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Reproducing an error when trying to calculate Blomberg's K for a large 11499 tip tree
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ropteris:8.1347480000000000899,Platyzoma:8.1347480000000000899):0.026391999999999998794):11.534845000000000681):6.5446020000000002526,((Onychium:13.579786000000000357,Actiniopteris:13.579786000000000357):12.00619000000000014,((Pityrogramma:19.049195000000000988,(Cosentinia:10.977510999999999797,Anogramma:10.977510999999999797):8.0716839999999994149):4.053895999999999944,((Eriosorus:4.4985340000000002547,Jamesonia:4.4985340000000002547):12.794349999999999667,(Pterozonium:13.40947399999999945,(Taenitis:6.2640760000000001995,(Syngramma:3.0032529999999999504,Austrogramme:3.0032529999999999504):3.260822999999999805):7.1453980000000001382):3.8834110000000001683):5.8102070000000001215):2.4828850000000000087):0.65461000000000002519):16.186294000000000182,((Adiantum:35.625168000000002166,(Rheopteris:26.520814000000001442,((Antrophyum:22.355937000000000836,(Ananthacorus:16.782302000000001385,(Anetium:11.443291999999999575,Polytaenium:11.443291999999999575):5.3390100000000000335):5.5736350000000003391):1.1357409999999998895,((Hecistopteris:15.944096999999999298,Radiovittaria:15.944096999999999298):3.6539380000000001303,(Monogramma:14.114570000000000505,(Vittaria:7.3822720000000003893,Haplopteris:7.3822720000000003893):6.7322980000000001155):5.4834649999999998116):3.8936440000000001049):3.029135000000000133):9.104354000000000724):2.9368989999999999263,(Bommeria:22.919858000000001397,((Cheilanthes:14.826492000000000004,(Argyrochosma:10.671516999999999697,(Astrolepis:8.5402290000000000703,(Paraceterach:7.8910669999999996094,Pellaea:7.8910670000000004976):0.6491620000000000168):2.1312880000000000713):4.154975000000000307):3.8508480000000000487,((Notholaena:9.6502710000000000434,Cheiloplecton:9.6502710000000000434):6.1133420000000002759,(Pentagramma:13.111706999999999113,((Aspidotis:10.794254999999999711,(Mildella:10.057835000000000747,Doryopteris:10.057835000000000747):0.73641999999999996351):1.638670000000000071,((Hemionitis:11.438364999999999227,(Trachypteris:9.4278969999999997498,Adiantopsis:9.4278969999999997498):2.0104679999999999218):0.79837000000000002409,(Cheilosoria:9.6413430000000008846,(Leptolepidium:3.2387830000000001895,Aleuritopteris:3.2387830000000001895):6.402560000000000251):2.5953919999999999213):0.19619000000000000328):0.67878199999999999648):2.6519059999999998745):2.9137279999999998736):4.2425170000000003157):15.642208000000000112):3.8648139999999999716):3.3002180000000000959):1.1634409999999999474):15.905084999999999695,((Woodsia:28.508151000000001574,((Gymnocarpium:11.907282000000000366,(Cystopteris:8.3160520000000008878,Acystopteris:8.3160520000000008878):3.5912299999999999223):11.770210000000000505,((Rhachidosorus:22.265547999999999007,((Homalosorus:5.9820700000000002206,Diplaziopsis:5.9820700000000002206):15.801906999999999925,(Hemidictyum:20.940100999999998521,(Hymenasplenium:13.771342000000000638,(Diellia:10.07458300000000051,Asplenium:10.07458300000000051):3.6967590000000001282):7.1687589999999996593):0.84387599999999995948):0.48157100000000002682):0.86215699999999995118,(((Macrothelypteris:9.6950190000000002755,(Phegopteris:5.6487480000000003244,Pseudophegopteris:5.6487480000000003244):4.0462720000000000908):5.1648889999999996192,(Amauropelta:13.053411999999999793,((Thelypteris:9.9908549999999998192,Coryphopteris:9.9908549999999998192):2.3866019999999998902,(Parathelypteris:12.006999999999999673,((Oreopteris:7.0362910000000002952,Metathelypteris:7.0362910000000002952):4.5573649999999998883,((Stegnogramma:4.5674890000000001322,Dictyocline:4.5674890000000001322):5.3610730000000001993,(Mesophlebion:8.9798880000000007584,((Sphaerostephanos:7.7175570000000002224,(Trigonospora:7.2329540000000003275,(Nannothelypteris:6.9094879999999996301,(Christella:0.70394199999999995665,Goniopteris:0.70394199999999995665):6.2055449999999998667):0.32346599999999997577):0.48460300000000000598):0.30169600000000001971,((Pneumatopteris:6.559600999999999793,(Pronephrium:6.0324439999999999173,Plesioneuron:6.0324439999999999173):0.52