using System;
using System.Linq;
using System.Collections.Generic;

namespace Contest
{
    class Program
    {
        static void Main(string[] args)
        {
            ARC093.D();
        }

        class ARC093
        {
            public static void C()
            {
                var N = Read.Int();
                var A = Read.LongN();
                List<long> X = new List<long>();
                X.Add(0);
                foreach(var a in A) { X.Add(a); }
                X.Add(0);
                var all = Enumerable.Range(0, N + 1).Select(i => Math.Abs(X[i + 1] - X[i])).Sum();
                System.Text.StringBuilder sb = new System.Text.StringBuilder();
                for(int i = 1; i <= N; ++i)
                {
                    var v = all - Math.Abs(X[i + 1] - X[i]) - Math.Abs(X[i - 1] - X[i]) + Math.Abs(X[i + 1] - X[i - 1]);
                    sb.AppendLine(v.ToString());
                }
                Console.Write(sb.ToString());
            }
            public static void D()
            {
                var A = Read.Int();
                var B = Read.Int();
                A--;
                B--;
                List<string> lines = new List<string>();
                lines.Add(String.Join("", Enumerable.Range(0, 100).Select(i => "#")));
                while (A > 0)
                {
                    var x = Math.Min(50, A);
                    lines.Add(String.Join("", Enumerable.Range(0, 100).Select(i => i % 2 == 0 && i / 2 < x ? "." : "#")));
                    lines.Add(String.Join("", Enumerable.Range(0, 100).Select(i => "#")));
                    A -= 50;
                }
                lines.Add(String.Join("", Enumerable.Range(0, 100).Select(i => ".")));
                while (B > 0)
                {
                    var x = Math.Min(50, B);
                    lines.Add(String.Join("", Enumerable.Range(0, 100).Select(i => i % 2 == 0 && i / 2 < x ? "#" : ".")));
                    lines.Add(String.Join("", Enumerable.Range(0, 100).Select(i => ".")));
                    B -= 50;
                }
                Console.WriteLine("{0} {1}", lines.Count, 100);
                foreach(var s in lines)
                {
                    Console.WriteLine(s);
                }
            }
            public static void E()
            {

            }
        }





        class Util
        {
            public static long[] ASum(long[] array)
            {
                var res = new long[array.Length + 1];
                for (int i = 0; i < array.Length; ++i)
                {
                    res[i + 1] = res[i] + array[i];
                }
                return res;
            }
        }

        static class Read
        {
            static Queue<string> queue = new Queue<string>();
            static void Enqueue() { var ss = Console.ReadLine().Split(' '); foreach (var s in ss) { queue.Enqueue(s); } }
            public static int Int() { if (queue.Count == 0) { Enqueue(); } return Convert.ToInt32(queue.Dequeue()); }
            public static long Long() { if (queue.Count == 0) { Enqueue(); } return Convert.ToInt64(queue.Dequeue()); }
            public static string Str() { if (queue.Count == 0) { Enqueue(); } return queue.Dequeue(); }
            public static int[] IntN() { return Console.ReadLine().Split(' ').Select(s => Convert.ToInt32(s)).ToArray(); }
            public static long[] LongN() { return Console.ReadLine().Split(' ').Select(s => Convert.ToInt64(s)).ToArray(); }
            public static string[] StrN() { return Console.ReadLine().Split(' '); }
            public static Tuple<int, int>[] TupleInt(int n) { List<Tuple<int, int>> list = new List<Tuple<int, int>>(); for (int i = 0; i < n; ++i) { var ab = Read.IntN(); list.Add(new Tuple<int, int>(ab[0], ab[1])); } return list.ToArray(); }
            public static Tuple<long, long>[] TupleLong(int n) { List<Tuple<long, long>> list = new List<Tuple<long, long>>(); for (int i = 0; i < n; ++i) { var ab = Read.LongN(); list.Add(new Tuple<long, long>(ab[0], ab[1])); } return list.ToArray(); }
            public static Tuple<string, string>[] TupleStr(int n) { List<Tuple<string, string>> list = new List<Tuple<string, string>>(); for (int i = 0; i < n; ++i) { var ab = Read.StrN(); list.Add(new Tuple<string, string>(ab[0], ab[1])); } return list.ToArray(); }
            public static Tuple<double, double>[] TupleDouble(int n) { List<Tuple<double, double>> list = new List<Tuple<double, double>>(); for (int i = 0; i < n; ++i) { var ab = Read.LongN(); list.Add(new Tuple<double, double>(ab[0], ab[1])); } return list.ToArray(); }
            public static long[,] LongMatrix(int r, int c)
            {
                var mat = new long[r, c];
                for (int i = 0; i < r; ++i)
                {
                    var x = Read.LongN();
                    for (int j = 0; j < c; ++j)
                    {
                        mat[i, j] = x[j];
                    }
                }
                return mat;
            }
            public static Dictionary<int, HashSet<int>> AdjacencyList(int N, int M)
            {
                Dictionary<int, HashSet<int>> dict = new Dictionary<int, HashSet<int>>();
                for (int i = 0; i <= N; ++i)
                {
                    dict.Add(i, new HashSet<int>());
                }
                for (int i = 0; i < M; ++i)
                {
                    var ab = Read.IntN();
                    dict[ab[0]].Add(ab[1]);
                    dict[ab[1]].Add(ab[0]);
                }
                return dict;
            }
            public static Dictionary<int, Dictionary<int, long>> AdjacencyListWithWeight(int N, int M)
            {
                Dictionary<int, Dictionary<int, long>> dict = new Dictionary<int, Dictionary<int, long>>();
                for (int i = 0; i <= N; ++i)
                {
                    dict.Add(i, new Dictionary<int, long>());
                }
                for (int i = 0; i < M; ++i)
                {
                    var ab = Read.IntN();
                    dict[ab[0]].Add(ab[1], ab[2]);
                    dict[ab[1]].Add(ab[0], ab[2]);
                }
                return dict;
            }
        }
    }
}


Measured memory_bytes: 13396