P02 · 装箱与覆盖 · 经典问题 · 基线易突破 · 难

单位圆内的等圆装箱 · n = 204

文献中也称circles in a circlepacking equal circles in a circlecci

在半径 1 的圆内放置 n 个半径相同、互不重叠的小圆,使共同半径尽可能大。

子题n = 204
目标最大化 共同半径

纪录对比

共同半径 · 越大越好
纪录数值 / 区间作者 / 持有人来源
外部已知最好[0.0639284652347672906332216877595, 0.0639284652347672906332216877605]见来源署名packomania.com ↗
本站纪录暂无选手纪录——

严格定义

  • 容器半径 1 的圆,圆心在 (1, 1),两个坐标都在 0 到 2 之间
  • 提交恰好 n 个圆:一个共同半径 radius 与 n 个圆心 centers
  • 约束每个圆完整落在容器内;两两内部不重叠,相切允许
  • 目标让共同半径尽可能大
挑战这个纪录 ↗

当前展示:起步布局

2y0
0x2
已验证构造r = 0.063928464

帮助理解

哪里有优化空间

最优构形是「卡死」的接触结构:圆彼此顶住、顶住边界,常出现斜排、错位、以及不碰任何邻居的游离圆。规整的网格摆法几乎从不最优。

前沿在哪里

n = 1..14 与 19 已证明;其余规模的最优性仍未知。本站接入 Packomania 中 n = 1..300 的公开构型,大规模部分集中成一张表供算法批量挑战。

