1439 lines
334 KiB
Plaintext
1439 lines
334 KiB
Plaintext
{
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"cells": [
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{
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"cell_type": "code",
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"execution_count": 614,
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"metadata": {},
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"outputs": [
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{
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"name": "stdout",
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"output_type": "stream",
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"text": [
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"|--- Density <= 1.04\n",
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"| |--- Density <= 1.03\n",
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"| | |--- value: [70.00]\n",
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"| |--- Density > 1.03\n",
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"| | |--- Density <= 1.04\n",
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"| | | |--- value: [65.00]\n",
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"| | |--- Density > 1.04\n",
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"| | | |--- value: [60.00]\n",
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"|--- Density > 1.04\n",
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"| |--- Density <= 1.07\n",
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"| | |--- TiO2 <= 0.03\n",
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"| | | |--- Al2O3 <= 0.03\n",
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"| | | | |--- Density <= 1.05\n",
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"| | | | | |--- Density <= 1.05\n",
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"| | | | | | |--- value: [50.00]\n",
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"| | | | | |--- Density > 1.05\n",
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"| | | | | | |--- value: [42.50]\n",
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"| | | | |--- Density > 1.05\n",
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"| | | | | |--- Density <= 1.06\n",
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"| | | | | | |--- value: [35.00]\n",
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"| | | | | |--- Density > 1.06\n",
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"| | | | | | |--- value: [22.50]\n",
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"| | | |--- Al2O3 > 0.03\n",
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"| | | | |--- Density <= 1.06\n",
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"| | | | | |--- Density <= 1.05\n",
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"| | | | | | |--- value: [70.00]\n",
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"| | | | | |--- Density > 1.05\n",
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"| | | | | | |--- value: [65.00]\n",
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"| | | | |--- Density > 1.06\n",
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"| | | | | |--- Density <= 1.07\n",
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"| | | | | | |--- value: [55.00]\n",
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"| | | | | |--- Density > 1.07\n",
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"| | | | | | |--- value: [50.00]\n",
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"| | |--- TiO2 > 0.03\n",
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"| | | |--- Density <= 1.06\n",
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"| | | | |--- value: [70.00]\n",
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"| | | |--- Density > 1.06\n",
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"| | | | |--- Density <= 1.06\n",
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"| | | | | |--- value: [65.00]\n",
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"| | | | |--- Density > 1.06\n",
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"| | | | | |--- value: [60.00]\n",
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"| |--- Density > 1.07\n",
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"| | |--- Density <= 1.12\n",
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"| | | |--- Density <= 1.08\n",
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"| | | | |--- Density <= 1.07\n",
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"| | | | | |--- value: [45.00]\n",
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"| | | | |--- Density > 1.07\n",
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"| | | | | |--- Density <= 1.08\n",
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"| | | | | | |--- value: [40.00]\n",
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"| | | | | |--- Density > 1.08\n",
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"| | | | | | |--- value: [35.00]\n",
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"| | | |--- Density > 1.08\n",
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"| | | | |--- Density <= 1.09\n",
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"| | | | | |--- value: [30.00]\n",
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"| | | | |--- Density > 1.09\n",
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"| | | | | |--- Al2O3 <= 0.03\n",
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"| | | | | | |--- value: [22.50]\n",
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"| | | | | |--- Al2O3 > 0.03\n",
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"| | | | | | |--- value: [20.00]\n",
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"| | |--- Density > 1.12\n",
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"| | | |--- Density <= 1.18\n",
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"| | | | |--- Density <= 1.15\n",
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"| | | | | |--- value: [70.00]\n",
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"| | | | |--- Density > 1.15\n",
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"| | | | | |--- Al2O3 <= 0.15\n",
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"| | | | | | |--- value: [65.00]\n",
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"| | | | | |--- Al2O3 > 0.15\n",
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"| | | | | | |--- value: [50.00]\n",
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"| | | |--- Density > 1.18\n",
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"| | | | |--- Al2O3 <= 0.15\n",
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"| | | | | |--- Density <= 1.20\n",
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"| | | | | | |--- value: [50.00]\n",
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"| | | | | |--- Density > 1.20\n",
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"| | | | | | |--- value: [30.00]\n",
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"| | | | |--- Al2O3 > 0.15\n",
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"| | | | | |--- Density <= 1.18\n",
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"| | | | | | |--- value: [30.00]\n",
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"| | | | | |--- Density > 1.18\n",
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"| | | | | | |--- value: [22.50]\n",
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"\n"
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]
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}
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],
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"source": [
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"import pickle\n",
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"import pandas as pd\n",
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"from sklearn import tree\n",
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"\n",
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"model = pickle.load(open(\"data/temp_density_tree.model.sav\", \"rb\"))\n",
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"features = (\n",
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" pd.read_csv(\"data/density_train.csv\", sep=\";\", decimal=\",\")\n",
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" .drop([\"T\"], axis=1)\n",
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" .columns.values.tolist()\n",
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")\n",
