P88 · Extremal configurations · Formed here · Hard

The sofa in winding hallways · three-corner staircase

Find a planar region of maximum area that can move continuously through a winding hallway of width 1 from its entry leg to its exit leg. Each instance specifies one hallway geometry.

Instancethree-corner staircase

ObjectiveMaximize the area of the sofa

Record comparison

the area of the sofa · Higher is better

Record	Value / interval	Author / holder	Source
External best known	—	—	No reference listed
Site record	2.745183875	zzzcy	Record details ↓

Formal definition

ContainerA closed set; boundary contact with the walls is permitted, while each wall interior is an open forbidden region. Zigzag: floor y < 0, left wall {x < 0, y < 1 + d}, inner corner quadrant {x > 1, y > 1}, and roof y > 2 + d. Double U-turn: floor y < 0, left wall {x < 0, y < 2 + 2t}, thin walls {x > 1, 1 < y < 1 + t} and {x < 1, 2 + t < y < 2 + 2t}, right wall {x > 2, y > 1}, and roof y > 3 + 2t, with t = 10⁻⁹. Staircase: floor y < 0, {x < 0, y < 1}, {x > 1, y > 1}, {x > 0, y > 2}, and {x < −1, y > 1}. Hairpin with a jog: floor y < 0, {x < 0, y < 1}, left wall x < −1, {x < 0, y > 4}, dividing wall {x > 1, 1 < y < 4} with lateral bulge {x > 0, 2 < y < 3}, and roof y > 5
SubmissionA simple polygon (at most 800 vertices in the sofa's local frame) and a sequence of consecutive placements (at most 1500), with vertices × placements ≤ 300,000
MotionBetween consecutive placements, the sofa moves by the unique rigid displacement connecting them: a pure translation when the turn values match, or (by Chasles' theorem) a single rotation of at most 90° about a fixed pivot
EndsThe first placement lies inside the lower entry leg with at least one vertex past x = 1 (past x = 2 for the double U-turn). The last placement: in the zigzag, inside the upper leg with a vertex at x < 0; in the double U-turn, inside the upper leg (x ≤ 2) with a vertex at x < 0; in the staircase, inside {−1 ≤ x ≤ 0, y ≥ 1} with a vertex at y > 2; in the hairpin with a jog, inside the upper leg (x ≥ 0) with a vertex at x > 1
Exact verificationEach placement's turn defines a rational rotation matrix and an exact pivot between consecutive placements. The region swept by each edge is represented by its exact boundary (a parallelogram for translations, or the two endpoint arcs, the inner envelope arc, and the initial and final segments for rotations) and checked against every open forbidden region using exact rational arithmetic and sign evaluation of a + b√D
ScoreThe polygon area, truncated down to nine decimal places; larger is better $A (S) = area (S)$
ObjectiveMaximise the area over all sofas that pass through the hallway without collision $\max_{S} A (S)$

Open full editor ↗

Layout shown: site record

VERIFIED CONSTRUCTIONsofa area 2.745183875

Getting a feel for it

Opposite turns and ambidextrous sofas

Whereas a hairpin's two turns have the same handedness so a one-sided Hammersley cutout suffices, a zigzag turns first one way and then the other, placing the inner corners on opposite sides of the sofa. The baseline construction uses an ambidextrous Hammersley shape: a 2r × 1 center rectangle with semicircular cutouts of radius r on both long sides, capped at each end by the lens formed by intersecting two unit quarter-discs. Because this shape stands vertically between the two turns, its length cannot exceed 2 + d; shorter straight runs d require smaller r, while for d ≥ 0.37 the baseline uses r = 1/π.

The other three composite hallways

The double U-turn is centrally symmetric about its middle leg and reverses turn direction between the two bends, while the middle leg has total length 2. The staircase chains right, left, and right turns with zero straight run between corners (its first two bends match the d = 0 zigzag). The hairpin with a jog narrows the middle of the vertical connector, forcing an ascending sofa to shift laterally by one unit through a 1 × 1 bottleneck. The catalogue supplies ambidextrous Hammersley baselines for the first two hallways and a unit square baseline for the jogged hairpin. These composite hallway geometries were inspired by the evolutionary sofa simulations in the Bilibili video series "69,000 Generations of a Sofa".

Source

Ambidextrous sofa constant and finite-run baselines

Romik (2018) derived an analytic ambidextrous sofa of area 1.64495521…, the largest known shape capable of turning both a left and a right 90° corner when the straight run between them tends to infinity (d → ∞). For finite run lengths d and for the other three composite hallways, no published benchmark values are available; the table entries are planner-generated, verifier-checked initial baselines (bylined MinMax Arena).

Source

LAYOUT & HISTORY

Record details

Inspect the layout, solver notes and record history.

Record holderzzzcy

Solution methodAI · OpenAI: GPT-6 Astra

Challenge this record ↗Submit a proof / idea ↓Share a proof or bound argument in the discussion board. Accepted contributions earn proof points.

Record holder's solver noteNo solver note yet (expand)＋

The record holder has not shared a solver note yet.

Record history (6 changes)

zzzcyAI · OpenAI: GPT-6 Astra
2.745183872→2.745183875
2026-10-16
zzzcyAI · OpenAI: GPT-6 Astra
2.744898357→2.745183872
2026-10-15
zzzcyAI · OpenAI: GPT-6 Astra
2.730770064→2.744898357
2026-10-14
zzzcyAI · OpenAI: GPT-6 Astra
1.610493865→2.730770064
2026-10-13
zzzcyAI · OpenAI: GPT-6 Astra
1.438308545→1.610493865
2026-10-13
今天Human
1.438308362→1.438308545
2026-10-13

ANSWER FORMAT

How to write your answer

Every hallway has width 1 and the sofa enters from the right along the lower leg {x ≥ 0, 0 ≤ y ≤ 1}. Zigzag: the vertical leg 0 ≤ x ≤ 1 has height 2 + d and the upper leg {x ≤ 1, 1 + d ≤ y ≤ 2 + d} exits to the left. Double U-turn: the middle leg {0 ≤ x ≤ 2, 1 + t ≤ y ≤ 2 + t} leads to the upper leg {x ≤ 2, 2 + 2t ≤ y ≤ 3 + 2t} exiting to the left, separated by two thin walls of thickness t = 0.000000001 and length 1 at {x > 1, 1 < y < 1 + t} and {x < 1, 2 + t < y < 2 + 2t}. Staircase: passes through the cells [0, 1] × [1, 2] and [−1, 0] × [1, 2] and exits upward along {−1 ≤ x ≤ 0, y ≥ 1}. Hairpin with a jog: two rooms [−1, 1] × [1, 2] and [−1, 1] × [3, 4] of width 2 are joined by a unit passage [−1, 0] × [2, 3], with the upper leg {x ≥ 0, 4 ≤ y ≤ 5} exiting to the right.

Submit polygon (the vertices in the sofa's local frame, in either orientation) and poses (consecutive placements {x,y,turn}: rotate by θ about the origin with turn = tan(θ/2), then translate by (x,y)). The first placement must lie inside the entry leg and the last inside the exit leg as specified under Ends for each hallway, and consecutive placements may differ in angle by at most 90°. A unit square can traverse every hallway by pure translation. The editor also attaches an arc-model outline field, which the verifier ignores when checking polygon and poses; the editor plans the motion automatically, and if the default planner gets stuck (for instance in the jogged hairpin), you can run the in-browser route search or supply custom poses directly.

