Day 20

This gives the right answer, but that 100 is a HIGHLY magic constant.
Increase if incorrect. `prune` should work, but doesn't for some reason.
This is sad but I've spent enough time on this as is.

2 files changed, 1102 insertions, 0 deletions

diff --git a/2017/20.hs b/2017/20.hs
new file mode 100644
index 0000000..497ff58
--- /dev/null
+++ b/2017/20.hs
@@ -0,0 +1,102 @@
+{-# LANGUAGE TupleSections #-}
+import Control.Monad
+import Data.Function
+import Data.List
+import Data.Maybe
+import Debug.Trace
+
+
+uniqOn :: Eq b => (a -> b) -> [a] -> [a]
+uniqOn f (a:b:cs) | f a == f b = uniqOn f (b:cs)
+                  | otherwise = a : uniqOn f (b:cs)
+uniqOn _ l = l
+
+cartprod3 :: [a] -> [b] -> [c] -> [(a, b, c)]
+cartprod3 as bs cs = [(a, b, c) | a <- as, b <- bs, c <- cs]
+
+type Vec = (Int, Int, Int)
+
+data Particle = Particle {pP :: Vec, pV :: Vec, pA :: Vec}
+  deriving (Show, Eq)
+
+add :: Vec -> Vec -> Vec
+add (a, b, c) (d, e, f) = (a + d, b + e, c + f)
+
+sub :: Vec -> Vec -> Vec
+sub (a, b, c) (d, e, f) = (a - d, b - e, c - f)
+
+mul :: Int -> Vec -> Vec
+mul n (a, b, c) = (n * a, n * b, n * c)
+
+parse :: String -> Particle
+parse str =
+    let [p, v, a] = map (parseVec . init . init . drop 3) (words (str ++ ","))
+    in Particle p v a
+
+parseVec :: String -> Vec
+parseVec str =
+    let [x, y, z] = map read (words [if c == ',' then ' ' else c | c <- str])
+    in (x, y, z)
+
+man :: Vec -> Int
+man (x, y, z) = abs x + abs y + abs z
+
+vecmax :: Vec -> Int
+vecmax (x, y, z) = maximum [abs x, abs y, abs y]
+
+distance :: Particle -> Int
+distance = man . pP
+
+simulate :: Int -> Particle -> Particle
+simulate t (Particle pos vel acc) =
+    let p = add pos $ add (mul t vel) $ mul (t * (t + 1) `div` 2) acc
+        v = add vel (mul t acc)
+    in Particle p v acc
+
+collide' :: Int -> Int -> Int -> [Int]
+collide' dp' dv' da' =
+    let (dp, dv, da) = (fromIntegral dp', fromIntegral dv', fromIntegral da') :: (Double, Double, Double)
+        discr = (dv + da/2) ^ 2 - 2 * da * dp
+        s = sqrt discr
+        t1 = (-dv - da/2 + s) / da
+        t2 = (-dv - da/2 - s) / da
+        rt1 = round t1
+        rt2 = round t2
+    in if discr < 0 || s * s /= discr then []
+       else (if t1 >= 0 && fromIntegral rt1 == t1 then [rt1] else []) ++
+            (if t2 >= 0 && fromIntegral rt2 == t2 then [rt2] else [])
+
+collide :: Particle -> Particle -> Maybe Int
+collide part1@(Particle p1 v1 a1) part2@(Particle p2 v2 a2) =
+    let (dpx, dpy, dpz) = sub p1 p2
+        (dvx, dvy, dvz) = sub v1 v2
+        (dax, day, daz) = sub a1 a2
+        ts = [a
+             | (a, b, c) <- cartprod3 (collide' dpx dvx dax) (collide' dpy dvy day) (collide' dpz dvz daz),
+               a == b && b == c]
+        [] = [pP (simulate t part1) /= pP (simulate t part2) | t <- ts]
+    in if null ts then Nothing else Just (minimum ts)
+
+prune :: [Particle] -> [Particle]
+prune parts = case traceShowId $ groupBy ((==) `on` snd) $ sortOn snd $
+                       catMaybes [fmap ((pi, qi),) (collide p q)
+                                 | (p, pi) <- zip parts [0..], (q, qi) <- zip parts [0..], pi /= qi]
+              of
+    [] -> parts
+    (colls : _) ->
+        let indices = concatMap (\((a, b), _) -> [a, b]) colls
+            parts' = [p | (p, i) <- zip parts [0..], not (i `elem` indices)]
+        in prune parts'
+
+main :: IO ()
+main = do
+    input <- liftM (map parse . lines) (readFile "20.in")
+    let bigt = maximum (map (vecmax . pP) input)
+        parts = map (simulate bigt) input
+        sorted = sortOn (man.pA.fst) $ sortOn (man.pV.fst) $ sortOn (man.pP.fst) $ zip parts [0..]
