If you love playing chess, you'll enjoy learning about the N-queens problem. It is a good problem to understand backtracking. In backtracking, we start with one possible move out of many available moves. We then try to solve the problem. If we are able to solve the problem with the selected move then we will print the solution. Else we will backtrack and select some other move and try to solve it.

If you love playing chess, you’ll enjoy learning about the N-queens problem. It is a good problem to understand backtracking.

In backtracking, we start with one possible move out of many available moves. We then try to solve the problem.

If we are able to solve the problem with the selected move then we will print the solution. Else we will backtrack and select some other move and try to solve it.

If none of the moves works out we claim that there is no solution for the problem.

`How can N queens be placed on an NxN chessboard so that no two of them attack each other?`

This problem is commonly seen for N=4 and N=8.

Let’s look at an example where **N=4**

Before solving the problem, you need to know about the movement of the queen in chess.

A queen can move any number of steps in any direction. The only constraint is that it can’t change its direction while it’s moving.

One thing that is clear by looking at the queen’s movement is that no two queens can be in the same row or column.

That allows us to place only one queen in each row and each column.

When **N=4**, the solution looks like :

Queen Solution

But how do we get this arrangement?

data structure and algorithms c++ java cplusplus programming-c

Simpliv is aware that the animated, visual and spatial way is the best means to learn data structures and algorithms. This is why Simpliv’s course on data structures and algorithms is visual, adding fun and interactivity into your learning.

Data Structure in C | Data Structures and Algorithms: Array, Linked List, Stack, Queue, Binary Tree and Binary Search Tree, Heap, Hashing, Graph. C is a very flexible and well-established language thus making it the mother of all programming languages. Many programs, libraries, operating systems etc are implemented in C

C vs C++ vs Java | Difference Between C, C++ & Java: will provide you the major differences between C, C++, and Java programming languages after watching this video you will be capable to understand their functionalities and capabilities a much better way.

C Language is an evergreen language and is used widely across different industries, This C programming is a must for students and working professionals to become a great Software Engineer especially when they are working in Software Development Domain. Great Learning brings you this live session on "Introduction to C". In this live session, we will be covering major concepts in C Programming such as Different Variables, Different Data Types that are being used, its Operators, Flow control statements, Structure, and lot more.

Great Learning brings you this live session on "Data Structures and Algorithms in Java". In this session, we cover the concept of data structures followed by understanding its different types. The session begins with the discussion of linear data structure - Array, its implementation, application, advantages and disadvantages. Post this, we will look at Linked List, Stack, and Queue along with their implementations, applications, advantages and disadvantages. In this session, you will also learn about a couple of Searching Algorithms such as Linear Search and Binary Search, along with their algorithms, implementation and analysis based on time and space complexity. We will also be discussing basic sorting algorithms such as Bubble Sort, etc. Finally, we will take you through the concept of the Divide and Conquer approach wherein you will learn about Merge Sort, its algorithm along with a demonstration, its implementation and analysis based on time complexity, space complexity, number of comparisons, etc. and we will also analyse it in terms of the Divide and Conquer paradigm.