The current leader's answer

{
  "polygon": [
    [
      "-2.387391369",
      "1.000054860"
    ],
    [
      "-1.387473950",
      "1.000054858"
    ],
    [
      "-1.381874370",
      "0.992663670"
    ],
    [
      "-1.378791798",
      "0.988616107"
    ],
    [
      "-1.371242302",
      "0.978997999"
    ],
    [
      "-1.366987729",
      "0.973621583"
    ],
    [
      "-1.356500780",
      "0.960731528"
    ],
    [
      "-1.352276968",
      "0.955687508"
    ],
    [
      "-1.343041318",
      "0.944743446"
    ],
    [
      "-1.338048633",
      "0.939278486"
    ],
    [
      "-1.332980102",
      "0.933770626"
    ],
    [
      "-1.327235395",
      "0.927938470"
    ],
    [
      "-1.319272863",
      "0.919923340"
    ],
    [
      "-1.307861205",
      "0.908594618"
    ],
    [
      "-1.302924442",
      "0.903759497"
    ],
    [
      "-1.297233585",
      "0.898211589"
    ],
    [
      "-1.290756657",
      "0.891931029"
    ],
    [
      "-1.285237793",
      "0.886649066"
    ],
    [
      "-1.278745504",
      "0.880470546"
    ],
    [
      "-1.271423408",
      "0.873541667"
    ],
    [
      "-1.265856125",
      "0.868354079"
    ],
    [
      "-1.255964850",
      "0.859180957"
    ],
    [
      "-1.248637011",
      "0.852427354"
    ],
    [
      "-1.241022343",
      "0.845493496"
    ],
    [
      "-1.234192109",
      "0.839314405"
    ],
    [
      "-1.225134887",
      "0.831180187"
    ],
    [
      "-1.218526997",
      "0.825278185"
    ],
    [
      "-1.211579340",
      "0.819109691"
    ],
    [
      "-1.206545448",
      "0.814709017"
    ],
    [
      "-1.200652980",
      "0.809581721"
    ],
    [
      "-1.193350751",
      "0.803262867"
    ],
    [
      "-1.184528126",
      "0.795924005"
    ],
    [
      "-1.175826972",
      "0.788741233"
    ],
    [
      "-1.170796285",
      "0.784719951"
    ],
    [
      "-1.165017872",
      "0.780120246"
    ],
    [
      "-1.157650587",
      "0.774288010"
    ],
    [
      "-1.149743476",
      "0.768611752"
    ],
    [
      "-1.141824895",
      "0.762963620"
    ],
    [
      "-1.133858483",
      "0.757353417"
    ],
    [
      "-1.125752327",
      "0.751681781"
    ],
    [
      "-1.117185959",
      "0.745755425"
    ],
    [
      "-1.108218100",
      "0.739594920"
    ],
    [
      "-1.101491377",
      "0.735163155"
    ],
    [
      "-1.094925747",
      "0.730860109"
    ],
    [
      "-1.088954005",
      "0.727022039"
    ],
    [
      "-1.082984421",
      "0.723203698"
    ],
    [
      "-1.073929460",
      "0.717967951"
    ],
    [
      "-1.064868744",
      "0.712764991"
    ],
    [
      "-1.055974467",
      "0.707753654"
    ],
    [
      "-1.047097921",
      "0.702786766"
    ],
    [
      "-1.038084935",
      "0.697846117"
    ],
    [
      "-1.029113935",
      "0.692963557"
    ],
    [
      "-1.021430435",
      "0.688892752"
    ],
    [
      "-1.013230040",
      "0.684574288"
    ],
    [
      "-1.005411857",
      "0.680530373"
    ],
    [
      "-0.997456859",
      "0.676455201"
    ],
    [
      "-0.989293511",
      "0.672315944"
    ],
    [
      "-0.980970144",
      "0.668123594"
    ],
    [
      "-0.971991867",
      "0.663647734"
    ],
    [
      "-0.958947624",
      "0.657194136"
    ],
    [
      "-0.951241054",
      "0.653405634"
    ],
    [
      "-0.943458089",
      "0.649613833"
    ],
    [
      "-0.930736012",
      "0.643456089"
    ],
    [
      "-0.922557401",
      "0.639526315"
    ],
    [
      "-0.914499266",
      "0.635702816"
    ],
    [
      "-0.906154317",
      "0.631769488"
    ],
    [
      "-0.896973143",
      "0.627470565"
    ],
    [
      "-0.889194273",
      "0.623876286"
    ],
    [
      "-0.881888979",
      "0.620523150"
    ],
    [
      "-0.874917035",
      "0.617151986"
    ],
    [
      "-0.867881215",
      "0.613769447"
    ],
    [
      "-0.857385726",
      "0.608781364"
    ],
    [
      "-0.844988659",
      "0.602951729"
    ],
    [
      "-0.836657190",
      "0.599060811"
    ],
    [
      "-0.827227204",
      "0.594691998"
    ],
    [
      "-0.817388974",
      "0.590191134"
    ],
    [
      "-0.808678871",
      "0.586238196"
    ],
    [
      "-0.800960643",
      "0.582757571"
    ],
    [
      "-0.791536850",
      "0.578562620"
    ],
    [
      "-0.782074752",
      "0.574382966"
    ],
    [
      "-0.770101383",
      "0.569137543"
    ],
    [
      "-0.760969426",
      "0.565167702"
    ],
    [
      "-0.752500549",
      "0.561546702"
    ],
    [
      "-0.743971007",
      "0.557925627"
    ],
    [
      "-0.734363590",
      "0.553891140"
    ],
    [
      "-0.720342278",
      "0.548052786"
    ],
    [
      "-0.710989597",
      "0.544192356"
    ],
    [
      "-0.701653047",
      "0.540504835"
    ],
    [
      "-0.692293388",
      "0.536839698"
    ],
    [
      "-0.682834879",
      "0.533334293"
    ],
    [
      "-0.673445985",
      "0.529885536"
    ],
    [
      "-0.664783217",
      "0.526779725"
    ],
    [
      "-0.657347259",
      "0.524135315"
    ],
    [
      "-0.648822076",
      "0.521123408"
    ],
    [
      "-0.634971004",
      "0.516284336"
    ],
    [
      "-0.624234388",
      "0.512571717"
    ],
    [
      "-0.613642031",
      "0.508982710"
    ],
    [
      "-0.602192627",
      "0.505151660"
    ],
    [
      "-0.590223714",
      "0.501257754"
    ],
    [
      "-0.577859642",
      "0.497292431"
    ],
    [
      "-0.568545051",
      "0.494376379"
    ],
    [
      "-0.560757127",
      "0.491961120"
    ],
    [
      "-0.553558009",
      "0.489744830"
    ],
    [
      "-0.543720329",
      "0.486749124"
    ],
    [
      "-0.533254715",
      "0.483599458"
    ],
    [
      "-0.524927256",
      "0.481145665"
    ],
    [
      "-0.517745935",
      "0.479062486"
    ],
    [
      "-0.509611049",
      "0.476767778"
    ],
    [
      "-0.501223240",
      "0.474424761"
    ],
    [
      "-0.491577256",
      "0.471784422"
    ],
    [
      "-0.481735071",
      "0.469123087"
    ],
    [
      "-0.470903291",
      "0.467239950"
    ],
    [
      "-0.460345228",
      "0.465434948"
    ],
    [
      "-0.452351711",
      "0.464131482"
    ],
    [
      "-0.442829222",
      "0.462600235"
    ],
    [
      "-0.431717673",
      "0.460844243"
    ],
    [
      "-0.421299443",
      "0.459299914"
    ],
    [
      "-0.410969552",
      "0.457797431"
    ],
    [
      "-0.401560246",
      "0.456501997"
    ],
    [
      "-0.390516334",
      "0.455014899"
    ],
    [
      "-0.382311525",
      "0.453932254"
    ],
    [
      "-0.371456297",
      "0.452632427"
    ],
    [
      "-0.360763716",
      "0.451388102"
    ],
    [
      "-0.353209293",
      "0.450573308"
    ],
    [
      "-0.345401986",
      "0.449748208"
    ],
    [
      "-0.338434146",
      "0.449062538"
    ],
    [
      "-0.331225384",
      "0.448367778"
    ],
    [
      "-0.322038765",
      "0.447617861"
    ],
    [
      "-0.311943416",
      "0.446820415"
    ],
    [
      "-0.301114810",
      "0.446037636"
    ],
    [
      "-0.286832821",
      "0.445158657"
    ],
    [
      "-0.268020547",
      "0.444156458"
    ],
    [
      "-0.260692437",
      "0.443788531"
    ],
    [
      "-0.253004238",
      "0.443373303"
    ],
    [
      "-0.245335755",
      "0.442983079"
    ],
    [
      "-0.240036339",
      "0.442687808"
    ],
    [
      "-0.232256315",
      "0.442275243"
    ],
    [
      "-0.215152894",
      "0.441434731"
    ],
    [
      "-0.193872748",
      "0.440488941"
    ],
    [
      "-0.166293843",
      "0.439424156"
    ],
    [
      "-0.146811224",
      "0.438761103"
    ],
    [
      "-0.122097299",
      "0.438133681"
    ],
    [
      "-0.114683995",
      "0.438011445"
    ],
    [
      "-0.107300894",
      "0.437904066"
    ],
    [
      "-0.083118124",
      "0.437684387"
    ],
    [
      "-0.068162442",
      "0.437836697"
    ],
    [
      "-0.062041208",
      "0.437986802"
    ],
    [
      "-0.054704432",
      "0.438195427"
    ],
    [
      "-0.042226753",
      "0.438595186"
    ],
    [
      "-0.034996978",
      "0.438971935"
    ],
    [
      "-0.021973991",
      "0.439712280"
    ],
    [
      "-0.014820345",
      "0.440238382"
    ],
    [
      "-0.007538999",
      "0.440806490"
    ],
    [
      "-0.000833343",
      "0.441366078"
    ],
    [
      "0.005311951",
      "0.441900916"
    ],
    [
      "0.019469028",
      "0.443309946"
    ],
    [
      "0.035575543",
      "0.444957345"
    ],
    [
      "0.043934907",
      "0.445871285"
    ],
    [
      "0.051473722",
      "0.446725864"
    ],
    [
      "0.058512826",
      "0.447547937"
    ],
    [
      "0.065595529",
      "0.448438804"
    ],
    [
      "0.074491366",
      "0.449589455"
    ],
    [
      "0.081731348",
      "0.450551777"
    ],
    [
      "0.088481378",
      "0.451502814"
    ],
    [
      "0.100524692",
      "0.453237861"
    ],
    [
      "0.114051581",
      "0.455246043"
    ],
    [
      "0.122611435",
      "0.456639227"
    ],
    [
      "0.131312631",
      "0.458077068"
    ],
    [
      "0.138426062",
      "0.459352351"
    ],
    [
      "0.146301545",
      "0.460798041"
    ],
    [
      "0.158212477",
      "0.458610053"
    ],
    [
      "0.170055655",
      "0.456608944"
    ],
    [
      "0.179968932",
      "0.455043709"
    ],
    [
      "0.187624046",
      "0.453884213"
    ],
    [
      "0.198037380",
      "0.452378861"
    ],
    [
      "0.207713803",
      "0.451004531"
    ],
    [
      "0.216572297",
      "0.449784338"
    ],
    [
      "0.226473736",
      "0.448504401"
    ],
    [
      "0.235068312",
      "0.447445854"
    ],
    [
      "0.245777700",
      "0.446195803"
    ],
    [
      "0.252585604",
      "0.445447169"
    ],
    [
      "0.259504525",
      "0.444708614"
    ],
    [
      "0.278349533",
      "0.442799251"
    ],
    [
      "0.285557741",
      "0.442089667"
    ],
    [
      "0.294914132",
      "0.441224949"
    ],
    [
      "0.304103785",
      "0.440512265"
    ],
    [
      "0.316812357",
      "0.439594235"
    ],
    [
      "0.326612670",
      "0.439043230"
    ],
    [
      "0.336264036",
      "0.438592468"
    ],
    [
      "0.347263190",
      "0.438244652"
    ],
    [
      "0.357825015",
      "0.437952030"
    ],
    [
      "0.366153456",
      "0.437768082"
    ],
    [
      "0.382083940",
      "0.437757587"
    ],
    [
      "0.401300596",
      "0.437937142"
    ],
    [
      "0.427885466",
      "0.438464419"
    ],
    [
      "0.449617390",
      "0.439118050"
    ],
    [
      "0.467394260",
      "0.439752358"
    ],
    [
      "0.483960823",
      "0.440398974"
    ],
    [
      "0.508964983",
      "0.441501896"
    ],
    [
      "0.530518084",
      "0.442593652"
    ],
    [
      "0.547378090",
      "0.443483474"
    ],
    [
      "0.552361690",
      "0.443757110"
    ],
    [
      "0.563631164",
      "0.444321455"
    ],
    [
      "0.574776198",
      "0.444900997"
    ],
    [
      "0.584952631",
      "0.445480494"
    ],
    [
      "0.594449306",
      "0.446106499"
    ],
    [
      "0.603911607",
      "0.446755007"
    ],
    [
      "0.610963991",
      "0.447307527"
    ],
    [
      "0.619212422",
      "0.447972793"
    ],
    [
      "0.627424780",
      "0.448729817"
    ],
    [
      "0.635460894",
      "0.449487981"
    ],
    [
      "0.647360750",
      "0.450735449"
    ],
    [
      "0.656731795",
      "0.451750011"
    ],
    [
      "0.666361309",
      "0.452902805"
    ],
    [
      "0.676226008",
      "0.454111189"
    ],
    [
      "0.688057494",
      "0.455675862"
    ],
    [
      "0.700928053",
      "0.457431672"
    ],
    [
      "0.718166323",
      "0.459947490"
    ],
    [
      "0.729225921",
      "0.461652925"
    ],
    [
      "0.739658461",
      "0.463289248"
    ],
    [
      "0.748780582",
      "0.464771771"
    ],
    [
      "0.758372239",
      "0.466369789"
    ],
    [
      "0.766522329",
      "0.467781455"
    ],
    [
      "0.774536631",
      "0.469186585"
    ],
    [
      "0.782718427",
      "0.471387522"
    ],
    [
      "0.791190102",
      "0.473703739"
    ],
    [
      "0.800991233",
      "0.476428703"
    ],
    [
      "0.810474537",
      "0.479095897"
    ],
    [
      "0.818413069",
      "0.481407650"
    ],
    [
      "0.826603289",
      "0.483814497"
    ],
    [
      "0.836713353",
      "0.486863511"
    ],
    [
      "0.845409395",
      "0.489512523"
    ],
    [
      "0.853077942",
      "0.491869914"
    ],
    [
      "0.861494881",
      "0.494484443"
    ],
    [
      "0.869468350",
      "0.496983561"
    ],
    [
      "0.876122058",
      "0.499085903"
    ],
    [
      "0.885624612",
      "0.502154629"
    ],
    [
      "0.894692072",
      "0.505117067"
    ],
    [
      "0.905088557",
      "0.508589455"
    ],
    [
      "0.915515244",
      "0.512124459"
    ],
    [
      "0.923258157",
      "0.514798907"
    ],
    [
      "0.935998232",
      "0.519234187"
    ],
    [
      "0.947278060",
      "0.523197263"
    ],
    [
      "0.959994865",
      "0.527717997"
    ],
    [
      "0.968913961",
      "0.530915461"
    ],
    [
      "0.976886954",
      "0.533869395"
    ],
    [
      "0.984813582",
      "0.536828316"
    ],
    [
      "0.993997284",
      "0.540424804"
    ],
    [
      "1.003351441",
      "0.544119953"
    ],
    [
      "1.014225165",
      "0.548588777"
    ],
    [
      "1.021888779",
      "0.551777722"
    ],
    [
      "1.033017260",
      "0.556434060"
    ],
    [
      "1.040016481",
      "0.559405652"
    ],
    [
      "1.048746087",
      "0.563142142"
    ],
    [
      "1.059129255",
      "0.567617913"
    ],
    [
      "1.066821199",
      "0.570954995"
    ],
    [
      "1.075776137",
      "0.574866282"
    ],
    [
      "1.086959915",
      "0.579822806"
    ],
    [
      "1.097415604",
      "0.584503174"
    ],
    [
      "1.104475251",
      "0.587696281"
    ],
    [
      "1.112579423",
      "0.591382840"
    ],
    [
      "1.122638130",
      "0.595993524"
    ],
    [
      "1.132589420",
      "0.600611720"
    ],
    [
      "1.140850513",
      "0.604474176"
    ],
    [
      "1.148386835",
      "0.608018526"
    ],
    [
      "1.158712561",
      "0.612923190"
    ],
    [
      "1.167052404",
      "0.616925039"
    ],
    [
      "1.174578551",
      "0.620560582"
    ],
    [
      "1.181294999",
      "0.623648359"
    ],
    [
      "1.189548666",
      "0.627466817"
    ],
    [
      "1.199251978",
      "0.631993323"
    ],
    [
      "1.208491960",
      "0.636363921"
    ],
    [
      "1.216446296",
      "0.640154764"
    ],
    [
      "1.224445422",
      "0.643990864"
    ],
    [
      "1.232830431",
      "0.648041357"
    ],
    [
      "1.245641678",
      "0.654285990"
    ],
    [
      "1.257480017",
      "0.660127879"
    ],
    [
      "1.267069903",
      "0.664879411"
    ],
    [
      "1.276749466",
      "0.669716978"
    ],
    [
      "1.286548454",
      "0.674662897"
    ],
    [
      "1.296386243",
      "0.679670573"
    ],
    [
      "1.304488454",
      "0.683880620"
    ],
    [
      "1.312434499",
      "0.688035975"
    ],
    [
      "1.320292217",
      "0.692225614"
    ],
    [
      "1.328128982",
      "0.696430305"
    ],
    [
      "1.335878958",
      "0.700689735"
    ],
    [
      "1.343636929",
      "0.704979838"
    ],
    [
      "1.351554001",
      "0.709429408"
    ],
    [
      "1.359499562",
      "0.713922967"
    ],
    [
      "1.367587392",
      "0.718577562"
    ],
    [
      "1.375682366",
      "0.723265897"
    ],
    [
      "1.382842850",
      "0.727856321"
    ],
    [
      "1.390092170",
      "0.732530602"
    ],
    [
      "1.400687889",
      "0.739511343"
    ],
    [
      "1.408220522",
      "0.744671023"
    ],
    [
      "1.415551509",
      "0.749721848"
    ],
    [
      "1.424027540",
      "0.755641149"
    ],
    [
      "1.432665342",
      "0.761715743"
    ],
    [
      "1.441444957",
      "0.767968249"
    ],
    [
      "1.450224202",
      "0.774264806"
    ],
    [
      "1.456333039",
      "0.779081514"
    ],
    [
      "1.462551033",
      "0.784009048"
    ],
    [
      "1.470977274",
      "0.790862294"
    ],
    [
      "1.479474120",
      "0.797822941"
    ],
    [
      "1.487137077",
      "0.804325581"
    ],
    [
      "1.494827664",
      "0.810894207"
    ],
    [
      "1.503804800",
      "0.818776975"
    ],
    [
      "1.512056008",
      "0.826079632"
    ],
    [
      "1.517831093",
      "0.831236101"
    ],
    [
      "1.524052538",
      "0.836819864"
    ],
    [
      "1.531449407",
      "0.843495992"
    ],
    [
      "1.539486404",
      "0.850810068"
    ],
    [
      "1.548010108",
      "0.858624879"
    ],
    [
      "1.554955016",
      "0.865033985"
    ],
    [
      "1.562938382",
      "0.872501979"
    ],
    [
      "1.570893206",
      "0.879995702"
    ],
    [
      "1.577662413",
      "0.886459103"
    ],
    [
      "1.584358639",
      "0.892890168"
    ],
    [
      "1.591781724",
      "0.900093764"
    ],
    [
      "1.599207179",
      "0.907348179"
    ],
    [
      "1.605770826",
      "0.913826747"
    ],
    [
      "1.612398063",
      "0.920404925"
    ],
    [
      "1.617764746",
      "0.925826983"
    ],
    [
      "1.622042054",
      "0.930174331"
    ],
    [
      "1.627461877",
      "0.935850897"
    ],
    [
      "1.632917144",
      "0.941608616"
    ],
    [
      "1.637069597",
      "0.946459462"
    ],
    [
      "1.641753339",
      "0.951959522"
    ],
    [
      "1.644075733",
      "0.954698632"
    ],
    [
      "1.650150698",
      "0.962036935"
    ],
    [
      "1.654785546",
      "0.967671381"
    ],
    [
      "1.664051364",
      "0.979217725"
    ],
    [
      "1.667732051",
      "0.983935294"
    ],
    [
      "1.673577024",
      "0.991475029"
    ],
    [
      "1.675450332",
      "0.993958004"
    ],
    [
      "1.680034230",
      "1.000054859"
    ],
    [
      "2.679985518",
      "1.000054860"
    ],
    [
      "2.678685825",
      "0.997565986"
    ],
    [
      "2.677384104",
      "0.995078409"
    ],
    [
      "2.674387961",
      "0.989464349"
    ],
    [
      "2.672104105",
      "0.985263145"
    ],
    [
      "2.668365563",
      "0.978456138"
    ],
    [
      "2.664347905",
      "0.971212534"
    ],
    [
      "2.660279939",
      "0.963996849"
    ],
    [
      "2.655675774",
      "0.955908866"
    ],
    [
      "2.651607880",
      "0.948865969"
    ],
    [
      "2.646966682",
      "0.940921957"
    ],
    [
      "2.643352845",
      "0.934810664"
    ],
    [
      "2.639664244",
      "0.928633328"
    ],
    [
      "2.635135768",
      "0.921127428"
    ],
    [
      "2.632302473",
      "0.916614809"
    ],
    [
      "2.629907585",
      "0.912913860"
    ],
    [
      "2.623827277",
      "0.903855819"
    ],
    [
      "2.620695273",
      "0.899266799"
    ],
    [
      "2.617862861",
      "0.895161404"
    ],
    [
      "2.612081139",
      "0.886860303"
    ],
    [
      "2.606927622",
      "0.879579658"
    ],
    [
      "2.601887619",
      "0.872492661"
    ],
    [
      "2.597428623",
      "0.866253473"
    ],
    [
      "2.592804254",
      "0.859820340"
    ],
    [
      "2.587819168",
      "0.852915610"
    ],
    [
      "2.583113388",
      "0.846426255"
    ],
    [
      "2.577924550",
      "0.839323427"
    ],
    [
      "2.572731852",
      "0.832248316"
    ],
    [
      "2.568640082",
      "0.826703287"
    ],
    [
      "2.563900590",
      "0.820327273"
    ],
    [
      "2.559151074",
      "0.813964555"
    ],
    [
      "2.554386073",
      "0.807607816"
    ],
    [
      "2.549593088",
      "0.801261768"
    ],
    [
      "2.544214215",
      "0.794182516"
    ],
    [
      "2.538182869",
      "0.786279713"
    ],
    [
      "2.531613259",
      "0.777714376"
    ],
    [
      "2.526255822",
      "0.770760269"
    ],
    [
      "2.521214262",
      "0.764243808"
    ],
    [
      "2.515564209",
      "0.756974472"
    ],
    [
      "2.511161127",
      "0.751333929"
    ],
    [
      "2.506828741",
      "0.745805079"
    ],
    [
      "2.502056344",
      "0.739738651"
    ],
    [
      "2.497612752",
      "0.734112452"
    ],
    [
      "2.493157785",
      "0.728493255"
    ],
    [
      "2.489853522",
      "0.724365929"
    ],
    [
      "2.485036885",
      "0.718433044"
    ],
    [
      "2.480208783",
      "0.712509931"
    ],
    [
      "2.475329275",
      "0.706547882"
    ],
    [
      "2.470012136",
      "0.700233874"
    ],
    [
      "2.464690278",
      "0.693941384"
    ],
    [
      "2.459354608",
      "0.687659602"
    ],
    [
      "2.456473733",
      "0.684299093"
    ],
    [
      "2.450732157",
      "0.677691502"
    ],
    [
      "2.444974788",
      "0.671095767"
    ],
    [
      "2.440632728",
      "0.666515299"
    ],
    [
      "2.434860943",
      "0.660456309"
    ],
    [
      "2.429076121",
      "0.654409095"
    ],
    [
      "2.423837583",
      "0.648962714"
    ],
    [
      "2.418035938",
      "0.642963067"
    ],
    [
      "2.412221937",
      "0.636975878"
    ],
    [
      "2.406599762",
      "0.631218520"
    ],
    [
      "2.399913907",
      "0.624420565"
    ],
    [
      "2.393186468",
      "0.617613292"
    ],
    [
      "2.384633208",
      "0.609237923"
    ],
    [
      "2.381042871",
      "0.605744409"
    ],
    [
      "2.374158402",
      "0.599128533"
    ],
    [
      "2.367084244",
      "0.592363296"
    ],
    [
      "2.358430205",
      "0.584790825"
    ],
    [
      "2.350143376",
      "0.577579624"
    ],
    [
      "2.343283055",
      "0.571684321"
    ],
    [
      "2.337738177",
      "0.566938600"
    ],
    [
      "2.333080492",
      "0.562967924"
    ],
    [
      "2.324820316",
      "0.555996869"
    ],
    [
      "2.317305281",
      "0.549687017"
    ],
    [
      "2.310798200",
      "0.544320560"
    ],
    [
      "2.304339582",
      "0.539016274"
    ],
    [
      "2.299012298",
      "0.534671237"
    ],
    [
      "2.291593379",
      "0.528681082"
    ],
    [
      "2.284100841",
      "0.522660374"
    ],
    [
      "2.278377036",
      "0.518121401"
    ],
    [
      "2.272723119",
      "0.513654171"
    ],
    [
      "2.264734099",
      "0.507369469"
    ],
    [
      "2.257338251",
      "0.501574580"
    ],
    [
      "2.249535682",
      "0.495489232"
    ],
    [
      "2.232614042",
      "0.482347685"
    ],
    [
      "2.228171757",
      "0.478911052"
    ],
    [
      "2.217736062",
      "0.470877899"
    ],
    [
      "2.210824505",
      "0.465579914"
    ],
    [
      "2.201208182",
      "0.458237824"
    ],
    [
      "2.195769067",
      "0.454098393"
    ],
    [
      "2.188851462",
      "0.448855071"
    ],
    [
      "2.181110079",
      "0.443015558"
    ],
    [
      "2.174052942",
      "0.437719397"
    ],
    [
      "2.166983802",
      "0.432438931"
    ],
    [
      "2.159921944",
      "0.427188465"
    ],
    [
      "2.149686497",
      "0.419611465"
    ],
    [
      "2.140578597",
      "0.412900926"
    ],
    [
      "2.132750837",
      "0.407167410"
    ],
    [
      "2.124831381",
      "0.401393951"
    ],
    [
      "2.116597536",
      "0.395418370"
    ],
    [
      "2.109544088",
      "0.390323319"
    ],
    [
      "2.102479648",
      "0.385242310"
    ],
    [
      "2.091485084",
      "0.377374928"
    ],
    [
      "2.085018009",
      "0.372771498"
    ],
    [
      "2.078537538",
      "0.368176891"
    ],
    [
      "2.071839747",
      "0.363446827"
    ],
    [
      "2.061568530",
      "0.356228811"
    ],
    [
      "2.055549452",
      "0.352020276"
    ],
    [
      "2.049522206",
      "0.347821750"
    ],
    [
      "2.041790572",
      "0.342467392"
    ],
    [
      "2.033485786",
      "0.336744825"
    ],
    [
      "2.017761391",
      "0.325961574"
    ],
    [
      "2.011155561",
      "0.321453202"
    ],
    [
      "2.004827732",
      "0.317152110"
    ],
    [
      "1.999504402",
      "0.313561273"
    ],
    [
      "1.990575138",
      "0.307556279"
    ],
    [
      "1.985015220",
      "0.303829598"
    ],
    [
      "1.978488383",
      "0.299479112"
    ],
    [
      "1.971695926",
      "0.294970679"
    ],
    [
      "1.964822947",
      "0.290526603"
    ],
    [
      "1.958056014",
      "0.286169965"
    ],
    [
      "1.951787254",
      "0.282150701"
    ],
    [
      "1.944091670",
      "0.277380748"
    ],
    [
      "1.936440501",
      "0.272661268"
    ],
    [
      "1.931690414",
      "0.269773510"
    ],
    [
      "1.924550458",
      "0.265473581"
    ],
    [
      "1.911603708",
      "0.257711183"
    ],
    [
      "1.898971037",
      "0.250182946"
    ],
    [
      "1.887958926",
      "0.243656150"
    ],
    [
      "1.881322058",
      "0.239736860"
    ],
    [
      "1.875092800",
      "0.236079978"
    ],
    [
      "1.868853733",
      "0.232439354"
    ],
    [
      "1.862223845",
      "0.228592658"
    ],
    [
      "1.854516194",
      "0.224145735"
    ],
    [
      "1.848171149",
      "0.220520585"
    ],
    [
      "1.840200441",
      "0.215991873"
    ],
    [
      "1.834421890",
      "0.212729024"
    ],
    [
      "1.828380933",
      "0.209342868"
    ],
    [
      "1.820828351",
      "0.205137837"
    ],
    [
      "1.811325518",
      "0.199876653"
    ],
    [
      "1.802844975",
      "0.195203281"
    ],
    [
      "1.793116020",
      "0.189868850"
    ],
    [
      "1.784462868",
      "0.185153312"
    ],
    [
      "1.777513834",
      "0.181395507"
    ],
    [
      "1.770175610",
      "0.177467930"
    ],
    [
      "1.762749191",
      "0.173512859"
    ],
    [
      "1.755274000",
      "0.169606805"
    ],
    [
      "1.747983998",
      "0.165816559"
    ],
    [
      "1.740840213",