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"\n",
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"rules = tree.export_text(model, feature_names=features)\n",
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"print(rules)"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 615,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"27"
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]
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},
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"data": {
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"text/plain": [
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"[if (Density > 1.042) and (Density > 1.069) and (Density <= 1.118) and (Density > 1.083) and (Density > 1.086) and (Al2O3 > 0.025) -> 20.0,\n",
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" if (Density > 1.042) and (Density <= 1.069) and (TiO2 <= 0.025) and (Al2O3 <= 0.025) and (Density > 1.053) and (Density > 1.057) -> 22.5,\n",
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" if (Density <= 1.042) and (Density > 1.033) and (Density > 1.037) -> 60.0,\n",
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" if (Density > 1.042) and (Density <= 1.069) and (TiO2 <= 0.025) and (Al2O3 <= 0.025) and (Density <= 1.053) and (Density <= 1.046) -> 50.0,\n",
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" if (Density > 1.042) and (Density <= 1.069) and (TiO2 <= 0.025) and (Al2O3 <= 0.025) and (Density <= 1.053) and (Density > 1.046) -> 42.5,\n",
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" if (Density > 1.042) and (Density <= 1.069) and (TiO2 <= 0.025) and (Al2O3 <= 0.025) and (Density > 1.053) and (Density <= 1.057) -> 35.0,\n",
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" if (Density <= 1.042) and (Density > 1.033) and (Density <= 1.037) -> 65.0,\n",
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" if (Density > 1.042) and (Density <= 1.069) and (TiO2 <= 0.025) and (Al2O3 > 0.025) and (Density <= 1.061) and (Density <= 1.055) -> 70.0,\n",
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" if (Density > 1.042) and (Density <= 1.069) and (TiO2 <= 0.025) and (Al2O3 > 0.025) and (Density <= 1.061) and (Density > 1.055) -> 65.0,\n",
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" if (Density > 1.042) and (Density <= 1.069) and (TiO2 <= 0.025) and (Al2O3 > 0.025) and (Density > 1.061) and (Density <= 1.066) -> 55.0,\n",
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" if (Density > 1.042) and (Density <= 1.069) and (TiO2 <= 0.025) and (Al2O3 > 0.025) and (Density > 1.061) and (Density > 1.066) -> 50.0,\n",
|
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" if (Density > 1.042) and (Density <= 1.069) and (TiO2 > 0.025) and (Density <= 1.058) -> 70.0,\n",
|
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" if (Density > 1.042) and (Density <= 1.069) and (TiO2 > 0.025) and (Density > 1.058) and (Density <= 1.062) -> 65.0,\n",
|
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" if (Density > 1.042) and (Density <= 1.069) and (TiO2 > 0.025) and (Density > 1.058) and (Density > 1.062) -> 60.0,\n",
|
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" if (Density > 1.042) and (Density > 1.069) and (Density <= 1.118) and (Density <= 1.083) and (Density <= 1.074) -> 45.0,\n",
|
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" if (Density > 1.042) and (Density > 1.069) and (Density <= 1.118) and (Density <= 1.083) and (Density > 1.074) and (Density <= 1.079) -> 40.0,\n",
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" if (Density > 1.042) and (Density > 1.069) and (Density <= 1.118) and (Density <= 1.083) and (Density > 1.074) and (Density > 1.079) -> 35.0,\n",
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" if (Density > 1.042) and (Density > 1.069) and (Density <= 1.118) and (Density > 1.083) and (Density <= 1.086) -> 30.0,\n",
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" if (Density > 1.042) and (Density > 1.069) and (Density <= 1.118) and (Density > 1.083) and (Density > 1.086) and (Al2O3 <= 0.025) -> 22.5,\n",
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" if (Density <= 1.042) and (Density <= 1.033) -> 70.0,\n",
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" if (Density > 1.042) and (Density > 1.069) and (Density > 1.118) and (Density <= 1.179) and (Density <= 1.148) -> 70.0,\n",
|
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" if (Density > 1.042) and (Density > 1.069) and (Density > 1.118) and (Density <= 1.179) and (Density > 1.148) and (Al2O3 <= 0.15) -> 65.0,\n",
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" if (Density > 1.042) and (Density > 1.069) and (Density > 1.118) and (Density <= 1.179) and (Density > 1.148) and (Al2O3 > 0.15) -> 50.0,\n",
|
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" if (Density > 1.042) and (Density > 1.069) and (Density > 1.118) and (Density > 1.179) and (Al2O3 <= 0.15) and (Density <= 1.203) -> 50.0,\n",
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" if (Density > 1.042) and (Density > 1.069) and (Density > 1.118) and (Density > 1.179) and (Al2O3 <= 0.15) and (Density > 1.203) -> 30.0,\n",
|
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" if (Density > 1.042) and (Density > 1.069) and (Density > 1.118) and (Density > 1.179) and (Al2O3 > 0.15) and (Density <= 1.182) -> 30.0,\n",
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" if (Density > 1.042) and (Density > 1.069) and (Density > 1.118) and (Density > 1.179) and (Al2O3 > 0.15) and (Density > 1.182) -> 22.5]"
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]
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},
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"execution_count": 615,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"from src.rules import get_rules\n",
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"\n",
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"\n",
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"rules = get_rules(model, features)\n",
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"display(len(rules))\n",
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"rules"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 616,
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"metadata": {},
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"outputs": [
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{
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|
"data": {
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"text/plain": [
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"27"
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|
]
|
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},
|
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"metadata": {},
|
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"output_type": "display_data"
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},
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{
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"data": {
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"text/plain": [
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"[if (Density > 1.042) and (Density <= 1.118) and (Al2O3 > 0.025) -> 20.0,\n",
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" if (Density > 1.042) and (Density <= 1.069) and (TiO2 <= 0.025) and (Al2O3 <= 0.025) -> 22.5,\n",
|
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" if (Density <= 1.042) and (Density > 1.033) -> 60.0,\n",
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" if (Density > 1.042) and (Density <= 1.069) and (TiO2 <= 0.025) and (Al2O3 <= 0.025) -> 50.0,\n",
|
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" if (Density > 1.042) and (Density <= 1.069) and (TiO2 <= 0.025) and (Al2O3 <= 0.025) -> 42.5,\n",
|
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" if (Density > 1.042) and (Density <= 1.069) and (TiO2 <= 0.025) and (Al2O3 <= 0.025) -> 35.0,\n",
|
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" if (Density <= 1.042) and (Density > 1.033) -> 65.0,\n",
|
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" if (Density > 1.042) and (Density <= 1.069) and (TiO2 <= 0.025) and (Al2O3 > 0.025) -> 70.0,\n",
|
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" if (Density > 1.042) and (Density <= 1.069) and (TiO2 <= 0.025) and (Al2O3 > 0.025) -> 65.0,\n",
|
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" if (Density > 1.042) and (Density <= 1.069) and (TiO2 <= 0.025) and (Al2O3 > 0.025) -> 55.0,\n",
