#include <bits/stdc++.h>
using namespace std;
int main() {
  int n;
  double b = 0;
  cin >> n;
  b = n;
  b = (b * b) / 2;
  cout << ceil(b) << endl;
  char x[n][n];
  for (int i = 0; i < n; i++) {
    if (n % 2 == 0 && (i % 2 == 0 || i == 0))
      x[i][0] = '.';
    else if (n % 2 == 0 && (i % 2 > 0))
      x[i][0] = 'C';
    else if (n % 2 > 0 && (i % 2 == 0 || i == 0))
      x[i][0] = 'C';
    else
      x[i][0] = '.';
    cout << x[i][0];
    for (int j = 1; j < n; j++) {
      x[i][j - 1] == '.' ? x[i][j] = 'C' : x[i][j] = '.';
      cout << x[i][j];
    }
    cout << endl;
  }
  return 0;
}

### Prompt

Develop a solution in cpp to the problem described below:

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() {
  int n;
  double b = 0;
  cin >> n;
  b = n;
  b = (b * b) / 2;
  cout << ceil(b) << endl;
  char x[n][n];
  for (int i = 0; i < n; i++) {
    if (n % 2 == 0 && (i % 2 == 0 || i == 0))
      x[i][0] = '.';
    else if (n % 2 == 0 && (i % 2 > 0))
      x[i][0] = 'C';
    else if (n % 2 > 0 && (i % 2 == 0 || i == 0))
      x[i][0] = 'C';
    else
      x[i][0] = '.';
    cout << x[i][0];
    for (int j = 1; j < n; j++) {
      x[i][j - 1] == '.' ? x[i][j] = 'C' : x[i][j] = '.';
      cout << x[i][j];
    }
    cout << endl;
  }
  return 0;
}

```