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Language/Type: Python recursion backtracking

Answer the following questions about the implementation of a recursive eight_queens function:

If an 8 Queens algorithm tried every possible square on the board for placing each queen, how many entries are there at the 8th and final level of its full decision tree?
(order shuffled)
What does a better algorithm do to avoid having to explore so many possibilities?
(order shuffled)
How do we make an 8 Queens exploration function that stops once it finds one solution to the problem?
(order shuffled)

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