// ****************************************************************
//
// Square.java
//
// Define a Square class with methods to create and read in
// info for a square matrix and to compute the sum of a row,
// a col, either diagonal, and whether it is magic.
//
// ****************************************************************
import java.util.Scanner;
public class Square
{
    Scanner fileScan;
    int[][] square;

    //----------------------------------------------------------------------------
    //create new square as a two-dimensional array with size rows and size columns
    //----------------------------------------------------------------------------
    public Square(int size, Scanner fileScan )
    {
      square = new int[size][size];
      this.fileScan = fileScan;
    }


    //---------------------------------------------
    //return the sum of the values in the given row
    //---------------------------------------------
    public int sumRow(int row)
    {
      int sum = 0;
      for(int col = 0; col < square[row].length; col++)
         sum = sum + square[row][col];
      return  sum;
    }


    //------------------------------------------------
    //return the sum of the values in the given column
    //------------------------------------------------
    public int sumCol(int col)
    {
      int sum = 0;
      for(int row = 0; row < square.length; row++)
         sum = sum + square[row][col];
      return  sum;
    }

    //-------------------------------------------------
    //return the sum of the values in the main diagonal
    //-------------------------------------------------
    public int sumMainDiag()
    {
      int col = 0, sum = 0;

      for(int row = 0; row < square.length; row++)
      {
         sum = sum + square[row][col];
         col++;
      }
      return  sum;
    }

    //--------------------------------------------------------------
    //return the sum of the values in the other ("reverse") diagonal
    //--------------------------------------------------------------
    public int sumOtherDiag()
    {
      int col = square[0].length - 1, sum = 0;

      for(int row = 0; row < square.length; row++)
      {
         sum = sum + square[row][col];
         col--;
      }
      return  sum;
    }

    //------------------------------------------------------------------
    //return true if the square is magic (all rows, cols, and diags have
    //same sum), false otherwise
    //------------------------------------------------------------------
    public boolean magic()
    {
       int firstSum = sumRow(0);
       boolean magicSquare = true;

       for (int row = 1; row < square.length; row++)
         if (sumRow(row) != firstSum)
            return false;

       for (int col = 0; col < square[0].length; col++)
         if (sumCol(col) != firstSum)
            return false;

       if (sumMainDiag() != firstSum)
          return false;

       if (sumOtherDiag() != firstSum)
          return false;

       return true;
    }

    //--------------------------------------------------
    //read info into the square from the standard input.
    //--------------------------------------------------
    public void readSquare()
    {
       for (int row = 0; row < square.length; row++)
       {
         for (int col = 0; col < square.length; col ++)
           square[row][col] = fileScan.nextInt();
       }
    }

    //--------------------------------------------------
    //print the contents of the square, neatly formatted
    //--------------------------------------------------
    public void printSquare()
    {
      for (int row = 0; row < square.length; row++)
      {
         for (int col = 0; col < square[row].length; col++)
            System.out.print(square[row][col] + "\t");
         System.out.println();
      }
    }

}