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@barrbrain
Last active May 23, 2019 14:50
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Chroma quantizer balance (subset3-y4m)
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{
"cells": [
{
"cell_type": "raw",
"metadata": {},
"source": [
"<script>\n",
" function code_toggle() {\n",
" if (code_shown){\n",
" $('div.input').hide('500');\n",
" $('#toggleButton').val('Show Code')\n",
" } else {\n",
" $('div.input').show('500');\n",
" $('#toggleButton').val('Hide Code')\n",
" }\n",
" code_shown = !code_shown\n",
" }\n",
"\n",
" $( document ).ready(function(){\n",
" code_shown=false;\n",
" $('div.input').hide()\n",
" });\n",
"</script>\n",
"<form action=\"javascript:code_toggle()\"><input type=\"submit\" id=\"toggleButton\" value=\"Show Code\"></form>"
]
},
{
"cell_type": "code",
"execution_count": 1,
"metadata": {
"tags": [
"hidecode"
]
},
"outputs": [],
"source": [
"%matplotlib inline\n",
"import numpy as np\n",
"import matplotlib.pyplot as plt\n",
"from scipy.interpolate import PchipInterpolator\n",
"\n",
"raw_data = np.loadtxt('out.csv', delimiter=',')\n",
"ms = sorted(set(raw_data.T[0]))\n",
"qs = sorted(set(raw_data.T[1]))\n",
"M_interp = 16\n",
"Ms = np.linspace(min(ms), max(ms), (len(ms) - 1)*M_interp + 1)\n",
"\n",
"def aggregate(data, drop=None, label=None):\n",
" pixels = data.T[5]*data.T[6]*3//2\n",
" for Q in qs:\n",
" rate = []\n",
" psnr = []\n",
" de = []\n",
" for M in ms:\n",
" idx = (data.T[0] == M) & (data.T[1] == Q) \n",
" if drop is not None and label is not None:\n",
" idx = idx & (label != drop)\n",
" px_idx = pixels[idx]\n",
" px_sum = px_idx.sum()\n",
" rate.append(data[idx,2].sum()*8/px_sum)\n",
" psnr.append((data[idx,3] * px_idx).sum()/px_sum)\n",
" de.append((data[idx,4] * px_idx).sum()/px_sum)\n",
" # Interpolate the results\n",
" rate_ = np.poly1d(np.polyfit(ms, np.log(rate), 3))\n",
" psnr_ = np.poly1d(np.polyfit(ms, psnr, 3))\n",
" de_ = np.poly1d(np.polyfit(ms, de, 3))\n",
" for M in Ms:\n",
" yield (M, Q, np.exp(rate_(M)), psnr_(M), de_(M))\n",
"\n",
"data = np.array([v for v in aggregate(raw_data)])"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Quality vs bitrate (color vs brightness)\n",
"\n",
"### Analysis by [David Michael Barr](https://github.com/barrbrain)\n",
"\n",
"[CIEDE2000](https://en.wikipedia.org/wiki/Color_difference#CIEDE2000) is a perceptually uniform measure of color difference.\n",
"\n",
"[PSNR](https://en.wikipedia.org/wiki/Peak_signal-to-noise_ratio) is an essential measure of error, in this case restricted to differences in brightness.\n",
"\n",
"In the following plots, we compare the trends in quality vs bitrate for various allocations of color detail."