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" if (Density > 1.042) and (Density <= 1.069) and (TiO2 <= 0.025) and (Al2O3 > 0.025) -> 50.0,\n",
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" if (Density > 1.042) and (Density <= 1.069) and (TiO2 > 0.025) -> 70.0,\n",
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" if (Density > 1.042) and (Density <= 1.069) and (TiO2 > 0.025) -> 65.0,\n",
|
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" if (Density > 1.042) and (Density <= 1.069) and (TiO2 > 0.025) -> 60.0,\n",
|
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" if (Density > 1.042) and (Density <= 1.118) -> 45.0,\n",
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" if (Density > 1.042) and (Density <= 1.118) -> 40.0,\n",
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" if (Density > 1.042) and (Density <= 1.118) -> 35.0,\n",
|
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" if (Density > 1.042) and (Density <= 1.118) -> 30.0,\n",
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" if (Density > 1.042) and (Density <= 1.118) and (Al2O3 <= 0.025) -> 22.5,\n",
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" if (Density <= 1.042) -> 70.0,\n",
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" if (Density > 1.042) and (Density <= 1.179) -> 70.0,\n",
|
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" if (Density > 1.042) and (Density <= 1.179) and (Al2O3 <= 0.15) -> 65.0,\n",
|
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" if (Density > 1.042) and (Density <= 1.179) and (Al2O3 > 0.15) -> 50.0,\n",
|
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" if (Density > 1.042) and (Density <= 1.203) and (Al2O3 <= 0.15) -> 50.0,\n",
|
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" if (Density > 1.042) and (Al2O3 <= 0.15) -> 30.0,\n",
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" if (Density > 1.042) and (Density <= 1.182) and (Al2O3 > 0.15) -> 30.0,\n",
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" if (Density > 1.042) and (Al2O3 > 0.15) -> 22.5]"
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]
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},
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"execution_count": 616,
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"metadata": {},
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"output_type": "execute_result"
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}
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],
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"source": [
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"from src.rules import normalise_rules\n",
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"\n",
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"\n",
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"rules = normalise_rules(rules)\n",
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"display(len(rules))\n",
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"rules"
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]
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},
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{
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"cell_type": "code",
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"execution_count": 617,
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"metadata": {},
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"outputs": [
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{
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"data": {
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"text/plain": [
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"15"
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]
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},
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"metadata": {},
|
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"output_type": "display_data"
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},
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{
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"data": {
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"text/plain": [
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"[if (Density > 1.042) and (Density <= 1.118) and (Al2O3 > 0.025) -> 20.0,\n",
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" if (Density > 1.042) and (Density <= 1.069) and (TiO2 <= 0.025) and (Al2O3 <= 0.025) -> 37.5,\n",
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" if (Density <= 1.042) and (Density > 1.033) -> 62.5,\n",
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" if (Density > 1.042) and (Density <= 1.069) and (TiO2 <= 0.025) and (Al2O3 > 0.025) -> 60.0,\n",
|
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" if (Density > 1.042) and (Density <= 1.069) and (TiO2 > 0.025) -> 65.0,\n",
|
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" if (Density > 1.042) and (Density <= 1.118) -> 37.5,\n",
|
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" if (Density > 1.042) and (Density <= 1.118) and (Al2O3 <= 0.025) -> 22.5,\n",
|
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" if (Density <= 1.042) -> 70.0,\n",
|
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" if (Density > 1.042) and (Density <= 1.179) -> 70.0,\n",
|
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" if (Density > 1.042) and (Density <= 1.179) and (Al2O3 <= 0.15) -> 65.0,\n",
|
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" if (Density > 1.042) and (Density <= 1.179) and (Al2O3 > 0.15) -> 50.0,\n",
|
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" if (Density > 1.042) and (Density <= 1.203) and (Al2O3 <= 0.15) -> 50.0,\n",
|
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" if (Density > 1.042) and (Al2O3 <= 0.15) -> 30.0,\n",
|
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" if (Density > 1.042) and (Density <= 1.182) and (Al2O3 > 0.15) -> 30.0,\n",
|
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" if (Density > 1.042) and (Al2O3 > 0.15) -> 22.5]"
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]
|
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},
|
|
"execution_count": 617,
|
|
"metadata": {},
|
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"output_type": "execute_result"
|
|
}
|
|
],
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"source": [
|
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"from src.rules import delete_same_rules\n",
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"\n",
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"\n",
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"rules = delete_same_rules(rules)\n",
|
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"display(len(rules))\n",
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"rules"
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]
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},
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{
|
|
"cell_type": "code",
|
|
"execution_count": 618,
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"metadata": {},
|
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"outputs": [
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{
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"data": {
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"text/html": [
|
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"<div>\n",
|
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"<style scoped>\n",
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" .dataframe tbody tr th:only-of-type {\n",
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" vertical-align: middle;\n",
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" }\n",
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"\n",
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" .dataframe tbody tr th {\n",
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" vertical-align: top;\n",
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" }\n",
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"\n",
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" .dataframe thead th {\n",
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" text-align: right;\n",
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" }\n",
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"</style>\n",
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"<table border=\"1\" class=\"dataframe\">\n",
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" <thead>\n",
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" <tr style=\"text-align: right;\">\n",
