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 = 242

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 = 242
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[0.0589598005650819253264791321645, 0.0589598005650819253264791321655]见来源署名packomania.com ↗
本站纪录0.058959800Ἀθηνᾶ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 = 0.058959800

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 = 242 的当前纪录构型,0.058959800
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
    0.058959799→0.058959800
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": [
    [
      "1.515260421",
      "1.021859977"
    ],
    [
      "1.776656860",
      "1.531376307"
    ],
    [
      "1.906686138",
      "0.748053766"
    ],
    [
      "1.177310123",
      "0.634580735"
    ],
    [
      "1.418105502",
      "1.088687771"
    ],
    [
      "1.158715907",
      "0.399475686"
    ],
    [
      "1.293059259",
      "0.802857991"
    ],
    [
      "1.484364776",
      "1.806813126"
    ],
    [
      "1.399511286",
      "0.853582722"
    ],
    [
      "1.205201448",
      "0.987238310"
    ],
    [
      "1.057377151",
      "1.708656523"
    ],
    [
      "0.719396089",
      "1.321441896"
    ],
    [
      "0.372148684",
      "0.816610130"
    ],
    [
      "1.524557529",
      "1.139412502"
    ],
    [
      "0.274993765",
      "0.883437924"
    ],
    [
      "1.302356367",
      "0.920410516"
    ],
    [
      "0.858624963",
      "0.347785900"
    ],
    [
      "0.319652175",
      "1.650141133"
    ],
    [
      "0.867251151",
      "0.599959069"
    ],
    [
      "0.853357614",
      "1.724853770"
    ],
    [
      "0.525086252",
      "1.455097485"
    ],
    [
      "0.302019457",
      "0.368826634"
    ],
    [
      "0.540519638",
      "1.821239584"
    ],
    [
      "0.418634225",
      "1.404372754"
    ],
    [
      "1.330247691",
      "1.273068091"
    ],
    [
      "1.427402610",
      "1.206240296"
    ],
    [
      "0.980448281",
      "0.059162933"
    ],
    [
      "1.089452313",
      "0.818961055"
    ],
    [
      "0.190882161",
      "1.199212220"
    ],
    [
      "1.070858097",
      "0.583856005"
    ],
    [
      "0.747582368",
      "0.093444984"
    ],
    [
      "0.278557365",
      "1.119982787"
    ],
    [
      "0.415099230",
      "0.402263100"
    ],
    [
      "0.638425879",
      "1.627899339"
    ],
    [
      "0.538450699",
      "0.435848726"
    ],
    [
      "0.876092202",
      "1.898532018"
    ],
    [
      "0.607123891",
      "0.269357127"
    ],
    [
      "0.312182198",
      "1.353648024"
    ],
    [
      "0.063010212",
      "0.912783062"
    ],
    [
      "1.931076515",
      "0.863423354"
    ],
    [
      "1.164195699",
      "1.762999769"
    ],
    [
      "0.825965043",
      "0.227103301"
    ],
    [
      "0.862939259",
      "0.068994624"
    ],
    [
      "0.728693197",
      "1.438994421"
    ],
    [
      "1.455650998",
      "1.559415014"
    ],
    [
      "1.283762150",
      "0.685305466"
    ],
    [
      "0.876548259",
      "0.717511594"
    ],
    [
      "1.001594502",
      "1.003341374"
    ],
    [
      "1.364305200",
      "0.379026925"
    ],
    [
      "1.481847950",
      "0.191760168"
    ],
    [
      "0.437089639",
      "1.639488699"
    ],
    [
      "0.390742900",
