P02 · Packing and covering · Classic · Weak baseline · Hard

Equal-circle packing in a unit circle · n = 272

Also known ascircles in a circlepacking equal circles in a circlecci

Place n non-overlapping circles of one common radius inside a circle of radius 1, making that radius as large as possible.

Instancen = 272

ObjectiveMaximize common radius

Record comparison

common radius · Higher is better

Record	Value / interval	Author / holder	Source
External best known	[0.0556817994296318702009119854845, 0.0556817994296318702009119854855]	See source attribution	packomania.com ↗
Site record	0.055681799	游侠	Record details ↓

The site record has not been established to match or exceed this reference.

Formal definition

ContainerA circle of radius 1 centred at (1, 1), so both coordinates run from 0 to 2
SubmissionExactly n circles: one shared radius and n centres
ConstraintsEvery circle lies wholly inside the container; no two overlap in their interiors, tangency allowed
ObjectiveMake the common radius as large as possible

Challenge this record ↗

Layout shown: site record

2y0

123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216217218219220221222223224225226227228229230231232233234235236237238239240241242243244245246247248249250251252253254255256257258259260261262263264265266267268269270271272

0x2

VERIFIED CONSTRUCTIONr = 0.055681799

Getting a feel for it

Where the room for improvement is

Optimal packings are jammed contact structures: circles brace against each other and the boundary, with tilted rows, offsets, and the odd rattler touching nothing. Neat grids are almost never optimal.

Where the frontier is

The optima for n = 1..14 and 19 are proved; optimality remains open for the other sizes. This site imports Packomania's public constructions through n = 300 and presents the algorithm-scale cases in one table.

Source

LAYOUT & HISTORY

Record details

Inspect the layout, solver notes and record history.

Record holder游侠

Solution methodAI · OpenAI: GPT-5.6 Sol

Challenge this record ↗Submit a proof / idea ↓Share a proof or idea in the discussion. Accepted contributions can earn proof points.

Record holder's solver noteNo solver note yet (expand)＋

The record holder has not shared a solver note yet.

Record history (1 changes)

游侠AI · OpenAI: GPT-5.6 Sol
0.055681798→0.055681799
2026-09-06

ANSWER FORMAT

How to write your answer

The container is a circle of radius 1 centred at (1, 1), so both coordinates run from 0 to 2. Coordinates and radii share one unit and are written as plain decimals such as "0.5", to at most nine decimal places.

Submit radius and centers. Write every number as a decimal string, for example "0.2".

