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 = 196

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 = 196
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[0.0652613718075486725840028962005, 0.0652613718075486725840028962015]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 = 0.065261371

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 = 196 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": [
    [
      "0.820757938",
      "1.800504763"
    ],
    [
      "0.912126013",
      "0.17536092"
    ],
    [
      "1.07855465",
      "1.815087075"
    ],
    [
      "1.785701239",
      "1.216380554"
    ],
    [
      "1.315423207",
      "0.88141829"
    ],
    [
      "0.526005717",
      "0.67104786"
    ],
    [
      "1.197670082",
      "1.561313058"
    ],
    [
      "1.112501892",
      "0.54653231"
    ],
    [
      "0.656499191",
      "0.668283852"
    ],
    [
      "1.128931748",
      "1.679038068"
    ],
    [
      "0.675688914",
      "1.572391195"
    ],
    [
      "0.467940083",
      "1.011461856"
    ],
    [
      "1.778542674",
      "0.980365817"
    ],
    [
      "0.692843639",
      "0.117168604"
    ],
    [
      "0.458365278",
      "0.559419201"
    ],
    [
      "0.332659206",
      "0.788204536"
    ],
    [
      "0.79656747",
      "1.1175625"
    ],
    [
      "0.337446608",
      "1.014225864"
    ],
    [
      "0.179757486",
      "0.551765551"
    ],
    [
      "0.864207908",
      "1.22919116"
    ],
    [
      "1.51496104",
      "0.989425658"
    ],
    [
      "0.405087047",
      "1.125854524"
    ],
    [
      "0.783254704",
      "0.438869323"
    ],
    [
      "0.125303825",
      "0.670411144"
    ],
    [
      "0.271399313",
      "0.414442708"
    ],
    [
      "1.878362084",
      "1.319712922"
    ],
    [
      "1.115620053",
      "0.771620488"
    ],
    [
      "1.726491126",
      "1.100060525"
    ],
    [
      "1.188047893",
      "1.109270476"
    ],
    [
      "1.384512856",
      "0.993836787"
    ],
    [
      "0.280347595",
      "1.367968727"
    ],
    [
      "0.670861398",
      "1.346347836"
    ],
    [
      "0.743329353",
      "1.684019855"
    ],
    [
      "1.567849012",
      "0.424500481"
    ],
    [
      "1.042483721",
      "0.181922524"
    ],
    [
      "0.593646155",
      "0.78267652"
    ],
    [
      "1.856917159",
      "0.626597689"
    ],
    [
      "0.58838144",
      "0.298157738"
    ],
    [
      "0.608823365",
      "1.848950613"
    ],
    [
      "1.497434124",
      "1.791388397"
    ],
    [
      "1.749730079",
      "1.341848727"
    ],
    [
      "1.100716877",
      "0.316936035"
    ],
    [
      "0.985126578",
      "0.774384496"
    ],
    [
      "0.330282155",
      "1.488561954"
    ],
    [
      "1.001617699",
      "1.707801229"
    ],
    [
      "1.708768655",
      "0.870058189"
    ],
    [
      "1.057554419",
      "1.112034484"
    ],
    [
      "1.30639156",
      "0.429675755"
    ],
    [
      "1.205500972",
      "1.784742092"
    ],
    [
      "0.206993188",
      "1.018479308"
    ],
    [
      "0.980339176",
      "0.548363168"
    ],
    [
      "0.342234011",
      "1.240247192"
    ],
    [
      "0.715624201",
      "0.327234643"
    ],
    [
      "1.062341821",
      "1.338055811"
    ],
    [
      "1.36694065",
      "1.794152405"
    ],
    [
      "1.655360082",
      "1.209498001"
    ],
    [
      "0.530793119",
      "0.897069188"
    ],
    [
      "0.617502843",
      "1.718716772"
    ],
    [
      "1.530077213",
      "1.665013497"
    ],
    [
      "0.461213272",