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {
"tags": [
"hidecode"
]
},
"outputs": [
{
"data": {
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\n",
"text/plain": [
"<Figure size 1152x576 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def plot_rd(D, N, C):\n",
" X = data.T[2][data.T[0] == N]\n",
" Y = data.T[D][data.T[0] == N]\n",
" Y_ = np.linspace(Y.min(), Y.max(), 1000)\n",
" X_ = np.exp(PchipInterpolator(Y[::-1], np.log(X[::-1]))(Y_))\n",
" plt.semilogx(X_, Y_, color=C, lw=.5)\n",
"\n",
"plt.figure(figsize=(16, 8))\n",
"plt.subplot(121)\n",
"plt.title('subset3')\n",
"plt.xlabel('bits per pixel')\n",
"plt.ylabel('CIEDE2000')\n",
"for N in range(40, 101):\n",
" plot_rd(4, N, plt.cm.gray(N*3-100))\n",
"plot_rd(4, 68, 'r')\n",
"plt.xlim([data.T[2].min(), data.T[2].max()])\n",
"plt.ylim([data.T[4].min(), data.T[4].max()]);\n",
"\n",
"plt.subplot(122)\n",
"plt.title('subset3')\n",
"plt.xlabel('bits per pixel')\n",
"plt.ylabel('PSNR')\n",
"for N in range(40, 101):\n",
" plot_rd(3, N, plt.cm.gray(N*3-100))\n",
"plot_rd(3, 68, 'r')\n",
"plt.xlim([data.T[2].min(), data.T[2].max()])\n",
"plt.ylim([data.T[3].min(), data.T[3].max()]);"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We found the balance of color detail that maximized perceived color matching but that ended up significantly harming details in brightness for small improvements in color accuracy. So we traded the marginal gains in color accuracy for greater losses in brightness detail by stepping back to the point where there is an even trade between the two."
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {
"tags": [
"hidecode"
]
},
"outputs": [
{
"data": {
"text/plain": [
"(0.028925745693066246, -0.056701091670904945, 1089.013519825164)"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
"image/png": 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\n",
"text/plain": [
"<Figure size 1152x648 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def get_bdr(D):\n",
" top = min([data.T[D][data.T[0] == N].max() for N in Ms])\n",
" bottom = max([data.T[D][data.T[0] == N].min() for N in Ms])\n",
"\n",
" def interp(N):\n",
" Y = np.log(data.T[2][data.T[0] == N])\n",
" X = data.T[D][data.T[0] == N]\n",
" pchip = PchipInterpolator(X[::-1], Y[::-1], extrapolate=True)\n",
" return pchip.integrate(bottom, top) / (top - bottom)\n",
"\n",
" base = interp(96)\n",
" return [np.exp(interp(N) - base) - 1 for N in Ms]\n",
" \n",
"de_bdr = get_bdr(4)\n",
"de_bdr_ = np.polyfit(x=Ms, y=de_bdr, deg=3)\n",
"de_bdr__ = np.polyder(de_bdr_)\n",
"psnr_bdr = get_bdr(3)\n",
"psnr_bdr_ = np.polyfit(x=Ms, y=psnr_bdr, deg=3)\n",
"psnr_bdr__ = np.polyder(psnr_bdr_)\n",
"\n",
"best = np.roots(de_bdr__+psnr_bdr__)[0]\n",
"\n",
"plt.figure(figsize=(16, 9))\n",
"plt.title('subset3')\n",
"plt.xlabel('chroma quantizer gradient Q6')\n",
"plt.ylabel('BD-rate')\n",
"# Q8 to Q6 (/4), since we sampled with a step of 4.\n",
"plt.scatter(Ms[::M_interp]/4, de_bdr[::M_interp], s=3)\n",
"plt.scatter(Ms[::M_interp]/4, psnr_bdr[::M_interp], s=3)\n",
"plt.plot(Ms/4, np.poly1d(de_bdr_)(Ms), label='CIEDE2000')\n",
"plt.plot(Ms/4, np.poly1d(psnr_bdr_)(Ms), label='PSNR')\n",
"plt.vlines(x=best/4, ymax=max(de_bdr), ymin=min(psnr_bdr), label='best - '+str(int(round(best/4))))\n",
"plt.xlim([10, 25])\n",
"plt.ylim([min(psnr_bdr), max(de_bdr)])\n",
"plt.legend();\n",
"np.poly1d(de_bdr_)(best), np.poly1d(psnr_bdr_)(best), best*16"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"We repeated the analysis many times with slightly different collections of images to show the typical balance point and how much it varied according to which images were tested."
