8 Queen Problem Solution: Step-by-Step

This page provides a step-by-step solution to the 8 queen problem, with diagrams and clear explanations. By following each move, you'll understand the logic and strategy behind solving this classic chess puzzle.

Step 1: Place the First Queen

Start by placing the first queen in the first row and first column. This is an arbitrary choice, but it sets the stage for the rest of the solution.

Step 2: Place the Next Queen Safely

Move to the second row and find a column where the queen is not threatened by the first queen. Continue this process for each subsequent row, always checking for conflicts.

Step 3: Backtrack When Stuck

If you reach a row where no safe column is available, backtrack to the previous row and move the queen to the next possible column. This is the essence of the backtracking algorithm.

Step 4: Complete the Solution

Repeat the process until all eight queens are placed on the board. If you reach the last row and place the final queen safely, you have found a valid solution!

Visual Example

Below is a visual representation of a valid 8 queen solution. Each Q represents a queen, and empty squares are safe positions:

Q . . . . . . .
. . . . Q . . .
. . . . . . . Q
. . . Q . . . .
. . . . . Q . .
. Q . . . . . .
. . . . . . Q .
. . Q . . . . .

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