44:["$","title",null,{"children":"Advent of Code: Day 23 | Matt Cowan | Observable"}] 4c:Ta30,md` Using your torch to search the darkness of the rocky cavern, you finally locate the man's friend: a small reindeer. You're not sure how it got so far in this cave. It looks sick - too sick to walk - and too heavy for you to carry all the way back. Sleighs won't be invented for another 1500 years, of course. The only option is experimental emergency teleportation. You hit the "experimental emergency teleportation" button on the device and push I accept the risk on no fewer than 18 different warning messages. Immediately, the device deploys hundreds of tiny nanobots which fly around the cavern, apparently assembling themselves into a very specific formation. The device lists the X,Y,Z position (pos) for each nanobot as well as its signal radius (r) on its tiny screen (your puzzle input). Each nanobot can transmit signals to any integer coordinate which is a distance away from it less than or equal to its signal radius (as measured by [Manhattan distance](https://en.wikipedia.org/wiki/Taxicab_geometry)). Coordinates a distance away of less than or equal to a nanobot's signal radius are said to be in range of that nanobot. Before you start the teleportation process, you should determine which nanobot is the strongest (that is, which has the largest signal radius) and then, for that nanobot, the total number of nanobots that are in range of it, including itself. For example, given the following nanobots: \`\`\` pos=<0,0,0>, r=4 pos=<1,0,0>, r=1 pos=<4,0,0>, r=3 pos=<0,2,0>, r=1 pos=<0,5,0>, r=3 pos=<0,0,3>, r=1 pos=<1,1,1>, r=1 pos=<1,1,2>, r=1 pos=<1,3,1>, r=1 \`\`\` The strongest nanobot is the first one (position 0,0,0) because its signal radius, 4 is the largest. Using that nanobot's location and signal radius, the following nanobots are in or out of range: - The nanobot at 0,0,0 is distance 0 away, and so it is in range. - The nanobot at 1,0,0 is distance 1 away, and so it is in range. - The nanobot at 4,0,0 is distance 4 away, and so it is in range. - The nanobot at 0,2,0 is distance 2 away, and so it is in range. - The nanobot at 0,5,0 is distance 5 away, and so it is not in range. - The nanobot at 0,0,3 is distance 3 away, and so it is in range. - The nanobot at 1,1,1 is distance 3 away, and so it is in range. - The nanobot at 1,1,2 is distance 4 away, and so it is in range. - The nanobot at 1,3,1 is distance 5 away, and so it is not in range. In this example, in total, 7 nanobots are in range of the nanobot with the largest signal radius. Find the nanobot with the largest signal radius. How many nanobots are in range of its signals? `4d:Tb036,input = `pos=<-27458727,37082345,47925315>, r=95853959 pos=<64849283,81764276,20735258>, r=87673726 pos=<12748539,31761349,15735441>, r=94351651 pos=<-8107026,25866653,12367055>, r=55634883 pos=<-40894329,29679863,22262384>, r=79256236 pos=<-21338285,25888680,26351309>, r=60005542 pos=<21563227,59799604,49813303>, r=71437085 pos=<7304590,46189382,12556121>, r=57273165 pos=<23394265,79798133,27084771>, r=66876056 pos=<89459737,31831923,38910401>, r=74440567 pos=<104882873,41667699,35533684>, r=96322759 pos=<76216527,7824073,19490878>, r=65514440 pos=<65291157,50128162,44568806>, r=74226601 pos=<14114080,58898100,12246703>, r=63481590 pos=<38849352,70538642,42283008>, r=65909472 pos=<-9398388,42336748,47345814>, r=82468375 pos=<22831077,56004139,56121042>, r=72682140 pos=<105640135,29032450,26564979>, r=75476279 pos=<-3415982,11669209,18700150>, r=58808536 pos=<-2446056,36702472,43456946>, r=65992795 pos=<8521720,76019380,38504778>, r=89390306 pos=<26370508,84724876,38946104>, r=80688132 pos=<16138114,39226127,58160859>, r=64636207 