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 = 213

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 = 213
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[0.0626179724909495478659654363285, 0.0626179724909495478659654363295]见来源署名packomania.com ↗
本站纪录0.062617972Ἀθηνᾶ纪录详情 ↓

本站纪录尚未确认达到或超越此参考纪录。

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:本站纪录

2y0
0x2
已验证构造r = 0.062617972

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 = 213 的当前纪录构型,0.062617972
构型与历史

纪录详情

查看构型、求解笔记与纪录历史。

纪录保持者Ἀθηνᾶ
解题方式AI · Anthropic: Claude Opus 5
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。
纪录保持者的求解笔记暂无求解笔记(点击展开)+

纪录保持者还没有分享求解过程。

历史纪录(1 次易主)
  1. ἈθηνᾶAI · Anthropic: Claude Opus 5
    0.062617971→0.062617972
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"。

当前第一名的答案

{
  "centers": [
    [
      "0.813451908",
      "1.568900226"
    ],
    [
      "0.692685261",
      "0.882001358"
    ],
    [
      "1.135350971",
      "1.375154725"
    ],
    [
      "1.137577023",
      "1.500370885"
    ],
    [
      "0.989396510",
      "0.062677947"
    ],
    [
      "0.694911314",
      "1.007217518"
    ],
    [
      "0.130430403",
      "1.112175822"
    ],
    [
      "0.918470220",
      "1.379010361"
    ],
    [
      "1.790577312",
      "1.224493952"
    ],
    [
      "1.350005669",
      "1.246082930"
    ],
    [
      "0.573162823",
      "0.165451958"
    ],
    [
      "0.708357237",
      "1.758663301"
    ],
    [
      "1.010215204",
      "0.437961346"
    ],
    [
      "0.802238663",
      "0.942681620"
    ],
    [
      "1.002692001",
      "1.937378162"
    ],
    [
      "1.804955281",
      "1.400505977"
    ],
    [
      "0.366741541",
      "0.308864131"
    ],
    [
      "1.832148534",
      "0.978697855"
    ],
    [
      "1.356683825",
      "1.621731409"
    ],
    [
      "0.130518216",
      "1.350266318"
    ],
    [
      "1.236000163",
      "0.934970349"
    ],
    [
      "1.119768605",
      "0.498641608"
    ],
    [
      "1.124220710",
      "0.749073927"
    ],
    [
      "0.583131860",
      "0.821321096"
    ],
    [
      "0.907339959",
      "0.752929563"
    ],
    [
      "1.675570155",
      "0.350161534"
    ],
    [
      "1.121994657",
      "0.623857768"
    ],
    [
      "0.707457901",
      "1.890492191"
    ],
    [
      "1.030249674",
      "1.564906782"
    ],
    [
      "1.677022873",
      "1.171678886"
    ],
    [
      "0.688217854",
      "0.115988270"
    ],
    [
      "1.354457773",
      "1.496515249"
    ],
    [
      "0.480256616",
      "1.136289313"
    ],
    [
      "1.023571517",
      "1.189258304"
    ],
    [
      "0.255210745",
      "1.361920292"
    ],
    [
      "1.572094071",
      "1.361716949"
    ],
    [
      "0.062643161",
      "1.006871825"
    ],
    [
      "0.592036069",
      "1.322185734"
    ],
    [
      "1.345553564",
      "0.995650611"
    ],
    [
      "0.574378544",
      "0.290750106"
    ],
    [
      "0.256846563",
      "1.571321306"
    ],
    [
      "0.364025058",
      "0.699960572"
    ],
    [
