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 = 198

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 = 198
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[0.0649776666503421403024325679245, 0.0649776666503421403024325679255]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 = 0.064977666

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 = 198 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": [
    [
      "0.845131484",
      "1.573973251"
    ],
    [
      "0.562291033",
      "0.835819026"
    ],
    [
      "1.524272138",
      "0.384500891"
    ],
    [
      "1.372335767",
      "0.571190532"
    ],
    [
      "0.182774201",
      "1.004593017"
    ],
    [
      "1.183310358",
      "1.664521405"
    ],
    [
      "0.344546984",
      "0.694012169"
    ],
    [
      "1.044633736",
      "1.849580983"
    ],
    [
      "0.59535934",
      "0.441811957"
    ],
    [
      "0.572079099",
      "0.706232829"
    ],
    [
      "0.374200518",
      "0.305275758"
    ],
    [
      "0.581867165",
      "0.576646632"
    ],
    [
      "0.747588645",
      "1.371117241"
    ],
    [
      "1.666038798",
      "1.567235043"
    ],
    [
      "0.190184609",
      "0.874849137"
    ],
    [
      "1.613942701",
      "0.47856246"
    ],
    [
      "1.412566129",
      "1.710801948"
    ],
    [
      "1.235640663",
      "0.88667931"
    ],
    [
      "0.087756725",
      "0.794868407"
    ],
    [
      "0.300388282",
      "0.949318099"
    ],
    [
      "0.806317042",
      "0.59360006"
    ],
    [
      "0.923436013",
      "0.537283676"
    ],
    [
      "0.786740909",
      "0.852772454"
    ],
    [
      "1.342971569",
      "0.959949122"
    ],
    [
      "0.318265023",
      "1.078037992"
    ],
    [
      "1.46009054",
      "0.903632738"
    ],
    [
      "0.415807862",
      "1.280894001"
    ],
    [
      "1.932984762",
      "0.938829681"
    ],
    [
      "1.529667871",
      "1.498212356"
    ],
    [
      "1.278607335",
      "1.89254956"
    ],
    [
      "1.108733626",
      "1.072581891"
    ],
    [
      "1.060221178",
      "0.221801732"
    ],
    [
      "0.067167226",
      "1.063951386"
    ],
    [
      "0.454960127",
      "0.762549214"
    ],
    [
      "0.68919807",
      "0.649916445"
    ],
    [
      "0.981826588",
      "1.258484472"
    ],
    [
      "0.884283749",
      "1.055628463"
    ],
    [
      "0.425595929",
      "1.151307804"
    ],
    [
      "0.630469673",
      "1.427433626"
    ],
    [
      "1.030766919",
      "0.610553488"
    ],
    [
      "1.079369427",
      "1.461340482"
    ],
    [
      "0.278215001",
      "1.594384706"
    ],
    [
      "1.225852597",
      "1.016265507"
    ],
    [
      "0.334551507",
      "0.823933639"
    ],
    [
      "0.69895761",
      "0.52027096"
    ],
    [
      "0.972038522",
      "1.388070669"
    ],
    [
      "1.604452319",
      "0.608170798"
    ],
    [
      "1.479666673",
      "0.644460344"
    ],
    [
      "0.396886114",
      "1.541417209"
    ],
    [
      "0.903859881",
      "0.796456069"
    ],
    [
      "1.416396545",
      "0.162813831"
    ],
    [
      "1.152164085",
      "1.922557779"
    ],
    [
      "0.825893174",
      "0.334427667"
    ],
    [
      "1.547845313",
      "1.236074944"
    ],
    [
      "1.14788589",
      "0.554237104"
    ],
    [
      "0.532926834",
      "1.224577616"
    ],
    [
      "1.059793295",
      "1.720512875"
    ],
    [
      "1.904246667",
      "0.762082518"
    ],
    [
      "0.737800578",
      "1.500703438"
    ],
    [
      "0.156084887",
      "1.402584209"