The current leader's answer

{
  "centers": [
    [
      "0.367005624",
      "1.058572160"
    ],
    [
      "1.561427860",
      "1.536647732"
    ],
    [
      "1.529654868",
      "1.656803321"
    ],
    [
      "1.131238682",
      "0.561710147"
    ],
    [
      "0.920466288",
      "1.260891524"
    ],
    [
      "0.994233613",
      "0.201121233"
    ],
    [
      "1.699898973",
      "1.274135232"
    ],
    [
      "1.350851693",
      "1.778961324"
    ],
    [
      "1.042341970",
      "1.111386100"
    ],
    [
      "1.649140662",
      "0.983899893"
    ],
    [
      "1.898838643",
      "0.710472873"
    ],
    [
      "0.994596683",
      "1.944302742"
    ],
    [
      "0.744609603",
      "1.740983983"
    ],
    [
      "0.124667424",
      "0.645698228"
    ],
    [
      "0.060313896",
      "1.093417820"
    ],
    [
      "0.991583658",
      "0.821150761"
    ],
    [
      "1.339431360",
      "0.482569681"
    ],
    [
      "0.780811264",
      "1.520332138"
    ],
    [
      "0.646315672",
      "0.539690931"
    ],
    [
      "0.453291958",
      "0.508505726"
    ],
    [
      "1.476506668",
      "0.843169978"
    ],
    [
      "1.232755305",
      "1.142180825"
    ],
    [
      "1.082171026",
      "0.269450309"
    ],
    [
      "0.902686945",
      "1.370826714"
    ],
    [
      "1.166797367",
      "0.341839766"
    ],
    [
      "1.170142833",
      "0.071136027"
    ],
    [
      "0.869707976",
      "0.970656185"
    ],
    [
      "1.093100281",
      "1.401621439"
    ],
    [
      "0.441268654",
      "1.761209493"
    ],
    [
      "0.226746378",
      "1.316385179"
    ],
    [
      "1.217251511",
      "1.918987837"
    ],
    [
      "1.075320939",
      "1.511556630"
    ],
    [
      "1.318371303",
      "0.201533596"
    ],
    [
      "0.768191353",
      "0.390185508"
    ],
    [
      "0.590397928",
      "1.489537413"
    ],
    [
      "0.798590606",
      "1.410396947"
    ],
    [
      "0.384784966",
      "0.948636969"
    ],
    [
      "0.836729007",
      "0.570485656"
    ],
    [
      "0.399984593",
      "1.458742689"
    ],
    [
      "1.562823665",
      "0.913534935"
    ],
    [
      "1.735457658",
      "1.054264850"
    ],
    [
      "0.803719114",
      "0.170310130"
    ],
    [
      "0.730052952",
      "1.230096799"
    ],
    [
      "0.275595984",
      "0.873755845"
    ],
    [
      "0.956024973",
      "1.041021143"
    ],
    [
      "1.491706295",
      "1.353275698"
    ],
    [
      "0.763031921",
      "1.630267329"
    ],
    [
      "0.521860274",
      "1.309237265"
    ],
    [
      "1.044921686",
      "0.491345190"
    ],
    [
      "0.661515298",
      "1.049796651"
    ],
    [
      "1.247954932",
      "1.652286545"
    ],
    [
      "1.786853886",
      "1.343710330"
    ],
    [
      "1.387609956",
      "1.392845931"
    ],
    [
      "0.433346914",
      "0.295196287"
    ],
    [
      "0.329396497",
      "0.335148283"
    ],
    [
      "1.323928611",
      "1.887021487"
    ],
    [
      "0.851928634",
      "1.080591376"
    ],
    [
      "1.595802634",
      "1.313705465"
    ],
    [
      "0.262305063",
      "1.096514798"
    ],
    [
      "0.750412011",
      "0.500120698"
    ],
    [
      "1.240579880",
      "1.763405669"
    ],
    [
      "0.884907603",
      "1.480761905"
    ],
    [
      "1.515655153",
      "0.208901632"
    ],
    [
      "0.658935582",
      "1.669837562"
    ],
    [
      "0.539639617",
      "1.199302075"
    ],
    [
      "0.135804593",
      "1.380661480"
    ],
    [
      "0.779754503",
      "1.918274896"
    ],
    [
      "1.164217651",
      "0.961880677"
    ],
    [
      "1.613581976",
      "1.203770274"
    ],
    [
      "1.631316383",
      "1.702265255"
    ],
    [
      "1.452686080",
      "0.430518071"
    ],
    [
      "1.717678316",
      "1.164200041"
    ],
    [
      "1.095679997",
      "0.781580528"
    ],
    [
      "0.506660648",
      "0.799131545"
    ],
    [
      "0.747832295",
      "1.120161609"
    ],
    [
      "1.944015686",
      "0.976099194"
    ],
    [
      "0.816369949",
      "1.300461757"
    ],
    [
      "0.872287692",
      "0.350615275"
    ],
    [
      "0.610756987",
      "0.759561312"
    ],
    [
      "0.989003942",
      "1.441191672"
    ],
    [
      "0.324861135",
      "0.547228639"
    ],
    [
      "1.106906830",
      "1.938232003"
    ],
    [
      "1.458727326",
      "0.953105168"
    ],
    [
      "0.628536329",
      "0.649626122"
    ],
    [
      "0.355222688",
      "1.689926867"
    ],
    [
      "0.453322620",
      "1.128937117"
    ],
    [
      "1.612872127",
      "0.282303681"
    ],
    [
      "0.577707675",
      "0.359379430"
    ],
    [
      "0.679294641",
      "0.939861460"
    ],
    [
      "1.404688299",
      "0.271898554"
    ],
    [