715699999999998671):0.29652000000000000579,(Glaphyropteridopsis:4.9898329999999999629,(Meniscium:3.676064999999999916,Chingia:3.676064999999999916):1.3137680000000000469):1.866287999999999947):1.1631320000000000547):0.96063500000000001666):0.94867400000000001725):1.665094000000000074):0.4133439999999999892):0.37045699999999998075):0.67595499999999997254):1.8064960000000001017):5.5371779999999999333,(((Lunathyrium:4.1481099999999999639,(Dryoathyrium:3.7187440000000000495,(Deparia:1.814807000000000059,Athyriopsis:1.814807000000000059):1.9039360000000000728):0.42936600000000002542):10.187397000000000702,((Diplazium:6.4237469999999996517,Allantodia:6.4237469999999996517):5.4016489999999999227,(Kuniwatsukia:7.0057130000000000791,(Cornopteris:4.6007800000000003138,(Athyrium:2.1193100000000000271,Pseudocystopteris:2.1193100000000000271):2.4814699999999998425):2.4049330000000002094):4.8196830000000003835):2.5101110000000002032):4.12315300000000029,(((Stenochlaena:8.5922730000000004935,Salpichlaena:8.5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onanthus:1.9571369999999999045,Calycanthus:1.9571369999999999045):4.8514229999999995968):29.045107999999999038,(((Atherosperma:14.293601999999999919,(Nemuaron:6.4471080000000000609,Laurelia:6.4471080000000000609):7.8464939999999998577):4.5027480000000004168,(Dryadodaphne:13.607627000000000805,(Daphnandra:6.0615300000000003067,(Doryphora:4.1736760000000003856,Laureliopsis:4.1736760000000003856):1.887853999999999921):7.5460969999999996105):5.1887230000000004182):13.593790000000000262,(Gomortega:29.414898000000000877,((Glossocalyx:11.310074999999999434,Siparuna:11.310074999999999434):17.054923999999999751,((Levieria:3.7484020000000000117,((Kibaropsis:1.7810369999999999813,Hedycarya:1.7810369999999999813):1.8792729999999999713,((Xymalos:3.5123720000000000496,(Decarydendron:2.4372259999999998925,(Ephippiandra:1.9459750000000000103,Tambourissa:1.9459750000000000103):0.49125099999999999323):1.0751459999999999351):0.059721000000000003249,((Hennecartia:1.4364269999999998983,((Mollinedia:0.2526639999999999997,Grazielanthus:0.2526639999999999997):0.58570900000000003516,(Macropeplus:0.002552000000000000015,Macrotorus:0.002552000000000000015):0.83582199999999995388):0.59805299999999994576):0.99813200000000001921,(((Matthaea:0.4875300000000000189,Steganthera:0.4875300000000000189):0.98619299999999998629,(Austromatthaea:0.27511299999999999644,Hemmantia:0.27511299999999999644):1.1986099999999999532):0.77675399999999994449,(Wilkiea:1.6549480000000000857,(Kibara:0.54547800000000001841,(Kairoa:0.24344799999999999773,Faika:0.24344799999999999773):0.30202899999999999192):1.109471000000000096):0.59552799999999994629):0.18408299999999999663):1.1375329999999999053):0.088217000000000003745):0.088092000000000003634):22.621794999999998765,(((Sparattanthelium:12.502309000000000339,Gyrocarpus:12.502309000000000339):4.5292060000000002873,(Hernandia:10.407697999999999894,(Illigera:8.0060430000000000206,Hazomalania:8.0060430000000000206):2.4016549999999998732):6.6238169999999998439):7.6228319999999998302,((Hortonia:10.390886999999999318,(Peumus:5.0248939999999997497,(Palmeria:3.2156030000000002111,Monimia:3.2156030000000002111):1.8092909999999999826):5.3659929999999995687):11.853992999999999114,(Hypodaphnis:18.232977999999999241,((Cryptocarya:13.326036000000000215,Aspidostemon:13.326036000000000215):3.566537999999999986,(Caryodaphnopsis:15.796927999999999415,(Neocinnamomum:15.29022400000000026,(((Umbellularia:8.8317910000000008353,(Licaria:6.6622289999999999566,(Aniba:5.3023689999999996658,(Nectandra:5.0503150000000003317,(Endlicheria:4.1032080000000004105,Rhodostemonodaphne:4.1032080000000004105):0.94710799999999994991):0.25205400000000000027):1.3598600000000000687):2.1695619999999999905):1.5494349999999998957,((Iteadaphne:5.0339919999999995781,Dicypellium:5.0339919999999995781):4.4102709999999998303,((Dodecadenia:6.2868449999999995725,(Litsea:5.1345629999999999882,(Adenodaphne:4.0950759999999997163,Cinnamomum:4.0950759999999997163):1.0394870000000000498):1.1522829999999999462):0.54795799999999994512,(Lindera:5.5488949999999999108,((Laurus:2.9099910000000002164,(Sinosassafras:1.8672789999999999111