    ],
    [
      "0.952462389",
      "1.647243063"
    ],
    [
      "1.686130249",
      "1.029785521"
    ],
    [
      "0.367598072",
      "1.688719511"
    ],
    [
      "0.35433505",
      "0.564425972"
    ],
    [
      "1.403803277",
      "1.841493676"
    ],
    [
      "0.894071815",
      "0.926042266"
    ],
    [
      "1.050343051",
      "0.351381095"
    ],
    [
      "0.699303013",
      "0.3638113"
    ],
    [
      "1.138097824",
      "0.683823301"
    ],
    [
      "1.089157493",
      "1.331754285"
    ],
    [
      "0.445172061",
      "0.89213541"
    ],
    [
      "1.811185466",
      "0.994436104"
    ],
    [
      "0.941711285",
      "0.275429615"
    ],
    [
      "1.440514408",
      "1.162805132"
    ],
    [
      "0.236636952",
      "0.460052205"
    ],
    [
      "1.733545801",
      "0.623112738"
    ],
    [
      "1.31360737",
      "1.348707713"
    ],
    [
      "1.538057247",
      "1.365661141"
    ],
    [
      "0.828915963",
      "0.204507493"
    ],
    [
      "0.94534207",
      "1.933423417"
    ],
    [
      "0.067673997",
      "0.930438666"
    ],
    [
      "1.630297016",
      "0.30935361"
    ],
    [
      "0.829971925",
      "1.703041358"
    ],
    [
      "0.852427254",
      "0.076696665"
    ],
    [
      "0.590858137",
      "1.840755434"
    ],
    [
      "1.177340149",
      "0.165485347"
    ],
    [
      "0.81610507",
      "0.46401386"
    ],
    [
      "0.226848886",
      "0.589638402"
    ],
    [
      "0.59384979",
      "0.160764246"
    ],
    [
      "1.098945559",
      "1.202168088"
    ],
    [
      "0.864707616",
      "1.314800857"
    ],
    [
      "1.265004862",
      "0.497920719"
    ],
    [
      "1.676342183",
      "1.159371718"
    ],
    [
      "0.669621938",
      "0.909088838"
    ],
    [
      "0.725836287",
      "0.106075494"
    ],
    [
      "0.464748193",
      "0.632963017"
    ],
    [
      "1.206276465",
      "1.2754379"
    ],
    [
      "0.270248241",
      "1.464673799"
    ],
    [
      "0.659833872",
      "1.038675035"
    ],
    [
      "0.5427149",
      "1.09499142"
    ],
    [
      "1.469878606",
      "0.774046541"
    ],
    [
      "0.471789396",
      "1.767873481"
    ],
    [
      "1.557633379",
      "1.106488747"
    ],
    [
      "1.30776507",
      "0.242614838"
    ],
    [
      "1.389543917",
      "0.429507197"
    ],
    [
      "0.603090325",
      "1.578820392"
    ],
    [
      "1.216064531",
      "1.145851704"
    ],
    [
      "1.196488398",
      "1.405024097"
    ],
    [
      "0.712880932",
      "1.759415892"
    ],
    [
      "1.528450877",
      "0.228633398"
    ],
    [
      "1.639558568",
      "0.733294497"
    ],
    [
      "0.757376711",
      "1.241531044"
    ],
    [
      "1.422425999",
      "0.303780679"
    ],
    [
      "1.167552083",
      "0.295071544"
    ],
    [
      "0.52309453",
      "1.354228651"
    ],
    [
      "0.679410004",
      "0.779502642"
    ],
    [
      "1.167323644",
      "1.793489671"
    ],
    [
      "1.420938275",
      "1.421977525"
    ],
    [
      "1.862525571",
      "0.639006368"
    ],
    [
      "0.486269184",
      "1.635752014"
    ],
    [
      "1.157673957",
      "0.424650907"
    ],
    [
      "1.020978853",
      "0.740139685"
    ],
    [
      "1.333183502",
      "1.089535319"
    ],
    [
      "1.770332591",
      "1.249116868"
    ],
    [
      "1.488756086",
      "0.513443687"
    ],
    [
      "0.874495682",
      "1.18521466"
    ],
    [
      "1.762556958",
      "1.382541515"
    ],
    [
      "0.93322408",
      "0.407697479"
    ],