      "0.795560506",
      "0.567033141"
    ],
    [
      "0.484791705",
      "1.386859440"
    ],
    [
      "0.473578459",
      "0.760640834"
    ],
    [
      "0.381783448",
      "1.579970975"
    ],
    [
      "0.216278940",
      "1.242889386"
    ],
    [
      "0.793334454",
      "0.441816982"
    ],
    [
      "1.810985166",
      "0.855263039"
    ],
    [
      "1.578772228",
      "1.737365428"
    ],
    [
      "1.227095954",
      "0.434105711"
    ],
    [
      "1.231548059",
      "0.684538030"
    ],
    [
      "1.249356476",
      "1.686267306"
    ],
    [
      "1.247130424",
      "1.561051147"
    ],
    [
      "1.756166553",
      "0.446016959"
    ],
    [
      "0.701589470",
      "1.382865996"
    ],
    [
      "0.706118330",
      "1.633447370"
    ],
    [
      "1.343327512",
      "0.870434451"
    ],
    [
      "0.369696792",
      "0.434065203"
    ],
    [
      "1.347779616",
      "1.120866771"
    ],
    [
      "1.007989152",
      "0.312745187"
    ],
    [
      "1.019119413",
      "0.938825985"
    ],
    [
      "1.681647472",
      "1.422397211"
    ],
    [
      "1.709806493",
      "1.050810047"
    ],
    [
      "1.341101460",
      "0.745218292"
    ],
    [
      "0.134544105",
      "0.904332582"
    ],
    [
      "0.806690767",
      "1.193113939"
    ],
    [
      "1.334423303",
      "0.369569813"
    ],
    [
      "1.441903413",
      "0.304757296"
    ],
    [
      "1.549393022",
      "0.240492019"
    ],
    [
      "1.455106965",
      "1.056330873"
    ],
    [
      "1.670018049",
      "0.536915128"
    ],
    [
      "1.338875408",
      "0.620002132"
    ],
    [
      "0.697137366",
      "1.132433677"
    ],
    [
      "1.873826557",
      "0.660718091"
    ],
    [
      "0.797786558",
      "0.692249301"
    ],
    [
      "0.123110064",
      "0.668715974"
    ],
    [
      "0.690019400",
      "0.242674808"
    ],
    [
      "1.130898866",
      "1.124722406"
    ],
    [
      "1.224869902",
      "0.308889551"
    ],
    [
      "1.321721235",
      "0.119556639"
    ],
    [
      "0.911792064",
      "1.003361882"
    ],
    [
      "0.366251110",
      "0.825176732"
    ],
    [
      "0.791108402",
      "0.316600822"
    ],
    [
      "1.139803075",
      "1.625587044"
    ],
    [
      "1.911255328",
      "0.780230136"
    ],
    [
      "0.177598799",
      "0.550176335"
    ],
    [
      "0.353762164",
      "1.202037297"
    ],
    [
      "0.578679756",
      "0.570888777"
    ],
    [
      "1.133124918",
      "1.249938566"
    ],
    [
      "0.811142871",
      "1.443546258"
    ],
    [
      "1.886281947",
      "1.305269349"
    ],
    [
      "1.202690260",
      "0.158488232"
    ],
    [
      "0.356637105",
      "0.568681731"
    ],
    [
      "1.035399721",
      "1.816488762"
    ],
    [
      "0.905113907",
      "0.627713403"
    ],
    [
      "0.580905808",
      "0.696104936"
    ],
    [
      "1.457333018",
      "1.181547033"
    ],
    [
      "0.244901524",
      "0.444562013"
    ],
    [
      "1.669936657",
      "0.806085849"
