#For each case of size in 1000, 10000, we give all the choose_vectors to draw planar graphs.
THESE VECTORS ARE GIVEN AS BERNOULLI VECTORS, i.e. the sum of the components is 1. 
The order is as follows

BINARY TREES
#ch_1_or_u
#ch_1_or_v
#ch_u_or_v
#ch_dxu_or_dxv
#choose_vector_dxu                dxu = D*(1+v)^2+x*D*dxv*(1+v)+x*D*(1+v)*dxv
#choose_vector_dxv                dxv = D*dxu*(1+u)+(1+u)*D*dxu
#ch_dyu_or_dyv
#choose_vector_dyv                dyv = (1+u)^2+D*dyu*(1+u)+D*(1+u)*dyu
#choose_vector_dyu                dyu = x*(1+v)^2+x*D*dyv*(1+v)+x*D*(1+v)*dyv

3-CONNECTED NETWORKS
#ch_K_in_dyK
#ch_dxK_in_dxyK
#ch_b_or_dxb
#ch_3b_or_dyb

NETWORKS
#choose_vector_non_trivial_D       nontrivialD  = S+P+H
#choose_vector_D                   D = y+S+P+H
#choose_vector_P                   P = y*(exp(S+H)-1)+(exp(S+H)-S-H-1)
#ch_y_or_P_or_H
#ch_S_or_H
#poisson_S_plus_H
#poisson_at_least1_S_plus_H
#poisson_at_least2_S_plus_H
#choose_vector_dD                  dD = dS+dP+dH
#choose_vector_dS                  dS = (dP+dH)*x*D+(y+P+H)*D+(y+P+H)*x*dD
#choose_vector_dP                  dP = y*(dS+dH)*exp(S+H)+(dS+dH)*(exp(S+H)-1)
#choose_vector_dH                  dH = dxK+dD*dyK
#ch_dP_or_dH
#ch_dS_or_dH
#choose_vector_ddD                 ddD = ddS+ddP+ddH
#choose_vector_ddS                 ddS =(ddP+ddH)*x*D+2*(dP+dH)*D+2*(dP+dH)*x*dD+2*(y+P+H)*dD+(y+P+H)*x*ddD
#choose_vector_ddP                 ddP = y*(ddS+ddH)*exp(S+H)+y*(dS+dH)^2*exp(S+H)+(ddS+ddH)*(exp(S+H)-1)+(dS+dH)^2*exp(S+H)
#choose_vector_ddH                 ddH = dxxK+2*dD*dxyK+ddD*dyK+dD^2*dyyK
#ch_ddP_or_ddH
#ch_ddS_or_ddH

2-CONNECTED PLANAR GRAPHS
#ch_xy_in_dB:
#ch_y_in_ddB;
#ch_nontrivialD_or_dD;
#ch_dD_or_ddD;

CONNECTED PLANAR GRAPHS
#poisson_dB;
#ch_dC_or_ddC;
#ch_2ddC_or_dddC;
#choose_vector_dddC;               dddC = (2ddC+z0*dddC)*ddB*dC+(dC+z0*ddC)^2*dddB*dC+(dC+z0*ddC)*ddB*ddC

PLANAR GRAPHS
#poisson_C
#choose_vector_ddG;                ddG = ddC*G+dC*dG
#choose_vector_dddG;               dddG = dddC*G+2*ddC*dG+dC*ddG


case1000

0.6617244467515780200511702962325881922543 0.3382755532484219799488297037674118077457

0.2858251517783132686093476090623008808850 0.7141748482216867313906523909376991191150

0.1698436191398492749386028612247707092054 0.8301563808601507250613971387752292907946

0.2321895767742127528955015279566147412370 0.7678104232257872471044984720433852587627

0.03364843240680449808471298087340416820430 0.4831757837965977509576435095632979158976 0.4831757837965977509576435095632979158976

0.5 0.5

0.2285947884014483960930573391284945286174 0.7714052115985516039069426608715054713827

0.02007003083676521369847607696835456912973 0.4899649845816173931507619615158227154349 0.4899649845816173931507619615158227154349

0.01385650199231473983487769712576176111054 0.4930717490038426300825611514371191194446 0.4930717490038426300825611514371191194446

0.1024186339843654088037543604405321751183 0.8975813660156345911962456395594678248818

0.01078061073976556641541284415055264124363 0.9892193892602344335845871558494473587562

0.04397710280058422475312116307218613790193 0.9560228971994157752468788369278138620981

0.05298452306100625068693168769815943182393 0.9470154769389937493130683123018405681764