+    print $ head (map snd sorted)
+
+    print $ length $ iterate (map head . filter ((== 1) . length) . groupBy ((==) `on` pP) . sortOn pP . map (simulate 1)) (sortOn pP input) !! 100
+    -- mapM_ print $ groupBy ((==) `on` snd) $ sortOn snd $ catMaybes [fmap ((pi, qi),) (collide p q) | (p, pi) <- zip input [0..], (q, qi) <- zip input [0..]]
+
+    -- print $ length (prune input)
diff --git a/2017/20.in b/2017/20.in
new file mode 100644
index 0000000..803e731
--- /dev/null
+++ b/2017/20.in
@@ -0,0 +1,1000 @@
+p=<-1027,-979,-188>, v=<7,60,66>, a=<9,1,-7>
+p=<-1846,-1539,-1147>, v=<88,145,67>, a=<6,-5,2>
+p=<338,820,1541>, v=<-23,-16,-80>, a=<0,-6,-4>
+p=<-3162,-1301,225>, v=<92,-52,59>, a=<18,19,-10>
+p=<1780,554,-1980>, v=<-126,63,74>, a=<0,-14,9>
+p=<-320,-363,-489>, v=<54,-29,35>, a=<-4,7,0>
+p=<-229,1492,-573>, v=<10,-199,116>, a=<1,12,-10>
+p=<-705,2178,-769>, v=<-1,-68,25>, a=<7,-12,4>
+p=<-530,-62,-1119>, v=<-6,2,35>, a=<6,0,6>
+p=<-1132,-342,848>, v=<52,52,-68>, a=<4,-4,1>
+p=<1238,-2661,445>, v=<23,149,8>, a=<-6,-3,-2>
+p=<1742,1275,4381>, v=<-98,10,-206>, a=<2,-5,2>
+p=<4142,2523,2485>, v=<-23,58,-2>, a=<-12,-13,-8>
+p=<-2410,-2637,-1859>, v=<100,-77,-21>, a=<0,15,8>
+p=<3038,987,-2135>, v=<-52,-78,3>, a=<-6,3,7>
+p=<-1882,387,1825>, v=<-22,72,-112>, a=<8,-7,3>
+p=<-1198,903,2509>, v=<37,-62,-128>, a=<1,2,2>
+p=<-1978,3315,-371>, v=<32,0,17>, a=<4,-11,0>
+p=<-898,735,2485>, v=<-38,20,-27>, a=<6,-4,-6>
+p=<-3982,729,-2798>, v=<181,-32,11>, a=<0,0,10>
+p=<2288,-2890,2922>, v=<-12,98,-88>, a=<-8,3,-4>
+p=<187,4909,-752>, v=<3,-15,56>, a=<-1,-18,-2>
+p=<434,1634,1824>, v=<10,-25,0>, a=<-4,-8,-12>
+p=<3222,-627,2062>, v=<-163,36,-140>, a=<-3,0,2>
+p=<-2422,4269,447>, v=<115,-153,-36>, a=<3,-11,1>
+p=<-76,-661,3490>, v=<-5,2,-125>, a=<1,4,-9>
+p=<400,1141,2589>, v=<30,-50,-81>, a=<-6,-2,-8>
+p=<3664,954,73>, v=<-189,-66,22>, a=<-3,1,-3>
+p=<-3170,767,-556>, v=<123,-10,-22>, a=<7,-4,6>
+p=<2100,1787,-1032>, v=<-43,47,33>, a=<-9,-17,3>
+p=<-518,-882,260>, v=<-6,-3,-16>, a=<4,6,0>
+p=<1353,10,-1668>, v=<-44,35,-39>, a=<-4,-4,15>