pos=<90495568,17832653,5932443>, r=83343425 pos=<23096047,87617785,41813153>, r=89722217 pos=<62628804,43310062,61644279>, r=81822224 pos=<31939699,102273102,33148947>, r=86869798 pos=<-36842257,54634766,-82992136>, r=57455800 pos=<-28291490,44259103,22620018>, r=80874944 pos=<-5460798,61131611,31648050>, r=81628011 pos=<8192829,50446391,50582372>, r=76223259 pos=<6375568,60626823,48207462>, r=85846058 pos=<17703953,62379889,58768440>, r=86831836 pos=<-11280890,28713831,17291598>, r=53647599 pos=<-31363907,32501236,27997829>, r=75250336 pos=<73676460,33821245,52735523>, r=74471686 pos=<16724231,70635933,32224350>, r=69523666 pos=<-409664,15326484,38429274>, r=61717244 pos=<6277054,43153208,30629579>, r=50893079 pos=<14423729,73380360,28586502>, r=70930586 pos=<-16759398,40540736,34247972>, r=74935448 pos=<-31954714,29294528,27385663>, r=72022357 pos=<1165301,46898684,30467617>, r=59588333 pos=<82464972,43235820,47047740>, r=86986999 pos=<-21091441,-4427060,31681145>, r=95404276 pos=<21374610,43074403,73585347>, r=78672490 pos=<-43424612,26388606,37170383>, r=92411116 pos=<-3348530,36823516,53282131>, r=76841618 pos=<-32107329,39055088,12594046>, r=89512661 pos=<25309654,53934836,56608940>, r=68621828 pos=<67923531,38553944,50507434>, r=71223374 pos=<-16497668,38491209,44767995>, r=83144208 pos=<-25565193,33080792,31253209>, r=73286782 pos=<17588650,21239965,-19426867>, r=66359811 pos=<31802149,60772286,39994825>, r=52352351 pos=<81003239,33136478,33568488>, r=61946719 pos=<-27389478,56066626,30905482>, r=97749054 pos=<13466714,43948966,59383673>, r=73253257 pos=<-5794954,-262590,-1629759>, r=93449035 pos=<33056300,62102462,-10152951>, r=70143459 pos=<-36125961,42895290,30306740>, r=92715371 pos=<-36548491,37587670,38465358>, r=95988860 pos=<51325404,37047737,57220926>, r=59832650 pos=<30878303,72292095,66934374>, r=91735732 pos=<-12442690,49853541,17445150>, r=75795352 pos=<-33082122,42491146,19843578>, r=86674017 pos=<-5579284,55750769,42754679>, r=87472077 pos=<-20556004,34206341,46056820>, r=84206520 pos=<27371790,65964859,65838476>, r=87818927 pos=<27579324,55337043,38809263>, r=49954345 pos=<4392707,148641210,-45084036>, r=76362160 pos=<-17874105,60481224,35437922>, r=97180626 pos=<1890849,34320208,10605786>, r=52767907 pos=<28043908,83677292,29523016>, r=68543982 pos=<36128959,23052631,35251080>, r=79682863 pos=<25522121,40006685,24977044>, r=89540631 pos=<61052137,52905325,48957983>, r=77154052 pos=<3827289,45217153,38584540>, r=63361732 pos=<39987593,44470184,24984577>, r=85112483 pos=<-13420277,4293414,35757876>, r=83089388 pos=<32678045,98116525,11533121>, r=84849773 pos=<55848885,50286878,40487488>, r=60862058 pos=<30257648,74595795,53324011>, r=81049518 pos=<-3903914,33013649,4922568>, r=62939291 pos=<50291970,1015229,33483887>, r=51816404 pos=<-3760919,22561812,38700160>, r=58104313 pos=<100402229,50324967,27575504>, r=92541160 pos=<-2205345,45587043,20475347>, r=58261606 pos=<-27554335,25204893,34394613>, r=74949009 pos=<10913940,75909486,39224284>, r=87607202 pos=<93336270,39035914,10028035>, r=84139606 pos=<-14263563,11734801,7364288>, r=80926036 pos=<823752,7785369,29333481>, r=58929200 pos=<-1388443,24786483,-28942730>, r=91306594 pos=<115001583,34157858,19847227>, r=91108086 pos=<-11513355,36629196,57268297>, r=88798172 pos=<-10941415,46806944,32733984>, r=73869893 pos=<1094471,62565431,22584899>, r=69830332 pos=<-950710,60248818,49541599>, r=94128459 pos=<39052238,44160429,33284731>, r=94521964 pos=<522925,32788805,43805777>, r=59458982 pos=<19419884,36678443,75882932>, r=76528953 pos=<1556264,34002578,47486367>, r=63320191 pos=<12845861,29069110,32809248>, r=97844978 pos=<-33898316,8576610,28727942>, r=92254464 pos=<27218509,19302718,68251100>, r=59934470 