      "1.051715180"
    ],
    [
      "1.476761157",
      "0.316448503"
    ],
    [
      "1.505963312",
      "0.904307452"
    ],
    [
      "1.725101930",
      "0.400180153"
    ],
    [
      "1.052263880",
      "0.348750955"
    ],
    [
      "0.923033800",
      "1.305274218"
    ],
    [
      "1.830787993",
      "0.938605168"
    ],
    [
      "1.029485827",
      "1.355998949"
    ],
    [
      "1.814666628",
      "0.821792780"
    ],
    [
      "0.943017631",
      "1.801444329"
    ],
    [
      "0.600798517",
      "0.147829341"
    ],
    [
      "1.583417966",
      "1.738305179"
    ],
    [
      "1.058228654",
      "1.826573050"
    ],
    [
      "1.135937854",
      "1.406723679"
    ],
    [
      "0.180810047",
      "0.536875311"
    ],
    [
      "0.932330908",
      "1.422826743"
    ],
    [
      "1.010891610",
      "1.120893899"
    ],
    [
      "1.575226907",
      "0.484822083"
    ],
    [
      "0.450709386",
      "0.514677286"
    ],
    [
      "0.964406070",
      "0.533131274"
    ],
    [
      "1.098264304",
      "0.064104288"
    ],
    [
      "0.534244557",
      "1.572660905"
    ],
    [
      "1.584524015",
      "0.602374608"
    ],
    [
      "1.610523430",
      "0.372309027"
    ],
    [
      "1.339544799",
      "1.390620615"
    ],
    [
      "1.051971308",
      "0.211530695"
    ],
    [
      "1.366024714",
      "0.133061383"
    ],
    [
      "0.603646954",
      "1.153164641"
    ],
    [
      "1.478071988",
      "0.551649877"
    ],
    [
      "1.882882777",
      "1.204107869"
    ],
    [
      "1.220059601",
      "1.914948320"
    ],
    [
      "0.162207116",
      "0.849025658"
    ],
    [
      "0.950730026",
      "1.658343274"
    ],
    [
      "0.760768359",
      "0.549298952"
    ],
    [
      "1.379660739",
      "1.861054226"
    ],
    [
      "0.194656661",
      "1.344015754"
    ],
    [
      "0.700801873",
      "1.086336846"
    ],
    [
      "0.816551008",
      "1.254614102"
    ],
    [
      "1.436699718",
      "1.323792821"
    ],
    [
      "0.807253900",
      "1.137061577"
    ],
    [
      "0.710098981",
      "1.203889371"
    ],
    [
      "1.168013015",
      "0.517028211"
    ],
    [
      "1.612415339",
      "0.955032183"
    ],
    [
      "0.622241170",
      "1.388269690"
    ],
    [
      "0.672910548",
      "0.733679272"
    ],
    [
      "0.691504765",
      "0.968784321"
    ],
    [
      "0.788659683",
      "0.901956527"
    ],
    [
      "0.857954043",
      "0.482406544"
    ],
    [
      "0.400040008",
      "1.169267704"
    ],
    [
      "0.427792530",
      "1.521936174"
    ],
    [
      "1.837014051",
      "1.430074570"
    ],
    [
      "0.885845367",
      "0.835064118"
    ],
    [
      "0.542004843",
      "1.695781709"
    ],
    [
      "1.154532070",
      "1.641828729"
    ],
    [
      "0.645019224",
      "0.381021697"
    ],
    [
      "0.515789144",
      "1.337544960"
    ],
    [
      "0.751471251",
      "0.431746428"
    ],
    [
      "0.302885090",
      "1.236095499"
    ],
    [
      "0.478600711",
      "0.867334860"
    ],
    [
      "1.390214177",
      "0.736030197"
    ],
    [
      "1.274465042",
      "0.567752941"
    ],
    [
      "0.779362575",
      "0.784404002"
    ],
    [
      "0.352413386",
      "0.583972632"
    ],