,Parasassafras:1.8672789999999999111):1.0427120000000000832):1.8776559999999999917,((Cassytha:4.7412809999999998567,(Neolitsea:4.5610429999999997364,Actinodaphne:4.5610429999999997364):0.18023800000000000932):0.021108999999999999292,(((Mocinnodaphne:1.739028999999999936,Sassafras:1.739028999999999936):1.9486980000000000413,(Aiouea:2.703573000000000004,(Pleurothyrium:1.6824289999999999523,(Kubitzkia:0.64069799999999998974,(Povedadaphne:0.63729000000000002313,(Ocotea:0.62095400000000000595,(Urbanodendron:0.54027599999999997848,Paraia:0.54027599999999997848):0.080677999999999999714):0.016335999999999999827):0.0034090000000000001378):1.0417300000000000448):1.0211440000000000516):0.98415399999999997327):0.6481139999999999679,(Machilus:3.9347539999999998628,(Apollonias:3.7558009999999999451,((Dehaasia:2.9393259999999998833,(Phoebe:0.86572599999999999554,Nothaphoebe:0.86572599999999999554):2.0735999999999998877):0.72879799999999994586,(Alseodaphne:3.4602829999999999977,(Persea:3.2508370000000001987,(Chlorocardium:2.86827500000000013,((Potoxylon:0.39170599999999999863,Eusideroxylon:0.39170599999999999863):1.6074059999999998904,(Beilschmiedia:1.6667810000000000681,(Endiandra:1.3998649999999999149,Potameia:1.3998649999999999149):0.2669159999999999866):0.33233000000000001428):0.86916300000000001891):0.38256200000000001316):0.20944699999999999429):0.20784099999999999797):0.087677000000000004931):0.17895300000000000096):0.40108700000000002683):0.42654799999999998272):0.025257000000000001672):0.76124899999999995348):1.2859089999999999687):2.6094599999999998907):0.93696299999999999031):2.321607999999999894,(Williamodendron:7.1723489999999996414,(Sextonia:7.162334999999999674,Mezilaurus:7.162334999999999674):0.010014000000000000332):5.530485999999999791):2.587388999999999939):0.50670499999999996099):1.09564499999999998):1.3404050000000000686):4.0119020000000000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ayba:6.6002489999999998105):4.0349979999999998626,(Blomia:8.8961089999999991562,((Haplocoelum:6.921778999999999904,Talisia:6.921778999999999904):1.4430629999999999846,((Dictyoneura:0.1781030000000000113,Tristiropsis:0.1781030000000000113):7.2424330000000001206,((Thouinidium:3.6485729999999998441,(Dimocarpus:1.6613649999999999807,(Litchi:1.6531359999999999388,Xerospermum:1.6531359999999999388):0.0082290000000000002034):1.9872090000000000032):1.6291809999999999903,(Lecaniodiscus:4.9672330000000002315,(Glenniea:4.2045060000000002987,(Haplocoelopsis:3.5331220000000000958,(Cubilia:0.85078600000000004222,Blighia:0.85078600000000004222):2.6823359999999998315):0.6713839999999999808):0.76272700000000004383):0.31052200000000002023):2.142780000000000129):0.94430700000000000749):0.531266000000000016):1.7391380000000000727):1.3505329999999999835,((Guindilia:10.463869000000000753,((Athyana:2.8683879999999999377,Diatenopteryx:2.8683879999999999377):7.0447090000000001098,((Bridgesia:6.2640279999999997074,(Allophylus:2.624972000000000083,Thouinia:2.624972000000000083):3.6390560000000000684):2.2273480000000001056,(Urvillea:5.3730479999999998242,(Cardiospermum:4.7147589999999999222,(Serjania:2.9220899999999998542,Paullinia:2.9220899999999998542):1.792669000000000068):0.65828900000000001302):3.1183279999999999887):1.4217210000000000125):0.55077200000000003932):0.53189100000000000268,((Gloeocarpus:5.7751029999999996534,(((Lepiderema:2.676733000000000029,Rhysotoechia:2.676733000000000029):0.38990999999999997883,(Mischarytera:2.5130530000000002033,(Storthocalyx:2.5046990000000000087,Gongrodiscus:2.5046990000000000087):0.0083549999999999995798):0.5535900000000000265):0.18857899999999999663,(((Scyphonychium:2.4066950000000000287,(Vouarana:1.9752410000000000245,Cupania:1.9752410000000000245):0.43145400000000000418):0.32562000000000002053,(Molinaea:1.7021139999999999048,(Tina:1.3465300000000000047,Neotina:1.3465300000000000047):0.35558499999999998442):1.0302000000000000046):0.43515100000000001002,(((Sarcopteryx:1.6958590000000000053,Jagera:1.6958590000000000053):0.91231899999999999107,(Toechima:2.3459859999999999047,Mischocarpus:2.3459859999999999047):0.26219199999999998063):0.24204500000000001014,(Arytera:1.732391999999999932,(Synima:1.1