Skip to content

Instantly share code, notes, and snippets.

@tjlane
Created January 15, 2020 15:54
Show Gist options
  • Save tjlane/33fe7b748bf12c2bc9a2472337bccd02 to your computer and use it in GitHub Desktop.
Save tjlane/33fe7b748bf12c2bc9a2472337bccd02 to your computer and use it in GitHub Desktop.
Simple gas-phase like simulation for time stamp correction
Display the source blob
Display the rendered blob
Raw
{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Populating the interactive namespace from numpy and matplotlib\n"
]
}
],
"source": [
"%pylab inline\n",
"from scipy import optimize"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 2 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# create some synthetic data, just a FID-style trace\n",
"# this will be our ground truth\n",
"\n",
"nt = 256 # time delays\n",
"nq = 101 # q-points\n",
"\n",
"tau = 30.0\n",
"omega = 0.1\n",
"width = 500.0\n",
"\n",
"t0 = 20\n",
"\n",
"data = np.zeros((nt, nq))\n",
"\n",
"t = np.arange(nt - t0)\n",
"x = np.sin( t * omega ) * np.exp(- t / tau)\n",
"\n",
"q = np.arange(-nq/2, nq/2)\n",
"y = np.exp( - (q ** 2) / width )\n",
"\n",
"data[t0:,:] = np.outer(x,y)\n",
"timestamp_truth = np.arange(nt)\n",
"\n",
"figure()\n",
"subplot(121)\n",
"plot(x)\n",
"subplot(122)\n",
"plot(y)\n",
"show()\n",
"\n",
"figure()\n",
"imshow(data.T, aspect=5.0)\n",
"show()"
]
},
{
"cell_type": "code",
"execution_count": 34,
"metadata": {},
"outputs": [],
"source": [
"# now let's sample from the ground truth with timing error\n",
"\n",
"n_data_points = 5000\n",
"timing_error = 10.0 # Gaussian sigma\n",
"\n",
"sample_index = np.random.choice(np.arange(nt), size=n_data_points)\n",
"true_timestamp = timestamp_truth[sample_index]\n",
"sample_timestamp = true_timestamp + timing_error * np.random.randn(n_data_points)\n",
"sample_data = data[sample_index,:]"
]
},
{
"cell_type": "code",
"execution_count": 35,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"# do the usual averaging with the new timepoints\n",
"\n",
"def ts_histogram(data, timestamps, bins):\n",
"\n",
" nb = len(bins) # number of estimated data points\n",
" bin_assignments = np.digitize(sample_timestamp, bins)\n",
"\n",
" hist = np.zeros((nb, data.shape[1]))\n",
" for i in range(nb):\n",
" hist[i,:] = np.mean(sample_data[bin_assignments == i], axis=0)\n",
" \n",
" return hist\n",
"\n",
"\n",
"bins = np.arange(0, nt, 5)\n",
"estimated_data = ts_histogram(sample_data, sample_timestamp, bins)\n",
"\n",
"figure()\n",
"imshow(estimated_data.T)\n",
"show()"
]
},
{
"cell_type": "code",
"execution_count": 36,
"metadata": {},
"outputs": [],
"source": [
"# now we can try to implement the correction algorithm\n",
"\n",
"def timesort(measurements, timestamps, sigma, epsilon, k=0.1):\n",
" \n",
" obj_vals = []\n",
" \n",
" n = measurements.shape[0]\n",
" assert n == len(timestamps)\n",
" \n",
" # NOTE: this can be faster, just doing a simple first implementation\n",
" \n",
" # some shorthands\n",
" t0 = timestamps\n",
" \n",
" # distance matrix\n",
" # currently double-loop, can be much faster\n",
" X = np.zeros((n, n))\n",
" for i in range(n):\n",
" for j in range(i+1,n): # diagonals are zero\n",
" d = np.sqrt( np.sum( np.square( measurements[i,:] - measurements[j,:] ) ) )\n",
" #d = np.sum( np.square( measurements[i,:] - measurements[j,:] ) )\n",
" X[i,j] = d\n",
" X[j,i] = d\n",
"\n",
" # EXPONENTIAL FORM\n",
" def obj(t):\n",
" # note, this is the negative of the likelihood\n",
" term1 = (0.5 / sigma) * np.sum( np.square(t - t0) )\n",
" dt = np.abs(np.subtract.outer(t, t))\n",
" term2 = epsilon * np.sum(X * np.exp(- k * dt))\n",
" scalar = term1 + term2\n",
" obj_vals.append(scalar)\n",
" return scalar\n",
" \n",
" def jac(t):\n",
" # also the negative of the latex note\n",
" term1 = (1.0 / sigma) * (t - t0)\n",
" dt = np.subtract.outer(t, t)\n",
" term2 = epsilon * np.sum( -1 * X * np.sign(dt) * k * np.exp(- k * np.abs(dt)), axis=1)\n",
" vector = term1 + term2\n",
" return vector\n",
" \n",
" res = optimize.minimize(obj, t0, jac=jac, method='BFGS')\n",
" \n",
" return res['x'], obj_vals"
]
},
{
"cell_type": "code",
"execution_count": 37,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"epsilon = 0.0, rmse = 0.141952\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 864x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"epsilon = 0.1, rmse = 0.135103\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 864x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"epsilon = 0.2, rmse = 0.144222\n"
]
},
{
"data": {
