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fun inverse_captcha_2 input = let
val digits = List.map (fn c => (Char.ord c) - 48) (explode input)
fun halve [] = ([], [])
| halve xs = let
val length = (List.length xs) div 2
val firstHalf = List.take(xs, length)
val secondHalf = List.drop(xs, length)
in
(xs, secondHalf @ firstHalf)
end
fun inverse_captcha_2' ([], []) acc = acc
| inverse_captcha_2' (x::xs, y::ys) acc = if x = y
then inverse_captcha_2' (xs, ys) acc + x
else inverse_captcha_2' (xs, ys) acc
in
inverse_captcha_2' (halve digits) 0
end
val part2_answer = Int.toString (inverse_captcha_2 "57276274387944537823652626177853384411146325384494935924454336611953119173638191671326254832624841593421667683474349154668177743437745965461678636631863541462893547616877914914662358836365421198516263335926544716331814125295712581158399321372683742773423626286669759415959391374744214595682795818615532673877868424196926497731144319736445141728123322962547288572434564178492753681842244888368542423832228211172842456231275738182764232265933625119312598161192193214898949267765417468348935134618964683127194391796165368145548814473129857697989322621368744725685183346825333247866734735894493395218781464346951777873929898961358796274889826894529599645442657423438562423853247543621565468819799931598754753467593832328147439341586125262733737128386961596394728159719292787597426898945198788211417854662948358422729471312456437778978749753927251431677533575752312447488337156956217451965643454445329758327129966657189332824969141448538681979632611199385896965946849725421978137753366252459914913637858783146735469758716752765718189175583956476935185985918536318424248425426398158278111751711911227818826766177996223718837428972784328925743869885232266127727865267881592395643836999244218345184474613129823933659422223685422732186536199153988717455568523781673393698356967355875123554797755491181791593156433735591529495984256519631187849654633243225118132152549712643273819314433877592644693826861523243946998615722951182474773173215527598949553185313259992227879964482121769617218685394776778423378182462422788277997523913176326468957342296368178321958626168785578977414537368686438348124283789748775163821457641135163495649331144436157836647912852483177542224864952271874645274572426458614384917923623627532487625396914111582754953944965462576624728896917137599778828769958626788685374749661741223741834844643725486925886933118382649581481351844943368484853956759877215252766294896496444835264357169642341291412768946589781812493421379575569593678354241223363739129813633236996588711791919421574583924743119867622229659211793468744163297478952475933163259769578345894367855534294493613767564497137369969315192443795512585")
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