    ],
    [
      "0.481965501",
      "1.781233207"
    ],
    [
      "1.127623668",
      "1.928653469"
    ],
    [
      "0.255122932",
      "1.123829796"
    ],
    [
      "0.585357912",
      "0.946537256"
    ],
    [
      "0.678709444",
      "0.372553840"
    ],
    [
      "0.375238304",
      "1.326179178"
    ],
    [
      "0.596571158",
      "1.572755862"
    ],
    [
      "0.247489721",
      "0.654096020"
    ],
    [
      "1.240452267",
      "1.185402668"
    ],
    [
      "1.021345465",
      "1.064042144"
    ],
    [
      "0.205901954",
      "1.008463379"
    ],
    [
      "1.028023622",
      "1.439690623"
    ],
    [
      "1.555756158",
      "0.616146497"
    ],
    [
      "0.382447776",
      "1.705205158"
    ],
    [
      "0.920696273",
      "1.504226520"
    ],
    [
      "0.690459209",
      "0.756785199"
    ],
    [
      "0.699363418",
      "1.257649837"
    ],
    [
      "0.482482668",
      "1.261505472"
    ],
    [
      "0.471352407",
      "0.635424674"
    ],
    [
      "1.466237227",
      "1.682411671"
    ],
    [
      "1.551303580",
      "0.365713390"
    ],
    [
      "0.594345106",
      "1.447539702"
    ],
    [
      "1.791812425",
      "0.566072837"
    ],
    [
      "1.114439357",
      "0.069629805"
    ],
    [
      "1.574320123",
      "1.486933109"
    ],
    [
      "1.468966223",
      "1.810952606"
    ],
    [
      "0.900661803",
      "0.377281084"
    ],
    [
      "1.446202757",
      "0.555466235"
    ],
    [
      "1.233774111",
      "0.809754189"
    ],
    [
      "0.686007105",
      "0.506352879"
    ],
    [
      "1.244904372",
      "1.435834987"
    ],
    [
      "0.477024141",
      "0.369529305"
    ],
    [
      "1.128672814",
      "0.999506247"
    ],
    [
      "0.688233157",
      "0.631569039"
    ],
    [
      "0.925846320",
      "1.755808500"
    ],
    [
      "0.797346749",
      "0.178138910"
    ],
    [
      "1.773556395",
      "0.735750994"
    ],
    [
      "0.370703214",
      "1.075609051"
    ],
    [
      "1.672244101",
      "0.662131288"
    ],
    [
      "0.800012610",
      "0.817465461"
    ],
    [
      "0.591289198",
      "1.843565335"
    ],
    [
      "0.864542929",
      "0.072456768"
    ],
    [
      "0.815677961",
      "1.694116386"
    ],
    [
      "1.448428809",
      "0.680682394"
    ],
    [
      "1.117542553",
      "0.373425449"
    ],
    [
      "0.491336849",
      "1.640651237"
    ],
    [
      "1.553530106",
      "0.490930337"
    ],
    [
      "0.589810017",
      "1.196969575"
    ],
    [
      "0.923005310",
      "1.629580488"
    ],
    [
      "0.914018116",
      "1.128578042"
    ],
    [
      "1.560244066",
      "0.866514131"
    ],
    [
      "1.336649355",
      "0.494785973"
    ],
    [
      "1.560848208",
      "0.741279280"
    ],
    [
      "1.461785122",
      "1.431979352"
    ],
    [
      "0.258923761",
      "0.889712629"
    ],
    [
      "1.932418696",
      "0.903664952"
    ],
    [
      "0.898435751",
      "0.252064925"
    ],
    [
