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.InputStream;
import java.io.InputStreamReader;
import java.io.PrintWriter;
import java.util.StringTokenizer;

public class zizo {

	public static void main(String[]args) throws IOException {
		Scanner zizo=new Scanner(System.in);
		PrintWriter wr=new PrintWriter(System.out);
		StringBuilder br=new StringBuilder();
		int n=zizo.nextInt();
		int c=0;
		for(int i=0;i<n;i++) {
			for(int j=0;j<n;j++) {
				if((i+j)%2==0) {
					br.append('C');
					c++;
				}else br.append('.');
			}br.append("\n");
		}
		System.out.println(c);
		System.out.println(br.toString());
		wr.close();
	}
}
class edge implements Comparable<edge>{
	int m,s;
	edge(int a,int b){
		m=a;s=b;
	}
	@Override
	public int compareTo(edge o) {
		// TODO Auto-generated method stub
		return m-o.m;
	}

}
class Scanner 
{
	StringTokenizer st;
	BufferedReader br;

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

	public String next() throws IOException 
	{
		while (st == null || !st.hasMoreTokens()) 
			st = new StringTokenizer(br.readLine(), ",| ");
		return st.nextToken();
	}

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

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

	public String nextLine() throws IOException {return br.readLine();}

	public boolean ready() throws IOException {return br.ready();}

	public double nextDouble() throws IOException 
	{
		String x = next();
		StringBuilder sb = new StringBuilder("0");
		double res = 0, f = 1;
		boolean dec = false, neg = false;
		int start = 0;
		if(x.charAt(0) == '-')
		{
			neg = true;
			start++;
		}
		for(int i = start; i < x.length(); i++)
			if(x.charAt(i) == '.')
			{
				res = Long.parseLong(sb.toString());
				sb = new StringBuilder("0");
				dec = true;
			}
			else
			{
				sb.append(x.charAt(i));
				if(dec)
					f *= 10;
			}
		res += Long.parseLong(sb.toString()) / f;
		return res * (neg?-1:1);
	}

}