pos=<38319680,29209009,-31740111>, r=61064590 pos=<4396562,16020156,-18578808>, r=83923800 pos=<-22536574,44861414,27882809>, r=78668148 pos=<-503729,-6920314,46582977>, r=92211679 pos=<-15644086,34099132,27120796>, r=60251344 pos=<-6890022,62960231,41974432>, r=95212077 pos=<39933082,-30965246,45095269>, r=85049668 pos=<32801821,54328739,64297597>, r=69211842 pos=<14744170,28928157,54060502>, r=51631878 pos=<-12789987,50277805,34448297>, r=80903412 pos=<15188390,43567345,83729568>, r=95496103 pos=<17288268,34827068,50011788>, r=50937927 pos=<2547819,45074407,28831135>, r=54745083 pos=<18750683,18597266,52538301>, r=53394954 pos=<-33152490,45562351,31914344>, r=94016514 pos=<-50060339,32431398,28283343>, r=94162452 pos=<171752527,37742188,89150929>, r=87454918 pos=<22788323,20999223,67262094>, r=61679146 pos=<-17890394,45217175,51871953>, r=98366889 pos=<-43216439,35804086,36480805>, r=98888726 pos=<86959384,1823703,32232950>, r=86424388 pos=<-26449629,28548618,20370068>, r=65572481 pos=<18102195,30533943,34800769>, r=74853277 pos=<76117323,34927650,22780491>, r=50059925 pos=<23181299,79163467,46842412>, r=86212712 pos=<14525443,84558771,33819154>, r=87239844 pos=<-8900786,35559216,-6324789>, r=81729263 pos=<71666363,37937544,40068740>, r=63911138 pos=<20456377,-13973228,39617826>, r=71339396 pos=<-29895695,10281187,29870420>, r=87689766 pos=<29397952,43066492,70147846>, r=67203946 pos=<13017828,34842794,56208133>, r=61420444 pos=<97614354,34360141,25985925>, r=72199027 pos=<-22378899,29631683,47092968>, r=82490901 pos=<23257702,-13330996,40292964>, r=68570877 pos=<-10664830,34566052,56766806>, r=85385022 pos=<-13210353,37534874,33782854>, r=67915423 pos=<9659309,67661185,28701475>, r=70090697 pos=<25710228,100756094,22269066>, r=83721209 pos=<69455176,57468741,34481418>, r=75643866 pos=<-5776839,51828244,39652029>, r=80644453 pos=<10766127,38692356,46868876>, r=58182465 pos=<-8707405,32517912,33703970>, r=58316655 pos=<27698965,62867726,11450983>, r=54662356 pos=<85869754,36643202,21252876>, r=63055594 pos=<-4081602,52039161,36052672>, r=75560764 pos=<22876255,81328970,50428129>, r=92268196 pos=<-27543138,31738815,40541836>, r=83211120 pos=<18969108,31121786,25360933>, r=64249695 pos=<21396589,53321081,43245056>, r=58557254 pos=<28423259,47006222,63577639>, r=65548557 pos=<27924525,-388536,-19849628>, r=78075207 pos=<2890405,49922902,-4498164>, r=82474928 pos=<-3971873,35076100,64350554>, r=86785885 pos=<55103428,67488281,61150433>, r=97980733 pos=<21015135,38496758,26261848>, r=53270404 pos=<12595331,24426951,-14036268>, r=62775577 pos=<4213459,29113775,50701005>, r=58988947 pos=<-29346499,34949562,29288462>, r=76972090 pos=<-21908934,32312860,25404950>, r=63014071 pos=<26979807,33005631,28815938>, r=64559025 pos=<-4986687,48503659,19131979>, r=65302877 pos=<4057762,70125543,31854913>, r=81310033 pos=<16950299,14297202,60526573>, r=67483740 pos=<-14076983,34527087,30993621>, r=62985077 pos=<5247734,64939383,9235535>, r=81400421 pos=<-14937255,38898025,31052545>, r=68275157 pos=<51001271,31544149,29527743>, r=89812801 pos=<-7952692,29553089,-7186847>, r=75636911 pos=<202097,43889528,5727696>, r=68904157 pos=<6503083,32143645,60095322>, r=69123235 pos=<-32492925,12680910,32116003>, r=90132699 pos=<-18247302,39447724,37157208>, r=78239723 pos=<18890095,-4348878,32242331>, r=55905818 pos=<13039582,34788525,50655297>, r=55791598 pos=<-17799007,37769645,55606762>, r=94562812 pos=<91060074,35175528,36097622>, r=76571918 pos=<-30270171,36021386,10085789>, r=87150050 pos=<-5411233,20635407,30201758>, r=53182257 pos=<-15783040,41193885,42249043>, r=82613296 pos=<24908402,40003665,26672343>, r=51386567 pos=<91156645,40209675,27001768>, r=72606583 