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {
"tags": [
"hidecode"
]
},
"outputs": [
{
"data": {
"text/plain": [
"array([16.78941863, 16.82228216, 16.82677867, 16.82886581, 16.84820511,\n",
" 16.85198117, 16.87583535, 16.88311918, 16.883748 , 16.88789836,\n",
" 16.89421253, 16.90329681, 16.90770884, 16.90985357, 16.91233044,\n",
" 16.91346879, 16.92122706, 16.9228993 , 16.92693143, 16.94032385,\n",
" 16.94451887, 16.95208867, 16.95286411, 16.95416093, 16.95793928,\n",
" 16.96025926, 16.96064708, 16.96136425, 16.96146212, 16.96318064,\n",
" 16.96333769, 16.96428518, 16.9669432 , 16.97506318, 16.9779565 ,\n",
" 16.97847716, 16.98119767, 16.98865472, 16.9899663 , 16.99040495,\n",
" 16.99945894, 17.00128212, 17.00203656, 17.00225844, 17.00835357,\n",
" 17.01546248, 17.01648847, 17.01915164, 17.01925646, 17.01983071,\n",
" 17.02041394, 17.02093636, 17.0236123 , 17.03076026, 17.03269324,\n",
" 17.0373965 , 17.03809949, 17.04001395, 17.04006294, 17.0417615 ,\n",
" 17.04188977, 17.04350556, 17.04393986, 17.04464277, 17.04723339,\n",
" 17.05164613, 17.05226331, 17.05237272, 17.05270346, 17.05417128,\n",
" 17.05493585, 17.06163489, 17.06455797, 17.06526704, 17.06740377,\n",
" 17.07398739, 17.07777224, 17.07804934, 17.08407846, 17.08858505,\n",
" 17.09067318, 17.09478911, 17.09811564, 17.10522728, 17.11780949,\n",
" 17.1181685 , 17.12137934, 17.12411801, 17.12609942, 17.13804293,\n",
" 17.13840306, 17.15795359, 17.18132875, 17.18293961, 17.18660995,\n",
" 17.18934696, 17.19003433, 17.19308542, 17.20618555, 17.21195041])"
]
},
"execution_count": 4,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"best = []\n",
"raw_label = raw_data.T[7].astype(int) - 1\n",
"label_map = np.arange(raw_label.max() + 1) % 4\n",
"import multiprocessing\n",
"\n",
"def optimize(drop):\n",
" data = np.array([v for v in aggregate(raw_data, drop, label)])\n",
"\n",
" def get_bdr(D):\n",
" top = min([data.T[D][data.T[0] == N].max() for N in Ms])\n",
" bottom = max([data.T[D][data.T[0] == N].min() for N in Ms])\n",
"\n",
" def interp(N):\n",
" Y = np.log(data.T[2][data.T[0] == N])\n",
" X = data.T[D][data.T[0] == N]\n",
" pchip = PchipInterpolator(X[::-1], Y[::-1], extrapolate=True)\n",
" return pchip.integrate(bottom, top) / (top - bottom)\n",
"\n",
" base = interp(96)\n",
" return [np.exp(interp(N) - base) - 1 for N in Ms]\n",
"\n",
" de_bdr = get_bdr(4)\n",
" de_bdr_ = np.polyfit(x=Ms, y=de_bdr, deg=3)\n",
" de_bdr__ = np.polyder(de_bdr_)\n",
" psnr_bdr = get_bdr(3)\n",
" psnr_bdr_ = np.polyfit(x=Ms, y=psnr_bdr, deg=3)\n",
" psnr_bdr__ = np.polyder(psnr_bdr_)\n",
"\n",
" return np.roots(de_bdr__+psnr_bdr__)[0]\n",
"\n",
"for drop_outter in range(25):\n",
" np.random.shuffle(label_map)\n",
" label = label_map[raw_label]\n",
" pool = multiprocessing.Pool(4)\n",
" best.extend(pool.map(optimize, range(4)))\n",
" pool.close()\n",
" pool.join()\n",
"\n",
"# Q8 to Q6 (/4), since we sampled with a step of 4.\n",
"best = np.array(sorted(set(best)))/4\n",
"best"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {
"tags": [
"hidecode"
]
},
"outputs": [
{
"data": {
"text/plain": [
"(17.016841899645836, 0.08920247608042965)"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
},
{
"data": {
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"text/plain": [
"<Figure size 1152x648 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"import seaborn as sns\n",
"from scipy.stats import mstats\n",
"from scipy.stats import norm\n",
"best_ = mstats.winsorize(best,(.05,.05))\n",
"plt.figure(figsize=(16, 9))\n",
"sns.distplot(best_, rug=True, hist=False, fit=norm, kde=True);\n",
"best_.mean(), best_.std()"
]
}
],
"metadata": {
"anaconda-cloud": {},
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.7.0"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
We can't make this file beautiful and searchable because it's too large.