235379999999999256,(Castanospora:1.1199930000000000163,(Sarcotoechia:0.89290999999999998149,Cupaniopsis:0.89290999999999998149):0.22708400000000000807):0.003544999999999999974):0.60885400000000000631):1.1178310000000000191):0.31724400000000002597):0.087756000000000000671):2.5198809999999998155):1.6467460000000000431,(((Diploglottis:3.9055889999999999773,(Podonephelium:2.7430740000000000123,Alectryon:2.7430740000000000123):1.162514999999999965):1.5619579999999999576,((Elattostachys:4.5416319999999998913,(Melicoccus:3.2018119999999998804,Dilodendron:3.2018119999999998804):1.3398200000000000109):0.48936699999999999644,((Macphersonia:2.3729350000000000165,Beguea:2.3729350000000000165):0.33348100000000002741,((Pappea:1.3469789999999999264,Plagioscyphus:1.3469789999999999264):0.77467600000000003124,(Chouxia:1.3919770000000000199,Pseudopteris:1.3919770000000000199):0.72967800000000004879):0.58476099999999997525):2.3245840000000002057):0.4365479999999999916):1.0083079999999999821,(((Nephelium:2.151391999999999971,Pometia:2.151391999999999971):2.2616209999999998814,((Eriocoelum:2.6026929999999999232,Lepidopetalum:2.6026929999999999232):0.32763100000000000556,(Laccodiscus:2.260466999999999782,(Chytranthus:1.5327820000000000888,Pancovia:1.5327820000000000888):0.72768600000000005501):0.66985600000000000698):1.4826889999999999237):0.51613699999999995693,(Tristira:4.7168210000000003745,(Pseudima:3.5913849999999998275,(Deinbollia:3.5051660000000000039,(Sapindus:3.4363990000000002034,(Erioglossum:3.1903480000000001837,(Atalaya:3.0870510000000002115,(Hebecoccus:2.8252640000000002196,Lepisanthes:2.8252640000000002196):0.26178800000000002068):0.10329699999999999993):0.24605099999999999194):0.068766999999999994797):0.086219000000000003969):1.1254349999999999632):0.21232799999999998897):1.5467059999999999143):0.94599400000000000155):3.5739109999999998379):0.99001899999999998236):0.60453199999999995828):0.45908599999999999408):0.0025760000000000001646):1.8353120000000000545):1.006928999999999963):1.645410999999999957):7.2719959999999996825,(((Dobinea:8.1905560000000008358,Sorindeia:8.1905560000000008358):3.9262700000000001488,((Smodingium:5.9734210000000000917,((Ozoroa:2.4898289999999998479,Protorhus:2.4898289999999998479):0.86463999999999996415,(Abrahamia:2.4214289999999998315,(Micronychia:1.8198719999999999342,Heeria:1.8198719999999999342):0.60155599999999997962):0.93304100000000000925):2.6189520000000001687):2.908384999999999998,((Pachycormus:6.6712819999999997123,((Toxicodendron:4.4513489999999995561,(Malosma:0.82430999999999998717,(Orthopterygium:0.21235100000000001197,Amphipterygium:0.21235100000000001197):0.61195900000000003072):3.627038999999999902):1.2830859999999999488,(Pseudosmodingium:5.2909790000000000987,((S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(((Metarungia:3.0208569999999999034,Rungia:3.0208569999999999034):0.3933450000000000002,(Anisotes:2.9928140000000000853,((Poikilacanthus:2.0627450000000000507,(Harpochilus:1.2420899999999999164,Megaskepasma:1.2420899999999999164):0.82065500000000002334):0.54803400000000002112,(Monechma:0.97842799999999996441,(Rhinacanthus:0.97633599999999998165,(Hypoestes:0.80704799999999998761,(Dicliptera:0.70267699999999999605,Peristrophe:0.70267699999999999605):0.10437100000000000544):0.16928799999999999404):0.0020929999999999998085):1.6323510000000001074):0.38203500000000001346):0.4213879999999999848):0.31606299999999998285,(Chlamydocardia:3.4310749999999998749,(Clinacanthus:2.6891129999999998645,((Angkalanthus:2.2931599999999998651,Populina:2.2931599999999998651):0.19770199999999998886,(Chorisochora:2.4037809999999999455,((Trichaulax:1.5829629999999998979,Megalochlamys:1.5829629999999998979):0.64832900000000004415,(Hoverdenia:2.1618870000000001141,(((Fittonia:1.6591540000000000177,Pachystachys:1.6591540000000000177):0.3044299999999999784,(Aphanosperma:1.4960640000000000605,(Henrya:1.3137250000000000316,Chalarothyrsus:1.3137250000000000316):0.18233800000000000008):0.46751999999999999114):0.14391999999999999238,(Gypsacanthus:2.0048539999999999139,(Mexacanthus:1.9407250000000000334,(Anisacanthus:1.9197910000000000252,(Tetramerium:1.743651000000000062,Carlowrightia:1.743651000