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-- Author: Yuchen Pei (me@ypei.me)
import Data.List.Split (splitOneOf)
import Data.Ord (comparing)
import Data.List (minimumBy, sort)
parseLine :: [Char] -> [Int]
parseLine xs = fmap read $ filter (not . null) $ splitOneOf "pva, =<>" xs
fst' (x, y, z) = x
snd' (x, y, z) = y
thd' (x, y, z) = z
list2Tuple :: [Int] -> ((Int, Int, Int), (Int, Int, Int), (Int, Int, Int))
list2Tuple xs = ((xs!!0, xs!!1, xs!!2), (xs!!3, xs!!4, xs!!5), (xs!!6, xs!!7, xs!!8))
maxPass = 100
group :: Eq a => [(a, a, a)] -> [[(a, a, a)]] -> [[(a, a, a)]]
group [] acc = acc
group (w:ws) [] = group ws [[w]]
group ((x, y, z):ws) (((x', y', z'):us):vs) =
if x == x' then group ws (((x, y, z):(x', y', z'):us):vs)
else group ws ([(x, y, z)]:((x', y', z'):us):vs)
rmdup :: [[a]] -> [a]
rmdup xs = mconcat $ filter ((==1) . length) xs
step :: Int -> ([(Int, Int, Int)], [(Int, Int, Int)], [(Int, Int, Int)]) -> Int
step passes (ps, vs, as)
| passes > maxPass = length ps
| length newtri == length ps = step (passes + 1) (newps, newvs, as)
| length newtri < length ps = step 0 (unzip3 newtri)
where newvs = zipWith plus vs as
newps = zipWith plus ps newvs
tri = zip3 ps vs as
newtri = rmdup $ group (sort tri) []
solve2 :: [Char] -> Int
solve2 xs = step 0 $ unzip3 $ (list2Tuple . parseLine) <$> lines xs
f :: [Int] -> Int
f xs = abs (xs !! 6) + abs (xs !! 7) + abs (xs !! 8)
argmin :: Ord a => [a] -> Int
argmin xs = fst $ minimumBy (comparing snd) $ zipWith (,) [0..] xs
solve1 :: [Char] -> Int
solve1 xs = argmin $ (f . parseLine) <$> lines xs
plus :: (Int, Int, Int) -> (Int, Int, Int) -> (Int, Int, Int)
plus (x, y, z) (x', y', z') = (x + x', y + y', z + z')
input0 = "p=< 3,0,0>, v=< 2,0,0>, a=<-1,0,0>\n p=< 4,0,0>, v=< 0,0,0>, a=<-2,0,0>"
input1 = "p=<-6,0,0>, v=< 3,0,0>, a=< 0,0,0>\np=<-4,0,0>, v=< 2,0,0>, a=< 0,0,0>\np=<-2,0,0>, v=< 1,0,0>, a=< 0,0,0>\np=< 3,0,0>, v=<-1,0,0>, a=< 0,0,0>"
input = "p=<-1724,-1700,5620>, v=<44,-10,-107>, a=<2,6,-9>\np=<551,3425,4570>, v=<-21,-7,-182>, a=<0,-10,0>\np=<-524,-3400,2495>, v=<22,19,5>, a=<0,9,-8>\np=<-123,-125,419>, v=<25,54,-12>, a=<-2,-5,-2>\np=<-3811,3483,1459>, v=<162,-112,-26>, a=<9,-12,-8>\np=<-827,475,771>, v=<52,-26,0>, a=<0,0,-6>\np=<293,1547,-669>, v=<-18,-93,-12>, a=<0,0,6>\np=<-251,-165,2787>, v=<16,-3,-160>, a=<0,2,-2>\np=<-907,-309,-565>, v=<-11,-96,75>