+p=<1625,1676,3228>, v=<-60,-99,-120>, a=<-4,0,-8>
+p=<-517,-143,-155>, v=<-33,-100,25>, a=<7,12,-2>
+p=<-143,-2064,-1413>, v=<8,22,99>, a=<0,11,-2>
+p=<588,1489,-1702>, v=<-44,-115,44>, a=<1,3,6>
+p=<-2285,-1044,1783>, v=<80,79,-44>, a=<6,-2,-7>
+p=<2186,911,-1413>, v=<-120,-54,63>, a=<-1,0,2>
+p=<4912,648,3154>, v=<-131,-76,-72>, a=<-8,4,-6>
+p=<-60,-2905,-2335>, v=<-181,143,74>, a=<16,-1,3>
+p=<-7035,-371,2956>, v=<19,136,-161>, a=<14,-8,4>
+p=<-2715,-5306,-10724>, v=<61,68,171>, a=<2,7,12>
+p=<1560,-6986,3916>, v=<120,0,-131>, a=<-11,15,0>
+p=<-2160,-8531,5791>, v=<58,36,-85>, a=<1,16,-7>
+p=<-7620,-56,-434>, v=<178,48,-17>, a=<5,-3,2>
+p=<-570,3379,8641>, v=<-88,-20,37>, a=<7,-6,-21>
+p=<2790,3634,-2984>, v=<-45,-75,-56>, a=<-3,-3,10>
+p=<-5970,1804,-4514>, v=<61,-45,57>, a=<9,-1,6>
+p=<-1703,432,-2101>, v=<85,-18,54>, a=<2,-1,8>
+p=<-207,-146,653>, v=<-12,34,0>, a=<3,-3,-4>
+p=<915,-1336,-962>, v=<-105,113,23>, a=<6,-4,4>
+p=<269,2591,1707>, v=<-94,-172,-44>, a=<9,2,-6>
+p=<3404,2494,-1457>, v=<-127,-112,147>, a=<-5,-2,-7>
+p=<-1194,1658,1070>, v=<25,-68,-36>, a=<4,-2,-2>
+p=<-585,-2017,-1151>, v=<52,155,75>, a=<-2,-3,0>
+p=<-393,-121,833>, v=<23,-74,-66>, a=<0,10,2>
+p=<-441,-1817,-1855>, v=<60,66,34>, a=<-4,6,10>
+p=<2839,-1801,-1935>, v=<-111,99,73>, a=<-8,2,6>
+p=<839,-601,-39>, v=<99,-10,82>, a=<-18,6,-9>
+p=<1447,-1393,-1471>, v=<-24,48,10>, a=<-8,5,10>
+p=<-113,2511,1177>, v=<-54,-94,-28>, a=<7,-7,-5>
+p=<-4551,4001,3942>, v=<-6,-18,-121>, a=<17,-13,-4>
+p=<1130,436,377>, v=<-49,29,-14>, a=<0,-4,0>
+p=<-20,-4417,4034>, v=<1,132,-161>, a=<0,5,-1>
+p=<-1326,1046,4112>, v=<89,-7,-129>, a=<-2,-4,-6>
+p=<-1599,752,-109>, v=<3,-59,6>, a=<7,2,0>
+p=<-108,542,731>, v=<-68,83,-56>, a=<7,-10,2>
+p=<2265,2768,773>, v=<-16,-89,-124>, a=<-8,-4,8>
+p=<2013,332,-424>, v=<-125,-61,-12>, a=<3,4,3>
+p=<-3,-1936,-3259>, v=<-62,102,79>, a=<6,-1,7>
+p=<3189,584,-1348>, v=<-93,-84,-1>, a=<-5,5,6>
+p=<191,-182,200>, v=<-43,64,-14>, a=<4,-9,-1>
+p=<271,88,300>, v=<-51,59,-68>, a=<4,-13,7>