    [
      "1.825785380",
      "1.056418606"
    ],
    [
      "1.266583207",
      "0.215215880"
    ],
    [
      "0.287093226",
      "0.485797741"
    ],
    [
      "0.758690811",
      "1.909574918"
    ],
    [
      "0.497194927",
      "1.102439910"
    ],
    [
      "0.460006495",
      "0.632229810"
    ],
    [
      "1.593821123",
      "0.719927133"
    ],
    [
      "1.716698045",
      "0.887421959"
    ],
    [
      "0.469303603",
      "0.749782335"
    ],
    [
      "0.497358886",
      "0.204444491"
    ],
    [
      "1.160131180",
      "0.164491150"
    ],
    [
      "0.770065467",
      "0.666851477"
    ],
    [
      "0.941628016",
      "1.540379268"
    ],
    [
      "1.195904340",
      "0.869685785"
    ],
    [
      "1.468774880",
      "0.434097353"
    ],
    [
      "0.072359321",
      "1.158141484"
    ],
    [
      "0.992297394",
      "0.885788849"
    ],
    [
      "0.835145224",
      "1.489719152"
    ],
    [
      "1.273457069",
      "1.809811539"
    ],
    [
      "0.164472917",
      "1.084287966"
    ],
    [
      "1.719075596",
      "1.005317589"
    ],
    [
      "1.671237830",
      "1.659481624"
    ],
    [
      "0.913736692",
      "1.187721693"
    ],
    [
      "0.986122996",
      "1.940937876"
    ],
    [
      "1.475563199",
      "1.689222461"
    ],
    [
      "1.255870826",
      "0.332647891"
    ],
    [
      "1.358139016",
      "1.625725665"
    ],
    [
      "0.631513644",
      "1.505873901"
    ],
    [
      "1.851271078",
      "0.598883797"
    ],
    [
      "0.248478914",
      "0.768461829"
    ],
    [
      "1.145234962",
      "1.524276204"
    ],
    [
      "1.254730380",
      "0.094092118"
    ],
    [
      "0.844444042",
      "1.607271541"
    ],
    [
      "1.370611988",
      "1.742983745"
    ],
    [
      "0.930208264",
      "0.165844576"
    ],
    [
      "1.186607232",
      "0.752133260"
    ],
    [
      "0.797956792",
      "1.019509052"
    ],
    [
      "1.080155205",
      "0.701408530"
    ],
    [
      "0.594349846",
      "1.035612116"
    ],
    [
      "1.579486421",
      "0.258547274"
    ],
    [
      "1.658546228",
      "1.424188260"
    ],
    [
      "0.746905585",
      "1.674129046"
    ],
    [
      "1.251686989",
      "1.575000935"
    ],
    [
      "1.098749421",
      "0.936513580"
    ],
    [
      "0.737990306",
      "1.556546946"
    ],
    [
      "1.768728660",
      "1.233669162"
    ],
    [
      "0.644344390",
      "1.754361990"
    ],
    [
      "0.243685949",
      "1.559951528"
    ],
    [
      "1.794423533",
      "0.495571702"
    ],
    [
      "1.149418799",
      "0.281923161"
    ],
    [
      "1.242389881",
      "1.457448410"
    ],
    [
      "0.247091505",
      "0.637004073"
    ],
    [
      "1.728372704",
      "1.122870114"
    ],
    [
      "1.061560988",
      "0.466303480"
    ],
    [
      "0.091506224",
      "0.754651846"
    ],
    [
      "1.692007370",
      "0.650875749"
    ],
    [
      "0.129322435",
      "0.642960457"
    ],
    [
      "1.750319411",
      "1.350142901"
    ],
    [
      "1.884228427",
      "1.322019792"
    ],
    [
      "0.955108961",
      "0.415578749"
    ],
    [
      "1.320950583",
      "1.155515566"
    ],
    [
      "1.552448853",
      "1.492070077"
    ],
    [
