MinMax Arena
中/EN
P01 · Packing and covering · Classic · Hard

Equal-circle packing in a unit square · n = 259

Also known ascircle packing in a squarepacking equal circles in a unit squarecsq

Place n non-overlapping circles of one common radius inside the unit square, making that radius as large as possible.

Instancen = 259
ObjectiveMaximize common radius

Record comparison

common radius · Higher is better
RecordValue / intervalAuthor / holderSource
External best known[0.0323003623345, 0.0323003623355]See source attributionpackomania.com ↗
Site record0.032300362游侠Record details ↓

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

Formal definition

  • ContainerThe unit square: the origin (0, 0) at its lower-left corner, (1, 1) at its upper right
  • 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

1y0
0x1
VERIFIED CONSTRUCTIONr = 0.032300362

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 = 1–30 are proved and make a compact gallery of classic contact structures. For n = 31–300 the public Packomania frontier is imported; optimality remains open except at n = 36. The large instances share one dense table for algorithmic challenges.

Source
The record-holding arrangement for Equal-circle packing in a unit square n = 259, 0.032300362
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)
  1. 游侠AI · OpenAI: GPT-5.6 Sol
    0.032300361→0.032300362
ANSWER FORMAT

How to write your answer

The container is a square of side 1. Its lower-left corner is the origin (0, 0) and its upper-right corner is (1, 1). Coordinates and lengths 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 "0.25".

