🏠
import numpy as np
import matplotlib.pyplot as plt
#fig, ax = plt.subplots(figsize=(2.9, 2.1))
fig, ax = plt.subplots()
#----------------
#_📈_1027_ブランク
xy_1027 = [(331.8,103) \
, (331.80244,103) \
, (331.80488,99) \
, (331.80732,97) \
, (331.80976,94) \
, (331.81221,94) \
, (331.81465,95) \
, (331.81709,95) \
, (331.81953,95) \
, (331.82197,93) \
, (331.82442,90) \
, (331.82686,86) \
, (331.82930,82) \
, (331.83174,80) \
, (331.83418,79) \
, (331.83663,79) \
, (331.83907,81) \
, (331.84151,82) \
, (331.84395,85) \
, (331.84639,88) \
, (331.84884,92) \
, (331.85128,98) \
, (331.85372,102) \
, (331.85616,105) \
, (331.85860,108) \
, (331.86105,108) \
, (331.86349,109) \
, (331.86593,110) \
, (331.86837,110) \
, (331.87081,112) \
, (331.87326,113) \
, (331.87570,113) \
, (331.87814,110) \
, (331.88058,107) \
, (331.88302,105) \
, (331.88547,104) \
, (331.88791,102) \
, (331.89035,99) \
, (331.89279,95) \
, (331.89523,92) \
, (331.89768,91) \
, (331.90012,91) \
, (331.90256,91) \
, (331.90500,91) \
, (331.90744,91) \
, (331.90989,90) \
, (331.91233,88) \
, (331.91477,88) \
, (331.91721,88) \
, (331.91965,89) \
, (331.92210,90) \
, (331.92454,91) \
, (331.92698,91) \
, (331.92942,90) \
, (331.93186,89) \
, (331.93431,87) \
, (331.93675,87) \
, (331.93919,88) \
, (331.94163,88) \
, (331.94407,86) \
, (331.94652,84) \
, (331.94896,83) \
, (331.95140,83) \
, (331.95384,84) \
, (331.95628,86) \
, (331.95873,88) \
, (331.96117,90) \
, (331.96361,91) \
, (331.96605,93) \
, (331.96849,94) \
, (331.97094,94) \
, (331.97338,93) \
, (331.97582,92) \
, (331.97826,91) \
, (331.98070,91) \
, (331.98315,90) \
, (331.98559,89) \
, (331.98803,87) \
, (331.99047,84) \
, (331.99291,80) \
, (331.99536,75) \
, (331.99780,69) \
, (332.00024,62) \
, (332.00268,56) \
, (332.00512,50) \
, (332.00757,44) \
, (332.01001,40) \
, (332.01245,37) \
, (332.01489,36) \
, (332.01733,35) \
, (332.01978,35) \
, (332.02222,36) \
, (332.02466,38) \
, (332.02710,41) \
, (332.02954,44) \
, (332.03199,47) \
, (332.03443,48) \
, (332.03687,48) \
, (332.03931,49) \
, (332.04175,51) \
, (332.04420,53) \
, (332.04664,54) \
, (332.04908,54) \
, (332.05152,54) \
, (332.05396,54) \
, (332.05641,54) \
, (332.05885,52) \
, (332.06129,52) \
, (332.06373,51) \
, (332.06617,49) \
, (332.06862,48) \
, (332.07106,48) \
, (332.07350,50) \
, (332.07594,51) \
, (332.07838,53) \
, (332.08083,54) \
, (332.08327,54) \
, (332.08571,53) \
, (332.08815,53) \
, (332.09059,54) \
, (332.09304,56) \
, (332.09548,57) \
, (332.09792,58) \
, (332.10036,58) \
, (332.10280,58) \
, (332.10525,57) \
, (332.10769,55) \
, (332.11013,52) \
, (332.11257,51) \
, (332.11501,51) \
, (332.11746,52) \
, (332.11990,53) \
, (332.12234,53) \
, (332.12478,52) \
, (332.12722,52) \
, (332.12967,53) \
, (332.13211,53) \
, (332.13455,51) \
, (332.13699,46) \
, (332.13943,41) \
, (332.14188,35) \
, (332.14432,30) \
, (332.14676,26) \
, (332.14920,25) \
, (332.15164,26) \
, (332.15409,26) \
, (332.15653,26) \
, (332.15897,26) \
, (332.16141,28) \
, (332.16385,29) \
, (332.16630,29) \
, (332.16874,28) \
, (332.17118,27) \
, (332.17362,25) \
, (332.17606,24) \
, (332.17851,24) \
, (332.18095,22) \
, (332.18339,19) \
, (332.18583,15) \
, (332.18827,12) \
, (332.19072,9) \
, (332.19316,5) \
, (332.19560,-1) \
, (332.19804,-7) \
, (332.20048,-13) \
, (332.20293,-18) \
, (332.20537,-22) \
, (332.20781,-27) \
, (332.21025,-32) \
, (332.21269,-37) \
, (332.21514,-41) \
, (332.21758,-44) \
, (332.22002,-46) \
, (332.22246,-48) \
, (332.22490,-51) \
, (332.22735,-54) \
, (332.22979,-57) \
, (332.23223,-60) \
, (332.23467,-64) \
, (332.23711,-66) \
, (332.23956,-68) \
, (332.24200,-70) \
, (332.24444,-73) \
, (332.24688,-78) \
, (332.24932,-82) \
, (332.25177,-87) \
, (332.25421,-91) \
, (332.25665,-94) \
, (332.25909,-96) \
, (332.26153,-99) \
, (332.26398,-101) \
, (332.26642,-100) \
, (332.26886,-98) \
, (332.27130,-95) \
, (332.27374,-92) \
, (332.27619,-89) \
, (332.27863,-88) \
, (332.28107,-87) \
, (332.28351,-88) \
, (332.28595,-89) \
, (332.28840,-91) \
, (332.29084,-93) \
, (332.29328,-96) \
, (332.29572,-99) \
, (332.29816,-103) \
, (332.30061,-107) \
, (332.30305,-112) \
, (332.30549,-118) \
, (332.30793,-127) \
, (332.31037,-135) \
, (332.31282,-143) \
, (332.31526,-151) \
, (332.31770,-160) \
, (332.32014,-168) \
, (332.32258,-175) \
, (332.32503,-183) \
, (332.32747,-191) \
, (332.32991,-197) \
, (332.33235,-202) \
, (332.33479,-207) \
, (332.33724,-211) \
, (332.33968,-217) \
, (332.34212,-222) \
, (332.34456,-229) \
, (332.34700,-236) \
, (332.34945,-244) \
, (332.35189,-252) \
, (332.35433,-258) \
, (332.35677,-265) \
, (332.35921,-272) \
, (332.36166,-280) \
, (332.36410,-286) \
, (332.36654,-293) \
, (332.36898,-301) \
, (332.37142,-311) \
, (332.37387,-322) \
, (332.37631,-332) \
, (332.37875,-343) \
, (332.38119,-354) \
, (332.38363,-364) \
, (332.38608,-372) \
, (332.38852,-381) \
, (332.39096,-389) \
, (332.39340,-395) \
, (332.39584,-402) \
, (332.39829,-411) \
, (332.40073,-421) \
, (332.40317,-430) \
, (332.40561,-439) \
, (332.40805,-449) \
, (332.41050,-461) \
, (332.41294,-472) \
, (332.41538,-485) \
, (332.41782,-498) \
, (332.42026,-510) \
, (332.42271,-522) \
]
z_1027 = [list(t) for t in zip(*xy_1027)]; x_1027 = z_1027[0]; y_1027 = z_1027[1]
ax.scatter(x_1027, y_1027)
ax.plot(x_1027, y_1027)
ax.annotate('ID=1027' \
, xy=(np.mean(x_1027),np.mean(y_1027)) \
, xytext=(np.mean(x_1027)+ np.std(y_1027), np.mean(y_1027) + np.std(y_1027)) \
, 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 | 331.8 |
| xmax | 341.8 |
| ymin | -1760 |
| ymax | 1736.9 |
,[331.8,103 ],[331.80244,103 ],[331.80488,99 ],[331.80732,97 ],[331.80976,94 ],[331.81221,94 ],[331.81465,95 ],[331.81709,95 ],[331.81953,95 ],[331.82197,93 ],[331.82442,90 ],[331.82686,86 ],[331.82930,82 ],[331.83174,80 ],[331.83418,79 ],[331.83663,79 ],[331.83907,81 ],[331.84151,82 ],[331.84395,85 ],[331.84639,88 ],[331.84884,92 ],[331.85128,98 ],[331.85372,102 ],[331.85616,105 ],[331.85860,108 ],[331.86105,108 ],[331.86349,109 ],[331.86593,110 ],[331.86837,110 ],[331.87081,112 ],[331.87326,113 ],[331.87570,113 ],[331.87814,110 ],[331.88058,107 ],[331.88302,105 ],[331.88547,104 ],[331.88791,102 ],[331.89035,99 ],[331.89279,95 ],[331.89523,92 ],[331.89768,91 ],[331.90012,91 ],[331.90256,91 ],[331.90500,91 ],[331.90744,91 ],[331.90989,90 ],[331.91233,88 ],[331.91477,88 ],[331.91721,88 ],[331.91965,89 ],[331.92210,90 ],[331.92454,91 ],[331.92698,91 ],[331.92942,90 ],[331.93186,89 ],[331.93431,87 ],[331.93675,87 ],[331.93919,88 ],[331.94163,88 ],[331.94407,86 ],[331.94652,84 ],[331.94896,83 ],[331.95140,83 ],[331.95384,84 ],[331.95628,86 ],[331.95873,88 ],[331.96117,90 ],[331.96361,91 ],[331.96605,93 ],[331.96849,94 ],[331.97094,94 ],[331.97338,93 ],[331.97582,92 ],[331.97826,91 ],[331.98070,91 ],[331.98315,90 ],[331.98559,89 ],[331.98803,87 ],[331.99047,84 ],[331.99291,80 ],[331.99536,75 ],[331.99780,69 ],[332.00024,62 ],[332.00268,56 ],[332.00512,50 ],[332.00757,44 ],[332.01001,40 ],[332.01245,37 ],[332.01489,36 ],[332.01733,35 ],[332.01978,35 ],[332.02222,36 ],[332.02466,38 ],[332.02710,41 ],[332.02954,44 ],[332.03199,47 ],[332.03443,48 ],[332.03687,48 ],[332.03931,49 ],[332.04175,51 ],[332.04420,53 ],[332.04664,54 ],[332.04908,54 ],[332.05152,54 ],[332.05396,54 ],[332.05641,54 ],[332.05885,52 ],[332.06129,52 ],[332.06373,51 ],[332.06617,49 ],[332.06862,48 ],[332.07106,48 ],[332.07350,50 ],[332.07594,51 ],[332.07838,53 ],[332.08083,54 ],[332.08327,54 ],[332.08571,53 ],[332.08815,53 ],[332.09059,54 ],[332.09304,56 ],[332.09548,57 ],[332.09792,58 ],[332.10036,58 ],[332.10280,58 ],[332.10525,57 ],[332.10769,55 ],[332.11013,52 ],[332.11257,51 ],[332.11501,51 ],[332.11746,52 ],[332.11990,53 ],[332.12234,53 ],[332.12478,52 ],[332.12722,52 ],[332.12967,53 ],[332.13211,53 ],[332.13455,51 ],[332.13699,46 ],[332.13943,41 ],[332.14188,35 ],[332.14432,30 ],[332.14676,26 ],[332.14920,25 ],[332.15164,26 ],[332.15409,26 ],[332.15653,26 ],[332.15897,26 ],[332.16141,28 ],[332.16385,29 ],[332.16630,29 ],[332.16874,28 ],[332.17118,27 ],[332.17362,25 ],[332.17606,24 ],[332.17851,24 ],[332.18095,22 ],[332.18339,19 ],[332.18583,15 ],[332.18827,12 ],[332.19072,9 ],[332.19316,5 ],[332.19560,-1 ],[332.19804,-7 ],[332.20048,-13 ],[332.20293,-18 ],[332.20537,-22 ],[332.20781,-27 ],[332.21025,-32 ],[332.21269,-37 ],[332.21514,-41 ],[332.21758,-44 ],[332.22002,-46 ],[332.22246,-48 ],[332.22490,-51 ],[332.22735,-54 ],[332.22979,-57 ],[332.23223,-60 ],[332.23467,-64 ],[332.23711,-66 ],[332.23956,-68 ],[332.24200,-70 ],[332.24444,-73 ],[332.24688,-78 ],[332.24932,-82 ],[332.25177,-87 ],[332.25421,-91 ],[332.25665,-94 ],[332.25909,-96 ],[332.26153,-99 ],[332.26398,-101 ],[332.26642,-100 ],[332.26886,-98 ],[332.27130,-95 ],[332.27374,-92 ],[332.27619,-89 ],[332.27863,-88 ],[332.28107,-87 ],[332.28351,-88 ],[332.28595,-89 ],[332.28840,-91 ],[332.29084,-93 ],[332.29328,-96 ],[332.29572,-99 ],[332.29816,-103 ],[332.30061,-107 ],[332.30305,-112 ],[332.30549,-118 ],[332.30793,-127 ],[332.31037,-135 ],[332.31282,-143 ],[332.31526,-151 ],[332.31770,-160 ],[332.32014,-168 ],[332.32258,-175 ],[332.32503,-183 ],[332.32747,-191 ],[332.32991,-197 ],[332.33235,-202 ],[332.33479,-207 ],[332.33724,-211 ],[332.33968,-217 ],[332.34212,-222 ],[332.34456,-229 ],[332.34700,-236 ],[332.34945,-244 ],[332.35189,-252 ],[332.35433,-258 ],[332.35677,-265 ],[332.35921,-272 ],[332.36166,-280 ],[332.36410,-286 ],[332.36654,-293 ],[332.36898,-301 ],[332.37142,-311 ],[332.37387,-322 ],[332.37631,-332 ],[332.37875,-343 ],[332.38119,-354 ],[332.38363,-364 ],[332.38608,-372 ],[332.38852,-381 ],[332.39096,-389 ],[332.39340,-395 ],[332.39584,-402 ],[332.39829,-411 ],[332.40073,-421 ],[332.40317,-430 ],[332.40561,-439 ],[332.40805,-449 ],[332.41050,-461 ],[332.41294,-472 ],[332.41538,-485 ],[332.41782,-498 ],[332.42026,-510 ],[332.42271,-522 ],[332.42515,-534 ],[332.42759,-550 ],[332.43003,-568 ],[332.43247,-588 ],[332.43492,-608 ],[332.43736,-629 ],[332.43980,-649 ],[332.44224,-669 ],[332.44468,-689 ],[332.44713,-709 ],[332.44957,-727 ],[332.45201,-748 ],[332.45445,-770 ],[332.45689,-792 ],[332.45934,-815 ],[332.46178,-838 ],[332.46422,-862 ],[332.46666,-885 ],[332.46910,-907 ],[332.47155,-930 ],[332.47399,-953 ],[332.47643,-976 ],[332.47887,-997 ],[332.48131,-1018 ],[332.48376,-1039 ],[332.48620,-1060 ],[332.48864,-1081 ],[332.49108,-1103 ],[332.49352,-1127 ],[332.49597,-1151 ],[332.49841,-1177 ],[332.50085,-1202 ],[332.50329,-1226 ],[332.50573,-1249 ],[332.50818,-1272 ],[332.51062,-1293 ],[332.51306,-1314 ],[332.51550,-1331 ],[332.51794,-1346 ],[332.52039,-1360 ],[332.52283,-1372 ],[332.52527,-1381 ],[332.52771,-1387 ],[332.53015,-1395 ],[332.53260,-1402 ],[332.53504,-1405 ],[332.53748,-1405 ],[332.53992,-1402 ],[332.54236,-1396 ],[332.54481,-1386 ],[332.54725,-1372 ],[332.54969,-1353 ],[332.55213,-1331 ],[332.55457,-1307 ],[332.55702,-1278 ],[332.55946,-1248 ],[332.56190,-1213 ],[332.56434,-1176 ],[332.56678,-1133 ],[332.56923,-1085 ],[332.57167,-1033 ],[332.57411,-978 ],[332.57655,-920 ],[332.57899,-857 ],[332.58144,-791 ],[332.58388,-721 ],[332.58632,-648 ],[332.58876,-572 ],[332.59120,-494 ],[332.59365,-414 ],[332.59609,-334 ],[332.59853,-251 ],[332.60097,-165 ],[332.60341,-79 ],[332.60586,7 ],[332.60830,93 ],[332.61074,177 ],[332.61318,260 ],[332.61562,343 ],[332.61807,422 ],[332.62051,498 ],[332.62295,572 ],[332.62539,642 ],[332.62783,710 ],[332.63028,777 ],[332.63272,841 ],[332.63516,904 ],[332.63760,963 ],[332.64004,1018 ],[332.64249,1069 ],[332.64493,1118 ],[332.64737,1165 ],[332.64981,1207 ],[332.65225,1245 ],[332.65470,1279 ],[332.65714,1309 ],[332.65958,1334 ],[332.66202,1356 ],[332.66446,1374 ],[332.66691,1388 ],[332.66935,1398 ],[332.67179,1406 ],[332.67423,1412 ],[332.67667,1416 ],[332.67912,1419 ],[332.68156,1419 ],[332.68400,1416 ],[332.68644,1411 ],[332.68888,1405 ],[332.69133,1396 ],[332.69377,1384 ],[332.69621,1370 ],[332.69865,1354 ],[332.70109,1338 ],[332.70354,1321 ],[332.70598,1303 ],[332.70842,1284 ],[332.71086,1263 ],[332.71330,1243 ],[332.71575,1222 ],[332.71819,1201 ],[332.72063,1179 ],[332.72307,1157 ],[332.72551,1135 ],[332.72796,1114 ],[332.73040,1094 ],[332.73284,1074 ],[332.73528,1055 ],[332.73772,1036 ],[332.74017,1018 ],[332.74261,1000 ],[332.74505,983 ],[332.74749,967 ],[332.74993,950 ],[332.75238,933 ],[332.75482,916 ],[332.75726,899 ],[332.75970,883 ],[332.76214,867 ],[332.76459,851 ],[332.76703,835 ],[332.76947,820 ],[332.77191,805 ],[332.77435,789 ],[332.77680,774 ],[332.77924,759 ],[332.78168,744 ],[332.78412,731 ],[332.78656,719 ],[332.78901,708 ],[332.79145,696 ],[332.79389,684 ],[332.79633,672 ],[332.79877,660 ],[332.80122,648 ],[332.80366,636 ],[332.80610,626 ],[332.80854,618 ],[332.81098,611 ],[332.81343,603 ],[332.81587,595 ],[332.81831,587 ],[332.82075,577 ],[332.82319,567 ],[332.82564,556 ],[332.82808,544 ],[332.83052,534 ],[332.83296,524 ],[332.83540,514 ],[332.83785,505 ],[332.84029,496 ],[332.84273,489 ],[332.84517,480 ],[332.84761,472 ],[332.85006,463 ],[332.85250,453 ],[332.85494,444 ],[332.85738,436 ],[332.85982,427 ],[332.86227,418 ],[332.86471,411 ],[332.86715,407 ],[332.86959,401 ],[332.87203,396 ],[332.87448,391 ],[332.87692,386 ],[332.87936,381 ],[332.88180,378 ],[332.88424,375 ],[332.88669,371 ],[332.88913,365 ],[332.89157,359 ],[332.89401,353 ],[332.89645,348 ],[332.89890,343 ],[332.90134,338 ],[332.90378,332 ],[332.90622,323 ],[332.90866,314 ],[332.91111,304 ],[332.91355,294 ],[332.91599,285 ],[332.91843,279 ],[332.92087,274 ],[332.92332,269 ],[332.92576,266 ],[332.92820,263 ],[332.93064,259 ],[332.93308,254 ],[332.93553,249 ],[332.93797,244 ],[332.94041,238 ],[332.94285,234 ],[332.94529,231 ],[332.94774,228 ],[332.95018,224 ],[332.95262,219 ],[332.95506,214 ],[332.95750,207 ],[332.95995,201 ],[332.96239,195 ],[332.96483,189 ],[332.96727,184 ],[332.96971,180 ],[332.97216,176 ],[332.97460,174 ],[332.97704,173 ],[332.97948,172 ],[332.98192,171 ],[332.98437,170 ],[332.98681,169 ],[332.98925,169 ],[332.99169,169 ],[332.99413,168 ],[332.99658,169 ],[332.99902,172 ],[333.00146,175 ],[333.00390,177 ],[333.00634,179 ],[333.00879,180 ],[333.01123,179 ],[333.01367,179 ],[333.01611,177 ],[333.01855,175 ],[333.02100,172 ],[333.02344,172 ],[333.02588,170 ],[333.02832,168 ],[333.03076,166 ],[333.03321,163 ],[333.03565,159 ],[333.03809,153 ],[333.04053,148 ],[333.04297,145 ],[333.04542,142 ],[333.04786,139 ],[333.05030,136 ],[333.05274,133 ],[333.05518,130 ],[333.05763,130 ],[333.06007,130 ],[333.06251,128 ],[333.06495,126 ],[333.06739,125 ],[333.06984,125 ],[333.07228,124 ],[333.07472,123 ],[333.07716,121 ],[333.07960,120 ],[333.08205,119 ],[333.08449,118 ],[333.08693,117 ],[333.08937,117 ],[333.09181,116 ],[333.09426,113 ],[333.09670,109 ],[333.09914,106 ],[333.10158,104 ],[333.10402,102 ],[333.10647,101 ],[333.10891,99 ],[333.11135,98 ],[333.11379,96 ],[333.11623,96 ],[333.11868,96 ],[333.12112,95 ],[333.12356,94 ],[333.12600,94 ],[333.12844,93 ],[333.13089,92 ],[333.13333,91 ],[333.13577,92 ],[333.13821,94 ],[333.14065,95 ],[333.14310,97 ],[333.14554,97 ],[333.14798,96 ],[333.15042,97 ],[333.15286,99 ],[333.15531,101 ],[333.15775,102 ],[333.16019,103 ],[333.16263,105 ],[333.16507,108 ],[333.16752,111 ],[333.16996,114 ],[333.17240,118 ],[333.17484,122 ],[333.17728,126 ],[333.17973,127 ],[333.18217,129 ],[333.18461,130 ],[333.18705,131 ],[333.18949,130 ],[333.19194,131 ],[333.19438,132 ],[333.19682,130 ],[333.19926,127 ],[333.20170,124 ],[333.20415,123 ],[333.20659,121 ],[333.20903,119 ],[333.21147,117 ],[333.21391,117 ],[333.21636,115 ],[333.21880,115 ],[333.22124,116 ],[333.22368,117 ],[333.22612,119 ],[333.22857,121 ],[333.23101,123 ],[333.23345,125 ],[333.23589,128 ],[333.23833,129 ],[333.24078,131 ],[333.24322,132 ],[333.24566,134 ],[333.24810,135 ],[333.25054,136 ],[333.25299,136 ],[333.25543,135 ],[333.25787,134 ],[333.26031,135 ],[333.26275,136 ],[333.26520,137 ],[333.26764,136 ],[333.27008,135 ],[333.27252,133 ],[333.27496,132 ],[333.27741,132 ],[333.27985,131 ],[333.28229,130 ],[333.28473,129 ],[333.28717,126 ],[333.28962,123 ],[333.29206,120 ],[333.29450,118 ],[333.29694,117 ],[333.29938,117 ],[333.30183,118 ],[333.30427,118 ],[333.30671,119 ],[333.30915,120 ],[333.31159,120 ],[333.31404,119 ],[333.31648,117 ],[333.31892,115 ],[333.32136,112 ],[333.32380,108 ],[333.32625,104 ],[333.32869,98 ],[333.33113,97 ],[333.33357,96 ],[333.33601,94 ],[333.33846,91 ],[333.34090,89 ],[333.34334,88 ],[333.34578,88 ],[333.34822,89 ],[333.35067,90 ],[333.35311,92 ],[333.35555,94 ],[333.35799,94 ],[333.36043,93 ],[333.36288,93 ],[333.36532,92 ],[333.36776,93 ],[333.37020,93 ],[333.37264,93 ],[333.37509,93 ],[333.37753,91 ],[333.37997,89 ],[333.38241,86 ],[333.38485,83 ],[333.38730,80 ],[333.38974,76 ],[333.39218,72 ],[333.39462,70 ],[333.39706,68 ],[333.39951,66 ],[333.40195,63 ],[333.40439,61 ],[333.40683,59 ],[333.40927,56 ],[333.41172,55 ],[333.41416,53 ],[333.41660,52 ],[333.41904,53 ],[333.42148,54 ],[333.42393,56 ],[333.42637,59 ],[333.42881,62 ],[333.43125,64 ],[333.43369,65 ],[333.43614,65 ],[333.43858,66 ],[333.44102,65 ],[333.44346,67 ],[333.44590,68 ],[333.44835,70 ],[333.45079,71 ],[333.45323,72 ],[333.45567,74 ],[333.45811,76 ],[333.46056,78 ],[333.46300,79 ],[333.46544,81 ],[333.46788,83 ],[333.47032,84 ],[333.47277,87 ],[333.47521,90 ],[333.47765,92 ],[333.48009,92 ],[333.48253,91 ],[333.48498,91 ],[333.48742,91 ],[333.48986,90 ],[333.49230,89 ],[333.49474,87 ],[333.49719,84 ],[333.49963,81 ],[333.50207,80 ],[333.50451,79 ],[333.50695,79 ],[333.50940,78 ],[333.51184,77 ],[333.51428,76 ],[333.51672,76 ],[333.51916,75 ],[333.52161,73 ],[333.52405,73 ],[333.52649,74 ],[333.52893,75 ],[333.53137,76 ],[333.53382,77 ],[333.53626,77 ],[333.53870,75 ],[333.54114,74 ],[333.54358,73 ],[333.54603,72 ],[333.54847,70 ],[333.55091,69 ],[333.55335,69 ],[333.55579,67 ],[333.55824,65 ],[333.56068,62 ],[333.56312,62 ],[333.56556,62 ],[333.56800,63 ],[333.57045,66 ],[333.57289,71 ],[333.57533,77 ],[333.57777,82 ],[333.58021,88 ],[333.58266,94 ],[333.58510,100 ],[333.58754,105 ],[333.58998,108 ],[333.59242,110 ],[333.59487,114 ],[333.59731,117 ],[333.59975,118 ],[333.60219,119 ],[333.60463,120 ],[333.60708,120 ],[333.60952,120 ],[333.61196,121 ],[333.61440,121 ],[333.61684,123 ],[333.61929,125 ],[333.62173,127 ],[333.62417,130 ],[333.62661,131 ],[333.62905,133 ],[333.63150,135 ],[333.63394,136 ],[333.63638,136 ],[333.63882,136 ],[333.64126,135 ],[333.64371,134 ],[333.64615,134 ],[333.64859,133 ],[333.65103,133 ],[333.65347,132 ],[333.65592,133 ],[333.65836,133 ],[333.66080,134 ],[333.66324,135 ],[333.66568,134 ],[333.66813,132 ],[333.67057,129 ],[333.67301,126 ],[333.67545,126 ],[333.67789,127 ],[333.68034,127 ],[333.68278,128 ],[333.68522,127 ],[333.68766,127 ],[333.69010,126 ],[333.69255,126 ],[333.69499,127 ],[333.69743,128 ],[333.69987,128 ],[333.70231,128 ],[333.70476,126 ],[333.70720,124 ],[333.70964,124 ],[333.71208,124 ],[333.71452,124 ],[333.71697,125 ],[333.71941,125 ],[333.72185,125 ],[333.72429,126 ],[333.72673,126 ],[333.72918,126 ],[333.73162,127 ],[333.73406,127 ],[333.73650,126 ],[333.73894,125 ],[333.74139,124 ],[333.74383,123 ],[333.74627,120 ],[333.74871,118 ],[333.75115,115 ],[333.75360,112 ],[333.75604,109 ],[333.75848,108 ],[333.76092,105 ],[333.76336,103 ],[333.76581,101 ],[333.76825,99 ],[333.77069,98 ],[333.77313,97 ],[333.77557,95 ],[333.77802,92 ],[333.78046,90 ],[333.78290,88 ],[333.78534,88 ],[333.78778,87 ],[333.79023,88 ],[333.79267,88 ],[333.79511,89 ],[333.79755,90 ],[333.8,92 ],[333.80244,94 ],[333.80488,97 ],[333.80732,99 ],[333.80976,100 ],[333.81221,102 ],[333.81465,103 ],[333.81709,106 ],[333.81953,108 ],[333.82197,111 ],[333.82442,113 ],[333.82686,116 ],[333.82930,119 ],[333.83174,121 ],[333.83418,122 ],[333.83663,121 ],[333.83907,121 ],[333.84151,119 ],[333.84395,118 ],[333.84639,117 ],[333.84884,116 ],[333.85128,116 ],[333.85372,114 ],[333.85616,112 ],[333.85860,110 ],[333.86105,107 ],[333.86349,103 ],[333.86593,99 ],[333.86837,98 ],[333.87081,97 ],[333.87326,97 ],[333.87570,98 ],[333.87814,99 ],[333.88058,100 ],[333.88302,101 ],[333.88547,101 ],[333.88791,101 ],[333.89035,100 ],[333.89279,100 ],[333.89523,101 ],[333.89768,101 ],[333.90012,102 ],[333.90256,103 ],[333.90500,103 ],[333.90744,102 ],[333.90989,101 ],[333.91233,104 ],[333.91477,106 ],[333.91721,109 ],[333.91965,112 ],[333.92210,114 ],[333.92454,116 ],[333.92698,117 ],[333.92942,117 ],[333.93186,115 ],[333.93431,114 ],[333.93675,114 ],[333.93919,114 ],[333.94163,114 ],[333.94407,112 ],[333.94652,111 ],[333.94896,113 ],[333.95140,114 ],[333.95384,113 ],[333.95628,112 ],[333.95873,113 ],[333.96117,113 ],[333.96361,114 ],[333.96605,115 ],[333.96849,115 ],[333.97094,115 ],[333.97338,116 ],[333.97582,117 ],[333.97826,119 ],[333.98070,119 ],[333.98315,120 ],[333.98559,119 ],[333.98803,120 ],[333.99047,120 ],[333.99291,119 ],[333.99536,118 ],[333.99780,116 ],[334.00024,116 ],[334.00268,115 ],[334.00512,114 ],[334.00757,114 ],[334.01001,115 ],[334.01245,117 ],[334.01489,120 ],[334.01733,122 ],[334.01978,124 ],[334.02222,126 ],[334.02466,128 ],[334.02710,130 ],[334.02954,130 ],[334.03199,132 ],[334.03443,134 ],[334.03687,135 ],[334.03931,136 ],[334.04175,137 ],[334.04420,138 ],[334.04664,138 ],[334.04908,139 ],[334.05152,140 ],[334.05396,141 ],[334.05641,142 ],[334.05885,144 ],[334.06129,145 ],[334.06373,145 ],[334.06617,143 ],[334.06862,140 ],[334.07106,138 ],[334.07350,136 ],[334.07594,135 ],[334.07838,133 ],[334.08083,131 ],[334.08327,130 ],[334.08571,130 ],[334.08815,128 ],[334.09059,127 ],[334.09304,126 ],[334.09548,126 ],[334.09792,124 ],[334.10036,123 ],[334.10280,121 ],[334.10525,119 ],[334.10769,116 ],[334.11013,114 ],[334.11257,111 ],[334.11501,109 ],[334.11746,108 ],[334.11990,107 ],[334.12234,105 ],[334.12478,102 ],[334.12722,99 ],[334.12967,96 ],[334.13211,94 ],[334.13455,92 ],[334.13699,91 ],[334.13943,92 ],[334.14188,95 ],[334.14432,98 ],[334.14676,100 ],[334.14920,101 ],[334.15164,101 ],[334.15409,101 ],[334.15653,101 ],[334.15897,101 ],[334.16141,102 ],[334.16385,104 ],[334.16630,105 ],[334.16874,106 ],[334.17118,108 ],[334.17362,110 ],[334.17606,111 ],[334.17851,112 ],[334.18095,114 ],[334.18339,115 ],[334.18583,115 ],[334.18827,113 ],[334.19072,112 ],[334.19316,111 ],[334.19560,110 ],[334.19804,110 ],[334.20048,109 ],[334.20293,107 ],[334.20537,104 ],[334.20781,103 ],[334.21025,104 ],[334.21269,103 ],[334.21514,103 ],[334.21758,102 ],[334.22002,101 ],[334.22246,99 ],[334.22490,98 ],[334.22735,99 ],[334.22979,100 ],[334.23223,102 ],[334.23467,105 ],[334.23711,106 ],[334.23956,106 ],[334.24200,107 ],[334.24444,107 ],[334.24688,107 ],[334.24932,108 ],[334.25177,109 ],[334.25421,111 ],[334.25665,112 ],[334.25909,113 ],[334.26153,112 ],[334.26398,109 ],[334.26642,107 ],[334.26886,107 ],[334.27130,108 ],[334.27374,110 ],[334.27619,111 ],[334.27863,112 ],[334.28107,112 ],[334.28351,111 ],[334.28595,110 ],[334.28840,109 ],[334.29084,107 ],[334.29328,106 ],[334.29572,104 ],[334.29816,103 ],[334.30061,102 ],[334.30305,101 ],[334.30549,99 ],[334.30793,96 ],[334.31037,95 ],[334.31282,94 ],[334.31526,94 ],[334.31770,93 ],[334.32014,91 ],[334.32258,90 ],[334.32503,90 ],[334.32747,90 ],[334.32991,89 ],[334.33235,86 ],[334.33479,80 ],[334.33724,73 ],[334.33968,67 ],[334.34212,64 ],[334.34456,61 ],[334.34700,58 ],[334.34945,56 ],[334.35189,53 ],[334.35433,52 ],[334.35677,52 ],[334.35921,53 ],[334.36166,55 ],[334.36410,56 ],[334.36654,57 ],[334.36898,56 ],[334.37142,57 ],[334.37387,55 ],[334.37631,54 ],[334.37875,53 ],[334.38119,53 ],[334.38363,53 ],[334.38608,52 ],[334.38852,50 ],[334.39096,48 ],[334.39340,48 ],[334.39584,49 ],[334.39829,51 ],[334.40073,52 ],[334.40317,53 ],[334.40561,54 ],[334.40805,53 ],[334.41050,52 ],[334.41294,51 ],[334.41538,52 ],[334.41782,52 ],[334.42026,54 ],[334.42271,56 ],[334.42515,60 ],[334.42759,62 ],[334.43003,66 ],[334.43247,69 ],[334.43492,73 ],[334.43736,78 ],[334.43980,82 ],[334.44224,85 ],[334.44468,87 ],[334.44713,88 ],[334.44957,88 ],[334.45201,87 ],[334.45445,86 ],[334.45689,84 ],[334.45934,81 ],[334.46178,78 ],[334.46422,76 ],[334.46666,74 ],[334.46910,73 ],[334.47155,72 ],[334.47399,71 ],[334.47643,72 ],[334.47887,73 ],[334.48131,74 ],[334.48376,74 ],[334.48620,76 ],[334.48864,79 ],[334.49108,82 ],[334.49352,86 ],[334.49597,88 ],[334.49841,92 ],[334.50085,96 ],[334.50329,100 ],[334.50573,104 ],[334.50818,108 ],[334.51062,112 ],[334.51306,116 ],[334.51550,118 ],[334.51794,120 ],[334.52039,119 ],[334.52283,118 ],[334.52527,116 ],[334.52771,112 ],[334.53015,107 ],[334.53260,102 ],[334.53504,99 ],[334.53748,96 ],[334.53992,94 ],[334.54236,93 ],[334.54481,92 ],[334.54725,91 ],[334.54969,88 ],[334.55213,86 ],[334.55457,84 ],[334.55702,82 ],[334.55946,81 ],[334.56190,81 ],[334.56434,82 ],[334.56678,83 ],[334.56923,84 ],[334.57167,84 ],[334.57411,83 ],[334.57655,82 ],[334.57899,83 ],[334.58144,83 ],[334.58388,83 ],[334.58632,83 ],[334.58876,82 ],[334.59120,83 ],[334.59365,84 ],[334.59609,85 ],[334.59853,85 ],[334.60097,86 ],[334.60341,88 ],[334.60586,89 ],[334.60830,90 ],[334.61074,90 ],[334.61318,92 ],[334.61562,94 ],[334.61807,97 ],[334.62051,100 ],[334.62295,102 ],[334.62539,106 ],[334.62783,111 ],[334.63028,114 ],[334.63272,114 ],[334.63516,114 ],[334.63760,115 ],[334.64004,116 ],[334.64249,116 ],[334.64493,117 ],[334.64737,120 ],[334.64981,122 ],[334.65225,124 ],[334.65470,124 ],[334.65714,124 ],[334.65958,122 ],[334.66202,119 ],[334.66446,114 ],[334.66691,108 ],[334.66935,104 ],[334.67179,102 ],[334.67423,102 ],[334.67667,103 ],[334.67912,103 ],[334.68156,102 ],[334.68400,103 ],[334.68644,104 ],[334.68888,106 ],[334.69133,108 ],[334.69377,107 ],[334.69621,105 ],[334.69865,102 ],[334.70109,99 ],[334.70354,97 ],[334.70598,96 ],[334.70842,95 ],[334.71086,94 ],[334.71330,95 ],[334.71575,97 ],[334.71819,97 ],[334.72063,98 ],[334.72307,100 ],[334.72551,102 ],[334.72796,103 ],[334.73040,104 ],[334.73284,106 ],[334.73528,108 ],[334.73772,110 ],[334.74017,111 ],[334.74261,114 ],[334.74505,117 ],[334.74749,120 ],[334.74993,124 ],[334.75238,128 ],[334.75482,131 ],[334.75726,135 ],[334.75970,139 ],[334.76214,140 ],[334.76459,142 ],[334.76703,143 ],[334.76947,144 ],[334.77191,147 ],[334.77435,149 ],[334.77680,151 ],[334.77924,152 ],[334.78168,151 ],[334.78412,149 ],[334.78656,148 ],[334.78901,147 ],[334.79145,147 ],[334.79389,146 ],[334.79633,145 ],[334.79877,144 ],[334.80122,144 ],[334.80366,142 ],[334.80610,140 ],[334.80854,139 ],[334.81098,137 ],[334.81343,135 ],[334.81587,133 ],[334.81831,131 ],[334.82075,129 ],[334.82319,129 ],[334.82564,128 ],[334.82808,127 ],[334.83052,124 ],[334.83296,122 ],[334.83540,120 ],[334.83785,117 ],[334.84029,116 ],[334.84273,115 ],[334.84517,115 ],[334.84761,114 ],[334.85006,112 ],[334.85250,111 ],[334.85494,110 ],[334.85738,109 ],[334.85982,108 ],[334.86227,106 ],[334.86471,105 ],[334.86715,105 ],[334.86959,106 ],[334.87203,108 ],[334.87448,111 ],[334.87692,114 ],[334.87936,119 ],[334.88180,125 ],[334.88424,131 ],[334.88669,135 ],[334.88913,139 ],[334.89157,142 ],[334.89401,144 ],[334.89645,145 ],[334.89890,145 ],[334.90134,146 ],[334.90378,145 ],[334.90622,143 ],[334.90866,140 ],[334.91111,138 ],[334.91355,136 ],[334.91599,135 ],[334.91843,136 ],[334.92087,137 ],[334.92332,138 ],[334.92576,140 ],[334.92820,143 ],[334.93064,146 ],[334.93308,148 ],[334.93553,150 ],[334.93797,153 ],[334.94041,155 ],[334.94285,155 ],[334.94529,154 ],[334.94774,153 ],[334.95018,151 ],[334.95262,150 ],[334.95506,148 ],[334.95750,147 ],[334.95995,144 ],[334.96239,141 ],[334.96483,139 ],[334.96727,136 ],[334.96971,133 ],[334.97216,131 ],[334.97460,131 ],[334.97704,130 ],[334.97948,128 ],[334.98192,127 ],[334.98437,125 ],[334.98681,123 ],[334.98925,121 ],[334.99169,119 ],[334.99413,117 ],[334.99658,114 ],[334.99902,113 ],[335.00146,113 ],[335.00390,113 ],[335.00634,114 ],[335.00879,114 ],[335.01123,114 ],[335.01367,112 ],[335.01611,111 ],[335.01855,110 ],[335.02100,109 ],[335.02344,110 ],[335.02588,110 ],[335.02832,111 ],[335.03076,110 ],[335.03321,109 ],[335.03565,108 ],[335.03809,107 ],[335.04053,106 ],[335.04297,103 ],[335.04542,101 ],[335.04786,99 ],[335.05030,97 ],[335.05274,95 ],[335.05518,94 ],[335.05763,94 ],[335.06007,94 ],[335.06251,97 ],[335.06495,100 ],[335.06739,103 ],[335.06984,103 ],[335.07228,104 ],[335.07472,105 ],[335.07716,106 ],[335.07960,107 ],[335.08205,107 ],[335.08449,107 ],[335.08693,106 ],[335.08937,104 ],[335.09181,103 ],[335.09426,100 ],[335.09670,99 ],[335.09914,97 ],[335.10158,93 ],[335.10402,90 ],[335.10647,88 ],[335.10891,85 ],[335.11135,83 ],[335.11379,81 ],[335.11623,80 ],[335.11868,78 ],[335.12112,78 ],[335.12356,78 ],[335.12600,77 ],[335.12844,76 ],[335.13089,77 ],[335.13333,78 ],[335.13577,79 ],[335.13821,78 ],[335.14065,79 ],[335.14310,79 ],[335.14554,76 ],[335.14798,74 ],[335.15042,73 ],[335.15286,73 ],[335.15531,72 ],[335.15775,73 ],[335.16019,73 ],[335.16263,73 ],[335.16507,73 ],[335.16752,72 ],[335.16996,73 ],[335.17240,73 ],[335.17484,75 ],[335.17728,77 ],[335.17973,78 ],[335.18217,80 ],[335.18461,83 ],[335.18705,87 ],[335.18949,92 ],[335.19194,98 ],[335.19438,103 ],[335.19682,108 ],[335.19926,115 ],[335.20170,121 ],[335.20415,129 ],[335.20659,135 ],[335.20903,139 ],[335.21147,141 ],[335.21391,143 ],[335.21636,144 ],[335.21880,145 ],[335.22124,144 ],[335.22368,143 ],[335.22612,140 ],[335.22857,137 ],[335.23101,134 ],[335.23345,131 ],[335.23589,128 ],[335.23833,124 ],[335.24078,121 ],[335.24322,120 ],[335.24566,120 ],[335.24810,119 ],[335.25054,118 ],[335.25299,118 ],[335.25543,119 ],[335.25787,119 ],[335.26031,118 ],[335.26275,118 ],[335.26520,117 ],[335.26764,115 ],[335.27008,114 ],[335.27252,112 ],[335.27496,111 ],[335.27741,111 ],[335.27985,110 ],[335.28229,110 ],[335.28473,111 ],[335.28717,112 ],[335.28962,111 ],[335.29206,112 ],[335.29450,112 ],[335.29694,111 ],[335.29938,109 ],[335.30183,107 ],[335.30427,105 ],[335.30671,105 ],[335.30915,107 ],[335.31159,110 ],[335.31404,113 ],[335.31648,116 ],[335.31892,118 ],[335.32136,121 ],[335.32380,123 ],[335.32625,123 ],[335.32869,123 ],[335.33113,123 ],[335.33357,123 ],[335.33601,121 ],[335.33846,120 ],[335.34090,118 ],[335.34334,118 ],[335.34578,118 ],[335.34822,119 ],[335.35067,120 ],[335.35311,120 ],[335.35555,120 ],[335.35799,121 ],[335.36043,122 ],[335.36288,122 ],[335.36532,121 ],[335.36776,120 ],[335.37020,118 ],[335.37264,116 ],[335.37509,116 ],[335.37753,116 ],[335.37997,116 ],[335.38241,116 ],[335.38485,117 ],[335.38730,119 ],[335.38974,121 ],[335.39218,123 ],[335.39462,124 ],[335.39706,124 ],[335.39951,124 ],[335.40195,121 ],[335.40439,118 ],[335.40683,117 ],[335.40927,116 ],[335.41172,114 ],[335.41416,112 ],[335.41660,111 ],[335.41904,112 ],[335.42148,114 ],[335.42393,115 ],[335.42637,116 ],[335.42881,118 ],[335.43125,118 ],[335.43369,117 ],[335.43614,118 ],[335.43858,119 ],[335.44102,120 ],[335.44346,123 ],[335.44590,125 ],[335.44835,129 ],[335.45079,132 ],[335.45323,134 ],[335.45567,135 ],[335.45811,135 ],[335.46056,135 ],[335.46300,135 ],[335.46544,135 ],[335.46788,135 ],[335.47032,133 ],[335.47277,132 ],[335.47521,131 ],[335.47765,131 ],[335.48009,130 ],[335.48253,128 ],[335.48498,126 ],[335.48742,123 ],[335.48986,120 ],[335.49230,115 ],[335.49474,110 ],[335.49719,106 ],[335.49963,103 ],[335.50207,101 ],[335.50451,100 ],[335.50695,100 ],[335.50940,99 ],[335.51184,97 ],[335.51428,94 ],[335.51672,91 ],[335.51916,88 ],[335.52161,88 ],[335.52405,90 ],[335.52649,92 ],[335.52893,95 ],[335.53137,98 ],[335.53382,101 ],[335.53626,103 ],[335.53870,105 ],[335.54114,106 ],[335.54358,109 ],[335.54603,112 ],[335.54847,113 ],[335.55091,115 ],[335.55335,118 ],[335.55579,119 ],[335.55824,120 ],[335.56068,121 ],[335.56312,122 ],[335.56556,123 ],[335.56800,123 ],[335.57045,124 ],[335.57289,126 ],[335.57533,127 ],[335.57777,127 ],[335.58021,128 ],[335.58266,128 ],[335.58510,129 ],[335.58754,129 ],[335.58998,130 ],[335.59242,133 ],[335.59487,134 ],[335.59731,133 ],[335.59975,133 ],[335.60219,133 ],[335.60463,131 ],[335.60708,130 ],[335.60952,127 ],[335.61196,125 ],[335.61440,123 ],[335.61684,120 ],[335.61929,117 ],[335.62173,114 ],[335.62417,113 ],[335.62661,112 ],[335.62905,112 ],[335.63150,111 ],[335.63394,110 ],[335.63638,110 ],[335.63882,112 ],[335.64126,114 ],[335.64371,118 ],[335.64615,118 ],[335.64859,118 ],[335.65103,118 ],[335.65347,117 ],[335.65592,116 ],[335.65836,113 ],[335.66080,110 ],[335.66324,109 ],[335.66568,105 ],[335.66813,100 ],[335.67057,95 ],[335.67301,92 ],[335.67545,91 ],[335.67789,90 ],[335.68034,88 ],[335.68278,86 ],[335.68522,84 ],[335.68766,84 ],[335.69010,85 ],[335.69255,85 ],[335.69499,83 ],[335.69743,81 ],[335.69987,80 ],[335.70231,78 ],[335.70476,77 ],[335.70720,75 ],[335.70964,73 ],[335.71208,70 ],[335.71452,67 ],[335.71697,65 ],[335.71941,62 ],[335.72185,61 ],[335.72429,61 ],[335.72673,61 ],[335.72918,59 ],[335.73162,56 ],[335.73406,55 ],[335.73650,57 ],[335.73894,59 ],[335.74139,61 ],[335.74383,62 ],[335.74627,60 ],[335.74871,59 ],[335.75115,57 ],[335.75360,54 ],[335.75604,51 ],[335.75848,50 ],[335.76092,49 ],[335.76336,46 ],[335.76581,44 ],[335.76825,41 ],[335.77069,40 ],[335.77313,40 ],[335.77557,42 ],[335.77802,44 ],[335.78046,47 ],[335.78290,48 ],[335.78534,49 ],[335.78778,50 ],[335.79023,50 ],[335.79267,50 ],[335.79511,50 ],[335.79755,51 ],[335.8,54 ],[335.80244,58 ],[335.80488,62 ],[335.80732,65 ],[335.80976,67 ],[335.81221,70 ],[335.81465,74 ],[335.81709,78 ],[335.81953,82 ],[335.82197,86 ],[335.82442,91 ],[335.82686,97 ],[335.82930,102 ],[335.83174,106 ],[335.83418,110 ],[335.83663,112 ],[335.83907,112 ],[335.84151,111 ],[335.84395,109 ],[335.84639,107 ],[335.84884,107 ],[335.85128,107 ],[335.85372,108 ],[335.85616,109 ],[335.85860,109 ],[335.86105,110 ],[335.86349,109 ],[335.86593,107 ],[335.86837,106 ],[335.87081,105 ],[335.87326,105 ],[335.87570,105 ],[335.87814,104 ],[335.88058,103 ],[335.88302,102 ],[335.88547,101 ],[335.88791,100 ],[335.89035,99 ],[335.89279,98 ],[335.89523,97 ],[335.89768,96 ],[335.90012,96 ],[335.90256,98 ],[335.90500,99 ],[335.90744,101 ],[335.90989,103 ],[335.91233,105 ],[335.91477,106 ],[335.91721,108 ],[335.91965,108 ],[335.92210,107 ],[335.92454,104 ],[335.92698,104 ],[335.92942,104 ],[335.93186,105 ],[335.93431,107 ],[335.93675,109 ],[335.93919,110 ],[335.94163,111 ],[335.94407,109 ],[335.94652,108 ],[335.94896,107 ],[335.95140,107 ],[335.95384,108 ],[335.95628,108 ],[335.95873,107 ],[335.96117,105 ],[335.96361,105 ],[335.96605,102 ],[335.96849,100 ],[335.97094,99 ],[335.97338,99 ],[335.97582,101 ],[335.97826,103 ],[335.98070,105 ],[335.98315,105 ],[335.98559,105 ],[335.98803,104 ],[335.99047,103 ],[335.99291,103 ],[335.99536,102 ],[335.99780,101 ],[336.00024,103 ],[336.00268,106 ],[336.00512,108 ],[336.00757,111 ],[336.01001,113 ],[336.01245,115 ],[336.01489,118 ],[336.01733,120 ],[336.01978,121 ],[336.02222,122 ],[336.02466,125 ],[336.02710,128 ],[336.02954,131 ],[336.03199,131 ],[336.03443,130 ],[336.03687,129 ],[336.03931,128 ],[336.04175,127 ],[336.04420,125 ],[336.04664,122 ],[336.04908,120 ],[336.05152,118 ],[336.05396,116 ],[336.05641,114 ],[336.05885,111 ],[336.06129,109 ],[336.06373,109 ],[336.06617,109 ],[336.06862,109 ],[336.07106,109 ],[336.07350,109 ],[336.07594,111 ],[336.07838,111 ],[336.08083,111 ],[336.08327,111 ],[336.08571,112 ],[336.08815,113 ],[336.09059,115 ],[336.09304,115 ],[336.09548,115 ],[336.09792,114 ],[336.10036,113 ],[336.10280,112 ],[336.10525,111 ],[336.10769,109 ],[336.11013,107 ],[336.11257,104 ],[336.11501,103 ],[336.11746,104 ],[336.11990,104 ],[336.12234,104 ],[336.12478,105 ],[336.12722,106 ],[336.12967,108 ],[336.13211,110 ],[336.13455,111 ],[336.13699,114 ],[336.13943,117 ],[336.14188,121 ],[336.14432,124 ],[336.14676,129 ],[336.14920,133 ],[336.15164,135 ],[336.15409,136 ],[336.15653,137 ],[336.15897,138 ],[336.16141,139 ],[336.16385,140 ],[336.16630,142 ],[336.16874,145 ],[336.17118,146 ],[336.17362,150 ],[336.17606,154 ],[336.17851,157 ],[336.18095,160 ],[336.18339,163 ],[336.18583,165 ],[336.18827,164 ],[336.19072,165 ],[336.19316,163 ],[336.19560,162 ],[336.19804,160 ],[336.20048,160 ],[336.20293,161 ],[336.20537,162 ],[336.20781,163 ],[336.21025,163 ],[336.21269,164 ],[336.21514,165 ],[336.21758,164 ],[336.22002,164 ],[336.22246,163 ],[336.22490,160 ],[336.22735,159 ],[336.22979,157 ],[336.23223,154 ],[336.23467,151 ],[336.23711,149 ],[336.23956,146 ],[336.24200,143 ],[336.24444,140 ],[336.24688,136 ],[336.24932,132 ],[336.25177,127 ],[336.25421,121 ],[336.25665,116 ],[336.25909,109 ],[336.26153,102 ],[336.26398,96 ],[336.26642,90 ],[336.26886,85 ],[336.27130,81 ],[336.27374,77 ],[336.27619,74 ],[336.27863,73 ],[336.28107,72 ],[336.28351,70 ],[336.28595,68 ],[336.28840,65 ],[336.29084,62 ],[336.29328,63 ],[336.29572,64 ],[336.29816,66 ],[336.30061,67 ],[336.30305,68 ],[336.30549,70 ],[336.30793,71 ],[336.31037,72 ],[336.31282,70 ],[336.31526,68 ],[336.31770,66 ],[336.32014,64 ],[336.32258,63 ],[336.32503,62 ],[336.32747,62 ],[336.32991,60 ],[336.33235,59 ],[336.33479,58 ],[336.33724,58 ],[336.33968,58 ],[336.34212,58 ],[336.34456,57 ],[336.34700,55 ],[336.34945,53 ],[336.35189,51 ],[336.35433,49 ],[336.35677,46 ],[336.35921,44 ],[336.36166,44 ],[336.36410,45 ],[336.36654,47 ],[336.36898,49 ],[336.37142,51 ],[336.37387,55 ],[336.37631,59 ],[336.37875,61 ],[336.38119,64 ],[336.38363,67 ],[336.38608,70 ],[336.38852,74 ],[336.39096,76 ],[336.39340,77 ],[336.39584,77 ],[336.39829,78 ],[336.40073,77 ],[336.40317,75 ],[336.40561,73 ],[336.40805,71 ],[336.41050,70 ],[336.41294,68 ],[336.41538,66 ],[336.41782,63 ],[336.42026,59 ],[336.42271,55 ],[336.42515,51 ],[336.42759,49 ],[336.43003,47 ],[336.43247,45 ],[336.43492,44 ],[336.43736,41 ],[336.43980,40 ],[336.44224,41 ],[336.44468,42 ],[336.44713,42 ],[336.44957,43 ],[336.45201,44 ],[336.45445,47 ],[336.45689,50 ],[336.45934,53 ],[336.46178,55 ],[336.46422,56 ],[336.46666,56 ],[336.46910,56 ],[336.47155,58 ],[336.47399,59 ],[336.47643,62 ],[336.47887,64 ],[336.48131,66 ],[336.48376,66 ],[336.48620,67 ],[336.48864,68 ],[336.49108,68 ],[336.49352,68 ],[336.49597,67 ],[336.49841,66 ],[336.50085,66 ],[336.50329,67 ],[336.50573,67 ],[336.50818,66 ],[336.51062,64 ],[336.51306,61 ],[336.51550,58 ],[336.51794,54 ],[336.52039,52 ],[336.52283,52 ],[336.52527,53 ],[336.52771,52 ],[336.53015,51 ],[336.53260,49 ],[336.53504,49 ],[336.53748,48 ],[336.53992,47 ],[336.54236,46 ],[336.54481,44 ],[336.54725,44 ],[336.54969,44 ],[336.55213,42 ],[336.55457,38 ],[336.55702,36 ],[336.55946,34 ],[336.56190,33 ],[336.56434,32 ],[336.56678,30 ],[336.56923,29 ],[336.57167,28 ],[336.57411,27 ],[336.57655,26 ],[336.57899,26 ],[336.58144,25 ],[336.58388,24 ],[336.58632,23 ],[336.58876,24 ],[336.59120,25 ],[336.59365,25 ],[336.59609,26 ],[336.59853,28 ],[336.60097,30 ],[336.60341,33 ],[336.60586,34 ],[336.60830,34 ],[336.61074,33 ],[336.61318,31 ],[336.61562,28 ],[336.61807,24 ],[336.62051,20 ],[336.62295,19 ],[336.62539,19 ],[336.62783,18 ],[336.63028,17 ],[336.63272,16 ],[336.63516,15 ],[336.63760,15 ],[336.64004,16 ],[336.64249,18 ],[336.64493,20 ],[336.64737,23 ],[336.64981,26 ],[336.65225,29 ],[336.65470,32 ],[336.65714,34 ],[336.65958,36 ],[336.66202,36 ],[336.66446,38 ],[336.66691,38 ],[336.66935,38 ],[336.67179,38 ],[336.67423,38 ],[336.67667,39 ],[336.67912,40 ],[336.68156,40 ],[336.68400,40 ],[336.68644,41 ],[336.68888,42 ],[336.69133,43 ],[336.69377,44 ],[336.69621,45 ],[336.69865,44 ],[336.70109,42 ],[336.70354,41 ],[336.70598,40 ],[336.70842,40 ],[336.71086,40 ],[336.71330,38 ],[336.71575,35 ],[336.71819,34 ],[336.72063,33 ],[336.72307,32 ],[336.72551,34 ],[336.72796,36 ],[336.73040,38 ],[336.73284,39 ],[336.73528,40 ],[336.73772,40 ],[336.74017,40 ],[336.74261,38 ],[336.74505,35 ],[336.74749,34 ],[336.74993,32 ],[336.75238,30 ],[336.75482,28 ],[336.75726,27 ],[336.75970,27 ],[336.76214,26 ],[336.76459,25 ],[336.76703,24 ],[336.76947,23 ],[336.77191,20 ],[336.77435,16 ],[336.77680,12 ],[336.77924,10 ],[336.78168,7 ],[336.78412,7 ],[336.78656,6 ],[336.78901,5 ],[336.79145,4 ],[336.79389,3 ],[336.79633,2 ],[336.79877,2 ],[336.80122,1 ],[336.80366,2 ],[336.80610,3 ],[336.80854,3 ],[336.81098,4 ],[336.81343,4 ],[336.81587,4 ],[336.81831,5 ],[336.82075,4 ],[336.82319,2 ],[336.82564,2 ],[336.82808,2 ],[336.83052,0 ],[336.83296,-1 ],[336.83540,-4 ],[336.83785,-6 ],[336.84029,-5 ],[336.84273,-5 ],[336.84517,-5 ],[336.84761,-6 ],[336.85006,-7 ],[336.85250,-8 ],[336.85494,-8 ],[336.85738,-8 ],[336.85982,-10 ],[336.86227,-12 ],[336.86471,-14 ],[336.86715,-14 ],[336.86959,-12 ],[336.87203,-10 ],[336.87448,-9 ],[336.87692,-8 ],[336.87936,-6 ],[336.88180,-4 ],[336.88424,-1 ],[336.88669,4 ],[336.88913,9 ],[336.89157,12 ],[336.89401,15 ],[336.89645,16 ],[336.89890,17 ],[336.90134,17 ],[336.90378,15 ],[336.90622,15 ],[336.90866,15 ],[336.91111,14 ],[336.91355,12 ],[336.91599,9 ],[336.91843,6 ],[336.92087,3 ],[336.92332,1 ],[336.92576,1 ],[336.92820,1 ],[336.93064,0 ],[336.93308,-1 ],[336.93553,-2 ],[336.93797,-3 ],[336.94041,-6 ],[336.94285,-8 ],[336.94529,-10 ],[336.94774,-12 ],[336.95018,-15 ],[336.95262,-18 ],[336.95506,-17 ],[336.95750,-16 ],[336.95995,-14 ],[336.96239,-14 ],[336.96483,-13 ],[336.96727,-12 ],[336.96971,-12 ],[336.97216,-12 ],[336.97460,-13 ],[336.97704,-15 ],[336.97948,-18 ],[336.98192,-20 ],[336.98437,-22 ],[336.98681,-24 ],[336.98925,-27 ],[336.99169,-30 ],[336.99413,-31 ],[336.99658,-35 ],[336.99902,-39 ],[337.00146,-43 ],[337.00390,-45 ],[337.00634,-47 ],[337.00879,-48 ],[337.01123,-50 ],[337.01367,-52 ],[337.01611,-54 ],[337.01855,-56 ],[337.02100,-61 ],[337.02344,-64 ],[337.02588,-66 ],[337.02832,-68 ],[337.03076,-67 ],[337.03321,-66 ],[337.03565,-65 ],[337.03809,-65 ],[337.04053,-64 ],[337.04297,-65 ],[337.04542,-66 ],[337.04786,-68 ],[337.05030,-71 ],[337.05274,-74 ],[337.05518,-75 ],[337.05763,-75 ],[337.06007,-74 ],[337.06251,-72 ],[337.06495,-69 ],[337.06739,-66 ],[337.06984,-64 ],[337.07228,-61 ],[337.07472,-58 ],[337.07716,-54 ],[337.07960,-50 ],[337.08205,-48 ],[337.08449,-45 ],[337.08693,-42 ],[337.08937,-40 ],[337.09181,-39 ],[337.09426,-38 ],[337.09670,-38 ],[337.09914,-39 ],[337.10158,-41 ],[337.10402,-43 ],[337.10647,-45 ],[337.10891,-47 ],[337.11135,-47 ],[337.11379,-48 ],[337.11623,-50 ],[337.11868,-52 ],[337.12112,-55 ],[337.12356,-57 ],[337.12600,-60 ],[337.12844,-62 ],[337.13089,-65 ],[337.13333,-66 ],[337.13577,-67 ],[337.13821,-67 ],[337.14065,-66 ],[337.14310,-68 ],[337.14554,-69 ],[337.14798,-70 ],[337.15042,-72 ],[337.15286,-74 ],[337.15531,-76 ],[337.15775,-79 ],[337.16019,-82 ],[337.16263,-86 ],[337.16507,-88 ],[337.16752,-90 ],[337.16996,-92 ],[337.17240,-94 ],[337.17484,-95 ],[337.17728,-95 ],[337.17973,-94 ],[337.18217,-93 ],[337.18461,-93 ],[337.18705,-92 ],[337.18949,-92 ],[337.19194,-92 ],[337.19438,-92 ],[337.19682,-92 ],[337.19926,-92 ],[337.20170,-92 ],[337.20415,-94 ],[337.20659,-96 ],[337.20903,-95 ],[337.21147,-95 ],[337.21391,-94 ],[337.21636,-95 ],[337.21880,-97 ],[337.22124,-98 ],[337.22368,-98 ],[337.22612,-99 ],[337.22857,-100 ],[337.23101,-102 ],[337.23345,-104 ],[337.23589,-105 ],[337.23833,-107 ],[337.24078,-111 ],[337.24322,-116 ],[337.24566,-121 ],[337.24810,-124 ],[337.25054,-128 ],[337.25299,-132 ],[337.25543,-136 ],[337.25787,-139 ],[337.26031,-142 ],[337.26275,-144 ],[337.26520,-145 ],[337.26764,-146 ],[337.27008,-149 ],[337.27252,-150 ],[337.27496,-152 ],[337.27741,-154 ],[337.27985,-156 ],[337.28229,-157 ],[337.28473,-158 ],[337.28717,-159 ],[337.28962,-159 ],[337.29206,-158 ],[337.29450,-156 ],[337.29694,-153 ],[337.29938,-150 ],[337.30183,-149 ],[337.30427,-148 ],[337.30671,-146 ],[337.30915,-144 ],[337.31159,-142 ],[337.31404,-140 ],[337.31648,-138 ],[337.31892,-138 ],[337.32136,-137 ],[337.32380,-137 ],[337.32625,-137 ],[337.32869,-138 ],[337.33113,-140 ],[337.33357,-140 ],[337.33601,-139 ],[337.33846,-138 ],[337.34090,-137 ],[337.34334,-138 ],[337.34578,-137 ],[337.34822,-137 ],[337.35067,-138 ],[337.35311,-140 ],[337.35555,-141 ],[337.35799,-142 ],[337.36043,-142 ],[337.36288,-142 ],[337.36532,-143 ],[337.36776,-144 ],[337.37020,-146 ],[337.37264,-149 ],[337.37509,-152 ],[337.37753,-153 ],[337.37997,-155 ],[337.38241,-156 ],[337.38485,-156 ],[337.38730,-157 ],[337.38974,-158 ],[337.39218,-159 ],[337.39462,-160 ],[337.39706,-160 ],[337.39951,-160 ],[337.40195,-162 ],[337.40439,-164 ],[337.40683,-168 ],[337.40927,-170 ],[337.41172,-170 ],[337.41416,-169 ],[337.41660,-167 ],[337.41904,-165 ],[337.42148,-163 ],[337.42393,-162 ],[337.42637,-162 ],[337.42881,-164 ],[337.43125,-166 ],[337.43369,-168 ],[337.43614,-168 ],[337.43858,-167 ],[337.44102,-165 ],[337.44346,-162 ],[337.44590,-161 ],[337.44835,-161 ],[337.45079,-159 ],[337.45323,-159 ],[337.45567,-159 ],[337.45811,-159 ],[337.46056,-161 ],[337.46300,-164 ],[337.46544,-166 ],[337.46788,-166 ],[337.47032,-164 ],[337.47277,-163 ],[337.47521,-161 ],[337.47765,-158 ],[337.48009,-157 ],[337.48253,-156 ],[337.48498,-155 ],[337.48742,-154 ],[337.48986,-154 ],[337.49230,-154 ],[337.49474,-154 ],[337.49719,-153 ],[337.49963,-154 ],[337.50207,-154 ],[337.50451,-156 ],[337.50695,-158 ],[337.50940,-158 ],[337.51184,-159 ],[337.51428,-159 ],[337.51672,-158 ],[337.51916,-158 ],[337.52161,-159 ],[337.52405,-160 ],[337.52649,-161 ],[337.52893,-162 ],[337.53137,-163 ],[337.53382,-165 ],[337.53626,-166 ],[337.53870,-167 ],[337.54114,-167 ],[337.54358,-167 ],[337.54603,-168 ],[337.54847,-167 ],[337.55091,-166 ],[337.55335,-164 ],[337.55579,-160 ],[337.55824,-156 ],[337.56068,-153 ],[337.56312,-150 ],[337.56556,-147 ],[337.56800,-143 ],[337.57045,-142 ],[337.57289,-143 ],[337.57533,-145 ],[337.57777,-146 ],[337.58021,-146 ],[337.58266,-147 ],[337.58510,-147 ],[337.58754,-148 ],[337.58998,-147 ],[337.59242,-147 ],[337.59487,-147 ],[337.59731,-148 ],[337.59975,-149 ],[337.60219,-149 ],[337.60463,-148 ],[337.60708,-147 ],[337.60952,-147 ],[337.61196,-146 ],[337.61440,-144 ],[337.61684,-142 ],[337.61929,-140 ],[337.62173,-137 ],[337.62417,-134 ],[337.62661,-133 ],[337.62905,-132 ],[337.63150,-132 ],[337.63394,-130 ],[337.63638,-128 ],[337.63882,-127 ],[337.64126,-126 ],[337.64371,-125 ],[337.64615,-124 ],[337.64859,-122 ],[337.65103,-120 ],[337.65347,-119 ],[337.65592,-118 ],[337.65836,-117 ],[337.66080,-116 ],[337.66324,-115 ],[337.66568,-116 ],[337.66813,-114 ],[337.67057,-114 ],[337.67301,-114 ],[337.67545,-115 ],[337.67789,-116 ],[337.68034,-117 ],[337.68278,-119 ],[337.68522,-120 ],[337.68766,-121 ],[337.69010,-121 ],[337.69255,-122 ],[337.69499,-122 ],[337.69743,-122 ],[337.69987,-124 ],[337.70231,-125 ],[337.70476,-127 ],[337.70720,-129 ],[337.70964,-132 ],[337.71208,-133 ],[337.71452,-132 ],[337.71697,-129 ],[337.71941,-126 ],[337.72185,-124 ],[337.72429,-123 ],[337.72673,-122 ],[337.72918,-120 ],[337.73162,-119 ],[337.73406,-117 ],[337.73650,-116 ],[337.73894,-114 ],[337.74139,-113 ],[337.74383,-110 ],[337.74627,-108 ],[337.74871,-105 ],[337.75115,-102 ],[337.75360,-99 ],[337.75604,-95 ],[337.75848,-93 ],[337.76092,-90 ],[337.76336,-88 ],[337.76581,-85 ],[337.76825,-83 ],[337.77069,-81 ],[337.77313,-79 ],[337.77557,-76 ],[337.77802,-73 ],[337.78046,-68 ],[337.78290,-64 ],[337.78534,-61 ],[337.78778,-59 ],[337.79023,-58 ],[337.79267,-56 ],[337.79511,-54 ],[337.79755,-54 ],[337.8,-54 ],[337.80244,-53 ],[337.80488,-53 ],[337.80732,-52 ],[337.80976,-51 ],[337.81221,-52 ],[337.81465,-52 ],[337.81709,-52 ],[337.81953,-53 ],[337.82197,-55 ],[337.82442,-56 ],[337.82686,-57 ],[337.82930,-58 ],[337.83174,-60 ],[337.83418,-62 ],[337.83663,-64 ],[337.83907,-66 ],[337.84151,-69 ],[337.84395,-71 ],[337.84639,-74 ],[337.84884,-75 ],[337.85128,-76 ],[337.85372,-78 ],[337.85616,-80 ],[337.85860,-83 ],[337.86105,-86 ],[337.86349,-89 ],[337.86593,-92 ],[337.86837,-94 ],[337.87081,-96 ],[337.87326,-100 ],[337.87570,-102 ],[337.87814,-102 ],[337.88058,-100 ],[337.88302,-98 ],[337.88547,-97 ],[337.88791,-94 ],[337.89035,-91 ],[337.89279,-88 ],[337.89523,-84 ],[337.89768,-80 ],[337.90012,-77 ],[337.90256,-75 ],[337.90500,-74 ],[337.90744,-72 ],[337.90989,-70 ],[337.91233,-68 ],[337.91477,-67 ],[337.91721,-66 ],[337.91965,-64 ],[337.92210,-65 ],[337.92454,-65 ],[337.92698,-67 ],[337.92942,-70 ],[337.93186,-72 ],[337.93431,-72 ],[337.93675,-70 ],[337.93919,-67 ],[337.94163,-64 ],[337.94407,-62 ],[337.94652,-60 ],[337.94896,-58 ],[337.95140,-58 ],[337.95384,-60 ],[337.95628,-63 ],[337.95873,-67 ],[337.96117,-72 ],[337.96361,-77 ],[337.96605,-83 ],[337.96849,-89 ],[337.97094,-95 ],[337.97338,-100 ],[337.97582,-103 ],[337.97826,-106 ],[337.98070,-108 ],[337.98315,-111 ],[337.98559,-114 ],[337.98803,-118 ],[337.99047,-120 ],[337.99291,-123 ],[337.99536,-126 ],[337.99780,-130 ],[338.00024,-133 ],[338.00268,-136 ],[338.00512,-138 ],[338.00757,-142 ],[338.01001,-149 ],[338.01245,-157 ],[338.01489,-164 ],[338.01733,-171 ],[338.01978,-177 ],[338.02222,-182 ],[338.02466,-185 ],[338.02710,-189 ],[338.02954,-193 ],[338.03199,-197 ],[338.03443,-201 ],[338.03687,-206 ],[338.03931,-210 ],[338.04175,-215 ],[338.04420,-218 ],[338.04664,-223 ],[338.04908,-227 ],[338.05152,-231 ],[338.05396,-234 ],[338.05641,-238 ],[338.05885,-239 ],[338.06129,-238 ],[338.06373,-237 ],[338.06617,-236 ],[338.06862,-235 ],[338.07106,-233 ],[338.07350,-231 ],[338.07594,-229 ],[338.07838,-226 ],[338.08083,-222 ],[338.08327,-218 ],[338.08571,-214 ],[338.08815,-210 ],[338.09059,-208 ],[338.09304,-208 ],[338.09548,-207 ],[338.09792,-205 ],[338.10036,-201 ],[338.10280,-198 ],[338.10525,-193 ],[338.10769,-187 ],[338.11013,-181 ],[338.11257,-176 ],[338.11501,-171 ],[338.11746,-166 ],[338.11990,-160 ],[338.12234,-154 ],[338.12478,-148 ],[338.12722,-142 ],[338.12967,-136 ],[338.13211,-129 ],[338.13455,-122 ],[338.13699,-116 ],[338.13943,-112 ],[338.14188,-107 ],[338.14432,-103 ],[338.14676,-100 ],[338.14920,-97 ],[338.15164,-94 ],[338.15409,-92 ],[338.15653,-90 ],[338.15897,-87 ],[338.16141,-85 ],[338.16385,-85 ],[338.16630,-84 ],[338.16874,-84 ],[338.17118,-85 ],[338.17362,-87 ],[338.17606,-86 ],[338.17851,-85 ],[338.18095,-82 ],[338.18339,-79 ],[338.18583,-77 ],[338.18827,-75 ],[338.19072,-73 ],[338.19316,-71 ],[338.19560,-70 ],[338.19804,-69 ],[338.20048,-69 ],[338.20293,-69 ],[338.20537,-71 ],[338.20781,-73 ],[338.21025,-74 ],[338.21269,-76 ],[338.21514,-78 ],[338.21758,-80 ],[338.22002,-84 ],[338.22246,-89 ],[338.22490,-92 ],[338.22735,-95 ],[338.22979,-99 ],[338.23223,-102 ],[338.23467,-105 ],[338.23711,-109 ],[338.23956,-114 ],[338.24200,-118 ],[338.24444,-121 ],[338.24688,-123 ],[338.24932,-125 ],[338.25177,-126 ],[338.25421,-127 ],[338.25665,-127 ],[338.25909,-125 ],[338.26153,-124 ],[338.26398,-122 ],[338.26642,-122 ],[338.26886,-121 ],[338.27130,-117 ],[338.27374,-113 ],[338.27619,-111 ],[338.27863,-109 ],[338.28107,-107 ],[338.28351,-106 ],[338.28595,-105 ],[338.28840,-105 ],[338.29084,-105 ],[338.29328,-105 ],[338.29572,-106 ],[338.29816,-107 ],[338.30061,-110 ],[338.30305,-113 ],[338.30549,-116 ],[338.30793,-119 ],[338.31037,-121 ],[338.31282,-122 ],[338.31526,-123 ],[338.31770,-124 ],[338.32014,-125 ],[338.32258,-127 ],[338.32503,-127 ],[338.32747,-125 ],[338.32991,-123 ],[338.33235,-120 ],[338.33479,-118 ],[338.33724,-116 ],[338.33968,-113 ],[338.34212,-110 ],[338.34456,-108 ],[338.34700,-107 ],[338.34945,-106 ],[338.35189,-103 ],[338.35433,-103 ],[338.35677,-101 ],[338.35921,-99 ],[338.36166,-96 ],[338.36410,-94 ],[338.36654,-94 ],[338.36898,-93 ],[338.37142,-92 ],[338.37387,-91 ],[338.37631,-89 ],[338.37875,-88 ],[338.38119,-88 ],[338.38363,-89 ],[338.38608,-90 ],[338.38852,-91 ],[338.39096,-93 ],[338.39340,-95 ],[338.39584,-96 ],[338.39829,-96 ],[338.40073,-94 ],[338.40317,-91 ],[338.40561,-88 ],[338.40805,-85 ],[338.41050,-84 ],[338.41294,-83 ],[338.41538,-82 ],[338.41782,-79 ],[338.42026,-77 ],[338.42271,-76 ],[338.42515,-74 ],[338.42759,-73 ],[338.43003,-72 ],[338.43247,-71 ],[338.43492,-71 ],[338.43736,-71 ],[338.43980,-71 ],[338.44224,-72 ],[338.44468,-73 ],[338.44713,-74 ],[338.44957,-76 ],[338.45201,-79 ],[338.45445,-81 ],[338.45689,-81 ],[338.45934,-81 ],[338.46178,-81 ],[338.46422,-80 ],[338.46666,-79 ],[338.46910,-78 ],[338.47155,-78 ],[338.47399,-78 ],[338.47643,-78 ],[338.47887,-78 ],[338.48131,-79 ],[338.48376,-80 ],[338.48620,-80 ],[338.48864,-81 ],[338.49108,-82 ],[338.49352,-81 ],[338.49597,-79 ],[338.49841,-76 ],[338.50085,-74 ],[338.50329,-74 ],[338.50573,-74 ],[338.50818,-72 ],[338.51062,-72 ],[338.51306,-71 ],[338.51550,-71 ],[338.51794,-70 ],[338.52039,-70 ],[338.52283,-69 ],[338.52527,-67 ],[338.52771,-65 ],[338.53015,-62 ],[338.53260,-60 ],[338.53504,-60 ],[338.53748,-60 ],[338.53992,-62 ],[338.54236,-65 ],[338.54481,-68 ],[338.54725,-68 ],[338.54969,-67 ],[338.55213,-66 ],[338.55457,-66 ],[338.55702,-67 ],[338.55946,-65 ],[338.56190,-64 ],[338.56434,-64 ],[338.56678,-63 ],[338.56923,-63 ],[338.57167,-64 ],[338.57411,-66 ],[338.57655,-69 ],[338.57899,-72 ],[338.58144,-75 ],[338.58388,-77 ],[338.58632,-79 ],[338.58876,-79 ],[338.59120,-78 ],[338.59365,-76 ],[338.59609,-75 ],[338.59853,-75 ],[338.60097,-76 ],[338.60341,-79 ],[338.60586,-82 ],[338.60830,-83 ],[338.61074,-84 ],[338.61318,-85 ],[338.61562,-85 ],[338.61807,-85 ],[338.62051,-86 ],[338.62295,-86 ],[338.62539,-86 ],[338.62783,-85 ],[338.63028,-83 ],[338.63272,-82 ],[338.63516,-83 ],[338.63760,-83 ],[338.64004,-84 ],[338.64249,-85 ],[338.64493,-85 ],[338.64737,-85 ],[338.64981,-85 ],[338.65225,-86 ],[338.65470,-86 ],[338.65714,-86 ],[338.65958,-86 ],[338.66202,-86 ],[338.66446,-84 ],[338.66691,-82 ],[338.66935,-79 ],[338.67179,-75 ],[338.67423,-72 ],[338.67667,-70 ],[338.67912,-68 ],[338.68156,-67 ],[338.68400,-66 ],[338.68644,-66 ],[338.68888,-67 ],[338.69133,-68 ],[338.69377,-68 ],[338.69621,-68 ],[338.69865,-67 ],[338.70109,-65 ],[338.70354,-63 ],[338.70598,-61 ],[338.70842,-59 ],[338.71086,-57 ],[338.71330,-55 ],[338.71575,-52 ],[338.71819,-51 ],[338.72063,-51 ],[338.72307,-51 ],[338.72551,-53 ],[338.72796,-53 ],[338.73040,-53 ],[338.73284,-54 ],[338.73528,-56 ],[338.73772,-59 ],[338.74017,-63 ],[338.74261,-67 ],[338.74505,-72 ],[338.74749,-76 ],[338.74993,-81 ],[338.75238,-86 ],[338.75482,-90 ],[338.75726,-93 ],[338.75970,-97 ],[338.76214,-99 ],[338.76459,-99 ],[338.76703,-99 ],[338.76947,-98 ],[338.77191,-98 ],[338.77435,-98 ],[338.77680,-97 ],[338.77924,-96 ],[338.78168,-96 ],[338.78412,-96 ],[338.78656,-96 ],[338.78901,-98 ],[338.79145,-99 ],[338.79389,-101 ],[338.79633,-103 ],[338.79877,-105 ],[338.80122,-106 ],[338.80366,-107 ],[338.80610,-104 ],[338.80854,-102 ],[338.81098,-98 ],[338.81343,-95 ],[338.81587,-92 ],[338.81831,-89 ],[338.82075,-86 ],[338.82319,-84 ],[338.82564,-84 ],[338.82808,-84 ],[338.83052,-84 ],[338.83296,-84 ],[338.83540,-85 ],[338.83785,-86 ],[338.84029,-88 ],[338.84273,-89 ],[338.84517,-91 ],[338.84761,-91 ],[338.85006,-91 ],[338.85250,-92 ],[338.85494,-91 ],[338.85738,-92 ],[338.85982,-92 ],[338.86227,-93 ],[338.86471,-93 ],[338.86715,-93 ],[338.86959,-91 ],[338.87203,-90 ],[338.87448,-89 ],[338.87692,-87 ],[338.87936,-87 ],[338.88180,-88 ],[338.88424,-88 ],[338.88669,-89 ],[338.88913,-91 ],[338.89157,-92 ],[338.89401,-95 ],[338.89645,-98 ],[338.89890,-101 ],[338.90134,-103 ],[338.90378,-105 ],[338.90622,-108 ],[338.90866,-111 ],[338.91111,-112 ],[338.91355,-111 ],[338.91599,-110 ],[338.91843,-107 ],[338.92087,-103 ],[338.92332,-98 ],[338.92576,-94 ],[338.92820,-90 ],[338.93064,-87 ],[338.93308,-83 ],[338.93553,-79 ],[338.93797,-76 ],[338.94041,-72 ],[338.94285,-68 ],[338.94529,-64 ],[338.94774,-59 ],[338.95018,-55 ],[338.95262,-52 ],[338.95506,-49 ],[338.95750,-45 ],[338.95995,-44 ],[338.96239,-43 ],[338.96483,-42 ],[338.96727,-42 ],[338.96971,-43 ],[338.97216,-44 ],[338.97460,-45 ],[338.97704,-46 ],[338.97948,-47 ],[338.98192,-47 ],[338.98437,-48 ],[338.98681,-49 ],[338.98925,-51 ],[338.99169,-53 ],[338.99413,-55 ],[338.99658,-58 ],[338.99902,-60 ],[339.00146,-64 ],[339.00390,-66 ],[339.00634,-69 ],[339.00879,-73 ],[339.01123,-75 ],[339.01367,-75 ],[339.01611,-74 ],[339.01855,-75 ],[339.02100,-76 ],[339.02344,-78 ],[339.02588,-80 ],[339.02832,-83 ],[339.03076,-86 ],[339.03321,-90 ],[339.03565,-92 ],[339.03809,-93 ],[339.04053,-95 ],[339.04297,-97 ],[339.04542,-99 ],[339.04786,-102 ],[339.05030,-105 ],[339.05274,-107 ],[339.05518,-109 ],[339.05763,-110 ],[339.06007,-111 ],[339.06251,-110 ],[339.06495,-110 ],[339.06739,-111 ],[339.06984,-112 ],[339.07228,-112 ],[339.07472,-113 ],[339.07716,-115 ],[339.07960,-117 ],[339.08205,-119 ],[339.08449,-121 ],[339.08693,-124 ],[339.08937,-127 ],[339.09181,-129 ],[339.09426,-130 ],[339.09670,-130 ],[339.09914,-128 ],[339.10158,-127 ],[339.10402,-126 ],[339.10647,-125 ],[339.10891,-123 ],[339.11135,-120 ],[339.11379,-116 ],[339.11623,-113 ],[339.11868,-111 ],[339.12112,-111 ],[339.12356,-112 ],[339.12600,-112 ],[339.12844,-113 ],[339.13089,-113 ],[339.13333,-113 ],[339.13577,-114 ],[339.13821,-114 ],[339.14065,-115 ],[339.14310,-116 ],[339.14554,-116 ],[339.14798,-116 ],[339.15042,-115 ],[339.15286,-113 ],[339.15531,-111 ],[339.15775,-112 ],[339.16019,-112 ],[339.16263,-112 ],[339.16507,-112 ],[339.16752,-112 ],[339.16996,-113 ],[339.17240,-112 ],[339.17484,-111 ],[339.17728,-109 ],[339.17973,-107 ],[339.18217,-107 ],[339.18461,-108 ],[339.18705,-108 ],[339.18949,-109 ],[339.19194,-109 ],[339.19438,-110 ],[339.19682,-111 ],[339.19926,-112 ],[339.20170,-113 ],[339.20415,-115 ],[339.20659,-117 ],[339.20903,-119 ],[339.21147,-122 ],[339.21391,-126 ],[339.21636,-129 ],[339.21880,-131 ],[339.22124,-134 ],[339.22368,-137 ],[339.22612,-141 ],[339.22857,-143 ],[339.23101,-145 ],[339.23345,-147 ],[339.23589,-146 ],[339.23833,-145 ],[339.24078,-145 ],[339.24322,-144 ],[339.24566,-143 ],[339.24810,-142 ],[339.25054,-144 ],[339.25299,-145 ],[339.25543,-144 ],[339.25787,-145 ],[339.26031,-145 ],[339.26275,-146 ],[339.26520,-146 ],[339.26764,-146 ],[339.27008,-146 ],[339.27252,-145 ],[339.27496,-146 ],[339.27741,-148 ],[339.27985,-149 ],[339.28229,-150 ],[339.28473,-149 ],[339.28717,-148 ],[339.28962,-147 ],[339.29206,-145 ],[339.29450,-145 ],[339.29694,-144 ],[339.29938,-144 ],[339.30183,-144 ],[339.30427,-145 ],[339.30671,-147 ],[339.30915,-148 ],[339.31159,-149 ],[339.31404,-150 ],[339.31648,-150 ],[339.31892,-151 ],[339.32136,-151 ],[339.32380,-151 ],[339.32625,-150 ],[339.32869,-149 ],[339.33113,-149 ],[339.33357,-150 ],[339.33601,-151 ],[339.33846,-154 ],[339.34090,-154 ],[339.34334,-155 ],[339.34578,-157 ],[339.34822,-158 ],[339.35067,-158 ],[339.35311,-159 ],[339.35555,-159 ],[339.35799,-158 ],[339.36043,-157 ],[339.36288,-157 ],[339.36532,-158 ],[339.36776,-158 ],[339.37020,-159 ],[339.37264,-159 ],[339.37509,-158 ],[339.37753,-159 ],[339.37997,-160 ],[339.38241,-161 ],[339.38485,-162 ],[339.38730,-163 ],[339.38974,-161 ],[339.39218,-161 ],[339.39462,-161 ],[339.39706,-160 ],[339.39951,-160 ],[339.40195,-159 ],[339.40439,-156 ],[339.40683,-154 ],[339.40927,-152 ],[339.41172,-151 ],[339.41416,-151 ],[339.41660,-151 ],[339.41904,-152 ],[339.42148,-153 ],[339.42393,-154 ],[339.42637,-154 ],[339.42881,-154 ],[339.43125,-155 ],[339.43369,-156 ],[339.43614,-158 ],[339.43858,-160 ],[339.44102,-160 ],[339.44346,-160 ],[339.44590,-160 ],[339.44835,-160 ],[339.45079,-160 ],[339.45323,-160 ],[339.45567,-159 ],[339.45811,-158 ],[339.46056,-157 ],[339.46300,-156 ],[339.46544,-154 ],[339.46788,-152 ],[339.47032,-150 ],[339.47277,-148 ],[339.47521,-145 ],[339.47765,-141 ],[339.48009,-137 ],[339.48253,-133 ],[339.48498,-129 ],[339.48742,-126 ],[339.48986,-126 ],[339.49230,-127 ],[339.49474,-129 ],[339.49719,-132 ],[339.49963,-134 ],[339.50207,-137 ],[339.50451,-138 ],[339.50695,-137 ],[339.50940,-137 ],[339.51184,-138 ],[339.51428,-140 ],[339.51672,-139 ],[339.51916,-139 ],[339.52161,-140 ],[339.52405,-138 ],[339.52649,-137 ],[339.52893,-135 ],[339.53137,-131 ],[339.53382,-127 ],[339.53626,-124 ],[339.53870,-121 ],[339.54114,-119 ],[339.54358,-117 ],[339.54603,-117 ],[339.54847,-117 ],[339.55091,-117 ],[339.55335,-118 ],[339.55579,-119 ],[339.55824,-120 ],[339.56068,-121 ],[339.56312,-122 ],[339.56556,-122 ],[339.56800,-120 ],[339.57045,-119 ],[339.57289,-118 ],[339.57533,-117 ],[339.57777,-118 ],[339.58021,-117 ],[339.58266,-117 ],[339.58510,-117 ],[339.58754,-117 ],[339.58998,-118 ],[339.59242,-119 ],[339.59487,-118 ],[339.59731,-118 ],[339.59975,-116 ],[339.60219,-115 ],[339.60463,-114 ],[339.60708,-113 ],[339.60952,-112 ],[339.61196,-111 ],[339.61440,-110 ],[339.61684,-109 ],[339.61929,-107 ],[339.62173,-106 ],[339.62417,-104 ],[339.62661,-103 ],[339.62905,-102 ],[339.63150,-101 ],[339.63394,-101 ],[339.63638,-101 ],[339.63882,-101 ],[339.64126,-100 ],[339.64371,-98 ],[339.64615,-98 ],[339.64859,-97 ],[339.65103,-98 ],[339.65347,-97 ],[339.65592,-95 ],[339.65836,-94 ],[339.66080,-95 ],[339.66324,-97 ],[339.66568,-97 ],[339.66813,-98 ],[339.67057,-99 ],[339.67301,-102 ],[339.67545,-103 ],[339.67789,-103 ],[339.68034,-104 ],[339.68278,-103 ],[339.68522,-102 ],[339.68766,-102 ],[339.69010,-102 ],[339.69255,-103 ],[339.69499,-105 ],[339.69743,-107 ],[339.69987,-110 ],[339.70231,-114 ],[339.70476,-117 ],[339.70720,-121 ],[339.70964,-125 ],[339.71208,-128 ],[339.71452,-132 ],[339.71697,-135 ],[339.71941,-138 ],[339.72185,-141 ],[339.72429,-144 ],[339.72673,-147 ],[339.72918,-149 ],[339.73162,-150 ],[339.73406,-149 ],[339.73650,-148 ],[339.73894,-146 ],[339.74139,-146 ],[339.74383,-144 ],[339.74627,-142 ],[339.74871,-140 ],[339.75115,-139 ],[339.75360,-140 ],[339.75604,-139 ],[339.75848,-136 ],[339.76092,-133 ],[339.76336,-128 ],[339.76581,-123 ],[339.76825,-119 ],[339.77069,-116 ],[339.77313,-113 ],[339.77557,-111 ],[339.77802,-108 ],[339.78046,-105 ],[339.78290,-102 ],[339.78534,-99 ],[339.78778,-96 ],[339.79023,-93 ],[339.79267,-90 ],[339.79511,-89 ],[339.79755,-88 ],[339.8,-87 ],[339.80244,-88 ],[339.80488,-88 ],[339.80732,-88 ],[339.80976,-90 ],[339.81221,-90 ],[339.81465,-90 ],[339.81709,-90 ],[339.81953,-90 ],[339.82197,-89 ],[339.82442,-89 ],[339.82686,-89 ],[339.82930,-91 ],[339.83174,-93 ],[339.83418,-95 ],[339.83663,-97 ],[339.83907,-98 ],[339.84151,-100 ],[339.84395,-101 ],[339.84639,-101 ],[339.84884,-100 ],[339.85128,-100 ],[339.85372,-100 ],[339.85616,-99 ],[339.85860,-98 ],[339.86105,-96 ],[339.86349,-96 ],[339.86593,-95 ],[339.86837,-95 ],[339.87081,-95 ],[339.87326,-94 ],[339.87570,-92 ],[339.87814,-90 ],[339.88058,-89 ],[339.88302,-89 ],[339.88547,-86 ],[339.88791,-84 ],[339.89035,-83 ],[339.89279,-83 ],[339.89523,-84 ],[339.89768,-83 ],[339.90012,-83 ],[339.90256,-83 ],[339.90500,-84 ],[339.90744,-86 ],[339.90989,-85 ],[339.91233,-85 ],[339.91477,-85 ],[339.91721,-84 ],[339.91965,-84 ],[339.92210,-83 ],[339.92454,-82 ],[339.92698,-81 ],[339.92942,-80 ],[339.93186,-81 ],[339.93431,-81 ],[339.93675,-79 ],[339.93919,-77 ],[339.94163,-76 ],[339.94407,-73 ],[339.94652,-71 ],[339.94896,-70 ],[339.95140,-69 ],[339.95384,-67 ],[339.95628,-64 ],[339.95873,-62 ],[339.96117,-61 ],[339.96361,-62 ],[339.96605,-64 ],[339.96849,-65 ],[339.97094,-68 ],[339.97338,-69 ],[339.97582,-69 ],[339.97826,-70 ],[339.98070,-73 ],[339.98315,-76 ],[339.98559,-79 ],[339.98803,-82 ],[339.99047,-83 ],[339.99291,-83 ],[339.99536,-82 ],[339.99780,-80 ],[340.00024,-79 ],[340.00268,-79 ],[340.00512,-79 ],[340.00757,-78 ],[340.01001,-77 ],[340.01245,-77 ],[340.01489,-77 ],[340.01733,-79 ],[340.01978,-80 ],[340.02222,-81 ],[340.02466,-82 ],[340.02710,-83 ],[340.02954,-85 ],[340.03199,-86 ],[340.03443,-86 ],[340.03687,-86 ],[340.03931,-85 ],[340.04175,-84 ],[340.04420,-83 ],[340.04664,-83 ],[340.04908,-83 ],[340.05152,-85 ],[340.05396,-89 ],[340.05641,-92 ],[340.05885,-95 ],[340.06129,-95 ],[340.06373,-94 ],[340.06617,-92 ],[340.06862,-91 ],[340.07106,-89 ],[340.07350,-87 ],[340.07594,-86 ],[340.07838,-84 ],[340.08083,-82 ],[340.08327,-80 ],[340.08571,-78 ],[340.08815,-78 ],[340.09059,-78 ],[340.09304,-77 ],[340.09548,-76 ],[340.09792,-75 ],[340.10036,-75 ],[340.10280,-73 ],[340.10525,-69 ],[340.10769,-65 ],[340.11013,-60 ],[340.11257,-56 ],[340.11501,-53 ],[340.11746,-49 ],[340.11990,-45 ],[340.12234,-42 ],[340.12478,-40 ],[340.12722,-39 ],[340.12967,-38 ],[340.13211,-37 ],[340.13455,-37 ],[340.13699,-38 ],[340.13943,-39 ],[340.14188,-41 ],[340.14432,-43 ],[340.14676,-45 ],[340.14920,-47 ],[340.15164,-48 ],[340.15409,-51 ],[340.15653,-55 ],[340.15897,-59 ],[340.16141,-62 ],[340.16385,-64 ],[340.16630,-68 ],[340.16874,-70 ],[340.17118,-72 ],[340.17362,-73 ],[340.17606,-74 ],[340.17851,-76 ],[340.18095,-78 ],[340.18339,-81 ],[340.18583,-83 ],[340.18827,-84 ],[340.19072,-85 ],[340.19316,-85 ],[340.19560,-86 ],[340.19804,-87 ],[340.20048,-86 ],[340.20293,-84 ],[340.20537,-83 ],[340.20781,-82 ],[340.21025,-80 ],[340.21269,-77 ],[340.21514,-74 ],[340.21758,-71 ],[340.22002,-68 ],[340.22246,-66 ],[340.22490,-66 ],[340.22735,-66 ],[340.22979,-67 ],[340.23223,-68 ],[340.23467,-70 ],[340.23711,-71 ],[340.23956,-72 ],[340.24200,-74 ],[340.24444,-75 ],[340.24688,-76 ],[340.24932,-78 ],[340.25177,-80 ],[340.25421,-81 ],[340.25665,-82 ],[340.25909,-82 ],[340.26153,-81 ],[340.26398,-79 ],[340.26642,-77 ],[340.26886,-75 ],[340.27130,-74 ],[340.27374,-74 ],[340.27619,-71 ],[340.27863,-70 ],[340.28107,-69 ],[340.28351,-70 ],[340.28595,-71 ],[340.28840,-71 ],[340.29084,-69 ],[340.29328,-68 ],[340.29572,-68 ],[340.29816,-68 ],[340.30061,-67 ],[340.30305,-65 ],[340.30549,-65 ],[340.30793,-65 ],[340.31037,-64 ],[340.31282,-63 ],[340.31526,-62 ],[340.31770,-62 ],[340.32014,-61 ],[340.32258,-61 ],[340.32503,-62 ],[340.32747,-62 ],[340.32991,-61 ],[340.33235,-60 ],[340.33479,-59 ],[340.33724,-58 ],[340.33968,-58 ],[340.34212,-58 ],[340.34456,-59 ],[340.34700,-60 ],[340.34945,-60 ],[340.35189,-61 ],[340.35433,-63 ],[340.35677,-66 ],[340.35921,-67 ],[340.36166,-69 ],[340.36410,-72 ],[340.36654,-75 ],[340.36898,-78 ],[340.37142,-80 ],[340.37387,-83 ],[340.37631,-86 ],[340.37875,-89 ],[340.38119,-93 ],[340.38363,-96 ],[340.38608,-99 ],[340.38852,-101 ],[340.39096,-101 ],[340.39340,-100 ],[340.39584,-99 ],[340.39829,-98 ],[340.40073,-98 ],[340.40317,-99 ],[340.40561,-98 ],[340.40805,-97 ],[340.41050,-95 ],[340.41294,-93 ],[340.41538,-90 ],[340.41782,-87 ],[340.42026,-85 ],[340.42271,-84 ],[340.42515,-82 ],[340.42759,-81 ],[340.43003,-80 ],[340.43247,-79 ],[340.43492,-80 ],[340.43736,-79 ],[340.43980,-78 ],[340.44224,-77 ],[340.44468,-77 ],[340.44713,-76 ],[340.44957,-76 ],[340.45201,-75 ],[340.45445,-76 ],[340.45689,-76 ],[340.45934,-75 ],[340.46178,-73 ],[340.46422,-71 ],[340.46666,-70 ],[340.46910,-68 ],[340.47155,-66 ],[340.47399,-64 ],[340.47643,-63 ],[340.47887,-61 ],[340.48131,-58 ],[340.48376,-57 ],[340.48620,-58 ],[340.48864,-59 ],[340.49108,-60 ],[340.49352,-62 ],[340.49597,-64 ],[340.49841,-66 ],[340.50085,-68 ],[340.50329,-70 ],[340.50573,-72 ],[340.50818,-73 ],[340.51062,-74 ],[340.51306,-75 ],[340.51550,-75 ],[340.51794,-74 ],[340.52039,-72 ],[340.52283,-70 ],[340.52527,-67 ],[340.52771,-63 ],[340.53015,-60 ],[340.53260,-56 ],[340.53504,-53 ],[340.53748,-51 ],[340.53992,-49 ],[340.54236,-46 ],[340.54481,-43 ],[340.54725,-42 ],[340.54969,-40 ],[340.55213,-41 ],[340.55457,-44 ],[340.55702,-45 ],[340.55946,-47 ],[340.56190,-49 ],[340.56434,-51 ],[340.56678,-53 ],[340.56923,-55 ],[340.57167,-58 ],[340.57411,-61 ],[340.57655,-63 ],[340.57899,-63 ],[340.58144,-62 ],[340.58388,-61 ],[340.58632,-61 ],[340.58876,-62 ],[340.59120,-64 ],[340.59365,-65 ],[340.59609,-66 ],[340.59853,-67 ],[340.60097,-68 ],[340.60341,-70 ],[340.60586,-72 ],[340.60830,-75 ],[340.61074,-78 ],[340.61318,-80 ],[340.61562,-82 ],[340.61807,-84 ],[340.62051,-86 ],[340.62295,-90 ],[340.62539,-92 ],[340.62783,-96 ],[340.63028,-101 ],[340.63272,-107 ],[340.63516,-113 ],[340.63760,-117 ],[340.64004,-121 ],[340.64249,-124 ],[340.64493,-126 ],[340.64737,-128 ],[340.64981,-131 ],[340.65225,-134 ],[340.65470,-136 ],[340.65714,-137 ],[340.65958,-137 ],[340.66202,-136 ],[340.66446,-134 ],[340.66691,-132 ],[340.66935,-130 ],[340.67179,-128 ],[340.67423,-126 ],[340.67667,-124 ],[340.67912,-122 ],[340.68156,-121 ],[340.68400,-120 ],[340.68644,-118 ],[340.68888,-118 ],[340.69133,-119 ],[340.69377,-121 ],[340.69621,-123 ],[340.69865,-124 ],[340.70109,-125 ],[340.70354,-126 ],[340.70598,-125 ],[340.70842,-125 ],[340.71086,-125 ],[340.71330,-126 ],[340.71575,-126 ],[340.71819,-125 ],[340.72063,-123 ],[340.72307,-121 ],[340.72551,-120 ],[340.72796,-119 ],[340.73040,-121 ],[340.73284,-122 ],[340.73528,-123 ],[340.73772,-125 ],[340.74017,-125 ],[340.74261,-126 ],[340.74505,-128 ],[340.74749,-129 ],[340.74993,-129 ],[340.75238,-127 ],[340.75482,-124 ],[340.75726,-119 ],[340.75970,-114 ],[340.76214,-112 ],[340.76459,-109 ],[340.76703,-105 ],[340.76947,-102 ],[340.77191,-98 ],[340.77435,-93 ],[340.77680,-88 ],[340.77924,-84 ],[340.78168,-82 ],[340.78412,-81 ],[340.78656,-80 ],[340.78901,-80 ],[340.79145,-80 ],[340.79389,-81 ],[340.79633,-82 ],[340.79877,-82 ],[340.80122,-81 ],[340.80366,-81 ],[340.80610,-80 ],[340.80854,-79 ],[340.81098,-78 ],[340.81343,-77 ],[340.81587,-77 ],[340.81831,-76 ],[340.82075,-75 ],[340.82319,-74 ],[340.82564,-72 ],[340.82808,-69 ],[340.83052,-67 ],[340.83296,-66 ],[340.83540,-66 ],[340.83785,-67 ],[340.84029,-68 ],[340.84273,-67 ],[340.84517,-68 ],[340.84761,-68 ],[340.85006,-69 ],[340.85250,-69 ],[340.85494,-69 ],[340.85738,-70 ],[340.85982,-71 ],[340.86227,-71 ],[340.86471,-72 ],[340.86715,-74 ],[340.86959,-76 ],[340.87203,-79 ],[340.87448,-83 ],[340.87692,-87 ],[340.87936,-92 ],[340.88180,-96 ],[340.88424,-102 ],[340.88669,-107 ],[340.88913,-111 ],[340.89157,-115 ],[340.89401,-117 ],[340.89645,-118 ],[340.89890,-121 ],[340.90134,-122 ],[340.90378,-124 ],[340.90622,-125 ],[340.90866,-125 ],[340.91111,-125 ],[340.91355,-124 ],[340.91599,-122 ],[340.91843,-121 ],[340.92087,-120 ],[340.92332,-121 ],[340.92576,-121 ],[340.92820,-120 ],[340.93064,-119 ],[340.93308,-119 ],[340.93553,-119 ],[340.93797,-120 ],[340.94041,-121 ],[340.94285,-121 ],[340.94529,-122 ],[340.94774,-123 ],[340.95018,-124 ],[340.95262,-126 ],[340.95506,-128 ],[340.95750,-130 ],[340.95995,-133 ],[340.96239,-135 ],[340.96483,-137 ],[340.96727,-140 ],[340.96971,-144 ],[340.97216,-149 ],[340.97460,-155 ],[340.97704,-159 ],[340.97948,-162 ],[340.98192,-164 ],[340.98437,-167 ],[340.98681,-169 ],[340.98925,-171 ],[340.99169,-173 ],[340.99413,-174 ],[340.99658,-176 ],[340.99902,-177 ],[341.00146,-177 ],[341.00390,-176 ],[341.00634,-175 ],[341.00879,-175 ],[341.01123,-175 ],[341.01367,-174 ],[341.01611,-172 ],[341.01855,-170 ],[341.02100,-171 ],[341.02344,-174 ],[341.02588,-177 ],[341.02832,-179 ],[341.03076,-183 ],[341.03321,-188 ],[341.03565,-193 ],[341.03809,-198 ],[341.04053,-205 ],[341.04297,-212 ],[341.04542,-219 ],[341.04786,-226 ],[341.05030,-232 ],[341.05274,-239 ],[341.05518,-246 ],[341.05763,-253 ],[341.06007,-260 ],[341.06251,-267 ],[341.06495,-275 ],[341.06739,-283 ],[341.06984,-290 ],[341.07228,-296 ],[341.07472,-303 ],[341.07716,-309 ],[341.07960,-314 ],[341.08205,-317 ],[341.08449,-321 ],[341.08693,-326 ],[341.08937,-331 ],[341.09181,-336 ],[341.09426,-342 ],[341.09670,-348 ],[341.09914,-353 ],[341.10158,-360 ],[341.10402,-367 ],[341.10647,-375 ],[341.10891,-382 ],[341.11135,-390 ],[341.11379,-398 ],[341.11623,-406 ],[341.11868,-415 ],[341.12112,-423 ],[341.12356,-431 ],[341.12600,-441 ],[341.12844,-451 ],[341.13089,-461 ],[341.13333,-471 ],[341.13577,-480 ],[341.13821,-489 ],[341.14065,-499 ],[341.14310,-510 ],[341.14554,-521 ],[341.14798,-532 ],[341.15042,-543 ],[341.15286,-555 ],[341.15531,-567 ],[341.15775,-581 ],[341.16019,-596 ],[341.16263,-612 ],[341.16507,-628 ],[341.16752,-645 ],[341.16996,-660 ],[341.17240,-676 ],[341.17484,-694 ],[341.17728,-712 ],[341.17973,-729 ],[341.18217,-745 ],[341.18461,-761 ],[341.18705,-777 ],[341.18949,-794 ],[341.19194,-811 ],[341.19438,-829 ],[341.19682,-850 ],[341.19926,-872 ],[341.20170,-894 ],[341.20415,-914 ],[341.20659,-932 ],[341.20903,-951 ],[341.21147,-970 ],[341.21391,-988 ],[341.21636,-1007 ],[341.21880,-1027 ],[341.22124,-1049 ],[341.22368,-1070 ],[341.22612,-1092 ],[341.22857,-1114 ],[341.23101,-1135 ],[341.23345,-1156 ],[341.23589,-1177 ],[341.23833,-1198 ],[341.24078,-1218 ],[341.24322,-1238 ],[341.24566,-1258 ],[341.24810,-1277 ],[341.25054,-1297 ],[341.25299,-1316 ],[341.25543,-1334 ],[341.25787,-1352 ],[341.26031,-1371 ],[341.26275,-1389 ],[341.26520,-1407 ],[341.26764,-1425 ],[341.27008,-1441 ],[341.27252,-1452 ],[341.27496,-1461 ],[341.27741,-1467 ],[341.27985,-1470 ],[341.28229,-1471 ],[341.28473,-1469 ],[341.28717,-1465 ],[341.28962,-1458 ],[341.29206,-1447 ],[341.29450,-1432 ],[341.29694,-1413 ],[341.29938,-1390 ],[341.30183,-1364 ],[341.30427,-1331 ],[341.30671,-1295 ],[341.30915,-1256 ],[341.31159,-1213 ],[341.31404,-1164 ],[341.31648,-1112 ],[341.31892,-1058 ],[341.32136,-1001 ],[341.32380,-940 ],[341.32625,-876 ],[341.32869,-808 ],[341.33113,-737 ],[341.33357,-662 ],[341.33601,-584 ],[341.33846,-503 ],[341.34090,-420 ],[341.34334,-337 ],[341.34578,-252 ],[341.34822,-170 ],[341.35067,-88 ],[341.35311,-8 ],[341.35555,70 ],[341.35799,147 ],[341.36043,225 ],[341.36288,302 ],[341.36532,375 ],[341.36776,446 ],[341.37020,513 ],[341.37264,578 ],[341.37509,642 ],[341.37753,702 ],[341.37997,760 ],[341.38241,815 ],[341.38485,867 ],[341.38730,914 ],[341.38974,957 ],[341.39218,999 ],[341.39462,1038 ],[341.39706,1076 ],[341.39951,1109 ],[341.40195,1141 ],[341.40439,1169 ],[341.40683,1195 ],[341.40927,1218 ],[341.41172,1238 ],[341.41416,1255 ],[341.41660,1268 ],[341.41904,1277 ],[341.42148,1283 ],[341.42393,1285 ],[341.42637,1285 ],[341.42881,1283 ],[341.43125,1279 ],[341.43369,1272 ],[341.43614,1265 ],[341.43858,1257 ],[341.44102,1249 ],[341.44346,1239 ],[341.44590,1227 ],[341.44835,1212 ],[341.45079,1196 ],[341.45323,1178 ],[341.45567,1159 ],[341.45811,1137 ],[341.46056,1112 ],[341.46300,1089 ],[341.46544,1063 ],[341.46788,1037 ],[341.47032,1008 ],[341.47277,982 ],[341.47521,957 ],[341.47765,932 ],[341.48009,910 ],[341.48253,889 ],[341.48498,868 ],[341.48742,849 ],[341.48986,829 ],[341.49230,808 ],[341.49474,789 ],[341.49719,769 ],[341.49963,751 ],[341.50207,733 ],[341.50451,717 ],[341.50695,703 ],[341.50940,689 ],[341.51184,677 ],[341.51428,663 ],[341.51672,649 ],[341.51916,634 ],[341.52161,621 ],[341.52405,609 ],[341.52649,599 ],[341.52893,588 ],[341.53137,578 ],[341.53382,567 ],[341.53626,558 ],[341.53870,548 ],[341.54114,538 ],[341.54358,528 ],[341.54603,517 ],[341.54847,506 ],[341.55091,497 ],[341.55335,489 ],[341.55579,481 ],[341.55824,472 ],[341.56068,461 ],[341.56312,450 ],[341.56556,438 ],[341.56800,427 ],[341.57045,416 ],[341.57289,406 ],[341.57533,398 ],[341.57777,391 ],[341.58021,385 ],[341.58266,379 ],[341.58510,372 ],[341.58754,365 ],[341.58998,358 ],[341.59242,350 ],[341.59487,343 ],[341.59731,336 ],[341.59975,328 ],[341.60219,320 ],[341.60463,312 ],[341.60708,303 ],[341.60952,295 ],[341.61196,285 ],[341.61440,277 ],[341.61684,269 ],[341.61929,263 ],[341.62173,257 ],[341.62417,249 ],[341.62661,241 ],[341.62905,232 ],[341.63150,223 ],[341.63394,214 ],[341.63638,204 ],[341.63882,196 ],[341.64126,191 ],[341.64371,185 ],[341.64615,178 ],[341.64859,172 ],[341.65103,168 ],[341.65347,162 ],[341.65592,155 ],[341.65836,147 ],[341.66080,140 ],[341.66324,134 ],[341.66568,128 ],[341.66813,121 ],[341.67057,116 ],[341.67301,112 ],[341.67545,110 ],[341.67789,107 ],[341.68034,105 ],[341.68278,104 ],[341.68522,104 ],[341.68766,105 ],[341.69010,106 ],[341.69255,105 ],[341.69499,104 ],[341.69743,103 ],[341.69987,102 ],[341.70231,99 ],[341.70476,95 ],[341.70720,91 ],[341.70964,88 ],[341.71208,86 ],[341.71452,86 ],[341.71697,88 ],[341.71941,88 ],[341.72185,89 ],[341.72429,88 ],[341.72673,88 ],[341.72918,87 ],[341.73162,86 ],[341.73406,84 ],[341.73650,81 ],[341.73894,77 ],[341.74139,72 ],[341.74383,68 ],[341.74627,63 ],[341.74871,58 ],[341.75115,52 ],[341.75360,46 ],[341.75604,40 ],[341.75848,35 ],[341.76092,32 ],[341.76336,28 ],[341.76581,25 ],[341.76825,22 ],[341.77069,17 ],[341.77313,11 ],[341.77557,6 ],[341.77802,1 ],[341.78046,-2 ],[341.78290,-5 ],[341.78534,-10 ],[341.78778,-13 ],[341.79023,-16 ],[341.79267,-18 ],[341.79511,-20 ],[341.79755,-21 ],[341.8,-24 ],[]
| 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