      "0.506492035",
      "1.219992435"
    ],
    [
      "1.682710262",
      "0.533323224"
    ],
    [
      "1.631494137",
      "1.190097902"
    ],
    [
      "1.260984097",
      "1.692553460"
    ],
    [
      "0.955779882",
      "0.280958106"
    ],
    [
      "1.543154047",
      "1.374517370"
    ],
    [
      "0.284290873",
      "1.000990449"
    ],
    [
      "0.654316332",
      "0.498574222"
    ],
    [
      "0.501748598",
      "0.322282357"
    ],
    [
      "1.223795664",
      "1.222343360"
    ],
    [
      "0.059459047",
      "1.030649179"
    ],
    [
      "1.379179835",
      "0.250244894"
    ],
    [
      "0.409337117",
      "1.286820229"
    ],
    [
      "1.700273150",
      "0.770651864"
    ],
    [
      "1.445996826",
      "1.441345346"
    ],
    [
      "1.940847106",
      "0.980937472"
    ],
    [
      "0.585052738",
      "0.918059591"
    ],
    [
      "0.321340504",
      "1.471211444"
    ],
    [
      "0.557161413",
      "0.565402016"
    ],
    [
      "0.745658016",
      "0.313970205"
    ],
    [
      "0.171504224",
      "0.966578183"
    ],
    [
      "1.562505343",
      "1.609560073"
    ],
    [
      "1.214498556",
      "1.104790835"
    ],
    [
      "1.496666204",
      "0.786754927"
    ],
    [
      "1.126640746",
      "1.289171154"
    ],
    [
      "0.345679021",
      "0.701699777"
    ],
    [
      "1.233092772",
      "1.339895885"
    ],
    [
      "1.640307657",
      "1.307687673"
    ],
    [
      "1.117343637",
      "1.171618629"
    ],
    [
      "1.038782935",
      "1.473551473"
    ],
    [
      "1.935844493",
      "1.098750910"
    ],
    [
      "1.408808394",
      "0.971135246"
    ],
    [
      "0.441421546",
      "1.757328705"
    ],
    [
      "1.103907074",
      "1.935286040"
    ],
    [
      "0.983000286",
      "0.768236324"
    ],
    [
      "0.646832502",
      "1.872255338"
    ],
    [
      "1.603118231",
      "0.837479658"
    ],
    [
      "0.756202699",
      "1.791681570"
    ],
    [
      "0.904439584",
      "1.070169168"
    ],
    [
      "1.533854637",
      "1.256965027"
    ],
    [
      "0.704833468",
      "0.203342954"
    ],
    [
      "1.048080043",
      "1.591103998"
    ],
    [
      "1.108046529",
      "1.054066104"
    ],
    [
      "1.371619961",
      "0.500925147"
    ],
    [
      "0.487897819",
      "0.984887385"
    ],
    [
      "1.487369096",
      "0.669202402"
    ],
    [
      "0.895142475",
      "0.952616643"
    ],
    [
      "1.659226420",
      "1.542105900"
    ],
    [
      "0.099744818",
      "1.274038799"
    ],
    [
      "1.311653475",
      "1.037963041"
    ],
    [
      "1.348841908",
      "1.508173140"
    ],
    [
      "1.020188719",
      "1.238446424"
    ],
    [
      "0.381445792",
      "0.934162655"
    ],
    [
      "1.265167934",
      "0.450200416"
    ],
    [
      "1.797395113",
      "0.703776183"
    ],
    [
      "0.179595386",
      "1.460969550"
    ],
    [
      "0.566458521",
      "0.682954541"
    ],
    [
      "0.663613440",
      "0.616126747"
    ],
    [
      "1.380917069",
      "0.618477672"
    ],
    [
      "0.682207657",
      "0.851231797"
    ],
    [
      "0.973703178",
      "0.650683799"
    ],
    [
      "0.612944062",
      "1.270717166"
    ],
    [
      "0.390578313",
