# How to Approach the  8-Queen Problem?

### Problem Breakdown

Understand the challenge: Each queen threatens horizontally, vertically, and diagonally. The goal is to find all possible non-attacking placements.

# STEP- 1

Explore different approaches to solve  the N queens problem!

### Brute Force Approach

Explore the basic approach. Generate all possible configurations & check for conflicts. It's simple but inefficient for larger boards due to its exponential time complexity.

# STEP- 2

Explore different approaches to solve  the N queens problem!

Dive into the backtracking algorithm. Start placing queens one by one, backtrack when a conflict is found, and explore alternative paths.

# STEP- 3

Explore different approaches to solve  the N queens problem!

Get a glimpse of the pseudocode. Visualize the algorithm's structure and understand how it progresses through the board.

# STEP- 4

Explore different approaches to solve  the N queens problem!

Explore optimization techniques. Implement constraint propagation and pruning to reduce unnecessary exploration, enhancing efficiency.

# STEP- 5

Explore different approaches to solve  the N queens problem!

See solutions come to life. Visual representations of solutions help in grasping the algorithm's effectiveness.

# STEP- 6

Explore different approaches to solve  the N queens problem!

Understand time complexity. With proper optimizations, the backtracking approach can yield solutions in a reasonable time, but it remains exponential in the worst case.

# STEP- 7

Explore different approaches to solve  the N queens problem!

The 8-Queen problem assesses problem-solving skills, algorithmic thinking, & coding abilities, making it a common technical interview question.

# STEP- 8

Explore different approaches to solve  the N queens problem!

Learn about variations. The N-Queen problem involves placing N queens on an NxN board, offering more complexity and challenges.

# STEP- 9

Explore different approaches to solve  the N queens problem!