      "1.684699347",
      "0.764029512"
    ],
    [
      "1.664347006",
      "1.493997372"
    ],
    [
      "1.062701028",
      "0.381409999"
    ],
    [
      "1.449618824",
      "1.830409403"
    ],
    [
      "0.718504884",
      "0.098613644"
    ],
    [
      "1.527264980",
      "1.133405316"
    ],
    [
      "1.631361319",
      "1.093835083"
    ],
    [
      "1.321652018",
      "0.592504872"
    ],
    [
      "1.892561723",
      "1.305574592"
    ],
    [
      "0.955370545",
      "0.096758821"
    ],
    [
      "1.857698689",
      "0.905734236"
    ],
    [
      "0.162028434",
      "1.048074641"
    ],
    [
      "0.471101963",
      "1.019001926"
    ],
    [
      "1.179417278",
      "1.471986397"
    ],
    [
      "1.286093333",
      "0.812375253"
    ],
    [
      "0.231616197",
      "0.614652923"
    ],
    [
      "0.059285687",
      "0.976632025"
    ],
    [
      "1.666920004",
      "0.873964702"
    ],
    [
      "0.801170322",
      "0.790356037"
    ],
    [
      "1.352051271",
      "1.612716312"
    ],
    [
      "1.301292959",
      "1.322480973"
    ],
    [
      "1.405389298",
      "1.282910740"
    ],
    [
      "0.890342122",
      "1.905151270"
    ],
    [
      "1.319072302",
      "1.212545782"
    ],
    [
      "1.926672906",
      "0.818301927"
    ],
    [
      "0.592977644",
      "0.869496503"
    ],
    [
      "1.009363001",
      "0.711215571"
    ],
    [
      "0.486301589",
      "1.529107646"
    ],
    [
      "1.027142343",
      "0.601280380"
    ],
    [
      "1.804633228",
      "1.233775140"
    ],
    [
      "0.867128260",
      "1.590697096"
    ],
    [
      "0.534985473",
      "1.821382491"
    ],
    [
      "1.683122626",
      "1.384227944"
    ],
    [
      "0.402564309",
      "0.838701778"
    ],
    [
      "1.658302993",
      "0.479282424"
    ],
    [
      "1.197196620",
      "1.362051206"
    ],
    [
      "1.149018025",
      "0.451774957"
    ],
    [
      "1.077900655",
      "0.891515719"
    ],
    [
      "0.765611637",
      "1.010226418"
    ],
    [
      "1.509485637",
      "1.243340507"
    ],
    [
      "0.313116724",
      "1.388448422"
    ],
    [
      "1.369830613",
      "1.502781121"
    ],
    [
      "0.179807776",
      "0.938139450"
    ],
    [
      "1.774618919",
      "1.540094801"
    ],
    [
      "1.390189672",
      "0.772805020"
    ],
    [
      "1.512065353",
      "0.623299596"
    ],
    [
      "0.575198302",
      "0.979431693"
    ],
    [
      "0.089044113",
      "0.751210459"
    ],
    [
      "1.128658966",
      "1.181751058"
    ],
    [
      "0.940825347",
      "0.530915423"
    ],
    [
      "0.364967022",
      "0.440678321"
    ],
    [
      "1.206111682",
      "0.208207905"
    ],
    [
      "0.170484152",
      "0.827166836"
    ],
    [
      "1.057541596",
      "1.621491820"
    ],
    [
      "0.553840988",
      "1.709241693"
    ],
    [
      "0.673182153",
      "1.885961037"
    ],
    [
      "1.701846181",
      "0.652468841"
    ],
    [
      "0.420343651",
      "0.728766588"
    ],
    [
      "1.529212188",
      "0.511738925"
    ],
    [
      "0.244525721",
      "1.206449988"
    ],
    [
      "0.847775886",
      "0.068031823"
    ],
    [
      "0.192533752",
      "0.510372466"
    ],
    [
      "1.425558529",
      "1.696373554"
    ],
    [
      "0.438122994",
      "0.618831397"
    ],
    [
      "1.753237001",
      "0.944329660"
    ],
    [
      "1.418937379",
      "0.153697255"
    ],
    [
      "1.235335021",
      "0.522139914"
    ],
    [
      "1.103123228",
      "0.160075465"
    ],
    [
      "1.425748357",
      "0.552934639"
    ],
    [
      "1.336851644",
      "1.102610592"
    ],
    [
      "1.150956079",
      "1.829507299"
    ],
    [
      "0.524439990",
      "0.689196355"
    ],
    [
      "0.213836855",
      "0.724588113"
    ],
    [
      "0.676714925",
      "1.559902371"
    ],
    [
      "0.699021021",
      "0.208259575"
    ],
    [
      "1.494286011",
      "0.733234787"
    ],
    [
      "0.958604689",
      "0.420980232"
    ],
    [
      "0.625956613",
      "1.269667032"
    ],
    [
      "0.504080932",
      "1.419172456"
    ],
    [
      "1.688295801",
      "0.364329949"
    ],
    [
      "1.040387315",
      "1.842788855"
    ],
    [
      "0.712273610",
      "1.340031990"
    ],
    [
      "0.818949665",
      "0.680420846"
    ],
    [
      "1.858503761",
      "0.606670424"
    ],
    [
      "0.938245630",
      "1.150956333"
    ],
    [
      "0.435543278",
      "1.238872308"
    ],
    [
      "1.268313990",
      "0.922310444"
    ],
    [
      "1.039762254",
      "1.731427011"
    ],
    [
      "1.407969014",
      "0.662869829"
    ],
    [
      "1.788163178",
      "0.722833798"
    ],
    [
      "1.578023291",
      "1.423640655"
    ],
    [
      "0.697073983",
