#include <bits/stdc++.h>
using namespace std;
int main() {
  string st = "";
  int n, c = 0;
  cin >> n;
  char empty = '.', coder = 'C';
  int i = 1;
  while (i <= n) {
    if (i % 2 != 0) {
      for (int i = 1; i <= n; i++) {
        if (i % 2 != 0) {
          st += coder;
          c++;
        }
        if (i % 2 == 0) {
          st += empty;
        }
      }
    }
    if (i % 2 == 0) {
      for (int i = 1; i <= n; i++) {
        if (i % 2 != 0) {
          st += empty;
        }
        if (i % 2 == 0) {
          st += coder;
          c++;
        }
      }
    }
    st += "\n";
    i++;
  }
  cout << c << endl;
  cout << st << endl;
  return 0;
}

### Prompt

Please formulate a Cpp solution to the following problem:

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

### Response

```cpp
#include <bits/stdc++.h>
using namespace std;
int main() {
  string st = "";
  int n, c = 0;
  cin >> n;
  char empty = '.', coder = 'C';
  int i = 1;
  while (i <= n) {
    if (i % 2 != 0) {
      for (int i = 1; i <= n; i++) {
        if (i % 2 != 0) {
          st += coder;
          c++;
        }
        if (i % 2 == 0) {
          st += empty;
        }
      }
    }
    if (i % 2 == 0) {
      for (int i = 1; i <= n; i++) {
        if (i % 2 != 0) {
          st += empty;
        }
        if (i % 2 == 0) {
          st += coder;
          c++;
        }
      }
    }
    st += "\n";
    i++;
  }
  cout << c << endl;
  cout << st << endl;
  return 0;
}

```