查看来源
单位圆内的等圆装箱 n = 204 的当前构型
构型与历史

起步布局

查看构型、求解笔记与纪录历史。

挑战这个纪录 ↗提交证明 / 思路 ↓在讨论区分享证明或思路,审核采纳后可获得证明分。
ANSWER FORMAT

答案怎么写

容器是半径 1 的圆,圆心在 (1, 1),所以两个坐标都在 0 到 2 之间。坐标和半径用同一个单位,直接写成小数,例如 "0.5",最多九位小数。

提交 radius 与 centers。每个数写成十进制字符串,例如 "0.2"。

起步布局答案

{
  "centers": [
    [
      "1.334225779",
      "0.911963803"
    ],
    [
      "1.442563619",
      "1.82484384"
    ],
    [
      "1.562305031",
      "0.251639813"
    ],
    [
      "1.304284394",
      "0.658008901"
    ],
    [
      "0.202527027",
      "0.792861102"
    ],
    [
      "1.157004363",
      "1.319066462"
    ],
    [
      "0.952043659",
      "1.471973913"
    ],
    [
      "0.965703341",
      "0.064556973"
    ],
    [
      "1.200254583",
      "1.854501775"
    ],
    [
      "0.52703916",
      "0.685275177"
    ],
    [
      "1.156472129",
      "0.200172752"
    ],
    [
      "1.039553318",
      "1.268542737"
    ],
    [
      "0.109060972",
      "1.075593694"
    ],
    [
      "1.874819207",
      "0.666951546"
    ],
    [
      "1.026784723",
      "1.14132498"
    ],
    [
      "0.717029171",
      "0.405390275"
    ],
    [
      "0.584719833",
      "1.193425286"
    ],
    [
      "1.524951884",
      "0.630366095"
    ],
    [
      "1.156891964",
      "0.353530274"
    ],
    [
      "0.334875238",
      "0.965334911"
    ],
    [
      "1.662987192",
      "1.660816087"
    ],
    [
      "1.216774734",
      "0.861440078"
    ],
    [
      "1.274455407",
      "1.369590187"
    ],
    [
      "1.481618208",
      "1.21644243"
    ],
    [
      "1.752407034",
      "0.443121581"
    ],
    [
      "1.821274177",
      "0.550846747"
    ],
    [
      "0.491605244",
      "1.397420747"
    ],
    [
      "1.804041073",
      "1.114057394"
    ],
    [
      "0.08583433",
      "1.201323236"
    ],
    [
      "0.385497886",
      "1.541272684"
    ],
    [
      "1.171975055",
      "1.446043913"
    ],
    [
      "0.803838778",
      "0.201011457"
    ],
    [
      "1.761259127",
      "1.437263967"
    ],
    [
      "1.625493389",
      "0.458623882"
    ],
    [
      "0.249407207",
      "1.316092173"
    ],
    [
      "0.967014352",
      "1.598951364"
    ],
    [
      "0.996843338",
      "0.887370078"
    ],
    [
      "1.694360531",
      "0.566349048"
    ],
    [
      "0.879392293",
      "0.836846353"
    ],
    [
      "1.054411612",
      "0.429984"
    ],
    [
      "0.819985213",
      "0.327844762"
    ],
    [
      "1.560360799",
      "1.746708035"
    ],
    [
      "1.114294382",
      "0.937893803"
    ],
    [
      "0.849450908",
      "0.582891451"
    ],
    [
      "1.58409856",
      "1.139988705"
    ],
    [
      "1.349196471",
      "1.038941254"
    ],
    [
      "0.71714157",
      "1.370926462"
    ],
    [
      "0.512068467",
      "0.558297726"
    ],
    [
      "1.542618327",
      "1.617703085"
    ],
    [
      "0.894489149",
      "1.930106111"
    ],
    [
      "1.701549605",
      "1.19051243"
    ],
    [
      "1.098939782",
      "1.776510072"
    ],
    [
      "0.702170877",
      "1.243949011"
    ],
    [
      "1.029143197",
      "0.175564987"
    ],
    [
      "1.93532069",
      "1.037484989"
    ],
    [
      "0.301941952",
      "1.444495618"
    ],
    [
      "1.325781878",
      "1.749600921"
    ],
    [
      "1.319255086",
      "0.784986352"
    ],
    [
      "0.613113802",
      "0.186574584"
    ],
    [
      "0.732112263",
      "1.497903913"
    ],
    [
      "0.746970556",
      "0.659345176"
    ],
    [
      "1.327873868",
      "0.169118538"
    ],
    [
      "0.422893279",
      "0.759444107"
    ],
    [
      "0.663674457",
      "1.834174087"
    ],
    [
      "1.746852046",
      "1.564306601"
    ],
