new session-16 - Backtracking BACKTRACKING It is one of the...

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Backtracking
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BACKTRACKING It is one of the most general algorithm design techniques. Many problems which deal with searching for a set of solutions or for a optimal solution satisfying some constraints can be solved using the backtracking formulation. To apply backtracking method, tne desired solution must be expressible as an n-tuple (x1…xn) where xi is chosen from some finite set Si. The problem is to find a vector, which maximizes or minimizes a criterion function P(x1….xn). The major advantage of this method is, once we know that a partial vector (x1,…xi) will not lead to an optimal solution that (m i+1 ………..m n ) possible test vectors may be ignored entirely.
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n-Queens Problem A queen that is placed on an n x n chessboard, may attack any piece placed in the same column, row, or diagonal. 8x8 Chessboard
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4-Queens Problem Can n queens be placed on an n x n chessboard so that no queen may attack another queen?
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  • Winter '12
  • praveen
  • Backtracking, Eight queens puzzle, n-queens problem, possible test vectors

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