We would like to place n queens on an n x n chessboard, therefore no queen could ever take any of the other n queens. The brute-force algorithm has poor characteristics, so we want you to design a more efficient one. Input: you are given the size n such that n > 4 Output: return a 2D binary matrix whose dimension is n x n that represents the chessboard. A value of 1 means there is a queen in such position. Example: [o 1 0 0] 0 0 0 1 1 0 0 0 0 0 1 0
We would like to place n queens on an n x n chessboard, therefore no queen could ever take any of the other n queens. The brute-force algorithm has poor characteristics, so we want you to design a more efficient one. Input: you are given the size n such that n > 4 Output: return a 2D binary matrix whose dimension is n x n that represents the chessboard. A value of 1 means there is a queen in such position. Example: [o 1 0 0] 0 0 0 1 1 0 0 0 0 0 1 0
Computer Networking: A Top-Down Approach (7th Edition)
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Solve using Python
![Problem: N-Queens
We would like to place n queens on an n x n chessboard, therefore no queen could ever
take any of the other n queens. The brute-force algorithm has poor characteristics, so we
want you to design a more efficient one.
Input:
you are given the size n such that n > 4
Output:
return a 2D binary matrix whose dimension is n xn that represents the chessboard.
A value of 1 means there is a queen in such position.
Example:
[o 1 0 0]
0 0 0 1
1 0 0 0
0 0 1 0
Requirements:
i) develop a python function that implements your efficient, correct algorithm
ii) empirically, test your function while varying the chessboard size, n, to have an
intuition over the complexity of your algorithm.
iii) show the complexity analysis of your algorithm, theoretically, from the perspective
of space and time.
iv) write a function to visualize your solution, graphically.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F474416d1-7beb-486e-ac82-4a6448e7f187%2Ff2927bb8-8d5c-434c-b9d6-d562e0af2e97%2F8alxldb_processed.png&w=3840&q=75)
Transcribed Image Text:Problem: N-Queens
We would like to place n queens on an n x n chessboard, therefore no queen could ever
take any of the other n queens. The brute-force algorithm has poor characteristics, so we
want you to design a more efficient one.
Input:
you are given the size n such that n > 4
Output:
return a 2D binary matrix whose dimension is n xn that represents the chessboard.
A value of 1 means there is a queen in such position.
Example:
[o 1 0 0]
0 0 0 1
1 0 0 0
0 0 1 0
Requirements:
i) develop a python function that implements your efficient, correct algorithm
ii) empirically, test your function while varying the chessboard size, n, to have an
intuition over the complexity of your algorithm.
iii) show the complexity analysis of your algorithm, theoretically, from the perspective
of space and time.
iv) write a function to visualize your solution, graphically.
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