import java.io.*;
import java.util.*;

public class Main {

	private static Scanner sc;
	private static Printer pr;

	private static void solve() {
		int a = sc.nextInt();
		int b = sc.nextInt();

		boolean swap = false;
		if (a < b) {
			swap = true;
			int tmp = a;
			a = b;
			b = tmp;
		}

		if (a == 1 && b == 1) {
			pr.printf("%d %d\n", 1, 2);
			pr.println("#.");
		} else if (b == 1) {
			int w = 50;
			int h = (a + 49) / 50;

			StringBuilder ans = new StringBuilder();
			int cnt = 0;
			for (int i = 0; i < h; i++) {
				for (int j = 0; j < 2 * w; j++) {
					if (j % 2 == 0 || cnt >= a) {
						ans.append('#');
					} else {
						ans.append('.');
						cnt++;
					}
				}
				ans.append("\n");
				for (int j = 0; j < 2 * w; j++) {
					ans.append('#');
				}
				ans.append("\n");
			}

			pr.printf("%d %d\n", 2 * h, 2 * w);
			if (swap) {
				pr.print(ans.toString().replace('.', 'x').replace('#', '.').replace('x', '#'));
			} else {
				pr.print(ans);
			}
		} else {
			int aa = a - 1;
			int hh = 0;

			int w = 50;
			int h = (aa + 49) / 50;
			hh += 2 * h;

			StringBuilder ans = new StringBuilder();
			int cnt = 0;
			for (int i = 0; i < h; i++) {
				for (int j = 0; j < 2 * w; j++) {
					if (j % 2 == 0 || cnt >= aa) {
						ans.append('#');
					} else {
						ans.append('.');
						cnt++;
					}
				}
				ans.append("\n");
				for (int j = 0; j < 2 * w; j++) {
					ans.append('#');
				}
				ans.append("\n");
			}

			for (int j = 0; j < 2 * w; j++) {
				ans.append('.');
			}
			ans.append("\n");
			hh++;

			aa = b - 1;

			w = 50;
			h = (aa + 49) / 50;
			hh += 2 * h;

			cnt = 0;
			for (int i = 0; i < h; i++) {
				for (int j = 0; j < 2 * w; j++) {
					if (j % 2 == 0 || cnt >= aa) {
						ans.append('.');
					} else {
						ans.append('#');
						cnt++;
					}
				}
				ans.append("\n");
				for (int j = 0; j < 2 * w; j++) {
					ans.append('.');
				}
				ans.append("\n");
			}

			pr.printf("%d %d\n", hh, 2 * w);
			if (swap) {
				pr.print(ans.toString().replace('.', 'x').replace('#', '.').replace('x', '#'));
			} else {
				pr.print(ans);
			}

		}
	}

	// ---------------------------------------------------
	public static void main(String[] args) {
		sc = new Scanner(INPUT == null ? System.in : new ByteArrayInputStream(INPUT.getBytes()));
		pr = new Printer(System.out);

		solve();

//		pr.close();
		pr.flush();
//		sc.close();
	}

	static String INPUT = null;

	@SuppressWarnings("unused")
	private static class Scanner {
		BufferedReader br;

		Scanner (InputStream in) {
			br = new BufferedReader(new InputStreamReader(in));
		}

		private boolean isPrintable(int ch) {
			return ch >= '!' && ch <= '~';
		}

		private boolean isCRLF(int ch) {
			return ch == '\n' || ch == '\r' || ch == -1;
		}

		private int nextPrintable() {
			try {
				int ch;
				while (!isPrintable(ch = br.read())) {
					if (ch == -1) {
						throw new NoSuchElementException();
					}
				}

				return ch;
			} catch (IOException e) {
				throw new NoSuchElementException();
			}
		}

		String next() {
			try {
				int ch = nextPrintable();
				StringBuilder sb = new StringBuilder();
				do {
					sb.appendCodePoint(ch);
				} while (isPrintable(ch = br.read()));

				return sb.toString();
			} catch (IOException e) {
				throw new NoSuchElementException();
			}
		}

		int nextInt() {
			try {
				// parseInt from Integer.parseInt()
				boolean negative = false;
				int res = 0;
				int limit = -Integer.MAX_VALUE;
				int radix = 10;

				int fc = nextPrintable();
				if (fc < '0') {
					if (fc == '-') {
						negative = true;
						limit = Integer.MIN_VALUE;
					} else if (fc != '+') {
						throw new NumberFormatException();
					}
					fc = br.read();
				}
				int multmin = limit / radix;

				int ch = fc;
				do {
					int digit = ch - '0';
					if (digit < 0 || digit >= radix) {
						throw new NumberFormatException();
					}
					if (res < multmin) {
						throw new NumberFormatException();
					}
					res *= radix;
					if (res < limit + digit) {
						throw new NumberFormatException();
					}
					res -= digit;

				} while (isPrintable(ch = br.read()));

				return negative ? res : -res;
			} catch (IOException e) {
				throw new NoSuchElementException();
			}
		}

		long nextLong() {
			try {
				// parseLong from Long.parseLong()
				boolean negative = false;
				long res = 0;
				long limit = -Long.MAX_VALUE;
				int radix = 10;

				int fc = nextPrintable();
				if (fc < '0') {
					if (fc == '-') {
						negative = true;
						limit = Long.MIN_VALUE;
					} else if (fc != '+') {
						throw new NumberFormatException();
					}
					fc = br.read();
				}
				long multmin = limit / radix;

				int ch = fc;
				do {
					int digit = ch - '0';
					if (digit < 0 || digit >= radix) {
						throw new NumberFormatException();
					}
					if (res < multmin) {
						throw new NumberFormatException();
					}
					res *= radix;
					if (res < limit + digit) {
						throw new NumberFormatException();
					}
					res -= digit;

				} while (isPrintable(ch = br.read()));

				return negative ? res : -res;
			} catch (IOException e) {
				throw new NoSuchElementException();
			}
		}

		float nextFloat() {
			return Float.parseFloat(next());
		}

		double nextDouble() {
			return Double.parseDouble(next());
		}

		String nextLine() {
			try {
				int ch;
				while (isCRLF(ch = br.read())) {
					if (ch == -1) {
						throw new NoSuchElementException();
					}
				}
				StringBuilder sb = new StringBuilder();
				do {
					sb.appendCodePoint(ch);
				} while (!isCRLF(ch = br.read()));

				return sb.toString();
			} catch (IOException e) {
				throw new NoSuchElementException();
			}
		}

		void close() {
			try {
				br.close();
			} catch (IOException e) {
//				throw new NoSuchElementException();
			}
		}
	}

	private static class Printer extends PrintWriter {
		Printer(OutputStream out) {
			super(out);
		}
	}
}


Measured memory_bytes: 23508