0.4660980406256318969676434530337222753406 0.5114065265744228824166115365134725575752 0.02249543279994522061574501045280516708369

0.9139901861623577263938392347438175635608 0.04008900570430042493805326967342364599003 0.04398598014602136835640280474518704088873 0.001934827987320480311704690837571749560376

0.9776957743366559526051044383289644084857 0.02230422566334404739489556167103559150761

0.9521613895390013713258541952830207443798 0.04582297776294823153554378218412517524765 0.002015632698050397138602022532854080372978

0.9539587939187408325415350815314737108920 0.04604120608125916745846491846852628910806

0.955062562776198930066750851888702956004 0.043912277080041576050183610057426315530 0.001009508776445571457826139974252597137 0.000015471876165945493877204532206434149 0.000000177843143378005015019711825495792 0.000000001635389699728085192553787669654 0.000000000012532108441070065330592489628 0.000000000000082315238470082488968546789 0.000000000000000473090677575719388639610 0.000000000000000002416885172108727324964 0.000000000000000000011112458543006695974 0.000000000000000000000046448490544434016 0.000000000000000000000000177969055486790 0.000000000000000000000000000629441364593 0.000000000000000000000000000002067194689 0.000000000000000000000000000000006336424 0.000000000000000000000000000000000018209

0.977186946851154235166776926973054884859 0.022464760761009444390826160329381749059 0.000344298142524042953413062093946493490 0.000003957572001542859837256616250090111 0.000000036392589358921042968825314845133 0.000000000278879019705922310132449330003 0.000000000001831774207775344672912583344 0.000000000000010527762747563792339367965 0.000000000000000053783333483659954766544 0.000000000000000000247287322765282064452 0.000000000000000000001033625711967228475 0.000000000000000000000003960373943900138 0.000000000000000000000000014007059669602 0.000000000000000000000000000046001615067 0.000000000000000000000000000000141005469 0.000000000000000000000000000000000405201 0.000000000000000000000000000000000001096

0.984732758672683738115230263467572597526 0.015092155367264501809150430605315465215 0.000173478401848333690019313457973132829 0.000001595252907248951023211690779110884 0.000000012224537324590080175658922262966 0.000000000080295004610902946629526571133 0.000000000000461479779969585023746167823 0.000000000000002357568411941439023723559 0.000000000000000010839729393160759865953 0.000000000000000000045308521626774238410 0.000000000000000000000173601223740651090 0.000000000000000000000000613993207231479 0.000000000000000000000000002016460259258 0.000000000000000000000000000006180911777 0.000000000000000000000000000000017761789 0.000000000000000000000000000000000048039 0.000000000000000000000000000000000000123

0.3891055567196265438398451709330015847491 0.5224687186119005349666245740556485219990 0.08842572466847292119353025501134989325243

0.06556816973018705495140465484758324721616 0.8314032175656594724594007010001074672174 0.1030286127041534725891946441523092855666

0.9569950930811788631969196173719087817791 0.04300490691882113680308038262809121821909

0.7662545200247689769194826778415390780033 0.2337454799752310230805173221584609219971

0.8552520396262805172195396984512919437019 0.1447479603737194827804603015487080562981

0.8148273670963818568676877073503991477168 0.1851726329036181431323122926496008522832

0.08882042811854977377343780748625244296044 0.5248691740858193874366663301279908099305 0.3863103977956308387898958623857567471095

0.4284354825511204143503399326029708107451 0.04460289125868540180343825609172368061996 0.005527250691225108586081942035189786233344 0.07008543974746480743753353105673107361378 0.4513489357515042678226063382133846487864

0.9478297131471680966695135700662347374011 0.004788624309713830670564703675883303227143 0.04259303823340424198935702258199865614496 0.004788624309713830670564703675883303227143

0.5526547183924505484939228217008572388049 0.3425247142920045043466583299835613658666 0.05350390145523439045473554406382302436216 0.05131666586031055670468330425175837096673

0.5760326397595181453061300662911849661043 0.4239673602404818546938699337088150338955

0.1869388877214057136460781659937407664344 0.8130611122785942863539218340062592335656

0.9779745059482966525571810508094799484049 0.02202549405170334744281894919052005159512

0.9508157664451582952074940263488868812759 0.04918423355484170479250597365111311872413

0.4097048313203836995890742553961161982400 0.5902951686796163004109257446038838017587

0.07204630151125108008895823121416621407158 0.9279536984887489199110417687858337859285

