diff --git a/generate_training_data/generate_FC_data.ipynb b/generate_training_data/generate_FC_data.ipynb new file mode 100644 index 0000000..6b9954f --- /dev/null +++ b/generate_training_data/generate_FC_data.ipynb @@ -0,0 +1,261 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Generate SPOCK training data" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import spock\n", + "import random\n", + "import numpy as np\n", + "import rebound\n", + "import pandas as pd\n", + "from spock import simsetup\n", + "from spock import FeatureClassifier" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "load dataset" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "#specify the data path\n", + "#We will be using cleaned data generated from the original spock initial conditions data, filtered according to https://github.com/Ethadhani/SPOCKcleanData.git\n", + "datapath = '../../cleanData/csvs/resonant/'\n", + "initial = pd.read_csv(datapath+'clean_initial_conditions.csv')\n", + "labels = pd.read_csv(datapath+'clean_labels.csv')\n", + "#drop junk column\n", + "initial = initial.drop('Unnamed: 0', axis = 1)\n", + "#merge labels and initial conditions based on runstring\n", + "Initialdataset = initial.set_index('runstring').join(labels.set_index('runstring'))\n", + "Initialdataset = Initialdataset.drop('Unnamed: 0', axis = 1)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can establish a function that, given a list of initial conditions, will return a rebound simulation" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "def get_sim(row, dataset):\n", + " '''Given a row number, and a data sheet containing initial conditions, returns a corresponding simulation\n", + " \n", + " Arguments:\n", + " row: what row the simulation you would like to create is on\n", + " format of row is in order: \n", + " [index, 'p0m', 'p0x', 'p0y', 'p0z', 'p0vx', 'p0vy', 'p0vz', 'p1m', 'p1x', 'p1y',\n", + " 'p1z', 'p1vx', 'p1vy', 'p1vz', 'p2m', 'p2x', 'p2y', 'p2z', 'p2vx',\n", + " 'p2vy', 'p2vz', 'p3m', 'p3x', 'p3y', 'p3z', 'p3vx', 'p3vy', 'p3vz']\n", + "\n", + " dataset: what dataset contains your initial conditions\n", + "\n", + " return: returns a rebound simulation with the specified initial conditions'''\n", + " try:\n", + " data = dataset.loc[row]\n", + " sim = rebound.Simulation()\n", + " sim.G=4*np.pi**2\n", + " sim.add(m=data['p0m'], x=data['p0x'], y=data['p0y'], z=data['p0z'], vx=data['p0vx'], vy=data['p0vy'], vz=data['p0vz'])\n", + " sim.add(m=data['p1m'], x=data['p1x'], y=data['p1y'], z=data['p1z'], vx=data['p1vx'], vy=data['p1vy'], vz=data['p1vz'])\n", + " sim.add(m=data['p2m'], x=data['p2x'], y=data['p2y'], z=data['p2z'], vx=data['p2vx'], vy=data['p2vy'], vz=data['p2vz'])\n", + " sim.add(m=data['p3m'], x=data['p3x'], y=data['p3y'], z=data['p3z'], vx=data['p3vx'], vy=data['p3vy'], vz=data['p3vz'])\n", + " return sim\n", + " except:\n", + " print(\"Error reading initial condition {0}\".format(row))\n", + " return None" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can now generate the set of system row indices" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "#generates the indexes of the systems\n", + "systemNum = range(Initialdataset.shape[0])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can note the column names and import the different feature generators" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "col = ['EMcrossnear', 'EMfracstdnear', 'EPstdnear', 'MMRstrengthnear', 'EMcrossfar', 'EMfracstdfar', 'EPstdfar', 'MMRstrengthfar', 'MEGNO', 'MEGNOstd', 'InitialStable']" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "spock = FeatureClassifier()" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can then establish some helper functions that will allow us to map the spock.generate_feature function to the different systems by mapping to different row numbers and generating the correct simulation" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "def getList(features):\n", + " '''Helper function which isolates the data list from the generate_features return'''\n", + " return list(features[0][0].values())+[features[1]]" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "def getFeat(num):\n", + " '''when given a index of a row, loads initial conditions and returns the spock generated features'''\n", + " #gets features based on index num\n", + " sim = get_sim(num,initial)\n", + " return spock.generate_features(sim)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "'4.3.2'" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "rebound.__version__" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can now map getFeat to the different rows of the Initial df, this will create each simulation and generate the spock features." + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [], + "source": [ + "import sys\n", + "from multiprocessing import Pool\n", + "if __name__ == \"__main__\":\n", + " with Pool() as pool:\n", + " features = pool.map(getFeat,systemNum)\n", + " pool.close()\n", + " pool.join()\n", + "#formats the data correctly\n", + "formattedFeat = pd.DataFrame(np.array(list(map(getList,features))), columns = col)\n" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can then join the generated features with the corresponding labels" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], + "source": [ + "dataset = pd.DataFrame.join(formattedFeat,labels)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can then save the new training data spreadsheet." + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [], + "source": [ + "dataset.to_csv(datapath+'1e4Data.csv')" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "ethadhani", + "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": "3.10.13" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/generate_training_data/reproducibility.ipynb b/generate_training_data/reproducibility.ipynb index de3e825..c89a796 100644 --- a/generate_training_data/reproducibility.ipynb +++ b/generate_training_data/reproducibility.ipynb @@ -1,5 +1,15 @@ { "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# New Feature generation verses old Feature generation method comparison can be found at checkout\n", + "9468319e75c2489304147f738c3815d594485fbd\n", + "\n", + "Done by Elio Thadhani" + ] + }, { "cell_type": "markdown", "metadata": {}, @@ -31,6 +41,11 @@ "In summary, you can easily get the same trajectories as the long-term ones if you use safe_mode=0 (but can't calculate MEGNO), you can use the above commits to calculate MEGNO and use the same trajectories above if you use natural units (but there's a funny scale dependence otherwise), or you can use different chaotic realizations and it doesn't make a statistically significant difference." ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [] + }, { "cell_type": "markdown", "metadata": {}, @@ -361,7 +376,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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", 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\n", 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", 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" ] diff --git a/jupyter_examples/ComparingToNbody.ipynb b/jupyter_examples/ComparingToNbody.ipynb index db58d66..716bc95 100644 --- a/jupyter_examples/ComparingToNbody.ipynb +++ b/jupyter_examples/ComparingToNbody.ipynb @@ -18,7 +18,7 @@ "outputs": [ { "data": { - "image/png": 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wTUtLw7Rp0+Dv7w8ej4cdO3bc8zFHjx7FwIEDYW9vj/DwcHzzzTfGL5TcN12Q8ng82NnZmbscQjjB398f//3vf9G3b18899xzyMvLM3dJNo9TYdrR0YG+ffviyy+/vK/7FxcXY/LkyRg5ciTOnTuHN998Ey+88AK2bt1q5ErJ/dBqtVCpVODz+RSkhHSTm5sb/vWvfyEkJATPP/88Ll++bO6SbBpnNwfn8XjYvn07Hn744Tve5x//+Ad27tx5w3+yRYsW4fz580hPT7+v89Dm4Mah1WqhVqvB5/MhFNKgckJ6SiaT4c0330RDQwM++OADhIaGmrskq3K/GWDV72Lp6elITk6+4WsTJkzAunXroFKpbtsaUigUUCgU+n+3tbUZvU5bo2uRCgQCClILoNVqIZfL0dnZCblcfsPfNRoNVCoVtFotRCIR+Hw+RCIRRCIR7OzsIBaLIRKJIBaL4eTkBIlEQte8TczJyQnvv/8+Fi9ejJdffhnffvstvL29zV2WzbHqd7Kamhr4+Pjc8DUfHx+o1Wo0NDTAz8/vlsesWLEC7777rqlKtDlarRZKpZJapCbEMAza29tRXV2NqqoqVFdXo6WlBfX19WhqagKPx7vjll9eXl5oa2sDn8+Hq6srGhoabrusnZeXFxobG8Hn8xEaGgqBQAAvLy94enrq//T09IS9vb2xn65NcnZ2xqeffopnn30WL7/8MtasWUM9aSZm9e9mN39K1r0R3OnT89KlS/HKK6/o/93W1oagoCDjFWhDtFotFAoFBAIBreBiJGq1GuXl5SgpKUFZWZk+PDs6OgBc23HHx8cHgYGBiIyMhJubG6RSKSQSCRwcHPR/6m4CgeCG4zMMA41GA6VSqb+pVCrI5XLIZDK0t7ejo6MDdXV1qKqqwvnz528I6pCQEEgkEgQEBCAkJAQhISGQSqUm/RlZK09PT3z66adYtGgRXn/9dXz22Wf04cWErDpMfX19UVNTc8PX6urqIBQK4eHhcdvHiMViiMViU5RnUxiGgUKhoFG7LNNoNCgqKkJOTg5yc3NRXl6Orq4uCAQChIaGwtvbG/Hx8fDz84O/vz+8vLwM6hHg8XgQCoUQCoX3vQJPZ2cn6uvr0dDQgKamJpSVleHs2bM4f/48mpub4eHhgfDwcERERCA8PBzu7u7UVdxDwcHBWLVqFZYsWYJ//etfWLFiBfUAmYhV/5STkpKwa9euG7524MABDBo0iN7QTUx3HVosFtMbpQEYhkF1dTVycnKQk5ODy5cvo6urCxKJBLGxsZgxYwbCwsIQHBxsMW+iEolE3wq9Xnt7O4qLi1FUVITCwkKcPn0aDMNAKpWiT58+CA0NRUxMDC2b102xsbFYsWIFXnvtNXz44Yd466236HfOBCzjt+0+yWSyGyYoFxcXIzs7G+7u7ggODsbSpUtRWVmJn376CcC1kbtffvklXnnlFSxcuBDp6elYt24dfv31V3M9BZukUCig1Wphb29Pv9Q9wDAMCgoKkJWVhbNnz6KlpQXAtcn7U6dORZ8+fRASEsK53UScnZ2RkJCAhIQEAIBcLkdxcTEKCwtRVVWF9PR08Hg89OnTB9HR0YiPj6dgvU9DhgzBP//5T7z77rtwd3fH4sWLzV2S1ePU1JjU1FSMHTv2lq/PmzcPP/74I5566imUlJQgNTVV/72jR4/i5ZdfRk5ODvz9/fGPf/wDixYtuu9z0tQYw6hUKqhUKojF4luuv5G7q62txbFjx5CWlgaBQAC1Wo1Bgwahf//+iImJsfrrzq2trcjLy0Nubi7y8/MBANHR0ejXrx969+5t9c+fDb///js+++wzPP/885g1a5a5y+Gk+80AToWpOVCY9pxarYZSqYSdnR11q9+nrq4unDp1CmlpacjLy4O9vT2SkpIwcuRIREVF2WzLXiaT4eLFizh37hxKS0thZ2eHuLg4DBo0CJGRkTb7c7kf33zzDTZs2ID3338fY8aMMXc5nENhyhIK057RaDRQKBQQCoXUgrgPhYWF+laoUqlE7969MXr0aAwePJh+fjdpampCdnY2zp8/j4aGBkilUgwdOhSDBw+mbuDbYBgGn3/+Of744w988cUXiIuLM3dJnEJhyhIK0+7TTYHh8/k0MvouGIbBmTNnsHPnThQUFCAmJgZ9+/bFiBEj4Onpae7yLB7DMCgvL8epU6dQWloKmUyGwYMHY8SIETTd5iYqlQovvPACqqqq8P33399xNgO5FYUpSyhMu4dhGHR1dYHH49HI3TvQarXIyMjA1q1bUV9fj6ioKEycOBEDBgzg3CAiSyGTyZCRkYGMjAwoFAr069cPo0aNgpeXl7lLsxhNTU145513wDAMPvvsMxrDcJ8oTFlCYdo9XV1d0Gq1cHBwoCC9iVarxcmTJ7Ft2zZUVlaiX79+mDFjBnr16mXu0qyGQqHA6dOncfz4cbS1tSE2NhajR4+mhVf+v4sXL+KFF17AnDlzsGDBAnOXwwkUpiyhML1/CoUCKpXqtivn2DKNRqMP0aqqKgwYMACPPfYYIiMjzV2a1dJoNMjOzkZaWhrUajX8/PzwwAMPwNfX19ylmd3PP/+MtWvX4uOPP8agQYPMXY7FozBlCYXp/VGr1ZDL5bC3t6eRu/8fwzA4d+4cfv31VzQ0NOgXVQgPDzd3aTaDYRhcvHgRhw4dglwuR1xcHB544AE4OjqauzSz0Wq1eP3111FYWIjvv/8e7u7u5i7JolGYsoTC9N4YhoFMJoNAIKDRlP9fTU0NtmzZgqNHjyIuLg5z585FRESEucuyWRqNBmfOnMHhw4fBMAzGjRuHwYMH2+w16ubmZjzzzDMIDQ3FqlWrbPbncD8oTFlCYXpvnZ2d0Gg0cHJysvnrpGq1Gjt37sTvv/8ONzc3PP300xg8eLDN/1wsRWdnJw4dOoQzZ87A29sbU6ZMuWWZQ1tx9uxZvPLKK3j66acxb948c5djsShMWUJhendKpVK/NqylrAVrLleuXME333yDiooKTJs2DTNnzqSpQRaqsrISu3fvRmVlJRISEvDggw/a5O/3999/jw0bNuDTTz9Fv379zF2ORaIwZQmF6Z1ptVp0dHRAKBTCwcHB3OWYTUdHBzZu3Ij9+/cjMjISixYtQlhYmLnLIvegu6adkpICe3t7jBo1Cv369bOpXgStVouXX34ZFRUVWLduHVxdXc1dksWhMGUJhemddXR0gGEYODo62tQb0PVOnz6NH374Aa2trZgzZw4mTJhA1584prOzEwcOHEB2djYSEhIwYcIEmxqg1NDQgGeeeQYxMTH48MMP6f/vTShMWUJhensKhQIKhQKOjo42OQ1GoVBg3bp1SElJwZgxY/DXv/6VVpXhuPz8fPz5558AgEceecSmehcyMzPxzjvv4LnnnsNDDz1k7nIsCoUpSyhMb6XRaNDR0WGzG6lXVlZixYoV4PP5mDp1Kh588EGbbZlbG5lMhh07dqCoqAgjR47E6NGjbaaltmbNGmzfvh1r165FcHCwucuxGPebAbbxv4SwSi6XQyAQ2GSQpqen49VXXwXDMPj73/+O5ORkClIr4uTkhDlz5mDcuHE4fvw41q9fj7a2NnOXZRLPPPMMfHx88P3334PaWN1HLdN7oJbpjbq6uqBUKuHk5GQzn9iBa63xDRs2YPv27Rg+fDief/55zg+6YhgGjY2NKC8vR1VVFVpbW1FbWwuZTAaZTIb29nbIZDJ4eHigtLQULi4ukMvlEIvFsLe3198CAgIAAN7e3vDy8kJgYCACAwPh5ORk5mdomPLycmzduhVKpRLTp09HdHS0uUsyuvPnz+OVV17Bq6++ismTJ5u7HItA3bwsoTD9H7Vajc7OTtjb29vUtmAtLS34z3/+g9zcXDz11FN46KGHONca1W20nZeXh6KiIv1NJpOhd+/eyMvLQ2BgIOzs7ODk5AQnJyc4OzvDyckJ3t7eUCgUsLOz00+F6urqglwuh0KhgEQiwdWrVwEAFRUV+nNKpVIEBAQgISEBnp6eiI6ORnR0NKcG98jlcuzatQvV1dXo27cvRo8ezbnXvrtWrlyJjIwM/PTTT3B2djZ3OWZHYcoSCtNrGIZBe3s7+Hw+51sc3VFQUIAPPvgADMPg9ddf58xekK2trcjMzER6ejrq6upw9OhRuLi4QK1WIyIiAmFhYQgPD0dYWBjCwsLg5+cHe3t7g88rk8lQWVmJiooK/U0mk+H06dPw8PBAbW0tevXqhb59+6Jv375ISEjgxO/VyZMncfjwYfTt2xcTJ0606iUzm5ub8eSTT2L8+PF46aWXzF2O2VGYsoTC9Bpda8TZ2dlmRu8eO3YMn332Gfr374/FixfDzc3N3CXdkUajwfnz53H06FGkp6cjNzcXDMMgLCwM48aNQ3R0NPr06YPAwECzvH5arRbl5eW4ePEizp8/j+zsbNTV1QEAhg8fjvDwcAwfPhwxMTEW2/LLz8/Hzp074eXlhb/85S+c7+a/m23btuHrr7/GV199ZRPd23dDYcoSCtNrb4Stra0Qi8U2s/buzp07sXnzZvTr1w8vvPCCRbZEGIZBdnY2UlNTsWXLFjQ1NSEsLAx9+vRBUlISkpKSLHqXlNraWmRnZyM7OxsnT56Ep6cn5HI5xo0bh/Hjx1vk1JTq6mps2rQJEokEs2bNstr3BI1Gg0WLFkEkEuHLL7+02A84pkBhyhIK02uLMyiVSri6utrEL9WmTZvw008/YebMmZg7d67FPefa2lr88ccf2LZtG4qLixEcHIwJEyYgOTkZffr04eTAMK1WiwsXLuDIkSM4evQo2tvb9a3qCRMmWNQc3qamJvz666/QarWYNWuW1W5AfvHiRbz00ks2PxiJwpQlth6mGo0Gra2tcHR0tPqpMAzD4KeffsLvv/+OuXPnYubMmRYTpFqtFqmpqdizZw92794NkUiE5ORkPProoxg6dCgnA/RO1Go1srKycOjQIRQUFKC6uhpJSUmYMWMG+vTpYxGviUwmw2+//Ya2tjY8/vjjVrv5+IcffohTp07Z9GAkClOW2HqYtre3Q6vVQiqVmrsUo2IYBt9++y127dqFhQsX4uGHHzZ3SQAAlUqFrVu3YteuXcjMzMTEiRMxatQoTJw40Sbe3Do6OvSt1fPnzyM6OhozZ87EsGHDzP4BQqFQYMuWLaisrMSjjz5qlZu9NzU1Yd68eTY9GInClCW2HKYqlQrt7e1wcnKy6qkwWq0WX3zxBVJSUrBkyRJMnDjR3CVBqVRiy5YtWLNmDaqrqzF79mw8+uijNruzB8MwOHv2LDZt2oTz588jICAAjz/+OB544AGzXs/WaDTYvXs3rly5goceesgqB+vY+mAkClOW2HKYtra2gsfjWfXzVqvV+PTTT3H06FG8+uqrGDt2rFnrUSqV+P3337FmzRrU1tZiypQpWLJkCXr16mXWuizJlStXsGnTJpw8eRKxsbGYMGECHnzwQbONMtdqtdi1axfKy8sxadIkq9sE3tYHI1GYssRWw1ShUKCjowMuLi5Wu0+pVqvFxx9/jOLiYvz1r3/F8OHDzVYLwzDYvXs3Vq9ejebmZowaNQp/+9vfrLLrkC2lpaX49ddfcfz4cfTu3RuzZ882W8tdq9Xijz/+QHFxMWbOnKlfFcpaXLhwAV988QVmzpyJBx54wNzlmBSFKUtsMUwZhkFrayuEQqHVLtDAMAzWr1+PLVu24B//+AdGjhxptlqKiorw5ptvorq6Gr169cIbb7xBIdoNV69exXfffYecnByMGDECCxYsMMsIW7Vajc2bN6Ourg5z5syBp6enyWswpmXLluHq1av44YcfLHKqmLHQQvekx7q6uqDVaq16Tun27dvx66+/4vnnnzdbkCqVSnz66adITk5GVVUV3n//faxdu5aCtJsiIyOxcuVKvPbaa8jJycGzzz6L33//HSqVyqR1CIVCPProo5BKpfj999+tboH8p59+GkKhECkpKeYuxSJRmJIbaLVadHV1wd7e3uyjJY0lPT0d3333Hf7yl79gwoQJZqkhIyMDEyZMwJdffolFixbhwIEDGDFihFlqsQY8Hg9jx47Fd999hylTpuDnn3/G22+/jby8PJPWIRaLMWPGDAgEAvz++++Qy+UmPb8xhYSEIDIyEr///js0Go25y7E41vluSXpM98tvrUulFRQUYMWKFRgxYgSeeeYZk5+/s7MTy5cvx1NPPQU3Nzfs3bsXr732Givr4hJAIpFg/vz5+OKLL6BUKvHuu+9i48aNJn3zd3Jywl/+8hd0dXVhy5YtJm8hG9OsWbNQXV2NY8eOmbsUi0NhSvQ0Gg3kcjns7e2tcsRefX093n77bYSGhuL11183+XPMycnB/Pnz8fPPP+Odd97Bli1bEBUVZdIabEVISAg++ugjzJw5E1u2bMGbb76pXwvYFNzc3DBjxgy0tLRg3759VrM/aGRkJAYOHIjffvvNap4TWyhMiZ5cLgefz7fKVpJcLse//vUvCIVCvPvuuyZfzWnz5s2YNm0atFot9u3bhyeeeMKiutEZhoFCoUBbWxsaGhpQW1uLqqoqlJeXo6SkBMXFxSgqKkJJSQnKyspQXl6OyspK1NTUoL6+Hi0tLejs7IRarTb3U9ETCAR4+OGHsWLFCjQ2NuKll15CRkaGyc7v6+uLqVOnIj8/HydOnDDZeY1t1qxZKC4uRlZWlrlLsSg0mvcebGU0r1arRWNjIxwdHa1u4JFWq8X777+Ps2fP4tNPP0VoaKjJzq1UKvH2229jw4YNmDlzJj744AOzf1hRqVSQyWTo7OyEXC6HXC5HV1cXGIbRB7ydnR0EAoH+JhQK9S15hmGg1Wr1f+puuu/zeDyIRCL95uEODg5mvwYvk8nwxRdfICMjA1OnTsW8efNMthDJ6dOncfz4cUybNs0q5qAyDIOXX34ZfD4fn3zyibnLMTqaGsMSWwnTjo4OdHZ2wsPDw6JaTGxYv349du/ejb///e8YNGiQyc5bWVmJ//u//0NOTg7ef/99zJ492yzd5xqNBm1tbWhtbUVLSwuUSiW0Wi3EYrE+6BwcHPR/t7Oz63adDMNAqVRCqVRCpVLp/y6Xy8Hj8cDj8fS7Djk4OEAikZj8Z8EwDPbu3YuUlBSIxWK88cYbcHV1Ncm5//jjD1RWVmLu3LlWsQxkeno6li1bhlWrVqFPnz7mLseoKExZYith2tDQALFYbBW/6Nc7c+YMvv76azzwwAN44oknTHberKwsrFq1CkVFRfjvf/+Lvn37muzcwLXWZ2NjIxoaGtDR0QGNRgOxWAypVAoXFxdIpVKTdXXrQlXXEta1Yp2cnODk5GTyYM3Pz8cnn3wCFxcXvPjiiyZZYKGrqwsbNmyAs7Mz/vKXv3D+AyvDMHj22Wfh7e2N9957z9zlGBXNMyX3TaFQQKvVWt0I3vb2dnz00Udwc3PDzJkzTXbeffv24cknn4RSqcTevXtNFqQMw6CpqQm5ubnIyMhAYWEhACA4OBj9+/fHwIEDERkZCW9vb5NeMxaJRJBKpfDz80N4eDiCg4Ph7u4OlUqF2tpalJaWoq6uzmTTSKKiovD+++9DqVTirbfeQkFBgdHPaW9vjylTpqC6uhonT540+vmMjcfjYebMmcjKytL/P7N1FKYEnZ2dsLOzs7plAz///HN0dXXhH//4h8laAps3b8bTTz+Nhx56CL/99ptJ9uFUKBQoLi7GqVOncOnSJcjlcoSHh2PIkCHo06cP/Pz8LOqDkkgkgpubGwIDAxEUFASpVAqFQoHa2lpUVFSgra0NWq3WqDV4eHjgvffeQ2BgIN555x2cPXvWqOcDAH9/f4wYMQKZmZkoKSkx+vmMbcyYMfDx8cGmTZvMXYpFoDC1cWq1GiqVyuoGHR05cgSHDx/Giy++aLKl5X766Sc8//zzmDVrFj744AOjD3CRy+XIy8tDZmYmKioq4OnpiQEDBmDgwIEICAjgxJJvdnZ2cHNzQ1BQEPz8/GBvb4+WlhZUVVWhpaXFqPNDnZyc8Pbbb6Nv375YsWIFUlNTjXYunUGDBiE0NBR79+5FR0eH0c9nTAKBAI8//jjS0tJQVVVl7nLMjsLUxnV2dkIgEFjVxt8NDQ1YvXo1xo4di3HjxpnknN9++y1ef/11LFiwAKtWrTLqDiZyuRyXL19GRkYGGhoaEBISgqSkJERGRnJ6LWWxWAxPT08EBATAyckJMpkMVVVVaG5uNlqoikQivPbaaxg/fjx+//137N271yjn0eHxeJg0aRL4fD6OHDnC+bmaycnJCAgIwP79+81ditlRmNowrVYLhUJhUV2AhmIYBh999BHs7e3x4osvmuScq1evxttvv40XX3wR//73v43WpaxUKvUt0cbGRkRGRiIpKQnBwcFW1UUvEAjg6uoKf39/SKVSdHZ2ora2Fu3t7UYJH4FAgGeffRbDhg3DTz/9hMOHD7N+jus5ODhg4sSJuHr1Ki5evGjUcxmbWCzG+PHjsXPnTs63tA1lPb+BpNu6uroAwOzzHtm0Y8cOnDlzBh999JFJRiZ/9tln2Lx5M9544w28/PLLRjkHwzCoqKhAcXExGIZBSEgIgoODOT8i9F74fD5cXFz0rVTd3FipVMr6/1kej4c5c+aAz+fju+++g729PYYNG8bqOa4XEhKC/v37Iz09HREREXB0dDTauYxtwoQJOHr0KNLS0jBp0iRzl2M2nPtt/PrrrxEWFgZ7e3sMHDjwrmtEpqam6ue4XX8z9eLXlkoul0MsFlvNm3JlZSX279+Phx9+GAMHDjT6+X755Rfs27cPDz30kNGCVCaTISsrC5cvX4aHhweGDRuG0NBQq3nN7ocuVL28vGBnZ4empiY0NjayvtoSj8fDE088gREjRuDLL780eqsxMTERfD6f86sjeXh4wNvbG0eOHDF3KWbFqd/ITZs24aWXXsJbb72Fc+fOYeTIkZg0aRLKysru+rgrV66gurpaf+vVq5eJKrZcCoUCGo3GagYeMQyD//73v2hpacHChQuNfr5jx47h5ZdfRnR0NF5//XXWj6/ValFYWIj09HSoVCoMHjwYcXFxnBhUZCxCoRDu7u5wd3eHRqNBY2MjOjs7WT0Hj8fDc889h/j4eHz88ccoKipi9fjXE4vFGD58OPLy8lBZWWm085jCuHHjkJOTg9raWnOXYjacCtNPPvkE8+fPx4IFCxAbG4vVq1cjKCgIa9asuevjvL294evrq78Zc3AIV1jbdJiMjAykpaXhhRdeMHq3dUFBAebNm4cRI0bgP//5D+utxI6ODpw6dQrFxcUIDw9HUlIS3NzcWD0Hl9nb28PLywsODg6QyWRoaWlhdSqNQCDAK6+8gsDAQKxYsQLV1dWsHftmsbGx8PX1RWpqqtGnAxlTYmIixGKxSUZEWyrOhKlSqcSZM2eQnJx8w9eTk5PvOQm6f//+8PPzw/jx4+/ZFaFb7Pv6m7VRq9VWNfBIo9FgzZo1SEhIQFJSklHP1dDQgJkzZ8LX1xc//PAD6y3FmpoanDhxAmq1GkOGDEFERIRNdeneLx6PBxcXF7i6ukKtVqOpqQlKpZK14+uWG3R3d8eaNWsgk8lYO/b1eDwexowZg8bGRly4cMEo5zAFBwcHJCUlWcUI5Z7izG9pQ0MDNBoNfHx8bvi6j48PampqbvsYPz8/fPfdd9i6dSu2bduG6OhojB8/HmlpaXc8z4oVKyCVSvW3oKAgVp+HJdANPLKW6TB79uxBaWkpFi9ebNRl6RQKBebOnYuOjg789ttvrC4vyTAM8vLycPbsWXh5eSEpKcmql69ki0gkgru7O4RCoX7nGrY4OzvjlVdeQV1dHX766SejhYS3tzfi4+ORkZHB6RGxY8aMQXl5uVG7xi0ZZ8JU5+Y3S4Zh7vgGGh0djYULF2LAgAFISkrC119/jSlTpuDjjz++4/GXLl2K1tZW/a28vJzV+i2BbuCRNexZ2tnZiXXr1iE5Odnoe4O+9dZbUKlU+OWXXxAcHMzacZVKJbKyslBcXIzY2Fj079/farrfTYHP58PV1RWOjo7o7OyETCZjLfh8fHzwt7/9DSdPnsTOnTtZOebtJCUlQSAQcHowUv/+/SGVSm22q5czYerp6QmBQHBLK7Suru6W1urdJCYm3nUtTrFYDBcXlxtu1kSj0UClUllNF+9vv/0GmUyGBQsWGPU8W7ZsQVpaGhYsWMDqSOHOzk6cPHkS7e3tGDp0KMLCwlg7tq1xdHSEs7MzVCoVq3NS4+Pj8fDDD2Pz5s24cuUKK8e8mb29PZKSklBRUcHZQTxCoRCjRo3i/PXfnuJMmIpEIgwcOBApKSk3fD0lJaVb88HOnTsHPz8/tsvjDN2WWNbQxdvQ0IDffvsNjz/+eLc+UHVXWVkZXnzxRQwcOBCzZs1i7bjt7e04fvw4GIZBUlIS3N3dWTu2rdLtfKTbdo6tN/VHHnkE0dHR+OKLL9De3s7KMW8WFxcHiURiknWCjWXs2LFoamri9PXfnuJMmALAK6+8grVr1+L777/H5cuX8fLLL6OsrAyLFi0CcK2L9sknn9Tff/Xq1dixYwcKCgqQk5ODpUuXYuvWrViyZIm5noLZdXV1WU0X77p16yAWi/HXv/7VaOfQaDRYtGgR3NzcsHLlStaO29raihMnTsDOzg7Dhg2zmilKlkAoFMLFxQUMw7AWqAKBAEuWLIFKpcK3335rlOunPB4PgwcPRnFxMWdbp1FRUfDz87PJOaecCtOZM2di9erVWL58Ofr164e0tDTs2bMHISEhAIDq6uob5pwqlUq89tprSEhIwMiRI3H8+HHs3r0bjz76qLmegllptVoolUqrWPGopKQE2dnZePrpp426esxXX32FkydP4ptvvmGty7+5uRknT56ERCLB8OHDraKXwNIIBAK4uLiAz+dDJpOxEqhubm547rnnkJ2dbbQlB8PDw+Hq6srZ1imPx8PYsWNx4sQJVkdXcwFtDn4P1rQ5eGdnJ1paWuDr68v56RYff/wxTp06hV9++cVoCxnk5ORgzJgxWLRoEf7973+zcszm5mZkZWXBwcEBiYmJNr0IgykwDKMfISuRSFj5f//bb7/h4MGD+Pe//22US0Z5eXk4fPgwZs2axcmu/6qqKixcuBBvvPEGRo4cae5yDEabg5NbdHV1QSQScT5I6+rq8Mcff2D27NlGCyOFQoFnn30WvXr1wj//+U9WjimTyZCZmQl7e3sKUhPh8Xj6novOzk5WumcfffRRBAQEGG26TFRUFJycnHDu3DnWj20K/v7+GDRoEM6fP2/uUkyK2++q5L4xDAOFQmEVXbzbt2+Hvb09JkyYYLRzrF69GiqVCt988w0r3bBKpRInT54Ej8ejIDUxHo8HiUQChmFYCVSRSIRHH30Uubm5yMrKYqnK/+Hz+ejXrx/y8/ONNtjJ2OLj45Gbm2tTXb0UpjZCoVCAYRjOh6lSqcQff/yBKVOmGG3QTmVlJX755Rc8+uijSEhIMPh4Wq0Wp06dglKpxPDhw42+aTi5FZ/Ph0QigVar1S9aYoi+fftiwIAB+OWXX1g53s1iY2MhFos52zodMGAAKisrkZ+fb+5STIbC1EbI5XIIhULOLwZw8OBBtLa24rHHHjPaOd599120tLRg8eLFrBzv3LlzaGxsRFJSEqe32uI6gUAABwcHaDQaVlpMc+bMgUwmM8piDnZ2dkhISMDly5dZX8zfFMLCwuDk5IRLly6ZuxSToTC1AbouXq4v1MAwDDZv3ozExESjLfN4/vx5/PLLL/jnP//Jyn6oBQUFqKysxMCBA+Hh4cFChcQQQqEQYrEYarUaGo3GoGN5enpi2rRp2LdvH6qqqliq8H/i4+Nhb2+Py5cvs35sY+PxeIiLi+P85ufdQWFqA5RKJbRaLee7eC9evIj8/Hw8/vjjRjk+wzB48803ERkZiaeeesrg4zU3NyM3NxchISFWucYzV9nZ2UEgEECpVBp8/XTy5Mnw8vLCrl27WKruf8RiMSIiIlBUVMTJFYX69OmDK1eu2Mx1UwpTG9DV1QU+n8/5QS+bN29GUFAQhgwZYpTjp6SkIDU1Fe+//77BPyuNRoOMjAxIJBLEx8ezVCFhi+66taFv9HZ2dpg5cyYuXbpklKUGY2Ji0NzczMn9TuPj46FSqWzmuimFqQ3QTYnhsrq6OqSmpmLGjBlGmdqjVquxdOlSjBw5EpMnTzb4eBcuXEBnZyeGDh3K+alI1ki3pKZurWpD9O/fH56enkZpnXp6esLV1fWu64lbqtDQUJu6bkq/5VZOd72U62G6f/9+REdHY9KkSUY5/pYtWyCVSvHee+8ZvNRibW0tCgoKkJCQwPmFPqwZn8+HSCSCVqs1qLuXx+NhypQpuHz5MoqLi1ms8JpevXqhpKTE4NA3NVu7bkphauV03VhcD9OMjAzExcUZZTQswzBYv349YmNjMWjQIIOOpVKpcPbsWfj4+CAyMpKlComxCIVC8Pl8qNVqg44zYMAA+Pj4YPfu3SxV9j+RkZFQq9UoLS1l/djGZkvXTSlMrZxSqQSPx+N0mJaWluL06dMGB92dpKWl4fDhw6wMbMrNzUVHRwcGDRpkFZsJ2AKhUAiGYQwa5MPn8zF58mScO3eO9ZG9zs7O8PX15WRXry1dN6UwtXJKpZLTQQpcCzt7e3ujDTz66quv0Lt3b4wePdqg47S3tyM3NxexsbE0n5RDeDweK63TxMREuLm5Ye/evSxV9j+RkZGoqKiAXC5n/djGZEvXTSlMrZw1XC9NTU1FYmKiUXZXKS0txa5du7B48WKDW5LZ2dlwcHBATEwMS9URUxEIBABgUKAKhUJMmDABZ86cQVNTE1ulAbi2mwyPx0NhYSGrxzU2W7puSmFqxbRaLdRqNafDtKGhAZcuXTK41Xgnuq3VZs+ebdBxGhoaUF5ejr59++rfmAl38Hg8/epghgxGGjVqFBwdHZGens5WaQAAe3t7BAcH4+rVq6we1xRs5bophakVs4bBR8eOHQOfz8fw4cNZO2ZKSgqSkpIQHByMjz/+GKNHjza4W/bs2bNwc3NDaGgoO0USk+Pz+Qb3TojFYvTr1w/Hjh1jfUeZiIgINDc367eU44r4+HgIhUJOfhDoDgpTK6YbfMTlxRqOHj2K/v37QyqVsnK8Z555BsnJycjIyEB5eTnUajU2b96MBQsW9PiY5eXlaGtrQ//+/WnQEcfx+XyDQzAxMRHNzc2sDxgKDAwEAM4t4BASEgI3NzdOjkbuDgpTK8b1wUcdHR3IyspirYs3JSUFP/zww22/t27dOhw6dKhHx83NzYWbmxt8fX0NKY9YAN2HIUMCNTw8HJ6ensjIyGCrLADXWr3u7u6oqalh9bjGxufz4ezsjKKiInOXYlQUplZMqVQaZdCOqZw8eRJqtZq1MH377bfv+v2ebALe0NCA2tpaREVF9bQsYmF4PJ7BizgMGTIEZ8+eZX2hBT8/P1RXV7N6TFPw9/fnZN3dQWFqpaxh8NH58+cxfPhw1lp895r/15P5gXl5eXByctJ3wRHuY6N1OnToUMjlctZHsfr6+qKjo4Nzm4Zz9UNAd1CYWimFQgGA24OPTpw4geDgYNaO5+/vb9D3byaXy1FSUoKYmBi6VmpleDyeQa+pr68vQkJCkJmZyWJV0H+w5Fow+fv7o6WlhZN7s94vClMrpVQqwefzObsZeFtbG8rKyhAdHc3aMZcvX37X77/33nvdOl5BQQH4fD4tG2iF2PhwNHToUNTW1qKrq4uFiq4RiUTw8PDg3HVT3QdVrn0I6A4KUyulVCo5PYpXtyFy7969WTvmgw8+iPnz59/2e/Pnz8f48ePv+1harRYlJSUIDw/ndOuf3JluClVISAiSkpKQkpLSrccnJCSgs7OT9aX0uNhl6ufnB6Bnl1K4gsLUSikUCk4vHpCbmwtHR0fWN9Veu3YtDh48iMTERAQHByMxMREHDx7E2rVru3Wc2tpatLW1ISIigtX6iGW4fgpVWVkZMjIykJyc3K0pVJ6enhCJRKxPkeHidVOJRAJXV1erDlNu9gGSe9JoNJzt4gWgX+PWGHuBjh8/vlut0NspLS2FnZ0dvLy8WKqKWIp7TaF64okn7uv/D4/HQ69evYwSpjweDzU1NXB2dmb12MbExRZ1d1DL1AoxDAONRsP5limbXbzXY2NlmrKyMoSEhLBQDbE0bE6h6tWrFyoqKlgdeCMSieDl5YWWlhbWjmkKfn5+Vt0ypTC1QhqNBgA42zJtampCTU0N4uLiWD82wzAGh2ljYyNkMhmrI42J5WBzClVUVBQYhmF9KT0XFxc0Nzezekxj8/f3R1VVFevLLFoKClMrpAtTrrZMdYOPYmNjzVzJ7ZWWlkIkEtGKR1aKzSlU7u7ucHd3Z72r18XFBW1tbawe09j8/f0hl8vR2tpq7lKMgsLUCum2keJqmObk5EAqlXZ73uf9YBjG4GkPlZWVCAwMNMr1XGJ+bE6hMtZ1UxcXF3R2dhq8B6spWfv0GHo3sEIajQY8Ho+zYdrU1ISkpCSLXAihq6sLLS0tCAgIMHcpxEjYnEIFXNvYm2EY/UIqbHBxcQEATrVOdQOnKEwJZ6jVas4GKQCcPn0aTk5ORju+ISHd0NAAuVwOHx8fFisilub6KVS6Edvr16/v9hQqAAgICEBNTQ3q6+tZq083ipdLYWpnZ4fY2FhOTenpDgpTK8T1aTH19fVGmXLCxsCHuro6iEQifcuAWK/x48cjPT0dBQUFsLe373GXqu7/MpthKhaLIRaLORWmAKBSqVj9OVgSClMrxOWWqVKpREtLi9HC1NCu44aGBppbamOkUilmzJjR431EJRIJHB0dUVdXx2pdXByE5ODgALlcbu4yjILC1ApxeY5pY2MjABglsDQajX6kc0/V1dVRmNogZ2dnHDhwoMeP9/b2Zr1FxsUwtbe3Z3WtYktCYWqF1Go1Z7t5dZ/ejRVYhrRMOzs70dnZSWFqgyIjI1FQUNDjSwXe3t5GaZly7fojhSnhDIZhoNVqOdsy1X16t8Ru3sbGRjg4OMDDw4PFqggXREZGor29HQ0NDT16vJeXF+rq6lhdsMDR0RECgYBT02MoTAlncH31o/r6etjZ2UEqlbJ6XDbexNrb29He3m7UkcbEMvXq1QsAejxf1NvbG3K5nNVlBcViMZRKJefClK6ZEk7QarWws7PjbJjqrkkaa46pod28EomEFmuwQWFhYeDxeD1eFtDNzQ2+vr6sLgGo+x1XqVSsHdPYHBwcqGVKuIHP50MikVjkggf3w1ijZdlomXZ0dEAikbBQDeEae3t79OvXr8eDiCQSCRoaGlhduEG3XzHXWqYUpoQTNBoNGhsbDR61ai4tLS3w9PQ02vEN+ZDR0dEBR0dHFqshXCKRSFBUVNSjx4rFYgBgNUx1LVMuhqk1LnZPYUosypIlS4wyjYCNOaYUptdotVr8+uuv5i7D5BwcHHo8etaYYcqlbl57e3toNBpOfQC4X5wL06+//hphYWGwt7fHwIEDcezYsbve/+jRoxg4cCDs7e0RHh6Ob775xkSVkp7QaDTYsGED62HK4/Gg1WoN+kSsVCrh4ODAYlXc9Omnn2L27NlYtWqVuUsxKWdnZ3R0dPTosXZ2duDxeDbfzav7/bHGrl5OhemmTZvw0ksv4a233sK5c+cwcuRITJo0CWVlZbe9f3FxMSZPnoyRI0fi3LlzePPNN/HCCy9g69atJq6cWAKNRmNQmE6fPh1arbbHb6jWYt26dQCA77//3syVmJajo2OPX3sejweRSEQtU3t7ABSmAICnnnoKaWlpxqjlnj755BPMnz8fCxYsQGxsLFavXo2goCCsWbPmtvf/5ptvEBwcjNWrVyM2NhYLFizAM888g48//tjElRNr0NnZiaysLJsM02eeeQaTJk3CpEmTkJeXB+DavrO6rz3zzDNmrtD4nJycDFokQSwWsxqmup2huNQy1YWpNU6P6fb8ifb2diQnJyMoKAhPP/005s2bZ5LtqJRKJc6cOYM33njjhq8nJyfj5MmTt31Meno6kpOTb/jahAkTsG7dOqhUKn03yfUUCsUN/+G5tlwXIWyTyWT48ccfb2nVMwyDffv2Abj2xv75559b9RxcJycngz5IiUQiKJVKFiu61jrlUphSN+91tm7disrKSixZsgSbN29GaGgoJk2ahC1bthi1u6GhoQEajeaWra98fHxQU1Nz28fU1NTc9v5qtfqOK5msWLECUqlUfwsKCmLnCRDCUU5OTsjMzLzjQhpSqdTo2+ZZAmdnZ4SFhfX48S4uLhCJRCxWdG2EMZfmlPP5fHh7e5u7DKPo0TVTDw8PvPjiizh37hwyMzMRGRmJuXPnwt/fHy+//DLru8pf7+YRmfcapXm7+9/u6zpLly5Fa2ur/lZeXm5gxYRw36BBg+76oXXAgAEmrsj0WlpaerycIHDtMgHbC36o1WpOLSKiVCrR1tbG+ocKS2DQq1BdXY0DBw7gwIEDEAgEmDx5MnJyctC7d298+umnbNUIAPD09IRAILjlF7quru6OGzX7+vre9v5CofCO66uKxWK4uLjccCOEAD///PNtv75x40YTV2Iehk6NUigUrIcI1za10F1C0107tSbdDlOVSoWtW7di6tSpCAkJwebNm/Hyyy+juroa69evx4EDB7BhwwYsX76c1UJFIhEGDhyIlJSUG76ekpKCYcOG3fYxSUlJt9z/wIEDGDRo0G2vlxJyN5cuXUJAQIDNzjX96aefAABBQUE4efIkAgMDAQDr1683Z1km09HRYVBXtlKpZDVMdaPTuRSmumul1him3X4V/Pz8oNVq8cQTTyAzMxP9+vW75T4TJkyAq6srC+Xd6JVXXsHcuXMxaNAgJCUl4bvvvkNZWRkWLVoE4FoXbWVlpf6XftGiRfjyyy/xyiuvYOHChUhPT8e6detscsK5rVOpVFCr1QYt3FBWVobQ0FCbDdO//e1vSExMxIcffgg+n4/S0lK88cYbGDhwoLlLMwlDWqa6vXR1izewQTfwiMLUMnT7Vfj000/x+OOP3/WH4ebmhuLiYoMKu52ZM2eisbERy5cvR3V1Nfr06YM9e/YgJCQEwLVu5+vnnIaFhWHPnj14+eWX8dVXX8Hf3x+ff/45HnvsMdZrI+zYu3cv+vfvz/r6vDweT3/rKScnJ8hkMhar4paZM2di5syZ+n/z+Xx89NFHZqzItGQyWY9nLuhG8bLZMuVymLL5ocJSdPtVmDt3rjHquG+LFy/G4sWLb/u9H3/88ZavjR49GmfPnjVyVYQtpaWlEIlERglThmEMWlbQ0dGRpkrZMF9fX0RHR/fosbprhdQy7YJYLObsRhx3w51hYOS+aDQatLa2cnahe29vb9TV1bF+XN2IR0NWQDJkBRzCbQzD4NChQz3untSFKbVMu6yyixegMLU6DMPorw9ykbe3N2pra1k/ru6TsFar7fExbL2b15bV1tZCLpcjPDy8R49vb2+Hs7Mzq3NxuRimCoWCwpRwg729vVEGf5mKt7c32traWF8hRRemhrZMhUKhVS6FRu5ONwakp2Ha3NwMhULB6u8mF8NULpdb5fVSgMLU6ggEAvB4PE63TAEYZdcY3XXTnnJ3d0dnZycaGxtZrIxwQWFhIQQCAYKDg3v0+MbGRri7u7O6wIJCodB/wOMKhUJhtTsvUZhaIa6t13k9Y4Up8L9t2HrKw8MDfD7/jisBEetVVFSEoKCgHs9Pb2houONCMT3V2dmp39qNK3QDkKwRhakVsrOz49S2TNfThakxBiEZ2mLXrStKYWp7Ojo6MHz48B4/vrGxkfUwNXQRCXOgAUiEU7jcMnV2doZYLLbIMAVuv0QlsW5arRZ79+7t8RxTjUaDlpYW1sNUJpNxbgERClPCKVwOUx6PZ7QRvUKhEFqt1qCuXj8/PzQ1NbG6LyWxbFeuXEFrayuGDh3ao8c3NzdDq9WyGqZarRadnZ2cC1OuD5C8GwpTK8TlMAWAwYMHs77vI/C/UY+GzMH19fUFcG21LWIb0tPTIRKJ0L9//x49vqGhAc7OznB3d2etps7OTjAMw6luXoZhUFJSAmdnZ3OXYhQUplbIzs5Ovwg2F4lEIqSlpbF+XD6fb3BXr7u7Ozw9PVFRUcFiZcSSZWRkYMCAAT0eOFNRUQEHBwdWd6DSLR7CpTBtbW2FQqG44y5fXEdhaoV0LTCuDkKKj49HYWGhUVYbMrTVzuPx4Onpiby8PBarIpZKq9UiIyMDiYmJPT5GeXk5fHx8WB11K5PJIBAIOHX9UXfphjYHJ5yhC1OudvUmJCSAYRhcunSJ9WOz0QUeFRWFuro6tLS0sFMUsVg5OTkICQm54zaP96JSqVBZWYnQ0FBW6+LiSN6amhrweDzW1922FBSmVojrYRoREQEHBwdcvHiR9WMLhUIwDGPQIKTw8HAIBALk5+ezWBmxRPv37wePx8OAAQN69Pjy8nJotVr9zlZs4WKY1tbWwsvLi1OLTHQHhakV4voqSAKBAHFxcbhw4YJRjq3Vag0a4CQSiRAWFkZhauW0Wi127tyJ+Pj4Hi/WUFJSAolEwmprjGEYyOVyzo2KrampsdrrpQCFqdXi8sINwLXrpsZomfL5fAgEAoOntkRFRaG8vJx2kbFiZ8+eRWVlJaZPn97jY5SWlrLexdve3o6uri64ubmxelxjq62tpTAl3CMUCjk9FzI+Ph5lZWVobW1l/dhisRhKpdKg0c5RUVGQSCS4fPkyi5URS7Jjxw74+/tj0KBBPXq8sa6XNjY2gs/nc6plqtVqUV9fr59aZo0oTK2UnZ0dp3c3SUhIAACjtE5FIhEYhjGoq1cikcDf3x9ZWVksVkYshVKpxJ49ezB9+vQeL05fXFwMR0dHhIWFsVpbU1MT3NzcWF0039gaGhqg0WioZUq4RyKRQKFQcHaT8JCQEDg5ORltEJJAIDB4YYjBgwejvr5evz0XsR6HDx9GaGgoHnrooR4fIy8vD05OTqyufMQwDJqamlhfmtDYdNNiKEwJ5+i2OeJq65TP52PixIkoKCgwyvHFYrHB3eChoaHw9vZGZmYmS1URS8AwDL7//nuEhYUhKiqqR8dQKpW4cuUK4uLiWK2tvb0dKpWK1dWUTKG2thZCoZBzdXcHhamVEovF4PP5nA1TAIiNjcXhw4dZ3ygcuPbz0Wq1Bg/SGjJkCK5cuUJzTq1IVlYWzp8/j2nTpvX4GPn5+VCpVKyHKRevlwL/G8nLpe3iuovC1ErxeDw4ODhwOkxHjBiB5uZmnDhxgvVj29nZgc/nGxzU8fHxsLe3p9apFfn2228RHR2N0aNH9/gYly5dQlBQEKRSKYuVcfN6KWD9I3kBClOr5uDggM7OTnOX0WMREREIDw/H/v37jXJ8kUiEjo4Og0b12tnZYejQobh06RJNk7ECOTk5OH78OJ599tket6I6OjpQXFyMPn36sFobV6+XAte2XgsKCjJ3GUZFYWrFJBIJlEolZwch8Xg8JCcn4+DBg0Z5DhKJBFqt1uDW6eDBg9HV1YWjR4+yVBkxl7Vr1yI4OBgTJ07s8TFyc3PB4/EQExPDYmXXForn8XicC9O2tjZ0dnb2eD9YrqAwtWK6QUhcbp1OmDABjY2NOHv2LOvHFgqFEIvFkMlkBh1HIpFg1KhRyMrKQmNjI0vVEVPLzc1FZmYmXnzxRQgEgh4fp6CgADExMfrfP7bU1dVBJBJx7nrp1atX0dDQgPDwcHOXYlQUplZMLBZDIBBw+rppv3794OnpabSuXkdHR6hUKoOnyQwdOhTOzs5ISUlhqTJiSlqtFu+//z5CQkIwadKkHh+noqICzc3NiI+PZ7G6a1281dXV8PLy4twgnvz8fHh7e3NuxabuojC1cly/bsrn85GcnIwDBw4YZX9We3t7CIVCg6932tnZYfz48bh8+TLKyspYqo6Yyh9//IHs7Gy8/PLLBrVKMzIyYG9vz3orrLm5GQqFAn5+fqwe1xSuXLnS4ylGXEJhauW4PqIXuNbVW1paarSF5R0dHSGXyw2+LpuQkIDAwEAcOXLEoF1piGm1tbXhk08+wZQpUzB48OAeH6eurg5FRUVITExkvfVYXV0NBwcHznXxtre3o6qqisKUcJ9EIoFKpeLsDjIAMGzYMDg6OmLfvn1GOb6DgwN4PJ7BrVMej4cJEyagvr4e6enpLFVHjO3zzz9HV1cXXnvtNYOOc+rUKUilUsTGxrJU2TVarRa1tbWcbJXqFl2hMCWcZw2DkEQiER577DHs3r3bKF29fD4fDg4OkMlkBh8/ODgYsbGxOHDgAOrq6liqkBjL+fPncfHiRbz44ovw9vbu8XGam5uRl5eHIUOGsD4HtL6+Hmq1mpNheuXKFZu4XgpQmFo9kUjEyjVBc5syZQqKiopw6tQpoxzf2dkZGo0GbW1tBh8rOTkZbm5u2Lx5M2enJdmCjo4OfPDBB/D398cTTzxh0LEyMzPh4ODA+sAj4FoXr4uLCxwdHVk/trHl5+fbRKsUoDC1CRKJxODpH+Y2dOhQBAYG4vvvvzfK8QUCAZydndHW1mZwANrZ2eEvf/kLampqcPjwYZYqJGxiGAbLly9HeXm5wYOO2tvbUVJSgiFDhkAoFLJY5bVt3Orr6znZKrWl66UAhalNcHJyQnt7O6evm/J4PDz99NPYt28fKisrjXIOFxcX8Hg8VtbZ9ff3x/jx43Hs2DHaVcYCbdu2Dfv27cOyZcsQHBxs0LEyMjIgEAjQr18/doq7Tk1NDQQCASf3AbWl66UAhalN0K0PaoyNtk1pxowZkEgk+Omnn4xyfD6fD6lUio6ODoPnnQLAqFGjEBERgW3btqG9vZ2FCgkbCgoKsHLlSsyYMQPJyckGHauyshIXL17E0KFDIRKJWKrwf6qrq+Hu7g6xWMz6sY3Nlq6XAhSmNsHOzg6Ojo6cD1NHR0fMmjULGzduNMpOMsC1VrxQKGSldcrn8/HII49ApVLhxx9/ZCWgiWHa2tqwcuVK9OnTB3//+98NOpZWq8Xhw4fh6+vL+jq8wLUdYmQyGUJCQlg/tinY0vVSgMLUZri6uqKtrY3z8x+feuoptLS0YMeOHUY5Po/Hg5ubG7q6uliZn+vi4oInn3wSdXV12LRpk1FGI5P7o1Qq8dZbb0Eul+Pdd981uLV3/vx51NfXY/z48UZZlai0tBQuLi6cbNnZ2vVSgMLUZri6ukKr1XK+uzE0NBTjxo3D999/b7RgcnBwgFgsRmNjIyvn8Pf3x+zZs5GTk4M9e/awUCHpLq1Wi3/+8584ffo0Xn/9dYN3MOns7MSJEyeQkJBglK3FWltb0dLSgtDQUNaPbQr5+fnw9PSkMCXWRywWw97e3io2sZ4/fz5ycnKMuoeou7s71Go1mpqaWDlebGwspk6dimPHjtGCDibGMAxWrlyJI0eO4MMPP2RloFBaWhr4fD5GjBhheIG3UVJSAkdHR87tEKOTl5cHR0dHTraqe4rC1Ia4urqitbWV812NI0eORHJyMn7++WejncPOzg5ubm5obW1lbTnG4cOHY8yYMdi1axdtJm5C69atw5YtW/DWW28ZtOG3TllZGUpKSjBq1CjY29uzUOGNZDIZGhsbERISwrlF7YFr3elnzpwxyuhmS0ZhakNcXV2hVqs5v4ADn8/H5MmTUVBQgOzsbKOdRyqVwsHBAfX19axca9YtN5iYmIhNmzbhxIkTLFRJ7oRhGPz000/49ddf8eqrr+Lhhx82+Ji6fWv9/PwQFxdneJG3UVpaCnt7e6N0H5vCxYsXoVAoDFrnmIsoTG2IRCKBnZ2dVXT1PvLII5DJZFi+fLlRW9peXl7QarVoaGhg5Xg8Hg/Tpk3DqFGjsG3bNhw5coSV45IbabVarF69Gt9//z2eeuopzJ49m5XjpqSkQC6XG23QkVwuR11dHWdbpcC11aDCwsLg5eVl7lJMijNh2tzcjLlz50IqlUIqlWLu3Ln3DIWnnnoKPB7vhltiYqJpCrZQrq6uVhGmQqEQ77zzDk6cOIGDBw8a9TweHh6QyWSsteh5PB4eeughPPjgg/jzzz+xd+9ezne9WxKlUom3334bmzZtwpIlSzB37lxWjnvu3DkUFxcjOTkZTk5OrBzzZmVlZRCJRJxc8Qi41kWdm5trc61SgENhOnv2bGRnZ2Pfvn3Yt28fsrOz7+uXZOLEiaiurtbfbH00pVQqhVKp5Py2bADwwAMPYPjw4Xj33XeNurqTs7MzHB0d9QuOs4HH42HixImYMmUKsrKysGnTJlrHlwUdHR149dVXkZqaihUrVmDGjBmsHLe2thYnTpzAgAEDjDbCtqOjA9XV1QgJCWF9sXxTOXv2LABg4MCBZq7E9Djxil2+fBn79u3D2rVrkZSUhKSkJPz3v//Fn3/+iStXrtz1sWKxGL6+vvqbu7u7iaq2TM7OzhAIBFbROuXxeFi2bBkKCgrw66+/GvVcnp6eAICqqipWW5Hjxo3DpEmTUFhYiC+++ILzC2uYU1VVFRYvXoympiZ8/vnnGDt2LCvHVSgU2Lt3L7y9vTFs2DBWjnk7RUVFcHR0hL+/v9HOYWxZWVmIjY01WsvdknEiTNPT0yGVSjF06FD91xITEyGVSnHy5Mm7PjY1NRXe3t6IiorCwoUL77ktlkKhQFtb2w03a8Lj8SCVSq0iTIFrG3I//vjjWLlypVEX8xcIBPDz84NSqURNTQ2rxx48eDDmzJmDpqYm/Oc//9GvaUru39GjR7Fo0SLY2dlh+fLlGDBgACvHZRgGhw8fhlqtxsSJE43WYmxoaEBzczMiIiI42yptaGhAUVERhgwZYu5SzIITr1pNTc1t9xr09va+6xvbpEmTsHHjRhw+fBirVq1CVlYWxo0bB4VCccfHrFixQn9dViqVGjy52xK5urqio6PDKrp6AWDp0qVobW3FV199ZdTz6Ho52tvbWRuQpBMaGorXX38dfn5++Oqrr3Dw4EG6jnoflEolVq1ahTfffBPx8fFYvXo1IiIiWDt+ZmYmioqK8MADD8DFxYW1415Po9GgsLAQHh4enO45y8rKgkgkQkJCgrlLMQuzhumyZctuGSB08+306dMAcNuRbQzD3HXE28yZMzFlyhT06dMH06ZNw969e5Gfn4/du3ff8TG6N2bdrby83PAnamGkUilEIpHVbF4dEBCARYsW4euvv0Z1dbVRz+Xk5AQvLy80NTWx3mvh7OyM5557DuPHj8fx48fx9ddfo7m5mdVzWJOSkhIsXLgQu3btwmuvvYb33nuP1e7FCxcu4MyZMxg5cqRRVyIqKyuDSqVi9UOAqTEMg6ysLPTr188oC/5zAbub73XTkiVLMGvWrLveJzQ0FBcuXEBtbe0t36uvr+/WXCw/Pz+EhITctRtNLBZzcoeG7uDxeHB3d0dtbS0CAwMN2svRUjz//PO4cOEC3nvvPaO3UN3c3KBUKlFbWwuhUAiJRMLasfl8PqZNm4bIyEjs2bMH//73v/HQQw9h1KhRnO3+Y5tKpcL27duxZs0aDBgwAP/6178QGRnJ6jkKCgpw/Phx9OvXz6gtLblcjoqKCgQHBxtlAQhTKS8vR21tLR5//HFzl2I2Zg1TT09P/cCOu0lKSkJraysyMzP1/fGnTp1Ca2trtwYENDY2ory8nLPDztnk7e2N6upqNDQ0cHZy+PVcXFzwyCOP4JNPPsHBgwfxwAMPGPV83t7eUKlUqKqqQlBQEOsfwGJjYxEaGoo//vgDW7ZsQWZmJmbPno3AwEBWz8M1p0+fxmeffYampibMmjULTz31FOs/+/Lychw6dAjR0dFISkpi9dg3u3r1KsRiMecvJ2VmZsLZ2RnR0dHmLsVsOPFRNzY2FhMnTsTChQuRkZGBjIwMLFy4EFOnTr3hxYuJicH27dsBXJvv9NprryE9PR0lJSVITU3FtGnT4OnpiUceecRcT8ViiEQiuLm53bbFz1UzZ85EREQEXnjhBdbW1L0THo8Hf39/CIVClJWVGWV7NQcHB8yaNQuvvvoqVCoVVq1ahd9//53zK1j1RE1NDd5++228+uqrcHNzwxdffIFnn32W9SCtq6vDvn37EBQUhLFjxxp14YT6+no0NzcjMjKS070OGo0Gp0+fxqBBgzj9PAzFmWe+ceNGxMfHIzk5GcnJyUhISMCGDRtuuM+VK1f0UwsEAgEuXryI6dOnIyoqCvPmzUNUVBTS09Ph7OxsjqdgcXx8fNDV1WU10zF4PB4+/fRTKBQKvPbaa0YfwMPn8xEUFAQ+n4+SkpK7DmwzRFhYGP7xj3/goYceQnp6Oj7++GPs3LkTnZ2dRjmfJWlpacGaNWuwdOlSXLp0Cf/617/w2WefITw8nPVzNTY2IiUlBZ6enkhOTjZqMKjVahQXF8PLy4vTg44AICcnBxqNxuYXxOExNGTwrtra2iCVStHa2mq00XzmdOnSJYhEIqvaKmnHjh2YP38+vvnmG5Ncw9FoNCgtLYVKpUJISIhRr321t7dj//79SE1NhUAgwLhx4/DAAw/A0dHRaOc0h5qaGmzevBl79+5FcHAwEhMTMXPmTDg4OBjlfHV1dTh06BBEIhGmTp1q9HETug/+1jBgZ926dZDJZHjxxRfNXYpR3G8GUJjeg7WHaX19PYqLi5GQkMDpARA3W7RoEfbv349jx46Z5DqjRqNBWVkZFAoFgoODWR2UdDttbW1ISUlBamoq3N3dERsbizFjxsDX19eo5zW2goICbNmyBYcPH4aTkxMeffRRTJ8+3ai/e2VlZTh48CA8PT0xYcIEowdpTU0NioqKEB0dzdkt1nTKysqwatUqzJs3j7W5vZaGwpQl1h6mWq0W2dnZ8PT0RHBwsLnLYU1raytGjBiB8PBwbN++3STXcrRaLcrKytDV1YWgoCCTtBbb29uRlpaGgwcPQq1WIzAwEMOHD8egQYM48+GotbUVx48fx4kTJ5CZmYnIyEgkJydj8uTJRn8O+fn5OHr0KIKDgzF+/HgIhcYdk9nR0YGLFy/C29vbKF3Vpvb999+jsrISb731ltVeL6UwZYm1hykAVFRUoLa2Fv369bOKaTI6aWlpeOSRR/D+++9j0aJFJjmnVqtFRUUFZDIZ/P394erqapLzqtVqnDlzBsePH8fly5dhZ2eHpKQk9O3bF7GxsRbXldjZ2YlTp07h8OHDOHPmDBiGwQMPPIDExEQkJiaa5P/h+fPncerUKcTExGDEiBFGDwONRoMLFy6Az+cjPj6e8+FTW1uLFStWYObMmUYf9WxO95sBZp0aQyyDtU2T0Rk1ahQWLVqEX3/9FcOHD0d8fLzRz6kblFRZWYmKigp0dXXBx8fH6NtpCYVCDB06FEOHDkVTUxNOnjyJ3NxcHDlyBN7e3vDy8kJcXBzi4uIQFBRk8u291Go1rl69ikuXLiEvLw8ZGRmwt7dHUFAQFi1ahFGjRpnsg4dWq0VGRgYuXryIgQMHYtCgQSY5b1FREZRKJRISEjgfpABw6NAhuLi42OQOMbdDLdN7sIWWKXBtvltnZ6fVLQUml8sxZcoUNDc34/Dhw3BzczPZuevr61FdXQ0nJycEBwcbvQvxdqqqqnDhwgVcvHgRV65cgUqlQkBAALy8vNCrVy/4+fnB398f3t7erLUG1Wo1amtrUVZWhqKiIuTm5uLy5ctQKBSwt7fH8OHDERkZiaFDh5r8w5tcLsfRo0dRVVWFESNGmGzgXV1dHa5evYpevXpZxT6fzc3NWL58OR566CHWNhSwVNTNyxJbCdP29nZcvnwZ0dHRkEql5i6HVSUlJfqRhlu2bIGdnZ3Jzi2TyVBWVgYej4eQkBCjD0y6G5VKhatXr6KwsBCXLl1CZ2cnCgsLAVxr2fr6+sLLywuenp5wcnKCRCLR3xwcHMDj8aDVaqFUKqFQKKBQKKBSqdDc3Iyuri6UlJSguroadXV10Gq1sLe3h0gkQnR0NGJjYxEfH4/w8HCzfKgArn2wOHr0KAQCAUaOHGmyxVs6Oztx4cIFeHp6sr5Sk7ls27YNWVlZWLZsmdWvGEdhyhJbCVPg2nwxgUCAmJgYc5fCumPHjuHhhx/GnDlz8Nlnn5m0m1OlUqG0tBRyuRz+/v4WM4KTYRi0traisrISlZWVqK+v13dNV1dXo7OzUz931sfHB9XV1fD09LxhTWc/Pz90dnYiPDxcv7OO7hYYGAg3NzeTdynfTKvV4ty5czh//jz8/f0xevRoo02xuZlarcalS5cgEAjQu3dvqxiTIJPJsGzZMowfPx6TJk0ydzlGR9dMSbf5+vqioKAA7e3tVrewxciRI/H5559j8eLFiIiIMOmcODs7O0RERKCqqgpVVVVoa2tDUFCQ2VpoOjweD66urnB1dUVcXNxt76PRaNDZ2Ymuri5otVoA/1u/WiQSWXw4dHR0IDU1FXV1dRg4cCASEhJMFu4Mw+Dq1atQq9WIiYmx+J/V/UpLSwOPx8OoUaPMXYpFoTAleu7u7nB0dERpaSn69Olj7nJYN2fOHBQWFuKdd95BeHg4pk2bZrJz83g8BAQEwMnJCWVlZbh8+bK+5WbJBAIBnJ2dOfnhqrCwEOfOnYNGo8HkyZNNen2WYRgUFhaivb0dMTExnJmmdC9dXV1IS0vDsGHDrG6hEENxf0gZYQ2Px0NgYCDa2tqsduuvf/7zn3jkkUewcOFCnD171uTnl0qliImJgaOjI4qLi3H16lWjrOtry9ra2nDo0CEcP34c3t7eePjhh00+0KmsrAxNTU2IjIzk5AeROzlx4gSUSqXVDzrqCQpTcgM3NzdIpVKUlJRY5ebUfD4fX3/9Nfr06YOZM2eaZb9aOzs7hIeHIyIiAl1dXcjNzUVtba1V/rxNSa1W4+zZs9i5cydaW1sxfvx4jBo1yuQDZKqqqlBbW4vQ0FCL73noDpVKhSNHjmDw4MEmm8bEJRSm5BahoaGQy+VWs3n4zRwcHPDrr78iICAAixcvRkNDg1nqkEql6N27Nzw9PVFZWYnLly+zvuG4rSgpKcGOHTtw+fJlxMfHY/r06WbZrq6urg4VFRUIDAyEt7e3yc9vTCdPngSfzzf69oZcRWFKbuHo6AgvLy+UlZVBo9GYuxyj8PLywtq1a5GTk4Mnn3zSbN3afD4fgYGBiImJAZ/PR35+PvLz8yGTycxSD9fU19cjJSUFaWlp8PDwwPTp09G3b1+zDPZpbm5GSUkJfHx84O/vb/LzG1NnZycOHTqEPn36WMU8WWOgMCW3FRwcDI1Gg8rKSnOXYjSRkZH4448/0NbWhkmTJqG+vt5stUgkEsTExCAiIgIKhQK5ubm4cuUKheod1NbW4vDhwzhw4ACUSiUefPBBjB07Fk5OTmapp62tDcXFxXB3d7eqNa51Dhw4AB6Ph4kTJ5q7FItFYUpuSywWw8/PD1VVVVY9QCY+Ph7//e9/UVdXh+TkZFRVVZm1Hjc3N/Tp0weRkZFQKpX6UG1vbzdrXZaAYRiUl5dj//79OHToELq6ujBixAhMnjzZZAsw3E5raysKCgrg4uKCiIgIs8+rZVtVVRWOHz+OMWPGWP1ce0PQog33YEuLNtxMo9Hg7NmzcHNzs5qVW+6ksLAQU6ZMgUAgwO7duxEaGmrukgAATU1NqKysRFdXFxwcHODr6wt3d3erWNv1fqnVapSVlSE3NxdtbW3w9vZG7969LaIrVde1K5VKERYWZnVByjAMvvrqK3R2duLVV1+1mrmy3UErILHElsMUAKqrq1FcXIx+/fqZdSk8UygrK8PUqVPR1dWF3bt3o1evXuYuSa+5uRk1NTVoa2sDj8eDp6cnvL29zdataQqNjY369X1VKhX8/f31A7YsgW6wkYeHB4KDg60uSAHgzJkz+OWXX/Dcc89Z/QfqO6EwZYmthynDMDh37hzs7e3Ru3dvc5djdDU1NZgyZQoaGxvx559/WtziFXK5HPX19airq4NSqYREItGvp2sNa6S2tbWhtLQUZWVl6OjogEQiQXBwMCIiIixqkYDKykrU1tbC19fXIlrIxiCXy/Hhhx8iMjISc+fONXc5ZkNhyhJbD1PgWldjXl4eevfubRPzyxobGzFt2jS4u7vjH//4B0aOHGnukm6hW1e3rq4Ozc3NUKlUcHZ2hqurK9zd3eHk5MSJlhLDMPpWd3V1NRobG2FnZ4egoCAEBwfDy8vLop4HwzAoLS1FU1OTVU5/ud6OHTtw6tQpvPHGG1a3+UV30Nq8hDXu7u6QSqUoKipC//79LerNzRg8PDywd+9ePPHEE5gyZQrWrl2Lv/zlL+Yu6wbXr6ur0WjQ1NSExsZGVFZWorS0FEKhEFKpFG5ubnB1dbWYLnqGYdDS0oKGhgb9Ta1Wg8/nIyAgADExMfDz87PIa8IajQbFxcVob29HWFiYVS3IcDPdoKMpU6bYdJB2B4UpuS+hoaHIzs5GRUUFgoKCzF2O0UmlUuzYsQPLli3DM888gxMnTuA///kPRCKRuUu7hUAggJeXF7y8vMAwDNrb29HS0oLm5mYUFhaCx+OBx+PByckJTk5OcHR0hEQigaOjo1EHlKjVanR0dKC9vR2tra1oa2tDfX091Go1BAIBPDw8EBkZCS8vL3h4eFj0hzSlUqnf3Nvalgi8GcMw2LZtG7y9vWkx+26gMCX3xdHREQEBASgvL4eHh4fFtHSMSSQS4f3330dYWBheeeUVnDt3Tr9ykqXi8XhwcXGBi4uLfq6wLshkMhlqa2vR1dWlv7+9vT0kEol+FxiRSAShUHjDTSAQgM/n6/cz1Wg0N9zUarV+f9OOjg79TTelSncMNzc3xMTEwNPTE66urhbZ+rwdmUyGkpIS8Pl8REVFWc2i9Xdy9uxZFBcX47nnnrPJ0bs9RddM74Gumf6PVqvF2bNnwefzbaK793pZWVmYNWsWFAoFNm7ciNGjR5u7pB7TbaumCz25XI7Ozk4olUrI5fJb1ggWCARQqVTg8Xi3XRFLKBRCpVLpNwN3dHS85WaJLfp7YRgGtbW1qKurg5OTE4KDg82+bZ6x0aCjW9E1U8I6Pp+PmJgYnDt3DqWlpRYzF9MUBg8ejIyMDDz55JOYOHEi3nvvPbzyyiuc/EBxr23VtFotVCoV1Gq1/sYwDBiGAY/Hg0AguOUmFAo5+bO4E6VSibKyMsjlcvj5+dnMEnr79++Hvb09HnroIXOXwjkUpqRbnJycEBISgpKSEri7u9tUa93Lywt//vkn3n33Xbz55psoKSnBsmXL4OHhYe7SWMXn8/UbgNuitrY2lJeXg8/nIyIiwiYuaQDA1atXceLECTz88MM06KgHuHHRgliUoKAguLi4IC8vz2oXwr8TgUCA5cuXY/v27di9ezf69++P/fv3m7sswgKtVouqqiqUlJTAyckJUVFRNhOknZ2d2LNnD6KiojBs2DBzl8NJFKak23g8HqKjo6FSqVBUVGTucsxi8uTJOH78OPr06YO33noL8+fPR1NTEwAgJSUFSUlJCAkJQVJSElJSUsxcLbkXuVyOwsJCNDc3IyAgACEhITYz+IZhGGzevBlNTU2YMWOGVXXXmxINQLoHGoB0Z9XV1SgoKEBcXJzVdXXeL61Wix9//BGvvfYaxGIxYmJikJqaesv95s+fj7Vr15q+QHJXWq0WdXV1aGhogIODAwICAqx+tO7NTpw4gZ07d2LevHk2scpZd91vBlDLlPSYn58f3N3dkZ+fD5VKZe5yzILP5+OZZ55BTk4OevXqddsgBYB169bh0KFDpi2O3FVrayuuXr2KlpYW+Pr6Ijw83OaCtKKiArt378aIESMoSA1EYUoMEhUVBQDIz883cyXm5efnd88PFP/85z9NVA25m66uLpSUlKCyshISiQQRERHw9PS0ue7Nrq4ubNy4EX5+fpg8ebK5y+E8ClNiEJFIhF69eqGxsRE1NTXmLses7rUXqrn3SrV1Go0GNTU1KCoqgkajQUhICAIDA2FnZ2fu0kyOYRhs3boVnZ2dmD17ts1cHzYmmhpDDObp6QkfHx8UFxfDxcXFZkZA3szf3x9lZWV3/T4xPd1i+g0NDdBqtfDx8YG7u7vNtUSvl5mZiQsXLmDOnDk2O96BbdQyJayIjIyEQCBATk6OzU2X0Vm+fPk9v6/Vam9ZYYgYh25R/aKiItTV1cHFxQWRkZEWvw6wsVVXV2Pnzp1ITExEQkKCucuxGhSmhBUCgQBxcXHo6upCXl6eucsxiwcffBDz58+/7ffmz5+PBx54AMC1N3kKVePR7aKjC1GJRILw8HD4+vpa/XKA96JUKrFx40Z4eXlh6tSp5i7HqlCYEtY4OjoiJiYGtbW1Njv/dO3atTh48CASExMRHByMxMREHDx4EGvXrgWPx9MvGA9QqLJNrVajvr4excXFaGxshLOzM8LCwuDn58fJtYHZxjAMtm/fjtbWVsyZM8cmrxUbk21/TCOs8/LyQkREBAoLCyGRSODr62vukkxu/PjxGD9+/B2/r9sSTbferUaj0X9NdyP3T6FQoKWlBW1tbfp9Xt3c3GhQzU3S09Nx+fJlzJgxw2bWGjYlClPCupCQEMjlcly+fBn29vZwdXU1d0kW6frw1G1txjAM+Hy+/kZuT6PRQCaToa2tDQqFAkKhEJ6enpBKpfRzu438/Hz8+eefGD58OPr27WvucqwShSkxiujoaMjlcly8eBEDBw602RG+9+P6nVg0Gg20Wi3UajUA3LCXqK1jGAYdHR2QyWT6reIcHBzg7u4OR0dHc5dnsaqrq7F9+3b06dMHkyZNMnc5VovClBgFj8dDfHw8Tp8+jfPnz2PQoEF0jeY+6EJVdz1VtwE3cG21JYFAYFPByjAM5HI5ZDIZOjo6wDAM7O3t4eHhAUdHR+rKvYempiasX78eLi4ueOyxx6jVbkQUpsRohEIh+vbti9OnT+PixYvo168f/TLfp+tbq7qWqu4G/C9YrbHVqlarIZfLIZfL0dXVBbVaDZFIBDc3Nzg6OtKHsvvU0dGBH3/8ESKRCPPmzbPZLfVMhTPvbO+//z6GDRsGiURy39fgGIbBsmXL4O/vDwcHB4wZMwY5OTnGLZTcwMHBAQkJCWhra7PZKTOG4vP5EIlEsLe3h0gkAp/Ph0ajgUKh0AeOSqXi7PxetVoNmUyGxsZGVFVVoaqqCk1NTdBoNJBKpQgMDERgYCBcXV0pSO+TQqHA+vXroVQq8fTTT1M3uAlwpmWqVCrx+OOPIykpCevWrbuvx3z00Uf45JNP8OOPPyIqKgrvvfceHnzwQVy5cgXOzs5GrpjoSKVSxMbGIicnBw4ODggLCzN3SZylC1YA+pHAGo0GarVaPzpY16rV/WlJrVetVguVSgWlUgmFQgGFQqH/ECASieDg4AB7e3uIxWLqxeghtVqNjRs3oqGhAQsXLoSbm5u5S7IJnAnTd999FwDw448/3tf9GYbB6tWr8dZbb+HRRx8FAKxfvx4+Pj745Zdf8OyzzxqrVHIbPj4+kMvlKCoqglgspqX1WMDj8SAUCvULEVx/jVUXsNffVxesutvN817Zcv35dX/q/q4bsczj8WBnZwdHR0eIxWIKT5ZotVps2bIFpaWleOqpp+Dn52fukmwGZ8K0u4qLi1FTU4Pk5GT918RiMUaPHo2TJ0/eMUx1n5Z12trajF6rrQgNDYVCocDly5chFArh7e1t7pKsii4kdV2hukFM19/UarV+oQjdYhG6cLvd7WZarVb/mOtvuiC/+di66752dnZwcHDQ/93WVyIyBoZhsHv3bly6dAlPPPEE9QCZmNX+j9btYOLj43PD1318fFBaWnrHx61YsULfCibsi4qKglKpxKVLl5CQkABPT09zl2S1rh/EdLObQ/bmcLw+IK9/zM1Bq2vdCoVC/d91LWDd14hppKamIiMjAw8//DDi4uLMXY7NMWu/yrJly+74iVh3O336tEHnuPmXWfcp/E6WLl2K1tZW/a28vNyg85Mb8Xg8xMXFwcvLC9nZ2aivrzd3STZJF3a6gU0ODg6QSCRwdHSEk5MTnJ2d4eLiAjc3N/3Nw8MD7u7ucHNzg6urK1xdXSGVSuHi4gJnZ2c4OTlBIpFALBbDzs6OgtSEsrKykJKSggceeACDBw82dzk2yawt0yVLlmDWrFl3vU9oaGiPjq1bxq6mpuaG6wZ1dXW3tFavp7t+Q4yHz+cjLi4OWq0W2dnZiI+Pt8llBwlhQ1ZWFnbu3Ilx48ZhzJgx5i7HZpk1TD09PY3WzRcWFgZfX1+kpKSgf//+AK6NCD569ChWrlxplHOS+8fn85GQkICcnBxcuHABGo0GAQEB5i6LEE7JzMzErl27kJiYiPHjx1NvgBlxZvhcWVkZsrOzUVZWBo1Gg+zsbGRnZ0Mmk+nvExMTg+3btwO41p340ksv4YMPPsD27dtx6dIlPPXUU5BIJJg9e7a5nga5jq7LNygoCDk5OXfdWJsQ8j8Mw+Do0aPYv38/RowYgcmTJ1OQmhlnBiC9/fbbWL9+vf7futbmkSNH9F0bV65cQWtrq/4+f//73yGXy7F48WI0Nzdj6NChOHDgAM0xtSA8Hg+xsbHg8/nIy8uDRqOhUYiE3IVWq8XevXuRmZmJcePGYdSoURSkFoDH0GaKd9XW1gapVIrW1la4uLiYuxyrVlhYiMLCQoSHhyMyMtLc5RBicdRqNbZu3YrLly9j2rRpGDhwoLlLsnr3mwGcaZkS6xcREQGBQID8/HxoNBpER0ebuyRCLEZXVxd+/fVXVFRUYNasWYiJiTF3SeQ6FKbEooSGhkIgEODy5ctQq9Xo3bs3dWERm9fe3o4NGzagtbUV8+bNQ3BwsLlLIjehMCUWJygoCHw+H5cvX4ZCoUDfvn1pqy1isxoaGrBhwwZotVrMnz+fVg6zUJwZzUtsS0BAAPr27YvGxkacOnUKXV1d5i6JEJOrrKzEunXrYGdnhwULFlCQWjAKU2KxvLy8kJiYCLVajRMnTqC5udncJRFiMpcvX8Zvv/0GDw8PzJ8/H1Kp1NwlkbugMCUWzdnZGUOHDoWjoyMyMjJQUlJi7pIIMSrdHNJNmzYhNDQU8+bNg4ODg7nLIvdA10yJxROLxRg6dCjy8vKQm5uL5uZmJCQk0HVUYnUUCgX27NmD8+fPY+zYsTSHlEMoTAkn6BZ3cHV1xYULF3DixAkMGDAATk5O5i6NEFZUVlZi69at6OrqwhNPPEFTwziGunkJp/j5+WH48OEAgBMnTui32iOEqxiGQXp6On744Qc4Ojri//7v/yhIOYhapoRznJycMGzYMFy8eBFnz55FeHg4oqOjqTuMcE5nZyf++OMPFBQUICkpCePGjaPLFxxFYUo4SSgUon///nB1dUVeXh5aWlrQv39/2j6PcEZJSQm2b98OjUaD2bNn0xKaHEdhSjgtLCwMUqkUFy5cQFpaGhISEu66Xy0h5sYwDNLS0pCWloaQkBA88sgjtPmGFaAwJZzn7u6OpKQkXLhwAVlZWQgODkZcXBx1lxGL097ejm3btqGsrAyjR4/GyJEj6fKElaAwJVZBLBZj8ODBKC0tRV5eHurq6pCQkEArxhCLcenSJaSmpkKtVuPJJ59ESEiIuUsiLKIwJVYlJCQEXl5eOH/+PDIyMhAQEIA+ffrQtVRiNjKZDHv27EF+fj7i4uIwceJEWoTBCtF+pvdA+5lyV0VFBS5dugSGYdC7d28EBwdTlxoxGa1Wi7NnzyIrKwtdXV2YPHkyTXnhINrPlNi8wMBAeHt7Izc3F+fPn0d5eTn69u1Lgz2I0ZWVleHAgQOoq6tD//79MXbsWNjb25u7LGJE1DK9B2qZWoeGhgZcuHABnZ2diIyMRFRUFPh8WrOEsEsmk+Hw4cO4dOkS/P39MXHiRPj6+pq7LGIAapkSch1PT0+MGTMGBQUFKCgoQGVlJRISEuDl5WXu0ogV0Gg0OH36NI4dOwahUIipU6ciPj6eLivYEApTYjP4fD6io6Ph7++PCxcuIDMzE56enoiLi6M1fkmPFRcX48CBA2hqasKgQYMwcuRI6tK1QdTNew/UzWu9KioqkJOTg66uLoSFhSE6OppG/ZL71tLSgtTUVOTm5iIoKAgTJkygqVhWiLp5CbmHwMBA+Pn5obCwEMXFxSgpKUF4eDh69epFoUruSCaT4cSJEzh//jy8vLwwffp0xMXFmbssYmYUpsSmCQQCREVFITQ0FAUFBSgsLERhYSHCw8MRFRVFoUr0ZDIZzpw5g6ysLAiFQowePRoDBw6EUEhvo4TClBAAgEgkQlxcHHr16oWrV6/i6tWrKCoqQlhYGKKiougamA1rampCZmYmcnJyIBAIMGzYMAwYMID+T5Ab0DXTe6BrprZJpVLpQ1Wr1VKo2qCamhqcOnUKV65cgaOjIwYNGoR+/fpRb4WNud8MoDC9BwpT23Z9qGo0GoSGhqJXr15wdHQ0d2nESEpLS5GRkYHS0lK4urpi6NChiIuLo+5cG0VhyhIKUwJcC9XCwkKUlJSgo6MDfn5+6NWrF81TtRIMw+DKlSvIzMxETU0NfHx8MHToUNp0nlCYsoXClFxPo9GgtLQUV69eRVtbG1xdXREcHIyQkBDq/uOgjo4OXLx4EefPn4dGo4GHhweGDh2K0NBQc5dGLASFKUsoTMmd1NXV4erVq6iqqgLDMPD390doaCj8/PxoqUILptFoUFJSgitXriAvLw98Ph+xsbHo168fbSxPbkHzTAkxMm9vb3h7e0OpVKK0tBQlJSU4ceIExGIxQkJCEBYWBqlUau4yCa5141ZUVCAvLw8FBQXo6upCYGAgxowZg7i4OOpVIAajMCXEQCKRCL169UKvXr3Q0tKCkpISlJaWIj8/H25ubggNDUVwcDC9YZtBXV0d8vLykJeXB5lMBhcXF/Tt2xfR0dHw9PQ0d3nEilA37z1QNy/pCa1Wi5qaGhQXF6OqqgoCgQBubm4ICgpCQEAAbQ5tRM3Nzfou3KamJjg4OCA6OhqxsbHw8/Mzd3mEY+iaKUsoTImhFAoFysvLUVFRgdraWjAMA09PT3h7e8PX1xeenp50jdUAWq0W1dXVKCoqQnFxMbq6uqBQKNCrVy/ExMQgODiYfr6kxyhMWUJhStikVCpRVVWlvymVSgiFQn2w+vr6wtXV1dxlWjStVov6+npUVlaisrISjY2NaGlpgUQiQVhYGMLDwxESEkLzQgkrKExZQmFKjIVhGDQ3N6OmpgY1NTWor6+HRqOBvb29Plh9fHxsfoEIjUaD2tpafXhWV1dDpVJBKBTC19cXwcHBCAwMhI+PD80JJayjMGUJhSkxFY1Gg4aGBn24NjY26gcteXp6wsPDAx4eHnBzc7PqZQ1lMhnq6+tRV1enD0+NRgORSAQ/Pz8EBAQgICAA3t7eEAgE5i6XWDkKU5ZQmBJzUSqVqK+vR319PRoaGtDY2Agej4euri6IxWJIpVK4urpCKpXqb1xpxWq1WrS3t6O1tRVtbW1obW1FQ0MD6uvr0dXVBQBwc3ODVCrVhyddWybmQPNMCeE4kUikDxLgWrdwe3s7mpub0draipaWFtTX16OwsBAajQYAIBQK9cHq5OQER0dH/c3BwQEikcgktTMMg66uLnR2dupD8/rgbG9vh1arBQDw+Xy4uLjAw8MDCQkJ8PLygqenJ5ydnU1SKyFsoDAlhCN4PB5cXFxu+XTMMAxkMpk+sHShVVlZCblcrr+fSCSCQqGAnZ0dRCLRHW92dnbg8Xjg8/ng8Xjg8XjQarVQq9V3vKlUKqjVagBAa2sr5HI5GIaBUCiEUqmEQCDQh7xuMYvrQ5+udRKuozAlhON4PB6cnZ3h7OyMwMDAG76n0Wggl8vR0dGBzs5OKBQKqFQqKJXKG27t7e36v/N4PHR2doJhGP3Nzs4OWq0WQqHwtjexWAxHR0eIxWIEBARAIpHAwcEBDg4O+hYyBSaxZpwJ0/fffx+7d+9GdnY2RCIRWlpa7vmYp556CuvXr7/ha0OHDkVGRoaRqiTEsggEAjg5OcHJycncpRBi1ThzNV+pVOLxxx/Hc889163HTZw4EdXV1frbnj17jFQhIYQQW8WZlum7774LAPjxxx+79TixWAxfX18jVEQIIYRcw5mWaU+lpqbC29sbUVFRWLhwIerq6u56f4VCgba2thtuhBBCyN1YdZhOmjQJGzduxOHDh7Fq1SpkZWVh3LhxUCgUd3zMihUrbhhpGBQUZMKKCSGEcJFZw3TZsmX6ofd3up0+fbrHx585cyamTJmCPn36YNq0adi7dy/y8/Oxe/fuOz5m6dKlN0wxKC8v7/H5CSGE2AazXjNdsmQJZs2addf7hIaGsnY+Pz8/hISEoKCg4I73EYvFtO8kIYSQbjFrmHp6epp0g97GxkaUl5fTnoaEEEJYxZlrpmVlZcjOzkZZWRk0Gg2ys7ORnZ0NmUymv09MTAy2b98O4Npi2a+99hrS09NRUlKC1NRUTJs2DZ6ennjkkUfM9TQIIYRYIc5MjXn77bdvWIChf//+AIAjR45gzJgxAIArV66gtbUVwLXJ6hcvXsRPP/2ElpYW+Pn5YezYsdi0aROt+UkIIYRVtGvMPdCuMYQQYrvuNwM4081LCCGEWCoKU0IIIcRAFKaEEEKIgShMCSGEEANRmBJCCCEGojAlhBBCDERhSgghhBiIwpQQQggxEIUpIYQQYiAKU0IIIcRAFKaEEEKIgShMCSGEEANRmBJCCCEGojAlhBBCDERhSgghhBiIwpQQQggxEIUpIYQQYiAKU0IIIcRAFKaEEEKIgShMCSGEEANRmBJCCCEGojAlhBBCDERhSgghhBiIwpQQQggxEIUpIYQQYiAKU0IIIcRAFKaEEEKIgShMCSGEEANRmBJCCCEGojAlhBBCDERhSgghhBiIwpQQQggxkNDcBVg6hmEAAG1tbWauhBBCiKnp3vt1WXAnFKb30N7eDgAICgoycyWEEELMpb29HVKp9I7f5zH3ilsbp9VqUVVVBWdnZ/B4PHOXc09tbW0ICgpCeXk5XFxczF2OQei5WCZ6LpaJnotxMAyD9vZ2+Pv7g8+/85VRapneA5/PR2BgoLnL6DYXFxez/ydkCz0Xy0TPxTLRc2Hf3VqkOjQAiRBCCDEQhSkhhBBiIApTKyMWi/HOO+9ALBabuxSD0XOxTPRcLBM9F/OiAUiEEEKIgahlSgghhBiIwpQQQggxEIUpIYQQYiAKU0IIIcRAFKYc9/7772PYsGGQSCRwdXW9r8c89dRT4PF4N9wSExONW+h96MlzYRgGy5Ytg7+/PxwcHDBmzBjk5OQYt9D70NzcjLlz50IqlUIqlWLu3LloaWm562Ms6XX5+uuvERYWBnt7ewwcOBDHjh276/2PHj2KgQMHwt7eHuHh4fjmm29MVOm9dee5pKam3vIa8Hg85OXlmbDiW6WlpWHatGnw9/cHj8fDjh077vkYS31NuvtcLPU1uRmFKccplUo8/vjjeO6557r1uIkTJ6K6ulp/27Nnj5EqvH89eS4fffQRPvnkE3z55ZfIysqCr68vHnzwQf2ayuYye/ZsZGdnY9++fdi3bx+ys7Mxd+7cez7OEl6XTZs24aWXXsJbb72Fc+fOYeTIkZg0aRLKyspue//i4mJMnjwZI0eOxLlz5/Dmm2/ihRdewNatW01c+a26+1x0rly5csPr0KtXLxNVfHsdHR3o27cvvvzyy/u6vyW/Jt19LjqW9prcgiFW4YcffmCkUul93XfevHnM9OnTjVqPIe73uWi1WsbX15f58MMP9V/r6upipFIp88033xixwrvLzc1lADAZGRn6r6WnpzMAmLy8vDs+zlJelyFDhjCLFi264WsxMTHMG2+8cdv7//3vf2diYmJu+Nqzzz7LJCYmGq3G+9Xd53LkyBEGANPc3GyC6noGALN9+/a73seSX5Pr3c9z4cJrwjAMQy1TG5Wamgpvb29ERUVh4cKFqKurM3dJ3VZcXIyamhokJyfrvyYWizF69GicPHnSbHWlp6dDKpVi6NCh+q8lJiZCKpXesy5zvy5KpRJnzpy54WcKAMnJyXesPT09/Zb7T5gwAadPn4ZKpTJarffSk+ei079/f/j5+WH8+PE4cuSIMcs0Ckt9TQxh6a8JhakNmjRpEjZu3IjDhw9j1apVyMrKwrhx46BQKMxdWrfU1NQAAHx8fG74uo+Pj/575lBTUwNvb+9bvu7t7X3XuizhdWloaIBGo+nWz7Smpua291er1WhoaDBarffSk+fi5+eH7777Dlu3bsW2bdsQHR2N8ePHIy0tzRQls8ZSX5Oe4MprQrvGWKBly5bh3Xffvet9srKyMGjQoB4df+bMmfq/9+nTB4MGDUJISAh2796NRx99tEfHvBNjPxcAt2yNxzCMUbbLu9/ncrua7qcuU74u99Ldn+nt7n+7r5tDd55LdHQ0oqOj9f9OSkpCeXk5Pv74Y4waNcqodbLNkl+T7uDKa0JhaoGWLFmCWbNm3fU+oaGhrJ3Pz88PISEhKCgoYO2YOsZ8Lr6+vgCufQr38/PTf72uru6WT+VsuN/ncuHCBdTW1t7yvfr6+m7VZczX5U48PT0hEAhuabnd7Wfq6+t72/sLhUJ4eHgYrdZ76clzuZ3ExET8/PPPbJdnVJb6mrDFEl8TClML5OnpCU9PT5Odr7GxEeXl5TcEEluM+VzCwsLg6+uLlJQU9O/fH8C162RHjx7FypUrWT/f/T6XpKQktLa2IjMzE0OGDAEAnDp1Cq2trRg2bNh9n8+Yr8udiEQiDBw4ECkpKXjkkUf0X09JScH06dNv+5ikpCTs2rXrhq8dOHAAgwYNgp2dnVHrvZuePJfbOXfunElfAzZY6mvCFot8Tcw5+okYrrS0lDl37hzz7rvvMk5OTsy5c+eYc+fOMe3t7fr7REdHM9u2bWMYhmHa29uZV199lTl58iRTXFzMHDlyhElKSmICAgKYtrY2cz0NhmG6/1wYhmE+/PBDRiqVMtu2bWMuXrzIPPHEE4yfn5/Zn8vEiROZhIQEJj09nUlPT2fi4+OZqVOn3nAfS31dfvvtN8bOzo5Zt24dk5uby7z00kuMo6MjU1JSwjAMw7zxxhvM3Llz9fcvKipiJBIJ8/LLLzO5ubnMunXrGDs7O2bLli0mrft2uvtcPv30U2b79u1Mfn4+c+nSJeaNN95gADBbt24111NgGOba/w/d7wMA5pNPPmHOnTvHlJaWMgzDrdeku8/FUl+Tm1GYcty8efMYALfcjhw5or8PAOaHH35gGIZhOjs7meTkZMbLy4uxs7NjgoODmXnz5jFlZWXmeQLX6e5zYZhr02PeeecdxtfXlxGLxcyoUaOYixcvmr74mzQ2NjJz5sxhnJ2dGWdnZ2bOnDm3DO235Nflq6++YkJCQhiRSMQMGDCAOXr0qP578+bNY0aPHn3D/VNTU5n+/fszIpGICQ0NZdasWWPiiu+sO89l5cqVTEREBGNvb8+4ubkxI0aMYHbv3m2Gqm+kmx5y823evHkMw3DrNenuc7HU1+RmtAUbIYQQYiCaGkMIIYQYiMKUEEIIMRCFKSGEEGIgClNCCCHEQBSmhBBCiIEoTAkhhBADUZgSQgghBqIwJYQQQgxEYUoIIYQYiMKUEEIIMRCFKSHkFvX19fD19cUHH3yg/9qpU6cgEolw4MABM1ZGiGWitXkJIbe1Z88ePPzwwzh58iRiYmLQv39/TJkyBatXrzZ3aYRYHApTQsgd/e1vf8PBgwcxePBgnD9/HllZWbC3tzd3WYRYHApTQsgdyeVy9OnTB+Xl5Th9+jQSEhLMXRIhFomumRJC7qioqAhVVVXQarUoLS01dzmEWCxqmRJCbkupVGLIkCHo168fYmJi8Mknn+DixYvw8fExd2mEWBwKU0LIbb3++uvYsmULzp8/DycnJ4wdOxbOzs74888/zV0aIRaHunkJIbdITU3F6tWrsWHDBri4uIDP52PDhg04fvw41qxZY+7yCLE41DIlhBBCDEQtU0IIIcRAFKaEEEKIgShMCSGEEANRmBJCCCEGojAlhBBCDERhSgghhBiIwpQQQggxEIUpIYQQYiAKU0IIIcRAFKaEEEKIgShMCSGEEANRmBJCCCEG+n/AWWAG5Ev1KgAAAABJRU5ErkJggg==\n", + "image/png": 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", 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" ] @@ -87,14 +87,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 363 ms, sys: 6.32 ms, total: 369 ms\n", - "Wall time: 366 ms\n" + "CPU times: user 3.38 s, sys: 99.6 ms, total: 3.48 s\n", + "Wall time: 474 ms\n" ] }, { "data": { "text/plain": [ - "0.005296762" + "0.004380866" ] }, "execution_count": 3, @@ -123,17 +123,17 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 5.53 s, sys: 19.9 s, total: 25.4 s\n", - "Wall time: 5.52 s\n" + "CPU times: user 2min 18s, sys: 55.3 s, total: 3min 14s\n", + "Wall time: 6.24 s\n" ] }, { "data": { "text/latex": [ - "$\\displaystyle 0.007$" + "$\\displaystyle 0.004$" ], "text/plain": [ - "0.007" + "0.004" ] }, "execution_count": 4, @@ -162,8 +162,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 336 ms, sys: 4.15 ms, total: 340 ms\n", - "Wall time: 339 ms\n" + "CPU times: user 6.03 s, sys: 125 ms, total: 6.16 s\n", + "Wall time: 391 ms\n" ] }, { @@ -268,7 +268,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Went unstable after 25525.1 orbits of the inner planet. 68% confidence interval = [6293, 103533] orbits.\n" + "Went unstable after 23130.6 orbits of the inner planet. 68% confidence interval = [5703, 93821] orbits.\n" ] } ], @@ -293,7 +293,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Estimated instability time: 59363.5 orbits of the inner planet. 68% confidence interval = [17008, 678384] orbits.\n" + "Estimated instability time: 51389.9 orbits of the inner planet. 68% confidence interval = [16099, 451891] orbits.\n" ] } ], @@ -458,7 +458,7 @@ { "data": { "text/plain": [ - "array([0.02728084, 0. , 0. , 0. ], dtype=float32)" + "array([0.03285807, 0. , 0. , 0. ], dtype=float32)" ] }, "execution_count": 16, @@ -491,10 +491,10 @@ { "data": { "text/latex": [ - "$\\displaystyle \\left( 80148.8814165111, \\ 19759.9405558749, \\ 325094.256946439\\right)$" + "$\\displaystyle \\left( 72630.1760994445, \\ 17906.2756325891, \\ 294597.413134624\\right)$" ], "text/plain": [ - "(80148.88141651111, 19759.940555874913, 325094.2569464386)" + "(72630.17609944448, 17906.275632589142, 294597.41313462367)" ] }, "execution_count": 17, @@ -522,7 +522,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/Users/dtamayo/Documents/workspace/rebound/rebound/simulationarchive.py:144: RuntimeWarning: The simulation might not be synchronized. You can manually synchronize it by calling sim.integrator_synchronize().\n", + "/home/miniconda3/envs/ethadhani/lib/python3.10/site-packages/rebound/simulationarchive.py:144: RuntimeWarning: The simulation might not be synchronized. You can manually synchronize it by calling sim.integrator_synchronize().\n", " warnings.warn(\"The simulation might not be synchronized. You can manually synchronize it by calling sim.integrator_synchronize().\", RuntimeWarning)\n" ] }, @@ -538,7 +538,7 @@ }, { "data": { - "image/png": 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\n", 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", 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\n", + "image/png": 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", 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" ] @@ -629,18 +629,11 @@ "\n", "We have tested that the `FeatureClassifier` trained with a slightly different timestep than our N-body integrations (thus sampling different chaotic realizations) has the same performance as one trained using the exact same timestep and trajectories." ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { "kernelspec": { - "display_name": "Python 3 (ipykernel)", + "display_name": "ethadhani", "language": "python", "name": "python3" }, @@ -654,7 +647,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.4" + "version": "3.10.13" } }, "nbformat": 4, diff --git a/jupyter_examples/GiantImpactPhase.ipynb b/jupyter_examples/GiantImpactPhase.ipynb index f48c483..2002f41 100644 --- a/jupyter_examples/GiantImpactPhase.ipynb +++ b/jupyter_examples/GiantImpactPhase.ipynb @@ -73,7 +73,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 3, @@ -82,7 +82,7 @@ }, { "data": { - "image/png": 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", + "image/png": 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", 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" ] @@ -105,7 +105,7 @@ }, { "cell_type": "code", - "execution_count": 4, + "execution_count": null, "id": "f0e627fc", "metadata": { "scrolled": true @@ -118,68 +118,33 @@ "Number of sims to update: 50 \n", "\n", "Predicting trio instability times\n", - "Done: 7.8947858810424805 s\n", + "Done: 16.80104112625122 s\n", "\n", "Predicting instability outcomes\n", - "Done: 14.117991924285889 s\n", + "Done: 29.131821870803833 s\n", "\n", "Number of sims to update: 50 \n", "\n", "Predicting trio instability times\n", - "Done: 6.658188104629517 s\n", + "Done: 10.284832000732422 s\n", "\n", "Predicting instability outcomes\n", - "Done: 12.650990009307861 s\n", + "Done: 17.56111788749695 s\n", "\n", "Number of sims to update: 50 \n", "\n", "Predicting trio instability times\n", - "Done: 5.953311920166016 s\n", + "Done: 11.758912324905396 s\n", "\n", "Predicting instability outcomes\n", - "Done: 12.100712776184082 s\n", + "Done: 20.914249181747437 s\n", "\n", "Number of sims to update: 50 \n", "\n", "Predicting trio instability times\n", - "Done: 8.941041946411133 s\n", + "Done: 14.475783109664917 s\n", "\n", - "Predicting instability outcomes\n", - "Done: 11.327437162399292 s\n", - "\n", - "Number of sims to update: 50 \n", - "\n", - "Predicting trio instability times\n", - "Done: 10.340599060058594 s\n", - "\n", - "Predicting instability outcomes\n", - "Done: 9.10335111618042 s\n", - "\n", - "Number of sims to update: 47 \n", - "\n", - "Predicting trio instability times\n", - "Done: 9.602891683578491 s\n", - "\n", - "Predicting instability outcomes\n", - "Done: 6.175670862197876 s\n", - "\n", - "Number of sims to update: 36 \n", - "\n", - "Predicting trio instability times\n", - "Done: 5.956201076507568 s\n", - "\n", - "Predicting instability outcomes\n", - "Done: 1.9711651802062988 s\n", - "\n", - "Number of sims to update: 13 \n", - "\n", - "Predicting trio instability times\n", - "Done: 2.189730644226074 s\n", - "\n", - "Predicting instability outcomes\n", - "Done: 1.0967254638671875e-05 s\n", - "\n", - "Total time: 125.10541415214539 s\n" + "Predicting instability outcomes\n" ] } ], @@ -269,7 +234,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3 (ipykernel)", + "display_name": "ethadhani", "language": "python", "name": "python3" }, @@ -283,7 +248,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.11.4" + "version": "3.10.13" } }, "nbformat": 4, diff --git a/jupyter_examples/GridOfStabilityPredictions.ipynb b/jupyter_examples/GridOfStabilityPredictions.ipynb index 04e1916..ae88bf7 100644 --- a/jupyter_examples/GridOfStabilityPredictions.ipynb +++ b/jupyter_examples/GridOfStabilityPredictions.ipynb @@ -21,7 +21,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 1, @@ -30,7 +30,7 @@ }, { "data": { - "image/png": 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\n", + "image/png": 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", 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" ] @@ -146,8 +146,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 28.3 s, sys: 7.57 s, total: 35.8 s\n", - "Wall time: 6.49 s\n" + "CPU times: user 1min 7s, sys: 4.45 s, total: 1min 12s\n", + "Wall time: 14.5 s\n" ] } ], @@ -182,7 +182,7 @@ }, { "data": { - "image/png": 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\n", 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", 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" ] @@ -213,18 +213,11 @@ "\n", "Note that this is because we've ignored all the pericenter orientations and phases (which default to 0 in REBOUND when we don't set them explicitly), so we never actually place our systems IN resonance. In this case resonances are strongly destabilizing. If we instead slowly migrated systems into resonance (see, e.g., https://github.com/dtamayo/trappist for example code), we should see these stable islands." ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { "kernelspec": { - "display_name": "Python 3 (ipykernel)", + "display_name": "ethadhani", "language": "python", "name": "python3" }, @@ -238,7 +231,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.4" + "version": "3.10.13" } }, "nbformat": 4, diff --git a/jupyter_examples/QuickStart.ipynb b/jupyter_examples/QuickStart.ipynb index af4ca80..26465fb 100644 --- a/jupyter_examples/QuickStart.ipynb +++ b/jupyter_examples/QuickStart.ipynb @@ -27,7 +27,7 @@ "outputs": [ { "data": { - "image/png": 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\n", + "image/png": 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", "text/plain": [ "
" ] @@ -87,14 +87,14 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 548 ms, sys: 159 ms, total: 708 ms\n", - "Wall time: 359 ms\n" + "CPU times: user 4.41 s, sys: 166 ms, total: 4.57 s\n", + "Wall time: 506 ms\n" ] }, { "data": { "text/plain": [ - "0.008615661" + "0.008940312" ] }, "execution_count": 3, @@ -124,26 +124,26 @@ { "data": { "text/plain": [ - "([OrderedDict([('EMcrossnear', 0.2514774632841199),\n", - " ('EMfracstdnear', 0.050747198892617716),\n", - " ('EPstdnear', 0.0125371045437882),\n", - " ('MMRstrengthnear', 0.609862725871568),\n", - " ('EMcrossfar', 0.26844697165875697),\n", - " ('EMfracstdfar', 0.08025175275345586),\n", - " ('EPstdfar', 0.013481778236205413),\n", - " ('MMRstrengthfar', 0.015537017584178569),\n", - " ('MEGNO', 6.129018954007963),\n", - " ('MEGNOstd', 1.5626539543066962)]),\n", - " OrderedDict([('EMcrossnear', 0.26844697165875697),\n", - " ('EMfracstdnear', 0.08025175275345586),\n", - " ('EPstdnear', 0.013481778236205413),\n", - " ('MMRstrengthnear', 0.015537017584178569),\n", + "([OrderedDict([('EMcrossnear', 0.25147746328412046),\n", + " ('EMfracstdnear', 0.05074719901234224),\n", + " ('EPstdnear', 0.01253710198425132),\n", + " ('MMRstrengthnear', 0.6098627261371655),\n", + " ('EMcrossfar', 0.2684469716587564),\n", + " ('EMfracstdfar', 0.08025177611798755),\n", + " ('EPstdfar', 0.013481773489721986),\n", + " ('MMRstrengthfar', 0.015537017617854676),\n", + " ('MEGNO', 6.850878520625518),\n", + " ('MEGNOstd', 1.8517061396916448)]),\n", + " OrderedDict([('EMcrossnear', 0.2684469716587564),\n", + " ('EMfracstdnear', 0.08025177611798755),\n", + " ('EPstdnear', 0.013481773489721986),\n", + " ('MMRstrengthnear', 0.015537017617854676),\n", " ('EMcrossfar', 0.4522109539032094),\n", - " ('EMfracstdfar', 0.055607895744957586),\n", - " ('EPstdfar', 0.008676383142065626),\n", + " ('EMfracstdfar', 0.055607916757028066),\n", + " ('EPstdfar', 0.008676373013226053),\n", " ('MMRstrengthfar', nan),\n", - " ('MEGNO', 6.129018954007963),\n", - " ('MEGNOstd', 1.5626539543066962)])],\n", + " ('MEGNO', 6.850878520625518),\n", + " ('MEGNOstd', 1.8517061396916448)])],\n", " True)" ] }, @@ -192,8 +192,8 @@ "name": "stdout", "output_type": "stream", "text": [ - "CPU times: user 5.52 s, sys: 19.5 s, total: 25 s\n", - "Wall time: 5.44 s\n" + "CPU times: user 2min 15s, sys: 53.9 s, total: 3min 9s\n", + "Wall time: 6.29 s\n" ] } ], @@ -226,7 +226,7 @@ }, { "data": { - "image/png": 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\n", + "image/png": 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"text/plain": [ "
" ] @@ -265,9 +265,9 @@ "name": "stdout", "output_type": "stream", "text": [ - "Median instability time = 2.038e+06 orbits\n", - "16th percentile instability time = 1.033e+05 orbits\n", - "84th percentile instability time = 6.922e+07 orbits\n" + "Median instability time = 1.952e+06 orbits\n", + "16th percentile instability time = 1.282e+05 orbits\n", + "84th percentile instability time = 4.790e+07 orbits\n" ] } ], @@ -301,7 +301,7 @@ }, { "cell_type": "code", - "execution_count": 10, + "execution_count": null, "metadata": {}, "outputs": [ { @@ -309,8 +309,8 @@ "output_type": "stream", "text": [ "Probability of regular (non-chaotic) motion: 0.00\n", - "CPU times: user 174 ms, sys: 4.91 ms, total: 178 ms\n", - "Wall time: 59.4 ms\n" + "CPU times: user 2.2 s, sys: 63.8 ms, total: 2.26 s\n", + "Wall time: 79.1 ms\n" ] } ], @@ -331,128 +331,11 @@ "However, the widths of individual MMRs are still expanding and contracting adiabatically, and can drive chaos depending on the exact period ratios, eccentricities and angles of the system in question.\n", "In this case, our simple estimated probability for regular motion (less than 1) corresponds to the fraction of period ratio space that is not covered by these MMRs (see discussion and figures in the paper)" ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "# Giant Impact Phase Emulator\n", - "\n", - "In Lammers et al. (2024), we train machine learning models to predict the orbital outcomes of dynamical instabilities, allowing us to rapidly simulate the giant impact phase by repeatedly predicting a time from one instability to the next using the `DeepRegressor`, and predicting the resulting orbital architecture using the new models. This is conveniently packaged in the `GiantImpactPhaseEmulator`:" - ] - }, - { - "cell_type": "code", - "execution_count": 11, - "metadata": {}, - "outputs": [], - "source": [ - "from spock import GiantImpactPhaseEmulator\n", - "emulator = GiantImpactPhaseEmulator()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We set up an overly packed (unstable) configuration of 5 equal mass planets, all with the same eccentricity of 0.03:" - ] - }, - { - "cell_type": "code", - "execution_count": 12, - "metadata": {}, - "outputs": [], - "source": [ - "sim = rebound.Simulation()\n", - "sim.add(m=1.)\n", - "sim.add(m=1.e-5, P=1, e=0.03, pomega=2., l=0.5)\n", - "sim.add(m=1.e-5, P=1.2, e=0.03, pomega=3., l=3.)\n", - "sim.add(m=1.e-5, P=1.5, e=0.03, pomega=1.5, l=2.)\n", - "sim.add(m=1.e-5, P=2.2, e=0.03, pomega=0.5, l=5.0)\n", - "sim.add(m=1.e-5, P=2.5, e=0.03, pomega=5.0, l=1.5)\n", - "sim.move_to_com()" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We can then predict the final configuration (by default after $10^9$ orbits):" - ] - }, - { - "cell_type": "code", - "execution_count": 13, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "CPU times: user 3.77 s, sys: 9.81 s, total: 13.6 s\n", - "Wall time: 3.53 s\n" - ] - } - ], - "source": [ - "%%time\n", - "pred_sim = emulator.predict(sim, tmaxs=1e8)" - ] - }, - { - "cell_type": "markdown", - "metadata": {}, - "source": [ - "We see from the masses that the resulting innermost and outermost planets underwent a merger, and all the periods and eccentricities changed:" - ] - }, - { - "cell_type": "code", - "execution_count": 14, - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "t = 100000000.0 \n", - "\n", - "Predicted m1 = 2e-05\n", - "Predicted P1 = 1.142316821203167\n", - "Predicted e1 = 0.024555182096044657 \n", - "\n", - "Predicted m2 = 1e-05\n", - "Predicted P2 = 2.2413176033013955\n", - "Predicted e2 = 0.028255647996163508 \n", - "\n", - "Predicted m3 = 2e-05\n", - "Predicted P3 = 3.515494745388064\n", - "Predicted e3 = 0.01811861148498661 \n", - "\n" - ] - } - ], - "source": [ - "ps = pred_sim.particles\n", - "print('t =', pred_sim.t, '\\n')\n", - "for i in range(1, len(ps)):\n", - " print('Predicted m' + str(i), '=', ps[i].m)\n", - " print('Predicted P' + str(i), '=', ps[i].P)\n", - " print('Predicted e' + str(i), '=', ps[i].e, '\\n')" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { "kernelspec": { - "display_name": "Python 3 (ipykernel)", + "display_name": "ethadhani", "language": "python", "name": "python3" }, @@ -466,7 +349,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.10.4" + "version": "3.10.13" } }, "nbformat": 4, diff --git a/paper_plots/cleanVnonClean.ipynb b/paper_plots/cleanVnonClean.ipynb new file mode 100644 index 0000000..dd82504 --- /dev/null +++ b/paper_plots/cleanVnonClean.ipynb @@ -0,0 +1,744 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# We will test a model trained using filtered and clean data verses the original dataset" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "from sklearn import metrics\n", + "import xgboost as xgb\n", + "from xgboost.sklearn import XGBClassifier\n", + "from hyperopt import hp, fmin, tpe, STATUS_OK, Trials\n", + "import hyperopt\n", + "import sys\n", + "sys.path.append('../spock/')\n", + "try:\n", + " plt.style.use('paper')\n", + "except:\n", + " pass\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "#load datapath for clean training data that is generated\n", + "datapath = '../../cleanData/csvs/resonant/'\n", + "clean = pd.read_csv(datapath+'oldReboundClean.csv')\n", + "dirty = pd.read_csv(datapath+'oldReboundDirty.csv')\n", + "#remove junk columns\n", + "dirty = dirty.drop(columns=['Unnamed: 0'])\n", + "clean = clean.drop(columns=['Unnamed: 0','Unnamed: 0.1'])" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "def train_test(dataset,features):\n", + " '''divides the dataset into 80% training and 20% testing and returns training/testing sets'''\n", + " Nrows = int(0.8*dataset.shape[0])\n", + " train = dataset.iloc[:Nrows, :]\n", + " test = dataset.iloc[Nrows:, :]\n", + " #remove testing systems that go unstable in 1e4 orbits\n", + "\n", + " test = test.drop(test[test['InitialStable']==False].index)\n", + " return train[features], train['Stable'], test[features], test['Stable']" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "near = ['EMcrossnear', 'EMfracstdnear', 'EPstdnear', 'MMRstrengthnear']\n", + "far = ['EMcrossfar', 'EMfracstdfar', 'EPstdfar', 'MMRstrengthfar']\n", + "megno = ['MEGNO', 'MEGNOstd']\n", + "\n", + "features = near + far + megno \n", + "\n", + "trainXC, trainYC, testXC, testYC = train_test(clean, features)\n", + "trainXD, trainYD, testXD, testYD = train_test(dirty, features)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Train and comparison\n", + "We will used originally derived model parameters" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn import metrics\n", + "from sklearn.metrics import roc_curve, confusion_matrix, auc\n", + "def ROC_curve( model, x,y):\n", + " preds = model.predict_proba(x)[:,1]\n", + " fpr, tpr, ROCthresholds = roc_curve(y, preds)\n", + " roc_auc = metrics.roc_auc_score(y, preds)\n", + " return roc_auc, fpr, tpr, ROCthresholds" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "modelC = XGBClassifier(learning_rate = 0.05, \n", + " max_depth = 13, \n", + " subsample = 0.95,\n", + " min_child_weight = 5,\n", + " n_estimators = 100,\n", + " )\n", + "modelD = XGBClassifier(learning_rate = 0.05, \n", + " max_depth = 13, \n", + " subsample = 0.95,\n", + " min_child_weight = 5,\n", + " n_estimators = 100,\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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+       "              multi_strategy=None, n_estimators=100, n_jobs=None,\n",
