that there are not two queens in the same row, column, or diagonal.
The N Queens problem can be applied in many different areas, such as parallel memory storage schemes, VLSI testing, traffic control, and deadlock prevention. It is also applicable to find solutions to those problems which require permutations like the travelling salesman problem.
Solving N Queens with C++
Now let’s see how to solve the problem of N Queens with C++ programming language:
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