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.