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