, a=<8,14,-5>\np=<277,265,394>, v=<-80,-8,89>, a=<8,-2,-16>\np=<158,-1933,779>, v=<-34,29,39>, a=<3,14,-13>\np=<1334,-449,2>, v=<-73,-2,-18>, a=<-3,4,2>\np=<-248,-2136,-1678>, v=<25,126,42>, a=<-1,3,10>\np=<-108,-3389,2431>, v=<30,148,-79>, a=<-3,12,-13>\np=<291,-1569,1010>, v=<9,78,-30>, a=<-4,4,-6>\np=<-1270,-169,-761>, v=<128,-52,104>, a=<-5,8,-7>\np=<473,-1765,-950>, v=<-4,62,65>, a=<-4,8,0>\np=<-3434,5581,4276>, v=<-88,-93,-34>, a=<13,-6,-7>\np=<-4844,-3149,-2204>, v=<21,105,-35>, a=<9,0,7>\np=<8176,-6974,8131>, v=<-72,93,-54>, a=<-13,9,-14>\np=<-1814,6046,-5354>, v=<-18,-93,8>, a=<5,-7,11>\np=<2581,-4244,-4379>, v=<68,2,115>, a=<-10,9,2>\np=<-3053,-52,-1564>, v=<58,-53,52>, a=<8,5,2>\np=<3079,3875,-1480>, v=<-80,-86,26>, a=<-6,-9,4>\np=<-1289,2006,-2551>, v=<-26,-52,99>, a=<8,-4,2>\np=<6589,4375,-1445>, v=<-120,-149,7>, a=<-11,-2,4>\np=<-286,3400,-2070>, v=<64,-97,-7>, a=<-4,-3,7>\np=<3656,2161,-3059>, v=<-28,107,29>, a=<-4,-9,3>\np=<7724,-989,5185>, v=<-178,-9,-126>, a=<-2,2,-1>\np=<-214,127,2881>, v=<98,34,-99>, a=<-5,-2,1>\np=<-160,-5705,181>, v=<4,48,-98>, a=<0,6,5>\np=<1966,616,-1461>, v=<-113,25,-11>, a=<3,-3,4>\np=<-1064,-839,-4146>, v=<19,58,63>, a=<1,-2,5>\np=<2601,-2432,-793>, v=<-148,41,50>, a=<0,10,-1>\np=<3114,-3188,683>, v=<-110,140,-89>, a=<-7,4,5>\np=<801,-1685,-2143>, v=<47,28,49>, a=<-10,7,7>\np=<-192,1521,3967>, v=<45,-79,-102>, a=<-2,2,0>\np=<-5925,-8229,-12491>, v=<12,51,80>, a=<7,8,12>\np=<-3897,-624,3460>, v=<120,36,11>, a=<-1,-1,-5>\np=<-7563,-8853,-2663>, v=<14,-33,48>, a=<9,13,1>\np=<-1050,9867,-4457>, v=<-13,-73,14>, a=<2,-9,5>\np=<1485,-10218,6736>, v=<-38,-18,-173>, a=<0,14,0>\np=<-3780,-11193,3772>, v=<-43,127,-117>, a=<7,8,1>\np=<-3117,0,-10931>, v=<40,-20,140>, a=<2,1,7>\np=<-7992,741,-8981>, v=<45,-59,130>, a=<8,2,5>\np=<-3969,-1262,-5>, v=<56,-29,86>, a=<6,5,-6>\np=<-1785,670,4825>, v=<-22,-11,-101>, a=<6,-1,-5>\np=<3591,1930,807>, v=<18,89,86>, a=<-10,-11,-8>\np=<4431,2812,-2637>, v=<-12,-15,-23>, a=<-10,-6,8>\np=<9360,4333,-5513>, v=<-140,-59,98>, a=<-10,-5,5>\np=<5020,830,811>, v=<-64,6,-26>, a=<-6,-2,0>\np=<6477,-3169,-5513>, v=<-143,39,-30>, a=<-4,4,13>\np=<-529,-4998,-1173>, v=<51,-14,-10>, a=<-2,11,3>\np=<-435,-1347,-268>, v=<1,49,-3>, a=<1,0,1>\np=<1231,-3321,-4972>, v=<-73,47,78>, a=<2,5,7>\np=<727,5065,740>, v=<3,-93,48>, a=<-2,-6,-5>\np=<-1252,4570,2332>, v=<15,-