Explain various problem by using backtracking
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Backtracking is one of my favourite algorithms because of its simplicity and elegance; it doesn’t always have great performance, but the branch cutting part is really exciting and gives you the idea of progress while you code.
But let’s first start with a simple
But let’s first start with a simple
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Backtracking is a general algorithm for finding all (or some) solutions to some computational problems, notably
constraint satisfaction problems, that incrementally builds candidates to the solutions, and abandons a candidate ("backtracks") as soon as it determines that the candidate cannot possibly be completed to a valid solution.[1][2]
The classic textbook example of the use of backtracking is the
eight queens puzzle, that asks for all arrangements of eight
chess queens on a standard chessboard so that no queen attacks any other. In the common backtracking approach, the partial candidates are arrangements of k queens in the first k rows of the board, all in different rows and columns. Any partial solution that contains two mutually attacking queens can be abandoned.
constraint satisfaction problems, that incrementally builds candidates to the solutions, and abandons a candidate ("backtracks") as soon as it determines that the candidate cannot possibly be completed to a valid solution.[1][2]
The classic textbook example of the use of backtracking is the
eight queens puzzle, that asks for all arrangements of eight
chess queens on a standard chessboard so that no queen attacks any other. In the common backtracking approach, the partial candidates are arrangements of k queens in the first k rows of the board, all in different rows and columns. Any partial solution that contains two mutually attacking queens can be abandoned.
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