      "0.162120516"
    ],
    [
      "1.731225912",
      "0.157191485"
    ],
    [
      "1.723299469",
      "0.153162031"
    ],
    [
      "1.715541668",
      "0.150145783"
    ],
    [
      "1.705846814",
      "0.146399648"
    ],
    [
      "1.694551705",
      "0.142117259"
    ],
    [
      "1.685960035",
      "0.138889455"
    ],
    [
      "1.678145362",
      "0.136002585"
    ],
    [
      "1.670322331",
      "0.133129109"
    ],
    [
      "1.662323492",
      "0.130208050"
    ],
    [
      "1.646700850",
      "0.124626561"
    ],
    [
      "1.639058188",
      "0.121943670"
    ],
    [
      "1.630762538",
      "0.119071677"
    ],
    [
      "1.620858866",
      "0.115676178"
    ],
    [
      "1.612127451",
      "0.112741047"
    ],
    [
      "1.601416228",
      "0.109210545"
    ],
    [
      "1.593264803",
      "0.106570237"
    ],
    [
      "1.585658532",
      "0.104176000"
    ],
    [
      "1.576444561",
      "0.101299761"
    ],
    [
      "1.568368464",
      "0.098838027"
    ],
    [
      "1.558121125",
      "0.095796051"
    ],
    [
      "1.552060142",
      "0.094041543"
    ],
    [
      "1.540798846",
      "0.090875664"
    ],
    [
      "1.532215220",
      "0.088541292"
    ],
    [
      "1.521837737",
      "0.085773347"
    ],
    [
      "1.513874128",
      "0.083701098"
    ],
    [
      "1.506229443",
      "0.081758402"
    ],
    [
      "1.498414047",
      "0.079811829"
    ],
    [
      "1.491570131",
      "0.078156672"
    ],
    [
      "1.483256047",
      "0.076231092"
    ],
    [
      "1.474784002",
      "0.074347324"
    ],
    [
      "1.467406546",
      "0.072779269"
    ],
    [
      "1.461145944",
      "0.071504159"
    ],
    [
      "1.438498678",
      "0.071168967"
    ],
    [
      "1.413365327",
      "0.070847924"
    ],
    [
      "1.396771240",
      "0.070661376"
    ],
    [
      "1.379188834",
      "0.070481720"
    ],
    [
      "1.357726083",
      "0.070296538"
    ],
    [
      "1.331277645",
      "0.070146802"
    ],
    [
      "1.312367873",
      "0.070096625"
    ],
    [
      "1.303416192",
      "0.065732357"
    ],
    [
      "1.299706763",
      "0.063932810"
    ],
    [
      "1.292548210",
      "0.060507499"
    ],
    [
      "1.286850947",
      "0.057846862"
    ],
    [
      "1.281064503",
      "0.055165679"
    ],
    [
      "1.269065262",
      "0.049718059"
    ],
    [
      "1.263018668",
      "0.046994508"
    ],
    [
      "1.258191785",
      "0.044848691"
    ],
    [
      "1.254953702",
      "0.043412399"
    ],
    [
      "1.243617778",
      "0.038488141"
    ],
    [
      "1.239317265",
      "0.036665269"
    ],
    [
      "1.230417003",
      "0.032915691"
    ],
    [
      "1.222725998",
      "0.029752910"
    ],
    [
      "1.216034895",
      "0.027165018"
    ],
    [
      "1.209401369",
      "0.024624139"
    ],
    [
      "1.202695236",
      "0.022080398"
    ],
    [
      "1.194942084",
      "0.019240480"
    ],
    [
      "1.187211480",
      "0.016441625"
    ],
    [
      "1.181084036",
      "0.015226537"
    ],
    [
      "1.175277332",
      "0.014125387"
    ],
    [
      "1.170714392",
      "0.013285700"
    ],
    [
      "1.166362490",
      "0.012504900"
    ],
    [
      "1.162494433",
      "0.011830206"
    ],
    [
      "1.157262866",
      "0.010942192"
    ],
    [
      "1.150432143",
      "0.009825406"
    ],
    [
      "1.143542090",
      "0.008765497"
    ],
    [
      "1.138097285",
      "0.007962446"
    ],
    [
      "1.132729007",
      "0.007203852"
    ],
    [
      "1.126613902",
      "0.006376902"
    ],
    [
      "1.121002175",
      "0.005664012"
    ],
    [
      "1.115066776",
      "0.004955379"
    ],
    [
      "1.110434539",
      "0.004433042"
    ],
    [
      "1.106157665",
      "0.003975201"
    ],
    [
      "1.100608197",
      "0.003418520"
    ],
    [
      "1.095710083",
      "0.002965058"
    ],
    [
      "1.090849053",
      "0.002550414"
    ],
    [
      "1.084260358",
      "0.002044059"
    ],
    [
      "1.079665556",
      "0.001729485"
    ],
    [
      "1.071385690",
      "0.001228156"
    ],
    [
      "1.062263438",
      "0.000758350"
    ],
    [
      "1.056012763",
      "0.000491591"
    ],
    [
      "1.046687946",
      "0.000147702"
    ],
    [
      "1.041655210",
      "0.000057028"
    ],
    [
      "1.038156416",
      "0.000054861"
    ],
    [
      "-0.745926603",
      "0.000054860"
    ],
    [
      "-0.749507080",
      "0.000057527"
    ],
    [
      "-0.756091542",
      "0.000215140"
    ],
    [
      "-0.761436383",
      "0.000410956"
    ],
    [
      "-0.770777205",
      "0.000815913"
    ],
    [
      "-0.775535634",
      "0.001047317"
    ],
    [
      "-0.781193896",
      "0.001362207"
    ],
    [
      "-0.788945320",
      "0.001856572"
    ],
    [
      "-0.795423484",
      "0.002327966"
    ],
    [
      "-0.800733208",
      "0.002761743"
    ],
    [
      "-0.805059370",
      "0.003144712"
    ],
    [
      "-0.811412429",
      "0.003749217"
    ],
    [
      "-0.818103284",
      "0.004465698"
    ],
    [
      "-0.823426553",
      "0.005071804"
    ],
    [
      "-0.829050559",
      "0.005749541"
    ],
    [
      "-0.834824287",
      "0.006494149"
    ],
    [
      "-0.839567010",
      "0.007133842"
    ],
    [
      "-0.844307006",
      "0.007799159"
    ],
    [
      "-0.848735583",
      "0.008444462"
    ],
    [
      "-0.853679090",
      "0.009191219"
    ],
    [
      "-0.857961215",
      "0.009860090"
    ],
    [
      "-0.864369852",
      "0.010899584"
    ],
    [
      "-0.871569992",
      "0.012119826"
    ],
    [
      "-0.878808079",
      "0.013411507"
    ],
    [
      "-0.887060328",
      "0.014962414"
    ],
    [
      "-0.894580026",
      "0.016440695"
    ],
    [
      "-0.900504192",
      "0.018568208"
    ],
    [
      "-0.905897694",
      "0.020540853"
    ],
    [
      "-0.911256477",
      "0.022516521"
    ],
    [
      "-0.916702028",
      "0.024540278"
    ],
    [
      "-0.922894718",
      "0.026947987"
    ],
    [
      "-0.929064657",
      "0.029368672"
    ],
    [
      "-0.935264639",
      "0.031823164"
    ],
    [
      "-0.948640843",
      "0.037481962"
    ],
    [
      "-0.954654722",
      "0.040043878"
    ],
    [
      "-0.960723780",
      "0.042651524"
    ],
    [
      "-0.974707049",
      "0.048899569"
    ],
    [
      "-0.980529650",
      "0.051518493"
    ],
    [
      "-0.986904503",
      "0.054434588"
    ],
    [
      "-0.993201894",
      "0.057340362"
    ],
    [
      "-1.002745457",
      "0.061825074"
    ],
    [
      "-1.007299590",
      "0.063999394"
    ],
    [
      "-1.011891624",
      "0.066205353"
    ],
    [
      "-1.019820856",
      "0.070092274"
    ],
    [
      "-1.037406639",
      "0.070137723"
    ],
    [
      "-1.051700183",
      "0.070200862"
    ],
    [
      "-1.076457031",
      "0.070379798"
    ],
    [
      "-1.095776470",
      "0.070568276"
    ],
    [
      "-1.123096341",
      "0.070871935"
    ],
    [
      "-1.144166414",
      "0.071142145"
    ],
    [
      "-1.160726026",
      "0.071377243"
    ],
    [
      "-1.168588784",
      "0.071498142"
    ],
    [
      "-1.174878371",
      "0.072783237"
    ],
    [
      "-1.182714166",
      "0.074455979"
    ],
    [
      "-1.189513050",
      "0.075963388"
    ],
    [
      "-1.195532412",
      "0.077344578"
    ],
    [
      "-1.201595940",
      "0.078779784"
    ],
    [
      "-1.208024943",
      "0.080346915"
    ],
    [
      "-1.216784174",
      "0.082540695"
    ],
    [
      "-1.221004144",
      "0.083615959"
    ],
    [
      "-1.230875429",
      "0.086186680"
    ],
    [
      "-1.236017712",
      "0.087552261"
    ],
    [
      "-1.245889878",
      "0.090238921"
    ],
    [
      "-1.254691084",
      "0.092702476"
    ],
    [
      "-1.263676227",
      "0.095236649"
    ],
    [
      "-1.266716615",
      "0.096112354"
    ],
    [
      "-1.271210550",
      "0.097443337"
    ],
    [
      "-1.282084084",
      "0.100737880"
    ],
    [
      "-1.288754638",
      "0.102810747"
    ],
    [
      "-1.296354945",
      "0.105188855"
    ],
    [
      "-1.300706895",
      "0.106573366"
    ],
    [
      "-1.307364488",
      "0.108731540"
    ],
    [
      "-1.314532021",
      "0.111070358"
    ],
    [
      "-1.319770960",
      "0.112794593"
    ],
    [
      "-1.326885309",
      "0.115179714"
    ],
    [
      "-1.334585991",
      "0.117821012"
    ],
    [
      "-1.342229842",
      "0.120458187"
    ],
    [
      "-1.349867781",
      "0.123108647"
    ],
    [
      "-1.356435369",
      "0.125417582"
    ],
    [
      "-1.364347863",
      "0.128240271"
    ],
    [
      "-1.372255057",
      "0.131077709"
    ],
    [
      "-1.378797014",
      "0.133458096"
    ],
    [
      "-1.388053330",
      "0.136886831"
    ],
    [
      "-1.397300480",
      "0.140335307"
    ],
    [
      "-1.406985392",
      "0.143971889"
    ],
    [
      "-1.415166111",
      "0.147108463"
    ],
    [
      "-1.422753275",
      "0.150033843"
    ],
    [
      "-1.430461270",
      "0.153021991"
    ],
    [
      "-1.437091523",
      "0.156399195"
    ],
    [
      "-1.443770493",
      "0.159816756"
    ],
    [
      "-1.452031284",
      "0.164065427"
    ],
    [
      "-1.459342006",
      "0.167862673"
    ],
    [
      "-1.466304070",
      "0.171496384"
    ],
    [
      "-1.470856855",
      "0.173886819"
    ],
    [
      "-1.478192061",
      "0.177788466"
    ],
    [
      "-1.485945538",
      "0.181946426"
    ],
    [
      "-1.494323155",
      "0.186492496"
    ],
    [
      "-1.504439967",
      "0.192016392"
    ],
    [
      "-1.513962232",
      "0.197246238"
    ],
    [
      "-1.524185995",
      "0.202889645"
    ],
    [
      "-1.532285670",
      "0.207387734"
    ],
    [
      "-1.538660459",
      "0.210955956"
    ],
    [
      "-1.545442804",
      "0.214778596"
    ],
    [
      "-1.554685784",
      "0.220015488"
    ],
    [
      "-1.561689178",
      "0.224007238"
    ],
    [
      "-1.568628756",
      "0.228011911"
    ],
    [
      "-1.577404345",
      "0.233106398"
    ],
    [
      "-1.585328525",
      "0.237731797"
    ],
    [
      "-1.591860926",
      "0.241577350"
    ],
    [
      "-1.599298374",
      "0.245975399"
    ],
    [
      "-1.613353441",
      "0.254324577"
    ],
    [
      "-1.623330696",
      "0.260288946"
    ],
    [
      "-1.631581123",
      "0.265239312"
    ],
    [
      "-1.638936580",
      "0.269674562"
    ],
    [
      "-1.644294525",
      "0.272952200"
    ],
    [
      "-1.650638677",
      "0.276847521"
    ],
    [
      "-1.656977295",
      "0.280755073"
    ],
    [
      "-1.661651393",
      "0.283695719"
    ],
    [
      "-1.666877546",
      "0.287049660"
    ],
    [
      "-1.672608015",
      "0.290740044"
    ],
    [
      "-1.677845552",
      "0.294124723"
    ],
    [
      "-1.681470913",
      "0.296507532"
    ],
    [
      "-1.689576731",
      "0.301918455"
    ],
    [
      "-1.704514190",
      "0.311939629"
    ],
    [
      "-1.712676810",
      "0.317442610"
    ],
    [
      "-1.723069647",
      "0.324488736"
    ],
    [
      "-1.733153292",
      "0.331368779"
    ],
    [
      "-1.740877677",
      "0.336694697"
    ],
    [
      "-1.756576477",
      "0.347573749"
    ],
    [
      "-1.764399274",
      "0.353020365"
    ],
    [
      "-1.770809212",
      "0.357503053"
    ],
    [
      "-1.777338439",
      "0.362087817"
    ],
    [
      "-1.784658731",
      "0.367253317"
    ],
    [
      "-1.793679852",
      "0.373651138"
    ],
    [
      "-1.800617744",
      "0.378595783"
    ],
    [
      "-1.806982024",
      "0.383151908"
    ],
    [
      "-1.815417537",
      "0.389221483"
    ],
    [
      "-1.823372759",
      "0.394971567"
    ],
    [
      "-1.836338377",
      "0.404384274"
    ],
    [
      "-1.847292252",
      "0.412389433"
    ],
    [
      "-1.855041927",
      "0.418099672"
    ],
    [
      "-1.867694962",
      "0.427465431"
    ],
    [
      "-1.874195139",
      "0.432295820"
    ],
    [
      "-1.879237816",
      "0.436061565"
    ],
    [
      "-1.884377288",
      "0.439917159"
    ],
    [
      "-1.895079408",
      "0.447972796"
    ],
    [
      "-1.900621995",
      "0.452161586"
    ],
    [
      "-1.906013656",
      "0.456251358"
    ],
    [
      "-1.913070615",
      "0.461636763"
    ],
    [
      "-1.929735720",
      "0.474417793"
    ],
    [
      "-1.935463385",
      "0.478830983"
    ],
    [
      "-1.941709177",
      "0.483660607"
    ],
    [
      "-1.958552282",
      "0.496748282"
    ],
    [
      "-1.964431751",
      "0.501337277"
    ],
    [
      "-1.970362097",
      "0.505983470"
    ],
    [
      "-1.978104127",
      "0.512075501"
    ],
    [
      "-1.984984975",
      "0.517515365"
    ],
    [
      "-1.993458384",
      "0.524258257"
    ],
    [
      "-2.000838001",
      "0.530167567"
    ],
    [
      "-2.006949532",
      "0.535121977"
    ],
    [
      "-2.013675610",
      "0.540599434"
    ],
    [
      "-2.018482508",
      "0.544536132"
    ],
    [
      "-2.024595108",
      "0.549626211"
    ],
    [
      "-2.030698715",
      "0.554728926"
    ],
    [
      "-2.036833670",
      "0.559878211"
    ],
    [
      "-2.042893329",
      "0.565031658"
    ],
    [
      "-2.049230173",
      "0.570442569"
    ],
    [
      "-2.055393199",
      "0.575726480"
    ],
    [
      "-2.061957865",
      "0.581423492"
    ],
    [
      "-2.068454484",
      "0.587085499"
    ],
    [
      "-2.074420890",
      "0.592306596"
    ],
    [
      "-2.080634427",
      "0.598237908"
    ],
    [
      "-2.086812171",
      "0.604160491"
    ],
    [
      "-2.093719157",
      "0.610890802"
    ],
    [
      "-2.100655221",
      "0.617682384"
    ],
    [
      "-2.106104259",
      "0.623202724"
    ],
    [
      "-2.111380516",
      "0.628568710"
    ],
    [
      "-2.116639073",
      "0.633937065"
    ],
    [
      "-2.121526113",
      "0.638948787"
    ],
    [
      "-2.127532980",
      "0.645139019"
    ],
    [
      "-2.134526144",
      "0.652379637"
    ],
    [
      "-2.139727772",
      "0.657804854"
    ],
    [
      "-2.145778985",
      "0.664148228"
    ],
    [
      "-2.152286300",
      "0.671000994"
    ],
    [
      "-2.157589139",
      "0.677089617"
    ],
    [
      "-2.162815439",
      "0.683115407"
    ],
    [
      "-2.168398965",
      "0.689580740"
    ],
    [
      "-2.172167292",
      "0.693989999"
    ],
    [
      "-2.177793450",
      "0.700699924"
    ],
    [
      "-2.183399417",
      "0.707416439"
    ],
    [
      "-2.188993423",
      "0.714149388"
    ],
    [
      "-2.193484882",
      "0.719716005"
    ],
    [
      "-2.199464871",
      "0.727180264"
    ],
    [
      "-2.205426048",
      "0.734658825"
    ],
    [
      "-2.210601935",
      "0.741206290"
    ],
    [
      "-2.216159759",
      "0.748294229"
    ],
    [
      "-2.222136259",
      "0.755954019"
    ],
    [
      "-2.231068171",
      "0.767454097"
    ],
    [
      "-2.236261270",
      "0.774171957"
    ],
    [
      "-2.241808735",
      "0.781382190"
    ],
    [
      "-2.246672937",
      "0.787732975"
    ],
    [
      "-2.250933017",
      "0.793334439"
    ],
    [
      "-2.255617597",
      "0.799518170"
    ],
    [
      "-2.264381179",
      "0.811130089"
    ],
    [
      "-2.269495841",
      "0.817936686"
    ],
    [
      "-2.274886436",
      "0.825195498"
    ],
    [
      "-2.279552576",
      "0.831506893"
    ],
    [
      "-2.284587187",
      "0.838346192"
    ],
    [
      "-2.289442143",
      "0.844971694"
    ],
    [
      "-2.295321447",
      "0.853075224"
    ],
    [
      "-2.300287535",
      "0.859953684"
    ],
    [
      "-2.305238711",
      "0.866842438"
    ],
    [
      "-2.308754859",
      "0.871770659"
    ],
    [
      "-2.315308308",
      "0.881016638"
    ],
    [
      "-2.319096051",
      "0.886378105"
    ],
    [
      "-2.324824167",
      "0.894565805"
    ],
    [
      "-2.328835225",
      "0.900390759"
    ],
    [
      "-2.331613584",
      "0.904457776"
    ],
    [
      "-2.336000055",
      "0.910984853"
    ],
    [
      "-2.340979771",
      "0.918680983"
    ],
    [
      "-2.343953456",
      "0.923488725"
    ],
    [
      "-2.347034609",
      "0.928597000"
    ],
    [
      "-2.353270452",
      "0.939063912"
    ],
    [
      "-2.358156215",
      "0.947406872"
    ],
    [
      "-2.363234588",
      "0.956210870"
    ],
    [
      "-2.366226307",
      "0.961440780"
    ],
    [
      "-2.369370355",
      "0.966992287"
    ],
    [
      "-2.372675733",
      "0.972907467"
    ],
    [
      "-2.375958393",
      "0.978810518"
    ],
    [
      "-2.379591873",
      "0.985407840"
    ],
    [
      "-2.383429899",
      "0.992519540"
    ],
    [
      "-2.384823263",
      "0.995142552"
    ]
  ],
  "poses": [
    {
      "turn": "0.000000000",
      "x": "2.387467864",
      "y": "-0.000054860"
    },
    {
      "turn": "-0.002280436",
      "x": "2.374567365",
      "y": "0.004709438"
    },
    {
      "turn": "-0.005357391",
      "x": "2.356997786",
      "y": "0.011115384"
    },
    {
      "turn": "-0.008423895",
      "x": "2.339350783",
      "y": "0.017507050"
    },
    {
      "turn": "-0.011695364",
      "x": "2.320371003",
      "y": "0.024342411"
    },
    {
      "turn": "-0.014023471",
      "x": "2.306266541",
      "y": "0.029222975"
    },
    {
      "turn": "-0.017002193",
      "x": "2.287528608",
      "y": "0.035443302"
    },
    {
      "turn": "-0.018453847",
      "x": "2.278404215",
      "y": "0.038470475"
    },
    {
      "turn": "-0.019618805",
      "x": "2.271092012",
      "y": "0.040937711"
    },
    {
      "turn": "-0.023417595",
      "x": "2.247250867",
      "y": "0.048982760"
    },
    {
      "turn": "-0.027637948",
      "x": "2.220853679",
      "y": "0.057959269"
    },
    {
      "turn": "-0.029731571",
      "x": "2.207763021",
      "y": "0.062430960"
    },
    {
      "turn": "-0.032448167",
      "x": "2.190879728",
      "y": "0.068276576"
    },
    {
      "turn": "-0.034536586",
      "x": "2.177938456",
      "y": "0.072766239"
    },
    {
      "turn": "-0.035575453",
      "x": "2.171513781",
      "y": "0.075011807"
    },
    {
      "turn": "-0.036620061",
      "x": "2.165060219",
      "y": "0.077275847"
    },
    {
      "turn": "-0.040539984",
      "x": "2.141033639",
      "y": "0.085775846"
    },
    {
      "turn": "-0.044388763",
      "x": "2.117498085",
      "y": "0.094142568"
    },
    {
      "turn": "-0.048091770",
      "x": "2.094541146",
      "y": "0.102228052"
    },
    {
      "turn": "-0.051778132",
      "x": "2.071476123",
      "y": "0.110300507"
    },
    {
      "turn": "-0.054774134",
      "x": "2.051664255",
      "y": "0.116883843"
    },
    {
      "turn": "-0.057793757",
      "x": "2.031752999",
      "y": "0.123546987"
    },
    {
      "turn": "-0.061148487",
      "x": "2.009745185",
      "y": "0.130972849"
    },
    {
      "turn": "-0.063587926",
      "x": "1.993479196",
      "y": "0.136382244"
    },
    {
      "turn": "-0.065746876",
      "x": "1.979014678",
      "y": "0.141192686"
    },
    {
      "turn": "-0.068833639",
      "x": "1.957122920",
      "y": "0.148077434"
    },
    {
      "turn": "-0.071825272",
      "x": "1.935911975",
      "y": "0.154778262"
    },
    {
      "turn": "-0.074860873",
      "x": "1.914380693",
      "y": "0.161600760"
    },
    {
      "turn": "-0.077507378",
      "x": "1.895516740",
      "y": "0.167563411"
    },
    {
      "turn": "-0.078715817",
      "x": "1.886880274",
      "y": "0.170297716"
    },
    {
      "turn": "-0.080047914",
      "x": "1.877384146",
      "y": "0.173310041"
    },
    {
      "turn": "-0.082790204",
      "x": "1.857894678",
      "y": "0.179531637"
    },
    {
      "turn": "-0.085458103",
      "x": "1.839056653",
      "y": "0.185595058"
    },
    {
      "turn": "-0.087760415",
      "x": "1.822950201",
      "y": "0.190848854"
    },
    {
      "turn": "-0.090111452",
      "x": "1.806597013",
      "y": "0.196223231"
    },
    {
      "turn": "-0.092567868",
      "x": "1.789666734",
      "y": "0.201859137"
    },
    {
      "turn": "-0.095338194",
      "x": "1.770658558",
      "y": "0.208230600"
    },
    {
      "turn": "-0.097027489",
      "x": "1.759161845",
      "y": "0.212118984"
    },
    {
      "turn": "-0.099507370",
      "x": "1.742329209",
      "y": "0.217842321"
    },
    {
      "turn": "-0.101705304",
      "x": "1.726441281",
      "y": "0.224142909"
    },
    {
      "turn": "-0.102479177",
      "x": "1.720847867",
      "y": "0.226365631"
    },
    {
      "turn": "-0.103307652",
      "x": "1.714886061",
      "y": "0.228747066"
    },
    {
      "turn": "-0.104226566",
      "x": "1.708277872",
      "y": "0.231384352"
    },
    {
      "turn": "-0.106168036",
      "x": "1.694397554",
      "y": "0.236971970"
    },
    {
      "turn": "-0.107999659",
      "x": "1.681361582",
      "y": "0.242258520"
    },
    {
      "turn": "-0.112062459",
      "x": "1.652651348",
      "y": "0.253991897"
    },
    {
      "turn": "-0.116123416",
      "x": "1.624240275",
      "y": "0.265738316"
    },
    {
      "turn": "-0.118519007",
      "x": "1.607678452",
      "y": "0.272679158"
    },
    {
      "turn": "-0.121117315",
      "x": "1.589758476",
      "y": "0.280223436"
    },
    {
      "turn": "-0.123857466",
      "x": "1.570990722",
      "y": "0.288193431"
    },
    {
      "turn": "-0.126492476",
      "x": "1.553103581",
      "y": "0.295897554"
    },
    {
      "turn": "-0.129450891",
      "x": "1.532770786",
      "y": "0.304572972"
    },
    {
      "turn": "-0.132374793",
      "x": "1.512320601",
      "y": "0.313178422"
    },
    {
      "turn": "-0.135083891",
      "x": "1.493335904",
      "y": "0.321202478"
    },
    {
      "turn": "-0.135585135",
      "x": "1.489850024",
      "y": "0.322681807"
    },
    {
      "turn": "-0.136064328",
      "x": "1.486518364",
      "y": "0.324105265"
    },
    {
      "turn": "-0.137072382",
      "x": "1.479519354",
      "y": "0.327089016"
    },
    {
      "turn": "-0.140054315",
      "x": "1.458947492",
      "y": "0.335972149"
    },
    {
      "turn": "-0.143415331",
      "x": "1.435907585",
      "y": "0.345985269"
    },
    {
      "turn": "-0.147232470",
      "x": "1.409801836",
      "y": "0.357397950"
    },
    {
      "turn": "-0.150694354",
      "x": "1.386251744",
      "y": "0.367780599"
    },
    {
      "turn": "-0.154296925",
      "x": "1.361995342",
      "y": "0.378625207"
    },
    {
      "turn": "-0.154837996",
      "x": "1.358345120",
      "y": "0.380264287"
    },
    {
      "turn": "-0.155397690",
      "x": "1.354581923",
      "y": "0.381960141"
    },
    {
      "turn": "-0.156577889",
      "x": "1.346644096",
      "y": "0.385534966"
    },
    {
      "turn": "-0.159144836",
      "x": "1.329344650",
      "y": "0.393311504"
    },
    {
      "turn": "-0.162211438",
      "x": "1.308742016",
      "y": "0.402647903"
    },
    {
      "turn": "-0.165087953",
      "x": "1.286053186",
      "y": "0.411439883"
    },
    {
      "turn": "-0.168860021",
      "x": "1.256309557",
      "y": "0.423024768"
    },
    {
      "turn": "-0.171607171",
      "x": "1.234568374",
      "y": "0.431511863"
    },
    {
      "turn": "-0.175311057",
      "x": "1.205198721",
      "y": "0.443035417"
    },
    {
      "turn": "-0.178137132",
      "x": "1.182587985",
      "y": "0.451855025"
    },
    {
      "turn": "-0.180098250",
      "x": "1.166717178",
      "y": "0.458041723"
    },
    {
      "turn": "-0.181891876",
      "x": "1.152156889",
      "y": "0.463697739"
    },
    {
      "turn": "-0.184337331",
      "x": "1.131825704",
      "y": "0.471459333"
    },
    {
      "turn": "-0.185733952",
      "x": "1.120161001",
      "y": "0.475908463"
    },
    {
      "turn": "-0.186445501",
      "x": "1.114165430",
      "y": "0.478162860"
    },
    {
      "turn": "-0.187351057",
      "x": "1.106534863",
      "y": "0.481059080"
    },
    {
      "turn": "-0.189258628",
      "x": "1.090305463",
      "y": "0.487183305"
    },
    {
      "turn": "-0.192303489",
      "x": "1.063121672",
      "y": "0.497755054"
    },
    {
      "turn": "-0.192470289",
      "x": "1.058566165",
      "y": "0.499840080"
    },
    {
      "turn": "-0.192305693",
      "x": "1.051652788",
      "y": "0.503127434"
    },
    {
      "turn": "-0.192218302",
      "x": "1.047678230",
      "y": "0.504992008"
    },
    {
      "turn": "-0.192126997",
      "x": "1.043525131",
      "y": "0.506938580"
    },
    {
      "turn": "-0.191970328",
      "x": "1.036397854",
      "y": "0.510274988"
    },
    {
      "turn": "-0.191779137",
      "x": "1.026740490",
      "y": "0.514721671"
    },
    {
      "turn": "-0.191596823",
      "x": "1.017529319",
      "y": "0.518954819"
    },
    {
      "turn": "-0.191486732",
      "x": "1.011125396",
      "y": "0.521841891"
    },
    {
      "turn": "-0.191337844",
      "x": "1.002421129",
      "y": "0.525758536"
    },
    {
      "turn": "-0.191250920",
      "x": "0.997338698",
      "y": "0.528042674"
    },
    {
      "turn": "-0.191167894",
      "x": "0.992483644",
      "y": "0.530222702"
    },
    {
      "turn": "-0.191109553",
      "x": "0.988598461",
      "y": "0.531941351"
    },
    {
      "turn": "-0.191048371",
      "x": "0.984524324",
      "y": "0.533742480"
    },
    {
      "turn": "-0.190975457",
      "x": "0.979668098",
      "y": "0.535887839"
    },
    {
      "turn": "-0.190903202",
      "x": "0.974855403",
      "y": "0.538012348"
    },
    {
      "turn": "-0.190849393",
      "x": "0.970017275",
      "y": "0.540090223"
    },
    {
      "turn": "-0.190792745",
      "x": "0.964923513",