+p=<1866,-502,940>, v=<-106,-3,-55>, a=<-15,9,-7>
+p=<71,-952,-1375>, v=<-75,163,94>, a=<12,-13,8>
+p=<51,-772,-1525>, v=<37,2,87>, a=<-8,13,12>
+p=<1206,118,935>, v=<-84,-21,-49>, a=<-7,1,-8>
+p=<78,-815,1965>, v=<-53,66,-119>, a=<7,1,-10>
+p=<-978,-661,1965>, v=<31,28,-77>, a=<9,5,-17>
+p=<89,1209,-719>, v=<-60,-106,83>, a=<8,-1,-3>
+p=<-110,-2795,1116>, v=<-14,91,-90>, a=<2,8,3>
+p=<-178,367,-1876>, v=<71,4,-94>, a=<-7,-3,23>
+p=<-2473,-1027,232>, v=<89,50,7>, a=<6,1,-2>
+p=<-1419,1285,2816>, v=<45,-86,-118>, a=<4,1,-5>
+p=<1097,1319,-2267>, v=<-40,-79,91>, a=<-3,0,5>
+p=<2304,-772,-873>, v=<-66,-37,0>, a=<-8,9,6>
+p=<298,95,946>, v=<43,-88,-26>, a=<-7,9,-3>
+p=<1454,-619,-23>, v=<-61,62,-23>, a=<-3,-3,3>
+p=<1709,95,623>, v=<-67,47,11>, a=<-4,-6,-5>
+p=<-4674,-13573,9933>, v=<89,139,-212>, a=<2,12,-3>
+p=<-7153,-5396,-9196>, v=<42,-82,77>, a=<8,12,9>
+p=<4613,2300,-8234>, v=<-48,109,51>, a=<-4,-9,9>
+p=<-459,452,-613>, v=<53,-42,-16>, a=<-2,1,11>
+p=<2193,1370,617>, v=<-90,-47,-47>, a=<-14,-10,0>
+p=<621,-658,1619>, v=<-63,57,-59>, a=<2,0,-11>
+p=<-1065,-16,-1333>, v=<136,-3,18>, a=<-7,1,15>
+p=<195,-316,515>, v=<18,-43,7>, a=<-5,11,-7>
+p=<27,-1360,-535>, v=<58,135,-3>, a=<-9,-3,8>
+p=<1239,-952,191>, v=<-69,88,21>, a=<-5,-1,-5>
+p=<-1305,-1060,-433>, v=<0,32,34>, a=<17,9,1>
+p=<-387,1154,-457>, v=<34,-55,114>, a=<0,-6,-11>
+p=<-1768,2484,-70>, v=<-13,-81,-23>, a=<6,-1,2>
+p=<4875,1132,2530>, v=<15,-2,-15>, a=<-15,-3,-6>
+p=<-1729,560,-1773>, v=<-28,-7,-106>, a=<7,-1,13>
+p=<1079,3329,-902>, v=<-55,-100,36>, a=<1,-2,0>
+p=<325,2731,2621>, v=<-26,-104,-32>, a=<1,0,-5>
+p=<5057,-1962,5611>, v=<-100,-72,-66>, a=<-7,11,-11>
+p=<3744,3121,216>, v=<45,-11,47>, a=<-14,-8,-4>
+p=<-1001,-623,2556>, v=<-2,-2,-70>, a=<3,2,-2>
+p=<3744,4936,-2542>, v=<-16,-27,145>, a=<-4,-5,-4>
+p=<4992,-9221,-20053>, v=<132,176,94>, a=<-13,3,21>
+p=<507,646,-10381>, v=<27,-37,146>, a=<-2,1,6>
+p=<6669,-602,-10576>, v=<-11,-45,51>, a=<-8,3,11>
+p=<-6513,-3059,-280>, v=<-13,18,-13>, a=<9,3,1>
+p=<2457,-5009,3698>, v=<-43,-12,25>, a=<-1,7,-6>