      "0.282960607"
    ],
    [
      "0.575755630",
      "0.800507066"
    ],
    [
      "1.621712448",
      "1.072584708"
    ],
    [
      "0.825848116",
      "1.372166627"
    ]
  ],
  "radius": "0.058959800"
}
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": 242
}

当前第一名的答案

{
  "centers": [
    [
      "1.515260421",
      "1.021859977"
    ],
    [
      "1.776656860",
      "1.531376307"
    ],
    [
      "1.906686138",
      "0.748053766"
    ],
    [
      "1.177310123",
      "0.634580735"
    ],
    [
      "1.418105502",
      "1.088687771"
    ],
    [
      "1.158715907",
      "0.399475686"
    ],
    [
      "1.293059259",
      "0.802857991"
    ],
    [
      "1.484364776",
      "1.806813126"
    ],
    [
      "1.399511286",
      "0.853582722"
    ],
    [
      "1.205201448",
      "0.987238310"
    ],
    [
      "1.057377151",
      "1.708656523"
    ],
    [
      "0.719396089",
      "1.321441896"
    ],
    [
      "0.372148684",
      "0.816610130"
    ],
    [
      "1.524557529",
      "1.139412502"
    ],
    [
      "0.274993765",
      "0.883437924"
    ],
    [
      "1.302356367",
      "0.920410516"
    ],
    [
      "0.858624963",
      "0.347785900"
    ],
    [
      "0.319652175",
      "1.650141133"
    ],
    [
      "0.867251151",
      "0.599959069"
    ],
    [
      "0.853357614",
      "1.724853770"
    ],
    [
      "0.525086252",
      "1.455097485"
    ],
    [
      "0.302019457",
      "0.368826634"
    ],
    [
      "0.540519638",
      "1.821239584"
    ],
    [
      "0.418634225",
      "1.404372754"
    ],
    [
      "1.330247691",
      "1.273068091"
    ],
    [
      "1.427402610",
      "1.206240296"
    ],
    [
      "0.980448281",
      "0.059162933"
    ],
    [
      "1.089452313",
      "0.818961055"
    ],
    [
      "0.190882161",
      "1.199212220"
    ],
    [
      "1.070858097",
      "0.583856005"
    ],
    [
      "0.747582368",
      "0.093444984"
    ],
    [
      "0.278557365",
      "1.119982787"
    ],
    [
      "0.415099230",
      "0.402263100"
    ],
    [
      "0.638425879",
      "1.627899339"
    ],
    [
      "0.538450699",
      "0.435848726"
    ],
    [
      "0.876092202",
      "1.898532018"
    ],
    [
      "0.607123891",
      "0.269357127"
    ],
    [
      "0.312182198",
      "1.353648024"
    ],
    [
      "0.063010212",
      "0.912783062"
    ],
    [
      "1.931076515",
      "0.863423354"
    ],
    [
      "1.164195699",
      "1.762999769"
    ],
    [
      "0.825965043",
      "0.227103301"
    ],
    [
      "0.862939259",
      "0.068994624"
    ],
    [
      "0.728693197",
      "1.438994421"
    ],
    [
      "1.455650998",
      "1.559415014"
    ],
    [
      "1.283762150",
      "0.685305466"
    ],
    [
      "0.876548259",
      "0.717511594"
    ],
    [
      "1.001594502",
      "1.003341374"
    ],
    [
      "1.364305200",
      "0.379026925"
    ],
    [
      "1.481847950",
      "0.191760168"
    ],
    [
      "0.437089639",
      "1.639488699"
    ],
    [
      "0.390742900",
      "1.051715180"
    ],
    [
      "1.476761157",
      "0.316448503"
    ],
    [
      "1.505963312",
      "0.904307452"
    ],
    [
      "1.725101930",
      "0.400180153"
    ],
    [
      "1.052263880",
      "0.348750955"
    ],
    [
      "0.923033800",