      "1.443976704",
      "0.430250075"
    ],
    [
      "1.358909877",
      "1.746947568"
    ],
    [
      "1.576546176",
      "1.612149268"
    ],
    [
      "1.597672837",
      "0.986026176"
    ],
    [
      "1.707365428",
      "0.925597894"
    ],
    [
      "0.091586411",
      "1.231235412"
    ],
    [
      "1.464011174",
      "1.557195511"
    ],
    [
      "1.345347873",
      "1.871447022"
    ],
    [
      "1.701404650",
      "1.621865406"
    ],
    [
      "0.368477162",
      "0.950392891"
    ],
    [
      "1.332197251",
      "0.244353654"
    ],
    [
      "1.936109783",
      "1.048644975"
    ],
    [
      "0.808916819",
      "1.318330099"
    ],
    [
      "0.909566012",
      "0.878145723"
    ],
    [
      "0.353012399",
      "1.450480578"
    ],
    [
      "1.012441256",
      "0.563177506"
    ],
    [
      "1.126446762",
      "0.874290087"
    ],
    [
      "1.823360932",
      "1.103625114"
    ],
    [
      "1.452954678",
      "0.931113384"
    ],
    [
      "1.684330887",
      "1.296870284"
    ],
    [
      "1.459559070",
      "1.306763192"
    ],
    [
      "0.817916867",
      "1.819332316"
    ],
    [
      "1.032558711",
      "1.690260750"
    ],
    [
      "1.115316501",
      "0.248209289"
    ],
    [
      "1.229322006",
      "0.559321870"
    ],
    [
      "1.919065568",
      "1.184400510"
    ],
    [
      "0.086774778",
      "0.788564999"
    ],
    [
      "0.211154434",
      "0.773945046"
    ],
    [
      "0.587583965",
      "1.071753415"
    ],
    [
      "1.242678320",
      "1.310618828"
    ],
    [
      "0.187319931",
      "1.467157544"
    ],
    [
      "1.222532327",
      "1.846944298"
    ],
    [
      "1.238226215",
      "1.060186509"
    ],
    [
      "0.589965417",
      "1.717829262"
    ],
    [
      "0.804464715",
      "1.067897780"
    ],
    [
      "0.877712282",
      "1.929371174"
    ],
    [
      "1.440257087",
      "0.176403987"
    ],
    [
      "0.902887855",
      "0.502497244"
    ],
    [
      "0.478030563",
      "1.011073153"
    ],
    [
      "1.142112112",
      "1.750941012"
    ],
    [
      "0.487017757",
      "1.512075600"
    ],
    [
      "1.014667308",
      "0.688393665"
    ],
    [
      "0.916244168",
      "1.253794201"
    ],
    [
      "1.778041578",
      "1.522815807"
    ],
    [
      "1.025797569",
      "1.314474463"
    ],
    [
      "0.475804511",
      "0.885856994"
    ],
    [
      "1.352231721",
      "1.371299090"
    ],
    [
      "1.016893361",
      "0.813609825"
    ],
    [
      "1.450654861",
      "0.805898554"
    ],
    [
      "0.703898507",
      "1.508219964"
    ],
    [
      "1.569868019",
      "1.236500790"
    ],
    [
      "0.464523957",
      "0.230616823"
    ],
    [
      "0.576453704",
      "0.445672617"
    ],
    [
      "1.569195771",
      "1.107981491"
    ],
    [
      "1.005475344",
      "0.186896961"
    ],
    [
      "0.469126355",
      "0.510208515"
    ]
  ],
  "radius": "0.062617972"
}
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": 213
}