pos=<-267094,4420706,38208650>, r=72259643 pos=<26283111,33363085,92649004>, r=83116318 pos=<8524447,45304753,30765874>, r=50933506 pos=<23920826,19760709,29460032>, r=93584744 pos=<-3929583,32977973,13753287>, r=54098540 pos=<-9896747,23835800,66776108>, r=91041704 pos=<2575815,17526265,-1659251>, r=67318771 pos=<-29899143,40104104,30735161>, r=84125972 pos=<-35060597,29228360,31513419>, r=79189796 pos=<32957813,37271351,-47078200>, r=82336081 pos=<72853924,52700552,37048069>, r=76841264 pos=<-21557279,32394932,21843140>, r=63053351 pos=<-43605963,38962882,32816249>, r=98772815 pos=<10313294,71147356,37503400>, r=81725093 pos=<16467291,51696918,15613587>, r=50560625 pos=<10377008,81800561,43394087>, r=98205002 pos=<-10807373,34470400,45632738>, r=74297889 pos=<3508794,37503777,36995403>, r=54377713 pos=<3960196,71534155,38751862>, r=89713163 pos=<23039396,94806314,26088018>, r=81242371 pos=<15297429,70372518,30324233>, r=68787297 pos=<-30938126,25937041,25746176>, r=68952124 pos=<-15534110,24125052,35636222>, r=65250040 pos=<5938455,28514265,47471477>, r=53434662 pos=<7275529,19836079,67107383>, r=78200376 pos=<35749761,39224118,62545695>, r=51758107 pos=<-18307081,28879536,24801894>, r=55375843 pos=<19811363,38905028,32162537>, r=69670931 pos=<31089460,69949212,47366840>, r=69614037 pos=<24581173,17597546,27758569>, r=73389342 pos=<23954203,33348226,62152526>, r=54933894 pos=<25828177,32694768,25613826>, r=68987600 pos=<-5865784,47890111,32522617>, r=69666404 pos=<25406101,33210741,27297792>, r=64899300 pos=<-49438790,29285494,25303856>, r=87415871 pos=<26402737,50092949,47439366>, r=54516899 pos=<4014442,-29436023,21382431>, r=89800700 pos=<14791401,67633623,35144452>, r=71374093 pos=<71544711,38555610,41279758>, r=65618863 pos=<85654553,57399035,29436893>, r=86728992 pos=<-10014617,25247773,74754292>, r=97725735 pos=<26187027,-2135848,52834436>, r=66987994 pos=<99427198,42506018,12688050>, r=91040789 pos=<33378093,25740808,7222726>, r=56608111 pos=<58754358,76242501,39976338>, r=89212060 pos=<26048256,75170772,29755051>, r=62264895 pos=<-28139804,35936884,42314635>, r=89778649 pos=<-9911569,9196306,36923075>, r=75842946 pos=<-15824429,-13271110,26179455>, r=93479603 pos=<29515718,28399924,74212910>, r=56484445 pos=<26617630,31241368,65970015>, r=53981111 pos=<37585093,36183253,71897694>, r=59904624 pos=<28941749,18456585,100606864>, r=91413275 pos=<684648,18468666,46057154>, r=65108448 pos=<-2559402,65430219,39784150>, r=91161541 pos=<90853885,32897468,38573508>, r=76563549 pos=<-17312072,38723837,32328136>, r=71751436 pos=<-41781975,38713600,31103461>, r=94986383 pos=<21960982,77739999,25008589>, r=64174995 pos=<5771933,65367681,25819176>, r=68802578 pos=<-109199105,37645025,89459213>, r=81369360 pos=<11979870,72564463,27443674>, r=71415707 pos=<11639028,32091601,49346621>, r=53186520 pos=<-21105677,28818833,7881169>, r=72987642 pos=<-22033680,31857299,33203494>, r=70481798 pos=<23424236,-25196817,37402652>, r=77379843 pos=<9997555,43314977,47245178>, r=63949951 pos=<79167174,28658348,5384503>, r=64236748 pos=<178247669,77819917,33232330>, r=57549301 pos=<-10541167,5608776,29826632>, r=72963766 pos=<10288665,85746365,16250579>, r=90151661 pos=<-42022902,30586212,21141177>, r=82412364 pos=<46260006,46512557,-18673107>, r=73241099 pos=<-1029782,31374989,61865974>, r=77658123 pos=<23593802,74323316,26596713>, r=60713788 pos=<39683508,42593908,33911484>, r=65632521 pos=<25091795,40179618,68822438>, r=67297995 pos=<2297233,57434974,10412134>, r=75669910 pos=<-27424454,44261029,7518197>, r=95111707 pos=<885111,53981568,37301307>, r=73785199 pos=<25913987,12786190,55173108>, r=54677661 pos=<4912081,31856983,25611645>, r=95223141 pos=<-14915689,17384226,28376553>, r=64112627 