The current leader's answer

{
  "centers": [
    [
      "0.032300362",
      "0.032300362"
    ],
    [
      "0.144192099",
      "0.032300362"
    ],
    [
      "0.256083838",
      "0.032300362"
    ],
    [
      "0.367975577",
      "0.032300362"
    ],
    [
      "0.479884559",
      "0.032300362"
    ],
    [
      "0.840062542",
      "0.032300362"
    ],
    [
      "0.904663267",
      "0.032300362"
    ],
    [
      "0.592638812",
      "0.032300365"
    ],
    [
      "0.710869531",
      "0.032300382"
    ],
    [
      "0.775466029",
      "0.033039396"
    ],
    [
      "0.967699638",
      "0.046430808"
    ],
    [
      "0.651754168",
      "0.058350863"
    ],
    [
      "0.536261661",
      "0.063842018"
    ],
    [
      "0.423930067",
      "0.064585790"
    ],
    [
      "0.312029707",
      "0.064600723"
    ],
    [
      "0.200137968",
      "0.064600723"
    ],
    [
      "0.088246231",
      "0.064600725"
    ],
    [
      "0.810831226",
      "0.089909248"
    ],
    [
      "0.875431951",
      "0.089909248"
    ],
    [
      "0.703872216",
      "0.096521045"
    ],
    [
      "0.591766086",
      "0.096895195"
    ],
    [
      "0.479867315",
      "0.096901084"
    ],
    [
      "0.032300362",
      "0.096901087"
    ],
    [
      "0.144192100",
      "0.096901087"
    ],
    [
      "0.256083837",
      "0.096901086"
    ],
    [
      "0.367975575",
      "0.096901086"
    ],
    [
      "0.967699638",
      "0.111031533"
    ],
    [
      "0.647926321",
      "0.128821385"
    ],
    [
      "0.535818400",
      "0.129192411"
    ],
    [
      "0.423921446",
      "0.129201446"
    ],
    [
      "0.312029706",
      "0.129201448"
    ],
    [
      "0.088246231",
      "0.129201449"
    ],
    [
      "0.200137969",
      "0.129201449"
    ],
    [
      "0.759578231",
      "0.129233338"
    ],
    [
      "0.911753769",
      "0.143331895"
    ],
    [
      "0.819096395",
      "0.154919403"
    ],
    [
      "0.591762452",
      "0.161495922"
    ],
    [
      "0.479867314",
      "0.161501809"
    ],
    [
      "0.032300362",
      "0.161501811"
    ],
    [
      "0.144192100",
      "0.161501811"
    ],
    [
      "0.256083837",
      "0.161501812"
    ],
    [
      "0.367975575",
      "0.161501810"
    ],
    [
      "0.703632340",
      "0.161533663"
    ],
    [
      "0.967699638",
      "0.175632257"
    ],
    [
      "0.535816580",
      "0.193796287"
    ],
    [
      "0.423921444",
      "0.193802171"
    ],
    [
      "0.088246231",
      "0.193802173"
    ],
    [
      "0.312029706",
      "0.193802173"
    ],
    [
      "0.200137968",
      "0.193802174"
    ],
    [
      "0.647686492",
      "0.193834062"
    ],
    [
      "0.759578231",
      "0.193834063"
    ],
    [
      "0.871469968",
      "0.193834063"
    ],
    [
      "0.479867313",
      "0.226102534"
    ],
    [
      "0.032300362",
      "0.226102536"
    ],
    [
      "0.256083837",
      "0.226102536"
    ],
    [
      "0.367975575",
      "0.226102535"
    ],
    [
      "0.144192099",
      "0.226102536"
    ],
    [
      "0.591740623",
      "0.226134423"
    ],
    [
      "0.703632361",
      "0.226134424"
    ],
    [
      "0.815524099",
      "0.226134426"
    ],
    [
      "0.927415837",
      "0.226134426"
    ],
    [
      "0.423921444",
      "0.258402896"
    ],
    [
      "0.312029706",
      "0.258402898"
    ],
    [
      "0.200137968",
      "0.258402899"
    ],
    [
      "0.088246230",
      "0.258402899"
    ],
    [
      "0.647686493",
      "0.258434787"
    ],
    [
      "0.759578229",
      "0.258434787"
    ],
    [
      "0.871469968",
      "0.258434788"
    ],
    [
      "0.535794756",
      "0.258434789"
    ],
    [
      "0.967699638",
      "0.276636594"
    ],
    [
      "0.256083837",
      "0.290703261"
    ],
    [
      "0.367975575",
      "0.290703260"
    ],
    [
      "0.144192099",
      "0.290703261"
    ],
    [
      "0.032300362",
      "0.290703262"
    ],
    [
      "0.703632362",
      "0.290735151"
    ],
    [
      "0.815524099",
      "0.290735150"
    ],
    [
      "0.479848887",
      "0.290735151"
    ],
    [
      "0.591740625",
      "0.290735151"
    ],
    [
      "0.911753769",
      "0.308936956"
    ],
    [
      "0.312029706",
      "0.323003623"
    ],
    [
      "0.200137968",
      "0.323003624"
    ],
    [
      "0.088246231",
      "0.323003624"
    ],
    [
      "0.759578231",
      "0.323035513"
    ],
    [
      "0.535794756",
      "0.323035513"
    ],
    [
      "0.647686494",
      "0.323035514"
    ],
    [
      "0.423903019",
      "0.323035514"
    ],
    [
      "0.855807900",
