🏠
import numpy as np
import matplotlib.pyplot as plt
#fig, ax = plt.subplots(figsize=(2.9, 2.1))
fig, ax = plt.subplots()
#----------------
#_📈_301_10mMのMC-TEMPOL水溶液のESRスペクトル(16mW・マンガン有)
xy_301 = [(336.76,-1) \
, (336.76001,-1) \
, (336.76003,-1) \
, (336.76005,-2) \
, (336.76007,-1) \
, (336.76009,-1) \
, (336.76011,-2) \
, (336.76013,-1) \
, (336.76015,-1) \
, (336.76017,-1) \
, (336.76019,-1) \
, (336.76021,-1) \
, (336.76023,-1) \
, (336.76025,-2) \
, (336.76027,-1) \
, (336.76029,-2) \
, (336.76031,-1) \
, (336.76033,-1) \
, (336.76035,-1) \
, (336.76037,-1) \
, (336.76039,-1) \
, (336.76041,-1) \
, (336.76042,-1) \
, (336.76044,-1) \
, (336.76046,-1) \
, (336.76048,-1) \
, (336.76050,-2) \
, (336.76052,-2) \
, (336.76054,-2) \
, (336.76056,-2) \
, (336.76058,-2) \
, (336.76060,-2) \
, (336.76062,-1) \
, (336.76064,-1) \
, (336.76066,-2) \
, (336.76068,-1) \
, (336.76070,-1) \
, (336.76072,-1) \
, (336.76074,-1) \
, (336.76076,-2) \
, (336.76078,-2) \
, (336.76080,-1) \
, (336.76082,-1) \
, (336.76084,-1) \
, (336.76085,-2) \
, (336.76087,-1) \
, (336.76089,-2) \
, (336.76091,-2) \
, (336.76093,-2) \
, (336.76095,-1) \
, (336.76097,-2) \
, (336.76099,-2) \
, (336.76101,-1) \
, (336.76103,-2) \
, (336.76105,-2) \
, (336.76107,-2) \
, (336.76109,-2) \
, (336.76111,-2) \
, (336.76113,-2) \
, (336.76115,-2) \
, (336.76117,-2) \
, (336.76119,-2) \
, (336.76121,-2) \
, (336.76123,-2) \
, (336.76125,-2) \
, (336.76126,-2) \
, (336.76128,-2) \
, (336.76130,-3) \
, (336.76132,-3) \
, (336.76134,-2) \
, (336.76136,-2) \
, (336.76138,-2) \
, (336.76140,-2) \
, (336.76142,-2) \
, (336.76144,-2) \
, (336.76146,-3) \
, (336.76148,-2) \
, (336.76150,-2) \
, (336.76152,-2) \
, (336.76154,-2) \
, (336.76156,-2) \
, (336.76158,-2) \
, (336.76160,-2) \
, (336.76162,-3) \
, (336.76164,-3) \
, (336.76166,-2) \
, (336.76168,-2) \
, (336.76169,-3) \
, (336.76171,-3) \
, (336.76173,-3) \
, (336.76175,-3) \
, (336.76177,-3) \
, (336.76179,-2) \
, (336.76181,-2) \
, (336.76183,-2) \
, (336.76185,-3) \
, (336.76187,-3) \
, (336.76189,-3) \
, (336.76191,-3) \
, (336.76193,-3) \
, (336.76195,-3) \
, (336.76197,-3) \
, (336.76199,-3) \
, (336.76201,-2) \
, (336.76203,-3) \
, (336.76205,-3) \
, (336.76207,-3) \
, (336.76209,-3) \
, (336.76210,-3) \
, (336.76212,-3) \
, (336.76214,-3) \
, (336.76216,-3) \
, (336.76218,-3) \
, (336.76220,-4) \
, (336.76222,-3) \
, (336.76224,-4) \
, (336.76226,-3) \
, (336.76228,-4) \
, (336.76230,-3) \
, (336.76232,-3) \
, (336.76234,-4) \
, (336.76236,-3) \
, (336.76238,-4) \
, (336.76240,-4) \
, (336.76242,-4) \
, (336.76244,-3) \
, (336.76246,-3) \
, (336.76248,-3) \
, (336.76250,-3) \
, (336.76252,-3) \
, (336.76253,-3) \
, (336.76255,-3) \
, (336.76257,-3) \
, (336.76259,-3) \
, (336.76261,-3) \
, (336.76263,-3) \
, (336.76265,-3) \
, (336.76267,-3) \
, (336.76269,-3) \
, (336.76271,-2) \
, (336.76273,-2) \
, (336.76275,-2) \
, (336.76277,-2) \
, (336.76279,-1) \
, (336.76281,-1) \
, (336.76283,-1) \
, (336.76285,-1) \
, (336.76287,-1) \
, (336.76289,0) \
, (336.76291,0) \
, (336.76293,0) \
, (336.76294,0) \
, (336.76296,0) \
, (336.76298,0) \
, (336.76300,0) \
, (336.76302,0) \
, (336.76304,1) \
, (336.76306,1) \
, (336.76308,0) \
, (336.76310,1) \
, (336.76312,1) \
, (336.76314,1) \
, (336.76316,1) \
, (336.76318,1) \
, (336.76320,1) \
, (336.76322,1) \
, (336.76324,1) \
, (336.76326,2) \
, (336.76328,2) \
, (336.76330,2) \
, (336.76332,2) \
, (336.76334,2) \
, (336.76336,1) \
, (336.76337,2) \
, (336.76339,2) \
, (336.76341,2) \
, (336.76343,1) \
, (336.76345,2) \
, (336.76347,2) \
, (336.76349,2) \
, (336.76351,2) \
, (336.76353,2) \
, (336.76355,2) \
, (336.76357,2) \
, (336.76359,1) \
, (336.76361,1) \
, (336.76363,2) \
, (336.76365,1) \
, (336.76367,1) \
, (336.76369,2) \
, (336.76371,1) \
, (336.76373,1) \
, (336.76375,1) \
, (336.76377,1) \
, (336.76378,1) \
, (336.76380,1) \
, (336.76382,1) \
, (336.76384,1) \
, (336.76386,1) \
, (336.76388,1) \
, (336.76390,1) \
, (336.76392,1) \
, (336.76394,0) \
, (336.76396,1) \
, (336.76398,1) \
, (336.76400,1) \
, (336.76402,1) \
, (336.76404,1) \
, (336.76406,1) \
, (336.76408,0) \
, (336.76410,0) \
, (336.76412,1) \
, (336.76414,1) \
, (336.76416,1) \
, (336.76418,1) \
, (336.76420,1) \
, (336.76421,1) \
, (336.76423,1) \
, (336.76425,0) \
, (336.76427,0) \
, (336.76429,0) \
, (336.76431,0) \
, (336.76433,1) \
, (336.76435,1) \
, (336.76437,0) \
, (336.76439,0) \
, (336.76441,0) \
, (336.76443,0) \
, (336.76445,0) \
, (336.76447,0) \
, (336.76449,0) \
, (336.76451,0) \
, (336.76453,0) \
, (336.76455,0) \
, (336.76457,0) \
, (336.76459,0) \
, (336.76461,0) \
, (336.76463,0) \
, (336.76464,0) \
, (336.76466,0) \
, (336.76468,0) \
, (336.76470,0) \
, (336.76472,0) \
, (336.76474,0) \
, (336.76476,0) \
, (336.76478,0) \
, (336.76480,0) \
, (336.76482,0) \
, (336.76484,0) \
, (336.76486,0) \
, (336.76488,0) \
, (336.76490,0) \
, (336.76492,0) \
, (336.76494,0) \
, (336.76496,0) \
, (336.76498,0) \
]
z_301 = [list(t) for t in zip(*xy_301)]; x_301 = z_301[0]; y_301 = z_301[1]
ax.scatter(x_301, y_301)
ax.plot(x_301, y_301)
ax.annotate('ID=301' \
, xy=(np.mean(x_301),np.mean(y_301)) \
, xytext=(np.mean(x_301)+ np.std(y_301), np.mean(y_301) + np.std(y_301)) \
, arrowprops=dict(arrowstyle="->"))
#----------------
plt.show()
A4 (210 × 297mm)あるいは少し大きめのレターサイズ(215.9 × 279.4ミリ)が一般的です。 2 カラムとすると 3.34645669291339インチ程度。 アスペクトを 4:3にすれば、2.9インチ×2.1インチぐらいの図が論文投稿の図として適切です。
サーバーサイドでラスタライズ(bmp,jpg,png)しているので、レスポンシブな表示が可能です。 サーバーサイドでダイナミックに生成している画像なので、ダウンロードだけでなく、リンクもできます。
クライアントサイドでラスタライズ(bmp,jpg,png)しているので、レスポンシブな表示が可能です。 クライアントサイドでダイナミックに生成している画像なので、ダウンロードはできますが、リンクはできません。
| xmin | 336.76 |
| xmax | 336.84 |
| ymin | -2035.3 |
| ymax | 2227.53 |
,[336.76,-1 ],[336.76001,-1 ],[336.76003,-1 ],[336.76005,-2 ],[336.76007,-1 ],[336.76009,-1 ],[336.76011,-2 ],[336.76013,-1 ],[336.76015,-1 ],[336.76017,-1 ],[336.76019,-1 ],[336.76021,-1 ],[336.76023,-1 ],[336.76025,-2 ],[336.76027,-1 ],[336.76029,-2 ],[336.76031,-1 ],[336.76033,-1 ],[336.76035,-1 ],[336.76037,-1 ],[336.76039,-1 ],[336.76041,-1 ],[336.76042,-1 ],[336.76044,-1 ],[336.76046,-1 ],[336.76048,-1 ],[336.76050,-2 ],[336.76052,-2 ],[336.76054,-2 ],[336.76056,-2 ],[336.76058,-2 ],[336.76060,-2 ],[336.76062,-1 ],[336.76064,-1 ],[336.76066,-2 ],[336.76068,-1 ],[336.76070,-1 ],[336.76072,-1 ],[336.76074,-1 ],[336.76076,-2 ],[336.76078,-2 ],[336.76080,-1 ],[336.76082,-1 ],[336.76084,-1 ],[336.76085,-2 ],[336.76087,-1 ],[336.76089,-2 ],[336.76091,-2 ],[336.76093,-2 ],[336.76095,-1 ],[336.76097,-2 ],[336.76099,-2 ],[336.76101,-1 ],[336.76103,-2 ],[336.76105,-2 ],[336.76107,-2 ],[336.76109,-2 ],[336.76111,-2 ],[336.76113,-2 ],[336.76115,-2 ],[336.76117,-2 ],[336.76119,-2 ],[336.76121,-2 ],[336.76123,-2 ],[336.76125,-2 ],[336.76126,-2 ],[336.76128,-2 ],[336.76130,-3 ],[336.76132,-3 ],[336.76134,-2 ],[336.76136,-2 ],[336.76138,-2 ],[336.76140,-2 ],[336.76142,-2 ],[336.76144,-2 ],[336.76146,-3 ],[336.76148,-2 ],[336.76150,-2 ],[336.76152,-2 ],[336.76154,-2 ],[336.76156,-2 ],[336.76158,-2 ],[336.76160,-2 ],[336.76162,-3 ],[336.76164,-3 ],[336.76166,-2 ],[336.76168,-2 ],[336.76169,-3 ],[336.76171,-3 ],[336.76173,-3 ],[336.76175,-3 ],[336.76177,-3 ],[336.76179,-2 ],[336.76181,-2 ],[336.76183,-2 ],[336.76185,-3 ],[336.76187,-3 ],[336.76189,-3 ],[336.76191,-3 ],[336.76193,-3 ],[336.76195,-3 ],[336.76197,-3 ],[336.76199,-3 ],[336.76201,-2 ],[336.76203,-3 ],[336.76205,-3 ],[336.76207,-3 ],[336.76209,-3 ],[336.76210,-3 ],[336.76212,-3 ],[336.76214,-3 ],[336.76216,-3 ],[336.76218,-3 ],[336.76220,-4 ],[336.76222,-3 ],[336.76224,-4 ],[336.76226,-3 ],[336.76228,-4 ],[336.76230,-3 ],[336.76232,-3 ],[336.76234,-4 ],[336.76236,-3 ],[336.76238,-4 ],[336.76240,-4 ],[336.76242,-4 ],[336.76244,-3 ],[336.76246,-3 ],[336.76248,-3 ],[336.76250,-3 ],[336.76252,-3 ],[336.76253,-3 ],[336.76255,-3 ],[336.76257,-3 ],[336.76259,-3 ],[336.76261,-3 ],[336.76263,-3 ],[336.76265,-3 ],[336.76267,-3 ],[336.76269,-3 ],[336.76271,-2 ],[336.76273,-2 ],[336.76275,-2 ],[336.76277,-2 ],[336.76279,-1 ],[336.76281,-1 ],[336.76283,-1 ],[336.76285,-1 ],[336.76287,-1 ],[336.76289,0 ],[336.76291,0 ],[336.76293,0 ],[336.76294,0 ],[336.76296,0 ],[336.76298,0 ],[336.76300,0 ],[336.76302,0 ],[336.76304,1 ],[336.76306,1 ],[336.76308,0 ],[336.76310,1 ],[336.76312,1 ],[336.76314,1 ],[336.76316,1 ],[336.76318,1 ],[336.76320,1 ],[336.76322,1 ],[336.76324,1 ],[336.76326,2 ],[336.76328,2 ],[336.76330,2 ],[336.76332,2 ],[336.76334,2 ],[336.76336,1 ],[336.76337,2 ],[336.76339,2 ],[336.76341,2 ],[336.76343,1 ],[336.76345,2 ],[336.76347,2 ],[336.76349,2 ],[336.76351,2 ],[336.76353,2 ],[336.76355,2 ],[336.76357,2 ],[336.76359,1 ],[336.76361,1 ],[336.76363,2 ],[336.76365,1 ],[336.76367,1 ],[336.76369,2 ],[336.76371,1 ],[336.76373,1 ],[336.76375,1 ],[336.76377,1 ],[336.76378,1 ],[336.76380,1 ],[336.76382,1 ],[336.76384,1 ],[336.76386,1 ],[336.76388,1 ],[336.76390,1 ],[336.76392,1 ],[336.76394,0 ],[336.76396,1 ],[336.76398,1 ],[336.76400,1 ],[336.76402,1 ],[336.76404,1 ],[336.76406,1 ],[336.76408,0 ],[336.76410,0 ],[336.76412,1 ],[336.76414,1 ],[336.76416,1 ],[336.76418,1 ],[336.76420,1 ],[336.76421,1 ],[336.76423,1 ],[336.76425,0 ],[336.76427,0 ],[336.76429,0 ],[336.76431,0 ],[336.76433,1 ],[336.76435,1 ],[336.76437,0 ],[336.76439,0 ],[336.76441,0 ],[336.76443,0 ],[336.76445,0 ],[336.76447,0 ],[336.76449,0 ],[336.76451,0 ],[336.76453,0 ],[336.76455,0 ],[336.76457,0 ],[336.76459,0 ],[336.76461,0 ],[336.76463,0 ],[336.76464,0 ],[336.76466,0 ],[336.76468,0 ],[336.76470,0 ],[336.76472,0 ],[336.76474,0 ],[336.76476,0 ],[336.76478,0 ],[336.76480,0 ],[336.76482,0 ],[336.76484,0 ],[336.76486,0 ],[336.76488,0 ],[336.76490,0 ],[336.76492,0 ],[336.76494,0 ],[336.76496,0 ],[336.76498,0 ],[336.76500,0 ],[336.76502,0 ],[336.76504,-1 ],[336.76505,-1 ],[336.76507,0 ],[336.76509,0 ],[336.76511,0 ],[336.76513,-1 ],[336.76515,-1 ],[336.76517,0 ],[336.76519,0 ],[336.76521,0 ],[336.76523,-1 ],[336.76525,-1 ],[336.76527,0 ],[336.76529,0 ],[336.76531,-1 ],[336.76533,0 ],[336.76535,-1 ],[336.76537,-1 ],[336.76539,-1 ],[336.76541,-1 ],[336.76543,-1 ],[336.76545,-1 ],[336.76547,-1 ],[336.76548,-1 ],[336.76550,-1 ],[336.76552,-1 ],[336.76554,-1 ],[336.76556,-1 ],[336.76558,-1 ],[336.76560,-1 ],[336.76562,-1 ],[336.76564,-1 ],[336.76566,-1 ],[336.76568,0 ],[336.76570,0 ],[336.76572,-1 ],[336.76574,-1 ],[336.76576,-1 ],[336.76578,-1 ],[336.76580,-1 ],[336.76582,-1 ],[336.76584,-1 ],[336.76586,0 ],[336.76588,-1 ],[336.76589,-1 ],[336.76591,-1 ],[336.76593,-1 ],[336.76595,-1 ],[336.76597,-1 ],[336.76599,-1 ],[336.76601,-1 ],[336.76603,-1 ],[336.76605,-1 ],[336.76607,-1 ],[336.76609,-1 ],[336.76611,-1 ],[336.76613,-1 ],[336.76615,-1 ],[336.76617,-1 ],[336.76619,-1 ],[336.76621,-1 ],[336.76623,-1 ],[336.76625,-1 ],[336.76627,-1 ],[336.76629,-1 ],[336.76631,0 ],[336.76632,-1 ],[336.76634,-1 ],[336.76636,-1 ],[336.76638,0 ],[336.76640,0 ],[336.76642,-1 ],[336.76644,-1 ],[336.76646,-1 ],[336.76648,-1 ],[336.76650,-1 ],[336.76652,-1 ],[336.76654,-1 ],[336.76656,-1 ],[336.76658,-1 ],[336.76660,-1 ],[336.76662,-1 ],[336.76664,-1 ],[336.76666,-1 ],[336.76668,-1 ],[336.76670,-1 ],[336.76672,-1 ],[336.76673,-1 ],[336.76675,-1 ],[336.76677,-1 ],[336.76679,-1 ],[336.76681,-1 ],[336.76683,-1 ],[336.76685,-1 ],[336.76687,-1 ],[336.76689,-1 ],[336.76691,-1 ],[336.76693,-1 ],[336.76695,-2 ],[336.76697,-1 ],[336.76699,-1 ],[336.76701,-1 ],[336.76703,-1 ],[336.76705,-1 ],[336.76707,-1 ],[336.76709,-1 ],[336.76711,0 ],[336.76713,-1 ],[336.76715,-1 ],[336.76716,-1 ],[336.76718,-1 ],[336.76720,-1 ],[336.76722,-1 ],[336.76724,-1 ],[336.76726,-1 ],[336.76728,-1 ],[336.76730,-1 ],[336.76732,-1 ],[336.76734,-1 ],[336.76736,-1 ],[336.76738,-1 ],[336.76740,0 ],[336.76742,-1 ],[336.76744,-1 ],[336.76746,-1 ],[336.76748,-1 ],[336.76750,-1 ],[336.76752,-1 ],[336.76754,-1 ],[336.76756,-1 ],[336.76757,-1 ],[336.76759,-1 ],[336.76761,-1 ],[336.76763,-1 ],[336.76765,-1 ],[336.76767,-1 ],[336.76769,-1 ],[336.76771,-1 ],[336.76773,-1 ],[336.76775,-1 ],[336.76777,-1 ],[336.76779,-1 ],[336.76781,-1 ],[336.76783,-1 ],[336.76785,-1 ],[336.76787,-1 ],[336.76789,-1 ],[336.76791,-1 ],[336.76793,-1 ],[336.76795,-1 ],[336.76797,-1 ],[336.76799,-1 ],[336.76800,0 ],[336.76802,-1 ],[336.76804,-1 ],[336.76806,-1 ],[336.76808,-1 ],[336.76810,-1 ],[336.76812,-2 ],[336.76814,-1 ],[336.76816,-1 ],[336.76818,-1 ],[336.76820,-1 ],[336.76822,-1 ],[336.76824,-1 ],[336.76826,-1 ],[336.76828,-1 ],[336.76830,-1 ],[336.76832,-1 ],[336.76834,-1 ],[336.76836,-1 ],[336.76838,-1 ],[336.76840,-1 ],[336.76842,-1 ],[336.76843,-1 ],[336.76845,-1 ],[336.76847,-1 ],[336.76849,-1 ],[336.76851,-1 ],[336.76853,-1 ],[336.76855,-1 ],[336.76857,-1 ],[336.76859,-1 ],[336.76861,-1 ],[336.76863,-1 ],[336.76865,-1 ],[336.76867,-1 ],[336.76869,-1 ],[336.76871,-1 ],[336.76873,-1 ],[336.76875,-1 ],[336.76877,-1 ],[336.76879,-1 ],[336.76881,-1 ],[336.76883,-1 ],[336.76884,-1 ],[336.76886,-1 ],[336.76888,-1 ],[336.76890,-1 ],[336.76892,-1 ],[336.76894,-1 ],[336.76896,-1 ],[336.76898,-1 ],[336.76900,-1 ],[336.76902,-1 ],[336.76904,-1 ],[336.76906,-1 ],[336.76908,0 ],[336.76910,-1 ],[336.76912,-1 ],[336.76914,-1 ],[336.76916,0 ],[336.76918,-1 ],[336.76920,-1 ],[336.76922,-1 ],[336.76924,-1 ],[336.76926,0 ],[336.76927,-1 ],[336.76929,0 ],[336.76931,0 ],[336.76933,0 ],[336.76935,-1 ],[336.76937,-1 ],[336.76939,-1 ],[336.76941,-1 ],[336.76943,-1 ],[336.76945,-1 ],[336.76947,-1 ],[336.76949,0 ],[336.76951,-1 ],[336.76953,-1 ],[336.76955,-1 ],[336.76957,0 ],[336.76959,-1 ],[336.76961,-1 ],[336.76963,-1 ],[336.76965,-1 ],[336.76967,-1 ],[336.76968,0 ],[336.76970,-1 ],[336.76972,-1 ],[336.76974,-1 ],[336.76976,-1 ],[336.76978,0 ],[336.76980,-1 ],[336.76982,-1 ],[336.76984,-1 ],[336.76986,-1 ],[336.76988,-1 ],[336.76990,-1 ],[336.76992,-1 ],[336.76994,-1 ],[336.76996,0 ],[336.76998,0 ],[336.77000,-1 ],[336.77002,-1 ],[336.77004,-1 ],[336.77006,-1 ],[336.77008,-1 ],[336.77010,-1 ],[336.77011,-1 ],[336.77013,-1 ],[336.77015,-1 ],[336.77017,-1 ],[336.77019,-1 ],[336.77021,-1 ],[336.77023,-1 ],[336.77025,-1 ],[336.77027,0 ],[336.77029,-1 ],[336.77031,-1 ],[336.77033,-1 ],[336.77035,-1 ],[336.77037,-1 ],[336.77039,0 ],[336.77041,0 ],[336.77043,0 ],[336.77045,0 ],[336.77047,0 ],[336.77049,0 ],[336.77051,0 ],[336.77052,-1 ],[336.77054,-1 ],[336.77056,0 ],[336.77058,-1 ],[336.77060,0 ],[336.77062,-1 ],[336.77064,-1 ],[336.77066,-1 ],[336.77068,-1 ],[336.77070,-1 ],[336.77072,0 ],[336.77074,-1 ],[336.77076,-1 ],[336.77078,-1 ],[336.77080,0 ],[336.77082,-1 ],[336.77084,-1 ],[336.77086,-1 ],[336.77088,0 ],[336.77090,0 ],[336.77092,-1 ],[336.77094,0 ],[336.77095,0 ],[336.77097,0 ],[336.77099,-1 ],[336.77101,-1 ],[336.77103,-1 ],[336.77105,-1 ],[336.77107,-1 ],[336.77109,0 ],[336.77111,0 ],[336.77113,-1 ],[336.77115,0 ],[336.77117,0 ],[336.77119,0 ],[336.77121,-1 ],[336.77123,0 ],[336.77125,0 ],[336.77127,0 ],[336.77129,-1 ],[336.77131,0 ],[336.77133,0 ],[336.77135,0 ],[336.77136,0 ],[336.77138,0 ],[336.77140,0 ],[336.77142,0 ],[336.77144,0 ],[336.77146,0 ],[336.77148,0 ],[336.77150,0 ],[336.77152,0 ],[336.77154,0 ],[336.77156,0 ],[336.77158,0 ],[336.77160,-1 ],[336.77162,0 ],[336.77164,0 ],[336.77166,0 ],[336.77168,0 ],[336.77170,0 ],[336.77172,0 ],[336.77174,1 ],[336.77176,0 ],[336.77178,0 ],[336.77179,0 ],[336.77181,0 ],[336.77183,0 ],[336.77185,0 ],[336.77187,0 ],[336.77189,0 ],[336.77191,0 ],[336.77193,0 ],[336.77195,0 ],[336.77197,0 ],[336.77199,0 ],[336.77201,0 ],[336.77203,0 ],[336.77205,0 ],[336.77207,0 ],[336.77209,0 ],[336.77211,0 ],[336.77213,0 ],[336.77215,0 ],[336.77217,0 ],[336.77219,0 ],[336.77221,0 ],[336.77222,1 ],[336.77224,0 ],[336.77226,0 ],[336.77228,1 ],[336.77230,0 ],[336.77232,0 ],[336.77234,0 ],[336.77236,1 ],[336.77238,0 ],[336.77240,1 ],[336.77242,0 ],[336.77244,0 ],[336.77246,0 ],[336.77248,0 ],[336.77250,1 ],[336.77252,1 ],[336.77254,0 ],[336.77256,1 ],[336.77258,1 ],[336.77260,1 ],[336.77262,0 ],[336.77263,1 ],[336.77265,1 ],[336.77267,1 ],[336.77269,0 ],[336.77271,1 ],[336.77273,0 ],[336.77275,0 ],[336.77277,0 ],[336.77279,1 ],[336.77281,0 ],[336.77283,0 ],[336.77285,0 ],[336.77287,1 ],[336.77289,0 ],[336.77291,0 ],[336.77293,0 ],[336.77295,0 ],[336.77297,0 ],[336.77299,0 ],[336.77301,0 ],[336.77303,0 ],[336.77305,0 ],[336.77306,1 ],[336.77308,0 ],[336.77310,1 ],[336.77312,1 ],[336.77314,1 ],[336.77316,1 ],[336.77318,1 ],[336.77320,0 ],[336.77322,1 ],[336.77324,0 ],[336.77326,0 ],[336.77328,0 ],[336.77330,1 ],[336.77332,1 ],[336.77334,0 ],[336.77336,0 ],[336.77338,1 ],[336.77340,1 ],[336.77342,1 ],[336.77344,1 ],[336.77346,1 ],[336.77347,1 ],[336.77349,1 ],[336.77351,1 ],[336.77353,1 ],[336.77355,1 ],[336.77357,1 ],[336.77359,1 ],[336.77361,1 ],[336.77363,1 ],[336.77365,1 ],[336.77367,1 ],[336.77369,1 ],[336.77371,0 ],[336.77373,1 ],[336.77375,1 ],[336.77377,1 ],[336.77379,1 ],[336.77381,1 ],[336.77383,1 ],[336.77385,1 ],[336.77387,1 ],[336.77389,1 ],[336.77390,1 ],[336.77392,2 ],[336.77394,1 ],[336.77396,1 ],[336.77398,1 ],[336.77400,1 ],[336.77402,1 ],[336.77404,1 ],[336.77406,1 ],[336.77408,1 ],[336.77410,2 ],[336.77412,2 ],[336.77414,2 ],[336.77416,1 ],[336.77418,1 ],[336.77420,1 ],[336.77422,1 ],[336.77424,1 ],[336.77426,1 ],[336.77428,1 ],[336.77430,2 ],[336.77431,2 ],[336.77433,1 ],[336.77435,1 ],[336.77437,2 ],[336.77439,2 ],[336.77441,2 ],[336.77443,2 ],[336.77445,2 ],[336.77447,2 ],[336.77449,2 ],[336.77451,2 ],[336.77453,2 ],[336.77455,2 ],[336.77457,2 ],[336.77459,2 ],[336.77461,2 ],[336.77463,1 ],[336.77465,2 ],[336.77467,1 ],[336.77469,2 ],[336.77471,2 ],[336.77473,2 ],[336.77474,2 ],[336.77476,2 ],[336.77478,2 ],[336.77480,2 ],[336.77482,3 ],[336.77484,3 ],[336.77486,2 ],[336.77488,2 ],[336.77490,2 ],[336.77492,2 ],[336.77494,2 ],[336.77496,2 ],[336.77498,3 ],[336.77500,2 ],[336.77502,3 ],[336.77504,3 ],[336.77506,2 ],[336.77508,2 ],[336.77510,2 ],[336.77512,3 ],[336.77514,3 ],[336.77515,3 ],[336.77517,3 ],[336.77519,3 ],[336.77521,3 ],[336.77523,3 ],[336.77525,3 ],[336.77527,3 ],[336.77529,3 ],[336.77531,3 ],[336.77533,3 ],[336.77535,3 ],[336.77537,3 ],[336.77539,3 ],[336.77541,3 ],[336.77543,3 ],[336.77545,3 ],[336.77547,3 ],[336.77549,3 ],[336.77551,3 ],[336.77553,3 ],[336.77555,3 ],[336.77557,4 ],[336.77558,3 ],[336.77560,3 ],[336.77562,2 ],[336.77564,3 ],[336.77566,3 ],[336.77568,3 ],[336.77570,3 ],[336.77572,3 ],[336.77574,3 ],[336.77576,4 ],[336.77578,4 ],[336.77580,4 ],[336.77582,4 ],[336.77584,3 ],[336.77586,3 ],[336.77588,4 ],[336.77590,4 ],[336.77592,4 ],[336.77594,4 ],[336.77596,4 ],[336.77598,4 ],[336.776,3 ],[336.77601,4 ],[336.77603,4 ],[336.77605,4 ],[336.77607,4 ],[336.77609,4 ],[336.77611,4 ],[336.77613,5 ],[336.77615,4 ],[336.77617,4 ],[336.77619,4 ],[336.77621,5 ],[336.77623,5 ],[336.77625,5 ],[336.77627,4 ],[336.77629,5 ],[336.77631,5 ],[336.77633,5 ],[336.77635,5 ],[336.77637,5 ],[336.77639,5 ],[336.77641,5 ],[336.77642,5 ],[336.77644,5 ],[336.77646,5 ],[336.77648,5 ],[336.77650,5 ],[336.77652,5 ],[336.77654,5 ],[336.77656,5 ],[336.77658,5 ],[336.77660,5 ],[336.77662,5 ],[336.77664,5 ],[336.77666,6 ],[336.77668,5 ],[336.77670,5 ],[336.77672,5 ],[336.77674,6 ],[336.77676,6 ],[336.77678,6 ],[336.77680,6 ],[336.77682,6 ],[336.77684,6 ],[336.77685,6 ],[336.77687,6 ],[336.77689,6 ],[336.77691,6 ],[336.77693,6 ],[336.77695,6 ],[336.77697,7 ],[336.77699,8 ],[336.77701,7 ],[336.77703,7 ],[336.77705,7 ],[336.77707,8 ],[336.77709,7 ],[336.77711,7 ],[336.77713,7 ],[336.77715,7 ],[336.77717,7 ],[336.77719,8 ],[336.77721,7 ],[336.77723,7 ],[336.77725,7 ],[336.77726,8 ],[336.77728,8 ],[336.77730,8 ],[336.77732,9 ],[336.77734,8 ],[336.77736,8 ],[336.77738,8 ],[336.77740,8 ],[336.77742,9 ],[336.77744,9 ],[336.77746,8 ],[336.77748,8 ],[336.77750,8 ],[336.77752,9 ],[336.77754,9 ],[336.77756,9 ],[336.77758,9 ],[336.77760,9 ],[336.77762,9 ],[336.77764,10 ],[336.77766,9 ],[336.77768,9 ],[336.77769,9 ],[336.77771,10 ],[336.77773,10 ],[336.77775,10 ],[336.77777,10 ],[336.77779,10 ],[336.77781,11 ],[336.77783,11 ],[336.77785,10 ],[336.77787,11 ],[336.77789,11 ],[336.77791,11 ],[336.77793,11 ],[336.77795,11 ],[336.77797,12 ],[336.77799,11 ],[336.77801,11 ],[336.77803,12 ],[336.77805,12 ],[336.77807,12 ],[336.77809,12 ],[336.77810,13 ],[336.77812,13 ],[336.77814,13 ],[336.77816,13 ],[336.77818,13 ],[336.77820,13 ],[336.77822,13 ],[336.77824,14 ],[336.77826,14 ],[336.77828,14 ],[336.77830,14 ],[336.77832,14 ],[336.77834,14 ],[336.77836,14 ],[336.77838,14 ],[336.77840,15 ],[336.77842,15 ],[336.77844,15 ],[336.77846,15 ],[336.77848,15 ],[336.77850,15 ],[336.77852,15 ],[336.77853,16 ],[336.77855,16 ],[336.77857,16 ],[336.77859,17 ],[336.77861,17 ],[336.77863,17 ],[336.77865,17 ],[336.77867,17 ],[336.77869,17 ],[336.77871,18 ],[336.77873,18 ],[336.77875,18 ],[336.77877,18 ],[336.77879,18 ],[336.77881,19 ],[336.77883,19 ],[336.77885,19 ],[336.77887,19 ],[336.77889,20 ],[336.77891,20 ],[336.77893,20 ],[336.77894,20 ],[336.77896,21 ],[336.77898,21 ],[336.77900,21 ],[336.77902,21 ],[336.77904,21 ],[336.77906,22 ],[336.77908,22 ],[336.77910,23 ],[336.77912,22 ],[336.77914,23 ],[336.77916,23 ],[336.77918,24 ],[336.77920,24 ],[336.77922,24 ],[336.77924,24 ],[336.77926,24 ],[336.77928,24 ],[336.77930,25 ],[336.77932,26 ],[336.77934,26 ],[336.77936,26 ],[336.77937,27 ],[336.77939,27 ],[336.77941,27 ],[336.77943,28 ],[336.77945,28 ],[336.77947,28 ],[336.77949,28 ],[336.77951,29 ],[336.77953,29 ],[336.77955,30 ],[336.77957,30 ],[336.77959,30 ],[336.77961,31 ],[336.77963,31 ],[336.77965,32 ],[336.77967,33 ],[336.77969,33 ],[336.77971,33 ],[336.77973,34 ],[336.77975,34 ],[336.77977,34 ],[336.77978,35 ],[336.77980,35 ],[336.77982,36 ],[336.77984,37 ],[336.77986,37 ],[336.77988,37 ],[336.77990,38 ],[336.77992,39 ],[336.77994,40 ],[336.77996,39 ],[336.77998,40 ],[336.78000,41 ],[336.78002,41 ],[336.78004,41 ],[336.78006,42 ],[336.78008,43 ],[336.78010,43 ],[336.78012,44 ],[336.78014,45 ],[336.78016,46 ],[336.78018,46 ],[336.78020,47 ],[336.78021,47 ],[336.78023,48 ],[336.78025,49 ],[336.78027,49 ],[336.78029,50 ],[336.78031,51 ],[336.78033,51 ],[336.78035,52 ],[336.78037,53 ],[336.78039,54 ],[336.78041,55 ],[336.78043,56 ],[336.78045,56 ],[336.78047,57 ],[336.78049,58 ],[336.78051,58 ],[336.78053,60 ],[336.78055,61 ],[336.78057,61 ],[336.78059,62 ],[336.78061,64 ],[336.78063,64 ],[336.78064,65 ],[336.78066,66 ],[336.78068,67 ],[336.78070,68 ],[336.78072,69 ],[336.78074,70 ],[336.78076,71 ],[336.78078,73 ],[336.78080,73 ],[336.78082,74 ],[336.78084,76 ],[336.78086,77 ],[336.78088,78 ],[336.78090,79 ],[336.78092,81 ],[336.78094,82 ],[336.78096,83 ],[336.78098,84 ],[336.78100,85 ],[336.78102,86 ],[336.78104,88 ],[336.78105,89 ],[336.78107,91 ],[336.78109,92 ],[336.78111,93 ],[336.78113,95 ],[336.78115,96 ],[336.78117,97 ],[336.78119,99 ],[336.78121,100 ],[336.78123,102 ],[336.78125,103 ],[336.78127,105 ],[336.78129,107 ],[336.78131,108 ],[336.78133,109 ],[336.78135,111 ],[336.78137,113 ],[336.78139,114 ],[336.78141,116 ],[336.78143,119 ],[336.78145,120 ],[336.78147,122 ],[336.78148,124 ],[336.78150,126 ],[336.78152,128 ],[336.78154,129 ],[336.78156,132 ],[336.78158,134 ],[336.78160,136 ],[336.78162,137 ],[336.78164,140 ],[336.78166,142 ],[336.78168,144 ],[336.78170,146 ],[336.78172,148 ],[336.78174,151 ],[336.78176,153 ],[336.78178,155 ],[336.78180,158 ],[336.78182,161 ],[336.78184,164 ],[336.78186,166 ],[336.78188,168 ],[336.78189,170 ],[336.78191,174 ],[336.78193,176 ],[336.78195,179 ],[336.78197,182 ],[336.78199,184 ],[336.78201,187 ],[336.78203,190 ],[336.78205,193 ],[336.78207,197 ],[336.78209,200 ],[336.78211,204 ],[336.78213,206 ],[336.78215,210 ],[336.78217,213 ],[336.78219,217 ],[336.78221,221 ],[336.78223,224 ],[336.78225,229 ],[336.78227,233 ],[336.78229,235 ],[336.78231,240 ],[336.78232,244 ],[336.78234,248 ],[336.78236,253 ],[336.78238,257 ],[336.78240,261 ],[336.78242,267 ],[336.78244,271 ],[336.78246,276 ],[336.78248,281 ],[336.78250,286 ],[336.78252,291 ],[336.78254,296 ],[336.78256,302 ],[336.78258,307 ],[336.78260,314 ],[336.78262,319 ],[336.78264,324 ],[336.78266,331 ],[336.78268,337 ],[336.78270,344 ],[336.78272,350 ],[336.78273,357 ],[336.78275,364 ],[336.78277,370 ],[336.78279,377 ],[336.78281,386 ],[336.78283,395 ],[336.78285,402 ],[336.78287,409 ],[336.78289,417 ],[336.78291,425 ],[336.78293,434 ],[336.78295,443 ],[336.78297,453 ],[336.78299,461 ],[336.78301,470 ],[336.78303,480 ],[336.78305,491 ],[336.78307,500 ],[336.78309,510 ],[336.78311,521 ],[336.78313,534 ],[336.78315,543 ],[336.78316,555 ],[336.78318,566 ],[336.78320,579 ],[336.78322,591 ],[336.78324,604 ],[336.78326,617 ],[336.78328,629 ],[336.78330,642 ],[336.78332,655 ],[336.78334,671 ],[336.78336,683 ],[336.78338,698 ],[336.78340,713 ],[336.78342,727 ],[336.78344,743 ],[336.78346,760 ],[336.78348,773 ],[336.78350,790 ],[336.78352,809 ],[336.78354,827 ],[336.78356,842 ],[336.78357,860 ],[336.78359,878 ],[336.78361,895 ],[336.78363,912 ],[336.78365,933 ],[336.78367,951 ],[336.78369,972 ],[336.78371,993 ],[336.78373,1010 ],[336.78375,1030 ],[336.78377,1052 ],[336.78379,1073 ],[336.78381,1093 ],[336.78383,1113 ],[336.78385,1133 ],[336.78387,1156 ],[336.78389,1181 ],[336.78391,1202 ],[336.78393,1225 ],[336.78395,1246 ],[336.78397,1267 ],[336.78399,1286 ],[336.78400,1312 ],[336.78402,1335 ],[336.78404,1356 ],[336.78406,1379 ],[336.78408,1401 ],[336.78410,1424 ],[336.78412,1448 ],[336.78414,1470 ],[336.78416,1490 ],[336.78418,1511 ],[336.78420,1535 ],[336.78422,1557 ],[336.78424,1574 ],[336.78426,1595 ],[336.78428,1617 ],[336.78430,1638 ],[336.78432,1656 ],[336.78434,1675 ],[336.78436,1693 ],[336.78438,1709 ],[336.78440,1724 ],[336.78442,1738 ],[336.78443,1754 ],[336.78445,1770 ],[336.78447,1782 ],[336.78449,1793 ],[336.78451,1803 ],[336.78453,1813 ],[336.78455,1821 ],[336.78457,1828 ],[336.78459,1833 ],[336.78461,1837 ],[336.78463,1839 ],[336.78465,1840 ],[336.78467,1840 ],[336.78469,1837 ],[336.78471,1832 ],[336.78473,1827 ],[336.78475,1817 ],[336.78477,1809 ],[336.78479,1799 ],[336.78481,1786 ],[336.78483,1768 ],[336.78484,1749 ],[336.78486,1728 ],[336.78488,1704 ],[336.78490,1683 ],[336.78492,1660 ],[336.78494,1631 ],[336.78496,1596 ],[336.78498,1564 ],[336.78500,1523 ],[336.78502,1492 ],[336.78504,1470 ],[336.78506,1413 ],[336.78508,1374 ],[336.78510,1318 ],[336.78512,1279 ],[336.78514,1235 ],[336.78516,1171 ],[336.78518,1126 ],[336.78520,1078 ],[336.78522,1014 ],[336.78524,953 ],[336.78526,904 ],[336.78527,846 ],[336.78529,785 ],[336.78531,711 ],[336.78533,659 ],[336.78535,588 ],[336.78537,515 ],[336.78539,441 ],[336.78541,381 ],[336.78543,311 ],[336.78545,242 ],[336.78547,174 ],[336.78549,107 ],[336.78551,42 ],[336.78553,-15 ],[336.78555,-87 ],[336.78557,-152 ],[336.78559,-214 ],[336.78561,-280 ],[336.78563,-339 ],[336.78565,-401 ],[336.78567,-470 ],[336.78568,-533 ],[336.78570,-596 ],[336.78572,-649 ],[336.78574,-701 ],[336.78576,-762 ],[336.78578,-814 ],[336.78580,-861 ],[336.78582,-915 ],[336.78584,-963 ],[336.78586,-1012 ],[336.78588,-1054 ],[336.78590,-1099 ],[336.78592,-1140 ],[336.78594,-1178 ],[336.78596,-1216 ],[336.78598,-1244 ],[336.78600,-1281 ],[336.78602,-1313 ],[336.78604,-1344 ],[336.78606,-1367 ],[336.78608,-1394 ],[336.78610,-1417 ],[336.78611,-1442 ],[336.78613,-1460 ],[336.78615,-1476 ],[336.78617,-1490 ],[336.78619,-1506 ],[336.78621,-1516 ],[336.78623,-1529 ],[336.78625,-1538 ],[336.78627,-1545 ],[336.78629,-1551 ],[336.78631,-1555 ],[336.78633,-1559 ],[336.78635,-1560 ],[336.78637,-1560 ],[336.78639,-1559 ],[336.78641,-1557 ],[336.78643,-1554 ],[336.78645,-1551 ],[336.78647,-1545 ],[336.78649,-1539 ],[336.78651,-1531 ],[336.78652,-1521 ],[336.78654,-1513 ],[336.78656,-1502 ],[336.78658,-1491 ],[336.78660,-1479 ],[336.78662,-1469 ],[336.78664,-1457 ],[336.78666,-1443 ],[336.78668,-1425 ],[336.78670,-1410 ],[336.78672,-1397 ],[336.78674,-1381 ],[336.78676,-1368 ],[336.78678,-1351 ],[336.78680,-1336 ],[336.78682,-1319 ],[336.78684,-1302 ],[336.78686,-1286 ],[336.78688,-1268 ],[336.78690,-1250 ],[336.78692,-1235 ],[336.78694,-1220 ],[336.78695,-1201 ],[336.78697,-1181 ],[336.78699,-1167 ],[336.78701,-1152 ],[336.78703,-1137 ],[336.78705,-1119 ],[336.78707,-1101 ],[336.78709,-1079 ],[336.78711,-1064 ],[336.78713,-1050 ],[336.78715,-1033 ],[336.78717,-1013 ],[336.78719,-998 ],[336.78721,-981 ],[336.78723,-968 ],[336.78725,-952 ],[336.78727,-931 ],[336.78729,-914 ],[336.78731,-900 ],[336.78733,-887 ],[336.78735,-873 ],[336.78736,-857 ],[336.78738,-841 ],[336.78740,-830 ],[336.78742,-815 ],[336.78744,-798 ],[336.78746,-782 ],[336.78748,-772 ],[336.78750,-758 ],[336.78752,-747 ],[336.78754,-735 ],[336.78756,-721 ],[336.78758,-708 ],[336.78760,-695 ],[336.78762,-682 ],[336.78764,-672 ],[336.78766,-659 ],[336.78768,-649 ],[336.78770,-637 ],[336.78772,-626 ],[336.78774,-615 ],[336.78776,-604 ],[336.78778,-594 ],[336.78779,-584 ],[336.78781,-574 ],[336.78783,-563 ],[336.78785,-555 ],[336.78787,-545 ],[336.78789,-534 ],[336.78791,-527 ],[336.78793,-518 ],[336.78795,-507 ],[336.78797,-501 ],[336.78799,-491 ],[336.78801,-484 ],[336.78803,-476 ],[336.78805,-468 ],[336.78807,-461 ],[336.78809,-452 ],[336.78811,-445 ],[336.78813,-437 ],[336.78815,-431 ],[336.78817,-425 ],[336.78819,-417 ],[336.78821,-410 ],[336.78822,-404 ],[336.78824,-397 ],[336.78826,-392 ],[336.78828,-385 ],[336.78830,-379 ],[336.78832,-373 ],[336.78834,-368 ],[336.78836,-361 ],[336.78838,-356 ],[336.78840,-351 ],[336.78842,-345 ],[336.78844,-340 ],[336.78846,-335 ],[336.78848,-330 ],[336.78850,-324 ],[336.78852,-320 ],[336.78854,-316 ],[336.78856,-311 ],[336.78858,-308 ],[336.78860,-303 ],[336.78862,-299 ],[336.78863,-294 ],[336.78865,-290 ],[336.78867,-286 ],[336.78869,-282 ],[336.78871,-278 ],[336.78873,-275 ],[336.78875,-271 ],[336.78877,-266 ],[336.78879,-263 ],[336.78881,-260 ],[336.78883,-257 ],[336.78885,-253 ],[336.78887,-248 ],[336.78889,-245 ],[336.78891,-244 ],[336.78893,-240 ],[336.78895,-237 ],[336.78897,-233 ],[336.78899,-231 ],[336.78901,-228 ],[336.78903,-224 ],[336.78905,-221 ],[336.78906,-219 ],[336.78908,-216 ],[336.78910,-213 ],[336.78912,-211 ],[336.78914,-208 ],[336.78916,-205 ],[336.78918,-203 ],[336.78920,-201 ],[336.78922,-199 ],[336.78924,-196 ],[336.78926,-193 ],[336.78928,-191 ],[336.78930,-188 ],[336.78932,-186 ],[336.78934,-185 ],[336.78936,-182 ],[336.78938,-180 ],[336.78940,-178 ],[336.78942,-176 ],[336.78944,-174 ],[336.78946,-172 ],[336.78947,-170 ],[336.78949,-168 ],[336.78951,-166 ],[336.78953,-164 ],[336.78955,-162 ],[336.78957,-160 ],[336.78959,-158 ],[336.78961,-157 ],[336.78963,-155 ],[336.78965,-153 ],[336.78967,-152 ],[336.78969,-150 ],[336.78971,-148 ],[336.78973,-147 ],[336.78975,-145 ],[336.78977,-143 ],[336.78979,-141 ],[336.78981,-140 ],[336.78983,-138 ],[336.78985,-137 ],[336.78987,-135 ],[336.78989,-134 ],[336.78990,-132 ],[336.78992,-131 ],[336.78994,-129 ],[336.78996,-128 ],[336.78998,-126 ],[336.79000,-125 ],[336.79002,-123 ],[336.79004,-122 ],[336.79006,-121 ],[336.79008,-119 ],[336.79010,-118 ],[336.79012,-117 ],[336.79014,-115 ],[336.79016,-114 ],[336.79018,-113 ],[336.79020,-111 ],[336.79022,-109 ],[336.79024,-108 ],[336.79026,-107 ],[336.79028,-107 ],[336.79030,-105 ],[336.79031,-103 ],[336.79033,-103 ],[336.79035,-101 ],[336.79037,-100 ],[336.79039,-99 ],[336.79041,-97 ],[336.79043,-97 ],[336.79045,-96 ],[336.79047,-94 ],[336.79049,-93 ],[336.79051,-92 ],[336.79053,-90 ],[336.79055,-90 ],[336.79057,-88 ],[336.79059,-87 ],[336.79061,-86 ],[336.79063,-85 ],[336.79065,-84 ],[336.79067,-84 ],[336.79069,-83 ],[336.79071,-81 ],[336.79073,-80 ],[336.79074,-79 ],[336.79076,-78 ],[336.79078,-77 ],[336.79080,-76 ],[336.79082,-75 ],[336.79084,-74 ],[336.79086,-73 ],[336.79088,-72 ],[336.79090,-71 ],[336.79092,-70 ],[336.79094,-69 ],[336.79096,-69 ],[336.79098,-68 ],[336.79100,-67 ],[336.79102,-66 ],[336.79104,-65 ],[336.79106,-64 ],[336.79108,-63 ],[336.79110,-63 ],[336.79112,-62 ],[336.79114,-61 ],[336.79115,-59 ],[336.79117,-59 ],[336.79119,-58 ],[336.79121,-57 ],[336.79123,-56 ],[336.79125,-55 ],[336.79127,-55 ],[336.79129,-54 ],[336.79131,-53 ],[336.79133,-52 ],[336.79135,-51 ],[336.79137,-50 ],[336.79139,-49 ],[336.79141,-49 ],[336.79143,-48 ],[336.79145,-48 ],[336.79147,-47 ],[336.79149,-46 ],[336.79151,-45 ],[336.79153,-45 ],[336.79155,-44 ],[336.79157,-43 ],[336.79158,-42 ],[336.79160,-41 ],[336.79162,-41 ],[336.79164,-40 ],[336.79166,-40 ],[336.79168,-39 ],[336.79170,-38 ],[336.79172,-37 ],[336.79174,-37 ],[336.79176,-36 ],[336.79178,-35 ],[336.79180,-35 ],[336.79182,-34 ],[336.79184,-33 ],[336.79186,-32 ],[336.79188,-32 ],[336.79190,-32 ],[336.79192,-31 ],[336.79194,-30 ],[336.79196,-30 ],[336.79198,-29 ],[336.792,-28 ],[336.79201,-28 ],[336.79203,-27 ],[336.79205,-26 ],[336.79207,-26 ],[336.79209,-26 ],[336.79211,-25 ],[336.79213,-24 ],[336.79215,-23 ],[336.79217,-22 ],[336.79219,-22 ],[336.79221,-21 ],[336.79223,-20 ],[336.79225,-20 ],[336.79227,-19 ],[336.79229,-18 ],[336.79231,-18 ],[336.79233,-18 ],[336.79235,-17 ],[336.79237,-16 ],[336.79239,-16 ],[336.79241,-15 ],[336.79242,-14 ],[336.79244,-14 ],[336.79246,-13 ],[336.79248,-13 ],[336.79250,-12 ],[336.79252,-11 ],[336.79254,-11 ],[336.79256,-11 ],[336.79258,-10 ],[336.79260,-9 ],[336.79262,-8 ],[336.79264,-8 ],[336.79266,-7 ],[336.79268,-7 ],[336.79270,-6 ],[336.79272,-5 ],[336.79274,-5 ],[336.79276,-4 ],[336.79278,-4 ],[336.79280,-3 ],[336.79282,-2 ],[336.79284,-1 ],[336.79285,-1 ],[336.79287,0 ],[336.79289,1 ],[336.79291,1 ],[336.79293,2 ],[336.79295,3 ],[336.79297,3 ],[336.79299,4 ],[336.79301,5 ],[336.79303,4 ],[336.79305,6 ],[336.79307,6 ],[336.79309,7 ],[336.79311,8 ],[336.79313,9 ],[336.79315,9 ],[336.79317,10 ],[336.79319,11 ],[336.79321,12 ],[336.79323,12 ],[336.79325,13 ],[336.79326,14 ],[336.79328,15 ],[336.79330,15 ],[336.79332,16 ],[336.79334,17 ],[336.79336,17 ],[336.79338,18 ],[336.79340,19 ],[336.79342,20 ],[336.79344,20 ],[336.79346,21 ],[336.79348,22 ],[336.79350,22 ],[336.79352,23 ],[336.79354,25 ],[336.79356,25 ],[336.79358,26 ],[336.79360,27 ],[336.79362,28 ],[336.79364,28 ],[336.79366,29 ],[336.79368,30 ],[336.79369,31 ],[336.79371,32 ],[336.79373,33 ],[336.79375,34 ],[336.79377,35 ],[336.79379,36 ],[336.79381,37 ],[336.79383,38 ],[336.79385,39 ],[336.79387,39 ],[336.79389,40 ],[336.79391,42 ],[336.79393,43 ],[336.79395,44 ],[336.79397,45 ],[336.79399,45 ],[336.79401,47 ],[336.79403,48 ],[336.79405,48 ],[336.79407,49 ],[336.79409,51 ],[336.79410,52 ],[336.79412,53 ],[336.79414,55 ],[336.79416,56 ],[336.79418,57 ],[336.79420,58 ],[336.79422,60 ],[336.79424,61 ],[336.79426,63 ],[336.79428,63 ],[336.79430,65 ],[336.79432,66 ],[336.79434,67 ],[336.79436,69 ],[336.79438,70 ],[336.79440,71 ],[336.79442,73 ],[336.79444,74 ],[336.79446,75 ],[336.79448,77 ],[336.79450,78 ],[336.79452,80 ],[336.79453,81 ],[336.79455,83 ],[336.79457,84 ],[336.79459,86 ],[336.79461,87 ],[336.79463,89 ],[336.79465,91 ],[336.79467,92 ],[336.79469,93 ],[336.79471,96 ],[336.79473,97 ],[336.79475,99 ],[336.79477,101 ],[336.79479,103 ],[336.79481,105 ],[336.79483,106 ],[336.79485,108 ],[336.79487,110 ],[336.79489,112 ],[336.79491,114 ],[336.79493,116 ],[336.79494,118 ],[336.79496,119 ],[336.79498,121 ],[336.79500,123 ],[336.79502,126 ],[336.79504,128 ],[336.79506,130 ],[336.79508,132 ],[336.79510,134 ],[336.79512,136 ],[336.79514,139 ],[336.79516,141 ],[336.79518,143 ],[336.79520,145 ],[336.79522,147 ],[336.79524,150 ],[336.79526,152 ],[336.79528,156 ],[336.79530,158 ],[336.79532,161 ],[336.79534,164 ],[336.79536,166 ],[336.79537,169 ],[336.79539,172 ],[336.79541,174 ],[336.79543,177 ],[336.79545,180 ],[336.79547,182 ],[336.79549,187 ],[336.79551,189 ],[336.79553,193 ],[336.79555,197 ],[336.79557,200 ],[336.79559,203 ],[336.79561,206 ],[336.79563,210 ],[336.79565,213 ],[336.79567,216 ],[336.79569,220 ],[336.79571,223 ],[336.79573,228 ],[336.79575,231 ],[336.79577,236 ],[336.79578,239 ],[336.79580,243 ],[336.79582,248 ],[336.79584,251 ],[336.79586,256 ],[336.79588,261 ],[336.79590,265 ],[336.79592,270 ],[336.79594,275 ],[336.79596,281 ],[336.79598,284 ],[336.79600,289 ],[336.79602,294 ],[336.79604,300 ],[336.79606,305 ],[336.79608,311 ],[336.79610,317 ],[336.79612,323 ],[336.79614,328 ],[336.79616,335 ],[336.79618,341 ],[336.79620,346 ],[336.79621,353 ],[336.79623,359 ],[336.79625,367 ],[336.79627,375 ],[336.79629,380 ],[336.79631,389 ],[336.79633,396 ],[336.79635,402 ],[336.79637,409 ],[336.79639,418 ],[336.79641,426 ],[336.79643,436 ],[336.79645,446 ],[336.79647,452 ],[336.79649,461 ],[336.79651,471 ],[336.79653,480 ],[336.79655,490 ],[336.79657,499 ],[336.79659,510 ],[336.79661,522 ],[336.79663,530 ],[336.79664,542 ],[336.79666,554 ],[336.79668,567 ],[336.79670,577 ],[336.79672,587 ],[336.79674,598 ],[336.79676,609 ],[336.79678,622 ],[336.79680,638 ],[336.79682,651 ],[336.79684,665 ],[336.79686,675 ],[336.79688,690 ],[336.79690,705 ],[336.79692,719 ],[336.79694,733 ],[336.79696,751 ],[336.79698,763 ],[336.79700,781 ],[336.79702,797 ],[336.79704,814 ],[336.79705,828 ],[336.79707,846 ],[336.79709,866 ],[336.79711,881 ],[336.79713,895 ],[336.79715,914 ],[336.79717,934 ],[336.79719,954 ],[336.79721,972 ],[336.79723,986 ],[336.79725,1007 ],[336.79727,1031 ],[336.79729,1046 ],[336.79731,1070 ],[336.79733,1089 ],[336.79735,1107 ],[336.79737,1134 ],[336.79739,1149 ],[336.79741,1174 ],[336.79743,1192 ],[336.79745,1216 ],[336.79747,1236 ],[336.79748,1255 ],[336.79750,1282 ],[336.79752,1301 ],[336.79754,1319 ],[336.79756,1343 ],[336.79758,1364 ],[336.79760,1388 ],[336.79762,1410 ],[336.79764,1430 ],[336.79766,1449 ],[336.79768,1472 ],[336.79770,1492 ],[336.79772,1514 ],[336.79774,1535 ],[336.79776,1556 ],[336.79778,1574 ],[336.79780,1591 ],[336.79782,1613 ],[336.79784,1628 ],[336.79786,1645 ],[336.79788,1661 ],[336.79789,1679 ],[336.79791,1693 ],[336.79793,1708 ],[336.79795,1722 ],[336.79797,1735 ],[336.79799,1746 ],[336.79801,1757 ],[336.79803,1765 ],[336.79805,1773 ],[336.79807,1781 ],[336.79809,1786 ],[336.79811,1790 ],[336.79813,1793 ],[336.79815,1793 ],[336.79817,1793 ],[336.79819,1791 ],[336.79821,1788 ],[336.79823,1782 ],[336.79825,1773 ],[336.79827,1765 ],[336.79829,1752 ],[336.79831,1738 ],[336.79832,1724 ],[336.79834,1709 ],[336.79836,1690 ],[336.79838,1667 ],[336.79840,1643 ],[336.79842,1619 ],[336.79844,1585 ],[336.79846,1561 ],[336.79848,1520 ],[336.79850,1490 ],[336.79852,1460 ],[336.79854,1420 ],[336.79856,1377 ],[336.79858,1324 ],[336.79860,1285 ],[336.79862,1241 ],[336.79864,1181 ],[336.79866,1123 ],[336.79868,1081 ],[336.79870,1018 ],[336.79872,967 ],[336.79873,904 ],[336.79875,849 ],[336.79877,784 ],[336.79879,724 ],[336.79881,661 ],[336.79883,589 ],[336.79885,530 ],[336.79887,454 ],[336.79889,391 ],[336.79891,326 ],[336.79893,254 ],[336.79895,182 ],[336.79897,104 ],[336.79899,41 ],[336.79901,-25 ],[336.79903,-110 ],[336.79905,-177 ],[336.79907,-228 ],[336.79909,-301 ],[336.79911,-374 ],[336.79913,-440 ],[336.79915,-501 ],[336.79916,-579 ],[336.79918,-625 ],[336.79920,-701 ],[336.79922,-757 ],[336.79924,-811 ],[336.79926,-875 ],[336.79928,-919 ],[336.79930,-986 ],[336.79932,-1040 ],[336.79934,-1091 ],[336.79936,-1134 ],[336.79938,-1178 ],[336.79940,-1229 ],[336.79942,-1274 ],[336.79944,-1315 ],[336.79946,-1355 ],[336.79948,-1388 ],[336.79950,-1422 ],[336.79952,-1450 ],[336.79954,-1477 ],[336.79956,-1505 ],[336.79957,-1529 ],[336.79959,-1551 ],[336.79961,-1574 ],[336.79963,-1592 ],[336.79965,-1610 ],[336.79967,-1626 ],[336.79969,-1641 ],[336.79971,-1652 ],[336.79973,-1661 ],[336.79975,-1668 ],[336.79977,-1675 ],[336.79979,-1680 ],[336.79981,-1682 ],[336.79983,-1683 ],[336.79985,-1683 ],[336.79987,-1682 ],[336.79989,-1679 ],[336.79991,-1675 ],[336.79993,-1669 ],[336.79995,-1662 ],[336.79997,-1655 ],[336.79999,-1645 ],[336.80000,-1637 ],[336.80002,-1626 ],[336.80004,-1615 ],[336.80006,-1601 ],[336.80008,-1588 ],[336.80010,-1575 ],[336.80012,-1561 ],[336.80014,-1547 ],[336.80016,-1530 ],[336.80018,-1512 ],[336.80020,-1496 ],[336.80022,-1480 ],[336.80024,-1461 ],[336.80026,-1442 ],[336.80028,-1425 ],[336.80030,-1405 ],[336.80032,-1387 ],[336.80034,-1369 ],[336.80036,-1349 ],[336.80038,-1332 ],[336.80040,-1310 ],[336.80042,-1291 ],[336.80043,-1272 ],[336.80045,-1252 ],[336.80047,-1232 ],[336.80049,-1212 ],[336.80051,-1193 ],[336.80053,-1176 ],[336.80055,-1154 ],[336.80057,-1139 ],[336.80059,-1120 ],[336.80061,-1099 ],[336.80063,-1079 ],[336.80065,-1063 ],[336.80067,-1046 ],[336.80069,-1024 ],[336.80071,-1006 ],[336.80073,-987 ],[336.80075,-975 ],[336.80077,-957 ],[336.80079,-939 ],[336.80081,-921 ],[336.80083,-902 ],[336.80084,-888 ],[336.80086,-872 ],[336.80088,-857 ],[336.80090,-840 ],[336.80092,-821 ],[336.80094,-809 ],[336.80096,-798 ],[336.80098,-783 ],[336.80100,-768 ],[336.80102,-754 ],[336.80104,-739 ],[336.80106,-724 ],[336.80108,-713 ],[336.80110,-698 ],[336.80112,-685 ],[336.80114,-674 ],[336.80116,-661 ],[336.80118,-650 ],[336.80120,-637 ],[336.80122,-624 ],[336.80124,-614 ],[336.80126,-603 ],[336.80127,-592 ],[336.80129,-581 ],[336.80131,-571 ],[336.80133,-562 ],[336.80135,-552 ],[336.80137,-540 ],[336.80139,-530 ],[336.80141,-520 ],[336.80143,-511 ],[336.80145,-504 ],[336.80147,-495 ],[336.80149,-485 ],[336.80151,-475 ],[336.80153,-469 ],[336.80155,-461 ],[336.80157,-452 ],[336.80159,-445 ],[336.80161,-437 ],[336.80163,-430 ],[336.80165,-423 ],[336.80167,-415 ],[336.80168,-409 ],[336.80170,-401 ],[336.80172,-395 ],[336.80174,-388 ],[336.80176,-383 ],[336.80178,-376 ],[336.80180,-369 ],[336.80182,-364 ],[336.80184,-358 ],[336.80186,-352 ],[336.80188,-346 ],[336.80190,-341 ],[336.80192,-336 ],[336.80194,-330 ],[336.80196,-325 ],[336.80198,-320 ],[336.80200,-316 ],[336.80202,-310 ],[336.80204,-305 ],[336.80206,-301 ],[336.80208,-297 ],[336.80210,-291 ],[336.80211,-287 ],[336.80213,-283 ],[336.80215,-279 ],[336.80217,-275 ],[336.80219,-270 ],[336.80221,-266 ],[336.80223,-263 ],[336.80225,-259 ],[336.80227,-255 ],[336.80229,-251 ],[336.80231,-248 ],[336.80233,-245 ],[336.80235,-241 ],[336.80237,-237 ],[336.80239,-234 ],[336.80241,-230 ],[336.80243,-228 ],[336.80245,-224 ],[336.80247,-221 ],[336.80249,-217 ],[336.80251,-215 ],[336.80252,-213 ],[336.80254,-210 ],[336.80256,-206 ],[336.80258,-203 ],[336.80260,-201 ],[336.80262,-198 ],[336.80264,-195 ],[336.80266,-193 ],[336.80268,-190 ],[336.80270,-187 ],[336.80272,-184 ],[336.80274,-182 ],[336.80276,-179 ],[336.80278,-177 ],[336.80280,-174 ],[336.80282,-172 ],[336.80284,-169 ],[336.80286,-168 ],[336.80288,-165 ],[336.80290,-163 ],[336.80292,-161 ],[336.80294,-159 ],[336.80295,-156 ],[336.80297,-154 ],[336.80299,-152 ],[336.80301,-149 ],[336.80303,-148 ],[336.80305,-146 ],[336.80307,-144 ],[336.80309,-142 ],[336.80311,-141 ],[336.80313,-138 ],[336.80315,-137 ],[336.80317,-135 ],[336.80319,-133 ],[336.80321,-131 ],[336.80323,-129 ],[336.80325,-127 ],[336.80327,-125 ],[336.80329,-123 ],[336.80331,-121 ],[336.80333,-119 ],[336.80335,-119 ],[336.80336,-117 ],[336.80338,-115 ],[336.80340,-114 ],[336.80342,-112 ],[336.80344,-110 ],[336.80346,-109 ],[336.80348,-107 ],[336.80350,-105 ],[336.80352,-105 ],[336.80354,-103 ],[336.80356,-101 ],[336.80358,-100 ],[336.80360,-98 ],[336.80362,-97 ],[336.80364,-96 ],[336.80366,-94 ],[336.80368,-93 ],[336.80370,-92 ],[336.80372,-90 ],[336.80374,-89 ],[336.80376,-88 ],[336.80378,-86 ],[336.80379,-85 ],[336.80381,-84 ],[336.80383,-82 ],[336.80385,-81 ],[336.80387,-80 ],[336.80389,-79 ],[336.80391,-78 ],[336.80393,-77 ],[336.80395,-76 ],[336.80397,-74 ],[336.80399,-73 ],[336.80401,-72 ],[336.80403,-71 ],[336.80405,-70 ],[336.80407,-69 ],[336.80409,-68 ],[336.80411,-66 ],[336.80413,-66 ],[336.80415,-65 ],[336.80417,-64 ],[336.80419,-63 ],[336.80421,-62 ],[336.80422,-61 ],[336.80424,-60 ],[336.80426,-59 ],[336.80428,-58 ],[336.80430,-57 ],[336.80432,-56 ],[336.80434,-55 ],[336.80436,-54 ],[336.80438,-53 ],[336.80440,-53 ],[336.80442,-51 ],[336.80444,-50 ],[336.80446,-50 ],[336.80448,-49 ],[336.80450,-48 ],[336.80452,-47 ],[336.80454,-46 ],[336.80456,-46 ],[336.80458,-45 ],[336.80460,-44 ],[336.80462,-44 ],[336.80463,-42 ],[336.80465,-41 ],[336.80467,-41 ],[336.80469,-40 ],[336.80471,-39 ],[336.80473,-38 ],[336.80475,-37 ],[336.80477,-37 ],[336.80479,-36 ],[336.80481,-36 ],[336.80483,-34 ],[336.80485,-34 ],[336.80487,-34 ],[336.80489,-32 ],[336.80491,-32 ],[336.80493,-31 ],[336.80495,-31 ],[336.80497,-30 ],[336.80499,-29 ],[336.80501,-28 ],[336.80503,-27 ],[336.80505,-27 ],[336.80506,-26 ],[336.80508,-25 ],[336.80510,-25 ],[336.80512,-24 ],[336.80514,-24 ],[336.80516,-23 ],[336.80518,-22 ],[336.80520,-22 ],[336.80522,-21 ],[336.80524,-21 ],[336.80526,-19 ],[336.80528,-19 ],[336.80530,-18 ],[336.80532,-18 ],[336.80534,-18 ],[336.80536,-17 ],[336.80538,-17 ],[336.80540,-15 ],[336.80542,-15 ],[336.80544,-14 ],[336.80546,-13 ],[336.80547,-12 ],[336.80549,-13 ],[336.80551,-11 ],[336.80553,-11 ],[336.80555,-10 ],[336.80557,-10 ],[336.80559,-9 ],[336.80561,-8 ],[336.80563,-8 ],[336.80565,-8 ],[336.80567,-7 ],[336.80569,-6 ],[336.80571,-6 ],[336.80573,-5 ],[336.80575,-4 ],[336.80577,-4 ],[336.80579,-3 ],[336.80581,-2 ],[336.80583,-2 ],[336.80585,-1 ],[336.80587,0 ],[336.80589,1 ],[336.80590,1 ],[336.80592,2 ],[336.80594,2 ],[336.80596,3 ],[336.80598,4 ],[336.80600,4 ],[336.80602,5 ],[336.80604,6 ],[336.80606,6 ],[336.80608,7 ],[336.80610,8 ],[336.80612,8 ],[336.80614,9 ],[336.80616,9 ],[336.80618,10 ],[336.80620,11 ],[336.80622,12 ],[336.80624,13 ],[336.80626,13 ],[336.80628,14 ],[336.80630,14 ],[336.80631,15 ],[336.80633,16 ],[336.80635,17 ],[336.80637,17 ],[336.80639,18 ],[336.80641,18 ],[336.80643,19 ],[336.80645,20 ],[336.80647,21 ],[336.80649,22 ],[336.80651,22 ],[336.80653,23 ],[336.80655,24 ],[336.80657,24 ],[336.80659,25 ],[336.80661,26 ],[336.80663,27 ],[336.80665,28 ],[336.80667,28 ],[336.80669,29 ],[336.80671,30 ],[336.80673,31 ],[336.80674,31 ],[336.80676,32 ],[336.80678,33 ],[336.80680,34 ],[336.80682,35 ],[336.80684,36 ],[336.80686,36 ],[336.80688,37 ],[336.80690,38 ],[336.80692,39 ],[336.80694,40 ],[336.80696,41 ],[336.80698,42 ],[336.80700,42 ],[336.80702,43 ],[336.80704,45 ],[336.80706,45 ],[336.80708,46 ],[336.80710,47 ],[336.80712,48 ],[336.80714,49 ],[336.80715,50 ],[336.80717,51 ],[336.80719,52 ],[336.80721,53 ],[336.80723,53 ],[336.80725,55 ],[336.80727,55 ],[336.80729,57 ],[336.80731,58 ],[336.80733,58 ],[336.80735,60 ],[336.80737,60 ],[336.80739,62 ],[336.80741,63 ],[336.80743,64 ],[336.80745,65 ],[336.80747,66 ],[336.80749,67 ],[336.80751,68 ],[336.80753,69 ],[336.80755,70 ],[336.80757,71 ],[336.80758,73 ],[336.80760,74 ],[336.80762,75 ],[336.80764,76 ],[336.80766,78 ],[336.80768,79 ],[336.80770,80 ],[336.80772,81 ],[336.80774,82 ],[336.80776,84 ],[336.80778,85 ],[336.80780,86 ],[336.80782,88 ],[336.80784,89 ],[336.80786,90 ],[336.80788,91 ],[336.80790,93 ],[336.80792,94 ],[336.80794,95 ],[336.80796,97 ],[336.80798,98 ],[336.808,100 ],[336.80801,101 ],[336.80803,102 ],[336.80805,104 ],[336.80807,106 ],[336.80809,107 ],[336.80811,109 ],[336.80813,110 ],[336.80815,111 ],[336.80817,112 ],[336.80819,114 ],[336.80821,116 ],[336.80823,118 ],[336.80825,120 ],[336.80827,121 ],[336.80829,123 ],[336.80831,125 ],[336.80833,126 ],[336.80835,128 ],[336.80837,130 ],[336.80839,131 ],[336.80841,132 ],[336.80842,135 ],[336.80844,137 ],[336.80846,138 ],[336.80848,140 ],[336.80850,142 ],[336.80852,144 ],[336.80854,146 ],[336.80856,148 ],[336.80858,151 ],[336.80860,153 ],[336.80862,154 ],[336.80864,157 ],[336.80866,159 ],[336.80868,161 ],[336.80870,163 ],[336.80872,165 ],[336.80874,167 ],[336.80876,170 ],[336.80878,172 ],[336.80880,175 ],[336.80882,177 ],[336.80884,179 ],[336.80885,182 ],[336.80887,184 ],[336.80889,187 ],[336.80891,190 ],[336.80893,192 ],[336.80895,195 ],[336.80897,198 ],[336.80899,200 ],[336.80901,203 ],[336.80903,208 ],[336.80905,211 ],[336.80907,213 ],[336.80909,215 ],[336.80911,219 ],[336.80913,222 ],[336.80915,226 ],[336.80917,228 ],[336.80919,232 ],[336.80921,236 ],[336.80923,239 ],[336.80925,242 ],[336.80926,247 ],[336.80928,250 ],[336.80930,255 ],[336.80932,259 ],[336.80934,262 ],[336.80936,266 ],[336.80938,270 ],[336.80940,274 ],[336.80942,279 ],[336.80944,283 ],[336.80946,287 ],[336.80948,293 ],[336.80950,297 ],[336.80952,302 ],[336.80954,306 ],[336.80956,311 ],[336.80958,316 ],[336.80960,322 ],[336.80962,328 ],[336.80964,333 ],[336.80966,339 ],[336.80968,344 ],[336.80969,350 ],[336.80971,355 ],[336.80973,362 ],[336.80975,367 ],[336.80977,373 ],[336.80979,379 ],[336.80981,387 ],[336.80983,393 ],[336.80985,401 ],[336.80987,406 ],[336.80989,413 ],[336.80991,422 ],[336.80993,429 ],[336.80995,436 ],[336.80997,445 ],[336.80999,452 ],[336.81001,459 ],[336.81003,468 ],[336.81005,476 ],[336.81007,485 ],[336.81009,494 ],[336.81010,501 ],[336.81012,511 ],[336.81014,521 ],[336.81016,530 ],[336.81018,539 ],[336.81020,548 ],[336.81022,560 ],[336.81024,571 ],[336.81026,580 ],[336.81028,592 ],[336.81030,602 ],[336.81032,614 ],[336.81034,624 ],[336.81036,635 ],[336.81038,646 ],[336.81040,659 ],[336.81042,672 ],[336.81044,684 ],[336.81046,698 ],[336.81048,711 ],[336.81050,722 ],[336.81052,735 ],[336.81053,748 ],[336.81055,763 ],[336.81057,775 ],[336.81059,791 ],[336.81061,807 ],[336.81063,821 ],[336.81065,837 ],[336.81067,851 ],[336.81069,867 ],[336.81071,883 ],[336.81073,899 ],[336.81075,915 ],[336.81077,931 ],[336.81079,944 ],[336.81081,962 ],[336.81083,980 ],[336.81085,996 ],[336.81087,1014 ],[336.81089,1032 ],[336.81091,1049 ],[336.81093,1065 ],[336.81094,1084 ],[336.81096,1102 ],[336.81098,1118 ],[336.81100,1139 ],[336.81102,1153 ],[336.81104,1172 ],[336.81106,1191 ],[336.81108,1208 ],[336.81110,1225 ],[336.81112,1242 ],[336.81114,1262 ],[336.81116,1280 ],[336.81118,1296 ],[336.81120,1313 ],[336.81122,1328 ],[336.81124,1346 ],[336.81126,1364 ],[336.81128,1379 ],[336.81130,1395 ],[336.81132,1411 ],[336.81134,1424 ],[336.81136,1439 ],[336.81137,1454 ],[336.81139,1465 ],[336.81141,1479 ],[336.81143,1490 ],[336.81145,1503 ],[336.81147,1513 ],[336.81149,1523 ],[336.81151,1531 ],[336.81153,1540 ],[336.81155,1548 ],[336.81157,1554 ],[336.81159,1558 ],[336.81161,1562 ],[336.81163,1565 ],[336.81165,1567 ],[336.81167,1568 ],[336.81169,1566 ],[336.81171,1564 ],[336.81173,1561 ],[336.81175,1556 ],[336.81177,1549 ],[336.81178,1542 ],[336.81180,1531 ],[336.81182,1520 ],[336.81184,1507 ],[336.81186,1493 ],[336.81188,1478 ],[336.81190,1458 ],[336.81192,1437 ],[336.81194,1418 ],[336.81196,1395 ],[336.81198,1368 ],[336.81200,1338 ],[336.81202,1311 ],[336.81204,1278 ],[336.81206,1247 ],[336.81208,1212 ],[336.81210,1176 ],[336.81212,1135 ],[336.81214,1103 ],[336.81216,1056 ],[336.81218,1013 ],[336.81220,967 ],[336.81221,921 ],[336.81223,858 ],[336.81225,820 ],[336.81227,769 ],[336.81229,719 ],[336.81231,663 ],[336.81233,608 ],[336.81235,556 ],[336.81237,500 ],[336.81239,441 ],[336.81241,380 ],[336.81243,312 ],[336.81245,248 ],[336.81247,199 ],[336.81249,123 ],[336.81251,69 ],[336.81253,13 ],[336.81255,-48 ],[336.81257,-109 ],[336.81259,-171 ],[336.81261,-240 ],[336.81263,-300 ],[336.81264,-360 ],[336.81266,-413 ],[336.81268,-477 ],[336.81270,-541 ],[336.81272,-596 ],[336.81274,-652 ],[336.81276,-705 ],[336.81278,-757 ],[336.81280,-812 ],[336.81282,-870 ],[336.81284,-920 ],[336.81286,-965 ],[336.81288,-1014 ],[336.81290,-1062 ],[336.81292,-1109 ],[336.81294,-1151 ],[336.81296,-1187 ],[336.81298,-1227 ],[336.81300,-1259 ],[336.81302,-1297 ],[336.81304,-1332 ],[336.81305,-1366 ],[336.81307,-1391 ],[336.81309,-1418 ],[336.81311,-1446 ],[336.81313,-1471 ],[336.81315,-1491 ],[336.81317,-1514 ],[336.81319,-1531 ],[336.81321,-1548 ],[336.81323,-1562 ],[336.81325,-1574 ],[336.81327,-1585 ],[336.81329,-1596 ],[336.81331,-1604 ],[336.81333,-1611 ],[336.81335,-1616 ],[336.81337,-1619 ],[336.81339,-1621 ],[336.81341,-1622 ],[336.81343,-1621 ],[336.81345,-1619 ],[336.81347,-1617 ],[336.81348,-1613 ],[336.81350,-1607 ],[336.81352,-1600 ],[336.81354,-1594 ],[336.81356,-1585 ],[336.81358,-1577 ],[336.81360,-1563 ],[336.81362,-1554 ],[336.81364,-1542 ],[336.81366,-1529 ],[336.81368,-1516 ],[336.81370,-1503 ],[336.81372,-1487 ],[336.81374,-1475 ],[336.81376,-1458 ],[336.81378,-1446 ],[336.81380,-1427 ],[336.81382,-1410 ],[336.81384,-1396 ],[336.81386,-1376 ],[336.81388,-1361 ],[336.81389,-1340 ],[336.81391,-1323 ],[336.81393,-1305 ],[336.81395,-1284 ],[336.81397,-1271 ],[336.81399,-1251 ],[336.81401,-1229 ],[336.81403,-1215 ],[336.81405,-1198 ],[336.81407,-1179 ],[336.81409,-1157 ],[336.81411,-1139 ],[336.81413,-1124 ],[336.81415,-1105 ],[336.81417,-1089 ],[336.81419,-1069 ],[336.81421,-1048 ],[336.81423,-1032 ],[336.81425,-1014 ],[336.81427,-996 ],[336.81429,-980 ],[336.81431,-964 ],[336.81432,-949 ],[336.81434,-930 ],[336.81436,-916 ],[336.81438,-899 ],[336.81440,-881 ],[336.81442,-865 ],[336.81444,-851 ],[336.81446,-835 ],[336.81448,-823 ],[336.81450,-806 ],[336.81452,-790 ],[336.81454,-776 ],[336.81456,-763 ],[336.81458,-752 ],[336.81460,-735 ],[336.81462,-723 ],[336.81464,-709 ],[336.81466,-697 ],[336.81468,-685 ],[336.81470,-671 ],[336.81472,-661 ],[336.81473,-648 ],[336.81475,-635 ],[336.81477,-624 ],[336.81479,-612 ],[336.81481,-602 ],[336.81483,-591 ],[336.81485,-580 ],[336.81487,-570 ],[336.81489,-559 ],[336.81491,-550 ],[336.81493,-540 ],[336.81495,-530 ],[336.81497,-521 ],[336.81499,-511 ],[336.81501,-503 ],[336.81503,-494 ],[336.81505,-485 ],[336.81507,-477 ],[336.81509,-469 ],[336.81511,-459 ],[336.81513,-452 ],[336.81515,-443 ],[336.81516,-436 ],[336.81518,-430 ],[336.81520,-422 ],[336.81522,-415 ],[336.81524,-407 ],[336.81526,-401 ],[336.81528,-394 ],[336.81530,-387 ],[336.81532,-381 ],[336.81534,-375 ],[336.81536,-369 ],[336.81538,-363 ],[336.81540,-357 ],[336.81542,-351 ],[336.81544,-345 ],[336.81546,-339 ],[336.81548,-335 ],[336.81550,-329 ],[336.81552,-323 ],[336.81554,-319 ],[336.81556,-315 ],[336.81557,-308 ],[336.81559,-304 ],[336.81561,-299 ],[336.81563,-295 ],[336.81565,-291 ],[336.81567,-286 ],[336.81569,-282 ],[336.81571,-278 ],[336.81573,-274 ],[336.81575,-270 ],[336.81577,-264 ],[336.81579,-262 ],[336.81581,-258 ],[336.81583,-255 ],[336.81585,-251 ],[336.81587,-247 ],[336.81589,-244 ],[336.81591,-241 ],[336.81593,-236 ],[336.81595,-233 ],[336.81597,-230 ],[336.81599,-227 ],[336.81600,-224 ],[336.81602,-221 ],[336.81604,-218 ],[336.81606,-214 ],[336.81608,-211 ],[336.81610,-209 ],[336.81612,-206 ],[336.81614,-203 ],[336.81616,-200 ],[336.81618,-198 ],[336.81620,-195 ],[336.81622,-193 ],[336.81624,-190 ],[336.81626,-188 ],[336.81628,-185 ],[336.81630,-183 ],[336.81632,-180 ],[336.81634,-177 ],[336.81636,-175 ],[336.81638,-174 ],[336.81640,-171 ],[336.81642,-169 ],[336.81643,-166 ],[336.81645,-164 ],[336.81647,-162 ],[336.81649,-160 ],[336.81651,-158 ],[336.81653,-156 ],[336.81655,-154 ],[336.81657,-152 ],[336.81659,-150 ],[336.81661,-148 ],[336.81663,-146 ],[336.81665,-144 ],[336.81667,-142 ],[336.81669,-141 ],[336.81671,-139 ],[336.81673,-137 ],[336.81675,-135 ],[336.81677,-134 ],[336.81679,-132 ],[336.81681,-131 ],[336.81683,-129 ],[336.81684,-127 ],[336.81686,-126 ],[336.81688,-124 ],[336.81690,-123 ],[336.81692,-121 ],[336.81694,-120 ],[336.81696,-118 ],[336.81698,-117 ],[336.81700,-116 ],[336.81702,-114 ],[336.81704,-112 ],[336.81706,-111 ],[336.81708,-109 ],[336.81710,-108 ],[336.81712,-107 ],[336.81714,-106 ],[336.81716,-104 ],[336.81718,-103 ],[336.81720,-101 ],[336.81722,-100 ],[336.81724,-99 ],[336.81726,-98 ],[336.81727,-97 ],[336.81729,-96 ],[336.81731,-95 ],[336.81733,-93 ],[336.81735,-92 ],[336.81737,-91 ],[336.81739,-90 ],[336.81741,-89 ],[336.81743,-87 ],[336.81745,-87 ],[336.81747,-86 ],[336.81749,-84 ],[336.81751,-84 ],[336.81753,-83 ],[336.81755,-82 ],[336.81757,-82 ],[336.81759,-80 ],[336.81761,-79 ],[336.81763,-78 ],[336.81765,-77 ],[336.81767,-76 ],[336.81768,-75 ],[336.81770,-75 ],[336.81772,-74 ],[336.81774,-73 ],[336.81776,-72 ],[336.81778,-71 ],[336.81780,-71 ],[336.81782,-70 ],[336.81784,-69 ],[336.81786,-69 ],[336.81788,-67 ],[336.81790,-67 ],[336.81792,-66 ],[336.81794,-65 ],[336.81796,-65 ],[336.81798,-64 ],[336.81800,-63 ],[336.81802,-62 ],[336.81804,-62 ],[336.81806,-61 ],[336.81808,-60 ],[336.81810,-60 ],[336.81811,-59 ],[336.81813,-59 ],[336.81815,-58 ],[336.81817,-57 ],[336.81819,-57 ],[336.81821,-56 ],[336.81823,-56 ],[336.81825,-55 ],[336.81827,-54 ],[336.81829,-54 ],[336.81831,-53 ],[336.81833,-53 ],[336.81835,-52 ],[336.81837,-52 ],[336.81839,-51 ],[336.81841,-51 ],[336.81843,-50 ],[336.81845,-50 ],[336.81847,-49 ],[336.81849,-49 ],[336.81851,-48 ],[336.81852,-48 ],[336.81854,-47 ],[336.81856,-47 ],[336.81858,-47 ],[336.81860,-46 ],[336.81862,-46 ],[336.81864,-46 ],[336.81866,-45 ],[336.81868,-44 ],[336.81870,-44 ],[336.81872,-44 ],[336.81874,-43 ],[336.81876,-43 ],[336.81878,-43 ],[336.81880,-42 ],[336.81882,-41 ],[336.81884,-42 ],[336.81886,-41 ],[336.81888,-40 ],[336.81890,-40 ],[336.81892,-40 ],[336.81894,-39 ],[336.81895,-39 ],[336.81897,-38 ],[336.81899,-38 ],[336.81901,-38 ],[336.81903,-37 ],[336.81905,-37 ],[336.81907,-37 ],[336.81909,-37 ],[336.81911,-36 ],[336.81913,-36 ],[336.81915,-35 ],[336.81917,-35 ],[336.81919,-35 ],[336.81921,-34 ],[336.81923,-34 ],[336.81925,-34 ],[336.81927,-34 ],[336.81929,-34 ],[336.81931,-33 ],[336.81933,-33 ],[336.81935,-33 ],[336.81936,-32 ],[336.81938,-32 ],[336.81940,-31 ],[336.81942,-32 ],[336.81944,-31 ],[336.81946,-31 ],[336.81948,-31 ],[336.81950,-31 ],[336.81952,-30 ],[336.81954,-30 ],[336.81956,-30 ],[336.81958,-30 ],[336.81960,-29 ],[336.81962,-29 ],[336.81964,-29 ],[336.81966,-29 ],[336.81968,-28 ],[336.81970,-28 ],[336.81972,-28 ],[336.81974,-27 ],[336.81976,-27 ],[336.81978,-27 ],[336.81979,-27 ],[336.81981,-27 ],[336.81983,-27 ],[336.81985,-27 ],[336.81987,-27 ],[336.81989,-26 ],[336.81991,-26 ],[336.81993,-26 ],[336.81995,-26 ],[336.81997,-26 ],[336.81999,-25 ],[336.82001,-25 ],[336.82003,-25 ],[336.82005,-25 ],[336.82007,-24 ],[336.82009,-25 ],[336.82011,-24 ],[336.82013,-24 ],[336.82015,-24 ],[336.82017,-24 ],[336.82019,-24 ],[336.82021,-23 ],[336.82022,-23 ],[336.82024,-23 ],[336.82026,-23 ],[336.82028,-23 ],[336.82030,-23 ],[336.82032,-22 ],[336.82034,-22 ],[336.82036,-22 ],[336.82038,-22 ],[336.82040,-21 ],[336.82042,-22 ],[336.82044,-21 ],[336.82046,-22 ],[336.82048,-21 ],[336.82050,-21 ],[336.82052,-21 ],[336.82054,-21 ],[336.82056,-21 ],[336.82058,-20 ],[336.82060,-20 ],[336.82062,-20 ],[336.82063,-20 ],[336.82065,-20 ],[336.82067,-19 ],[336.82069,-19 ],[336.82071,-19 ],[336.82073,-19 ],[336.82075,-19 ],[336.82077,-19 ],[336.82079,-19 ],[336.82081,-19 ],[336.82083,-19 ],[336.82085,-19 ],[336.82087,-19 ],[336.82089,-18 ],[336.82091,-18 ],[336.82093,-18 ],[336.82095,-18 ],[336.82097,-18 ],[336.82099,-18 ],[336.82101,-18 ],[336.82103,-18 ],[336.82105,-18 ],[336.82106,-18 ],[336.82108,-17 ],[336.82110,-17 ],[336.82112,-17 ],[336.82114,-17 ],[336.82116,-17 ],[336.82118,-17 ],[336.82120,-17 ],[336.82122,-16 ],[336.82124,-17 ],[336.82126,-16 ],[336.82128,-16 ],[336.82130,-16 ],[336.82132,-16 ],[336.82134,-16 ],[336.82136,-16 ],[336.82138,-16 ],[336.82140,-15 ],[336.82142,-15 ],[336.82144,-16 ],[336.82146,-15 ],[336.82147,-15 ],[336.82149,-15 ],[336.82151,-15 ],[336.82153,-15 ],[336.82155,-15 ],[336.82157,-15 ],[336.82159,-15 ],[336.82161,-15 ],[336.82163,-14 ],[336.82165,-14 ],[336.82167,-15 ],[336.82169,-14 ],[336.82171,-14 ],[336.82173,-15 ],[336.82175,-14 ],[336.82177,-14 ],[336.82179,-14 ],[336.82181,-14 ],[336.82183,-14 ],[336.82185,-14 ],[336.82187,-14 ],[336.82189,-14 ],[336.82190,-13 ],[336.82192,-14 ],[336.82194,-14 ],[336.82196,-13 ],[336.82198,-13 ],[336.82200,-13 ],[336.82202,-13 ],[336.82204,-13 ],[336.82206,-13 ],[336.82208,-13 ],[336.82210,-13 ],[336.82212,-12 ],[336.82214,-12 ],[336.82216,-13 ],[336.82218,-13 ],[336.82220,-13 ],[336.82222,-13 ],[336.82224,-12 ],[336.82226,-12 ],[336.82228,-12 ],[336.82230,-12 ],[336.82231,-12 ],[336.82233,-12 ],[336.82235,-12 ],[336.82237,-12 ],[336.82239,-12 ],[336.82241,-11 ],[336.82243,-11 ],[336.82245,-12 ],[336.82247,-11 ],[336.82249,-11 ],[336.82251,-11 ],[336.82253,-12 ],[336.82255,-11 ],[336.82257,-12 ],[336.82259,-11 ],[336.82261,-11 ],[336.82263,-11 ],[336.82265,-11 ],[336.82267,-11 ],[336.82269,-11 ],[336.82271,-11 ],[336.82273,-11 ],[336.82274,-11 ],[336.82276,-11 ],[336.82278,-11 ],[336.82280,-11 ],[336.82282,-10 ],[336.82284,-10 ],[336.82286,-11 ],[336.82288,-11 ],[336.82290,-10 ],[336.82292,-11 ],[336.82294,-10 ],[336.82296,-10 ],[336.82298,-10 ],[336.82300,-10 ],[336.82302,-10 ],[336.82304,-10 ],[336.82306,-10 ],[336.82308,-10 ],[336.82310,-10 ],[336.82312,-10 ],[336.82314,-10 ],[336.82315,-10 ],[336.82317,-10 ],[336.82319,-10 ],[336.82321,-10 ],[336.82323,-10 ],[336.82325,-10 ],[336.82327,-10 ],[336.82329,-10 ],[336.82331,-10 ],[336.82333,-10 ],[336.82335,-9 ],[336.82337,-10 ],[336.82339,-9 ],[336.82341,-9 ],[336.82343,-9 ],[336.82345,-9 ],[336.82347,-9 ],[336.82349,-9 ],[336.82351,-9 ],[336.82353,-9 ],[336.82355,-9 ],[336.82357,-9 ],[336.82358,-9 ],[336.82360,-9 ],[336.82362,-9 ],[336.82364,-9 ],[336.82366,-9 ],[336.82368,-9 ],[336.82370,-9 ],[336.82372,-9 ],[336.82374,-9 ],[336.82376,-9 ],[336.82378,-9 ],[336.82380,-9 ],[336.82382,-9 ],[336.82384,-9 ],[336.82386,-8 ],[336.82388,-9 ],[336.82390,-9 ],[336.82392,-8 ],[336.82394,-8 ],[336.82396,-8 ],[336.82398,-8 ],[336.824,-8 ],[336.82401,-8 ],[336.82403,-8 ],[336.82405,-8 ],[336.82407,-8 ],[336.82409,-8 ],[336.82411,-8 ],[336.82413,-8 ],[336.82415,-8 ],[336.82417,-8 ],[336.82419,-8 ],[336.82421,-9 ],[336.82423,-8 ],[336.82425,-8 ],[336.82427,-7 ],[336.82429,-8 ],[336.82431,-8 ],[336.82433,-8 ],[336.82435,-8 ],[336.82437,-7 ],[336.82439,-7 ],[336.82441,-8 ],[336.82442,-8 ],[336.82444,-8 ],[336.82446,-8 ],[336.82448,-8 ],[336.82450,-7 ],[336.82452,-7 ],[336.82454,-7 ],[336.82456,-7 ],[336.82458,-7 ],[336.82460,-7 ],[336.82462,-7 ],[336.82464,-7 ],[336.82466,-7 ],[336.82468,-7 ],[336.82470,-7 ],[336.82472,-7 ],[336.82474,-7 ],[336.82476,-7 ],[336.82478,-7 ],[336.82480,-7 ],[336.82482,-7 ],[336.82484,-7 ],[336.82485,-7 ],[336.82487,-7 ],[336.82489,-7 ],[336.82491,-7 ],[336.82493,-7 ],[336.82495,-6 ],[336.82497,-7 ],[336.82499,-7 ],[336.82501,-7 ],[336.82503,-7 ],[336.82505,-7 ],[336.82507,-7 ],[336.82509,-7 ],[336.82511,-6 ],[336.82513,-7 ],[336.82515,-6 ],[336.82517,-6 ],[336.82519,-7 ],[336.82521,-6 ],[336.82523,-6 ],[336.82525,-7 ],[336.82526,-6 ],[336.82528,-6 ],[336.82530,-7 ],[336.82532,-6 ],[336.82534,-6 ],[336.82536,-6 ],[336.82538,-6 ],[336.82540,-6 ],[336.82542,-6 ],[336.82544,-6 ],[336.82546,-6 ],[336.82548,-6 ],[336.82550,-6 ],[336.82552,-6 ],[336.82554,-6 ],[336.82556,-6 ],[336.82558,-6 ],[336.82560,-6 ],[336.82562,-6 ],[336.82564,-6 ],[336.82566,-5 ],[336.82568,-6 ],[336.82569,-6 ],[336.82571,-6 ],[336.82573,-6 ],[336.82575,-6 ],[336.82577,-6 ],[336.82579,-5 ],[336.82581,-6 ],[336.82583,-6 ],[336.82585,-6 ],[336.82587,-6 ],[336.82589,-6 ],[336.82591,-6 ],[336.82593,-6 ],[336.82595,-5 ],[336.82597,-6 ],[336.82599,-6 ],[336.82601,-6 ],[336.82603,-5 ],[336.82605,-5 ],[336.82607,-5 ],[336.82609,-5 ],[336.82610,-5 ],[336.82612,-5 ],[336.82614,-5 ],[336.82616,-5 ],[336.82618,-5 ],[336.82620,-5 ],[336.82622,-5 ],[336.82624,-5 ],[336.82626,-5 ],[336.82628,-6 ],[336.82630,-6 ],[336.82632,-5 ],[336.82634,-6 ],[336.82636,-5 ],[336.82638,-5 ],[336.82640,-6 ],[336.82642,-5 ],[336.82644,-6 ],[336.82646,-5 ],[336.82648,-5 ],[336.82650,-5 ],[336.82652,-5 ],[336.82653,-5 ],[336.82655,-5 ],[336.82657,-5 ],[336.82659,-5 ],[336.82661,-5 ],[336.82663,-5 ],[336.82665,-5 ],[336.82667,-5 ],[336.82669,-5 ],[336.82671,-5 ],[336.82673,-5 ],[336.82675,-4 ],[336.82677,-5 ],[336.82679,-5 ],[336.82681,-5 ],[336.82683,-5 ],[336.82685,-5 ],[336.82687,-4 ],[336.82689,-5 ],[336.82691,-5 ],[336.82693,-5 ],[336.82694,-4 ],[336.82696,-5 ],[336.82698,-5 ],[336.82700,-4 ],[336.82702,-5 ],[336.82704,-5 ],[336.82706,-5 ],[336.82708,-5 ],[336.82710,-5 ],[336.82712,-5 ],[336.82714,-5 ],[336.82716,-5 ],[336.82718,-5 ],[336.82720,-4 ],[336.82722,-5 ],[336.82724,-5 ],[336.82726,-5 ],[336.82728,-5 ],[336.82730,-5 ],[336.82732,-5 ],[336.82734,-5 ],[336.82736,-4 ],[336.82737,-4 ],[336.82739,-4 ],[336.82741,-5 ],[336.82743,-5 ],[336.82745,-4 ],[336.82747,-5 ],[336.82749,-5 ],[336.82751,-4 ],[336.82753,-5 ],[336.82755,-4 ],[336.82757,-5 ],[336.82759,-5 ],[336.82761,-5 ],[336.82763,-4 ],[336.82765,-5 ],[336.82767,-5 ],[336.82769,-5 ],[336.82771,-5 ],[336.82773,-5 ],[336.82775,-5 ],[336.82777,-5 ],[336.82778,-4 ],[336.82780,-4 ],[336.82782,-4 ],[336.82784,-4 ],[336.82786,-5 ],[336.82788,-4 ],[336.82790,-4 ],[336.82792,-5 ],[336.82794,-4 ],[336.82796,-5 ],[336.82798,-4 ],[336.82800,-4 ],[336.82802,-5 ],[336.82804,-4 ],[336.82806,-4 ],[336.82808,-4 ],[336.82810,-4 ],[336.82812,-5 ],[336.82814,-4 ],[336.82816,-4 ],[336.82818,-4 ],[336.82820,-4 ],[336.82821,-4 ],[336.82823,-5 ],[336.82825,-4 ],[336.82827,-5 ],[336.82829,-4 ],[336.82831,-5 ],[336.82833,-4 ],[336.82835,-5 ],[336.82837,-4 ],[336.82839,-4 ],[336.82841,-4 ],[336.82843,-4 ],[336.82845,-4 ],[336.82847,-4 ],[336.82849,-4 ],[336.82851,-4 ],[336.82853,-4 ],[336.82855,-4 ],[336.82857,-4 ],[336.82859,-4 ],[336.82861,-4 ],[336.82863,-4 ],[336.82864,-4 ],[336.82866,-4 ],[336.82868,-4 ],[336.82870,-4 ],[336.82872,-4 ],[336.82874,-4 ],[336.82876,-4 ],[336.82878,-4 ],[336.82880,-4 ],[336.82882,-4 ],[336.82884,-4 ],[336.82886,-4 ],[336.82888,-4 ],[336.82890,-4 ],[336.82892,-4 ],[336.82894,-4 ],[336.82896,-4 ],[336.82898,-4 ],[336.82900,-4 ],[336.82902,-4 ],[336.82904,-4 ],[336.82905,-4 ],[336.82907,-4 ],[336.82909,-4 ],[336.82911,-4 ],[336.82913,-4 ],[336.82915,-4 ],[336.82917,-4 ],[336.82919,-4 ],[336.82921,-4 ],[336.82923,-4 ],[336.82925,-4 ],[336.82927,-4 ],[336.82929,-4 ],[336.82931,-4 ],[336.82933,-4 ],[336.82935,-3 ],[336.82937,-3 ],[336.82939,-4 ],[336.82941,-4 ],[336.82943,-4 ],[336.82945,-4 ],[336.82947,-4 ],[336.82948,-4 ],[336.82950,-4 ],[336.82952,-4 ],[336.82954,-4 ],[336.82956,-4 ],[336.82958,-3 ],[336.82960,-3 ],[336.82962,-4 ],[336.82964,-4 ],[336.82966,-4 ],[336.82968,-4 ],[336.82970,-4 ],[336.82972,-3 ],[336.82974,-4 ],[336.82976,-4 ],[336.82978,-4 ],[336.82980,-3 ],[336.82982,-4 ],[336.82984,-4 ],[336.82986,-3 ],[336.82988,-3 ],[336.82989,-4 ],[336.82991,-4 ],[336.82993,-4 ],[336.82995,-4 ],[336.82997,-4 ],[336.82999,-4 ],[336.83001,-3 ],[336.83003,-3 ],[336.83005,-4 ],[336.83007,-4 ],[336.83009,-4 ],[336.83011,-4 ],[336.83013,-3 ],[336.83015,-4 ],[336.83017,-4 ],[336.83019,-3 ],[336.83021,-3 ],[336.83023,-4 ],[336.83025,-3 ],[336.83027,-3 ],[336.83029,-3 ],[336.83031,-4 ],[336.83032,-4 ],[336.83034,-4 ],[336.83036,-4 ],[336.83038,-4 ],[336.83040,-3 ],[336.83042,-4 ],[336.83044,-4 ],[336.83046,-4 ],[336.83048,-4 ],[336.83050,-4 ],[336.83052,-4 ],[336.83054,-4 ],[336.83056,-3 ],[336.83058,-4 ],[336.83060,-4 ],[336.83062,-4 ],[336.83064,-4 ],[336.83066,-4 ],[336.83068,-4 ],[336.83070,-3 ],[336.83072,-4 ],[336.83073,-4 ],[336.83075,-4 ],[336.83077,-3 ],[336.83079,-4 ],[336.83081,-4 ],[336.83083,-3 ],[336.83085,-4 ],[336.83087,-4 ],[336.83089,-4 ],[336.83091,-4 ],[336.83093,-4 ],[336.83095,-4 ],[336.83097,-4 ],[336.83099,-4 ],[336.83101,-4 ],[336.83103,-4 ],[336.83105,-4 ],[336.83107,-4 ],[336.83109,-4 ],[336.83111,-4 ],[336.83113,-3 ],[336.83115,-4 ],[336.83116,-4 ],[336.83118,-4 ],[336.83120,-4 ],[336.83122,-4 ],[336.83124,-4 ],[336.83126,-4 ],[336.83128,-4 ],[336.83130,-4 ],[336.83132,-4 ],[336.83134,-4 ],[336.83136,-4 ],[336.83138,-4 ],[336.83140,-4 ],[336.83142,-4 ],[336.83144,-4 ],[336.83146,-4 ],[336.83148,-4 ],[336.83150,-4 ],[336.83152,-4 ],[336.83154,-4 ],[336.83156,-4 ],[336.83157,-4 ],[336.83159,-4 ],[336.83161,-5 ],[336.83163,-5 ],[336.83165,-4 ],[336.83167,-4 ],[336.83169,-5 ],[336.83171,-5 ],[336.83173,-5 ],[336.83175,-5 ],[336.83177,-5 ],[336.83179,-4 ],[336.83181,-5 ],[336.83183,-4 ],[336.83185,-5 ],[336.83187,-5 ],[336.83189,-5 ],[336.83191,-5 ],[336.83193,-5 ],[336.83195,-4 ],[336.83197,-5 ],[336.83199,-5 ],[336.83200,-6 ],[336.83202,-5 ],[336.83204,-5 ],[336.83206,-5 ],[336.83208,-5 ],[336.83210,-5 ],[336.83212,-5 ],[336.83214,-5 ],[336.83216,-5 ],[336.83218,-5 ],[336.83220,-5 ],[336.83222,-5 ],[336.83224,-5 ],[336.83226,-5 ],[336.83228,-6 ],[336.83230,-6 ],[336.83232,-5 ],[336.83234,-5 ],[336.83236,-5 ],[336.83238,-5 ],[336.83240,-5 ],[336.83242,-5 ],[336.83243,-5 ],[336.83245,-4 ],[336.83247,-4 ],[336.83249,-4 ],[336.83251,-3 ],[336.83253,-3 ],[336.83255,-4 ],[336.83257,-3 ],[336.83259,-3 ],[336.83261,-3 ],[336.83263,-3 ],[336.83265,-2 ],[336.83267,-2 ],[336.83269,-2 ],[336.83271,-2 ],[336.83273,-2 ],[336.83275,-2 ],[336.83277,-2 ],[336.83279,-1 ],[336.83281,-1 ],[336.83283,-1 ],[336.83284,-1 ],[336.83286,-1 ],[336.83288,0 ],[336.83290,0 ],[336.83292,0 ],[336.83294,0 ],[336.83296,0 ],[336.83298,0 ],[336.83300,0 ],[336.83302,0 ],[336.83304,0 ],[336.83306,0 ],[336.83308,0 ],[336.83310,0 ],[336.83312,0 ],[336.83314,0 ],[336.83316,0 ],[336.83318,0 ],[336.83320,0 ],[336.83322,0 ],[336.83324,0 ],[336.83326,0 ],[336.83327,0 ],[336.83329,0 ],[336.83331,0 ],[336.83333,0 ],[336.83335,-1 ],[336.83337,-1 ],[336.83339,0 ],[336.83341,0 ],[336.83343,0 ],[336.83345,-1 ],[336.83347,0 ],[336.83349,0 ],[336.83351,-1 ],[336.83353,-1 ],[336.83355,-1 ],[336.83357,0 ],[336.83359,-1 ],[336.83361,-1 ],[336.83363,-1 ],[336.83365,-1 ],[336.83367,-1 ],[336.83368,-1 ],[336.83370,-1 ],[336.83372,-1 ],[336.83374,-1 ],[336.83376,-2 ],[336.83378,-2 ],[336.83380,-1 ],[336.83382,-1 ],[336.83384,-1 ],[336.83386,-1 ],[336.83388,-1 ],[336.83390,-1 ],[336.83392,-1 ],[336.83394,-1 ],[336.83396,-1 ],[336.83398,-1 ],[336.83400,-1 ],[336.83402,-1 ],[336.83404,-1 ],[336.83406,-1 ],[336.83408,-1 ],[336.83410,-1 ],[336.83411,-1 ],[336.83413,-1 ],[336.83415,-1 ],[336.83417,-2 ],[336.83419,-1 ],[336.83421,-2 ],[336.83423,-2 ],[336.83425,-2 ],[336.83427,-2 ],[336.83429,-2 ],[336.83431,-1 ],[336.83433,-1 ],[336.83435,-2 ],[336.83437,-2 ],[336.83439,-2 ],[336.83441,-2 ],[336.83443,-2 ],[336.83445,-2 ],[336.83447,-2 ],[336.83449,-2 ],[336.83451,-2 ],[336.83452,-2 ],[336.83454,-2 ],[336.83456,-1 ],[336.83458,-2 ],[336.83460,-2 ],[336.83462,-2 ],[336.83464,-2 ],[336.83466,-2 ],[336.83468,-2 ],[336.83470,-2 ],[336.83472,-2 ],[336.83474,-2 ],[336.83476,-2 ],[336.83478,-2 ],[336.83480,-2 ],[336.83482,-1 ],[336.83484,-2 ],[336.83486,-2 ],[336.83488,-2 ],[336.83490,-2 ],[336.83492,-2 ],[336.83494,-2 ],[336.83495,-2 ],[336.83497,-2 ],[336.83499,-2 ],[336.83501,-2 ],[336.83503,-2 ],[336.83505,-2 ],[336.83507,-2 ],[336.83509,-2 ],[336.83511,-2 ],[336.83513,-1 ],[336.83515,-2 ],[336.83517,-2 ],[336.83519,-2 ],[336.83521,-2 ],[336.83523,-2 ],[336.83525,-2 ],[336.83527,-2 ],[336.83529,-2 ],[336.83531,-2 ],[336.83533,-2 ],[336.83535,-2 ],[336.83536,-2 ],[336.83538,-2 ],[336.83540,-2 ],[336.83542,-1 ],[336.83544,-2 ],[336.83546,-2 ],[336.83548,-2 ],[336.83550,-2 ],[336.83552,-2 ],[336.83554,-2 ],[336.83556,-2 ],[336.83558,-2 ],[336.83560,-2 ],[336.83562,-2 ],[336.83564,-2 ],[336.83566,-2 ],[336.83568,-2 ],[336.83570,-2 ],[336.83572,-2 ],[336.83574,-2 ],[336.83576,-2 ],[336.83578,-2 ],[336.83579,-2 ],[336.83581,-2 ],[336.83583,-2 ],[336.83585,-2 ],[336.83587,-2 ],[336.83589,-2 ],[336.83591,-2 ],[336.83593,-2 ],[336.83595,-2 ],[336.83597,-1 ],[336.83599,-2 ],[336.83601,-2 ],[336.83603,-2 ],[336.83605,-2 ],[336.83607,-2 ],[336.83609,-2 ],[336.83611,-2 ],[336.83613,-2 ],[336.83615,-2 ],[336.83617,-2 ],[336.83619,-3 ],[336.83621,-2 ],[336.83622,-2 ],[336.83624,-2 ],[336.83626,-2 ],[336.83628,-2 ],[336.83630,-2 ],[336.83632,-2 ],[336.83634,-2 ],[336.83636,-3 ],[336.83638,-3 ],[336.83640,-2 ],[336.83642,-2 ],[336.83644,-2 ],[336.83646,-2 ],[336.83648,-3 ],[336.83650,-2 ],[336.83652,-2 ],[336.83654,-2 ],[336.83656,-2 ],[336.83658,-2 ],[336.83660,-2 ],[336.83662,-2 ],[336.83663,-2 ],[336.83665,-2 ],[336.83667,-1 ],[336.83669,-2 ],[336.83671,-2 ],[336.83673,-2 ],[336.83675,-2 ],[336.83677,-2 ],[336.83679,-2 ],[336.83681,-1 ],[336.83683,-2 ],[336.83685,-1 ],[336.83687,-2 ],[336.83689,-2 ],[336.83691,-2 ],[336.83693,-1 ],[336.83695,-2 ],[336.83697,-1 ],[336.83699,-2 ],[336.83701,-2 ],[336.83703,-2 ],[336.83705,-2 ],[336.83706,-2 ],[336.83708,-2 ],[336.83710,-2 ],[336.83712,-2 ],[336.83714,-2 ],[336.83716,-1 ],[336.83718,-2 ],[336.83720,-2 ],[336.83722,-2 ],[336.83724,-2 ],[336.83726,-2 ],[336.83728,-2 ],[336.83730,-2 ],[336.83732,-2 ],[336.83734,-2 ],[336.83736,-2 ],[336.83738,-2 ],[336.83740,-2 ],[336.83742,-2 ],[336.83744,-2 ],[336.83746,-2 ],[336.83747,-1 ],[336.83749,-2 ],[336.83751,-2 ],[336.83753,-2 ],[336.83755,-2 ],[336.83757,-2 ],[336.83759,-2 ],[336.83761,-1 ],[336.83763,-2 ],[336.83765,-2 ],[336.83767,-2 ],[336.83769,-2 ],[336.83771,-2 ],[336.83773,-2 ],[336.83775,-2 ],[336.83777,-2 ],[336.83779,-2 ],[336.83781,-2 ],[336.83783,-2 ],[336.83785,-2 ],[336.83787,-1 ],[336.83789,-2 ],[336.83790,-2 ],[336.83792,-2 ],[336.83794,-2 ],[336.83796,-2 ],[336.83798,-2 ],[336.83800,-2 ],[336.83802,-2 ],[336.83804,-2 ],[336.83806,-2 ],[336.83808,-2 ],[336.83810,-2 ],[336.83812,-2 ],[336.83814,-2 ],[336.83816,-2 ],[336.83818,-2 ],[336.83820,-1 ],[336.83822,-2 ],[336.83824,-2 ],[336.83826,-1 ],[336.83828,-2 ],[336.83830,-2 ],[336.83831,-2 ],[336.83833,-2 ],[336.83835,-2 ],[336.83837,-2 ],[336.83839,-2 ],[336.83841,-2 ],[336.83843,-2 ],[336.83845,-2 ],[336.83847,-2 ],[336.83849,-2 ],[336.83851,-2 ],[336.83853,-2 ],[336.83855,-2 ],[336.83857,-3 ],[336.83859,-2 ],[336.83861,-2 ],[336.83863,-2 ],[336.83865,-2 ],[336.83867,-2 ],[336.83869,-2 ],[336.83871,-1 ],[336.83873,-2 ],[336.83874,-2 ],[336.83876,-2 ],[336.83878,-2 ],[336.83880,-2 ],[336.83882,-2 ],[336.83884,-2 ],[336.83886,-2 ],[336.83888,-2 ],[336.83890,-2 ],[336.83892,-2 ],[336.83894,-2 ],[336.83896,-2 ],[336.83898,-2 ],[336.83900,-2 ],[336.83902,-2 ],[336.83904,-2 ],[336.83906,-2 ],[336.83908,-2 ],[336.83910,-2 ],[336.83912,-2 ],[336.83914,-2 ],[336.83915,-2 ],[336.83917,-2 ],[336.83919,-2 ],[336.83921,-2 ],[336.83923,-2 ],[336.83925,-2 ],[336.83927,-2 ],[336.83929,-2 ],[336.83931,-2 ],[336.83933,-2 ],[336.83935,-2 ],[336.83937,-2 ],[336.83939,-2 ],[336.83941,-2 ],[336.83943,-2 ],[336.83945,-1 ],[336.83947,-2 ],[336.83949,-2 ],[336.83951,-2 ],[336.83953,-2 ],[336.83955,-2 ],[336.83957,-3 ],[336.83958,-2 ],[336.83960,-2 ],[336.83962,-2 ],[336.83964,-2 ],[336.83966,-1 ],[336.83968,-1 ],[336.83970,-2 ],[336.83972,-2 ],[336.83974,-1 ],[336.83976,-2 ],[336.83978,-2 ],[336.83980,-2 ],[336.83982,-2 ],[336.83984,-3 ],[336.83986,-3 ],[336.83988,-2 ],[336.83990,-2 ],[336.83992,-2 ],[336.83994,-2 ],[336.83996,-2 ],[336.83998,-2 ],[336.84,-2 ],[]
| 名称 | グラフ | 説明 |
|---|---|---|
| 指数関数 |
|
python
+
matplotlib
|
| 逆ネルンスト |
|
電池の充放電曲線で現れます。 |
| 確率曲線 |
|
|
| 正規分布関数 |
|
確率統計で多用されます。 品質管理 でも大切です。 |
| 数式 | 意味 | 説明 |
|---|---|---|
| 一次関数 直線 |
数に量の意味はありません。 変数 には、x,y,zのようにアルファベットの後ろの方を使い 定数には、a,b,cのようにアルファベットの前の方を使います。 デカルト座標系では、 図形を表します。 座標の数に量を割り当てたものをグラフやチャートと呼びます。 |
|
|
|
気体の状態方程式 1662~1802 | 左辺 pV が 仕事、 右辺nRTが熱量で、 エネルギー収支を表す量方程式です。 量方程式なので量を単位で割った数値を代入したり求めたりします。 |
|
|
ネルンストの式 1889 | |
|
|
ボルツマンの式 1877 |
数式には、インドアラビア数字、 ラテン文字、 ギリシャ文字、記号など多くの文字が現れます。 文字の多くは、数を表現します。量を数で表現している場合もあります。
数式は、量との量の関係を表現しているので、グラフにできます。
数式で数値を求めるときは、量を単位で割ってから代入します。このような数式を量方程式あるいは 量式*と言います。 単位が指定された数式を 数値方程式 と言います。単位の定義が変わると 数値方程式 の係数も変わります。 文献に記載された 数値方程式 を使う場合は、単位の定義がいつのものなのかを確認する必要があります。
コンピュータ上では直接数式を表現できないため、 TeXを使います。 MathMLを使います。
👨🏫 数式の表現、量の表現 👨🏫 ウルフラムアルファ(WolframAlpha) 👨🏫 計算式のページ(フォーム)動画、音声及び写真を含む図表等を転載する場合には転載許諾書による同意があった方が無難です。 動画、音声及び写真を含む図表等の転載許諾書