    [
      "1.352759635",
      "0.830362925"
    ],
    [
      "1.577209512",
      "0.847316353"
    ],
    [
      "0.435383995",
      "1.021721607"
    ],
    [
      "1.450302474",
      "1.033218935"
    ],
    [
      "0.72264102",
      "1.629771546"
    ],
    [
      "0.702324996",
      "0.233886323"
    ],
    [
      "0.776952843",
      "0.982358651"
    ],
    [
      "1.089937116",
      "0.069313114"
    ],
    [
      "1.719967579",
      "0.403415179"
    ],
    [
      "0.838011164",
      "1.860153604"
    ],
    [
      "0.364123117",
      "0.434839775"
    ],
    [
      "1.00140272",
      "0.999312079"
    ],
    [
      "1.783128715",
      "1.510858277"
    ],
    [
      "1.323395436",
      "1.219121516"
    ],
    [
      "1.76865205",
      "0.748236436"
    ],
    [
      "1.932335125",
      "1.068832901"
    ],
    [
      "1.069581361",
      "1.590926679"
    ],
    [
      "0.405992453",
      "1.411781322"
    ],
    [
      "1.411150209",
      "1.551563722"
    ],
    [
      "0.299047255",
      "1.337949668"
    ],
    [
      "1.806543999",
      "1.124308524"
    ],
    [
      "1.309155441",
      "1.632096051"
    ],
    [
      "0.640257739",
      "1.297847429"
    ],
    [
      "1.514560897",
      "1.630269619"
    ],
    [
      "0.200650942",
      "1.13331291"
    ],
    [
      "0.711380895",
      "1.889362567"
    ],
    [
      "1.697157257",
      "0.899380339"
    ],
    [
      "1.128309758",
      "0.813409497"
    ],
    [
      "0.991614654",
      "1.128898276"
    ],
    [
      "1.430726342",
      "1.292391328"
    ],
    [
      "1.296298597",
      "0.11316636"
    ],
    [
      "1.655176218",
      "1.309344756"
    ],
    [
      "1.527028018",
      "1.772339454"
    ],
    [
      "0.586981756",
      "0.293755561"
    ],
    [
      "0.552502966",
      "0.965405223"
    ],
    [
      "1.118521692",
      "0.942995694"
    ],
    [
      "1.629022786",
      "1.691807125"
    ],
    [
      "0.308080591",
      "1.208011986"
    ],
    [
      "1.795730383",
      "0.509001098"
    ],
    [
      "1.87771333",
      "1.322313626"
    ],
    [
      "0.184883901",
      "1.275860078"
    ],
    [
      "1.245428729",
      "0.757093113"
    ],
    [
      "1.303819304",
      "1.47829391"
    ],
    [
      "0.592358174",
      "1.710808758"
    ],
    [
      "0.767164777",
      "1.111944848"
    ],
    [
      "1.274882988",
      "0.368341357"
    ],
    [
      "1.82520866",
      "0.865239593"
    ],
    [
      "0.796528976",
      "0.723186257"
    ],
    [
      "0.513707255",
      "1.484485588"
    ],
    [
      "0.937302831",
      "1.776311171"
    ],
    [
      "1.040554985",
      "0.480967291"
    ],
    [
      "0.972818144",
      "0.125629499"
    ],
    [
      "1.645388152",
      "1.438930953"
    ],
    [
      "0.484613662",
      "0.373812802"
    ],
    [
      "1.567421446",
      "0.97690255"
    ],
    [
      "1.186700332",
      "1.534610294"
    ],
    [
      "1.913924738",
      "1.197505282"
    ],
    [
      "1.011190786",
      "0.869725882"
    ],
    [
      "0.650045806",
      "1.168261232"
    ],
    [
      "0.125009282",
      "0.670366859"
    ],
    [
      "1.255216796",
      "0.627506916"
    ],
    [
      "0.476568613",
      "0.225218517"
    ],
    [
      "0.962250455",
      "1.517656866"
    ],
    [
      "0.913647947",
      "0.666869873"
    ],
    [
      "0.227437167",
      "0.750347588"
    ],
    [
      "0.47453626",
      "0.50337682"
    ],
    [
      "1.293766893",
      "1.763481452"
    ],
    [
      "0.85491955",
      "1.444387054"