      "0.236164177"
    ],
    [
      "0.598433557",
      "1.008697848"
    ],
    [
      "1.153312134",
      "1.92208009"
    ],
    [
      "1.113055411",
      "0.072123512"
    ],
    [
      "1.242995367",
      "0.543768302"
    ],
    [
      "0.494382551",
      "1.786185283"
    ],
    [
      "1.462637173",
      "0.187778879"
    ],
    [
      "0.791780068",
      "0.891541172"
    ],
    [
      "1.269095069",
      "1.670759737"
    ],
    [
      "1.45274706",
      "1.105692594"
    ],
    [
      "1.374031999",
      "0.541304415"
    ],
    [
      "1.500206616",
      "0.312777774"
    ],
    [
      "1.06716836",
      "1.564053415"
    ],
    [
      "1.914333244",
      "1.194244749"
    ],
    [
      "1.43735358",
      "0.427170442"
    ],
    [
      "0.873822827",
      "1.681255846"
    ],
    [
      "1.125194857",
      "1.223663144"
    ],
    [
      "1.630702048",
      "0.310107813"
    ],
    [
      "1.770100159",
      "0.753099435"
    ],
    [
      "1.65779867",
      "0.519079791"
    ],
    [
      "1.047979614",
      "0.659991828"
    ],
    [
      "0.719352227",
      "0.553891184"
    ],
    [
      "1.726441279",
      "0.63009501"
    ],
    [
      "1.180142331",
      "0.65816097"
    ],
    [
      "0.092757333",
      "0.955341712"
    ],
    [
      "0.60322096",
      "1.234719176"
    ],
    [
      "1.639724414",
      "0.759292312"
    ],
    [
      "1.933647938",
      "0.954857658"
    ],
    [
      "1.596065534",
      "0.636287887"
    ],
    [
      "1.524988539",
      "1.215778709"
    ],
    [
      "0.400299644",
      "0.899833196"
    ],
    [
      "0.785924491",
      "0.208668012"
    ],
    [
      "0.922273542",
      "0.888777164"
    ],
    [
      "1.241201605",
      "0.096917452"
    ],
    [
      "0.549862405",
      "1.607088113"
    ],
    [
      "1.507622986",
      "0.540297771"
    ],
    [
      "1.378276243",
      "0.767025622"
    ],
    [
      "0.360067563",
      "0.318661039"
    ],
    [
      "1.441672437",
      "0.652933075"
    ],
    [
      "1.044861454",
      "0.43490365"
    ],
    [
      "0.472727485",
      "1.237483184"
    ],
    [
      "1.578352438",
      "0.875330446"
    ],
    [
      "1.323367907",
      "1.332504071"
    ],
    [
      "1.592908674",
      "1.549742018"
    ],
    [
      "0.409874449",
      "1.351875852"
    ],
    [
      "0.666073996",
      "1.120326508"
    ],
    [
      "1.445916798",
      "0.878659782"
    ],
    [
      "1.332143699",
      "0.190542887"
    ],
    [
      "1.796550033",
      "0.510873894"
    ],
    [
      "0.08173476",
      "0.825285226"
    ],
    [
      "1.331756716",
      "1.556262118"
    ],
    [
      "0.608009317",
      "1.460785783"
    ],
    [
      "0.572864291",
      "0.168560652"
    ],
    [
      "0.199718125",
      "1.482962849"
    ],
    [
      "0.948582518",
      "1.827063361"
    ],
    [
      "1.53369647",
      "1.433423053"
    ],
    [
      "1.678594453",
      "1.451283225"
    ],
    [
      "0.398682797",
      "0.443340831"
    ],
    [
      "0.395512242",
      "0.673811868"
    ],
    [
      "1.399583739",
      "1.667777505"
    ],
    [
      "1.247782769",
      "0.76978963"
    ],
    [
      "0.463152681",
      "0.785440528"
    ],
    [
      "1.457462788",
      "1.327476782"
    ],
    [
      "1.839184873",
      "0.864785931"
    ],
    [
      "0.972570683",
      "0.292142095"
    ],
    [
      "0.861677271",
      "1.924447471"
    ],
    [
      "1.720651706",
      "0.404687123"
    ],
    [
      "0.859420506",