      "1.305274218"
    ],
    [
      "1.830787993",
      "0.938605168"
    ],
    [
      "1.029485827",
      "1.355998949"
    ],
    [
      "1.814666628",
      "0.821792780"
    ],
    [
      "0.943017631",
      "1.801444329"
    ],
    [
      "0.600798517",
      "0.147829341"
    ],
    [
      "1.583417966",
      "1.738305179"
    ],
    [
      "1.058228654",
      "1.826573050"
    ],
    [
      "1.135937854",
      "1.406723679"
    ],
    [
      "0.180810047",
      "0.536875311"
    ],
    [
      "0.932330908",
      "1.422826743"
    ],
    [
      "1.010891610",
      "1.120893899"
    ],
    [
      "1.575226907",
      "0.484822083"
    ],
    [
      "0.450709386",
      "0.514677286"
    ],
    [
      "0.964406070",
      "0.533131274"
    ],
    [
      "1.098264304",
      "0.064104288"
    ],
    [
      "0.534244557",
      "1.572660905"
    ],
    [
      "1.584524015",
      "0.602374608"
    ],
    [
      "1.610523430",
      "0.372309027"
    ],
    [
      "1.339544799",
      "1.390620615"
    ],
    [
      "1.051971308",
      "0.211530695"
    ],
    [
      "1.366024714",
      "0.133061383"
    ],
    [
      "0.603646954",
      "1.153164641"
    ],
    [
      "1.478071988",
      "0.551649877"
    ],
    [
      "1.882882777",
      "1.204107869"
    ],
    [
      "1.220059601",
      "1.914948320"
    ],
    [
      "0.162207116",
      "0.849025658"
    ],
    [
      "0.950730026",
      "1.658343274"
    ],
    [
      "0.760768359",
      "0.549298952"
    ],
    [
      "1.379660739",
      "1.861054226"
    ],
    [
      "0.194656661",
      "1.344015754"
    ],
    [
      "0.700801873",
      "1.086336846"
    ],
    [
      "0.816551008",
      "1.254614102"
    ],
    [
      "1.436699718",
      "1.323792821"
    ],
    [
      "0.807253900",
      "1.137061577"
    ],
    [
      "0.710098981",
      "1.203889371"
    ],
    [
      "1.168013015",
      "0.517028211"
    ],
    [
      "1.612415339",
      "0.955032183"
    ],
    [
      "0.622241170",
      "1.388269690"
    ],
    [
      "0.672910548",
      "0.733679272"
    ],
    [
      "0.691504765",
      "0.968784321"
    ],
    [
      "0.788659683",
      "0.901956527"
    ],
    [
      "0.857954043",
      "0.482406544"
    ],
    [
      "0.400040008",
      "1.169267704"
    ],
    [
      "0.427792530",
      "1.521936174"
    ],
    [
      "1.837014051",
      "1.430074570"
    ],
    [
      "0.885845367",
      "0.835064118"
    ],
    [
      "0.542004843",
      "1.695781709"
    ],
    [
      "1.154532070",
      "1.641828729"
    ],
    [
      "0.645019224",
      "0.381021697"
    ],
    [
      "0.515789144",
      "1.337544960"
    ],
    [
      "0.751471251",
      "0.431746428"
    ],
    [
      "0.302885090",
      "1.236095499"
    ],
    [
      "0.478600711",
      "0.867334860"
    ],
    [
      "1.390214177",
      "0.736030197"
    ],
    [
      "1.274465042",
      "0.567752941"
    ],
    [
      "0.779362575",
      "0.784404002"
    ],
    [
      "0.352413386",
      "0.583972632"
    ],
    [
      "1.825785380",
      "1.056418606"
    ],
    [
      "1.266583207",
      "0.215215880"
    ],
    [
      "0.287093226",
      "0.485797741"
    ],
    [
      "0.758690811",
      "1.909574918"
    ],
    [
      "0.497194927",
      "1.102439910"
    ],