000000062):0.17613999999999999102):0.020934000000000001218):0.064129000000000005444):0.10264900000000000413):0.054383000000000000784):0.069404999999999994476):0.17248800000000000243):0.087082000000000006623):0.19825100000000001055):0.74196099999999998165):0.29919000000000001149):0.12782499999999999418):0.35393700000000000161):0.54807499999999997886):1.0068230000000000235):1.1183140000000000303):1.4721770000000000689):0.10678899999999999504):1.6947749999999999204):0.15705600000000000116):0.50240399999999996172):1.5871820000000000928):0.17727499999999998814):0.13275300000000000988):0.45146399999999997643):0.45049600000000000755):0.44051200000000001467):0.077865000000000003655):0.34770800000000001706):1.1807129999999999015):0.46737000000000000766):0.13329399999999999582):0.72750700000000001477):1.036296000000000106):2.1675779999999997827):0.57962899999999994982):1.4417409999999999393):5.4493450000000001054):0.38005299999999997418):0.25780799999999998162):0.33739200000000002522):2.1375690000000000524):0.15591299999999999604):6.459982000000000113):3.0954500000000000348):0.45250800000000002132):1.5513099999999999667):4.8141470000000001761):24.02786000000000044):2.0401080000000000325):1.3691359999999999086):30.599098999999998938):2.2966479999999998007):9.4916090000000004068):3.4219569999999999155):12.965759999999999508):4.9057870000000001198):1.5112159999999998927):4.8181120000000001724):17.573533000000001181):151.45838100000000281):87.337723999999994362):15.48034299999999952):20.573005000000001985,Adelanthus:437.17957599999999729):34.222718000000000416,(Amblytropis:22.587229000000000667,(Schroeterella:8.5326290000000000191,Myrinia:8.5326290000000000191):14.054600000000000648):448.81506400000000667):398.6800089999999841);
$ Rscript --version
R scripting front-end version 3.2.5 (2016-04-14)
$ time Rscript test.R
Loading required package: vegan
Loading required package: permute
Loading required package: lattice
This is vegan 2.3-2
Loading required package: nlme
[1] "Coleochaete" "Chaetosphaeridium" "Nitella"
[4] "Tolypella" "Lamprothamnium" "Chara"
[7] "Lychnothamnus" "Nitellopsis" "Isoetes"
[10] "Selaginella"
[1] 11449
Error in solve.default(mat) :
system is computationally singular: reciprocal condition number = 7.31072e-21
Calls: Kcalc -> solve -> solve.default
Execution halted
real 155m43.944s
user 150m49.332s
sys 3m6.060s
library(ape)
library(picante)
t1<-read.tree("bryprunedultra.tre")
head(t1$tip.label,10)
t4 <- drop.tip(t1,c("Coleochaete","Chaetosphaeridium","Nitella","Tolypella","Lamprothamnium","Chara","Lychnothamnus","Nitellopsis"))
length(t4$tip.label)
tips <- c(0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,
0,1,1,1,1,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,
0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,1,0,0,0,1,0,0,0,1,1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,
0,0,0,0,0,0,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0,1,1,0,1,1,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,
0,1,0,1,1,0,0,0,0,1,1,0,1,1,1,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,1,0,
0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,0,1,1,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,1,1,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,
0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,
0,1,0,0,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,
0,0,0,0,1,1,1,0,1,0,0,1,1,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,
0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0,1,1,0,0,0,1,1,1,1,0,0,
0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,
0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,
0,0,0,1,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,
1,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,1,0,1,0,
0,1,0,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,
0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,0,0,
0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,
0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,
1,1,0,0,0,0,1,1,0,1,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,
0,1,1,0,1,0,0,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,
