From: Dirk Meijer <hawkman.gelooft@...>
Date: 2006-06-26T08:09:33+09:00
Subject: [SOLUTION] #84 Pascal Triangle

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hi everyone,
here's my own solution to the problem:

pascal.rb
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class Pascal
  attr_reader :triangle

  def initialize(rows)
    @triangle=[]
    generate(rows)
  end

  def [](row, n)
    if row>0 and row<=@triangle.length and n>0 and n<=
@triangle[row-1].length
      @triangle[row-1][n-1]
    else
      nil
    end
  end

  def generate(rows)
    return nil if rows<@triangle.length
    rows.times do |s|
      row=[1]
      1.upto(s-1) do |n|
        row[n]=@triangle[s-1][n-1]+@triangle[s-1][n]
      end
      row[s]=1
      @triangle << row
    end
  end

  def to_s
    spacing=@triangle.last.max.to_s.length
    total_length=(spacing+1)*@triangle.last.length
    @triangle.map do |row|
      row.map do |number|
        number.to_s.center(spacing)
      end.join(" ").center(total_length)
    end.join("\n")
  end

end

puts Pascal.new(ARGV[0].to_i)

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