🏠
🏠
import numpy as np
import matplotlib.pyplot as plt
#fig, ax = plt.subplots(figsize=(2.9, 2.1))
fig, ax = plt.subplots()
#----------------
#_📈_158_HSー100 のＥＳＲスペクトル [4ｍｗ・マンガン無]
xy_158 = [(326.8,2) \
, (326.80488,2) \
, (326.80976,3) \
, (326.81465,2) \
, (326.81953,1) \
, (326.82442,0) \
, (326.82930,0) \
, (326.83418,0) \
, (326.83907,0) \
, (326.84395,1) \
, (326.84884,1) \
, (326.85372,1) \
, (326.85860,1) \
, (326.86349,1) \
, (326.86837,1) \
, (326.87326,1) \
, (326.87814,2) \
, (326.88302,2) \
, (326.88791,2) \
, (326.89279,2) \
, (326.89768,2) \
, (326.90256,1) \
, (326.90744,2) \
, (326.91233,1) \
, (326.91721,0) \
, (326.92210,0) \
, (326.92698,-1) \
, (326.93186,0) \
, (326.93675,1) \
, (326.94163,2) \
, (326.94652,1) \
, (326.95140,1) \
, (326.95628,1) \
, (326.96117,1) \
, (326.96605,1) \
, (326.97094,2) \
, (326.97582,1) \
, (326.98070,1) \
, (326.98559,1) \
, (326.99047,1) \
, (326.99536,2) \
, (327.00024,2) \
, (327.00512,2) \
, (327.01001,2) \
, (327.01489,2) \
, (327.01978,2) \
, (327.02466,2) \
, (327.02954,1) \
, (327.03443,1) \
, (327.03931,1) \
, (327.04420,1) \
, (327.04908,1) \
, (327.05396,1) \
, (327.05885,2) \
, (327.06373,2) \
, (327.06862,2) \
, (327.07350,2) \
, (327.07838,2) \
, (327.08327,1) \
, (327.08815,2) \
, (327.09304,2) \
, (327.09792,1) \
, (327.10280,1) \
, (327.10769,2) \
, (327.11257,2) \
, (327.11746,1) \
, (327.12234,2) \
, (327.12722,1) \
, (327.13211,2) \
, (327.13699,2) \
, (327.14188,2) \
, (327.14676,2) \
, (327.15164,2) \
, (327.15653,1) \
, (327.16141,1) \
, (327.16630,0) \
, (327.17118,0) \
, (327.17606,0) \
, (327.18095,0) \
, (327.18583,0) \
, (327.19072,1) \
, (327.19560,2) \
, (327.20048,1) \
, (327.20537,1) \
, (327.21025,1) \
, (327.21514,1) \
, (327.22002,1) \
, (327.22490,1) \
, (327.22979,1) \
, (327.23467,1) \
, (327.23956,1) \
, (327.24444,2) \
, (327.24932,3) \
, (327.25421,2) \
, (327.25909,2) \
, (327.26398,2) \
, (327.26886,1) \
, (327.27374,1) \
, (327.27863,1) \
, (327.28351,0) \
, (327.28840,0) \
, (327.29328,0) \
, (327.29816,0) \
, (327.30305,0) \
, (327.30793,1) \
, (327.31282,2) \
, (327.31770,2) \
, (327.32258,1) \
, (327.32747,1) \
, (327.33235,2) \
, (327.33724,2) \
, (327.34212,2) \
, (327.34700,2) \
, (327.35189,2) \
, (327.35677,1) \
, (327.36166,1) \
, (327.36654,2) \
, (327.37142,2) \
, (327.37631,2) \
, (327.38119,2) \
, (327.38608,1) \
, (327.39096,1) \
, (327.39584,2) \
, (327.40073,2) \
, (327.40561,3) \
, (327.41050,3) \
, (327.41538,1) \
, (327.42026,0) \
, (327.42515,0) \
, (327.43003,2) \
, (327.43492,2) \
, (327.43980,1) \
, (327.44468,1) \
, (327.44957,1) \
, (327.45445,3) \
, (327.45934,3) \
, (327.46422,3) \
, (327.46910,2) \
, (327.47399,2) \
, (327.47887,2) \
, (327.48376,0) \
, (327.48864,-1) \
, (327.49352,-1) \
, (327.49841,1) \
, (327.50329,1) \
, (327.50818,1) \
, (327.51306,2) \
, (327.51794,2) \
, (327.52283,2) \
, (327.52771,2) \
, (327.53260,2) \
, (327.53748,2) \
, (327.54236,2) \
, (327.54725,2) \
, (327.55213,2) \
, (327.55702,1) \
, (327.56190,1) \
, (327.56678,1) \
, (327.57167,1) \
, (327.57655,1) \
, (327.58144,1) \
, (327.58632,1) \
, (327.59120,1) \
, (327.59609,1) \
, (327.60097,2) \
, (327.60586,1) \
, (327.61074,1) \
, (327.61562,1) \
, (327.62051,1) \
, (327.62539,1) \
, (327.63028,2) \
, (327.63516,2) \
, (327.64004,1) \
, (327.64493,1) \
, (327.64981,0) \
, (327.65470,0) \
, (327.65958,0) \
, (327.66446,0) \
, (327.66935,0) \
, (327.67423,1) \
, (327.67912,2) \
, (327.68400,2) \
, (327.68888,3) \
, (327.69377,3) \
, (327.69865,2) \
, (327.70354,2) \
, (327.70842,1) \
, (327.71330,2) \
, (327.71819,1) \
, (327.72307,0) \
, (327.72796,0) \
, (327.73284,0) \
, (327.73772,1) \
, (327.74261,2) \
, (327.74749,1) \
, (327.75238,1) \
, (327.75726,1) \
, (327.76214,0) \
, (327.76703,1) \
, (327.77191,1) \
, (327.77680,2) \
, (327.78168,1) \
, (327.78656,2) \
, (327.79145,2) \
, (327.79633,2) \
, (327.80122,2) \
, (327.80610,1) \
, (327.81098,1) \
, (327.81587,1) \
, (327.82075,1) \
, (327.82564,1) \
, (327.83052,2) \
, (327.83540,1) \
, (327.84029,0) \
, (327.84517,0) \
, (327.85006,0) \
, (327.85494,0) \
, (327.85982,0) \
, (327.86471,1) \
, (327.86959,2) \
, (327.87448,2) \
, (327.87936,2) \
, (327.88424,3) \
, (327.88913,3) \
, (327.89401,2) \
, (327.89890,2) \
, (327.90378,3) \
, (327.90866,4) \
, (327.91355,4) \
, (327.91843,3) \
, (327.92332,2) \
, (327.92820,1) \
, (327.93308,2) \
, (327.93797,2) \
, (327.94285,2) \
, (327.94774,2) \
, (327.95262,2) \
, (327.95750,1) \
, (327.96239,1) \
, (327.96727,1) \
, (327.97216,1) \
, (327.97704,1) \
, (327.98192,0) \
, (327.98681,1) \
, (327.99169,1) \
, (327.99658,2) \
, (328.00146,2) \
, (328.00634,1) \
, (328.01123,1) \
, (328.01611,1) \
, (328.02100,1) \
, (328.02588,1) \
, (328.03076,1) \
, (328.03565,1) \
, (328.04053,1) \
, (328.04542,2) \
]
z_158 = [list(t) for t in zip(*xy_158)]; x_158 = z_158[0]; y_158 = z_158[1]
ax.scatter(x_158, y_158)
ax.plot(x_158, y_158)
ax.annotate('ID=158' \
, xy=(np.mean(x_158),np.mean(y_158)) \
, xytext=(np.mean(x_158)+ np.std(y_158), np.mean(y_158) + np.std(y_158)) \
, 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 | 326.8 |
| xmax | 346.8 |
| ymin | -987.9 |
| ymax | 1031.59 |
,[326.8,2 ],[326.80488,2 ],[326.80976,3 ],[326.81465,2 ],[326.81953,1 ],[326.82442,0 ],[326.82930,0 ],[326.83418,0 ],[326.83907,0 ],[326.84395,1 ],[326.84884,1 ],[326.85372,1 ],[326.85860,1 ],[326.86349,1 ],[326.86837,1 ],[326.87326,1 ],[326.87814,2 ],[326.88302,2 ],[326.88791,2 ],[326.89279,2 ],[326.89768,2 ],[326.90256,1 ],[326.90744,2 ],[326.91233,1 ],[326.91721,0 ],[326.92210,0 ],[326.92698,-1 ],[326.93186,0 ],[326.93675,1 ],[326.94163,2 ],[326.94652,1 ],[326.95140,1 ],[326.95628,1 ],[326.96117,1 ],[326.96605,1 ],[326.97094,2 ],[326.97582,1 ],[326.98070,1 ],[326.98559,1 ],[326.99047,1 ],[326.99536,2 ],[327.00024,2 ],[327.00512,2 ],[327.01001,2 ],[327.01489,2 ],[327.01978,2 ],[327.02466,2 ],[327.02954,1 ],[327.03443,1 ],[327.03931,1 ],[327.04420,1 ],[327.04908,1 ],[327.05396,1 ],[327.05885,2 ],[327.06373,2 ],[327.06862,2 ],[327.07350,2 ],[327.07838,2 ],[327.08327,1 ],[327.08815,2 ],[327.09304,2 ],[327.09792,1 ],[327.10280,1 ],[327.10769,2 ],[327.11257,2 ],[327.11746,1 ],[327.12234,2 ],[327.12722,1 ],[327.13211,2 ],[327.13699,2 ],[327.14188,2 ],[327.14676,2 ],[327.15164,2 ],[327.15653,1 ],[327.16141,1 ],[327.16630,0 ],[327.17118,0 ],[327.17606,0 ],[327.18095,0 ],[327.18583,0 ],[327.19072,1 ],[327.19560,2 ],[327.20048,1 ],[327.20537,1 ],[327.21025,1 ],[327.21514,1 ],[327.22002,1 ],[327.22490,1 ],[327.22979,1 ],[327.23467,1 ],[327.23956,1 ],[327.24444,2 ],[327.24932,3 ],[327.25421,2 ],[327.25909,2 ],[327.26398,2 ],[327.26886,1 ],[327.27374,1 ],[327.27863,1 ],[327.28351,0 ],[327.28840,0 ],[327.29328,0 ],[327.29816,0 ],[327.30305,0 ],[327.30793,1 ],[327.31282,2 ],[327.31770,2 ],[327.32258,1 ],[327.32747,1 ],[327.33235,2 ],[327.33724,2 ],[327.34212,2 ],[327.34700,2 ],[327.35189,2 ],[327.35677,1 ],[327.36166,1 ],[327.36654,2 ],[327.37142,2 ],[327.37631,2 ],[327.38119,2 ],[327.38608,1 ],[327.39096,1 ],[327.39584,2 ],[327.40073,2 ],[327.40561,3 ],[327.41050,3 ],[327.41538,1 ],[327.42026,0 ],[327.42515,0 ],[327.43003,2 ],[327.43492,2 ],[327.43980,1 ],[327.44468,1 ],[327.44957,1 ],[327.45445,3 ],[327.45934,3 ],[327.46422,3 ],[327.46910,2 ],[327.47399,2 ],[327.47887,2 ],[327.48376,0 ],[327.48864,-1 ],[327.49352,-1 ],[327.49841,1 ],[327.50329,1 ],[327.50818,1 ],[327.51306,2 ],[327.51794,2 ],[327.52283,2 ],[327.52771,2 ],[327.53260,2 ],[327.53748,2 ],[327.54236,2 ],[327.54725,2 ],[327.55213,2 ],[327.55702,1 ],[327.56190,1 ],[327.56678,1 ],[327.57167,1 ],[327.57655,1 ],[327.58144,1 ],[327.58632,1 ],[327.59120,1 ],[327.59609,1 ],[327.60097,2 ],[327.60586,1 ],[327.61074,1 ],[327.61562,1 ],[327.62051,1 ],[327.62539,1 ],[327.63028,2 ],[327.63516,2 ],[327.64004,1 ],[327.64493,1 ],[327.64981,0 ],[327.65470,0 ],[327.65958,0 ],[327.66446,0 ],[327.66935,0 ],[327.67423,1 ],[327.67912,2 ],[327.68400,2 ],[327.68888,3 ],[327.69377,3 ],[327.69865,2 ],[327.70354,2 ],[327.70842,1 ],[327.71330,2 ],[327.71819,1 ],[327.72307,0 ],[327.72796,0 ],[327.73284,0 ],[327.73772,1 ],[327.74261,2 ],[327.74749,1 ],[327.75238,1 ],[327.75726,1 ],[327.76214,0 ],[327.76703,1 ],[327.77191,1 ],[327.77680,2 ],[327.78168,1 ],[327.78656,2 ],[327.79145,2 ],[327.79633,2 ],[327.80122,2 ],[327.80610,1 ],[327.81098,1 ],[327.81587,1 ],[327.82075,1 ],[327.82564,1 ],[327.83052,2 ],[327.83540,1 ],[327.84029,0 ],[327.84517,0 ],[327.85006,0 ],[327.85494,0 ],[327.85982,0 ],[327.86471,1 ],[327.86959,2 ],[327.87448,2 ],[327.87936,2 ],[327.88424,3 ],[327.88913,3 ],[327.89401,2 ],[327.89890,2 ],[327.90378,3 ],[327.90866,4 ],[327.91355,4 ],[327.91843,3 ],[327.92332,2 ],[327.92820,1 ],[327.93308,2 ],[327.93797,2 ],[327.94285,2 ],[327.94774,2 ],[327.95262,2 ],[327.95750,1 ],[327.96239,1 ],[327.96727,1 ],[327.97216,1 ],[327.97704,1 ],[327.98192,0 ],[327.98681,1 ],[327.99169,1 ],[327.99658,2 ],[328.00146,2 ],[328.00634,1 ],[328.01123,1 ],[328.01611,1 ],[328.02100,1 ],[328.02588,1 ],[328.03076,1 ],[328.03565,1 ],[328.04053,1 ],[328.04542,2 ],[328.05030,3 ],[328.05518,2 ],[328.06007,2 ],[328.06495,2 ],[328.06984,1 ],[328.07472,1 ],[328.07960,2 ],[328.08449,2 ],[328.08937,1 ],[328.09426,1 ],[328.09914,2 ],[328.10402,3 ],[328.10891,3 ],[328.11379,2 ],[328.11868,1 ],[328.12356,1 ],[328.12844,2 ],[328.13333,2 ],[328.13821,2 ],[328.14310,1 ],[328.14798,1 ],[328.15286,0 ],[328.15775,0 ],[328.16263,0 ],[328.16752,1 ],[328.17240,2 ],[328.17728,2 ],[328.18217,2 ],[328.18705,1 ],[328.19194,1 ],[328.19682,2 ],[328.20170,2 ],[328.20659,3 ],[328.21147,2 ],[328.21636,2 ],[328.22124,2 ],[328.22612,1 ],[328.23101,1 ],[328.23589,1 ],[328.24078,1 ],[328.24566,2 ],[328.25054,1 ],[328.25543,1 ],[328.26031,2 ],[328.26520,2 ],[328.27008,2 ],[328.27496,2 ],[328.27985,2 ],[328.28473,1 ],[328.28962,1 ],[328.29450,2 ],[328.29938,2 ],[328.30427,2 ],[328.30915,1 ],[328.31404,0 ],[328.31892,0 ],[328.32380,0 ],[328.32869,1 ],[328.33357,2 ],[328.33846,2 ],[328.34334,3 ],[328.34822,3 ],[328.35311,2 ],[328.35799,1 ],[328.36288,1 ],[328.36776,2 ],[328.37264,1 ],[328.37753,1 ],[328.38241,2 ],[328.38730,2 ],[328.39218,2 ],[328.39706,2 ],[328.40195,2 ],[328.40683,1 ],[328.41172,1 ],[328.41660,2 ],[328.42148,2 ],[328.42637,1 ],[328.43125,2 ],[328.43614,2 ],[328.44102,2 ],[328.44590,2 ],[328.45079,2 ],[328.45567,2 ],[328.46056,1 ],[328.46544,0 ],[328.47032,0 ],[328.47521,0 ],[328.48009,1 ],[328.48498,2 ],[328.48986,2 ],[328.49474,1 ],[328.49963,1 ],[328.50451,2 ],[328.50940,2 ],[328.51428,2 ],[328.51916,2 ],[328.52405,2 ],[328.52893,2 ],[328.53382,2 ],[328.53870,1 ],[328.54358,1 ],[328.54847,0 ],[328.55335,1 ],[328.55824,0 ],[328.56312,0 ],[328.56800,0 ],[328.57289,0 ],[328.57777,1 ],[328.58266,1 ],[328.58754,2 ],[328.59242,1 ],[328.59731,2 ],[328.60219,2 ],[328.60708,2 ],[328.61196,2 ],[328.61684,1 ],[328.62173,1 ],[328.62661,2 ],[328.63150,2 ],[328.63638,2 ],[328.64126,1 ],[328.64615,0 ],[328.65103,0 ],[328.65592,1 ],[328.66080,0 ],[328.66568,1 ],[328.67057,1 ],[328.67545,1 ],[328.68034,1 ],[328.68522,1 ],[328.69010,0 ],[328.69499,0 ],[328.69987,0 ],[328.70476,0 ],[328.70964,1 ],[328.71452,1 ],[328.71941,0 ],[328.72429,0 ],[328.72918,1 ],[328.73406,1 ],[328.73894,2 ],[328.74383,2 ],[328.74871,1 ],[328.75360,1 ],[328.75848,2 ],[328.76336,1 ],[328.76825,1 ],[328.77313,1 ],[328.77802,1 ],[328.78290,1 ],[328.78778,1 ],[328.79267,1 ],[328.79755,2 ],[328.80244,2 ],[328.80732,1 ],[328.81221,2 ],[328.81709,2 ],[328.82197,2 ],[328.82686,3 ],[328.83174,3 ],[328.83663,2 ],[328.84151,2 ],[328.84639,2 ],[328.85128,2 ],[328.85616,3 ],[328.86105,2 ],[328.86593,1 ],[328.87081,1 ],[328.87570,1 ],[328.88058,1 ],[328.88547,1 ],[328.89035,1 ],[328.89523,1 ],[328.90012,1 ],[328.90500,1 ],[328.90989,0 ],[328.91477,0 ],[328.91965,0 ],[328.92454,0 ],[328.92942,1 ],[328.93431,0 ],[328.93919,0 ],[328.94407,0 ],[328.94896,0 ],[328.95384,0 ],[328.95873,0 ],[328.96361,1 ],[328.96849,2 ],[328.97338,2 ],[328.97826,2 ],[328.98315,2 ],[328.98803,1 ],[328.99291,1 ],[328.99780,1 ],[329.00268,2 ],[329.00757,2 ],[329.01245,2 ],[329.01733,2 ],[329.02222,3 ],[329.02710,3 ],[329.03199,2 ],[329.03687,1 ],[329.04175,1 ],[329.04664,1 ],[329.05152,1 ],[329.05641,1 ],[329.06129,2 ],[329.06617,2 ],[329.07106,2 ],[329.07594,2 ],[329.08083,2 ],[329.08571,2 ],[329.09059,3 ],[329.09548,2 ],[329.10036,2 ],[329.10525,2 ],[329.11013,2 ],[329.11501,2 ],[329.11990,1 ],[329.12478,0 ],[329.12967,0 ],[329.13455,0 ],[329.13943,1 ],[329.14432,2 ],[329.14920,2 ],[329.15409,3 ],[329.15897,3 ],[329.16385,3 ],[329.16874,3 ],[329.17362,3 ],[329.17851,2 ],[329.18339,2 ],[329.18827,2 ],[329.19316,3 ],[329.19804,2 ],[329.20293,2 ],[329.20781,2 ],[329.21269,2 ],[329.21758,2 ],[329.22246,3 ],[329.22735,2 ],[329.23223,1 ],[329.23711,0 ],[329.24200,2 ],[329.24688,2 ],[329.25177,1 ],[329.25665,1 ],[329.26153,1 ],[329.26642,1 ],[329.27130,0 ],[329.27619,1 ],[329.28107,2 ],[329.28595,3 ],[329.29084,3 ],[329.29572,3 ],[329.30061,3 ],[329.30549,3 ],[329.31037,3 ],[329.31526,2 ],[329.32014,1 ],[329.32503,1 ],[329.32991,1 ],[329.33479,2 ],[329.33968,1 ],[329.34456,1 ],[329.34945,1 ],[329.35433,1 ],[329.35921,1 ],[329.36410,2 ],[329.36898,2 ],[329.37387,3 ],[329.37875,3 ],[329.38363,2 ],[329.38852,2 ],[329.39340,2 ],[329.39829,1 ],[329.40317,1 ],[329.40805,2 ],[329.41294,2 ],[329.41782,1 ],[329.42271,2 ],[329.42759,1 ],[329.43247,-1 ],[329.43736,-1 ],[329.44224,0 ],[329.44713,0 ],[329.45201,0 ],[329.45689,0 ],[329.46178,0 ],[329.46666,0 ],[329.47155,0 ],[329.47643,0 ],[329.48131,0 ],[329.48620,1 ],[329.49108,1 ],[329.49597,0 ],[329.50085,0 ],[329.50573,1 ],[329.51062,1 ],[329.51550,1 ],[329.52039,2 ],[329.52527,2 ],[329.53015,2 ],[329.53504,3 ],[329.53992,3 ],[329.54481,3 ],[329.54969,2 ],[329.55457,2 ],[329.55946,2 ],[329.56434,1 ],[329.56923,1 ],[329.57411,1 ],[329.57899,0 ],[329.58388,1 ],[329.58876,1 ],[329.59365,1 ],[329.59853,0 ],[329.60341,0 ],[329.60830,1 ],[329.61318,1 ],[329.61807,1 ],[329.62295,1 ],[329.62783,2 ],[329.63272,2 ],[329.63760,2 ],[329.64249,2 ],[329.64737,1 ],[329.65225,1 ],[329.65714,0 ],[329.66202,0 ],[329.66691,1 ],[329.67179,1 ],[329.67667,2 ],[329.68156,1 ],[329.68644,0 ],[329.69133,1 ],[329.69621,1 ],[329.70109,1 ],[329.70598,1 ],[329.71086,2 ],[329.71575,1 ],[329.72063,1 ],[329.72551,0 ],[329.73040,0 ],[329.73528,0 ],[329.74017,0 ],[329.74505,1 ],[329.74993,1 ],[329.75482,1 ],[329.75970,1 ],[329.76459,2 ],[329.76947,1 ],[329.77435,1 ],[329.77924,2 ],[329.78412,2 ],[329.78901,1 ],[329.79389,1 ],[329.79877,1 ],[329.80366,1 ],[329.80854,2 ],[329.81343,0 ],[329.81831,-1 ],[329.82319,0 ],[329.82808,0 ],[329.83296,1 ],[329.83785,2 ],[329.84273,2 ],[329.84761,2 ],[329.85250,2 ],[329.85738,2 ],[329.86227,0 ],[329.86715,0 ],[329.87203,0 ],[329.87692,1 ],[329.88180,2 ],[329.88669,2 ],[329.89157,1 ],[329.89645,0 ],[329.90134,0 ],[329.90622,0 ],[329.91111,1 ],[329.91599,1 ],[329.92087,2 ],[329.92576,2 ],[329.93064,1 ],[329.93553,0 ],[329.94041,1 ],[329.94529,1 ],[329.95018,1 ],[329.95506,1 ],[329.95995,2 ],[329.96483,1 ],[329.96971,0 ],[329.97460,0 ],[329.97948,0 ],[329.98437,0 ],[329.98925,1 ],[329.99413,1 ],[329.99902,2 ],[330.00390,3 ],[330.00879,2 ],[330.01367,2 ],[330.01855,1 ],[330.02344,0 ],[330.02832,1 ],[330.03321,2 ],[330.03809,3 ],[330.04297,3 ],[330.04786,3 ],[330.05274,3 ],[330.05763,2 ],[330.06251,2 ],[330.06739,2 ],[330.07228,2 ],[330.07716,1 ],[330.08205,1 ],[330.08693,0 ],[330.09181,0 ],[330.09670,0 ],[330.10158,0 ],[330.10647,1 ],[330.11135,2 ],[330.11623,2 ],[330.12112,2 ],[330.12600,2 ],[330.13089,2 ],[330.13577,2 ],[330.14065,2 ],[330.14554,1 ],[330.15042,1 ],[330.15531,1 ],[330.16019,1 ],[330.16507,2 ],[330.16996,3 ],[330.17484,2 ],[330.17973,2 ],[330.18461,1 ],[330.18949,1 ],[330.19438,1 ],[330.19926,1 ],[330.20415,2 ],[330.20903,1 ],[330.21391,1 ],[330.21880,1 ],[330.22368,0 ],[330.22857,0 ],[330.23345,0 ],[330.23833,0 ],[330.24322,0 ],[330.24810,1 ],[330.25299,2 ],[330.25787,2 ],[330.26275,2 ],[330.26764,2 ],[330.27252,2 ],[330.27741,2 ],[330.28229,2 ],[330.28717,1 ],[330.29206,1 ],[330.29694,2 ],[330.30183,2 ],[330.30671,3 ],[330.31159,3 ],[330.31648,2 ],[330.32136,2 ],[330.32625,1 ],[330.33113,1 ],[330.33601,1 ],[330.34090,2 ],[330.34578,1 ],[330.35067,2 ],[330.35555,1 ],[330.36043,0 ],[330.36532,-1 ],[330.37020,0 ],[330.37509,0 ],[330.37997,1 ],[330.38485,1 ],[330.38974,1 ],[330.39462,0 ],[330.39951,0 ],[330.40439,1 ],[330.40927,2 ],[330.41416,1 ],[330.41904,1 ],[330.42393,0 ],[330.42881,1 ],[330.43369,1 ],[330.43858,1 ],[330.44346,1 ],[330.44835,1 ],[330.45323,1 ],[330.45811,1 ],[330.46300,2 ],[330.46788,2 ],[330.47277,3 ],[330.47765,2 ],[330.48253,2 ],[330.48742,2 ],[330.49230,1 ],[330.49719,1 ],[330.50207,1 ],[330.50695,0 ],[330.51184,0 ],[330.51672,1 ],[330.52161,2 ],[330.52649,2 ],[330.53137,2 ],[330.53626,2 ],[330.54114,1 ],[330.54603,1 ],[330.55091,1 ],[330.55579,2 ],[330.56068,1 ],[330.56556,0 ],[330.57045,1 ],[330.57533,1 ],[330.58021,1 ],[330.58510,1 ],[330.58998,1 ],[330.59487,1 ],[330.59975,1 ],[330.60463,1 ],[330.60952,1 ],[330.61440,1 ],[330.61929,1 ],[330.62417,2 ],[330.62905,2 ],[330.63394,1 ],[330.63882,0 ],[330.64371,0 ],[330.64859,0 ],[330.65347,1 ],[330.65836,2 ],[330.66324,2 ],[330.66813,2 ],[330.67301,2 ],[330.67789,2 ],[330.68278,2 ],[330.68766,1 ],[330.69255,0 ],[330.69743,0 ],[330.70231,0 ],[330.70720,1 ],[330.71208,2 ],[330.71697,3 ],[330.72185,3 ],[330.72673,2 ],[330.73162,2 ],[330.73650,1 ],[330.74139,2 ],[330.74627,1 ],[330.75115,1 ],[330.75604,1 ],[330.76092,1 ],[330.76581,1 ],[330.77069,0 ],[330.77557,1 ],[330.78046,1 ],[330.78534,1 ],[330.79023,1 ],[330.79511,1 ],[330.8,1 ],[330.80488,3 ],[330.80976,3 ],[330.81465,2 ],[330.81953,2 ],[330.82442,2 ],[330.82930,1 ],[330.83418,2 ],[330.83907,1 ],[330.84395,2 ],[330.84884,2 ],[330.85372,2 ],[330.85860,2 ],[330.86349,2 ],[330.86837,2 ],[330.87326,2 ],[330.87814,2 ],[330.88302,1 ],[330.88791,0 ],[330.89279,0 ],[330.89768,0 ],[330.90256,1 ],[330.90744,1 ],[330.91233,1 ],[330.91721,1 ],[330.92210,0 ],[330.92698,0 ],[330.93186,0 ],[330.93675,1 ],[330.94163,1 ],[330.94652,1 ],[330.95140,1 ],[330.95628,2 ],[330.96117,3 ],[330.96605,3 ],[330.97094,2 ],[330.97582,2 ],[330.98070,2 ],[330.98559,2 ],[330.99047,2 ],[330.99536,2 ],[331.00024,1 ],[331.00512,1 ],[331.01001,1 ],[331.01489,1 ],[331.01978,2 ],[331.02466,2 ],[331.02954,2 ],[331.03443,2 ],[331.03931,1 ],[331.04420,1 ],[331.04908,2 ],[331.05396,2 ],[331.05885,2 ],[331.06373,2 ],[331.06862,2 ],[331.07350,1 ],[331.07838,1 ],[331.08327,1 ],[331.08815,2 ],[331.09304,3 ],[331.09792,3 ],[331.10280,2 ],[331.10769,2 ],[331.11257,1 ],[331.11746,1 ],[331.12234,0 ],[331.12722,1 ],[331.13211,1 ],[331.13699,1 ],[331.14188,1 ],[331.14676,2 ],[331.15164,1 ],[331.15653,1 ],[331.16141,0 ],[331.16630,1 ],[331.17118,2 ],[331.17606,2 ],[331.18095,2 ],[331.18583,1 ],[331.19072,1 ],[331.19560,2 ],[331.20048,2 ],[331.20537,1 ],[331.21025,1 ],[331.21514,1 ],[331.22002,0 ],[331.22490,0 ],[331.22979,0 ],[331.23467,1 ],[331.23956,2 ],[331.24444,2 ],[331.24932,2 ],[331.25421,3 ],[331.25909,3 ],[331.26398,2 ],[331.26886,2 ],[331.27374,2 ],[331.27863,1 ],[331.28351,1 ],[331.28840,1 ],[331.29328,1 ],[331.29816,1 ],[331.30305,2 ],[331.30793,3 ],[331.31282,3 ],[331.31770,3 ],[331.32258,1 ],[331.32747,0 ],[331.33235,0 ],[331.33724,0 ],[331.34212,1 ],[331.34700,1 ],[331.35189,1 ],[331.35677,1 ],[331.36166,2 ],[331.36654,3 ],[331.37142,3 ],[331.37631,2 ],[331.38119,1 ],[331.38608,2 ],[331.39096,2 ],[331.39584,2 ],[331.40073,2 ],[331.40561,3 ],[331.41050,3 ],[331.41538,3 ],[331.42026,2 ],[331.42515,0 ],[331.43003,0 ],[331.43492,1 ],[331.43980,0 ],[331.44468,0 ],[331.44957,0 ],[331.45445,1 ],[331.45934,1 ],[331.46422,2 ],[331.46910,2 ],[331.47399,2 ],[331.47887,2 ],[331.48376,2 ],[331.48864,0 ],[331.49352,0 ],[331.49841,0 ],[331.50329,1 ],[331.50818,0 ],[331.51306,1 ],[331.51794,2 ],[331.52283,2 ],[331.52771,2 ],[331.53260,3 ],[331.53748,2 ],[331.54236,2 ],[331.54725,2 ],[331.55213,3 ],[331.55702,3 ],[331.56190,3 ],[331.56678,2 ],[331.57167,1 ],[331.57655,1 ],[331.58144,1 ],[331.58632,1 ],[331.59120,2 ],[331.59609,2 ],[331.60097,2 ],[331.60586,2 ],[331.61074,2 ],[331.61562,1 ],[331.62051,0 ],[331.62539,0 ],[331.63028,2 ],[331.63516,2 ],[331.64004,2 ],[331.64493,2 ],[331.64981,2 ],[331.65470,1 ],[331.65958,0 ],[331.66446,0 ],[331.66935,1 ],[331.67423,1 ],[331.67912,0 ],[331.68400,1 ],[331.68888,2 ],[331.69377,3 ],[331.69865,2 ],[331.70354,2 ],[331.70842,2 ],[331.71330,1 ],[331.71819,0 ],[331.72307,0 ],[331.72796,0 ],[331.73284,0 ],[331.73772,0 ],[331.74261,1 ],[331.74749,1 ],[331.75238,1 ],[331.75726,1 ],[331.76214,1 ],[331.76703,0 ],[331.77191,0 ],[331.77680,1 ],[331.78168,2 ],[331.78656,2 ],[331.79145,2 ],[331.79633,1 ],[331.80122,1 ],[331.80610,2 ],[331.81098,1 ],[331.81587,1 ],[331.82075,1 ],[331.82564,1 ],[331.83052,1 ],[331.83540,1 ],[331.84029,1 ],[331.84517,1 ],[331.85006,1 ],[331.85494,1 ],[331.85982,1 ],[331.86471,1 ],[331.86959,0 ],[331.87448,0 ],[331.87936,0 ],[331.88424,1 ],[331.88913,1 ],[331.89401,0 ],[331.89890,1 ],[331.90378,1 ],[331.90866,0 ],[331.91355,0 ],[331.91843,0 ],[331.92332,0 ],[331.92820,0 ],[331.93308,1 ],[331.93797,1 ],[331.94285,0 ],[331.94774,0 ],[331.95262,0 ],[331.95750,2 ],[331.96239,2 ],[331.96727,2 ],[331.97216,2 ],[331.97704,2 ],[331.98192,1 ],[331.98681,1 ],[331.99169,1 ],[331.99658,1 ],[332.00146,1 ],[332.00634,1 ],[332.01123,0 ],[332.01611,0 ],[332.02100,1 ],[332.02588,2 ],[332.03076,3 ],[332.03565,3 ],[332.04053,3 ],[332.04542,2 ],[332.05030,1 ],[332.05518,0 ],[332.06007,0 ],[332.06495,0 ],[332.06984,0 ],[332.07472,1 ],[332.07960,1 ],[332.08449,1 ],[332.08937,0 ],[332.09426,-1 ],[332.09914,0 ],[332.10402,1 ],[332.10891,2 ],[332.11379,2 ],[332.11868,1 ],[332.12356,2 ],[332.12844,2 ],[332.13333,2 ],[332.13821,3 ],[332.14310,3 ],[332.14798,3 ],[332.15286,2 ],[332.15775,2 ],[332.16263,1 ],[332.16752,0 ],[332.17240,1 ],[332.17728,1 ],[332.18217,1 ],[332.18705,0 ],[332.19194,1 ],[332.19682,1 ],[332.20170,2 ],[332.20659,1 ],[332.21147,0 ],[332.21636,0 ],[332.22124,1 ],[332.22612,1 ],[332.23101,1 ],[332.23589,2 ],[332.24078,2 ],[332.24566,1 ],[332.25054,0 ],[332.25543,1 ],[332.26031,1 ],[332.26520,1 ],[332.27008,0 ],[332.27496,1 ],[332.27985,1 ],[332.28473,1 ],[332.28962,1 ],[332.29450,1 ],[332.29938,1 ],[332.30427,0 ],[332.30915,0 ],[332.31404,1 ],[332.31892,1 ],[332.32380,1 ],[332.32869,0 ],[332.33357,0 ],[332.33846,0 ],[332.34334,1 ],[332.34822,2 ],[332.35311,2 ],[332.35799,2 ],[332.36288,2 ],[332.36776,2 ],[332.37264,2 ],[332.37753,1 ],[332.38241,1 ],[332.38730,1 ],[332.39218,1 ],[332.39706,1 ],[332.40195,0 ],[332.40683,1 ],[332.41172,2 ],[332.41660,2 ],[332.42148,2 ],[332.42637,2 ],[332.43125,2 ],[332.43614,1 ],[332.44102,1 ],[332.44590,1 ],[332.45079,2 ],[332.45567,2 ],[332.46056,1 ],[332.46544,0 ],[332.47032,1 ],[332.47521,1 ],[332.48009,1 ],[332.48498,0 ],[332.48986,1 ],[332.49474,2 ],[332.49963,2 ],[332.50451,1 ],[332.50940,1 ],[332.51428,2 ],[332.51916,2 ],[332.52405,1 ],[332.52893,2 ],[332.53382,1 ],[332.53870,1 ],[332.54358,2 ],[332.54847,2 ],[332.55335,2 ],[332.55824,2 ],[332.56312,1 ],[332.56800,0 ],[332.57289,0 ],[332.57777,0 ],[332.58266,0 ],[332.58754,1 ],[332.59242,1 ],[332.59731,1 ],[332.60219,1 ],[332.60708,2 ],[332.61196,3 ],[332.61684,3 ],[332.62173,2 ],[332.62661,2 ],[332.63150,2 ],[332.63638,1 ],[332.64126,2 ],[332.64615,1 ],[332.65103,1 ],[332.65592,1 ],[332.66080,1 ],[332.66568,1 ],[332.67057,0 ],[332.67545,1 ],[332.68034,1 ],[332.68522,2 ],[332.69010,2 ],[332.69499,1 ],[332.69987,1 ],[332.70476,2 ],[332.70964,1 ],[332.71452,1 ],[332.71941,1 ],[332.72429,0 ],[332.72918,1 ],[332.73406,1 ],[332.73894,2 ],[332.74383,2 ],[332.74871,2 ],[332.75360,2 ],[332.75848,2 ],[332.76336,2 ],[332.76825,2 ],[332.77313,2 ],[332.77802,1 ],[332.78290,1 ],[332.78778,1 ],[332.79267,1 ],[332.79755,1 ],[332.80244,1 ],[332.80732,2 ],[332.81221,1 ],[332.81709,2 ],[332.82197,2 ],[332.82686,2 ],[332.83174,1 ],[332.83663,1 ],[332.84151,1 ],[332.84639,0 ],[332.85128,0 ],[332.85616,1 ],[332.86105,2 ],[332.86593,2 ],[332.87081,2 ],[332.87570,2 ],[332.88058,2 ],[332.88547,2 ],[332.89035,2 ],[332.89523,3 ],[332.90012,2 ],[332.90500,2 ],[332.90989,1 ],[332.91477,1 ],[332.91965,1 ],[332.92454,2 ],[332.92942,2 ],[332.93431,2 ],[332.93919,2 ],[332.94407,2 ],[332.94896,1 ],[332.95384,0 ],[332.95873,0 ],[332.96361,0 ],[332.96849,0 ],[332.97338,1 ],[332.97826,1 ],[332.98315,2 ],[332.98803,1 ],[332.99291,1 ],[332.99780,2 ],[333.00268,1 ],[333.00757,1 ],[333.01245,2 ],[333.01733,2 ],[333.02222,1 ],[333.02710,1 ],[333.03199,2 ],[333.03687,1 ],[333.04175,1 ],[333.04664,1 ],[333.05152,1 ],[333.05641,1 ],[333.06129,2 ],[333.06617,1 ],[333.07106,1 ],[333.07594,1 ],[333.08083,2 ],[333.08571,1 ],[333.09059,2 ],[333.09548,2 ],[333.10036,2 ],[333.10525,2 ],[333.11013,1 ],[333.11501,1 ],[333.11990,0 ],[333.12478,0 ],[333.12967,0 ],[333.13455,1 ],[333.13943,1 ],[333.14432,1 ],[333.14920,2 ],[333.15409,1 ],[333.15897,1 ],[333.16385,1 ],[333.16874,1 ],[333.17362,1 ],[333.17851,1 ],[333.18339,1 ],[333.18827,1 ],[333.19316,1 ],[333.19804,1 ],[333.20293,1 ],[333.20781,2 ],[333.21269,2 ],[333.21758,2 ],[333.22246,2 ],[333.22735,2 ],[333.23223,1 ],[333.23711,2 ],[333.24200,2 ],[333.24688,0 ],[333.25177,1 ],[333.25665,0 ],[333.26153,1 ],[333.26642,2 ],[333.27130,2 ],[333.27619,1 ],[333.28107,0 ],[333.28595,0 ],[333.29084,1 ],[333.29572,1 ],[333.30061,2 ],[333.30549,3 ],[333.31037,3 ],[333.31526,2 ],[333.32014,2 ],[333.32503,1 ],[333.32991,1 ],[333.33479,2 ],[333.33968,2 ],[333.34456,2 ],[333.34945,2 ],[333.35433,2 ],[333.35921,2 ],[333.36410,2 ],[333.36898,1 ],[333.37387,1 ],[333.37875,1 ],[333.38363,2 ],[333.38852,1 ],[333.39340,0 ],[333.39829,-1 ],[333.40317,-1 ],[333.40805,0 ],[333.41294,0 ],[333.41782,0 ],[333.42271,0 ],[333.42759,1 ],[333.43247,2 ],[333.43736,2 ],[333.44224,2 ],[333.44713,1 ],[333.45201,1 ],[333.45689,0 ],[333.46178,2 ],[333.46666,1 ],[333.47155,1 ],[333.47643,1 ],[333.48131,1 ],[333.48620,1 ],[333.49108,1 ],[333.49597,2 ],[333.50085,2 ],[333.50573,2 ],[333.51062,2 ],[333.51550,2 ],[333.52039,1 ],[333.52527,0 ],[333.53015,0 ],[333.53504,1 ],[333.53992,1 ],[333.54481,1 ],[333.54969,0 ],[333.55457,0 ],[333.55946,0 ],[333.56434,0 ],[333.56923,1 ],[333.57411,2 ],[333.57899,2 ],[333.58388,2 ],[333.58876,1 ],[333.59365,2 ],[333.59853,1 ],[333.60341,1 ],[333.60830,1 ],[333.61318,2 ],[333.61807,2 ],[333.62295,2 ],[333.62783,2 ],[333.63272,2 ],[333.63760,3 ],[333.64249,3 ],[333.64737,3 ],[333.65225,3 ],[333.65714,2 ],[333.66202,1 ],[333.66691,1 ],[333.67179,2 ],[333.67667,3 ],[333.68156,3 ],[333.68644,4 ],[333.69133,4 ],[333.69621,3 ],[333.70109,3 ],[333.70598,3 ],[333.71086,2 ],[333.71575,2 ],[333.72063,3 ],[333.72551,3 ],[333.73040,2 ],[333.73528,2 ],[333.74017,2 ],[333.74505,1 ],[333.74993,1 ],[333.75482,2 ],[333.75970,2 ],[333.76459,2 ],[333.76947,2 ],[333.77435,1 ],[333.77924,2 ],[333.78412,1 ],[333.78901,1 ],[333.79389,2 ],[333.79877,2 ],[333.80366,2 ],[333.80854,3 ],[333.81343,3 ],[333.81831,3 ],[333.82319,3 ],[333.82808,2 ],[333.83296,2 ],[333.83785,2 ],[333.84273,2 ],[333.84761,3 ],[333.85250,3 ],[333.85738,2 ],[333.86227,2 ],[333.86715,2 ],[333.87203,2 ],[333.87692,2 ],[333.88180,2 ],[333.88669,2 ],[333.89157,1 ],[333.89645,1 ],[333.90134,1 ],[333.90622,2 ],[333.91111,1 ],[333.91599,1 ],[333.92087,0 ],[333.92576,0 ],[333.93064,1 ],[333.93553,1 ],[333.94041,1 ],[333.94529,1 ],[333.95018,2 ],[333.95506,2 ],[333.95995,2 ],[333.96483,3 ],[333.96971,3 ],[333.97460,3 ],[333.97948,2 ],[333.98437,2 ],[333.98925,3 ],[333.99413,3 ],[333.99902,2 ],[334.00390,2 ],[334.00879,2 ],[334.01367,2 ],[334.01855,2 ],[334.02344,2 ],[334.02832,1 ],[334.03321,1 ],[334.03809,1 ],[334.04297,1 ],[334.04786,1 ],[334.05274,2 ],[334.05763,2 ],[334.06251,1 ],[334.06739,2 ],[334.07228,3 ],[334.07716,2 ],[334.08205,2 ],[334.08693,2 ],[334.09181,2 ],[334.09670,2 ],[334.10158,2 ],[334.10647,2 ],[334.11135,2 ],[334.11623,1 ],[334.12112,0 ],[334.12600,1 ],[334.13089,1 ],[334.13577,1 ],[334.14065,1 ],[334.14554,1 ],[334.15042,2 ],[334.15531,2 ],[334.16019,2 ],[334.16507,2 ],[334.16996,1 ],[334.17484,2 ],[334.17973,2 ],[334.18461,3 ],[334.18949,3 ],[334.19438,3 ],[334.19926,3 ],[334.20415,2 ],[334.20903,2 ],[334.21391,2 ],[334.21880,2 ],[334.22368,2 ],[334.22857,1 ],[334.23345,1 ],[334.23833,2 ],[334.24322,2 ],[334.24810,2 ],[334.25299,2 ],[334.25787,1 ],[334.26275,1 ],[334.26764,2 ],[334.27252,2 ],[334.27741,2 ],[334.28229,2 ],[334.28717,1 ],[334.29206,1 ],[334.29694,1 ],[334.30183,2 ],[334.30671,2 ],[334.31159,2 ],[334.31648,2 ],[334.32136,2 ],[334.32625,1 ],[334.33113,2 ],[334.33601,1 ],[334.34090,1 ],[334.34578,2 ],[334.35067,2 ],[334.35555,3 ],[334.36043,2 ],[334.36532,2 ],[334.37020,2 ],[334.37509,2 ],[334.37997,2 ],[334.38485,2 ],[334.38974,2 ],[334.39462,2 ],[334.39951,1 ],[334.40439,1 ],[334.40927,1 ],[334.41416,2 ],[334.41904,2 ],[334.42393,1 ],[334.42881,2 ],[334.43369,2 ],[334.43858,2 ],[334.44346,2 ],[334.44835,3 ],[334.45323,2 ],[334.45811,1 ],[334.46300,2 ],[334.46788,2 ],[334.47277,2 ],[334.47765,2 ],[334.48253,3 ],[334.48742,3 ],[334.49230,3 ],[334.49719,3 ],[334.50207,3 ],[334.50695,4 ],[334.51184,4 ],[334.51672,3 ],[334.52161,3 ],[334.52649,3 ],[334.53137,3 ],[334.53626,3 ],[334.54114,3 ],[334.54603,4 ],[334.55091,4 ],[334.55579,3 ],[334.56068,3 ],[334.56556,3 ],[334.57045,3 ],[334.57533,3 ],[334.58021,3 ],[334.58510,3 ],[334.58998,3 ],[334.59487,2 ],[334.59975,2 ],[334.60463,2 ],[334.60952,2 ],[334.61440,2 ],[334.61929,2 ],[334.62417,2 ],[334.62905,3 ],[334.63394,2 ],[334.63882,2 ],[334.64371,2 ],[334.64859,2 ],[334.65347,2 ],[334.65836,3 ],[334.66324,3 ],[334.66813,2 ],[334.67301,2 ],[334.67789,2 ],[334.68278,3 ],[334.68766,3 ],[334.69255,3 ],[334.69743,2 ],[334.70231,1 ],[334.70720,2 ],[334.71208,3 ],[334.71697,3 ],[334.72185,2 ],[334.72673,2 ],[334.73162,3 ],[334.73650,3 ],[334.74139,3 ],[334.74627,3 ],[334.75115,3 ],[334.75604,2 ],[334.76092,2 ],[334.76581,1 ],[334.77069,1 ],[334.77557,2 ],[334.78046,2 ],[334.78534,3 ],[334.79023,2 ],[334.79511,2 ],[334.8,2 ],[334.80488,2 ],[334.80976,3 ],[334.81465,3 ],[334.81953,3 ],[334.82442,4 ],[334.82930,4 ],[334.83418,4 ],[334.83907,4 ],[334.84395,3 ],[334.84884,2 ],[334.85372,2 ],[334.85860,2 ],[334.86349,2 ],[334.86837,3 ],[334.87326,3 ],[334.87814,4 ],[334.88302,4 ],[334.88791,4 ],[334.89279,3 ],[334.89768,2 ],[334.90256,2 ],[334.90744,3 ],[334.91233,3 ],[334.91721,2 ],[334.92210,1 ],[334.92698,1 ],[334.93186,2 ],[334.93675,3 ],[334.94163,3 ],[334.94652,2 ],[334.95140,2 ],[334.95628,2 ],[334.96117,3 ],[334.96605,2 ],[334.97094,2 ],[334.97582,3 ],[334.98070,2 ],[334.98559,2 ],[334.99047,2 ],[334.99536,2 ],[335.00024,2 ],[335.00512,2 ],[335.01001,2 ],[335.01489,3 ],[335.01978,2 ],[335.02466,2 ],[335.02954,3 ],[335.03443,3 ],[335.03931,2 ],[335.04420,3 ],[335.04908,3 ],[335.05396,4 ],[335.05885,4 ],[335.06373,4 ],[335.06862,4 ],[335.07350,3 ],[335.07838,2 ],[335.08327,3 ],[335.08815,3 ],[335.09304,2 ],[335.09792,2 ],[335.10280,2 ],[335.10769,2 ],[335.11257,3 ],[335.11746,3 ],[335.12234,2 ],[335.12722,2 ],[335.13211,2 ],[335.13699,2 ],[335.14188,1 ],[335.14676,2 ],[335.15164,2 ],[335.15653,2 ],[335.16141,3 ],[335.16630,3 ],[335.17118,3 ],[335.17606,3 ],[335.18095,3 ],[335.18583,3 ],[335.19072,3 ],[335.19560,2 ],[335.20048,2 ],[335.20537,2 ],[335.21025,2 ],[335.21514,2 ],[335.22002,2 ],[335.22490,3 ],[335.22979,3 ],[335.23467,3 ],[335.23956,3 ],[335.24444,3 ],[335.24932,3 ],[335.25421,2 ],[335.25909,3 ],[335.26398,3 ],[335.26886,3 ],[335.27374,4 ],[335.27863,3 ],[335.28351,3 ],[335.28840,3 ],[335.29328,3 ],[335.29816,3 ],[335.30305,3 ],[335.30793,3 ],[335.31282,3 ],[335.31770,3 ],[335.32258,3 ],[335.32747,3 ],[335.33235,3 ],[335.33724,3 ],[335.34212,3 ],[335.34700,4 ],[335.35189,3 ],[335.35677,2 ],[335.36166,2 ],[335.36654,2 ],[335.37142,2 ],[335.37631,2 ],[335.38119,3 ],[335.38608,3 ],[335.39096,3 ],[335.39584,3 ],[335.40073,3 ],[335.40561,4 ],[335.41050,4 ],[335.41538,4 ],[335.42026,4 ],[335.42515,3 ],[335.43003,4 ],[335.43492,4 ],[335.43980,3 ],[335.44468,2 ],[335.44957,2 ],[335.45445,2 ],[335.45934,2 ],[335.46422,3 ],[335.46910,4 ],[335.47399,4 ],[335.47887,4 ],[335.48376,4 ],[335.48864,3 ],[335.49352,2 ],[335.49841,3 ],[335.50329,3 ],[335.50818,4 ],[335.51306,3 ],[335.51794,3 ],[335.52283,3 ],[335.52771,3 ],[335.53260,3 ],[335.53748,3 ],[335.54236,2 ],[335.54725,3 ],[335.55213,3 ],[335.55702,3 ],[335.56190,4 ],[335.56678,5 ],[335.57167,5 ],[335.57655,6 ],[335.58144,5 ],[335.58632,4 ],[335.59120,3 ],[335.59609,3 ],[335.60097,4 ],[335.60586,4 ],[335.61074,5 ],[335.61562,5 ],[335.62051,4 ],[335.62539,4 ],[335.63028,4 ],[335.63516,4 ],[335.64004,4 ],[335.64493,4 ],[335.64981,4 ],[335.65470,4 ],[335.65958,4 ],[335.66446,5 ],[335.66935,4 ],[335.67423,5 ],[335.67912,5 ],[335.68400,4 ],[335.68888,3 ],[335.69377,4 ],[335.69865,4 ],[335.70354,5 ],[335.70842,4 ],[335.71330,5 ],[335.71819,5 ],[335.72307,5 ],[335.72796,5 ],[335.73284,4 ],[335.73772,4 ],[335.74261,4 ],[335.74749,4 ],[335.75238,4 ],[335.75726,4 ],[335.76214,4 ],[335.76703,5 ],[335.77191,5 ],[335.77680,5 ],[335.78168,4 ],[335.78656,3 ],[335.79145,4 ],[335.79633,4 ],[335.80122,4 ],[335.80610,4 ],[335.81098,3 ],[335.81587,4 ],[335.82075,4 ],[335.82564,4 ],[335.83052,4 ],[335.83540,5 ],[335.84029,4 ],[335.84517,3 ],[335.85006,4 ],[335.85494,4 ],[335.85982,5 ],[335.86471,5 ],[335.86959,5 ],[335.87448,6 ],[335.87936,5 ],[335.88424,5 ],[335.88913,4 ],[335.89401,5 ],[335.89890,6 ],[335.90378,5 ],[335.90866,5 ],[335.91355,6 ],[335.91843,6 ],[335.92332,6 ],[335.92820,6 ],[335.93308,6 ],[335.93797,5 ],[335.94285,5 ],[335.94774,5 ],[335.95262,6 ],[335.95750,6 ],[335.96239,5 ],[335.96727,5 ],[335.97216,4 ],[335.97704,4 ],[335.98192,4 ],[335.98681,5 ],[335.99169,6 ],[335.99658,6 ],[336.00146,6 ],[336.00634,7 ],[336.01123,7 ],[336.01611,6 ],[336.02100,7 ],[336.02588,6 ],[336.03076,6 ],[336.03565,6 ],[336.04053,6 ],[336.04542,5 ],[336.05030,5 ],[336.05518,5 ],[336.06007,5 ],[336.06495,5 ],[336.06984,6 ],[336.07472,7 ],[336.07960,7 ],[336.08449,8 ],[336.08937,7 ],[336.09426,6 ],[336.09914,6 ],[336.10402,7 ],[336.10891,8 ],[336.11379,7 ],[336.11868,7 ],[336.12356,7 ],[336.12844,7 ],[336.13333,7 ],[336.13821,8 ],[336.14310,7 ],[336.14798,7 ],[336.15286,7 ],[336.15775,8 ],[336.16263,8 ],[336.16752,8 ],[336.17240,8 ],[336.17728,7 ],[336.18217,7 ],[336.18705,8 ],[336.19194,8 ],[336.19682,8 ],[336.20170,8 ],[336.20659,9 ],[336.21147,10 ],[336.21636,10 ],[336.22124,10 ],[336.22612,10 ],[336.23101,9 ],[336.23589,10 ],[336.24078,10 ],[336.24566,10 ],[336.25054,10 ],[336.25543,10 ],[336.26031,10 ],[336.26520,10 ],[336.27008,10 ],[336.27496,11 ],[336.27985,11 ],[336.28473,10 ],[336.28962,11 ],[336.29450,11 ],[336.29938,12 ],[336.30427,13 ],[336.30915,13 ],[336.31404,12 ],[336.31892,11 ],[336.32380,11 ],[336.32869,11 ],[336.33357,11 ],[336.33846,12 ],[336.34334,13 ],[336.34822,13 ],[336.35311,13 ],[336.35799,13 ],[336.36288,13 ],[336.36776,14 ],[336.37264,13 ],[336.37753,13 ],[336.38241,14 ],[336.38730,14 ],[336.39218,14 ],[336.39706,15 ],[336.40195,14 ],[336.40683,14 ],[336.41172,14 ],[336.41660,14 ],[336.42148,15 ],[336.42637,15 ],[336.43125,15 ],[336.43614,15 ],[336.44102,15 ],[336.44590,15 ],[336.45079,16 ],[336.45567,17 ],[336.46056,17 ],[336.46544,17 ],[336.47032,18 ],[336.47521,18 ],[336.48009,18 ],[336.48498,18 ],[336.48986,18 ],[336.49474,19 ],[336.49963,19 ],[336.50451,20 ],[336.50940,20 ],[336.51428,19 ],[336.51916,20 ],[336.52405,20 ],[336.52893,21 ],[336.53382,22 ],[336.53870,21 ],[336.54358,21 ],[336.54847,21 ],[336.55335,21 ],[336.55824,23 ],[336.56312,23 ],[336.56800,22 ],[336.57289,23 ],[336.57777,23 ],[336.58266,24 ],[336.58754,25 ],[336.59242,26 ],[336.59731,27 ],[336.60219,27 ],[336.60708,26 ],[336.61196,27 ],[336.61684,27 ],[336.62173,28 ],[336.62661,29 ],[336.63150,29 ],[336.63638,29 ],[336.64126,29 ],[336.64615,29 ],[336.65103,30 ],[336.65592,31 ],[336.66080,31 ],[336.66568,31 ],[336.67057,31 ],[336.67545,32 ],[336.68034,34 ],[336.68522,34 ],[336.69010,35 ],[336.69499,35 ],[336.69987,36 ],[336.70476,38 ],[336.70964,38 ],[336.71452,39 ],[336.71941,38 ],[336.72429,38 ],[336.72918,39 ],[336.73406,41 ],[336.73894,41 ],[336.74383,42 ],[336.74871,43 ],[336.75360,44 ],[336.75848,45 ],[336.76336,46 ],[336.76825,47 ],[336.77313,47 ],[336.77802,48 ],[336.78290,50 ],[336.78778,51 ],[336.79267,51 ],[336.79755,53 ],[336.80244,54 ],[336.80732,54 ],[336.81221,55 ],[336.81709,57 ],[336.82197,58 ],[336.82686,59 ],[336.83174,60 ],[336.83663,62 ],[336.84151,63 ],[336.84639,64 ],[336.85128,66 ],[336.85616,68 ],[336.86105,69 ],[336.86593,70 ],[336.87081,71 ],[336.87570,73 ],[336.88058,75 ],[336.88547,77 ],[336.89035,78 ],[336.89523,80 ],[336.90012,82 ],[336.90500,85 ],[336.90989,87 ],[336.91477,89 ],[336.91965,90 ],[336.92454,92 ],[336.92942,94 ],[336.93431,97 ],[336.93919,99 ],[336.94407,102 ],[336.94896,103 ],[336.95384,106 ],[336.95873,109 ],[336.96361,112 ],[336.96849,115 ],[336.97338,118 ],[336.97826,120 ],[336.98315,124 ],[336.98803,128 ],[336.99291,131 ],[336.99780,134 ],[337.00268,137 ],[337.00757,140 ],[337.01245,145 ],[337.01733,150 ],[337.02222,154 ],[337.02710,158 ],[337.03199,162 ],[337.03687,167 ],[337.04175,172 ],[337.04664,177 ],[337.05152,182 ],[337.05641,187 ],[337.06129,192 ],[337.06617,197 ],[337.07106,203 ],[337.07594,209 ],[337.08083,215 ],[337.08571,221 ],[337.09059,228 ],[337.09548,235 ],[337.10036,242 ],[337.10525,249 ],[337.11013,255 ],[337.11501,263 ],[337.11990,272 ],[337.12478,281 ],[337.12967,290 ],[337.13455,298 ],[337.13943,307 ],[337.14432,317 ],[337.14920,327 ],[337.15409,337 ],[337.15897,348 ],[337.16385,359 ],[337.16874,371 ],[337.17362,382 ],[337.17851,395 ],[337.18339,407 ],[337.18827,419 ],[337.19316,433 ],[337.19804,447 ],[337.20293,462 ],[337.20781,476 ],[337.21269,492 ],[337.21758,507 ],[337.22246,523 ],[337.22735,539 ],[337.23223,555 ],[337.23711,573 ],[337.24200,590 ],[337.24688,608 ],[337.25177,626 ],[337.25665,643 ],[337.26153,660 ],[337.26642,677 ],[337.27130,695 ],[337.27619,712 ],[337.28107,730 ],[337.28595,746 ],[337.29084,762 ],[337.29572,776 ],[337.30061,791 ],[337.30549,804 ],[337.31037,816 ],[337.31526,826 ],[337.32014,834 ],[337.32503,841 ],[337.32991,846 ],[337.33479,848 ],[337.33968,847 ],[337.34456,843 ],[337.34945,834 ],[337.35433,823 ],[337.35921,809 ],[337.36410,791 ],[337.36898,768 ],[337.37387,741 ],[337.37875,709 ],[337.38363,673 ],[337.38852,633 ],[337.39340,591 ],[337.39829,545 ],[337.40317,494 ],[337.40805,440 ],[337.41294,382 ],[337.41782,320 ],[337.42271,258 ],[337.42759,194 ],[337.43247,130 ],[337.43736,66 ],[337.44224,0 ],[337.44713,-68 ],[337.45201,-135 ],[337.45689,-202 ],[337.46178,-265 ],[337.46666,-326 ],[337.47155,-383 ],[337.47643,-440 ],[337.48131,-494 ],[337.48620,-544 ],[337.49108,-590 ],[337.49597,-632 ],[337.50085,-668 ],[337.50573,-700 ],[337.51062,-729 ],[337.51550,-754 ],[337.52039,-774 ],[337.52527,-791 ],[337.53015,-804 ],[337.53504,-812 ],[337.53992,-818 ],[337.54481,-821 ],[337.54969,-821 ],[337.55457,-817 ],[337.55946,-812 ],[337.56434,-804 ],[337.56923,-795 ],[337.57411,-785 ],[337.57899,-774 ],[337.58388,-760 ],[337.58876,-744 ],[337.59365,-730 ],[337.59853,-715 ],[337.60341,-698 ],[337.60830,-682 ],[337.61318,-666 ],[337.61807,-648 ],[337.62295,-631 ],[337.62783,-614 ],[337.63272,-598 ],[337.63760,-581 ],[337.64249,-565 ],[337.64737,-549 ],[337.65225,-533 ],[337.65714,-517 ],[337.66202,-502 ],[337.66691,-487 ],[337.67179,-473 ],[337.67667,-459 ],[337.68156,-445 ],[337.68644,-431 ],[337.69133,-418 ],[337.69621,-406 ],[337.70109,-393 ],[337.70598,-382 ],[337.71086,-371 ],[337.71575,-360 ],[337.72063,-348 ],[337.72551,-338 ],[337.73040,-328 ],[337.73528,-318 ],[337.74017,-308 ],[337.74505,-299 ],[337.74993,-290 ],[337.75482,-281 ],[337.75970,-274 ],[337.76459,-266 ],[337.76947,-259 ],[337.77435,-251 ],[337.77924,-243 ],[337.78412,-236 ],[337.78901,-229 ],[337.79389,-223 ],[337.79877,-217 ],[337.80366,-212 ],[337.80854,-207 ],[337.81343,-201 ],[337.81831,-195 ],[337.82319,-190 ],[337.82808,-184 ],[337.83296,-179 ],[337.83785,-175 ],[337.84273,-170 ],[337.84761,-165 ],[337.85250,-160 ],[337.85738,-157 ],[337.86227,-153 ],[337.86715,-149 ],[337.87203,-145 ],[337.87692,-141 ],[337.88180,-138 ],[337.88669,-136 ],[337.89157,-133 ],[337.89645,-130 ],[337.90134,-126 ],[337.90622,-123 ],[337.91111,-120 ],[337.91599,-116 ],[337.92087,-114 ],[337.92576,-111 ],[337.93064,-109 ],[337.93553,-106 ],[337.94041,-103 ],[337.94529,-101 ],[337.95018,-98 ],[337.95506,-95 ],[337.95995,-92 ],[337.96483,-90 ],[337.96971,-89 ],[337.97460,-87 ],[337.97948,-86 ],[337.98437,-84 ],[337.98925,-82 ],[337.99413,-80 ],[337.99902,-78 ],[338.00390,-76 ],[338.00879,-74 ],[338.01367,-72 ],[338.01855,-71 ],[338.02344,-70 ],[338.02832,-69 ],[338.03321,-68 ],[338.03809,-67 ],[338.04297,-65 ],[338.04786,-63 ],[338.05274,-62 ],[338.05763,-61 ],[338.06251,-61 ],[338.06739,-59 ],[338.07228,-58 ],[338.07716,-57 ],[338.08205,-56 ],[338.08693,-55 ],[338.09181,-54 ],[338.09670,-53 ],[338.10158,-52 ],[338.10647,-50 ],[338.11135,-49 ],[338.11623,-47 ],[338.12112,-45 ],[338.12600,-44 ],[338.13089,-44 ],[338.13577,-44 ],[338.14065,-43 ],[338.14554,-43 ],[338.15042,-42 ],[338.15531,-42 ],[338.16019,-41 ],[338.16507,-40 ],[338.16996,-40 ],[338.17484,-39 ],[338.17973,-38 ],[338.18461,-37 ],[338.18949,-37 ],[338.19438,-36 ],[338.19926,-36 ],[338.20415,-36 ],[338.20903,-35 ],[338.21391,-33 ],[338.21880,-32 ],[338.22368,-31 ],[338.22857,-31 ],[338.23345,-31 ],[338.23833,-31 ],[338.24322,-30 ],[338.24810,-30 ],[338.25299,-30 ],[338.25787,-30 ],[338.26275,-29 ],[338.26764,-30 ],[338.27252,-30 ],[338.27741,-28 ],[338.28229,-27 ],[338.28717,-26 ],[338.29206,-26 ],[338.29694,-25 ],[338.30183,-25 ],[338.30671,-25 ],[338.31159,-25 ],[338.31648,-25 ],[338.32136,-25 ],[338.32625,-24 ],[338.33113,-24 ],[338.33601,-23 ],[338.34090,-24 ],[338.34578,-23 ],[338.35067,-22 ],[338.35555,-20 ],[338.36043,-20 ],[338.36532,-19 ],[338.37020,-18 ],[338.37509,-19 ],[338.37997,-19 ],[338.38485,-19 ],[338.38974,-19 ],[338.39462,-19 ],[338.39951,-18 ],[338.40439,-18 ],[338.40927,-18 ],[338.41416,-17 ],[338.41904,-17 ],[338.42393,-17 ],[338.42881,-16 ],[338.43369,-16 ],[338.43858,-16 ],[338.44346,-16 ],[338.44835,-16 ],[338.45323,-17 ],[338.45811,-16 ],[338.46300,-16 ],[338.46788,-16 ],[338.47277,-15 ],[338.47765,-15 ],[338.48253,-15 ],[338.48742,-15 ],[338.49230,-15 ],[338.49719,-15 ],[338.50207,-14 ],[338.50695,-14 ],[338.51184,-14 ],[338.51672,-13 ],[338.52161,-12 ],[338.52649,-13 ],[338.53137,-14 ],[338.53626,-13 ],[338.54114,-12 ],[338.54603,-12 ],[338.55091,-12 ],[338.55579,-12 ],[338.56068,-12 ],[338.56556,-12 ],[338.57045,-12 ],[338.57533,-12 ],[338.58021,-11 ],[338.58510,-10 ],[338.58998,-9 ],[338.59487,-10 ],[338.59975,-11 ],[338.60463,-12 ],[338.60952,-11 ],[338.61440,-10 ],[338.61929,-10 ],[338.62417,-9 ],[338.62905,-9 ],[338.63394,-10 ],[338.63882,-10 ],[338.64371,-10 ],[338.64859,-9 ],[338.65347,-9 ],[338.65836,-9 ],[338.66324,-9 ],[338.66813,-8 ],[338.67301,-9 ],[338.67789,-9 ],[338.68278,-9 ],[338.68766,-9 ],[338.69255,-9 ],[338.69743,-9 ],[338.70231,-9 ],[338.70720,-8 ],[338.71208,-8 ],[338.71697,-8 ],[338.72185,-7 ],[338.72673,-7 ],[338.73162,-8 ],[338.73650,-8 ],[338.74139,-8 ],[338.74627,-8 ],[338.75115,-7 ],[338.75604,-7 ],[338.76092,-8 ],[338.76581,-8 ],[338.77069,-8 ],[338.77557,-8 ],[338.78046,-6 ],[338.78534,-7 ],[338.79023,-7 ],[338.79511,-7 ],[338.8,-7 ],[338.80488,-7 ],[338.80976,-6 ],[338.81465,-6 ],[338.81953,-6 ],[338.82442,-6 ],[338.82930,-5 ],[338.83418,-5 ],[338.83907,-5 ],[338.84395,-7 ],[338.84884,-7 ],[338.85372,-6 ],[338.85860,-6 ],[338.86349,-6 ],[338.86837,-6 ],[338.87326,-5 ],[338.87814,-5 ],[338.88302,-5 ],[338.88791,-6 ],[338.89279,-6 ],[338.89768,-6 ],[338.90256,-6 ],[338.90744,-5 ],[338.91233,-6 ],[338.91721,-6 ],[338.92210,-5 ],[338.92698,-5 ],[338.93186,-5 ],[338.93675,-4 ],[338.94163,-4 ],[338.94652,-4 ],[338.95140,-5 ],[338.95628,-5 ],[338.96117,-4 ],[338.96605,-3 ],[338.97094,-3 ],[338.97582,-3 ],[338.98070,-4 ],[338.98559,-4 ],[338.99047,-4 ],[338.99536,-4 ],[339.00024,-4 ],[339.00512,-4 ],[339.01001,-4 ],[339.01489,-4 ],[339.01978,-4 ],[339.02466,-4 ],[339.02954,-3 ],[339.03443,-3 ],[339.03931,-3 ],[339.04420,-3 ],[339.04908,-3 ],[339.05396,-3 ],[339.05885,-3 ],[339.06373,-4 ],[339.06862,-4 ],[339.07350,-3 ],[339.07838,-3 ],[339.08327,-3 ],[339.08815,-3 ],[339.09304,-2 ],[339.09792,-3 ],[339.10280,-3 ],[339.10769,-3 ],[339.11257,-3 ],[339.11746,-2 ],[339.12234,-1 ],[339.12722,-2 ],[339.13211,-2 ],[339.13699,-3 ],[339.14188,-4 ],[339.14676,-4 ],[339.15164,-4 ],[339.15653,-3 ],[339.16141,-3 ],[339.16630,-2 ],[339.17118,-1 ],[339.17606,-2 ],[339.18095,-3 ],[339.18583,-3 ],[339.19072,-2 ],[339.19560,-3 ],[339.20048,-3 ],[339.20537,-3 ],[339.21025,-3 ],[339.21514,-2 ],[339.22002,-3 ],[339.22490,-2 ],[339.22979,-3 ],[339.23467,-3 ],[339.23956,-3 ],[339.24444,-3 ],[339.24932,-3 ],[339.25421,-3 ],[339.25909,-3 ],[339.26398,-3 ],[339.26886,-3 ],[339.27374,-2 ],[339.27863,-2 ],[339.28351,-1 ],[339.28840,-1 ],[339.29328,-1 ],[339.29816,-1 ],[339.30305,-1 ],[339.30793,-1 ],[339.31282,-2 ],[339.31770,-2 ],[339.32258,-2 ],[339.32747,-2 ],[339.33235,-1 ],[339.33724,-1 ],[339.34212,-2 ],[339.34700,-2 ],[339.35189,-2 ],[339.35677,-2 ],[339.36166,-1 ],[339.36654,-2 ],[339.37142,-3 ],[339.37631,-3 ],[339.38119,-2 ],[339.38608,-1 ],[339.39096,-1 ],[339.39584,-1 ],[339.40073,-2 ],[339.40561,-1 ],[339.41050,-1 ],[339.41538,-2 ],[339.42026,-2 ],[339.42515,-2 ],[339.43003,-2 ],[339.43492,-2 ],[339.43980,-2 ],[339.44468,-2 ],[339.44957,-2 ],[339.45445,-2 ],[339.45934,-1 ],[339.46422,-1 ],[339.46910,-1 ],[339.47399,-1 ],[339.47887,-1 ],[339.48376,-1 ],[339.48864,-1 ],[339.49352,-1 ],[339.49841,-1 ],[339.50329,-1 ],[339.50818,-2 ],[339.51306,-1 ],[339.51794,-1 ],[339.52283,-1 ],[339.52771,0 ],[339.53260,-1 ],[339.53748,-2 ],[339.54236,-1 ],[339.54725,-1 ],[339.55213,-2 ],[339.55702,-1 ],[339.56190,-2 ],[339.56678,-2 ],[339.57167,-2 ],[339.57655,-1 ],[339.58144,-1 ],[339.58632,-1 ],[339.59120,-1 ],[339.59609,-1 ],[339.60097,-2 ],[339.60586,-3 ],[339.61074,-2 ],[339.61562,-1 ],[339.62051,-1 ],[339.62539,-1 ],[339.63028,0 ],[339.63516,0 ],[339.64004,0 ],[339.64493,0 ],[339.64981,-1 ],[339.65470,-1 ],[339.65958,-2 ],[339.66446,-1 ],[339.66935,0 ],[339.67423,-1 ],[339.67912,-1 ],[339.68400,0 ],[339.68888,1 ],[339.69377,1 ],[339.69865,0 ],[339.70354,0 ],[339.70842,-1 ],[339.71330,-2 ],[339.71819,-1 ],[339.72307,-1 ],[339.72796,-1 ],[339.73284,-2 ],[339.73772,-2 ],[339.74261,-2 ],[339.74749,-1 ],[339.75238,0 ],[339.75726,1 ],[339.76214,1 ],[339.76703,1 ],[339.77191,1 ],[339.77680,1 ],[339.78168,0 ],[339.78656,0 ],[339.79145,-1 ],[339.79633,-1 ],[339.80122,0 ],[339.80610,0 ],[339.81098,0 ],[339.81587,-1 ],[339.82075,-1 ],[339.82564,-1 ],[339.83052,0 ],[339.83540,0 ],[339.84029,0 ],[339.84517,1 ],[339.85006,1 ],[339.85494,1 ],[339.85982,0 ],[339.86471,0 ],[339.86959,0 ],[339.87448,0 ],[339.87936,0 ],[339.88424,0 ],[339.88913,0 ],[339.89401,-1 ],[339.89890,0 ],[339.90378,0 ],[339.90866,0 ],[339.91355,0 ],[339.91843,-1 ],[339.92332,-1 ],[339.92820,-1 ],[339.93308,-1 ],[339.93797,-1 ],[339.94285,0 ],[339.94774,1 ],[339.95262,0 ],[339.95750,0 ],[339.96239,1 ],[339.96727,1 ],[339.97216,-1 ],[339.97704,0 ],[339.98192,1 ],[339.98681,1 ],[339.99169,1 ],[339.99658,1 ],[340.00146,1 ],[340.00634,0 ],[340.01123,0 ],[340.01611,-1 ],[340.02100,-2 ],[340.02588,-2 ],[340.03076,-1 ],[340.03565,-1 ],[340.04053,0 ],[340.04542,1 ],[340.05030,1 ],[340.05518,0 ],[340.06007,0 ],[340.06495,0 ],[340.06984,1 ],[340.07472,1 ],[340.07960,0 ],[340.08449,0 ],[340.08937,-1 ],[340.09426,0 ],[340.09914,0 ],[340.10402,1 ],[340.10891,2 ],[340.11379,1 ],[340.11868,0 ],[340.12356,0 ],[340.12844,0 ],[340.13333,0 ],[340.13821,-1 ],[340.14310,0 ],[340.14798,1 ],[340.15286,1 ],[340.15775,1 ],[340.16263,1 ],[340.16752,1 ],[340.17240,1 ],[340.17728,1 ],[340.18217,1 ],[340.18705,1 ],[340.19194,0 ],[340.19682,0 ],[340.20170,0 ],[340.20659,0 ],[340.21147,-1 ],[340.21636,-1 ],[340.22124,0 ],[340.22612,0 ],[340.23101,1 ],[340.23589,0 ],[340.24078,0 ],[340.24566,1 ],[340.25054,0 ],[340.25543,0 ],[340.26031,0 ],[340.26520,0 ],[340.27008,0 ],[340.27496,0 ],[340.27985,1 ],[340.28473,-1 ],[340.28962,-1 ],[340.29450,0 ],[340.29938,0 ],[340.30427,0 ],[340.30915,0 ],[340.31404,0 ],[340.31892,0 ],[340.32380,0 ],[340.32869,-1 ],[340.33357,-1 ],[340.33846,-1 ],[340.34334,-1 ],[340.34822,0 ],[340.35311,0 ],[340.35799,1 ],[340.36288,1 ],[340.36776,1 ],[340.37264,0 ],[340.37753,0 ],[340.38241,-1 ],[340.38730,-1 ],[340.39218,-1 ],[340.39706,0 ],[340.40195,0 ],[340.40683,0 ],[340.41172,1 ],[340.41660,2 ],[340.42148,2 ],[340.42637,1 ],[340.43125,0 ],[340.43614,0 ],[340.44102,-1 ],[340.44590,-2 ],[340.45079,-1 ],[340.45567,-1 ],[340.46056,0 ],[340.46544,1 ],[340.47032,1 ],[340.47521,2 ],[340.48009,3 ],[340.48498,3 ],[340.48986,3 ],[340.49474,2 ],[340.49963,2 ],[340.50451,1 ],[340.50940,1 ],[340.51428,0 ],[340.51916,0 ],[340.52405,-1 ],[340.52893,0 ],[340.53382,1 ],[340.53870,0 ],[340.54358,0 ],[340.54847,1 ],[340.55335,0 ],[340.55824,1 ],[340.56312,1 ],[340.56800,0 ],[340.57289,0 ],[340.57777,1 ],[340.58266,2 ],[340.58754,0 ],[340.59242,0 ],[340.59731,0 ],[340.60219,0 ],[340.60708,1 ],[340.61196,1 ],[340.61684,1 ],[340.62173,0 ],[340.62661,0 ],[340.63150,0 ],[340.63638,1 ],[340.64126,1 ],[340.64615,1 ],[340.65103,1 ],[340.65592,0 ],[340.66080,1 ],[340.66568,2 ],[340.67057,2 ],[340.67545,0 ],[340.68034,0 ],[340.68522,-1 ],[340.69010,-1 ],[340.69499,-1 ],[340.69987,0 ],[340.70476,1 ],[340.70964,1 ],[340.71452,0 ],[340.71941,0 ],[340.72429,0 ],[340.72918,1 ],[340.73406,0 ],[340.73894,-1 ],[340.74383,0 ],[340.74871,0 ],[340.75360,0 ],[340.75848,0 ],[340.76336,0 ],[340.76825,0 ],[340.77313,2 ],[340.77802,2 ],[340.78290,1 ],[340.78778,1 ],[340.79267,1 ],[340.79755,1 ],[340.80244,1 ],[340.80732,1 ],[340.81221,0 ],[340.81709,0 ],[340.82197,1 ],[340.82686,1 ],[340.83174,1 ],[340.83663,0 ],[340.84151,1 ],[340.84639,1 ],[340.85128,1 ],[340.85616,1 ],[340.86105,0 ],[340.86593,0 ],[340.87081,0 ],[340.87570,0 ],[340.88058,1 ],[340.88547,2 ],[340.89035,3 ],[340.89523,3 ],[340.90012,2 ],[340.90500,1 ],[340.90989,1 ],[340.91477,0 ],[340.91965,0 ],[340.92454,0 ],[340.92942,0 ],[340.93431,1 ],[340.93919,2 ],[340.94407,2 ],[340.94896,1 ],[340.95384,2 ],[340.95873,2 ],[340.96361,3 ],[340.96849,2 ],[340.97338,1 ],[340.97826,0 ],[340.98315,1 ],[340.98803,2 ],[340.99291,1 ],[340.99780,1 ],[341.00268,1 ],[341.00757,-1 ],[341.01245,-1 ],[341.01733,-1 ],[341.02222,-1 ],[341.02710,0 ],[341.03199,0 ],[341.03687,0 ],[341.04175,1 ],[341.04664,1 ],[341.05152,1 ],[341.05641,1 ],[341.06129,1 ],[341.06617,1 ],[341.07106,1 ],[341.07594,1 ],[341.08083,1 ],[341.08571,0 ],[341.09059,1 ],[341.09548,1 ],[341.10036,2 ],[341.10525,1 ],[341.11013,1 ],[341.11501,1 ],[341.11990,1 ],[341.12478,0 ],[341.12967,1 ],[341.13455,1 ],[341.13943,1 ],[341.14432,1 ],[341.14920,1 ],[341.15409,1 ],[341.15897,1 ],[341.16385,2 ],[341.16874,2 ],[341.17362,2 ],[341.17851,2 ],[341.18339,2 ],[341.18827,1 ],[341.19316,0 ],[341.19804,0 ],[341.20293,0 ],[341.20781,1 ],[341.21269,0 ],[341.21758,0 ],[341.22246,1 ],[341.22735,2 ],[341.23223,2 ],[341.23711,2 ],[341.24200,2 ],[341.24688,2 ],[341.25177,2 ],[341.25665,2 ],[341.26153,3 ],[341.26642,2 ],[341.27130,2 ],[341.27619,3 ],[341.28107,2 ],[341.28595,0 ],[341.29084,0 ],[341.29572,0 ],[341.30061,0 ],[341.30549,0 ],[341.31037,1 ],[341.31526,0 ],[341.32014,1 ],[341.32503,2 ],[341.32991,2 ],[341.33479,2 ],[341.33968,0 ],[341.34456,0 ],[341.34945,0 ],[341.35433,1 ],[341.35921,2 ],[341.36410,2 ],[341.36898,1 ],[341.37387,1 ],[341.37875,1 ],[341.38363,1 ],[341.38852,2 ],[341.39340,1 ],[341.39829,1 ],[341.40317,2 ],[341.40805,2 ],[341.41294,2 ],[341.41782,1 ],[341.42271,1 ],[341.42759,1 ],[341.43247,1 ],[341.43736,1 ],[341.44224,1 ],[341.44713,0 ],[341.45201,0 ],[341.45689,-1 ],[341.46178,-1 ],[341.46666,0 ],[341.47155,2 ],[341.47643,2 ],[341.48131,3 ],[341.48620,2 ],[341.49108,1 ],[341.49597,0 ],[341.50085,1 ],[341.50573,0 ],[341.51062,0 ],[341.51550,0 ],[341.52039,1 ],[341.52527,1 ],[341.53015,1 ],[341.53504,1 ],[341.53992,1 ],[341.54481,1 ],[341.54969,2 ],[341.55457,2 ],[341.55946,1 ],[341.56434,0 ],[341.56923,1 ],[341.57411,1 ],[341.57899,2 ],[341.58388,2 ],[341.58876,2 ],[341.59365,2 ],[341.59853,2 ],[341.60341,2 ],[341.60830,2 ],[341.61318,1 ],[341.61807,1 ],[341.62295,1 ],[341.62783,1 ],[341.63272,0 ],[341.63760,0 ],[341.64249,0 ],[341.64737,0 ],[341.65225,1 ],[341.65714,1 ],[341.66202,0 ],[341.66691,1 ],[341.67179,0 ],[341.67667,0 ],[341.68156,1 ],[341.68644,1 ],[341.69133,1 ],[341.69621,1 ],[341.70109,1 ],[341.70598,1 ],[341.71086,1 ],[341.71575,2 ],[341.72063,1 ],[341.72551,2 ],[341.73040,2 ],[341.73528,1 ],[341.74017,1 ],[341.74505,2 ],[341.74993,1 ],[341.75482,0 ],[341.75970,1 ],[341.76459,0 ],[341.76947,0 ],[341.77435,1 ],[341.77924,2 ],[341.78412,2 ],[341.78901,2 ],[341.79389,2 ],[341.79877,1 ],[341.80366,2 ],[341.80854,2 ],[341.81343,1 ],[341.81831,1 ],[341.82319,1 ],[341.82808,0 ],[341.83296,-1 ],[341.83785,0 ],[341.84273,1 ],[341.84761,2 ],[341.85250,2 ],[341.85738,2 ],[341.86227,2 ],[341.86715,2 ],[341.87203,2 ],[341.87692,1 ],[341.88180,1 ],[341.88669,1 ],[341.89157,1 ],[341.89645,1 ],[341.90134,0 ],[341.90622,0 ],[341.91111,1 ],[341.91599,0 ],[341.92087,0 ],[341.92576,-1 ],[341.93064,0 ],[341.93553,0 ],[341.94041,1 ],[341.94529,1 ],[341.95018,1 ],[341.95506,1 ],[341.95995,2 ],[341.96483,1 ],[341.96971,0 ],[341.97460,1 ],[341.97948,1 ],[341.98437,2 ],[341.98925,2 ],[341.99413,2 ],[341.99902,2 ],[342.00390,2 ],[342.00879,2 ],[342.01367,3 ],[342.01855,2 ],[342.02344,2 ],[342.02832,2 ],[342.03321,2 ],[342.03809,2 ],[342.04297,1 ],[342.04786,1 ],[342.05274,1 ],[342.05763,0 ],[342.06251,0 ],[342.06739,1 ],[342.07228,1 ],[342.07716,1 ],[342.08205,1 ],[342.08693,0 ],[342.09181,-1 ],[342.09670,-1 ],[342.10158,0 ],[342.10647,2 ],[342.11135,2 ],[342.11623,3 ],[342.12112,2 ],[342.12600,1 ],[342.13089,0 ],[342.13577,0 ],[342.14065,0 ],[342.14554,0 ],[342.15042,0 ],[342.15531,0 ],[342.16019,0 ],[342.16507,0 ],[342.16996,0 ],[342.17484,0 ],[342.17973,0 ],[342.18461,-1 ],[342.18949,-1 ],[342.19438,0 ],[342.19926,0 ],[342.20415,1 ],[342.20903,1 ],[342.21391,1 ],[342.21880,2 ],[342.22368,1 ],[342.22857,1 ],[342.23345,0 ],[342.23833,0 ],[342.24322,0 ],[342.24810,1 ],[342.25299,1 ],[342.25787,0 ],[342.26275,0 ],[342.26764,0 ],[342.27252,1 ],[342.27741,1 ],[342.28229,1 ],[342.28717,0 ],[342.29206,0 ],[342.29694,0 ],[342.30183,0 ],[342.30671,1 ],[342.31159,1 ],[342.31648,1 ],[342.32136,2 ],[342.32625,2 ],[342.33113,1 ],[342.33601,1 ],[342.34090,1 ],[342.34578,2 ],[342.35067,1 ],[342.35555,1 ],[342.36043,2 ],[342.36532,1 ],[342.37020,2 ],[342.37509,1 ],[342.37997,0 ],[342.38485,0 ],[342.38974,1 ],[342.39462,1 ],[342.39951,2 ],[342.40439,1 ],[342.40927,2 ],[342.41416,2 ],[342.41904,1 ],[342.42393,2 ],[342.42881,2 ],[342.43369,1 ],[342.43858,0 ],[342.44346,0 ],[342.44835,-1 ],[342.45323,0 ],[342.45811,1 ],[342.46300,1 ],[342.46788,1 ],[342.47277,1 ],[342.47765,1 ],[342.48253,0 ],[342.48742,1 ],[342.49230,2 ],[342.49719,3 ],[342.50207,3 ],[342.50695,3 ],[342.51184,3 ],[342.51672,2 ],[342.52161,1 ],[342.52649,1 ],[342.53137,1 ],[342.53626,2 ],[342.54114,2 ],[342.54603,2 ],[342.55091,1 ],[342.55579,1 ],[342.56068,1 ],[342.56556,1 ],[342.57045,1 ],[342.57533,0 ],[342.58021,0 ],[342.58510,0 ],[342.58998,0 ],[342.59487,0 ],[342.59975,1 ],[342.60463,1 ],[342.60952,0 ],[342.61440,0 ],[342.61929,1 ],[342.62417,1 ],[342.62905,1 ],[342.63394,0 ],[342.63882,0 ],[342.64371,1 ],[342.64859,0 ],[342.65347,1 ],[342.65836,0 ],[342.66324,0 ],[342.66813,1 ],[342.67301,1 ],[342.67789,1 ],[342.68278,2 ],[342.68766,2 ],[342.69255,2 ],[342.69743,2 ],[342.70231,2 ],[342.70720,2 ],[342.71208,0 ],[342.71697,-1 ],[342.72185,0 ],[342.72673,0 ],[342.73162,0 ],[342.73650,0 ],[342.74139,1 ],[342.74627,1 ],[342.75115,1 ],[342.75604,1 ],[342.76092,0 ],[342.76581,0 ],[342.77069,1 ],[342.77557,1 ],[342.78046,1 ],[342.78534,1 ],[342.79023,1 ],[342.79511,1 ],[342.8,2 ],[342.80488,2 ],[342.80976,1 ],[342.81465,2 ],[342.81953,1 ],[342.82442,1 ],[342.82930,0 ],[342.83418,1 ],[342.83907,2 ],[342.84395,2 ],[342.84884,1 ],[342.85372,0 ],[342.85860,0 ],[342.86349,0 ],[342.86837,1 ],[342.87326,1 ],[342.87814,2 ],[342.88302,2 ],[342.88791,2 ],[342.89279,2 ],[342.89768,1 ],[342.90256,1 ],[342.90744,1 ],[342.91233,1 ],[342.91721,1 ],[342.92210,1 ],[342.92698,1 ],[342.93186,1 ],[342.93675,0 ],[342.94163,-1 ],[342.94652,-2 ],[342.95140,-2 ],[342.95628,-1 ],[342.96117,0 ],[342.96605,0 ],[342.97094,0 ],[342.97582,1 ],[342.98070,1 ],[342.98559,1 ],[342.99047,1 ],[342.99536,1 ],[343.00024,1 ],[343.00512,2 ],[343.01001,2 ],[343.01489,1 ],[343.01978,1 ],[343.02466,1 ],[343.02954,2 ],[343.03443,1 ],[343.03931,1 ],[343.04420,1 ],[343.04908,0 ],[343.05396,0 ],[343.05885,0 ],[343.06373,1 ],[343.06862,2 ],[343.07350,2 ],[343.07838,2 ],[343.08327,1 ],[343.08815,1 ],[343.09304,1 ],[343.09792,2 ],[343.10280,1 ],[343.10769,1 ],[343.11257,1 ],[343.11746,1 ],[343.12234,0 ],[343.12722,1 ],[343.13211,2 ],[343.13699,1 ],[343.14188,2 ],[343.14676,2 ],[343.15164,2 ],[343.15653,2 ],[343.16141,2 ],[343.16630,3 ],[343.17118,3 ],[343.17606,2 ],[343.18095,1 ],[343.18583,1 ],[343.19072,1 ],[343.19560,1 ],[343.20048,1 ],[343.20537,1 ],[343.21025,1 ],[343.21514,1 ],[343.22002,2 ],[343.22490,2 ],[343.22979,1 ],[343.23467,1 ],[343.23956,0 ],[343.24444,1 ],[343.24932,2 ],[343.25421,3 ],[343.25909,2 ],[343.26398,2 ],[343.26886,1 ],[343.27374,1 ],[343.27863,1 ],[343.28351,2 ],[343.28840,2 ],[343.29328,2 ],[343.29816,1 ],[343.30305,1 ],[343.30793,1 ],[343.31282,1 ],[343.31770,2 ],[343.32258,2 ],[343.32747,2 ],[343.33235,1 ],[343.33724,2 ],[343.34212,2 ],[343.34700,1 ],[343.35189,1 ],[343.35677,1 ],[343.36166,1 ],[343.36654,1 ],[343.37142,0 ],[343.37631,-1 ],[343.38119,-1 ],[343.38608,0 ],[343.39096,0 ],[343.39584,1 ],[343.40073,1 ],[343.40561,1 ],[343.41050,1 ],[343.41538,2 ],[343.42026,2 ],[343.42515,1 ],[343.43003,1 ],[343.43492,1 ],[343.43980,1 ],[343.44468,1 ],[343.44957,1 ],[343.45445,1 ],[343.45934,1 ],[343.46422,2 ],[343.46910,2 ],[343.47399,2 ],[343.47887,1 ],[343.48376,2 ],[343.48864,1 ],[343.49352,0 ],[343.49841,0 ],[343.50329,1 ],[343.50818,1 ],[343.51306,1 ],[343.51794,1 ],[343.52283,2 ],[343.52771,2 ],[343.53260,2 ],[343.53748,2 ],[343.54236,1 ],[343.54725,1 ],[343.55213,1 ],[343.55702,2 ],[343.56190,2 ],[343.56678,1 ],[343.57167,1 ],[343.57655,1 ],[343.58144,1 ],[343.58632,2 ],[343.59120,2 ],[343.59609,1 ],[343.60097,1 ],[343.60586,2 ],[343.61074,2 ],[343.61562,2 ],[343.62051,1 ],[343.62539,0 ],[343.63028,1 ],[343.63516,1 ],[343.64004,1 ],[343.64493,1 ],[343.64981,2 ],[343.65470,2 ],[343.65958,2 ],[343.66446,1 ],[343.66935,2 ],[343.67423,2 ],[343.67912,2 ],[343.68400,2 ],[343.68888,2 ],[343.69377,1 ],[343.69865,1 ],[343.70354,0 ],[343.70842,1 ],[343.71330,0 ],[343.71819,0 ],[343.72307,0 ],[343.72796,1 ],[343.73284,1 ],[343.73772,1 ],[343.74261,2 ],[343.74749,2 ],[343.75238,1 ],[343.75726,1 ],[343.76214,1 ],[343.76703,1 ],[343.77191,1 ],[343.77680,1 ],[343.78168,0 ],[343.78656,0 ],[343.79145,1 ],[343.79633,1 ],[343.80122,1 ],[343.80610,1 ],[343.81098,1 ],[343.81587,1 ],[343.82075,1 ],[343.82564,2 ],[343.83052,3 ],[343.83540,3 ],[343.84029,2 ],[343.84517,1 ],[343.85006,1 ],[343.85494,1 ],[343.85982,1 ],[343.86471,2 ],[343.86959,2 ],[343.87448,2 ],[343.87936,0 ],[343.88424,-1 ],[343.88913,0 ],[343.89401,0 ],[343.89890,1 ],[343.90378,1 ],[343.90866,1 ],[343.91355,0 ],[343.91843,1 ],[343.92332,1 ],[343.92820,1 ],[343.93308,1 ],[343.93797,0 ],[343.94285,1 ],[343.94774,2 ],[343.95262,1 ],[343.95750,1 ],[343.96239,1 ],[343.96727,1 ],[343.97216,1 ],[343.97704,0 ],[343.98192,0 ],[343.98681,1 ],[343.99169,2 ],[343.99658,2 ],[344.00146,2 ],[344.00634,2 ],[344.01123,3 ],[344.01611,3 ],[344.02100,3 ],[344.02588,3 ],[344.03076,2 ],[344.03565,2 ],[344.04053,1 ],[344.04542,1 ],[344.05030,0 ],[344.05518,0 ],[344.06007,0 ],[344.06495,0 ],[344.06984,0 ],[344.07472,1 ],[344.07960,2 ],[344.08449,2 ],[344.08937,2 ],[344.09426,3 ],[344.09914,3 ],[344.10402,2 ],[344.10891,1 ],[344.11379,1 ],[344.11868,0 ],[344.12356,1 ],[344.12844,1 ],[344.13333,1 ],[344.13821,2 ],[344.14310,1 ],[344.14798,1 ],[344.15286,1 ],[344.15775,1 ],[344.16263,1 ],[344.16752,2 ],[344.17240,2 ],[344.17728,1 ],[344.18217,0 ],[344.18705,0 ],[344.19194,0 ],[344.19682,-1 ],[344.20170,0 ],[344.20659,1 ],[344.21147,2 ],[344.21636,1 ],[344.22124,0 ],[344.22612,0 ],[344.23101,0 ],[344.23589,1 ],[344.24078,1 ],[344.24566,1 ],[344.25054,2 ],[344.25543,2 ],[344.26031,1 ],[344.26520,1 ],[344.27008,0 ],[344.27496,1 ],[344.27985,2 ],[344.28473,2 ],[344.28962,2 ],[344.29450,2 ],[344.29938,2 ],[344.30427,2 ],[344.30915,1 ],[344.31404,0 ],[344.31892,-1 ],[344.32380,-1 ],[344.32869,0 ],[344.33357,1 ],[344.33846,2 ],[344.34334,1 ],[344.34822,0 ],[344.35311,1 ],[344.35799,1 ],[344.36288,2 ],[344.36776,2 ],[344.37264,1 ],[344.37753,1 ],[344.38241,2 ],[344.38730,1 ],[344.39218,0 ],[344.39706,0 ],[344.40195,1 ],[344.40683,0 ],[344.41172,0 ],[344.41660,0 ],[344.42148,1 ],[344.42637,2 ],[344.43125,2 ],[344.43614,1 ],[344.44102,2 ],[344.44590,3 ],[344.45079,3 ],[344.45567,2 ],[344.46056,1 ],[344.46544,0 ],[344.47032,0 ],[344.47521,-1 ],[344.48009,0 ],[344.48498,0 ],[344.48986,1 ],[344.49474,1 ],[344.49963,1 ],[344.50451,1 ],[344.50940,2 ],[344.51428,3 ],[344.51916,4 ],[344.52405,4 ],[344.52893,3 ],[344.53382,2 ],[344.53870,1 ],[344.54358,1 ],[344.54847,1 ],[344.55335,0 ],[344.55824,0 ],[344.56312,1 ],[344.56800,1 ],[344.57289,3 ],[344.57777,2 ],[344.58266,2 ],[344.58754,2 ],[344.59242,1 ],[344.59731,0 ],[344.60219,0 ],[344.60708,-1 ],[344.61196,0 ],[344.61684,0 ],[344.62173,0 ],[344.62661,0 ],[344.63150,0 ],[344.63638,0 ],[344.64126,-1 ],[344.64615,0 ],[344.65103,1 ],[344.65592,3 ],[344.66080,2 ],[344.66568,1 ],[344.67057,1 ],[344.67545,0 ],[344.68034,-1 ],[344.68522,-1 ],[344.69010,0 ],[344.69499,0 ],[344.69987,0 ],[344.70476,0 ],[344.70964,-1 ],[344.71452,0 ],[344.71941,1 ],[344.72429,0 ],[344.72918,0 ],[344.73406,0 ],[344.73894,1 ],[344.74383,1 ],[344.74871,0 ],[344.75360,1 ],[344.75848,1 ],[344.76336,2 ],[344.76825,2 ],[344.77313,2 ],[344.77802,1 ],[344.78290,1 ],[344.78778,1 ],[344.79267,2 ],[344.79755,2 ],[344.80244,2 ],[344.80732,1 ],[344.81221,0 ],[344.81709,0 ],[344.82197,0 ],[344.82686,0 ],[344.83174,0 ],[344.83663,1 ],[344.84151,2 ],[344.84639,0 ],[344.85128,0 ],[344.85616,0 ],[344.86105,1 ],[344.86593,1 ],[344.87081,1 ],[344.87570,1 ],[344.88058,1 ],[344.88547,2 ],[344.89035,2 ],[344.89523,2 ],[344.90012,1 ],[344.90500,0 ],[344.90989,0 ],[344.91477,1 ],[344.91965,1 ],[344.92454,1 ],[344.92942,1 ],[344.93431,2 ],[344.93919,1 ],[344.94407,1 ],[344.94896,1 ],[344.95384,0 ],[344.95873,0 ],[344.96361,1 ],[344.96849,2 ],[344.97338,1 ],[344.97826,1 ],[344.98315,1 ],[344.98803,2 ],[344.99291,3 ],[344.99780,3 ],[345.00268,2 ],[345.00757,1 ],[345.01245,1 ],[345.01733,2 ],[345.02222,1 ],[345.02710,1 ],[345.03199,1 ],[345.03687,2 ],[345.04175,1 ],[345.04664,2 ],[345.05152,2 ],[345.05641,1 ],[345.06129,0 ],[345.06617,1 ],[345.07106,1 ],[345.07594,1 ],[345.08083,1 ],[345.08571,1 ],[345.09059,2 ],[345.09548,1 ],[345.10036,0 ],[345.10525,1 ],[345.11013,0 ],[345.11501,0 ],[345.11990,-1 ],[345.12478,0 ],[345.12967,0 ],[345.13455,0 ],[345.13943,0 ],[345.14432,0 ],[345.14920,0 ],[345.15409,1 ],[345.15897,2 ],[345.16385,2 ],[345.16874,2 ],[345.17362,0 ],[345.17851,0 ],[345.18339,0 ],[345.18827,1 ],[345.19316,1 ],[345.19804,1 ],[345.20293,0 ],[345.20781,1 ],[345.21269,1 ],[345.21758,1 ],[345.22246,1 ],[345.22735,1 ],[345.23223,1 ],[345.23711,1 ],[345.24200,1 ],[345.24688,1 ],[345.25177,1 ],[345.25665,0 ],[345.26153,0 ],[345.26642,0 ],[345.27130,1 ],[345.27619,2 ],[345.28107,2 ],[345.28595,2 ],[345.29084,1 ],[345.29572,1 ],[345.30061,0 ],[345.30549,1 ],[345.31037,1 ],[345.31526,1 ],[345.32014,2 ],[345.32503,2 ],[345.32991,2 ],[345.33479,1 ],[345.33968,1 ],[345.34456,0 ],[345.34945,0 ],[345.35433,0 ],[345.35921,0 ],[345.36410,0 ],[345.36898,1 ],[345.37387,1 ],[345.37875,2 ],[345.38363,2 ],[345.38852,2 ],[345.39340,1 ],[345.39829,1 ],[345.40317,2 ],[345.40805,2 ],[345.41294,1 ],[345.41782,1 ],[345.42271,1 ],[345.42759,1 ],[345.43247,2 ],[345.43736,2 ],[345.44224,1 ],[345.44713,0 ],[345.45201,1 ],[345.45689,2 ],[345.46178,2 ],[345.46666,2 ],[345.47155,2 ],[345.47643,1 ],[345.48131,1 ],[345.48620,2 ],[345.49108,2 ],[345.49597,1 ],[345.50085,1 ],[345.50573,2 ],[345.51062,2 ],[345.51550,1 ],[345.52039,2 ],[345.52527,1 ],[345.53015,1 ],[345.53504,1 ],[345.53992,1 ],[345.54481,0 ],[345.54969,1 ],[345.55457,1 ],[345.55946,1 ],[345.56434,1 ],[345.56923,1 ],[345.57411,2 ],[345.57899,2 ],[345.58388,2 ],[345.58876,2 ],[345.59365,2 ],[345.59853,2 ],[345.60341,2 ],[345.60830,1 ],[345.61318,1 ],[345.61807,1 ],[345.62295,1 ],[345.62783,1 ],[345.63272,1 ],[345.63760,0 ],[345.64249,0 ],[345.64737,1 ],[345.65225,1 ],[345.65714,2 ],[345.66202,2 ],[345.66691,2 ],[345.67179,3 ],[345.67667,3 ],[345.68156,2 ],[345.68644,2 ],[345.69133,1 ],[345.69621,2 ],[345.70109,2 ],[345.70598,2 ],[345.71086,2 ],[345.71575,2 ],[345.72063,1 ],[345.72551,1 ],[345.73040,1 ],[345.73528,1 ],[345.74017,2 ],[345.74505,2 ],[345.74993,2 ],[345.75482,2 ],[345.75970,3 ],[345.76459,2 ],[345.76947,1 ],[345.77435,1 ],[345.77924,1 ],[345.78412,1 ],[345.78901,1 ],[345.79389,1 ],[345.79877,1 ],[345.80366,1 ],[345.80854,1 ],[345.81343,2 ],[345.81831,1 ],[345.82319,1 ],[345.82808,1 ],[345.83296,2 ],[345.83785,2 ],[345.84273,2 ],[345.84761,1 ],[345.85250,0 ],[345.85738,0 ],[345.86227,0 ],[345.86715,1 ],[345.87203,1 ],[345.87692,1 ],[345.88180,1 ],[345.88669,1 ],[345.89157,1 ],[345.89645,2 ],[345.90134,0 ],[345.90622,1 ],[345.91111,1 ],[345.91599,1 ],[345.92087,2 ],[345.92576,1 ],[345.93064,1 ],[345.93553,1 ],[345.94041,2 ],[345.94529,2 ],[345.95018,1 ],[345.95506,1 ],[345.95995,1 ],[345.96483,1 ],[345.96971,1 ],[345.97460,2 ],[345.97948,2 ],[345.98437,2 ],[345.98925,1 ],[345.99413,1 ],[345.99902,0 ],[346.00390,1 ],[346.00879,1 ],[346.01367,2 ],[346.01855,1 ],[346.02344,1 ],[346.02832,1 ],[346.03321,1 ],[346.03809,1 ],[346.04297,1 ],[346.04786,0 ],[346.05274,0 ],[346.05763,0 ],[346.06251,1 ],[346.06739,1 ],[346.07228,1 ],[346.07716,1 ],[346.08205,1 ],[346.08693,1 ],[346.09181,2 ],[346.09670,2 ],[346.10158,1 ],[346.10647,0 ],[346.11135,0 ],[346.11623,0 ],[346.12112,1 ],[346.12600,2 ],[346.13089,2 ],[346.13577,2 ],[346.14065,2 ],[346.14554,1 ],[346.15042,1 ],[346.15531,1 ],[346.16019,0 ],[346.16507,0 ],[346.16996,0 ],[346.17484,0 ],[346.17973,1 ],[346.18461,1 ],[346.18949,2 ],[346.19438,1 ],[346.19926,1 ],[346.20415,1 ],[346.20903,1 ],[346.21391,1 ],[346.21880,1 ],[346.22368,2 ],[346.22857,1 ],[346.23345,1 ],[346.23833,2 ],[346.24322,2 ],[346.24810,2 ],[346.25299,2 ],[346.25787,1 ],[346.26275,0 ],[346.26764,1 ],[346.27252,1 ],[346.27741,1 ],[346.28229,2 ],[346.28717,2 ],[346.29206,2 ],[346.29694,2 ],[346.30183,1 ],[346.30671,1 ],[346.31159,1 ],[346.31648,1 ],[346.32136,1 ],[346.32625,2 ],[346.33113,2 ],[346.33601,1 ],[346.34090,1 ],[346.34578,0 ],[346.35067,1 ],[346.35555,2 ],[346.36043,2 ],[346.36532,2 ],[346.37020,2 ],[346.37509,2 ],[346.37997,1 ],[346.38485,0 ],[346.38974,1 ],[346.39462,2 ],[346.39951,1 ],[346.40439,0 ],[346.40927,2 ],[346.41416,3 ],[346.41904,3 ],[346.42393,3 ],[346.42881,2 ],[346.43369,2 ],[346.43858,1 ],[346.44346,1 ],[346.44835,2 ],[346.45323,2 ],[346.45811,1 ],[346.46300,1 ],[346.46788,2 ],[346.47277,1 ],[346.47765,1 ],[346.48253,2 ],[346.48742,2 ],[346.49230,1 ],[346.49719,0 ],[346.50207,-1 ],[346.50695,-1 ],[346.51184,-1 ],[346.51672,0 ],[346.52161,0 ],[346.52649,0 ],[346.53137,1 ],[346.53626,1 ],[346.54114,2 ],[346.54603,2 ],[346.55091,1 ],[346.55579,1 ],[346.56068,1 ],[346.56556,1 ],[346.57045,1 ],[346.57533,0 ],[346.58021,1 ],[346.58510,1 ],[346.58998,1 ],[346.59487,1 ],[346.59975,1 ],[346.60463,0 ],[346.60952,1 ],[346.61440,2 ],[346.61929,1 ],[346.62417,1 ],[346.62905,1 ],[346.63394,1 ],[346.63882,2 ],[346.64371,2 ],[346.64859,1 ],[346.65347,0 ],[346.65836,0 ],[346.66324,1 ],[346.66813,1 ],[346.67301,0 ],[346.67789,-1 ],[346.68278,-1 ],[346.68766,0 ],[346.69255,0 ],[346.69743,0 ],[346.70231,0 ],[346.70720,0 ],[346.71208,1 ],[346.71697,1 ],[346.72185,0 ],[346.72673,1 ],[346.73162,1 ],[346.73650,1 ],[346.74139,1 ],[346.74627,1 ],[346.75115,1 ],[346.75604,1 ],[346.76092,2 ],[346.76581,1 ],[346.77069,1 ],[346.77557,2 ],[346.78046,3 ],[346.78534,3 ],[346.79023,3 ],[346.79511,3 ],[346.8,2 ],[]
| 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
