As soon as we started programming, we found to our surprise that it wasn’t as easy to get programs right as we had thought. Debugging had to be discovered. I can remember the exact instant when I realized that a large part of my life from then on was going to be spent in finding mistakes in my own programs. Maurice Wilkes
The eight queen’s puzzle is the problem of placing eight chess queens on an 8 x 8 chessboard so that no two queens threaten each other. Thus, a solution requires that no two queens share the same row, column, or diagonal.
Backtracking eliminates or avoids the partial candidate solutions as soon as it finds that that path cannot lead to a solution. We are given 4 x 4 chessboard and we need to place 4 queens in non-attacking places on this board.
Solution for 4 Queen Problem * Q * * * * * Q Q * * * * * Q * * * Q * Q * * * * * * Q * Q * *