1,1,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,
0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,0,0,0,1,0,
1,0,1,1,0,1,0,0,1,1,0,1,1,0,1,1,0,1,0,1,0,1,1,0,0,1,1,0,0,1,0,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,1,
0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,
0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,
0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,
0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,1,
1,0,0,1,0,0,0,0,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,1,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,1,
0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,
0,0,0,0,0,0,1,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,
0,0,1,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,0,1,1,0,
0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,1,0,1,1,1,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,
1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,1,0,1,1,0,
1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,
0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,1,
0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,1,0,
0,0,0,0,0,0,1,1,0,0,0,1,1,1,1,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,1,1,1,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,
1,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,0,
1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,
0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,1,0,1,0,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,1,0,0,0,
1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,0,1,0,0,
0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,
0,0,0,1,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,1,
1,1,0,0,1,0,1,0,1,0,1,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,1,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,0,
0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,
0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,
0,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,1,0,1,0,0,
0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,1,1,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,
0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,1,1,1,0,0,1,1,1,1,1,0,0,0,1,0,0,1,0,1,0,1,0,1,0,0,1,1,0,0,1,0,0,0,
0,0,0,0,0,1,1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,0,1,
0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,1,0,
0,0,0,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,1,0,0,1,0,1,
1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,1,1,0,0,0,0,0,0,
0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,
0,1,1,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,
0,1,1,0,1,1,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,1,
0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,
1,1,1,0,1,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,1,1,1,1,1,
0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,
0,0,0,1,0,1,1,1,0,1,0,1,0,0,1,0,1,0,1,1,1,0,1,0,0,1,1,0,0,1,0,0,1,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,1,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,
1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,1,0,0,0,1,
1,0,1,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,
1,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,1,1,0,0,1,0,1,0,1,0,0,1,1,0,0,0,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,
1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,1,1,0,0,1,1,0,0,0,
1,0,0,0,1,0,0,0,1,1,1,0,0,0,0,1,0,0,0,0,1,0,0,1,1,1,1,1,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,
0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,1,0,1,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,
0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,1,
1,1,0,0,1,1,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,1,1,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,
1,0,1,0,0,0,0,1,0,1,1,1,1,0,1,0,0,0,0,0,0,0,1,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,0,
0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,1,0,0,1,1,0,0,0,1,0,1,
0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,
0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,1,0,1,0,1,0,0,0,0,1,1,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,