    [
      "0.791882634",
      "1.040277529"
    ],
    [
      "1.554157175",
      "0.886033803"
    ],
    [
      "0.599690526",
      "1.320402737"
    ],
    [
      "0.304379244",
      "0.711465762"
    ],
    [
      "1.084465396",
      "1.649475089"
    ],
    [
      "0.714409752",
      "0.108558399"
    ],
    [
      "0.519904497",
      "1.651421422"
    ],
    [
      "1.01181403",
      "1.014347529"
    ],
    [
      "1.663782179",
      "0.808940336"
    ],
    [
      "0.439529501",
      "0.888706353"
    ],
    [
      "0.849563307",
      "1.548427638"
    ],
    [
      "0.819621922",
      "1.294472737"
    ],
    [
      "1.42092656",
      "1.570931326"
    ],
    [
      "0.614548819",
      "0.481844"
    ],
    [
      "0.112657818",
      "0.701916503"
    ],
    [
      "1.789059264",
      "0.987081254"
    ],
    [
      "0.838550504",
      "0.077956629"
    ],
    [
      "0.937072966",
      "1.344996462"
    ],
    [
      "1.097771249",
      "1.930951503"
    ],
    [
      "1.304396792",
      "1.623545089"
    ],
    [
      "0.981488737",
      "1.725986347"
    ],
    [
      "1.783496193",
      "0.854102333"
    ],
    [
      "0.761941249",
      "0.786322627"
    ],
    [
      "0.407922587",
      "0.632466656"
    ],
    [
      "0.966901953",
      "0.633415176"
    ],
    [
      "1.186833349",
      "0.607485176"
    ],
    [
      "0.776911942",
      "0.913300078"
    ],
    [
      "0.64022961",
      "1.708438161"
    ],
    [
      "1.261686812",
      "1.24237243"
    ],
    [
      "1.364167164",
      "1.165918705"
    ],
    [
      "1.659038703",
      "0.335245981"
    ],
    [
      "0.864037693",
      "1.675462621"
    ],
    [
      "1.400755974",
      "0.423215337"
    ],
    [
      "0.894362986",
      "0.963823804"
    ],
    [
      "0.922102274",
      "1.218019011"
    ],
    [
      "0.174142304",
      "1.440668791"
    ],
    [
      "0.864421601",
      "0.709868902"
    ],
    [
      "1.205276599",
      "1.704318263"
    ],
    [
      "0.761557341",
      "1.751916347"
    ],
    [
      "1.201804042",
      "0.734462627"
    ],
    [
      "1.686578912",
      "1.063534979"
    ],
    [
      "0.467198074",
      "1.142909884"
    ],
    [
      "1.100263021",
      "0.069313563"
    ],
    [
      "1.455080708",
      "0.181995436"
    ],
    [
      "1.895358927",
      "0.916033549"
    ],
    [
      "1.761957653",
      "0.727032027"
    ],
    [
      "1.246716119",
      "1.11539498"
    ],
    [
      "0.349775136",
      "1.092320689"
    ],
    [
      "0.562333264",
      "0.32054398"
    ],
    [
      "0.981872645",
      "0.760392627"
    ],
    [
      "1.421735438",
      "0.708532627"
    ],
    [
      "0.372085053",
      "0.481920048"
    ],
    [
      "0.079759158",
      "0.828574474"
    ],
    [
      "1.599069253",
      "1.266966156"
    ],
    [
      "0.226094629",
      "0.473406803"
    ],
    [
      "1.2894261",
      "1.496567638"
    ],
    [
      "0.936960568",
      "0.379460274"
    ],
    [
      "1.274343008",
      "0.404054"
    ],
    [
      "0.211302971",
      "1.175793586"
    ],
    [
      "1.406764745",
      "0.581555176"
    ],
    [
      "0.332622216",
      "1.219021802"
    ],
    [
      "0.909333679",
      "1.090801254"
    ],
    [
      "1.614039945",
      "1.393943606"
    ],
    [
      "1.539186482",
      "0.759056352"
    ],
    [
      "1.171862656",
      "0.480507725"
    ],
    [
      "1.912043162",
      "0.789269868"
    ],
    [
      "0.702071131",
      "0.278411333"
    ],
    [
      "0.542009853",
      "0.812252627"
    ],
    [
      "0.430868214",
      "1.743181625"
    ],
    [
      "1.626483181",
      "1.521193599"
    ],
    [