      "0.341237318"
    ],
    [
      "0.967699638",
      "0.341237318"
    ],
    [
      "0.256083837",
      "0.355303985"
    ],
    [
      "0.032300362",
      "0.355303987"
    ],
    [
      "0.144192100",
      "0.355303987"
    ],
    [
      "0.367957150",
      "0.355335876"
    ],
    [
      "0.479848888",
      "0.355335876"
    ],
    [
      "0.591740625",
      "0.355335876"
    ],
    [
      "0.703632363",
      "0.355335876"
    ],
    [
      "0.799862032",
      "0.373537681"
    ],
    [
      "0.911753769",
      "0.373537681"
    ],
    [
      "0.088246231",
      "0.387604348"
    ],
    [
      "0.200137969",
      "0.387604350"
    ],
    [
      "0.312011281",
      "0.387636238"
    ],
    [
      "0.423903019",
      "0.387636238"
    ],
    [
      "0.535794756",
      "0.387636239"
    ],
    [
      "0.647686494",
      "0.387636238"
    ],
    [
      "0.855807900",
      "0.405838044"
    ],
    [
      "0.967699638",
      "0.405838043"
    ],
    [
      "0.743916164",
      "0.405838044"
    ],
    [
      "0.032300362",
      "0.419904711"
    ],
    [
      "0.144192099",
      "0.419904711"
    ],
    [
      "0.367957150",
      "0.419936600"
    ],
    [
      "0.479848888",
      "0.419936602"
    ],
    [
      "0.591740625",
      "0.419936600"
    ],
    [
      "0.256065414",
      "0.419936602"
    ],
    [
      "0.911753769",
      "0.438138405"
    ],
    [
      "0.687970295",
      "0.438138406"
    ],
    [
      "0.799862032",
      "0.438138407"
    ],
    [
      "0.088246231",
      "0.452205074"
    ],
    [
      "0.423903019",
      "0.452236963"
    ],
    [
      "0.535794757",
      "0.452236963"
    ],
    [
      "0.200119544",
      "0.452236963"
    ],
    [
      "0.312011283",
      "0.452236964"
    ],
    [
      "0.967699638",
      "0.470438768"
    ],
    [
      "0.632024426",
      "0.470438768"
    ],
    [
      "0.743916163",
      "0.470438769"
    ],
    [
      "0.855807901",
      "0.470438769"
    ],
    [
      "0.032300362",
      "0.484505436"
    ],
    [
      "0.479848888",
      "0.484537326"
    ],
    [
      "0.144173676",
      "0.484537326"
    ],
    [
      "0.367957151",
      "0.484537327"
    ],
    [
      "0.256065414",
      "0.484537326"
    ],
    [
      "0.576078558",
      "0.502739131"
    ],
    [
      "0.687970294",
      "0.502739131"
    ],
    [
      "0.799862032",
      "0.502739131"
    ],
    [
      "0.911753770",
      "0.502739131"
    ],
    [
      "0.088227807",
      "0.516837688"
    ],
    [
      "0.200119545",
      "0.516837689"
    ],
    [
      "0.312011282",
      "0.516837689"
    ],
    [
      "0.423903020",
      "0.516837689"
    ],
    [
      "0.520132688",
      "0.535039495"
    ],
    [
      "0.632024426",
      "0.535039494"
    ],
    [
      "0.743916164",
      "0.535039494"
    ],
    [
      "0.855807901",
      "0.535039493"
    ],
    [
      "0.967699638",
      "0.535039494"
    ],
    [
      "0.144173676",
      "0.549138050"
    ],
    [
      "0.256065414",
      "0.549138052"
    ],
    [
      "0.367957151",
      "0.549138052"
    ],
    [
      "0.032300362",
      "0.549169940"
    ],
    [
      "0.576078557",
      "0.567339856"
    ],
    [
      "0.687970295",
      "0.567339856"
    ],
    [
      "0.799862033",
      "0.567339856"
    ],
    [
      "0.911753769",
      "0.567339856"
    ],
    [
      "0.464186816",
      "0.567339862"
    ],
    [
      "0.200119544",
      "0.581438413"
    ],
    [
      "0.088246231",
      "0.581470303"
    ],
    [
      "0.314484957",
      "0.586085746"
    ],
    [
      "0.520132687",
      "0.599640219"
    ],
    [
      "0.632024426",
      "0.599640218"
    ],
    [
      "0.743916164",
      "0.599640218"
    ],
    [
      "0.855807901",
      "0.599640219"
    ],
    [
      "0.967699638",
      "0.599640218"
    ],
    [
      "0.408240947",
      "0.599640225"
    ],
    [
      "0.256101727",
      "0.613738766"
    ],
    [
      "0.032300362",
      "0.613770665"
    ],
    [
      "0.144192100",
      "0.613770666"
    ],
    [
      "0.576078557",
      "0.631940580"
    ],
    [
      "0.687970295",
      "0.631940580"
    ],
    [
      "0.799862032",
      "0.631940581"
    ],
    [
      "0.911753770",
      "0.631940581"
    ],
    [
      "0.464186817",
      "0.631940586"
    ],
    [
      "0.361944677",
      "0.644694736"
    ],
    [
      "0.200156116",
      "0.646039575"
    ],
    [
      "0.088246231",
      "0.646071027"
    ],
    [
      "0.299574432",
      "0.661523466"
    ],
    [
      "0.520132689",
      "0.664240943"
    ],
    [
      "0.632024426",
      "0.664240942"
    ],
