Begin forwarded message:

> From: James Koppel <darmaniiii / yahoo.com>
> Date: May 18, 2007 1:35:48 PM CDT
> To: submission / rubyquiz.com, submission / rubyquiz.com
> Subject: Please Forward: Ruby Quiz Submission
>
> Here is my solution to Ruby Quiz 124. It does not implement the  
> extra credit. It uses the following algorithm (courtesy of Wikipedia):
>
> "Starting from the central column of the first row with the number  
> 1, the fundamental movement for filling the squares is diagonally  
> up and right, one step at a time. If a filled square is  
> encountered, one moves vertically down one square instead, then  
> continuing as before. When a move would leave the square, it is  
> wrapped around to the last row or first column, respectively."
>
>
> def magic_square(n)
>   square = [].fill(nil,0...n).map{
>     [].fill(nil,0...n)}
>   x,y = (n-1)/2, 0
>   nxt = 1
>   while nxt <= n**2
>     square[y][x] = nxt
>     nxt += 1
>     if square[(y-n-1)%n][(x+n+1)%n]
>       y += 1
>     else
>       x,y, = (x+n+1)%n,(y-n-1)%n
>     end
>   end
>   square
> end
>
> n = ARGV[0].to_i
> digits = (n**2).to_s.length
> square = magic_square(n)
> square.map! {|arr| arr.map{|x|" " * (digits - x.to_s.length) + "# 
> {x}"}}
> n.times {|t|
>   puts "+" + ("-" * (n*(digits + 3)-1)) + "+"
>   puts "| #{square[t].join(' | ')} |"}
> puts "+" + ("-" * (n*(digits + 3)-1)) + "+"
>
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