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" <th></th>\n",
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" <th>T</th>\n",
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" <th>Al2O3</th>\n",
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" <th>TiO2</th>\n",
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" <th>Density</th>\n",
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" </tr>\n",
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" </thead>\n",
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" <tbody>\n",
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" <tr>\n",
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" <th>0</th>\n",
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" <td>20</td>\n",
|
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" <td>0.0</td>\n",
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" <td>0.0</td>\n",
|
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" <td>1.06250</td>\n",
|
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" </tr>\n",
|
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" <tr>\n",
|
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" <th>1</th>\n",
|
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" <td>25</td>\n",
|
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" <td>0.0</td>\n",
|
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" <td>0.0</td>\n",
|
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" <td>1.05979</td>\n",
|
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" </tr>\n",
|
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" <tr>\n",
|
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" <th>2</th>\n",
|
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" <td>35</td>\n",
|
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" <td>0.0</td>\n",
|
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" <td>0.0</td>\n",
|
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" <td>1.05404</td>\n",
|
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" </tr>\n",
|
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" </tbody>\n",
|
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"</table>\n",
|
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"</div>"
|
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],
|
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"text/plain": [
|
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" T Al2O3 TiO2 Density\n",
|
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"0 20 0.0 0.0 1.06250\n",
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"1 25 0.0 0.0 1.05979\n",
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"2 35 0.0 0.0 1.05404"
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]
|
|
},
|
|
"metadata": {},
|
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" <th></th>\n",
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" <th>T</th>\n",
|
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" <th>Al2O3</th>\n",
|
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" <th>TiO2</th>\n",
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" <th>Density</th>\n",
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" T Al2O3 TiO2 Density\n",
|
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"0 30 0.00 0.0 1.05696\n",
|
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"1 55 0.00 0.0 1.04158\n",
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"2 25 0.05 0.0 1.08438"
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]
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" <tr style=\"text-align: right;\">\n",
|
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" <th></th>\n",
|
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" <th>count</th>\n",
|
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" <th>mean</th>\n",
|
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" <th>std</th>\n",
|
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" <th>min</th>\n",
|
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" <th>25%</th>\n",
|
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" <th>50%</th>\n",
|
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" <th>75%</th>\n",
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" <th>max</th>\n",
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" </tr>\n",
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" </thead>\n",
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" <tbody>\n",
|
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" <tr>\n",
|
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" <th>T</th>\n",
|
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" <td>38.0</td>\n",
|
|
" <td>45.526316</td>\n",
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|
" <td>16.513282</td>\n",
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" <td>20.00000</td>\n",
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" <td>31.25000</td>\n",
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" <td>60.000000</td>\n",
|
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" <td>70.0000</td>\n",
|
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" </tr>\n",
|
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" <tr>\n",
|
|
" <th>Al2O3</th>\n",
|
|
" <td>38.0</td>\n",
|
|
" <td>0.078947</td>\n",
|
|
" <td>0.126080</td>\n",
|
|
" <td>0.00000</td>\n",
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" <td>0.00000</td>\n",
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" <td>0.3000</td>\n",
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" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>TiO2</th>\n",
|
|
" <td>38.0</td>\n",
|
|
" <td>0.057895</td>\n",
|
|
" <td>0.108133</td>\n",
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|
" <td>0.00000</td>\n",
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" <td>0.00000</td>\n",
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|
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" <td>0.050000</td>\n",
|
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" <td>0.3000</td>\n",
|
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" </tr>\n",
|
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" <tr>\n",
|
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" <th>Density</th>\n",
|
|
" <td>38.0</td>\n",
|
|
" <td>1.108180</td>\n",
|
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" <td>0.060772</td>\n",
|
|
" <td>1.03182</td>\n",
|
|
" <td>1.05763</td>\n",
|
|
" <td>1.082755</td>\n",
|
|
" <td>1.169058</td>\n",
|
|
" <td>1.2186</td>\n",
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],
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"text/plain": [
|
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" count mean std min 25% 50% \\\n",
|
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"T 38.0 45.526316 16.513282 20.00000 31.25000 45.000000 \n",
|
|
"Al2O3 38.0 0.078947 0.126080 0.00000 0.00000 0.000000 \n",
|
|
"TiO2 38.0 0.057895 0.108133 0.00000 0.00000 0.000000 \n",
|
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"Density 38.0 1.108180 0.060772 1.03182 1.05763 1.082755 \n",
|
|
"\n",
|
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" 75% max \n",
|
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"T 60.000000 70.0000 \n",
|
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"Al2O3 0.050000 0.3000 \n",
|
|
"TiO2 0.050000 0.3000 \n",
|
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"Density 1.169058 1.2186 "
|
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]
|
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},
|
|
"execution_count": 618,
|
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"metadata": {},
|
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"output_type": "execute_result"
|
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}
|
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],
|
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"source": [
|
|
"train = pd.read_csv(\"data/density_train.csv\", sep=\";\", decimal=\",\")\n",
|
|
"test = pd.read_csv(\"data/density_test.csv\", sep=\";\", decimal=\",\")\n",
|
|
"\n",
|
|
"train[\"Density\"] = train[\"Density\"]\n",
|
|
"test[\"Density\"] = test[\"Density\"]\n",
|
|
"\n",
|
|
"display(train.head(3))\n",
|
|
"display(test.head(3))\n",
|
|
"train.describe().transpose()"
|
|
]
|
|
},
|
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{
|
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"cell_type": "code",
|
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"execution_count": 619,
|
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"metadata": {},