    ],
    [
      "0.085043967",
      "1.192671279"
    ],
    [
      "1.362547701",
      "0.700776729"
    ]
  ],
  "radius": "0.064977666"
}
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": 198
}

起步布局答案

{
  "centers": [
    [
      "0.845131484",
      "1.573973251"
    ],
    [
      "0.562291033",
      "0.835819026"
    ],
    [
      "1.524272138",
      "0.384500891"
    ],
    [
      "1.372335767",
      "0.571190532"
    ],
    [
      "0.182774201",
      "1.004593017"
    ],
    [
      "1.183310358",
      "1.664521405"
    ],
    [
      "0.344546984",
      "0.694012169"
    ],
    [
      "1.044633736",
      "1.849580983"
    ],
    [
      "0.59535934",
      "0.441811957"
    ],
    [
      "0.572079099",
      "0.706232829"
    ],
    [
      "0.374200518",
      "0.305275758"
    ],
    [
      "0.581867165",
      "0.576646632"
    ],
    [
      "0.747588645",
      "1.371117241"
    ],
    [
      "1.666038798",
      "1.567235043"
    ],
    [
      "0.190184609",
      "0.874849137"
    ],
    [
      "1.613942701",
      "0.47856246"
    ],
    [
      "1.412566129",
      "1.710801948"
    ],
    [
      "1.235640663",
      "0.88667931"
    ],
    [
      "0.087756725",
      "0.794868407"
    ],
    [
      "0.300388282",
      "0.949318099"
    ],
    [
      "0.806317042",
      "0.59360006"
    ],
    [
      "0.923436013",
      "0.537283676"
    ],
    [
      "0.786740909",
      "0.852772454"
    ],
    [
      "1.342971569",
      "0.959949122"
    ],
    [
      "0.318265023",
      "1.078037992"
    ],
    [
      "1.46009054",
      "0.903632738"
    ],
    [
      "0.415807862",
      "1.280894001"
    ],
    [
      "1.932984762",
      "0.938829681"
    ],
    [
      "1.529667871",
      "1.498212356"
    ],
    [
      "1.278607335",
      "1.89254956"
    ],
    [
      "1.108733626",
      "1.072581891"
    ],
    [
      "1.060221178",
      "0.221801732"
    ],
    [
      "0.067167226",
      "1.063951386"
    ],
    [
      "0.454960127",
      "0.762549214"
    ],
    [
      "0.68919807",
      "0.649916445"
    ],
    [
      "0.981826588",
      "1.258484472"
    ],
    [
      "0.884283749",
      "1.055628463"
    ],
    [
      "0.425595929",
      "1.151307804"
    ],
    [
      "0.630469673",
      "1.427433626"
    ],
    [
      "1.030766919",
      "0.610553488"
    ],
    [
      "1.079369427",
      "1.461340482"
    ],
    [
      "0.278215001",
      "1.594384706"
    ],
    [
      "1.225852597",
      "1.016265507"
    ],
    [
      "0.334551507",
      "0.823933639"
    ],
    [
      "0.69895761",
      "0.52027096"
    ],
    [
      "0.972038522",
      "1.388070669"
    ],
    [
      "1.604452319",
      "0.608170798"
    ],
    [
      "1.479666673",
      "0.644460344"
    ],
    [
      "0.396886114",
      "1.541417209"
    ],
    [
      "0.903859881",
      "0.796456069"
    ],
    [
      "1.416396545",
      "0.162813831"
    ],
    [
      "1.152164085",
      "1.922557779"
    ],
    [
      "0.825893174",
      "0.334427667"
    ],
    [
      "1.547845313",
      "1.236074944"
    ],
    [
      "1.14788589",
      "0.554237104"
    ],
    [
      "0.532926834",
      "1.224577616"
    ],
    [
      "1.059793295",
      "1.720512875"
    ],
    [
      "1.904246667",
      "0.762082518"
    ],
    [
      "0.737800578",
      "1.500703438"
    ],
    [
      "0.156084887",
      "1.402584209"
    ],
    [
      "0.952462389",
      "1.647243063"
    ],
    [
      "1.686130249",
      "1.029785521"
    ],
    [
      "0.367598072",
      "1.688719511"
    ],
    [
      "0.35433505",