      "0.731999864",
      "0.532367726"
    ],
    [
      "0.232352277",
      "1.041731491"
    ],
    [
      "0.834480216",
      "0.455914"
    ],
    [
      "1.084352997",
      "0.683938902"
    ],
    [
      "0.923324819",
      "0.247761397"
    ],
    [
      "0.556980545",
      "0.939230078"
    ],
    [
      "0.488671355",
      "0.215925428"
    ],
    [
      "0.334903906",
      "1.658693482"
    ],
    [
      "0.687200185",
      "1.11697156"
    ],
    [
      "0.629519512",
      "0.608821451"
    ],
    [
      "1.819000649",
      "1.241036155"
    ],
    [
      "1.394342359",
      "0.294795658"
    ],
    [
      "1.442311645",
      "1.696987158"
    ],
    [
      "1.67160822",
      "0.936557528"
    ],
    [
      "1.436706131",
      "0.835510078"
    ],
    [
      "0.834592615",
      "1.421450188"
    ],
    [
      "0.768727877",
      "1.907051886"
    ],
    [
      "1.466647516",
      "1.089464979"
    ],
    [
      "1.517665525",
      "0.371450952"
    ],
    [
      "1.326033852",
      "1.877457603"
    ],
    [
      "0.482239481",
      "1.269879012"
    ],
    [
      "1.226152326",
      "0.09165808"
    ],
    [
      "1.054524011",
      "1.395520187"
    ],
    [
      "0.497097775",
      "0.431320275"
    ],
    [
      "0.644490205",
      "0.735798902"
    ],
    [
      "0.375080118",
      "1.339623299"
    ],
    [
      "1.504040021",
      "0.498579786"
    ],
    [
      "0.512155235",
      "1.523799544"
    ],
    [
      "0.452298096",
      "1.01592411"
    ],
    [
      "0.626553654",
      "1.580899425"
    ],
    [
      "0.614661218",
      "1.447380188"
    ],
    [
      "0.190262208",
      "0.920451497"
    ],
    [
      "0.56974914",
      "1.066447835"
    ],
    [
      "0.322106642",
      "0.838117155"
    ],
    [
      "1.186945748",
      "1.573021364"
    ],
    [
      "1.289313701",
      "0.53103145"
    ],
    [
      "0.746586648",
      "1.624938896"
    ],
    [
      "0.251347972",
      "1.561916416"
    ],
    [
      "1.231745427",
      "0.988417529"
    ],
    [
      "1.569127868",
      "1.013011254"
    ],
    [
      "0.121796207",
      "1.324018542"
    ],
    [
      "1.379137856",
      "1.292896156"
    ],
    [
      "0.424155538",
      "0.326311586"
    ],
    [
      "1.495838055",
      "1.345143442"
    ],
    [
      "0.95193126",
      "0.506437725"
    ],
    [
      "1.863739479",
      "1.360810242"
    ],
    [
      "1.716520297",
      "1.317489881"
    ],
    [
      "0.28940997",
      "0.584485884"
    ],
    [
      "1.129265075",
      "1.064871254"
    ],
    [
      "0.804651229",
      "1.167495286"
    ],
    [
      "1.506802107",
      "1.476206541"
    ],
    [
      "0.30507264",
      "0.372858961"
    ],
    [
      "0.878664434",
      "1.803232264"
    ],
    [
      "1.144235768",
      "1.191848705"
    ],
    [
      "1.921487702",
      "1.164591413"
    ],
    [
      "1.069382305",
      "0.556961451"
    ],
    [
      "0.537450536",
      "1.813804591"
    ],
    [
      "0.064983254",
      "0.955574739"
    ],
    [
      "1.069494703",
      "1.522497638"
    ],
    [
      "0.996452766",
      "1.852964583"
    ],
    [
      "1.09932369",
      "0.810916352"
    ],
    [
      "1.259372316",
      "0.277076549"
    ],
    [
      "1.039440919",
      "0.303006549"
    ],
    [
      "0.161554994",
      "0.583779037"
    ],
    [
      "0.659460897",
      "0.862776353"
    ],
    [
      "1.64193524",
      "0.682963727"
    ],
    [
      "1.451676823",
      "0.962487528"
    ],
    [
      "1.391906452",
      "1.420113913"
    ],
    [
      "0.67443159",
      "0.989753804"
    ]
  ],
  "radius": "0.063928464"
}
提交格式与技术细节需要编写程序或准备 JSON 答案时再查看+