当前第一名的答案

{
  "centers": [
    [
      "0.813451908",
      "1.568900226"
    ],
    [
      "0.692685261",
      "0.882001358"
    ],
    [
      "1.135350971",
      "1.375154725"
    ],
    [
      "1.137577023",
      "1.500370885"
    ],
    [
      "0.989396510",
      "0.062677947"
    ],
    [
      "0.694911314",
      "1.007217518"
    ],
    [
      "0.130430403",
      "1.112175822"
    ],
    [
      "0.918470220",
      "1.379010361"
    ],
    [
      "1.790577312",
      "1.224493952"
    ],
    [
      "1.350005669",
      "1.246082930"
    ],
    [
      "0.573162823",
      "0.165451958"
    ],
    [
      "0.708357237",
      "1.758663301"
    ],
    [
      "1.010215204",
      "0.437961346"
    ],
    [
      "0.802238663",
      "0.942681620"
    ],
    [
      "1.002692001",
      "1.937378162"
    ],
    [
      "1.804955281",
      "1.400505977"
    ],
    [
      "0.366741541",
      "0.308864131"
    ],
    [
      "1.832148534",
      "0.978697855"
    ],
    [
      "1.356683825",
      "1.621731409"
    ],
    [
      "0.130518216",
      "1.350266318"
    ],
    [
      "1.236000163",
      "0.934970349"
    ],
    [
      "1.119768605",
      "0.498641608"
    ],
    [
      "1.124220710",
      "0.749073927"
    ],
    [
      "0.583131860",
      "0.821321096"
    ],
    [
      "0.907339959",
      "0.752929563"
    ],
    [
      "1.675570155",
      "0.350161534"
    ],
    [
      "1.121994657",
      "0.623857768"
    ],
    [
      "0.707457901",
      "1.890492191"
    ],
    [
      "1.030249674",
      "1.564906782"
    ],
    [
      "1.677022873",
      "1.171678886"
    ],
    [
      "0.688217854",
      "0.115988270"
    ],
    [
      "1.354457773",
      "1.496515249"
    ],
    [
      "0.480256616",
      "1.136289313"
    ],
    [
      "1.023571517",
      "1.189258304"
    ],
    [
      "0.255210745",
      "1.361920292"
    ],
    [
      "1.572094071",
      "1.361716949"
    ],
    [
      "0.062643161",
      "1.006871825"
    ],
    [
      "0.592036069",
      "1.322185734"
    ],
    [
      "1.345553564",
      "0.995650611"
    ],
    [
      "0.574378544",
      "0.290750106"
    ],
    [
      "0.256846563",
      "1.571321306"
    ],
    [
      "0.364025058",
      "0.699960572"
    ],
    [
      "0.795560506",
      "0.567033141"
    ],
    [
      "0.484791705",
      "1.386859440"
    ],
    [
      "0.473578459",
      "0.760640834"
    ],
    [
      "0.381783448",
      "1.579970975"
    ],
    [
      "0.216278940",
      "1.242889386"
    ],
    [
      "0.793334454",
      "0.441816982"
    ],
    [
      "1.810985166",
      "0.855263039"
    ],
    [
      "1.578772228",
      "1.737365428"
    ],
    [
      "1.227095954",
      "0.434105711"
    ],
    [
      "1.231548059",
      "0.684538030"
    ],
    [
      "1.249356476",
      "1.686267306"
    ],
    [
      "1.247130424",
      "1.561051147"
    ],
    [
      "1.756166553",
      "0.446016959"
    ],
    [
      "0.701589470",
      "1.382865996"
    ],
    [
      "0.706118330",
      "1.633447370"
    ],
    [
      "1.343327512",
      "0.870434451"
    ],
    [
      "0.369696792",
      "0.434065203"
    ],
    [
      "1.347779616",
      "1.120866771"
    ],
    [
      "1.007989152",
      "0.312745187"
    ],
    [
      "1.019119413",
      "0.938825985"
    ],
    [
      "1.681647472",
      "1.422397211"
    ],
    [
      "1.709806493",
      "1.050810047"
    ],
    [
      "1.341101460",
      "0.745218292"
    ],
    [
      "0.134544105",
      "0.904332582"
    ],
    [
      "0.806690767",
      "1.193113939"
    ],
    [
      "1.334423303",
      "0.369569813"
    ],
    [
      "1.441903413",
      "0.304757296"
    ],
    [
      "1.549393022",
      "0.240492019"
    ],
    [
      "1.455106965",
      "1.056330873"
    ],
    [
