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What does "backtracking" involve in the context of solving the 8-Queen's problem?2 pointsPlacing queens on the board one by one and removing them if a conflict arisesTrying different combinations of queen placements and undoing choices that lead to conflictsStarting from the last queen placed and removing it if a conflict arisesMoving queens back and forth on the board until a solution is found

Question

What does "backtracking" involve in the context of solving the 8-Queen's problem?2 pointsPlacing queens on the board one by one and removing them if a conflict arisesTrying different combinations of queen placements and undoing choices that lead to conflictsStarting from the last queen placed and removing it if a conflict arisesMoving queens back and forth on the board until a solution is found

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Solution

Backtracking in the context of solving the 8-Queen's problem involves placing queens on the board one by one and removing them if a conflict arises. This method also involves trying different combinations of queen placements and undoing choices that lead to conflicts. If a conflict arises, the process starts from the last queen placed and removes it. The process does not involve moving queens back and forth on the board until a solution is found. Instead, it systematically places and removes queens to find a solution.

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Backtracking is a fundamental principle in the field of Design and Analysis of Algorithms (DAA). It is a technique used to solve problems by incrementally building a solution and, if at some point, it is determined that the current path cannot lead to a valid solution, the algorithm backtracks to a previous step and explores alternative paths. Backtracking is typically used in problems where you need to find all possible solutions or a specific solution that satisfies certain constraints, such as the N-Queens problem, Sudoku, or graph coloring. The algorithm explores different options, undoing its choices when necessary, and effectively "backtracks" to explore other possibilities until a valid solution is found or all possibilities are exhausted.It is a recursive approach that explores a search tree of possible solutions, discarding branches that are guaranteed not to lead to a valid solution, thus saving computation time.

How many solutions are there for 8 queens on 8*8 board?

1/2

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