      "0.829926270"
    ],
    [
      "1.440947983",
      "1.063040359"
    ],
    [
      "0.138344743",
      "1.172872448"
    ],
    [
      "1.940264948",
      "1.087399612"
    ],
    [
      "1.161637935",
      "1.581921587"
    ],
    [
      "0.595557327",
      "0.249455633"
    ],
    [
      "1.357210703",
      "0.372634491"
    ],
    [
      "0.976384032",
      "0.311045042"
    ],
    [
      "0.854508350",
      "0.460550465"
    ],
    [
      "0.572618586",
      "1.599472604"
    ],
    [
      "1.771172317",
      "0.834262635"
    ],
    [
      "1.253114364",
      "0.412204724"
    ],
    [
      "1.764454530",
      "0.445611927"
    ],
    [
      "0.316247312",
      "0.768336821"
    ],
    [
      "1.303872675",
      "0.702440062"
    ],
    [
      "0.940877069",
      "1.786309742"
    ],
    [
      "1.473926952",
      "1.463210888"
    ],
    [
      "0.382581036",
      "1.569652658"
    ],
    [
      "1.544252204",
      "1.771703572"
    ],
    [
      "0.542219333",
      "0.579261164"
    ],
    [
      "0.849348918",
      "1.700632286"
    ],
    [
      "1.113459340",
      "0.671645338"
    ],
    [
      "0.280084406",
      "0.986579607"
    ],
    [
      "0.417763935",
      "1.348807498"
    ],
    [
      "1.214975963",
      "1.252116015"
    ],
    [
      "1.146438309",
      "1.071815867"
    ],
    [
      "1.923166781",
      "1.198376578"
    ],
    [
      "1.456147610",
      "1.573146079"
    ],
    [
      "1.832815048",
      "1.445147122"
    ],
    [
      "0.923046004",
      "0.640850613"
    ],
    [
      "1.598382350",
      "0.693664554"
    ],
    [
      "1.265734274",
      "1.542351354"
    ],
    [
      "0.334026655",
      "0.658401630"
    ],
    [
      "0.097000641",
      "1.276277072"
    ],
    [
      "0.714853326",
      "0.719991079"
    ],
    [
      "0.732632668",
      "0.610055889"
    ],
    [
      "0.640157984",
      "1.779606651"
    ],
    [
      "0.611614659",
      "0.139248255"
    ],
    [
      "1.372410329",
      "0.882740211"
    ],
    [
      "1.199776336",
      "0.742010295"
    ],
    [
      "1.059609217",
      "0.057565066"
    ],
    [
      "1.571985997",
      "0.408917466"
    ],
    [
      "1.024562627",
      "1.221321291"
    ],
    [
      "0.473636675",
      "0.399016258"
    ],
    [
      "0.834149291",
      "1.190526566"
    ],
    [
      "1.110879624",
      "1.291686248"
    ],
    [
      "0.349226281",
      "1.168507350"
    ],
    [
      "1.354630987",
      "0.992675401"
    ],
    [
      "0.255790066",
      "0.418718280"
    ],
    [
      "0.557418959",
      "1.089366884"
    ],
    [
      "0.296264039",
      "1.499287700"
    ],
    [
      "1.505234520",
      "0.319776614"
    ],
    [
      "0.494692536",
      "0.202252402"
    ],
    [
      "1.146929920",
      "1.699257302"
    ],
    [
      "1.006783285",
      "1.331256481"
    ],
    [
      "0.973804316",
      "0.931085952"
    ],
    [
      "0.643735956",
      "1.159731842"
    ],
    [
      "0.186627363",
      "1.479751828"
    ],
    [
      "1.250534648",
      "1.032245634"
    ],
    [
      "1.217555679",
      "0.632075105"
    ],
    [
      "1.270893706",
      "0.302269533"
    ],
    [
      "1.283513617",
      "1.432416164"
    ],
    [
      "1.683239094",
      "1.603746814"
    ],
    [
      "1.836168609",
      "1.126969845"
    ],
    [
      "0.953445257",
      "1.661062053"
    ],
    [
      "1.278310183",
      "0.097625185"
    ],
    [
      "0.664095014",
      "0.429755741"
    ],
    [
      "1.423168641",
      "1.172975549"
    ],
    [
      "0.890070682",
      "0.240649345"
    ],
    [
      "0.488881305",
      "0.909066736"
    ],
    [
      "1.758911934",
      "0.556837512"
    ],
    [
      "0.559998675",
      "0.469325974"
    ],
    [
      "0.887487319",
      "0.860720994"
    ],
    [
      "1.580603007",
      "0.803599745"
    ],
    [
      "1.060121312",
      "1.001450910"
    ],
    [
      "0.831559148",
      "1.810565790"
    ],
    [
      "0.785970696",
      "0.280250317"
    ],
    [
      "0.331446938",
      "1.278442541"
    ],
    [
      "1.839919347",
      "1.015669427"
    ],
    [
      "0.694494267",
      "1.449967180"
    ],
    [
      "0.905266661",
      "0.750785804"
    ],
    [
      "0.065731262",
      "0.865225708"
    ],
    [
      "0.971224599",
      "1.551126863"
    ],
    [
      "0.459319027",
      "1.650356634"
    ],
    [
      "0.278484697",
      "1.609222891"
    ],
    [
      "0.681874357",
      "0.319820550"
    ],
    [
      "0.608177271",
      "1.379602223"
    ],
    [
      "0.783390980",
      "0.900291227"
    ],
    [
      "1.545044322",
      "1.023470126"
    ],
    [
      "1.181996994",
      "0.851945486"
    ],
    [
      "1.615529185",
      "0.582103883"
    ]
  ],
  "radius": "0.055681799"
}