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96,133,75093,37.7432,39.4823,1296,864,9
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96,165,44423,34.7067,37.4692,1296,864,9
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96,197,24128,31.5738,35.2396,1296,864,9
96,213,16501,29.8626,33.9833,1296,864,9
96,229,11729,28.5489,32.9107,1296,864,9
96,245,8736,27.4942,31.9922,1296,864,9
100,5,618182,54.6178,51.5721,1296,864,9
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100,101,118460,40.6299,41.3879,1296,864,9
100,117,95661,39.2579,40.4647,1296,864,9
100,133,75575,37.7406,39.5246,1296,864,9
100,149,59391,36.2846,38.5533,1296,864,9
100,165,45037,34.7104,37.5108,1296,864,9
100,181,33699,33.1405,36.3916,1296,864,9
100,197,24696,31.5829,35.2588,1296,864,9
100,213,16989,29.9177,34.0619,1296,864,9
100,229,12080,28.5452,32.9680,1296,864,9
100,245,8952,27.4798,32.0463,1296,864,9
40,5,492008,54.6404,52.9887,816,1192,10
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40,101,59246,39.6212,41.7219,816,1192,10
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40,133,31607,37.7114,40.2062,816,1192,10
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40,165,16733,35.8495,38.6672,816,1192,10
40,181,12003,34.8409,37.6513,816,1192,10
40,197,8618,33.7944,36.7999,816,1192,10
40,213,6040,32.6488,35.6945,816,1192,10
40,229,4298,31.5443,34.5042,816,1192,10
40,245,3267,30.7090,33.7556,816,1192,10
44,5,492008,54.6404,52.9887,816,1192,10
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44,165,16829,35.8433,38.6857,816,1192,10
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44,197,8673,33.7748,36.8570,816,1192,10
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48,5,492008,54.6404,52.9887,816,1192,10
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48,101,59489,39.6029,41.7603,816,1192,10
48,117,43699,38.6679,41.0149,816,1192,10
48,133,31901,37.7190,40.2486,816,1192,10
48,149,23494,36.8376,39.5481,816,1192,10
48,165,16938,35.8575,38.7147,816,1192,10
48,181,12169,34.8552,37.8438,816,1192,10
48,197,8764,33.8011,36.8789,816,1192,10
48,213,6164,32.6541,35.8407,816,1192,10
48,229,4385,31.5748,34.8551,816,1192,10
48,245,3358,30.7267,33.9901,816,1192,10
52,5,492008,54.6404,52.9887,816,1192,10
52,21,285459,48.7597,48.3844,816,1192,10
52,37,193442,45.5119,46.1565,816,1192,10
52,53,143270,43.4373,44.6509,816,1192,10
52,69,104482,41.7411,43.4123,816,1192,10
52,85,80576,40.6603,42.6115,816,1192,10
52,101,59647,39.6029,41.7894,816,1192,10
52,117,43850,38.6746,41.0608,816,1192,10
52,133,32061,37.7210,40.2783,816,1192,10
52,149,23636,36.8261,39.5750,816,1192,10
52,165,17064,35.8654,38.7818,816,1192,10
52,181,12267,34.8607,37.8671,816,1192,10
52,197,8827,33.8007,36.8814,816,1192,10
52,213,6225,32.6817,35.8917,816,1192,10
52,229,4439,31.5628,34.9175,816,1192,10