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"outputs": [
|
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{
|
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"data": {
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"text/plain": [
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"15"
|
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]
|
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},
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"metadata": {},
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"output_type": "display_data"
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},
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{
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"data": {
|
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"text/plain": [
|
|
"[if (Density = 1.08) and (Al2O3 = 0.3) -> 20.0,\n",
|
|
" if (Density = 1.055) and (TiO2 = 0.0) and (Al2O3 = 0.0) -> 37.5,\n",
|
|
" if (Density = 1.037) -> 62.5,\n",
|
|
" if (Density = 1.055) and (TiO2 = 0.0) and (Al2O3 = 0.3) -> 60.0,\n",
|
|
" if (Density = 1.055) and (TiO2 = 0.3) -> 65.0,\n",
|
|
" if (Density = 1.08) -> 37.5,\n",
|
|
" if (Density = 1.08) and (Al2O3 = 0.0) -> 22.5,\n",
|
|
" if (Density = 1.032) -> 70.0,\n",
|
|
" if (Density = 1.11) -> 70.0,\n",
|
|
" if (Density = 1.11) and (Al2O3 = 0.0) -> 65.0,\n",
|
|
" if (Density = 1.11) and (Al2O3 = 0.3) -> 50.0,\n",
|
|
" if (Density = 1.122) and (Al2O3 = 0.0) -> 50.0,\n",
|
|
" if (Density = 1.219) and (Al2O3 = 0.0) -> 30.0,\n",
|
|
" if (Density = 1.112) and (Al2O3 = 0.3) -> 30.0,\n",
|
|
" if (Density = 1.219) and (Al2O3 = 0.3) -> 22.5]"
|
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]
|
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},
|
|
"execution_count": 619,
|
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"metadata": {},
|
|
"output_type": "execute_result"
|
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}
|
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],
|
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"source": [
|
|
"from src.rules import simplify_rules\n",
|
|
"\n",
|
|
"rules = simplify_rules(train, rules)\n",
|
|
"display(len(rules))\n",
|
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"rules"
|
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]
|
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},
|
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{
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"cell_type": "code",
|
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"execution_count": 620,
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"metadata": {},
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"outputs": [
|
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{
|
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"name": "stderr",
|
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"output_type": "stream",
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"text": [
|
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"/Users/user/Projects/python/fuzzy-rules-generator/.venv/lib/python3.12/site-packages/skfuzzy/control/fuzzyvariable.py:125: UserWarning: FigureCanvasAgg is non-interactive, and thus cannot be shown\n",
|
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" fig.show()\n"
|
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]
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},
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{
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"data": {
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",
|
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"text/plain": [
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"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
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"image/png": 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",
|
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"text/plain": [
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"<Figure size 640x480 with 1 Axes>"
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]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
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{
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"data": {
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"image/png": 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",
|
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"text/plain": [
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"<Figure size 640x480 with 1 Axes>"
|
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]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
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"data": {
|
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"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"import numpy as np\n",
|
|
"from skfuzzy import control as ctrl\n",
|
|
"import skfuzzy as fuzz\n",
|
|
"\n",
|
|
"al = ctrl.Antecedent(np.arange(0, 0.3, 0.1), \"al\")\n",
|
|
"ti = ctrl.Antecedent(np.arange(0, 0.3, 0.1), \"ti\")\n",
|
|
"density = ctrl.Antecedent(np.arange(1.03, 1.22, 0.001), \"density\")\n",
|
|
"# temp = ctrl.Consequent(train[\"T\"].sort_values().unique(), \"temp\")\n",
|
|
"temp = ctrl.Consequent(np.arange(20, 70, 0.1), \"temp\")\n",
|
|
"\n",
|
|
"al.automf(3, variable_type=\"quant\")\n",
|
|
"al.view()\n",
|
|
"ti.automf(3, variable_type=\"quant\")\n",
|
|
"ti.view()\n",
|
|
"density.automf(3, variable_type=\"quant\")\n",
|
|
"density.view()\n",
|
|
"temp.automf(3, variable_type=\"quant\")\n",
|
|
"temp.view()"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 621,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"8"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"[IF density[average] AND al[high] THEN temp[low]\n",
|
|
" \tAND aggregation function : fmin\n",
|
|
" \tOR aggregation function : fmax,\n",
|
|
" IF (density[low] AND ti[low]) AND al[low] THEN temp[average]\n",
|
|
" \tAND aggregation function : fmin\n",
|
|
" \tOR aggregation function : fmax,\n",
|
|
" IF (density[low] AND ti[low]) AND al[high] THEN temp[high]\n",
|
|
" \tAND aggregation function : fmin\n",
|
|
" \tOR aggregation function : fmax,\n",
|
|
" IF density[low] AND ti[high] THEN temp[high]\n",
|
|
" \tAND aggregation function : fmin\n",
|
|
" \tOR aggregation function : fmax,\n",
|
|
" IF density[average] THEN temp[average]\n",
|
|
" \tAND aggregation function : fmin\n",
|
|
" \tOR aggregation function : fmax,\n",
|
|
" IF density[low] THEN temp[high]\n",
|
|
" \tAND aggregation function : fmin\n",
|
|
" \tOR aggregation function : fmax,\n",
|
|
" IF density[high] AND al[low] THEN temp[low]\n",
|
|
" \tAND aggregation function : fmin\n",
|
|
" \tOR aggregation function : fmax,\n",
|
|
" IF density[high] AND al[high] THEN temp[low]\n",
|
|
" \tAND aggregation function : fmin\n",
|
|
" \tOR aggregation function : fmax]"
|
|
]
|
|
},
|
|
"execution_count": 621,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"from src.rules import get_fuzzy_rules\n",
|
|
"\n",
|
|
"fuzzy_variables = {\"Al2O3\": al, \"TiO2\": ti, \"Density\": density, \"consequent\": temp}\n",
|
|
"fuzzy_rules = get_fuzzy_rules(rules, fuzzy_variables)\n",
|
|
"fuzzy_rules.remove(fuzzy_rules[5])\n",
|
|
"\n",
|
|
"fuzzy_cntrl = ctrl.ControlSystem(fuzzy_rules)\n",
|
|
"\n",
|
|
"sim = ctrl.ControlSystemSimulation(fuzzy_cntrl, lenient=False)\n",
|
|
"\n",
|
|
"display(len(fuzzy_rules))\n",
|
|
"fuzzy_rules"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 622,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"name": "stdout",
|
|
"output_type": "stream",
|
|
"text": [
|
|
"=============\n",
|
|
" Antecedents \n",
|
|
"=============\n",
|
|
"Antecedent: density = 1.0569013636039\n",
|
|
" - low : 0.7153294856729852\n",
|
|
" - average : 0.28467051432701485\n",
|
|
" - high : 0.0\n",
|
|
"Antecedent: al = 0.0\n",
|
|
" - low : 1.0\n",
|
|
" - average : 0.0\n",
|
|
" - high : 0.0\n",
|
|
"Antecedent: ti = 0.0\n",
|
|
" - low : 1.0\n",
|
|
" - average : 0.0\n",
|
|
" - high : 0.0\n",
|
|
"\n",
|
|
"=======\n",
|
|
" Rules \n",
|
|
"=======\n",
|
|
"RULE #0:\n",
|
|
" IF density[average] AND al[high] THEN temp[low]\n",
|
|
"\tAND aggregation function : fmin\n",
|
|
"\tOR aggregation function : fmax\n",
|
|
"\n",
|
|
" Aggregation (IF-clause):\n",
|
|
" - density[average] : 0.28467051432701485\n",
|
|
" - al[high] : 0.0\n",
|
|
" density[average] AND al[high] = 0.0\n",
|
|
" Activation (THEN-clause):\n",
|
|
" temp[low] : 0.0\n",
|
|
"\n",
|
|
"RULE #1:\n",
|
|
" IF (density[low] AND ti[low]) AND al[low] THEN temp[average]\n",
|
|
"\tAND aggregation function : fmin\n",
