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#!/usr/bin/env ruby
class Firewall
class Layer
def initialize(range)
@period = (range - 1) * 2
end
def will_capture_at?(time)
return time % @period == 0
end
end
def initialize
@layers = []
end
def add_layer!(depth, range)
@layers[depth] = Layer.new(range)
end
def will_capture_at?(time)
(0...@layers.length).each do |i|
next if @layers[i].nil?
return true if @layers[i].will_capture_at?(time + i)
end
return false
end
end
input = $stdin.readlines.map(&:chomp).map{|l|l.split(': ').map(&:to_i)}
firewall = Firewall.new
input.each do |line|
firewall.add_layer!(line[0], line[1])
end
delay = 0
delay += 1 while firewall.will_capture_at?(delay)
puts delay
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