子题参数

{
  "n": 204
}

起步布局答案

{
  "centers": [
    [
      "1.334225779",
      "0.911963803"
    ],
    [
      "1.442563619",
      "1.82484384"
    ],
    [
      "1.562305031",
      "0.251639813"
    ],
    [
      "1.304284394",
      "0.658008901"
    ],
    [
      "0.202527027",
      "0.792861102"
    ],
    [
      "1.157004363",
      "1.319066462"
    ],
    [
      "0.952043659",
      "1.471973913"
    ],
    [
      "0.965703341",
      "0.064556973"
    ],
    [
      "1.200254583",
      "1.854501775"
    ],
    [
      "0.52703916",
      "0.685275177"
    ],
    [
      "1.156472129",
      "0.200172752"
    ],
    [
      "1.039553318",
      "1.268542737"
    ],
    [
      "0.109060972",
      "1.075593694"
    ],
    [
      "1.874819207",
      "0.666951546"
    ],
    [
      "1.026784723",
      "1.14132498"
    ],
    [
      "0.717029171",
      "0.405390275"
    ],
    [
      "0.584719833",
      "1.193425286"
    ],
    [
      "1.524951884",
      "0.630366095"
    ],
    [
      "1.156891964",
      "0.353530274"
    ],
    [
      "0.334875238",
      "0.965334911"
    ],
    [
      "1.662987192",
      "1.660816087"
    ],
    [
      "1.216774734",
      "0.861440078"
    ],
    [
      "1.274455407",
      "1.369590187"
    ],
    [
      "1.481618208",
      "1.21644243"
    ],
    [
      "1.752407034",
      "0.443121581"
    ],
    [
      "1.821274177",
      "0.550846747"
    ],
    [
      "0.491605244",
      "1.397420747"
    ],
    [
      "1.804041073",
      "1.114057394"
    ],
    [
      "0.08583433",
      "1.201323236"
    ],
    [
      "0.385497886",
      "1.541272684"
    ],
    [
      "1.171975055",
      "1.446043913"
    ],
    [
      "0.803838778",
      "0.201011457"
    ],
    [
      "1.761259127",
      "1.437263967"
    ],
    [
      "1.625493389",
      "0.458623882"
    ],
    [
      "0.249407207",
      "1.316092173"
    ],
    [
      "0.967014352",
      "1.598951364"
    ],
    [
      "0.996843338",
      "0.887370078"
    ],
    [
      "1.694360531",
      "0.566349048"
    ],
    [
      "0.879392293",
      "0.836846353"
    ],
    [
      "1.054411612",
      "0.429984"
    ],
    [
      "0.819985213",
      "0.327844762"
    ],
    [
      "1.560360799",
      "1.746708035"
    ],
    [
      "1.114294382",
      "0.937893803"
    ],
    [
      "0.849450908",
      "0.582891451"
    ],
    [
      "1.58409856",
      "1.139988705"
    ],
    [
      "1.349196471",
      "1.038941254"
    ],
    [
      "0.71714157",
      "1.370926462"
    ],
    [
      "0.512068467",
      "0.558297726"
    ],
    [
      "1.542618327",
      "1.617703085"
    ],
    [
      "0.894489149",
      "1.930106111"
    ],
    [
      "1.701549605",
      "1.19051243"
    ],
    [
      "1.098939782",
      "1.776510072"
    ],
    [
      "0.702170877",
      "1.243949011"
    ],
    [
      "1.029143197",
      "0.175564987"
    ],
    [
      "1.93532069",
      "1.037484989"
    ],
    [
      "0.301941952",
      "1.444495618"
    ],
    [
      "1.325781878",
      "1.749600921"
    ],
    [
      "1.319255086",
      "0.784986352"
    ],
    [
      "0.613113802",
      "0.186574584"
    ],
    [
      "0.732112263",
      "1.497903913"
    ],
    [
      "0.746970556",
      "0.659345176"
    ],
    [
      "1.327873868",
      "0.169118538"
    ],
    [
      "0.422893279",
      "0.759444107"
    ],
    [
      "0.663674457",
      "1.834174087"
    ],
    [
      "1.746852046",
      "1.564306601"
    ],
    [
      "0.791882634",
      "1.040277529"
    ],
    [
      "1.554157175",
      "0.886033803"
    ],
    [
      "0.599690526",
      "1.320402737"
    ],
    [
      "0.304379244",