52,245,3377,30.6981,34.0226,816,1192,10
56,5,492008,54.6404,52.9887,816,1192,10
56,21,285934,48.7787,48.4044,816,1192,10
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56,101,59893,39.6023,41.8276,816,1192,10
56,117,44104,38.6725,41.0730,816,1192,10
56,133,32225,37.7236,40.3066,816,1192,10
56,149,23740,36.8303,39.5890,816,1192,10
56,165,17193,35.8657,38.7841,816,1192,10
56,181,12396,34.8394,37.9409,816,1192,10
56,197,8891,33.8056,36.9156,816,1192,10
56,213,6298,32.6653,35.9902,816,1192,10
56,229,4519,31.5919,34.9576,816,1192,10
56,245,3425,30.6972,34.0689,816,1192,10
60,5,492008,54.6404,52.9887,816,1192,10
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60,53,143780,43.4378,44.7062,816,1192,10
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60,117,44343,38.6772,41.1001,816,1192,10
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60,213,6362,32.6768,36.0513,816,1192,10
60,229,4574,31.5808,35.0771,816,1192,10
60,245,3489,30.7235,34.2121,816,1192,10
64,5,492434,54.6301,53.0419,816,1192,10
64,21,286121,48.7671,48.4449,816,1192,10
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64,197,9125,33.8330,37.0841,816,1192,10
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64,245,3567,30.7454,34.2242,816,1192,10
68,5,492434,54.6301,53.0419,816,1192,10
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68,213,6543,32.6942,36.0824,816,1192,10
68,229,4726,31.5701,35.1194,816,1192,10
68,245,3625,30.7142,34.3282,816,1192,10
72,5,492434,54.6301,53.0419,816,1192,10
72,21,287464,48.7571,48.5334,816,1192,10
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72,197,9343,33.8182,37.2290,816,1192,10
72,213,6644,32.7028,36.1263,816,1192,10
72,229,4800,31.5861,35.1671,816,1192,10
72,245,3677,30.7236,34.3850,816,1192,10
76,5,492434,54.6301,53.0419,816,1192,10
76,21,287464,48.7571,48.5334,816,1192,10
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76,245,3758,30.7195,34.3844,816,1192,10
80,5,492434,54.6301,53.0419,816,1192,10
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80,37,195694,45.5217,46.3187,816,1192,10
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80,69,106623,41.7578,43.5837,816,1192,10
80,85,82729,40.6661,42.7441,816,1192,10
80,101,61216,39.5982,41.9483,816,1192,10
80,117,45653,38.6994,41.2499,816,1192,10
80,133,33294,37.7071,40.4723,816,1192,10
80,149,24810,36.8422,39.7781,816,1192,10
80,165,18117,35.8811,38.9852,816,1192,10
80,181,13166,34.8657,38.1977,816,1192,10
80,197,9676,33.8665,37.3241,816,1192,10
80,213,6807,32.6797,36.2761,816,1192,10
80,229,4983,31.6002,35.2499,816,1192,10
80,245,3858,30.7542,34.4551,816,1192,10
84,5,492434,54.6301,53.0419,816,1192,10
84,21,289282,48.7738,48.5906,816,1192,10
84,37,196066,45.5129,46.3321,816,1192,10
84,53,145847,43.4399,44.8204,816,1192,10