    [
      "0.743916163",
      "0.664240943"
    ],
    [
      "0.855807901",
      "0.664240943"
    ],
    [
      "0.967699638",
      "0.664240944"
    ],
    [
      "0.417890546",
      "0.676995098"
    ],
    [
      "0.032300362",
      "0.678371390"
    ],
    [
      "0.144192100",
      "0.678371390"
    ],
    [
      "0.243628821",
      "0.693824275"
    ],
    [
      "0.576078558",
      "0.696541305"
    ],
    [
      "0.687970295",
      "0.696541306"
    ],
    [
      "0.799862032",
      "0.696541305"
    ],
    [
      "0.911753769",
      "0.696541306"
    ],
    [
      "0.361944935",
      "0.709295906"
    ],
    [
      "0.473837668",
      "0.709296738"
    ],
    [
      "0.088246231",
      "0.710671752"
    ],
    [
      "0.299574690",
      "0.726124637"
    ],
    [
      "0.187688605",
      "0.726134426"
    ],
    [
      "0.632024426",
      "0.728841668"
    ],
    [
      "0.743916163",
      "0.728841669"
    ],
    [
      "0.855807900",
      "0.728841668"
    ],
    [
      "0.967699638",
      "0.728841669"
    ],
    [
      "0.417891062",
      "0.741595822"
    ],
    [
      "0.529783537",
      "0.741597100"
    ],
    [
      "0.032300362",
      "0.742972115"
    ],
    [
      "0.243634474",
      "0.758434788"
    ],
    [
      "0.131742736",
      "0.758434789"
    ],
    [
      "0.687970294",
      "0.761142031"
    ],
    [
      "0.799862032",
      "0.761142031"
    ],
    [
      "0.911753769",
      "0.761142030"
    ],
    [
      "0.473837668",
      "0.773897463"
    ],
    [
      "0.585729405",
      "0.773897463"
    ],
    [
      "0.361945970",
      "0.773897531"
    ],
    [
      "0.075796867",
      "0.790735151"
    ],
    [
      "0.187688605",
      "0.790735151"
    ],
    [
      "0.299578831",
      "0.790737768"
    ],
    [
      "0.743916163",
      "0.793442393"
    ],
    [
      "0.855807901",
      "0.793442393"
    ],
    [
      "0.967699638",
      "0.793442393"
    ],
    [
      "0.529783536",
      "0.806197826"
    ],
    [
      "0.641675273",
      "0.806197826"
    ],
    [
      "0.417891839",
      "0.806197894"
    ],
    [
      "0.131742736",
      "0.823035514"
    ],
    [
      "0.243839287",
      "0.823392888"
    ],
    [
      "0.799862032",
      "0.825742756"
    ],
    [
      "0.911753769",
      "0.825742756"
    ],
    [
      "0.032300362",
      "0.838498188"
    ],
    [
      "0.585729405",
      "0.838498189"
    ],
    [
      "0.697621142",
      "0.838498187"
    ],
    [
      "0.473837707",
      "0.838498257"
    ],
    [
      "0.361993127",
      "0.838579796"
    ],
    [
      "0.187688604",
      "0.855335877"
    ],
    [
      "0.299727749",
      "0.855792477"
    ],
    [
      "0.855807900",
      "0.858043119"
    ],
    [
      "0.967699638",
      "0.858043118"
    ],
    [
      "0.088246231",
      "0.870798551"
    ],
    [
      "0.641675274",
      "0.870798551"
    ],
    [
      "0.753567011",
      "0.870798551"
    ],
    [
      "0.529783576",
      "0.870798619"
    ],
    [
      "0.417938995",
      "0.870880159"
    ],
    [
      "0.243724650",
      "0.887993511"
    ],
    [
      "0.911753769",
      "0.890343480"
    ],
    [
      "0.032300362",
      "0.903098913"
    ],
    [
      "0.144192100",
      "0.903098914"
    ],
    [
      "0.697621142",
      "0.903098914"
    ],
    [
      "0.809512879",
      "0.903098914"
    ],
    [
      "0.585729445",
      "0.903098982"
    ],
    [
      "0.473884864",
      "0.903180521"
    ],
    [
      "0.363686859",
      "0.905950936"
    ],
    [
      "0.300719452",
      "0.920385590"
    ],
    [
      "0.967699638",
      "0.922643842"
    ],
    [
      "0.088246231",
      "0.935399275"
    ],
    [
      "0.865458748",
      "0.935399275"
    ],
    [
      "0.753566972",
      "0.935399342"
    ],
    [
      "0.641628224",
      "0.935480769"
    ],
    [
      "0.200463535",
      "0.935969855"
    ],
    [
      "0.528136999",
      "0.938251299"
    ],
    [
      "0.407671340",
      "0.953264984"
    ],
    [
      "0.032300362",
      "0.967699638"
    ],
    [
      "0.144192099",
      "0.967699638"
    ],
    [
      "0.256734971",
      "0.967699638"
    ],
    [
      "0.344703932",
      "0.967699638"
    ],
    [
      "0.470638747",
      "0.967699638"
    ],
    [
      "0.585635251",
      "0.967699638"
    ],
    [
      "0.697621064",
      "0.967699638"
    ],
    [
      "0.809512880",
      "0.967699638"
    ],
    [
      "0.921404617",
      "0.967699638"
    ]
  ],
  "radius": "0.032300362"
}
Submission format and technical detailsOpen this when you are ready to prepare a JSON answer＋