      "1.003169832"
    ],
    [
      "0.477514888",
      "1.463504511"
    ],
    [
      "1.660549113",
      "1.661370677"
    ],
    [
      "1.310635805",
      "0.655396962"
    ],
    [
      "0.069015145",
      "1.08368693"
    ],
    [
      "1.192874432",
      "1.335268079"
    ],
    [
      "0.5255208",
      "0.412546227"
    ],
    [
      "0.936675863",
      "1.566863179"
    ],
    [
      "0.846117921",
      "0.32448225"
    ],
    [
      "1.584735058",
      "1.099733287"
    ],
    [
      "1.183260491",
      "0.883249148"
    ],
    [
      "0.806182389",
      "1.569627187"
    ],
    [
      "1.280258455",
      "1.891735107"
    ],
    [
      "1.817370517",
      "1.453477387"
    ],
    [
      "0.254766439",
      "0.896658426"
    ],
    [
      "0.263533745",
      "1.136120083"
    ],
    [
      "0.927060944",
      "1.114798492"
    ],
    [
      "1.386220943",
      "1.218111403"
    ],
    [
      "1.052767016",
      "0.886013156"
    ],
    [
      "0.661286593",
      "0.89430518"
    ],
    [
      "0.999488785",
      "1.452448479"
    ],
    [
      "0.730891375",
      "1.895163031"
    ],
    [
      "1.260514871",
      "1.446896739"
    ],
    [
      "0.931848347",
      "1.340819819"
    ],
    [
      "0.849845701",
      "0.551127176"
    ],
    [
      "1.873005738",
      "1.070437545"
    ],
    [
      "0.212707157",
      "1.256340067"
    ],
    [
      "1.369713142",
      "0.315541782"
    ],
    [
      "1.250900929",
      "0.994877808"
    ],
    [
      "0.421859154",
      "1.581566469"
    ],
    [
      "1.900576039",
      "0.749602115"
    ],
    [
      "1.509308196",
      "0.76456457"
    ],
    [
      "1.619382249",
      "1.33496426"
    ],
    [
      "0.588850179",
      "0.556225344"
    ],
    [
      "1.318580504",
      "1.106482744"
    ],
    [
      "0.801354872",
      "1.343583827"
    ],
    [
      "0.535580521",
      "1.123090516"
    ],
    [
      "0.724139629",
      "0.779912512"
    ],
    [
      "1.255727468",
      "1.220875412"
    ],
    [
      "0.868995311",
      "1.455212487"
    ],
    [
      "1.23920943",
      "0.31777067"
    ],
    [
      "0.786992665",
      "0.665519844"
    ],
    [
      "0.65276123",
      "0.441633331"
    ],
    [
      "0.089748511",
      "1.212552419"
    ],
    [
      "0.140223369",
      "1.366761576"
    ],
    [
      "0.202687179",
      "0.776227108"
    ],
    [
      "0.733714434",
      "1.231955168"
    ],
    [
      "1.02315169",
      "1.934395703"
    ],
    [
      "1.170629915",
      "0.206716464"
    ],
    [
      "0.728927032",
      "1.00593384"
    ],
    [
      "0.91748614",
      "0.662755836"
    ],
    [
      "0.389800311",
      "1.708090843"
    ],
    [
      "1.746234891",
      "1.562911885"
    ],
    [
      "0.310014547",
      "0.539122499"
    ],
    [
      "0.994701383",
      "1.226427152"
    ],
    [
      "0.98991398",
      "1.000405824"
    ],
    [
      "1.648126456",
      "0.985638075"
    ],
    [
      "0.540367924",
      "1.349111844"
    ],
    [
      "1.462436775",
      "1.553384837"
    ],
    [
      "1.394609752",
      "1.44186945"
    ],
    [
      "0.820180464",
      "0.082720742"
    ],
    [
      "1.175567726",
      "0.431749365"
    ],
    [
      "0.738501836",
      "1.457976495"
    ],
    [
      "1.120407455",
      "0.997641816"
    ],
    [
      "0.982586745",
      "0.065439108"
    ],
    [
      "0.91434149",
      "0.435755477"
    ],
    [
      "1.130021396",
      "1.449660747"
    ],
    [
      "0.295526381",
      "1.614372219"
