Solve N Queens with backtracking

Short summary

Solve the N Queens problem using backtracking by placing one queen per column and checking whether each position is safe regarding row, column, and diagonal conflicts. If safe, place the queen and recurse; otherwise, backtrack and try the next row. This algorithm reduces time complexity from O(N^N) brute force to O(N!) by eliminating invalid search paths early through constraint validation.

• •Place queens one column at a time to reduce search space
• •Check row, column, and diagonal safety before placing each queen
• •Backtrack on conflicts to explore alternative paths efficiently

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