```Begin forwarded message:

> From: James Koppel <darmaniiii / yahoo.com>
> Date: April 1, 2007 8:04:18 PM CDT
> To: submission / rubyquiz.com, submission / rubyquiz.com
> Subject: Solution to #118
>
> Following is a solution to Ruby Quiz #118. It implements the basic
> requirement, time-tolerance, and changeable button dimensions (by
> changing \$w and \$h in the source code). Note that some of its
> answers are different from the examples, as I am used to microwaves
> that only allow two digits for the seconds...
>
> \$buttons = ['1','2','3',
>             '4','5','6',
>             '7','8','9',
>             nil,'0','*']
>
> \$w = 1
> \$h = 1
>
> def microwave(seconds, tolerance)
>   combinations = []
>   low = [seconds - tolerance, 0].max
>   high = seconds + tolerance
>   Range.new(low,high).each do |t|
>     combinations << ((t / 60).floor.to_s + (t % 60).to_s.sub(/^
> ([0-9])\$/, '0\1') + '*')
>     combinations << ((t / 60 - 1).floor.to_s + (t % 60 + 60).to_s +
> '*') if t % 60 < 40
>   end
>   combinations.collect! {|c| c.gsub(/^0/,"")}
>   efficiency = combinations.collect {|comb| computeTotalDistance
> (comb)}
>   combinations[efficiency.index(efficiency.min)]
> end
>
> def computeTotalDistance(comb)
>   distance = 0
>   lastChar = nil
>   comb.each_char do |c|
>     distance += computeDistance(lastChar + c) if lastChar
>     lastChar = c
>   end
>   distance
> end
>
> def computeDistance(comb)
>   c1, c2 = comb[0,1], comb[1,1]
>   x1, y1 = \$buttons.index(c1) % 3 * \$w, (\$buttons.index(c1) /
> 3).floor * \$h
>   x2, y2 = \$buttons.index(c2) % 3 * \$w, (\$buttons.index(c2) /
> 3).floor * \$h
>   ((x2 - x1) ** 2 + (y2 - y1) ** 2) ** 0.5
> end
>
> puts "Enter number of seconds to microwave, followed by the tolerance"
> puts "The most efficient key-pattern is " + microwave
> (gets.chomp.to_i, gets.chomp.to_i)
>
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```