9,-1>, a=<4,-19,-10>\np=<-1546,-2045,631>, v=<73,75,36>, a=<0,2,-6>\np=<470,-2150,-4703>, v=<10,47,48>, a=<-3,5,16>\np=<-2533,433,1849>, v=<87,-21,-44>, a=<3,0,-4>\np=<6140,-3494,-3632>, v=<-150,100,85>, a=<-13,6,8>\np=<-1672,-1541,-1637>, v=<46,-48,56>, a=<3,11,2>\np=<-1882,-1478,106>, v=<67,103,17>, a=<2,-3,-2>\np=<-848,1295,209>, v=<62,-128,24>, a=<5,0,-8>\np=<152,580,119>, v=<-49,-7,-66>, a=<7,-9,10>\np=<107,-350,-611>, v=<38,31,51>, a=<-8,1,2>\np=<-628,-720,-331>, v=<-15,46,23>, a=<15,5,2>\np=<-543,885,534>, v=<48,-76,-25>, a=<2,-2,-5>\np=<772,-105,-881>, v=<-1,23,133>, a=<-13,-2,-8>\np=<-2471,-873,-4405>, v=<-50,26,60>, a=<7,0,4>\np=<1286,2000,-818>, v=<32,-6,112>, a=<-4,-3,-5>\np=<5094,5434,5217>, v=<-10,-107,-83>, a=<-8,-3,-4>\np=<5978,-1961,6067>, v=<-106,58,-3>, a=<-4,0,-10>\np=<-3233,-1295,1581>, v=<29,-22,-81>, a=<3,3,2>\np=<-6785,6993,2543>, v=<-65,-94,45>, a=<13,-5,-6>\np=<-643,-1443,11682>, v=<-3,-56,-88>, a=<1,5,-12>\np=<-8561,7474,1729>, v=<-131,-50,67>, a=<19,-8,-6>\np=<-569,-3182,4467>, v=<-43,-28,107>, a=<3,6,-12>\np=<7867,-9398,-4783>, v=<-100,7,34>, a=<-6,13,5>\np=<2835,11840,-3488>, v=<-21,-54,-39>, a=<-3,-14,7>\np=<1910,-2405,-1120>, v=<-34,-11,30>, a=<-1,4,0>\np=<-3487,2750,1811>, v=<122,15,-82>, a=<1,-9,1>\np=<-1303,-3516,-1712>, v=<-16,40,67>, a=<5,7,0>\np=<-3435,-812,5295>, v=<-15,44,-108>, a=<11,-1,-7>\np=<-3230,2132,-3519>, v=<70,-95,0>, a=<4,1,10>\np=<-4647,-364,69>, v=<30,82,-57>, a=<11,-5,4>\np=<-2112,1183,-5456>, v=<27,-18,61>, a=<4,-2,11>\np=<1164,3419,1668>, v=<36,-104,-24>, a=<-6,-2,-3>\np=<1255,1105,5022>, v=<46,12,-153>, a=<-7,-4,-3>\np=<345,-2223,-7276>, v=<0,5,185>, a=<-1,6,7>\np=<735,-2054,2526>, v=<-123,39,-30>, a=<7,3,-5>\np=<-611,476,-1584>, v=<-46,26,111>, a=<9,-6,-2>\np=<-1223,-867,-156>, v=<71,33,27>, a=<0,2,-2>\np=<341,408,133>, v=<-21,30,82>, a=<0,-6,-10>\np=<-1291,-68,1510>, v=<30,4,-35>, a=<5,0,-6>\np=<-458,-646,1136>, v=<125,-43,-139>, a=<-11,9,8>\np=<-917,2516,286>, v=<26,-67,46>, a=<3,-9,-7>\np=<-33,2686,1204>, v=<-35,-86,-71>, a=<4,-8,0>\np=<5067,-153,2717>, v=<-146,18,-88>, a=<-17,-1,-8>\np=<443,-340,592>, v=<99,20,1>, a=<-14,0,-4>\np=<-1174,-1630,-1150>, v=<30,99,41>, a=<9,4,7>\np=<1361,983,1086>, v=<-109,-74,-5>, a=<1,0,-11>\np=<-1837,-1162,735>, v=<102,105,-48>, a=<6,-2,-1>\np=<984,372,-2047>, v=<-108,29,131>, a=<5,-8,4>\np=<-381,-148,2191>, v=<-17,76,-139