Search⌘ K
AI Features

N-Queens II

Explore how to apply backtracking to count all valid arrangements of n queens on an n by n chessboard without conflicts. This lesson helps you understand the problem constraints, develop a clear strategy, and implement a backtracking solution efficiently.

Statement

Given an integer, n, representing the size of an n x n chessboard, return the number of distinct ways to place n queens so that no two queens attack each other. A queen can attack another queen if they are in the same row, column, or diagonal.

Constraints:

  • 11 \leq n 9\leq 9

Examples

Understand the problem

Let’s take a moment to make sure you’ve correctly understood the problem. The quiz below helps you check if you’re solving the correct problem:

N-Queens

1.

What is the correct solution to the 1-Queens problem?

A.

0

B.

1

C.

2

D.

4


1 / 5

Figure it out!

We have a game for you to play. Rearrange the logical building blocks to develop a clearer understanding of how to solve this problem.

Sequence - Vertical
Drag and drop the cards to rearrange them in the correct sequence.

1
2
3
4
5

Try it yourself

Implement your solution in solution.js in the following coding playground.

JavaScript
usercode > solution.js
function totalNQueens(n){
// Replace this placeholder return statement with your code
return -1
}
export {
totalNQueens
}
N-Queens II