Iahub likes chess very much. He even invented a new chess piece named Coder. A Coder can move (and attack) one square horizontally or vertically. More precisely, if the Coder is located at position (x, y), he can move to (or attack) positions (x + 1, y), (x–1, y), (x, y + 1) and (x, y–1).

Iahub wants to know how many Coders can be placed on an n × n chessboard, so that no Coder attacks any other Coder.

Input

The first line contains an integer n (1 ≤ n ≤ 1000).

Output

On the first line print an integer, the maximum number of Coders that can be placed on the chessboard.

On each of the next n lines print n characters, describing the configuration of the Coders. For an empty cell print an '.', and for a Coder print a 'C'.

If there are multiple correct answers, you can print any.

Examples

Input

2


Output

2
C.
.C
import java.io.BufferedReader;
import java.io.IOException;
import java.io.InputStreamReader;
import java.io.PrintStream;

/**
 * 
 * @author Code Forces.  Solution by: L.Azuaje.
 *
 * Problem: 384A  Coder.
 *
 * Used at Codeforces: #225 Div-2.
 *
 */

public class Main {
	public static void main(String[] args) throws IOException {
		MyScanner scanner = new MyScanner();
		PrintStream out = System.out;

		Main main = new Main();

		StringBuilder b1 = new StringBuilder();
        StringBuilder b2 = new StringBuilder();

        for (int i = 0; i < 1000; i++) {
            b1.append("C.");
            b2.append(".C");
        }

		int n = scanner.nextInt();
        out.println( (int )Math.ceil( n * n / 2.0  ));

        for (int i = 0; i < n; i++) {
            if (i % 2 == 0) {
                out.println(b1.toString().substring(0, n));
            } else {
                out.println(b2.toString().substring(0, n));
            }
        }

		scanner.close();
		out.close();
	}

	// -----------MyScanner class for faster input----------
	public static class MyScanner {
		BufferedReader reader;

		public MyScanner() {
			this.reader = new BufferedReader(new InputStreamReader(System.in));
		}

		public void close() throws IOException {
			this.reader.close();
		}

		int nextInt() {
			return Integer.parseInt(this.next());
		}

		long nextLong() {
			return Long.parseLong(this.next());
		}

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

		String next() {
			String str = "";
			try {
				str = this.reader.readLine().trim();
			} catch (IOException e) {
				e.printStackTrace();
			}
			return str;
		}

		String[] nextStringArray() {
			String[] str = null;
			try {
				str = this.reader.readLine().trim().split(" ");
			} catch (IOException e) {
				e.printStackTrace();
			}
			return str;
		}

		int[] nextIntArray() {
			String[] data  = nextStringArray();
			int[] a  = new int[data.length];

			for (int i = 0; i < a.length; i++) {
				a[i] = Integer.parseInt(data[i]);
			}

			return a;
		}

		Integer[] nextIntegerArray() {
			String[] data  = nextStringArray();
			Integer[] a  = new Integer[data.length];

			for (int i = 0; i < a.length; i++) {
				a[i] = Integer.parseInt(data[i]);
			}

			return a;
		}

		long[] nextLongArray() {
			String[] data  = nextStringArray();
			long[] a  = new long[data.length];

			for (int i = 0; i < a.length; i++) {
				a[i] = Long.parseLong(data[i]);
			}

			return a;
		}
	}
}