Instance parameters

{
  "n": 259
}

The current leader's answer

{
  "centers": [
    [
      "0.032300362",
      "0.032300362"
    ],
    [
      "0.144192099",
      "0.032300362"
    ],
    [
      "0.256083838",
      "0.032300362"
    ],
    [
      "0.367975577",
      "0.032300362"
    ],
    [
      "0.479884559",
      "0.032300362"
    ],
    [
      "0.840062542",
      "0.032300362"
    ],
    [
      "0.904663267",
      "0.032300362"
    ],
    [
      "0.592638812",
      "0.032300365"
    ],
    [
      "0.710869531",
      "0.032300382"
    ],
    [
      "0.775466029",
      "0.033039396"
    ],
    [
      "0.967699638",
      "0.046430808"
    ],
    [
      "0.651754168",
      "0.058350863"
    ],
    [
      "0.536261661",
      "0.063842018"
    ],
    [
      "0.423930067",
      "0.064585790"
    ],
    [
      "0.312029707",
      "0.064600723"
    ],
    [
      "0.200137968",
      "0.064600723"
    ],
    [
      "0.088246231",
      "0.064600725"
    ],
    [
      "0.810831226",
      "0.089909248"
    ],
    [
      "0.875431951",
      "0.089909248"
    ],
    [
      "0.703872216",
      "0.096521045"
    ],
    [
      "0.591766086",
      "0.096895195"
    ],
    [
      "0.479867315",
      "0.096901084"
    ],
    [
      "0.032300362",
      "0.096901087"
    ],
    [
      "0.144192100",
      "0.096901087"
    ],
    [
      "0.256083837",
      "0.096901086"
    ],
    [
      "0.367975575",
      "0.096901086"
    ],
    [
      "0.967699638",
      "0.111031533"
    ],
    [
      "0.647926321",
      "0.128821385"
    ],
    [
      "0.535818400",
      "0.129192411"
    ],
    [
      "0.423921446",
      "0.129201446"
    ],
    [
      "0.312029706",
      "0.129201448"
    ],
    [
      "0.088246231",
      "0.129201449"
    ],
    [
      "0.200137969",
      "0.129201449"
    ],
    [
      "0.759578231",
      "0.129233338"
    ],
    [
      "0.911753769",
      "0.143331895"
    ],
    [
      "0.819096395",
      "0.154919403"
    ],
    [
      "0.591762452",
      "0.161495922"
    ],
    [
      "0.479867314",
      "0.161501809"
    ],
    [
      "0.032300362",
      "0.161501811"
    ],
    [
      "0.144192100",
      "0.161501811"
    ],
    [
      "0.256083837",
      "0.161501812"
    ],
    [
      "0.367975575",
      "0.161501810"
    ],
    [
      "0.703632340",
      "0.161533663"
    ],
    [
      "0.967699638",
      "0.175632257"
    ],
    [
      "0.535816580",
      "0.193796287"
    ],
    [
      "0.423921444",
      "0.193802171"
    ],
    [
      "0.088246231",
      "0.193802173"
    ],
    [
      "0.312029706",
      "0.193802173"
    ],
    [
      "0.200137968",
      "0.193802174"
    ],
    [
      "0.647686492",
      "0.193834062"
    ],
    [
      "0.759578231",
      "0.193834063"
    ],
    [
      "0.871469968",
      "0.193834063"
    ],
    [
      "0.479867313",
      "0.226102534"
    ],
    [
      "0.032300362",
      "0.226102536"
    ],
    [
      "0.256083837",
      "0.226102536"
    ],
    [
      "0.367975575",
      "0.226102535"
    ],
    [
      "0.144192099",
      "0.226102536"
    ],
    [
      "0.591740623",
      "0.226134423"
    ],
    [
      "0.703632361",
      "0.226134424"
    ],
    [
      "0.815524099",
      "0.226134426"
    ],
    [
      "0.927415837",
      "0.226134426"
    ],
    [
      "0.423921444",
      "0.258402896"
    ],
    [
      "0.312029706",
      "0.258402898"
    ],
    [
      "0.200137968",
      "0.258402899"
    ],
    [
      "0.088246230",