"image/png": "iVBORw0KGgoAAAANSUhEUgAAAqEAAAD8CAYAAABHLX1eAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDMuMC4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvOIA7rQAAIABJREFUeJzsnXecFOX9x9/f3b3CncBRLRwKKqKItKBBUYyiosaIsSRRY49Go/kl0ZhYkmhiT4xGE6MxNkyMRo2FWFBEiS0i2FCKQgQFRHqHq/v8/piZ3dnZ2b57e7v7fb9ew+4888wzz94ds9/5PN8ixhgURVEURVEUpSMJFHsCiqIoiqIoSuWhRqiiKIqiKIrS4agRqiiKoiiKonQ4aoQqiqIoiqIoHY4aoYqiKIqiKEqHo0aooiiKoiiK0uGoEaoonQgR6S8ir4jIXBGZIyI/stt7ishUEVlgv/aw20VEbheRhSIyW0RGucY6w+6/QETOcLV/RUQ+tM+5XUQk2TUURVEUpRCoEaoonYs24BJjzBBgDHChiAwBLgOmGWMGAdPsfYCjgEH2dh5wJ1gGJXAV8FVgP+Aql1F5J3Cu67wj7fZE11AURckJETlSRD62H3713qIAaoQqSqfCGLPcGPOu/X4TMA/oB0wEJtndJgHH2e8nAg8ai7eABhHZEZgATDXGrDXGrAOmAkfax7oZY94yVqWKBz1j+V1DURQla0QkCNyB9dA8BDjZfrhWKpxQsSfgpnfv3mbAgAHFnoaidAqam5sBwsBpwPbGmOX2oS+B7e33/YAlrtOW2m3J2pf6tJPkGgnR/7OKEuWdd95ZbYzpU+x5dEL2AxYaYz4FEJFHsB565/p1rqquN7V16g1UqmzesCzt/wedyggdMGAAs2bNKvY0FKXobN68mYMPPhhgkTFmo+22CYAxxohIQevtJruGiJyHtfTPzjvvrP9nFcVGRD4r9hw6KX4PxV91d3DfV2q6NDDywP9LPqIkP5wUrVZeUF579udp/z/Q5XhF6WS0trZywgkncOqppwKst5tX2Evp2K8r7fZlQH/X6Y12W7L2Rp/2ZNeIwRhztzFmtDFmdJ8+KvooipI77vtKVXV99uOIxGxK50aNUEXpRBhjOOecc9hrr724+OKL3YcmA06E+xnA06720+0o+THABntJ/QXgCBHpYQckHQG8YB/bKCJj7Kj40z1j+V1DURQlFxI9FCsVTqdajleUSueNN97gb3/7G/vssw8jRowAGCIiRwM3Ao+KyDnAZ8C37FOeA44GFgJbgbMAjDFrReQaYKbd7zfGmLX2+x8ADwBdgOftjSTXUBRFyYWZwCARGYhlfH4HOCXjUZIIm6p6liZqhCp5obW1laVLl9LU1FTsqZQktbW1NDY2cuCBB2IFrVuIyFxjzHP27njveXaE+4V+Yxpj7gPu82mfBQz1aV/jdw1FUZRcMMa0ichFWCs0QeA+Y8ycIk9L6QSoEarkhaVLl9K1a1cGDBiA6BNpRhhjWLNmDUuXLmXgwIHFno6iKEresR+mn0vZMd/XdX0fiUkRkeQc1q+wDkN9QpW80NTURK9evdQAzQIRoVevXqoiK4qiKBWFGqFK3lADNHv0Z6coiqJUGmqEKkoH0NTazubmtmJPo0NZt6WFa5+Zy7zlG4s9FUVRKgXxbOlgiM0d6t1XCoYaoYoC3HXXXTz44INx7YsXL2bo0LgYnrT52te+xqxZs/hkxSY+XbU5lymWHO8vWc+k/y7mqNte43uTZhEO611dURRFiaKBSUpKtra00RY2dKutKvZU0sYYgzGGQCC956zzzz+/wDOqPA7Zsy8zrjiM+99YxB9fXsj9by7mnAM18EpRlNyJS8lUCI8m93NzovGddn3GzgpVQpWUfPW6aQy7+sViTyMlixcvZvDgwZx++ukMHTqUv/3tb+y///6MGjWKk046ic2bLSXysssuY8iQIQwbNoyf/vSnAFx99dXcfPPNALzzzjsMHz6c4cOHc8cdd0TGf+CBB7jooosi+8cccwzTp08H4IILLmD06NHsvffeXHXVVXFza29v55c/+QFDhw5ln3324dZbby3Uj6FT0bO+mosP34Pxe/blt1PmV5warCiKoiRGlVAlJZsy9GX89b/nMPeL/PoBDtmpG1d9Y++U/RYsWMCkSZPYfffdOf7443nppZeor6/npptu4pZbbuHCCy/kySefZP78+YgI69evjxvjrLPO4k9/+hPjxo3j0ksvTWt+1113HT179qS9vZ3x48cze/Zshg0bFjn+8ZwPWbliOR999BGA73XLFRHhhuP3Yf8bX+bJ95ZxyRGDiz0lRVFKiQxUTuOR1iTsOmYPlDJVUzaoIpoVqoQqZcUuu+zCmDFjeOutt5g7dy5jx45lxIgRTJo0ic8++4zu3btTW1vLOeecwxNPPEFdXV3M+evXr2f9+vWMGzcOgNNOOy2t6z766KOMGjWKkSNHMmfOHObOnRtzvHHnASz9bDE//OEPmTJlCt26dcvPBy4R+narZUCvOj5ZsanYU1EURVE6CaqEKnknHcWyUNTX1wOWT+jhhx/Oww8/HNfn7bffZtq0afx10j+45Q+38/qr09MaOxQKEQ5HH6udvJ6LFi3i5ptvZubMmfTo0YMzzzwzLudnt4YGHnvxNZZ9NIO77rqLRx99lPvuiytmVNYM3qEr85arEaooSv6JKKCZKJK5qJaaVS8vqBKqlCVjxozhjTfeYOHChQBs2bKFTz75hM2bN7NhwwaOPvpofnrVdXz04eyY8xoaGmhoaOD1118H4KGHHoocGzBgAO+//z7hcJglS5bw9ttvA7Bx40bq6+vp3r07K1as4Pnnn8fLurVrCIfDnHDCCVx77bW8++67hfronZZBfbuyeM0Wmlrbiz0VRVEUpROgSqjiy+drtjL+luk8/6NxxZ5KVvTp04cHHniAk08+mebmZgCuvfZaunbtysSJE2lqamJbSxs//dV1cefef//9nH322YgIRxxxRKR97NixDBw4kCFDhrDXXnsxatQoAIYPH87IkSPZc8896d+/P2PHjo0bc+WXX/CrSy6iJmg9Pt9www2F+NidmsE7dMUYWLhyM0P7dS/2dBRFKQfE8+ppd/uISkc8/7rnof6hKVEjVPHl37O/oLXd8K93lxZ7KmkzYMCASOAPwKGHHsrMmTPj+jkK5uyl0eCgq6++OvL+K1/5Ch988EFk/7e//S1gBdi4lVE3DzzwgG+7Ez1fvXQ9/3z+PwxrbEjrs5Qje2zfFYBPVmxSI1RRFEVRI1RRlI5hQK86qoMBPtbgJEVRUiHEKYkxuUElyTH3MO5I+AR+nJJAsTTq91lw8uYTKiJBEXlPRJ6x9weKyAwRWSgi/xSR6nxc5/F3lnLv64vyMVRJMHvpen47ZX6xp1FxbNzWyuyl62lpC6furKRFKBhg1z71LFihuUIVRVGU/AYm/QiY59q/CbjVGLM7sA44Jx8X+eljH3DNM3NTdywTjv3TG/x5+v+yPr9dSyVmxdotLQBs0yCavDJ4h658/KUqoYqiKEqejFARaQS+Dtxj7wtwKPC43WUScFw+rqWkz5PvLWW3K57j8zVbiz0VRQEsv9Bl67extSWzAgiKoih+mIAdfCTW5t2P2ZROR76U0D8APwOctctewHpjjPNNsxTo53eiiJwnIrNEZNaqVavyNJ3yw2RR4eGZD5YDZJwgPBw23DL1k4yvpyip6FlveeVs2NZa5JkoiqIoxSZnI1REjgFWGmPeyeZ8Y8zdxpjRxpjRffr0yXU6Sh6YsWitLuMrBaGuOgjA1hZ1c1AUJQVJFMw4BdTevPtGJLKlM27M5U10w9mUvJIPJXQscKyILAYewVqGvw1oEBEn+r4RWJaHa5Usk95czIDLnqW1PbtAl0KUuk1EuCMvVkDOPPNMHn/88dQdlQ6jvtq6JWxtViNUURSl0snZCDXGXG6MaTTGDAC+A7xsjDkVeAU40e52BvB0rtcqVZ77cDlXTZ4D6JdvvmhtD7N8w7as3BSU4lFXYymhW9QnVFGUTEnm5+lVQH18QyNtzikRldP4b8nmkMl8lYQUsmznz4GLRWQhlo/ovQW8Vs60tYd57/N1BRn7Bw/lXqKxI02tUrDrlqzdyqpNzWxxLes++OCDDBs2jOHDh3PaaacB8Oqrr3LAAQew6667RlTRzZs3M378eL591MGccNgBPP209Xy0ePFi9tprL84991yOOHA03z/leDZs2owxhpkzZzJs2DBGjBjBpZdeytChQwFob2/n0ksvZd9992XYsGH85S9/6eCfRGlR5yihaoQqiqJUPHlNVm+MmQ5Mt99/CuyXz/ELye+nfsKd0//HMz88sKDVXEwlOJU8fxl8+WF+x9xhHzjqxsiu96c4Z84crr32Wt5880169+7N2rVrufjii1m+fDmvv/468+fP59hjj+XEE0+ktraWJ598ksUbw6xbu4Zzjp/AscceC8CCBQt4+OGHufKGP/D9s77L3x95lHPPOpOzzjqLv/71r+y///5cdtllkevee++9dO/enZkzZ9Lc3MzYsWM54ogjGDhwYH4/f5lQb/uEbtEVAUVR8oDj62kC9qutPDoJ6I0rE32CfPZ5ub6UgnrTCdGKSTZzv9gIwKrNzXkdd9HqLXkZx1p2Vl0/ES+//DInnXQSvXv3BqBnz54AHHfccQQCAYYMGcKKFSsA62d5xRVX8OK0VwgEAixbtixybODAgYwYMYLFq7ew1z7D+WLJEpavWs2mTZvYf//9ATjllFN45plnAHjxxReZPXt2RGXdsGEDCxYsUCM0AXU1qoQqiqIoFmqE5omVm5pobTf0a+gS0/6/laVXHSZntdalWKZ1PWNoCxuqgvn3DqmpqYm5DsBDDz3EqlWrePi56VRVVXHsgSNoamqK6x8MBGlub0o59z/+8Y9MmDAh73MvR1QJVRQlU/xKckbaxNm3X52vEftrTNKIBfaW7YyU64wp+ZlcBFJFNDsK6RNaEWxsamVzcxv7XTeNsTe+XLDrZPNnXSr/Fb7c2MS85RuzzhwAcOihh/LYY4+xZs0aANauXZuw74YNG+jbty9VVVW8/eZrfPbZZ0nH7t69ga5duzJjxgwAHnnkkcixCRMmcOedd9LaauW9/OSTT9iyJT/qdzni+IRqJSpFURRFldAcGXb1iwQyWCUvhYekVHN87/N1dK2tYve+2+XlepuarKVZSw3Nboy9996bK6+8koMPPphgMMjIkSMT9j311FP5xje+wZTDDmDIsJHsueeeKce/9957OffccwkEAhx88MF07275DX/ve99j8eLFjBo1CmMMffr04amnnsruQ1QA1aEAVUFhS7MuxyuKkhnuyPZECqhXCTWuL+iIwplIorHzY4vHv9R3LoVwMK1A1AjNA9687s/M/oKL/vEeH/16Qt4coTM1Xl+Zv5KX56/Mz8U9fPPPbwKw+Mav+x7/fM1WtqsNRarjdBRnnHEGZ5xxRsLjmzdbrhG9e/fmv//9L7OXrgdgWGNDpM9HH30UHe/8H0be77333syePRuAG2+8kdGjRwMQCAS4/vrruf766/P3QcqcuuqQJqtXFEVR1Ah1+M8n+SsZ+sdpCwFYuq54NduveWZu0a69flsL67e1dLgRmg5Nre2EAkIoQ//TZ599lhtuuIG2tjZ22WUXHnjggcJMsAKoqw6qEqooiqKoEVoICpGGqSJSO3UAn6zYRCgQYMhO3TI679vf/jbf/va3CzSryqKuOqhKqKIomeNaWUy0DB9ZfreXD2OW1L0rk84So3c507MsD3mOsfAOVsEr+xqYVEAEKUheMoe1W1poaYsN5vnrq58ya3HioJxMSXf6LW1hVm9OHkneWWgLhztdpaXONp9CUl8T0opJiqIoSnkYoU2dLNLWbU/ky7bwG2fUNVO56B+x1Ziue24eJ9713/xclPSf/t5esonPlq3oeGOqDGw3Ywxr1qyhtra22FPpEOqqg1q+VlGU3IiU4xQQwQSdDUwQwkEhHJRIqU4TiJb0TDikiU/XlPKYpzSnEYlsaWMoi++ybCj55fgX5nzJ9//2TsErHeWLfP+dvTh3Rc5jbGtp5/cvfswlRwymS3UwZo5h7zJFAv44Yx0/BOrCW1mxbhsA8zZ1SX6SzYqNVo5V1tckzRXa2h5ma0s73btUsWpTM81tYcJrq6nJIKTemVvVpi5J57lmczPbWi2VeWNVkK0rc/NvTfUzqa2tpbGxMadrlAr11SG+3FgaqrmiKIpSOEreCJ3+sRVQ9MHS9Z3SCC1aFocMrnvPa59yz+uLaKir4qJDB8Uca0kzd+fG5jDXvbqGxUeP4ajLngUSR897+fGtr/Lxik1M+fFB7LlDYl/N0de+xOrNzbx95Xiu+sd7vL1oLY+cN4YRu/ZK6zpAZG6fXn80R13xXMJ5fm/SLF6aZxn4R+69A3edNjztayS7bro/k3KmribENvUJVRQlCUYkmvhdom2R404aJY9PaNjWJCJlO33SOkV2TewrsZfDuEWYVLkYIycl6VOhamcyymI5vrNS1DRiGfyxt9r/0drSVD0LReqV/NL4H/zjR97jpLveLPY0Oi311UH1CVUURVFKXwntjIZJ0gehLH0mC+lq6ZQWda7hnqN0qrC9/M0l1Y8zlweIp97/IvuTK4Au6hOqKGWHiPQHHgS2x7rF3m2MuU1EegL/BAYAi4FvGWPWZXeR6NtIdLz96iigxvHO8k1Wn+DOH1FE7Yh650LJvgc80fnplAdV4ikbJXTy+190ughjy1+5SEZcmpedt3wjz364vLBzSZO0Db8O+DVnUDI4r5x99tn07duXoUOHuq4vI0TkLRF5X0Rmich+druIyO0islBEZovIKNc5Z4jIAns7w9X+FRH50D7ndhHr04lITxGZavefKiI9CvUZ66ut6PjO9v9VUZScaAMuMcYMAcYAF4rIEOAyYJoxZhAwzd5XFKCMjNAZi9by2oLVxZ5GwShUntAv1m9zXaNzUwlV0s4880ymTJnibf4t8GtjzAjgV/Y+wFHAIHs7D7gTLIMSuAr4KrAfcJXLqLwTONd13pF2e4d9UdTVBAkbaG5T6UBRygVjzHJjzLv2+03APKAfMBGYZHebBByX9TXEtQU8mxMVHxJrC1rqqHFvAbE2J3o9bCBsEGNtTpS6s+9ExCcSUGPmFvD4n+Yb8WxlQtkYoWDVIN+wrZWtafqbtbaH46oavf/5+pTnfbBkPeu2tGQ1R4f3Pl/Hms3NOY3REZSr4ddZVbhx48bRs2dPb7MBnIit7oCz3j8ReNBYvAU0iMiOwARgqjFmrb3sNRU40j7WzRjzlrF+AA8S/ULI2xdFKuqrLS8grZqkKOWJiAwARgIzgO2NMc5y25dYy/V+55xnr/TMam3Z0iHzVIpPWRmhAMN//SIH3fRKWn2vnjyHA296JcagvG3aAhat3sKkNxcnPG/iHW9wYo6BJ9/885tMvOONyH44bHj+w+UJjaNi2Uy52qCt7WFWJEjHs2FbKys3RY/l6zOu29LC39/6LD+DUbyfvYsfA78TkSXAzcDldns/YImr31K7LVn7Up92SPOLIh/UVVtOW1o1SVHKDxHZDvgX8GNjzEb3Mfvh1/eOaoy52xgz2hgzuqq63mpzcm46KqNXDZSouukooCaEvQnGpYiGg8SpiBGV06OA4mqLbgaMSTynyKCuuWWaL9SPMlM+vZSdEQqwJk2V0qkXv9mjyJxw55tcNXkOrUnSE/1vVeIntXRVtqXrokvhk/67mAseepd/vbssrXPzRSYG1uoslNufPz6br14/jea2eINjzPXT2O+6aRmPaYBl9s/uJZ88qZc89gG/eOoj5nyxIekYJcQFwE+MMf2BnwD3FvJiyb4oIFaxWLVqVcbj19dYSqgaoYpSXohIFZYB+pAx5gm7eYW9CoP9urJY81M6H2VphDo0t7UnNSQTGWAbt7Xm5fp+D0CJvtm/3GApgqs2+Rt6HWI0RSID/a87+tqXMh5yypwvAaxk9DbPzl7OP2d+zjZPpatUD4zuw8tsX9Z/vbs0rp/zEOItaZoOW1vauGnK/LTzo3YQZwDODf0xLD9PgGVAf1e/RrstWXujTztk8EXhViz69OmT8YdxlFBN06Qo5YMd5HgvMM8Yc4vr0GSsexj269PpDRjflJ5PaOxGILol8tuMKKBhIOz2CXX5i3Y2ykQhLWsjdPAvpnDYLf9J2W9DnoxOh5g/1wL8kWzY2srGpvzOudC4fwwX/uNdfv6vD7MeK6YsaqoOGXL7tIXcOf1/vPpJ5gpfAfkCONh+fyiwwH4/GTjdjpIfA2ywl9RfAI4QkR52QNIRwAv2sY0iMsb+wjid6BdCdl8UWVBn+4RqmiZFKSvGAqcBh9qZPN4XkaOBG4HDRWQBcJi9ryhAGeQJTWVvfLZmK5ub21i3pYX+Pet8+xzzx9ezGjsf/OSf7zPniw0cMrhv0n7uJf7hv3kx5tjKTU307RpbdzzGRSWJIZzpR8w0oCeT7m3thi83NLFD99xqqDuXlCQfPNG8/NTTjgzOOvnkk5k+fTqrV692ynj2Br4L3CYiIaAJKxIe4DngaGAhsBU4C8AYs1ZErgFm2v1+Y4xZa7//AfAA0AV43t7A+mJ4VETOAT4DvlWoz6hKqKKUH8aY10ksu4zvyLkopUPJG6HpcNJd/2Xe8o1pl0zsSKPjyfes1VDHCM3m2vtdNy0v5SBN3Jt4si2q5HyuZH6aV0+ew6zP1vHeLw+nR316tdrTyCVcUJau28rxf36Tf11wQMKHnEx4+OGHY/ZFZLV9c/+Kt6/tu3mh3zjGmPuA+3zaZwFDfdrX0EFfFFGfUDVCFUVJA+dm7le2005OH66KfRV7oSXssnLiluKd7zNbe5BwBsnqnSHsOUmyL84EJT0jpUXLYFk9W8p6Od5h3vKNqTsVhPhU9dmqq7mIsudMmpX1ubmqwd78po/NivfhdJj1mVVEY7/r/X1PnfvP1ZPnJL9mgRTsU+95i3te+zSm7Yl3l7FyUzOPzlqS4CzFS72jhOpyvKIoSkVTEUZoPvALcnrCJygGyMpizNVuenPhappaM/tSN8aw0C7Zmck5yXjBDkTy9s2kcpQ7iMmNM8YU1zWSkdwNIUEqrCS/iTcWruHaZ+fF9u+E/uqdnTpVQhVFyYKkgUl2aqZIUFKVtZmgRDc7nZNDJPAobG1OGiZnPzY4yZO0PkFgkEkSABW9bnoJ8CuBnI1QEekvIq+IyFwRmSMiP7LbO6wMYDbMWrw2EmGdDoN/MYWjbnstpi1VhSY/I6hQS/2n3DMjpULo5dFZS7hpyvy4drchlul8v/+3dyLv31uyPs5Iy/fn9/t/nO/qUskMTedazsfyexB4vpOURe0sdKnSPKGKoihKfpTQotaLzVaJOvGu/6Ye22PMZKoa+nHj8/P5+MtNGZ+Xzudc4JpfsqAch4+Wxbop5FvVcxtkEnGxiZ/Xphwi/bO1aRN91nQU23tfX8RxdqGBP7xkB6on+Xlf8NC7Gc+vnAkGhC5VQTVCFUXxxVE6o/t20ndXInhvWU5HATVV9uYoo65k9XEJ5j2J6L2KqJOyiWQZ+/KQmD4nZbTES3nmbIR2RL3YjibRcnA+ePydpUz4w6tx7c7SdS5/R5ubosubfsvmxpi0luzdhljuPqGp+WKDf0WljuIfMz6PqdyUimuemcv7S2LLu/r93n7yz/dznFn5Ulcd1LKdiqIoFU5efUKzqRebLfe+vsi+ZmbnLVy5mUFXPpf1ddNRMbOx25pTJVZPY9CPVySf253/+R97/nIKa+1k7t6fnaP8uhXgnJa2Xac+9+FyBlz2bG6qZ4a/a0FYs7mZVz9ZxebmtoTXvuLJDyNuBItWx6vdU+Z8ycvz4yszpcLJfKDEU1ejSqiiKCnwKHwx/pb2Fg6Ktdk+oO3VJmaLlvGM99X0+oRKu7V5FVJLFbU3j/Lp+Kj6qpGJyoQqEfKWoslbL9a9HGyMMSL+P3oROQ877+HOO++c9vWueWYu5xw4MGOl7rF3luSkdF7zzNy0+2ZiM+U7YX6bTy6lp9/7ArDyivZMMwWSl4WrMnRJsKdx13/+B8DiNYnLneZKS1uYf727lLDLnj/1nhnMT+PBwTHMX/nYP0n92Q8kzzDw0IzP+Mnhe8S1H/y7V1JeuxKpqwqpEqooilLh5MUITVYv1hizPFkZQGPM3cDdAKNHj87bM8LaNOvHZ0qyMqAOzlK4IT3fzHRwFMl0I+A/W7M162vd9/rihMeO/MNrCY/FkWcflVTD3fHKQm6btiCyLxLrJ1tIVm9u4YE3FjF4h24x7bn8HsqZUFBozzbprKIolYV983fn0wzb+UGjeUKN/WrtB2zFM2meUOfr3LkXOW5xzvd8IJhyTnE5QHP53vNG31cA+YiOz2+92Dxx1gMzU3fKglSq2sWPvs9i2/D4ph28kg4LViQ3lt761Cp4s+cvp6Q9ppd0l9ZfXxiN+k+mNF/zzFwGXPYsHy1LnIDee81FqzNXQsNhQzhsfH1H3aMvXRef7SBRSilvcz4Moqv/PZeT//pWzuNUAqFgwFetVxRFUSqHfCihTr3YD0XEicS4gg4sA+jgXt77wBM4EiGD770NW1vp0zWAx7Ug6TlPvBv1A9zYlP5y41w7ob6IZXSJxKqo5//9nbxURYLMcnYmw/HLTVT2FBNv7K3enJ5CHQnUEmHMDdOSVmp6ae4KdulVx7988ram++teum4bsxavTd1RyQuhgCqhiqIkwTcHZxoVk6rt+4r99RsOuc7xCpvO94xzL2qPDRCOyXWd4nblqLRpfbsWOndhCZGzEdqZ6sWmm8Q8Xfa7fhpXHr0Xpx+wS6Qt06/NV+b7eiEkZdcrnmP8nn2598x9Y9oXrsw8tZObuL/7FMfzSaaG78DLn+Nrg/vwwFn7sXJTc8J+67e28r0HE/trZvKZ0knbpeSHYEBoC6d2bVEURVHKl5KvHe9e7g2ksHNWbGxixqLM1K7rnpvHrM9c57iMmnSUnAfeXJzR9Rym+Rivh90Sn9op33iV3m05RDCfcs+MyPtUkft+TP94FauSGKCpSOa/m4+E9s1tmf9s2trDrN3aQt/i/0frAAAgAElEQVSutTlfv5QJBSQt/2pFURSlfCmzsp3JrdDxv/9PXH7HdHhhjn96nskffJHxWKlw+0w+lsd65M1t7Xy+NhokEw4b5i2PNwy9yuHmIkcw51La8Zapn+RxJvFkY6D/8umP2O+6aRVfstJSQnU5XlGUxERSMnnTIEl8kvpwlSFcZTDVYUx1mHCNIVzjn6LJ2SIpk9oNtBskHEbC4fjynT73qpgSou55RVI3Ve4SeyaUmRGanHwYVJsKbJT9y+VTeunjs/M27uVPfBiTi/Tu1z7l7TR8IMNFLo7+YZKgp1QkU1GbWnNX4bL50Tz8tvVg8cmKzcz4dE3OcyhV1CdUURRFKfnleDf64JEYd8DUS/NW8I8Zn8f1cfLzxrQV2U646B/vZX1usvRYo66ZmvW4DjNzCGRyyn7mK9is1AgGArQVsDKZoihlhJOiyV3K05OiyTgBSdWWwGDarJPCVQHXOd4KLU5gki1KOIFJdhSSCbruUU4WJ690Z3/POC5e7is4fSWV5uF80bq/s/KR8qkEKGkjdMBlz8bsl8PvqiM+w+9e+DjhMa9PaEsJ++0V+mf50RcbC3yF8kWVUEVRFKWkjNBcSj6WCinLdxYQY2CkRyF8OYvo/krhdldifCUzgkGNjlcUJRGWT6U4hV/SUkKt+0mgpt1utzqbZMnqnedgjyJq7FuThJN4LHoS6EuFKJf5pqR8Qr/1l+SJwNdtLUyVpEpiUwa5TTs76p7ReQlpYJKiKErFU1JK6LzlyZc/V2zMPp2PUn5GW7l9nnIiGBD1CVUUJSNiynaGYl/FVkKraywhpc0uuRkORe8zEZ/QiHrplOl0ktVbYzjxBLHJ6mPvV5G5RF699Tv9PoB9PU8XU8HfVSWlhKYimCpRqJKUcvPR+2iZ+mx2VtQnVFEURSkpJTQVaoPmxt2vflrsKSgVgtaOVxQlKU7uTYiqjG6fUPu9sZXOYLXlC1pbbcWOtAQsVXNbVbQwSNhbttO5B0Wi4+3cz7YxIclWaxy11KOIulXNfJok3ryjXmW2VCkrJfR/q7ak7qQoStGxlFANTFIURalkykoJVRSlNNCKSYqipEuy6HjHJ7Sq2vIFra+xApQDAevA1uqw65xY3S1SCcnxBbVfja2ixiTKThT97vUN9TumJKSslFBFUUoD9QlVFEVR1AhVFKXDCQbUJ1RRFKXS0eV4RVE6HFVCFUVJiFhL8OLah+TJ6p2ApO2qrVSNATsP0lp3iiYnmMkJ8jGewCTva3vqFE3xqZpSfTgX9j1QAk7pz3i8AUnlhiqhiqJ0OEHbCPWWiVUURVEqB1VCFUXpcEL2k3972BAKlveTvqIo2eFVAY0rD6OThN5J0VRnK6ENNduAqBIqVe7AJM8FnPKc7Y7yaQco+QUmeclC+Ywkqc/DKpDzs0krVVMnLimqSqiiKB1O0DY81S9UURSlclElVFGUDsdRQtUIVRTFF5dqF+d3SbxPaH2VlZqpe9W2mGECSZRQ8fqEtllpnnBSOblzGTviqCdJfUSRtGVOEzPvNEp5VjiqhCqK0uEEA9atp13rxyuKolQsqoQqitLhRJVQrZqkKEoK/KLjPWU7u1Y3AdCrKrZyYjDUHndORFENx/qCGk/S+rR8N33KdSrpo0qooigdjhOMpGmaFEVRKhdVQhVF6XDUJ1RRyhMRCQKzgGXGmGNEZCDwCNALeAc4zRjTkmocIyAeldE3T6ijhFZZ+UF72Epou62xVVVFldDWoOd+4yzEtNt9wu2efddKjTcK3TO3iPtnTES/4yfq7xvqRMsb5z5YgZlCVAlVFKXDifiEqhGqKOXGj4B5rv2bgFuNMbsD64BzijIrpVOiRqiiKB2OKqGKUn6ISCPwdeAee1+AQ4HH7S6TgOOyHd8EXFvQYIIG7K1rqImuoSZ6BrdYW8jaqoLtkc0EYyPkxRjEGEw4jAmHLQW0vd1SPb1b5CQiFZ2MuPclvrqRc9z7czKunKE+7X7HypWCG6EicqSIfCwiC0XkskJfT1GUzk8wkqxeA5MUpYz4A/AzogvdvYD1xhg79xFLgX7FmJjSOSmoEWr7htwBHAUMAU4WkSGFvKailDJnn302ffv2ZejQoTHtIvJDEZkvInNE5Leu9svtB7yPRWSCq9334U9EBorIDLv9nyJSbbfX2PsL7eMDCvk5VQlVlPJCRI4BVhpj3sny/PNEZJaIzGpt3uw5GL9FVE1bCe0WaqJbqImG4FYaglvpbm9VofbIZlwKphGiKqetgJr2cMwmYRPdEiiUkbE8+77R8mGTl2pJ5UShldD9gIXGmE9tR+RHgIkFvqailCxnnnkmU6ZMiWkTkUOw/t8MN8bsDdxstw8BvgPsDRwJ/FlEgike/hL5Z50DrLPbb7X7FQxHCW3TPKGKUi6MBY4VkcVY3/WHArcBDSLiBEE3Asv8TjbG3G2MGW2MGV1Vs11HzFfpBBTaCO0HLHHtx0nx7qefVatWFXg6itK5GTduHD179vQ2XwDcaIxpBjDGrLTbJwKPGGOajTGLgIVYD36+D38p/LMm2vvYx8fb/QuCpmhSlPLCGHO5MabRGDMA6+H4ZWPMqcArwIl2tzOAp4s0RaUTUvTAJPfTT58+fZL2rQ4VfbqKUgz2AA6yl8n/IyL72u2JHvIStSfzz4qcYx/fYPePIx8Pjk50vCarV5Sy5+fAxSKyEOuecm9aZ4m4lratoB93YJKzDC/BMBIM0zXYRNdgEw3BLTQEt0T2a0NtkY0AsVaPN/jICUwKO1s4usXNj9igowRBSEXFEJsVyrvfCSh0ntBlQH/XfkIpPh0Cne0XrCgdQwjoCYwB9gUeFZFdizUZY8zdwN0Ao0ePzuqWFtLleEUpW4wx04Hp9vtPsVZnFCWOQhuhM4FBdrLaZVgS/SnZDtbUqqqJUpEsBZ4wxhjgbREJA71J/pDn174G2z/LVjvd/Z2xltr+W93t/gUhGh2vRqiiKGniDgAKWPeOgJ2AfrugVbazIbANgKZgFQBVQVfZzrhk9fa+Nzm90+5OzeRNVu+ZUyQQKROxzBmyggW2gq5v2190FwEvYCWvfdQYM6eQ11SUMuQp4BAAEdkDqAZWA5OB79iR7QOBQcDbuB7+7Oj37wCTbSM2kX/WZHsf+/jLdv+CoNHxiqIoSsHLdhpjngOeK/R1FKUcOPnkk5k+fTqrV6+msbERLMXzPuA+EfkIaAHOsA3EOSLyKDAXaAMuNMa0A4iI8/AXBO5zPfz9HHhERK4F3iPqn3Uv8Dfbb2stluFaMEJBrZikKEpijLgEQq/aCBEJLWArovUBq2xn10ArAJvCVmXQmmBb5JS4tEnOc7Z9HzLtlhIqxqOI+s5PYsb0EzN90zRBnF9mpHxnwqv5XCCXW2cnUmC1dryidCIefvjhmH0RWW1HuH/Xr78x5jrgOp9234e/RP5Zxpgm4KTsZp05qoQqiqIoaoQqitLhaMUkRVEyJiYa3XqAlYB1D6mzldA6u71rwPIRrQ5EfUITOSBGPI9sBTSqiLp9Qu2XROphJ1AVSxHNeaQoSoejSqiiKIqiSqiiKB2ORscripIp6fiE1ot1oFYsBTTkUkKdiPqIahnxCbUVUPt+JOms0CSIhk+olCq+qBKqKEqHE3KS1WueUEVRlIpFlVBFUTqcoJbtVBQlFX5R8ZFjtmppH6vCUjxr7DL1tWJFx4cCLlUzYbR6rE9oXHsnxriqK0sJzNeLKqGKonQ46hOqKIqiqBGqKEqHE4wYoRodryiKUqnocryiKB2O1o5XFCUn7FXogL3cXm0HIlVJ0H61jockyXK8JzApuizvaU8DDUjKDlVCFUXpcDQ6XlEURVElVFGUDicSHa9GqKIo6SIJ3gNV0ma/2kqo3R6QArv8qAKaE6qEKorS4YSCWjFJURSl0lElVFGUDicoGh2vKEoChLQVRknQL+h3IF3V0ufh2Jv+SH1A84MqoYqidDiBgBAQ9QlVFEWpZNQIVRSlKIQCAVVCFUVRKhg1QhVFKQrBgKgSqiiKUsGoT6iiFIlPrz+62FMoKqGAaJ5QRVHiMfaWTtcE/dr9DqR7uwnE63PG42MqeuvKC6qElgi7yJccG3ij2NNQ8kggUNme7cGgaHS8oihKBaNGaInwfPXl3F59R7GnoaTgtu+MKPYUSoZQQNQnVFGU9DE+m02rCdlbu7UBrUDYBCJbQeekZIUaoSVCnTQXewppcflRexZ7CkWlS1Ww2FMoGYK6HK8oilLRlJQRukO32mJPoeD0qKtK3alIPHDWvin7nDdu14LOYY/ttyvo+LmiJlX6aHS8oihKZVNSRugVX9+r2FMoOJIo824H8pfTvuLb/rXBfZOeV00rcuPOXNhndiGmBcCwxoaCjZ0vdu1dX+wplARWdLz6hCqKkgX2Mng4HCAcDtBigrSYYHQ53kCrgTYTiGxxS+ci1hYIWJuz7233CVTyIkaDlbKhpIzQarvU3/679irqPHpvV1Owscfu3rtgY6dLQ5fs1NhebITmjZy15Z48z6h0EOCG4/dJ2W94Y/fCT6aToz6hiqIolU1JGaFOza2uteWbWer6bw4t9hRiOPOAAXFtYwJzuSz0j4JcL5nLxUe/nsCFh+ye9di9t6vO+txMGJCGEvrLY4Z0wEw6N6Gg5glVFCUJtnLpqzIaASMYY6VpaiVIK0GaTRvNpo0mE6TJBGkLByJbwiCiiPoZsLa49uKvUCZCjIlspUhORqiI/E5E5ovIbBF5UkQaXMcuF5GFIvKxiEzIfapQah53Jwb/wxGBmWn3/8bwnehaWxyf0B8eGjXu3C4BVx+7d0y/j689kkeqr+X80DMFmccDZyf2O92uJsTAFAbeUYEZnBB4Nd/TAuCA3VIr8NWh9P5LdeJ7WocRVJ9QRVGUiiZXJXQqMNQYMwz4BLgcQESGAN8B9gaOBP4sInkLG641W/lJ6HGCtOdryIy5dte59GBj0j43V/2Fu6tvTXvMbNJG5ss14JIjBkfexxhIn07nhtBfI7s1ofxGfx+2V6yf6Z47dMtpvDurb+P31Xf5Hsv1QdFPhe3NBrZnLWBlBjh4jz7ItnUsrj2F8YF3fMfZd0AP9unX+X1bC01IKyYpipIB4lZFw9YWDgvhsLAlXGNtJswWE3YpodFNwoKEJaqIenw/JSBIQNLzA02QKkoSKbeKLzkZocaYF40xbfbuW0Cj/X4i8IgxptkYswhYCOyXy7XcfHPNvfwo9ATHBt5M2fffFx0Ysz+ob+7R1TualXz3i2u5o+r2SNuufXIPRnFsv+/s299zJNlfc/K/9BBtSY8nmsfvThzG7SePhAcncnLolYzH8DJ4+66+7ZcfnUGw2eqFcHV39pX5Wc1h+PYhBsjytPt/d8zOMfvDPH6cpwdfYFbtBcyovQiA7x+8GyJCaPU8AM4LPes77t2njU5bMS1nguoTqiiKUtHk85vwbOB5+30/YInr2FK7LS9UmSYAqqWNuSdtYHHtKXRlq29f4zHSRg/oQb+GLjldv5oWAHaQtb7HhTDd2ZzxuEP7WUbOjScMi2l/uvqXCc9pqPP3c6ylmetD97Cw9nR2lhWR9nMPGpjWXE4a3Z9jh++UVt90eOrCsbz3y8Pj2o2Brw7smd4gi6YDcFwwu8pRf2i7juk1l6Td/9rjogFGi2/8epyrxE9C//I9T1fa0yOk0fGKomRCjPpo+4SGA5hwgK3hGmszwlYjbArXsilcS0s4GNkc9dSLiFhuaLZPqAStLTZaHpAkKqcmrc+KlEaoiLwkIh/5bBNdfa4E2oCHMp2AiJwnIrNEZNaqVauS9o0up0a/5uvetqoINUrycwGe+7+D+PWxQ3nkvDFpz2/S2fECrrGvL66/uN36RBXWH4ee4IPa89K+BsA1E/fmnAP9DcThgU9920MB4fyDd/M9dnPVXzgl9DIAg2RppP3Kr2cXEHOlj2K5XY1/gFgoGP9n1aU6SI96f4PZL/jJn1jz7pOa07g+lDgSf88dYtXXbist/9xursC28w/ejSd+cACPnb9/mnNIjffBx0soqGYqaLJ6RVGUSielEWqMOcwYM9RnexpARM4EjgFONSZiJi4D3GvKjXab3/h3G2NGG2NG9+nTJ81pxxuBEGtcRHtGv/CH7NSN6lCAmgyWQg/eI35OUSM0yi3fGs7oXXoAMCGDYCSH0/YfkHGO0G/t25/jRuzEhYfEG6J7yWeR9wN61dE1gcG4r8znsu4vxrT5TeNcnyT0H/16gm9f78+3Nxvgpash7OfDa9ihe2ZFCJzfe7W0RwxtP7xGqMPsq6NxcpcdtSejdu7BvgPSVGMzoJ4mzg9ORlyP3r23qyla8FlnQ6PjFUVJRIza6ImST+YTuilcxaZwFVtMNVtMNc3tocgWp2JGfEKtLaqA2lsgeix+fk5UemL/z4THbFU18vEsUTc5CXxQs8Jz/WKSa3T8kcDPgGONMe718MnAd0SkRkQGAoOAt3O5FkBVy3ruqfodfVstZW9P+Twijz7/o4M4w0dR8/O961IdH1xzSOC9tAOdaqviDbqutVV8bXC6RnT+CAUDXDphT24+aTi7J/B3NcCrPzuEGafUwKfTY449VvMbzm9+ABZMjbTtlIG7Qjp/xzdU/RVevxUW/SfuWPcu1Yzc2TLevx/8N/w+SdnPDIz0bwZeY3uXcZuNb2wqvA9BXoYGFnNZ1SMcHniHw/banptO2IdZvzgs7/MoVTQ6XlEUpbLJ1Sf0T0BXYKqIvC8idwEYY+YAjwJzgSnAhcaYnEPZd/70EQ4LvsceTVZFnjNDbgVPCPgYKYN91LCutVW8/vNDIvsHBWZzf/XvuDxB7ssXTqzl0rHRaObfnzTcvqLrC7S9laBp5cGqG9gzsMQ7RME58SuN/Ov8A3xrtwuGHvXVbP/ECfDgRJ+zgdmPRt7u2D19I/SWb41I2aeGVuuNiSqCl04YzGs/O4Q+XaPR/ZdXPQyb/AOHJo5w+6emNlwmBmOD1i7YcWHKcxy+NdqOr2tv49Sv7syOmSi1n89AWrfENFXRztkHDuDb++6c4KTKxEpWrz6hilIuiEiDiDxup26cJyL7i0hPEZkqIgvs1x5ZX8ClBDqR7qbd2ja317K5vZb14S7W1l7P+vZ6WtuDkU3aBWl32QmOyhkMWlukQpLd7q2g5CeEeHOZZqJWdiJFsljkGh2/uzGmvzFmhL2d7zp2nTFmN2PMYGPM88nGyQ8mYd3yGVeMZ+aVsQpUY4+6yPvebADgeyH/aQ5+5ngu/PgsLp0wmNP334WdelhG2i6BlVwQnGx1um04F7y2P+OCH2Y88+NHZRezdcTyu2BJVGDuXlfF9xP4iGbMJy9Ca1PKbseN7AcYJgTeJijpP2dceMju9O9Zl7ojMOfXE7jtOyPBxw0iXYY3+i/N+/HbE4ez+JStcE0vrhtXx38vH5/eiVvWwH1H0P3Z82OaVevzR31CFaXsuA2YYozZExgOzAMuA6YZYwYB0+x9RQFKrmJScuprQvxo/KC49u271cYoblmxeQUXHrI7v5k4FN66M9L886pHaJSVsNHX5TUt0lET/fjayr/DvfER515SLRvH8cX78I+TYMrPo23L/HNeguUD+5fqPzDlK4n7ZMsvjxlCvePPKv6+wAVh7lPW68q5CbsYrznctg2AgEcJjevnlPiocDRPqKKUDyLSHRgH3AtgjGkxxqzHStk4ye42CTiuODNUOiNlZIRaX/S5fqWFaGNy9ZWMDXxoRX+3+KR+evvumN1EqXryQR/WZXZCOMyTve9it0B0WVvS1A6rnaj2bfY117qi8r9MrPD2Fitp/3ZrLDeJ2nQCv778CF65IWU3E2OsJf8c5waTVXFyndue2D+0Nxtgw7J4I9EYeOtOGtjkGtGnTzr8ugHuPyq9vmVMUI1QRSknBgKrgPtF5D0RuUdE6oHtjTHOF9KXwPZpjeYK+okEAYWJbLQLtAumPYBpD7CpvZZN7bWRZXhnv6ktFNniUjR5l9ojy/LOFkicuN675N4ZUzR5l/s74fJ/SRmhHfH73UHWMiywiJuq7CpBqz9Jec43eyzO+zzqaOKs4PN0lW2+x7vhUtscY3HDMvhND0ZuzqZspWHmlYfx9hXupef0/lp/4FQSWv6BdVaSAKJIsYB7DoP/3Ajv/R1u3ScmgvygQb2TXi/R6D8MPRXbYBLsPHRCwrFn1V4At/qksVr2Lky5jN9V/cX3vGtC98H9R/se+37oGYLNm+DJ86HJcv3g8/8mnEOlUBXUwCRFKSNCwCjgTmPMSGALnqV3O4OO7396d7rG1ubM82wrpUlJGaG+rJyT5wGjJk6NaYJVruo86z/3PSOwMXkg0s1Vd7ETq2PaQrTx69D99LL9UWN4/2Hm1p7NVVV/43BP6cfjA68ihPlH9XXRxpYtlpHkZzxBTEAQwPs7XMcVofiUrt3rqujbLbN0SQD9GhL7dr72s0MYtUvUD/3pi8ZaEeLhVqcBNnxOrV0AAKyKQk45z35r34LPbIPNNm53lDW+13Irk3vvlKT8pydDQFL++V3LFaG9GYDussW322mhl2CD/9/HiMD/2GnevfDBw/DfP6d/7TJHlVBFKSuWAkuNMTPs/cexjNIVIrIjgP260u9kd7rGqhpPphdvwI8Babc2RxHd2FbLxrZa1rfXsb69jg321toWjGzuFE/iLttpK6BOiiZnMwGJbgnSKHnTMCUt25kg3VMlU/pGaAQDk77BxC7vp+56dXd47mcpu90j18KT3482/GGf2CXqNDkx+Cq/qbo/pu2Db7dyRmgqV1U9GNt5zlPwVDSwpd6jhN5SfRcnBF9jaGBxtPGuA+Gvh5CIPdpi1dyG9XPiS0oa77pCAj6fEd+WRPns37OO7VwpseqqQ1a9e8/S9S9Df4+871IdjAQtHfXeBXD/kdYB201gXPDDmFysD1ZZy/puI7RP1xqPZBo7x51lhZUSyjWPT68e5/8hXr/VNUp2RtOO8++Pb/RZvj/77LPp27cvQ4cOjTsmIpeIiBGR3va+iMjtIrJQRGaLyChX3zPsaNQFInKGq/0rIvKhfc7tYsvWeY1gTRONjleU8sEY8yWwREQG203jsTLkTAace9AZwNNFmJ7SSSkfI9SEYdGr7Dbt+yy+8euA4cehx2HjF/793/4LdTTx69D91Elz3OFGWc1I8VmKz0RFczHYrlq0q3zBYPmc+irLKAp4a4g9dkbMbj8f1a8hw5KgJzU97tt+TMC1JPzR47DpS0tV/ds3rTavcblyHtx3RPxAksWfUSRjl2WIHRGcFXvYz9ab+qvI279URw3DccEP2Us+I+A2EBe+hJio72evjbH15l+t+YmVEsrl6xpYmyCNUx6CiEKtPr+zdyfFNZ155plMmTIlrl1E+gNHAG659SisHLyDgPOAO+2+PYGrgK8C+wFXuYzKO4FzXefZFn7HR7CqEqooZccPgYdEZDYwArgeuBE4XEQWAIfZ+1nh9gmNpFuyt01ttWxqq2Vte721tVlbbIomWz21MSIYESQQQAKBqE9ostRMCVIyOX6rMSRwPkikqjrtKRPXlxHlY4R62E2+4MehJ6zl1AScF3qGM0JTua7qvkhboYKW+wessqIv1/yUF2ouI86zsXkzTLki7rwTgq/lZwJb4o3ZP1X/MbZh1v2wxVX+9PO3ou8XToM/e8qd3v01WDKTuM/izhRwxxj49JWsppwJhwTeizPod9w8n0ZZyTGB/zLyswTlPcOZJbEPRRzUDQ0JlubTxueBZty4cfTs6Vu96VaswhDuv9CJwIPG4i2gwV7umgBMNcasNcasA6YCR9rHuhlj3rJ9sx4kGqna4RGslhKqRqiilAvGmPftJfVhxpjjjDHrjDFrjDHjjTGD7AqMa4s9T6Xz4F/LsRRxrEcThqlXsc3YOUM3+ic/Bxgp8crXRd7glgJzTHAGNG+C3+8FLZtSn0CWAVp3HpDmyC6Dss2VJ3Te5PjuX7xnpXEafXbiIVfNS2t6MZ9p/rNgdknrPIfd+9QT2hA7UM+mz3m95jfpX9n9BOL275z/jLUBQ3ao59avDmfyYw9kND/f66WJiEwElhljPvAEffUD3A7JS+22ZO1Lfdoh2wjWHAgGArRrnlBFUXwQl4ro+FeKS2dwFE1ps+6Jm1qtNIzrWusBWN9q5fNubQ26zvEIJo6mELT7BIKefZdO510Z9Mwtcmv3UbLiFFKnqzNkBfuJlpQSGnCCWXxx/ZLf+APtzkdLUqjp4ODsuLaTQ6lUu+z/WGKWvx8/K/r+nUlpG6BZs/nL1H3+c1Pm4ybJH5oJfew0TwA8cgoj1np8Vh/6VtLzjx/Vj5DnV9OtZUXqCy9+3XrdvArWLY62J0hJVfPlO3xzZGNsdoLCEgCuAH6VqmO+SBbBCrFRrKtWrUrULSWhoCqhiqIolUxJKaGSbOnU86QRCSDxRIazekGeZ5U+ccvfDi9emdE4vaSABuvSman7eEnXJ3SDvUw/798pu3Zt9bgPLHgh+Qkm8k+EnXvVx+p+fkz9FQw9MXFmgYKS1gNNDdAIOCpoI/CuiOwHLAP6u/o22m3LgK952qfb7Y0+/cGOYDXGLE8WwQpWFCtwN8Do0aOztiLVJ1RRlLTwU0Lt9xEltMXK7LLGVkI32Epoe1tUCa1yznduO47SaefIlmDsfloKpVcRVTKipJTQZFHYXgPkByF7+dgxTresgXAY/jQ6tzkkSdreUUQ+WyH4Ml4dTk2a6vC//w8WvpTUT9chrspQOngeOHrUpVklK0G9+oTMfZqvB32yBKRD5k7H24wxfY0xA4wxA7DM6lF2JOpk4HQ7Sn4MsMFeUn8BOEJEetgBSUcAL9jHNorIGDsq/nSikaodHsEaCgitGh2vKIpSsZSUEmqS2czL3o3ZPT001XqzdTW8/Vd47qdw8M99TsyQWffmPka54fNw8LvQXbwZ3ju+798TJ4p307M5w7V8hvgAAB+VSURBVDKoK+fEGaHdu1Sld+49adaGd3j0dI4Ipu7my9zktt3JJ5/M9OnTWb16NY2NjQDJMvc/BxwNLAS2AmcBGGPWisg1gCNr/8YVDPAD4AGgC/C8vYEVsfqoiJwDfAYk93/IA8GAYAyEw4ZABftEKYrigyf3Zlxbe+zrltZqIKqAbrSV0XBrIO6cyCWc7y5HEQ2FYvfdPqEBZy7GfpWYfT9FNJEvqBKlxIzQJDz309TH5j+buI9i8cZtmZ/js4R/UuhVTiKbyk0Wo9b8m8MDg9I/Yc6TcU3ycqqgpCKw+uPo+zlPwEmx+UMffvjhmH0RialyYKuhznsDXOh3GWPMfcB9Pu2zgLgkpMaYNVh5/TqMkG14toUN1WqEKoqiVBwlZYQmXY1PhxUf5WUeioeZCdIf5chgSV6JSiltgrbKoH6hiqL4EVUSbdXRda8I2L6gTqjI1hZr5Wt9s6WEbrWVUZNECY3ELzs+oeFAzL5JZnT4qLOpcKLhxXnozuHel5HK2omf8UvLJ1SpKH5a9Vixp6AUkKqgo4SqX6iiKEolUlJGqLpXKEr5ELTVAFVCFUVRKpOSWo5XFKV8cPuEKoqiRDCelEfJktXbr032cvzmFisryrZW27xpi65FR9I6OYqWNzDJ+xqMnutdmhfj/5pRPRL7HpisTKcz16SuASVMSSmh5fkrUJTKRH1CFUVRKhtVQhVFKQqqhCqKkg7JynYG7MCk1hbLnNnSbAUktdhJ6qUlSYomJ0DICUQKe5LVu9VH5633dpVMAdVbW0pKSglVFKV8iPiEav14RVGUiqS0lFCNTFKUsiGk0fGKoiTC4FIZ7TdhH/9O2+ezvcVSPpuqLN/QtlZrP9AaHTIQl6LJ4xMaDMbsm2CyFE3epPXEvOabck18X2JKaHn+EhSlEgnqcryiKEpFU1pKqIYmKUrZEPEJ1eV4RVHSwK0yOr6gxhYvje372WKX3jRt1n7IHR3vKKFOpU3b59NRPMV4FFBJHR1vvGpt0g9gX08FtQglpoTqsp2ilAsaHa8oilLZlJgSqihKuRCNjteHS0VR3JgYH8hk0fGRV1sJDTt+nbYCKm2uc7y3GkfcdBRKT57QSPS8/xRj5uZtV9IjL0qoiFwiIkZEetv7IiK3i8hCEZktIqPycZ1BH/8lH8MoitIJ0IpJiqIolU3OSqiI9AeOAD53NR8FDLK3rwJ32q+KoiiAOzpejVBFUZKQlhLq+HcG7HZrP9Dq9gn13Gs8CqjYLn8Rn9BAfJ7QODU1EiUfP+24vonwq4ZUISEw+VBCbwV+RqwIPRF40Fi8BTSIyI55uJaiKGVCSH1CFUVRKpqcjFARmQgsM8Z84DnUD1ji2l9qtymKogCaoklRFKXSSbkcLyIvATv4HLoSuAJrKT5rROQ84DyAnXfeOZehFEUpIarsJa/WNg1MUhQlnkhCep/SmN6ync6yu7Mc77T7BSY5r8ZZ8g46qZNiy3UmC0yKm1MkUEkfqjMhpRFqjDnMr11E9gEGAh+I9QtrBN4Vkf2AZUB/V/dGu81v/LuBuwFGjx6tvz1FqRC2q7FuP5uaW1P0VBRFUcqRrAOTjDEfAn2dfRFZDIw2xqwWkcnARSLyCFZA0gZjzPJcJ6soSvnQUFcNwPqtaoQqiuLBN9DHlbbJUTUjAUj2abZ6GfAopVZf74Cxiqeje0YU0Jhk9cmnm1G5Tr9ApAqlUHlCnwOOBhYCW4GzCnQdRVFKlG611u1nwzY1QhVFUSqRvBmhxpgBrvcGuDBfYyuKUn6EggG61oZUCVUUJTk+ieEdpdM4+eUdn9CAnTLJTwn1up87odmO8umU4rT9SpOqnz5+qr77mVCBAmmJle1UFKWcaKirUiVUURSlQtGynYqiFI2GLtWs39pS7GkoitIZ8eaWdyuZ9vuAnYA+kpTe9reMJLFPooSaRFHwnnKe1gVi1dJIFLyJbU82f6drRv6jZY4qoYqiFI3uXapYr0qooihKRaJKqKIoRaN7XRVfrN9W7GkoitKJEOMp0elVHYn6hIadCpttsV0kHNvP3RZRKD2Kp+NfGlFA05Hp8pAfNFXkfTrXL1VUCVUUpWg0dFGfUEVRlEpFlVBFUYpGQ521HG+MQTR3nqIoSXD7UnqrHzm+n5EUn45PaLs7t2isbOj1CY1UUrL3TbI8oV411TOvZKhvaBRVQhVFKRoNXappDxs2N7el7qwoiqKUFWqEKopSNLp3qQK0apKilAMi8hMRmSMiH4nIwyJSKyIDRWSGiCwUkX+KSHWx56l0HtQIVRSlaHSvs4xQ9QtVlNJGRPoB/4dVvnsoEAS+A9wE3GqM2R1YB5yT8eDG2Uxkk7C9tVtL74FWz9YWv0nYs1wu9hawNhMQayne3o8cT+IpJMZYQUnOHJPN39ssOQYllQFqhCqKUjQauqgRqihlRAjoIiIhoA5YDhwKPG4fnwQcV6S5KZ0QDUxSFKVoNNRZK3O6HK8opY0xZpmI3Ax8DmwDXgTeAdYbYxyn76VAv/QGjG/yDUzyBCIFPCmaCMefE3cpJ8G9XfIzErDUmYMlyySoSZVQpbTYfp9iz0DJIw32cvz6bVo1SVFKGRHpAUwEBgI7AfXAkRmcf56IzBKRWa0tWwo0S6WzoUaoUlrsenCxZ6DkEQ1MUpSy4TBgkTFmlTGmFXgCGAs02MvzAI3AMr+TjTF3G2NGG2NGV1XXA1F/y4gvp4nfHN/QQJu1SRv2ZpA2Q6CdyOb1zYz4ZNqbEbHUT7cvaGQTEEk8p8igrrk5/qK5kMzXtAxQI1RRlKJRWxWkJhRQn1BFKX0+B8aISJ1YSX/HA3OBV4AT7T5nAE8XaX5KJ0SNUKW02GVssWeQHg27FHsGJUNDXRUbVAlVlJLGGDMDKwDpXeBDLPvibuDnwMUishDoBdyb7TXEuLawZ3Oi5G1F1FE/xb05EfWOQhkQCEicAursO0ppOhHscZH3+carApcJaoQqpcWeRxd7BumRpdvA2WefTd++fRk6dGikTUR+JyLzRWS2iDwpIg2uY5fb+fc+FpEJrvYj7baFInKZq903Z5+I1Nj7C+3jA7L6AFnQ0KVafUIVpQwwxlxljNnTGDPUGHOaMabZGPOpMWY/Y8zuxpiTjDHNxZ6n0nlQI1RRCsHYH2d12plnnsmUKVO8zVOBocaYYcAnwOUAIjIEKw/f3lgBAH8WkaCIBIE7gKOAIcDJdl9InLPvHGCd3X6r3a9D6F5XpT