      "0.711465762"
    ],
    [
      "1.084465396",
      "1.649475089"
    ],
    [
      "0.714409752",
      "0.108558399"
    ],
    [
      "0.519904497",
      "1.651421422"
    ],
    [
      "1.01181403",
      "1.014347529"
    ],
    [
      "1.663782179",
      "0.808940336"
    ],
    [
      "0.439529501",
      "0.888706353"
    ],
    [
      "0.849563307",
      "1.548427638"
    ],
    [
      "0.819621922",
      "1.294472737"
    ],
    [
      "1.42092656",
      "1.570931326"
    ],
    [
      "0.614548819",
      "0.481844"
    ],
    [
      "0.112657818",
      "0.701916503"
    ],
    [
      "1.789059264",
      "0.987081254"
    ],
    [
      "0.838550504",
      "0.077956629"
    ],
    [
      "0.937072966",
      "1.344996462"
    ],
    [
      "1.097771249",
      "1.930951503"
    ],
    [
      "1.304396792",
      "1.623545089"
    ],
    [
      "0.981488737",
      "1.725986347"
    ],
    [
      "1.783496193",
      "0.854102333"
    ],
    [
      "0.761941249",
      "0.786322627"
    ],
    [
      "0.407922587",
      "0.632466656"
    ],
    [
      "0.966901953",
      "0.633415176"
    ],
    [
      "1.186833349",
      "0.607485176"
    ],
    [
      "0.776911942",
      "0.913300078"
    ],
    [
      "0.64022961",
      "1.708438161"
    ],
    [
      "1.261686812",
      "1.24237243"
    ],
    [
      "1.364167164",
      "1.165918705"
    ],
    [
      "1.659038703",
      "0.335245981"
    ],
    [
      "0.864037693",
      "1.675462621"
    ],
    [
      "1.400755974",
      "0.423215337"
    ],
    [
      "0.894362986",
      "0.963823804"
    ],
    [
      "0.922102274",
      "1.218019011"
    ],
    [
      "0.174142304",
      "1.440668791"
    ],
    [
      "0.864421601",
      "0.709868902"
    ],
    [
      "1.205276599",
      "1.704318263"
    ],
    [
      "0.761557341",
      "1.751916347"
    ],
    [
      "1.201804042",
      "0.734462627"
    ],
    [
      "1.686578912",
      "1.063534979"
    ],
    [
      "0.467198074",
      "1.142909884"
    ],
    [
      "1.100263021",
      "0.069313563"
    ],
    [
      "1.455080708",
      "0.181995436"
    ],
    [
      "1.895358927",
      "0.916033549"
    ],
    [
      "1.761957653",
      "0.727032027"
    ],
    [
      "1.246716119",
      "1.11539498"
    ],
    [
      "0.349775136",
      "1.092320689"
    ],
    [
      "0.562333264",
      "0.32054398"
    ],
    [
      "0.981872645",
      "0.760392627"
    ],
    [
      "1.421735438",
      "0.708532627"
    ],
    [
      "0.372085053",
      "0.481920048"
    ],
    [
      "0.079759158",
      "0.828574474"
    ],
    [
      "1.599069253",
      "1.266966156"
    ],
    [
      "0.226094629",
      "0.473406803"
    ],
    [
      "1.2894261",
      "1.496567638"
    ],
    [
      "0.936960568",
      "0.379460274"
    ],
    [
      "1.274343008",
      "0.404054"
    ],
    [
      "0.211302971",
      "1.175793586"
    ],
    [
      "1.406764745",
      "0.581555176"
    ],
    [
      "0.332622216",
      "1.219021802"
    ],
    [
      "0.909333679",
      "1.090801254"
    ],
    [
      "1.614039945",
      "1.393943606"
    ],
    [
      "1.539186482",
      "0.759056352"
    ],
    [
      "1.171862656",
      "0.480507725"
    ],
    [
      "1.912043162",
      "0.789269868"
    ],
    [
      "0.702071131",
      "0.278411333"
    ],
    [
      "0.542009853",
      "0.812252627"
    ],
    [
      "0.430868214",
      "1.743181625"
    ],
    [
      "1.626483181",
      "1.521193599"
    ],
    [
      "0.731999864",
      "0.532367726"
    ],
    [
      "0.232352277",
      "1.041731491"
    ],
    [
      "0.834480216",
      "0.455914"
    ],
    [
