A magic square of order n is an arrangement of the numbers from 1 to n...

 

Transcribed Image Text:

A magic square of order n is an arrangement of the numbers from 1 to n in an n-by-n matrix, with each number occurring exactly once, so that each row, each column, and each main diagonal has the same sum. Design an exhaustive search algorithm for generating all magic squares of order n. [CLO2.1, S1, 1 Mark] The example of magic squares of order 3 and order 4 are: [49 21 3 5 7 [7 12 1 141 2 13 8 11 16 3 10 5 18 1 6 96 15 4 If you see the above magic square, you will find sum of each row, sum of each column, sum of the two main diagonals are equal to You can explain the steps without generating code. Answer: n(n+1) 2 Activate Window Go to Settings to activ A magic square of order n is an arrangement of the numbers from 1 to n in an n-by-n matrix, with each number occurring exactly once, so that each row, each column, and each main diagonal has the same sum. Design an exhaustive search algorithm for generating all magic squares of order n. [CLO2.1, S1, 1 Mark] The example of magic squares of order 3 and order 4 are: [49 21 3 5 7 [7 12 1 141 2 13 8 11 16 3 10 5 18 1 6 96 15 4 If you see the above magic square, you will find sum of each row, sum of each column, sum of the two main diagonals are equal to You can explain the steps without generating code. Answer: n(n+1) 2 Activate Window Go to Settings to activ