84,69,107110,41.7558,43.6157,816,1192,10
84,85,82703,40.6546,42.7580,816,1192,10
84,101,61665,39.6070,41.9531,816,1192,10
84,117,45642,38.6720,41.2544,816,1192,10
84,133,33686,37.7266,40.5162,816,1192,10
84,149,24996,36.8425,39.8124,816,1192,10
84,165,18323,35.8826,39.0551,816,1192,10
84,181,13262,34.8605,38.2182,816,1192,10
84,197,9782,33.8335,37.3507,816,1192,10
84,213,6958,32.6654,36.3506,816,1192,10
84,229,5065,31.5861,35.2663,816,1192,10
84,245,3928,30.7396,34.4802,816,1192,10
88,5,492434,54.6301,53.0419,816,1192,10
88,21,289282,48.7738,48.5906,816,1192,10
88,37,196165,45.5154,46.3053,816,1192,10
88,53,146313,43.4377,44.8475,816,1192,10
88,69,107509,41.7619,43.6379,816,1192,10
88,85,82906,40.6556,42.7704,816,1192,10
88,101,62026,39.6209,41.9750,816,1192,10
88,117,45987,38.6795,41.2686,816,1192,10
88,133,33854,37.7266,40.5492,816,1192,10
88,149,25293,36.8381,39.8342,816,1192,10
88,165,18510,35.8802,39.0558,816,1192,10
88,181,13501,34.8683,38.2285,816,1192,10
88,197,9934,33.8523,37.3899,816,1192,10
88,213,7100,32.6921,36.4014,816,1192,10
88,229,5191,31.5964,35.3459,816,1192,10
88,245,4038,30.7334,34.5095,816,1192,10
92,5,492434,54.6301,53.0419,816,1192,10
92,21,289509,48.7669,48.6401,816,1192,10
92,37,197112,45.5191,46.3597,816,1192,10
92,53,146510,43.4393,44.8669,816,1192,10
92,69,107526,41.7521,43.6409,816,1192,10
92,85,83504,40.6586,42.8094,816,1192,10
92,101,62358,39.6011,42.0048,816,1192,10
92,117,46257,38.6939,41.2961,816,1192,10
92,133,34150,37.7283,40.5793,816,1192,10
92,149,25454,36.8381,39.8425,816,1192,10
92,165,18749,35.8649,39.0873,816,1192,10
92,181,13649,34.8596,38.2559,816,1192,10
92,197,10093,33.8598,37.4416,816,1192,10
92,213,7221,32.6775,36.3982,816,1192,10
92,229,5308,31.5958,35.4075,816,1192,10
92,245,4133,30.7130,34.5713,816,1192,10
96,5,492434,54.6301,53.0419,816,1192,10
96,21,289820,48.7690,48.6315,816,1192,10
96,37,197568,45.5185,46.3757,816,1192,10
96,53,146618,43.4391,44.8622,816,1192,10
96,69,108193,41.7449,43.6572,816,1192,10
96,85,83766,40.6629,42.8207,816,1192,10
96,101,62785,39.6076,42.0279,816,1192,10
96,117,46626,38.6885,41.3147,816,1192,10
96,133,34441,37.7231,40.5900,816,1192,10
96,149,25668,36.8264,39.8735,816,1192,10
96,165,18883,35.8732,39.1195,816,1192,10
96,181,13911,34.8698,38.3141,816,1192,10
96,197,10254,33.8445,37.4476,816,1192,10
96,213,7377,32.7051,36.4610,816,1192,10
96,229,5442,31.5695,35.4528,816,1192,10
96,245,4234,30.7307,34.6180,816,1192,10
100,5,492434,54.6301,53.0419,816,1192,10
100,21,290620,48.7702,48.6944,816,1192,10
100,37,197568,45.5185,46.3757,816,1192,10
100,53,147599,43.4393,44.9098,816,1192,10
100,69,108477,41.7454,43.6672,816,1192,10
100,85,84465,40.6909,42.8615,816,1192,10
100,101,62948,39.6032,42.0373,816,1192,10
100,117,47002,38.6934,41.3127,816,1192,10
100,133,34714,37.7361,40.6343,816,1192,10