      "y": "0.542276598"
    },
    {
      "turn": "-0.190652702",
      "x": "0.952329270",
      "y": "0.547676692"
    },
    {
      "turn": "-0.190603904",
      "x": "0.945524511",
      "y": "0.550512304"
    },
    {
      "turn": "-0.190561021",
      "x": "0.938734402",
      "y": "0.553323379"
    },
    {
      "turn": "-0.190497748",
      "x": "0.922625448",
      "y": "0.559876406"
    },
    {
      "turn": "-0.190983344",
      "x": "0.920862130",
      "y": "0.560498184"
    },
    {
      "turn": "-0.191515462",
      "x": "0.918932200",
      "y": "0.561183092"
    },
    {
      "turn": "-0.192634009",
      "x": "0.914886217",
      "y": "0.562631708"
    },
    {
      "turn": "-0.195122924",
      "x": "0.905948847",
      "y": "0.565744911"
    },
    {
      "turn": "-0.196340633",
      "x": "0.901525868",
      "y": "0.567318919"
    },
    {
      "turn": "-0.197005642",
      "x": "0.899120960",
      "y": "0.568181094"
    },
    {
      "turn": "-0.197681167",
      "x": "0.896679608",
      "y": "0.569065294"
    },
    {
      "turn": "-0.201105023",
      "x": "0.884385212",
      "y": "0.573437762"
    },
    {
      "turn": "-0.203670393",
      "x": "0.875120398",
      "y": "0.576803231"
    },
    {
      "turn": "-0.205120289",
      "x": "0.869914042",
      "y": "0.578724642"
    },
    {
      "turn": "-0.206402245",
      "x": "0.865323982",
      "y": "0.580448100"
    },
    {
      "turn": "-0.210618514",
      "x": "0.850182036",
      "y": "0.585995210"
    },
    {
      "turn": "-0.211964788",
      "x": "0.845376157",
      "y": "0.587792753"
    },
    {
      "turn": "-0.213208105",
      "x": "0.840952010",
      "y": "0.589473050"
    },
    {
      "turn": "-0.218032836",
      "x": "0.823284807",
      "y": "0.596085459"
    },
    {
      "turn": "-0.222117853",
      "x": "0.807965868",
      "y": "0.601950092"
    },
    {
      "turn": "-0.225136224",
      "x": "0.796748125",
      "y": "0.606242249"
    },
    {
      "turn": "-0.232947269",
      "x": "0.746544360",
      "y": "0.625346104"
    },
    {
      "turn": "-0.237172156",
      "x": "0.715904013",
      "y": "0.637083258"
    },
    {
      "turn": "-0.240191761",
      "x": "0.691518790",
      "y": "0.646250040"
    },
    {
      "turn": "-0.242355265",
      "x": "0.673554096",
      "y": "0.652860367"
    },
    {
      "turn": "-0.243269127",
      "x": "0.665725795",
      "y": "0.655660009"
    },
    {
      "turn": "-0.244190919",
      "x": "0.657778526",
      "y": "0.658490005"
    },
    {
      "turn": "-0.247398192",
      "x": "0.645746727",
      "y": "0.668402814"
    },
    {
      "turn": "-0.250558305",
      "x": "0.633870099",
      "y": "0.678173781"
    },
    {
      "turn": "-0.254568026",
      "x": "0.618781424",
      "y": "0.690626540"
    },
    {
      "turn": "-0.256210040",
      "x": "0.612588803",
      "y": "0.695752901"
    },
    {
      "turn": "-0.258293431",
      "x": "0.604744801",
      "y": "0.702310218"
    },
    {
      "turn": "-0.261992267",
      "x": "0.590857645",
      "y": "0.714067926"
    },
    {
      "turn": "-0.264671271",
      "x": "0.580804382",
      "y": "0.722622451"
    },
    {
      "turn": "-0.266650098",
      "x": "0.573385355",
      "y": "0.728974489"
    },
    {
      "turn": "-0.267995232",
      "x": "0.568348536",
      "y": "0.733293993"
    },
    {
      "turn": "-0.269392406",
      "x": "0.563137768",
      "y": "0.737796300"
    },
    {
      "turn": "-0.272827120",
      "x": "0.550308472",
      "y": "0.748914467"
    },
    {
      "turn": "-0.274029772",
      "x": "0.545817107",
      "y": "0.752823249"
    },
    {
      "turn": "-0.275432934",
      "x": "0.540577891",
      "y": "0.757418758"
    },
    {
      "turn": "-0.276930358",
      "x": "0.535009761",
      "y": "0.762353469"
    },
    {
      "turn": "-0.279125813",
      "x": "0.526837352",
      "y": "0.769650806"
    },
    {
      "turn": "-0.281553298",
      "x": "0.517829685",
      "y": "0.777727531"
    },
    {
      "turn": "-0.286819272",
      "x": "0.498185572",
      "y": "0.795262990"
    },
    {
      "turn": "-0.289091527",
      "x": "0.489672219",
      "y": "0.802833384"
    },
    {
      "turn": "-0.291380373",
      "x": "0.481124751",
      "y": "0.810427140"
    },
    {
      "turn": "-0.293941786",
      "x": "0.471499715",
      "y": "0.818909535"
    },
    {
      "turn": "-0.298401284",
      "x": "0.454808732",
      "y": "0.833794739"
    },
    {
      "turn": "-0.302411032",
      "x": "0.439732765",
      "y": "0.847076577"
    },
    {
      "turn": "-0.304983549",
      "x": "0.430036483",
      "y": "0.855648534"
    },
    {
      "turn": "-0.306910001",
      "x": "0.422806907",
      "y": "0.862120331"
    },
    {
      "turn": "-0.308393098",
      "x": "0.417219052",
      "y": "0.867104873"
    },
    {
      "turn": "-0.309897522",
      "x": "0.411564312",
      "y": "0.872181347"
    },
    {
      "turn": "-0.311193668",
      "x": "0.406692898",
      "y": "0.876592760"
    },
    {
      "turn": "-0.312905746",
      "x": "0.400280217",
      "y": "0.882447726"
    },
    {
      "turn": "-0.316279242",
      "x": "0.387618706",
      "y": "0.894036718"
    },
    {
      "turn": "-0.320921717",
      "x": "0.370314305",
      "y": "0.910159304"
    },
    {
      "turn": "-0.324493797",
      "x": "0.357100884",
      "y": "0.922705803"
    },
    {
      "turn": "-0.325761053",
      "x": "0.352448714",
      "y": "0.927185200"
    },
    {
      "turn": "-0.328657823",
      "x": "0.341823892",
      "y": "0.937474577"
    },
    {
      "turn": "-0.330038777",
      "x": "0.336789466",
      "y": "0.942407395"
    },
    {
      "turn": "-0.331136698",
      "x": "0.332801087",
      "y": "0.946347449"
    },
    {
      "turn": "-0.332237717",
      "x": "0.328813554",
      "y": "0.950307036"
    },
    {
      "turn": "-0.334899843",
      "x": "0.319164279",
      "y": "0.959918074"
    },
    {
      "turn": "-0.335530734",
      "x": "0.316895156",
      "y": "0.962205620"
    },
    {
      "turn": "-0.336166656",
      "x": "0.314613108",
      "y": "0.964510395"
    },
    {
      "turn": "-0.338091335",
      "x": "0.307733610",
      "y": "0.971512004"
    },
    {
      "turn": "-0.339120443",
      "x": "0.304060480",
      "y": "0.975276385"
    },
    {
      "turn": "-0.340152578",
      "x": "0.300386677",
      "y": "0.979061434"
    },
    {
      "turn": "-0.342723218",
      "x": "0.291288235",
      "y": "0.988534837"
    },
    {
      "turn": "-0.344196763",
      "x": "0.286119269",
      "y": "0.994021570"
    },
    {
      "turn": "-0.346171154",
      "x": "0.279233517",
      "y": "1.001400031"
    },
    {
      "turn": "-0.350048897",
      "x": "0.265772661",
      "y": "1.015987411"
    },
    {
      "turn": "-0.354959679",
      "x": "0.248857439",
      "y": "1.034470462"
    },
    {
      "turn": "-0.358345463",
      "x": "0.237230087",
      "y": "1.047235314"
    },
    {
      "turn": "-0.361791802",
      "x": "0.225342920",
      "y": "1.060257694"
    },
    {
      "turn": "-0.365111124",
      "x": "0.214004440",
      "y": "1.072752024"
    },
    {
      "turn": "-0.367114915",
      "x": "0.207185577",
      "y": "1.080325455"
    },
    {
      "turn": "-0.370552154",
      "x": "0.195464686",
      "y": "1.093309509"
    },
    {
      "turn": "-0.372160297",
      "x": "0.189985222",
      "y": "1.099410413"
    },
    {
      "turn": "-0.375746576",
      "x": "0.177866149",
      "y": "1.112981914"
    },
    {
      "turn": "-0.377902853",
      "x": "0.170610482",
      "y": "1.121185453"
    },
    {
      "turn": "-0.386376983",
      "x": "0.142273647",
      "y": "1.153388961"
    },
    {
      "turn": "-0.395449319",
      "x": "0.111286644",
      "y": "1.186842270"
    },
    {
      "turn": "-0.399269391",
      "x": "0.098277210",
      "y": "1.200847549"
    },
    {
      "turn": "-0.403124028",
      "x": "0.085297469",
      "y": "1.214963245"
    },
    {
      "turn": "-0.404289107",
      "x": "0.081390788",
      "y": "1.219249643"
    },
    {
      "turn": "-0.409214326",
      "x": "0.065032068",
      "y": "1.237279265"
    },
    {
      "turn": "-0.412302497",
      "x": "0.054895929",
      "y": "1.248580294"
    },
    {
      "turn": "-0.415408592",
      "x": "0.044736175",
      "y": "1.259864966"
    },
    {
      "turn": "-0.419834840",
      "x": "0.030174938",
      "y": "1.275900008"
    },
    {
      "turn": "-0.424446185",
      "x": "0.015124672",
      "y": "1.292652336"
    },
    {
      "turn": "-0.429727794",
      "x": "-0.002006668",
      "y": "1.311916927"
    },
    {
      "turn": "-0.432876671",
      "x": "-0.012156631",
      "y": "1.323441848"
    },
    {
      "turn": "-0.438315357",
      "x": "-0.029686088",
      "y": "1.343277348"
    },
    {
      "turn": "-0.445844819",
      "x": "-0.054040498",
      "y": "1.370203900"
    },
    {
      "turn": "-0.450844119",
      "x": "-0.070259668",
      "y": "1.387864390"
    },
    {
      "turn": "-0.454957684",
      "x": "-0.083572882",
      "y": "1.402286320"
    },
    {
      "turn": "-0.458070882",
      "x": "-0.093533047",
      "y": "1.413237789"
    },
    {
      "turn": "-0.461075949",
      "x": "-0.103120267",
      "y": "1.423755048"
    },
    {
      "turn": "-0.464192771",
      "x": "-0.112963682",
      "y": "1.434643326"
    },
    {
      "turn": "-0.467707969",
      "x": "-0.124033898",
      "y": "1.446964393"
    },
    {
      "turn": "-0.471175046",
      "x": "-0.134833065",
      "y": "1.459038143"
    },
    {
      "turn": "-0.478506275",
      "x": "-0.157556553",
      "y": "1.484434601"
    },
    {
      "turn": "-0.481741806",
      "x": "-0.167491720",
      "y": "1.495600802"
    },
    {
      "turn": "-0.485650728",
      "x": "-0.179373314",
      "y": "1.509063084"
    },
    {
      "turn": "-0.489366041",
      "x": "-0.190517262",
      "y": "1.521906021"
    },
    {
      "turn": "-0.493273598",
      "x": "-0.202007054",
      "y": "1.535466857"
    },
    {
      "turn": "-0.498913335",
      "x": "-0.218226817",
      "y": "1.555152422"
    },
    {
      "turn": "-0.503940200",
      "x": "-0.232389546",
      "y": "1.572723111"
    },
    {
      "turn": "-0.509791332",
      "x": "-0.248507409",
      "y": "1.593199235"
    },
    {
      "turn": "-0.511420272",
      "x": "-0.252916830",
      "y": "1.598898757"
    },
    {
      "turn": "-0.512467423",
      "x": "-0.255737887",
      "y": "1.602574448"
    },
    {
      "turn": "-0.516695346",
      "x": "-0.267004226",
      "y": "1.617412768"
    },
    {
      "turn": "-0.519791575",
      "x": "-0.275134180",
      "y": "1.628303326"
    },
    {
      "turn": "-0.522108506",
      "x": "-0.281155610",
      "y": "1.636399417"
    },
    {
      "turn": "-0.523704083",
      "x": "-0.285268280",
      "y": "1.641984560"
    },
    {
      "turn": "-0.526564892",
      "x": "-0.292532640",
      "y": "1.651969333"
    },
    {
      "turn": "-0.530170283",
      "x": "-0.301619943",
      "y": "1.664502144"
    },
    {
      "turn": "-0.533310624",
      "x": "-0.309419886",
      "y": "1.675358197"
    },
    {
      "turn": "-0.537389226",
      "x": "-0.319349135",
      "y": "1.689437671"
    },
    {
      "turn": "-0.541174086",
      "x": "-0.328533863",
      "y": "1.702363497"
    },
    {
      "turn": "-0.541549418",
      "x": "-0.329432773",
      "y": "1.703652276"
    },
    {
      "turn": "-0.545433072",
      "x": "-0.338839637",
      "y": "1.716820743"
    },
    {
      "turn": "-0.549401883",
      "x": "-0.348315261",
      "y": "1.730230148"
    },
    {
      "turn": "-0.554560311",
      "x": "-0.360618357",
      "y": "1.747440453"
    },
    {
      "turn": "-0.556793243",
      "x": "-0.365932806",
      "y": "1.754858650"
    },
    {
      "turn": "-0.559449588",
      "x": "-0.372230366",
      "y": "1.763641779"
    },
    {
      "turn": "-0.562482256",
      "x": "-0.379337465",
      "y": "1.773606056"
    },
    {
      "turn": "-0.566231144",
      "x": "-0.388093384",
      "y": "1.785850080"
    },
    {
      "turn": "-0.569048417",
      "x": "-0.394569706",
      "y": "1.795030523"
    },
    {
      "turn": "-0.570554461",
      "x": "-0.397983358",
      "y": "1.799923520"
    },
    {
      "turn": "-0.572000058",
      "x": "-0.401233116",
      "y": "1.804623693"
    },
    {
      "turn": "-0.575628166",
      "x": "-0.409342806",
      "y": "1.816371395"
    },
    {
      "turn": "-0.579264157",
      "x": "-0.417352554",
      "y": "1.828109609"
    },
    {
      "turn": "-0.582859628",
      "x": "-0.425220974",
      "y": "1.839659223"
    },
    {
      "turn": "-0.586533948",
      "x": "-0.433142905",
      "y": "1.851441219"
    },
    {
      "turn": "-0.590314399",
      "x": "-0.441207468",
      "y": "1.863487122"
    },
    {
      "turn": "-0.593289390",
      "x": "-0.447447762",
      "y": "1.872944899"
    },
    {
      "turn": "-0.597118402",
      "x": "-0.455348915",
      "y": "1.885077119"
    },
    {
      "turn": "-0.602765998",
      "x": "-0.466868353",
      "y": "1.902814322"
    },
    {
      "turn": "-0.607472715",
      "x": "-0.476365547",
      "y": "1.917449089"
    },
    {
      "turn": "-0.608246794",
      "x": "-0.477904499",
      "y": "1.922723739"
    },
    {
      "turn": "-0.609317949",
      "x": "-0.480041570",
      "y": "1.930115993"
    },
    {
      "turn": "-0.611264083",
      "x": "-0.483901436",
      "y": "1.943072679"
    },
    {
      "turn": "-0.612970612",
      "x": "-0.487257620",
      "y": "1.954174361"
    },
    {
      "turn": "-0.614381406",
      "x": "-0.490012531",
      "y": "1.963221313"
    },
    {
      "turn": "-0.617141615",
      "x": "-0.495376431",
      "y": "1.980699514"
    },
    {
      "turn": "-0.622919546",
      "x": "-0.506033030",
      "y": "2.014740136"
    },
    {
      "turn": "-0.633418462",
      "x": "-0.519827502",
      "y": "2.063964890"
    },
    {
      "turn": "-0.639751569",
      "x": "-0.524171559",
      "y": "2.082685344"
    },
    {
      "turn": "-0.646651646",
      "x": "-0.528793170",
      "y": "2.102869844"
    },
    {
      "turn": "-0.648149530",
      "x": "-0.529685865",
      "y": "2.107046014"
    },
    {
      "turn": "-0.649454220",
      "x": "-0.530452816",
      "y": "2.110688645"
    },
    {
      "turn": "-0.650255134",
      "x": "-0.530949712",
      "y": "2.112928256"
    },
    {
      "turn": "-0.651120249",
      "x": "-0.531481764",
      "y": "2.115348991"
    },
    {
      "turn": "-0.654247216",
      "x": "-0.533361937",
      "y": "2.124095892"
    },
    {
      "turn": "-0.655144040",
      "x": "-0.533898984",
      "y": "2.126580732"
    },
    {
      "turn": "-0.656116704",
      "x": "-0.534474765",
      "y": "2.129276808"
    },
    {
      "turn": "-0.658413783",
      "x": "-0.535809085",
      "y": "2.135650503"
    },
    {
      "turn": "-0.659910033",
      "x": "-0.536714395",
      "y": "2.139810926"
    },
    {
      "turn": "-0.661368726",
      "x": "-0.537580709",
      "y": "2.143865292"
    },
    {
      "turn": "-0.665637317",
      "x": "-0.540009234",
      "y": "2.155618960"
    },
    {
      "turn": "-0.668082066",
      "x": "-0.541363828",
      "y": "2.162366007"
    },
    {
      "turn": "-0.672426939",
      "x": "-0.543663959",
      "y": "2.174211030"
    },
    {
      "turn": "-0.673768714",
      "x": "-0.544421815",
      "y": "2.177883395"
    },
    {
      "turn": "-0.675114792",
      "x": "-0.545171789",
      "y": "2.181571953"
    },
    {
      "turn": "-0.677954005",
      "x": "-0.546670795",
      "y": "2.189249603"
    },
    {
      "turn": "-0.679961119",
      "x": "-0.547697251",
      "y": "2.194675207"
    },
    {
      "turn": "-0.679861829",
      "x": "-0.554824223",
      "y": "2.212074433"
    },
    {
      "turn": "-0.679829348",
      "x": "-0.555961102",
      "y": "2.214743108"
    },
    {
      "turn": "-0.679796166",
      "x": "-0.557119670",
      "y": "2.217461824"
    },
    {
      "turn": "-0.679688403",
      "x": "-0.560879352",
      "y": "2.226278119"
    },
    {
      "turn": "-0.679564699",
      "x": "-0.565199219",
      "y": "2.236399124"
    },
    {
      "turn": "-0.679504285",
      "x": "-0.566632616",
      "y": "2.239630658"
    },
    {
      "turn": "-0.679441088",
      "x": "-0.568131964",
      "y": "2.243009204"
    },
    {
      "turn": "-0.679283757",
      "x": "-0.571868356",
      "y": "2.251421751"
    },
    {
      "turn": "-0.679192347",
      "x": "-0.574026459",
      "y": "2.256272242"
    },
    {
      "turn": "-0.679000914",
      "x": "-0.577926700",
      "y": "2.264857845"
    },
    {
      "turn": "-0.678917882",
      "x": "-0.579620170",
      "y": "2.268581955"
    },
    {
      "turn": "-0.678839795",
      "x": "-0.581213726",
      "y": "2.272084289"
    },
    {
      "turn": "-0.678748993",
      "x": "-0.582924608",
      "y": "2.275796194"
    },
    {
      "turn": "-0.678654871",
      "x": "-0.584699301",
      "y": "2.279643981"
    },
    {
      "turn": "-0.678476164",
      "x": "-0.588072284",
      "y": "2.286949877"
    },
    {
      "turn": "-0.678356858",
      "x": "-0.590095180",
      "y": "2.291245875"
    },
    {
      "turn": "-0.678220883",
      "x": "-0.592402879",
      "y": "2.296142240"
    },
    {
      "turn": "-0.677856462",
      "x": "-0.598599126",
      "y": "2.309265760"
    },
    {
      "turn": "-0.677665538",
      "x": "-0.601483136",
      "y": "2.315217177"
    },
    {
      "turn": "-0.677182304",
      "x": "-0.608767992",
      "y": "2.330200309"
    },
    {
      "turn": "-0.678527183",
      "x": "-0.613336769",
      "y": "2.342289577"
    },
    {
      "turn": "-0.681032382",
      "x": "-0.618388475",
      "y": "2.358345556"
    },
    {
      "turn": "-0.683529491",
      "x": "-0.623133076",
      "y": "2.373723677"
    },
    {
      "turn": "-0.685384424",
      "x": "-0.626635846",
      "y": "2.385097378"
    },
    {
      "turn": "-0.688690524",
      "x": "-0.632802755",
      "y": "2.405059784"
    },
    {
      "turn": "-0.690013823",
      "x": "-0.635251276",
      "y": "2.412916145"
    },
    {
      "turn": "-0.691375087",
      "x": "-0.637772920",
      "y": "2.421038478"
    },
    {
      "turn": "-0.694294796",
      "x": "-0.643145673",
      "y": "2.438124520"
    },
    {
      "turn": "-0.698238857",
      "x": "-0.650278561",
      "y": "2.460768870"
    },
    {
      "turn": "-0.701907581",
      "x": "-0.656871982",
      "y": "2.481544673"
    },
    {
      "turn": "-0.704364640",
      "x": "-0.661260105",
      "y": "2.495311000"
    },
    {
      "turn": "-0.706671692",
      "x": "-0.665329523",
      "y": "2.508200850"
    },
    {
      "turn": "-0.708186822",
      "x": "-0.667999831",
      "y": "2.516594661"
    },
    {
      "turn": "-0.709952638",
      "x": "-0.671089680",
      "y": "2.526404701"
    },
    {
      "turn": "-0.714170273",
      "x": "-0.678413094",
      "y": "2.549673742"
    },
    {
      "turn": "-0.715780110",
      "x": "-0.681166053",
      "y": "2.558487393"
    },
    {
      "turn": "-0.717755613",
      "x": "-0.684541398",
      "y": "2.569314909"
    },
    {
      "turn": "-0.720918345",
      "x": "-0.689925143",
      "y": "2.586575863"
    },
    {
      "turn": "-0.721793364",
      "x": "-0.691409969",
      "y": "2.590645584"
    },
    {
      "turn": "-0.722616326",
      "x": "-0.692803142",
      "y": "2.594480485"
    },
    {
      "turn": "-0.724607048",
      "x": "-0.696164442",
      "y": "2.603739885"
    },
    {
      "turn": "-0.729272495",
      "x": "-0.703943616",
      "y": "2.625378362"
    },
    {
      "turn": "-0.732907994",
      "x": "-0.709962586",
      "y": "2.642121464"
    },
    {
      "turn": "-0.738944451",
      "x": "-0.719830296",
      "y": "2.669799391"
    },
    {
      "turn": "-0.744669158",
      "x": "-0.729069437",
      "y": "2.696141068"
    },
    {
      "turn": "-0.748972550",
      "x": "-0.735942489",
      "y": "2.715878096"
    },
    {
      "turn": "-0.751670185",
      "x": "-0.740240012",
      "y": "2.728233301"
    },
    {
      "turn": "-0.752910515",
      "x": "-0.742212003",
      "y": "2.733913185"
    },
    {
      "turn": "-0.754195613",
      "x": "-0.744235521",
      "y": "2.739786736"
    },
    {
      "turn": "-0.757573669",
      "x": "-0.749578071",
      "y": "2.755241284"
    },
    {
      "turn": "-0.758960672",
      "x": "-0.751742961",
      "y": "2.761590079"
    },
    {
      "turn": "-0.760348535",
      "x": "-0.753899047",
      "y": "2.767935473"
    },
    {
      "turn": "-0.761783563",
      "x": "-0.756123833",
      "y": "2.774519809"
    },
    {
      "turn": "-0.763130430",
      "x": "-0.758212773",
      "y": "2.780699964"
    },
    {
      "turn": "-0.766932115",
      "x": "-0.764051243",
      "y": "2.798183023"
    },
    {
      "turn": "-0.770752160",
      "x": "-0.769888249",
      "y": "2.815586574"
    },
    {
      "turn": "-0.775340249",
      "x": "-0.776822486",
      "y": "2.836066271"
    },
    {
      "turn": "-0.778526493",
      "x": "-0.781601448",
      "y": "2.850082794"
    },
    {
      "turn": "-0.780877738",
      "x": "-0.785107866",
      "y": "2.860419339"
    },
    {
      "turn": "-0.783138436",
      "x": "-0.788444492",
      "y": "2.870366647"
    },
    {
      "turn": "-0.788252228",
      "x": "-0.795961120",
      "y": "2.892846261"
    },
    {
      "turn": "-0.793735066",
      "x": "-0.803948097",
      "y": "2.917077647"
    },
    {
      "turn": "-0.799508016",
      "x": "-0.812276368",
      "y": "2.942606905"
    },
    {
      "turn": "-0.805757822",
      "x": "-0.821201387",
      "y": "2.970306177"
    },
    {
      "turn": "-0.812069739",
      "x": "-0.830120557",
      "y": "2.998345581"
    },
    {
      "turn": "-0.815538442",
      "x": "-0.834991383",
      "y": "3.013790780"
    },
    {
      "turn": "-0.819017799",
      "x": "-0.839833415",
      "y": "3.029276277"
    },
    {
      "turn": "-0.826018688",
      "x": "-0.847160154",
      "y": "3.058410270"
    },
    {
      "turn": "-0.832478723",
      "x": "-0.853833727",
      "y": "3.085320555"
    },
    {
      "turn": "-0.835714148",
      "x": "-0.857147362",
      "y": "3.098842586"
    },
    {
      "turn": "-0.837180745",
      "x": "-0.858648429",
      "y": "3.104978823"
    },
    {
      "turn": "-0.838079340",
      "x": "-0.859558206",
      "y": "3.108740057"
    },
    {
      "turn": "-0.838922862",
      "x": "-0.860409815",
      "y": "3.112274606"
    },
    {
      "turn": "-0.839829971",
      "x": "-0.861325970",
      "y": "3.116065082"
    },
    {
      "turn": "-0.840686612",
      "x": "-0.862190322",
      "y": "3.119646732"
    },
    {
      "turn": "-0.841720264",
      "x": "-0.863231394",
      "y": "3.123976960"
    },
    {
      "turn": "-0.842803025",
      "x": "-0.864320152",
      "y": "3.128522224"
    },
    {
      "turn": "-0.847873148",
      "x": "-0.869378890",
      "y": "3.149856264"
    },
    {
      "turn": "-0.853515236",
      "x": "-0.874959593",
      "y": "3.173645838"
    },
    {
      "turn": "-0.858062868",
      "x": "-0.879409729",
      "y": "3.192702721"
    },
    {
      "turn": "-0.862590622",
      "x": "-0.883795619",
      "y": "3.211552600"
    },
    {
      "turn": "-0.867121908",
      "x": "-0.888144563",
      "y": "3.230236360"
    },
    {
      "turn": "-0.871804181",
      "x": "-0.892596112",
      "y": "3.249454220"
    },
    {
      "turn": "-0.876633405",
      "x": "-0.897142317",
      "y": "3.269166750"
    },
    {
      "turn": "-0.881337094",
      "x": "-0.901532149",
      "y": "3.287202859"
    },
    {
      "turn": "-0.882222299",
      "x": "-0.902355346",
      "y": "3.290563349"
    },
    {
      "turn": "-0.883090778",
      "x": "-0.903159185",
      "y": "3.293861581"
    },
    {
      "turn": "-0.884724767",
      "x": "-0.904666948",
      "y": "3.300079315"
    },
    {
      "turn": "-0.889680752",
      "x": "-0.909210431",
      "y": "3.318535543"
    },
    {
      "turn": "-0.895524430",
      "x": "-0.914518615",
      "y": "3.340230661"
    },
    {
      "turn": "-0.901549165",
      "x": "-0.919925024",
      "y": "3.362542044"
    },
    {
      "turn": "-0.906041669",
      "x": "-0.923916469",
      "y": "3.378209170"
    },
    {
      "turn": "-0.912503847",
      "x": "-0.929613666",
      "y": "3.400475651"
    },
    {
      "turn": "-0.918426649",
      "x": "-0.934767887",
      "y": "3.420499024"
    },
    {
      "turn": "-0.925668337",
      "x": "-0.940985662",
      "y": "3.444649147"
    },
    {
      "turn": "-0.933557842",
      "x": "-0.947682232",
      "y": "3.470939299"
    },
    {
      "turn": "-0.937930189",
      "x": "-0.951361527",
      "y": "3.485512557"
    },
    {
      "turn": "-0.942514909",
      "x": "-0.955152873",
      "y": "3.500770426"
    },
    {
      "turn": "-0.949285846",
      "x": "-0.960707864",
      "y": "3.523211884"
    },
    {
      "turn": "-0.954721150",
      "x": "-0.965122169",
      "y": "3.541149790"
    },
    {
      "turn": "-0.961108423",
      "x": "-0.970214066",
      "y": "3.562135458"
    },
    {
      "turn": "-0.966749190",
      "x": "-0.974650435",
      "y": "3.580609541"
    },
    {
      "turn": "-0.970803612",
      "x": "-0.977807490",
      "y": "3.593768857"
    },
    {
      "turn": "-0.975646064",
      "x": "-0.981568072",
      "y": "3.609203354"
    },
    {
      "turn": "-0.981041195",
      "x": "-0.985704314",
      "y": "3.625271042"
    },
    {
      "turn": "-0.986261817",
      "x": "-0.989678154",
      "y": "3.640609224"
    },
    {
      "turn": "-0.991625752",
      "x": "-0.993745209",
      "y": "3.656193889"
    },
    {
      "turn": "-0.996541075",
      "x": "-0.997452572",
      "y": "3.670268489"
    },
    {
      "turn": "-1.000000000",
      "x": "-1.000054860",
      "y": "3.680030083"
    }
  ]
}

