exercises 6/3

//#10
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;

namespace ConsoleApplication1
{
    class Program
    {
            public static void PrintMatrix(int[,] a)
        {
            for (int i = 0; i < a.GetLength(0); i++)
            {
                for (int j = 0; j < a.GetLength(1); j++)
                    Console.Write("{0,-7}", a[i, j]);
                Console.WriteLine();
            }
        }
        public static void KeletMatrix(int[,] a)
        {
            for (int i = 0; i < a.GetLength(0); i++)
                for (int j = 0; j < a.GetLength(1); j++)
                    a[i, j] = int.Parse(Console.ReadLine());
        }
        static void Main(string[] args)
        {
            int[,] a = new int[2, 2];
            KeletMatrix(a);
            for (int i = 0; i < a.GetLength(0); i++)
            {
                for (int j = 0; j < a.GetLength(1); j++)
                {
                    if (a[i, j] < j)
                        a[i, j] += j;
                    else if (a[i, j] == j)
                        a[i, j] -= i * j;
                    else
                        a[i, j] /= a[j, i];
                }
            }
            PrintMatrix(a);
        }
    }
}

//#11
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;

namespace ConsoleApplication1
{
    class Program
    {
            public static void PrintMatrix(int[,] a)
        {
            for (int i = 0; i < a.GetLength(0); i++)
            {
                for (int j = 0; j < a.GetLength(1); j++)
                    Console.Write("{0,-7}", a[i, j]);
                Console.WriteLine();
            }
        }
        public static void KeletMatrix(int[,] a)
        {
            for (int i = 0; i < a.GetLength(0); i++)
                for (int j = 0; j < a.GetLength(1); j++)
                    a[i, j] = int.Parse(Console.ReadLine());
        }
        static void CreateMagicSquare(int[,] a)
        {
            for (int i = 0; i < a.GetLength(0); i++)
                for (int j = 0; j < a.GetLength(1); j++)
                    a[i, j] = 1;
            int num = 3, x = a.GetLength(1) - 1, y = a.GetLength(1)/2;
            a[x, y] = 2;
            x--;
            if (x < 0)
                x = a.GetLength(0) - 1;
            y--;
            if (y < 0)
                y = a.GetLength(1) - 1;
            if (a[x, y] != 1) {
                a[x, y] =
                }
        }
        static void Main(string[] args)
        {
            int[,] a = new int[2, 2];

        }
    }
}

//#12
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;

namespace ConsoleApplication1
{
    class Program
    {
            public static void PrintMatrix(int[,] a)
        {
            for (int i = 0; i < a.GetLength(0); i++)
            {
                for (int j = 0; j < a.GetLength(1); j++)
                    Console.Write("{0,-7}", a[i, j]);
                Console.WriteLine();
            }
        }
        public static void KeletMatrix(int[,] a)
        {
            for (int i = 0; i < a.GetLength(0); i++)
                for (int j = 0; j < a.GetLength(1); j++)
                    a[i, j] = int.Parse(Console.ReadLine());
        }
        static void Main(string[] args)
        {
            int[,] a = new int[2, 2];
            KeletMatrix(a);
            bool latin = true;
            for (int i = 0; i < a.GetLength(0); i++)
                for (int j = 0; j < a.GetLength(1); j++)
                    for (int k = j + 1; k < a.GetLength(1); k++)
                        if (a[i, j] == a[i, k])
                            latin = false;
            for (int i = 0; i < a.GetLength(0); i++)
                for (int j = 0; j < a.GetLength(1); j++)
                    for (int k = i + 1; k < a.GetLength(0); k++)
                        if (a[i, j] == a[k, j])
                            latin = false;
            Console.WriteLine(latin);
        }
    }
}

//#13
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;

namespace ConsoleApplication1
{
    class Program
    {
        public static void PrintMatrix(int[,] a)
        {
            for (int i = 0; i < a.GetLength(0); i++)
            {
                for (int j = 0; j < a.GetLength(1); j++)
                    Console.Write("{0,-7}", a[i, j]);
                Console.WriteLine();
            }
        }
        public static void KeletMatrix(int[,] a)
        {
            for (int i = 0; i < a.GetLength(0); i++)
                for (int j = 0; j < a.GetLength(1); j++)
                    a[i, j] = int.Parse(Console.ReadLine());
        }
        public static int BiggestInRow(int[,] a, int rowNum)
        {
            int max = a[rowNum, 0], k = 0;
            for (int i = 1; i < a.GetLength(1); i++)
                if (max < a[rowNum, i])
                {
                    max = a[rowNum, i];
                    k = i;
                }
            //Console.WriteLine(k);
            return k;
        }
        static void Main(string[] args)
        {
            int[,] a = new int[5, 5];
            Random rnd = new Random();
            for (int i = 0; i < a.GetLength(0); i++)
                for (int j = 0; j < a.GetLength(1); j++)
                    a[i, j] = rnd.Next(160, 191);
            int holder;
            for (int i = 0; i < a.GetLength(0); i++)
            {
                holder = a[i, i];
                int location = BiggestInRow(a, i);
                a[i, i] = a[i, location];
                a[i, location] = holder;
            }
            int max = a[0, 0], k = 0;
            for (int i = 0; i < a.GetLength(0); i++)
            {
                if (a[i, i] > max)
                {
                    max = a[i, i];
                    k = i;
                }
            }
            holder = a[0, 4];   //I assumed this is mishbezet 1,5 since there is no [1, 5]
            a[0, 4] = a[k, k];
            a[k, k] = holder;
            PrintMatrix(a);
        }
    }
}