+p=<-7254,-7739,-3010>, v=<46,-22,-3>, a=<7,11,4>
+p=<-7878,4117,10016>, v=<-38,34,-97>, a=<12,-7,-8>
+p=<-13143,1621,-5272>, v=<37,-42,-5>, a=<15,0,7>
+p=<-3042,802,-2425>, v=<58,79,-138>, a=<1,-5,10>
+p=<-2116,49,1665>, v=<72,-2,-80>, a=<1,0,1>
+p=<-141,3974,-3985>, v=<6,-42,-75>, a=<0,-9,18>
+p=<-1716,874,-1010>, v=<-61,-22,-77>, a=<10,-1,9>
+p=<-666,-4226,-885>, v=<1,-52,-17>, a=<2,17,4>
+p=<-6591,-6326,-2860>, v=<69,84,127>, a=<15,13,-1>
+p=<-1319,7138,-1287>, v=<39,-127,35>, a=<1,-11,1>
+p=<358,807,-3328>, v=<69,-113,100>, a=<-6,6,2>
+p=<-1166,-6323,-9591>, v=<31,167,97>, a=<0,0,8>
+p=<-1394,-6057,-3549>, v=<-41,-35,-101>, a=<4,10,10>
+p=<-10457,7243,-1573>, v=<139,44,-36>, a=<7,-12,4>
+p=<6605,-6893,-13885>, v=<-37,26,132>, a=<-7,8,12>
+p=<-919,-3264,802>, v=<-34,-50,-1>, a=<3,7,-1>
+p=<2900,-832,-3131>, v=<41,-36,83>, a=<-6,3,0>
+p=<-1077,1030,-381>, v=<50,-17,-36>, a=<5,-9,9>
+p=<106,1173,-1720>, v=<-20,-91,95>, a=<2,0,5>
+p=<-635,913,2297>, v=<72,-1,-179>, a=<-3,-10,0>
+p=<-505,-322,-966>, v=<41,24,44>, a=<0,0,4>
+p=<-570,-140,-485>, v=<-10,10,-49>, a=<8,0,12>
+p=<-528,485,991>, v=<-78,31,0>, a=<14,-8,-8>
+p=<-738,2075,796>, v=<64,-99,-139>, a=<-2,-5,11>
+p=<365,-431,-337>, v=<60,-13,74>, a=<-7,3,-5>
+p=<2654,2593,4871>, v=<-60,-69,-152>, a=<-6,-5,-7>
+p=<1667,-2594,1784>, v=<-46,68,-27>, a=<-3,5,-5>
+p=<2444,-1334,2183>, v=<-6,52,9>, a=<-10,1,-10>
+p=<-727,472,-2626>, v=<68,54,7>, a=<-3,-7,11>
+p=<1961,934,4451>, v=<72,21,-198>, a=<-15,-6,-1>
+p=<-979,2698,2288>, v=<14,-52,-106>, a=<3,-7,0>
+p=<-790,1123,3716>, v=<-17,-10,-185>, a=<5,-4,1>
+p=<596,-1208,-841>, v=<-28,101,-45>, a=<0,-4,8>
+p=<1562,-774,2464>, v=<3,69,-10>, a=<-6,-3,-8>
+p=<-853,951,3729>, v=<48,-54,31>, a=<-1,1,-16>
+p=<-1947,554,-408>, v=<-7,-27,-18>, a=<11,0,4>
+p=<3525,136,-826>, v=<-75,-5,44>, a=<-11,0,0>
+p=<-1377,-1745,1644>, v=<-47,4,-86>, a=<12,9,0>
+p=<2917,22,2024>, v=<-93,-29,24>, a=<-6,3,-13>
+p=<1644,2340,-142>, v=<-56,-41,8>, a=<-3,-8,0>
+p=<-1605,-3056,-142>, v=<115,113,-2>, a=<-3,5,1>
+p=<-2840,-92,-1453>, v=<70,87,17>, a=<8,-8,6>