Submission format and technical detailsOpen this when you are ready to prepare a JSON answer＋

Instance parameters

{
  "corridor": "staircase"
}

The current leader's answer

{
  "polygon": [
    [
      "-2.387391369",
      "1.000054860"
    ],
    [
      "-1.387473950",
      "1.000054858"
    ],
    [
      "-1.381874370",
      "0.992663670"
    ],
    [
      "-1.378791798",
      "0.988616107"
    ],
    [
      "-1.371242302",
      "0.978997999"
    ],
    [
      "-1.366987729",
      "0.973621583"
    ],
    [
      "-1.356500780",
      "0.960731528"
    ],
    [
      "-1.352276968",
      "0.955687508"
    ],
    [
      "-1.343041318",
      "0.944743446"
    ],
    [
      "-1.338048633",
      "0.939278486"
    ],
    [
      "-1.332980102",
      "0.933770626"
    ],
    [
      "-1.327235395",
      "0.927938470"
    ],
    [
      "-1.319272863",
      "0.919923340"
    ],
    [
      "-1.307861205",
      "0.908594618"
    ],
    [
      "-1.302924442",
      "0.903759497"
    ],
    [
      "-1.297233585",
      "0.898211589"
    ],
    [
      "-1.290756657",
      "0.891931029"
    ],
    [
      "-1.285237793",
      "0.886649066"
    ],
    [
      "-1.278745504",
      "0.880470546"
    ],
    [
      "-1.271423408",
      "0.873541667"
    ],
    [
      "-1.265856125",
      "0.868354079"
    ],
    [
      "-1.255964850",
      "0.859180957"
    ],
    [
      "-1.248637011",
      "0.852427354"
    ],
    [
      "-1.241022343",
      "0.845493496"
    ],
    [
      "-1.234192109",
      "0.839314405"
    ],
    [
      "-1.225134887",
      "0.831180187"
    ],
    [
      "-1.218526997",
      "0.825278185"
    ],
    [
      "-1.211579340",
      "0.819109691"
    ],
    [
      "-1.206545448",
      "0.814709017"
    ],
    [
      "-1.200652980",
      "0.809581721"
    ],
    [
      "-1.193350751",
      "0.803262867"
    ],
    [
      "-1.184528126",
      "0.795924005"
    ],
    [
      "-1.175826972",
      "0.788741233"
    ],
    [
      "-1.170796285",
      "0.784719951"
    ],
    [
      "-1.165017872",
      "0.780120246"
    ],
    [
      "-1.157650587",
      "0.774288010"
    ],
    [
      "-1.149743476",
      "0.768611752"
    ],
    [
      "-1.141824895",
      "0.762963620"
    ],
    [
      "-1.133858483",
      "0.757353417"
    ],
    [
      "-1.125752327",
      "0.751681781"
    ],
    [
      "-1.117185959",
      "0.745755425"
    ],
    [
      "-1.108218100",
      "0.739594920"
    ],
    [
      "-1.101491377",
      "0.735163155"
    ],
    [
      "-1.094925747",
      "0.730860109"
    ],
    [
      "-1.088954005",
      "0.727022039"
    ],
    [
      "-1.082984421",
      "0.723203698"
    ],
    [
      "-1.073929460",
      "0.717967951"
    ],
    [
      "-1.064868744",
      "0.712764991"
    ],
    [
      "-1.055974467",
      "0.707753654"
    ],
    [
      "-1.047097921",
      "0.702786766"
    ],
    [
      "-1.038084935",
      "0.697846117"
    ],
    [
      "-1.029113935",
      "0.692963557"
    ],
    [
      "-1.021430435",
      "0.688892752"
    ],
    [
      "-1.013230040",
      "0.684574288"
    ],
    [
      "-1.005411857",
      "0.680530373"
    ],
    [
      "-0.997456859",
      "0.676455201"
    ],
    [
      "-0.989293511",
      "0.672315944"
    ],
    [
      "-0.980970144",
      "0.668123594"
    ],
    [
      "-0.971991867",
      "0.663647734"
    ],
    [
      "-0.958947624",
      "0.657194136"
    ],
    [
      "-0.951241054",
      "0.653405634"
    ],
    [
      "-0.943458089",
      "0.649613833"
    ],
    [
      "-0.930736012",
      "0.643456089"
    ],
    [
      "-0.922557401",
      "0.639526315"
    ],
    [
      "-0.914499266",
      "0.635702816"
    ],
    [
      "-0.906154317",
      "0.631769488"
    ],
    [
      "-0.896973143",
      "0.627470565"
    ],
    [
      "-0.889194273",
      "0.623876286"
    ],
    [
      "-0.881888979",
      "0.620523150"
    ],
    [
      "-0.874917035",
      "0.617151986"
    ],
    [
      "-0.867881215",
      "0.613769447"
    ],
    [
      "-0.857385726",
      "0.608781364"
    ],
    [
      "-0.844988659",
      "0.602951729"
    ],
    [
      "-0.836657190",
      "0.599060811"
    ],
    [
      "-0.827227204",
      "0.594691998"
    ],
    [
      "-0.817388974",
      "0.590191134"
    ],
    [
      "-0.808678871",
      "0.586238196"
    ],
    [
      "-0.800960643",
      "0.582757571"
    ],
    [
      "-0.791536850",
      "0.578562620"
    ],
    [
      "-0.782074752",
      "0.574382966"
    ],
    [
      "-0.770101383",
      "0.569137543"
    ],
    [
      "-0.760969426",
      "0.565167702"
    ],
    [
      "-0.752500549",
      "0.561546702"
    ],
    [
      "-0.743971007",
      "0.557925627"
    ],
    [
      "-0.734363590",
      "0.553891140"
    ],
    [
      "-0.720342278",
      "0.548052786"
    ],
    [
      "-0.710989597",
      "0.544192356"
    ],
    [
      "-0.701653047",
      "0.540504835"
    ],
    [
      "-0.692293388",
      "0.536839698"
    ],
    [
      "-0.682834879",
      "0.533334293"
    ],
    [
      "-0.673445985",
      "0.529885536"
    ],
    [
      "-0.664783217",
      "0.526779725"
    ],
    [
      "-0.657347259",
      "0.524135315"
    ],
    [
      "-0.648822076",
      "0.521123408"
    ],
    [
      "-0.634971004",
      "0.516284336"
    ],
    [
      "-0.624234388",
      "0.512571717"
    ],
    [
      "-0.613642031",
      "0.508982710"
    ],
    [
      "-0.602192627",
      "0.505151660"
    ],
    [
      "-0.590223714",
      "0.501257754"
    ],
    [
      "-0.577859642",
      "0.497292431"
    ],
    [
      "-0.568545051",
      "0.494376379"
    ],
    [
      "-0.560757127",
      "0.491961120"
    ],
    [
      "-0.553558009",
      "0.489744830"
    ],
    [
      "-0.543720329",
      "0.486749124"
    ],
    [
      "-0.533254715",
      "0.483599458"
    ],
    [
      "-0.524927256",
      "0.481145665"
    ],
    [
      "-0.517745935",
      "0.479062486"
    ],
    [
      "-0.509611049",
      "0.476767778"
    ],
    [
      "-0.501223240",
      "0.474424761"
    ],
    [
      "-0.491577256",
      "0.471784422"
    ],
    [
      "-0.481735071",
      "0.469123087"
    ],
    [
      "-0.470903291",
      "0.467239950"
    ],
    [
      "-0.460345228",
      "0.465434948"
    ],
    [
      "-0.452351711",
      "0.464131482"
    ],
    [
      "-0.442829222",
      "0.462600235"
    ],
    [
      "-0.431717673",
      "0.460844243"
    ],
    [
      "-0.421299443",
      "0.459299914"
    ],
    [
      "-0.410969552",
      "0.457797431"
    ],
    [
      "-0.401560246",
      "0.456501997"
    ],
    [
      "-0.390516334",
      "0.455014899"
    ],
    [
      "-0.382311525",
      "0.453932254"
    ],
    [
      "-0.371456297",
      "0.452632427"
    ],
    [
      "-0.360763716",
      "0.451388102"
    ],
    [
      "-0.353209293",
      "0.450573308"
    ],
    [
      "-0.345401986",
      "0.449748208"
    ],
    [
      "-0.338434146",
      "0.449062538"
    ],
    [
      "-0.331225384",
      "0.448367778"
    ],
    [
      "-0.322038765",
      "0.447617861"
    ],
    [
      "-0.311943416",
      "0.446820415"
    ],
    [
      "-0.301114810",
      "0.446037636"
    ],
    [
      "-0.286832821",
      "0.445158657"
    ],
    [
      "-0.268020547",
      "0.444156458"
    ],
    [
      "-0.260692437",
      "0.443788531"
    ],
    [
      "-0.253004238",
      "0.443373303"
    ],
    [
      "-0.245335755",
      "0.442983079"
    ],
    [
      "-0.240036339",
      "0.442687808"
    ],
    [
      "-0.232256315",
      "0.442275243"
    ],
    [
      "-0.215152894",
      "0.441434731"
    ],
    [
      "-0.193872748",
      "0.440488941"
    ],
    [
      "-0.166293843",
      "0.439424156"
    ],
    [
      "-0.146811224",
      "0.438761103"
    ],
    [
      "-0.122097299",
      "0.438133681"
    ],
    [
      "-0.114683995",
      "0.438011445"
    ],
    [
      "-0.107300894",
      "0.437904066"
    ],
    [
      "-0.083118124",
      "0.437684387"
    ],
    [
      "-0.068162442",
      "0.437836697"
    ],
    [
      "-0.062041208",
      "0.437986802"
    ],
    [
      "-0.054704432",
      "0.438195427"
    ],
    [
      "-0.042226753",
      "0.438595186"
    ],
    [
      "-0.034996978",
      "0.438971935"
    ],
    [
      "-0.021973991",
      "0.439712280"
    ],
    [
      "-0.014820345",
      "0.440238382"
    ],
    [
      "-0.007538999",
      "0.440806490"
    ],
    [
      "-0.000833343",
      "0.441366078"
    ],
    [
      "0.005311951",
      "0.441900916"
    ],
    [
      "0.019469028",
      "0.443309946"
    ],
    [
      "0.035575543",
      "0.444957345"
    ],
    [
      "0.043934907",
      "0.445871285"
    ],
    [
      "0.051473722",
      "0.446725864"
    ],
    [
      "0.058512826",
      "0.447547937"
    ],
    [
      "0.065595529",
      "0.448438804"
    ],
    [
      "0.074491366",
      "0.449589455"
    ],
    [
      "0.081731348",
      "0.450551777"
    ],
    [
      "0.088481378",
      "0.451502814"
    ],
    [
      "0.100524692",
      "0.453237861"
    ],
    [
      "0.114051581",
      "0.455246043"
    ],
    [
      "0.122611435",
      "0.456639227"
    ],
    [
      "0.131312631",
      "0.458077068"
    ],
    [
      "0.138426062",
      "0.459352351"
    ],
    [
      "0.146301545",
      "0.460798041"
    ],
    [
      "0.158212477",
      "0.458610053"
    ],
    [
      "0.170055655",
      "0.456608944"
    ],
    [
      "0.179968932",
      "0.455043709"
    ],
    [
      "0.187624046",
      "0.453884213"
    ],
    [
      "0.198037380",
      "0.452378861"
    ],
    [
      "0.207713803",
      "0.451004531"
    ],
    [
      "0.216572297",
      "0.449784338"
    ],
    [
      "0.226473736",
      "0.448504401"
    ],
    [
      "0.235068312",
      "0.447445854"
    ],
    [
      "0.245777700",
      "0.446195803"
    ],
    [
      "0.252585604",
      "0.445447169"
    ],
    [
      "0.259504525",
      "0.444708614"
    ],
    [
      "0.278349533",
      "0.442799251"
    ],
    [
      "0.285557741",
      "0.442089667"
    ],
    [
      "0.294914132",
      "0.441224949"
    ],
    [
      "0.304103785",
      "0.440512265"
    ],
    [
      "0.316812357",
      "0.439594235"
    ],
    [
      "0.326612670",
      "0.439043230"
    ],
    [
      "0.336264036",
      "0.438592468"
    ],
    [
      "0.347263190",
      "0.438244652"
    ],
    [
      "0.357825015",
      "0.437952030"
    ],
    [
      "0.366153456",
      "0.437768082"
    ],
    [
      "0.382083940",
      "0.437757587"
    ],
    [
      "0.401300596",
      "0.437937142"
    ],
    [
      "0.427885466",
      "0.438464419"
    ],
    [
      "0.449617390",
      "0.439118050"
    ],
    [
      "0.467394260",
      "0.439752358"
    ],
    [
      "0.483960823",
      "0.440398974"
    ],
    [
      "0.508964983",
      "0.441501896"
    ],
    [
      "0.530518084",
      "0.442593652"
    ],
    [
      "0.547378090",
      "0.443483474"
    ],
    [
      "0.552361690",
      "0.443757110"
    ],
    [
      "0.563631164",
      "0.444321455"
    ],
    [
      "0.574776198",
      "0.444900997"
    ],
    [
      "0.584952631",
      "0.445480494"
    ],
    [
      "0.594449306",
      "0.446106499"
    ],
    [
      "0.603911607",
      "0.446755007"
    ],
    [
      "0.610963991",
      "0.447307527"
    ],
    [
      "0.619212422",
      "0.447972793"
    ],
    [
      "0.627424780",
      "0.448729817"
    ],
    [
      "0.635460894",
      "0.449487981"
    ],
    [
      "0.647360750",
      "0.450735449"
    ],
    [
      "0.656731795",
      "0.451750011"
    ],
    [
      "0.666361309",
      "0.452902805"
    ],
    [
      "0.676226008",
      "0.454111189"
    ],
    [
      "0.688057494",
      "0.455675862"
    ],
    [
      "0.700928053",
      "0.457431672"
    ],
    [
      "0.718166323",
      "0.459947490"
    ],
    [
      "0.729225921",
      "0.461652925"
    ],
    [
      "0.739658461",
      "0.463289248"
    ],
    [
      "0.748780582",
      "0.464771771"
    ],
    [
      "0.758372239",
      "0.466369789"
    ],
    [
      "0.766522329",
      "0.467781455"
    ],
    [
      "0.774536631",
      "0.469186585"
    ],
    [
      "0.782718427",
      "0.471387522"
    ],
    [
      "0.791190102",
      "0.473703739"
    ],
    [
      "0.800991233",
      "0.476428703"
    ],
    [
      "0.810474537",
      "0.479095897"
    ],
    [
      "0.818413069",
      "0.481407650"
    ],
    [
      "0.826603289",
      "0.483814497"
    ],
    [
      "0.836713353",
      "0.486863511"
    ],
    [
      "0.845409395",
      "0.489512523"
    ],
    [
      "0.853077942",
      "0.491869914"
    ],
    [
      "0.861494881",
      "0.494484443"
    ],
    [
      "0.869468350",
      "0.496983561"
    ],
    [
      "0.876122058",
      "0.499085903"
    ],
    [
      "0.885624612",
      "0.502154629"
    ],
    [
      "0.894692072",
      "0.505117067"
    ],
    [
      "0.905088557",
      "0.508589455"
    ],
    [
      "0.915515244",
      "0.512124459"
    ],
    [
      "0.923258157",
      "0.514798907"
    ],
    [
      "0.935998232",
      "0.519234187"
    ],
    [
      "0.947278060",
      "0.523197263"
    ],
    [
      "0.959994865",
      "0.527717997"
    ],
    [
      "0.968913961",
      "0.530915461"
    ],
    [
      "0.976886954",
      "0.533869395"
    ],
    [
      "0.984813582",
      "0.536828316"
    ],
    [
      "0.993997284",
      "0.540424804"
    ],
    [
      "1.003351441",
      "0.544119953"
    ],
    [
      "1.014225165",
      "0.548588777"
    ],
    [
      "1.021888779",
      "0.551777722"
    ],
    [
      "1.033017260",
      "0.556434060"
    ],
    [
      "1.040016481",
      "0.559405652"
    ],
    [
      "1.048746087",
      "0.563142142"
    ],
    [
      "1.059129255",
      "0.567617913"
    ],
    [
      "1.066821199",
      "0.570954995"
    ],
    [
      "1.075776137",
      "0.574866282"
    ],
    [
      "1.086959915",
      "0.579822806"
    ],
    [
      "1.097415604",
      "0.584503174"
    ],
    [
      "1.104475251",
      "0.587696281"
    ],
    [
      "1.112579423",
      "0.591382840"
    ],
    [
      "1.122638130",
      "0.595993524"
    ],
    [
      "1.132589420",
      "0.600611720"
    ],
    [
      "1.140850513",
      "0.604474176"
    ],
    [
      "1.148386835",
      "0.608018526"
    ],
    [
      "1.158712561",
      "0.612923190"
    ],
    [
      "1.167052404",
      "0.616925039"
    ],
    [
      "1.174578551",
      "0.620560582"
    ],
    [
      "1.181294999",
      "0.623648359"
    ],
    [
      "1.189548666",
      "0.627466817"
    ],
    [
      "1.199251978",
      "0.631993323"
    ],
    [
      "1.208491960",
      "0.636363921"
    ],
    [
      "1.216446296",
      "0.640154764"
    ],
    [
      "1.224445422",
      "0.643990864"
    ],
    [
      "1.232830431",
      "0.648041357"
    ],
    [
      "1.245641678",
      "0.654285990"
    ],
    [
      "1.257480017",
      "0.660127879"
    ],
    [
      "1.267069903",
      "0.664879411"
    ],
    [
      "1.276749466",
      "0.669716978"
    ],
    [
      "1.286548454",
      "0.674662897"
    ],
    [
      "1.296386243",
      "0.679670573"
    ],
    [
      "1.304488454",
      "0.683880620"
    ],
    [
      "1.312434499",
      "0.688035975"
    ],
    [
      "1.320292217",
      "0.692225614"
    ],
    [
      "1.328128982",
      "0.696430305"
    ],
    [
      "1.335878958",
      "0.700689735"
    ],
    [
      "1.343636929",
      "0.704979838"
    ],
    [
      "1.351554001",
      "0.709429408"
    ],
    [
      "1.359499562",
      "0.713922967"
    ],
    [
      "1.367587392",
      "0.718577562"
    ],
    [
      "1.375682366",
      "0.723265897"
    ],
    [
      "1.382842850",
      "0.727856321"
    ],
    [
      "1.390092170",
      "0.732530602"
    ],
    [
      "1.400687889",
      "0.739511343"
    ],
    [
      "1.408220522",
      "0.744671023"
    ],
    [
      "1.415551509",
      "0.749721848"
    ],
    [
      "1.424027540",
      "0.755641149"
    ],
    [
      "1.432665342",
      "0.761715743"
    ],
    [
      "1.441444957",
      "0.767968249"
    ],
    [
      "1.450224202",
      "0.774264806"
    ],
    [
      "1.456333039",
      "0.779081514"
    ],
    [
      "1.462551033",
      "0.784009048"
    ],
    [
      "1.470977274",
      "0.790862294"
    ],
    [
      "1.479474120",
      "0.797822941"
    ],
    [
      "1.487137077",
      "0.804325581"
    ],
    [
      "1.494827664",
      "0.810894207"
    ],
    [
      "1.503804800",
      "0.818776975"
    ],
    [
      "1.512056008",
      "0.826079632"
    ],
    [
      "1.517831093",
      "0.831236101"
    ],
    [
      "1.524052538",
      "0.836819864"
    ],
    [
      "1.531449407",
      "0.843495992"
    ],
    [
      "1.539486404",
      "0.850810068"
    ],
    [
      "1.548010108",
      "0.858624879"
    ],
    [
      "1.554955016",
      "0.865033985"
    ],
    [
      "1.562938382",
      "0.872501979"
    ],
    [
      "1.570893206",
      "0.879995702"
    ],
    [
      "1.577662413",
      "0.886459103"
    ],
    [
      "1.584358639",
      "0.892890168"
    ],
    [
      "1.591781724",
      "0.900093764"
    ],
    [
      "1.599207179",
      "0.907348179"
    ],
    [
      "1.605770826",
      "0.913826747"
    ],
    [
      "1.612398063",
      "0.920404925"
    ],
    [
      "1.617764746",
      "0.925826983"
    ],
    [
      "1.622042054",
      "0.930174331"
    ],
    [
      "1.627461877",
      "0.935850897"
    ],
    [
      "1.632917144",
      "0.941608616"
    ],
    [
      "1.637069597",
      "0.946459462"
    ],
    [
      "1.641753339",
      "0.951959522"
    ],
    [
      "1.644075733",
      "0.954698632"
    ],
    [
      "1.650150698",
      "0.962036935"
    ],
    [
      "1.654785546",
      "0.967671381"
    ],
    [
      "1.664051364",
      "0.979217725"
    ],
    [
      "1.667732051",
      "0.983935294"
    ],
    [
      "1.673577024",
      "0.991475029"
    ],
    [
      "1.675450332",
      "0.993958004"
    ],
    [
      "1.680034230",
      "1.000054859"
    ],
    [
      "2.679985518",
      "1.000054860"
    ],
    [
      "2.678685825",
      "0.997565986"
    ],
    [
      "2.677384104",
      "0.995078409"
    ],
    [
      "2.674387961",
      "0.989464349"
    ],
    [
      "2.672104105",
      "0.985263145"
    ],
    [
      "2.668365563",
      "0.978456138"
    ],
    [
      "2.664347905",
      "0.971212534"
    ],
    [
      "2.660279939",
      "0.963996849"
    ],
    [
      "2.655675774",
      "0.955908866"
    ],
    [
      "2.651607880",
      "0.948865969"
    ],
    [
      "2.646966682",
      "0.940921957"
    ],
    [
      "2.643352845",
      "0.934810664"
    ],
    [
      "2.639664244",
      "0.928633328"
    ],
    [
      "2.635135768",
      "0.921127428"
    ],
    [
      "2.632302473",
      "0.916614809"
    ],
    [
      "2.629907585",
      "0.912913860"
    ],
    [
      "2.623827277",
      "0.903855819"
    ],
    [
      "2.620695273",
      "0.899266799"
    ],
    [
      "2.617862861",
      "0.895161404"
    ],
    [
      "2.612081139",
      "0.886860303"
    ],
    [
      "2.606927622",
      "0.879579658"
    ],
    [
      "2.601887619",
      "0.872492661"
    ],
    [
      "2.597428623",
      "0.866253473"
    ],
    [
      "2.592804254",
      "0.859820340"
    ],
    [
      "2.587819168",
      "0.852915610"
    ],
    [
      "2.583113388",
      "0.846426255"
    ],
