Program to generate Magic square. Program to generate Magic square. A Magic square is a two dimensional arrangement of numbers ( from 1 to n. X 3. 8 1 6. 3 5 7. Here the by summing up any row,column, or diagonal, result is 1. There is a simple algorithm for generating square of odd order ( 3 X 3, 5 X 5.. Then we move one step right and one step above. ![]()
We will check if there is a number already placed in that slot. If not we put 2 there and follow the same algorithm for subsequent numbers. If a number is already there, we move down one step and place the next number there. ![]() Program For Magic Square In CWrite A Program For Magic SquareIn moving right,if we reach the last column, we wrap to the first column. Similarly while moving up, if we reach first row, we wrap to the last row. This essentially a cyclic iteration. The following snapshots shows the step by step filling up of the grid. In the first step, when we move right, we reach the last column in the first row. We can not go up, so we move to last row and place 2 there. In the next step, we can not move from last column, so we move to first column, move up by one position and place 3 there. In the next step, if we move right, move up, we find that cell is already filled with 1. Hence we move down one step and place 4. You can analyze the remaining moves in a similar way. The following Java program implements the above algorithm. Remember to pass only odd number as parameter. Scanner; /** * Created with Intelli. ![]() Any magic square can be rotated and reflected to produce 8 trivially distinct squares. In magic square theory, all of these are generally deemed equivalent and the. 3x3 Magic Square Solver. Enter 3 numbers below, then click the pattern of white squares where they are to be placed (in left to right, top to bottom order) and. The program searches for all magic squares of an order prescribed by the user (in a clever way). The solutions are written to the screen and an output file. A Java program to test if a square integer array is a magic square or not.
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