|
|
"\tOR aggregation function : fmax\n",
|
|
"\n",
|
|
" Aggregation (IF-clause):\n",
|
|
" - density[low] : 0.7153294856729852\n",
|
|
" - ti[low] : 1.0\n",
|
|
" - al[low] : 1.0\n",
|
|
" (density[low] AND ti[low]) AND al[low] = 0.7153294856729852\n",
|
|
" Activation (THEN-clause):\n",
|
|
" temp[average] : 0.7153294856729852\n",
|
|
"\n",
|
|
"RULE #2:\n",
|
|
" IF (density[low] AND ti[low]) AND al[high] THEN temp[high]\n",
|
|
"\tAND aggregation function : fmin\n",
|
|
"\tOR aggregation function : fmax\n",
|
|
"\n",
|
|
" Aggregation (IF-clause):\n",
|
|
" - density[low] : 0.7153294856729852\n",
|
|
" - ti[low] : 1.0\n",
|
|
" - al[high] : 0.0\n",
|
|
" (density[low] AND ti[low]) AND al[high] = 0.0\n",
|
|
" Activation (THEN-clause):\n",
|
|
" temp[high] : 0.0\n",
|
|
"\n",
|
|
"RULE #3:\n",
|
|
" IF density[low] AND ti[high] THEN temp[high]\n",
|
|
"\tAND aggregation function : fmin\n",
|
|
"\tOR aggregation function : fmax\n",
|
|
"\n",
|
|
" Aggregation (IF-clause):\n",
|
|
" - density[low] : 0.7153294856729852\n",
|
|
" - ti[high] : 0.0\n",
|
|
" density[low] AND ti[high] = 0.0\n",
|
|
" Activation (THEN-clause):\n",
|
|
" temp[high] : 0.0\n",
|
|
"\n",
|
|
"RULE #4:\n",
|
|
" IF density[average] THEN temp[average]\n",
|
|
"\tAND aggregation function : fmin\n",
|
|
"\tOR aggregation function : fmax\n",
|
|
"\n",
|
|
" Aggregation (IF-clause):\n",
|
|
" - density[average] : 0.28467051432701485\n",
|
|
" density[average] = 0.28467051432701485\n",
|
|
" Activation (THEN-clause):\n",
|
|
" temp[average] : 0.28467051432701485\n",
|
|
"\n",
|
|
"RULE #5:\n",
|
|
" IF density[low] THEN temp[high]\n",
|
|
"\tAND aggregation function : fmin\n",
|
|
"\tOR aggregation function : fmax\n",
|
|
"\n",
|
|
" Aggregation (IF-clause):\n",
|
|
" - density[low] : 0.7153294856729852\n",
|
|
" density[low] = 0.7153294856729852\n",
|
|
" Activation (THEN-clause):\n",
|
|
" temp[high] : 0.7153294856729852\n",
|
|
"\n",
|
|
"RULE #6:\n",
|
|
" IF density[high] AND al[low] THEN temp[low]\n",
|
|
"\tAND aggregation function : fmin\n",
|
|
"\tOR aggregation function : fmax\n",
|
|
"\n",
|
|
" Aggregation (IF-clause):\n",
|
|
" - density[high] : 0.0\n",
|
|
" - al[low] : 1.0\n",
|
|
" density[high] AND al[low] = 0.0\n",
|
|
" Activation (THEN-clause):\n",
|
|
" temp[low] : 0.0\n",
|
|
"\n",
|
|
"RULE #7:\n",
|
|
" IF density[high] AND al[high] THEN temp[low]\n",
|
|
"\tAND aggregation function : fmin\n",
|
|
"\tOR aggregation function : fmax\n",
|
|
"\n",
|
|
" Aggregation (IF-clause):\n",
|
|
" - density[high] : 0.0\n",
|
|
" - al[high] : 0.0\n",
|
|
" density[high] AND al[high] = 0.0\n",
|
|
" Activation (THEN-clause):\n",
|
|
" temp[low] : 0.0\n",
|
|
"\n",
|
|
"\n",
|
|
"==============================\n",
|
|
" Intermediaries and Conquests \n",
|
|
"==============================\n",
|
|
"Consequent: temp = 48.74543038303159\n",
|
|
" low:\n",
|
|
" Accumulate using accumulation_max : 0.0\n",
|
|
" average:\n",
|
|
" Accumulate using accumulation_max : 0.7153294856729852\n",
|
|
" high:\n",
|
|
" Accumulate using accumulation_max : 0.7153294856729852\n",
|
|
"\n"
|
|
]
|
|
},
|
|
{
|
|
"data": {
|
|
"text/plain": [
|
|
"np.float64(48.74543038303159)"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
},
|
|
{
|
|
"data": {
|
|
"image/png": 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",
|
|
"text/plain": [
|
|
"<Figure size 640x480 with 1 Axes>"
|
|
]
|
|
},
|
|
"metadata": {},
|
|
"output_type": "display_data"
|
|
}
|
|
],
|
|
"source": [
|
|
"sim.input[\"al\"] = 0.0\n",
|
|
"sim.input[\"ti\"] = 0.0\n",
|
|
"sim.input[\"density\"] = 1.0569013636039\n",
|
|
"sim.compute()\n",
|
|
"sim.print_state()\n",
|
|
"display(sim.output[\"temp\"])\n",
|
|
"temp.view(sim=sim)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 623,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/html": [
|
|
"<div>\n",
|
|
"<style scoped>\n",
|
|
" .dataframe tbody tr th:only-of-type {\n",
|
|
" vertical-align: middle;\n",
|
|
" }\n",
|
|
"\n",
|
|
" .dataframe tbody tr th {\n",
|
|
" vertical-align: top;\n",
|
|
" }\n",
|
|
"\n",
|
|
" .dataframe thead th {\n",
|
|
" text-align: right;\n",
|
|
" }\n",
|
|
"</style>\n",
|
|
"<table border=\"1\" class=\"dataframe\">\n",
|
|
" <thead>\n",
|
|
" <tr style=\"text-align: right;\">\n",
|
|
" <th></th>\n",
|
|
" <th>T</th>\n",
|
|
" <th>Al2O3</th>\n",
|
|
" <th>TiO2</th>\n",
|
|
" <th>Density</th>\n",
|
|
" <th>Real</th>\n",
|
|
" <th>Inferred</th>\n",
|
|
" <th>RMSE</th>\n",
|
|
" </tr>\n",
|
|
" </thead>\n",
|
|
" <tbody>\n",
|
|
" <tr>\n",
|
|
" <th>0</th>\n",
|
|
" <td>20</td>\n",
|
|
" <td>0.00</td>\n",
|
|
" <td>0.0</td>\n",
|
|
" <td>1.06250</td>\n",
|
|
" <td>20</td>\n",
|
|
" <td>48.578230</td>\n",
|
|
" <td>28.578</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>1</th>\n",
|
|
" <td>25</td>\n",
|
|
" <td>0.00</td>\n",
|
|
" <td>0.0</td>\n",
|
|
" <td>1.05979</td>\n",
|
|
" <td>25</td>\n",
|
|
" <td>48.663659</td>\n",
|
|
" <td>23.664</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>2</th>\n",
|
|
" <td>35</td>\n",
|
|
" <td>0.00</td>\n",
|
|
" <td>0.0</td>\n",
|
|
" <td>1.05404</td>\n",
|
|
" <td>35</td>\n",
|
|
" <td>48.817616</td>\n",
|
|
" <td>13.818</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>3</th>\n",
|
|
" <td>40</td>\n",
|
|
" <td>0.00</td>\n",
|
|
" <td>0.0</td>\n",
|
|
" <td>1.05103</td>\n",
|
|
" <td>40</td>\n",
|
|
" <td>48.884597</td>\n",
|
|
" <td>8.885</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>4</th>\n",
|
|
" <td>45</td>\n",
|
|
" <td>0.00</td>\n",
|
|
" <td>0.0</td>\n",
|
|
" <td>1.04794</td>\n",
|
|
" <td>45</td>\n",
|
|
" <td>48.944177</td>\n",
|
|
" <td>3.944</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>5</th>\n",
|
|
" <td>50</td>\n",
|
|
" <td>0.00</td>\n",
|
|
" <td>0.0</td>\n",
|
|
" <td>1.04477</td>\n",
|
|
" <td>50</td>\n",
|
|
" <td>48.995860</td>\n",
|
|
" <td>1.004</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>6</th>\n",
|
|
" <td>60</td>\n",
|
|
" <td>0.00</td>\n",
|
|
" <td>0.0</td>\n",
|
|
" <td>1.03826</td>\n",
|
|
" <td>60</td>\n",
|
|
" <td>49.072119</td>\n",
|
|
" <td>10.928</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>7</th>\n",
|
|
" <td>65</td>\n",
|
|
" <td>0.00</td>\n",
|
|
" <td>0.0</td>\n",
|
|
" <td>1.03484</td>\n",
|
|
" <td>65</td>\n",
|
|
" <td>49.095671</td>\n",
|
|
" <td>15.904</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>8</th>\n",
|
|
" <td>70</td>\n",
|
|
" <td>0.00</td>\n",
|
|
" <td>0.0</td>\n",
|
|
" <td>1.03182</td>\n",
|
|
" <td>70</td>\n",
|
|
" <td>49.106525</td>\n",
|
|
" <td>20.893</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>9</th>\n",
|
|
" <td>20</td>\n",
|
|
" <td>0.05</td>\n",
|
|
" <td>0.0</td>\n",
|
|
" <td>1.08755</td>\n",
|
|
" <td>20</td>\n",
|
|
" <td>46.745977</td>\n",
|
|
" <td>26.746</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>10</th>\n",
|
|
" <td>45</td>\n",
|
|
" <td>0.05</td>\n",
|
|
" <td>0.0</td>\n",
|
|
" <td>1.07105</td>\n",
|
|
" <td>45</td>\n",
|
|
" <td>48.466565</td>\n",
|
|
" <td>3.467</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>11</th>\n",
|
|
" <td>50</td>\n",
|
|
" <td>0.05</td>\n",
|
|
" <td>0.0</td>\n",
|
|
" <td>1.06760</td>\n",
|
|
" <td>50</td>\n",
|
|
" <td>48.734477</td>\n",
|
|
" <td>1.266</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>12</th>\n",
|
|
" <td>55</td>\n",
|
|
" <td>0.05</td>\n",
|
|
" <td>0.0</td>\n",
|
|
" <td>1.06409</td>\n",
|
|
" <td>55</td>\n",
|
|
" <td>48.982062</td>\n",
|
|
" <td>6.018</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>13</th>\n",
|
|
" <td>65</td>\n",
|
|
" <td>0.05</td>\n",
|
|
" <td>0.0</td>\n",
|
|
" <td>1.05691</td>\n",
|
|
" <td>65</td>\n",
|
|
" <td>49.413311</td>\n",
|
|
" <td>15.587</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>14</th>\n",
|
|
" <td>70</td>\n",
|
|
" <td>0.05</td>\n",
|
|
" <td>0.0</td>\n",
|
|
" <td>1.05291</td>\n",
|
|
" <td>70</td>\n",
|
|
" <td>49.610931</td>\n",
|
|
" <td>20.389</td>\n",
|
|
" </tr>\n",
|
|
" </tbody>\n",
|
|
"</table>\n",
|
|
"</div>"
|
|
],
|
|
"text/plain": [
|
|
" T Al2O3 TiO2 Density Real Inferred RMSE\n",
|
|
"0 20 0.00 0.0 1.06250 20 48.578230 28.578\n",
|
|
"1 25 0.00 0.0 1.05979 25 48.663659 23.664\n",
|
|
"2 35 0.00 0.0 1.05404 35 48.817616 13.818\n",
|
|
"3 40 0.00 0.0 1.05103 40 48.884597 8.885\n",
|
|
"4 45 0.00 0.0 1.04794 45 48.944177 3.944\n",
|
|
"5 50 0.00 0.0 1.04477 50 48.995860 1.004\n",
|
|
"6 60 0.00 0.0 1.03826 60 49.072119 10.928\n",
|
|
"7 65 0.00 0.0 1.03484 65 49.095671 15.904\n",
|
|
"8 70 0.00 0.0 1.03182 70 49.106525 20.893\n",
|
|
"9 20 0.05 0.0 1.08755 20 46.745977 26.746\n",
|
|
"10 45 0.05 0.0 1.07105 45 48.466565 3.467\n",
|
|