0,0,1,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,
0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,1,1,1,0,0,
0,0,0,0,0,0,1,1,0,0,0,0,0,1,1,1,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,0,0,0,1,1,0,1,1,0,0,0,
1,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,1,0,0,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,1,1,
0,0,1,1,0,1,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,1,0,0,1,0,0,0,1,
0,1,1,0,0,0,0,0,1,1,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,1,
0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,
0,0,1,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,1,1,1,0,0,0,0,1,0,0,1,
1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,
1,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,1,0,
1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,0,1,1,0,0,0,0,0,
0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,1,0,
1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,1,1,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,
0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,1,
0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,0,0,0,0,1,0,0,
0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,0,0,0,0,1,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,
1,0,1,0,1,0,0,1,0,0,1,1,1,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,
0,0,0,0,0,0,0,1,0,1,1,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,
0,0,0,1,1,1,0,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,
0,0,1,1,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,1,1,1,0,0,1,0,1,1,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,
0,0,0,1,0,1,1,1,0,0,0,0,1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,0,1,0,0,1,0,
1,1,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,1,0,0,0,0,0,1,0,0,0,0,
1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,1,1,1,0,0,1,0,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,
0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,
1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,
0,0,0,1,0,0,1,0,0,1,1,0,0,0,1,0,1,1,0,0,0,1,0,1,0,1,1,1,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,1,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,
0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,1,0,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,
1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,
0,0,1,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,
0,1,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,
0,0,1,0,1,0,0,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,0,0,1,1,0,1,1,1,0,1,0,0,0,1,0,
1,0,1,0,1,0,1,0,1,1,1,0,0,1,1,1,1,0,0,0,0,0,1,0,1,1,0,1,0,1,0,0,0,0,1,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,
0,0,1,1,1,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,1,1,0,1,0,0,0,1,0,0,0,0,0,
0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,0,0,0,0,0,1,
0,1,1,1,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,
0,0,1,0,0,0,1,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,0,1,0,0,1,0,
0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,1,1,1,0,0,
1,0,0,1,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,
1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,
0,1,0,0,1,0,1,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,
1,1,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,1,0,0,0,1,0,
1,1,0,0,0,0,0,0,1,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,1,1,0,
1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,
1,0,1,1,1,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,
0,0,1,1,1,1,1,0,0,0,1,0,1,1,1,1,0,1,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,1,1,1,0,0,0,
0,0,0,0,1,0,1,0,0,0,0,0,0,1,1,1,0,1,1,0,1,0,0,0,0,0,0,0,1,1,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,0,0,1,0,
0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,1,0,0,0,0,
0,0,1,1,1,0,0,0,0,0,1,0,1,1,1,0,0,0,1,1,1,0,1,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,
0,0,1,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,
0,0,0,0,1,1,0,0,1,1,1,1,0,1,1,0,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,
0,0,1,0,0,0,1,0,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,1,0,1,0,1,0,0,0,1,0,1,1,1,0,0,