pos=<99038035,32526700,4840361>, r=88519835 pos=<-47256481,29603027,22212679>, r=85591749 pos=<71961749,30463901,202702698>, r=74659542 pos=<17972493,41855296,54506311>, r=61776602 pos=<7912468,32384419,-27158713>, r=82574998 pos=<98660448,35486797,34825359>, r=83211144 pos=<-21704371,28705984,26153250>, r=59950959 pos=<-44016175,31732756,28737932>, r=87874213 pos=<83514641,33114312,37463104>, r=68330707 pos=<-4696399,36883009,41033127>, r=65999934 pos=<3592502,55559976,56351289>, r=91706637 pos=<14966521,31346136,53462769>, r=53229875 pos=<22270210,23985936,85200269>, r=77148747 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pos=<17848968,20908413,80446546>, r=79893789 pos=<31502101,18142635,30269559>, r=67997137 pos=<32836864,64699933,43799752>, r=59050183 pos=<-2366164,47485082,34228562>, r=67467453 pos=<-595773,46979883,38597771>, r=69560811 pos=<-44351064,29077637,27423571>, r=84239609 pos=<-10137224,31626888,30404944>, r=55556391 pos=<-52731787,34838632,26010126>, r=96967995 pos=<-9387243,49011717,31364042>, r=73150340 pos=<9343638,51897820,18273378>, r=55225103 pos=<32883427,76715166,-17533882>, r=92309965 pos=<-24390931,39513789,46973761>, r=94265827`4e:T413,md` Now, you just need to figure out where to position yourself so that you're actually teleported when the nanobots activate. To increase the probability of success, you need to find the coordinate which puts you in range of the largest number of nanobots. If there are multiple, choose one closest to your position (0,0,0, measured by manhattan distance). For example, given the following nanobot formation: \`\`\` pos=<10,12,12>, r=2 pos=<12,14,12>, r=2 pos=<16,12,12>, r=4 pos=<14,14,14>, r=6 pos=<50,50,50>, r=200 pos=<10,10,10>, r=5 \`\`\` Many coordinates are in range of some of the nanobots in this formation. However, only the coordinate 12,12,12 is in range of the most nanobots: it is in range of the first five, but is not in range of the nanobot at 10,10,10. (All other coordinates are in range of fewer than five nanobots.) This coordinate's distance from 0,0,0 is 36. Find the coordinates that are in range of the largest number of nanobots. What is the shortest manhattan distance between any of those points and 0,0,0? `4f:Tf63,function findBestPartition(cubeMin, cubeMax, assumption) { // recursively split the cube defined by its min and max corner points into // 8 sub-cubes and for each of those determine the theoretical max intersecting nanobots // here we use the assumption as the assumed actual max. This provides a necessary optimization. // we don't have to pursue cubes that don't even theoretically intersect the assumed or better // number of nanobots // start by finding midpoint const midpoint = { x: Math.floor((cubeMax.x + cubeMin.x) / 2), y: Math.floor((cubeMax.y + cubeMin.y) / 2), z: Math.floor((cubeMax.z + cubeMin.z) / 2), } // define the stopping condition so we don't recurse forever if (_.isEqual(cubeMin, midpoint)) { // technically we should loop over all remaining points at this point // instead of just looking at the corners if (manhattanDist(cubeMin, origin) < manhattanDist(cubeMax, origin)) { return [countInRangeOfPoint(cubeMin), cubeMin]; } return [countInRangeOfPoint(cubeMax), cubeMax]; } // count bots in each of 8 quadrants const negnegneg = countIntersecting(cubeMin, midpoint); const negnegpos = countIntersecting( _.assign({}, cubeMin, { z: midpoint.z }), _.assign({}, midpoint, { z: cubeMax.z }) ); const negpospos = countIntersecting( _.assign({}, cubeMin, { y: midpoint.y, z: midpoint.z }), _.assign({}, midpoint, { y: cubeMax.y, z: cubeMax.z }) ); const negposneg = countIntersecting( _.assign({}, cubeMin, { y: midpoint.y }), _.assign({}, midpoint, { y: cubeMax.y }) ); const