      "0.258402899"
    ],
    [
      "0.647686493",
      "0.258434787"
    ],
    [
      "0.759578229",
      "0.258434787"
    ],
    [
      "0.871469968",
      "0.258434788"
    ],
    [
      "0.535794756",
      "0.258434789"
    ],
    [
      "0.967699638",
      "0.276636594"
    ],
    [
      "0.256083837",
      "0.290703261"
    ],
    [
      "0.367975575",
      "0.290703260"
    ],
    [
      "0.144192099",
      "0.290703261"
    ],
    [
      "0.032300362",
      "0.290703262"
    ],
    [
      "0.703632362",
      "0.290735151"
    ],
    [
      "0.815524099",
      "0.290735150"
    ],
    [
      "0.479848887",
      "0.290735151"
    ],
    [
      "0.591740625",
      "0.290735151"
    ],
    [
      "0.911753769",
      "0.308936956"
    ],
    [
      "0.312029706",
      "0.323003623"
    ],
    [
      "0.200137968",
      "0.323003624"
    ],
    [
      "0.088246231",
      "0.323003624"
    ],
    [
      "0.759578231",
      "0.323035513"
    ],
    [
      "0.535794756",
      "0.323035513"
    ],
    [
      "0.647686494",
      "0.323035514"
    ],
    [
      "0.423903019",
      "0.323035514"
    ],
    [
      "0.855807900",
      "0.341237318"
    ],
    [
      "0.967699638",
      "0.341237318"
    ],
    [
      "0.256083837",
      "0.355303985"
    ],
    [
      "0.032300362",
      "0.355303987"
    ],
    [
      "0.144192100",
      "0.355303987"
    ],
    [
      "0.367957150",
      "0.355335876"
    ],
    [
      "0.479848888",
      "0.355335876"
    ],
    [
      "0.591740625",
      "0.355335876"
    ],
    [
      "0.703632363",
      "0.355335876"
    ],
    [
      "0.799862032",
      "0.373537681"
    ],
    [
      "0.911753769",
      "0.373537681"
    ],
    [
      "0.088246231",
      "0.387604348"
    ],
    [
      "0.200137969",
      "0.387604350"
    ],
    [
      "0.312011281",
      "0.387636238"
    ],
    [
      "0.423903019",
      "0.387636238"
    ],
    [
      "0.535794756",
      "0.387636239"
    ],
    [
      "0.647686494",
      "0.387636238"
    ],
    [
      "0.855807900",
      "0.405838044"
    ],
    [
      "0.967699638",
      "0.405838043"
    ],
    [
      "0.743916164",
      "0.405838044"
    ],
    [
      "0.032300362",
      "0.419904711"
    ],
    [
      "0.144192099",
      "0.419904711"
    ],
    [
      "0.367957150",
      "0.419936600"
    ],
    [
      "0.479848888",
      "0.419936602"
    ],
    [
      "0.591740625",
      "0.419936600"
    ],
    [
      "0.256065414",
      "0.419936602"
    ],
    [
      "0.911753769",
      "0.438138405"
    ],
    [
      "0.687970295",
      "0.438138406"
    ],
    [
      "0.799862032",
      "0.438138407"
    ],
    [
      "0.088246231",
      "0.452205074"
    ],
    [
      "0.423903019",
      "0.452236963"
    ],
    [
      "0.535794757",
      "0.452236963"
    ],
    [
      "0.200119544",
      "0.452236963"
    ],
    [
      "0.312011283",
      "0.452236964"
    ],
    [
      "0.967699638",
      "0.470438768"
    ],
    [
      "0.632024426",
      "0.470438768"
    ],
    [
      "0.743916163",
      "0.470438769"
    ],
    [
      "0.855807901",
      "0.470438769"
    ],
    [
      "0.032300362",
      "0.484505436"
    ],
    [
      "0.479848888",
      "0.484537326"
    ],
    [
      "0.144173676",
      "0.484537326"
    ],
    [
      "0.367957151",
      "0.484537327"
    ],
    [
      "0.256065414",
      "0.484537326"
    ],
    [
      "0.576078558",
      "0.502739131"
    ],
    [
      "0.687970294",
      "0.502739131"