0,1,1,0,0,0,0,0,1,0,0,1,1,1,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,
0,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,0,0,1,0,0,1,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,
0,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,
1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,1,0,1,0,0,0,0,0,1,
0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,1,1,1,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,0,
0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,1,1,0,0,1,1,1,1,0,1,1,0,1,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,1,0,1,1,1,0,1,0,0,1,0,1,1,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,1,1,1,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,
0,0,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,
1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,1,1,0,
0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,1,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,
1,0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,
0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,1,0,
0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,1,
0,0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,1,0,0,0,0,1,0,0,0,1,0,1,0,0,0,1,0,1,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,1,0,1,0,0,1,0,0,1,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
1,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,0,0,1,0,0,0,0,
1,0,0,0,0,1,0,0,1,0,1,0,1,1,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,1,
0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,1,1,1,0,0,1,0,1,0,0,1,1,0,0,0,0,0,1,1,1,1,0,1,0,0,0,1,0,0,0,0,0,1,0,1,
0,1,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,1,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,1,0,1,0,0,0,1,0,0,1,1,0,0,1,1,0,0,1,1,0,0,0,0,0,0,0,
1,0,0,0,0,0,0,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,1,0,0,1,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,0,0,1,1,0,0,0,0,0,
0,0,1,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,
0,1,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,1,0,1,1,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,1,
1,0,1,0,1,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,0,1,0,0,1,0,0,
1,0,0,0,1,0,0,0,1,0,0,1,1,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,
0,0,0,1,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,1,0,0,1,0,0,1,1,0,1,1,1,0,0,0,0,0,1,0,0,0,0,
0,0,0,1,1,0,0,0,0,0,1,0,0,1,0,0,0,1,1,1,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,0,0,0,1,1,0,0,1,0,0,0,0,0,
1,0,0,1,0,1,0,0,0,1,0,1,0,0,0,1,0,0,1,1,1,0,0,1,0,0,0,0,1,1,0,0,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,1,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,
0,0,0,0,0,0,1,1,0,0,0,0,0,1,0,0,0,0,0,0,1,0,1,1,1,0,0,1,1,1,0,0,1,0,0,1,0,0,1,1,1,0,1,0,0,0,0,1,1,1,
0,1,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,0,0,0,0,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,1,0,1,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,0,0,0,1,1,0,0,0,1,0,1,0,0,0,0,0,0,0,0,
1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,1,0,0,0,1,0,0,1,0,1,0,0,1,0,0,0,0,0,0,1,0,0,0,0,0,0,0,1,0,0,
0,0,0,0,0,1,0,1,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,1,1,0,1,0,0,0,1,0,1,1,0,0,0,1,0,0,
0,0,0,0,0,1,1,1,0,0,1,0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,1,1,1,1,0,0,1,1,0,0,
0,1,0,1,0,0,1,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,
1,0,1,0,0,0,0,0,1,0,0,0,0,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,0,0,1,0,0,0,0,1,0,1,0,0,0,0,0,0,
0,0,0,1,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,0,1,0,0,1,1,1,0,0,0,0,1,0,0,1,0,0,0,1,1,0,0,0,0,0,
0,1,0,0,0,1,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,0,0,1,0,
0,0,0,0,1,1,1,0,0,0,1,0,1,1,0,0,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,1,0,0,0,0,0,1,1,0,0,1,0,
0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,0,1,0,1,0,1,1,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,
0,1,0,1,0,0,1,0,0,0,0,0,1,0,0,0,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,0,1,0,0,1,0,0,1,0,
0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,1,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,