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import java.util.Random;

public class Lab9
{

    public static void main(String[] args)
    {
        int[] [] testArrayOne = random(5, 0, 5);
        int[] [] testArrayTwo = random(10, 2, 10);
        int[] [] testArrayThree = random(3, 0, 3);
        int[] [] testArrayFour = random(15, 0, 55);
        int[] [] testArrayFive = random(25, 0, 25);
        int[][] allneg = { {-10,-12,-3}, {-4,-5,-6,-8}, {-7,-8} };
        int[][] nonsquare = { {1,2,3}, {4,5}, {6,7,8,9} };
        int[][] latin = { {1,2,3}, {2,3,1}, {3,1,2} };
        int[][] notlatin = { {2,1,3}, {2,3,1}, {3,1,2} };

        testArray(testArrayOne);
        testArray(testArrayTwo);
        testArray(testArrayThree);
        testArray(testArrayFour);
        testArray(testArrayFive);
        testArray(allneg);
        testArray(nonsquare);
        testArray(latin);
        testArray(notlatin);
    }

    private static void testArray(int [] [] arrayTested)
    {
        System.out.println("The sum of the first row is " + rowSum(arrayTested, 0));
        System.out.println("The sum of the first column is " + columnSum(arrayTested, 0));
        System.out.println("Is the array a square? : " + isSquare(arrayTested));
        System.out.println("Is the array a latin square? : " + isLatin(arrayTested));
    }

    public static int [] [] random(int N, int start, int end)
    {
        int [] [] returnArray = new int[N] [N];
        for(int i = 0; i < N; i++)
        {
            for(int j = 0; j < N; j++)
            {
                returnArray[i][j] = randInt(start, end);
            }
        }
        return returnArray;
    }

    private static int randInt(int min, int max)
    {
        Random rand = new Random();
        int randomNum = rand.nextInt((max - min) + 1) + min;
        return randomNum;
    }

    public static int rowSum(int [] [] arrayOne, int rowNum)
    {
        int sum = 0;
        for(int i = 0; i < arrayOne.length; i++)
        {
            sum += arrayOne[i][rowNum];
        }
        return sum;
    }

    public static int columnSum(int [] [] arrayOne, int colNum)
    {
        int sum = 0;
        for(int i = 0; i< arrayOne[colNum].length; i++)
        {
            sum+= arrayOne[colNum][i];
        }
        return sum;
    }

    public static boolean isSquare(int [] [] arrayOne)
    {
        boolean squareArray = true;
        for(int i = 0; i < arrayOne.length; i++)
        {
            if(arrayOne.length != arrayOne[i].length)
            {
                squareArray = false;
            }
        }
        return squareArray;
    }

    public static boolean isLatin(int [] [] arrayOne)
    {
        boolean isLatin = true;
        int checkSum = 0;
        if(isSquare(arrayOne))
        {
            for(int i = arrayOne.length; i > 0; i--)
            {
                checkSum += i;
            }

            for(int i = 0; i < arrayOne.length; i++)
            {
                int sumArrayNums = 0;
                if(isLatin == true)
                {
                    for(int j = 0; j < arrayOne.length; j++)
                    {
                        sumArrayNums += (arrayOne[i][j]);
                    }
                    if(sumArrayNums != checkSum)
                    {
                        isLatin = false;
                    }
                }
            }

            if(isLatin == true)
            {
                for(int i = 0; i < arrayOne.length; i++)
                {
                    int sumArrayNums = 0;
                    if(isLatin == true)
                    {
                        for(int j = 0; j < arrayOne.length; j++)
                        {
                            sumArrayNums += arrayOne[j][i];
                        }
                        if(sumArrayNums != checkSum)
                        {
                            isLatin = false;
                        }
                    }
                }
            }
        }
        else
        {
            isLatin = false;
        }
        return isLatin;
    }
}