0.961721012914400247525359304810299537111 0.037536815277154147191543962412006803936 0.000732547423956829324457742925087428912 0.000009530656314937664209866966153421950 0.000000092997470357783479899311726082371 0.000000000725954579173460265122532533694 0.000000000004722440737683349984455270796 0.000000000000026331572439605993962835964 0.000000000000000128468048081225094969236 0.000000000000000000557135630937298967140 0.000000000000000000002174549269692990204 0.000000000000000000000007715869699068091 0.000000000000000000000000025096430574914 0.000000000000000000000000000075348901041 0.000000000000000000000000000000210066696 0.000000000000000000000000000000000546606 0.000000000000000000000000000000000001333

0.9598542591280796711508998135832082870005 0.04014574087192032884910018641679171299999

0.8349372342998613159880465101450312508206 0.1650627657001386840119534898549687491794

0.2432150018911660512475627559805163100046 0.6510036989750928260886613066851845851751 0.1057812991337411226637759373342991075669

0.963271215622442314286854768196289580870 0.036045869622657953322293219423378780298 0.000674423099009595378139597421242750519 0.000008412364971617460641252055240409462 0.000000078698243565078707556644429530596 0.000000000588981915180756440184145980289 0.000000000003673310448188154477914865330 0.000000000000019636610178129749212463830 0.000000000000000091850908502239420228787 0.000000000000000000381898428662057592203 0.000000000000000000001429074257114109273 0.000000000000000000000004861485956074452 0.000000000000000000000000015159843363516 0.000000000000000000000000000043637341697 0.000000000000000000000000000000116637224 0.000000000000000000000000000000000290973 0.000000000000000000000000000000000000681

0.5228362965650393318737704603985549817259 0.4771637034349606681262295396014450182741

0.7258318572428006381384938434094226379273 0.1401446711235029095570349361886478323511 0.1340234716336964523044712204019295297215

case10000

0.6555410421528204868268866226466062455110 0.3444589578471795131731133773533937544890

0.2819959453606310344033925095368809492903 0.7180040546393689655966074904631190507097

0.1710692050781203161735415238933961026715 0.8289307949218796838264584761066038973285

0.2305097115910830985084671172699999784167 0.7694902884089169014915328827300000215833

0.01070828643549451802688641337274819684870 0.4946458567822527409865567933136259015756 0.4946458567822527409865567933136259015756

0.5 0.5

0.2293834507206473691014551584061148930277 0.7706165492793526308985448415938851069723

0.006340323787193681923428935497088357724833 0.4968298381064031590382855322514558211375 0.4968298381064031590382855322514558211375

0.004395833657000865282203577263455120516343 0.4978020831714995673588982113682724397420 0.4978020831714995673588982113682724397420

0.09887227621809492172304264670026514085622 0.9011277237819050782769573532997348591440

0.003466846030940132430227668562158783312367 0.9965331539690598675697723314378412166876

0.01422380197405583875806444106805263965218 0.9857761980259441612419355589319473603478

0.01737561898560579587889689732716192602948 0.9826243810143942041211031026728380739705

0.4660450662320354787903273100640185592388 0.5114140309844730246582038754918428862745 0.02254090278349149655146881444413855448247

0.9139368590062744342410859200525609975626 0.04010930224455783900667900984635503927792 0.04401389785478623702447472373752202939502 0.001939940894381489727760346363561933764124

0.9776814277807337582047753429048138191272 0.02231857221926624179522465709518618089024

0.9521259671995741157203691395948569482926 0.04585303093123625121422342586135633703651 0.002021001869189633065407434543786714671359

0.9538650223032189450975073317278092068293 0.04613497769678105490249266827219079317079

0.955033448157527005395150236654972778955 0.043940052610483195934011938002015689217 0.001010817069882126866399246396508652435 0.000015502198837776230718503947989541406 0.000000178309836640848356504654728882225 0.000000001640768418756620212140972915912 0.000000000012581662415571841123019955235 0.000000000000082695519278724981925053735 0.000000000000000475591388287043429377879 0.000000000000000002431271521634649316182 0.000000000000000000011186016445507260175 0.000000000000000000000046786952575569703 0.000000000000000000000000179384743157500 0.000000000000000000000000000634869028938 0.000000000000000000000000000002086402507 0.000000000000000000000000000000006399541 0.000000000000000000000000000000000018402 

0.977171938031053950683592249016314227442 0.022479310253168294823435526196926605364 0.000344749557228305965731661104910707800 0.000003965388257153986231437449595313678 0.000000036488642146824304884783505418759 0.000000000279800471684997585220858180765 0.000000000001839045154461126080865093757 0.000000000000010576558993296552846147293 0.000000000000000054068444699782395948711 0.000000000000000000248763046913051238792 0.000000000000000000001040483440657712505 0.000000000000000000000003989292836727205 0.000000000000000000000000014118694961586 0.000000000000000000000000000046398988179 0.000000000000000000000000000000142317806 0.000000000000000000000000000000000409243 0.000000000000000000000000000000000001108