    [
      "0.460006495",
      "0.632229810"
    ],
    [
      "1.593821123",
      "0.719927133"
    ],
    [
      "1.716698045",
      "0.887421959"
    ],
    [
      "0.469303603",
      "0.749782335"
    ],
    [
      "0.497358886",
      "0.204444491"
    ],
    [
      "1.160131180",
      "0.164491150"
    ],
    [
      "0.770065467",
      "0.666851477"
    ],
    [
      "0.941628016",
      "1.540379268"
    ],
    [
      "1.195904340",
      "0.869685785"
    ],
    [
      "1.468774880",
      "0.434097353"
    ],
    [
      "0.072359321",
      "1.158141484"
    ],
    [
      "0.992297394",
      "0.885788849"
    ],
    [
      "0.835145224",
      "1.489719152"
    ],
    [
      "1.273457069",
      "1.809811539"
    ],
    [
      "0.164472917",
      "1.084287966"
    ],
    [
      "1.719075596",
      "1.005317589"
    ],
    [
      "1.671237830",
      "1.659481624"
    ],
    [
      "0.913736692",
      "1.187721693"
    ],
    [
      "0.986122996",
      "1.940937876"
    ],
    [
      "1.475563199",
      "1.689222461"
    ],
    [
      "1.255870826",
      "0.332647891"
    ],
    [
      "1.358139016",
      "1.625725665"
    ],
    [
      "0.631513644",
      "1.505873901"
    ],
    [
      "1.851271078",
      "0.598883797"
    ],
    [
      "0.248478914",
      "0.768461829"
    ],
    [
      "1.145234962",
      "1.524276204"
    ],
    [
      "1.254730380",
      "0.094092118"
    ],
    [
      "0.844444042",
      "1.607271541"
    ],
    [
      "1.370611988",
      "1.742983745"
    ],
    [
      "0.930208264",
      "0.165844576"
    ],
    [
      "1.186607232",
      "0.752133260"
    ],
    [
      "0.797956792",
      "1.019509052"
    ],
    [
      "1.080155205",
      "0.701408530"
    ],
    [
      "0.594349846",
      "1.035612116"
    ],
    [
      "1.579486421",
      "0.258547274"
    ],
    [
      "1.658546228",
      "1.424188260"
    ],
    [
      "0.746905585",
      "1.674129046"
    ],
    [
      "1.251686989",
      "1.575000935"
    ],
    [
      "1.098749421",
      "0.936513580"
    ],
    [
      "0.737990306",
      "1.556546946"
    ],
    [
      "1.768728660",
      "1.233669162"
    ],
    [
      "0.644344390",
      "1.754361990"
    ],
    [
      "0.243685949",
      "1.559951528"
    ],
    [
      "1.794423533",
      "0.495571702"
    ],
    [
      "1.149418799",
      "0.281923161"
    ],
    [
      "1.242389881",
      "1.457448410"
    ],
    [
      "0.247091505",
      "0.637004073"
    ],
    [
      "1.728372704",
      "1.122870114"
    ],
    [
      "1.061560988",
      "0.466303480"
    ],
    [
      "0.091506224",
      "0.754651846"
    ],
    [
      "1.692007370",
      "0.650875749"
    ],
    [
      "0.129322435",
      "0.642960457"
    ],
    [
      "1.750319411",
      "1.350142901"
    ],
    [
      "1.884228427",
      "1.322019792"
    ],
    [
      "0.955108961",
      "0.415578749"
    ],
    [
      "1.320950583",
      "1.155515566"
    ],
    [
      "1.552448853",
      "1.492070077"
    ],
    [
      "0.506492035",
      "1.219992435"
    ],
    [
      "1.682710262",
      "0.533323224"
    ],
    [
      "1.631494137",
      "1.190097902"
    ],
    [
      "1.260984097",
      "1.692553460"
    ],
    [
      "0.955779882",
      "0.280958106"
    ],
    [
