N Queens Problem using Backtracking | Branch and Bound Algorithm Explained

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NADOS also enables doubt support, career opportunities and contests besides free of charge content for learning. This video presents an efficient approach to solve N queens problem. In this solution, we start with the placement of a queen in the first row of the chessboard along with bounding the placement of the next queen in the corresponding column and the two diagonals of the placed queen. This is achieved by creating a separate array for the columns, the normal diagonal and the reverse diagonal for each placed queen. In such a way, as each queen is placed, we simultaneously bound the placement of the next queen which is unsafe.

Each queen is placed or backtracked such that N queens are placed in the chessboard in each row so that all the queens are safe from the other placed queens. Backtracking is also used to make sure that a queen is placed at the perfect position in each row.

We have also discussed another approach to solve the N queens problems which is discussed here: https://youtu.be/05y82cP3bJo

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