"11 50 0.05 0.0 1.06760 50 48.734477 1.266\n",
|
|
"12 55 0.05 0.0 1.06409 55 48.982062 6.018\n",
|
|
"13 65 0.05 0.0 1.05691 65 49.413311 15.587\n",
|
|
"14 70 0.05 0.0 1.05291 70 49.610931 20.389"
|
|
]
|
|
},
|
|
"execution_count": 623,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"from sklearn import metrics\n",
|
|
"import math\n",
|
|
"\n",
|
|
"\n",
|
|
"def fuzzy_pred(row):\n",
|
|
" sim.input[\"al\"] = row[\"Al2O3\"]\n",
|
|
" sim.input[\"ti\"] = row[\"TiO2\"]\n",
|
|
" sim.input[\"density\"] = row[\"Density\"]\n",
|
|
" sim.compute()\n",
|
|
" return sim.output[\"temp\"]\n",
|
|
"\n",
|
|
"\n",
|
|
"def rmse(row):\n",
|
|
" return math.sqrt(metrics.mean_squared_error([row[\"Real\"]], [row[\"Inferred\"]]))\n",
|
|
"\n",
|
|
"\n",
|
|
"result_train = train.copy()\n",
|
|
"result_train[\"Real\"] = result_train[\"T\"]\n",
|
|
"result_train[\"Inferred\"] = result_train.apply(fuzzy_pred, axis=1)\n",
|
|
"result_train[\"RMSE\"] = result_train.apply(rmse, axis=1)\n",
|
|
"result_train = result_train.round({\"RMSE\": 3})\n",
|
|
"result_train.head(15)"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 624,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"text/html": [
|
|
"<div>\n",
|
|
"<style scoped>\n",
|
|
" .dataframe tbody tr th:only-of-type {\n",
|
|
" vertical-align: middle;\n",
|
|
" }\n",
|
|
"\n",
|
|
" .dataframe tbody tr th {\n",
|
|
" vertical-align: top;\n",
|
|
" }\n",
|
|
"\n",
|
|
" .dataframe thead th {\n",
|
|
" text-align: right;\n",
|
|
" }\n",
|
|
"</style>\n",
|
|
"<table border=\"1\" class=\"dataframe\">\n",
|
|
" <thead>\n",
|
|
" <tr style=\"text-align: right;\">\n",
|
|
" <th></th>\n",
|
|
" <th>T</th>\n",
|
|
" <th>Al2O3</th>\n",
|
|
" <th>TiO2</th>\n",
|
|
" <th>Density</th>\n",
|
|
" <th>Real</th>\n",
|
|
" <th>Inferred</th>\n",
|
|
" <th>RMSE</th>\n",
|
|
" </tr>\n",
|
|
" </thead>\n",
|
|
" <tbody>\n",
|
|
" <tr>\n",
|
|
" <th>0</th>\n",
|
|
" <td>30</td>\n",
|
|
" <td>0.00</td>\n",
|
|
" <td>0.00</td>\n",
|
|
" <td>1.05696</td>\n",
|
|
" <td>30</td>\n",
|
|
" <td>48.743861</td>\n",
|
|
" <td>18.744</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>1</th>\n",
|
|
" <td>55</td>\n",
|
|
" <td>0.00</td>\n",
|
|
" <td>0.00</td>\n",
|
|
" <td>1.04158</td>\n",
|
|
" <td>55</td>\n",
|
|
" <td>49.038283</td>\n",
|
|
" <td>5.962</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>2</th>\n",
|
|
" <td>25</td>\n",
|
|
" <td>0.05</td>\n",
|
|
" <td>0.00</td>\n",
|
|
" <td>1.08438</td>\n",
|
|
" <td>25</td>\n",
|
|
" <td>47.071528</td>\n",
|
|
" <td>22.072</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>3</th>\n",
|
|
" <td>30</td>\n",
|
|
" <td>0.05</td>\n",
|
|
" <td>0.00</td>\n",
|
|
" <td>1.08112</td>\n",
|
|
" <td>30</td>\n",
|
|
" <td>47.438791</td>\n",
|
|
" <td>17.439</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>4</th>\n",
|
|
" <td>35</td>\n",
|
|
" <td>0.05</td>\n",
|
|
" <td>0.00</td>\n",
|
|
" <td>1.07781</td>\n",
|
|
" <td>35</td>\n",
|
|
" <td>47.847389</td>\n",
|
|
" <td>12.847</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>5</th>\n",
|
|
" <td>40</td>\n",
|
|
" <td>0.05</td>\n",
|
|
" <td>0.00</td>\n",
|
|
" <td>1.07446</td>\n",
|
|
" <td>40</td>\n",
|
|
" <td>48.176765</td>\n",
|
|
" <td>8.177</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>6</th>\n",
|
|
" <td>60</td>\n",
|
|
" <td>0.05</td>\n",
|
|
" <td>0.00</td>\n",
|
|
" <td>1.06053</td>\n",
|
|
" <td>60</td>\n",
|
|
" <td>49.208303</td>\n",
|
|
" <td>10.792</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>7</th>\n",
|
|
" <td>35</td>\n",
|
|
" <td>0.30</td>\n",
|
|
" <td>0.00</td>\n",
|
|
" <td>1.17459</td>\n",
|
|
" <td>35</td>\n",
|
|
" <td>41.592699</td>\n",
|
|
" <td>6.593</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>8</th>\n",
|
|
" <td>65</td>\n",
|
|
" <td>0.30</td>\n",
|
|
" <td>0.00</td>\n",
|
|
" <td>1.14812</td>\n",
|
|
" <td>65</td>\n",
|
|
" <td>41.072496</td>\n",
|
|
" <td>23.928</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>9</th>\n",
|
|
" <td>45</td>\n",
|
|
" <td>0.00</td>\n",
|
|
" <td>0.05</td>\n",
|
|
" <td>1.07424</td>\n",
|
|
" <td>45</td>\n",
|
|
" <td>48.196237</td>\n",
|
|
" <td>3.196</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>10</th>\n",
|
|
" <td>50</td>\n",
|
|
" <td>0.00</td>\n",
|
|
" <td>0.05</td>\n",
|
|
" <td>1.07075</td>\n",
|
|
" <td>50</td>\n",
|
|
" <td>48.490854</td>\n",
|
|
" <td>1.509</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>11</th>\n",
|
|
" <td>55</td>\n",
|
|
" <td>0.00</td>\n",
|
|
" <td>0.05</td>\n",
|
|
" <td>1.06721</td>\n",
|
|
" <td>55</td>\n",
|
|
" <td>48.763213</td>\n",
|
|
" <td>6.237</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>12</th>\n",
|
|
" <td>20</td>\n",
|
|
" <td>0.00</td>\n",
|
|
" <td>0.30</td>\n",
|
|
" <td>1.22417</td>\n",
|
|
" <td>20</td>\n",
|
|
" <td>28.316733</td>\n",
|
|
" <td>8.317</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>13</th>\n",
|
|
" <td>30</td>\n",
|
|
" <td>0.00</td>\n",
|
|
" <td>0.30</td>\n",
|
|
" <td>1.21310</td>\n",
|
|
" <td>30</td>\n",
|
|
" <td>31.499486</td>\n",
|
|
" <td>1.499</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>14</th>\n",
|
|
" <td>40</td>\n",
|
|
" <td>0.00</td>\n",
|
|
" <td>0.30</td>\n",
|
|
" <td>1.20265</td>\n",
|
|
" <td>40</td>\n",
|
|
" <td>35.558869</td>\n",
|
|
" <td>4.441</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>15</th>\n",
|
|
" <td>60</td>\n",
|
|
" <td>0.00</td>\n",
|
|
" <td>0.30</td>\n",
|
|
" <td>1.18265</td>\n",
|
|
" <td>60</td>\n",
|
|
" <td>40.318361</td>\n",
|
|
" <td>19.682</td>\n",
|
|
" </tr>\n",
|
|
" <tr>\n",
|
|
" <th>16</th>\n",
|
|
" <td>70</td>\n",
|
|
" <td>0.00</td>\n",
|
|
" <td>0.30</td>\n",
|
|
" <td>1.17261</td>\n",
|
|
" <td>70</td>\n",
|
|
" <td>41.865677</td>\n",
|
|
" <td>28.134</td>\n",
|
|
" </tr>\n",
|
|
" </tbody>\n",
|
|
"</table>\n",
|
|
"</div>"
|
|
],
|
|
"text/plain": [
|
|
" T Al2O3 TiO2 Density Real Inferred RMSE\n",
|
|
"0 30 0.00 0.00 1.05696 30 48.743861 18.744\n",
|
|
"1 55 0.00 0.00 1.04158 55 49.038283 5.962\n",
|
|
"2 25 0.05 0.00 1.08438 25 47.071528 22.072\n",
|
|
"3 30 0.05 0.00 1.08112 30 47.438791 17.439\n",
|
|
"4 35 0.05 0.00 1.07781 35 47.847389 12.847\n",
|
|
"5 40 0.05 0.00 1.07446 40 48.176765 8.177\n",
|
|
"6 60 0.05 0.00 1.06053 60 49.208303 10.792\n",
|
|
"7 35 0.30 0.00 1.17459 35 41.592699 6.593\n",
|
|
"8 65 0.30 0.00 1.14812 65 41.072496 23.928\n",
|
|
"9 45 0.00 0.05 1.07424 45 48.196237 3.196\n",
|
|
"10 50 0.00 0.05 1.07075 50 48.490854 1.509\n",
|
|
"11 55 0.00 0.05 1.06721 55 48.763213 6.237\n",
|
|
"12 20 0.00 0.30 1.22417 20 28.316733 8.317\n",
|
|
"13 30 0.00 0.30 1.21310 30 31.499486 1.499\n",
|
|
"14 40 0.00 0.30 1.20265 40 35.558869 4.441\n",
|
|
"15 60 0.00 0.30 1.18265 60 40.318361 19.682\n",
|
|
"16 70 0.00 0.30 1.17261 70 41.865677 28.134"
|
|
]
|
|
},
|
|
"execution_count": 624,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"result_test = test.copy()\n",
|
|
"result_test[\"Real\"] = result_test[\"T\"]\n",
|
|
"result_test[\"Inferred\"] = result_test.apply(fuzzy_pred, axis=1)\n",
|
|
"result_test[\"RMSE\"] = result_test.apply(rmse, axis=1)\n",
|
|
"result_test = result_test.round({\"RMSE\": 3})\n",
|
|
"result_test"
|
|
]
|
|
},
|
|
{
|
|
"cell_type": "code",
|
|
"execution_count": 625,
|
|
"metadata": {},
|
|
"outputs": [
|
|
{
|
|
"data": {
|
|
"image/png": 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VQUePHtWECRN05MgRxcXFqXfv3tq4caNGjhwpSTp8+LAiIv53cWnIkCHKycnRgw8+qAceeEBdunTRmjVrlJKSEthRAGiQ8vLydMkll7jeV/yWZ+LEicrOzta9996r0tJS/eEPf9CxY8d04YUXasOGDYqKigpWyAAAIAz4VAT97W9/q3J5bm5upbZx48Zp3LhxPgUFAJI0fPhwGYbhdbnFYtHDDz+shx9+uB6jAgAA4a7WvwkCAAAAgHBCEQQAAADAVCiCAAAAAJgKRRAAAAAAU6EIAgAAAGAqFEEAAAAATIUiCAAAAICpUAQBAAAAMBWKIAAAAACmQhEEAAAAwFQoggAAAACYCkUQAAAAAFOhCAIAADhDeXm5ZsyYoeTkZDVt2lTnnnuu5syZI8Mwgh0agABoHOwAAAAAQs2jjz6qxYsX6+9//7t69uypvLw8TZo0SXFxcbrzzjuDHR6AWqIIAgAAOMOOHTt01VVXacyYMZKkTp066dVXX9Xu3buDHBmAQKAIAgAAOMOQIUO0dOlSffrppzrvvPP04Ycfavv27XryySc99rfb7bLb7a73JSUlkiSHwyGHw+F1PxXLrBGev2ZX1boNRcUYzTDWqpCHmucgEDmiCAIAADjD/fffr5KSEnXr1k2NGjVSeXm5HnnkEd14440e+2dlZWn27NmV2jdt2qTo6Ohq9zdngNNj+/r1630LPIzZbLZghxASyEP1OSgrK6v1PiiCAAAAzvDaa69p+fLlysnJUc+ePZWfn6+pU6eqbdu2mjhxYqX+06dPV2Zmput9SUmJkpKSNGrUKMXGxnrdj8PhkM1m04y8CNmdlkrLC2alBWZAIawiByNHjlRkZGSwwwka8lDzHFRcaa0NiiAAAIAzTJs2Tffff7+uv/56SVKvXr309ddfKysry2MRZLVaZbVaK7VHRkbW6ITW7rTIXl65CDLTyXBNc9XQkYfqcxCI/HCLbAAAgDOUlZUpIsL9NKlRo0ZyOj1/bQ1AeOFKEAAAwBnGjh2rRx55RB06dFDPnj21b98+Pfnkk7rllluCHRqAAKAIAgAAOMPTTz+tGTNm6I477tDRo0fVtm1b/fGPf9RDDz0U7NAABABFEAAAwBliYmK0cOFCLVy4MNihAKgDPv0mKCsrSwMHDlRMTIzi4+OVnp6ugwcPVrlOdna2LBaL2ysqKqpWQQMAAACAv3wqgrZu3aqMjAzt2rVLNptNDodDo0aNUmlpaZXrxcbG6siRI67X119/XaugAQAAAMBfPn0dbsOGDW7vs7OzFR8fr7179+riiy/2up7