Contents

- 1 Which algorithm is used to solve N queens?
- 2 Which of the following is the solution of 8 queen problem?
- 3 How to print all solutions in N-Queen problem?
- 4 How to find solution to n-queens problem in Java?
- 5 What is the solution to the n queens puzzle?
- 6 How to calculate the number of solutions for the queens problem?

## Which algorithm is used to solve N queens?

Let us discuss N Queen as another example problem that can be solved using Backtracking. The N Queen is the problem of placing N chess queens on an N×N chessboard so that no two queens attack each other. For example, following is a solution for 4 Queen problem.

## Which of the following is the solution of 8 queen problem?

Solutions. The eight queens puzzle has 92 distinct solutions. Of the 12 fundamental solutions to the problem with eight queens on an 8×8 board, exactly one (solution 12 below) is equal to its own 180° rotation, and none is equal to its 90° rotation; thus, the number of distinct solutions is 11×8 + 1×4 = 92.

## How to print all solutions in N-Queen problem?

1) Start in the leftmost column 2) If all queens are placed return true 3) Try all rows in the current column. Do following for every tried row. a) If the queen can be placed safely in this row then mark this [row, column] as part of the solution and recursively check if placing queen here leads to a solution.

## How to find solution to n-queens problem in Java?

Start with the first column. If all columns are complete, we find one solution. For each row in the column check if the current position is safe or not. If the position is safe, place the queen in the row and proceed to the next column.

## What is the solution to the n queens puzzle?

The N–queens puzzle is the problem of placing N chess queens on an N × N chessboard so that no two queens threaten each other. Thus, the solution requires that no two queens share the same row, column, or diagonal. For example, for a standard 8 × 8 chessboard, below is one such configuration:

## How to calculate the number of solutions for the queens problem?

Total Solutions = Unique Solutions X 8. If first queen is inside. If 90-degree rotation is same pattern as the original. Total Solutions = Unique Solutions X 2. Else if 180-degree rotation is same pattern as the original. Total Solutions = Unique Solutions X 4. Else Total Solutions = Unique Solutions X 8. 4. Completed Source code