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Problem Statement:

The n-queens puzzle is the problem of placing n queens on an n x n chessboard such that no two queens attack each other.
Given an integer n, return the number of distinct solutions to the n-queens puzzle.

Example 1:
Input: n = 4
Output: 2

Explanation: There are two distinct solutions to the 4-queens puzzle as shown.

Example 2:
Input: n = 1
Output: 1


  • NOTE: I highly recommend going through the Backtracking chapters in the order they are given in the Index page to get the most out of it and be able to build a rock-solid understanding.

The solution for this problem is totally based off of our solution for N-Queens. So please go through the chapter N-Queens and try to solve for this problem yourself before looking at the solution below.

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Don't forget to take an in-depth look at the other backtracking problems in the below link, because that is what would make you comfortable with using the backtracking template and master the art of Backtracking and be an over-achiever:

The above content is written by:

Abhishek Dey

Abhishek Dey

A Visionary Software Engineer With A Mission To Empower Every Person & Every Organization On The Planet To Achieve More

Microsoft | University of Florida

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