Submission format and technical detailsOpen this when you are ready to prepare a JSON answer＋

Instance parameters

{
  "n": 272
}

The current leader's answer

{
  "centers": [
    [
      "0.367005624",
      "1.058572160"
    ],
    [
      "1.561427860",
      "1.536647732"
    ],
    [
      "1.529654868",
      "1.656803321"
    ],
    [
      "1.131238682",
      "0.561710147"
    ],
    [
      "0.920466288",
      "1.260891524"
    ],
    [
      "0.994233613",
      "0.201121233"
    ],
    [
      "1.699898973",
      "1.274135232"
    ],
    [
      "1.350851693",
      "1.778961324"
    ],
    [
      "1.042341970",
      "1.111386100"
    ],
    [
      "1.649140662",
      "0.983899893"
    ],
    [
      "1.898838643",
      "0.710472873"
    ],
    [
      "0.994596683",
      "1.944302742"
    ],
    [
      "0.744609603",
      "1.740983983"
    ],
    [
      "0.124667424",
      "0.645698228"
    ],
    [
      "0.060313896",
      "1.093417820"
    ],
    [
      "0.991583658",
      "0.821150761"
    ],
    [
      "1.339431360",
      "0.482569681"
    ],
    [
      "0.780811264",
      "1.520332138"
    ],
    [
      "0.646315672",
      "0.539690931"
    ],
    [
      "0.453291958",
      "0.508505726"
    ],
    [
      "1.476506668",
      "0.843169978"
    ],
    [
      "1.232755305",
      "1.142180825"
    ],
    [
      "1.082171026",
      "0.269450309"
    ],
    [
      "0.902686945",
      "1.370826714"
    ],
    [
      "1.166797367",
      "0.341839766"
    ],
    [
      "1.170142833",
      "0.071136027"
    ],
    [
      "0.869707976",
      "0.970656185"
    ],
    [
      "1.093100281",
      "1.401621439"
    ],
    [
      "0.441268654",
      "1.761209493"
    ],
    [
      "0.226746378",
      "1.316385179"
    ],
    [
      "1.217251511",
      "1.918987837"
    ],
    [
      "1.075320939",
      "1.511556630"
    ],
    [
      "1.318371303",
      "0.201533596"
    ],
    [
      "0.768191353",
      "0.390185508"
    ],
    [
      "0.590397928",
      "1.489537413"
    ],
    [
      "0.798590606",
      "1.410396947"
    ],
    [
      "0.384784966",
      "0.948636969"
    ],
    [
      "0.836729007",
      "0.570485656"
    ],
    [
      "0.399984593",
      "1.458742689"
    ],
    [
      "1.562823665",
      "0.913534935"
    ],
    [
      "1.735457658",
      "1.054264850"
    ],
    [
      "0.803719114",
      "0.170310130"
    ],
    [
      "0.730052952",
      "1.230096799"
    ],
    [
      "0.275595984",
      "0.873755845"
    ],
    [
      "0.956024973",
      "1.041021143"
    ],
    [
      "1.491706295",
      "1.353275698"
    ],
    [
      "0.763031921",
      "1.630267329"
    ],
    [
      "0.521860274",
      "1.309237265"
    ],
    [
      "1.044921686",
      "0.491345190"
    ],
    [
      "0.661515298",
      "1.049796651"
    ],
    [
      "1.247954932",
      "1.652286545"
    ],
    [
      "1.786853886",
      "1.343710330"
    ],
    [
      "1.387609956",
      "1.392845931"
    ],
    [
      "0.433346914",
      "0.295196287"
    ],
    [
      "0.329396497",
      "0.335148283"
    ],
    [
      "1.323928611",
      "1.887021487"
    ],
    [
      "0.851928634",
      "1.080591376"
    ],
    [
      "1.595802634",
      "1.313705465"
    ],
    [
      "0.262305063",
      "1.096514798"
    ],
    [
      "0.750412011",
      "0.500120698"
    ],
    [
      "1.240579880",
      "1.763405669"
    ],
    [
      "0.884907603",
      "1.480761905"
    ],
    [
      "1.515655153",
      "0.208901632"
    ],
    [
      "0.658935582",
      "1.669837562"
    ],
    [
      "0.539639617",
      "1.199302075"
    ],
    [
      "0.135804593",
      "1.380661480"
    ],
    [
      "0.779754503",
      "1.918274896"
    ],
    [
      "1.164217651",
      "0.961880677"
