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;;; | ||
;;; Travelling Salesman Problem | ||
;;; | ||
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(define $station string) | ||
(define $price integer) | ||
(define $graph (multiset [station (multiset [station price])])) | ||
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(define $graph-data | ||
{["Berlin" { ["St. Louis" 14] ["Oxford" 2] ["Nara" 14] ["Vancouver" 13]}] | ||
["St. Louis" {["Berlin" 14] ["Oxford" 12] ["Nara" 18] ["Vancouver" 6]}] | ||
["Oxford" {["Berlin" 2] ["St. Louis" 12] ["Nara" 15] ["Vancouver" 10]}] | ||
["Nara" {["Berlin" 14] ["St. Louis" 18] ["Oxford" 15] ["Vancouver" 12]}] | ||
["Vancouver" {["Berlin" 13] ["St. Louis" 6] ["Oxford" 10] ["Nara" 12] }]}) | ||
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(define $trips ; List up all routes that visit each city exactly once and return to Tokyo | ||
(match-all graph-data graph | ||
[<cons [,"Berlin" <cons [$s_1 $p_1] _>] | ||
(loop $i [2 4] | ||
<cons [,s_(- i 1) <cons [$s_i $p_i] _>] | ||
...> | ||
<cons [,s_4 <cons [(& ,"Berlin" $s_5) $p_5] _>] | ||
_>)> | ||
[(sum (map (lambda [$i] p_i) (between 1 5))) | ||
s]])) | ||
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(define $main | ||
(lambda [$args] | ||
(do {[(print "Route list:")] | ||
[(each (compose show print) trips)] | ||
[(write "Lowest price:")] | ||
[(print (show (min (map (lambda [$x $y] x) trips))))]}))) | ||
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(fact 10000) |
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