+       "              num_parallel_tree=None, random_state=None, ...)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" + ], + "text/plain": [ + "XGBClassifier(base_score=None, booster=None, callbacks=None,\n", + " colsample_bylevel=None, colsample_bynode=None,\n", + " colsample_bytree=None, device=None, early_stopping_rounds=None,\n", + " enable_categorical=False, eval_metric=None, feature_types=None,\n", + " gamma=None, grow_policy=None, importance_type=None,\n", + " interaction_constraints=None, learning_rate=0.05, max_bin=None,\n", + " max_cat_threshold=None, max_cat_to_onehot=None,\n", + " max_delta_step=None, max_depth=13, max_leaves=None,\n", + " min_child_weight=5, missing=nan, monotone_constraints=None,\n", + " multi_strategy=None, n_estimators=100, n_jobs=None,\n", + " num_parallel_tree=None, random_state=None, ...)" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "modelC.fit(trainXC,trainYC)\n", + "modelD.fit(trainXD, trainYD)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Dirty data tests**" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'ROC curve for model using dirty data (AUC = 0.949)')" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "roc_auc, fpr, tpr, ROCthresholds = ROC_curve(modelD, testXD, testYD)\n", + "\n", + "fig, ax = plt.subplots()\n", + "ax.plot(fpr, tpr)\n", + "ax.plot([0, 1], [0, 1], 'k--')\n", + "ax.set_xlim([0.0, 1.0])\n", + "ax.set_ylim([0.0, 1.0])\n", + "ax.set_xlabel('False Positive Rate')\n", + "ax.set_ylabel('True Positive Rate')\n", + "ax.set_title('ROC curve for model using dirty data (AUC = {0:.3f})'.format(roc_auc))" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "AUC: 0.9489954178187129 \n", + "FPR: 0.14488031081589173\n" + ] + } + ], + "source": [ + "tprthreshindex = np.where(tpr >=0.9)[0][0]\n", + "falsePos = fpr[tprthreshindex]\n", + "print(f\"AUC: {roc_auc} \\nFPR: {falsePos}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**Clean data tests**" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'ROC curve for model using clean data (AUC = 0.943)')" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "roc_auc, fpr, tpr, ROCthresholds = ROC_curve(modelC, testXC, testYC)\n", + "\n", + "fig, ax = plt.subplots()\n", + "ax.plot(fpr, tpr)\n", + "ax.plot([0, 1], [0, 1], 'k--')\n", + "ax.set_xlim([0.0, 1.0])\n", + "ax.set_ylim([0.0, 1.0])\n", + "ax.set_xlabel('False Positive Rate')\n", + "ax.set_ylabel('True Positive Rate')\n", + "ax.set_title('ROC curve for model using clean data (AUC = {0:.3f})'.format(roc_auc))" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "AUC: 0.9426176349918679 \n", + "FPR: 0.1643159869380949\n" + ] + } + ], + "source": [ + "tprthreshindex = np.where(tpr >=0.9)[0][0]\n", + "falsePos = fpr[tprthreshindex]\n", + "print(f\"AUC: {roc_auc} \\nFPR: {falsePos}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Results\n", + "We can see that the model using the clean dataset performs notably worse, this is expected since multiple systems are duplicated in the dirty dataset, giving the model a distinct advantage." + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "ethadhani", + "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": "3.10.13" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/paper_plots/compareTsec.ipynb b/paper_plots/compareTsec.ipynb new file mode 100644 index 0000000..f4c800f --- /dev/null +++ b/paper_plots/compareTsec.ipynb @@ -0,0 +1,292 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Ablation study of Tsec integration and Tsec feature" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**We start by importing datasets generated when integrating to Tsec and when integrating to 1e4 orbits**" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "from sklearn import metrics\n", + "import xgboost as xgb\n", + "from xgboost.sklearn import XGBClassifier\n", + "from hyperopt import hp, fmin, tpe, STATUS_OK, Trials\n", + "import hyperopt\n", + "import sys\n", + "sys.path.append('../spock/')\n", + "try:\n", + " plt.style.use('paper')\n", + "except:\n", + " pass\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "#load datapath for clean training data that is generated\n", + "datapath = '../../cleanData/csvs/resonant/'\n", + "oldData = pd.read_csv(datapath+'1e4data.csv')\n", + "TsecData = pd.read_csv(datapath+'Tsecdata.csv')\n", + "#remove junk columns\n", + "oldData = oldData.drop(columns=['Unnamed: 0','Unnamed: 0.1'])\n", + "TsecData = TsecData.drop(columns=['Unnamed: 0','Unnamed: 0.1'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Define helper functions" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "def train_test(dataset,features):\n", + " '''divides the dataset into 80% training and 20% testing and returns training/testing sets'''\n", + " Nrows = int(0.8*dataset.shape[0])\n", + " train = dataset.iloc[:Nrows, :]\n", + " test = dataset.iloc[Nrows:, :]\n", + " #remove testing systems that go unstable in 1e4 orbits\n", + "\n", + " test = test.drop(test[test['InitialStable']==False].index)\n", + " return train[features], train['Stable'], test[features], test['Stable']" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can create sub datasets to consider each combination of Tsec feature addition and integration" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "near = ['EMcrossnear', 'EMfracstdnear', 'EPstdnear', 'MMRstrengthnear']\n", + "far = ['EMcrossfar', 'EMfracstdfar', 'EPstdfar', 'MMRstrengthfar']\n", + "megno = ['MEGNO', 'MEGNOstd']\n", + "\n", + "TsecFeat = near + far + megno + ['Tsec']\n", + "oldFeat = near + far + megno \n", + "\n", + "train1e4X, train1e4Y, test1e4X, test1e4Y = train_test(oldData, oldFeat)\n", + "train1e4TsecX, train1e4TsecY, test1e4TsecX, test1e4TsecY = train_test(oldData, TsecFeat)\n", + "trainTintX, trainTintY, testTintX, testTintY = train_test(TsecData, oldFeat)\n", + "trainTsecX, trainTsecY, testTsecX, testTsecY = train_test(TsecData, TsecFeat)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can calculating the training balance to account for frequency bias with each dataset" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can define some helper functions" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn import metrics\n", + "from sklearn.metrics import roc_curve, confusion_matrix, auc\n", + "def ROC_curve( model, x,y):\n", + " preds = model.predict_proba(x)[:,1]\n", + " fpr, tpr, ROCthresholds = roc_curve(y, preds)\n", + " roc_auc = metrics.roc_auc_score(y, preds)\n", + " return roc_auc, fpr, tpr, ROCthresholds" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "def getPreformance(trainX, trainY, testX, testY, label):\n", + " model = XGBClassifier(learning_rate = 0.05, \n", + " max_depth = 13, \n", + " subsample = 0.95,\n", + " min_child_weight = 5,\n", + " n_estimators = 100,\n", + " )\n", + " model.fit(trainX,trainY)\n", + "\n", + " roc_auc, fpr, tpr, ROCthresholds = ROC_curve(model, testX, testY)\n", + "\n", + " tprthreshindex = np.where(tpr >=0.9)[0][0]\n", + " falsePos = fpr[tprthreshindex]\n", + "\n", + " return label, roc_auc, falsePos" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**We can now collect the AUC of a model using each permutation of Tsec feature and integration.**\n", + "Note, FPR (false positive rate) is evaluated when TPR is 0.9" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [], + "source": [ + "results = np.array([getPreformance(train1e4X, train1e4Y, test1e4X, test1e4Y, 'Int to 1e4 with old features'),\n", + "getPreformance(train1e4TsecX, train1e4TsecY, test1e4TsecX, test1e4TsecY, 'Int to 1e4 with Tsec as feature'),\n", + "getPreformance(trainTintX, trainTintY, testTintX, testTintY, 'Int to Tsec with old features'),\n", + "getPreformance(trainTsecX, trainTsecY, testTsecX, testTsecY, 'Int to Tsec with Tsec as feature')])" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [], + "source": [ + "displayResults = pd.DataFrame(results, columns = ['Model comparisons', 'AUC', 'FPR'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Displayed sorted model comparisons" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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Model comparisonsAUCFPR
2Int to Tsec with old features0.94213109843627930.16461506363446693
0Int to 1e4 with old features0.94296558857412560.1604654403567447
1Int to 1e4 with Tsec as feature0.94441323645147820.15942028985507245
3Int to Tsec with Tsec as feature0.95010932995697340.14229084080951387
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" + ], + "text/plain": [ + " Model comparisons AUC FPR\n", + "2 Int to Tsec with old features 0.9421310984362793 0.16461506363446693\n", + "0 Int to 1e4 with old features 0.9429655885741256 0.1604654403567447\n", + "1 Int to 1e4 with Tsec as feature 0.9444132364514782 0.15942028985507245\n", + "3 Int to Tsec with Tsec as feature 0.9501093299569734 0.14229084080951387" + ] + }, + "execution_count": 9, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "displayResults.sort_values(by='AUC', ascending=True, inplace=False)" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "ethadhani", + "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": "3.10.13" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/paper_plots/oldReboundNewRebound.ipynb b/paper_plots/oldReboundNewRebound.ipynb new file mode 100644 index 0000000..8ee85af --- /dev/null +++ b/paper_plots/oldReboundNewRebound.ipynb @@ -0,0 +1,769 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# We will test the impact of using a new version of REBOUND to generate data" + ] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "from sklearn import metrics\n", + "import xgboost as xgb\n", + "from xgboost.sklearn import XGBClassifier\n", + "from hyperopt import hp, fmin, tpe, STATUS_OK, Trials\n", + "import hyperopt\n", + "import sys\n", + "sys.path.append('../spock/')\n", + "try:\n", + " plt.style.use('paper')\n", + "except:\n", + " pass\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "#load datapath for clean training data that is generated\n", + "datapath = '../../cleanData/csvs/resonant/'\n", + "old = pd.read_csv(datapath+'oldReboundClean.csv')\n", + "new = pd.read_csv(datapath+'1e4data.csv')\n", + "\n", + "#remove junk columns\n", + "old = old.drop(columns=['Unnamed: 0','Unnamed: 0.1'])\n", + "new = new.drop(columns=['Unnamed: 0','Unnamed: 0.1'])\n" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "\n", + "def train_test(dataset,features):\n", + " '''divides the dataset into 80% training and 20% testing and returns training/testing sets'''\n", + " Nrows = int(0.8*dataset.shape[0])\n", + " train = dataset.iloc[:Nrows, :]\n", + " test = dataset.iloc[Nrows:, :]\n", + " #remove testing systems that go unstable in 1e4 orbits\n", + "\n", + " test = test.drop(test[test['InitialStable']==False].index)\n", + " return train[features], train['Stable'], test[features], test['Stable']" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "near = ['EMcrossnear', 'EMfracstdnear', 'EPstdnear', 'MMRstrengthnear']\n", + "far = ['EMcrossfar', 'EMfracstdfar', 'EPstdfar', 'MMRstrengthfar']\n", + "megno = ['MEGNO', 'MEGNOstd']\n", + "\n", + "features = near + far + megno\n", + "\n", + "trainXO, trainYO, testXO, testYO = train_test(old, features)\n", + "trainXN, trainYN, testXN, testYN = train_test(new, features)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn import metrics\n", + "from sklearn.metrics import roc_curve, confusion_matrix, auc\n", + "def ROC_curve( model, x,y):\n", + " preds = model.predict_proba(x)[:,1]\n", + " fpr, tpr, ROCthresholds = roc_curve(y, preds)\n", + " roc_auc = metrics.roc_auc_score(y, preds)\n", + " return roc_auc, fpr, tpr, ROCthresholds" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "modelO = XGBClassifier(learning_rate = 0.05, \n", + " max_depth = 13, \n", + " subsample = 0.95,\n", + " min_child_weight = 5,\n", + " n_estimators = 100,\n", + " )\n", + "modelN = XGBClassifier(learning_rate = 0.05, \n", + " max_depth = 13, \n", + " subsample = 0.95,\n", + " min_child_weight = 5,\n", + " n_estimators = 100,\n", + " )" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
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" + ], + "text/plain": [ + "XGBClassifier(base_score=None, booster=None, callbacks=None,\n", + " colsample_bylevel=None, colsample_bynode=None,\n", + " colsample_bytree=None, device=None, early_stopping_rounds=None,\n", + " enable_categorical=False, eval_metric=None, feature_types=None,\n", + " gamma=None, grow_policy=None, importance_type=None,\n", + " interaction_constraints=None, learning_rate=0.05, max_bin=None,\n", + " max_cat_threshold=None, max_cat_to_onehot=None,\n", + " max_delta_step=None, max_depth=13, max_leaves=None,\n", + " min_child_weight=5, missing=nan, monotone_constraints=None,\n", + " multi_strategy=None, n_estimators=100, n_jobs=None,\n", + " num_parallel_tree=None, random_state=None, ...)" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "modelO.fit(trainXO,trainYO)\n", + "modelN.fit(trainXN, trainYN)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Comparison" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'ROC curve using old rebound (AUC = 0.943)')" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "roc_auc, fpr, tpr, ROCthresholds = ROC_curve(modelO, testXO, testYO)\n", + "\n", + "fig, ax = plt.subplots()\n", + "ax.plot(fpr, tpr)\n", + "ax.plot([0, 1], [0, 1], 'k--')\n", + "ax.set_xlim([0.0, 1.0])\n", + "ax.set_ylim([0.0, 1.0])\n", + "ax.set_xlabel('False Positive Rate')\n", + "ax.set_ylabel('True Positive Rate')\n", + "ax.set_title('ROC curve using old rebound (AUC = {0:.3f})'.format(roc_auc))" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "AUC: 0.9426176349918679 \n", + "FPR: 0.1643159869380949\n" + ] + } + ], + "source": [ + "tprthreshindex = np.where(tpr >=0.9)[0][0]\n", + "falsePos = fpr[tprthreshindex]\n", + "print(f\"AUC: {roc_auc} \\nFPR: {falsePos}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Old rebound AUC\n", + "0.9426176349918679\n" + ] + } + ], + "source": [ + "print(\"Old rebound AUC\")\n", + "print(roc_auc)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'ROC curve using new rebound (AUC = 0.943)')" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "roc_auc, fpr, tpr, ROCthresholds = ROC_curve(modelN, testXN, testYN)\n", + "\n", + "fig, ax = plt.subplots()\n", + "ax.plot(fpr, tpr)\n", + "ax.plot([0, 1], [0, 1], 'k--')\n", + "ax.set_xlim([0.0, 1.0])\n", + "ax.set_ylim([0.0, 1.0])\n", + "ax.set_xlabel('False Positive Rate')\n", + "ax.set_ylabel('True Positive Rate')\n", + "ax.set_title('ROC curve using new rebound (AUC = {0:.3f})'.format(roc_auc))" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "AUC: 0.9429655885741256 \n", + "FPR: 0.1604654403567447\n" + ] + } + ], + "source": [ + "tprthreshindex = np.where(tpr >=0.9)[0][0]\n", + "falsePos = fpr[tprthreshindex]\n", + "print(f\"AUC: {roc_auc} \\nFPR: {falsePos}\")" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "New rebound AUC\n", + "0.9429655885741256\n" + ] + } + ], + "source": [ + "print(\"New rebound AUC\")\n", + "print(roc_auc)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Results\n", + "Updated rebound with updated MEGNO calculations has little impact on model" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "ethadhani", + "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": "3.10.13" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/paper_plots/testUnstable.ipynb b/paper_plots/testUnstable.ipynb new file mode 100644 index 0000000..68a974c --- /dev/null +++ b/paper_plots/testUnstable.ipynb @@ -0,0 +1,762 @@ +{ + "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Testing on only systems that are stable during short integration\n", + "**Previous testing of model has included systems which go unstable during the short integration phase. We have decided that this provides a false sense of model performance and are re establishing accuracy metrics to not include said systems.**" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [] + }, + { + "cell_type": "code", + "execution_count": 1, + "metadata": {}, + "outputs": [], + "source": [ + "import numpy as np\n", + "import matplotlib.pyplot as plt\n", + "import pandas as pd\n", + "from sklearn import metrics\n", + "import xgboost as xgb\n", + "from xgboost.sklearn import XGBClassifier\n", + "from hyperopt import hp, fmin, tpe, STATUS_OK, Trials\n", + "import hyperopt\n", + "import sys\n", + "sys.path.append('../spock/')\n", + "try:\n", + " plt.style.use('paper')\n", + "except:\n", + " pass\n", + "%matplotlib inline" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We will import the dataset and train using previously derived model parameters " + ] + }, + { + "cell_type": "code", + "execution_count": 2, + "metadata": {}, + "outputs": [], + "source": [ + "#load datapath for clean training data that is generated\n", + "datapath = '../../cleanData/csvs/resonant/'\n", + "dataset = pd.read_csv(datapath+'oldReboundDirty.csv')\n", + "#remove junk columns\n", + "dataset = dataset.drop(columns=['Unnamed: 0'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "One of the below functions removes systems that are initially stable from the testing set, while the other does not" + ] + }, + { + "cell_type": "code", + "execution_count": 3, + "metadata": {}, + "outputs": [], + "source": [ + "def train_test_old(dataset,features):\n", + " '''divides the dataset into 80% training and 20% testing and returns training/testing sets'''\n", + " Nrows = int(0.8*dataset.shape[0])\n", + " train = dataset.iloc[:Nrows, :]\n", + " test = dataset.iloc[Nrows:, :]\n", + " #remove testing systems that go unstable in 1e4 orbits\n", + " return train[features], train['Stable'], test[features], test['Stable']\n", + "\n", + "def train_test_stable(dataset,features):\n", + " '''divides the dataset into 80% training and 20% testing and returns training/testing sets'''\n", + " Nrows = int(0.8*dataset.shape[0])\n", + " train = dataset.iloc[:Nrows, :]\n", + " test = dataset.iloc[Nrows:, :]\n", + " #remove testing systems that go unstable in 1e4 orbits\n", + "\n", + " test = test.drop(test[test['InitialStable']==False].index)\n", + " return train[features], train['Stable'], test[features], test['Stable']" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "near = ['EMcrossnear', 'EMfracstdnear', 'EPstdnear', 'MMRstrengthnear']\n", + "far = ['EMcrossfar', 'EMfracstdfar', 'EPstdfar', 'MMRstrengthfar']\n", + "megno = ['MEGNO', 'MEGNOstd']\n", + "\n", + "features = near + far + megno\n", + "\n", + "trainX, trainY, testXold, testYold = train_test_old(dataset, features)\n", + "trainX, trainY, testXstable, testYstable = train_test_stable(dataset, features)" + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn import metrics\n", + "from sklearn.metrics import roc_curve, confusion_matrix, auc\n", + "def ROC_curve( model, x,y):\n", + " preds = model.predict_proba(x)[:,1]\n", + " fpr, tpr, ROCthresholds = roc_curve(y, preds)\n", + " roc_auc = metrics.roc_auc_score(y, preds)\n", + " return roc_auc, fpr, tpr, ROCthresholds" + ] + }, + { + "cell_type": "code", + "execution_count": 6, + "metadata": {}, + "outputs": [], + "source": [ + "model = XGBClassifier(learning_rate = 0.05, \n", + " max_depth = 13, \n", + " subsample = 0.95,\n", + " min_child_weight = 5,\n", + " n_estimators = 100,\n", + " )" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "The training data for each example is the same" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "metadata": {}, + "outputs": [ + { + "data": { + "text/html": [ + "
XGBClassifier(base_score=None, booster=None, callbacks=None,\n",
+       "              colsample_bylevel=None, colsample_bynode=None,\n",
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+       "              enable_categorical=False, eval_metric=None, feature_types=None,\n",
+       "              gamma=None, grow_policy=None, importance_type=None,\n",
+       "              interaction_constraints=None, learning_rate=0.05, max_bin=None,\n",
+       "              max_cat_threshold=None, max_cat_to_onehot=None,\n",
+       "              max_delta_step=None, max_depth=13, max_leaves=None,\n",
+       "              min_child_weight=5, missing=nan, monotone_constraints=None,\n",
+       "              multi_strategy=None, n_estimators=100, n_jobs=None,\n",
+       "              num_parallel_tree=None, random_state=None, ...)
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" + ], + "text/plain": [ + "XGBClassifier(base_score=None, booster=None, callbacks=None,\n", + " colsample_bylevel=None, colsample_bynode=None,\n", + " colsample_bytree=None, device=None, early_stopping_rounds=None,\n", + " enable_categorical=False, eval_metric=None, feature_types=None,\n", + " gamma=None, grow_policy=None, importance_type=None,\n", + " interaction_constraints=None, learning_rate=0.05, max_bin=None,\n", + " max_cat_threshold=None, max_cat_to_onehot=None,\n", + " max_delta_step=None, max_depth=13, max_leaves=None,\n", + " min_child_weight=5, missing=nan, monotone_constraints=None,\n", + " multi_strategy=None, n_estimators=100, n_jobs=None,\n", + " num_parallel_tree=None, random_state=None, ...)" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "model.fit(trainX,trainY)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**AUC when tested on all testing systems (original method)**" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'ROC curve when tested on all systems (AUC = 0.953)')" + ] + }, + "execution_count": 8, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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SpdCgQYMs23zy5MkHX8On7Nu3D56ennB0dFTJ0LZtWwDAyZMnAQANGjRAdHQ0evXqhT179uTqirhz584hKioKvr6+KvtQKBRo06YNLl26hISEBCQkJODSpUv48ssvYWRkpHy+ubl5jlpazp8/j6SkpCxX9pQtWxafffZZltNwMpksy3Zz+n4+fPgQvXv3Vv5FrK+vjxYtWgBAltNweeHq6goDAwMMHjwYa9euzXKqFMh4X/z8/LBmzRply9yxY8dw69YtjBgxQrlegwYNcO3aNQwbNgx//vknYmNjc5zjzz//RHp6Ovr166dy7IyMjNCiRYssv6MymQzt2rVT3tfT00OlSpXg4OCAunXrKpdbW1vDzs5O5b1u0KABDhw4gIkTJ+LEiRNISkrKUcaXL18CAOzs7LI8dvLkSdy/fx++vr7Q1dUFkHGqSCaTISgoKMfvQ0Fxc3PDpUuXcvTj6Oj4ye197PP8U5/1I0eOxN27dzFixAi8ePECz549w9ChQ5XHSEfnv6/4gIAABAQEwMvLC15eXpg+fTrWrVuHf/75BytWrMiybW9vb1y6dAnHjh3DjBkzsGPHDnTt2jXb0/p2dnaFfrWdOrEQKgTr1q1T/kINGTIEt2/fRq9evVTWyWxuzDxtlp3Mx8qWLZvj53zKmzdvoKurm6VpNr8cHByyLKtRowbq16+vPGUil8uxYcMGfPHFF7C2tgbwX7+pcePGQV9fX+Vn2LBhAPDRL3QjIyM0adJEWQgdPXoUXl5eaNmyJeRyOU6fPq08RZZdIWRjY6NyP7OJOfMD/tWrVxBCwN7ePku+CxcuZMn2/vYyt5nTL4zsvHr1Cr///nuW/deoUQPAf+9P3759ERQUhCdPnqBr166ws7NDw4YNVU4RfmwfANCtW7cs+5k9ezaEEIiKisLbt2+hUCiy/f3Jye9U5imU7H5fHB0ds5xiMTExUSm4gIz3Mzk5+aP7iY+PR7NmzfDXX39h+vTpOHHiBC5duoSdO3cCQL6OR6aKFSviyJEjsLOzw/Dhw1GxYkVUrFhR2a8n08iRIxEXF4eNGzcCABYvXowyZcqoXJEzadIk/N///R8uXLiAtm3bwsbGBp9//jkuX778yRyZx65+/fpZjl1wcHCW39Hs3lMDAwPl/8n3l7/7Xv/yyy/45ptvsHv3bnh6esLa2hqdO3f+4PAgmTLf7/f3C/x3hViXLl0QHR2N6OhoWFpaomnTptixY4fKVXJ6enqQy+Uf3E96ejr09fWV98uVK5evz0sg45J8V1fXHP0YGBh8dFs2NjbZnkZMSEhAampqtsfgXQMGDMCsWbOwfv16lClTBuXKlcOtW7cwbtw4AEDp0qU/+vwuXbrA1NQUFy5cyPJYiRIl4O7uDk9PT3z77bdYvnw59u7diz179mRZ18jISC3/h6SStyYJypVq1aopO0h7enpCLpdj5cqV2L59O7p166Zcrqenh927d2Po0KHZbiezk7SXl5fyOfr6+h99zqeULFkScrkc4eHh2X4ZZTI0NMy2Q+qH+gJ86C8ZPz8/DBs2DLdv38bDhw8RFham0lHQ1tYWQMYXwYc6LVapUuWDOQHg888/xw8//ICLFy/i+fPn8PLygrm5OerXr4/Dhw/j5cuXcHFxURaUuWFrawuZTIbTp09/9Nx8QbK1tUXt2rUxY8aMbB9/969QPz8/+Pn5ISEhAadOnUJgYCA6dOiAu3fvwsnJ6aP7AIBFixZ9sD+Fvb090tLSIJPJEB4enuXx7Ja9L7NQzK5T58uXL5U58uvYsWN4+fIlTpw4oWwFAqD2S8+bNWuGZs2aQS6X4/Lly1i0aBHGjBkDe3t79OzZEwBQqVIltG3bFr/++ivatm2LvXv3YurUqcrWDyDjC37s2LEYO3YsoqOjceTIEXz77bfw9vbGs2fPVDrHvi/zPdu+fftHj7E6mJqaYurUqZg6dSpevXqlbB3q2LEj/vnnn09mjIqKUvnciYmJwY4dOwBkFHLZ2bRpk/KPInt7eyQnJyMqKipL0RAZGYmUlBTY29srl3l7e2PRokW4cOFCnvsJnTx58oN9m9736NEjlC9f/oOP16pVC1u2bEF4eLjKHw6ZfXtq1qz5yX188803GDNmDO7duwdzc3M4OTlhyJAhMDU1hZub2yefL4RQaTn6kMyW7bt372Z5LCoqSm3/VyUh8ak5jfahy+ejoqJEiRIlRLVq1VTO7RbE5fP379//6OXzmX2Evv/++4++lipVqmTpx3H06FEBINs+Qu+/5kxv374VRkZGYsKECaJbt26idOnSWfr8VK5cOcu+cuPixYsCgGjdurUoU6aMcvn3338v6tSpI+zt7cWwYcNUnvOhy+czX0/muf4zZ84IACI4OPiTOVq0aCFq1KiRZbmvr69wcnL65POtra1V+nNkGjhwoHB0dBRRUVGf3Mb7du/eLQCIP/74QwghxN69ewUAsX//fpX14uLihJWVlfj6668/uU119BHq1KmTyvJnz54JQ0ND0adPH+WyD/UHycll+pmv8/z58yrLu3XrJgCI1atXf3R7eb18Pjo6WgAQ48ePV1l+6NAhAUB4enoKAwMD8erVq09ua8GCBSp9wH755RcBQNy6dUtlvUePHgk9PT0xe/bsT27zQ+/ph353nZycRPv27T+6zTFjxggAKpd0vy/zc2fPnj0qy5csWSIAiB9//FEcP348y4+tra1wc3NTrn/s2DEBQCxZsiTLPjK39W7/t5xcPr9z586Pvr7Y2Fhx6dKlHP2kpKR8dFuZl8/PmjVLZfmQIUNydPl8dp48eSIsLS3FmDFjPrluZl+tBQsWfHLdVatWCQBi+/btWR6rXLmy6NKlS66zFhVsEZJAiRIlMGnSJEyYMAGbNm3CV199BSDj0s47d+7gq6++wqlTp9CxY0cYGhriwoUL+L//+z+Ym5tjx44dKn85zps3Dw8fPkT//v2Vg3HZ29sjIiIChw8fxurVq7Fly5YPXkLfrFkz9O3bF9OnT8erV6/QoUMHGBoaIjQ0FCYmJsorU/r27Yvvv/8eP/zwA1q0aIFbt25h8eLF2V6C+jFWVlbo0qUL1qxZg+joaIwbNy7LXyO//fYb2rZtC29vb/Tv3x+lS5dGVFQUbt++jStXrmDbtm0f3YebmxtKlCiBQ4cOqbQ2tWrVCj/++KPydl40adIEgwcPhp+fHy5fvozmzZvD1NQUYWFhOHPmDGrVqoWvv/46T9t+X61atXDixAn8/vvvcHBwgLm5OapUqYJp06bh8OHDaNy4MUaNGoUqVaogOTkZjx8/xv79+7Fs2TKUKVMGgwYNgrGxMZo0aQIHBweEh4dj5syZsLS0VP61nfkX5/Lly2Fubg4jIyM4OzvDxsYGixYtgq+vL6KiotCtWzfY2dnhzZs3uHbtGt68eYOlS5cCAH788Ue0adMGXl5e+N///ge5XI7Zs2fD1NT0g1ekZLKyssL333+Pb7/9Fv369UOvXr0QGRmJqVOnwsjICIGBgWp5Lxs3bowSJUpg6NChCAwMhL6+PjZu3Ihr166pZfsAsGzZMhw7dgzt27dHuXLlkJycrOzT8v7vm5eXF6pXr47jx4/jq6++ytJXpmPHjqhZsybc3d1RsmRJPHnyBAsWLICTkxMqV64MAMorHhcuXAhfX1/o6+ujSpUqKF++PKZNm4bJkyfj4cOHyn6Jr169wsWLF5WtOOrQsGFDdOjQAbVr10aJEiVw+/ZtrF+/Hh4eHh9ttWrYsCGMjY1x4cIFlX55q1atQokSJTBu3LhsT5v169cP8+bNw7Vr11CnTh14enqiU6dOGD16NB4/fowWLVpACIFTp05h/vz56NSpk8qwE87OztiyZQt8fHzg6uqKESNGKPtB3bp1S3llWpcuXT6Y3dzcXNnCn181atSAv78/AgMDoauri/r16+PQoUNYvnw5pk+frtLKNW3aNEybNg1Hjx5VtmreuHEDO3bsgLu7OwwNDXHt2jXMmjULlStXVn7WAcCTJ0/Qu3dv9OzZE5UqVYJMJsPJkyexYMEC1KhRAwMHDlSu+9tvv+H06dNo3bo1ypYti4SEBJw+fRqLFi1C48aNswyqGBkZiXv37im/K4olqSsxTfax1pGkpCRRrlw5UblyZZUWntTUVPHrr7+Khg0bCjMzM2FoaCiqVKkiJkyYICIiIrLdT3p6uli7dq347LPPhLW1tdDT0xMlS5YUbdu2FZs2bfroVVZCZFwJNH/+fFGzZk1hYGAgLC0thYeHh/j999+V66SkpIgJEyaIsmXLCmNjY9GiRQtx9erVD1419qEWISH++2sYgLh7926261y7dk306NFD2NnZCX19fVGqVCnx2WefiWXLln30tWTq0qWLACA2btyoXJaamipMTU2Fjo5OlkHcctoilCkoKEg0bNhQmJqaCmNjY1GxYkXRr18/cfnyZeU6+W0Runr1qmjSpIkwMTERAFRaJN68eSNGjRolnJ2dhb6+vrC2thZubm5i8uTJIj4+XgghxNq1a4Wnp6ewt7cXBgYGwtHRUfTo0UNcv35dZT8LFiwQzs7OQldXN0vryMmTJ0X79u2FtbW10NfXF6VLlxbt27cX27ZtU9nG3r17Re3atYWBgYEoV66cmDVrVq4GVFy5cqXy+ZaWluKLL75Qtny8+77ltUVICCHOnTsnPDw8hImJiShZsqQYOHCguHLlitpahM6fPy+6dOkinJychKGhobCxsREtWrQQe/fuzXb9KVOmfPDKqblz54rGjRsLW1tb5Xvq7+8vHj9+rLLepEmThKOjo9DR0cnS+rF7927h6ekpLCwshKGhoXBychLdunUTR44cUa6T3xahiRMnCnd3d1GiRAlhaGgoKlSoIAICAj74WfWuvn37iurVqyvvX7t2TQD4aEvGP//8IwCoXBGXmpoqfvrpJ1GjRg1haGgoDA0NRY0aNcRPP/0kUlNTs93OgwcPxLBhw0SlSpWEoaGhMDY2FtWrVxdjx44t9AEqU1NTRWBgoChXrpwwMDAQLi4u4pdffsmyXubv5bvH+M6dO6J58+bC2tpaGBgYiEqVKonvvvtO+RmQKSoqSnTp0kWUL19eGBsbCwMDA1G5cmUxYcKELC1jZ8+eFR06dBCOjo7CwMBAmJiYiDp16ogff/wx21a+VatWCX19fREeHq6eN0QCMiHyOTADERHlmru7e5aBPrXJ5cuXUb9+fVy4cAENGzaUOg7lUbNmzVCuXDll5//iiIUQEVEhiY2NxY0bN7Bv3z7MnDkTu3btyveAqMWZj48PEhISsG/fPqmjUB6cOnUKrVu3xq1bt1ChQgWp4+QZ+wgRERWSK1euwNPTEzY2NggMDNTqIggA5s6di1WrViEuLi7biVepaIuMjMS6deuKdREEsEWIiIiItJikAypmXhnl6OgImUymHCfnY06ePAk3NzcYGRmhQoUKWLZsWcEHJSIiIo0kaSGUkJCAOnXqYPHixTla/9GjR2jXrh2aNWuG0NBQfPvttxg1apRyAC4iIiKi3Cgyp8ZkMtknOw5+88032Lt3r8q8QEOHDsW1a9dw/vz5QkhJREREmqRYdZY+f/48WrdurbLM29sbq1atQlpamsqcMplSUlJUpoZQKBSIioqCjY2NWicvJSIiooIjhEBcXBwcHR1zNC1IThWrQig8PFxl3hggY66Z9PR0REREZDtX1syZM9U2iioRERFJ69mzZyhTpozatlesCiEg62SemWf2PtS6M2nSJIwdO1Z5PyYmBuXKlcOzZ89gYWFRcEGJipG45DQkp8kRm5yGuOR0PIlIRKpcgYcRCTA31INcIZCcLsfOK89RsaQ5br6MhZ4uYKSni1S5AgkpH54BvDixMtaDTCaDDEDGR4oMMhk+cD/jM0cmy/h58TYZVUqZw0BXR2WdzOfKMp+bzW3IgPuv4lDf2Ro6sozHdP59ro5Mhow/fmXQydxXdBJqOvw7vc07n33vfgq++5Eoe+eR7D4qVdb91OMf2FZ2+/7UfiMT0uBkbQzdd/66z+6T/P3nZpvxvWfmpME/u++N95dk2Xc2CbOuk93OPrkgR9t5N3O6XAFTQz0Y67/z/qk86cPvv+rxyv536P3nfep4fuo5WR7LwXrnT59E1Wo1YG1ri/i4ODSvV03tQy0Uq0KoVKlSWWa0fv36NfT09JSzWL/P0NAw2xnBLSwsWAiRxolJTMPLmCSExyTjZUwSbofFwtJYH69jU7DvehhcSplDrlBArgAUCoE7r+JyuQdDXH+dCugZQQ4gs/7Ree+/mL2FYcYX+Dtf6ro6Gbcj4lJgaaKP8jamGTPXxyShXrkS0NXJWEdHJsPruGRUK2Xxb7Gg+uGb+YGpWqD8V1z8t+5/H63vFiZpcgWaVS4JRysj6OvqQE8nMxtPlRMVFWlpafj+++8xe/ZstG7dGgcOHEB8fEYBpO7/q8WqEPLw8MDvv/+usuzQoUNwd3fPtn8QUXGnUAiExSbj1stY/BMWi9Bn0bAxNcDZ+xFwsjGFXCGQrlDgytPoHG3v2rOPr2eop4OUdAUqljRFeEwy6jmVQEqaAtUczKH3b9EQk5SGz6vZQ09XhtJWxtDTkUFfVwc2ZgYw1tdlQUFE+fLs2TP07NkT586dAwBUqlQJ6enpBbY/SQuh+Ph43L9/X3n/0aNHuHr1KqytrVGuXDlMmjQJL168wLp16wBkXCG2ePFijB07FoMGDcL58+exatUqbN68WaqXQJRrCSnpSEhNx/O3Sbj/Kh4vY5Lw/G0S7r2Kg42ZIY798zpH23kZk/zRx0tbGcPa1AAGejpwdyoBfV0dyIVAA2dr6Mpk0NORQUcn49/K9uawMNJjEUNEktq3bx98fX0RFRUFCwsLrFy5Et27dwcAJCd//DMvryQthC5fvgxPT0/l/cy+PL6+vlizZg3CwsLw9OlT5ePOzs7Yv38/AgIC8Ouvv8LR0RG//PILunbtWujZibIjhMCb+BREJaTi1stYPIlMxKOIBMQkpeHk3Tf52ratmQHqlLGCqaEe6pS1QmJKOirZmUFXRwY9XRkMdHXhWs4KZobFqqGXiAhpaWmYNGkS5s6dCwBwc3NDcHAwKlasWOD7LjLjCBWW2NhYWFpaIiYmhn2EKNdexSbjwsNI7Ap9gaiEVLyKTUYJE4N/T1EJPIpIyPG2DPR0kJqugJONCZxsTGFrZgBrEwPUKmMJQz0dlLM2hb2FIUwN9WCkr1uAr4qISFpxcXGoV68e7t+/j9GjR2P27NlZ+vcW1Pc3/3QkykaaXIF7r+Jx73UcHr5JwPmHkbj4KCrbdV/FpmS7vLSVMV5EJ6FxRRuUKWEMJxtTlLcxRaMK1rA2NeBpKCKif5mbm2Pr1q148uRJoU9GzEKItFpMUhruv47Dpr+e4c6rWJQwMcDpexGffJ5rWSuYGuqicUVbVCxpCktjA+jpZlx9VKaEMezMjQohPRFR8ZSSkoIJEyagYsWKGDVqFACgbt26qFu3bqFnYSFEWicyPgXrLzzBgiP3crR+xZKmMDPUQ3VHC/jULwfXslYFG5CISIM9ePAAPj4+CAkJgaGhIbp16wZHR0fJ8rAQIo2mUAgc/ec1zt6PwN5rLxGVkPrBdZ1sTNCssi08KthCT1eGz6raQV9X0nmJiYg0yrZt2zBw4EDExsbCxsYGa9eulbQIAlgIkQYRQiAlXYHfr73E0duvceZ+BOJTPjz2hJG+Dn7qUgtf1lPfUO1ERJRVcnIyxo4di6VLlwIAmjRpgi1btqh1qoy8YiFExVpMUhp+O/kAS048+OS6vRuWQ8WSZuhWrwwsTTgAJxFRYUhPT0fz5s1x6dIlABlTX02bNg16ekWjBCkaKYhy4XVsMoZuCPnkaMod6ziiVmkLdKjtCEcr48IJR0REKvT09NCtWzc8fvwY69evh7e3t9SRVHAcISo2IuJTMHJTKM4/jMzymJONCQY2q4C2NUuhhIkBdHV4aToRkVQSExPx+vVrlC9fHgCgUCgQEREBOzu7PG+T4wiRVrn3Kg4b/3qKV7HJOHAjPNt1mlayxZRO1VHB1gw6LHyIiIqE27dvo0ePHpDL5bh06RJMTU2ho6OTryKoILEQIsnJFQIbLjzB5Sdv8fu1l59cv3V1eyzpUw96vKKLiKhIWbt2LYYNG4bExETY29vjwYMHqF27ttSxPoqFEEkiXa7A9pDnWHH6IR68+fC0FFXszdHcxRZONqZoVMEGFWxN2fpDRFTEJCQkYPjw4Vi7di0A4PPPP8eGDRtQqlQpiZN9GgshKlQxSWnYeukZZuy/ne3j7Ws7oHllW3hWsYOdBUdnJiIq6m7cuIEePXrg9u3b0NHRwZQpU/Dtt99CV7d4zJHIQogKXGJqOraHPMcPe25m+3j/xuUxpEUFOFjyyi4iouLmm2++we3bt+Ho6IhNmzahRYsWUkfKFRZCVCBS0uVYcOQeln5gfB9zQz10cy+DwI41CjkZERGp08qVKzF+/HjMnz8fJUuWlDpOrrEQIrX682Y4Rmy6gjR51lEZKpY0Ra8G5eDXxJmXtxMRFVNXr17FgQMHMGnSJACAg4MDNmzYIHGqvGMhRGqRmq6A1/yTeBKZqLLc3EgPXzVywvjWVdjJmYioGBNCYNmyZQgICEBKSgqqVauGzp07Sx0r31gIUb7EJKZhyIbLuPAwSmX5sJYV4d/UGTZmhhIlIyIidYmJicGgQYOwbds2AECHDh3QrFkziVOpBwshypM0uQKzDvyDVWceqSx3dyqBbUM9IJOx9YeISBNcvnwZPj4+ePjwIfT09DB79mwEBARozOc8CyHKleQ0OeYfuYvfTj5UWf5ZVTvM7V4HJUwNJEpGRETqtmLFCgwfPhxpaWlwcnJCcHAwGjZsKHUstWIhRDn2+7WXGLk5VGVZFXtzrPR1R1lrE4lSERFRQSlZsiTS0tLQuXNnBAUFoUSJElJHUjsWQvRJ91/Ho9W8k1mWBw9uhIYVbCRIREREBSUhIQGmpqYAgM6dO+PEiRNo3ry5xpwKex8na6KPehOXkqUImtejDh7Pas8iiIhIgwghMHfuXFSuXBnPnz9XLm/RooXGFkEACyH6iIk7rqP+jCPK+35NyuPxrPb4sl4ZCVMREZG6RUZGolOnThg3bhzCwsKwevVqqSMVGp4aoyySUuVwnXYIKekK5bL+jctzFGgiIg109uxZ9OzZE8+fP4ehoSHmz5+PoUOHSh2r0LAQIhWR8Slwm/5fK1DtMpZY3tcdpSw5ASoRkSZRKBSYM2cOvvvuO8jlclSuXBlbt26Fq6ur1NEKFQshAgAoFAIjt4Tij+thymU+7mUxu1ttCVMREVFBWbRokXKajN69e2PZsmUwNzeXOFXhkwkhsk4KpcFiY2NhaWmJmJgYWFhYSB2nyCg/8Q+V+3O61kaP+mUlSkNERAUtMTERLVu2xJAhQzBgwIAi3yG6oL6/2SKk5YIvPcU3O/5WWXZ6gifHBSIi0jByuRybN29G7969oaOjAxMTE1y4cAE6Otp93RQLIS32w54bWHf+ifJ++1oO+LVPPQkTERFRQQgPD8dXX32Fo0eP4vnz55g4cSIAaH0RBLAQ0lqt55/E3Vfxyvtr/OqjZRU7CRMREVFBOHr0KPr06YNXr17BxMQEpUuXljpSkcJCSAv1XnFBpQi6MdUbZob8VSAi0iRyuRxTp07F9OnTIYRAzZo1sXXrVlSrVk3qaEUKv/20zOFbr3DuQaTy/sOf2kFHp2h3kCMiotx5+fIlevfujZMnM2YGGDhwIBYuXAgTE/b/fB8LIS2iUAgMWndZef/S5FYsgoiINNCrV69w/vx5mJmZ4bfffkPv3r2ljlRksRDSErfDYtF24Wnl/SV96qGkuaGEiYiIqKDUrVsX69evh6urK1xcXKSOU6Sxu7gWOPbPK5UiqFMdR7Sr5SBhIiIiUqdnz57h888/x+XL/7X69+jRg0VQDrBFSIMJIeAx8xjCY5OVy2Z9WQs9G5STMBUREanTH3/8gX79+iEqKgqDBw9GSEhIkR8csShhIaShVpx6iBn7b6ssW+/fAM0ql5QoERERqVNaWhomTZqEuXPnAgDc3NwQHBzMIiiXWAhpoL3XXqoUQVVLmeP3kU2hr8szoUREmuDx48fo2bMn/vrrLwDAqFGjMGfOHBgasu9nbrEQ0jB3wuMwanOo8v6p8Z4oZ8PLJYmINMXdu3fRsGFDREdHw8rKCkFBQejSpYvUsYotFkIaJCI+Bd4LTinvr+znziKIiEjDVKpUCR4eHoiMjERwcDDKly8vdaRijYWQBum06Izy9vK+bmhV3V7CNEREpC4PHz6Evb09TE1NoaOjg02bNsHExAQGBgZSRyv22GlEQ/Rd9RdexmRcHdarQTm0rlFK4kRERKQO27ZtQ926dTFy5EjlMisrKxZBasJCSAOEPn2L0/ciAAAGejqY+WUtiRMREVF+JScnY9iwYejRowdiY2Nx584dJCYmSh1L47AQ0gBdlpxT3j4+rqV0QYiISC3u3bsHDw8PLF26FAAwceJEnDhxgnOFFQD2ESrmxm+7prw9tEVFlLYyljANERHl1+bNmzF48GDEx8fD1tYW69evR5s2baSOpbFYCBVTCSnpqBH4p/J+Q2drTGxbVcJERESUXzExMRg9ejTi4+PRvHlzbNq0CaVLl5Y6lkZjIVRMec07qbxd2soYmwc1kjANERGpg6WlJdavX48zZ84gMDAQenr8mi5ofIeLoYVH7imvEKtayhwHxzSXOBEREeXVunXrYG5urhwU0dvbG97e3hKn0h4shIqZl9FJmH/krvL+gdHNJExDRER5lZCQgBEjRmDNmjWwtLRE/fr1UaZMGaljaR0WQsVM+19OK29f+d6Lk+sRERVDN27cQI8ePXD79m3o6Ojgf//7HxwcHKSOpZVYCBUj/4TH4m1iGgAgsGN1WJtyMC0iouJECIGgoCCMGDECycnJcHBwwObNm9GiRQupo2ktFkLFREq6HG0W/Nca5NfEWcI0RESUW3K5HL6+vti4cSOAjL5A69atg52dncTJtBsHVCwm2v/y3zxi472rSJiEiIjyQldXF9bW1tDV1cXMmTOxf/9+FkFFgEwIIaQOUZhiY2NhaWmJmJgYWFhYSB0nR4auD8HBm+EAgCr25vgzgFeJEREVB0IIJCQkwMzMDACQkpKC69evo379+hInK34K6vubLUJF3KGb4coiCAB2DGssYRoiIsqpmJgY9OzZE+3bt