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#lang debug racket
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(require "hacs.rkt")
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(module+ test (require rackunit))
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(define (map-coloring-csp colors neighbors)
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(define variables (remove-duplicates (flatten neighbors) eq?))
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(define vds (for/list ([var (in-list variables)])
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($var var colors)))
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(define cs (for*/list ([neighbor neighbors]
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[target (cdr neighbor)])
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($constraint (list (car neighbor) target) neq?)))
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($csp vds cs))
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(define (parse-colors str) (map string->symbol (map string-downcase (regexp-match* "." str))))
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(define(parse-neighbors str)
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(define recs (map string-trim (string-split str ";")))
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(for/list ([rec recs])
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(match-define (cons head tail) (string-split rec ":"))
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(map string->symbol (map string-downcase (map string-trim (cons head (string-split (if (pair? tail)
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(car tail)
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""))))))))
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(current-inference forward-check)
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(current-select-variable minimum-remaining-values)
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(current-order-values shuffle)
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(define aus (map-coloring-csp (parse-colors "RGB")
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(parse-neighbors "SA: WA NT Q NSW V; NT: WA Q; NSW: Q V; T: ")))
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(module+ test
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(check-equal? (length (solve* aus)) 18))
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(define usa (map-coloring-csp (parse-colors "RGBY")
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(parse-neighbors "WA: OR ID; OR: ID NV CA; CA: NV AZ; NV: ID UT AZ; ID: MT WY UT;
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UT: WY CO AZ; MT: ND SD WY; WY: SD NE CO; CO: NE KA OK NM; NM: OK TX;
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ND: MN SD; SD: MN IA NE; NE: IA MO KA; KA: MO OK; OK: MO AR TX;
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TX: AR LA; MN: WI IA; IA: WI IL MO; MO: IL KY TN AR; AR: MS TN LA;
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LA: MS; WI: MI IL; IL: IN KY; IN: OH KY; MS: TN AL; AL: TN GA FL;
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MI: OH IN; OH: PA WV KY; KY: WV VA TN; TN: VA NC GA; GA: NC SC FL;
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PA: NY NJ DE MD WV; WV: MD VA; VA: MD DC NC; NC: SC; NY: VT MA CT NJ;
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NJ: DE; DE: MD; MD: DC; VT: NH MA; MA: NH RI CT; CT: RI; ME: NH;
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HI: ; AK:")))
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(module+ test
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(check-true (pair? (solve usa))))
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(define fr (map-coloring-csp (parse-colors "RGBY")
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(parse-neighbors "AL: LO FC; AQ: MP LI PC; AU: LI CE BO RA LR MP; BO: CE IF CA FC RA
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AU; BR: NB PL; CA: IF PI LO FC BO; CE: PL NB NH IF BO AU LI PC; FC: BO
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CA LO AL RA; IF: NH PI CA BO CE; LI: PC CE AU MP AQ; LO: CA AL FC; LR:
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MP AU RA PA; MP: AQ LI AU LR; NB: NH CE PL BR; NH: PI IF CE NB; NO:
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PI; PA: LR RA; PC: PL CE LI AQ; PI: NH NO CA IF; PL: BR NB CE PC; RA:
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AU BO FC PA LR")))
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(module+ test
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(check-true (pair? (solve fr))))
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(module+ main
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(solve aus))
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