    ],
    [
      "0.799862032",
      "0.502739131"
    ],
    [
      "0.911753770",
      "0.502739131"
    ],
    [
      "0.088227807",
      "0.516837688"
    ],
    [
      "0.200119545",
      "0.516837689"
    ],
    [
      "0.312011282",
      "0.516837689"
    ],
    [
      "0.423903020",
      "0.516837689"
    ],
    [
      "0.520132688",
      "0.535039495"
    ],
    [
      "0.632024426",
      "0.535039494"
    ],
    [
      "0.743916164",
      "0.535039494"
    ],
    [
      "0.855807901",
      "0.535039493"
    ],
    [
      "0.967699638",
      "0.535039494"
    ],
    [
      "0.144173676",
      "0.549138050"
    ],
    [
      "0.256065414",
      "0.549138052"
    ],
    [
      "0.367957151",
      "0.549138052"
    ],
    [
      "0.032300362",
      "0.549169940"
    ],
    [
      "0.576078557",
      "0.567339856"
    ],
    [
      "0.687970295",
      "0.567339856"
    ],
    [
      "0.799862033",
      "0.567339856"
    ],
    [
      "0.911753769",
      "0.567339856"
    ],
    [
      "0.464186816",
      "0.567339862"
    ],
    [
      "0.200119544",
      "0.581438413"
    ],
    [
      "0.088246231",
      "0.581470303"
    ],
    [
      "0.314484957",
      "0.586085746"
    ],
    [
      "0.520132687",
      "0.599640219"
    ],
    [
      "0.632024426",
      "0.599640218"
    ],
    [
      "0.743916164",
      "0.599640218"
    ],
    [
      "0.855807901",
      "0.599640219"
    ],
    [
      "0.967699638",
      "0.599640218"
    ],
    [
      "0.408240947",
      "0.599640225"
    ],
    [
      "0.256101727",
      "0.613738766"
    ],
    [
      "0.032300362",
      "0.613770665"
    ],
    [
      "0.144192100",
      "0.613770666"
    ],
    [
      "0.576078557",
      "0.631940580"
    ],
    [
      "0.687970295",
      "0.631940580"
    ],
    [
      "0.799862032",
      "0.631940581"
    ],
    [
      "0.911753770",
      "0.631940581"
    ],
    [
      "0.464186817",
      "0.631940586"
    ],
    [
      "0.361944677",
      "0.644694736"
    ],
    [
      "0.200156116",
      "0.646039575"
    ],
    [
      "0.088246231",
      "0.646071027"
    ],
    [
      "0.299574432",
      "0.661523466"
    ],
    [
      "0.520132689",
      "0.664240943"
    ],
    [
      "0.632024426",
      "0.664240942"
    ],
    [
      "0.743916163",
      "0.664240943"
    ],
    [
      "0.855807901",
      "0.664240943"
    ],
    [
      "0.967699638",
      "0.664240944"
    ],
    [
      "0.417890546",
      "0.676995098"
    ],
    [
      "0.032300362",
      "0.678371390"
    ],
    [
      "0.144192100",
      "0.678371390"
    ],
    [
      "0.243628821",
      "0.693824275"
    ],
    [
      "0.576078558",
      "0.696541305"
    ],
    [
      "0.687970295",
      "0.696541306"
    ],
    [
      "0.799862032",
      "0.696541305"
    ],
    [
      "0.911753769",
      "0.696541306"
    ],
    [
      "0.361944935",
      "0.709295906"
    ],
    [
      "0.473837668",
      "0.709296738"
    ],
    [
      "0.088246231",
      "0.710671752"
    ],
    [
      "0.299574690",
      "0.726124637"
    ],
    [
      "0.187688605",
      "0.726134426"
    ],
    [
      "0.632024426",
      "0.728841668"
    ],
    [
      "0.743916163",
      "0.728841669"
    ],
    [
      "0.855807900",
      "0.728841668"
    ],
    [
      "0.967699638",
      "0.728841669"
    ],
    [
      "0.417891062",
      "0.741595822"
    ],
    [
      "0.529783537",
      "0.741597100"
    ],
    [
      "0.032300362",
      "0.742972115"