    [
      "2.577924550",
      "0.839323427"
    ],
    [
      "2.572731852",
      "0.832248316"
    ],
    [
      "2.568640082",
      "0.826703287"
    ],
    [
      "2.563900590",
      "0.820327273"
    ],
    [
      "2.559151074",
      "0.813964555"
    ],
    [
      "2.554386073",
      "0.807607816"
    ],
    [
      "2.549593088",
      "0.801261768"
    ],
    [
      "2.544214215",
      "0.794182516"
    ],
    [
      "2.538182869",
      "0.786279713"
    ],
    [
      "2.531613259",
      "0.777714376"
    ],
    [
      "2.526255822",
      "0.770760269"
    ],
    [
      "2.521214262",
      "0.764243808"
    ],
    [
      "2.515564209",
      "0.756974472"
    ],
    [
      "2.511161127",
      "0.751333929"
    ],
    [
      "2.506828741",
      "0.745805079"
    ],
    [
      "2.502056344",
      "0.739738651"
    ],
    [
      "2.497612752",
      "0.734112452"
    ],
    [
      "2.493157785",
      "0.728493255"
    ],
    [
      "2.489853522",
      "0.724365929"
    ],
    [
      "2.485036885",
      "0.718433044"
    ],
    [
      "2.480208783",
      "0.712509931"
    ],
    [
      "2.475329275",
      "0.706547882"
    ],
    [
      "2.470012136",
      "0.700233874"
    ],
    [
      "2.464690278",
      "0.693941384"
    ],
    [
      "2.459354608",
      "0.687659602"
    ],
    [
      "2.456473733",
      "0.684299093"
    ],
    [
      "2.450732157",
      "0.677691502"
    ],
    [
      "2.444974788",
      "0.671095767"
    ],
    [
      "2.440632728",
      "0.666515299"
    ],
    [
      "2.434860943",
      "0.660456309"
    ],
    [
      "2.429076121",
      "0.654409095"
    ],
    [
      "2.423837583",
      "0.648962714"
    ],
    [
      "2.418035938",
      "0.642963067"
    ],
    [
      "2.412221937",
      "0.636975878"
    ],
    [
      "2.406599762",
      "0.631218520"
    ],
    [
      "2.399913907",
      "0.624420565"
    ],
    [
      "2.393186468",
      "0.617613292"
    ],
    [
      "2.384633208",
      "0.609237923"
    ],
    [
      "2.381042871",
      "0.605744409"
    ],
    [
      "2.374158402",
      "0.599128533"
    ],
    [
      "2.367084244",
      "0.592363296"
    ],
    [
      "2.358430205",
      "0.584790825"
    ],
    [
      "2.350143376",
      "0.577579624"
    ],
    [
      "2.343283055",
      "0.571684321"
    ],
    [
      "2.337738177",
      "0.566938600"
    ],
    [
      "2.333080492",
      "0.562967924"
    ],
    [
      "2.324820316",
      "0.555996869"
    ],
    [
      "2.317305281",
      "0.549687017"
    ],
    [
      "2.310798200",
      "0.544320560"
    ],
    [
      "2.304339582",
      "0.539016274"
    ],
    [
      "2.299012298",
      "0.534671237"
    ],
    [
      "2.291593379",
      "0.528681082"
    ],
    [
      "2.284100841",
      "0.522660374"
    ],
    [
      "2.278377036",
      "0.518121401"
    ],
    [
      "2.272723119",
      "0.513654171"
    ],
    [
      "2.264734099",
      "0.507369469"
    ],
    [
      "2.257338251",
      "0.501574580"
    ],
    [
      "2.249535682",
      "0.495489232"
    ],
    [
      "2.232614042",
      "0.482347685"
    ],
    [
      "2.228171757",
      "0.478911052"
    ],
    [
      "2.217736062",
      "0.470877899"
    ],
    [
      "2.210824505",
      "0.465579914"
    ],
    [
      "2.201208182",
      "0.458237824"
    ],
    [
      "2.195769067",
      "0.454098393"
    ],
    [
      "2.188851462",
      "0.448855071"
    ],
    [
      "2.181110079",
      "0.443015558"
    ],
    [
      "2.174052942",
      "0.437719397"
    ],
    [
      "2.166983802",
      "0.432438931"
    ],
    [
      "2.159921944",
      "0.427188465"
    ],
    [
      "2.149686497",
      "0.419611465"
    ],
    [
      "2.140578597",
      "0.412900926"
    ],
    [
      "2.132750837",
      "0.407167410"
    ],
    [
      "2.124831381",
      "0.401393951"
    ],
    [
      "2.116597536",
      "0.395418370"
    ],
    [
      "2.109544088",
      "0.390323319"
    ],
    [
      "2.102479648",
      "0.385242310"
    ],
    [
      "2.091485084",
      "0.377374928"
    ],
    [
      "2.085018009",
      "0.372771498"
    ],
    [
      "2.078537538",
      "0.368176891"
    ],
    [
      "2.071839747",
      "0.363446827"
    ],
    [
      "2.061568530",
      "0.356228811"
    ],
    [
      "2.055549452",
      "0.352020276"
    ],
    [
      "2.049522206",
      "0.347821750"
    ],
    [
      "2.041790572",
      "0.342467392"
    ],
    [
      "2.033485786",
      "0.336744825"
    ],
    [
      "2.017761391",
      "0.325961574"
    ],
    [
      "2.011155561",
      "0.321453202"
    ],
    [
      "2.004827732",
      "0.317152110"
    ],
    [
      "1.999504402",
      "0.313561273"
    ],
    [
      "1.990575138",
      "0.307556279"
    ],
    [
      "1.985015220",
      "0.303829598"
    ],
    [
      "1.978488383",
      "0.299479112"
    ],
    [
      "1.971695926",
      "0.294970679"
    ],
    [
      "1.964822947",
      "0.290526603"
    ],
    [
      "1.958056014",
      "0.286169965"
    ],
    [
      "1.951787254",
      "0.282150701"
    ],
    [
      "1.944091670",
      "0.277380748"
    ],
    [
      "1.936440501",
      "0.272661268"
    ],
    [
      "1.931690414",
      "0.269773510"
    ],
    [
      "1.924550458",
      "0.265473581"
    ],
    [
      "1.911603708",
      "0.257711183"
    ],
    [
      "1.898971037",
      "0.250182946"
    ],
    [
      "1.887958926",
      "0.243656150"
    ],
    [
      "1.881322058",
      "0.239736860"
    ],
    [
      "1.875092800",
      "0.236079978"
    ],
    [
      "1.868853733",
      "0.232439354"
    ],
    [
      "1.862223845",
      "0.228592658"
    ],
    [
      "1.854516194",
      "0.224145735"
    ],
    [
      "1.848171149",
      "0.220520585"
    ],
    [
      "1.840200441",
      "0.215991873"
    ],
    [
      "1.834421890",
      "0.212729024"
    ],
    [
      "1.828380933",
      "0.209342868"
    ],
    [
      "1.820828351",
      "0.205137837"
    ],
    [
      "1.811325518",
      "0.199876653"
    ],
    [
      "1.802844975",
      "0.195203281"
    ],
    [
      "1.793116020",
      "0.189868850"
    ],
    [
      "1.784462868",
      "0.185153312"
    ],
    [
      "1.777513834",
      "0.181395507"
    ],
    [
      "1.770175610",
      "0.177467930"
    ],
    [
      "1.762749191",
      "0.173512859"
    ],
    [
      "1.755274000",
      "0.169606805"
    ],
    [
      "1.747983998",
      "0.165816559"
    ],
    [
      "1.740840213",
      "0.162120516"
    ],
    [
      "1.731225912",
      "0.157191485"
    ],
    [
      "1.723299469",
      "0.153162031"
    ],
    [
      "1.715541668",
      "0.150145783"
    ],
    [
      "1.705846814",
      "0.146399648"
    ],
    [
      "1.694551705",
      "0.142117259"
    ],
    [
      "1.685960035",
      "0.138889455"
    ],
    [
      "1.678145362",
      "0.136002585"
    ],
    [
      "1.670322331",
      "0.133129109"
    ],
    [
      "1.662323492",
      "0.130208050"
    ],
    [
      "1.646700850",
      "0.124626561"
    ],
    [
      "1.639058188",
      "0.121943670"
    ],
    [
      "1.630762538",
      "0.119071677"
    ],
    [
      "1.620858866",
      "0.115676178"
    ],
    [
      "1.612127451",
      "0.112741047"
    ],
    [
      "1.601416228",
      "0.109210545"
    ],
    [
      "1.593264803",
      "0.106570237"
    ],
    [
      "1.585658532",
      "0.104176000"
    ],
    [
      "1.576444561",
      "0.101299761"
    ],
    [
      "1.568368464",
      "0.098838027"
    ],
    [
      "1.558121125",
      "0.095796051"
    ],
    [
      "1.552060142",
      "0.094041543"
    ],
    [
      "1.540798846",
      "0.090875664"
    ],
    [
      "1.532215220",
      "0.088541292"
    ],
    [
      "1.521837737",
      "0.085773347"
    ],
    [
      "1.513874128",
      "0.083701098"
    ],
    [
      "1.506229443",
      "0.081758402"
    ],
    [
      "1.498414047",
      "0.079811829"
    ],
    [
      "1.491570131",
      "0.078156672"
    ],
    [
      "1.483256047",
      "0.076231092"
    ],
    [
      "1.474784002",
      "0.074347324"
    ],
    [
      "1.467406546",
      "0.072779269"
    ],
    [
      "1.461145944",
      "0.071504159"
    ],
    [
      "1.438498678",
      "0.071168967"
    ],
    [
      "1.413365327",
      "0.070847924"
    ],
    [
      "1.396771240",
      "0.070661376"
    ],
    [
      "1.379188834",
      "0.070481720"
    ],
    [
      "1.357726083",
      "0.070296538"
    ],
    [
      "1.331277645",
      "0.070146802"
    ],
    [
      "1.312367873",
      "0.070096625"
    ],
    [
      "1.303416192",
      "0.065732357"
    ],
    [
      "1.299706763",
      "0.063932810"
    ],
    [
      "1.292548210",
      "0.060507499"
    ],
    [
      "1.286850947",
      "0.057846862"
    ],
    [
      "1.281064503",
      "0.055165679"
    ],
    [
      "1.269065262",
      "0.049718059"
    ],
    [
      "1.263018668",
      "0.046994508"
    ],
    [
      "1.258191785",
      "0.044848691"
    ],
    [
      "1.254953702",
      "0.043412399"
    ],
    [
      "1.243617778",
      "0.038488141"
    ],
    [
      "1.239317265",
      "0.036665269"
    ],
    [
      "1.230417003",
      "0.032915691"
    ],
    [
      "1.222725998",
      "0.029752910"
    ],
    [
      "1.216034895",
      "0.027165018"
    ],
    [
      "1.209401369",
      "0.024624139"
    ],
    [
      "1.202695236",
      "0.022080398"
    ],
    [
      "1.194942084",
      "0.019240480"
    ],
    [
      "1.187211480",
      "0.016441625"
    ],
    [
      "1.181084036",
      "0.015226537"
    ],
    [
      "1.175277332",
      "0.014125387"
    ],
    [
      "1.170714392",
      "0.013285700"
    ],
    [
      "1.166362490",
      "0.012504900"
    ],
    [
      "1.162494433",
      "0.011830206"
    ],
    [
      "1.157262866",
      "0.010942192"
    ],
    [
      "1.150432143",
      "0.009825406"
    ],
    [
      "1.143542090",
      "0.008765497"
    ],
    [
      "1.138097285",
      "0.007962446"
    ],
    [
      "1.132729007",
      "0.007203852"
    ],
    [
      "1.126613902",
      "0.006376902"
    ],
    [
      "1.121002175",
      "0.005664012"
    ],
    [
      "1.115066776",
      "0.004955379"
    ],
    [
      "1.110434539",
      "0.004433042"
    ],
    [
      "1.106157665",
      "0.003975201"
    ],
    [
      "1.100608197",
      "0.003418520"
    ],
    [
      "1.095710083",
      "0.002965058"
    ],
    [
      "1.090849053",
      "0.002550414"
    ],
    [
      "1.084260358",
      "0.002044059"
    ],
    [
      "1.079665556",
      "0.001729485"
    ],
    [
      "1.071385690",
      "0.001228156"
    ],
    [
      "1.062263438",
      "0.000758350"
    ],
    [
      "1.056012763",
      "0.000491591"
    ],
    [
      "1.046687946",
      "0.000147702"
    ],
    [
      "1.041655210",
      "0.000057028"
    ],
    [
      "1.038156416",
      "0.000054861"
    ],
    [
      "-0.745926603",
      "0.000054860"
    ],
    [
      "-0.749507080",
      "0.000057527"
    ],
    [
      "-0.756091542",
      "0.000215140"
    ],
    [
      "-0.761436383",
      "0.000410956"
    ],
    [
      "-0.770777205",
      "0.000815913"
    ],
    [
      "-0.775535634",
      "0.001047317"
    ],
    [
      "-0.781193896",
      "0.001362207"
    ],
    [
      "-0.788945320",
      "0.001856572"
    ],
    [
      "-0.795423484",
      "0.002327966"
    ],
    [
      "-0.800733208",
      "0.002761743"
    ],
    [
      "-0.805059370",
      "0.003144712"
    ],
    [
      "-0.811412429",
      "0.003749217"
    ],
    [
      "-0.818103284",
      "0.004465698"
    ],
    [
      "-0.823426553",
      "0.005071804"
    ],
    [
      "-0.829050559",
      "0.005749541"
    ],
    [
      "-0.834824287",
      "0.006494149"
    ],
    [
      "-0.839567010",
      "0.007133842"
    ],
    [
      "-0.844307006",
      "0.007799159"
    ],
    [
      "-0.848735583",
      "0.008444462"
    ],
    [
      "-0.853679090",
      "0.009191219"
    ],
    [
      "-0.857961215",
      "0.009860090"
    ],
    [
      "-0.864369852",
      "0.010899584"
    ],
    [
      "-0.871569992",
      "0.012119826"
    ],
    [
      "-0.878808079",
      "0.013411507"
    ],
    [
      "-0.887060328",
      "0.014962414"
    ],
    [
      "-0.894580026",
      "0.016440695"
    ],
    [
      "-0.900504192",
      "0.018568208"
    ],
    [
      "-0.905897694",
      "0.020540853"
    ],
    [
      "-0.911256477",
      "0.022516521"
    ],
    [
      "-0.916702028",
      "0.024540278"
    ],
    [
      "-0.922894718",
      "0.026947987"
    ],
    [
      "-0.929064657",
      "0.029368672"
    ],
    [
      "-0.935264639",
      "0.031823164"
    ],
    [
      "-0.948640843",
      "0.037481962"
    ],
    [
      "-0.954654722",
      "0.040043878"
    ],
    [
      "-0.960723780",
      "0.042651524"
    ],
    [
      "-0.974707049",
      "0.048899569"
    ],
    [
      "-0.980529650",
      "0.051518493"
    ],
    [
      "-0.986904503",
      "0.054434588"
    ],
    [
      "-0.993201894",
      "0.057340362"
    ],
    [
      "-1.002745457",
      "0.061825074"
    ],
    [
      "-1.007299590",
      "0.063999394"
    ],
    [
      "-1.011891624",
      "0.066205353"
    ],
    [
      "-1.019820856",
      "0.070092274"
    ],
    [
      "-1.037406639",
      "0.070137723"
    ],
    [
      "-1.051700183",
      "0.070200862"
    ],
    [
      "-1.076457031",
      "0.070379798"
    ],
    [
      "-1.095776470",
      "0.070568276"
    ],
    [
      "-1.123096341",
      "0.070871935"
    ],
    [
      "-1.144166414",
      "0.071142145"
    ],
    [
      "-1.160726026",
      "0.071377243"
    ],
    [
      "-1.168588784",
      "0.071498142"
    ],
    [
      "-1.174878371",
      "0.072783237"
    ],
    [
      "-1.182714166",
      "0.074455979"
    ],
    [
      "-1.189513050",
      "0.075963388"
    ],
    [
      "-1.195532412",
      "0.077344578"
    ],
    [
      "-1.201595940",
      "0.078779784"
    ],
    [
      "-1.208024943",
      "0.080346915"
    ],
    [
      "-1.216784174",
      "0.082540695"
    ],
    [
      "-1.221004144",
      "0.083615959"
    ],
    [
      "-1.230875429",
      "0.086186680"
    ],
    [
      "-1.236017712",
      "0.087552261"
    ],
    [
      "-1.245889878",
      "0.090238921"
    ],
    [
      "-1.254691084",
      "0.092702476"
    ],
    [
      "-1.263676227",
      "0.095236649"
    ],
    [
      "-1.266716615",
      "0.096112354"
    ],
    [
      "-1.271210550",
      "0.097443337"
    ],
    [
      "-1.282084084",
      "0.100737880"
    ],
    [
      "-1.288754638",
      "0.102810747"
    ],
    [
      "-1.296354945",
      "0.105188855"
    ],
    [
      "-1.300706895",
      "0.106573366"
    ],
    [
      "-1.307364488",
      "0.108731540"
    ],
    [
      "-1.314532021",
      "0.111070358"
    ],
    [
      "-1.319770960",
      "0.112794593"
    ],
    [
      "-1.326885309",
      "0.115179714"
    ],
    [
      "-1.334585991",
      "0.117821012"
    ],
    [
      "-1.342229842",
      "0.120458187"
    ],
    [
      "-1.349867781",
      "0.123108647"
    ],
    [
      "-1.356435369",
      "0.125417582"
    ],
    [
      "-1.364347863",
      "0.128240271"
    ],
    [
      "-1.372255057",
      "0.131077709"
    ],
    [
      "-1.378797014",
      "0.133458096"
    ],
    [
      "-1.388053330",
      "0.136886831"
    ],
    [
      "-1.397300480",
      "0.140335307"
    ],
    [
      "-1.406985392",
      "0.143971889"
    ],
    [
      "-1.415166111",
      "0.147108463"
    ],
    [
      "-1.422753275",
      "0.150033843"
    ],
    [
      "-1.430461270",
      "0.153021991"
    ],
    [
      "-1.437091523",
      "0.156399195"
    ],
    [
      "-1.443770493",
      "0.159816756"
    ],
    [
      "-1.452031284",
      "0.164065427"
    ],
    [
      "-1.459342006",
      "0.167862673"
    ],
    [
      "-1.466304070",
      "0.171496384"
    ],
    [
      "-1.470856855",
      "0.173886819"
    ],
    [
      "-1.478192061",
      "0.177788466"
    ],
    [
      "-1.485945538",
      "0.181946426"
    ],
    [
      "-1.494323155",
      "0.186492496"
    ],
    [
      "-1.504439967",
      "0.192016392"
    ],
    [
      "-1.513962232",
      "0.197246238"
    ],
    [
      "-1.524185995",
      "0.202889645"
    ],
    [
      "-1.532285670",
      "0.207387734"
    ],
    [
      "-1.538660459",
      "0.210955956"
    ],
    [
      "-1.545442804",
      "0.214778596"
    ],
    [
      "-1.554685784",
      "0.220015488"
    ],
    [
      "-1.561689178",
      "0.224007238"
    ],
    [
      "-1.568628756",
      "0.228011911"
    ],
    [
      "-1.577404345",
      "0.233106398"
    ],
    [
      "-1.585328525",
      "0.237731797"
    ],
    [
      "-1.591860926",
      "0.241577350"
    ],
    [
      "-1.599298374",
      "0.245975399"
    ],
    [
      "-1.613353441",
      "0.254324577"
    ],
    [
      "-1.623330696",
      "0.260288946"
    ],
    [
      "-1.631581123",
      "0.265239312"
    ],
    [
      "-1.638936580",
      "0.269674562"
    ],
    [
      "-1.644294525",
      "0.272952200"
    ],
    [
      "-1.650638677",
      "0.276847521"
    ],
    [
      "-1.656977295",
      "0.280755073"
    ],
    [
      "-1.661651393",
      "0.283695719"
    ],
    [
      "-1.666877546",
      "0.287049660"
    ],
    [
      "-1.672608015",
      "0.290740044"
    ],
    [
      "-1.677845552",
      "0.294124723"
    ],
    [
      "-1.681470913",
      "0.296507532"
    ],
    [
      "-1.689576731",
      "0.301918455"
    ],
    [
      "-1.704514190",
      "0.311939629"
    ],
    [
      "-1.712676810",
      "0.317442610"
    ],
    [
      "-1.723069647",
      "0.324488736"
    ],
    [
      "-1.733153292",
      "0.331368779"
    ],
    [
      "-1.740877677",
      "0.336694697"
    ],
    [
      "-1.756576477",
      "0.347573749"
    ],
    [
      "-1.764399274",
      "0.353020365"
    ],
    [
      "-1.770809212",
      "0.357503053"
    ],
    [
      "-1.777338439",
      "0.362087817"
    ],
    [
      "-1.784658731",
      "0.367253317"
    ],
    [
      "-1.793679852",
      "0.373651138"
    ],
    [
      "-1.800617744",
      "0.378595783"
    ],
    [
      "-1.806982024",
      "0.383151908"
    ],
    [
      "-1.815417537",
      "0.389221483"
    ],
    [
      "-1.823372759",
      "0.394971567"
    ],
    [
      "-1.836338377",
      "0.404384274"
    ],
    [
      "-1.847292252",
      "0.412389433"
    ],
    [
      "-1.855041927",
      "0.418099672"
    ],
    [
      "-1.867694962",
      "0.427465431"
    ],
    [
      "-1.874195139",
      "0.432295820"
    ],
    [
      "-1.879237816",
      "0.436061565"
    ],
    [
      "-1.884377288",
      "0.439917159"
    ],
    [
      "-1.895079408",
      "0.447972796"
    ],
    [
      "-1.900621995",
      "0.452161586"
    ],
    [
      "-1.906013656",
      "0.456251358"
    ],
    [
      "-1.913070615",
      "0.461636763"
    ],
    [
      "-1.929735720",
      "0.474417793"
    ],
    [
      "-1.935463385",
      "0.478830983"
    ],
    [
      "-1.941709177",
      "0.483660607"
    ],
    [
      "-1.958552282",
      "0.496748282"
    ],
    [
      "-1.964431751",
      "0.501337277"
    ],
    [
      "-1.970362097",
      "0.505983470"
    ],
    [
      "-1.978104127",
      "0.512075501"
    ],
    [
      "-1.984984975",
      "0.517515365"
    ],
    [
      "-1.993458384",
      "0.524258257"
    ],
    [
      "-2.000838001",
      "0.530167567"
    ],
    [
      "-2.006949532",