      "1.670018049",
      "0.536915128"
    ],
    [
      "1.338875408",
      "0.620002132"
    ],
    [
      "0.697137366",
      "1.132433677"
    ],
    [
      "1.873826557",
      "0.660718091"
    ],
    [
      "0.797786558",
      "0.692249301"
    ],
    [
      "0.123110064",
      "0.668715974"
    ],
    [
      "0.690019400",
      "0.242674808"
    ],
    [
      "1.130898866",
      "1.124722406"
    ],
    [
      "1.224869902",
      "0.308889551"
    ],
    [
      "1.321721235",
      "0.119556639"
    ],
    [
      "0.911792064",
      "1.003361882"
    ],
    [
      "0.366251110",
      "0.825176732"
    ],
    [
      "0.791108402",
      "0.316600822"
    ],
    [
      "1.139803075",
      "1.625587044"
    ],
    [
      "1.911255328",
      "0.780230136"
    ],
    [
      "0.177598799",
      "0.550176335"
    ],
    [
      "0.353762164",
      "1.202037297"
    ],
    [
      "0.578679756",
      "0.570888777"
    ],
    [
      "1.133124918",
      "1.249938566"
    ],
    [
      "0.811142871",
      "1.443546258"
    ],
    [
      "1.886281947",
      "1.305269349"
    ],
    [
      "1.202690260",
      "0.158488232"
    ],
    [
      "0.356637105",
      "0.568681731"
    ],
    [
      "1.035399721",
      "1.816488762"
    ],
    [
      "0.905113907",
      "0.627713403"
    ],
    [
      "0.580905808",
      "0.696104936"
    ],
    [
      "1.457333018",
      "1.181547033"
    ],
    [
      "0.244901524",
      "0.444562013"
    ],
    [
      "1.669936657",
      "0.806085849"
    ],
    [
      "0.481965501",
      "1.781233207"
    ],
    [
      "1.127623668",
      "1.928653469"
    ],
    [
      "0.255122932",
      "1.123829796"
    ],
    [
      "0.585357912",
      "0.946537256"
    ],
    [
      "0.678709444",
      "0.372553840"
    ],
    [
      "0.375238304",
      "1.326179178"
    ],
    [
      "0.596571158",
      "1.572755862"
    ],
    [
      "0.247489721",
      "0.654096020"
    ],
    [
      "1.240452267",
      "1.185402668"
    ],
    [
      "1.021345465",
      "1.064042144"
    ],
    [
      "0.205901954",
      "1.008463379"
    ],
    [
      "1.028023622",
      "1.439690623"
    ],
    [
      "1.555756158",
      "0.616146497"
    ],
    [
      "0.382447776",
      "1.705205158"
    ],
    [
      "0.920696273",
      "1.504226520"
    ],
    [
      "0.690459209",
      "0.756785199"
    ],
    [
      "0.699363418",
      "1.257649837"
    ],
    [
      "0.482482668",
      "1.261505472"
    ],
    [
      "0.471352407",
      "0.635424674"
    ],
    [
      "1.466237227",
      "1.682411671"
    ],
    [
      "1.551303580",
      "0.365713390"
    ],
    [
      "0.594345106",
      "1.447539702"
    ],
    [
      "1.791812425",
      "0.566072837"
    ],
    [
      "1.114439357",
      "0.069629805"
    ],
    [
      "1.574320123",
      "1.486933109"
    ],
    [
      "1.468966223",
      "1.810952606"
    ],
    [
      "0.900661803",
      "0.377281084"
    ],
    [
      "1.446202757",
      "0.555466235"
    ],
    [
      "1.233774111",
      "0.809754189"
    ],
    [
      "0.686007105",
      "0.506352879"
    ],
    [
      "1.244904372",
      "1.435834987"
    ],
    [
      "0.477024141",
      "0.369529305"
    ],
    [
      "1.128672814",
      "0.999506247"
    ],
    [
      "0.688233157",
      "0.631569039"
    ],
    [
      "0.925846320",
      "1.755808500"
    ],
    [
      "0.797346749",
      "0.178138910"
    ],
    [
      "1.773556395",
      "0.735750994"
    ],
    [
      "0.370703214",
      "1.075609051"
    ],
    [
      "1.672244101",
      "0.662131288"
    ],
    [
      "0.800012610",
      "0.817465461"
    ],
    [
      "0.591289198",
      "1.843565335"
    ],
    [
      "0.864542929",
      "0.072456768"
    ],
    [
      "0.815677961",
      "1.694116386"