0.984722675264673112335147417913365108120 0.015102007244297958973448679295007442853 0.000173706741402238473522197156490980960 0.000001598411735365941449033761863484276 0.000000012256864908883709166235192894632 0.000000000080560722016737766412560674833 0.000000000000463313925101670068500607192 0.000000000000002368507881805031145612959 0.000000000000000010897247749347002517659 0.000000000000000000045579140361241566711 0.000000000000000000000174753899045569606 0.000000000000000000000000618479789514849 0.000000000000000000000000002032541713010 0.000000000000000000000000000006234335909 0.000000000000000000000000000000017927189 0.000000000000000000000000000000000048518 0.000000000000000000000000000000000000124

0.3863227063309027336506058624601703665923 0.5224832759212364973024248816725136105222 0.09119401774786076904696925586731602288519

0.06637631584521710489998629353555705933352 0.8298003737791239976736787148530810840170 0.1038233103756588974263349916113618566488

0.9569684295031372171205429600262804987821 0.04303157049686278287945703997371950121873

0.7645864681449901009421614081667122266817 0.2354135318550098990578385918332877733179

0.8513974385419680154225908152525064036184 0.1486025614580319845774091847474935963815

0.8090244526538951837665827083281588247315 0.1909755473461048162334172916718411752684

0.08184238593247331757456964793851919381185 0.5232454857804043737746168436168528657170 0.3949121282871223086508135084446279404719

0.4687726682350615367469967761262876075875 0.01530056358901635049072095742828956867093 0.001914382317267780736238243665484811366408 0.02393256001326287716729915881967974676672 0.4900798258453914548587448639602582656077

0.9540491337469277059706423164397971717815 0.001525283210087308768789387909129197769631 0.04290029983289767649177890774194443268016 0.001525283210087308768789387909129197769631

0.5533484221924193919260021788667853543096 0.3404750686847275323043754087552458651074 0.05436223469557194484994328580548195889920 0.05181427442728113091967912657248682168289

0.5698863438733317955290547438303024334857 0.4301136561266682044709452561696975665143

0.1716656759222132629226192230232961957553 0.8283343240777867370773807769767038042445

0.9779613764891599617765672896377688569569 0.02203862351084003822343271036223114304305

0.9506620864108942651158377626844740666669 0.04933791358910573488416223731552593333308

0.4075315156808300986428709834840174151100 0.5924684843191699013571290165159825848913

0.02383502205703488950551945928507080586757 0.9761649779429651104944805407149291941326

0.961702901657516164409015119467772278406 0.037554219465247171299628931112613246969 0.000733240690660927060915931233554193327 0.000009544278789381654038673547885053352 0.000000093175329843599244071587100564536 0.000000000727693922865886794202493720132 0.000000000004736039449004432282213648218 0.000000000000026420138182182295888065950 0.000000000000000128962341941281067854627 0.000000000000000000559549117816365554045 0.000000000000000000002185023081020565427 0.000000000000000000000007756774342664842 0.000000000000000000000000025241649084554 0.000000000000000000000000000075821467536 0.000000000000000000000000000000211486166 0.000000000000000000000000000000000550565 0.000000000000000000000000000000000001344

0.9598289352871135523909375929792626072812 0.04017106471288644760906240702073739271862

0.7051839276326086024069249978683676802396 0.2948160723673913975930750021316323197604

0.1362580553709650205671587958639108254371 0.8136877177113311079856607279436410055027 0.05005422691770387144718047619244817103404

0.963254661181939784541697812570814508542 0.036061804449265781877604576755579747727 0.000675031117182133889386641246080073471 0.000008423816022207529000497275753134096 0.000000078841561414479930288051042890569 0.000000000590325504724806157073630759195 0.000000000003683380897888912794159943271 0.000000000000019699487433401157231859786 0.000000000000000092187337913112477356138 0.000000000000000000383473272263786145371 0.000000000000000000001435626393847756964 0.000000000000000000000004886018239041382 0.000000000000000000000000015243341262048 0.000000000000000000000000000043897840383 0.000000000000000000000000000000117387392 0.000000000000000000000000000000000292979 0.000000000000000000000000000000000000686

0.5228832048293774359172171012578362439182 0.4771167951706225640827828987421637560818

0.8483959782128407402217490283069470372675 0.07749779877392303827421876514891938065788 0.07410622301323622150403220654413358207461