+p=<504,-624,-1282>, v=<-126,-5,8>, a=<10,4,6>
+p=<-579,-1479,-1795>, v=<41,70,145>, a=<-1,1,-5>
+p=<2138,2416,485>, v=<-32,-15,5>, a=<-8,-11,-3>
+p=<3731,2057,2624>, v=<-7,-86,-58>, a=<-12,0,-4>
+p=<-1489,1817,4004>, v=<23,-1,47>, a=<3,-6,-17>
+p=<4019,2093,2828>, v=<-119,0,21>, a=<-4,-7,-11>
+p=<-1561,-55,-3676>, v=<-24,2,67>, a=<7,0,7>
+p=<-757,1589,-1432>, v=<-20,-54,86>, a=<4,-1,-2>
+p=<6431,-1999,3704>, v=<-132,8,-53>, a=<-11,6,-8>
+p=<3731,-1315,-1156>, v=<-57,117,12>, a=<-8,-5,3>
+p=<-1069,-31,2528>, v=<43,1,-154>, a=<0,0,4>
+p=<-2977,3173,1292>, v=<-15,-145,-65>, a=<11,1,1>
+p=<2771,-7231,716>, v=<83,76,-16>, a=<-16,18,-1>
+p=<4381,-4796,-1251>, v=<-154,89,48>, a=<-1,7,0>
+p=<4316,1444,-2161>, v=<-111,173,83>, a=<-4,-17,0>
+p=<2392,3550,-1017>, v=<-64,-43,39>, a=<-2,-7,0>
+p=<-1911,-2716,348>, v=<-47,63,0>, a=<9,3,-1>
+p=<-1066,-3366,3468>, v=<-120,34,15>, a=<12,7,-11>
+p=<3809,-4432,-5632>, v=<3,48,122>, a=<-11,9,7>
+p=<-507,-2573,-744>, v=<61,-91,15>, a=<-3,14,1>
+p=<-1612,-3821,803>, v=<9,65,-58>, a=<4,6,2>
+p=<4637,1401,3227>, v=<-128,46,-119>, a=<-3,-7,0>
+p=<-4381,3993,-2308>, v=<10,-92,30>, a=<11,-4,4>
+p=<-5191,1185,1175>, v=<26,-2,-141>, a=<12,-3,7>
+p=<6446,-5565,-3658>, v=<-55,122,-4>, a=<-13,6,10>
+p=<-439,2535,2687>, v=<-38,18,13>, a=<4,-8,-8>
+p=<-2896,4479,473>, v=<109,-54,11>, a=<0,-8,-2>
+p=<-3544,-5187,1418>, v=<35,94,74>, a=<7,7,-9>
+p=<-1897,2346,-5467>, v=<-26,-31,63>, a=<7,-4,10>
+p=<-844,4398,4874>, v=<19,-51,-96>, a=<1,-8,-6>
+p=<-1017,3016,-2273>, v=<10,-66,73>, a=<4,-8,4>
+p=<733,4646,667>, v=<-4,-95,10>, a=<-3,-13,-4>
+p=<-2187,-394,-3423>, v=<100,52,57>, a=<1,-3,11>
+p=<3453,-1024,-3293>, v=<-161,-11,82>, a=<-1,6,8>
+p=<1284,174,-326>, v=<-83,-43,27>, a=<2,3,-1>
+p=<-5767,3023,1027>, v=<157,-92,-46>, a=<9,-4,0>
+p=<3682,-2664,1203>, v=<-54,40,-31>, a=<-10,7,-2>
+p=<-2885,878,3645>, v=<-43,-121,-96>, a=<15,7,-6>
+p=<3242,-288,-1393>, v=<-103,47,-28>, a=<-4,-3,8>
+p=<159,-1064,79>, v=<13,120,-100>, a=<-5,-4,16>
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