Table of Contents
- 1 Which of the following methods can be used to solve n-queens problem?
- 2 Does n queen problem involve backtracking?
- 3 Which type of algorithm is used to solve the 8 queens problem?
- 4 What is the best method to go for the game playing problem?
- 5 How many possible sequences are there to investigate in the complete state formulation for n queens problem?
- 6 How many fundamental solutions are there for the eight queens puzzle?
- 7 What are the n-queens’ placement of the solutions in chess?
- 8 Does backtracking solve the problem but not always solve it?
Which of the following methods can be used to solve n-queens problem?
6. Which of the following methods can be used to solve n-queen’s problem? Explanation: Of the following given approaches, n-queens problem can be solved using backtracking. It can also be solved using branch and bound.
Does n queen problem involve backtracking?
Explanation: Knight tour problem, N Queen problem and M coloring problem involve backtracking. Tower of hanoi uses simple recursion.
How many solutions are there for the n queen problem?
It has long been known that there are 92 solutions to the problem. Of these 92, there are 12 distinct patterns. All of the 92 solutions can be transformed into one of these 12 unique patterns using rotations and reflections.
Which type of algorithm is used to solve the 8 queens problem?
Backtracking algorithm is used to solve the 8 Queens problem.
What is the best method to go for the game playing problem?
Discussion Forum
Que. | Which is the best way to go for Game playing problem? |
---|---|
b. | Heuristic approach |
c. | Random approach |
d. | An Optimal approach |
Answer:Heuristic approach |
Which of the following problem Cannot be solved by backtracking method?
Which of the problems cannot be solved by backtracking method? Explanation: N-queen problem, subset sum problem, Hamiltonian circuit problems can be solved by backtracking method whereas travelling salesman problem is solved by Branch and bound method.
How many possible sequences are there to investigate in the complete state formulation for n queens problem?
The complete-state formulation starts with all 8 queens on the board and moves them around until a solution is found. In this formulation, we have 648 possible sequences to investigate.
How many fundamental solutions are there for the eight queens puzzle?
12 fundamental solutions
For 8*8 chess board with 8 queens there are total of 12 fundamental solutions for the puzzle.
What is the N Queen problem?
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. The expected output is a binary matrix which has 1s for the blocks where queens are placed. For example, following is the output matrix for above 4 queen solution.
What are the n-queens’ placement of the solutions in chess?
Each solution contains distinct board configurations of the N-queens’ placement, where the solutions are a permutation of [1,2,3..n] in increasing order, here the number in the ith place denotes that the ith-column queen is placed in the row with that number. For the example above solution is written as [ [2 4 1 3 ] [3 1 4 2 ]].
Does backtracking solve the problem but not always solve it?
Take note that even tough backtracking solves the problem but yet it doesn’t always give us a great running time. For example, you will see factorial running time in many cases with backtracking but yet we can use it to solve problems with small size (like most of the puzzles).
How many times does the for loop in the N-Queen function run?
The for loop in the N-QUEEN function is running from 1 to N (N, not n. N is fixed and n is the size of the problem i.e., the number of queens left) but the recursive call of N-QUEEN (row+1, n-1, N, board) ( T (n−1) T ( n − 1)) is not going to run N times because it will run only for the safe cells.