    ],
    [
      "1.613581976",
      "1.203770274"
    ],
    [
      "1.631316383",
      "1.702265255"
    ],
    [
      "1.452686080",
      "0.430518071"
    ],
    [
      "1.717678316",
      "1.164200041"
    ],
    [
      "1.095679997",
      "0.781580528"
    ],
    [
      "0.506660648",
      "0.799131545"
    ],
    [
      "0.747832295",
      "1.120161609"
    ],
    [
      "1.944015686",
      "0.976099194"
    ],
    [
      "0.816369949",
      "1.300461757"
    ],
    [
      "0.872287692",
      "0.350615275"
    ],
    [
      "0.610756987",
      "0.759561312"
    ],
    [
      "0.989003942",
      "1.441191672"
    ],
    [
      "0.324861135",
      "0.547228639"
    ],
    [
      "1.106906830",
      "1.938232003"
    ],
    [
      "1.458727326",
      "0.953105168"
    ],
    [
      "0.628536329",
      "0.649626122"
    ],
    [
      "0.355222688",
      "1.689926867"
    ],
    [
      "0.453322620",
      "1.128937117"
    ],
    [
      "1.612872127",
      "0.282303681"
    ],
    [
      "0.577707675",
      "0.359379430"
    ],
    [
      "0.679294641",
      "0.939861460"
    ],
    [
      "1.404688299",
      "0.271898554"
    ],
    [
      "1.684699347",
      "0.764029512"
    ],
    [
      "1.664347006",
      "1.493997372"
    ],
    [
      "1.062701028",
      "0.381409999"
    ],
    [
      "1.449618824",
      "1.830409403"
    ],
    [
      "0.718504884",
      "0.098613644"
    ],
    [
      "1.527264980",
      "1.133405316"
    ],
    [
      "1.631361319",
      "1.093835083"
    ],
    [
      "1.321652018",
      "0.592504872"
    ],
    [
      "1.892561723",
      "1.305574592"
    ],
    [
      "0.955370545",
      "0.096758821"
    ],
    [
      "1.857698689",
      "0.905734236"
    ],
    [
      "0.162028434",
      "1.048074641"
    ],
    [
      "0.471101963",
      "1.019001926"
    ],
    [
      "1.179417278",
      "1.471986397"
    ],
    [
      "1.286093333",
      "0.812375253"
    ],
    [
      "0.231616197",
      "0.614652923"
    ],
    [
      "0.059285687",
      "0.976632025"
    ],
    [
      "1.666920004",
      "0.873964702"
    ],
    [
      "0.801170322",
      "0.790356037"
    ],
    [
      "1.352051271",
      "1.612716312"
    ],
    [
      "1.301292959",
      "1.322480973"
    ],
    [
      "1.405389298",
      "1.282910740"
    ],
    [
      "0.890342122",
      "1.905151270"
    ],
    [
      "1.319072302",
      "1.212545782"
    ],
    [
      "1.926672906",
      "0.818301927"
    ],
    [
      "0.592977644",
      "0.869496503"
    ],
    [
      "1.009363001",
      "0.711215571"
    ],
    [
      "0.486301589",
      "1.529107646"
    ],
    [
      "1.027142343",
      "0.601280380"
    ],
    [
      "1.804633228",
      "1.233775140"
    ],
    [
      "0.867128260",
      "1.590697096"
    ],
    [
      "0.534985473",
      "1.821382491"
    ],
    [
      "1.683122626",
      "1.384227944"
    ],
    [
      "0.402564309",
      "0.838701778"
    ],
    [
      "1.658302993",
      "0.479282424"
    ],
    [
      "1.197196620",
      "1.362051206"
    ],
    [
      "1.149018025",
      "0.451774957"
    ],
    [
      "1.077900655",
      "0.891515719"
    ],
    [
      "0.765611637",
      "1.010226418"
    ],
    [
      "1.509485637",
      "1.243340507"
    ],
    [
      "0.313116724",
      "1.388448422"
    ],
    [
      "1.369830613",
      "1.502781121"
    ],
    [
      "0.179807776",
      "0.938139450"
    ],
    [
      "1.774618919",
      "1.540094801"
    ],
    [
      "1.390189672",
      "0.772805020"
    ],
    [
      "1.512065353",
      "0.623299596"
    ],
    [
      "0.575198302",
      "0.979431693"
    ],
    [
      "0.089044113",
      "0.751210459"
    ],
    [
      "1.128658966",
      "1.181751058"
    ],