6hiqKkJsbfMnbzVT7d6mfYRPrGkcgnNI25FFwBLXPUCFWUfPLjj+AXK6HXblmdPm7cOHr27BnTZox50ZXi5C0s536wIlEfsdWGRcBCYD97W2grEC3AI8BE208rUc6+ifY+9vHx0kHF3Bu6VKlPqKIoSgWiRmhno8+exZ6BkgvbbQ+hmvT6nvp46j7xnA08b7/vByxxHXNy8CVq70XinH2Rc+zjG+z+Baehrop1W3U5XlGUKDFR5Z5oc3FXTPL4hsYpoq5jiaLj46Pk7X3bZzSSfDQZ6fhqpqOwVhhqhObKvt/L73h1vfM7Xjmx26HFnkFqMhEPBx2e4dByJdAGPJTRiXnGnc9v1apVOY/Xs76GtVtaMLmmMlEURVFKivIwQsdfVbxrjzg1zwPqF3HGnDe92DMoOCJyJnAMcKqJWmvLgP6ubk4OvkTta0icsy9yjn28u90/Dnc+vz59+uT4yaD3dtW0thtdklcUJX089eSl3dnsKPl2Q6Ddo5Qm8gl1hkwSCZ/wmEcBdau1aVPBCml5GKEHXVy8a6ez9Lrr11L3GTQhdZ9s2G77wozbmdhpZMde76Cfxu5P/HNBLyciRwI/A441xmx1HZoMfMeObB8IDALeBmYCg+xI+Gqs4KXJtvGaKGffZHsf+/jLpoOkyT5drf9Dqzdr0KyiKEolUR5GaLG4cCZUdUneZ/gpMO7S1GM17ht9X5+7uhRh7I9LJ7dmqRCqjd3ffoh/v3E/y3jok08+mf3335+PP/6YxsZGgN7An4CuwFQReV9E7gIwxswBHsVKCD0FuNAY0277dF4EvADMAx61+0LinH33Ar3s9ouBSFqnQtNnO8sIXblJjVBFUZRKorKN0P97L7fz++xBUg09WAPfvBOqt0s+zoTrYecx0f3vvwZ7HAWnPZXb/MDyUSyEoHXQJfkfMxWjTu/4a6ZDF3c0u+vv4dAro+/TVGsffvhhli9fTmtrK0uXLgVYbefX62+MGWFv5zv9jTHXGWN2M8YMNsY872p/zhizh33sOle7b84+Y0yTvb+7ffzTTH8M2dI7ooRqcJKiKEnwS9HkTVrvDVhy9Y0LHrJLccYFH0WS2KefrD4jvCVBK5jKNkJ77pr8+MCDYef9839db/CR10jttiOc8gjsdkj+r50vttuh46+59zfzO96hv8juPO9No0eS6kjffsh6mNCgm4Q4SuhqVUIVRVEqipyNUBH5oV3NZY6I/NbV7lvJpdNT2xB9f9Rv4VsPxh6/7PP0x4pESnsMEL9qOh2TkrF0+er5yY/vNCr9sQ66xPLj7LNXbnNyIwn+K+11TOd+mOgEdO9SRSggrFKfUEVRkuCXbimxIupVRtMIGPIooEnnkmnwkeJLTkaoiByCleR6uDFmb+Bmu923kkuOc4V9TrJe+43OeaiE9N8PGvez3ger4o/Xdk9/LOcPNNUfajkZoNVd49vy4VbQY2Dy44l+L7uNt16r6qNtOw6Hkadm/3N3P6iki3OtLj2s1/5jEvetMAIBofd2NaqEKoqiVBi5KqEXADe6/MpW2u2JKrnkxp5ft16790vez49Ufpluvv03SwXNsupNp2LwUSRM+3Ti/emNsceRVoBTOsZkz4GWu0HDztG23Q5JbUQWikQKZbp488B+/RYYfXb24/UaZL3ufVzyfhVG767VqoQqiuKLn+oYaUuhiOLnC+ohLml95CIS3bKYo5KaXI3QPYCDRGSGyP+3d+9RUlR3Ase/v+l5AMPwHB5DABmQQFgIyCKgEEAQ5bWaSB6wwRBkRUV3NT5Rdg3xHGPMxo27ezwm0eTE7C6gyUJCzGMlivEkZxeWICpCCKMxURZBMOrGjfKYu3/ULaYfVd1d3dVdVczvc06d7rpVU/Wbrqqu2/fWvVd+LiJuE2+/EVtyBOr4uqwDnHUS+WUkjIGmgTDlqvL36Vcd7/Ukcq1tZd8txEFq1r0NvYf5L/fb12UPZ87X1MLcL+RWK3/+LY8/NnDrS3DDC5nJA/7Me18lNHA6Rp6SyMHl/9bJsPC+zPlzV0KNV6G+37FWxejXvUG7aFJKqU6mYCZURH4mIns8pkuBWqAPMBW4BXgs6HjToXV8XXAIxLTMwbq3YdFXS99XsfKVwqWy+hf9wERYdD9c8s/hx7Hofug5NDe95+DcNIDWGZnzXofU79eh34hPPTx+gwyaWNKIUyVl8zxPyxAfgyh02rufaZjdb51Bmrs38IZWxyulAsodxtOZTndin691fIj7V6UpmAk1xlxojBnrMf0Ap4Rzk3HsANpx+jX0G7GlcgoNgdhgn1Wsqc2/Xs4ZWuTJ1XMoXL65Y+z3UQth5RP+m7jjf2D8UjtjM3STVkDXEp43TLdsU25a/9GwdH1uumn33kYxvyO8LrpZd8Dib+amexl6HqzaBj0G5S5b+ijMvC17h4UCcl7c2BvsM6LuDwGv53vDdNlDMGCs//k1+06nS7BeQ7yXd3LNTQ0c++Nx2tv1y1wppTqLcqvjvw9cACAiHwTqgaP4j+QSkhJKsMYudl5nhtAHd3pVvpvpEezY5nZ+9loYOM6u5HFjTdVCCG21cpw9p/h1fTPkJZYQzroNGot8nOCKn2bOpzdoGjUPzs76UdEyPm2miPi62xLH+kYnc7zip/nXL9fYy+CaX/pn4FO1hbsE68T6dW/gZLvhLR26Uynlx3hMWcuynw3N6FvUTXP/xH0GNP3Zz0LPgQYpTa1AyeuZptxM6LeA4SKyB9gILLelop4juZS5r/K4J1Rtff71phcxBOiirzpV+lHxG4rzU/8abDt9WmHBVzrm590LTS3ll8YWcu6VmfOXb4bV/+m9bm1XuLkNzjr/dFKvbh6Z5wFjnVf3cQC3YVTLeCdz3H90bibQ70ummHNAhapZh+5USqlOp6xMqDHmuDFmma2en2iMeSptmedILuUp4ydFsc9sDKvAEJfZ+w7y2OyEZblpvXw6R//QXxTeXlNW9ffkK2HcJ2HpRph6Ndz06+Kqrkvt3mjevbDwK5lpI2b7V1MPGNNRqmnVuvue/XcdHdhfuA5WboWBNjM6ZApc9Qyc/zdp28puHOXxP1y4DubcWfj/UKHSDuuVUjnylCT69ReaUyJqPPoHLbKEMqPFvI5uVBHJHDGpUAbogrV5FoZ8FjW1QGN/uPgeu/kg2y/iKvjoA/7LMoaLTLP8h7B6u/eybh5/s/gh25VTAIEfxA6xTsL9jM9ZBp/4tvM+Vef08ep2xVXf6JSC1qSd4m5jsHwNxqZcXdl+Wyevcn4IjNEumtL1a3JqKLSbJqWU6jwKtdKJF7ePxWHT4cXNucsvuhtaPwKnTsC2u3OXA6E/oFHbALcc6JhvaoEje7Nav9t99hwK7xyEKddkbqNQpuezP4bn1sOzWdXt3frAn97MXT+7dXu2VEP+oSazjV5U/LqF5PtfJyxzjl/mHwTb/pSrAQOTr8pdNv/LTh+zH7QZbvcz6D/GOWbjPgF1XYPtL6i+I+CmfZXdRwI125JQbSGvlFKdR7IyoS0fhhv3ORm9H3n0L3n+dc7raztzl5VauhW0xG/xw3BgKzSf3ZHm9tU5/frMLoncbov8SjRdw6Y5k5sJdVuU13Zxnk1dF2AUJ4C1rxf3edQ3OX1+1jbkLqtEaWFGqW+JPxZq62Ha9d7LGvvC3Ls65vt/yGmx/uoO2OyRaVVV07NrHU0NtTz7qlffs0op5c1taGRsBZeU2MGNikayMqHg3aVPGC59AHqG0H1Otz4w/lOZad37w51/yM24zbzVeeYxaFX4zNtg7/c7qtaXPhrsc6kp4imMta8D4p0BTTfrDnj6i4W3N+Vq2P8TGHNpUSGeVukhTfsMdxp67dlU+FnQj329srF0YiLCX04dykPPvMxvj75La3Nj4T9SSimVaMl8JrQgm3EZfG5HUqESzXOWwfCZ+de53OMRgGLV1ORmqFJ1TsOaoBmtAWOc4SPdYTdHzXNKicNU1xXquvgvd2Oeld2fp4++I+Bze5zRqMrlZtrrupW/LXCeH/30Y5lDjXoZvySc/SlPfzV9OHWpGh58ui3qUJRSUfO4ZWc0MspqXJS+zLMxkrtNj+1mD9uZM3ynqpjkZkJv2u+/bNA5MHV18R2n52XP2O4DbT+gMXHuSmj0GZ3IS8p2TdW1dzj7T2+1v3IrzLglnO26WsbDsI/kDpsJTrdSN/4auvQId58qUv2aGlg6eSibdh3kd8fejTocpZRSFZa86nhXvhK1mhqYd09mWrnVupWuFq60fqNg/t93dGlUrvRS0iGTnSnbxfdA88jStl/bAJ993HtZqg56tJS2XRVrq2eN4Ls7X+XuH+3jG5+ZFHU4Sqm4M1mvkjkvPgMDVjweVZTkloRWjT2jayo87GM1TFmV0+dmRZ23uvBwqnH1uRfh5gP+y5f/sHqxdCL9e3Th2tln88Tew/ziwNGow1FKKVVBmgktpGmgU9V8uceY7OrM1XOw06DMT+sMp8uw9OFGVSiumNbK0D7duG7DLrbuPRx1OEqpBMgZprOoP6L0rsN1SM5QJLc6Pii3j1G3u6RiicDsvw09HJUgM9fAyIty0//aoyswVbYudSkeuWIy163fxZXf2UlrcyNTh/dlwbiBjBrYRENtilSNUCMgCKkaobZGqKlJ+CMzSinVyZz5mdC5dzmd2w+aCP1Gw9ApmcsX3gd7t0QTW1DTrvfupF9V1gW3Rx1Bp9Pa3Mim1eezfvvv+WXbMbbsPsiGHb/P+zcNtTXOVJeia12K+trMih7NonY+fgVVpZ4LX1o8jj8/q0C/zip82c975pHzDGhWC/qK0VLRkiQ7E7rofhg4Lv866R2XZ2dAwek8Pr0D+Tibe1dmZ+tRWPVzp5N8pSqsoTbFimmtrJjWynsnTvGLA0c59M57vH/iFMbAKWMwBtqN4f2T7bx34hTHT7bz/slT/On4KY6fakfsXcvoHaLTkqycSznnQte6ZN8ylYqbZF9Rk1ZEHUHnM2hC1BGoTqhLXYoLxwyIOgylVExkl2oa98dGmFUexWxLf9+WRRsmKaWUUkqpqtNMqFJKKaWUqrpkV8crpZRSSrlKqR7P6uBeWzFWj5aEKqWUUqpoIvItETkiInvS0vqIyFYROWBfe9t0EZF/EpE2EXleRCZGF7mKG82EKqWUUiqIbwPzstLWAE8aY0YCT9p5gPnASDutAh6sUoyA04DJnQqvjJaCVplmQpVSSilVNGPMM8CbWcmXAo/Y948AH01L/45x/BfQS0RaqhOpijvNhCqllFKqXAOMMYfs+9cBt0+1DwCvpq33mk0LzuA7XGbRpZ0qVjQTqpRSSqnQGGMCj6wuIqtEZKeI7Dxx/N0KRabiRkyMfjmIyBvA7wqs1gwcrUI4xdJ48otTPHGKBYqL5yxjTL9qBFOKIq7ZuH3mXuIeo8ZXvmrFGOvrNUwiMgx43Bgz1s7vB2YZYw7Z6vanjTGjROTr9v2G7PXybPsN4F3if165knANpKt0vEVfB7HqoqmYoEVkpzFmUjXiKYbGk1+c4olTLBC/eEpR6JpNwv8Y9xg1vvIlIcYzwBZgOfAl+/qDtPTrRGQjMAV4O18GFJzvlSQdsyTFCvGKN1aZUKWUUkrFm4hsAGYBzSLyGvB5nMznYyKyEqd25JN29R8DC4A24P8AHW9bnaaZUKWUUkoVzRiz1GfRHI91DXBtZSNSSZXEhknfiDqALBpPfnGKJ06xQPziqYQk/I9xj1HjK18SYlSZknTMkhQrxCjeWDVMUkoppZRSnUMSS0KVUkoppVTCJSoTKiLzRGS/HYN2TeG/KHk/oYyLKyLL7foHRGR5ibEMEZFtIrJXRF4UkesjjqeLiOwQkedsPF+w6a0ist3u91ERqbfpDXa+zS4flrat2236fhG5uJR47HZSIvKsiDweg1heEZEXRGS3iOy0aZEcq6hV63oNEI/ftbRORA7aY7ZbRBZEHGfR51AEsY1K+5x2i8g7InJDlJ+h6DjmZ5y4fXeky/M9Eotr1Eux98hIGGMSMQEp4CVgOFAPPAeMqdC+ZgATgT1paV8G1tj3a4B77fsFwE9wRpydCmy36X2Al+1rb/u+dwmxtAAT7fsm4DfAmAjjEaC7fV8HbLf7eQxYYtO/Blxj368GvmbfLwEete/H2GPYALTaY5sq8XjdCKzH6bOOiGN5BWjOSovkWEU5VfN6DRCT37W0Drg56s+slHMoBsf4deCsKD9DQvi+1ik+Uxy/O7LiC3RPjsNU7D0yiilJJaGTgTZjzMvGmOPARpwxaUNnwhkX92JgqzHmTWPMH4CtwLwSYjlkjNll3/8vsA9nyLOo4jHGmD/a2To7GWA28D2feNw4vwfMERGx6RuNMe8bY36L033H5KDxiMhgYCHwsJ2XqGLJI5JjFbGqXa/FynMtJYHfORSlOcBLxphCA4xUVEjf1yo+Yvfdka6Ee3KkAt4jqy5JmdDwxp8tTdBxcUOP11Yfn4NT+hhZPLZofzdwBCeD9BLwljHmpMe2T+/XLn8b6BtiPPcDtwLtdr5vhLGAkyF/QkR+JSKrbFrk504EYv0/ZF1L4HSm/byt2o26Gi3IORSlJcCGtPk4fYaVH8dcVUpijlGR9+SoBblHVl2SMqGxYZwy7Kp2KyAi3YF/B24wxrwTZTzGmFPGmAnAYJxfraOrte90IrIIOGKM+VUU+/cx3RgzEZgPXCsiM9IXRnHuqEwe19KDwAhgAnAIuC/C8CAB55B9huwS4Ls2KW6f4Wlx+LzUmSdO92Q/Mb1HZkhSJvQgMCRtfrBNq5bDbrWNfT1SIK7Q4hWROpyT/d+MMZuijsdljHkL2Aach1Ot5Q5+kL7t0/u1y3sCx0KKZxpwiYi8glNlMxv4x4hiAcAYc9C+HgE242TSIz9WEYjl/+B1LRljDtsfVu3AQ4T7KEZgAc+hqMwHdhljDkP8PkOCX3MqPmJ/jALek6MU9B5ZdUnKhP43MNK26qrHqQraUsX9u+PiQu64uJ+xrS6n0jEu7n8AF4lIb1s1dZFNC8Q+v/FNYJ8x5h9iEE8/Eell33cF5uI8E7MN+LhPPG6cHweesr8StwBLxGmx3gqMBHYEicUYc7sxZrAxZhjO+fCUMebTUcQCICKNItLkvsf5jPcQ0bGKWNTXaw6/aynrmcCP4RyzSJRwDkVlKWlV8XH6DK2g15yKj9h9d6Qr4Z4cmRLukdVXTOuluEw4LRt/g/MM4toK7mcDTpXSCZznJVbiPEfxJHAA+BnQx64rwAM2pheASWnbuQKnkUsbsKLEWKbjFOs/D+y204II4/kw8KyNZw9wp00fjpNxa8Opomuw6V3sfJtdPjxtW2ttnPuB+WUes1l0tPyLJBa73+fs9KJ7jkZ1rKKeqnW9BojH71r6F/v5P49zI2mJMMZA51BEMTbi1CD0TEuL7DMkpO9rneIzxe27Iyu2QPfkuEzF3COjmHTEJKWUUkopVXVJqo5XSimllFJnCM2EKqWUUkqpqtNMqFJKKaWUqjrNhCqllFJKqarTTKhSSimllKo6zYQqpZRSSqmq00yoUkoppZSqOs2EKqWUUkqpqvt/W7HbkUcvEHgAAAAASUVORK5CYII=\n",
"text/plain": [
"<Figure size 864x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"epsilon = 0.5, rmse = 0.164102\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 864x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"epsilon = 1.0, rmse = 0.202578\n"
]
},
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 864x288 with 3 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"def rms(a, b):\n",
" return np.sqrt(np.sum(np.square(a - b))) / float(np.product(a.shape))\n",
"\n",
"\n",
"epsilons = [0.0, 0.1, 0.25, 0.5, 1.0]\n",
"for epsilon in epsilons:\n",
"\n",
" fixed, obj_vals = timesort(sample_data, sample_timestamp, timing_error, epsilon)\n",
" \n",
" print('epsilon = %.1f, rmse = %.6f' % (epsilon, rms(fixed, true_timestamp)))\n",
"\n",
" figure(figsize=(12,4))\n",
"\n",
" subplot(131)\n",
" plot(fixed - true_timestamp)\n",
" plot(fixed - sample_timestamp - 40.0)\n",
" legend(['residuals', 'change'])\n",
"\n",
" subplot(132)\n",
" plot(obj_vals)\n",
" \n",
" subplot(133)\n",
" estimated_data = ts_histogram(sample_data, fixed, bins)\n",
" imshow(estimated_data.T, aspect=1.0)\n",
"\n",
" show()"
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Investigate different functional forms"
]
},
{
"cell_type": "code",
"execution_count": 31,
"metadata": {},
"outputs": [
{
"data": {
"image/png": "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\n",
"text/plain": [
"<Figure size 432x288 with 1 Axes>"
]
},
"metadata": {
"needs_background": "light"
},
"output_type": "display_data"
}
],
"source": [
"reference_index = 50\n",
"k = 0.3\n",
"\n",
"n = data.shape[0]\n",
"xv = np.zeros(n)\n",
"for i in range(n):\n",
" \n",
" dx2 = np.sqrt( np.sum( np.square( sample_data[i,:] - data[reference_index,:] ) ) )\n",
" dt = np.abs( i - reference_index)\n",
"\n",
" xv[i] = 0.01 * dx2 / np.exp(- k * dt)\n",
" \n",
"figure()\n",
"plot(xv)\n",
"vlines(reference_index, 0, 0.1)\n",
"xlim([reference_index - 50, reference_index + 50])\n",
"ylim([0.0001, 10])\n",
"yscale('log')\n",
"xlabel('Timestamp')\n",
"ylabel('Error Function')\n",
"show()"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": []
}
],
"metadata": {
"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": "3.7.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}
Sign up for free to join this conversation on GitHub. Already have an account? Sign in to comment