pospospos = countIntersecting(midpoint, cubeMax); const posnegneg = countIntersecting( _.assign({}, midpoint, { y: cubeMin.y, z: cubeMin.z }), _.assign({}, cubeMax, { y: midpoint.y, z: midpoint.z }) ); const posposneg = countIntersecting( _.assign({}, midpoint, { z: cubeMin.z }), _.assign({}, cubeMax, { z: midpoint.z }) ); const posnegpos = countIntersecting( _.assign({}, midpoint, { y: cubeMin.y }), _.assign({}, cubeMax, { y: midpoint.y }) ); const opts = []; if (assumption <= negnegneg) { opts.push(findBestPartition(cubeMin, midpoint, assumption)); } if (assumption <= negnegpos) { opts.push(findBestPartition( _.assign({}, cubeMin, { z: midpoint.z }), _.assign({}, midpoint, { z: cubeMax.z }), assumption )); } if (assumption <= negposneg) { opts.push(findBestPartition( _.assign({}, cubeMin, { y: midpoint.y }), _.assign({}, midpoint, { y: cubeMax.y }), assumption )); } if (assumption <= posnegneg) { opts.push(findBestPartition( _.assign({}, midpoint, { y: cubeMin.y, z: cubeMin.z }), _.assign({}, cubeMax, { y: midpoint.y, z: midpoint.z }), assumption )); } if (assumption <= negpospos) { opts.push(findBestPartition( _.assign({}, cubeMin, { y: midpoint.y, z: midpoint.z }), _.assign({}, midpoint, { y: cubeMax.y, z: cubeMax.z }), assumption )); } if (assumption <= posnegpos) { opts.push(findBestPartition( _.assign({}, midpoint, { y: cubeMin.y }), _.assign({}, cubeMax, { y: midpoint.y }), assumption )); } if (assumption <= posposneg) { opts.push(findBestPartition( _.assign({}, midpoint, { z: cubeMin.z }), _.assign({}, cubeMax, { z: midpoint.z }), assumption )); } if (assumption <= pospospos) { opts.push(findBestPartition(midpoint, cubeMax, assumption)); } if (opts.length > 0) { // make sure to give best not only by number of nanobots in range of point // but also by shortest manhattan distance to origin as tiebreaker return _.sortBy(opts.map(o => { const clone = _.cloneDeep(o); clone.push(o[1] ? -1 * manhattanDist(o[1], origin) : 0); return clone; }), ['0', '2']).reverse()[0].slice(0, 2); } else { return [0, null]; } }50:[] 48:{"id":"513c83e4725d7b71","slug":"advent-of-code-day-23","title":"Advent of Code: Day 23","thumbnail":"99cb2ea00479c83339d8e4a1c9301d5aeb92a06ea2eedf21486b1d47cb067716","access_level":"public","create_time":"$D2018-12-28T22:27:34.447Z","update_time":"$D2019-01-02T20:29:36.607Z","view_time":null,"first_public_time":"$D2018-12-28T23:01:05.023Z","has_unpublished_edits":null,"fork":false,"stars":0,"starred":false,"owner":{"type":"team","id":"150d072324233635","login":"mpcowan","name":"Matt 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Code 2018","owner":{"id":"150d072324233635","login":"mpcowan","name":"Matt Cowan"}},"type":"notebook","body":{"titling":"auto","title":"Advent of Code: Day 23","cells":[{"id":0,"value":"md`# Advent of Code: Day 23`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":2,"value":"md`## [Experimental Emergency Teleportation](https://adventofcode.com/2018/day/23)`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":5,"value":"md`---\n## Part 1`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":7,"value":"$4c","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":9,"value":"$4d","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":15,"value":"md`---\n### Solution`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":20,"value":"md`We start by processing the input into a useable array of nanobots`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":17,"value":"nanobots = input.split('\\n').map(n => {\n const [x, y, z, r] = /pos=<(-?\\d+),(-?\\d+),(-?