A magic square is a square array of non-negative integers where the sums of the numbers on each row, each column, and both main diagonals
A magic square is a square array of non-negative integers where the sums of the numbers on each row, each column, and both main diagonals are the same. An N × N occult square is a magic square with N rows and N columns with additional constraints: • The integers in the square are between 0 and N, inclusive. • For all 1 ≤ i ≤ N, the number i appears at most i times in the square. • There are at least two distinct positive integers in the square. For example, the following is a 5 × 5 occult square, where the sums of the numbers on each row, each column, and both main diagonals are 7: 0 0 0 3 4 2 4 0 0 1 0 0 3 4 0 5 0 0 0 2 0 3 4 0 0 For a given prime number P, you are asked to construct a P × P occult square, or determine whether no such occult square exists. Input Input contains a prime number: P (2 ≤ P ≤ 1000) representing the number of rows and columns in the occult square. Output If there is no P × P occult square, simply output -1 in a line. Otherwise, output P lines, each contains P integers representing an occult square. The j th integer on the i th line is the integer on the i th row and the j th column in the occult square. You may output any P × P occult square.
How it Works
It only takes a couple of minutes to fill in your details, select the type of paper you need (essay, term paper, etc.), give us all necessary information regarding your assignment.
Once we receive your request, one of our customer support representatives will contact you within 24 hours with more specific information about how much it'll cost for this particular project.
After receiving payment confirmation via PayPal or credit card – we begin working on your detailed outline, which is based on the requirements given by yourself upon ordering.
Once approved, your order is complete and will be emailed directly to the email address provided before payment was made!