    [
      "0.940825347",
      "0.530915423"
    ],
    [
      "0.364967022",
      "0.440678321"
    ],
    [
      "1.206111682",
      "0.208207905"
    ],
    [
      "0.170484152",
      "0.827166836"
    ],
    [
      "1.057541596",
      "1.621491820"
    ],
    [
      "0.553840988",
      "1.709241693"
    ],
    [
      "0.673182153",
      "1.885961037"
    ],
    [
      "1.701846181",
      "0.652468841"
    ],
    [
      "0.420343651",
      "0.728766588"
    ],
    [
      "1.529212188",
      "0.511738925"
    ],
    [
      "0.244525721",
      "1.206449988"
    ],
    [
      "0.847775886",
      "0.068031823"
    ],
    [
      "0.192533752",
      "0.510372466"
    ],
    [
      "1.425558529",
      "1.696373554"
    ],
    [
      "0.438122994",
      "0.618831397"
    ],
    [
      "1.753237001",
      "0.944329660"
    ],
    [
      "1.418937379",
      "0.153697255"
    ],
    [
      "1.235335021",
      "0.522139914"
    ],
    [
      "1.103123228",
      "0.160075465"
    ],
    [
      "1.425748357",
      "0.552934639"
    ],
    [
      "1.336851644",
      "1.102610592"
    ],
    [
      "1.150956079",
      "1.829507299"
    ],
    [
      "0.524439990",
      "0.689196355"
    ],
    [
      "0.213836855",
      "0.724588113"
    ],
    [
      "0.676714925",
      "1.559902371"
    ],
    [
      "0.699021021",
      "0.208259575"
    ],
    [
      "1.494286011",
      "0.733234787"
    ],
    [
      "0.958604689",
      "0.420980232"
    ],
    [
      "0.625956613",
      "1.269667032"
    ],
    [
      "0.504080932",
      "1.419172456"
    ],
    [
      "1.688295801",
      "0.364329949"
    ],
    [
      "1.040387315",
      "1.842788855"
    ],
    [
      "0.712273610",
      "1.340031990"
    ],
    [
      "0.818949665",
      "0.680420846"
    ],
    [
      "1.858503761",
      "0.606670424"
    ],
    [
      "0.938245630",
      "1.150956333"
    ],
    [
      "0.435543278",
      "1.238872308"
    ],
    [
      "1.268313990",
      "0.922310444"
    ],
    [
      "1.039762254",
      "1.731427011"
    ],
    [
      "1.407969014",
      "0.662869829"
    ],
    [
      "1.788163178",
      "0.722833798"
    ],
    [
      "1.578023291",
      "1.423640655"
    ],
    [
      "0.697073983",
      "0.829926270"
    ],
    [
      "1.440947983",
      "1.063040359"
    ],
    [
      "0.138344743",
      "1.172872448"
    ],
    [
      "1.940264948",
      "1.087399612"
    ],
    [
      "1.161637935",
      "1.581921587"
    ],
    [
      "0.595557327",
      "0.249455633"
    ],
    [
      "1.357210703",
      "0.372634491"
    ],
    [
      "0.976384032",
      "0.311045042"
    ],
    [
      "0.854508350",
      "0.460550465"
    ],
    [
      "0.572618586",
      "1.599472604"
    ],
    [
      "1.771172317",
      "0.834262635"
    ],
    [
      "1.253114364",
      "0.412204724"
    ],
    [
      "1.764454530",
      "0.445611927"
    ],
    [
      "0.316247312",
      "0.768336821"
    ],
    [
      "1.303872675",
      "0.702440062"
    ],
    [
      "0.940877069",
      "1.786309742"
    ],
    [
      "1.473926952",
      "1.463210888"
    ],
    [
      "0.382581036",
      "1.569652658"
    ],
    [
      "1.544252204",
      "1.771703572"
    ],
    [
      "0.542219333",
      "0.579261164"
    ],
    [
      "0.849348918",
      "1.700632286"
    ],
    [
      "1.113459340",
      "0.671645338"
    ],
    [
      "0.280084406",
      "0.986579607"
    ],
    [
      "0.417763935",
      "1.348807498"
    ],
    [
      "1.214975963",
      "1.252116015"
    ],
    [
      "1.146438309",
      "1.071815867"
    ],
    [
      "1.923166781",
      "1.198376578"
    ],
    [
      "1.456147610",
      "1.573146079"
    ],
    [
      "1.832815048",
      "1.445147122"
    ],
    [