>, a=<7,-9,-4>\np=<8982,3891,5939>, v=<33,43,-156>, a=<-17,-9,-1>\np=<1094,3109,-9786>, v=<55,-39,79>, a=<-5,-3,12>\np=<6993,-376,2250>, v=<-31,46,40>, a=<-10,-2,-6>\np=<2976,-5129,2345>, v=<-114,0,-47>, a=<1,11,-2>\np=<12156,-1469,3035>, v=<-172,33,-101>, a=<-15,1,0>\np=<-4194,-2864,-8005>, v=<63,95,112>, a=<5,0,10>\np=<-669,3091,-9325>, v=<-132,36,187>, a=<10,-9,8>\np=<-5304,11086,-145>, v=<69,-122,5>, a=<7,-16,0>\np=<-720,2612,-1116>, v=<80,-172,46>, a=<-4,5,0>\np=<-5916,6128,-816>, v=<84,-81,-29>, a=<13,-14,5>\np=<780,-3352,2868>, v=<5,14,-95>, a=<-3,10,-2>\np=<-1524,-2572,-1560>, v=<-99,44,52>, a=<13,5,1>\np=<2400,2156,1248>, v=<25,-103,35>, a=<-10,1,-7>\np=<-2232,680,-1716>, v=<18,-54,-29>, a=<6,2,8>\np=<-1968,-160,1764>, v=<7,56,-49>, a=<6,-4,-2>\np=<2496,-808,-4140>, v=<-29,-17,97>, a=<-6,4,6>\np=<2628,-172,-1512>, v=<-122,19,25>, a=<1,-1,3>\np=<-876,-2812,2052>, v=<-26,4,-11>, a=<5,9,-6>\np=<-1338,-3098,-4448>, v=<59,17,-10>, a=<0,10,17>\np=<1376,2307,-2194>, v=<61,-86,-48>, a=<-10,-1,12>\np=<-1982,30,-2355>, v=<15,-83,19>, a=<6,7,7>\np=<3561,-3190,-2309>, v=<26,21,53>, a=<-15,10,4>\np=<640,4377,1969>, v=<-51,-68,-1>, a=<2,-10,-7>\np=<2273,-2063,-1780>, v=<-26,20,30>, a=<-6,6,4>\np=<4297,-5421,2199>, v=<-54,58,-11>, a=<-11,15,-7>\np=<2020,-3121,-4862>, v=<-15,114,164>, a=<-6,2,4>\np=<4021,1410,6086>, v=<-174,-59,-36>, a=<0,0,-19>\np=<-710,-514,-103>, v=<6,2,3>, a=<4,3,0>\np=<174,-2690,-749>, v=<-37,22,23>, a=<3,15,2>\np=<650,-1551,1835>, v=<43,36,-111>, a=<-9,6,0>\np=<-2342,-1262,-2483>, v=<120,28,62>, a=<2,5,9>\np=<-1611,1220,-375>, v=<95,-46,-17>, a=<0,-3,4>\np=<1500,540,832>, v=<-25,48,-88>, a=<-7,-9,4>\np=<-149,1764,934>, v=<36,-42,23>, a=<-3,-7,-9>\np=<-728,868,1477>, v=<28,-2,-61>, a=<1,-5,-2>\np=<-2294,2227,-2582>, v=<-37,-106,41>, a=<17,-2,11>\np=<-2033,-293,2458>, v=<-42,-4,-49>, a=<16,2,-9>\np=<2053,499,478>, v=<35,-10,-72>, a=<-16,-2,5>\np=<159,-925,-753>, v=<-10,78,-15>, a=<0,-1,10>\np=<380,-782,534>, v=<1,25,40>, a=<-4,5,-12>\np=<159,-1705,-64>, v=<-10,96,2>, a=<0,5,0>\np=<-1917,5395,-3194>, v=<24,-11,-39>, a=<2,-9,8>\np=<2175,1237,-11510>, v=<-66,-21,94>, a=<0,-1,15>\np=<-4534,-1053,1496>, v=<133,-92,-10>, a=<9,14,-6>\np=<-1564,-423,1446>, v=<79,13,-60>, a=<0,1,-1>\np=<226,-1933,96>, v=<0,99,-3>, a=<-1,0,0>\np=<1106,-983,-5614>, v=<-23,83,209>, a=<-3,-3,7>\np=<-4004,-873,346>, v=<33,-59,-