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.StringReader;
import java.util.ArrayList;
import java.util.Arrays;
import java.util.Scanner;

/**
 * coder time limit
 */
public class CodeForS {
    public static void main(String [] args){
        Scanner input = new Scanner(System.in);

        int times = 0;
        int org = 0;
        int n = input.nextInt();
        String big_chet = "";
        String big_nechet = "";
        if(n > 400){
            for(int i = 0; i < 50; i++){
                big_chet += ".C";
                big_nechet += "C.";
            }
            times = n / 100;
            org = n;
            if(n % 2 == 0)
                System.out.println(n*n/2);
            else
                System.out.println(n*n/2 + 1);
            n = n % 100;
            method(n,times,big_chet,big_nechet,org);
        }
        else
            method(n);



    }
    public static void method(int n){
        String nechet = "C.";
        String chet = ".C";
        if(n % 2 == 0){
            System.out.println(n*n/2);
            for(int i = 1; i <= n; i++){
                if(i % 2 != 0){
                    for(int c = 0; c < n/2; c++){
                        System.out.print(nechet);
                    }
                }
                else {
                    for(int c = 0; c < n/2; c++){
                        System.out.print(chet);
                    }
                }
                System.out.println();
            }
        }
        else {
            System.out.println(n * n / 2 + 1);
            for(int i = 1; i <= n; i++){
                if(i % 2 != 0){
                    for(int c = 0; c < n/2; c++){
                        System.out.print(nechet);
                    }
                    System.out.print("C");
                }
                else {
                    for(int c = 0; c < n/2; c++){
                        System.out.print(chet);
                    }
                    System.out.print(".");
                }
                System.out.println();
            }

        }
    }
    public static void method(int n ,int times,String bchet, String bnechet,int org ){
        String nechet = "C.";
        String chet = ".C";
        
        if(n % 2 == 0){
            for(int i = 1; i <= org; i++){
                if(i % 2 != 0){
                    for(int c = 0; c < times; c++){
                        System.out.print(bnechet);
                    }
                    for(int c = 0; c < n/2; c++){
                        System.out.print(nechet);
                    }
                }
                else {
                    for(int c =0; c < times; c++){
                        System.out.print(bchet);
                    }
                    for(int c = 0; c < n/2; c++){
                        System.out.print(chet);
                    }
                }
                System.out.println();
            }

        }
        else {

            for(int i = 1; i <= org; i++){
                if(i % 2 != 0){
                    for(int c = 0; c < times; c++){
                        System.out.print(bnechet);
                    }
                    for(int c = 0; c < n/2; c++){
                        System.out.print(nechet);
                    }
                    System.out.print("C");
                }
                else {
                    for(int c = 0; c < times; c++){
                        System.out.print(bchet);
                    }
                    for(int c = 0; c < n/2; c++){
                        System.out.print(chet);
                    }
                    System.out.print(".");
                }
                System.out.println();
            }

        }
    }

}
