Coder

Time Limit:1000MS     Memory Limit:262144KB     64bit IO Format:%I64d & %I64u

Description

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.

Sample Input

Input
2
Output
2
C.
.C
 #include <stdio.h>
#include <string.h>
int main()
{
int n;
int i,j,k;
while(scanf("%d",&n)!=EOF)
{
if(n%==)
{
printf("%d\n",n*n/);
for(i=;i<=n/;i++)
{
for(j=;j<=n;j++)
if(j%==)
printf("C");
else
printf(".");
printf("\n");
for(j=;j<=n;j++)
if(j%==)
printf("C");
else
printf(".");
printf("\n");
}
}
else
{
printf("%d\n",(n+)*(n+)/+(n-)*(n-)/);
for(i=;i<=n;i++)
{
if(i%==)
{
for(j=;j<=n;j++)
if(j%==)
printf("C");
else
printf(".");
printf("\n");
}
else
{
for(j=;j<=n;j++)
if(j%==)
printf("C");
else
printf(".");
printf("\n");
}
}
}
}
return ;
}

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