26>, a=<16,10,1>\np=<446,-73,16>, v=<10,-15,1>, a=<-3,2,0>\np=<-1954,2537,2276>, v=<67,-30,-28>, a=<3,-9,-8>\np=<1679,2113,1151>, v=<-125,-21,-49>, a=<4,-8,-1>\np=<-1661,963,3671>, v=<84,-37,-70>, a=<0,-1,-11>\np=<549,-1907,-1969>, v=<47,75,65>, a=<-7,2,3>\np=<-1211,3043,1101>, v=<114,-183,-15>, a=<-5,3,-4>\np=<3599,4543,-569>, v=<-53,-216,16>, a=<-12,-1,1>\np=<1259,943,-3929>, v=<-62,69,58>, a=<0,-11,13>\np=<3269,1153,2001>, v=<-5,-141,-81>, a=<-15,8,-2>\np=<-301,513,-3429>, v=<-68,17,117>, a=<8,-4,5>\np=<20,-3664,-1168>, v=<28,-75,2>, a=<-2,15,3>\np=<6905,-2233,-142>, v=<-45,12,6>, a=<-15,5,0>\np=<263,-5203,6014>, v=<159,24,-54>, a=<-12,12,-12>\np=<1910,-3232,-5164>, v=<0,35,66>, a=<-5,6,9>\np=<2099,1844,3854>, v=<-189,15,-58>, a=<8,-6,-6>\np=<263,2384,1451>, v=<-65,-89,17>, a=<4,0,-5>\np=<-1951,-370,-3166>, v=<17,13,6>, a=<4,0,8>\np=<3970,-2112,-15695>, v=<19,33,63>, a=<-6,1,17>\np=<-944,-84,-8441>, v=<-95,-39,77>, a=<6,2,7>\np=<3463,189,-4463>, v=<-28,14,-45>, a=<-3,-1,8>\np=<2527,-3126,-6179>, v=<76,-121,-1>, a=<-7,10,8>\np=<-515,5454,-8675>, v=<54,39,23>, a=<-2,-9,10>\np=<-5195,-6636,-6881>, v=<94,29,117>, a=<2,7,3>\np=<-9056,2178,-7466>, v=<73,43,12>, a=<8,-5,9>\np=<-7262,-4647,-7232>, v=<67,78,6>, a=<6,2,9>\np=<10444,5025,-5594>, v=<-87,-50,44>, a=<-9,-4,5>\np=<-1494,-5162,-5206>, v=<86,48,79>, a=<-2,12,10>\np=<-2994,-2912,3394>, v=<3,62,99>, a=<9,4,-18>\np=<1531,-5762,544>, v=<-48,163,44>, a=<-1,5,-5>\np=<6856,-812,2669>, v=<-196,-22,-15>, a=<-6,4,-7>\np=<-1519,-2937,-4531>, v=<61,-28,91>, a=<0,11,7>\np=<7681,-2187,-4931>, v=<-99,7,172>, a=<-16,6,2>\np=<831,-5587,-2956>, v=<-59,52,2>, a=<2,13,9>\np=<-1969,-862,-4106>, v=<40,6,87>, a=<3,2,6>\np=<310,-7295,-12457>, v=<49,102,90>, a=<-3,5,13>\np=<3011,-13067,-7092>, v=<52,68,21>, a=<-7,15,9>\np=<3011,2621,6302>, v=<-81,-90,1>, a=<0,1,-9>\np=<1087,10465,3342>, v=<47,-36,43>, a=<-4,-13,-7>\np=<-3538,1733,-3355>, v=<-151,48,91>, a=<13,-5,0>\np=<-2057,-878,-2342>, v=<105,112,132>, a=<3,-7,2>\np=<567,914,2730>, v=<26,17,-151>, a=<-7,-9,-2>\np=<1167,-6,826>, v=<-37,49,2>, a=<-4,-6,-6>\np=<-433,938,-214>, v=<46,-61,-18>, a=<-2,0,4>\np=<-281,-670,114>, v=<-57,133,72>, a=<9,-11,-9>\np=<1239,1162,-2622>, v=<-50,-75,158>, a=<-3,0,1>\np=<-685,-1136,-2529>, v=<-19,-4,91>, a=<6,7,5>\np=<1475,-425,-1782>, v=<13,42,97>, 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