      "0.564425972"
    ],
    [
      "1.403803277",
      "1.841493676"
    ],
    [
      "0.894071815",
      "0.926042266"
    ],
    [
      "1.050343051",
      "0.351381095"
    ],
    [
      "0.699303013",
      "0.3638113"
    ],
    [
      "1.138097824",
      "0.683823301"
    ],
    [
      "1.089157493",
      "1.331754285"
    ],
    [
      "0.445172061",
      "0.89213541"
    ],
    [
      "1.811185466",
      "0.994436104"
    ],
    [
      "0.941711285",
      "0.275429615"
    ],
    [
      "1.440514408",
      "1.162805132"
    ],
    [
      "0.236636952",
      "0.460052205"
    ],
    [
      "1.733545801",
      "0.623112738"
    ],
    [
      "1.31360737",
      "1.348707713"
    ],
    [
      "1.538057247",
      "1.365661141"
    ],
    [
      "0.828915963",
      "0.204507493"
    ],
    [
      "0.94534207",
      "1.933423417"
    ],
    [
      "0.067673997",
      "0.930438666"
    ],
    [
      "1.630297016",
      "0.30935361"
    ],
    [
      "0.829971925",
      "1.703041358"
    ],
    [
      "0.852427254",
      "0.076696665"
    ],
    [
      "0.590858137",
      "1.840755434"
    ],
    [
      "1.177340149",
      "0.165485347"
    ],
    [
      "0.81610507",
      "0.46401386"
    ],
    [
      "0.226848886",
      "0.589638402"
    ],
    [
      "0.59384979",
      "0.160764246"
    ],
    [
      "1.098945559",
      "1.202168088"
    ],
    [
      "0.864707616",
      "1.314800857"
    ],
    [
      "1.265004862",
      "0.497920719"
    ],
    [
      "1.676342183",
      "1.159371718"
    ],
    [
      "0.669621938",
      "0.909088838"
    ],
    [
      "0.725836287",
      "0.106075494"
    ],
    [
      "0.464748193",
      "0.632963017"
    ],
    [
      "1.206276465",
      "1.2754379"
    ],
    [
      "0.270248241",
      "1.464673799"
    ],
    [
      "0.659833872",
      "1.038675035"
    ],
    [
      "0.5427149",
      "1.09499142"
    ],
    [
      "1.469878606",
      "0.774046541"
    ],
    [
      "0.471789396",
      "1.767873481"
    ],
    [
      "1.557633379",
      "1.106488747"
    ],
    [
      "1.30776507",
      "0.242614838"
    ],
    [
      "1.389543917",
      "0.429507197"
    ],
    [
      "0.603090325",
      "1.578820392"
    ],
    [
      "1.216064531",
      "1.145851704"
    ],
    [
      "1.196488398",
      "1.405024097"
    ],
    [
      "0.712880932",
      "1.759415892"
    ],
    [
      "1.528450877",
      "0.228633398"
    ],
    [
      "1.639558568",
      "0.733294497"
    ],
    [
      "0.757376711",
      "1.241531044"
    ],
    [
      "1.422425999",
      "0.303780679"
    ],
    [
      "1.167552083",
      "0.295071544"
    ],
    [
      "0.52309453",
      "1.354228651"
    ],
    [
      "0.679410004",
      "0.779502642"
    ],
    [
      "1.167323644",
      "1.793489671"
    ],
    [
      "1.420938275",
      "1.421977525"
    ],
    [
      "1.862525571",
      "0.639006368"
    ],
    [
      "0.486269184",
      "1.635752014"
    ],
    [
      "1.157673957",
      "0.424650907"
    ],
    [
      "1.020978853",
      "0.740139685"
    ],
    [
      "1.333183502",
      "1.089535319"
    ],
    [
      "1.770332591",
      "1.249116868"
    ],
    [
      "1.488756086",
      "0.513443687"
    ],
    [
      "0.874495682",
      "1.18521466"
    ],
    [
      "1.762556958",
      "1.382541515"
    ],
    [
      "0.93322408",
      "0.407697479"
    ],
    [
      "1.352759635",
      "0.830362925"
    ],
    [
      "1.577209512",
      "0.847316353"
    ],
    [
      "0.435383995",
      "1.021721607"
    ],
    [
      "1.450302474",