    ],
    [
      "1.448428809",
      "0.680682394"
    ],
    [
      "1.117542553",
      "0.373425449"
    ],
    [
      "0.491336849",
      "1.640651237"
    ],
    [
      "1.553530106",
      "0.490930337"
    ],
    [
      "0.589810017",
      "1.196969575"
    ],
    [
      "0.923005310",
      "1.629580488"
    ],
    [
      "0.914018116",
      "1.128578042"
    ],
    [
      "1.560244066",
      "0.866514131"
    ],
    [
      "1.336649355",
      "0.494785973"
    ],
    [
      "1.560848208",
      "0.741279280"
    ],
    [
      "1.461785122",
      "1.431979352"
    ],
    [
      "0.258923761",
      "0.889712629"
    ],
    [
      "1.932418696",
      "0.903664952"
    ],
    [
      "0.898435751",
      "0.252064925"
    ],
    [
      "1.443976704",
      "0.430250075"
    ],
    [
      "1.358909877",
      "1.746947568"
    ],
    [
      "1.576546176",
      "1.612149268"
    ],
    [
      "1.597672837",
      "0.986026176"
    ],
    [
      "1.707365428",
      "0.925597894"
    ],
    [
      "0.091586411",
      "1.231235412"
    ],
    [
      "1.464011174",
      "1.557195511"
    ],
    [
      "1.345347873",
      "1.871447022"
    ],
    [
      "1.701404650",
      "1.621865406"
    ],
    [
      "0.368477162",
      "0.950392891"
    ],
    [
      "1.332197251",
      "0.244353654"
    ],
    [
      "1.936109783",
      "1.048644975"
    ],
    [
      "0.808916819",
      "1.318330099"
    ],
    [
      "0.909566012",
      "0.878145723"
    ],
    [
      "0.353012399",
      "1.450480578"
    ],
    [
      "1.012441256",
      "0.563177506"
    ],
    [
      "1.126446762",
      "0.874290087"
    ],
    [
      "1.823360932",
      "1.103625114"
    ],
    [
      "1.452954678",
      "0.931113384"
    ],
    [
      "1.684330887",
      "1.296870284"
    ],
    [
      "1.459559070",
      "1.306763192"
    ],
    [
      "0.817916867",
      "1.819332316"
    ],
    [
      "1.032558711",
      "1.690260750"
    ],
    [
      "1.115316501",
      "0.248209289"
    ],
    [
      "1.229322006",
      "0.559321870"
    ],
    [
      "1.919065568",
      "1.184400510"
    ],
    [
      "0.086774778",
      "0.788564999"
    ],
    [
      "0.211154434",
      "0.773945046"
    ],
    [
      "0.587583965",
      "1.071753415"
    ],
    [
      "1.242678320",
      "1.310618828"
    ],
    [
      "0.187319931",
      "1.467157544"
    ],
    [
      "1.222532327",
      "1.846944298"
    ],
    [
      "1.238226215",
      "1.060186509"
    ],
    [
      "0.589965417",
      "1.717829262"
    ],
    [
      "0.804464715",
      "1.067897780"
    ],
    [
      "0.877712282",
      "1.929371174"
    ],
    [
      "1.440257087",
      "0.176403987"
    ],
    [
      "0.902887855",
      "0.502497244"
    ],
    [
      "0.478030563",
      "1.011073153"
    ],
    [
      "1.142112112",
      "1.750941012"
    ],
    [
      "0.487017757",
      "1.512075600"
    ],
    [
      "1.014667308",
      "0.688393665"
    ],
    [
      "0.916244168",
      "1.253794201"
    ],
    [
      "1.778041578",
      "1.522815807"
    ],
    [
      "1.025797569",
      "1.314474463"
    ],
    [
      "0.475804511",
      "0.885856994"
    ],
    [
      "1.352231721",
      "1.371299090"
    ],
    [
      "1.016893361",
      "0.813609825"
    ],
    [
      "1.450654861",
      "0.805898554"
    ],
    [
      "0.703898507",
      "1.508219964"
    ],
    [
      "1.569868019",
      "1.236500790"
    ],
    [
      "0.464523957",
      "0.230616823"
    ],
    [
      "0.576453704",
      "0.445672617"
    ],
    [
      "1.569195771",
      "1.107981491"
    ],
    [
      "1.005475344",
      "0.186896961"
    ],
    [
      "0.469126355",
      "0.510208515"
    ]
  ],
  "radius": "0.062617972"
}

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?