    ],
    [
      "0.854633104",
      "0.777148504"
    ],
    [
      "0.265540215",
      "0.66183444"
    ]
  ],
  "radius": "0.065261371"
}
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": 196
}

起步布局答案

{
  "centers": [
    [
      "0.820757938",
      "1.800504763"
    ],
    [
      "0.912126013",
      "0.17536092"
    ],
    [
      "1.07855465",
      "1.815087075"
    ],
    [
      "1.785701239",
      "1.216380554"
    ],
    [
      "1.315423207",
      "0.88141829"
    ],
    [
      "0.526005717",
      "0.67104786"
    ],
    [
      "1.197670082",
      "1.561313058"
    ],
    [
      "1.112501892",
      "0.54653231"
    ],
    [
      "0.656499191",
      "0.668283852"
    ],
    [
      "1.128931748",
      "1.679038068"
    ],
    [
      "0.675688914",
      "1.572391195"
    ],
    [
      "0.467940083",
      "1.011461856"
    ],
    [
      "1.778542674",
      "0.980365817"
    ],
    [
      "0.692843639",
      "0.117168604"
    ],
    [
      "0.458365278",
      "0.559419201"
    ],
    [
      "0.332659206",
      "0.788204536"
    ],
    [
      "0.79656747",
      "1.1175625"
    ],
    [
      "0.337446608",
      "1.014225864"
    ],
    [
      "0.179757486",
      "0.551765551"
    ],
    [
      "0.864207908",
      "1.22919116"
    ],
    [
      "1.51496104",
      "0.989425658"
    ],
    [
      "0.405087047",
      "1.125854524"
    ],
    [
      "0.783254704",
      "0.438869323"
    ],
    [
      "0.125303825",
      "0.670411144"
    ],
    [
      "0.271399313",
      "0.414442708"
    ],
    [
      "1.878362084",
      "1.319712922"
    ],
    [
      "1.115620053",
      "0.771620488"
    ],
    [
      "1.726491126",
      "1.100060525"
    ],
    [
      "1.188047893",
      "1.109270476"
    ],
    [
      "1.384512856",
      "0.993836787"
    ],
    [
      "0.280347595",
      "1.367968727"
    ],
    [
      "0.670861398",
      "1.346347836"
    ],
    [
      "0.743329353",
      "1.684019855"
    ],
    [
      "1.567849012",
      "0.424500481"
    ],
    [
      "1.042483721",
      "0.181922524"
    ],
    [
      "0.593646155",
      "0.78267652"
    ],
    [
      "1.856917159",
      "0.626597689"
    ],
    [
      "0.58838144",
      "0.298157738"
    ],
    [
      "0.608823365",
      "1.848950613"
    ],
    [
      "1.497434124",
      "1.791388397"
    ],
    [
      "1.749730079",
      "1.341848727"
    ],
    [
      "1.100716877",
      "0.316936035"
    ],
    [
      "0.985126578",
      "0.774384496"
    ],
    [
      "0.330282155",
      "1.488561954"
    ],
    [
      "1.001617699",
      "1.707801229"
    ],
    [
      "1.708768655",
      "0.870058189"
    ],
    [
      "1.057554419",
      "1.112034484"
    ],
    [
      "1.30639156",
      "0.429675755"
    ],
    [
      "1.205500972",
      "1.784742092"
    ],
    [
      "0.206993188",
      "1.018479308"
    ],
    [
      "0.980339176",
      "0.548363168"
    ],
    [
      "0.342234011",
      "1.240247192"
    ],
    [
      "0.715624201",
      "0.327234643"
    ],
    [
      "1.062341821",
      "1.338055811"
    ],
    [
      "1.36694065",
      "1.794152405"
    ],
    [
      "1.655360082",
      "1.209498001"
    ],
    [
      "0.530793119",
      "0.897069188"
    ],
    [
      "0.617502843",
      "1.718716772"
    ],
    [
      "1.530077213",
      "1.665013497"
    ],
    [
      "0.461213272",
      "0.236164177"
    ],
    [
      "0.598433557",
      "1.008697848"
    ],
    [
      "1.153312134",
      "1.92208009"
    ],
    [
      "1.113055411",
      "0.072123512"
    ],