\\d+)>, r=(\\d+)/.exec(n)\n .slice(1, 5)\n .map(n => parseInt(n, 10));\n return { x, y, z, r };\n})","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":22,"value":"md`Now we can iterate through them to find the one with the largest radius and compute how many are in that radius`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":27,"value":"function manhattanDist(a, b) {\n return Math.abs(a.x - b.x) + Math.abs(a.y - b.y) + Math.abs(a.z - b.z);\n}","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":24,"value":"{\n let maxR = 0;\n let target;\n\n nanobots.forEach(n => {\n if (n.r > maxR) {\n maxR = n.r;\n target = n;\n }\n });\n\n return nanobots.reduce((acc, n) => {\n if (manhattanDist(n, target) <= target.r) {\n return acc + 1;\n }\n return acc;\n }, 0);\n}","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":33,"value":"md`---\n## Part 2`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":34,"value":"$4e","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":37,"value":"md`---\n### Solution`","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":39,"value":"origin = ({ x: 0, y: 0, z: 0 })","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":42,"value":"function intersects(nanobot, cubeMin, cubeMax) {\n // its important to note this isn't standard math for a sphere intersecting a cube\n // that's because in the problem statement these aren't actually spheres\n // the 'r' value is used as manhattan distance from center for comms\n let dist = nanobot.r;\n if (nanobot.x < cubeMin.x) {\n dist -= Math.abs(nanobot.x - cubeMin.x);\n } else if (nanobot.x > cubeMax.x) {\n dist -= Math.abs(nanobot.x - cubeMax.x);\n }\n if (nanobot.y < cubeMin.y) {\n dist -= Math.abs(nanobot.y - cubeMin.y);\n } else if (nanobot.y > cubeMax.y) {\n dist -= Math.abs(nanobot.y - cubeMax.y);\n }\n if (nanobot.z < cubeMin.z) {\n dist -= Math.abs(nanobot.z - cubeMin.z);\n } else if (nanobot.z > cubeMax.z) {\n dist -= Math.abs(nanobot.z - cubeMax.z);\n }\n return dist >= 0;\n}","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":45,"value":"function countIntersecting(cubeMin, cubeMax) {\n // count how many nanobots comms radius intersects a cube defined by its\n // minimum point corner and max point corner\n return nanobots.reduce((acc, n) => {\n if (intersects(n, cubeMin, cubeMax)) {\n return acc + 1;\n }\n return acc;\n }, 0);\n}","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":48,"value":"function countInRangeOfPoint(point) {\n // count how many nanobots are in range of a given point\n return nanobots.reduce((acc, n) => {\n if (manhattanDist(n, point) <= n.r) {\n return acc + 1;\n }\n return acc;\n }, 0);\n}","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":54,"value":"$4f","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":61,"value":"{\n // start with the bounding box for the nanobots\n const minPoint = {\n x: Math.min(...nanobots.map(n => n.x)),\n y: Math.min(...nanobots.map(n => n.y)),\n z: Math.min(...nanobots.map(n => n.z)),\n };\n const maxPoint = {\n x: Math.max(...nanobots.map(n => n.x)),\n y: Math.max(...nanobots.map(n => n.y)),\n z: Math.max(...nanobots.map(n => n.z)),\n };\n \n let bestPoint;\n // assume there is a point where all nanobots can reach\n // its ok for this to be wrong. We will work down until we\n // find the actual answer\n let assumedBest = nanobots.length;\n while (!bestPoint) {\n bestPoint = findBestPartition(minPoint, maxPoint, assumedBest)[1];\n assumedBest--;\n }\n return manhattanDist(bestPoint, origin);\n}","pinned":true,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"},{"id":59,"value":"_ = require('lodash')","pinned":false,"hidden":false,"mode":"ojs","author":"$undefined","summary":"$undefined","tool":"$undefined","providerMetadata":"$undefined","attachments":"$undefined","output":"$undefined","database":"$undefined"}],"files":"$W50","stdlib":"1"}} 24:null