      "0.923046004",
      "0.640850613"
    ],
    [
      "1.598382350",
      "0.693664554"
    ],
    [
      "1.265734274",
      "1.542351354"
    ],
    [
      "0.334026655",
      "0.658401630"
    ],
    [
      "0.097000641",
      "1.276277072"
    ],
    [
      "0.714853326",
      "0.719991079"
    ],
    [
      "0.732632668",
      "0.610055889"
    ],
    [
      "0.640157984",
      "1.779606651"
    ],
    [
      "0.611614659",
      "0.139248255"
    ],
    [
      "1.372410329",
      "0.882740211"
    ],
    [
      "1.199776336",
      "0.742010295"
    ],
    [
      "1.059609217",
      "0.057565066"
    ],
    [
      "1.571985997",
      "0.408917466"
    ],
    [
      "1.024562627",
      "1.221321291"
    ],
    [
      "0.473636675",
      "0.399016258"
    ],
    [
      "0.834149291",
      "1.190526566"
    ],
    [
      "1.110879624",
      "1.291686248"
    ],
    [
      "0.349226281",
      "1.168507350"
    ],
    [
      "1.354630987",
      "0.992675401"
    ],
    [
      "0.255790066",
      "0.418718280"
    ],
    [
      "0.557418959",
      "1.089366884"
    ],
    [
      "0.296264039",
      "1.499287700"
    ],
    [
      "1.505234520",
      "0.319776614"
    ],
    [
      "0.494692536",
      "0.202252402"
    ],
    [
      "1.146929920",
      "1.699257302"
    ],
    [
      "1.006783285",
      "1.331256481"
    ],
    [
      "0.973804316",
      "0.931085952"
    ],
    [
      "0.643735956",
      "1.159731842"
    ],
    [
      "0.186627363",
      "1.479751828"
    ],
    [
      "1.250534648",
      "1.032245634"
    ],
    [
      "1.217555679",
      "0.632075105"
    ],
    [
      "1.270893706",
      "0.302269533"
    ],
    [
      "1.283513617",
      "1.432416164"
    ],
    [
      "1.683239094",
      "1.603746814"
    ],
    [
      "1.836168609",
      "1.126969845"
    ],
    [
      "0.953445257",
      "1.661062053"
    ],
    [
      "1.278310183",
      "0.097625185"
    ],
    [
      "0.664095014",
      "0.429755741"
    ],
    [
      "1.423168641",
      "1.172975549"
    ],
    [
      "0.890070682",
      "0.240649345"
    ],
    [
      "0.488881305",
      "0.909066736"
    ],
    [
      "1.758911934",
      "0.556837512"
    ],
    [
      "0.559998675",
      "0.469325974"
    ],
    [
      "0.887487319",
      "0.860720994"
    ],
    [
      "1.580603007",
      "0.803599745"
    ],
    [
      "1.060121312",
      "1.001450910"
    ],
    [
      "0.831559148",
      "1.810565790"
    ],
    [
      "0.785970696",
      "0.280250317"
    ],
    [
      "0.331446938",
      "1.278442541"
    ],
    [
      "1.839919347",
      "1.015669427"
    ],
    [
      "0.694494267",
      "1.449967180"
    ],
    [
      "0.905266661",
      "0.750785804"
    ],
    [
      "0.065731262",
      "0.865225708"
    ],
    [
      "0.971224599",
      "1.551126863"
    ],
    [
      "0.459319027",
      "1.650356634"
    ],
    [
      "0.278484697",
      "1.609222891"
    ],
    [
      "0.681874357",
      "0.319820550"
    ],
    [
      "0.608177271",
      "1.379602223"
    ],
    [
      "0.783390980",
      "0.900291227"
    ],
    [
      "1.545044322",
      "1.023470126"
    ],
    [
      "1.181996994",
      "0.851945486"
    ],
    [
      "1.615529185",
      "0.582103883"
    ]
  ],
  "radius": "0.055681799"
}

Submit radius and centers. Write every number as a decimal string, for example "0.2". · Verifier v1.0.0

DISCUSSION

Discussion

Talk strategy, share methods, ask why you are stuck. Every signed-in user can post. Posts carry your public byline, the same name your records use; the #number after it is the account's signup ordinal, so a name cannot be worn by someone else. New posts appear after an automated review.

No threads yet. Be the first to talk about this problem?