    [
      "1.242995367",
      "0.543768302"
    ],
    [
      "0.494382551",
      "1.786185283"
    ],
    [
      "1.462637173",
      "0.187778879"
    ],
    [
      "0.791780068",
      "0.891541172"
    ],
    [
      "1.269095069",
      "1.670759737"
    ],
    [
      "1.45274706",
      "1.105692594"
    ],
    [
      "1.374031999",
      "0.541304415"
    ],
    [
      "1.500206616",
      "0.312777774"
    ],
    [
      "1.06716836",
      "1.564053415"
    ],
    [
      "1.914333244",
      "1.194244749"
    ],
    [
      "1.43735358",
      "0.427170442"
    ],
    [
      "0.873822827",
      "1.681255846"
    ],
    [
      "1.125194857",
      "1.223663144"
    ],
    [
      "1.630702048",
      "0.310107813"
    ],
    [
      "1.770100159",
      "0.753099435"
    ],
    [
      "1.65779867",
      "0.519079791"
    ],
    [
      "1.047979614",
      "0.659991828"
    ],
    [
      "0.719352227",
      "0.553891184"
    ],
    [
      "1.726441279",
      "0.63009501"
    ],
    [
      "1.180142331",
      "0.65816097"
    ],
    [
      "0.092757333",
      "0.955341712"
    ],
    [
      "0.60322096",
      "1.234719176"
    ],
    [
      "1.639724414",
      "0.759292312"
    ],
    [
      "1.933647938",
      "0.954857658"
    ],
    [
      "1.596065534",
      "0.636287887"
    ],
    [
      "1.524988539",
      "1.215778709"
    ],
    [
      "0.400299644",
      "0.899833196"
    ],
    [
      "0.785924491",
      "0.208668012"
    ],
    [
      "0.922273542",
      "0.888777164"
    ],
    [
      "1.241201605",
      "0.096917452"
    ],
    [
      "0.549862405",
      "1.607088113"
    ],
    [
      "1.507622986",
      "0.540297771"
    ],
    [
      "1.378276243",
      "0.767025622"
    ],
    [
      "0.360067563",
      "0.318661039"
    ],
    [
      "1.441672437",
      "0.652933075"
    ],
    [
      "1.044861454",
      "0.43490365"
    ],
    [
      "0.472727485",
      "1.237483184"
    ],
    [
      "1.578352438",
      "0.875330446"
    ],
    [
      "1.323367907",
      "1.332504071"
    ],
    [
      "1.592908674",
      "1.549742018"
    ],
    [
      "0.409874449",
      "1.351875852"
    ],
    [
      "0.666073996",
      "1.120326508"
    ],
    [
      "1.445916798",
      "0.878659782"
    ],
    [
      "1.332143699",
      "0.190542887"
    ],
    [
      "1.796550033",
      "0.510873894"
    ],
    [
      "0.08173476",
      "0.825285226"
    ],
    [
      "1.331756716",
      "1.556262118"
    ],
    [
      "0.608009317",
      "1.460785783"
    ],
    [
      "0.572864291",
      "0.168560652"
    ],
    [
      "0.199718125",
      "1.482962849"
    ],
    [
      "0.948582518",
      "1.827063361"
    ],
    [
      "1.53369647",
      "1.433423053"
    ],
    [
      "1.678594453",
      "1.451283225"
    ],
    [
      "0.398682797",
      "0.443340831"
    ],
    [
      "0.395512242",
      "0.673811868"
    ],
    [
      "1.399583739",
      "1.667777505"
    ],
    [
      "1.247782769",
      "0.76978963"
    ],
    [
      "0.463152681",
      "0.785440528"
    ],
    [
      "1.457462788",
      "1.327476782"
    ],
    [
      "1.839184873",
      "0.864785931"
    ],
    [
      "0.972570683",
      "0.292142095"
    ],
    [
      "0.861677271",
      "1.924447471"
    ],
    [
      "1.720651706",
      "0.404687123"
    ],
    [
      "0.859420506",
      "1.003169832"
    ],
    [
      "0.477514888",
      "1.463504511"
    ],
    [
      "1.660549113",
      "1.661370677"
    ],
    [
      "1.310635805",
      "0.655396962"
    ],
    [