      "0.535121977"
    ],
    [
      "-2.013675610",
      "0.540599434"
    ],
    [
      "-2.018482508",
      "0.544536132"
    ],
    [
      "-2.024595108",
      "0.549626211"
    ],
    [
      "-2.030698715",
      "0.554728926"
    ],
    [
      "-2.036833670",
      "0.559878211"
    ],
    [
      "-2.042893329",
      "0.565031658"
    ],
    [
      "-2.049230173",
      "0.570442569"
    ],
    [
      "-2.055393199",
      "0.575726480"
    ],
    [
      "-2.061957865",
      "0.581423492"
    ],
    [
      "-2.068454484",
      "0.587085499"
    ],
    [
      "-2.074420890",
      "0.592306596"
    ],
    [
      "-2.080634427",
      "0.598237908"
    ],
    [
      "-2.086812171",
      "0.604160491"
    ],
    [
      "-2.093719157",
      "0.610890802"
    ],
    [
      "-2.100655221",
      "0.617682384"
    ],
    [
      "-2.106104259",
      "0.623202724"
    ],
    [
      "-2.111380516",
      "0.628568710"
    ],
    [
      "-2.116639073",
      "0.633937065"
    ],
    [
      "-2.121526113",
      "0.638948787"
    ],
    [
      "-2.127532980",
      "0.645139019"
    ],
    [
      "-2.134526144",
      "0.652379637"
    ],
    [
      "-2.139727772",
      "0.657804854"
    ],
    [
      "-2.145778985",
      "0.664148228"
    ],
    [
      "-2.152286300",
      "0.671000994"
    ],
    [
      "-2.157589139",
      "0.677089617"
    ],
    [
      "-2.162815439",
      "0.683115407"
    ],
    [
      "-2.168398965",
      "0.689580740"
    ],
    [
      "-2.172167292",
      "0.693989999"
    ],
    [
      "-2.177793450",
      "0.700699924"
    ],
    [
      "-2.183399417",
      "0.707416439"
    ],
    [
      "-2.188993423",
      "0.714149388"
    ],
    [
      "-2.193484882",
      "0.719716005"
    ],
    [
      "-2.199464871",
      "0.727180264"
    ],
    [
      "-2.205426048",
      "0.734658825"
    ],
    [
      "-2.210601935",
      "0.741206290"
    ],
    [
      "-2.216159759",
      "0.748294229"
    ],
    [
      "-2.222136259",
      "0.755954019"
    ],
    [
      "-2.231068171",
      "0.767454097"
    ],
    [
      "-2.236261270",
      "0.774171957"
    ],
    [
      "-2.241808735",
      "0.781382190"
    ],
    [
      "-2.246672937",
      "0.787732975"
    ],
    [
      "-2.250933017",
      "0.793334439"
    ],
    [
      "-2.255617597",
      "0.799518170"
    ],
    [
      "-2.264381179",
      "0.811130089"
    ],
    [
      "-2.269495841",
      "0.817936686"
    ],
    [
      "-2.274886436",
      "0.825195498"
    ],
    [
      "-2.279552576",
      "0.831506893"
    ],
    [
      "-2.284587187",
      "0.838346192"
    ],
    [
      "-2.289442143",
      "0.844971694"
    ],
    [
      "-2.295321447",
      "0.853075224"
    ],
    [
      "-2.300287535",
      "0.859953684"
    ],
    [
      "-2.305238711",
      "0.866842438"
    ],
    [
      "-2.308754859",
      "0.871770659"
    ],
    [
      "-2.315308308",
      "0.881016638"
    ],
    [
      "-2.319096051",
      "0.886378105"
    ],
    [
      "-2.324824167",
      "0.894565805"
    ],
    [
      "-2.328835225",
      "0.900390759"
    ],
    [
      "-2.331613584",
      "0.904457776"
    ],
    [
      "-2.336000055",
      "0.910984853"
    ],
    [
      "-2.340979771",
      "0.918680983"
    ],
    [
      "-2.343953456",
      "0.923488725"
    ],
    [
      "-2.347034609",
      "0.928597000"
    ],
    [
      "-2.353270452",
      "0.939063912"
    ],
    [
      "-2.358156215",
      "0.947406872"
    ],
    [
      "-2.363234588",
      "0.956210870"
    ],
    [
      "-2.366226307",
      "0.961440780"
    ],
    [
      "-2.369370355",
      "0.966992287"
    ],
    [
      "-2.372675733",
      "0.972907467"
    ],
    [
      "-2.375958393",
      "0.978810518"
    ],
    [
      "-2.379591873",
      "0.985407840"
    ],
    [
      "-2.383429899",
      "0.992519540"
    ],
    [
      "-2.384823263",
      "0.995142552"
    ]
  ],
  "poses": [
    {
      "turn": "0.000000000",
      "x": "2.387467864",
      "y": "-0.000054860"
    },
    {
      "turn": "-0.002280436",
      "x": "2.374567365",
      "y": "0.004709438"
    },
    {
      "turn": "-0.005357391",
      "x": "2.356997786",
      "y": "0.011115384"
    },
    {
      "turn": "-0.008423895",
      "x": "2.339350783",
      "y": "0.017507050"
    },
    {
      "turn": "-0.011695364",
      "x": "2.320371003",
      "y": "0.024342411"
    },
    {
      "turn": "-0.014023471",
      "x": "2.306266541",
      "y": "0.029222975"
    },
    {
      "turn": "-0.017002193",
      "x": "2.287528608",
      "y": "0.035443302"
    },
    {
      "turn": "-0.018453847",
      "x": "2.278404215",
      "y": "0.038470475"
    },
    {
      "turn": "-0.019618805",
      "x": "2.271092012",
      "y": "0.040937711"
    },
    {
      "turn": "-0.023417595",
      "x": "2.247250867",
      "y": "0.048982760"
    },
    {
      "turn": "-0.027637948",
      "x": "2.220853679",
      "y": "0.057959269"
    },
    {
      "turn": "-0.029731571",
      "x": "2.207763021",
      "y": "0.062430960"
    },
    {
      "turn": "-0.032448167",
      "x": "2.190879728",
      "y": "0.068276576"
    },
    {
      "turn": "-0.034536586",
      "x": "2.177938456",
      "y": "0.072766239"
    },
    {
      "turn": "-0.035575453",
      "x": "2.171513781",
      "y": "0.075011807"
    },
    {
      "turn": "-0.036620061",
      "x": "2.165060219",
      "y": "0.077275847"
    },
    {
      "turn": "-0.040539984",
      "x": "2.141033639",
      "y": "0.085775846"
    },
    {
      "turn": "-0.044388763",
      "x": "2.117498085",
      "y": "0.094142568"
    },
    {
      "turn": "-0.048091770",
      "x": "2.094541146",
      "y": "0.102228052"
    },
    {
      "turn": "-0.051778132",
      "x": "2.071476123",
      "y": "0.110300507"
    },
    {
      "turn": "-0.054774134",
      "x": "2.051664255",
      "y": "0.116883843"
    },
    {
      "turn": "-0.057793757",
      "x": "2.031752999",
      "y": "0.123546987"
    },
    {
      "turn": "-0.061148487",
      "x": "2.009745185",
      "y": "0.130972849"
    },
    {
      "turn": "-0.063587926",
      "x": "1.993479196",
      "y": "0.136382244"
    },
    {
      "turn": "-0.065746876",
      "x": "1.979014678",
      "y": "0.141192686"
    },
    {
      "turn": "-0.068833639",
      "x": "1.957122920",
      "y": "0.148077434"
    },
    {
      "turn": "-0.071825272",
      "x": "1.935911975",
      "y": "0.154778262"
    },
    {
      "turn": "-0.074860873",
      "x": "1.914380693",
      "y": "0.161600760"
    },
    {
      "turn": "-0.077507378",
      "x": "1.895516740",
      "y": "0.167563411"
    },
    {
      "turn": "-0.078715817",
      "x": "1.886880274",
      "y": "0.170297716"
    },
    {
      "turn": "-0.080047914",
      "x": "1.877384146",
      "y": "0.173310041"
    },
    {
      "turn": "-0.082790204",
      "x": "1.857894678",
      "y": "0.179531637"
    },
    {
      "turn": "-0.085458103",
      "x": "1.839056653",
      "y": "0.185595058"
    },
    {
      "turn": "-0.087760415",
      "x": "1.822950201",
      "y": "0.190848854"
    },
    {
      "turn": "-0.090111452",
      "x": "1.806597013",
      "y": "0.196223231"
    },
    {
      "turn": "-0.092567868",
      "x": "1.789666734",
      "y": "0.201859137"
    },
    {
      "turn": "-0.095338194",
      "x": "1.770658558",
      "y": "0.208230600"
    },
    {
      "turn": "-0.097027489",
      "x": "1.759161845",
      "y": "0.212118984"
    },
    {
      "turn": "-0.099507370",
      "x": "1.742329209",
      "y": "0.217842321"
    },
    {
      "turn": "-0.101705304",
      "x": "1.726441281",
      "y": "0.224142909"
    },
    {
      "turn": "-0.102479177",
      "x": "1.720847867",
      "y": "0.226365631"
    },
    {
      "turn": "-0.103307652",
      "x": "1.714886061",
      "y": "0.228747066"
    },
    {
      "turn": "-0.104226566",
      "x": "1.708277872",
      "y": "0.231384352"
    },
    {
      "turn": "-0.106168036",
      "x": "1.694397554",
      "y": "0.236971970"
    },
    {
      "turn": "-0.107999659",
      "x": "1.681361582",
      "y": "0.242258520"
    },
    {
      "turn": "-0.112062459",
      "x": "1.652651348",
      "y": "0.253991897"
    },
    {
      "turn": "-0.116123416",
      "x": "1.624240275",
      "y": "0.265738316"
    },
    {
      "turn": "-0.118519007",
      "x": "1.607678452",
      "y": "0.272679158"
    },
    {
      "turn": "-0.121117315",
      "x": "1.589758476",
      "y": "0.280223436"
    },
    {
      "turn": "-0.123857466",
      "x": "1.570990722",
      "y": "0.288193431"
    },
    {
      "turn": "-0.126492476",
      "x": "1.553103581",
      "y": "0.295897554"
    },
    {
      "turn": "-0.129450891",
      "x": "1.532770786",
      "y": "0.304572972"
    },
    {
      "turn": "-0.132374793",
      "x": "1.512320601",
      "y": "0.313178422"
    },
    {
      "turn": "-0.135083891",
      "x": "1.493335904",
      "y": "0.321202478"
    },
    {
      "turn": "-0.135585135",
      "x": "1.489850024",
      "y": "0.322681807"
    },
    {
      "turn": "-0.136064328",
      "x": "1.486518364",
      "y": "0.324105265"
    },
    {
      "turn": "-0.137072382",
      "x": "1.479519354",
      "y": "0.327089016"
    },
    {
      "turn": "-0.140054315",
      "x": "1.458947492",
      "y": "0.335972149"
    },
    {
      "turn": "-0.143415331",
      "x": "1.435907585",
      "y": "0.345985269"
    },
    {
      "turn": "-0.147232470",
      "x": "1.409801836",
      "y": "0.357397950"
    },
    {
      "turn": "-0.150694354",
      "x": "1.386251744",
      "y": "0.367780599"
    },
    {
      "turn": "-0.154296925",
      "x": "1.361995342",
      "y": "0.378625207"
    },
    {
      "turn": "-0.154837996",
      "x": "1.358345120",
      "y": "0.380264287"
    },
    {
      "turn": "-0.155397690",
      "x": "1.354581923",
      "y": "0.381960141"
    },
    {
      "turn": "-0.156577889",
      "x": "1.346644096",
      "y": "0.385534966"
    },
    {
      "turn": "-0.159144836",
      "x": "1.329344650",
      "y": "0.393311504"
    },
    {
      "turn": "-0.162211438",
      "x": "1.308742016",
      "y": "0.402647903"
    },
    {
      "turn": "-0.165087953",
      "x": "1.286053186",
      "y": "0.411439883"
    },
    {
      "turn": "-0.168860021",
      "x": "1.256309557",
      "y": "0.423024768"
    },
    {
      "turn": "-0.171607171",
      "x": "1.234568374",
      "y": "0.431511863"
    },
    {
      "turn": "-0.175311057",
      "x": "1.205198721",
      "y": "0.443035417"
    },
    {
      "turn": "-0.178137132",
      "x": "1.182587985",
      "y": "0.451855025"
    },
    {
      "turn": "-0.180098250",
      "x": "1.166717178",
      "y": "0.458041723"
    },
    {
      "turn": "-0.181891876",
      "x": "1.152156889",
      "y": "0.463697739"
    },
    {
      "turn": "-0.184337331",
      "x": "1.131825704",
      "y": "0.471459333"
    },
    {
      "turn": "-0.185733952",
      "x": "1.120161001",
      "y": "0.475908463"
    },
    {
      "turn": "-0.186445501",
      "x": "1.114165430",
      "y": "0.478162860"
    },
    {
      "turn": "-0.187351057",
      "x": "1.106534863",
      "y": "0.481059080"
    },
    {
      "turn": "-0.189258628",
      "x": "1.090305463",
      "y": "0.487183305"
    },
    {
      "turn": "-0.192303489",
      "x": "1.063121672",
      "y": "0.497755054"
    },
    {
      "turn": "-0.192470289",
      "x": "1.058566165",
      "y": "0.499840080"
    },
    {
      "turn": "-0.192305693",
      "x": "1.051652788",
      "y": "0.503127434"
    },
    {
      "turn": "-0.192218302",
      "x": "1.047678230",
      "y": "0.504992008"
    },
    {
      "turn": "-0.192126997",
      "x": "1.043525131",
      "y": "0.506938580"
    },
    {
      "turn": "-0.191970328",
      "x": "1.036397854",
      "y": "0.510274988"
    },
    {
      "turn": "-0.191779137",
      "x": "1.026740490",
      "y": "0.514721671"
    },
    {
      "turn": "-0.191596823",
      "x": "1.017529319",
      "y": "0.518954819"
    },
    {
      "turn": "-0.191486732",
      "x": "1.011125396",
      "y": "0.521841891"
    },
    {
      "turn": "-0.191337844",
      "x": "1.002421129",
      "y": "0.525758536"
    },
    {
      "turn": "-0.191250920",
      "x": "0.997338698",
      "y": "0.528042674"
    },
    {
      "turn": "-0.191167894",
      "x": "0.992483644",
      "y": "0.530222702"
    },
    {
      "turn": "-0.191109553",
      "x": "0.988598461",
      "y": "0.531941351"
    },
    {
      "turn": "-0.191048371",
      "x": "0.984524324",
      "y": "0.533742480"
    },
    {
      "turn": "-0.190975457",
      "x": "0.979668098",
      "y": "0.535887839"
    },
    {
      "turn": "-0.190903202",
      "x": "0.974855403",
      "y": "0.538012348"
    },
    {
      "turn": "-0.190849393",
      "x": "0.970017275",
      "y": "0.540090223"
    },
    {
      "turn": "-0.190792745",
      "x": "0.964923513",
      "y": "0.542276598"
    },
    {
      "turn": "-0.190652702",
      "x": "0.952329270",
      "y": "0.547676692"
    },
    {
      "turn": "-0.190603904",
      "x": "0.945524511",
      "y": "0.550512304"
    },
    {
      "turn": "-0.190561021",
      "x": "0.938734402",
      "y": "0.553323379"
    },
    {
      "turn": "-0.190497748",
      "x": "0.922625448",
      "y": "0.559876406"
    },
    {
      "turn": "-0.190983344",
      "x": "0.920862130",
      "y": "0.560498184"
    },
    {
      "turn": "-0.191515462",
      "x": "0.918932200",
      "y": "0.561183092"
    },
    {
      "turn": "-0.192634009",
      "x": "0.914886217",
      "y": "0.562631708"
    },
    {
      "turn": "-0.195122924",
      "x": "0.905948847",
      "y": "0.565744911"
    },
    {
      "turn": "-0.196340633",
      "x": "0.901525868",
      "y": "0.567318919"
    },
    {
      "turn": "-0.197005642",
      "x": "0.899120960",
      "y": "0.568181094"
    },
    {
      "turn": "-0.197681167",
      "x": "0.896679608",
      "y": "0.569065294"
    },
    {
      "turn": "-0.201105023",
      "x": "0.884385212",
      "y": "0.573437762"
    },
    {
      "turn": "-0.203670393",
      "x": "0.875120398",
      "y": "0.576803231"
    },
    {
      "turn": "-0.205120289",
      "x": "0.869914042",
      "y": "0.578724642"
    },
    {
      "turn": "-0.206402245",
      "x": "0.865323982",
      "y": "0.580448100"
    },
    {
      "turn": "-0.210618514",
      "x": "0.850182036",
      "y": "0.585995210"
    },
    {
      "turn": "-0.211964788",
      "x": "0.845376157",
      "y": "0.587792753"
    },
    {
      "turn": "-0.213208105",
      "x": "0.840952010",
      "y": "0.589473050"
    },
    {
      "turn": "-0.218032836",
      "x": "0.823284807",
      "y": "0.596085459"
    },
    {
      "turn": "-0.222117853",
      "x": "0.807965868",
      "y": "0.601950092"
    },
    {
      "turn": "-0.225136224",
      "x": "0.796748125",
      "y": "0.606242249"
    },
    {
      "turn": "-0.232947269",
      "x": "0.746544360",
      "y": "0.625346104"
    },
    {
      "turn": "-0.237172156",
      "x": "0.715904013",
      "y": "0.637083258"
    },
    {
      "turn": "-0.240191761",
      "x": "0.691518790",
      "y": "0.646250040"
    },
    {
      "turn": "-0.242355265",
      "x": "0.673554096",
      "y": "0.652860367"
    },
    {
      "turn": "-0.243269127",
      "x": "0.665725795",
      "y": "0.655660009"
    },
    {
      "turn": "-0.244190919",
      "x": "0.657778526",
      "y": "0.658490005"
    },
    {
      "turn": "-0.247398192",
      "x": "0.645746727",
      "y": "0.668402814"
    },
    {
      "turn": "-0.250558305",
      "x": "0.633870099",
      "y": "0.678173781"
    },
    {
      "turn": "-0.254568026",
      "x": "0.618781424",
      "y": "0.690626540"
    },
    {
      "turn": "-0.256210040",
      "x": "0.612588803",
      "y": "0.695752901"
    },
    {
      "turn": "-0.258293431",
      "x": "0.604744801",
      "y": "0.702310218"
    },
    {
      "turn": "-0.261992267",
      "x": "0.590857645",
      "y": "0.714067926"
    },
    {
      "turn": "-0.264671271",
      "x": "0.580804382",
      "y": "0.722622451"
    },
    {
      "turn": "-0.266650098",
      "x": "0.573385355",
      "y": "0.728974489"
    },
    {
      "turn": "-0.267995232",
      "x": "0.568348536",
      "y": "0.733293993"
    },
    {
      "turn": "-0.269392406",
      "x": "0.563137768",
      "y": "0.737796300"
    },
    {
      "turn": "-0.272827120",
      "x": "0.550308472",
      "y": "0.748914467"
    },
    {
      "turn": "-0.274029772",
      "x": "0.545817107",
      "y": "0.752823249"
    },
    {
      "turn": "-0.275432934",
      "x": "0.540577891",
      "y": "0.757418758"
    },
    {
      "turn": "-0.276930358",
      "x": "0.535009761",
      "y": "0.762353469"
    },
    {
      "turn": "-0.279125813",
      "x": "0.526837352",
      "y": "0.769650806"
    },
    {
      "turn": "-0.281553298",
      "x": "0.517829685",
      "y": "0.777727531"
    },
    {
      "turn": "-0.286819272",
      "x": "0.498185572",
      "y": "0.795262990"
    },
    {
      "turn": "-0.289091527",
      "x": "0.489672219",
      "y": "0.802833384"
    },
    {
      "turn": "-0.291380373",
      "x": "0.481124751",
      "y": "0.810427140"
    },
    {
      "turn": "-0.293941786",
      "x": "0.471499715",
      "y": "0.818909535"
    },
    {
      "turn": "-0.298401284",
      "x": "0.454808732",
      "y": "0.833794739"
    },
    {
      "turn": "-0.302411032",
      "x": "0.439732765",
      "y": "0.847076577"
    },
    {
      "turn": "-0.304983549",
      "x": "0.430036483",
      "y": "0.855648534"
    },
    {
      "turn": "-0.306910001",
      "x": "0.422806907",
      "y": "0.862120331"
    },
    {
      "turn": "-0.308393098",
      "x": "0.417219052",
      "y": "0.867104873"
    },
    {
      "turn": "-0.309897522",
      "x": "0.411564312",
      "y": "0.872181347"
    },
    {
      "turn": "-0.311193668",
      "x": "0.406692898",
      "y": "0.876592760"
    },
    {
      "turn": "-0.312905746",
      "x": "0.400280217",
      "y": "0.882447726"
    },
    {
      "turn": "-0.316279242",
      "x": "0.387618706",
      "y": "0.894036718"
    },
    {
      "turn": "-0.320921717",
      "x": "0.370314305",
      "y": "0.910159304"
    },
    {
      "turn": "-0.324493797",
      "x": "0.357100884",
      "y": "0.922705803"
    },
    {
      "turn": "-0.325761053",
      "x": "0.352448714",
      "y": "0.927185200"
    },
    {
      "turn": "-0.328657823",
      "x": "0.341823892",
      "y": "0.937474577"
    },
    {
      "turn": "-0.330038777",
      "x": "0.336789466",
      "y": "0.942407395"
    },
    {
      "turn": "-0.331136698",
      "x": "0.332801087",
      "y": "0.946347449"
    },
    {
      "turn": "-0.332237717",
      "x": "0.328813554",
      "y": "0.950307036"
    },
    {
      "turn": "-0.334899843",
      "x": "0.319164279",
      "y": "0.959918074"
    },
    {
      "turn": "-0.335530734",
      "x": "0.316895156",
      "y": "0.962205620"
    },
    {
      "turn": "-0.336166656",
      "x": "0.314613108",
      "y": "0.964510395"
    },
    {
      "turn": "-0.338091335",
      "x": "0.307733610",
      "y": "0.971512004"
    },
    {
      "turn": "-0.339120443",
      "x": "0.304060480",
      "y": "0.975276385"
    },
    {
      "turn": "-0.340152578",
      "x": "0.300386677",
      "y": "0.979061434"
    },
    {
      "turn": "-0.342723218",
      "x": "0.291288235",
      "y": "0.988534837"
    },
    {
      "turn": "-0.344196763",
      "x": "0.286119269",
      "y": "0.994021570"
    },
    {
      "turn": "-0.346171154",
      "x": "0.279233517",
      "y": "1.001400031"
    },
    {