0d6ejoAwNDQkEVQEcM+QkVYbHIaBq8PUd6/N6Mt9HVZuxIRFXUhISHw8fHBgwcPoKenhwsXLqBp06ZSx6Js8Fu1CPt87n+jRx8Y3YxFEBFRESeEwKJFi9C4cWM8ePAATk5OOH36NIugIowtQkXUvVdxeBOXAgD4sm5pVHMoHv2ZiIi01du3b+Hv749du3YBADp37oygoCCUKFFC4mT0MWxiKIKEEGiz8L9L5X/uXkfCNERElBN9+/bFrl27oK+vj4ULF2Lnzp0sgooBtggVQd/tvgG5IuNivkW96kJXh6NHExEVdbNnz8aTJ0+wevVquLu7Sx2HcogtQkXM/ddx2PjXUwBAnbJW6FjHUeJERESUnaioKOzcuVN5v0aNGrh27RqLoGKGhVAR02reKeXtbUM8JExCREQfcu7cObi6uqJHjx44e/ascrmODr9WixsesSLk4I0w5e0pHavDQI+Hh4ioKFEoFJg9ezaaN2+OZ8+eoUKFCjA1NZU6FuWD5N+0S5YsgbOzM4yMjODm5obTp09/dP2NGzeiTp06MDExgYODA/z8/BAZGVlIaQvW+G3Xlbf7cy4xIqIi5c2bN+jQoQMmTpwIuVyOXr16ISQkBK6urlJHo3yQtBAKDg7GmDFjMHnyZISGhqJZs2Zo27Ytnj59mu36Z86cQb9+/eDv74+bN29i27ZtuHTpEgYOHFjIydVve8hzxKVkjDz6+wiON0FEVJScOnUKrq6uOHDgAIyMjLBixQps3LgR5ubmUkejfJK0EJo3bx78/f0xcOBAVKtWDQsWLEDZsmWxdOnSbNe/cOECypcvj1GjRsHZ2RlNmzbFkCFDcPny5UJOrn6zDvwDAChvY4JaZSwlTkNERO+6du0aXr58iapVq+LixYsYOHAgZDJe0asJJCuEUlNTERISgtatW6ssb926Nc6dO5ftcxo3boznz59j//79EELg1atX2L59O9q3b//B/aSkpCA2Nlblp6i59iwaEfEZgycGeLlInIaIiICMMd0yjRgxAosWLcKlS5dQq1YtCVORuklWCEVEREAul8Pe3l5lub29PcLDw7N9TuPGjbFx40b4+PjAwMAApUqVgpWVFRYtWvTB/cycOROWlpbKn7Jly6r1deTX/dfx+OLX/644+MK1tIRpiIgIAI4dO4bmzZsr/3iWyWQYMWKEchZ50hySd5Z+v2lRCPHB5sZbt25h1KhR+OGHHxASEoKDBw/i0aNHGDp06Ae3P2nSJMTExCh/nj17ptb8+TV84xXl7R8715QwCRERyeVyBAYGolWrVjhz5gymT58udSQqYJKNLG1rawtdXd0srT+vX7/O0kqUaebMmWjSpAnGjx8PAKhduzZMTU3RrFkzTJ8+HQ4ODlmeY2hoCENDQ/W/ADV4FZuMO6/iAADtazugbyMniRMREWmvly9fok+fPjhx4gQAwN/fH1OmTJE0ExU8yVqEDAwM4ObmhsOHD6ssP3z4MBo3bpztcxITE7MMVqWrqwtA9VxucTH74D/K2wt9XKULQkSk5Q4dOgRXV1ecOHECpqam2LBhA1auXAkTExOpo1EBk3SusbFjx6Jv375wd3eHh4cHli9fjqdPnypPdU2aNAkvXrzAunXrAAAdO3bEoEGDsHTpUnh7eyMsLAxjxoxBgwYN4OhYvKaiOHn3DXZeeQEA+KyqHfR0JT9LSUSkldavX49+/foBAOrUqYOtW7fCxYUXrmgLSQshHx8fREZGYtq0aQgLC0PNmjWxf/9+ODllnCIKCwtTGVOof//+iIuLw+LFi/G///0PVlZW+OyzzzB79mypXkKepMkV8A26qLw/p1ttCdMQEWm3Nm3awNHREZ06dcK8efNgbGwsdSQqRDJRHM8p5UNsbCwsLS0RExMDCwsLSTJ0W3oOl5+8BQCs7OeOVtWz7xNFREQF4/r166hd+78/QiMjI2FjYyNhIvqUgvr+5vmYQiZXCGUR5GJvxiKIiKgQpaWlYfz48ahTpw42bNigXM4iSHtJempMG227/N/l+7uGNZEwCRGRdnny5Al69uyJCxcuAABu3LghcSIqClgIFbKJO/9W3jY15NtPRFQY9uzZg/79+yM6OhqWlpYICgrCl19+KXUsKgJ4aqwQ/fUwUnl71pccop2IqKClpqZizJgx6Ny5M6Kjo1G/fn2EhoayCCIlFkKFRKEQ8Fl+QXm/Z4NyEqYhItIO58+fx8KFCwFkDNly5swZODs7S5yKihKemykkA9ZeUt4ey4lViYgKRYsWLTBjxgzUqlULHTt2lDoOFUFsESokJ+68Ud4e9XllCZMQEWmu5ORkjBs3Do8ePVIu+/bbb1kE0QexRagQpKYrlLfn+9SRMAkRkea6d+8efHx8EBoairNnz+Ls2bNZpmUieh9/QwrB2nOPlbc71i5eU4EQERUHmzdvRr169RAaGgpbW1sEBgayCKIc4W9JIZix/7byNucUIyJSn6SkJAwePBi9e/dGfHw8mjdvjqtXr6JNmzZSR6NigqfGCti9V3HK2ws4wzwRkdo8f/4c7dq1w99//w2ZTIbJkycjMDAQenr8aqOc429LARuyPkR5u3Pd0hImISLSLLa2ttDT04OdnR02btyIVq1aSR2JiiEWQgXo/ut4PIxIAACUsjCSOA0RUfGXmJgIQ0ND6OrqwsjICDt27ICRkREcHBykjkbFFDusFJA0uQLeC04p7/8+sqmEaYiIir+bN2+ifv36mDZtmnKZs7MziyDKFxZCBWTQusuQKwQAYEaXmihpbihxIiKi4kkIgaCgINSvXx+3bt3CqlWrEBcX9+knEuUAC6ECoFAI5QCKejoy9GnoJHEiIqLiKT4+Hn379oW/vz+SkpLQunVrXLlyBebm5lJHIw3BQqgA3AqLVd4O+c5LwiRERMXXtWvX4Obmho0bN0JHRwczZszAgQMHYGdnJ3U00iDsLF0AVp3JGNrdykQflib6EqchIip+4uPj8dlnnyEqKgqlS5fG5s2b0axZM6ljkQZii5CayRUCu0JfAABGc04xIqI8MTMzw88//4x27drh6tWrLIKowLAQUrO77wyg+FUj9g0iIsqpK1eu4OLFi8r7fn5+2LdvH2xtbSVMRZqOhZCanX8Qqbytz+k0iIg+SQiBxYsXw8PDA926dUNUVBQAQCaTQSaTSZyONB37CKnZhgtPAAB1ylpJG4SIqBiIjo6Gv78/du7cCQCoV68eix8qVGyyUKPkNLlyJOkRnpUkTkNEVLRdvHgRdevWxc6dO6Gvr48FCxZg165dKFGihNTRSIuwEFKj+UfuKm97VikpYRIioqJLCIH58+ejadOmePz4MZydnXH27FmMHj2arUFU6FgIqdFvJx8CAEwMdKHH/kFERB906tQppKWloWvXrrhy5Qrq168vdSTSUuwjpCaP/z0lBgBzu9eRMAkRUdEkhFB2gA4KCkKHDh0wYMAAtgKRpNhsoSaZYwcBQNtanACQiCiTQqHAnDlz4OvrCyEy5mAsUaIE/P39WQSR5NgipCa7r2YUQhVLmkqchIio6Hjz5g18fX1x4MABAEDfvn3h5cWph6joYIuQmoTHJAMAWlbhHDhERABw+vRpuLq64sCBAzAyMsJvv/2GVq1aSR2LSAULITX4+3kMUtIVAIDeDctJnIaISFoKhQIzZsxAy5Yt8fLlS1SpUgV//fUXBg8ezFNhVOTw1JgadF12DgDQwNkaFUuaSZyGiEhafn5+WLduHYCMU2FLliyBmRk/G6loYotQPqWmK5D6b2tQ6+r2EqchIpKen58fzMzMsHr1aqxbt45FEBVpbBHKp79fxChvD2jiLGESIiJpyOVy3Lx5E7Vr1wYAtGzZEk+ePIG1tbXEyYg+jS1C+XThYcYkq+ZGetDR4blvItIuYWFhaNWqFZo0aYK7d/8bXZ9FEBUXLITy6dyDCACAF0+LEZGWOXToEOrUqYMTJ05ACKFSCBEVFyyE8uns/YwWIUdLY4mTEBEVjvT0dEyePBlt2rTBmzdvULt2bVy+fBkdOnSQOhpRrrGPUD48i0pU3m5bq5SESYiICsfz58/Ru3dvnD59GgAwZMgQzJ8/H8bG/GOQiicWQvkQ+ixaebuGo6V0QYiICsmKFStw+vRpmJubY/ny5ejZs6fUkYjyhYVQPlx6FAUAaFODrUFEpB2+++47hIWFYcKECahUqZLUcYjyjX2E8uHM/YyO0inpcomTEBEVjKdPn2L48OFIS0sDAOjr62P58uUsgkhjsEUoHx5FJAAAapexkjYIEVEB2Lt3L/r374+3b9+iRIkSmD59utSRiNSOLUJ5dOlxlPJ2j/plJUxCRKReqampCAgIwBdffIG3b9+ifv368Pf3lzoWUYFgIZRHS47fBwCYGeqhtBWvliAizfDo0SM0bdoUCxYsAAAEBATgzJkzcHbmyPmkmfJUCKWnp+PIkSP47bffEBcXBwB4+fIl4uPj1RquqBJC4PidNwCAca1dJE5DRKQehw8fRt26dXHp0iWUKFECe/bswbx582BgYCB1NKICk+s+Qk+ePEGbNm3w9OlTpKSkwMvLC+bm5pgzZw6Sk5OxbNmygshZpLyJS1He5mkxItIU5cuXh1wuh4eHB7Zs2YJy5cpJHYmowOW6RWj06NFwd3fH27dvVQbQ6tKlC44eParWcEXV+X/nFwMAEwP2Nyei4ism5r+JoytXroyTJ0/i5MmTLIJIa+S6EDpz5gy+++67LE2lTk5OePHihdqCFWU33plxnoiouNqyZQvKly+P48ePK5fVq1cP+vr6EqYiKly5LoQUCgXk8qzj5jx//hzm5uZqCVXUrTj9CADgWaWkxEmIiHIvKSkJQ4YMQa9evRAdHY2lS5dKHYlIMrkuhLy8vJRXEwCATCZDfHw8AgMD0a5dO3VmK/KaVLKVOgIRUa7cuXMHjRo1wvLlyyGTyTB58mRs2rRJ6lhEksl1B5f58+fD09MT1atXR3JyMnr37o179+7B1tYWmzdvLoiMRY6hng5S0hVoWcVO6ihERDm2YcMGDB06FAkJCShZsiQ2btwILy8vqWMRSSrXhZCjoyOuXr2KLVu2ICQkBAqFAv7+/ujTp49WzD6cmq5ASroCAFDChOfRiah4OHnyJPr27QsA8PT0xMaNG+Hg4CBxKiLp5boQOnXqFBo3bgw/Pz/4+fkpl6enp+PUqVNo3ry5WgMWNZef/DeitIUxCyEiKh6aN2+Ovn37okKFCvj++++hq6srdSSiIiHXhZCnpyfCwsJgZ6d6WigmJgaenp7ZdqTWJC/eJilv6+tyYG4iKpqEENi8eTPatGkDa2tryGQyrF27FjKZTOpoREVKrr/JhRDZ/keKjIyEqampWkIVZSfuZowoXa+clbRBiIg+ID4+Hr6+vujTpw8GDBgAIQQAsAgiykaOW4S+/PJLABn/kfr37w9DQ0PlY3K5HNevX0fjxo3Vn7CISUnLaPFKVwiJkxARZXX9+nX06NEDd+7cgY6ODho0aPDBP2CJKBeFkKWlJYCMFiFzc3OVjtEGBgZo1KgRBg0apP6ERcyNF7EAAI+KNhInISL6jxACK1aswOjRo5GcnIzSpUtj8+bNaNasmdTRiIq0HBdCq1evBpAxF824ceO04jRYdsJjkwEAduZGEichIsoQGxuLIUOGYMuWLQCAtm3bYt26dbC15VhnRJ+S6z5CgYGBWlsExSanKW835WCKRFREpKen49y5c9DV1cWcOXOwb98+FkFEOZSnGUO3b9+OrVu34unTp0hNTVV57MqVK2oJVhRtu/xcedvF3kzCJESk7d7tAG1tbY1t27YpZ44nopzLdYvQL7/8Aj8/P9jZ2SE0NBQNGjSAjY0NHj58iLZt2xZExiLj2rNoAMBnVe3Y8ZCIJBMdHY3u3btj1apVymUNGjRgEUSUB7kuhJYsWYLly5dj8eLFMDAwwIQJE3D48GGMGjUKMTGaPSv73msvAQCOVuwfRETSuHTpEurVq4cdO3bgf//7H6Kjo6WORFSs5boQevr0qfIyeWNjY8TFxQEA+vbtq9FzjWU2QwNANQcLCZMQkTYSQmDBggVo0qQJHj16hPLly+Pw4cOwsrKSOhpRsZbrQqhUqVKIjIwEADg5OeHChQsAgEePHqkUC5rm+TsjSn9Zt4yESYhI20RFRaFz584ICAhAWloavvzyS2XXBCLKn1wXQp999hl+//13AIC/vz8CAgLg5eUFHx8fdOnSJdcBlixZAmdnZxgZGcHNzQ2nT5/+6PopKSmYPHkynJycYGhoiIoVKyIoKCjX+82tjX89Vd42NuAcPURUOBITE+Hu7o69e/fCwMAAixcvxvbt29kSRKQmub5qbPny5VAoMmZfHzp0KKytrXHmzBl07NgRQ4cOzdW2goODMWbMGCxZsgRNmjTBb7/9hrZt2+LWrVsoV65cts/p0aMHXr16hVWrVqFSpUp4/fo10tPTc/syci306dsC3wcR0ftMTEzQr18/bNiwAVu3bkW9evWkjkSkUWRCjeezXrx4gdKlS+d4/YYNG6JevXpYunSpclm1atXQuXNnzJw5M8v6Bw8eRM+ePfHw4UNYW1vnKWNsbCwsLS0RExMDC4uc9/Xpsew8Lj6OwqBmzpjcvnqe9k1ElBMRERGIj49H+fLlAWRMY5SYmAhzc3NpgxFJKK/f35+ilunTw8PDMXLkSFSqVCnHz0lNTUVISAhat26tsrx169Y4d+5cts/Zu3cv3N3dMWfOHJQuXRouLi4YN24ckpKSsl0fyDiVFhsbq/KTFxcfR2Xkq1EqT88nIsqJ06dPw9XVFV26dEFycsZI9rq6uiyCiApIjguh6Oho9OnTByVLloSjoyN++eUXKBQK/PDDD6hQoQIuXLiQq746ERERkMvlsLe3V1lub2+P8PDwbJ/z8OFDnDlzBjdu3MCuXbuwYMECbN++HcOHD//gfmbOnAlLS0vlT9myZXOcMdOjiATl7Sql+GFEROqnUCjw008/wdPTEy9evEBiYuIHPwuJSH1y3Efo22+/xalTp+Dr64uDBw8iICAABw8eRHJyMg4cOIAWLVrkKcD7AxN+bJZkhUIBmUyGjRs3KieBnTdvHrp164Zff/1VZSLYTJMmTcLYsWOV92NjY3NdDO0KfaG8bWGkn6vnEhF9yuvXr/HVV1/h8OHDAICvvvoKS5cuhZkZR7AnKmg5LoT++OMPrF69Gq1atcKwYcNQqVIluLi4YMGCBXnasa2tLXR1dbP8xfP69essrUSZHBwcULp0aWURBGT0KRJC4Pnz56hcuXKW5xgaGsLQ0DBPGTNtu/wMAGBvkb/tEBG97/jx4+jduzfCw8NhbGyMX3/9Ff379+fo9USFJMenxl6+fInq1TM6CVeoUAFGRkYYOHBgnndsYGAANzc35V9AmQ4fPqwcsPF9TZo0wcuXLxEfH69cdvfuXejo6KBMmYIb2ychJeOqtGaVSxbYPohI+wgh8P333yM8PBzVq1fHpUuX4OfnxyKIqBDluBBSKBTQ1//vtJCurm6+Z6EfO3YsVq5ciaCgINy+fRsBAQF4+vSp8jL8SZMmoV+/fsr1e/fuDRsbG/j5+eHWrVs4deoUxo8fjwEDBmR7WkxdYpMzCqEvXB0LbB9EpH0yT/WPGDECFy9eRI0aNaSORKR1cnxqTAiB/v37K08zJScnY+jQoVmKoZ07d+Z45z4+PoiMjMS0adMQFhaGmjVrYv/+/XBycgIAhIWF4enT/wYyNDMzw+HDhzFy5Ei4u7vDxsYGPXr0wPTp03O8z9xKlyuUt13s2VGaiPLnyJEjuHTpEiZNmgQgY4T+RYsWSZyKSHvleBwhPz+/HG1w9erV+QpU0HI7DsHr2GQ0+OkoAODejLbQ11XLiANEpGXS09MxZcoU/PTTTxBC4MiRI/j888+ljkVUbBTUOEI5bhEq6gVOQbkdHqe8zSKIiPLixYsX6N27N06dOgUAGDJkyAf7QhJR4cr1FBva5tTdN1JHIKJi7MCBA+jXrx8iIiJgbm6O5cuXo2fPnlLHIqJ/sYnjEx6+ybhCrULJ/HUMJyLtM23aNLRr1w4RERGoW7cuQkJCWAQRFTEshD4hswPVZ1XsJM1BRMVP5rRDw4cPx7lz57Id64yIpMVTY5/w8E3G9BqNKthInISIioPo6GhYWVkByBjyw8XFBe7u7tKGIqIPYovQRwgh8DQqEQBQzsZE4jREVJSlpqZi7NixqFGjBl6/fq1cziKIqGjLUyG0fv16NGnSBI6Ojnjy5AkAYMGCBdizZ49aw0ntZUyy8nY5axZCRJS9R48eoVmzZpg/fz5evnyJvXv3Sh2JiHIo14XQ0qVLMXbsWLRr1w7R0dGQy+UAACsrqzzPO1ZU3XgRAwAoZWEEI31didMQUVG0c+dO1K1bFxcvXkSJEiWwZ8+efE0/RESFK9eF0KJFi7BixQpMnjwZurr/FQfu7u74+++/1RpOamfvRwAA3iamSpyEiIqalJQUjBw5El27dkVMTAwaNWqE0NBQdOrUSepoRJQLuS6EHj16hLp162ZZbmhoiISEBLWEKipeRmecGmvgbC1xEiIqaqZPn47FixcDAMaPH49Tp04ppwciouIj14WQs7Mzrl69mmX5gQMHlLPTa4q/X0QDAFpXt5c2CBEVOePHj0ejRo2wb98+zJkzR2VSaiIqPnJ9+fz48eMxfPhwJCcnQwiBixcvYvPmzZg5cyZWrlxZEBkl8yo2BQBQsaSZxEmISGrJyclYu3YtBg8eDJlMBgsLC5w7dw4ymUzqaESUD7kuhPz8/JCeno4JEyYgMTERvXv3RunSpbFw4UKNGjE1KuG/fkFVHdQ3uRsRFT937txBjx49cP36daSkpGDUqFEAwCKISAPkaUDFQYMGYdCgQYiIiIBCoYCdneaNunzy7n/jgFibGkiYhIiktHHjRgwZMgQJCQmws7NDtWrVpI5ERGqU6z5CU6dOxYMHDwAAtra2GlkEAcCR268/vRIRaazExEQMHDgQX331FRISEuDp6YmrV6/Cy8tL6mhEpEa5LoR27NgBFxcXNGrUCIsXL8abN5o5O/vTyIwRpfs24lUgRNrm1q1baNCgAVatWgWZTIbAwEAcPnwYDg4OUkcjIjXLdSF0/fp1XL9+HZ999hnmzZuH0qVLo127dti0aRMSExMLIqMknr3NeC1VSplLnISIClt0dDT++ecflCpVCkeOHMGUKVNUxk0jIs0hE0KIT6/2YWfPnsWmTZuwbds2JCcnIzY2Vl3ZCkRsbCwsLS0RExMDC4vsO0FHxKfAffoRAMCB0c1QjZ2liTSeEEKl8/O2bdvQvHlz2Ntz+AyioiAn3995ke9JV01NTWFsbAwDAwOkpaWpI5Pk7r6KAwBYGuuzCCLSAn///Tfc3d1x48YN5bLu3buzCCLSAnkqhB49eoQZM2agevXqcHd3x5UrVzBlyhSEh4erO58kLjyIBAAo8tdYRkRFnBACK1asQIMGDXDlyhUEBARIHYmIClmuL5/38PDAxYsXUatWLfj5+SnHEdIkf958BQBoUJ5TaxBpqtjYWAwZMgRbtmwBALRt2xbr1q2TOBURFbZcF0Kenp5YuXIlatSoURB5ioQ7/54aa8WpNYg0UmhoKHr06IH79+9DV1cXP/30E8aNGwcdnXz3FiCiYibXhdBPP/1UEDmKDIXiv9Nh7k4lJExCRAXh4sWLaNasGVJTU1G2bFls2bIFjRs3ljoWEUkkR4XQ2LFj8eOPP8LU1BRjx4796Lrz5s1TSzCpJKbJlbfLlDCRMAkRFQQ3Nzd4eHjAwsICa9asgbU1T4ETabMcFUKhoaHKK8JCQ0MLNJDUwqKTAAB6OjIY6bOZnEgTXLt2DVWqVIGRkRF0dXWxd+9emJubc64wIspZIXT8+PFsb2ui0KfRAABbM0N+SBIVc0II/PLLLxg/fjwGDx6MxYsXA4BaxyAhouIt100eAwYMQFxcXJblCQkJGDBggFpCSSlzROly1jwtRlScvX37Fl9++SXGjBmDtLQ0hIeHIz09XepYRFTE5LoQWrt2LZKSkrIsT0pK0ohLTzdffAoAsDDWlzgJEeXVhQsXULduXezevRsGBgZYvHgxtm3bBj29XF8fQkQaLsefCrGxsRBCQAiBuLg4GBkZKR+Ty+XYv3+/RsxEHxGfCgAoaW4ocRIiyi2FQoF58+Zh0qRJSE9PR8WKFbF161bUq1dP6mhEVETluBCysrKCTCaDTCaDi4tLlsdlMhmmTp2q1nBScLA0QlhMMrxrcAwhouImPDwcM2bMQHp6Onx8fLB8+XL2ByKij8pxIXT8+HEIIfDZZ59hx44dKpecGhgYwMnJCY6OjgUSsjCFxSQDAEpbGUuchIhyy9HREWvWrEF4eDgGDx7MCx6I6JNyXAi1aNECQMY8Y+XKldPIDxjxztxixga6EiYhopxQKBSYPXs2XF1d0bZtWwDAF198IXEqIipOclQIXb9+HTVr1oSOjg5iYmLw999/f3Dd2rVrqy1cYUtJVyhvW7KzNFGR9vr1a/Tt2xeHDh2CjY0N7ty5AxsbG6ljEVExk6NCyNXVFeHh4bCzs4OrqytkMplK60kmmUwGuVyezRaKhyeRicrbxvpsESIqqk6cOIHevXsjLCwMxsbGmDNnDkeIJqI8yVEh9OjRI5QsWVJ5W1PdfBmjvK2ny1GliYoauVyOGTNmYOrUqVAoFKhevTq2bt2q0ZNAE1HBylEh5OTklO1tTZM563wlOzOJkxDR+5KTk9G+fXscO3YMAODn54dFixbB1NRU4mREVJzlaUDFP/74Q3l/woQJsLKyQuPGjfHkyRO1hits+joZb4eZIQddIypqjIyMUL58eZiammLdunUICgpiEURE+ZbrQuinn36CsXHGpeXnz5/H4sWLMWfOHNja2iIgIEDtAQvTnmsvAAANnNnXgKgoSE9PR0zMf6esFy1ahCtXrqBv374SpiIiTZLrpo9nz56hUqVKAIDdu3ejW7duGDx4MJo0aYKWLVuqO1+hehWbAgCIT+F8RERSe/HiBXr37g1jY2Ps378fOjo6MDExyXZAVyKivMp1i5CZmRkiIyMBAIcOHUKrVq0AZDRbZzcHWXFib5ExrUYLl5ISJyHSbgcPHoSrqytOnTqFs2fP4vbt21JHIiINletCyMvLCwMHDsTAgQNx9+5dtG/fHgBw8+ZNlC9fXt35Co1CIfAsKqOQq1iSnaWJpJCWloaJEyeibdu2iIiIQN26dXHlyhVeFUZEBSbXhdCvv/4KDw8PvHnzBjt27FAOYBYSEoJevXqpPWBhef72v9as8jYmEiYh0k7Pnj1Dy5YtMXv2bADA8OHDce7cOVSuXFniZESkyXLdR8jKygqLFy/Osry4T7gakZCivM0xhIgKlxAC3bt3x19//QULCwusWrUK3bp1kzoWEWmBPF0nHh0djVWrVuH27duQyWSoVq0a/P39YWlpqe58hSYuOaODdJkSnGyVqLDJZDIsXboUo0aNwtq1a1GhQgWpIxGRlsh108fly5dRsWJFzJ8/H1FRUYiIiMD8+fNRsWJFXLlypSAyFoo74bEAAEfOOk9UKB4/fozt27cr79etWxenTp1iEUREhSrXLUIBAQHo1KkTVqxYAT29jKenp6dj4MCBGDNmDE6dOqX2kIXh1suMQshQj6fFiArarl27MGDAACQmJsLZ2Rlubm4AMlqGiIgKU55ahL755htlEQQAenp6mDBhAi5fvqzWcFIwNeCo0kQFJSUlBaNGjcKXX36J6Oho1KtXD7a2tlLHIiItlutCyMLCAk+fPs2y/NmzZzA3N1dLKCncCstoEarmYCFxEiLN9ODBAzRp0gSLFi0CAIwfPx6nTp3S6PkLiajoy3Uh5OPjA39/fwQHB+PZs2d4/vw5tmzZgoEDBxbry+ctjfUBAEb6PDVGpG7btm1DvXr1EBISAhsbG+zbtw9z5syBvr6+1NGISMvl+jzQ//3f/0Emk6Ffv35IT8+40kpfXx9ff/01Zs2apfaAheV1XMbl8y6lim+rFlFR9eDBA8TGxqJp06bYvHkzypQpI3UkIiIAgEwIIfLyxMTERDx48ABCCFSqVAkmJsVjEMLY2FhYWloiJiYGFhb/nQYrP/EPAMDhgOaobM9iiCi/hBDKzs8KhQJr165F3759VfoXEhHl1Ie+v/Mrx+eBEhMTMXz4cJQuXRp2dnYYOHAgHBwcULt27WJTBH2IQvFfLWhmxA9povzauHEjPDw8kJCQAADQ0dGBn58fiyAiKnJyXAgFBgZizZo1aN++PXr27InDhw/j66+/LshshSYxTa68XcLEQMIkRMVbYmIiBg4ciK+++gp//fUXlixZInUkIqKPyvGfZzt37sSqVavQs2dPAMBXX32FJk2aQC6XQ1dXt8ACFoZXscnK2xxHiChvbt++jR49euDGjRuQyWT44YcfMHbsWKljERF9VI6/9Z89e4ZmzZop7zdo0AB6enp4+fJlgQQrTClpCuVtDuhGlHtr166Fu7s7bty4gVKlSuHIkSOYMmVKsf8jiYg0X44LIblcDgMD1dNGenp6yivHirNXcRktQpxnjCj3/u///g/9+/dHYmIiWrVqhatXr+Kzzz6TOhYRUY7k+NSYEAL9+/eHoaGhcllycjKGDh0KU1NT5bKdO3eqN2EhePPvpfPP3yZJnISo+OnVqxfmzp2LESNGYOLEiWwFIqJiJceFkK+vb5ZlX331lVrDSCXk8VsAQBVeNk/0SUIIXLhwAR4eHgCA0qVL4+7du8V6ZHki0l45LoRWr15dkDkkZf7vJfNpcsUn1iTSbnFxcRg6dCg2bdqEHTt24MsvvwQAFkFEVGxxUA8A6f+OI9SuloPESYiKrqtXr6JHjx64d+8edHV18eLFC6kjERHlG68Vx38Trurp8ooxovcJIbB06VI0atQI9+7dQ9myZXHq1CmMHDlS6mhERPnGFiEA8n9bhKIT0yROQlS0xMTEYNCgQdi2bRsAoGPHjli9ejVsbGwkTkZEpB5sEQKQmJoxsnQ56+I9VQiRup06dQrbtm2Dnp4e5s2bhz179rAIIiKNInkhtGTJEjg7O8PIyAhubm44ffp0jp539uxZ6OnpwdXVNd8ZIuIzLp+3MeP0GkTv6tixI6ZPn46zZ88iICCAA44SkcbJUyG0fv16NGnSBI6Ojnjy5AkAYMGCBdizZ0+uthMcHIwxY8Zg8uTJCA0NRbNmzdC2bVs8ffr0o8+LiYlBv3798Pnnn+clfhaZ4whxnjHSdm/fvoW/v79KR+jJkyejQYMGEqYiIio4uS6Eli5dirFjx6Jdu3aIjo6GXJ5xWsnKygoLFizI1bbmzZsHf39/DBw4ENWqVcOCBQtQtmxZLF269KPPGzJkCHr37q0cxyQ/5O/MPF/VgZcAk/b666+/ULduXQQFBcHPz0/qOEREhSLXhdCiRYuwYsUKTJ48WWUEWXd3d/z999853k5qaipCQkLQunVrleWtW7fGuXPnPvi81atX48GDBwgMDMzRflJSUhAbG6vy8663ianK21bGbBEi7SOEwNy5c9G0aVM8efIEFStWxMyZM6WORURUKHJdCD169Ah169bNstzQ0BAJCQk53k5ERATkcjns7e1Vltvb2yM8PDzb59y7dw8TJ07Exo0boaeXswveZs6cCUtLS+VP2bJlVR6/Gx6nvG3AmedJy0RGRqJTp04YN24c0tPT0aNHD4SEhMDNzU3qaEREhSLX3/zOzs64evVqluUHDhxA9erVcx3g/c6XQohsO2TK5XL07t0bU6dOhYuLS463P2nSJMTExCh/nj17pvJ4bDIvmSftdPv2bbi6umLfvn0wNDTEsmXLsGXLFlhaWkodjYio0OR6HKHx48dj+PDhSE5OhhACFy9exObNmzFz5kysXLkyx9uxtbWFrq5ultaf169fZ2klAjKG9r98+TJCQ0MxYsQIAIBCoYAQAnp6ejh06FC2M14bGhqqTBT7vpT0jGk1qjlY5Dg7kSYoV64cLCws4OLigq1bt6JOnTpSRyIiKnS5LoT8/PyQnp6OCRMmIDExEb1790bp0qWxcOFC9OzZM8fbMTAwgJubGw4fPowuXboolx8+fBhffPFFlvUtLCyy9EFasmQJjh07hu3bt8PZ2Tm3LwUAEJOU0SJUyuLDxRKRpoiKioKVlRV0dHRgamqKffv2wdbWlnOFEZHWytPI0oMGDcKgQYMQEREBhUIBOzu7PO187Nix6Nu3L9zd3eHh4YHly5fj6dOnGDp0KICM01ovXrzAunXroKOjg5o1a6o8387ODkZGRlmW50ZUQkZnaQtj/Txvg6g4OHnyJHr16oUxY8ZgwoQJAJDnPyCIiDRFvqbYsLW1zdfOfXx8EBkZiWnTpiEsLAw1a9bE/v374eTkBAAICwv75JhC+ZU5mGJJM7YIkWaSy+X46aefMGXKFCgUCmzcuBEBAQHQ12fxT0QkE0KIT6/2H2dn54+OLvvw4cN8hypIsbGxsLS0RExMDCwsLDA2+Cp2hr7AuNYuGPFZZanjEalVeHg4vvrqKxw9ehQA0L9/fyxevBimpqYSJyMiyp33v7/VJdctQmPGjFG5n5aWhtDQUBw8eBDjx49XV65Ck/7vgIrGBpx/ljTL0aNH0adPH7x69QomJiZYunQp+vXrJ3UsIqIiJdff/qNHj852+a+//orLly/nO1Bhk//bIKbLKZRIg7x69QodOnRAcnIyatasiW3btqFq1apSxyIiKnLUNoJg27ZtsWPHDnVtrtCkpGVcPq+ry8EUSXPY29tjzpw5GDRoEC5evMgiiIjoA9R2Pmj79u2wtrZW1+YKTXxKxuXzJvq6n1iTqGj7888/YWdnpxz5fcSIEZwtnojoE3JdCNWtW1flw1UIgfDwcLx58wZLlixRa7jC8CgiY1oQXj5PxVV6ejq+//57zJo1CxUrVsSVK1dgYWHBIoiIKAdyXQh17txZ5b6Ojg5KliyJli1bFsvm9/jkdAAAz4xRcfTs2TP06tULZ8+eBQB4e3vDwICTBxMR5VSuCqH09HSUL18e3t7eKFWqVEFlKlQJqXIAgC3HEaJi5o8//kC/fv0QFRUFCwsLrFy5Et27d5c6FhFRsZKrdhA9PT18/fXXSElJKag8hSpNrlDeLmHCv6KpeEhPT8f48ePRoUMHREVFwd3dHaGhoSyCiIjyINcnhBo2bIjQ0NCCyFLoHv/bPwgASlsZS5iEKOd0dHSU8+6NHj0aZ86cQYUKFSRORURUPOW6j9CwYcPwv//9D8+fP4ebm1uWEWpr166ttnAF7XXcfy1bOjrsWEpFm0KhgI6ODnR0dLBu3Tr89ddf6Nixo9SxiIiKtRwXQgMGDMCCBQvg4+MDABg1apTyMZlMBiEEZDIZ5HK5+lMWkIuPogAAtmY8LUZFV0pKCsaPH4/ExESsXLkSQMaEwyyCiIjyL8eF0Nq1azFr1iw8evSoIPMUquS0jKItc1BFoqLmwYMH8PHxQUhICABg+PDhynGCiIgo/3JcCGXOzZo5M7wmMDPMePmu5aykDUKUjW3btmHgwIGIjY2FtbU11q1bxyKIiEjNctVZWtMGaLvzKg4AULGkmcRJiP6TnJyMYcOGoUePHoiNjUWTJk1w9epVtG/fXupoREQaJ1edpV1cXD5ZDEVFReUrUGEyN8oYTToiXjOGAyDN0KlTJxw+fBgAMGnSJEybNg16emqbDYeIiN6Rq0/XqVOnwtLSsqCyFLpLjzOKtmoOFhInIfpPQEAArl27hnXr1sHb21vqOEREGi1XhVDPnj1hZ2dXUFkKXZkSxrj/Oh6JqelSRyEtlpiYiFu3bsHd3R0A0LZtWzx8+DDL0BRERKR+Oe4jpGn9gwBArsjoAM4+QiSV27dvo2HDhvDy8sLjx4+Vy1kEEREVjhwXQplXjWkSxb+vSZeDKZIE1q5dC3d3d9y4cQOGhoYICwuTOhIRkdbJ8akxhULzxtrJbBHS0cDWLiq6EhISMHz4cKxduxYA8Pnnn2PDhg0aM5ExEVFxkuu5xjTJv3UQW4So0Ny4cQP169fH2rVroaOjgx9//BF//vkniyAiIolo9TW5CmWLkMRBSGusXLkSt2/fhqOjIzZt2oQWLVpIHYmISKtpdSEkFzw1RoVr1qxZAIDJkyejZMmSEqchIiKtPjUW+jQaAE+NUcG5evUq/P39lZMRGxkZYcGCBSyCiIiKCK0uhCqWzLhEObPTNJG6CCGwdOlSNGrUCEFBQZg7d67UkYiIKBtafWos+d9Z50uaG0qchDRJTEwMBg8ejK1btwIAOnToAH9/f4lTERFRdrS6RehtYioAwNRQq+tBUqOQkBDUq1cPW7duhZ6eHubOnYu9e/fCxsZG6mhERJQNra0AhBBITM3ot1HCxEDiNKQJNm3aBD8/P6SmpsLJyQnBwcFo2LCh1LGIiOgjtLZFKCX9vwEijfS19m0gNapduzZ0dXXRpUsXhIaGsggiIioGtLZFKC4pTXnbxEBr3wbKp9evXysnIq5ZsyYuX76MatWqaeTcfEREmkhrm0JiUzJmnNfXlfHyeco1hUKBuXPnonz58jh//rxyefXq1VkEEREVI1pbCCX/2z8oTc5L5yl3IiMj0alTJ4wbNw5JSUkIDg6WOhIREeWR1p4TSvt3EtlSFkYSJ6Hi5OzZs+jZsyeeP38OQ0NDLFiwAEOGDJE6FhER5ZHWtgil/9sSZGKgK3ESKg4UCgVmzZqFFi1a4Pnz56hcuTIuXLiAoUOH8lQYEVExprWFUOYpMT1dfonRp+3evRuTJk2CXC5H7969ERISAldXV6ljERFRPmntqbGohBQAgLE+W4To07p06YLevXvD09MT/v7+bAUiItIQWlsIPXyTAACwNuVgipSVXC7Hr7/+iv79+8PCwgIymQwbN26UOhYREamZ1p4aMzHMaAl6GZ0scRIqasLDw+Ht7Y3Ro0djyJAhEIJXFhIRaSqtbRFKS8/4cqtbzkraIFSkHD16FH369MGrV69gYmKCNm3a8DQYEZEG09oWobuvYgEAhnpa+xbQO+RyOQIDA+Hl5YVXr16hZs2auHTpEnx9faWORkREBUhrW4T0dDMKoMiEVImTkNTCw8PRs2dPnDx5EgAwcOBALFy4ECYmJhInIyKigqa1hdD91/EAgKqlzCVOQlLT0dHB3bt3YWZmht9++w29e/eWOhIRERUSrS2EohJSAeix/4eWUigU0NHJaBW0s7PDjh07YGNjAxcXF4mTERFRYdLaDjI2ZoYAAFszXj6vbZ49e4bmzZtj06ZNymUeHh4sgoiItJDWFkKZl0Q7WBpLnIQK0759++Dq6oqzZ89iwoQJSElJkToSERFJSGsLoXQFp9jQJqmpqRg3bhw6duyIqKgouLm54eTJkzA0NJQ6GhERSUhrC6FnUUkAAH1drX0LtMbjx4/RvHlzzJ07FwAwatQonD17FhUrVpQ4GRERSU1rO0unyRXQ0QN02Flao0VGRsLNzQ1RUVGwsrJCUFAQunTpInUsIiIqIrS2EMpkb8FTI5rMxsYG/v7+OHnyJIKDg1G+fHmpIxERURGi9YUQJ13VPA8fPoSenh7KlSsHAJgxYwaEEDAw4LEmIiJVWt9Bhn2ENMv27dtRt25d+Pj4IC0tDQCgr6/PIoiIiLKl9VWAng77CGmC5ORkDBs2DN27d0dsbCx0dHQQExMjdSwiIiritL4Q4sjSxd+9e/fg4eGBpUuXAgAmTpyIEydOwNbWVuJkRERU1Gl1HyEjfa2vA4u9zZs3Y/DgwYiPj4etrS3Wr1+PNm3aSB2LiIiKCa0uhMwMtfrlF3vp6emYM2cO4uPjlVNmlC5dWupYRERUjGh1JaCnwxah4kxPTw9bt27Fpk2bMHnyZOjpafWvMxER5YFWVwK67Chd7Kxbtw6zZ89W3q9cuTICAwNZBBERUZ5o9bfHi+gkqSNQDiUkJGDEiBFYs2YNZDIZPvvsM9SvX1/qWEREVMxpdSFUpgRnni8Obty4gR49euD27dvQ0dHBlClTUK9ePaljERGRBtDqQqiGo4XUEegjhBAICgrCyJEjkZSUBAcHB2zatAktW7aUOhoREWkIrS6EDPR0pY5AHzFkyBCsWLECAODt7Y1169bBzs5O4lRERKRJtLqzdHgM+wgVZQ0aNICuri5mzpyJ/fv3swgiIiK10+oWofrlraWOQO8QQuD169ewt7cHAPj7+6Np06aoWrWqxMmIiEhTSd4itGTJEjg7O8PIyAhubm44ffr0B9fduXMnvLy8ULJkSVhYWMDDwwN//vlnIaalghIbG4uePXuiQYMGePv2LYCM6U9YBBERUUGStBAKDg7GmDFjMHnyZISGhqJZs2Zo27Ytnj59mu36p06dgpeXF/bv34+QkBB4enqiY8eOCA0NzdP+Y5PT8hOf1CQkJAT16tXD1q1b8fLly48Ww0REROokE0IIqXbesGFD1KtXTzlZJgBUq1YNnTt3xsyZM3O0jRo1asDHxwc//PBDjtaPjY2FpaUlyo7Ziu+7uGFQ8wp5yk75J4TA4sWLMW7cOKSmpsLJyQlbtmxBo0aNpI5GRERFTOb3d0xMDCws1HfVt2QtQqmpqQgJCUHr1q1Vlrdu3Rrnzp3L0TYUCgXi4uJgbf3hvj4pKSmIjY1V+cnEieel8/btW3Tt2hWjRo1CamoqOnfujNDQUBZBRERUqCQrhCIiIiCXy5UdYzPZ29sjPDw8R9uYO3cuEhIS0KNHjw+uM3PmTFhaWip/ypYtq3yMU2xI59tvv8WuXbugr6+PhQsXYufOnShRooTUsYiISMtI3lla9l6zjBAiy7LsbN68GVOmTEFwcPBHL6ueNGkSYmJilD/Pnj1TPqbDJiHJzJgxA56enjh37hxGjRqVo2NORESkbpJdPm9rawtdXd0srT/vXj79IcHBwfD398e2bdvQqlWrj65raGgIQ0PDbB/TYYtQoYmKisK6deswevRoyGQyWFtb49ixY1LHIiIiLSdZi5CBgQHc3Nxw+PBhleWHDx9G48aNP/i8zZs3o3///ti0aRPat2+frwy6bIUoFOfOnYOrqysCAgKwatUqqeMQEREpSTqg4tixY9G3b1+4u7vDw8MDy5cvx9OnTzF06FAAGae1Xrx4gXXr1gHIKIL69euHhQsXolGjRsrWJGNjY1haWuZ6/2wQKlgKhQI///wzJk+eDLlcjsqVK8Pd3V3qWEREREqSFkI+Pj6IjIzEtGnTEBYWhpo1a2L//v1wcnICAISFhamMKfTbb78hPT0dw4cPx/Dhw5XLfX19sWbNmlzv/20ixxEqKG/evIGvry8OHDgAAOjVqxd+++03mJubS5yMiIjoP5KOIySFd8cR+rV/E3Ss4yh1JI1z5swZ+Pj44OXLlzAyMsKiRYvg7+/PDtFERJRnBTWOkFbPNcbL5wtGWloawsLCULVqVWzduhW1atWSOhIREVG2tLoQ4uXz6iOXy6GrqwsA8PT0xM6dO9GqVSuYmZlJnIyIiOjDJB9HSEpsEVKPo0ePolq1arh3755yWefOnVkEERFRkaflhZDUCYo3uVyOwMBAeHl54d69ewgMDJQ6EhERUa7w1BjlycuXL9GnTx+cOHECAODv749ffvlF2lBERES5pNWFUGq6QuoIxdKff/6Jvn374s2bNzA1NcVvv/2GPn36SB2LiIgo17S6ECphaiB1hGLnwIEDaNeuHQCgTp062Lp1K1xcXCRORURElDdaXQjpsbN0rrVq1QqNGjWCq6sr5s2bB2NjY6kjERER5ZlWF0K8aixnTp48icaNG0NfXx/6+vo4duwYCyAiItIIWn3dFAuhj0tLS8OECRPQsmVLfPfdd8rlLIKIiEhTsEWIsvXkyRP07NkTFy5cAACkpKRACMFpMoiISKNodyHEL/Vs7d69G35+foiOjoalpSWCgoLw5ZdfSh2LiIhI7bT61JgeR1RUkZqaijFjxqBLly6Ijo5GgwYNEBoayiKIiIg0llZXAsb6ulJHKFKePXuGlStXAgDGjh2L06dPw9nZWeJUREREBUe7T42xj5CKihUrYvXq1TAyMkLHjh2ljkNERFTgtLpFSNvHEUpOTsbIkSOV02QAQPfu3VkEERGR1tDuFiFd7S2E7t27Bx8fH4SGhmLnzp24f/8+L4snIiKto9UtQvo62vnyt2zZgnr16iE0NBS2trZYuXIliyAiItJK2lkJ/MvYQLs6SyclJWHIkCHo1asX4uPj0axZM1y9ehVt27aVOhoREZEktPbUmLGBdtWA0dHRaN68Of7++2/IZDJMnjwZgYGB0NPT2l8BIiIi7S2EklIVUkcoVJaWlqhRowZevXqFDRs2wMvLS+pIREREktPaQkgbWoQSEhKQnp4OS0tLyGQy/Pbbb0hISICDg4PU0YiIiIoEza8GPqC0lWZ3Dr558yYaNGiA/v37QwgBALCwsGARRERE9A6tLYTuv06QOkKBEEIgKCgI9evXx61bt/DXX3/h+fPnUsciIiIqkrS2EHItayV1BLWLj49H37594e/vj6SkJLRu3RpXr15F2bJlpY5GRERUJGltIaRpM89fu3YNbm5u2LhxI3R1dfHTTz/hwIEDsLOzkzoaERFRkaW1naU1qQ6Sy+Xo0aMH7t69i9KlS2PLli1o2rSp1LGIiIiKPO1tEdKgecZ0dXWxevVqfPHFF7h69SqLICIiohzS2kJIp5g3CV25cgXbtm1T3m/cuDF2794NW1tbCVMREREVL1pbCMmK6SsXQmDx4sXw8PCAr68vbt68KXUkIiKiYktr+wgVxzNj0dHR8Pf3x86dOwEAnTp14rhARERE+VBM20XyT6+YzTx/8eJF1K1bFzt37oS+vj4WLFiA3bt3w9raWupoRERExZbWtgiZFKOZ5xcuXIjx48cjLS0Nzs7OCA4ORv369aWORUREVOwVr2YRNSpOLUJRUVFIS0tD165dceXKFRZBREREaqK1LUJFvY9Qeno69PQyDs8PP/yAWrVqoWvXrpAV86vdiIiIipLi0yyiZkX18nmFQoE5c+agadOmSElJAZAxTlC3bt1YBBEREamZ9hZCRfCVv3nzBh06dMA333yDv/76C5s3b5Y6EhERkUYrguVA4ShqrSunTp2Cq6srDhw4ACMjIyxfvhy+vr5SxyIiItJoWlsIFZU+QgqFAjNmzICnpydevnyJKlWq4K+//sKgQYOKXLFGRESkabS2ECoqs89PmDAB3333HRQKBfr27YvLly+jdu3aUsciIiLSClpbCBWV1pYRI0bA0dERQUFBWLt2LczMzKSOREREpDW09vL5VLlCkv3K5XIcP34crVq1AgCUL18eDx48gJGRkSR5iIiItJnWtgjFJaUV+j7DwsLg5eUFLy8vHDhwQLmcRRAREZE0tLYQKlPCpFD3d/jwYbi6uuL48eMwNTVFXFxcoe6fiIiIstLaQqiwugilp6fju+++g7e3N16/fo3atWvj8uXL6NGjR+EEICIiog/S2j5CheH58+fo3bs3Tp8+DQAYMmQI5s+fD2NjY4mTEREREaDFhZAMBd8kdPr0aZw+fRrm5uZYsWIFfHx8CnyfRERElHPaWwgVwqmxXr164fHjx+jevTsqVapU8DskIiKiXNHePkIFsM2nT5+ia9euePPmjXLZpEmTWAQREREVUVrbIqTuJqG9e/eif//+ePv2LfT09BAcHKzW7RMREZH6sUUon1JTUxEQEIAvvvgCb9++Rf369TFr1iw1bZ2IiIgKkvYWQmqohB49eoSmTZtiwYIFAICAgACcOXMGzs7O+d84ERERFTjtPTWWT+fPn0fbtm0RExODEiVKYM2aNejUqZPUsYiIiCgXtLYQyu/l8zVq1ICtrS2qV6+OzZs3w8nJSU3JiIiIqLBobyGUhzroxYsXcHR0hEwmg4WFBY4ePQpHR0fo6+urPyAREREVOK3tI5RbwcHBqFatGn799VflMicnJxZBRERExZjWFkI5bRFKSkrCkCFD0LNnT8TFxWHPnj0QQhRsOCIiIioULIQ+4s6dO2jUqBGWL18OmUyGyZMn48CBA5AV1oytREREVKC0to/Qp2zYsAFDhw5FQkIC7OzssGHDBnh5eUkdi4iIiNRIawuhjzXq3Lt3D/3794dcLoenpyc2btwIBweHwgtHREREhUJrC6GPqVy5MmbOnInExER899130NXVlToSERERFQCtLYTeHUdICIG1a9eifv36qFGjBgBg/PjxUkUjIiKiQiJ5Z+klS5bA2dkZRkZGcHNzw+nTpz+6/smTJ+Hm5gYjIyNUqFABy5Yty9N+M0+NxcfHw9fXF35+fujRowcSExPztD0iIiIqfiQthIKDgzFmzBhMnjwZoaGhaNasGdq2bYunT59mu/6jR4/Qrl07NGvWDKGhofj2228xatQo7NixI9f7lgG4fv063N3dsX79eujo6KBPnz4wMjLK56siIiKi4kImJBwUp2HDhqhXrx6WLl2qXFatWjV07twZM2fOzLL+N998g7179+L27dvKZUOHDsW1a9dw/vz5HO0zNjYWlpaW6DHiO+xZ8TNSUlJQunRpbN68Gc2aNcv/iyIiIiK1y/z+jomJgYWFhdq2K1mLUGpqKkJCQtC6dWuV5a1bt8a5c+eyfc758+ezrO/t7Y3Lly8jLS0tV/vfung6UlJS0LZtW1y9epVFEBERkRaSrLN0REQE5HI57O3tVZbb29sjPDw82+eEh4dnu356ejoiIiKyvcQ9JSUFKSkpyvsxMTEZN2QyTJs6FSNHjoSOjg5iY2Pz+YqIiIiooGR+T6v7RJbkV429P0qzEOKjIzdnt352yzPNnDkTU6dOzfqAEPjhhx/www8/5DIxERERSSUyMhKWlpZq255khZCtrS10dXWztP68fv06S6tPplKlSmW7vp6eHmxsbLJ9zqRJkzB27Fjl/ejoaDg5OeHp06dqfSMpb2JjY1G2bFk8e/ZMred8Kfd4LIoOHouig8ei6IiJiUG5cuVgbW2t1u1KVggZGBjAzc0Nhw8fRpcuXZTLDx8+jC+++CLb53h4eOD3339XWXbo0CG4u7t/cBZ4Q0NDGBoaZlluaWnJX+oixMLCgsejiOCxKDp4LIoOHouiQ0dHvd2bJb18fuzYsVi5ciWCgoJw+/ZtBAQE4OnTpxg6dCiAjNacfv36KdcfOnQonjx5grFjx+L27dsICgrCqlWrMG7cOKleAhERERVjkvYR8vHxQWRkJKZNm4awsDDUrFkT+/fvh5OTEwAgLCxMZUwhZ2dn7N+/HwEBAfj111/h6OiIX375BV27dpXqJRAREVExJnln6WHDhmHYsGHZPrZmzZosy1q0aIErV67keX+GhoYIDAzM9nQZFT4ej6KDx6Lo4LEoOngsio6COhaSDqhIREREJCXJ5xojIiIikgoLISIiItJaLISIiIhIa7EQIiIiIq2lkYXQkiVL4OzsDCMjI7i5ueH06dMfXf/kyZNwc3ODkZERKlSogGXLlhVSUs2Xm2Oxc+dOeHl5oWTJkrCwsICHhwf+/PPPQkyr+XL7fyPT2bNnoaenB1dX14INqEVyeyxSUlIwefJkODk5wdDQEBUrVkRQUFAhpdVsuT0WGzduRJ06dWBiYgIHBwf4+fkhMjKykNJqrlOnTqFjx45wdHSETCbD7t27P/kctXx/Cw2zZcsWoa+vL1asWCFu3bolRo8eLUxNTcWTJ0+yXf/hw4fCxMREjB49Wty6dUusWLFC6Ovri+3btxdycs2T22MxevRoMXv2bHHx4kVx9+5dMWnSJKGvry+uXLlSyMk1U26PR6bo6GhRoUIF0bp1a1GnTp3CCavh8nIsOnXqJBo2bCgOHz4sHj16JP766y9x9uzZQkytmXJ7LE6fPi10dHTEwoULxcOHD8Xp06dFjRo1ROfOnQs5uebZv3+/mDx5stixY4cAIHbt2vXR9dX1/a1xhVCDBg3E0KFDVZZVrVpVTJw4Mdv1J0yYIKpWraqybMiQIaJRo0YFllFb5PZYZKd69epi6tSp6o6mlfJ6PHx8fMR3330nAgMDWQipSW6PxYEDB4SlpaWIjIwsjHhaJbfH4ueffxYVKlRQWfbLL7+IMmXKFFhGbZSTQkhd398adWosNTUVISEhaN26tcry1q1b49y5c9k+5/z581nW9/b2xuXLl5GWllZgWTVdXo7F+xQKBeLi4tQ+wZ42yuvxWL16NR48eIDAwMCCjqg18nIs9u7dC3d3d8yZMwelS5eGi4sLxo0bh6SkpMKIrLHyciwaN26M58+fY//+/RBC4NWrV9i+fTvat29fGJHpHer6/pZ8ZGl1ioiIgFwuzzJ7vb29fZZZ6zOFh4dnu356ejoiIiLg4OBQYHk1WV6Oxfvmzp2LhIQE9OjRoyAiapW8HI979+5h4sSJOH36NPT0NOqjQlJ5ORYPHz7EmTNnYGRkhF27diEiIgLDhg1DVFQU+wnlQ16ORePGjbFx40b4+PggOTkZ6enp6NSpExYtWlQYkekd6vr+1qgWoUwymUzlvhAiy7JPrZ/dcsq93B6LTJs3b8aUKVMQHBwMOzu7goqndXJ6PORyOXr37o2pU6fCxcWlsOJpldz831AoFJDJZNi4cSMaNGiAdu3aYd68eVizZg1bhdQgN8fi1q1bGDVqFH744QeEhITg4MGDePTokXKycCpc6vj+1qg/82xtbaGrq5ulkn/9+nWWqjFTqVKlsl1fT08PNjY2BZZV0+XlWGQKDg6Gv78/tm3bhlatWhVkTK2R2+MRFxeHy5cvIzQ0FCNGjACQ8WUshICenh4OHTqEzz77rFCya5q8/N9wcHBA6dKlYWlpqVxWrVo1CCHw/PlzVK5cuUAza6q8HIuZM2eiSZMmGD9+PACgdu3aMDU1RbNmzTB9+nSeRShE6vr+1qgWIQMDA7i5ueHw4cMqyw8fPozGjRtn+xwPD48s6x86dAju7u7Q19cvsKyaLi/HAshoCerfvz82bdrEc+5qlNvjYWFhgb///htXr15V/gwdOhRVqlTB1atX0bBhw8KKrnHy8n+jSZMmePnyJeLj45XL7t69Cx0dHZQpU6ZA82qyvByLxMRE6OiofnXq6uoC+K81ggqH2r6/c9W1uhjIvBRy1apV4tatW2LMmDHC1NRUPH78WAghxMSJE0Xfvn2V62defhcQECBu3bolVq1axcvn1SS3x2LTpk1CT09P/PrrryIsLEz5Ex0dLdVL0Ci5PR7v41Vj6pPbYxEXFyfKlCkjunXrJm7evClOnjwpKleuLAYOHCjVS9AYuT0Wq1evFnp6emLJkiXiwYMH4syZM8Ld3V00aNBAqpegMeLi4kRoaKgIDQ0VAMS8efNEaGiociiDgvr+1rhCSAghfv31V+Hk5CQMDAxEvXr1xMmTJ5WP+fr6ihYtWqisf+LECVG3bl1hYGAgypcvL5YuXVrIiTVXbo5FixYtBIAsP76+voUfXEPl9v/Gu1gIqVduj8Xt27dFq1athLGxsShTpowYO3asSExMLOTUmim3x+KXX34R1atXF8bGxsLBwUH06dNHPH/+vJBTa57jx49/9DugoL6/ZUKwLY+IiIi0k0b1ESIiIiLKDRZCREREpLVYCBEREZHWYiFEREREWouFEBEREWktFkJERESktVgIERERkdZiIUREKtasWQMrKyupY+RZ+fLlsWDBgo+uM2XKFLi6uhZKHiIq2lgIEWmg/v37QyaTZfm5f/++1NGwZs0alUwODg7o0aMHHj16pJbtX7p0CYMHD1bel8lk2L17t8o648aNw9GjR9Wyvw95/3Xa29ujY8eOuHnzZq63U5wLU6KijoUQkYZq06YNwsLCVH6cnZ2ljgUgY1LXsLAwvHz5Eps2bcLVq1fRqVMnyOXyfG+7ZMmSMDEx+eg6ZmZmuZqdOq/efZ1//PEHEhIS0L59e6Smphb4vokoZ1gIEWkoQ0NDlCpVSuVHV1cX8+bNQ61atWBqaoqyZcti2LBhKrOav+/atWvw9PSEubk5LCws4ObmhsuXLysfP3fuHJo3bw5jY2OULVsWo0aNQkJCwkezyWQylCpVCg4ODvD09ERgYCBu3LihbLFaunQpKlasCAMDA1SpUgXr169Xef6UKVNQrlw5GBoawtHREaNGjVI+9u6psfLlywMAunTpAplMprz/7qmxP//8E0ZGRoiOjlbZx6hRo9CiRQu1vU53d3cEBATgyZMnuHPnjnKdjx2PEydOwM/PDzExMcqWpSlTpgAAUlNTMWHCBJQuXRqmpqZo2LAhTpw48dE8RJQVCyEiLaOjo4NffvkFN27cwNq1a3Hs2DFMmDDhg+v36dMHZcqUwaVLlxASEoKJEydCX18fAPD333/D29sbX375Ja5fv47g4GCcOXMGI0aMyFUmY2NjAEBaWhp27dqF0aNH43//+x9u3LiBIUOGwM/PD8ePHwcAbN++HfPnz8dvv/2Ge/fuYffu3ahVq1a227106RIAYPXq1QgLC1Pef1erVq1gZWWFHTt2KJfJ5XJs3boVffr0UdvrjI6OxqZNmwBA+f4BHz8ejRs3xoIFC5QtS2FhYRg3bhwAwM/PD2fPnsWWLVtw/fp1dO/eHW3atMG9e/dynImIAI2cfZ5I2/n6+gpdXV1hamqq/OnWrVu2627dulXY2Ngo769evVpYWloq75ubm4s1a9Zk+9y+ffuKwYMHqyw7ffq00NHREUlJSdk+5/3tP3v2TDRq1EiUKVNGpKSkiMaNG4tBgwapPKd79+6iXbt2Qggh5s6dK1xcXERqamq223dychLz589X3gcgdu3apbJOYGCgqFOnjvL+qFGjxGeffaa8/+effwoDAwMRFRWVr9cJQJiamgoTExPlTNqdOnXKdv1MnzoeQghx//59IZPJxIsXL1SWf/7552LSpEkf3T4RqdKTtgwjooLi6emJpUuXKu+bmpoCAI4fP46ffvoJt27dQmxsLNLT05GcnIyEhATlOu8aO3YsBg4ciPXr16NVq1bo3r07KlasCAAICQnB/fv3sXHjRuX6QggoFAo8evQI1apVyzZbTEwMzMzMIIRAYmIi6tWrh507d8LAwAC3b99W6ewMAE2aNMHChQsBAN27d8eCBQtQoUIFtGnTBu3atUPHjh2hp5f3j7M+ffrAw8MDL1++hKOjIzZu3Ih27dqhRIkS+Xqd5ubmuHLlCtLT03Hy5En8/PPPWLZsmco6uT0eAHDlyhUIIeDi4qKyPCUlpVD6PhFpEhZCRBrK1NQUlSpVUln25MkTtGvXDkOHDsWPP/4Ia2trnDlzBv7+/khLS8t2O1OmTEHv3r3xxx9/4MCBAwgMDMSWLVvQpUsXKBQKDBkyRKWPTqZy5cp9MFtmgaCjowN7e/ssX/gymUzlvhBCuaxs2bK4c+cODh8+jCNHjmDYsGH4+eefcfLkSZVTTrnRoEEDVKxYEVu2bMHXX3+NXbt2YfXq1crH8/o6dXR0lMegatWqCA8Ph4+PD06dOgUgb8cjM4+uri5CQkKgq6ur8piZmVmuXjuRtmMhRKRFLl++jPT0dMydOxc6OhldBLdu3frJ57m4uMDFxQUBAQHo1asXVq9ejS5duqBevXq4efNmloLrU94tEN5XrVo1nDlzBv369VMuO3funEqri7GxMTp16oROnTph+PDhqFq1Kv7++2/Uq1cvy/b09fVzdDVa7969sXHjRpQpUwY6Ojpo37698rG8vs73BQQEYN68edi1axe6dOmSo+NhYGCQJX/dunUhl8vx+vVrNGvWLF+ZiLQdO0sTaZGKFSsiPT0dixYtwsOHD7F+/fosp2relZSUhBEjRuDEiRN48uQJzp49i0uXLimLkm+++Qbnz5/H8OHDcfXqVdy7dw979+7FyJEj85xx/PjxWLNmDZYtW4Z79+5h3rx52Llzp7KT8Jo1a7Bq1SrcuHFD+RqMjY3h5OSU7fbKly+Po0ePIjw8HG/fvv3gfvv06YMrV65gxowZ6NatG4yMjJSPqet1WlhYYODAgQgMDIQQIkfHo3z58oiPj8fRo0cRERGBxMREuLi4oE+fPujXrx927tyJR48e4dKlS5g9ezb279+fq0xEWk/KDkpEVDB8fX3FF198ke1j8+bNEw4ODsLY2Fh4e3uLdevWCQDi7du3QgjVzrkpKSmiZ8+eomzZssLAwEA4OjqKESNGqHQQvnjxovDy8hJmZmbC1NRU1K5dW8yYMeOD2bLr/Pu+JUuWiAoVKgh9fX3h4uIi1q1bp3xs165domHDhsLCwkKYmpqKRo0aiSNHjigff7+z9N69e0WlSpWEnp6ecHJyEkJk7SydqX79+gKAOHbsWJbH1PU6nzx5IvT09ERwcLAQ4tPHQwghhg4dKmxsbAQAERgYKIQQIjU1Vfzwww+ifPnyQl9fX5QqVUp06dJFXL9+/YOZiCgrmRBCSFuKEREREUmDp8aIiIhIa7EQIiIiIq3FQoiIiIi0FgshIiIi0loshIiIiEhrsRAiIiIircVCiIiIiLQWCyEiIiLSWiyEiIiISGuxECIiIiKtxUKIiIiItBYLISIiItJa/w/u1WuJwGwZFwAAAABJRU5ErkJggg==", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "roc_auc, fpr, tpr, ROCthresholds = ROC_curve(model, testXold, testYold)\n", + "\n", + "fig, ax = plt.subplots()\n", + "ax.plot(fpr, tpr)\n", + "ax.plot([0, 1], [0, 1], 'k--')\n", + "ax.set_xlim([0.0, 1.0])\n", + "ax.set_ylim([0.0, 1.0])\n", + "ax.set_xlabel('False Positive Rate')\n", + "ax.set_ylabel('True Positive Rate')\n", + "ax.set_title('ROC curve when tested on all systems (AUC = {0:.3f})'.format(roc_auc))" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "AUC: 0.9527061313707524 \n", + "FPR: 0.1329466490553035\n" + ] + } + ], + "source": [ + "tprthreshindex = np.where(tpr >=0.9)[0][0]\n", + "falsePos = fpr[tprthreshindex]\n", + "print(f\"AUC: {roc_auc} \\nFPR: {falsePos}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "**AUC when only testing on systems that are stable during short integration phase**" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "Text(0.5, 1.0, 'ROC curve when tested on only initially stable systems (AUC = 0.949)')" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "roc_auc, fpr, tpr, ROCthresholds = ROC_curve(model, testXstable, testYstable)\n", + "\n", + "fig, ax = plt.subplots()\n", + "ax.plot(fpr, tpr)\n", + "ax.plot([0, 1], [0, 1], 'k--')\n", + "ax.set_xlim([0.0, 1.0])\n", + "ax.set_ylim([0.0, 1.0])\n", + "ax.set_xlabel('False Positive Rate')\n", + "ax.set_ylabel('True Positive Rate')\n", + "ax.set_title('ROC curve when tested on only initially stable systems (AUC = {0:.3f})'.format(roc_auc))" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "AUC: 0.9489954178187129 \n", + "FPR: 0.14488031081589173\n" + ] + } + ], + "source": [ + "tprthreshindex = np.where(tpr >=0.9)[0][0]\n", + "falsePos = fpr[tprthreshindex]\n", + "print(f\"AUC: {roc_auc} \\nFPR: {falsePos}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Discussion\n", + "We can see that the AUC when testing on only initially stable systems in notable lower. This provides a more realistic sense of SPOCKs performance since we realistically do not care about predictions on systems who go unstable during their short integrations since we are already sure they are unstable" + ] + } + ], + "metadata": { + "kernelspec": { + "display_name": "ethadhani", + "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": "3.10.13" + } + }, + "nbformat": 4, + "nbformat_minor": 2 +} diff --git a/pyproject.toml b/pyproject.toml index f76c6c6..a34197d 100644 --- a/pyproject.toml +++ b/pyproject.toml @@ -27,7 +27,7 @@ classifiers = [ ] dependencies = [ "rebound>=4.0.1,<5.0.0", # classifier regressor analytical - "scikit-learn<2.0.0", # classifier regressor + "scikit-learn<1.6.0", # classifier regressor "xgboost>=1.1.0,<3.0.0", # classifier "torch>=1.5.1,<3.0.0", # regressor "safetensors>=0.4.0,<0.5.0", # regressor diff --git a/spock/ClassifierSeries.py b/spock/ClassifierSeries.py new file mode 100644 index 0000000..26c3325 --- /dev/null +++ b/spock/ClassifierSeries.py @@ -0,0 +1,109 @@ +import rebound +import numpy as np +from collections import OrderedDict +import warnings +import pandas as pd +from spock import features + + + + + + +def get_tseries(sim, args): + '''Gets the time series list of data for one simulation of N bodies. + + Arguments: + sim: simulation in question + args: arguments in format [number of orbits, + number of data collections equally spaced, list of trios] + + return: + triotseries: The time series of collected data for each trio + stable: whether or not the end configuration is stable + ''' + Norbits = args[0] # number of orbits + Nout = args[1] # number of data collection + trios = args[2] # list of each planet set trio + # determine the smallest period that a particle in the system has + minP = np.min([np.abs(p.P) for p in sim.particles[1:sim.N_real]]) + + + times = np.linspace(0, Norbits*minP, Nout) # list of times to integrate to + + triotseries: list[features.Trio] = [] + # forms the list that will later consist of each trio pair, + # and the tseries for each list + + for tr, trio in enumerate(trios): # in each trio there is two adjacent pairs + # fills triopairs with each pair, + # and fills triotseries with the Trio class + triotseries.append(features.Trio(trio, sim)) + triotseries[tr].fillVal(Nout) + # puts in the valeus that depend on initial cond + triotseries[tr].startingFeatures(sim) + # triotseries will be a list of the obj that have all the data and Trio + + stable = True + for i, time in enumerate(times): + # intigrates each step and collects required data + try: + + sim.integrate(time, exact_finish_time = 0) + if (sim._status == 4 or sim._status == 7): + # check for escaped particles or collisions + stable=False + return [triotseries, stable] + except: + # catch exception + # sim._status == 7 is checking for collisions and sim._status==4 + # is checking for ejections + if sim._status == 7 or sim._status == 4 : + # case of ejection or collision + stable = False + return [triotseries, stable] + else: + # something else went wrong + raise + for tr, trio in enumerate(trios): + # populates data for each trio + triotseries[tr].populateData( sim, minP,i) + # returns list of objects and whether or not stable after short integration + return [triotseries, stable] + + +def getsecT(sim, trio): + '''Calculates the secular time scale for a given trio in a simulation + + Arguments: + sim: the simulation that contains the trio who's + secular time scale you want + trio: the trio who's secular timescale you want, + Note: should be a list of body indexes + + Note: This is done in accordance to Yang & Tamayo 2024 + ''' + ps = sim.particles + p1, p2, p3 = ps[trio[0]], ps[trio[1]], ps[trio[2]] + # determine the smallest period that a particle in the system has + minP = np.min([np.abs(p.P) for p in sim.particles[1:sim.N_real]]) + m1 = p1.m + m2 = p2.m + m3 = p3.m + m_tot = m1 + m2 + m3 + mu1 = m1 / m_tot + mu3 = m3 / m_tot + alpha12 = p1.a / p2.a + alpha23 = p2.a / p3.a + + ec12 = alpha12**(-1 / 4) * alpha23**(3 / 4) * alpha23**(-1 / 8) * (1 - alpha12) + ec23 = alpha23**(-1 / 2) * alpha12**(1 / 8) * (1 - alpha23) + w1 = np.abs((p3.n / (2*np.pi)) * m_tot * ((mu1 / (mu1+mu3)) + / ec12**2 + (mu3 / (mu1 + mu3)) / ec23**2)) + Tsec = 2 * np.pi / w1 + # normalize secular timescale to be in terms of + # number of orbits of inner most planet + return Tsec / minP + + + diff --git a/spock/featureclassifier.py b/spock/featureclassifier.py index 0775106..ccee8bc 100644 --- a/spock/featureclassifier.py +++ b/spock/featureclassifier.py @@ -1,112 +1,198 @@ -import os -from multiprocessing import cpu_count -from multiprocessing.pool import ThreadPool - +from spock import features +from spock import ClassifierSeries +import sys +import pandas as pd import numpy as np import rebound -from xgboost import XGBClassifier - -from .feature_functions import features +import xgboost as xgb +from xgboost.sklearn import XGBClassifier from .simsetup import init_sim_parameters +from multiprocessing import cpu_count +from multiprocessing.pool import ThreadPool +import os +import warnings + +class FeatureClassifier: -class FeatureClassifier(): - def __init__(self, modelfile='featureclassifier.json'): + def __init__(self, modelfile='models/featureclassifier.json'): + '''initializes class and imports spock model''' pwd = os.path.dirname(__file__) self.model = XGBClassifier() - self.model.load_model(pwd + '/models/'+modelfile) - - def check_errors(self, sim): - if sim.N_real < 4: - raise AttributeError("SPOCK Error: SPOCK only applicable to systems with 3 or more planets") + self.model.load_model(pwd + '/'+modelfile) + + def predict_stable(self,sim, n_jobs = -1): + '''runs spock classification on a list of simulations + + Arguments: + sim: simulation or list of simulations + n_jobs: number of jobs you want to run with multi processing + + return: the probability that each system is stable + ''' + # If a list of sims is passed, they must all have the same number of + # particles in order to predict stability due to the way we pass to + # XGBoost.predict_proba, this limitation does not apply for generating + # features + if not isinstance(sim, rebound.Simulation) \ + and len(set([s.N_real for s in sim])) != 1: + raise ValueError("If running over many sims at once, "\ + "they must have the same number of particles") + + #Generates features for each trio in each simulation + res = self.simToData(sim, n_jobs) + + # Separate the feature dictionaries from the bool + # for whether it was stable over short integration + stable = np.array([r[1] for r in res]) + features = [r[0] for r in res] + Nsims = len(res) + + + # We take the small hit of evaluating XGBoost for all systems, + # and overwrite prob=0 for ones that went unstable in the + # short integration at the end + + # Iterates through each individual system in features list + # for each system, iterates over each trio within, + # for each trio, converts the generated features into a list + # and adds that list to the np array + featurevals = np.array([list(trio.values()) for system in features for trio in system]) - def predict_stable(self, sim, n_jobs=-1): - """ - Predict whether passed simulation will be stable over 10^9 orbits of the innermost planet. - - Parameters: - - sim (rebound.Simulation): Orbital configuration to test - n_jobs (int): Number of cores to use for calculation (only if passing more than one simulation). Default: Use all available cores. - - Returns: - - float: Estimated probability of stability. Will return exactly zero if configuration goes - unstable within first 10^4 orbits. - - """ - res = self.generate_features(sim, n_jobs=n_jobs) - - try: # separate the feature dictionaries from the bool for whether it was stable over short integration - stable = np.array([r[1] for r in res]) - features = [r[0] for r in res] - Nsims = len(sim) - except: - stable = np.array([res[1]]) - features = [res[0]] - Nsims = 1 - - # We take the small hit of evaluating XGBoost for all systems, and overwrite prob=0 for ones that went unstable in the short integration at the end - # array of Ntrios x 10 features to evaluate with XGboost (Nsims*Ntriospersim x 10 features) - featurevals = np.array([[val for val in trio.values()] for system in features for trio in system]) + # Predicts the stability for each trio probs = self.model.predict_proba(featurevals)[:,1] # take 2nd column for probability it belongs to stable class + # XGBoost evaluated a flattened list of all trios, reshape so that trios in same sim grouped - trios_per_sim = int(len(probs)/Nsims) + trios_per_sim = int(len(probs)/Nsims) # determines the number of trios per simulation + # reshapes probabilities so that each row belongs to a system probs = probs.reshape((Nsims, trios_per_sim)) - # Take the minimum probability of stability within the trios for each simulation + + # Take the minimum probability of stability within the trios + # for each simulation, i.e, the minimum value in each row probs = np.min(probs, axis=1) + # Set probabilities for systems that went unstable within short integration to exactly zero probs[~stable] = 0 + # Re format depending on number of simulations if Nsims == 1: return probs[0] else: return probs + + def generate_features(self, sim, n_jobs = -1): + '''helper function to fit spock syntax standard + Arguments: + sim: simulation or list of simulations + n_jobs: number of jobs to run with multi processing + return: features for given system or list of systems + ''' + data = self.simToData(sim, n_jobs) + # Nicely wraps data if only evaluating one system + if len(data) == 1: + return data[0] + else: + return data - def generate_features(self, sim, n_jobs=-1): - """ - Generates the set of summary features used by the feature classifier for prediction. - - Parameters: - - sim (rebound.Simulation): Orbital configuration to test - n_jobs (int): Number of cores to use for calculation (only if passing more than one simulation). Default: Use all available cores. - - Returns: - - List of OrderedDicts: A list of sets of features for each adjacent trio of planets in system. - Each set of features is an ordered dictionary of 10 summary features. See paper. - - stable (int): An integer for whether the N-body integration survived the 10^4 orbits (1) or - went unstable (0). - """ + def simToData(self, sim, n_jobs): + '''given a simulation(s), returns data required for spock clasification + + Arguments: + sim: simulation or list of simulations + n_jobs: number of jobs you want to run with multi processing + + return: returns a list of the simulations features/short term stability + ''' + #ensures that data is in list format so everything is identical if isinstance(sim, rebound.Simulation): sim = [sim] - - args = [] - if len(set([s.N_real for s in sim])) != 1: - raise ValueError("If running over many sims at once, they must have the same number of particles") - for s in sim: - s = s.copy() - init_sim_parameters(s) - minP = np.min([p.P for p in s.particles[1:s.N_real]]) - self.check_errors(s) - trios = [[j,j+1,j+2] for j in range(1,s.N_real-2)] # list of adjacent trios - featureargs = [10000, 80, trios] - args.append([s, featureargs]) - - def run(params): - sim, featureargs = params - triofeatures, stable = features(sim, featureargs) - return triofeatures, stable - - if len(args) == 1: # single sim - res = run(args[0]) # stable will be 0 if an orbit is hyperbolic + + if len(sim)==1: + #retuns the data for a single simulation + return [self.run(sim[0])] else: + #if more then one sim is passed, uses thread pooling + #to generate data for each if n_jobs == -1: n_jobs = cpu_count() with ThreadPool(n_jobs) as pool: - res = pool.map(run, args) - return res + res = pool.map(self.run, sim) + return res + + def run(self, s): + '''Sets up simulation and starts data collection + + Arguments: + s: The simulation you would like to generate data for + + return: data list for sim and whether or not it is stable in tuple + ''' + TIMES_TSEC = 1 #all systems get integrated to 1 secular time scale + + if float(rebound.__version__[0]) >= 4: + #check for rebound version here, if version 4 or later then + # sim.copy() should be supported, if old version of rebound, + # we will change the simulation in place + s = s.copy() #creates a copy as to not alter simulation + else: + warnings.warn('Due to old REBOUND, SPOCK will change sim in place') + + init_sim_parameters(s) #initializes the simulation + self.check_errors(s) #checks for errors + + trios = [[j, j+1, j+2] for j in range(1, s.N_real - 2)] # list of adjacent trios + + # revert to original integration to 1e4 with 80 data collections + + # maxList = [] + # for each in trios: + # maxList.append(ClassifierSeries.getsecT(s, each)) # gets secular time + # intT = TIMES_TSEC * max(maxList)# finds the trio with longest time scale + # if intT > 1e6: + # intT = 1e6 # check to make sure time scale is not way to long + # warnings.warn('Sim Tsec > 1e6 orbits of inner most planet '\ + # 'thus, system will only be integrated to 1e6 orbits. '\ + # 'This might affect model performance') + # # if it is, default to 1e6, very few systems should have this issue + # Norbits = intT # set the number of orbits to be equal to Tsec + Norbits = 1e4 + # set the number of data collections to be equally spaced with same + # spacing as old spock, 80 data collections every 1e4 orbits, scaled + # Nout = int((Norbits / 1e4) * 80) + Nout = 80 + + + # featureargs is: [number of orbits, number of stops, set of trios] + featureargs = [Norbits, Nout, trios] + # adds data to results. + # calls runSim helper function which returns the data list for sim + return self.runSim(s, featureargs) + + + def runSim(self, sim, args): + '''returns the data list of features for a given simulation + + Arguments: + sim: simulation in question + args: contains number or orbits, number of data collections, + and the set of all trios + + return: returns list containing the set of features for each trio, + and whether sys stable in short intigration + ''' + # runs the intigration on the simulation, + # and returns the filled objects for each trio and short stability + triotseries, stable = ClassifierSeries.get_tseries(sim, args) + # calculate final vals + dataList = [] + for each in triotseries: + each.fill_features(args) # turns runningList data into final features + dataList.append(each.features) # appends each feature results to dataList + return dataList, stable + + def check_errors(self, sim): + '''ensures enough planets/stars for spock to run''' + if sim.N_real < 4: + raise AttributeError("SPOCK Error: SPOCK only applicable to systems with 3 or more planets") def cite(self): """ diff --git a/spock/features.py b/spock/features.py new file mode 100644 index 0000000..7b6110c --- /dev/null +++ b/spock/features.py @@ -0,0 +1,246 @@ +from collections import OrderedDict +from spock.ClassifierSeries import getsecT +import numpy as np +import math +import rebound + + +class Trio: + def __init__(self, trio, sim): + '''initializes new set of features. + + note: each list of the key is the series of data points, + second dict is for final features + ''' + # We keep track of the this trio and the adjacent pairs + self.trio = trio + self.pairs = get_pairs(sim, trio) + + # innitialize running list which keeps track of data during simulation + self.runningList = OrderedDict() + self.runningList['time'] = [] + self.runningList['MEGNO'] = [] + + for each in ['near','far']: + self.runningList['EM' + each] = [] + self.runningList['EP' + each] = [] + self.runningList['MMRstrength' + each] = [] + + + + #returned features + self.features = OrderedDict() + + for each in ['near', 'far']: + self.features['EMcross' + each] = np.nan + self.features['EMfracstd' + each] = np.nan + self.features['EPstd' + each] = np.nan + self.features['MMRstrength' + each] = np.nan + self.features['MEGNO'] = np.nan + self.features['MEGNOstd'] = np.nan + + + def fillVal(self, Nout): + '''Fills with nan values + + Arguments: + Nout: number of datasets collected + ''' + for each in self.runningList.keys(): + self.runningList[each] = [np.nan] * Nout + + def getNum(self): + '''Returns number of features collected as ran''' + return len(self.runningList.keys()) + + def populateData(self, sim, minP,i): + '''Populates the runningList data dictionary for one time step. + + Note: must specify how each feature is calculated and added + ''' + ps = sim.particles + + for q, [label, i1, i2] in enumerate(self.pairs): + m1 = ps[i1].m + m2 = ps[i2].m + #calculate eccentricity vector + e1x, e1y = ps[i1].e * np.cos(ps[i1].pomega), ps[i1].e * np.sin(ps[i1].pomega) + e2x, e2y = ps[i2].e * np.cos(ps[i2].pomega), ps[i2].e * np.sin(ps[i2].pomega) + + self.runningList['time'][i]= sim.t/minP + #crossing eccentricity + self.runningList['EM'+label][i] = np.sqrt((e2x - e1x)**2 + (e2y - e1y)**2) + #mass weighted crossing eccentricity + self.runningList['EP'+label][i] = np.sqrt((m1 * e1x + m2 * e2x)**2 + + (m1 * e1y + m2 * e2y)**2) / (m1+m2) + #calculate the strength of MMRs + MMRs = find_strongest_MMR(sim, i1, i2) + self.runningList['MMRstrength' + label][i] = MMRs[2] + + + # check rebound version, if old use .calculate_megno, otherwise use .megno, old is just version less then 4 + if float(rebound.__version__[0]) < 4: + self.runningList['MEGNO'][i] = sim.calculate_megno() + else: + self.runningList['MEGNO'][i] = sim.megno() + + + + + + def startingFeatures(self, sim): + '''Initializes, adding to the features that only depend on initial conditions''' + + ps = sim.particles + for [label, i1, i2] in self.pairs: + # calculate crossing eccentricity + self.features['EMcross' + label] = (ps[i2].a - ps[i1].a) / ps[i1].a + # calculate secular timescale and adds feature + # self.features['Tsec']= getsecT(sim, self.trio) + + def fill_features(self, args): + '''fills the final set of features that are returned to the ML model. + + Each feature is filled depending on some combination of runningList features and initial condition features + ''' + Norbits = args[0] + Nout = args[1] + trio = args[2] + + + if not np.isnan(self.runningList['MEGNO']).any(): # no nans + # smooth last 10% to remove oscillations around 2 + self.features['MEGNO'] = np.median( + self.runningList['MEGNO'][-(Nout // 10):] + ) + + self.features['MEGNOstd'] = np.std( + self.runningList['MEGNO'][(Nout // 5):] + ) + + for label in ['near', 'far']: + # cut out first value (init cond) to avoid cases + # where user sets exactly b * n2 - a * n1 and strength is inf + self.features['MMRstrength' + label] = np.median( + self.runningList['MMRstrength' + label][1:] + ) + self.features['EMfracstd' + label] = ( + np.std(self.runningList['EM' + label]) + / self.features['EMcross' + label]) + + self.features['EPstd' + label] = \ + np.std(self.runningList['EP' + label]) + + + + ######################### Taken from celmech github.com/shadden/celmech +def farey_sequence(n): + """Return the nth Farey sequence as order pairs of the form (N,D) where `N' is the numerator and `D' is the denominator.""" + a, b, c, d = 0, 1, 1, n + sequence=[(a,b)] + while (c <= n): + k = int((n + b) / d) + a, b, c, d = c, d, (k*c-a), (k*d-b) + sequence.append( (a,b) ) + return sequence +def resonant_period_ratios(min_per_ratio,max_per_ratio,order): + """Return the period ratios of all resonances up to order 'order' between 'min_per_ratio' and 'max_per_ratio' """ + if min_per_ratio < 0.: + raise AttributeError("min_per_ratio of {0} passed to resonant_period_ratios can't be < 0".format(min_per_ratio)) + if max_per_ratio >= 1.: + raise AttributeError("max_per_ratio of {0} passed to resonant_period_ratios can't be >= 1".format(max_per_ratio)) + minJ = int(np.floor(1. / (1. - min_per_ratio))) + maxJ = int(np.ceil(1. / (1. - max_per_ratio))) + res_ratios=[(minJ-1,minJ)] + for j in range(minJ,maxJ): + res_ratios = res_ratios + [ ( x[1] * j - x[1] + x[0] , x[1] * j + x[0]) for x in farey_sequence(order)[1:] ] + res_ratios = np.array(res_ratios) + msk = np.array( list(map( lambda x: min_per_ratio < x[0] / float(x[1]) < max_per_ratio , res_ratios )) ) + return res_ratios[msk] +########################## + +# sorts out which pair of planets has a smaller EMcross, labels that pair inner, other adjacent pair outer +# returns a list of two lists, with [label (near or far), i1, i2], where i1 and i2 are the indices, with i1 +# having the smaller semimajor axis + +def get_pairs(sim, trio): + ''' returns the three pairs of the given trio. + + Arguments: + sim: simulation in question + trio: indicies of the 3 particles in question, formatted as [p1, p2, p3] + return: returns the two pairs in question, formatted as + [[near pair, index, index], [far pair, index, index]] + ''' + + ps = sim.particles + sortedindices = sorted(trio, key = lambda i: ps[i].a) # sort from inner to outer + EMcrossInner = ((ps[sortedindices[1]].a - ps[sortedindices[0]].a) + / ps[sortedindices[0]].a) + + EMcrossOuter = ((ps[sortedindices[2]].a - ps[sortedindices[1]].a) + / ps[sortedindices[1]].a) + + if EMcrossInner < EMcrossOuter: + return [['near', sortedindices[0], sortedindices[1]], + ['far', sortedindices[1], sortedindices[2]]] + else: + return [['near', sortedindices[1], sortedindices[2]], + ['far', sortedindices[0], sortedindices[1]]] + +# taken from original spock, some comments changed +#################################################### +def find_strongest_MMR(sim, i1, i2): + '''Finds the strongest MMR between two planets + + Arguments: + sim: the simulation in question + i1: the inner most of the two planets in question + i2: the outer most of the two planets in question + return: information about the resonance, the third item (index 2) + is the maximum strength of the resonance between planets + ''' + maxorder = 2 + ps = sim.particles + n1 = ps[i1].n + n2 = ps[i2].n + + m1 = ps[i1].m / ps[0].m + m2 = ps[i2].m / ps[0].m + + Pratio = n2 / n1 + + delta = 0.03 + if Pratio < 0 or Pratio > 1: # n < 0 = hyperbolic orbit, Pratio > 1 = orbits are crossing + return np.nan, np.nan, np.nan + + minperiodratio = max(Pratio - delta, 0.) + maxperiodratio = min(Pratio + delta, 0.99) # too many resonances close to 1 + res = resonant_period_ratios(minperiodratio, maxperiodratio, order=maxorder) + + # Calculating EM exactly would have to be done in celmech for each j/k res below, and would slow things down. This is good enough for approx expression + EM = np.sqrt((ps[i1].e * np.cos(ps[i1].pomega) - ps[i2].e * np.cos(ps[i2].pomega))**2 + + (ps[i1].e * np.sin(ps[i1].pomega) - ps[i2].e * np.sin(ps[i2].pomega))**2) + + EMcross = (ps[i2].a - ps[i1].a) / ps[i1].a + + j, k, maxstrength = np.nan, np.nan, 0 + for a, b in res: + nres = (b * n2 - a * n1) / n1 + if nres == 0: + s = np.inf # still want to identify as strongest MMR if initial condition is exatly b*n2-a*n1 = 0 + else: + s = np.abs(np.sqrt(m1 + m2) * (EM / EMcross)**((b - a) / 2.) / nres) + if s > maxstrength: + j = b + k = b-a + maxstrength = s + if maxstrength == 0: + maxstrength = np.nan + + return j, k, maxstrength +############################################## + +def swap(a, b): + '''Simple swap function''' + return b, a \ No newline at end of file diff --git a/spock/models/featureclassifier.json b/spock/models/featureclassifier.json index ca5f9ec..b546e87 100644 --- a/spock/models/featureclassifier.json +++ b/spock/models/featureclassifier.json @@ -1 +1 @@ -{"learner":{"attributes":{"scikit_learn":"{\"_estimator_type\": 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\ No newline at end of file diff --git a/spock/simsetup.py b/spock/simsetup.py index 90ae340..97ae803 100644 --- a/spock/simsetup.py +++ b/spock/simsetup.py @@ -43,7 +43,13 @@ def init_sim_parameters(sim, megno=True, safe_mode=1): try: sim.collision = 'line' # use line if using newer version of REBOUND except: - sim.collision = 'direct'# fall back for older versions + sim.collision = 'direct'# fall back for older versions direct + + def collision(reb_sim, col): + reb_sim.contents._status = 7 + return 0 + if float(rebound.__version__[0])<4: + sim.collision_resolve = collision maxd = np.array([p.d for p in sim.particles[1:sim.N_real]]).max() sim.exit_max_distance = 100*maxd diff --git a/spock/test/test_classifier.py b/spock/test/test_classifier.py index bb8b7c5..6e10b55 100644 --- a/spock/test/test_classifier.py +++ b/spock/test/test_classifier.py @@ -152,7 +152,8 @@ def test_repeat(self): def test_same_trajectory(self): sim = longstablesim() init_sim_parameters(sim) - _, _ = get_tseries(sim, (1e4, 80, [[1,2,3]])) + testClass = FeatureClassifier() + _, _ = testClass.runSim(sim, (1e4, 80, [[1,2,3]])) x1 = sim.particles[1].x sim = longstablesim() diff --git a/train_models/train_spock.ipynb b/train_models/train_spock.ipynb index feadffe..a718490 100644 --- a/train_models/train_spock.ipynb +++ b/train_models/train_spock.ipynb @@ -1,5 +1,12 @@ { "cells": [ + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Training the SPOCK model" + ] + }, { "cell_type": "code", "execution_count": 1, @@ -16,7 +23,6 @@ "import hyperopt\n", "import sys\n", "sys.path.append('../spock/')\n", - "from modelfitting import train_test_split, ROC_curve, stable_unstable_hist, calibration_plot, unstable_error_fraction\n", "try:\n", " plt.style.use('paper')\n", "except:\n", @@ -24,19 +30,32 @@ "%matplotlib inline" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Start by loading the training data generated with generate_FC_data.ipynb" + ] + }, { "cell_type": "code", "execution_count": 2, "metadata": {}, "outputs": [], "source": [ - "datapath = '../training_data/'\n", - "dset = 'resonant/'\n", - "Norbits = 1e4\n", - "Nout = 80\n", - "featureargs = (Norbits, Nout) # params to pass feature function\n", - "featurefolder = 'featuresNorbits{0:.1f}Nout{1}trio/'.format(Norbits, Nout)\n", - "trainingdatafolder = datapath+dset+featurefolder" + "#load datapath for clean training data that is generated\n", + "datapath = '../../cleanData/csvs/resonant/'\n", + "\n", + "dataset = pd.read_csv(datapath+'1e4Data.csv')\n", + "#remove junk columns\n", + "dataset = dataset.drop(columns=['Unnamed: 0','Unnamed: 0.1'])" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can then split the data into training and testing sets, note, we will remove systems that go unstable in 1e4 orbits from the testing set" ] }, { @@ -45,8 +64,58 @@ "metadata": {}, "outputs": [], "source": [ - "space ={'max_depth': hp.qloguniform('x_max_depth', np.log(5), np.log(20), 1),\n", - " 'min_child_weight': hp.loguniform('x_min_child', 0, np.log(20)),\n", + "def train_test(dataset,features):\n", + " '''divides the dataset into 80% training and 20% testing and returns training/testing sets'''\n", + " Nrows = int(0.8*dataset.shape[0])\n", + " train = dataset.iloc[:Nrows, :]\n", + " test = dataset.iloc[Nrows:, :]\n", + " #remove testing systems that go unstable in short integration phase\n", + "\n", + " test = test.drop(test[test['InitialStable']==False].index)\n", + " return train[features], train['Stable'], test[features], test['Stable'], test['instability_time']" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "We can then define the features of interest and dividing training and testing sets" + ] + }, + { + "cell_type": "code", + "execution_count": 4, + "metadata": {}, + "outputs": [], + "source": [ + "near = ['EMcrossnear', 'EMfracstdnear', 'EPstdnear', 'MMRstrengthnear']\n", + "far = ['EMcrossfar', 'EMfracstdfar', 'EPstdfar', 'MMRstrengthfar']\n", + "megno = ['MEGNO', 'MEGNOstd']\n", + "\n", + "features = near + far + megno\n", + "\n", + "trainX, trainY, testX, testY, testInstability = train_test(dataset, features)\n", + "dtrain = xgb.DMatrix(trainX, trainY)\n", + "dtest = xgb.DMatrix(testX, testY)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Tuning hyperparameter\n", + "We will start by creating and testing a collection of models that have randomly selected hyperparameters.\n", + "We establish the different parameter space that we will be testing different hyperparameter values within." + ] + }, + { + "cell_type": "code", + "execution_count": 5, + "metadata": {}, + "outputs": [], + "source": [ + "space ={'max_depth': hp.qloguniform('x_max_depth', np.log(5), np.log(40), 1),\n", + " 'min_child_weight': hp.loguniform('x_min_child', 0, np.log(30)),\n", " 'subsample': hp.uniform ('x_subsample', 0.8, 1),\n", "}\n", "\n", @@ -55,465 +124,443 @@ " max_depth = int(params['max_depth']), \n", " min_child_weight = params['min_child_weight'],\n", " subsample = params['subsample'],\n", - " learning_rate = 0.2, seed = 0)\n", + " learning_rate = 0.15, seed = 0,)\n", " \n", " score = xgb.cv(clf.get_xgb_params(), dtrain, nfold = 5, metrics = \"auc\", early_stopping_rounds=10)\n", " avg_score = np.mean(score[\"test-auc-mean\"])\n", " error = np.mean(score[\"test-auc-std\"])\n", " \n", " print(\"SCORE:\", avg_score, \"ERROR\", error)#, \"HOLDOUT SCORE\", test_score)\n", - " return{'loss':1-avg_score, 'status': STATUS_OK, \"cv_score\":avg_score , \"cv_error\":error}" + " return{'loss':1-avg_score, 'status': STATUS_OK, \"cv_score\":avg_score , \"cv_error\":error}\n" ] }, { - "cell_type": "code", - "execution_count": 4, + "cell_type": "markdown", "metadata": {}, - "outputs": [], "source": [ - "near = ['EMcrossnear', 'EMfracstdnear', 'EPstdnear', 'MMRstrengthnear']\n", - "far = ['EMcrossfar', 'EMfracstdfar', 'EPstdfar', 'MMRstrengthfar']\n", - "megno = ['MEGNO', 'MEGNOstd']\n", - "\n", - "features = near + far + megno\n", - "\n", - "trainX, trainY, testX, testY = train_test_split(trainingdatafolder, features, filter=False)\n", - "\n", - "dtrain = xgb.DMatrix(trainX, trainY)\n", - "dtest = xgb.DMatrix(testX, testY)" + "We can now run an array of different parameter combinations" ] }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 6, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "SCORE: \n", - "0.9366868800000001 \n", - "ERROR \n", - "0.0013534375955656492 \n", - "SCORE: \n", - "0.93654578 \n", - "ERROR \n", - "0.0015742622488709754 \n", - "SCORE: \n", - "0.93558732 \n", - "ERROR \n", - "0.0015204070846817426 \n", - "SCORE: \n", - "0.9332793199999999 \n", - "ERROR \n", - "0.0015980995398012406 \n", - "SCORE: \n", - "0.93524448 \n", - "ERROR \n", - "0.0016969209577759885 \n", - "SCORE: \n", - "0.93624994 \n", - "ERROR \n", - 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"ERROR \n", - "0.0015278841764609806 \n", - "SCORE: \n", - "0.9363425400000001 \n", - "ERROR \n" + " 0%| | 0/100 [00:00" ] }, - "execution_count": 6, + "execution_count": 7, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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", 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" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -568,23 +618,23 @@ "depths = trials.vals['x_max_depth']\n", "min_childs = trials.vals['x_min_child']\n", "aucs = np.array([1-x['loss'] for x in trials.results])\n", - "\n", "fig, ax = plt.subplots()\n", "ax.plot(depths, aucs, '.')\n", "ax.set_xlabel('max_depth')\n", - "ax.set_ylabel('CV AUC')" + "ax.set_ylabel('CV AUC')\n", + "ax.axvline(13, linestyle='--')" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "# min child weight acts as a regularizer, penalizing complex models. Larger min_child_weight = larger penalization" + "# min_child_weight: regulates model mitigating complexity " ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 8, "metadata": {}, "outputs": [ { @@ -593,20 +643,18 @@ "Text(0, 0.5, 'CV AUC')" ] }, - "execution_count": 7, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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", 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" + "
" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -619,7 +667,7 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 9, "metadata": {}, "outputs": [ { @@ -628,27 +676,25 @@ "Text(0, 0.5, 'min_child_weight')" ] }, - "execution_count": 8, + "execution_count": 9, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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", 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" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", - "cb = ax.scatter(depths, min_childs, c=aucs-0.93)\n", - "plt.colorbar(cb, label='CV AUC - 0.93')\n", + "cb = ax.scatter(depths, min_childs, c=aucs, vmin=0.922, vmax=0.939)\n", + "plt.colorbar(cb, label='CV AUC')\n", "ax.set_xlabel('max_depth')\n", "ax.set_ylabel('min_child_weight')" ] @@ -657,430 +703,420 @@ "cell_type": "markdown", "metadata": {}, "source": [ - "# Marginal improvements beyond max_depth of 13, so choose the least complex model" + "# max_depth =13, min_child_weight = 5\n", + "\n", + "Minimum improvement when considering max depth or min child weight larger then 13 and 5 respectively." ] }, { "cell_type": "code", - "execution_count": 9, + "execution_count": 10, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "[0]\ttrain-auc:0.94833+0.00063\ttest-auc:0.92236+0.00232\n", - 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"[394]\ttrain-auc:0.99884+0.00009\ttest-auc:0.94661+0.00200\n", + "[395]\ttrain-auc:0.99885+0.00008\ttest-auc:0.94661+0.00200\n", + "[396]\ttrain-auc:0.99886+0.00009\ttest-auc:0.94660+0.00200\n", + "[397]\ttrain-auc:0.99887+0.00008\ttest-auc:0.94659+0.00199\n", + "[398]\ttrain-auc:0.99888+0.00008\ttest-auc:0.94659+0.00199\n", + "[399]\ttrain-auc:0.99889+0.00008\ttest-auc:0.94660+0.00200\n" ] } ], @@ -1090,19 +1126,19 @@ " subsample = 0.95,\n", " min_child_weight = 5)\n", "\n", - "score = xgb.cv(model.get_xgb_params(), dtrain, nfold = 5, metrics = \"auc\", verbose_eval=True, num_boost_round=400)" + "score = xgb.cv(model.get_xgb_params(), dtrain, nfold = 5, metrics = \"auc\", verbose_eval=True, num_boost_round=400)\n" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "# Going beyond ~100 trees does not improve CV, so cut off training there to avoid overfitting" + "# n_estimators (number of trees) tuning" ] }, { "cell_type": "code", - "execution_count": 10, + "execution_count": 11, "metadata": {}, "outputs": [ { @@ -1111,20 +1147,18 @@ "Text(0, 0.5, 'CV AUC score')" ] }, - "execution_count": 10, + "execution_count": 11, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", 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", "text/plain": [ - "
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" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], @@ -1139,26 +1173,462 @@ "ax.set_ylabel('CV AUC score')" ] }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Minimal improvement in testing AUC after 100 n_estimators" + ] + }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 12, "metadata": {}, "outputs": [ { "data": { + "text/html": [ + "
XGBClassifier(base_score=None, booster=None, callbacks=None,\n",
+       "              colsample_bylevel=None, colsample_bynode=None,\n",
+       "              colsample_bytree=None, device=None, early_stopping_rounds=None,\n",
+       "              enable_categorical=False, eval_metric=None, feature_types=None,\n",
+       "              gamma=None, grow_policy=None, importance_type=None,\n",
+       "              interaction_constraints=None, learning_rate=0.05, max_bin=None,\n",
+       "              max_cat_threshold=None, max_cat_to_onehot=None,\n",
+       "              max_delta_step=None, max_depth=13, max_leaves=None,\n",
+       "              min_child_weight=5, missing=nan, monotone_constraints=None,\n",
+       "              multi_strategy=None, n_estimators=100, n_jobs=None,\n",
+       "              num_parallel_tree=None, random_state=None, ...)
In a Jupyter environment, please rerun this cell to show the HTML representation or trust the notebook.
On GitHub, the HTML representation is unable to render, please try loading this page with nbviewer.org.