      "0.069015145",
      "1.08368693"
    ],
    [
      "1.192874432",
      "1.335268079"
    ],
    [
      "0.5255208",
      "0.412546227"
    ],
    [
      "0.936675863",
      "1.566863179"
    ],
    [
      "0.846117921",
      "0.32448225"
    ],
    [
      "1.584735058",
      "1.099733287"
    ],
    [
      "1.183260491",
      "0.883249148"
    ],
    [
      "0.806182389",
      "1.569627187"
    ],
    [
      "1.280258455",
      "1.891735107"
    ],
    [
      "1.817370517",
      "1.453477387"
    ],
    [
      "0.254766439",
      "0.896658426"
    ],
    [
      "0.263533745",
      "1.136120083"
    ],
    [
      "0.927060944",
      "1.114798492"
    ],
    [
      "1.386220943",
      "1.218111403"
    ],
    [
      "1.052767016",
      "0.886013156"
    ],
    [
      "0.661286593",
      "0.89430518"
    ],
    [
      "0.999488785",
      "1.452448479"
    ],
    [
      "0.730891375",
      "1.895163031"
    ],
    [
      "1.260514871",
      "1.446896739"
    ],
    [
      "0.931848347",
      "1.340819819"
    ],
    [
      "0.849845701",
      "0.551127176"
    ],
    [
      "1.873005738",
      "1.070437545"
    ],
    [
      "0.212707157",
      "1.256340067"
    ],
    [
      "1.369713142",
      "0.315541782"
    ],
    [
      "1.250900929",
      "0.994877808"
    ],
    [
      "0.421859154",
      "1.581566469"
    ],
    [
      "1.900576039",
      "0.749602115"
    ],
    [
      "1.509308196",
      "0.76456457"
    ],
    [
      "1.619382249",
      "1.33496426"
    ],
    [
      "0.588850179",
      "0.556225344"
    ],
    [
      "1.318580504",
      "1.106482744"
    ],
    [
      "0.801354872",
      "1.343583827"
    ],
    [
      "0.535580521",
      "1.123090516"
    ],
    [
      "0.724139629",
      "0.779912512"
    ],
    [
      "1.255727468",
      "1.220875412"
    ],
    [
      "0.868995311",
      "1.455212487"
    ],
    [
      "1.23920943",
      "0.31777067"
    ],
    [
      "0.786992665",
      "0.665519844"
    ],
    [
      "0.65276123",
      "0.441633331"
    ],
    [
      "0.089748511",
      "1.212552419"
    ],
    [
      "0.140223369",
      "1.366761576"
    ],
    [
      "0.202687179",
      "0.776227108"
    ],
    [
      "0.733714434",
      "1.231955168"
    ],
    [
      "1.02315169",
      "1.934395703"
    ],
    [
      "1.170629915",
      "0.206716464"
    ],
    [
      "0.728927032",
      "1.00593384"
    ],
    [
      "0.91748614",
      "0.662755836"
    ],
    [
      "0.389800311",
      "1.708090843"
    ],
    [
      "1.746234891",
      "1.562911885"
    ],
    [
      "0.310014547",
      "0.539122499"
    ],
    [
      "0.994701383",
      "1.226427152"
    ],
    [
      "0.98991398",
      "1.000405824"
    ],
    [
      "1.648126456",
      "0.985638075"
    ],
    [
      "0.540367924",
      "1.349111844"
    ],
    [
      "1.462436775",
      "1.553384837"
    ],
    [
      "1.394609752",
      "1.44186945"
    ],
    [
      "0.820180464",
      "0.082720742"
    ],
    [
      "1.175567726",
      "0.431749365"
    ],
    [
      "0.738501836",
      "1.457976495"
    ],
    [
      "1.120407455",
      "0.997641816"
    ],
    [
      "0.982586745",
      "0.065439108"
    ],
    [
      "0.91434149",
      "0.435755477"
    ],
    [
      "1.130021396",
      "1.449660747"
    ],
    [
      "0.295526381",
      "1.614372219"
    ],
    [
      "0.854633104",
      "0.777148504"
    ],
    [
      "0.265540215",
      "0.66183444"
    ]
  ],
  "radius": "0.065261371"
}

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?