      "1.033218935"
    ],
    [
      "0.72264102",
      "1.629771546"
    ],
    [
      "0.702324996",
      "0.233886323"
    ],
    [
      "0.776952843",
      "0.982358651"
    ],
    [
      "1.089937116",
      "0.069313114"
    ],
    [
      "1.719967579",
      "0.403415179"
    ],
    [
      "0.838011164",
      "1.860153604"
    ],
    [
      "0.364123117",
      "0.434839775"
    ],
    [
      "1.00140272",
      "0.999312079"
    ],
    [
      "1.783128715",
      "1.510858277"
    ],
    [
      "1.323395436",
      "1.219121516"
    ],
    [
      "1.76865205",
      "0.748236436"
    ],
    [
      "1.932335125",
      "1.068832901"
    ],
    [
      "1.069581361",
      "1.590926679"
    ],
    [
      "0.405992453",
      "1.411781322"
    ],
    [
      "1.411150209",
      "1.551563722"
    ],
    [
      "0.299047255",
      "1.337949668"
    ],
    [
      "1.806543999",
      "1.124308524"
    ],
    [
      "1.309155441",
      "1.632096051"
    ],
    [
      "0.640257739",
      "1.297847429"
    ],
    [
      "1.514560897",
      "1.630269619"
    ],
    [
      "0.200650942",
      "1.13331291"
    ],
    [
      "0.711380895",
      "1.889362567"
    ],
    [
      "1.697157257",
      "0.899380339"
    ],
    [
      "1.128309758",
      "0.813409497"
    ],
    [
      "0.991614654",
      "1.128898276"
    ],
    [
      "1.430726342",
      "1.292391328"
    ],
    [
      "1.296298597",
      "0.11316636"
    ],
    [
      "1.655176218",
      "1.309344756"
    ],
    [
      "1.527028018",
      "1.772339454"
    ],
    [
      "0.586981756",
      "0.293755561"
    ],
    [
      "0.552502966",
      "0.965405223"
    ],
    [
      "1.118521692",
      "0.942995694"
    ],
    [
      "1.629022786",
      "1.691807125"
    ],
    [
      "0.308080591",
      "1.208011986"
    ],
    [
      "1.795730383",
      "0.509001098"
    ],
    [
      "1.87771333",
      "1.322313626"
    ],
    [
      "0.184883901",
      "1.275860078"
    ],
    [
      "1.245428729",
      "0.757093113"
    ],
    [
      "1.303819304",
      "1.47829391"
    ],
    [
      "0.592358174",
      "1.710808758"
    ],
    [
      "0.767164777",
      "1.111944848"
    ],
    [
      "1.274882988",
      "0.368341357"
    ],
    [
      "1.82520866",
      "0.865239593"
    ],
    [
      "0.796528976",
      "0.723186257"
    ],
    [
      "0.513707255",
      "1.484485588"
    ],
    [
      "0.937302831",
      "1.776311171"
    ],
    [
      "1.040554985",
      "0.480967291"
    ],
    [
      "0.972818144",
      "0.125629499"
    ],
    [
      "1.645388152",
      "1.438930953"
    ],
    [
      "0.484613662",
      "0.373812802"
    ],
    [
      "1.567421446",
      "0.97690255"
    ],
    [
      "1.186700332",
      "1.534610294"
    ],
    [
      "1.913924738",
      "1.197505282"
    ],
    [
      "1.011190786",
      "0.869725882"
    ],
    [
      "0.650045806",
      "1.168261232"
    ],
    [
      "0.125009282",
      "0.670366859"
    ],
    [
      "1.255216796",
      "0.627506916"
    ],
    [
      "0.476568613",
      "0.225218517"
    ],
    [
      "0.962250455",
      "1.517656866"
    ],
    [
      "0.913647947",
      "0.666869873"
    ],
    [
      "0.227437167",
      "0.750347588"
    ],
    [
      "0.47453626",
      "0.50337682"
    ],
    [
      "1.293766893",
      "1.763481452"
    ],
    [
      "0.85491955",
      "1.444387054"
    ],
    [
      "0.085043967",
      "1.192671279"
    ],
    [
      "1.362547701",
      "0.700776729"
    ]
  ],
  "radius": "0.064977666"
}

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?