      "1.543154047",
      "1.374517370"
    ],
    [
      "0.284290873",
      "1.000990449"
    ],
    [
      "0.654316332",
      "0.498574222"
    ],
    [
      "0.501748598",
      "0.322282357"
    ],
    [
      "1.223795664",
      "1.222343360"
    ],
    [
      "0.059459047",
      "1.030649179"
    ],
    [
      "1.379179835",
      "0.250244894"
    ],
    [
      "0.409337117",
      "1.286820229"
    ],
    [
      "1.700273150",
      "0.770651864"
    ],
    [
      "1.445996826",
      "1.441345346"
    ],
    [
      "1.940847106",
      "0.980937472"
    ],
    [
      "0.585052738",
      "0.918059591"
    ],
    [
      "0.321340504",
      "1.471211444"
    ],
    [
      "0.557161413",
      "0.565402016"
    ],
    [
      "0.745658016",
      "0.313970205"
    ],
    [
      "0.171504224",
      "0.966578183"
    ],
    [
      "1.562505343",
      "1.609560073"
    ],
    [
      "1.214498556",
      "1.104790835"
    ],
    [
      "1.496666204",
      "0.786754927"
    ],
    [
      "1.126640746",
      "1.289171154"
    ],
    [
      "0.345679021",
      "0.701699777"
    ],
    [
      "1.233092772",
      "1.339895885"
    ],
    [
      "1.640307657",
      "1.307687673"
    ],
    [
      "1.117343637",
      "1.171618629"
    ],
    [
      "1.038782935",
      "1.473551473"
    ],
    [
      "1.935844493",
      "1.098750910"
    ],
    [
      "1.408808394",
      "0.971135246"
    ],
    [
      "0.441421546",
      "1.757328705"
    ],
    [
      "1.103907074",
      "1.935286040"
    ],
    [
      "0.983000286",
      "0.768236324"
    ],
    [
      "0.646832502",
      "1.872255338"
    ],
    [
      "1.603118231",
      "0.837479658"
    ],
    [
      "0.756202699",
      "1.791681570"
    ],
    [
      "0.904439584",
      "1.070169168"
    ],
    [
      "1.533854637",
      "1.256965027"
    ],
    [
      "0.704833468",
      "0.203342954"
    ],
    [
      "1.048080043",
      "1.591103998"
    ],
    [
      "1.108046529",
      "1.054066104"
    ],
    [
      "1.371619961",
      "0.500925147"
    ],
    [
      "0.487897819",
      "0.984887385"
    ],
    [
      "1.487369096",
      "0.669202402"
    ],
    [
      "0.895142475",
      "0.952616643"
    ],
    [
      "1.659226420",
      "1.542105900"
    ],
    [
      "0.099744818",
      "1.274038799"
    ],
    [
      "1.311653475",
      "1.037963041"
    ],
    [
      "1.348841908",
      "1.508173140"
    ],
    [
      "1.020188719",
      "1.238446424"
    ],
    [
      "0.381445792",
      "0.934162655"
    ],
    [
      "1.265167934",
      "0.450200416"
    ],
    [
      "1.797395113",
      "0.703776183"
    ],
    [
      "0.179595386",
      "1.460969550"
    ],
    [
      "0.566458521",
      "0.682954541"
    ],
    [
      "0.663613440",
      "0.616126747"
    ],
    [
      "1.380917069",
      "0.618477672"
    ],
    [
      "0.682207657",
      "0.851231797"
    ],
    [
      "0.973703178",
      "0.650683799"
    ],
    [
      "0.612944062",
      "1.270717166"
    ],
    [
      "0.390578313",
      "0.282960607"
    ],
    [
      "0.575755630",
      "0.800507066"
    ],
    [
      "1.621712448",
      "1.072584708"
    ],
    [
      "0.825848116",
      "1.372166627"
    ]
  ],
  "radius": "0.058959800"
}

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?