" + ], "text/plain": [ - "XGBClassifier(base_score=0.5, booster=None, colsample_bylevel=1,\n", - " colsample_bynode=1, colsample_bytree=1, gamma=0, gpu_id=-1,\n", - " importance_type='gain', interaction_constraints=None,\n", - " learning_rate=0.05, max_delta_step=0, max_depth=13,\n", + "XGBClassifier(base_score=None, booster=None, callbacks=None,\n", + " colsample_bylevel=None, colsample_bynode=None,\n", + " colsample_bytree=None, device=None, early_stopping_rounds=None,\n", + " enable_categorical=False, eval_metric=None, feature_types=None,\n", + " gamma=None, grow_policy=None, importance_type=None,\n", + " interaction_constraints=None, learning_rate=0.05, max_bin=None,\n", + " max_cat_threshold=None, max_cat_to_onehot=None,\n", + " max_delta_step=None, max_depth=13, max_leaves=None,\n", " min_child_weight=5, missing=nan, monotone_constraints=None,\n", - " n_estimators=100, n_jobs=0, num_parallel_tree=1,\n", - " objective='binary:logistic', random_state=0, reg_alpha=0,\n", - " reg_lambda=1, scale_pos_weight=1, subsample=0.95,\n", - " tree_method=None, validate_parameters=False, verbosity=None)" + " multi_strategy=None, n_estimators=100, n_jobs=None,\n", + " num_parallel_tree=None, random_state=None, ...)" ] }, - "execution_count": 11, + "execution_count": 12, "metadata": {}, "output_type": "execute_result" } @@ -1170,60 +1640,133 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 13, "metadata": {}, "outputs": [], "source": [ - "model.save_model(datapath+'../spock/models/spock.json')" + "model.save_model('../spock/models/featureclassifier.json')" ] }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 14, "metadata": {}, "outputs": [], "source": [ "model = XGBClassifier()\n", - "model.load_model(datapath+'../spock/models/spock.json')" + "model.load_model('../spock/models/featureclassifier.json')" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# SPOCK feature classifier evaluation" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ - "# SPOCK" + "**Define plotting helper functions**" ] }, { "cell_type": "code", - "execution_count": 14, + "execution_count": 15, + "metadata": {}, + "outputs": [], + "source": [ + "from sklearn import metrics\n", + "from sklearn.metrics import roc_curve, confusion_matrix, auc\n", + "def ROC_curve( model, x,y):\n", + " preds = model.predict_proba(x)[:,1]\n", + " fpr, tpr, ROCthresholds = roc_curve(y, preds)\n", + " roc_auc = metrics.roc_auc_score(y, preds)\n", + " return roc_auc, fpr, tpr, ROCthresholds\n", + "def stable_unstable_hist(model, testX, testy):\n", + " preds = model.predict_proba(testX)[:,1]\n", + " stablepreds = preds[np.where(testy==1)]\n", + " unstablepreds = preds[np.where(testy==0)]\n", + " return stablepreds, unstablepreds \n", + "\n", + "def calibration_plot(model, testX, testy, bins):\n", + " \n", + " preds = model.predict_proba(testX)[:,1]\n", + "\n", + " hist, edges = np.histogram(preds, bins=bins)\n", + "\n", + " bincenters = []\n", + " fracstable = []\n", + " errorbars = []\n", + " for i in range(len(edges)-1):\n", + " bincenters.append((edges[i]+edges[i+1])/2)\n", + " mask = (preds >= edges[i]) & (preds < edges[i+1])\n", + " nstable = testy[mask].sum()\n", + " fracstable.append(nstable/hist[i]) # fraction of stable systems in bin with predictions in range\n", + " errorbars.append(np.sqrt(1./nstable + 1./hist[i])*fracstable[-1]) # assume poisson counting errors for each fractional error, and add in quadrature for error on ratio. \n", + " # multiply the fractional error by value\n", + "\n", + " return np.array(bincenters), np.array(fracstable), np.array(errorbars)\n", + "\n", + "def unstable_error_fraction(model, testX, testY, inst_times, thresh, bins=10, filter=False, filtertimes=False):\n", + " preds = model.predict_proba(testX)[:,1]\n", + " log_inst_times = np.log10(inst_times)\n", + " \n", + " unstable = log_inst_times < 8.99\n", + " preds = preds[unstable]\n", + " log_inst_times = log_inst_times[unstable]\n", + "\n", + " hist, edges = np.histogram(log_inst_times, bins=bins)\n", + "\n", + " bincenters = []\n", + " errorfracs = []\n", + " errorbars = []\n", + " for i in range(len(edges)-1):\n", + " bincenters.append((edges[i]+edges[i+1])/2)\n", + " mask = (log_inst_times >= edges[i]) & (log_inst_times < edges[i+1])\n", + " Nerrors = (preds[mask] > thresh).sum()\n", + " errorfracs.append(Nerrors/hist[i])\n", + " errorbars.append(np.sqrt(1./Nerrors + 1./hist[i])*errorfracs[-1]) # see calibration plot comment\n", + "\n", + " return np.array(bincenters), np.array(errorfracs), np.array(errorbars)" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# AUC and FPR" + ] + }, + { + "cell_type": "code", + "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "Text(0.5, 1.0, 'ROC curve (AUC = 0.953)')" + "Text(0.5, 1.0, 'ROC curve (AUC = 0.943)')" ] }, - "execution_count": 14, + "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { - "image/png": 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\n", + "image/png": 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xvQghxOrVq4WhoaF4+vSpECL7e+ro6JirJ+O/FAqFqFChgqhTp06u9m3bton3339fWFlZCblcLipVqiQ+++wzER0dne9+4uPjxf/+9z/h5eUlLC0thZGRkahUqZL49NNPxalTp96aXds2b94s6tatK4yNjUW5cuXEqFGjRFJSUq5tjhw5IgDk6uESQoiPPvpIODs7q7//AwYMyLdYyU9+hVB0dLT49NNPRZUqVYS5ubkwNjYWlStXFsOGDct30sQ7d+4IAGLnzp2avWmiIiQT4i2TVxARSSw9PR2VKlXCF198gS+//FLqOFRI3377LdavX4+7d+8W+gpLIm3jYGkiKvFMTU0xbdo0zJ07FykpKVLHoUKIj4/H4sWLMXPmTBZBVKLwXyMRlQpDhgxBfHw87t27p76CikqPyMhITJo0ST2/FFFJwVNjREREpLckPTV2/PhxdOnSBS4uLpDJZAWar+PYsWPw9vaGqakpKleujGXLlhV9UCIiItJJkhZCKSkpqFevHhYtWlSg7SMjI9GxY0c0a9YM4eHh+PrrrzFq1Cjs3LmziJMSERGRLioxp8ZkMhl27979xpWev/zyS+zduxcRERHqtmHDhuHKlSs4c+ZMMaQkIiIiXVKqBkufOXMGbdu2zdXWrl07rF69GllZWfmu8pyRkZFrGQGVSoW4uDjY29trdaFLIiIiKjpCCCQlJcHFxSXXIsHvqlQVQtHR0XkWG3RycoJCoUBMTEy+i0LOmjUL06ZNK66IREREVIQePXqEChUqaG1/paoQAvIu/JhzZu91vTuTJk3CuHHj1PcTEhJQqVIlPHr0CNbW1kUXlEiPKJQqvEzJxPWniYhLyYBCJZClVOH6k0TYWRjj7otk3H6WBCEAU2NDKJQCSpXA86S8i76WdAay7N83MgDZv3ZkgOxV+6u27P9nbwMZkJyuhKu9Of61+T+Pq58jQ86vsZzfZ+p9vXpM9qrx72dJaFLZDgYG2fswkGU/bqDO8k8+2avHEtKyYGEsh5NN9urvMvV/Xu0/J4v6ff0nE/554HXb4N/tr/4fl5KFqmUt8jyuvo88Da+9+9/f8//9rZ9n3294rbedEHjTa73tPeR9/L87z/9OllIFK1M5zIwM893X294v3vD+Cvt9fNt7e9Njb/p+F3TbMyeOoXqNWrBzcEByUhKae9WAlZXV60MUQqkqhMqVK5dnRe3nz59DLperV1D+LxMTE5iYmORpt7a2ZiFElA8hBA5FPMfNqEQYGsiQpVTh4v2XcLI2RXRiGu7HpMLB0hhXHifAxswIqZkKZCkLMtTw1a+bLCDnV6+Bifkbn1Gvoi2MDWUwkL36Msj50JfBQAZExqSgSRUHGBnKYGggQ0xyJmq7WP9TGMiy23OKl/QsJewsjGFjZvRqfzIYvtovBOBkYwq5QfZz5AYGMDSQwd7CWF1QEFHxyMrKwrfffosff/wRbdu2xf79+5GcnF0AaftnsVQVQr6+vvj1119ztR08eBA+Pj75jg8iotdTKFW48yIZ607fx8O4VFx5lAB7S2M8iE1963OfxKcByO5l+DcrEzmSMhRoV8sJckMDGBnIEJ2YjoZudshSCThamaB6OWuYGRtCbiCD3FAGK1MjWJrI1fdzChAi0k+PHj1Cr169cPr0aQBA1apVoVAoiuz1JC2EkpOTcefOHfX9yMhIXL58GXZ2dqhUqRImTZqEJ0+eYP369QCyrxBbtGgRxo0bh8GDB+PMmTNYvXo1tmzZItVbIJJMYnoWUjOUeJqQhkyFCpExKYhPzYJKCCiUAteexMPW3BgqlcCVx/EwMzZEWqYSd1+kwERugAyFKs8+kzNy/7Jp4FYG75WzgtzAAC9TM1Gvgi0AwNrMCOWsTWFmbICylqYwlhvA0coEBixgiOgd/Pbbb+jfvz/i4uJgbW2NVatW4ZNPPgGQveZgUZC0ELp48SJatmypvp8zlqd///5Yu3YtoqKi8PDhQ/Xj7u7u2LdvH8aOHYvFixfDxcUFP//8Mz7++ONiz05UVFQqgYjoRFyIjENqlhJKpUDYw5coa2mCsIcvce/Fu6+19d8iqIy5EQY1qwwna1OUtzVD9XJWKGNh/M6vQ0RUEFlZWZg0aRLmzJkDAPD29kZISAiqVKlS5K9dYuYRKi6JiYmwsbFBQkICxwiR5JQqgRtPE/B3dBJuPE3EHzeiEZVQuL96ajhb4/HLVDT3KAsbMyP1aSlv1zIwNjRAWpYKVcpawMzYEPYWJrA1z+7VYS8OEUktKSkJXl5euHPnDkaPHo0ff/wxz/jeovr8LlVjhIhKGyEEbjxNRFRCOuJTM3HqTgwMDGQ4eTsGZsaGbx2PU9nBAjVcrGFvYYzYlEx4VyoDAKhbwQbVnKxgY8axcURU+llZWWHbtm148ODBGydWLgoshIi0ICEtC7suPUamQoUrj+Nx5m4snKxN8Vd0UoGen3NpdFVHS3St54KARq6w46kpItJRGRkZmDhxIqpUqYJRo0YBAOrXr4/69esXexYWQkSFcOVRPH698hQR0Ym4+TQRL1Oz8mzz37ZG7nYAgNRMJT6s4QgbMyN4OFmhtosNbMzZs0NE+uHu3bvw9/dHWFgYTExM0LNnT7i4uEiWh4UQUQHEpWTi8qOXCH8Yj4WH77xx2x71y+Nlaia8KpVBk6oOqOViDdN/TZBGRKSvtm/fjkGDBiExMRH29vZYt26dpEUQwEKIKF+n78Tgmz3X8SI5A0npr5+/opqjJZpUsUfjyvZoWd2RBQ8RUT7S09Mxbtw4LF26FADQtGlTbN26VatLZRQWCyEiANceJ+DQX8+w8ewDxCRnvnHb6uWs8IlPRQxs6sbZhomI3kKhUKB58+a4cOECgOylr77//nvI5SWjBCkZKYgkEvbgJT5eevq1j3fzdEG3+uXh5VoG1qYcx0NEpCm5XI6ePXvi/v372LBhA9q1ayd1pFw4jxDpnYM3ovHNnuv5LvjZwqMsape3RofazqjlYs0eHyKiQkhNTcXz58/h5uYGAFCpVIiJiYGjo2Oh98l5hIjeQXxqJr7Zcx2/XY3K85hMBuwY5gtvVzsJkhER6ZaIiAj4+flBqVTiwoULsLCwgIGBwTsVQUWJhRDppEyFCjsvPca60/fzncvHyFCG8W3fQ8c6znCxNeMin0REWrBu3ToMHz4cqampcHJywt27d1G3bl2pY70RCyHSGUIIXHzwEiuP38PBm8/y3aZjnXL4plNNuNiaFXM6IiLdlZKSghEjRmDdunUAgA8//BAbN25EuXLlJE72diyEqFTLUqrwV1QS/n6WhPHbr+S7Tff65dHTuwIautvByNCgmBMSEem269evw8/PDxERETAwMMDUqVPx9ddfw9CwdEwnwkKISiWVSmDjuQf47pcb+T7uVckWiwK82PNDRFTEvvzyS0RERMDFxQWbN29GixYtpI6kERZCVKqkZChw/n4cAoMv5Gq3MTOCubEhgt53x6BmlSVKR0Skf1atWoUJEyZg3rx5KFu2rNRxNMZCiEqFC/fj8MmyM3naTY0MsCGoERq48YovIqLicPnyZezfvx+TJk0CADg7O2Pjxo0Spyo8FkJUom27+Ajf7rmODIUqV3v1claY0O49fFjDSaJkRET6RQiBZcuWYezYscjIyECNGjXQrVs3qWO9MxZCVOIolCqsPX0f03+PyPPY+LYeGNGyKic6JCIqRgkJCRg8eDC2b98OAOjcuTOaNWsmcSrtYCFEJUJKhgK/XH6Kzecf4PqTxDyPLwqoj051nFkAEREVs4sXL8Lf3x/37t2DXC7Hjz/+iLFjx+rM72MWQiSZ9CwlJu++jp2XHuf7uLONKfr5umFwM3fIedk7EVGxW7lyJUaMGIGsrCy4uroiJCQEjRo1kjqWVrEQomKnUgnM+/MWFh6+k+cxa1M5Rraqina1ysHV3kKCdERElKNs2bLIyspCt27dsGbNGpQpU0bqSFrHQoiK1dl7sei14myuNltzI3zXuSY61nGGqVHpmICLiEhXpaSkwMIi+w/Rbt264ejRo2jevLnOnAr7LxZCVOSiE9Lx29WnmBt6C6mZylyPHRjTDNXLaW8VYSIiKhwhBObOnYs5c+bg/PnzqFChAgCUugkSNcVCiIqEQqnC6K2XcflRPJ7Ep+V5fM+IpvCsaFv8wYiIKI/Y2FgMGDAAv/32GwAgODgY3377rcSpigcLIdK6uJRMeP0vNE+7m705WlZ3xNcda3DNLyKiEuLUqVPo1asXHj9+DBMTE8ybNw/Dhg2TOlaxYSFEWpOQloUf9kdgy/lHudrXD2yIJlXseeUXEVEJolKpMHv2bHzzzTdQKpWoVq0atm3bBk9PT6mjFSsWQqQVs/ZHYPmxe7naPvJ0wYJe9SVKREREb7Jw4UL1MhkBAQFYtmwZrKysJE5V/GRCCCF1iOKUmJgIGxsbJCQkwNqag3TfRYZCiQ1nHuSZAbpyWQv83Ks+ape3kSgZERG9TWpqKj744AMMHToUAwcOLPFXhRXV5zd7hKhQDlyPwrCNl/K0/zmuOao66t9fFEREJZ1SqcSWLVsQEBAAAwMDmJub4+zZszAw0O9hCyyESCMJaVkYtiEMZ+7FqtusTORY3McLzT3KSpiMiIheJzo6Gp9++ikOHTqEx48f46uvvgIAvS+CABZCpAGlSqDetIO52oIDG6Dle44SJSIiorc5dOgQ+vTpg2fPnsHc3Bzly5eXOlKJwkKICuTO8yS0nntcfb9tTSfM9feEpQn/CRERlURKpRLTpk3D9OnTIYRA7dq1sW3bNtSoUUPqaCUKP8XojRRKFWpN+QMZCpW6zbeyPVb085EwFRERvcnTp08REBCAY8eOAQAGDRqEBQsWwNzcXOJkJQ8LIXothVKFqpP352ob2qIyJnXgXxNERCXZs2fPcObMGVhaWmL58uUICAiQOlKJxUKI8iWEgMc3/xRB9SraYs/wJiX+8koiIgLq16+PDRs2wNPTEx4eHlLHKdE4XJzy5fl9KFSvZpjqXNcZv4xoyiKIiKiEevToET788ENcvHhR3ebn58ciqABYCFEumQoV3vtmPxLSsgAA9SrYYFGAl8SpiIjodX7//Xd4enri8OHDGDJkCPRsnuR3xkKI1HJOh+UMjLY2leOXke9LnIqIiPKTlZWF8ePHo3PnzoiLi4O3tze2b9/O3nsNcYwQqXX6+aT6truDBQ5/0ULCNERE9Dr3799Hr169cO7cOQDAqFGjMHv2bJiYmEicrPRhIUQAgFZzjuLeixQAQEM3O2wb5itxIiIiys+tW7fQqFEjxMfHw9bWFmvWrEH37t2ljlVqsRAiNJ55CNGJ6er7W4c0ljANERG9SdWqVeHr64vY2FiEhITAzc1N6kilGgshPTfj95u5iqC/p7eHgQHPLxMRlST37t2Dk5MTLCwsYGBggM2bN8Pc3BzGxsZSRyv1OFhajy05egcrT0Sq79/8vh1M5IYSJiIiov/avn076tevj88//1zdZmtryyJIS9gjpKd6rTiDs/fi1PfPT/4Q5sb850BEVFKkp6dj3LhxWLp0KQDg77//RmpqKpfJ0DL2COmhRYdv5yqCTkxsCUcrUwkTERHRv92+fRu+vr7qIuirr77C0aNHWQQVAXYB6Jljt17g/w7eUt+/PaMDjAxZDxMRlRRbtmzBkCFDkJycDAcHB2zYsAHt27eXOpbOYiGkRxYdvp2rCLo6tS2LICKiEiQhIQGjR49GcnIymjdvjs2bN6N8+fJSx9JpLIT0xKZzD3IVQT/0qANrUyMJExER0X/Z2Nhgw4YNOHnyJKZMmQK5nB/TRU0m9GxRksTERNjY2CAhIQHW1tZSxykWoTefYfD6fxbiC/umNewtOfsoEVFJsH79elhZWXFSxLcoqs9vlpo6TAiBRjMP4XlShrrt8BctWAQREZUAKSkpGDlyJNauXQsbGxs0aNAAFSpUkDqW3mEhpMPcJ+3LdX/2x3VRuaylRGmIiCjH9evX4efnh4iICBgYGOCLL76As7Oz1LH0EgshHfQ8KR0NZxzK1Xbz+3acJ4iISGJCCKxZswYjR45Eeno6nJ2dsWXLFrRowUWupcJPRh2TlqnMUwRFzuoImYzLZhARSUmpVKJ///7YtGkTAKBdu3ZYv349HB0dJU6m33jttI75eOlp9e1uni64/0MnFkFERCWAoaEh7OzsYGhoiFmzZmHfvn0sgkoA9gjpkLAHcbgZlQgAqGhnhvm96kuciIhIvwkhkJKSAkvL7PGZP/30E/r27YsGDRpInIxysEdIRyRnKPDx0jPq+4fGfSBdGCIiQkJCAnr16oVOnTpBoVAAAExMTFgElTDsEdIRA9acV99eN7AhjOWscYmIpBIWFgZ/f3/cvXsXcrkcZ8+exfvvvy91LMoHPy11wNzQW7j44CUAYGiLymjhUVbiRERE+kkIgYULF6JJkya4e/cuXF1dceLECRZBJRh7hEq59Cwlfj50W31/UocaEqYhItJfL1++RFBQEHbv3g0A6NatG9asWYMyZcpInIzehD1CpVz1bw+ob+8e3kTCJERE+q1v377YvXs3jIyMsGDBAuzatYtFUCnAHqFS7N/rh9WrYIP6lfgDR0QklR9//BEPHjxAcHAwfHx8pI5DBcQeoVIqJjkDoTefqe//MpLnn4mIilNcXBx27dqlvl+rVi1cuXKFRVApw0KoFErJUMBn+p/q+xcmt5YwDRGR/jl9+jQ8PT3h5+eHU6dOqdsNDPixWtrwiJVCHRacUN/+qkN1lLXiavJERMVBpVLhxx9/RPPmzfHo0SNUrlwZFhYWUseidyB5IbRkyRK4u7vD1NQU3t7eOHHixBu337RpE+rVqwdzc3M4OzsjMDAQsbGxxZRWemEPXuJhXCoAIKBRJQxtXlniRERE+uHFixfo3LkzvvrqKyiVSvTu3RthYWHw9PSUOhq9A0kLoZCQEIwZMwaTJ09GeHg4mjVrhg4dOuDhw4f5bn/y5En069cPQUFBuHHjBrZv344LFy5g0KBBxZxcGkII9F19DgBQuawFZnavw3XEiIiKwfHjx+Hp6Yn9+/fD1NQUK1euxKZNm2BlZSV1NHpHkhZCc+fORVBQEAYNGoQaNWpg/vz5qFixIpYuXZrv9mfPnoWbmxtGjRoFd3d3vP/++xg6dCguXryY7/a6ZsTmS0jNVAIAFvhzHTEiouJy5coVPH36FNWrV8f58+cxaNAg/iGqIyQrhDIzMxEWFoa2bdvmam/bti1Onz6d73OaNGmCx48fY9++fRBC4NmzZ9ixYwc6der02tfJyMhAYmJirq/S6MqjeOy7Fg0AMDMyRJ0KNhInIiLSbUII9e2RI0di4cKFuHDhAurUqSNhKtI2yQqhmJgYKJVKODk55Wp3cnJCdHR0vs9p0qQJNm3aBH9/fxgbG6NcuXKwtbXFwoULX/s6s2bNgo2NjfqrYsWKWn0fxSEtU4mPFv9zVcK5yR9KmIaISPcdPnwYzZs3V//xLJPJMHLkSPUq8qQ7JB8s/d+uRSHEa7sbb968iVGjRuG7775DWFgYDhw4gMjISAwbNuy1+580aRISEhLUX48ePdJq/uJQ47t/Zo/eMrgxrE2NJExDRKS7lEolpkyZgtatW+PkyZOYPn261JGoiEk2s7SDgwMMDQ3z9P48f/48Ty9RjlmzZqFp06aYMGECAKBu3bqwsLBAs2bNMH36dDg7O+d5jomJCUxMSu/l5c1nH1HfNjUygG8VewnTEBHprqdPn6JPnz44evQoACAoKAhTp06VNBMVPcl6hIyNjeHt7Y3Q0NBc7aGhoWjSJP81s1JTU/NMVmVoaAgg97lcXXHp4T+XygPAtantJExDRKS7Dh48CE9PTxw9ehQWFhbYuHEjVq1aBXNzc6mjURGTdK2xcePGoW/fvvDx8YGvry9WrFiBhw8fqk91TZo0CU+ePMH69esBAF26dMHgwYOxdOlStGvXDlFRURgzZgwaNmwIFxcXKd+K1j1LTMfQDWHq+/dmdoSBAa9QICLStg0bNqBfv34AgHr16mHbtm3w8PCQOBUVF0kLIX9/f8TGxuL7779HVFQUateujX379sHV1RUAEBUVlWtOoQEDBiApKQmLFi3CF198AVtbW7Rq1Qo//vijVG+hyDSaeUh9e1FAfRZBRERFpH379nBxcUHXrl0xd+5cmJmZSR2JipFM6OI5pTdITEyEjY0NEhISYG1tLXWcfAWfisS0X28CAD7ydME8P08WQkREWnT16lXUrVtXfT82Nhb29hyDWZIV1ee35FeNUW5CCHURBAALerE3iIhIW7KysjBhwgTUq1cPGzduVLezCNJfkp4ao7w+23hJfXthb84eTUSkLQ8ePECvXr1w9uxZAMD169clTkQlAQuhEkSlEjhw45/pBLrU060B4EREUvnll18wYMAAxMfHw8bGBmvWrEGPHj2kjkUlAE+NlSD/nj06ZEhjCZMQEemGzMxMjBkzBt26dUN8fDwaNGiA8PBwFkGkxkKohIhPzcS1Jwnq+40q83w1EdG7OnPmDBYsWAAge8qWkydPwt3dXeJUVJLw1FgJ8evVKPXtsG9aS5iEiEh3tGjRAjNmzECdOnXQpUsXqeNQCcQeoRJACIFv92QP2mvuURb2lqV3SRAiIimlp6dj/PjxiIyMVLd9/fXXLILotdgjVAL8GfFcfTuwiZt0QYiISrHbt2/D398f4eHhOHXqFE6dOpVnWSai/+K/kBJgyIaLAAALY0O0rO4ocRoiotJny5Yt8PLyQnh4OBwcHDBlyhQWQVQg/FcisV2XHiNnbu/VAxpIG4aIqJRJS0vDkCFDEBAQgOTkZDRv3hyXL19G+/btpY5GpQRPjUls+u8R6tuNeaUYEVGBPX78GB07dsS1a9cgk8kwefJkTJkyBXI5P9qo4PivRUIZCiXiUjIBAN92rilxGiKi0sXBwQFyuRyOjo7YtGkTWrfmFbekORZCElp3+r769qeNK0kXhIiolEhNTYWJiQkMDQ1hamqKnTt3wtTUFM7OzlJHo1KKY4QkIoTAlvOPAAC25kYwkRtKnIiIqGS7ceMGGjRogO+//17d5u7uziKI3gkLIYn8cSMakTEpAIB1gQ0lTkNEVHIJIbBmzRo0aNAAN2/exOrVq5GUlCR1LNIRLIQkkJCWhWGvVpl3tDJBvYq20gYiIiqhkpOT0bdvXwQFBSEtLQ1t27bFpUuXYGVlJXU00hEshCQw9NW8QQAws3sdCZMQEZVcV65cgbe3NzZt2gQDAwPMmDED+/fvh6Mj51sj7eFg6WJ261kSzt6LAwDM6lEHrWs6SZyIiKjkSU5ORqtWrRAXF4fy5ctjy5YtaNasmdSxSAexR6iY/XveoF4NKkqYhIio5LK0tMRPP/2Ejh074vLlyyyCqMiwECpGaZlKHL/1AgAwvq0HZDKZxImIiEqOS5cu4fz58+r7gYGB+O233+Dg4CBhKtJ1LISK0YDgf37A+/q6SReEiKgEEUJg0aJF8PX1Rc+ePREXlz18QCaT8Q9GKnIcI1RMrj6Ox7nI7B/u8rZmsDEzkjgREZH04uPjERQUhF27dgEAvLy8WPxQsWKPUDGZ/ts/Y4P2jGgqYRIiopLh/PnzqF+/Pnbt2gUjIyPMnz8fu3fvRpkyZaSORnqEhVAxSM1U4Pz97N6gyR1roKyVicSJiIikI4TAvHnz8P777+P+/ftwd3fHqVOnMHr0aPYGUbFjIVQMFhy6rb79sXcFCZMQEZUMx48fR1ZWFj7++GNcunQJDRo0kDoS6SmOESpiqZkKLD92DwDwnpMV7CyMJU5ERCQNIYR6APSaNWvQuXNnDBw4kL1AJCn2CBWx9vNPqG+v6OctYRIiImmoVCrMnj0b/fv3hxACAFCmTBkEBQWxCCLJsUeoiD2MSwUAVHO0hKu9hcRpiIiK14sXL9C/f3/s378fANC3b1+0adNG4lRE/2CPUBF6Ep+mvv1z7/oSJiEiKn4nTpyAp6cn9u/fD1NTUyxfvhytW7eWOhZRLiyEitCXO66qb9dwtpYwCRFR8VGpVJgxYwY++OADPH36FO+99x7OnTuHIUOG8FQYlTg8NVaETt6JAQDUKW8jcRIiouITGBiI9evXA8g+FbZkyRJYWlpKnIoof+wRKiJ/3nymvv39R7UkTEJEVLwCAwNhaWmJ4OBgrF+/nkUQlWjsESoi688+UN+uX4mzpBKR7lIqlbhx4wbq1q0LAPjggw/w4MED2NnZSZyM6O3YI1QEVCqhXmV+vr+ntGGIiIpQVFQUWrdujaZNm+LWrVvqdhZBVFqwECoCZyNj1bc71XWWMAkRUdE5ePAg6tWrh6NHj0IIkasQIiotWAgVgW0XHqlvGxnyW0xEukWhUGDy5Mlo3749Xrx4gbp16+LixYvo3Lmz1NGINMYxQkXgUMRzAECfRpUkTkJEpF2PHz9GQEAATpzInjV/6NChmDdvHszMzCRORlQ4LIS0LDImBUkZCgBAP183acMQEWnZypUrceLECVhZWWHFihXo1auX1JGI3gkLIS0bv/2K+vZ75awkTEJEpH3ffPMNoqKiMHHiRFStWlXqOETvjANYtCzswUsAQOsajhInISJ6dw8fPsSIESOQlZUFADAyMsKKFStYBJHOYI+QFj1+maq+Paa1h4RJiIje3d69ezFgwAC8fPkSZcqUwfTp06WORKR17BHSou0XH6tv13Lh2mJEVDplZmZi7Nix+Oijj/Dy5Us0aNAAQUFBUsciKhIshLTo4KtlNZpVc+DCgkRUKkVGRuL999/H/PnzAQBjx47FyZMn4e7uLm0woiJSqEJIoVDgzz//xPLly5GUlAQAePr0KZKTk7UarrSJiEoEAJS1NJE4CRGR5kJDQ1G/fn1cuHABZcqUwS+//IK5c+fC2NhY6mhERUbjMUIPHjxA+/bt8fDhQ2RkZKBNmzawsrLC7NmzkZ6ejmXLlhVFzhIv+dUl8wDQ3au8hEmIiArHzc0NSqUSvr6+2Lp1KypV4lxopPs07hEaPXo0fHx88PLly1wTaHXv3h2HDh3SarjSZMWxu+rbjdztJUxCRFRwCQkJ6tvVqlXDsWPHcOzYMRZBpDc0LoROnjyJb775Jk9XqaurK548eaK1YKVN8On7ALIHSRvLOfSKiEq+rVu3ws3NDUeOHFG3eXl5wcjISMJURMVL409slUoFpVKZp/3x48ewstLPCQSvP0lAUnr2qbGpXWtJnIaI6M3S0tIwdOhQ9O7dG/Hx8Vi6dKnUkYgko3Eh1KZNG/XVBAAgk8mQnJyMKVOmoGPHjtrMVmrMDc1ecdnQQIYGbnYSpyEier2///4bjRs3xooVKyCTyTB58mRs3rxZ6lhEktF4sPS8efPQsmVL1KxZE+np6QgICMDt27fh4OCALVu2FEXGEu9RXPZEin4+FSVOQkT0ehs3bsSwYcOQkpKCsmXLYtOmTWjTpo3UsYgkpXEh5OLigsuXL2Pr1q0ICwuDSqVCUFAQ+vTpo7erD99+nj1tgJ9PBYmTEBHl79ixY+jbty8AoGXLlti0aROcnZ0lTkUkPY0LoePHj6NJkyYIDAxEYGCgul2hUOD48eNo3ry5VgOWdEf/fq6+7Wyjn4UgEZV8zZs3R9++fVG5cmV8++23MDQ0lDoSUYmgcSHUsmVLREVFwdEx96KiCQkJaNmyZb4DqXXZd7/cAACUtzVDORtTidMQEWUTQmDLli1o37497OzsIJPJsG7dOs56T/QfGg+WFkLk+4MUGxsLCwsLrYQqTR6+Gh80rg0XWSWikiE5ORn9+/dHnz59MHDgQAghAIBFEFE+Ctwj1KNHDwDZP0gDBgyAick/y0golUpcvXoVTZo00X7CEuz6k38mImtdw0nCJERE2a5evQo/Pz/8/fffMDAwQMOGDV/7BywRaVAI2djYAMjuEbKysso1MNrY2BiNGzfG4MGDtZ+wBDt9N0Z928acE5ARkXSEEFi5ciVGjx6N9PR0lC9fHlu2bEGzZs2kjkZUohW4EAoODgaQvRbN+PHj9fI02H+duxcHAHB34PeCiKSTmJiIoUOHYuvWrQCADh06YP369XBwcJA4GVHJp/EYoSlTprAIeuXQX9lXjHm7lpE4CRHpM4VCgdOnT8PQ0BCzZ8/Gb7/9xiKIqIA0vmoMAHbs2IFt27bh4cOHyMzMzPXYpUuXtBKspIuMSVHfDmjExQmJqHj9ewC0nZ0dtm/frl45nogKTuMeoZ9//hmBgYFwdHREeHg4GjZsCHt7e9y7dw8dOnQoiowl0oHr0erbXpXYI0RExSc+Ph6ffPIJVq9erW5r2LAhiyCiQtC4EFqyZAlWrFiBRYsWwdjYGBMnTkRoaChGjRqFhISEt+9AR6RlZc+X5Ghl8pYtiYi058KFC/Dy8sLOnTvxxRdfID4+XupIRKWaxoXQw4cP1ZfJm5mZISkpCQDQt29fvVpr7NirGaW71HOROAkR6QMhBObPn4+mTZsiMjISbm5uCA0Nha2trdTRiEo1jQuhcuXKITY2FgDg6uqKs2fPAgAiIyPV56x1XZZShSuPs3u/GrpztXkiKlpxcXHo1q0bxo4di6ysLPTo0UM9NIGI3o3GhVCrVq3w66+/AgCCgoIwduxYtGnTBv7+/ujevbvGAZYsWQJ3d3eYmprC29sbJ06ceOP2GRkZmDx5MlxdXWFiYoIqVapgzZo1Gr/uu7j9LFl9mxMpElFRSk1NhY+PD/bu3QtjY2MsWrQIO3bsYE8QkZZofNXYihUroFKpAADDhg2DnZ0dTp48iS5dumDYsGEa7SskJARjxozBkiVL0LRpUyxfvhwdOnTAzZs3UalS/ldi+fn54dmzZ1i9ejWqVq2K58+fQ6FQaPo23smhiGfq24YGnK2ViIqOubk5+vXrh40bN2Lbtm3w8vKSOhKRTpEJLZ7PevLkCcqXL1/g7Rs1agQvLy8sXbpU3VajRg1069YNs2bNyrP9gQMH0KtXL9y7dw92doU7JZWYmAgbGxskJCTA2tq6UPuY9usNBJ+6DytTOa5NbVeofRARvU5MTAySk5Ph5uYGIHsZo9TUVFhZWUkbjEhC2vj8zo/Gp8byEx0djc8//xxVq1Yt8HMyMzMRFhaGtm3b5mpv27YtTp8+ne9z9u7dCx8fH8yePRvly5eHh4cHxo8fj7S0tNe+TkZGBhITE3N9vatbz7IHiHOgNBFp24kTJ+Dp6Ynu3bsjPT0dAGBoaMgiiKiIFLgQio+PR58+fVC2bFm4uLjg559/hkqlwnfffYfKlSvj7NmzGo3ViYmJgVKphJNT7jE2Tk5OiI6Ozvc59+7dw8mTJ3H9+nXs3r0b8+fPx44dOzBixIjXvs6sWbNgY2Oj/qpYsWKBM76OrZkxAMDKpFDzURIR5aFSqTBz5ky0bNkST548QWpq6mt/FxKR9hT4k/zrr7/G8ePH0b9/fxw4cABjx47FgQMHkJ6ejv3796NFixaFCvDfFZHftEqySqWCTCbDpk2b1IvAzp07Fz179sTixYtzLQSbY9KkSRg3bpz6fmJi4jsXQ/uuRwEA3LjGGBFpwfPnz/Hpp58iNDQUAPDpp59i6dKlsLS0lDgZke4rcCH0+++/Izg4GK1bt8bw4cNRtWpVeHh4YP78+YV6YQcHBxgaGub5i+f58+d5eolyODs7o3z58uoiCMgeUySEwOPHj1GtWrU8zzExMYGJifYmPRRCQAZAAHCw5GSKRPRujhw5goCAAERHR8PMzAyLFy/GgAEDXvsHIRFpV4FPjT19+hQ1a9YEAFSuXBmmpqYYNGhQoV/Y2NgY3t7e6r+AcoSGhqonbPyvpk2b4unTp0hO/ufy9Vu3bsHAwAAVKlQodBZNXHzwEqpXw8ubVeOihkRUeEIIfPvtt4iOjkbNmjVx4cIFBAYGsggiKkYFLoRUKhWMjIzU9w0NDd95Ffpx48Zh1apVWLNmDSIiIjB27Fg8fPhQfRn+pEmT0K9fP/X2AQEBsLe3R2BgIG7evInjx49jwoQJGDhwYL6nxYrCoYjsGaUrlDGDqZFhsbwmEemmnFP9I0eOxPnz51GrVi2pIxHpnQKfGhNCYMCAAerTTOnp6Rg2bFieYmjXrl0FfnF/f3/Exsbi+++/R1RUFGrXro19+/bB1dUVABAVFYWHDx+qt7e0tERoaCg+//xz+Pj4wN7eHn5+fpg+fXqBX/NdXX+SPaN0vYq2xfaaRKQ7/vzzT1y4cAGTJk0CkD1D/8KFCyVORaS/CjyPUGBgYIF2GBwc/E6Bitq7zEMghID7pH0AgJnd6yCgUf6TPhIR/ZdCocDUqVMxc+ZMCCHw559/4sMPP5Q6FlGpUVTzCBW4R6ikFzjF4berUerbH9ZwlDAJEZUmT548QUBAAI4fPw4AGDp06GvHQhJR8eJEOBq49yJFfdvJ2lTCJERUWuzfvx/9+vVDTEwMrKyssGLFCvTq1UvqWET0ilZmltYXJ++8AAD0avDukzISke77/vvv0bFjR8TExKB+/foICwtjEURUwrAQ0oC1afZVczbmRm/ZkogI6mWHRowYgdOnT+c71xkRSYunxjTw6GUqAKBeBVtpgxBRiRUfHw9bW1sA2VN+eHh4wMfHR9pQRPRa7BEqIJVK4Naz7Ikc3ey5tAYR5ZaZmYlx48ahVq1aeP78ubqdRRBRyVaoQmjDhg1o2rQpXFxc8ODBAwDA/Pnz8csvv2g1XElyP/afgdLuXGOMiP4lMjISzZo1w7x58/D06VPs3btX6khEVEAaF0JLly7FuHHj0LFjR8THx0OpVAIAbG1tC73uWGkQEZWkvm1mzBmliSjbrl27UL9+fZw/fx5lypTBL7/88k7LDxFR8dK4EFq4cCFWrlyJyZMnw9Dwn4LAx8cH165d02q4kuTui+zTYmU4UJqIAGRkZODzzz/Hxx9/jISEBDRu3Bjh4eHo2rWr1NGISAMaF0KRkZGoX79+nnYTExOkpKTk8wzdcPHBSwBA9XLam82SiEqv6dOnY9GiRQCACRMm4Pjx4+rlgYio9NC4EHJ3d8fly5fztO/fv1+9Or0uOn4rew6hFu+VlTgJEZUEEyZMQOPGjfHbb79h9uzZuRalJqLSQ+PL5ydMmIARI0YgPT0dQgicP38eW7ZswaxZs7Bq1aqiyCi5xPQs9e12tcpJmISIpJKeno5169ZhyJAhkMlksLa2xunTpyGTyaSORkTvQONCKDAwEAqFAhMnTkRqaioCAgJQvnx5LFiwQGdnTN1y7qH6tpu9uYRJiEgKf//9N/z8/HD16lVkZGRg1KhRAMAiiEgHFGpCxcGDB2Pw4MGIiYmBSqWCo6NuL0B65O/sOUE61XXmLz4iPbNp0yYMHToUKSkpcHR0RI0aNaSORERapPEYoWnTpuHu3bsAAAcHB50vggAgNjkTAK8YI9InqampGDRoED799FOkpKSgZcuWuHz5Mtq0aSN1NCLSIo0LoZ07d8LDwwONGzfGokWL8OLFi6LIVaLkXDrftIqDxEmIqDjcvHkTDRs2xOrVqyGTyTBlyhSEhobC2dlZ6mhEpGUaF0JXr17F1atX0apVK8ydOxfly5dHx44dsXnzZqSmphZFRkkJIaAS2berOlpKG4aIikV8fDz++usvlCtXDn/++SemTp2aa940ItIdMiGEeJcdnDp1Cps3b8b27duRnp6OxMREbWUrEomJibCxsUFCQgKsrd8+J9C1xwnosugkAOCv/7WHqRF/GRLpIiFErjGA27dvR/PmzeHk5CRhKiLKoennd0G986KrFhYWMDMzg7GxMbKyst7+hFLmZlQCAMDW3IhFEJGOunbtGnx8fHD9+nV12yeffMIiiEgPFKoQioyMxIwZM1CzZk34+Pjg0qVLmDp1KqKjo7WdT3I7Lz0BAHSozfmDiHSNEAIrV65Ew4YNcenSJYwdO1bqSERUzDS+fN7X1xfnz59HnTp1EBgYqJ5HSFfde5G9bIi1Ga8YI9IliYmJGDp0KLZu3QoA6NChA9avXy9xKiIqbhoXQi1btsSqVatQq1atoshTogghEJOcAQDwrWwvcRoi0pbw8HD4+fnhzp07MDQ0xMyZMzF+/HgYGLzzaAEiKmU0LoRmzpxZFDlKpBtP/xn47VnRVrogRKQ158+fR7NmzZCZmYmKFSti69ataNKkidSxiEgiBSqExo0bh//973+wsLDAuHHj3rjt3LlztRKsJDjy13P1bVtzYwmTEJG2eHt7w9fXF9bW1li7di3s7OykjkREEipQIRQeHq6+Iiw8PLxIA5UkD+Ky50X6gCvOE5VqV65cwXvvvQdTU1MYGhpi7969sLKy4pI5RFSwQujIkSP53tZ1f1zPvgquYx3OJktUGgkh8PPPP2PChAkYMmQIFi1aBABanYOEiEo3jUcGDhw4EElJSXnaU1JSMHDgQK2EKinSspQAAFteMUZU6rx8+RI9evTAmDFjkJWVhejoaCgUCqljEVEJo3EhtG7dOqSlpeVpT0tL06lLT1MzFVC8WlvDzcFC4jREpImzZ8+ifv362LNnD4yNjbFo0SJs374dcrnG14cQkY4r8G+FxMRECCEghEBSUhJMTU3VjymVSuzbt0+nVqJ/kZShvl2Na4wRlQoqlQpz587FpEmToFAoUKVKFWzbtg1eXl5SRyOiEqrAhZCtrS1kMhlkMhk8PDzyPC6TyTBt2jSthpPSvZjsiRSdrE04oJKolIiOjsaMGTOgUCjg7++PFStWcDwQEb1RgQuhI0eOQAiBVq1aYefOnbkuOTU2NoarqytcXFyKJKQULt6PAwDEJmdKnISICsrFxQVr165FdHQ0hgwZwj9iiOitClwItWjRAkD2OmOVKlXS+V8wlx7EAwBquvCvSaKSSqVS4ccff4Snpyc6dOgAAPjoo48kTkVEpUmBCqGrV6+idu3aMDAwQEJCAq5du/babevWrau1cFK68TR71XmvSmUkTkJE+Xn+/Dn69u2LgwcPwt7eHn///Tfs7bkUDhFppkCFkKenJ6Kjo+Ho6AhPT0/IZDIIIfJsJ5PJoFQqtR5SCpYmciSmK9DQnbPOEpU0R48eRUBAAKKiomBmZobZs2dzhmgiKpQCFUKRkZEoW7as+rauE0LgaUI6AOC9clYSpyGiHEqlEjNmzMC0adOgUqlQs2ZNbNu2TS8WgSaiolGgQsjV1TXf27oqOeOfSdccLE0kTEJEOdLT09GpUyccPnwYABAYGIiFCxfCwoLzfBFR4RVqQsXff/9dfX/ixImwtbVFkyZN8ODBA62Gk8q1xwnq29amnICNqCQwNTWFm5sbLCwssH79eqxZs4ZFEBG9M40LoZkzZ8LMzAwAcObMGSxatAizZ8+Gg4MDxo4dq/WAUoiMzZ5DyMGScwgRSUmhUCAh4Z8/TBYuXIhLly6hb9++EqYiIl2icXfHo0ePULVqVQDAnj170LNnTwwZMgRNmzbFBx98oO18kth96QkArjpPJKUnT54gICAAZmZm2LdvHwwMDGBubp7vhK5ERIWlcY+QpaUlYmNjAQAHDx5E69atAWR3W+e3BllplKlUAQDyuTCOiIrBgQMH4OnpiePHj+PUqVOIiIiQOhIR6SiNC6E2bdpg0KBBGDRoEG7duoVOnToBAG7cuAE3Nzdt55PE1VdjhFrX0J2104hKg6ysLHz11Vfo0KEDYmJiUL9+fVy6dIlXhRFRkdG4EFq8eDF8fX3x4sUL7Ny5Uz2BWVhYGHr37q31gFJytjWTOgKR3nj06BE++OAD/PjjjwCAESNG4PTp06hWrZrEyYhIl8lEfjMj6rDExETY2NggISEh38UYlSqBKl/vAwBc+rYN7CyMizsikd4RQsDX1xfnzp2DtbU1Vq9ejZ49e0odi4hKkLd9fhdWoa4Nj4+Px+rVqxEREQGZTIYaNWogKCgINjY2WgsmlcS0LPVtc2NDCZMQ6Q+ZTIalS5di1KhRWLduHSpXrix1JCLSExqfGrt48SKqVKmCefPmIS4uDjExMZg3bx6qVKmCS5cuFUXGYhWbkqG+bSLX+NtDRAV0//597NixQ32/fv36OH78OIsgIipWGvcIjR07Fl27dsXKlSshl2c/XaFQYNCgQRgzZgyOHz+u9ZDFKTUze600ZxtTziFEVER2796NgQMHIjU1Fe7u7vD29gYA/swRUbErVI/Ql19+qS6CAEAul2PixIm4ePGiVsNJ4cbTRADsDSIqChkZGRg1ahR69OiB+Ph4eHl5wcHBQepYRKTHNP60t7a2xsOHD/O0P3r0CFZWpX+B0rRXPUJRrxZdJSLtuHv3Lpo2bYqFCxcCACZMmIDjx4/rxfqFRFRyaVwI+fv7IygoCCEhIXj06BEeP36MrVu3YtCgQTpx+fzpuzEAgOYenFWaSFu2b98OLy8vhIWFwd7eHr/99htmz54NIyMjqaMRkZ7TeIzQ//3f/0Emk6Ffv35QKLJXaTcyMsJnn32GH374QesBi9uF+y8BAFYmXGyVSFvu3r2LxMREvP/++9iyZQsqVKggdSQiIgCFKISMjY2xYMECzJo1C3fv3oUQAlWrVoW5uXlR5Ct21mZyJKRloXb50j8VAJGUhBDqwc8TJ06Ek5MT+vbtm2t8IRGR1Ap8aiw1NRUjRoxA+fLl4ejoiEGDBsHZ2Rl169bVmSIIAJLSs3u5GrjZSZyEqPTatGkTfH19kZKSAgAwMDBAYGAgiyAiKnEKXAhNmTIFa9euRadOndCrVy+Ehobis88+K8psxS4pPQvxqdkTKlay053ijqi4pKamYtCgQfj0009x7tw5LFmyROpIRERvVOA/z3bt2oXVq1ejV69eAIBPP/0UTZs2hVKphKGhbszA/Fd0kvq2jTkHcRJpIiIiAn5+frh+/TpkMhm+++47jBs3TupYRERvVOAeoUePHqFZs2bq+w0bNoRcLsfTp0+LJJgUci6Z5xxCRJpZt24dfHx8cP36dZQrVw5//vknpk6dqjN/JBGR7irwJ75SqYSxce4FSOVyufrKMV1w70UyAMDdwULiJESlx//93/9hwIABSE1NRevWrXH58mW0atVK6lhERAVS4FNjQggMGDAAJiYm6rb09HQMGzYMFhb/FA67du3SbsJi9CA2FQBgxsVWiQqsd+/emDNnDkaOHImvvvqKvUBEVKoUuBDq379/nrZPP/1Uq2Gk9iIpe8FV9ggRvZ4QAmfPnoWvry8AoHz58rh165ZOzCxPRPqnwIVQcHBwUeYoEWKSswuhOpxDiChfSUlJGDZsGDZv3oydO3eiR48eAMAiiIhKLU7q8S85V42xR4gor8uXL8PPzw+3b9+GoaEhnjx5InUkIqJ3xsujXknO+GfQN2eVJvqHEAJLly5F48aNcfv2bVSsWBHHjx/H559/LnU0IqJ3xh6hV/7+1xxCDpYmb9iSSH8kJCRg8ODB2L59OwCgS5cuCA4Ohr29vcTJiIi0gz1Cr8S+Gh9kZsQrXohyHD9+HNu3b4dcLsfcuXPxyy+/sAgiIp0ieSG0ZMkSuLu7w9TUFN7e3jhx4kSBnnfq1CnI5XJ4enpqJUdOj1BDd64xRpSjS5cumD59Ok6dOoWxY8eqF1ElItIVhSqENmzYgKZNm8LFxQUPHjwAAMyfPx+//PKLRvsJCQnBmDFjMHnyZISHh6NZs2bo0KEDHj58+MbnJSQkoF+/fvjwww8LEz9fyZnZY4T4e5702cuXLxEUFJRrIPTkyZPRsGFDCVMRERUdjQuhpUuXYty4cejYsSPi4+OhVCoBALa2tpg/f75G+5o7dy6CgoIwaNAg1KhRA/Pnz0fFihWxdOnSNz5v6NChCAgIUM9jog3XnyQAAMpZm2ptn0Slyblz51C/fn2sWbMGgYGBUschIioWGhdCCxcuxMqVKzF58uRcM8j6+Pjg2rVrBd5PZmYmwsLC0LZt21ztbdu2xenTp1/7vODgYNy9exdTpkwp0OtkZGQgMTEx11d+7CyyB0gbGUp+tpCoWAkhMGfOHLz//vt48OABqlSpglmzZkkdi4ioWGj8qR8ZGYn69evnaTcxMUFKSkqB9xMTEwOlUgknJ6dc7U5OToiOjs73Obdv38ZXX32FTZs2QS4v2AVvs2bNgo2NjfqrYsWK+W538X4cAKB2eesCvwei0i42NhZdu3bF+PHjoVAo4Ofnh7CwMHh7e0sdjYioWGhcCLm7u+Py5ct52vfv34+aNWtqHOC/gy+FEPkOyFQqlQgICMC0adPg4eFR4P1PmjQJCQkJ6q9Hjx7lu52tefaCskqVBuGJSrGIiAh4enrit99+g4mJCZYtW4atW7fCxobzaBGR/tB4HqEJEyZgxIgRSE9PhxAC58+fx5YtWzBr1iysWrWqwPtxcHCAoaFhnt6f58+f5+klArKn9r948SLCw8MxcuRIAIBKpYIQAnK5HAcPHsx3xWsTE5NcC8W+TkRU9imzymU5qzTph0qVKsHa2hoeHh7Ytm0b6tWrJ3UkIqJip3EhFBgYCIVCgYkTJyI1NRUBAQEoX748FixYgF69ehV4P8bGxvD29kZoaCi6d++ubg8NDcVHH32UZ3tra+s8Y5CWLFmCw4cPY8eOHXB3d9f0reRiY2aEhLQsWJpwjknSXXFxcbC1tYWBgQEsLCzw22+/wcHBgWuFEZHeKtSn/uDBgzF48GDExMRApVLB0dGxUC8+btw49O3bFz4+PvD19cWKFSvw8OFDDBs2DED2aa0nT55g/fr1MDAwQO3atXM939HREaampnnaCyMhLQsAUMbC+J33RVQSHTt2DL1798aYMWMwceJEAHjnPyCIiEq7d+r+cHBweKcX9/f3R2xsLL7//ntERUWhdu3a2LdvH1xdXQEAUVFRb51TSBvSs5Tq2xbGnFmadItSqcTMmTMxdepUqFQqbNq0CWPHjoWRkZHU0YiIJCcTQghNnuDu7v7G2WXv3bv3zqGKUmJiImxsbJCQkABr6+wrxBJSs1Dv+4MAgNszOvASetIZ0dHR+PTTT3Ho0CEAwIABA7Bo0SJYWHAsHBGVLvl9fmuDxj1CY8aMyXU/KysL4eHhOHDgACZMmKCtXMUqS/XPpWJyA04tTbrh0KFD6NOnD549ewZzc3MsXboU/fr1kzoWEVGJonEhNHr06HzbFy9ejIsXL75zICkolNmdYnIDGddSIp3w7NkzdO7cGenp6ahduza2b9+O6tWrSx2LiKjE0do5oA4dOmDnzp3a2l2xyno1eRBPiZGucHJywuzZszF48GCcP3+eRRAR0Wto7VrxHTt2wM6udK7c/jwpHQCQrlC+ZUuikuuPP/6Ao6Ojeub3kSNHsoeTiOgtNC6E6tevn+uXqxAC0dHRePHiBZYsWaLVcMUlKT175XnNho0TlQwKhQLffvstfvjhB1SpUgWXLl2CtbU1iyAiogLQuBDq1q1brvsGBgYoW7YsPvjgg1Lb/f4kPg0AUKGMmcRJiDTz6NEj9O7dG6dOnQIAtGvXDsbGnAuLiKigNCqEFAoF3Nzc0K5dO5QrV66oMhW7xy+zCyFrU86rQqXH77//jn79+iEuLg7W1tZYtWoVPvnkE6ljERGVKhqNDpbL5fjss8+QkZFRVHkk8SIp+/242ptLnITo7RQKBSZMmIDOnTsjLi4OPj4+CA8PZxFERFQIGl8m1ahRI4SHhxdFFsncfJq94Grt8lx1m0o+AwMD9bp7o0ePxsmTJ1G5cmWJUxERlU4ajxEaPnw4vvjiCzx+/Bje3t55ZqitW7eu1sIVl5epmQAAF1tTiZMQvZ5KpYKBgQEMDAywfv16nDt3Dl26dJE6FhFRqVbgQmjgwIGYP38+/P39AQCjRo1SPyaTySCEgEwmg1JZ+i5Bj0rIvnzeyYqFEJU8GRkZmDBhAlJTU7Fq1SoA2QsOswgiInp3BS6E1q1bhx9++AGRkZFFmUcSRoYyZCkFbM15tQ2VLHfv3oW/vz/CwsIAACNGjFDPE0RERO+uwIVQztqsOSvD6wqVSiDr1RIbDlYshKjk2L59OwYNGoTExETY2dlh/fr1LIKIiLRMo8HSujhBW3xalvq2lQkvnyfppaenY/jw4fDz80NiYiKaNm2Ky5cvo1OnTlJHIyLSORoNlvbw8HhrMRQXF/dOgYpbzhVjAGBmbChhEqJsXbt2RWhoKABg0qRJ+P777yGXa201HCIi+heNfrtOmzYNNja6dYn504TsyRQdLE0kTkKUbezYsbhy5QrWr1+Pdu3aSR2HiEinaVQI9erVC46OjkWVRRJn7sYCAFq+V1biJKSvUlNTcfPmTfj4+AAAOnTogHv37uWZmoKIiLSvwGOEdHF8EACYvzodlppZ+i77p9IvIiICjRo1Qps2bXD//n11O4sgIqLiUeBCSOjo0uxXHscDAOpW0K1TflTyrVu3Dj4+Prh+/TpMTEwQFRUldSQiIr1T4FNjKpWqKHNIJmeh1fQs3Xx/VPKkpKRgxIgRWLduHQDgww8/xMaNG3VqIWMiotJC47XGdE1ievbl81UdLSVOQvrg+vXraNCgAdatWwcDAwP873//wx9//MEiiIhIInp/Te6zxOyV58ta8aoxKnqrVq1CREQEXFxcsHnzZrRo0ULqSEREek3vC6H0V4OkWQhRcfjhhx8AAJMnT0bZsrxSkYhIanp/aixDmT02yMhQN6+KI2ldvnwZQUFB6sWITU1NMX/+fBZBREQlhF4XQkIIZCqyCyFjuV5/K0jLhBBYunQpGjdujDVr1mDOnDlSRyIionzo9amxxDSF+raliV5/K0iLEhISMGTIEGzbtg0A0LlzZwQFBUmcioiI8qPX3SCPXqaqb5sbsxCidxcWFgYvLy9s27YNcrkcc+bMwd69e2Fvby91NCIiyodef/qnZWWP2zDg8CDSgs2bNyMwMBCZmZlwdXVFSEgIGjVqJHUsIiJ6A73uEYpJyr50/r1y1hInIV1Qt25dGBoaonv37ggPD2cRRERUCuh1j1BMSiYAwMHSWOIkVFo9f/5cvRBx7dq1cfHiRdSoUUNn1+YjItI1et0jlPHq1JidBQsh0oxKpcKcOXPg5uaGM2fOqNtr1qzJIoiIqBTR60IoMiYFAGDCS+dJA7GxsejatSvGjx+PtLQ0hISESB2JiIgKSa9PjT16mQYASHk1uzTR25w6dQq9evXC48ePYWJigvnz52Po0KFSxyIiokLS666Qv6ISAQAVy5hLnIRKOpVKhR9++AEtWrTA48ePUa1aNZw9exbDhg3jqTAiolJMrwuhMubZY4PcHVgI0Zvt2bMHkyZNglKpREBAAMLCwuDp6Sl1LCIiekd6fWosKiH71FhVRyuJk1BJ1717dwQEBKBly5YICgpiLxARkY7Q60IoMT17iQ1jQ73uGKN8KJVKLF68GAMGDIC1tTVkMhk2bdokdSwiItIyva4AchZatTU3kjgJlSTR0dFo164dRo8ejaFDh0IIIXUkIiIqInrbI/TvlefNjA0lTkMlxaFDh9CnTx88e/YM5ubmaN++PU+DERHpML3tEcp4VQQBnEeIsk+FTZkyBW3atMGzZ89Qu3ZtXLhwAf3795c6GhERFSG97RFKfjU+CODK8/ouOjoavXr1wrFjxwAAgwYNwoIFC2BuzqsJiYh0nd5WAFnKf3qEDLn8vF4zMDDArVu3YGlpieXLlyMgIEDqSEREVEz0thBSqLIHwJpzfJBeUqlUMDDIPiXq6OiInTt3wt7eHh4eHhInIyKi4qS3g2MyX/UIGfHSeb3z6NEjNG/eHJs3b1a3+fr6sggiItJDelsFJKdnAQCMDHlaTJ/89ttv8PT0xKlTpzBx4kRkZGRIHYmIiCSkt4VQljL71FhMcqbESag4ZGZmYvz48ejSpQvi4uLg7e2NY8eOwcTEROpoREQkIb0dI5RTCL3nxOU1dN39+/fRq1cvnDt3DgAwatQozJ49m0UQERHpbyGUnJF9+bypkd52iumF2NhYeHt7Iy4uDra2tlizZg26d+8udSwiIioh9LYQik1OB5B7YkXSPfb29ggKCsKxY8cQEhICNzc3qSMREVEJoreFkLFh9mXzLIR0z7179yCXy1GpUiUAwIwZMyCEgLGxscTJiIiopNHb80JZquwCqJqjpcRJSJt27NiB+vXrw9/fH1lZr64MNDJiEURERPnS20JIkTOPENcZ0wnp6ekYPnw4PvnkEyQmJsLAwAAJCQlSxyIiohJOb6uA9FenxIw5oWKpd/v2bfj6+mLp0qUAgK+++gpHjx6Fg4ODxMmIiKik09sxQglpOVeNcYmN0mzLli0YMmQIkpOT4eDggA0bNqB9+/ZSxyIiolJCbwuhjCwlAMDOwkjiJFRYCoUCs2fPRnJysnrJjPLly0sdi4iIShG9LYTiU7NnlDaVs0eotJLL5di2bRs2b96MyZMnQy7X23/ORERUSHo7QOZeTAoAwMCAa42VJuvXr8ePP/6ovl+tWjVMmTKFRRARERWK3n56qLJX2ICMdVCpkJKSgpEjR2Lt2rWQyWRo1aoVGjRoIHUsIiIq5fS2EIpLzgAgh4uNmdRR6C2uX78OPz8/REREwMDAAFOnToWXl5fUsYiISAfobSFkZWaE2CwBW3MOli6phBBYs2YNPv/8c6SlpcHZ2RmbN2/GBx98IHU0IiLSEXpbCGUqVABksDJlIVRSDR06FCtXrgQAtGvXDuvXr4ejo6PEqYiISJfo7WDpxy/TAAAmnFm6xGrYsCEMDQ0xa9Ys7Nu3j0UQERFpnd72COWwZo9QiSGEwPPnz+Hk5AQACAoKwvvvv4/q1atLnIyIiHSV5N0hS5Ysgbu7O0xNTeHt7Y0TJ068dttdu3ahTZs2KFu2LKytreHr64s//vjjnV6/QhkOli4JEhMT0atXLzRs2BAvX74EAMhkMhZBRERUpCQthEJCQjBmzBhMnjwZ4eHhaNasGTp06ICHDx/mu/3x48fRpk0b7Nu3D2FhYWjZsiW6dOmC8PDwQr2+hbEh5xEqAcLCwuDl5YVt27bh6dOnbyyGiYiItEkmhBBSvXijRo3g5eWlXiwTAGrUqIFu3bph1qxZBdpHrVq14O/vj++++65A2ycmJsLGxgYVx2yDXRkbXP6ubaGy07sTQmDRokUYP348MjMz4erqiq1bt6Jx48ZSRyMiohIm5/M7ISEB1tbWWtuvZD1CmZmZCAsLQ9u2uQuRtm3b4vTp0wXah0qlQlJSEuzs7F67TUZGBhITE3N95ZCzN0gyL1++xMcff4xRo0YhMzMT3bp1Q3h4OIsgIiIqVpIVQjExMVAqleqBsTmcnJwQHR1doH3MmTMHKSkp8PPze+02s2bNgo2NjfqrYsWK6seSMxSFC0/v7Ouvv8bu3bthZGSEBQsWYNeuXShTpozUsYiISM9IPlha9p81LoQQedrys2XLFkydOhUhISFvvKx60qRJSEhIUH89evRI/ZhKspOCNGPGDLRs2RKnT5/GqFGjCnTMiYiItE2yy+cdHBxgaGiYp/fn35dPv05ISAiCgoKwfft2tG7d+o3bmpiYwMTEJN/Harlo7xwjvVlcXBzWr1+P0aNHQyaTwc7ODocPH5Y6FhER6TnJeoSMjY3h7e2N0NDQXO2hoaFo0qTJa5+3ZcsWDBgwAJs3b0anTp3eLYOh5B1ieuH06dPw9PTE2LFjsXr1aqnjEBERqUk6oeK4cePQt29f+Pj4wNfXFytWrMDDhw8xbNgwANmntZ48eYL169cDyC6C+vXrhwULFqBx48bq3iQzMzPY2Nho/PrSXS+nH1QqFX766SdMnjwZSqUS1apVg4+Pj9SxiIiI1CQthPz9/REbG4vvv/8eUVFRqF27Nvbt2wdXV1cAQFRUVK45hZYvXw6FQoERI0ZgxIgR6vb+/ftj7dq1Gr9+XGrmO78Hyt+LFy/Qv39/7N+/HwDQu3dvLF++HFZWVhInIyIi+oek8whJ4d/zCPVoVBXze9WXOpLOOXnyJPz9/fH06VOYmppi4cKFCAoK4oBoIiIqtKKaR0iv1xoz4hihIpGVlYWoqChUr14d27ZtQ506daSORERElC+9LoQMOaGi1iiVShgaGgIAWrZsiV27dqF169awtLSUOBkREdHr6XWXSHxqltQRdMKhQ4dQo0YN3L59W93WrVs3FkFERFTi6XUhVMOZ8wi9C6VSiSlTpqBNmza4ffs2pkyZInUkIiIijej1qTEjOU+NFdbTp0/Rp08fHD16FAAQFBSEn3/+WdpQREREGtLrQkjFNTYK5Y8//kDfvn3x4sULWFhYYPny5ejTp4/UsYiIiDSm14WQuwPHsGhq//796NixIwCgXr162LZtGzw8PCRORUREVDh6XQjZmhtJHaHUad26NRo3bgxPT0/MnTsXZmZmUkciIiIqNL0uhEyNDKWOUCocO3YMTZo0gZGREYyMjHD48GEWQEREpBP0+qoxziP0ZllZWZg4cSI++OADfPPNN+p2FkFERKQr9LpHyJBLPrzWgwcP0KtXL5w9exYAkJGRASEEl8kgIiKdoteFkIFe94e93p49exAYGIj4+HjY2NhgzZo16NGjh9SxiIiItE6vSwGeGsstMzMTY8aMQffu3REfH4+GDRsiPDycRRAREeks/S6EeJonl0ePHmHVqlUAgHHjxuHEiRNwd3eXOBUREVHR0fNTYyyE/q1KlSoIDg6GqakpunTpInUcIiKiIqfXPUIGet4jlJ6ejs8//1y9TAYAfPLJJyyCiIhIb+h1j5CFsf7OI3T79m34+/sjPDwcu3btwp07d3hZPBER6R297hEyluvn29+6dSu8vLwQHh4OBwcHrFq1ikUQERHpJf2sBF7Rt6vG0tLSMHToUPTu3RvJyclo1qwZLl++jA4dOkgdjYiISBJ6fWpMrkcTCcXHx6N58+a4du0aZDIZJk+ejClTpkAu1+t/AkREpOf0+lNQbqg/PUI2NjaoVasWnj17ho0bN6JNmzZSRyIiIpKcXhdCuj6PUEpKChQKBWxsbCCTybB8+XKkpKTA2dlZ6mhEREQlgv6cG8qHLs8jdOPGDTRs2BADBgyAEAIAYG1tzSKIiIjoX/S2ELIzN5I6QpEQQmDNmjVo0KABbt68iXPnzuHx48dSxyIiIiqR9LYQ0sXeoOTkZPTt2xdBQUFIS0tD27ZtcfnyZVSsWFHqaERERCWS/hZCOjY+6MqVK/D29samTZtgaGiImTNnYv/+/XB0dJQ6GhERUYmlt4OldalDSKlUws/PD7du3UL58uWxdetWvP/++1LHIiIiKvH0t0dIhyohQ0NDBAcH46OPPsLly5dZBBERERWQ3hZCry6kKrUuXbqE7du3q+83adIEe/bsgYODg4SpiIiIShe9LYSiEtKljlAoQggsWrQIvr6+6N+/P27cuCF1JCIiolJLb8cIeVa0lTqCxuLj4xEUFIRdu3YBALp27cp5gYiIiN6B3vYIGRuWrrd+/vx51K9fH7t27YKRkRHmz5+PPXv2wM7OTupoREREpZbe9gg9epkqdYQCW7BgASZMmICsrCy4u7sjJCQEDRo0kDoWERFRqVe6ukW0qHJZC6kjFFhcXByysrLw8ccf49KlSyyCiIiItERve4QsjA2ljvBGCoUCcnn24fnuu+9Qp04dfPzxx5Dp2ESQREREUtLbHiEZSmZBoVKpMHv2bLz//vvIyMgAkD1PUM+ePVkEERERaZn+FkIlsKZ48eIFOnfujC+//BLnzp3Dli1bpI5ERESk0/S2ECppa40dP34cnp6e2L9/P0xNTbFixQr0799f6lhEREQ6TW8LoZJSB6lUKsyYMQMtW7bE06dP8d577+HcuXMYPHgwT4UREREVMb0thEpKj9DEiRPxzTffQKVSoW/fvrh48SLq1q0rdSwiIiK9oLeFUEnpbRk5ciRcXFywZs0arFu3DpaWllJHIiIi0ht6e/m8VIvPK5VKHDlyBK1btwYAuLm54e7duzA1NZUmEBERkR7T4x6h4n/NqKgotGnTBm3atMH+/fvV7SyCiIiIpKG3hVBxjxEKDQ2Fp6cnjhw5AgsLCyQlJRXr6xMREVFeelsIFdcYIYVCgW+++Qbt2rXD8+fPUbduXVy8eBF+fn7F8vpERET0ehwjVIQeP36MgIAAnDhxAgAwdOhQzJs3D2ZmZkX/4kRERPRWelsIqYQo8tc4ceIETpw4ASsrK6xcuRL+/v5F/ppERERUcHpbCL1Iyijy1+jduzfu37+PTz75BFWrVi3y1yMiIiLN6O0YocpltT9fz8OHD/Hxxx/jxYsX6rZJkyaxCCIiIiqh9LZHSNuDpffu3YsBAwbg5cuXkMvlCAkJ0er+iYiISPv0tkdIW2VQZmYmxo4di48++ggvX75EgwYN8MMPP2hp70RERFSUWAi9g8jISLz//vuYP38+AGDs2LE4efIk3N3dtbB3IiIiKmp6e2rsXSdUPHPmDDp06ICEhASUKVMGa9euRdeuXbWUjoiIiIqD3hZC7zpEqFatWnBwcEDNmjWxZcsWuLq6aicYERERFRv9LYQK8ZwnT57AxcUFMpkM1tbWOHToEFxcXGBkZKT1fERERFT09HeMkIZdQiEhIahRowYWL16sbnN1dWURREREVIrpcSFUsO3S0tIwdOhQ9OrVC0lJSfjll18gimFWaiIiIip6+lsIFeDk2N9//43GjRtjxYoVkMlkmDx5Mvbv319sC7YSERFR0dLfMUJvqWU2btyIYcOGISUlBY6Ojti4cSPatGlTPOGIiIioWLAQysft27cxYMAAKJVKtGzZEps2bYKzs3PxhSMiIqJiwUIoH9WqVcOsWbOQmpqKb775BoaGhsUXjIiIiIoNCyEAQgisW7cODRo0QK1atQAAEyZMkCgZERERFRfJB0svWbIE7u7uMDU1hbe3N06cOPHG7Y8dOwZvb2+YmpqicuXKWLZsWaFeN2ewdHJyMvr374/AwED4+fkhNTW1UPsjIiKi0kfSQigkJARjxozB5MmTER4ejmbNmqFDhw54+PBhvttHRkaiY8eOaNasGcLDw/H1119j1KhR2Llzp8avLZMBV69ehY+PDzZs2AADAwP06dMHpqam7/q2iIiIqJSQCQknxWnUqBG8vLywdOlSdVuNGjXQrVs3zJo1K8/2X375Jfbu3YuIiAh127Bhw3DlyhWcOXOmQK+ZmJgIGxsb+I38Br+s/AkZGRkoX748tmzZgmbNmr37myIiIiKty/n8TkhIgLW1tdb2K1mPUGZmJsLCwtC2bdtc7W3btsXp06fzfc6ZM2fybN+uXTtcvHgRWVlZGr3+tkXTkZGRgQ4dOuDy5cssgoiIiPSQZIOlY2JioFQq4eTklKvdyckJ0dHR+T4nOjo63+0VCgViYmLyvcQ9IyMDGRkZ6vsJCQnZN2QyfD9tGj7//HMYGBggMTHxHd8RERERFZWcz2ltn8iS/Kqx/87SLIR448zN+W2fX3uOWbNmYdq0aXkfEALfffcdvvvuOw0TExERkVRiY2NhY2Ojtf1JVgg5ODjA0NAwT+/P8+fP8/T65ChXrly+28vlctjb2+f7nEmTJmHcuHHq+/Hx8XB1dcXDhw+1+o2kwklMTETFihXx6NEjrZ7zJc3xWJQcPBYlB49FyZGQkIBKlSrBzs5Oq/uVrBAyNjaGt7c3QkND0b17d3V7aGgoPvroo3yf4+vri19//TVX28GDB+Hj4/PaVeBNTExgYmKSp93Gxob/qEsQa2trHo8Sgsei5OCxKDl4LEoOAwPtDm+W9PL5cePGYdWqVVizZg0iIiIwduxYPHz4EMOGDQOQ3ZvTr18/9fbDhg3DgwcPMG7cOERERGDNmjVYvXo1xo8fL9VbICIiolJM0jFC/v7+iI2Nxffff4+oqCjUrl0b+/btg6urKwAgKioq15xC7u7u2LdvH8aOHYvFixfDxcUFP//8Mz7++GOp3gIRERGVYpIPlh4+fDiGDx+e72Nr167N09aiRQtcunSp0K9nYmKCKVOm5Hu6jIofj0fJwWNRcvBYlBw8FiVHUR0LSSdUJCIiIpKS5GuNEREREUmFhRARERHpLRZCREREpLdYCBEREZHe0slCaMmSJXB3d4epqSm8vb1x4sSJN25/7NgxeHt7w9TUFJUrV8ayZcuKKanu0+RY7Nq1C23atEHZsmVhbW0NX19f/PHHH8WYVvdp+rOR49SpU5DL5fD09CzagHpE02ORkZGByZMnw9XVFSYmJqhSpQrWrFlTTGl1m6bHYtOmTahXrx7Mzc3h7OyMwMBAxMbGFlNa3XX8+HF06dIFLi4ukMlk2LNnz1ufo5XPb6Fjtm7dKoyMjMTKlSvFzZs3xejRo4WFhYV48OBBvtvfu3dPmJubi9GjR4ubN2+KlStXCiMjI7Fjx45iTq57ND0Wo0ePFj/++KM4f/68uHXrlpg0aZIwMjISly5dKubkuknT45EjPj5eVK5cWbRt21bUq1eveMLquMIci65du4pGjRqJ0NBQERkZKc6dOydOnTpVjKl1k6bH4sSJE8LAwEAsWLBA3Lt3T5w4cULUqlVLdOvWrZiT6559+/aJyZMni507dwoAYvfu3W/cXluf3zpXCDVs2FAMGzYsV1v16tXFV199le/2EydOFNWrV8/VNnToUNG4ceMiy6gvND0W+alZs6aYNm2atqPppcIeD39/f/HNN9+IKVOmsBDSEk2Pxf79+4WNjY2IjY0tjnh6RdNj8dNPP4nKlSvnavv5559FhQoViiyjPipIIaStz2+dOjWWmZmJsLAwtG3bNld727Ztcfr06Xyfc+bMmTzbt2vXDhcvXkRWVlaRZdV1hTkW/6VSqZCUlKT1Bfb0UWGPR3BwMO7evYspU6YUdUS9UZhjsXfvXvj4+GD27NkoX748PDw8MH78eKSlpRVHZJ1VmGPRpEkTPH78GPv27YMQAs+ePcOOHTvQqVOn4ohM/6Ktz2/JZ5bWppiYGCiVyjyr1zs5OeVZtT5HdHR0vtsrFArExMTA2dm5yPLqssIci/+aM2cOUlJS4OfnVxQR9Uphjsft27fx1Vdf4cSJE5DLdepXhaQKcyzu3buHkydPwtTUFLt370ZMTAyGDx+OuLg4jhN6B4U5Fk2aNMGmTZvg7++P9PR0KBQKdO3aFQsXLiyOyPQv2vr81qkeoRwymSzXfSFEnra3bZ9fO2lO02ORY8uWLZg6dSpCQkLg6OhYVPH0TkGPh1KpREBAAKZNmwYPD4/iiqdXNPnZUKlUkMlk2LRpExo2bIiOHTti7ty5WLt2LXuFtECTY3Hz5k2MGjUK3333HcLCwnDgwAFERkaqFwun4qWNz2+d+jPPwcEBhoaGeSr558+f56kac5QrVy7f7eVyOezt7Yssq64rzLHIERISgqCgIGzfvh2tW7cuyph6Q9PjkZSUhIsXLyI8PBwjR44EkP1hLISAXC7HwYMH0apVq2LJrmsK87Ph7OyM8uXLw8bGRt1Wo0YNCCHw+PFjVKtWrUgz66rCHItZs2ahadOmmDBhAgCgbt26sLCwQLNmzTB9+nSeRShG2vr81qkeIWNjY3h7eyM0NDRXe2hoKJo0aZLvc3x9ffNsf/DgQfj4+MDIyKjIsuq6whwLILsnaMCAAdi8eTPPuWuRpsfD2toa165dw+XLl9Vfw4YNw3vvvYfLly+jUaNGxRVd5xTmZ6Np06Z4+vQpkpOT1W23bt2CgYEBKlSoUKR5dVlhjkVqaioMDHJ/dBoaGgL4pzeCiofWPr81GlpdCuRcCrl69Wpx8+ZNMWbMGGFhYSHu378vhBDiq6++En379lVvn3P53dixY8XNmzfF6tWrefm8lmh6LDZv3izkcrlYvHixiIqKUn/Fx8dL9RZ0iqbH47941Zj2aHoskpKSRIUKFUTPnj3FjRs3xLFjx0S1atXEoEGDpHoLOkPTYxEcHCzkcrlYsmSJuHv3rjh58qTw8fERDRs2lOot6IykpCQRHh4uwsPDBQAxd+5cER4erp7KoKg+v3WuEBJCiMWLFwtXV1dhbGwsvLy8xLFjx9SP9e/fX7Ro0SLX9kePHhX169cXxsbGws3NTSxdurSYE+suTY5FixYtBIA8X/379y/+4DpK05+Nf2MhpF2aHouIiAjRunVrYWZmJipUqCDGjRsnUlNTizm1btL0WPz888+iZs2awszMTDg7O4s+ffqIx48fF3Nq3XPkyJE3fgYU1ee3TAj25REREZF+0qkxQkRERESaYCFEREREeouFEBEREektFkJERESkt1gIERERkd5iIURERER6i4UQERER6S0WQkSUy9q1a2Frayt1jEJzc3PD/Pnz37jN1KlT4enpWSx5iKhkYyFEpIMGDBgAmUyW5+vOnTtSR8PatWtzZXJ2doafnx8iIyO1sv8LFy5gyJAh6vsymQx79uzJtc348eNx6NAhrbze6/z3fTo5OaFLly64ceOGxvspzYUpUUnHQohIR7Vv3x5RUVG5vtzd3aWOBSB7UdeoqCg8ffoUmzdvxuXLl9G1a1colcp33nfZsmVhbm7+xm0sLS01Wp26sP79Pn///XekpKSgU6dOyMzMLPLXJqKCYSFEpKNMTExQrly5XF+GhoaYO3cu6tSpAwsLC1SsWBHDhw/Ptar5f125cgUtW7aElZUVrK2t4e3tjYsXL6ofP336NJo3bw4zMzNUrFgRo0aNQkpKyhuzyWQylCtXDs7OzmjZsiWmTJmC69evq3usli5diipVqsDY2BjvvfceNmzYkOv5U6dORaVKlWBiYgIXFxeMGjVK/di/T425ubkBALp37w6ZTKa+/+9TY3/88QdMTU0RHx+f6zVGjRqFFi1aaO19+vj4YOzYsXjw4AH+/vtv9TZvOh5Hjx5FYGAgEhIS1D1LU6dOBQBkZmZi4sSJKF++PCwsLNCoUSMcPXr0jXmIKC8WQkR6xsDAAD///DOuX7+OdevW4fDhw5g4ceJrt+/Tpw8qVKiACxcuICwsDF999RWMjIwAANeuXUO7du3Qo0cPXL16FSEhITh58iRGjhypUSYzMzMAQFZWFnbv3o3Ro0fjiy++wPXr1zF06FAEBgbiyJEjAIAdO3Zg3rx5WL58OW7fvo09e/agTp06+e73woULAIDg4GBERUWp7/9b69atYWtri507d6rblEoltm3bhj59+mjtfcbHx2Pz5s0AoP7+AW8+Hk2aNMH8+fPVPUtRUVEYP348ACAwMBCnTp3C1q1bcfXqVXzyySdo3749bt++XeBMRATo5OrzRPquf//+wtDQUFhYWKi/evbsme+227ZtE/b29ur7wcHBwsbGRn3fyspKrF27Nt/n9u3bVwwZMiRX24kTJ4SBgYFIS0vL9zn/3f+jR49E48aNRYUKFURGRoZo0qSJGDx4cK7nfPLJJ6Jjx45CCCHmzJkjPDw8RGZmZr77d3V1FfPmzVPfByB2796da5spU6aIevXqqe+PGjVKtGrVSn3/jz/+EMbGxiIuLu6d3icAYWFhIczNzdUraXft2jXf7XO87XgIIcSdO3eETCYTT548ydX+4YcfikmTJr1x/0SUm1zaMoyIikrLli2xdOlS9X0LCwsAwJEjRzBz5kzcvHkTiYmJUCgUSE9PR0pKinqbfxs3bhwGDRqEDRs2oHXr1vjkk09QpUoVAEBYWBju3LmDTZs2qbcXQkClUiEyMhI1atTIN1tCQgIsLS0hhEBqaiq8vLywa9cuGBsbIyIiItdgZwBo2rQpFixYAAD45JNPMH/+fFSuXBnt27dHx44d0aVLF8jlhf911qdPH/j6+uLp06dwcXHBpk2b0LFjR5QpU+ad3qeVlRUuXboEhUKBY8eO4aeffsKyZctybaPp8QCAS5cuQQgBDw+PXO0ZGRnFMvaJSJewECLSURYWFqhatWqutgcPHqBjx44YNmwY/ve//8HOzg4nT55EUFAQsrKy8t3P1KlTERAQgN9//x379+/HlClTsHXrVnTv3h0qlQpDhw7NNUYnR6VKlV6bLadAMDAwgJOTU54PfJlMluu+EELdVrFiRfz9998IDQ3Fn3/+ieHDh+Onn37CsWPHcp1y0kTDhg1RpUoVbN26FZ999hl2796N4OBg9eOFfZ8GBgbqY1C9enVER0fD398fx48fB1C445GTx9DQEGFhYTA0NMz1mKWlpUbvnUjfsRAi0iMXL16EQqHAnDlzYGCQPURw27Ztb32eh4cHPDw8MHbsWPTu3RvBwcHo3r07vLy8cOPGjTwF19v8u0D4rxo1auDkyZPo16+fuu306dO5el3MzMzQtWtXdO3aFSNGjED16tVx7do1eHl55dmfkZFRga5GCwgIwKZNm1ChQgUYGBigU6dO6scK+z7/a+zYsZg7dy52796N7t27F+h4GBsb58lfv359KJVKPH/+HM2aNXunTET6joOlifRIlSpVoFAosHDhQty7dw8bNmzIc6rm39LS0jBy5EgcPXoUDx48wKlTp3DhwgV1UfLll1/izJkzGDFiBC5fvozbt29j7969+PzzzwudccKECVi7di2WLVuG27dvY+7cudi1a5d6kPDatWuxevVqXL9+Xf0ezMzM4Orqmu/+3NzccOjQIURHR+Ply5evfd0+ffrg0qVLmDFjBnr27AlTU1P1Y9p6n9bW1hg0aBCmTJkCIUSBjoebmxuSk5Nx6NAhxMTEIDU1FR4eHujTpw/69euHXbt2ITIyEhcuXMCPP/6Iffv2aZSJSO9JOUCJiIpG//79xUcffZTvY3PnzhXOzs7CzMxMtGvXTqxfv14AEC9fvhRC5B6cm5GRIXr16iUqVqwojI2NhYuLixg5cmSuAcLnz58Xbdq0EZaWlsLCwkLUrVtXzJgx47XZ8hv8+19LliwRlStXFkZGRsLDw0OsX79e/dju3btFo0aNhLW1tbCwsBCNGzcWf/75p/rx/w6W3rt3r6hataqQy+XC1dVVCJF3sHSOBg0aCADi8OHDeR7T1vt88OCBkMvlIiQkRAjx9uMhhBDDhg0T9vb2AoCYMmWKEEKIzMxM8d133wk3NzdhZGQkypUrJ7p37y6uXr362kxElJdMCCGkLcWIiIiIpMFTY0RERKS3WAgRERGR3mIhRERERHqLhRARERHpLRZCREREpLdYCBEREZHeYiFEREREeouFEBEREektFkJERESkt1gIERERkd5iIURERER6i4UQERER6a3/B/m98V9AvaAUAAAAAElFTkSuQmCC", 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" + "
" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], "source": [ - "roc_auc, fpr, tpr, ROCthresholds = ROC_curve(trainingdatafolder, model, features)\n", + "roc_auc, fpr, tpr, ROCthresholds = ROC_curve(model, testX, testY)\n", "\n", "fig, ax = plt.subplots()\n", "ax.plot(fpr, tpr)\n", @@ -1237,114 +1780,59 @@ }, { "cell_type": "code", - "execution_count": 15, - "metadata": {}, - "outputs": [], - "source": [ - "stride = 10\n", - "np.savetxt('../spock/models/resROC.txt', (ROCthresholds[::stride], tpr[::stride], fpr[::stride]))" - ] - }, - { - "cell_type": "code", - "execution_count": 16, + "execution_count": 17, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "Threshold 1.9896588325500488, TPR = 0.0, FPR = 0.0\n", - "Threshold 0.8918883800506592, TPR = 0.2820996978851964, FPR = 0.004364555217366336\n", - "Threshold 0.8338184356689453, TPR = 0.408987915407855, FPR = 0.009245965657841842\n", - "Threshold 0.7911725640296936, TPR = 0.47658610271903323, FPR = 0.01418480445644059\n", - "Threshold 0.745854914188385, TPR = 0.5404078549848943, FPR = 0.019525641761902027\n", - "Threshold 0.705155074596405, TPR = 0.589690332326284, FPR = 0.025211049216102913\n", - "Threshold 0.6644747257232666, TPR = 0.6355740181268882, FPR = 0.031183598460920003\n", - "Threshold 0.6241954565048218, TPR = 0.6714501510574018, FPR = 0.03790271636133923\n", - "Threshold 0.5779088735580444, TPR = 0.7063821752265861, FPR = 0.044449549187388734\n", - "Threshold 0.5285456776618958, TPR = 0.7379154078549849, FPR = 0.05243209096651927\n", - "Threshold 0.48045119643211365, TPR = 0.771714501510574, FPR = 0.060931487968758975\n", - "Threshold 0.43897873163223267, TPR = 0.7938066465256798, FPR = 0.07184287601217482\n", - "Threshold 0.3960135579109192, TPR = 0.8164652567975831, FPR = 0.08206512375811176\n", - "Threshold 0.3485501706600189, TPR = 0.8412009063444109, FPR = 0.09619249985642911\n", - "Threshold 0.31175217032432556, TPR = 0.8648036253776435, FPR = 0.10681674610922874\n", - "Threshold 0.2655350863933563, TPR = 0.8838746223564955, FPR = 0.12329868489059898\n", - "Threshold 0.22369396686553955, TPR = 0.9050226586102719, FPR = 0.14035490725320163\n", - "Threshold 0.18406251072883606, TPR = 0.9227719033232629, FPR = 0.16298168035375868\n", - "Threshold 0.15080255270004272, TPR = 0.9384441087613293, FPR = 0.18434502957560445\n", - "Threshold 0.11833414435386658, TPR = 0.9535498489425982, FPR = 0.2139780623671969\n", - "Threshold 0.08525991439819336, TPR = 0.9680891238670695, FPR = 0.25429276976971227\n", - "Threshold 0.054665930569171906, TPR = 0.9822507552870091, FPR = 0.31183598460920003\n", - "Threshold 0.022918205708265305, TPR = 0.9949018126888217, FPR = 0.4363980933785103\n", - "Threshold 0.007455842569470406, TPR = 0.9994335347432024, FPR = 0.6686958019870212\n", - "Threshold 0.005663021933287382, TPR = 0.9998111782477341, FPR = 0.7644288749784643\n", - "Threshold 0.004314519930630922, TPR = 1.0, FPR = 0.8834204330098202\n", - "Threshold 0.003872362431138754, TPR = 1.0, FPR = 0.965255843335439\n" + "AUC: 0.9429655885741256 \n", + "FPR: 0.1604654403567447\n" ] } ], "source": [ - "ROCthresholds, tpr, fpr = np.loadtxt('../spock/models/resROC.txt')\n", - "for i in range(0,len(tpr), 15):\n", - " print(\"Threshold {0}, TPR = {1}, FPR = {2}\".format(ROCthresholds[i], tpr[i], fpr[i]))" + "tprthreshindex = np.where(tpr >=0.9)[0][0]\n", + "falsePos = fpr[tprthreshindex]\n", + "print(f\"AUC: {roc_auc} \\nFPR: {falsePos}\")" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Feature importance" ] }, { "cell_type": "code", - "execution_count": 17, + "execution_count": 18, "metadata": {}, "outputs": [ { "data": { - "image/png": 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ObtdapG//XuCjDap6Kb/zcNLvZ1GTd67WNQG4ML/f/Jx3B+A8YEvgxBZ5O/1uOd83gc+Xbi0gzaf9t3y8T9IR5b/jbCqwbv75lfx+6wD75OM/JI2PiJebNRm4Ghif83f379fMzMzMrM/rUk9mRDwO3AZsDLy98rjoxZzS4H/am7mKNKx2vKRhTcrrSK9oe96Zzwsj4vnyA0l7kwLMV4FPA8MiYgQpCNoImAD8qUgfEQcBbytdj64cZzao/6ukwOjdwFp5vugupTaMJwVbS4CTgVERMZQUVO0HPEIKxs9u8Y5XAr8GNs/tHwZ8kTQkebyk9zTIcy4pSFtEGko8NCKGA9sBD9A2n3W5iLg9Ikbn+gDOrH6DBvWsD/wAOB/YMLdvZH5ngE+1GILdpXeTdAIpwHwe+AQwMn/3tYEPADNIw7u/0KC+PwIfATYDBuc6h+Zv9CzwHtLfSjMHkeYTf4L09zSS1GP/eIs8ZmZmZmartO7sk1kEfcuHzOZhh0dWnrcrIhbQ1kN1cKm8LYA9SIHATV1tqKTRks6jLchsNLdz93y+ISLOyW0ikhkRcUlETOxqG7I1gfdExG+LADwiHsttfB2pBxPgqIg4IyKey2mWRcSNpOB0EXCspA2b1HEXcGhETMt5F0XEZOC6/PzgcuL8jYs5qh+NiJ9ExLKc9yFSkNTevNqOWgu4NCKOj4iZuY65EfEpUjAr4P0t8nf23UYAXwdeBt4bEedHxNycd2lEXEUKBAP4XHXIbUQcFBEXRsRTRW9lrvMnpAAVUgDZzFDgU7nexTn/cxExv9LORlvvNB1ubGZmZmbWl3UnyPwZaXuQgyStne/tQ+r1uTsi/tbJ8lYIWnltr+grnSjr6jxn71lJ80lB6nH52X3AlxrkKf7HfwNJ3fkurVwfEQ82eTaO9O2mRcQ1jRJExBPAnaRhzuOalDM5IhoFKNfm83aV+/9BCu6eBq5oUOc84H+a1NUVZzS5/8t8rravrLPv9n5SoPeniPhzowIj4k5Sz+JI2oYLtysibgXmAmMkbdQk2Wzgoo6WaWZmZmbWH3Q5mMo9Qr8mDTssep+6M7T1RlIwuLekzfK9TveKZsWwxFHA60v3fwTsHhGNtlW5iTTPcCdgqqQjWwQPXXVHi2dj83mjUoC8wkHq2QV4Q5Ny7mpyf3o+j6zc3zGfb2sSwAHc2qLdnTEnD7VupFn7yjr7bsU33a2db7ppTrfCN5V0sKRr88I/Syo9jSNysmZ/J3e3mK+5XESo0dFePjMzMzOzvqi7PXZF8HeUpCGkYHMZDXrE2pN7Ki8n9aodKWlP4I3AXyLigU4Wt2/pf9RHk+ZTzgaOpW011Gr9jwEfJw0N3Yu0CNB0pRVez5e0Y6N8nfR8i2fF8NdBtAXIjY7BOd1ajQophvk2sDSfq6vTFgsXzWjRtn+2eNYZrRa+ada+5brwbsU3HULrb1rkW/5NJQ2QdDVpvvB4UgAq0mJPM/NRzDkuevKrWv2+zczMzMz6pe4Gmb8FniMt/nMcaSGW6yNiVhfLWx60UtOCPxExMyIuoW3l0e8220IiIi4CNietcPpLUmA6BvgYcI+kk7vTFtIKo80Uv4trmvVsVY5J3WxLoT/3mBXf9OwOftOLS3k/QhpKvBg4AXhDRAyOiPVLCxsVwXezb9iZId5mZmZmZv1Ct4LMPBTwp7mcb+TblzXP0W559wP3k7almED6n/TLu9PGUtl/Ii34M4gWq7PmoPQ7EXEgaTXUXYFrSIHEaZJ2qKM9DRRboGzbQ+U3U/S2NVtIqL1nfVl3vukh+XxaRJwbEc+UH+aFmtZbMZuZmZmZ2eqtjgVuip7GgcALpHmadZV3Q7EKaU2+QVpJdJykd7SXOK8sexcp4HiG9L32LCUp7w/a3R7BYr7mNu1s41G3+/J5jxbvsFeL/MU36Is9osU33UfSui1TrmiTfL6vyfM9aBu6bGZmZmZmWbeDzIi4B5gEnAWcGBEvdrPIy3JZZ9HWO1qLiHgE+FW+/HL5WXX7ikq+V0hzTSFtQ1Iob0Uxgu75PfBU/vns3FPWkKRWi+N01rWkwPsNtG3LUa5rGGm4cDPFN+ju+/eEq0hbvgwG/rtVwgbfdF4+b98g7QDS1ihmZmZmZlZRy1YdEfG1iJgYEd2aP5nLei6XNTEibqujfRXfyud98uJChdMl/VzSgZLWKW5KGiXpXNJczSCtglu0dS5t8/I+1J1G5b0pj891vBO4QdJuRe9iXohmZ0mTSVtu1CIi/gFMyZcXSjo8B1FI2ha4niaLDGUP5fP+Lfbu7BURMRv4Yr78kKSfSVq+zYmkwZL2lPQ9oPq3VvyevyJpfBH0S/oXUm/9rqQA1szMzMzMSnpqP8g+KyJuB27Pl18pPRpAWh33GmC2pHl5j81nScEfwJcb7HN5YT6fJWmhpGn5OLELbfsV8GHSVipvJ+2JuVjSLNIKqncDX6D+XsPjgb+Q9pScAiyUNJcUQO4AfCKne6lB3muAOcDWwDOSZhTfoOY2dklEnEf6PQdp2PMDkhZJmkMKEm8lvd+QStYzgX+QFrO6FlgiaR7wN9I/AnyMtNKsmZmZmZmVrHZBZlb0Zu4n6W3557OBT5FWlX2UNMdwTeBp4Epg74g4vUFZp5ICv/tzns3y0aVAMCJ+TFr46BxSkPcyMJy00u3NwETSire1yT2yewCnAY+R3mMpaSuaXUmBFcDcBnlnAfsCV5MWEVqftm/QJ0TE14G3ABcAfye939qkbVuuJ21ds1slzxxgd+B80nxcSNvbXAvsU1mJ1szMzMzMMkVEb7fB+jhJHyb12N4SEeN6uTmrjTU33Co2POac3m6GmZmZ2Wpr2uQDersJK4WkeyJil7rKG1BXQdY/5QWRTsiXN7ZKa/XafuPh3L2a/IfNzMzMzPqP1XW4rJVI2lTSjyXtJWntfE+SdgV+R1phdR7wo95sp5mZmZmZ9X3uyTSAQcCEfJAX/RlM2z6QS4EjI+LZ3micmZmZmZmtOtyTaZC2YfksqdfySVLQGaRFcn4A7BARv+m95pmZmZmZ2arCPZlGRCwGvp0PMzMzMzOzLnNPppmZmZmZmdXGQaaZmZmZmZnVxkGmmZmZmZmZ1cZBppmZmZmZmdXGQaaZmZmZmZnVxkGmmZmZmZmZ1cZBppmZmZmZmdXGQaaZmZmZmZnVxkGmmZmZmZmZ1cZBppmZmZmZmdXGQaaZmZmZmZnVxkGmmZmZmZmZ1cZBppmZmZmZmdXGQaaZmZmZmZnVxkGmmZmZmZmZ1cZBppmZmZmZmdVmQG83wMwae2D6PMacdF1vN8PMzMxslTVt8gG93YTVknsyzczMzMzMrDYOMm2VJGmcpJA0rRtlbCXpp5KelfRKLu/i+lppZmZmZrb66dUgU9LF+X/sQ9IySRu0k/7AUvqQNKHyfFrp2f0dqP+cSnljKs/HVJ4Xx0uSZkq6UdJ/Sqpt2LGkEZImSZpUV5mrmvx7niRpXA/WsQ5wK/BBYBTwAjATmNdTdZqZmZmZrQ76Uk/mAODwdtIc3Ynytpf01mYPc2B4WCfKK4KQmcBSYAPgHcAPgZslrdWJsloZAZySj9XVgaT3H9eDdRxGCi4fBTaKiPUiYnREnNCDdZqZmZmZ9Xt9Jch8Kp+bBpG55+kAYCEwp7vlAfuTAsUnO9jGg3IQMjoihgEbAd/Lz/YEJnWwHOsb3pzPv46IGb3aEjMzMzOzfqSvBJl3AP8AdpT05iZpDgUGAb8AlrRT3hQggMMlva5JmiIA/Ukn2wpARMyIiOOAG/Kto7pSjvWaIfm8sFdbYWZmZmbWz/SVIBPgsnxu1vtY3L+0A2U9BdxCGg65X/WhpOHAvwOLSUFrd9yYz6Nzb2u1rjUkTZB0s6TZee7p85IeknSRpP1LaacCT5Suq3NBJ5XTFvNS8zzOb0p6WNJiSXMbtGO7XN8TkpZKmivpNkkfkzSwQfrl81FL+YtFcpbmur4iaVCzDyNpSJ5b+UjOMyOXsV21/Jx+XL4+Jt86pfoNWtS1h6TfSJolaYmkv0o6TpIq6abmciY0qqOUbqikQyRNkfRg/l5LJD0m6QJJW7Voy/I5vpLeJOkSSU/n3/21zfKZmZmZmfUHfWmfzMtIQ06PkPTFiHi1eCBpa2A34GlgaifKG0cKTq+vPPsgMBi4HFjQnUYD5SCmUa/pZbx2ruk8YBiwHrBtPn6bn80BZuVnkOZ/ljXqdVsfuAfYAngReGmFBkrHAd+h7R8VFgFDgbH5+KCkAyJicYPykbQfcC2p928eMBDYBjgV2Jk0h7KaZzjw+/yc3K61SN/+vcBHG1T1Un7n4aTfz6Im71ytawJwYX6/+TnvDsB5wJbAiaXkczpYx4Scv7Agl//GfBwu6cCIuKlF0/YC/of03guAl9t7FzMzMzOzVV2f6cmMiMeB24CNgbdXHhe9mFPKwWc7riINqx0vaViT8jrSK9qed+bzwoh4vvxA0t6kAPNV4NPAsIgYQQpuNiIFMn8q0kfEQcDbStejK8eZDer/KinoezewVp4vukupDeNJwdIS4GRgVEQMJQWM+wGPkILxs1u845XAr4HNc/uHAV8kDUkeL+k9DfKcSwowF5GGEg+NiOHAdsADtM1nXS4ibo+I0bk+gDOr36BBPesDPwDOBzbM7RtJW4D4qfIQ7Ig4qFUdpXJn5zLGAiPydx0MvIk0HHtt4HJJazf7aMD3gbuA7XP+tYDPtkhvZmZmZrbK6zNBZlYEfcuHzObhjkdWnrcrIhbQ1vt2cKm8LYA9gBlAq16oliSNlnQebUFmo7mdu+fzDRFxTm4TkcyIiEsiYmJX25CtCbwnIn5bBOAR8Vhu4+tIPZgAR0XEGRHxXE6zLCJuJAWni4BjJW3YpI67gEMjYlrOuygiJgPX5ecHlxPnb1zMUf1oRPwkIpblvA+RFl1qb15tR60FXBoRx0fEzFzH3Ij4FCmYFfD+zhYaEVdExKci4o6ImJfvRUQ8THq3m0gB7sEtinkOeHdEPFjK/49qogbDolsODTYzMzMz68v6WpD5M9L2IAeVeoj2ATYD7o6Iv3WyvBWCVl7bK/pKJ8q6Os9HfFbSfFKQelx+dh/wpQZ55ufzBpJ66ltfXwQxDYwjfbtpEXFNowQR8QRwJ2no9Lgm5UyOiEZBTzG/cLvK/f8gBXdPA1c0qHMeaRhpXc5ocv+X+VxtX7fkb1EE2Hu0SPrdiKgrmDYzMzMzWyX0qSAzIuaShmWuTVvvU3eGtt5ICgb3lrRZvtfpXtFsJGkhoVHA60v3fwTsHhGNtlW5iTTPcCdgqqQjJW3UyXrbc0eLZ2PzeaNSgLzCQVug9IYm5dzV5P70fB5Zub9jPt/WJDgFuLVFuztjTh5q3Uiz9nWIpE3ygkr35IV/Xin1MhbDi1v9Plv9bpaLCDU6utJmMzMzM7Pe1qeCzKwI/o6SNIQUbC6jQY9Ye3JP5eWkXrUjJe1JWrTlLxHxQCeL27f0P/+jSfMpZwPH0rYaarX+x4CPk4aG7kVaBGh6XuH1fEk7NsrXSc+3eFYMfx1EW4Dc6Bic063VqJBimG8DS/O5ujptsXBRq/0n/9niWWe0WripWfvaJWkf4G/A50n/SDA81zUzH0Uvdas5ma1+N2ZmZmZm/VJfDDJ/S5rL9nbScNRhpCGhs7pY3vKglZoW/ImImRFxCW2rqn5X0lubpL0I2Jy0wukvSYHpGOBjwD2STu5OW4BWQ36L3+81zXrLKsekbralsEr3wuUtXX5CWoH3JmBvYEhEjCgtEPSZInmLojozHNvMzMzMrF/oc0FmRLwM/JTUtm/k25c1z9FuefcD95O23JhA+h//y7vXyuVl/4kUjAyixeqsOSj9TkQcSFosZlfgGlKAcpqkHepoTwPFFijb9lD5zRQ9eM0WEmrvWW/7V2AT0nYn4yPi1ohYWkkzauU3y8zMzMys7+tzQWZW9DQOBF4gzdOsq7wbilVIa/IN0lYe4yS9o73EeYXRu4BDgGdIv4M9S0nK+4N2t0ewmBO4TXkbj5Xgvnzeo8U77NUif/ENeqtHdJN8fjSa7B0KtPu7NjMzMzNbHfXJIDMi7gEmAWcBJ0bEi90s8rJc1lm09Y7WIiIeAX6VL79cfiZpUGao2kYAACAASURBVIt8r5DmmkLahqQwv/TziG427/fAU/nns/OWJg1J6tLiOE1cSwq83wB8oEFdw0jDhZspvkF337+r5uXzVpIGVx9K2g/Yd+U2yczMzMxs1dAng0yAiPhaREyMiG7Nn8xlPZfLmhgRt9XRvopv5fM+eXGhwumSfi7pQEnrFDcljZJ0LmmuZpBWwS3aOpe2RXE+1J1G5b0pj891vBO4QdJuRe+ipAGSdpY0GWi2QmtX6v0HMCVfXijpcEkDcp3bAtfTZJGh7KF83r/F3p096TZgMbAucGnRBklDJB0L/II0t9bMzMzMzCr6bJC5KomI24Hb8+VXSo8GkFbHvQaYLWle3mPzWVLwB/DlBvtcXpjPZ0laKGlaPk7sQtt+BXyYtJXK20l7Yi6WNIu0+urdwBeov9fweOAvpMVzpgALJc0lBZA7AJ/I6V5qkPca0nzIrYFnJM0ovkHNbWwoB/pfzJeHAP/MbZ9P2rLmMeBrK6MtZmZmZmarGgeZ9Sl6M/eT9Lb889nAp0iryj5KmmO4JvA0cCWwd0Sc3qCsU0mB3/05z2b56FIgGBE/Ji18dA4pyHuZtCXHbOBmYCJpxdva5EBtD+A0UlAmUlB7BWnho7/lpHMb5J1FGo56NWkRofVp+wYrRUScCxxEW6/mAOBh4BTS/qOttk4xMzMzM1ttKSJ6uw22GpL0YVKP7S0RMa6Xm9MnrbnhVrHhMef0djPMzMzMVlnTJh/Q201YJUi6JyJ2qau8AXUVZNZReUGkE/Llja3Srs6233g4d/s/jGZmZma2ivFwWesRkjaV9GNJe0laO9+TpF2B3wHbk1Zx/VFvttPMzMzMzOrlnkzrKYOACfkgL5wzOB+Q5mceGRHP9kbjzMzMzMysZ7gn03rKP4HPknotnyQFnQH8HfgBsENE/Kb3mmdmZmZmZj3BPZnWIyJiMfDtfJiZmZmZ2WrCPZlmZmZmZmZWGweZZmZmZmZmVhsHmWZmZmZmZlYbB5lmZmZmZmZWGweZZmZmZmZmVhsHmWZmZmZmZlYbB5lmZmZmZmZWGweZZmZmZmZmVhsHmWZmZmZmZlYbB5lmZmZmZmZWGweZZmZmZmZmVhsHmWZmZmZmZlYbB5lmZmZmZmZWGweZZmZmZmZmVhsHmWZmZmZmZlYbB5lmZmZmZmZWGweZZmZmZmZmVpsBvd0AM2vsgenzGHPSdb3dDDMzM7MeN23yAb3dBKuRezLNzMzMzMysNg4yrddJmiApJE3t7baYmZmZmVn3OMjsoyRdnAOvjhwnlvJNapJmoaS/Sfq+pG1qauOBub5xdZRnZmZmZmarPs/J7PuWAXPaSbOowb1XgedL1+sB/5KPYyUdGRE/72bbDgSOyT9P7WZZZmZmZmbWDzjI7Ptuj4hxXcj3dESMKS4kDQL2A84HNgEulXR7RPyzllaamZmZmZnh4bKrjYh4KSJ+AxyRbw2hrRfSzMzMzMysFg4yVzMR8Udger7cufxM0uaSzpf0qKQlkhZLelLSVElflLReTjdOUtAWpJ5SnQNarVfSRpIukDRd0lJJj0v6tqQRrdpbKnOMpE0l/VDSM5JelPSEpDMlDWunjO0kXZTTL5U0V9Jtkj4maWCTPFtI+qyk31fy3ZnvD2mS7zWLGEk6QtItkmbn+we2aquZmZmZ2arOw2VXT9OBjYHlwZmknUjzKl+fby0jzfXcNB/7APcBvwVeAmYCw4HBOd3CZpVJehNwC7B+vrUIGA18Gvh30hDe9rwFuAhYB1hA+geSMcBngX0kjY2IZQ3qPg74Dm3/oLIIGAqMzccHJR0QEYsrWX9GWxAewLz8vrvl41BJb4+IBS3e+1zgeNL82Hn5bGZmZmbWr7knc/W0aT7PLd07kxRg/h+wU0QMioiRwNrA24BzSIESEXF7RIwGrizyRsTo8lEUmnsKf04KMB8H9omIoaRA732kwO2rHWjzxcBfgO0jYljO/2HgRWAX4CPVDJLGA+cBS4CTgVG57iGk+amPAOOAsxvUdx9wIrAlMDh/iyG5zY/mOie3aO/OwHHAKcC6EbEOMBK4vQPvamZmZma2ynJPZt83VtKz7aTZOiLmd6QwSQeQehEhBZSF3fP5hIi4r7iZe/juzkdXHApsS+r9fE9EPJLLfRX4taT3A3/sQDnTc/4Xc/4XgYsk7UgK5g4Gvl8klvQ6Ug8mwFERcU3pnZYBN0p6N/AAabXdSRExo5RmhaA11/lrSQ+RAtQJkj7XoBcUUhB8RkScWso/H1jh99RoeDHAoNFbNv4SZmZmZmZ9mHsy+76BwKh2jnZ/j3lO5IeBS/Ot+aWfi2uADetp9nIH5/PVRYBZFhG30rEg89tFgFlxbT5vV7k/DtgMmFYOMCt1PwHcSfrHlnEdaEOR73HgIWAt4K1Nkr0CfLujZZqZmZmZ9Rfuyez7buniFiabNeshIw17/UBElPfR/F/gQ6StTb5PCt7uaTTPsZN2yudbWqS5Bdi7nXLuanK/WMRoZOX+2HzeqJ2e4OH5/IbqA0nvBI4FdiUF340W+9moSbmPRcSsFvUuFxFqdH/NDbdq9vszMzMzM+uzHGT2X68CRRAZpHmJT5EW97mgwf6YnwO2IQVnX8jHUkl3AFcBF0fEki60o1jsp9V+nNNbPCs0W2BnaT5X/5aLHtlBpN7e9qxVvigt2lNYBszJZ0gLEA0kzVlt5Pkm983MzMzM+jUHmf3X0xExpqOJI2K2pD2BfyOt+LoXaUXXffMxUdI+EfFMD7S1YU9eNxVDiK+JiIM61Zg0V/N40pDX04CfAI9HRJTS3ArsSfO2v9LpFpuZmZmZ9QOek2nLRXJTRJwQETsB6wH/RerB24LGq7C2p+jRazasFOqfBwppixVIiw511iH5fGFEfC0i/lEOMLOO9I6amZmZma12HGRaUxHxQkRcQNr+A9JemWXFvo+teiLvzedWcy6r5dbhjnzeRtKbO5l3k3y+r9FDSZuRtjYxMzMzM7MKB5mGpDUktRo6XczFXLNyv1iRdkSLvFfl80GStmpQ91jaX/SnK35PmoMKcHbe0qQhSdVFg+bl8/ZNspxOzwzxNTMzMzNb5TnINIBhwGOSviRp+yIgy8HnvwHfyOl+V8n3UD7vL6nZkNcrgf9HClD/N8/7LMo+ALiaBntHdldeFfd40qJH7wRukLSbJOX6B0jaWdJk4PFK9hvz+b8kHStpUM6zqaRLgMOAF+pus5mZmZlZf+Ags+8bK+nZdo7v1FDPZsDXgfuBJZJmAy8BN5GGjz4OfKaS5xrSfM2tgWckzZA0TdK0IkEO9g4hzc3cErhV0gJgIfAb0qqxp9bQ/hVExK+AD+f3eDtpT8zFkmaRVqW9m7SKbrUn9mLa9s/8Uc7zAvAkcDRwCuk7mZmZmZlZhYPMvm8gaZGZVsfwprk7Zj7wXuAc4M+kgPD1wCLS/pRfAt5aXVk27wO5L6k38nnSdiWb5aOc7v8BbwUuBGbkd3qWtJDQ20iBao+IiB+TtmY5h9Tz+jLpe80GbgYmAmMqeV4C3gEUvZyv5nw3Av8eEaf1VHvNzMzMzFZ1WnHRTDPrC3bZZZe4++67e7sZZmZmZtbPSbonInapqzz3ZJqZmZmZmVltHGSamZmZmZlZbRxkmpmZmZmZWW0cZJqZmZmZmVltHGSamZmZmZlZbRxkmpmZmZmZWW0cZJqZmZmZmVltHGSamZmZmZlZbRxkmpmZmZmZWW0cZJqZmZmZmVltHGSamZmZmZlZbRxkmpmZmZmZWW0cZJqZmZmZmVltHGSamZmZmZlZbRxkmpmZmZmZWW0cZJqZmZmZmVltHGSamZmZmZlZbRxkmpmZmZmZWW0cZJqZmZmZmVltHGSamZmZmZlZbRxkmpmZmZmZWW0G9HYDzKyxB6bPY8xJ1/V2M8zMzGw1MG3yAb3dBOtH3JNpZmZmZmZmtXGQuQqRNFrShZKelrRMUkia2tvt6qskTcvfaFyT54dJukPSgpyuaVozMzMzM+sYB5ktSLq4FHy0d5xYyjep8myndup5SyX9pAZpBgB/AD4MbAIsAGYCc2p96V4maUT+fpN6uJ7DgcuB3YE1Sd9yJvBST9ZrZmZmZtbfeU5mxyyj/WBuUYtnRwP3tnh+TAfa8C7gTbkdu0fE3zuQZ1U0Ajgl/zypB+v5dD6fDXw+Il7uwbrMzMzMzFYbDjI75vaIGNeFfM8AGwGHSZrYKJCR9DrgMCBy+jc0KevN+XxzPw4wV6bie17kANPMzMzMrD4eLtuzpgNTgQ1IPZGNvAsYDfwReKpFWUPyeWFdjVvN+XuamZmZmfUAB5k979J8PrrJ86Mr6V6jmBdK29DRYyrzN8eU0+X5jGtK+pKk+0uL2ozI6YZKOkTSFEkPSporaYmkxyRdIGmr9l5I0m6SLs0L6yyVNEvSvZLOkLRNJe0akiZIulnS7Lxg0fOSHpJ0kaT9S2mnAk+UrqvzXidRIekISXdKWihpjqQ/SGq4BrekMUVZpdtPlMq/uJR2C0mflfR7SU/k95yb6/qspCEr1gD5XZcvyJTbd0t+95B0YHvf18zMzMxsVebhsj3vF8D3gfdJGh4R84oHkoYB7wOWAD8Hjm2Qfx5pQZqhwNrA0nyv8Eol/WBSr+iupLmkiyvPJwDnla4XkP6x4Y35OFzSgRFxU7UhkgRMBj5fuj0feD2wYz42zHUULgMOr7zPMGA9YNt8/DY/mwPMys/I7132ml5HSd8FPpkvX83vOw7YV9IJ1faTvlVR5qh8nkXbNyx/158BO+efIz8bDuyWj0MlvT0iFjSop2jfucDxuW3z8tnMzMzMrF9zT2YPi4iFwDWk4O+QyuMPkIZt/jIi5jfJf0JEjAbOzLeujIjRpePpSpZPAlsDhwJDI2IEMIa2hYlmk4LMscCIiBiW2/YmYAopkL1c0toNmjORtgDzfGBMRAzP7zAG+BiwfL6opL1JAearpIV2huX2DCbNVZ0A/Kn0rgcBbytdj64cZ5bKPoK2APNMYN2IGEkKci/N99avfMuni7JKt99WKr8cmN4HnAhsCQzOZQ8h/aPAo8AupIC7mZ2B40iLGK0bEesAI4HbW+QxMzMzM1vluSezY8ZKeradNFs3CxRJQc8RpKGxF5butxwq20VDgXdFxA3FjYh4svTzFcAV5QwREcDDko4i9fC9AzgYuKRII2ld2obsnhERJ5fyvwo8Cfyg0pbd8/mGiDinUt+McvmdkXtUi7ZcEhGfK5U9U9IEUhD7jq6Un8v5SIN7LwK/lvQQ8AgwQdLnIqLaWwzp93BGRJxayj+f1PNbfZ+o3gMYNHrLrjbfzMzMzKzXuCezYwaSgq9WR6tveRPwT2BPSZtDmh8I7Ak8C9zQNGfn3V8OMDsjB3/X5cs9Ko8PAdYCXgBO62CRRUC1gaQ6/9beSuphBDij+jC/x+k11lct/3HgIdL3eGuTZK8A3+6pNpiZmZmZ9VUOMjvmlohQO8fcZplzT98UQMBR+fbR+fryiKjOq+yOO9pLIGkTSd+UdE9ezOaV0oI4Z+dkG1WyFb2SN0fEkg625SbgJWAnYKqkIyVVy+2KnfL5uYh4pEma24FubU0i6Z2SrpD0D0mLy4sQAW/JyZq9z2MRMasj9TT7m+pO283MzMzMeouDzJWnGBJ7VB7ueVTlfl2eb/VQ0j7A30hzK3ciLWazgLQgzkzaeh+rczKLhXJabbPyGhHxGPBx0sJGe5EWAZqeV2s9X9KOHS2rophrOb1F3S+SFvXpkrxozw2kua1bkIaWz6HtOy3LSRvNXYV2fg9mZmZmZv2Vg8yVJCIeJC0msyXwmXx+ICL+WnNVTXtFJQ0EfkKaL3gTsDcwJCJGlBbE+UyRvJq9K42JiIuAzUmL6PyStPDQGNIiQfdIOrl57m7rUpslvZu0KuwrpLmfWwJrRsS6pe/0f+3UUWfvtJmZmZnZKsNB5sp1WT4X8wjr7sVsz78Cm5B65MZHxK0RsbSSZtSK2YA0dxRgs85WGhEzI+I7EXEgqRdyV9KKuwJOk7RDJ4ssegmbDr2VNAhYt7NtzYpVgC+MiK9FxD/yPM+yZt/JzMzMzGy15iBz5ZpCmic4kNTTNWUl179JPj/aZEVUaL4i6535PE7SkK42IJK7SIHcM6S/wT1LSZbvJZmHFTdybz6PkrR1kzRj6frqycV3uq/RQ0mb0bbwkJmZmZmZlTjIXIki4jngs8BZwMSImLGSmzAvn7eSNLj6UNJ+wL5N8l5Fmls5EvhqRyrLvYkN5cWOinmNa5Yelbf4GNEk+1+Ax/LPX2hQr4CTOtLGJorvtH2T56fTxaG4ZmZmZmb9nYPMlSwizo2IieV9I1ei24DFpGGkl0raEEDSEEnHAr8gzZlcQUTMBr6WL0+S9F1Jm+b8a0jaVNJnJJUD0NMl/VzSgZLWKW5KGpUX1tkcCODGUj1zSdu9AHyoSVuCtn0yj80r5Y4oygYuAt6e37Urivb8l6Rji2A5v+MlwGGkrVzMzMzMzKzCQWbHjJX0bDvHd3q7ke3JAdwX8+UhwD8lzSX1Hv6I1Dv4tSbZAb4FFMHxJ4Enc/4lwJOkHtotSukHAO8nzb+cLWmepPmk+Z3H5zRfzosilV2Yz2dJWihpWj5OLL3LFOB7+fLzwCxJc4AZwARgIl1f4fVi0vDgAaTvsljSC/kdjwZOAe7vYtlmZmZmZv2ag8yOGUha6KXVMbzXWtcJEXEucBBtvZoDgIdJgdNY0nYmzfJGRHyatCrtlaQtRIaQhpfeSxpG+o1SlrOBT5FWlX2UNMR0TeDpnH/viDi9QVWnkobB3p/zbJaP1wyfjYjjgCNJK72+mNPeArw3v2eXRMRLpLmpk4HHSfNEXyb1cP57RJzW1bLNzMzMzPo7rbhoppn1BWtuuFVseExvjKo2MzOz1c20yQf0dhOsF0m6JyJ2qau8rq6+aWY9bPuNh3O3/4NvZmZmZqsYD5c1MzMzMzOz2jjINDMzMzMzs9o4yDQzMzMzM7PaOMg0MzMzMzOz2jjINDMzMzMzs9o4yDQzMzMzM7PaOMg0MzMzMzOz2jjINDMzMzMzs9o4yDQzMzMzM7PaOMg0MzMzMzOz2jjINDMzMzMzs9o4yDQzMzMzM7PaOMg0MzMzMzOz2jjINDMzMzMzs9o4yDQzMzMzM7PaOMg0MzMzMzOz2jjINDMzMzMzs9o4yDQzMzMzM7PaOMg0MzMzMzOz2jjINDMzMzMzs9o4yDQzMzMzM7PaDOjtBphZYw9Mn8eYk67r7WaYmZnZSjZt8gG93QSzbnFPppmZmZmZmdXGQWYPkTRa0oWSnpa0TFJImtrb7eqrJE3L32hcb7fFzMzMzMy6rt8EmZIuzkFKR44TS/kmVZ7t1E49b6mkn9QgzQDgD8CHgU2ABcBMYE6tL93LJI3I329Sb7fFzMzMzMz6hv44J3MZ7Qdzi1o8Oxq4t8XzYzrQhncBb8rt2D0i/t6BPKuiEcAp+edJvdgOMzMzMzPrI/pjkHl7RIzrQr5ngI2AwyRNjIiXqwkkvQ44DIic/g1NynpzPt/cjwNMMzMzMzOzFfSb4bI1mA5MBTYg9UQ28i5gNPBH4KkWZQ3J54V1Nc7MzMzMzGxV4CDztS7N56ObPD+6ku41inmhtA0dPaYyf3NMOV2ez7impC9Jul/Sgnx/RE43VNIhkqZIelDSXElLJD0m6QJJW7X3QpJ2k3RpXlhnqaRZku6VdIakbSpp15A0QdLNkmbnBYuel/SQpIsk7V9KOxV4onRdnfc6iQpJR0i6U9JCSXMk/UFSyzW6S3NmL87Xx0j6v/yt5ue2vrOdMgZJOk7SrbneFyU9md/pTS3yHCDph5L+mr/b0pxviqSdW9S3fBEjSRtL+r6kx3O9f2nVVjMzMzOzVV1/HC7bHb8Avg+8T9LwiJhXPJA0DHgfsAT4OXBsg/zzSAv8DAXWBpbme4VXKukHk3pFdyXNJV1ceT4BOK90vYD0DwNvzMfhkg6MiJuqDZEkYDLw+dLt+cDrgR3zsWGuo3AZcHjlfYYB6wHb5uO3+dkcYFZ+Rn7vstf04kr6LvDJfPlqft9xwL6STqi2vxFJF5IWU3qFNK92WC5jb0kfiIhfNMizIXA98JZS3YuATYEPkYZHHxERV1ey7gf8unS9mDRMelPSN/qApGMj4rIWTd4auIr0jRbndzYzMzMz69fck1kSEQuBa0jB3yGVxx8gDYP9ZUTMb5L/hIgYDZyZb10ZEaNLx9OVLJ8kBSKHAkMjYgQwhraFiWaTgsyxwIiIGJbb9iZgCimQvVzS2g2aM5G2APN8YExEDM/vMAb4GLB8vqikvUnB06vAp4FhuT2DSXNVJwB/Kr3rQcDbStejK8eZpbKPoC3APBNYNyJGkoLcS/O99Ru8Q9l44Ajg47ltw4EtSEH6GsB5eVXf5SQNBH5JCjD/COwNDMnfcTRwVn6/yyS9sVLfQuDHwL8B60XE2hExBNgMOIf0DzQXSNq0RZvPAmYAe+T8Q4GD23lPMzMzM7NVWn/syRwr6dl20mzdLFAkBT1HkIbGXli633KobBcNBd4VETcUNyLiydLPVwBXlDNERAAPSzoKGAW8gxS4XFKkkbQubUN2z4iIk0v5XwWeBH5Qacvu+XxDRJxTqW9GufzOyD2qRVsuiYjPlcqeKWkCKYh9RztFjQCOjIgppfxPSDoUmEYKWMeSgsnCMaRA+C5gv4h4sVw3MFHSWqTA9dPAcaXnU0lzdF8jIp4CPp17to8l9YZ+rUmbXwbemesq8j9WTZSHWK9g0OgtmxRrZmZmZtZ39ceezIGk4KvV0eq9bwL+CewpaXOAPJdyT+BZ4IamOTvv/nKA2Rk5+LsuX+5ReXwIsBbwAnBaB4ssgu4NJNX5d/FWoIiWzqg+zO9xegfKeQq4vEH+GcCf8+V2lcfFdjPfKweYFUWZLed1NlAMpa1++7JLywGmmZmZmdnqoD8GmbdEhNo55jbLnHv6pgACjsq3j87Xl0dEdV5ld9zRXgJJm0j6pqR78sI/rxSL6wBn52QbVbIVvZI3R8SSDrblJuAlYCdgqqQjJVXL7Yqd8vm5iHikSZrbSb1+rdydA9JGpufzyOJGHjq7a778tqRnGx2k4dHQYDsaSetI+oqk2/NCSC+Xvn2Rr9U3avf3C9Ds77Qjec3MzMzM+pr+OFy2DpcCnwOOknQabcFmnUNlAZ5v9VDSPsBvSMNqC/NICwpBml85jDQ3s2xUPrfaZuU1IuIxSR8HvgvslQ8kTSMt9nNBRNzX0fJKirmW05sliIgXJc0izZNsZkGLZ8X3GFi6tw4wqPRze4aULyRtC/yBtm9ZtGEJaQGgQaSgttF82ELL36+ZmZmZWX/UH3syuy0iHgTuIw3z/Ew+PxARf625qqa9onnRmp+QAsybaFu0ZkSxuE5uG6Re1tdk70pjIuIiYHPgRNKCObNpWyToHkknN8/dbXX33JX/tt/Sgd7tav0/JgWY9wL7A6+PiGERMSp/+2JhqFbtrrPX28zMzMxsleAgs7lia4piHmHdvZjt+VdgE9JWIeMj4taIWFpJM2rFbECaOwppJdROiYiZEfGdiDiQ1Au5K2loqIDTJO3QySKL3rymw0olDQLW7Wxb2zGbtiBv285kzCvG7przvy8ifpdXHi5r9u3NzMzMzFZrDjKbm0KaJziQFGxMaZ28dpvk86MRUd0/s9BsRdY783mcpCFN0rQrkrtIvXbPkP5e9iwlebX4Ia8i28i9+TxK0tZN0oyl5qHbEbEMuDtfHtTJ7MW3fz4img3zbW81XDMzMzOz1ZKDzCYi4jngs6S9DifmVUxXpnn5vJWkwdWHkvYD9m2S9yrS3MGRwFc7UlnuTWwoL3a0LF+uWXpU3gZmRJPsfwGKbTu+0KBeASd1pI1dcHE+v19Ss29VtGNk6bL49qMkbdAg7fakPUXNzMzMzKzCQWYLEXFu/P/27jxcjqrO//j7kw1CQhL2IFtEEBBlDcqAAqKCigujgogsGcRlRlBGUXFBFkFR8QcCigKOTDA6CLixCTIjIpsSEBVkx7BvCWRfCMn398c5xS2a3m7fuul7bz6v56mnuqrOqTp1qrvv/fY5dSri6PJzI1egG4CFpG6kUyWtDyBptKTDgEtIXUJfJiJm0fPsxmMknZW7gCJpmKSNJX1GUjkA/bqkiyXtK+nFgXIkrSfpDNK9mgH8rnSc2aTHvUB6XmS9sgQ9z8k8LI+UO6HYN/BfwJ75XKv2I1Kr7jDgMkmfrjm3dSV9SNK1wKdL+e4itdwKuFDSZjn9SEnvI9VBbfdZMzMzMzNjaAaZuzR6XEVp+m63C9lKDuC+mBf3Ax6XNJvUevgjUuvgCQ2yA3wLKILjTwIP5fyLgIdILbSbltKPAN5Puv9ylqQ5kuaS7u88Mqf5Sh4Uqey8PP+OpPmSZuTpqNK5TAO+lxc/D8yU9CzwBDAFOJp+GIk1d5l9LylgX41UHzMlPStpHvAU6TmZu5MC6CLfcuBTpO7AewD35bqYTwrul5AGRzIzMzMzsxpDMcgcSRqUpdk0vmul64WIOIN0P2HRqjkCuBs4jnQfY8PHeuT7Kf+TNCrthaRHiIwmdQW9Dfg6cHIpy2mkwOrXwL2kVrxVgEdy/t0i4ut1DnUiqRvs33KeTfL0ku6zEXEEcBDwJ1KQJuAPwLvyefaL3O15d+DDwBXA06QRe0Wqyx8B7yTVRznfL0ktrL8j1fNIUnB+KrA9qaXTzMzMzMxqqPHz7c2smyZPnhzTp09vndDMzMzMrA8k3RoRk6va31BsyTQzMzMzM7MucZBpZmZmZmZmlXGQaWZmZmZmZpVxkGlmZmZmZmaVcZBpZmZmZmZmlXGQaWZmZmZmZpVxkGlmZmZmZmaVcZBpZmZmZmZmlXGQaWZmZmZmZpVxkGlmZmZmZmaVcZBpZmZmZmZmlXGQaWZmZmZmZpVx96tJNQAAIABJREFUkGlmZmZmZmaVcZBpZmZmZmZmlXGQaWZmZmZmZpVxkGlmZmZmZmaVcZBpZmZmZmZmlXGQaWZmZmZmZpVxkGlmZmZmZmaVcZBpZmZmZmZmlXGQaWZmZmZmZpUZ0e0CmFl9f39sDpOOubzbxTAzMxtyZpyyT7eLYDakuSXTzMzMzMzMKuMg01ZakjaX9D+SnpS0TFJIOr/b5TIzMzMzG8wcZK5gks7PwUw701GlfMfXbNuhxXG2rUl/fL+f3CAiaU3gj8AHgfWA54CngDndLJeZmZmZ2WDnezK7ZynwbIs0C5psOwS4rcn2Q3tdopXLh0jB5b3AHhHxRJfLY2ZmZmY2JDjI7J4bI2KPDvI9CrwC+JCkoyPihdoEkoaTgqjI6TfqS0GHqK3z/FIHmGZmZmZm1XF32cHnMeBaYF1g7wZp9gYmAtcBD6+YYg06o/N8fldLYWZmZmY2xDjIHJym5vkhDbYfUpOuKUlvkDRV0gxJiyXNlHSbpG9I2qIm7bX5Hs8pkiZI+qakuyUtlDS7zr7fJ+m3kp6RtETSo5KmNbunVNK6kr4t6Q5JC3KZHpF0o6QTJW1SJ897JV0h6SlJSyU9K+keST+T9MHa8gNT8qrjyveultKNlbRfLusdkmZLWiTpfknnSNq8SfmL/U2StJWk/87lXyrpV00vhpmZmZnZIOfusoPTJcD3gfdIGh8RLw5WI2kc8B5gEXAxcFijnUgScArw+dLqucDqwPZ5Wp+egKxsHeBWYFNgCfB8zb6HAT+mJ+BdBswDNgAOBA6QdEREnF2TbxPgpnzcIt/cnG9D4F+Ax4EflPKcDHyptJt5pJbKV+fpzcCFeduzpAF+xgOrku57rdeaOQU4s2afw4BX5elASftGxDV18hbelMu5Ws7/sq7NZmZmZmZDjVsyB6GImA/8khQk7VezeX9SgPXriJjbYldH0xNgng1MiojxOf8k4BPAfQ3yfhUYCbwDWC0ixgGTS9s/TwowAzgWWCMi1iAFiheR3ntnSdqtZr/HkQLM+4HdgFERsWYu0+uAk4Ani8SSJgHH5MVvAOtExLiIGE0a2OcDwOVF+oh4X0RMpCfoPDUiJhZTqRyzSEHmLsCEfH6rAlsB04AxwE8ljWlQP5B+CLgFeF3Ovxrw2SbpzczMzMwGPbdkds8ukp5skebVTQLFqcCHSYHceaX1bXWVlbQWcHxe/EZEvNgSGBHLgYeAHzbZxSrAOyPijlK++/O+xwBfzKu/GREnldI8JulDpEDyjaSgsRxo7pznX4mIP5byLQHuyFPZ60kB693lc8h5nia1+l7S5DzqioifAT+rWRfA3ZIOJgWwbyUFsf/dYDdPA++IiEWl/A/UJip30y0bNXGz3hbbzMzMzKzr3JLZPSNJgUqzqdn1uYbUbfSNkl4JL7bqvZHU0nd1i+PvR2pZew74Wgflv7IcYNbYCxhH6kL7rdqNEbGsdMw3SSq3IBZB9fq0p0g/XtJqbebpkxwsFq2juzZJelYRYJqZmZmZrSwcZHbPHyJCLaaXDaRTyK2N0wABB+fVh+Tln+ZArpmixfD3HQZCNzXZVgzq89eIeK5BmuvouUexPAjQFXn+TUnfk/RmSaNp7E+k+yzXB26S9LEi6O4rSRvmgY1uzQP/LCsNEHRaTvaKJrtoVkcvanT9+3wCZmZmZmZd4CBzcCu6xB6cB/E5uGZ9M+vleaePOHmmybZ18vyxRgkiYjHpvsdyeoBvAr8BRgH/AfwfMDePLPs5SRNq9vMc6bxnA9uQuvg+KOmJPKrr7r04pxflfHeR7i3dgTRQ0DzSoEFP0dOC2uyezGZ1ZGZmZmY2JDnIHMRyd9W/AJsBn8nzv0fEX9vI3teWslYtpZDu2+yViFgSEe8ljSL7LeBm0uBBxfK9kratyXMFaaCijwE/J3Ujnkhq2b1W0jm9KYOkkcBPgLGkbsm7AaMjYkJpgKDPFMmb7KqdOjIzMzMzG1IcZA5+F+T5N/K8rWdj0jNC68ueOVmBogWv4b4lrQqsVZP+RRFxc0R8ISL+BVgD+BCp1XUdXjrQUZF+TkScGxEfjIgNgK2Bc/Pmj0rapxfl/xfSKLjPAu+NiD/mltey9V6ezczMzMzMHGQOftNI9zaOJLWcTWsz3815vkeLex47cVueby5pgwZpdqNndOPbGqQBICIWRMT/kFoqAXZs8egQIuIfEfExes6zN91mN8zzeyNiYYM0b+3F/szMzMzMVhoOMge5/JiOzwLfAY6OiCfazHoRsIjUSvjViot1NemexZHA52o3ShpOenYmwB8jovzcy1FN9lsMUCTSPZut0pfz9Kbr7pw83zy3uL6EpL2AN/dif2ZmZmZmKw0HmUNARJwREUdHxOm9yDMLOCEvHiPpLEkbA0gaJmljSZ+R1OsANCIWAF/Pi5+S9GVJY/O+NyA9f/KNwHLgKzXZ75D0dUk7FQGkktcDZ+Y0t5RGrf13SVdJOlDSi489kTRB0peAPfKqq3pxCjcAC0ndeacW+5U0WtJhpOduzmqS38zMzMxspTWidRLrJ7tIerJFmgsj4tP9WIZvkQbIOQr4JPBJSXOA0eSWQuC/O9z3qcBrSIPvnAScIGkuMIHUErkcODIirqvJty7wxTwty+VZndQqCjATOLyUXqTncu4FIGkBsDQfp3BOHhyoLRExW9IXge+Snie6Xy7HGNJn5nbgv4Az2t2nmZmZmdnKwkFm94yk9eAx4/uzABERwH9K+gUpyHwjaWCdOcAjwG+B8zvc9zLgUEm/Id1LuSMwDngC+APwnYi4tU7W9wJ7k+7Z3JhUR8+THidyBXBa7iJc+Ckwn3SP5Dak52WOzce5BfhRRPymg/KfIekRUlfk7UmflbtJ3Yy/DXywt/s0MzMzM1sZKMUZZjbQrLL+5rH+oW33gDYzM7M2zTilN4POmw19km6NiMlV7c8tmWYD1Os2GM90/xE0MzMzs0HGA/+YmZmZmZlZZRxkmpmZmZmZWWUcZJqZmZmZmVllHGSamZmZmZlZZRxkmpmZmZmZWWUcZJqZmZmZmVllHGSamZmZmZlZZRxkmpmZmZmZWWUcZJqZmZmZmVllHGSamZmZmZlZZRxkmpmZmZmZWWUcZJqZmZmZmVllHGSamZmZmZlZZRxkmpmZmZmZWWUcZJqZmZmZmVllHGSamZmZmZlZZRxkmpmZmZmZWWUcZJqZmZmZmVllHGSamZmZmZlZZRxkmpmZmZmZWWUcZJqZmZmZmVllRnS7AGZW398fm8OkYy7vdjHMzMwGrRmn7NPtIpitlNySaWZmZmZmZpVxkGlDlqQpkkLStQ22T5R0nqRHJC1tltbMzMzMzNrjIHMlI+n8HEy1Mx1Vynd8gzTzJd0l6fuStqiojPvm4+1Rxf4aHGME8H/AR4ANgXnAU8Cz/XVMMzMzM7OVge/JXHktpXVAtaDOuuXAM6XltYEt83SYpIMi4uI+lm1f4ND8+to+7quRvYGtSHWwc0Tc10/HMTMzMzNbqTjIXHndGBF7dJDvkYiYVCxIGgXsBZxNahGcKunGiHi8klL2n63z/PcOMM3MzMzMquPustYnEfF8RFwGfDivGk1PK+RANjrP53e1FGZmZmZmQ4yDTKtERFwHPJYXdyxvk/RKSWdLulfSIkkLJT0k6VpJX5S0dk63h6SgJ0g9rvYe0NrjSnqFpHMkPSZpsaQHJf0/SRPqlbO4JxU4Pq86tOYYk3K6UZL2kXSupL9Kmpn3/5CkaZJ2rLf/nHdG3tcekjbI96s+KGmJpNvbrlQzMzMzs0HI3WWtSo8BGwDjihWSdiDdV7l6XrWUdK/nxnnaHfgL8FvgedLgO+OBVXO6hi2NkrYC/gCsk1ctACYC/wm8m9SFt9acfIyxwBhgcV5XWJbnewGXltYvBCKX+UBgf0mHRcQFjcoHvBq4iHTf6sJ87mZmZmZmQ5pbMq1KG+f57NK6U0kB5p+AHSJiVESsQQrwdgJOJwd5EXFjREwELizyRsTE8lTsVNJI4GJSgPkgsHtEjCUFj+8hBapfrS1gRHw67+fUvOrCmmM8ktfPB34MvAVYOyLGRMRoYJNc5hHAOZI2rj1GyXeAJ4Bdc/6xwAeapDczMzMzG/Tckrny2kXSky3SvDoi5razM0n7kFoRIQWUhZ3z/NMR8ZdiZUQsBKbnqRMHAK8htX6+MyLuyftdDlwq6f3AdR3um4i4ljoj20bEw8B/ShoHHAb8G3BCg928ALwtIp4q5b+/NlG9bsAAoyZu1utym5mZmZl1m1syV14jgfVaTC3fH/meyI8AU/OquaXXxTLA+tUU+0VFi+AvigCzLCL+SB+CzDYUXWl3bZJmajnANDMzMzNbGTjIXHn9ISLUYppdJ98mNQPxPAacB6xJ6va6X0SUn6N5RZ5PlXSKpJ1zV9e+2qE4jyZpmm1rSdKako6VdKOkWZJeKJ33L3OyVzTZxU3tHKdR/fel7GZmZmZm3eLustZby4EiiAxgEfAwqWvpOXWej/k5YAtgF+ALeVos6SbSoDjnR8SiDspRDPbT7HmcjzXZ1pSk1wD/R2rRLcwjnW8Ao4Di3tJGnmmyzczMzMxsSHKQab31SERMajdxRMyS9EbSADrvBt4EbAu8OU9HS9o9Ih7th7L2pTXwx6QA8zbgS8ANEfHiSLeS3gJc0+IYy5psMzMzMzMbktxd1vpdJNfkkV13ID3S4+PAs8CmwGkd7LZoJWzWXbWj+0DziLGvJwWJ74mIq8oBZrbey3OamZmZmZmDTFvhIuK5iDiH1EII6VmZZcvzvFkr4W15vluTNLX7bdeGef5MRDTqcvvWDvdtZmZmZjakOci0fiNpmKRmXbKLezFXqVlfjEg7oUnei/L8fZI2r3PsXWgegDYzJ8/Xk7RunX2/Djiww32bmZmZmQ1pDjKtP40D7pf0ZUmvkzQcXgw+3wKcnNNdVZPvzjx/u6RGXV4vBP5BClCvyPd9FvveB/gFPcFqb90FPEpqSb1Q0mZ53yMlvQ/4HVDbfdbMzMzMzHCQuTLbRdKTLabvVnCcTYCTgL8BiyTNAp4nDZqzIfAg8JmaPL8k3a/5auBRSU9ImiFpRpEgIpYC+5HuzdwM+KOkeaTg7zLSSLAndlLgiFgOfIrUbXcP4D5Jc/O+LwGWAEd1sm8zMzMzs6HOQebKayRp8Jpm0/g+HmMu8C7gdODPpIBwdWABcAvwZWC72pFlI2ImaeTZX+Q865CC1U1q0v0D2I70nM4n8jk9SRpIaCdSoNqRiPglsCep1XJe3vdDwKnA9qSWTjMzMzMzq6GI6HYZzKyOyZMnx/Tp07tdDDMzMzMb4iTdGhGTq9qfWzLNzMzMzMysMg4yzczMzMzMrDIOMs3MzMzMzKwyDjLNzMzMzMysMg4yzczMzMzMrDIOMs3MzMzMzKwyDjLNzMzMzMysMg4yzczMzMzMrDIOMs3MzMzMzKwyDjLNzMzMzMysMg4yzczMzMzMrDIOMs3MzMzMzKwyDjLNzMzMzMysMg4yzczMzMzMrDIOMs3MzMzMzKwyDjLNzMzMzMysMg4yzczMzMzMrDIOMs3MzMzMzKwyDjLNzMzMzMysMg4yzczMzMzMrDIOMs3MzMzMzKwyI7pdADOr7++PzWHSMZd3uxhmZmb9asYp+3S7CGZWMbdkmpmZmZmZWWUcZJr1I0nHSwpJ53e7LGZmZmZmK4KDzC6SdH4OQELSUknrtki/byl9SJpSs31GzfZm03ZNjjNe0lGSrpD0sKSFkhZJelTSbyV9SdJmDfJOqjnOu5scZ7NSukktzv1tkn4s6T5J8yTNl3R/rsO9muXthKQpOUBsWE9mZmZmZvZyvidz4BgBHAic3iTNIW3uawEwv0WapfVWSjoc+DYwobR6IbAE2CBPewMnSboIODginm9ynK9Juiwios2y15ZnTWAa8Paa8gTwqjwdKukq4MCIeLaT49QxBdgdmAHcXtE+zczMzMyGPLdkDgwP53nDIDIHW/uQgsdWgdSpETGxxXRnnWMcD5xLCjBvAfYH1oqIMRGxBrAKsCvwTWB23r5ai7Jsm9P1mqQJwPWkAHMJcBLwylyescAmwAnAYlLge33OY2ZmZmZmXeIgc2C4CXgA2F7S1g3SHACMAi4BFlVdAEnvAo7Li2cDO0fEReWWwYh4PiJujIhjSAHeD0ktio1cmecnSBreQbHOBbYine/eEXFsRMwolefhiDieFGAuymnP6eA4ZmZmZmZWEQeZA8cFed6oNbNYP7XqA0sScEpe/DNwZEQsb5YnIuZFxCciYk6TZN8gtbxuQftdfYsyTQY+kBe/GhF/aFKW6+gJkPeTtGOd/W0raWq+b3VJvq/zwXyP6VGSVsvppkgKUldZgB/X3GM6o86+t5D0M0lP53tX75Z0nKRVenPOZmZmZmZDgYPMgaMIMj8s6SXXRdKrgTcAjwDX9sOxdwWKFtRTImJZRft9Bjgjv/6qpFG9yPvxPJ8NfK+N9GcBRcD78fIGSe8kdf89mNQCG8By4JWkVtDTgI1z8kXAU/Tcszo3LxfTMzX73g24jdTSvA7wfN7v8cDvSa3PZmZmZmYrDQeZA0REPAjcQBpYZ8+azUUr4LRWLYwd2iPPlwFXVbzvb5MCxUnA4b3It0eeXx0RLbsH5zRX1+QtnAmMBC4DtoiIVSNiPDAe2I3ULXdx3s+FETERuDHn/XTNvaw7FTuVtAZwEem+1NuA7fJ+xwKHku5H/Y9enLOZmZmZ2aDnIHNgKbrCvti1NHdlPahmeytHS3qyyXRNTfqt8vz+iFjYefFfLiJmA9/Ji1+RNLpVHkkjgeIRKX/txeH+luebSxqR97UusGlef3hE3Fsq29yI+GNEfKx8r2cvHAGsC8wi3TP617zfpRExldSiOr7VTho9ZqaD8piZmZmZdZ2DzIHl56QWtfdJGpPX7U7q4jk9Iu5qcz9jgPWaTGvXpF8zz59rtENJP2gQsB7dRnlOJ3UzXR/4ZBvp1yy9ntVG+sLMOvuYR+oaSz5+lYp7Rs+NiJl1tk8DHqr4mGZmZmZmA5qDzAEkt/pdSgoS359XdzLgzwkRoSbTdh0UbwL1A9axrTJGxHzSY08AviBp9RZZ1EH56ubL3WiLQYOukvQVSdt1ONptz4HS/aXFfax1ByXKzwa9rtW+Gl2nvpTPzMzMzKxbHGQOPEUweXDuWvp+0iA0P+vHYxaPKVmjUYKIOKAmALqhl8f4HvA4qRX1qBZpy62Xa/XiGOW05WeJHg7cRera+jXgL8BsSZdLOqjoWttLawJFoPp4k3SPdbBvMzMzM7NBy0HmwPNb4GnS4D9HAOOAKxt0x6xK0Q13s+JRHlWLiMXAyXnxs3nQnEZpl5KeGwpp8Jx2bZPn90XEC6X9PZi3/SvpOZp3kVpg30ka1fdPklq2yHbILZJmZmZmtlJxkDnA5ODof0jXpgjKLmicoxLX5vlw0iM9+su5wAzSYDifb5H293m+V5uDBY0G9sqLL+u+GhEvRMSvIuLjEfEa0v2ZnyPdA7sDPc/ZbNezpNF4AV7RJF3V94GamZmZmQ1oDjIHpqLL7EjSYDyX9vPxbgDuzK+P6ev9io3kFsoT8+KnSPd0NnJOnk+gvcGCjqBnJNcftlGWJyPiVNKgRJAGWCorBguq2xIZEc/TU2e71UuTRwauu83MzMzMbKhykDkARcStwPGkR38cFRFL+vl4ARyTF18PnCmpv94bU4F7SM+W/GKTMt0C/CIvniipYbAm6U3ACXnxkoiYXto2Mgd7jRTP4FylZv3cPJ/QJO9Fef5RSWvW2X4A6fmgZmZmZmYrDQeZA1REnBARR+fnLa6I411GTyvjvwM3S9q/HDxJGi5pa0knAp2MUEtELCMF0AD7tEh+OCkgHQ1cLelESRuXyrORpOOAq3Oae4CP1uxja+AOSUdJenURcObg8/3AZ3K6q2ryFa2U75PU6FmX3yPdP7s2aeTabUr7PojUPXhOi3M0MzMzMxtSHGQOTUc3eKZlefpgbaaIOI4UpM0BdgIuBGZJmi/pGVKr3x3AsaSWyGn0dGvtjQuBv7VKFBHPAbsCvyO1NB4LPJTLMw94mBSwrgpcA+ya89R6DXAaKQhdJGkW6V7Mi0ldbKcDJ9XkuQB4HngjMFPSY5JmSLq+pnz7k+plMvBXSbNJz+a8IJ/j2S1rw8zMzMxsCHGQOTSNof4zLctT3cF0IuI8UhfPz5BGun2UNCDQWOAZUqvhscCmEXFQRDR7fEdduXvusW2mnRURewFvJ3W1fZB0n+Sw/PoC4B0R8baImFVnF3cBHwB+QH50CWnE3rnA9cCRpOB0bjlTRNwNvI1UB3OAicAmwIY16f4AbE8KnJ8hBcMzSMHvnkC/dnU2MzMzMxtolP7fN7OBZpX1N4/1Dz29dUIzM7NBbMYpre6eMbP+JunWiJhc1f46eQi9ma0Ar9tgPNP9h9fMzMzMBhl3lzUzMzMzM7PKOMg0MzMzMzOzyjjINDMzMzMzs8o4yDQzMzMzM7PKOMg0MzMzMzOzyjjINDMzMzMzs8o4yDQzMzMzM7PKOMg0MzMzMzOzyjjINDMzMzMzs8o4yDQzMzMzM7PKOMg0MzMzMzOzyjjINDMzMzMzs8o4yDQzMzMzM7PKOMg0MzMzMzOzyjjINDMzMzMzs8o4yDQzMzMzM7PKOMg0MzMzMzOzyjjINDMzMzMzs8o4yDQzMzMzM7PKOMg0MzMzMzOzyjjINDMzMzMzs8qM6HYBzKy+vz82h0nHXN7tYpiZ2RAw45R9ul0EM1uJuCXTzMzMzMzMKuMg08zMzMzMzCrjINNeQtL5kiJPSyWt2yL9vqX0IWlKzfYZNdubTds1Oc54SUdJukLSw5IWSlok6VFJv5X0JUmbNcg7qeY4725ynM1K6Sa1OPe3SfqxpPskzZM0X9L9uQ73apbXzMzMzGyo8j2Z1swI4EDg9CZpDmlzXwuA+S3SLK23UtLhwLeBCaXVC4ElwAZ52hs4SdJFwMER8XyT43xN0mUREW2WvbY8awLTgLfXlCeAV+XpUElXAQdGxLOdHMfMzMzMbDByS6Y18nCeNwwic7C1Dyl4bBVInRoRE1tMd9Y5xvHAuaQA8xZgf2CtiBgTEWsAqwC7At8EZuftq7Uoy7Y5Xa9JmgBcTwowlwAnAa/M5RkLbAKcACwmBb7X5zxmZmZmZisFB5nWyE3AA8D2krZukOYAYBRwCbCo6gJIehdwXF48G9g5Ii4qtwxGxPMRcWNEHEMK8H5IalFs5Mo8P0HS8A6KdS6wFel8946IYyNiRqk8D0fE8aQAc1FOe04HxzEzMzMzG5QcZFozF+R5o9bMYv3Uqg8sScApefHPwJERsbxZnoiYFxGfiIg5TZJ9g9TyugXtd/UtyjQZ+EBe/GpE/KFJWa6jJ0DeT9KOvTmWmZmZmdlg5SDTmimCzA9Lesl7RdKrgTcAjwDX9sOxdwWKFtRTImJZRft9Bjgjv/6qpFG9yPvxPJ8NfK+N9GcBRcD78WYJzczMzMyGCgeZ1lBEPAjcQBpYZ8+azUUr4LRWLYwd2iPPlwFXVbzvb5MCxUnA4b3It0eeXx0RLbsH5zRX1+Q1MzMzMxvSHGRaK0VX2Be7luaurAfVbG/laElPNpmuqUm/VZ7fHxELOy/+y0XEbOA7efErkka3yiNpJFA8IuWvvTjc3/J8c0l1R3Nu9EiXXhzDzMzMzGzAcJBprfycNFLq+ySNyet2Jw2yMz0i7mpzP2OA9ZpMa9ekXzPPn2u0Q0k/aBCwHt1GeU4ndZ1dH/hkG+nXLL2e1Ub6wswG+zAzMzMzG5IcZFpTudXvUlKQ+P68upMBf06ICDWZtuugeBOoH7CObZUxIuaTHnsC8AVJq7fIog7K11a+RnXS4fHMzMzMzLrKQaa1owgmD85dS98PLAV+1o/HLB5TskajBBFxQE1QdkMvj/E94HFSK+pRLdKWWy/X6sUxymlbPUvUzMzMzGzQc5Bp7fgt8DRp8J8jgHHAlRExs2muvim64W4mabX+OEBELAZOzoufldQsoF1Kem4owLa9OMw2eX5fRLzQ+1KamZmZmQ0uDjKtpRwc/Q/p/VIEZRc0zlGJa/N8OLB3Px7nXGAGMB74fIu0v8/zvdocLGg0sFdebPhMTTMzMzOzocRBprWr6DI7kjQYz6X9fLwbgDvz62MkDe+Pg+QWyhPz4qdI93Q2ck6eT6C9wYKOIAWvAD/sqIBmZmZmZoOMg0xrS0TcChxPevTHURGxpJ+PF8AxefH1wJmS+uv9OhW4B1gN+GKTMt0C/CIvnihpt0ZpJb0JOCEvXhIR0ysqq5mZmZnZgOYg09oWESdExNER0ZtRZftyvMvoaWX8d+BmSftLevFRIJKGS9pa0olAJyPUEhHLSAE0wD4tkh9OCkhHA1dLOlHSxqXybCTpOODqnOYe4KOdlMvMzMzMbDCq+3B4s35wtKRPtEjz6Yi4sLwiIo6T9AhwKrATcCGApAXAIlJ31JFFcmAaPd1ae+NCUivmNs0SRcRzknYljaz7NuBY4NhcnuClj0+5BjggIho+69PMzMzMbKhxkGkrypg8NVN3MJ2IOE/SxcC/kQbSeS3psSNjgWeAO4A/Aj+JiBmdFC4iQtKxwK/bSDuLNPjP3sCBwBuBiaRnYj5Iup/0pxHx207KYmZmZmY2mCnd+mZmA83kyZNj+nTfymlmZmZm/UvSrRExuar9+Z5MMzMzMzMzq4yDTDMzMzMzM6uMg0wzMzMzMzOrjINMMzMzMzMzq4yDTDMzMzMzM6uMg0wzMzMzMzOrjINMMzMzMzMzq4yDTDMzMzMzM6uMg0wzMzMzMzOrjINMMzMzMzMzq8yIbhfAzF5OUuT5rd0uy0pkxzx3na84rvMVz3XeHa73Fc91vuK5zle8Kut8kwr28SJFRJX7M7MKFEFmRKjbZVlZuM5XPNdCqkjDAAAcYUlEQVT5iuc67w7X+4rnOl/xXOcr3kCuc3eXNTMzMzMzs8o4yDQzMzMzM7PKOMg0MzMzMzOzyjjINDMzMzMzs8p44B8zMzMzMzOrjFsyzczMzMzMrDIOMs3MzMzMzKwyDjLNzMzMzMysMg4yzczMzMzMrDIOMs3MzMzMzKwyDjLNBhBJEyV9V9IDkhZLekrSpZLe0u2ydYOk1SW9R9LXJF0paaakyNOWbeSXpI9JuknSbEnzJP1F0uckjWoj/2RJ/yPp8Xw9HpZ0nqTN2sg7TtJJku6StFDSLEn/K+kD7Z5/N0jaWNJR+X33sKQlud7+KukUSeu3yD9K0ucl3S5pfq73m/J1UBvHf2s+9tO5zh/In4n12sg7aD8/+b32NUm/lXS/pDm57h+T9GtJ+7bI73rvI0ljJT1S+o6Z0iSt67sDkqaU6rfRNL9Jfn+n94GkTSWdls9hfv6euUvSf0navUEev9d7qY33eHkauvUeEZ48eRoAE7ANMBOIPM0BluXXy4Fjul3GLtTJvqX6qJ22bJF3JHB5Kf0SYGFp+c/A2Cb5DwWWlup/dinvfGDPJnk3BB4spZ9X2lcAZ3e7bhuUe6N8ruV6ngO8UFp+Fnhzg/zjgOmltAtyvRfLlwIjmhz/y6W0y/Kxi+Wngdc2yTuoPz/AD2rqfR6wqGbdxcBI13u/XYPTa+p7it/nldfxlFzW54EnG0wPNMjr7/S+1f1hNfU1v2b5PL/XK6vrRu/tYirqfQmw1lCt965fCE+ePAXAaGBG/hDfBmyd148DTi192PfqdllXcL3sCzxF+sfieOCjpbpoFWR+M6dbRPrnYjgg4F3ArLxtWoO825D+CQrgJ8A6ef0mwNV5/XPF+pq8Am7Oaf4J7JLXrwp8rvRl/dFu12+dsk/Kf0QuAz4ArJHXjwLeQc8/WXOAiXXyX5i3z8r1rFzvh9ITMJ3c4NjvLF3bU4HV8/qtgb/k9Q8Aq9TJO+g/P7mOjgJ2oPSPMinw/1bpHI51vfdL/e9A+jHl5lK5pzRI6/ruvJ6n5DJe20Fef6d3Xu8H0PMD4pnApqVt6wEHAYf5vb7CrsftufyXNNg+JOq96xXtyZOngPTPZZB+Hd2gzvZf5u23drusK7hehtcsTyp9yTUMMoGJwOKc7lN1tr+Xnl/ltqmz/Vd5+y11yjAWeDhv/06dvEXr6zJguzrbT8vbnwBGdbuOa8o2Hti2yfYtS3/gjqvZtn3p2rynTt5P520LgXXrbC/+6P6yzrYN82cjgCPrbB/ynx/gguKfA9d75XU7LH/WX6ipzyl10rq++1bXU+ggyMTf6X2p83VJPVAC+GIv8vm93j/XY7sW9Tpk6r3rle3Jk6cg/+EL4IcNtu9S+tJp2oI3lCfaDzI/mdPMBlZtkOaenOaUmvUT6PnF+0MN8n4pb38cUM22i/K2qxrk3YCeX5Tf3u067eAa/D6X/Tc167+d19/dIN9oerqnfaJm29al6/ovDfKfk7ffXGfbkP/8AJ/K5V/keq+8bot/2s7My82CTNd33+p6Cp0Fmf5O77zOjyves8CwXuTze71/rkfxo8TT1OnyOpTq3QP/mHWZpNWBHfPiVQ2S3UzqogiwZ78XavB7c55fFxGLG6S5Os9r6/ONpHt/ymlqFddpfWCrmm171KR5iYh4DLizwbEHg1l5PrxmfVHndessIhYBf8yLtedd5J0D/KnBcYv6fL2kscXKlejzs0ue/7Nmveu9DyRtAHyN1C3/K21kcX13h7/TO/fhPJ8aEct7kc/v9YpJGgEcmBenRcQLdZINmXp3kGnWfVuR+ttDzx+ql8h/GO7Ji69ZEYUa5Io6qluf2T/yfKuakdqKvE9GxCzq+0fp9YvXQ9K6wNq9OPagupb5D+SuefGO0nqRutJCZ+ddLN/V5J+gIm/5WDCEPz9Ko51uI+l7wAfz6rNK213vfXcmsDpwdETMaZbQ9V2prSXdKWlRHiH2jjzq6SsbpPd3egckrQVsnhevl7SnpKskPZdHyP2H0qjha9fk83u9f7yD1H0Z4L9rNw61eneQadZ95UdCPN4kXbGt6SMkDOipo3bqc2ye2s6bf0mcXZO+9vVQvJafJN0btRyYWlo/DhiTX3dy3r25XrX5h1SdS9qwGNqedF/MX4H/IN2P9tWI+H4pueu9DyS9G/hXUtfNn7SRxfVdnbVJ/9QuJA2gszXpfrA7JR1YJ72/0zuzeen1XsA1eV70RNkK+AJwu6RyC67f6/1jSp7/LSJur7N9SNW7g0yz7htTer2oSbqFeT62SRpLijptpz7hpXXaTt5y/np52z32oLmWkrYBvp4Xz4qI8i+dfT3vKq5Xp8ceaJaRum4+RbqPDNKANN+g1IqZud47JGkMqT6Xkn48aYfru+8eJ90j+FrSvZVrkcq6D6mFZTQwVdJuNfn8nd6ZCaXXXyK1UL0hIsaRyvpO0r2BGwCX5N4q4Pd65SStSRopFuD8BsmGVL07yDTrvpYP1bWORQd5iuvRl7yd5h+QJK1PGp1xNeBW0i/fL0lSet1fdd5o25D6/ETEExExMSImkv7h3oLUanwCqbVh61Jy13vnTgQ2Bk6LiH+0Spy5vvsoIq6OiBMj4s6IeD6vWxIRV5DuO76f1Mp2SqNddHDYlfk7vfx//jLgXyPiz5C6PkbElaTnZ0Jq1fzX/Nrv9ep9iPQ4sBeAaQ3SDKl6d5Bp1n3zS69HN0m3Wp30Vt+CPF+tSZrytvl1XjfLW95eL2+7xx7w1zL/+no18ErgPmCfOgNv9PW826nz8q+sjep8SH1+8j+B90bER4D/RwqKfiKp+Nvteu+ApO1II8o+Qgo22+X67kf5ntiit8TOktYpbfZ3emfK5bk8Iu6vTRARlwP35sW31snn93o1Ds3zKyPi6QZphlS9O8g0675y3/dXNElXbHuiH8syVBR12k59zuelX5Yt80oaTU83pPL1GFLXUtJ40ihzryU9R+6tEfFUnaRz6fknsJPz7s31qs0/pOq8iTPzfDvSc9TA9d6p75Jay75MGmtjbHkqpVslryv+qXJ9979iREyRHllV8Hd6Z8rlv6dhqp5tG+W53+sVyve77pQXXzbgT8mQqncHmWbddzc93Re2rpcgt1xskRfb7dq1MivqqG59ZuVR2MrdR4q8E/PIfM3yltMTEc8AM3tx7AF7LfM9a1cAk4EnSQHmw/XS5vq7Ky92ct7lUSEb/V0q8paPBSvP5+ex0utXgeu9DzbJ86mkwZVqp8IP8vI/wPW9gjTqLujv9M48SM/9de10v0wPivV7vWpT8vxZ4NJGiYZavTvINOuyiJgHTM+Lb2uQ7A3A+Pz6f/u9UIPf7/P8TZJWbZCmqOva+ryeNBgI9HQdqrVXnj/BS7+ky8euey3zc/mKL/ABeS3zr/qXku6RmkUKMO9rka3Vea8KvCkv1p53kXc8Pb/21irq/E8RUfzSuzJ9fsqPdii30rjeVyzXd/96fen1Q6XX/k7vQH7kxLV5ccsmSYvAoV6d+73eBzkwOygv/qy4F7mJoVPvEeHJk6cuT6Sh24PUVWL9Otsvydund7usXa6nSbkeAtiySbqJpEc+BHBEne3vztuWA9vU2f6rvP1PwLCabWNIf4gDOLVO3n3ztmXAtnW2fydvfxwY1e06rVO+UcCVuYzPATu0mW/70rV5V53tR+ZtC4F162y/PW+/uM62V+TPRqPrOag/P6Sum2qR5tx8DkuBNVzv/Xo9ivqcUmeb67vzem31Hh9H6rYZpH+Ay9v8nd55vX+o9N2xWZ3t+9R7T/u9Xln9712qx53aSD9k6r3rle/Jk6eAdJP1jPzhvRV4TV6/OvCt0hfOXt0uaxfqZu3SVP7y3blmW+0/Dt8sfREfDAzP699J6v4UwLQGx9yW9PiIIHWpWzuv35h0j2IRgK1TJ6+Am3OaB4Gd8/pVgM+S/lEJ4KPdrts6ZR8OXFz6I7NzL/NfmPPOBN5Z2uch+ToEcHKDvO8sXdtvAavn9a/Jn4kAHgBWqZN3UH9+SD+e3Eoa5XHD0vphpHswp5XO4f+53vv9ejQMMl3ffX6f3wx8BNi4tH4U8Hbg7/QEc3vWye/v9M7qfRiphSpyHe9UWv920u0QQQrAVZPX7/W+1/9Pc1nv7EWeIVHvXa98T548pSn/EZxZ+hDPKf3xWg4c0+0ydqleos1pUk2+kcDlpe2LSTfUF8t/Lr58Gxz3UNIvv0X9zy7lnU+df4JKeTck/TNSpJ9X2lcAZ3e7XhuUe7dSGReR/vloNN1SJ/84ev6ZiVzfi0vLlwIjmhz/K6W0L+TPQLH8DPDaJnkH7eeHl7bQF3X/TE3dBfDjevXneq/8ehTnMqXBdtd3de/zmfQEf0VdHtwgv7/TO6/7DUmBRVHeuTV1dzewkd/rldf7OHqCws/3Mt+gr/euXwBPnjz1TKQuQd/NfwwWkx6SfBnwlm6XrYt1Em1Ok+rkHQZ8HLgpf1HOB/4CfJ42ujWRBr25kHSfzhLSCKs/ok6Xozp5xwEnk+7vWUS64f//gP26XadNyrxHL+p7RoN9jCI9R/P2XN9zcv1/jBbd5XL+t+b3fBFkPZA/E+u1kXdQfn5yne0P/DC/P58k/QM7j/Tw9POAXdvYh+u9muvRNMh0fXdcr6NJXf0uJAU1s/L7fDZwC+nZmJu02Ie/0zuv/7HA8aTWzAW57m4DvgSM9Xu9X+r88Pxdsgx4RS/zDvp6V96ZmZmZmZmZWZ95dFkzMzMzMzOrjINMMzMzMzMzq4yDTDMzMzMzM6uMg0wzMzMzMzOrjINMMzMzMzMzq4yDTDMzMzMzM6uMg0wzMzMzMzOrjINMMzMzMzMzq4yDTDMzMzMzM6uMg0wzM+t3ks6XFG1MRw2Asu4g6XhJh3S7LP1F0uG5vl/odlkGEkmb5mv/qW6XZbCQtJWkMyXdIWmepMWSHpb0Z0nfl7S/pDW6XU4zW7FGdLsAZma2UlkKPNtk+4IVVZAmdgCOA/4XmNrlstiKtSnp2j8AnNHlsgx4kv4DOB0YmVcFMBtYD9gI2An4d+BI4KxulNHMusNBppmZrUg3RsQe3S6EmfWNpN2A7+XFq4GTgD9FxPOSBGwO7AUcRAo+zWwl4iDTzMzMzHqr6FJ8G/COiFhebIiIAO7N01mSRnehfGbWRb4n08zMBjxJu0m6UNKjkpZImiXpd5I+2CTPNpKOk3R9vkesyPd7SYdJGlaTfoSkAM7Nq95S557RN+a0m7W6p1HSW3Oa++tse7TYn6SNJJ0t6Z+5jNOrOP9OSTopl+08ScMkHSnpdkkLJD2e76/doJR+C0kX5LItlvR3SR9psO+X1Imk90q6VtJzkuZLulHSAS3KNzzfU3pdzrdY0oOSfihp0zaPu4+k30p6WtJySUdIehT4Xc7yqjrX/qDS/taS9G+Sfinp7nwv4nxJd0o6VdLEBuV4yfsmv0d/LumpfB53SfqypFEt6mAXST+RNCPnmynpVklfl/TqBnleKeksSfdKWihprqTpkj4vabVmx2vgdXl+ZTnArCciFlV8Lm/Jdf+kpOfz/BeS9miQfkTpOm4oaWtJU/N7dqmki+vkeY+k35SO8VRefluzczWzLCI8efLkyZOnfp2A80ld5q7tZT4Bp+a8xTQXWF5a/gkwrE7e2aU0L9QsB/BrYHgp/XDgSWBO3r4kL5en1+e0mxX7bVL2t+Y099fZ9mje9lFgVn69IE/Tqzj/FvV6eKPyk7o9BvAj4KJSXSwoHfN+YC1g11K9zq4p1382qxPgs/n1cuA5YFkp7+kNyj0GuKaU7vma67oQeFeL436h5rgvAEeQWuSeLb1faq/9+0v7O73mmszOeYrlJ4HX1inHZqX9vwNYVMpfPv+Lm3wevlNz7Dn5+hTL59XJtx+wuKaeynluB9bp5Xvonpz3xx1+J3R6LqeUthfXsPy++1qdPCNK2w/K518cb3G5voFRwM/qlKu8/PWqvyM9eRpqU9cL4MmTJ0+ehv5E50FmEYg8BXwcmJDXjwY+CDyRt3+uTt5fAYeRBiAZnteNAQ7J+2sUCBUB2DVNylVVkDkv/4P/hvK+qzj/FvXaTpA5O/9z/SHSwC7DgN1Ldfd94OFcz6/MeccB59ATNK/RoE7mkwaB+i9g3bxtTeC00j/y+9cp23l526J8Dqvk9VsC15X2/aoGx11ICubOKB13NLBBq2tW5315MrAdMCavGw5MJt2fGMDtTd43y3P9/hTYJG8bC3y5dP571cn/xdL2M4GN8/phwCTSIDvH1OTZOdf1UuDrwEal8v4LcEve3+W9fA9No+cHiPd28J3QybkcVMpzOrBWXr826f7QYtsBNfnKQeY84P+ArfM2ld8vuSxBGvzpg8DY0vX5BOlHngD26+05e/K0Mk1dL4AnT548eRr6Ez1B5vO8vIWomH5ck2dNUqCyBNixwX53zfudCYzoRXnenPPdV2fbigwyZ9GgBamfz7+dIDOAD9fZ/m+l7XdRag3O24cDD+btBzaokwCuaFC2nxT7rln/KnparD5SJ9+Y0nH/q8lxp3ZyzXpRt6sCd+f97NrgfdPs/K/M28+pWb8uPS2fJ/aiPDflPEc22L4WPT9WbNeL/W5TKk8A/yT9aPAJ0gjNw5vk7fW5kILP4vpe0CDNz4vrB6i0vhxk3gus2iD/lvk9Nosc/NdJcyANfkTw5MlTz+R7Ms3MbEUaSXq8Qb2p9ll6+wGrAddFxK31dhYRNwAPkf5R3r4X5biW1KKxmaR1e5GvaudHxDMNtvXn+bfjIVK3wVrXlF5/KyKW1ZRpGal+AV7bZP/faLD+5DzfUlI5//tIrU6PAT+uzRQRC0hdiwE+oJp7bku+3aRMfRYRi+mpo12bJD2lwfpf5Xlt3e1PCmBn0VNHTUnagtSSuYDUwlyvvLOAq/Ji2/cbRsTfSEH5XXnVJNIPEGcDtwIzle413rBO9l6fC7Aj8Mr8+qQGaY7P81fl9PWcma9RPYeS3mO/iIiHGqS5mNQqvK2kdZqW2Gwl5tFlzcxsRfpDtP8Ik12KuaQnm6RbM883InX9A0CSSIHah0ktK+sAq9TJ/wrg6TbLVLWbmmzr0/lX4M6oP6BLua7uaJD3qTyv/eGgsIQG5x4Rd0l6hnS9digdY4c8v65BuSB1gwRYndRqeG/N9vlNytwrkl4DfBLYjRRgjSEFKGWvaLKLlw3wlD2W57V1t3Oe/29ELGmzmMV7aBXgofSRqGtsnm/U5n6B9CNH/iFgN9I9pjuTfuxYHZhAatU8QNI+EXFjKWsn51Jc/yci4p4G5fmHpKdIP1rtQP06bucz90FJ726SbniebwQ0+pHIbKXmINPMzAaq9fN8tTy18mIaSSNJLQ7vKW1fQupWWrS8rUPqgjemzyXtXLN/UDs+/4o80WD9sl6kGdlg+9MR0XBkXlKgtU6eCuuUtjXyaE362iBzZkREk/xtkfRhUhfw4v+o4h7L5/PyWNL7qtF7a1lELGywrWhlq6279fL84V4UtXgPjSjlb6bX76Ec8F+bJyQV93p+nHQP5QTgQkmbl1oQOzmXdq4/pPfAerz0vVPWzmdu9Ty1UvVnzmzIcHdZMzMbqIq/Ud+OCLUx/aSU9xOkAHMBcCRpsJNVI2KdiJgYERPpaZFr2LyzAixrsq0v5z/YNbsm9Vqj29WsvtsiaT1S19MRpIF7diTd47dm6b11ZpG8r8crH7qDPMV76JY230OH97WQEbEsIq6PiIOBE/LqDXlpV9y+1Etfrj+095n7ZJv1dX0fy2I2ZDnINDOzgarocvmaDvLul+fHR8RZEVFu4SpaOtd8eba2Fa1ww/K+6hnfh/1D385/oFtXUrPeVEWLUrnVqXi9SZN85fv/+qsb4z6kFqy/AwdFxG0RsbQmTTuthr1VdJludv61ivfQFrmFcUX7Uel1+ZmXnZxLO9cfet4DnVz/ofyZM1uhHGSamdlAVdw79WZJje7ta6T4R/MvDba/ifQ8vHqK+/2atbbMLqXZoEGanZrkb0dfzn+gWwV4Q70NkrYkjT4K6dmV1LzeWdKqDfa7Z57PJY0w2lvtXPvivfXXel1v84BDb+7g2K3cnOd7Smq3Na94D40D3lJ9kVpaUHr9fOl1J+dSXP9xknaolyDfJ7teTfreKOrrPS1+BDGzFhxkmpnZQHUh6bmGqwHfbJawThA2J89fVyftCOBrTXY3N88nNEoQEbPpuf/vvXWOsQ7wkSbHaEdfzn8w+GKL9XdHRHmQnktIj45Yl/QIlpeQNAY4ukjbZHCgZlpee5q8t7JPkAYCqtrPSfdrrgV8pZ0Muf6KwW++JanhPYSSVpPU6IeXeunf3Ebr6IGl17eXXvf6XEgj1v4zv/5SgzTH5/kDOX1vnU96j20EfL5ZwkH6mTNbYRxkmpnZgJQf7VH8A/pRST+TtHWxXdKqkt4k6Wzguprsv8vz4yS9u/hnOLd0XE4aebLRwCt35vnrJE1uUsSfl46xT9HyIWkX0iMs+tQ9sY/nP9AtAPaWdG7xGAhJa0g6FTgkpzmunCEiHqSn++W3JR1eBEX5UR1XkB5xsYD2H4tR615SV+g1Jb3sx4Psd6RAZFtJp0san8swXtIxwBmkR3NUKiKepufRHV+RdIakjfKxh0naRNLRkr5ck/UIUivitsB1kvYsfR6GSXqtpK+SArPePM7nNOA+ScdJmlx0G8/73FTSN3MaSAHfDX05l/yjwbF58f257tfMedaW9D16usl/uZMBnnJQXtxPe3IuV/HYFCSNlbSXpJ9Q//E+Zlbo1gM6PXny5MnTyjPR00JwbQd5jyN1Yywepr4AeJY0gEex7r6aPGvR8+D2IP2TPSe/fgE4mNQSGcAb6xzzhlLemcCMPE0upVmT1LJSpFtMekRG8WD6Q/Lr++vsv+Gxqzj/NvZ5eFEXdbadlLed1yBv+cH2GzZIU3cfpOcqBqkr62fz6+V1zuf0BvsdA/xvKd0SUtflYnkR8K46+V48bht1M620v9mla79vKc0ZpTRRU/7LSc8ArXf+mzWq93bKSmocqD327FwPUe+YOd+7SK205XqbSfpclPe1QS/eQ7fU5F2W62Fpzfo7gI0rPJdT6hyz/N45qZP3bE3ac2rKNRd4jpd+Dn/X2+8yT55WpsktmWZmNqBFxAmkZ++dRwpORAo2ngCuJHVP3KUmzyzSs/h+QM8jDxYBvwDeFBEXtDjse3Pef5IeZbBJnl68FzAins3HPTeXRaR/3L9LGnH08U7Ot1Yn5z8YRMR3gH1JrbDDSNfnJuBDEXFUgzwLgL2AjwHX5zyjSUHgucBrI+KyPhbto6TuyfeQrndx7YtnSRIRnyLV++2koGg46R7AI4F3U8EotvVExPJ87D1ILemPk85/Dqm18GRSEFab7zJgc+DrpPuUF5O6BM8l/aByLLBlRLR6PEjZbsC/AmcBfyIFYauTgsyHgUuBw4DtI+Jljyrpw7kcQxqp9jekFuPVSZ+7XwN7RkS73W/riogXIuJj+fymAQ+R7t8enc/rF6Qfqd7fl+OYDXWK6PPjoszMzMxakvRWUnfTByJis26Xx8zM+odbMs3MzMzMzKwyDjLNzMzMzMysMg4yzczMzMzMrDIOMs3MzMzMzKwyHvjHzMzMzMzMKuOWTDMzMzMzM6uMg0wzMzMzMzOrjINMMzMzMzMzq4yDTDMzMzMzM6uMg0wzMzMzMzOrzP8HQEww2qvsQewAAAAASUVORK5CYII=\n", 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", 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" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], "source": [ - "# feature importances\n", "feat_imp = pd.Series(model.get_booster().get_fscore()).sort_values(ascending=False)\n", - "ax = feat_imp.plot.barh(figsize=(12,8), fontsize=24)\n", + "ax = feat_imp.plot.barh(figsize=(12,6), fontsize=24)\n", "ax.set_xlabel('Feature Importance Score', fontsize=24)\n", - "ax.invert_yaxis()\n", - "plt.savefig('featureimportances.pdf', bbox_inches='tight')" + "ax.invert_yaxis()" ] }, { - "cell_type": "code", - "execution_count": 18, + "cell_type": "markdown", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "EMcrossnear 6844\n", - "MMRstrengthnear 6568\n", - "MMRstrengthfar 6392\n", - "EPstdnear 6161\n", - "EMfracstdfar 5815\n", - "EMfracstdnear 5509\n", - "EMcrossfar 5077\n", - "EPstdfar 5009\n", - "MEGNOstd 4763\n", - "MEGNO 4350\n", - "dtype: int64" - ] - }, - "execution_count": 18, - "metadata": {}, - "output_type": "execute_result" - } - ], "source": [ - "feat_imp" + "# Performance histogram" ] }, { @@ -1354,21 +1842,29 @@ "outputs": [ { "data": { - "image/png": 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"text/plain": [ - "
" + "(0.0, 291.5)" ] }, - "metadata": { - "needs_background": "light" + "execution_count": 19, + "metadata": {}, + "output_type": "execute_result" + }, + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] }, + "metadata": {}, "output_type": "display_data" } ], "source": [ "# Histogram:\n", "bins = 50\n", - "Stable, Unstable = stable_unstable_hist(trainingdatafolder, model, features)\n", + "Stable, Unstable = stable_unstable_hist(model, testX, testY)\n", "\n", "fig, ax1 = plt.subplots()\n", "n, bins, patches = ax1.hist(Unstable, bins, alpha=0.5, label='No', color='blue', edgecolor = \"black\")\n", @@ -1384,8 +1880,14 @@ " tl.set_color('green')\n", " \n", "ax1.set_ylim([0,35*n[-1]]) # goes up to ~4300\n", - "ax2.set_ylim([0,1.1*n[-1]]) # goes up to ~2100\n", - "fig.savefig('stable_unstable_comparison.png')" + "ax2.set_ylim([0,1.1*n[-1]]) # goes up to ~2100" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "# Model performance and accuracy" ] }, { @@ -1405,19 +1907,17 @@ }, { "data": { - "image/png": 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\n", 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", "text/plain": [ - "
" + "
" ] }, - "metadata": { - "needs_background": "light" - }, + "metadata": {}, "output_type": "display_data" } ], "source": [ - "bincenters, fracstable, errorbars = calibration_plot(trainingdatafolder, model, features, bins=8)\n", + "bincenters, fracstable, errorbars = calibration_plot(model, testX, testY, bins=8)\n", "fig, ax = plt.subplots(figsize=(8,6))\n", "ax.plot(np.linspace(0,1,100), np.linspace(0,1,100), '--')\n", "ax.errorbar(bincenters, fracstable, errorbars)\n", @@ -1426,51 +1926,11 @@ "ax.set_xlabel('Predicted Probability of Stability')\n", "ax.set_ylabel('Fraction actually stable')" ] - }, - { - "cell_type": "code", - "execution_count": 21, - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "Text(0.5, 1.0, 'Fraction of unstable systems mislabeled as stable')" - ] - }, - "execution_count": 21, - "metadata": {}, - "output_type": "execute_result" - }, - { - "data": { - "image/png": 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\n", - "text/plain": [ - "
" - ] - }, - "metadata": { - "needs_background": "light" - }, - "output_type": "display_data" - } - ], - "source": [ - "thresh = 0.34 # for 10% FPR\n", - "bincenters, errorfracs, errorbars = unstable_error_fraction(trainingdatafolder, model, thresh, features, bins=10)\n", - "fig, ax = plt.subplots(figsize=(8,6))\n", - "ax.errorbar(bincenters, errorfracs, errorbars)\n", - "ax.set_ylim([0,1])\n", - "ax.set_xlabel('Log Instability Time')\n", - "ax.set_ylabel('Error Fraction')\n", - "ax.set_title('Fraction of unstable systems mislabeled as stable')" - ] } ], "metadata": { - "anaconda-cloud": {}, "kernelspec": { - "display_name": "Python 3", + "display_name": "ethadhani", "language": "python", "name": "python3" }, @@ -1484,7 +1944,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.7.3" + "version": "3.10.13" } }, "nbformat": 4,