    ],
    [
      "0.243634474",
      "0.758434788"
    ],
    [
      "0.131742736",
      "0.758434789"
    ],
    [
      "0.687970294",
      "0.761142031"
    ],
    [
      "0.799862032",
      "0.761142031"
    ],
    [
      "0.911753769",
      "0.761142030"
    ],
    [
      "0.473837668",
      "0.773897463"
    ],
    [
      "0.585729405",
      "0.773897463"
    ],
    [
      "0.361945970",
      "0.773897531"
    ],
    [
      "0.075796867",
      "0.790735151"
    ],
    [
      "0.187688605",
      "0.790735151"
    ],
    [
      "0.299578831",
      "0.790737768"
    ],
    [
      "0.743916163",
      "0.793442393"
    ],
    [
      "0.855807901",
      "0.793442393"
    ],
    [
      "0.967699638",
      "0.793442393"
    ],
    [
      "0.529783536",
      "0.806197826"
    ],
    [
      "0.641675273",
      "0.806197826"
    ],
    [
      "0.417891839",
      "0.806197894"
    ],
    [
      "0.131742736",
      "0.823035514"
    ],
    [
      "0.243839287",
      "0.823392888"
    ],
    [
      "0.799862032",
      "0.825742756"
    ],
    [
      "0.911753769",
      "0.825742756"
    ],
    [
      "0.032300362",
      "0.838498188"
    ],
    [
      "0.585729405",
      "0.838498189"
    ],
    [
      "0.697621142",
      "0.838498187"
    ],
    [
      "0.473837707",
      "0.838498257"
    ],
    [
      "0.361993127",
      "0.838579796"
    ],
    [
      "0.187688604",
      "0.855335877"
    ],
    [
      "0.299727749",
      "0.855792477"
    ],
    [
      "0.855807900",
      "0.858043119"
    ],
    [
      "0.967699638",
      "0.858043118"
    ],
    [
      "0.088246231",
      "0.870798551"
    ],
    [
      "0.641675274",
      "0.870798551"
    ],
    [
      "0.753567011",
      "0.870798551"
    ],
    [
      "0.529783576",
      "0.870798619"
    ],
    [
      "0.417938995",
      "0.870880159"
    ],
    [
      "0.243724650",
      "0.887993511"
    ],
    [
      "0.911753769",
      "0.890343480"
    ],
    [
      "0.032300362",
      "0.903098913"
    ],
    [
      "0.144192100",
      "0.903098914"
    ],
    [
      "0.697621142",
      "0.903098914"
    ],
    [
      "0.809512879",
      "0.903098914"
    ],
    [
      "0.585729445",
      "0.903098982"
    ],
    [
      "0.473884864",
      "0.903180521"
    ],
    [
      "0.363686859",
      "0.905950936"
    ],
    [
      "0.300719452",
      "0.920385590"
    ],
    [
      "0.967699638",
      "0.922643842"
    ],
    [
      "0.088246231",
      "0.935399275"
    ],
    [
      "0.865458748",
      "0.935399275"
    ],
    [
      "0.753566972",
      "0.935399342"
    ],
    [
      "0.641628224",
      "0.935480769"
    ],
    [
      "0.200463535",
      "0.935969855"
    ],
    [
      "0.528136999",
      "0.938251299"
    ],
    [
      "0.407671340",
      "0.953264984"
    ],
    [
      "0.032300362",
      "0.967699638"
    ],
    [
      "0.144192099",
      "0.967699638"
    ],
    [
      "0.256734971",
      "0.967699638"
    ],
    [
      "0.344703932",
      "0.967699638"
    ],
    [
      "0.470638747",
      "0.967699638"
    ],
    [
      "0.585635251",
      "0.967699638"
    ],
    [
      "0.697621064",
      "0.967699638"
    ],
    [
      "0.809512880",
      "0.967699638"
    ],
    [
      "0.921404617",
      "0.967699638"
    ]
  ],
  "radius": "0.032300362"
}

Submit radius and centers. Write every number as a decimal string, for example "0.25". · 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.

啊？？！NUE_13#310 replies空悲切/.lird#282 replies