100,149,25991,36.8350,39.9012,816,1192,10
100,165,19173,35.8785,39.1561,816,1192,10
100,181,14056,34.8425,38.2897,816,1192,10
100,197,10408,33.8198,37.4825,816,1192,10
100,213,7584,32.7124,36.5105,816,1192,10
100,229,5633,31.6196,35.5233,816,1192,10
100,245,4359,30.7203,34.6312,816,1192,10
40,5,837748,33.4393,52.4066,1268,868,11
40,21,546479,33.3576,45.9623,1268,868,11
40,37,407408,33.2026,43.2537,1268,868,11
40,53,322153,33.0131,41.5389,1268,868,11
40,69,269071,32.8331,40.3868,1268,868,11
40,85,233608,32.6305,39.5306,1268,868,11
40,101,197304,32.3660,38.6175,1268,868,11
40,117,161753,31.9531,37.5641,1268,868,11
40,133,128913,31.4091,36.4326,1268,868,11
40,149,101031,30.6643,35.2634,1268,868,11
40,165,76480,29.7152,34.0082,1268,868,11
40,181,55992,28.6106,32.6946,1268,868,11
40,197,40057,27.4644,31.4568,1268,868,11
40,213,27183,26.1662,30.1356,1268,868,11
40,229,18357,24.9360,28.8764,1268,868,11
40,245,12955,23.9572,27.8830,1268,868,11
44,5,837748,33.4393,52.4066,1268,868,11
44,21,546479,33.3576,45.9623,1268,868,11
44,37,408135,33.2073,43.3097,1268,868,11
44,53,323210,33.0135,41.5872,1268,868,11
44,69,270033,32.8225,40.4243,1268,868,11
44,85,234286,32.6357,39.5855,1268,868,11
44,101,198376,32.3641,38.6705,1268,868,11
44,117,162286,31.9518,37.6111,1268,868,11
44,133,129347,31.3953,36.4549,1268,868,11
44,149,101421,30.6665,35.2898,1268,868,11
44,165,76626,29.7038,34.0453,1268,868,11
44,181,56230,28.6043,32.7487,1268,868,11
44,197,40175,27.4419,31.4995,1268,868,11
44,213,27347,26.1395,30.2215,1268,868,11
44,229,18417,24.9428,28.9561,1268,868,11
44,245,12984,23.9813,27.9907,1268,868,11
48,5,837748,33.4393,52.4066,1268,868,11
48,21,551026,33.3534,46.1487,1268,868,11
48,37,409548,33.2063,43.3396,1268,868,11
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96,229,3610,34.9498,38.2292,816,1232,15
96,245,2862,33.9482,37.2478,816,1232,15
100,5,293827,54.8105,52.0625,816,1232,15
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100,229,3705,34.9535,38.3328,816,1232,15
100,245,2972,33.9282,37.3607,816,1232,15
40,5,582304,54.6762,51.9406,1232,816,16
40,21,347341,49.0505,46.6630,1232,816,16
40,37,250725,46.1014,44.4011,1232,816,16
40,53,198809,44.1859,42.9944,1232,816,16
40,69,165988,42.7521,41.8949,1232,816,16
40,85,142347,41.5403,41.0025,1232,816,16
40,101,118566,40.2425,39.9970,1232,816,16
40,117,95826,38.7477,38.9058,1232,816,16
40,133,75073,37.1490,37.6621,1232,816,16
40,149,58411,35.6097,36.4766,1232,816,16
40,165,43498,33.9128,35.1869,1232,816,16
40,181,31740,32.3084,33.9794,1232,816,16
40,197,22908,30.8160,32.6962,1232,816,16
40,213,15877,29.2851,31.4403,1232,816,16
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96,213,17662,29.8684,32.5831,936,1404,72
96,229,12588,28.9440,31.5310
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