      "turn": "-0.350048897",
      "x": "0.265772661",
      "y": "1.015987411"
    },
    {
      "turn": "-0.354959679",
      "x": "0.248857439",
      "y": "1.034470462"
    },
    {
      "turn": "-0.358345463",
      "x": "0.237230087",
      "y": "1.047235314"
    },
    {
      "turn": "-0.361791802",
      "x": "0.225342920",
      "y": "1.060257694"
    },
    {
      "turn": "-0.365111124",
      "x": "0.214004440",
      "y": "1.072752024"
    },
    {
      "turn": "-0.367114915",
      "x": "0.207185577",
      "y": "1.080325455"
    },
    {
      "turn": "-0.370552154",
      "x": "0.195464686",
      "y": "1.093309509"
    },
    {
      "turn": "-0.372160297",
      "x": "0.189985222",
      "y": "1.099410413"
    },
    {
      "turn": "-0.375746576",
      "x": "0.177866149",
      "y": "1.112981914"
    },
    {
      "turn": "-0.377902853",
      "x": "0.170610482",
      "y": "1.121185453"
    },
    {
      "turn": "-0.386376983",
      "x": "0.142273647",
      "y": "1.153388961"
    },
    {
      "turn": "-0.395449319",
      "x": "0.111286644",
      "y": "1.186842270"
    },
    {
      "turn": "-0.399269391",
      "x": "0.098277210",
      "y": "1.200847549"
    },
    {
      "turn": "-0.403124028",
      "x": "0.085297469",
      "y": "1.214963245"
    },
    {
      "turn": "-0.404289107",
      "x": "0.081390788",
      "y": "1.219249643"
    },
    {
      "turn": "-0.409214326",
      "x": "0.065032068",
      "y": "1.237279265"
    },
    {
      "turn": "-0.412302497",
      "x": "0.054895929",
      "y": "1.248580294"
    },
    {
      "turn": "-0.415408592",
      "x": "0.044736175",
      "y": "1.259864966"
    },
    {
      "turn": "-0.419834840",
      "x": "0.030174938",
      "y": "1.275900008"
    },
    {
      "turn": "-0.424446185",
      "x": "0.015124672",
      "y": "1.292652336"
    },
    {
      "turn": "-0.429727794",
      "x": "-0.002006668",
      "y": "1.311916927"
    },
    {
      "turn": "-0.432876671",
      "x": "-0.012156631",
      "y": "1.323441848"
    },
    {
      "turn": "-0.438315357",
      "x": "-0.029686088",
      "y": "1.343277348"
    },
    {
      "turn": "-0.445844819",
      "x": "-0.054040498",
      "y": "1.370203900"
    },
    {
      "turn": "-0.450844119",
      "x": "-0.070259668",
      "y": "1.387864390"
    },
    {
      "turn": "-0.454957684",
      "x": "-0.083572882",
      "y": "1.402286320"
    },
    {
      "turn": "-0.458070882",
      "x": "-0.093533047",
      "y": "1.413237789"
    },
    {
      "turn": "-0.461075949",
      "x": "-0.103120267",
      "y": "1.423755048"
    },
    {
      "turn": "-0.464192771",
      "x": "-0.112963682",
      "y": "1.434643326"
    },
    {
      "turn": "-0.467707969",
      "x": "-0.124033898",
      "y": "1.446964393"
    },
    {
      "turn": "-0.471175046",
      "x": "-0.134833065",
      "y": "1.459038143"
    },
    {
      "turn": "-0.478506275",
      "x": "-0.157556553",
      "y": "1.484434601"
    },
    {
      "turn": "-0.481741806",
      "x": "-0.167491720",
      "y": "1.495600802"
    },
    {
      "turn": "-0.485650728",
      "x": "-0.179373314",
      "y": "1.509063084"
    },
    {
      "turn": "-0.489366041",
      "x": "-0.190517262",
      "y": "1.521906021"
    },
    {
      "turn": "-0.493273598",
      "x": "-0.202007054",
      "y": "1.535466857"
    },
    {
      "turn": "-0.498913335",
      "x": "-0.218226817",
      "y": "1.555152422"
    },
    {
      "turn": "-0.503940200",
      "x": "-0.232389546",
      "y": "1.572723111"
    },
    {
      "turn": "-0.509791332",
      "x": "-0.248507409",
      "y": "1.593199235"
    },
    {
      "turn": "-0.511420272",
      "x": "-0.252916830",
      "y": "1.598898757"
    },
    {
      "turn": "-0.512467423",
      "x": "-0.255737887",
      "y": "1.602574448"
    },
    {
      "turn": "-0.516695346",
      "x": "-0.267004226",
      "y": "1.617412768"
    },
    {
      "turn": "-0.519791575",
      "x": "-0.275134180",
      "y": "1.628303326"
    },
    {
      "turn": "-0.522108506",
      "x": "-0.281155610",
      "y": "1.636399417"
    },
    {
      "turn": "-0.523704083",
      "x": "-0.285268280",
      "y": "1.641984560"
    },
    {
      "turn": "-0.526564892",
      "x": "-0.292532640",
      "y": "1.651969333"
    },
    {
      "turn": "-0.530170283",
      "x": "-0.301619943",
      "y": "1.664502144"
    },
    {
      "turn": "-0.533310624",
      "x": "-0.309419886",
      "y": "1.675358197"
    },
    {
      "turn": "-0.537389226",
      "x": "-0.319349135",
      "y": "1.689437671"
    },
    {
      "turn": "-0.541174086",
      "x": "-0.328533863",
      "y": "1.702363497"
    },
    {
      "turn": "-0.541549418",
      "x": "-0.329432773",
      "y": "1.703652276"
    },
    {
      "turn": "-0.545433072",
      "x": "-0.338839637",
      "y": "1.716820743"
    },
    {
      "turn": "-0.549401883",
      "x": "-0.348315261",
      "y": "1.730230148"
    },
    {
      "turn": "-0.554560311",
      "x": "-0.360618357",
      "y": "1.747440453"
    },
    {
      "turn": "-0.556793243",
      "x": "-0.365932806",
      "y": "1.754858650"
    },
    {
      "turn": "-0.559449588",
      "x": "-0.372230366",
      "y": "1.763641779"
    },
    {
      "turn": "-0.562482256",
      "x": "-0.379337465",
      "y": "1.773606056"
    },
    {
      "turn": "-0.566231144",
      "x": "-0.388093384",
      "y": "1.785850080"
    },
    {
      "turn": "-0.569048417",
      "x": "-0.394569706",
      "y": "1.795030523"
    },
    {
      "turn": "-0.570554461",
      "x": "-0.397983358",
      "y": "1.799923520"
    },
    {
      "turn": "-0.572000058",
      "x": "-0.401233116",
      "y": "1.804623693"
    },
    {
      "turn": "-0.575628166",
      "x": "-0.409342806",
      "y": "1.816371395"
    },
    {
      "turn": "-0.579264157",
      "x": "-0.417352554",
      "y": "1.828109609"
    },
    {
      "turn": "-0.582859628",
      "x": "-0.425220974",
      "y": "1.839659223"
    },
    {
      "turn": "-0.586533948",
      "x": "-0.433142905",
      "y": "1.851441219"
    },
    {
      "turn": "-0.590314399",
      "x": "-0.441207468",
      "y": "1.863487122"
    },
    {
      "turn": "-0.593289390",
      "x": "-0.447447762",
      "y": "1.872944899"
    },
    {
      "turn": "-0.597118402",
      "x": "-0.455348915",
      "y": "1.885077119"
    },
    {
      "turn": "-0.602765998",
      "x": "-0.466868353",
      "y": "1.902814322"
    },
    {
      "turn": "-0.607472715",
      "x": "-0.476365547",
      "y": "1.917449089"
    },
    {
      "turn": "-0.608246794",
      "x": "-0.477904499",
      "y": "1.922723739"
    },
    {
      "turn": "-0.609317949",
      "x": "-0.480041570",
      "y": "1.930115993"
    },
    {
      "turn": "-0.611264083",
      "x": "-0.483901436",
      "y": "1.943072679"
    },
    {
      "turn": "-0.612970612",
      "x": "-0.487257620",
      "y": "1.954174361"
    },
    {
      "turn": "-0.614381406",
      "x": "-0.490012531",
      "y": "1.963221313"
    },
    {
      "turn": "-0.617141615",
      "x": "-0.495376431",
      "y": "1.980699514"
    },
    {
      "turn": "-0.622919546",
      "x": "-0.506033030",
      "y": "2.014740136"
    },
    {
      "turn": "-0.633418462",
      "x": "-0.519827502",
      "y": "2.063964890"
    },
    {
      "turn": "-0.639751569",
      "x": "-0.524171559",
      "y": "2.082685344"
    },
    {
      "turn": "-0.646651646",
      "x": "-0.528793170",
      "y": "2.102869844"
    },
    {
      "turn": "-0.648149530",
      "x": "-0.529685865",
      "y": "2.107046014"
    },
    {
      "turn": "-0.649454220",
      "x": "-0.530452816",
      "y": "2.110688645"
    },
    {
      "turn": "-0.650255134",
      "x": "-0.530949712",
      "y": "2.112928256"
    },
    {
      "turn": "-0.651120249",
      "x": "-0.531481764",
      "y": "2.115348991"
    },
    {
      "turn": "-0.654247216",
      "x": "-0.533361937",
      "y": "2.124095892"
    },
    {
      "turn": "-0.655144040",
      "x": "-0.533898984",
      "y": "2.126580732"
    },
    {
      "turn": "-0.656116704",
      "x": "-0.534474765",
      "y": "2.129276808"
    },
    {
      "turn": "-0.658413783",
      "x": "-0.535809085",
      "y": "2.135650503"
    },
    {
      "turn": "-0.659910033",
      "x": "-0.536714395",
      "y": "2.139810926"
    },
    {
      "turn": "-0.661368726",
      "x": "-0.537580709",
      "y": "2.143865292"
    },
    {
      "turn": "-0.665637317",
      "x": "-0.540009234",
      "y": "2.155618960"
    },
    {
      "turn": "-0.668082066",
      "x": "-0.541363828",
      "y": "2.162366007"
    },
    {
      "turn": "-0.672426939",
      "x": "-0.543663959",
      "y": "2.174211030"
    },
    {
      "turn": "-0.673768714",
      "x": "-0.544421815",
      "y": "2.177883395"
    },
    {
      "turn": "-0.675114792",
      "x": "-0.545171789",
      "y": "2.181571953"
    },
    {
      "turn": "-0.677954005",
      "x": "-0.546670795",
      "y": "2.189249603"
    },
    {
      "turn": "-0.679961119",
      "x": "-0.547697251",
      "y": "2.194675207"
    },
    {
      "turn": "-0.679861829",
      "x": "-0.554824223",
      "y": "2.212074433"
    },
    {
      "turn": "-0.679829348",
      "x": "-0.555961102",
      "y": "2.214743108"
    },
    {
      "turn": "-0.679796166",
      "x": "-0.557119670",
      "y": "2.217461824"
    },
    {
      "turn": "-0.679688403",
      "x": "-0.560879352",
      "y": "2.226278119"
    },
    {
      "turn": "-0.679564699",
      "x": "-0.565199219",
      "y": "2.236399124"
    },
    {
      "turn": "-0.679504285",
      "x": "-0.566632616",
      "y": "2.239630658"
    },
    {
      "turn": "-0.679441088",
      "x": "-0.568131964",
      "y": "2.243009204"
    },
    {
      "turn": "-0.679283757",
      "x": "-0.571868356",
      "y": "2.251421751"
    },
    {
      "turn": "-0.679192347",
      "x": "-0.574026459",
      "y": "2.256272242"
    },
    {
      "turn": "-0.679000914",
      "x": "-0.577926700",
      "y": "2.264857845"
    },
    {
      "turn": "-0.678917882",
      "x": "-0.579620170",
      "y": "2.268581955"
    },
    {
      "turn": "-0.678839795",
      "x": "-0.581213726",
      "y": "2.272084289"
    },
    {
      "turn": "-0.678748993",
      "x": "-0.582924608",
      "y": "2.275796194"
    },
    {
      "turn": "-0.678654871",
      "x": "-0.584699301",
      "y": "2.279643981"
    },
    {
      "turn": "-0.678476164",
      "x": "-0.588072284",
      "y": "2.286949877"
    },
    {
      "turn": "-0.678356858",
      "x": "-0.590095180",
      "y": "2.291245875"
    },
    {
      "turn": "-0.678220883",
      "x": "-0.592402879",
      "y": "2.296142240"
    },
    {
      "turn": "-0.677856462",
      "x": "-0.598599126",
      "y": "2.309265760"
    },
    {
      "turn": "-0.677665538",
      "x": "-0.601483136",
      "y": "2.315217177"
    },
    {
      "turn": "-0.677182304",
      "x": "-0.608767992",
      "y": "2.330200309"
    },
    {
      "turn": "-0.678527183",
      "x": "-0.613336769",
      "y": "2.342289577"
    },
    {
      "turn": "-0.681032382",
      "x": "-0.618388475",
      "y": "2.358345556"
    },
    {
      "turn": "-0.683529491",
      "x": "-0.623133076",
      "y": "2.373723677"
    },
    {
      "turn": "-0.685384424",
      "x": "-0.626635846",
      "y": "2.385097378"
    },
    {
      "turn": "-0.688690524",
      "x": "-0.632802755",
      "y": "2.405059784"
    },
    {
      "turn": "-0.690013823",
      "x": "-0.635251276",
      "y": "2.412916145"
    },
    {
      "turn": "-0.691375087",
      "x": "-0.637772920",
      "y": "2.421038478"
    },
    {
      "turn": "-0.694294796",
      "x": "-0.643145673",
      "y": "2.438124520"
    },
    {
      "turn": "-0.698238857",
      "x": "-0.650278561",
      "y": "2.460768870"
    },
    {
      "turn": "-0.701907581",
      "x": "-0.656871982",
      "y": "2.481544673"
    },
    {
      "turn": "-0.704364640",
      "x": "-0.661260105",
      "y": "2.495311000"
    },
    {
      "turn": "-0.706671692",
      "x": "-0.665329523",
      "y": "2.508200850"
    },
    {
      "turn": "-0.708186822",
      "x": "-0.667999831",
      "y": "2.516594661"
    },
    {
      "turn": "-0.709952638",
      "x": "-0.671089680",
      "y": "2.526404701"
    },
    {
      "turn": "-0.714170273",
      "x": "-0.678413094",
      "y": "2.549673742"
    },
    {
      "turn": "-0.715780110",
      "x": "-0.681166053",
      "y": "2.558487393"
    },
    {
      "turn": "-0.717755613",
      "x": "-0.684541398",
      "y": "2.569314909"
    },
    {
      "turn": "-0.720918345",
      "x": "-0.689925143",
      "y": "2.586575863"
    },
    {
      "turn": "-0.721793364",
      "x": "-0.691409969",
      "y": "2.590645584"
    },
    {
      "turn": "-0.722616326",
      "x": "-0.692803142",
      "y": "2.594480485"
    },
    {
      "turn": "-0.724607048",
      "x": "-0.696164442",
      "y": "2.603739885"
    },
    {
      "turn": "-0.729272495",
      "x": "-0.703943616",
      "y": "2.625378362"
    },
    {
      "turn": "-0.732907994",
      "x": "-0.709962586",
      "y": "2.642121464"
    },
    {
      "turn": "-0.738944451",
      "x": "-0.719830296",
      "y": "2.669799391"
    },
    {
      "turn": "-0.744669158",
      "x": "-0.729069437",
      "y": "2.696141068"
    },
    {
      "turn": "-0.748972550",
      "x": "-0.735942489",
      "y": "2.715878096"
    },
    {
      "turn": "-0.751670185",
      "x": "-0.740240012",
      "y": "2.728233301"
    },
    {
      "turn": "-0.752910515",
      "x": "-0.742212003",
      "y": "2.733913185"
    },
    {
      "turn": "-0.754195613",
      "x": "-0.744235521",
      "y": "2.739786736"
    },
    {
      "turn": "-0.757573669",
      "x": "-0.749578071",
      "y": "2.755241284"
    },
    {
      "turn": "-0.758960672",
      "x": "-0.751742961",
      "y": "2.761590079"
    },
    {
      "turn": "-0.760348535",
      "x": "-0.753899047",
      "y": "2.767935473"
    },
    {
      "turn": "-0.761783563",
      "x": "-0.756123833",
      "y": "2.774519809"
    },
    {
      "turn": "-0.763130430",
      "x": "-0.758212773",
      "y": "2.780699964"
    },
    {
      "turn": "-0.766932115",
      "x": "-0.764051243",
      "y": "2.798183023"
    },
    {
      "turn": "-0.770752160",
      "x": "-0.769888249",
      "y": "2.815586574"
    },
    {
      "turn": "-0.775340249",
      "x": "-0.776822486",
      "y": "2.836066271"
    },
    {
      "turn": "-0.778526493",
      "x": "-0.781601448",
      "y": "2.850082794"
    },
    {
      "turn": "-0.780877738",
      "x": "-0.785107866",
      "y": "2.860419339"
    },
    {
      "turn": "-0.783138436",
      "x": "-0.788444492",
      "y": "2.870366647"
    },
    {
      "turn": "-0.788252228",
      "x": "-0.795961120",
      "y": "2.892846261"
    },
    {
      "turn": "-0.793735066",
      "x": "-0.803948097",
      "y": "2.917077647"
    },
    {
      "turn": "-0.799508016",
      "x": "-0.812276368",
      "y": "2.942606905"
    },
    {
      "turn": "-0.805757822",
      "x": "-0.821201387",
      "y": "2.970306177"
    },
    {
      "turn": "-0.812069739",
      "x": "-0.830120557",
      "y": "2.998345581"
    },
    {
      "turn": "-0.815538442",
      "x": "-0.834991383",
      "y": "3.013790780"
    },
    {
      "turn": "-0.819017799",
      "x": "-0.839833415",
      "y": "3.029276277"
    },
    {
      "turn": "-0.826018688",
      "x": "-0.847160154",
      "y": "3.058410270"
    },
    {
      "turn": "-0.832478723",
      "x": "-0.853833727",
      "y": "3.085320555"
    },
    {
      "turn": "-0.835714148",
      "x": "-0.857147362",
      "y": "3.098842586"
    },
    {
      "turn": "-0.837180745",
      "x": "-0.858648429",
      "y": "3.104978823"
    },
    {
      "turn": "-0.838079340",
      "x": "-0.859558206",
      "y": "3.108740057"
    },
    {
      "turn": "-0.838922862",
      "x": "-0.860409815",
      "y": "3.112274606"
    },
    {
      "turn": "-0.839829971",
      "x": "-0.861325970",
      "y": "3.116065082"
    },
    {
      "turn": "-0.840686612",
      "x": "-0.862190322",
      "y": "3.119646732"
    },
    {
      "turn": "-0.841720264",
      "x": "-0.863231394",
      "y": "3.123976960"
    },
    {
      "turn": "-0.842803025",
      "x": "-0.864320152",
      "y": "3.128522224"
    },
    {
      "turn": "-0.847873148",
      "x": "-0.869378890",
      "y": "3.149856264"
    },
    {
      "turn": "-0.853515236",
      "x": "-0.874959593",
      "y": "3.173645838"
    },
    {
      "turn": "-0.858062868",
      "x": "-0.879409729",
      "y": "3.192702721"
    },
    {
      "turn": "-0.862590622",
      "x": "-0.883795619",
      "y": "3.211552600"
    },
    {
      "turn": "-0.867121908",
      "x": "-0.888144563",
      "y": "3.230236360"
    },
    {
      "turn": "-0.871804181",
      "x": "-0.892596112",
      "y": "3.249454220"
    },
    {
      "turn": "-0.876633405",
      "x": "-0.897142317",
      "y": "3.269166750"
    },
    {
      "turn": "-0.881337094",
      "x": "-0.901532149",
      "y": "3.287202859"
    },
    {
      "turn": "-0.882222299",
      "x": "-0.902355346",
      "y": "3.290563349"
    },
    {
      "turn": "-0.883090778",
      "x": "-0.903159185",
      "y": "3.293861581"
    },
    {
      "turn": "-0.884724767",
      "x": "-0.904666948",
      "y": "3.300079315"
    },
    {
      "turn": "-0.889680752",
      "x": "-0.909210431",
      "y": "3.318535543"
    },
    {
      "turn": "-0.895524430",
      "x": "-0.914518615",
      "y": "3.340230661"
    },
    {
      "turn": "-0.901549165",
      "x": "-0.919925024",
      "y": "3.362542044"
    },
    {
      "turn": "-0.906041669",
      "x": "-0.923916469",
      "y": "3.378209170"
    },
    {
      "turn": "-0.912503847",
      "x": "-0.929613666",
      "y": "3.400475651"
    },
    {
      "turn": "-0.918426649",
      "x": "-0.934767887",
      "y": "3.420499024"
    },
    {
      "turn": "-0.925668337",
      "x": "-0.940985662",
      "y": "3.444649147"
    },
    {
      "turn": "-0.933557842",
      "x": "-0.947682232",
      "y": "3.470939299"
    },
    {
      "turn": "-0.937930189",
      "x": "-0.951361527",
      "y": "3.485512557"
    },
    {
      "turn": "-0.942514909",
      "x": "-0.955152873",
      "y": "3.500770426"
    },
    {
      "turn": "-0.949285846",
      "x": "-0.960707864",
      "y": "3.523211884"
    },
    {
      "turn": "-0.954721150",
      "x": "-0.965122169",
      "y": "3.541149790"
    },
    {
      "turn": "-0.961108423",
      "x": "-0.970214066",
      "y": "3.562135458"
    },
    {
      "turn": "-0.966749190",
      "x": "-0.974650435",
      "y": "3.580609541"
    },
    {
      "turn": "-0.970803612",
      "x": "-0.977807490",
      "y": "3.593768857"
    },
    {
      "turn": "-0.975646064",
      "x": "-0.981568072",
      "y": "3.609203354"
    },
    {
      "turn": "-0.981041195",
      "x": "-0.985704314",
      "y": "3.625271042"
    },
    {
      "turn": "-0.986261817",
      "x": "-0.989678154",
      "y": "3.640609224"
    },
    {
      "turn": "-0.991625752",
      "x": "-0.993745209",
      "y": "3.656193889"
    },
    {
      "turn": "-0.996541075",
      "x": "-0.997452572",
      "y": "3.670268489"
    },
    {
      "turn": "-1.000000000",
      "x": "-1.000054860",
      "y": "3.680030083"
    }
  ]
}

DISCUSSION

Discussion

Discuss strategies, share construction methods, or ask questions. Any signed-in user can post under their public byline and unique #UID. New posts appear after moderation.

移动过程是不是有限制zzzcy#30816 replies16d ago P88 d = 0 之字形走廊题目锁定SneakyZero#10 replies17d ago 这是bug吗qiboqi#2800 replies19d ago 对本周挑战的评价*3NUE_13#310 replies23d ago