102.rb

# -*- coding: utf-8 -*-
# http://projecteuler.net/index.php?section=problems&id=102
# 原点と重心のあいだの線分が関係するところまではすぐ思いついたけど
# けっきょくその先はググった 
#

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EOS

Point = Struct.new("Point",:x,:y)

# http://www5d.biglobe.ne.jp/~tomoya03/shtml/algorithm/Hougan.htm
# 線分間の交差判定
def intersect?(p1,p2, p3,p4)
  if ((p1.x - p2.x) * (p3.y - p1.y) + (p1.y - p2.y) * (p1.x - p3.x)) * 
    ((p1.x - p2.x) * (p4.y - p1.y) + (p1.y - p2.y) * (p1.x - p4.x)) > 0
    return false
  else
    return true
  end
end

Origin = Point.new(0,0)
count = 0

TR.each do |line|
  points = line.split(",").map{|e| e.to_i}
  p1 = Point.new(points[0],points[1])
  p2 = Point.new(points[2],points[3])
  p3 = Point.new(points[4],points[5])
  
  # 重心
  c  = Point.new((p1.x + p2.x + p3.x) / 3.0, (p1.y + p2.y + p3.y) / 3.0)
  
  # どれかひとつとでも交差してれば原点は包含してない
  count += 1 unless intersect?(p1,p2,c,Origin) || intersect?(p2,p3,c,Origin) || intersect?(p1,p3,c,Origin)
end

p count