new session-17 - Backtracking Backtracking Eight Queens...

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Backtracking
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Backtracking : Eight Queens problem Given N x N chessboard, find a way to place N queens on chessboard such that none of the queen can attack other. A queen can move along the column, row and diagonal of the chess board. Analysis This is typical example of backtracking algorithm. So before solving this problem, first understand what is backtracking. Backtracking a problem solving approach which is closest to the brute force method. In this, we explore each path which may lead to solution, taking one decision at a time and as soon as we find that the path which selected does not lead to solution, we go back to the place where we tool most recent decision. At that place, we will explore other opportunities to go to different path, if available. If there are no option available, we go back further. We go back till the time we find alternate path to be followed or at the start. If we reach to start without finding any path reaching to solution, then there is no solution present, else we would have found it following one of the paths.
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8 queens problem Backtracking is depth first traversal of path in graph where nodes are states of the solution and edge are between two states of solution only if one state can be reached from another state.
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  • Winter '12
  • praveen
  • Backtracking, Eight queens puzzle, Brute-force search, Queens Problem, Fixed- sized tuple

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