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require "letters"
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distances = Hash.new {|h,k| h[k] = {} }
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DATA.read.scan(/^(.*) to (.*) = (.*)$/).each do |from, to, distance|
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distance = distance.to_i
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distances[to][from] = distance
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distances[from][to] = distance
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end
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locations = distances.keys
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puts locations.permutation.map {|p| p.each_cons(2).map {|a,b| distances[a][b] }.inject(&:+) }.min
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__END__
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Faerun to Tristram = 65
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Faerun to Tambi = 129
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Faerun to Norrath = 144
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Faerun to Snowdin = 71
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Faerun to Straylight = 137
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Faerun to AlphaCentauri = 3
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Faerun to Arbre = 149
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Tristram to Tambi = 63
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Tristram to Norrath = 4
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Tristram to Snowdin = 105
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Tristram to Straylight = 125
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Tristram to AlphaCentauri = 55
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Tristram to Arbre = 14
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Tambi to Norrath = 68
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Tambi to Snowdin = 52
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Tambi to Straylight = 65
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Tambi to AlphaCentauri = 22
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Tambi to Arbre = 143
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Norrath to Snowdin = 8
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Norrath to Straylight = 23
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Norrath to AlphaCentauri = 136
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Norrath to Arbre = 115
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Snowdin to Straylight = 101
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Snowdin to AlphaCentauri = 84
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Snowdin to Arbre = 96
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Straylight to AlphaCentauri = 107
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Straylight to Arbre = 14
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AlphaCentauri to Arbre = 46
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