Leetcode Problem 52. N-Queens II

52. N-Queens II

Leetcode Solutions

Initialize three sets to keep track of columns, diagonals, and anti-diagonals where queens have been placed.
Define a recursive function backtrack that takes the current row and the sets as arguments.
If the current row is greater than n, a solution has been found; return 1.
Initialize a local variable solutions to 0.
Iterate through the columns of the current row and attempt to place a queen.
Calculate the diagonal and anti-diagonal indices for the current position.
If the current column, diagonal, and anti-diagonal are not threatened, place the queen and update the sets.
Call backtrack recursively with the next row.
After exploring all valid positions for the current queen, backtrack by removing the queen from the sets.
Sum up all the solutions found and return the total count.

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