      "1.084352997",
      "0.683938902"
    ],
    [
      "0.923324819",
      "0.247761397"
    ],
    [
      "0.556980545",
      "0.939230078"
    ],
    [
      "0.488671355",
      "0.215925428"
    ],
    [
      "0.334903906",
      "1.658693482"
    ],
    [
      "0.687200185",
      "1.11697156"
    ],
    [
      "0.629519512",
      "0.608821451"
    ],
    [
      "1.819000649",
      "1.241036155"
    ],
    [
      "1.394342359",
      "0.294795658"
    ],
    [
      "1.442311645",
      "1.696987158"
    ],
    [
      "1.67160822",
      "0.936557528"
    ],
    [
      "1.436706131",
      "0.835510078"
    ],
    [
      "0.834592615",
      "1.421450188"
    ],
    [
      "0.768727877",
      "1.907051886"
    ],
    [
      "1.466647516",
      "1.089464979"
    ],
    [
      "1.517665525",
      "0.371450952"
    ],
    [
      "1.326033852",
      "1.877457603"
    ],
    [
      "0.482239481",
      "1.269879012"
    ],
    [
      "1.226152326",
      "0.09165808"
    ],
    [
      "1.054524011",
      "1.395520187"
    ],
    [
      "0.497097775",
      "0.431320275"
    ],
    [
      "0.644490205",
      "0.735798902"
    ],
    [
      "0.375080118",
      "1.339623299"
    ],
    [
      "1.504040021",
      "0.498579786"
    ],
    [
      "0.512155235",
      "1.523799544"
    ],
    [
      "0.452298096",
      "1.01592411"
    ],
    [
      "0.626553654",
      "1.580899425"
    ],
    [
      "0.614661218",
      "1.447380188"
    ],
    [
      "0.190262208",
      "0.920451497"
    ],
    [
      "0.56974914",
      "1.066447835"
    ],
    [
      "0.322106642",
      "0.838117155"
    ],
    [
      "1.186945748",
      "1.573021364"
    ],
    [
      "1.289313701",
      "0.53103145"
    ],
    [
      "0.746586648",
      "1.624938896"
    ],
    [
      "0.251347972",
      "1.561916416"
    ],
    [
      "1.231745427",
      "0.988417529"
    ],
    [
      "1.569127868",
      "1.013011254"
    ],
    [
      "0.121796207",
      "1.324018542"
    ],
    [
      "1.379137856",
      "1.292896156"
    ],
    [
      "0.424155538",
      "0.326311586"
    ],
    [
      "1.495838055",
      "1.345143442"
    ],
    [
      "0.95193126",
      "0.506437725"
    ],
    [
      "1.863739479",
      "1.360810242"
    ],
    [
      "1.716520297",
      "1.317489881"
    ],
    [
      "0.28940997",
      "0.584485884"
    ],
    [
      "1.129265075",
      "1.064871254"
    ],
    [
      "0.804651229",
      "1.167495286"
    ],
    [
      "1.506802107",
      "1.476206541"
    ],
    [
      "0.30507264",
      "0.372858961"
    ],
    [
      "0.878664434",
      "1.803232264"
    ],
    [
      "1.144235768",
      "1.191848705"
    ],
    [
      "1.921487702",
      "1.164591413"
    ],
    [
      "1.069382305",
      "0.556961451"
    ],
    [
      "0.537450536",
      "1.813804591"
    ],
    [
      "0.064983254",
      "0.955574739"
    ],
    [
      "1.069494703",
      "1.522497638"
    ],
    [
      "0.996452766",
      "1.852964583"
    ],
    [
      "1.09932369",
      "0.810916352"
    ],
    [
      "1.259372316",
      "0.277076549"
    ],
    [
      "1.039440919",
      "0.303006549"
    ],
    [
      "0.161554994",
      "0.583779037"
    ],
    [
      "0.659460897",
      "0.862776353"
    ],
    [
      "1.64193524",
      "0.682963727"
    ],
    [
      "1.451676823",
      "0.962487528"
    ],
    [
      "1.391906452",
      "1.420113913"
    ],
    [
      "0.67443159",
      "0.989753804"
    ]
  ],
  "radius": "0.063928464"
}

提交 radius 与 centers。每个数写成十进制字符串,例如 "0.2"。 · 验证器 v1.0.0

DISCUSSION

讨论区

聊思路、贴方法、问为什么卡住。所有登录用户都可以发帖;发言公开署名,与纪录使用同一个名字,署名后的 #编号是账号注册序号,冒不了名。新发言经自动审核后公开。

还没有帖子。第一个聊聊这道题的思路?