To summarize, in this tutorial on the N-Queens problem, we explored the concept of backtracking and its application in solving the N-Queens problem. We learned how to recursively place queens on a chessboard and backtrack when a solution is not possible. Backtracking allowed us to efficiently explore the search space and find valid arrangements of queens. We also discussed the time and space complexity of the solution.

In conclusion, backtracking is a powerful technique for solving combinatorial problems like the N-Queens problem. It eliminates dead-end paths, prunes the search space, and leads to efficient and optimal solutions. By understanding the main concepts of backtracking and practicing with examples like the N-Queens problem, you can develop the skills to solve various challenging problems.

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#include <iostream>

using namespace std;

​

int main() {

  // Replace with your summary and conclusion

}