Problem: We all know the problem about the number of ways one can tile a 2 × n field by 1 × 2 dominoes. You probably remember that it goes down to Fibonacci numbers. We will talk about some other problem below, there you also are going to deal with tiling a rectangular field with dominoes.

You are given a 4 × n rectangular field, that is the field that contains four lines and n columns. You have to find for it any tiling by 1 × 2 dominoes such that each of the n - 1 potential vertical cuts along the grid lines intersects at least one domino, splitting it in two. No two dominoes in the sought tiling should overlap, each square of the field should be covered by exactly one domino. It is allowed to rotate the dominoes, that is, you can use 2 × 1 as well as 1 × 2 dominoes.

Write a program that finds an arbitrary sought tiling. 

Input

The input contains one positive integer n (1 ≤ n ≤ 100) — the number of the field's columns.

Output

If there's no solution, print "-1" (without the quotes). Otherwise, print four lines containing n characters each — that's the description of tiling, where each vertical cut intersects at least one domino. You should print the tiling, having painted the field in no more than 26 colors. Each domino should be painted a color. Different dominoes can be painted the same color, but dominoes of the same color should not be side-neighbouring. To indicate colors you should use lowercase Latin letters. Print any of the acceptable ways of tiling.

Examples

Input

4


Output

yyzz
bccd
bxxd
yyaa

Solution (in JAVA):

Solution:
import java.util.*;
import java.io.*;
import java.math.BigInteger;

public class Main implements Runnable {
	private void solution() throws IOException {
		int width = in.nextInt();
		char[][] grid = new char[4][width];
		if (width % 2 == 1) {
			for (int i = 0; i < width - 1; i += 2) {
				colorIt(0, i, 0, i + 1, grid);
				colorIt(1, i, 1, i + 1, grid);
				colorIt(2, i + 1, 2, i + 2, grid);
				colorIt(3, i + 1, 3, i + 2, grid);
			}
			colorIt(0, width - 1, 1, width - 1, grid);
			colorIt(2, 0, 3, 0, grid);
		} else {
			for (int i = 0; i < width; i += 2) {
				colorIt(0, i, 0, i + 1, grid);
				colorIt(1, i, 1, i + 1, grid);
			}
			colorIt(2, 0, 3, 0, grid);
			colorIt(2, width - 1, 3, width - 1, grid);
			for (int i = 1; i < width - 1; i += 2) {
				colorIt(2, i, 2, i + 1, grid);
				colorIt(3, i, 3, i + 1, grid);
			}
		}
		for (char[] row : grid) {
			out.println(new String(row));
		}
	}

	private void colorIt(int x, int y, int x2, int y2, char[][] grid) {
		Set<Character> used = new HashSet<Character>();
		int[] ax = new int[] { x, x2 };
		int[] ay = new int[] { y, y2 };
		for (int i = 0; i < ax.length; ++i) {
			for (int dx = -1; dx <= 1; ++dx) {
				for (int dy = -1; dy <= 1; ++dy) {
					if (dx != 0 ^ dy != 0) {
						int nx = ax[i] + dx;
						int ny = ay[i] + dy;
						if (valid(nx, ny, grid)) {
							if (grid[nx][ny] != 0) {
								used.add(grid[nx][ny]);
							}
						}
					}
				}
			}
		}
		for (char c = 'a'; c <= 'z'; ++c) {
			if (!used.contains(c)) {
				grid[x][y] = c;
				grid[x2][y2] = c;
				return;
			}
		}
		throw null;
	}

	private boolean valid(int x, int y, char[][] grid) {
		return x >= 0 && y >= 0 && x < grid.length && y < grid[0].length;
	}

	private void debug(Object... objects) {
		System.out.println(Arrays.deepToString(objects));
	}

	public void run() {
		try {
			// try {
			// String fileName = "";
			// in = new Scanner(new FileReader(fileName + ".in"));
			// out = new PrintWriter(fileName + ".out");
			// } catch (Exception e) {
			// }
			solution();
			in.reader.close();
			out.close();
		} catch (Throwable e) {
			e.printStackTrace();
			System.exit(1);
		}
	}

	private static class Scanner {
		private BufferedReader reader;
		private StringTokenizer tokenizer;

		public Scanner(Reader reader) {
			this.reader = new BufferedReader(reader);
			this.tokenizer = new StringTokenizer("");
		}

		public boolean hasNext() throws IOException {
			while (!tokenizer.hasMoreTokens()) {
				String line = reader.readLine();
				if (line == null) {
					return false;
				}
				tokenizer = new StringTokenizer(line);
			}
			return true;
		}

		public String next() throws IOException {
			hasNext();
			return tokenizer.nextToken();
		}

		public int nextInt() throws IOException {
			return Integer.parseInt(next());
		}

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

		public long nextLong() throws IOException {
			return Long.parseLong(next());
		}

		public String nextLine() throws IOException {
			tokenizer = new StringTokenizer("");
			return reader.readLine();
		}

		public int[] nextInts(int n) throws IOException {
			int[] res = new int[n];
			for (int i = 0; i < n; ++i) {
				res[i] = nextInt();
			}
			return res;
		}

		public long[] nextLongs(int n) throws IOException {
			long[] res = new long[n];
			for (int i = 0; i < n; ++i) {
				res[i] = nextLong();
			}
			return res;
		}

		public double[] nextDoubles(int n) throws IOException {
			double[] res = new double[n];
			for (int i = 0; i < n; ++i) {
				res[i] = nextDouble();
			}
			return res;
		}

		public String[] nextStrings(int n) throws IOException {
			String[] res = new String[n];
			for (int i = 0; i < n; ++i) {
				res[i] = next();
			}
			return res;
		}
	}

	public static void main(String[] args) throws Exception {
		new Thread(null, new Main(), "Main", 1 << 28).start();
	}
	private Scanner in = new Scanner(new InputStreamReader(System.in));
	private PrintWriter out = new PrintWriter(new BufferedWriter(new OutputStreamWriter(System.out)));
}