FYlFiYqJ/EQIAAABAANXqN0HFxcWSpJYtW1bZ78SJE+rYsaOcTqf69eunuXPnqmfPnl772+122e121/uKByI5HA45HA6v61Usq6pPMFkbGR7bgx1vqOctVDWEvIVz7AAAAP7yuwhyOp2aOnWqhg4dqpSUFK/9unbtqhdffFG9e/dWcXGxnnjiCQ0ZMkQHDhxQ+/btPa6TlZWl2bNnV2rftGmToqOjq43NZrPVfCD16LFBntvXr19fv4F4Eap5C3XhnLeysrJghwAAAFDv/C6CMjIyVFBQoO3bt1fZLzU1Vampqa73Q4YMUffu3fXcc89pzpw5HteZPn26MjMzXe9LSkqUlJSkUaNGKTY21uu+HA6HbDabRo4cGZJP2k2ZtdFje8GstHqOxF2o5y1UNYS8VVxlBQAAMBO/iqApU6borbfe0rZt27xezfEmMjJSffv21eeff+61j9VqldVq9bhuTU42a9qvvtnLLR7bQyXWUM1bqAvnvIVr3AAAALXh093hDMPQlClTtHr1am3ZskXJyck+77C8vFz79+9XmzZtfF4XAE5XXl6uGTNmKDk5WU2bNtW5556rOXPmyDA8//4OAABA8vFKUEZGhnJycrR27VrFxMSosLBQkhQXF6emTZtKkiZMmKB27dopKytLkvTwww/rggsuUOfOnXXs2DE9/vjj+vrrr3XbbbcFeCgAzObRRx/V4sWL9fe//109e/ZUXl6eJk2apLi4ON15553BDg8AAIQon4qgxYsXS5KGDx/u1r5s2TLdfPPNkqTDhw8rIuJ/F5h++uknTZ48WYWFhWrRooX69++vHTt2qEePHrWLHIDp7dixQ1dddZXGjBkjSerUqZNeffVV7d69O8iRAQCAUOZTEVSTr5jk5ua6vV+wYIEWLFjgU1AAUBNDhgzR0qVL9emnn+q8887Thx9+qO3bt+vJJ5/0uo4/t+CvaLdGhOZt7utLQ7gtfG2Rg5rnwMw5AhD6avWcIAAIpvvvv18lJSXq1q2bGjVqpPLycj3yyCO68cYbva5Tm1vwzxng9NgeKre5ry/hfFv4QCEH1eeAW/ADCGUUQQDC1muvvably5crJydHPXv2VH5+vqZOnaq2bdtq4sSJHtfx5xb8FbdDn5EXIbuz8l0eg32b+/rSEG4LX1vkoOY54Bb8AEIZRRCAsDVt2jTdf//9uv766yVJvXr10tdff62srCyvRVBtbsFvd1o83urebCfD4Xxb+EAhB9XnwOz5ARDafLpFNgCEkrKyMrcbsUhSo0aN5HR6/toaAACAxJUgAGFs7NixeuSRR9ShQwf17NlT+/bt05NPPqlbbrkl2KEBAIAQRhEEIGw9/fTTmjFjhu644w4dPXpUbdu21R//+Ec99NBDwQ4NAACEMIogAGErJiZGCxcu1MKFC4MdCgAACCP8JggAAACAqVAEAQAAADAViiAAAAAApkIRBAAAAMBUKIIAAAAAmApFEAAAAABToQgCAAAAYCoUQQAAAABMhSIIAAAAgKlQBAEAAAAwFYogAAAAAKZCEQQAAADAVCiCAAAAAJgKRRAAAAAAU6EIAgAAAGAqFEEAAAAATMWnIigrK0sDBw5UTEyM4uPjlZ6eroMHD1a73qpVq9StWzdFRUWpV69eWr9+vd8BAwAA1Idvv/1Wv//973X22WeradOm6tWrl/Ly8oIdFoAA8KkI2rp1qzIyMrRr1y7ZbDY5HA6NGjVKpaWlXtfZsWOHbrjhBt16663at2+f0tPTlZ6eroKCgloHDwAAUBd++uknDR06VJGRkXrnnXf00Ucfaf78+WrRokWwQwMQAI196bxhwwa399nZ2YqPj9fevXt18cUXe1znqaee0uWXX65p06ZJkubMmSObzaZnnnlGS5Ys8TNsAACAuvPoo48qKSlJy5Ytc7UlJycHMSIAgeRTEXSm4uJiSVLLli299tm5c6cyMzPd2tLS0rRmzRqv69jtdtntdtf7kpISSZLD4ZDD4fC6XsWyqvoEk7WR4bE92PGGet5CVUPIWzjHDgB1ad26dUpLS9O4ceO0detWtWvXTnfccYcmT57ssX9tz12sEaF5jlAfGsJ/TwOBPNQ8B4HIkd9FkNPp1NSpUzV06FClpKR47VdYWKiEhAS3toSEBBUWFnpdJysrS7Nnz67UvmnTJkVHR1cbm81mq7ZPMDw2yHN7qPxGKlTzFurCOW9lZWXBDgEAQtKXX36pxYsXKzMzUw888ID27NmjO++8U02aNNHEiRMr9a/tucucAU6P7aFyjlAfwvm/p4FEHqrPQSDOX/wugjIyMlRQUKDt27fXOogzTZ8+3e3qUUlJiZKSkjRq1CjFxsZ6Xc/hcMhms2nkyJGKjIwMeFy1lTJro8f2gllpAduWP9uryNuMvAjZnZZaxxbqAnUcqsqbP9sLhop/qQQAuHM6nRowYIDmzp0rSerbt68KCgq0ZMkSj0VQbc9dwvm/JbUV6udv9YU81DwHgTh/8asImjJlit566y1t27ZN7du3r7JvYmKiioqK3NqKioqUmJjodR2r1Sqr1VqpPTIyskYfipr2q2/28sqTmyS/YvW2LX+3J0l2p6XSdkMxj7UVyOMgec5bbbZXn8IhRgAIhjZt2qhHjx5ubd27d9cbb7zhsX9tz13C+b8lgRKq52/1jTxUn4NA5Menu8MZhqEpU6Zo9erV2rJlS41+IJiamqrNmze7tdlsNqWmpvoWKQAAQD0ZOnRopceAfPrpp+rYsWOQIgIQSD5dCcrIyFBOTo7Wrl2rmJgY1+964uLi1LRpU0nShAkT1K5dO2VlZUmS7rrrLg0bNkzz58/XmDFjtGLFCuXl5Wnp0qUBHgoAAEBg3H333RoyZIjmzp2ra6+9Vrt379bSpUs5fwEaCJ+uBC1evFjFxcUaPny42rRp43qtXLnS1efw4cM6cuSI6/2QIUOUk5OjpUuXqk+fPnr99de1Zs2aKm+mAAAAEEwDBw7U6tWr9eqrryolJUVz5szRwoULdeONNwY7NAAB4NOVIMPwfPvG0+Xm5lZqGzdunMaNG+fLrgAAAILqyiuv1JVXXhnsMADUAZ+uBAEAAABAuKMIAgAAAGAqFEEAAAAATIUiCEBY+/bbb/X73/9eZ599tpo2bapevXopLy8v2GEBAIAQ5tfDUgEgFPz0008aOnSoLrnkEr3zzjtq3bq1PvvsM7Vo0SLYoQEAgBBGEQQgbD366KNKSkrSsmXLXG01eYgzAAAwN4ogAGFr3bp1SktL07hx47R161a1a9dOd9xxhyZPnux1HbvdLrvd7npfUlIiSXI4HHI4HB7XqWi3Rnh+TIC39RqainGaZbyekIOa58DMOQIQ+iiCAIStL7/8UosXL1ZmZqYeeOAB7dmzR3feeaeaNGmiiRMnelwnKytLs2fPrtS+adMmRUdHV7m/OQOcHtvXr1/ve/BhzGazBTuEoCMH1eegrKysniIBAN9RBAEIW06nUwMGDNDcuXMlSX379lVBQYGWLFnitQiaPn26MjMzXe9LSkqUlJSkUaNGKTY21uM6DodDNptNM/IiZHdaKi0vmJUWgNGEvoo8jBw5UpGRkcEOJyjIQc1zUHGVFQBCEUUQgLDVpk0b9ejRw62te/fueuONN7yuY7VaZbVaK7VHRkZWe1Jrd1pkL69cBJntZLgmuWroyEH1OTB7fgCENm6RDSBsDR06VAcPHnRr+/TTT9WxY8cgRQQAAMIBRRCAsHX33Xdr165dmjt3rj7//HPl5ORo6dKlysjICHZoAAAghFEEAQhbAwcO1OrVq/Xqq68qJSVFc+bM0cKFC3XjjTcGOzQAABDC+E0QgLB25ZVX6sorrwx2GAAAIIxwJQgAAACAqVAEAQAAADAVvg4HAAAAoN50uv9tj+3WRoYeG1Q/MXAlCAAAAICpUAQBAAAAMBWKIAAAAACmQhEEAAAAwFQoggAAAACYCkUQAAAAAFPxuQjatm2bxo4dq7Zt28pisWjNmjVV9s/NzZXFYqn0Kiws9DdmAAAAAPCbz0VQaWmp+vTpo0WLFvm03sGDB3XkyBHXKz4+3tddAwAAAECt+fyw1NGjR2v06NE+7yg+Pl7Nmzf3eT0AAAAACCSfiyB/nX/++bLb7UpJSdGsWbM0dOhQr33tdrvsdrvrfUlJiSTJ4XDI4XB4Xa9iWVV9gsnayPDY7k+83rblz/Yq+lsjKm8zVHNZG4E6DlXlzZ/tBUM4xAgAABBodV4EtWnTRkuWLNGAAQNkt9v1wgsvaPjw4Xr//ffVr18/j+tkZWVp9uzZldo3bdqk6Ojoavdps9lqHXddeGyQ5/b169cHbFv+bk+S5gxwBmxboSyQx0HynLfabK8+lZWVBTsE+KDT/W97XfbVvDH1GAkAAOGtzougrl27qmvXrq73Q4YM0RdffKEFCxbo5Zdf9rjO9OnTlZmZ6XpfUlKipKQkjRo1SrGxsV735XA4ZLPZNHLkSEVGRgZuEAGSMmujx/aCWWkB25Y/26vI24y8CNmdllrHFuoCdRyqyps/2wuGiqusAAAAZlJvX4c73aBBg7R9+3avy61Wq6xWa6X2yMjIGhU3Ne1X3+zllU+UJfkVq7dt+bs9SbI7LZW2G4p5rK1AHgfJc95qs736FA4xAgAABFpQnhOUn5+vNm3aBGPXAAAAAEzO5ytBJ06c0Oeff+56f+jQIeXn56tly5bq0KGDpk+frm+//VYvvfSSJGnhwoVKTk5Wz549derUKb3wwgvasmWLNm3aFLhRAAAAAEAN+VwE5eXl6ZJLLnG9r/jtzsSJE5Wdna0jR47o8OHDruU///yz/vKXv+jbb79VdHS0evfurX/+859u2wAAAACA+uJzETR8+HAZhvfbM2dnZ7u9v/fee3Xvvff6HBgAAAAA1IWg/CYIAAAgnMybN08Wi0VTp04NdigAAoAiCAAAoAp79uzRc889p969ewc7FAABQhEEAADgxYkTJ3TjjTfq+eefV4sWLYIdDoAAoQgCAADwIiMjQ2PGjNGIESOCHQqAAArKw1IBAABC3YoVK/TBBx9oz5491fa12+2y2+2u9yUlJZIkh8Mhh8Phdb2KZdYIzzedqmrdhqJijGYYa1XMlAdrI8+f94q/g+pyEIgcUQQBAACc4ZtvvtFdd90lm82mqKioavtnZWVp9uzZldo3bdqk6OjoatefM8DpsX39+vXVB9tA2Gy2YIcQEsyQh8cGVb28uhyUlZXVOgaKIAAAgDPs3btXR48eVb9+/Vxt5eXl2rZtm5555hnZ7XY1atTItWz69OmuZydKv14JSkpK0qhRoxQbG+t1Pw6HQzabTTPyImR3WiotL5iVFqARha6KHIwcOVKRkZHBDidozJSHlFkbPbZbIwzNGeCsNgcVV1prgyIIAADgDJdddpn279/v1jZp0iR169ZN9913n1sBJElWq1VWq7XSdiIjI2t0Qmt3WmQvr1wENfST4dPVNFcNnRny4OmzfrrqchCI/FAEAQAAnCEmJkYpKSlubWeddZbOPvvsSu0Awg93hwPQYPAwQwAAUBNcCQLQIPAwQwB1LTc3N9ghAAgQrgQBCHs8zBAAAPiCIghA2ONhhgAAwBd8HQ5AWPPlYYaSfw80DJWHGXp7uFx9xWCmB/l5Qw5qngMz5whA6KMIAhC2fH2YoVS7BxoG+2GGVT1crj4fqGiGB/lVhxzUz8MMAaCuUAQBCFu+PsxQ8u+BhqHyMENvD5errxjM9CA/b8hBzXMQiIcZAkBdoQgCELZ8fZihVLsHGgb7YYZVPVyuPk/IzfAgv+qQg/p5mCEA1BWKIABhi4cZAgAAf3B3OAAAAACmwpUgAA0KDzMEAADV4UoQAAAAAFOhCAIAAABgKhRBAAAAAEzF5yJo27ZtGjt2rNq2bSuLxaI1a9ZUu05ubq769esnq9Wqzp07Kzs7249QAQAAAKD2fC6CSktL1adPHy1atKhG/Q8dOqQxY8bokksuUX5+vqZOnarbbrtNGzd6f+gfAAAAANQVn+8ON3r0aI0ePbrG/ZcsWaLk5GTNnz9fktS9e3dt375dCxYsUFpa/TxlHQAAAAAq1Pktsnfu3KkRI0a4taWlpWnq1Kle17Hb7bLb7a73JSUlkiSHwyGHw+F1vYplVfUJJmsjw2O7P/F625Y/26vob42ovM1QzWVtBOo4VJU3f7YXDOEQIwAAQKDVeRFUWFiohIQEt7aEhASVlJTo5MmTatq0aaV1srKyNHv27ErtmzZtUnR0dLX7tNls/gdchx4b5Ll9/fr1AduWv9uTpDkDnAHbVigL5HGQPOetNturT2VlZcEOAQAQAjrd/7bH9q/mjannSID6EZIPS50+fboyMzNd70tKSpSUlKRRo0YpNjbW63oOh0M2m00z8iJkd1rclhXM8v2rdymzvP9uKZDbC3ZsZspbILdXVd78jc+f2GoznoqrrAAAAGZS50VQYmKiioqK3NqKiooUGxvr8SqQJFmtVlmt1krtkZGRioyMrHafdqdF9nL3k9KarFdpO+WVT2zrYnuhEJtkjrzVyfY85M3f7fkTW23G4++YAQAAwlmdPycoNTVVmzdvdmuz2WxKTU2t610DAAAAQCU+F0EnTpxQfn6+8vPzJf16C+z8/HwdPnxY0q9fZZswYYKr/+23364vv/xS9957rz755BM9++yzeu2113T33XcHZgQAAAAA4AOfi6C8vDz17dtXffv2lSRlZmaqb9++euihhyRJR44ccRVEkpScnKy3335bNptNffr00fz58/XCCy9we2wAAAAAQeHzb4KGDx8uw/B+e+bs7GyP6+zbt8/XXQEAAABAwNX5b4IAAAAAIJRQBAEAAAAwFYogAAAAAKZCEQQAAADAVCiCAAAAAJgKRRAAAAAAU6EIAgAAAGAqFEEAAAAATIUiCAAAAICpUAQBAAAAMBWKIAAAAACmQhEEAABwhqysLA0cOFAxMTGKj49Xenq6Dh48GOywAAQIRRAAAMAZtm7dqoyMDO3atUs2m00Oh0OjRo1SaWlpsEMDEACNgx0AAABAqNmwYYPb++zsbMXHx2vv3r26+OKLgxQVgEDhShAAAEA1iouLJUktW7YMciQAAoErQQAAAFVwOp2aOnWqhg4dqpSUFI997Ha77Ha7631JSYkkyeFwyOFweN12xTJrhFHl8rpmbRS8/Vfso77GGqrMlAdvn7eKv4PqchCIHFEEAQhbWVlZevPNN/XJJ5+oadOmGjJkiB599FF17do12KEBaEAyMjJUUFCg7du3e+2TlZWl2bNnV2rftGmToqOjq93HnAFOj+3r16+veaC18Nggz+31tX9Jstls9bavUGaGPHj7vFWoLgdlZWW1joEiCEDYqvjh8sCBA/XLL7/ogQce0KhRo/TRRx/prLPOCnZ4ABqAKVOm6K233tK2bdvUvn17r/2mT5+uzMxM1/uSkhIlJSVp1KhRio2N9bqew+GQzWbTjLwI2Z2WSssLZqXVbgA1lDJro8f2+th/RQ5GjhypyMjIOt9fqDJTHrx93qwRhuYMcFabg4orrbVBEQQgbPHDZQB1xTAM/fnPf9bq1auVm5ur5OTkKvtbrVZZrdZK7ZGRkTU6obU7LbKXVy6C6utk2NO+63P/Fftq6Cf/NWGGPHj7vFWoLgeByA9FEIAGoyY/XPbne/uh/p39+orBTN9X94Yc1DwH4Z6jjIwM5eTkaO3atYqJiVFhYaEkKS4uTk2bNg1ydABqiyIIQINQkx8uS7X73n6ofme/PmOQzPF99eqQg/r5zn4wLV68WJI0fPhwt/Zly5bp5ptvrv+AAAQURRCABqEmP1yW/Pvefqh/Z7++YjDT99W9MVsOPH3m6vM7+8FkGN6vvAIIfxRBAMJeTX+4LNXue/uh+p39+oyhYl9mKACqYpYcVPeZq+vv7ANAXfHrYamLFi1Sp06dFBUVpcGDB2v37t1e+2ZnZ8tisbi9oqKi/A4YACoYhqEpU6Zo9erV2rJlS7U/XAYAAJD8uBK0cuVKZWZmasmSJRo8eLAWLlyotLQ0HTx4UPHx8R7XiY2N1cGDB13vLZaq7wgBADXBD5cBAIA/fL4S9OSTT2ry5MmaNGmSevTooSVLlig6Olovvvii13UsFosSExNdr4SEhFoFDQDSrz9cLi4u1vDhw9WmTRvXa+XKlcEODQAAhDCfrgT9/PPP2rt3r6ZPn+5qi4iI0IgRI7Rz506v6504cUIdO3aU0+lUv379NHfuXPXs2dNrf39uYVuxXPJ8G1t/btUZ6NvRettesGMzU94Cub26uG2yP7HVZjzhfgtbfrgMAAD84VMR9P3336u8vLzSlZyEhAR98sknHtfp2rWrXnzxRfXu3VvFxcV64oknNGTIEB04cMDrD5hrcwtbyfNtbP25fWygb0frbXuhEJtkjrzVxfYCedtkf2KrzXjC/Ra2AAAA/qjzu8OlpqYqNTXV9X7IkCHq3r27nnvuOc2ZM8fjOv7cwlaq+ja2/tw+NtC3o/W2vWDHZqa8BXJ7dXHbZH9iq814wv0WtgAAAP7wqQhq1aqVGjVqpKKiIrf2oqIiJSYm1mgbkZGR6tu3rz7//HOvfWpzC1vJ821s/blVZ6BvR+tte6EQm2SOvNXJ9gJ422R/YqvNeLiFLQAAMCOfbozQpEkT9e/fX5s3b3a1OZ1Obd682e1qT1XKy8u1f/9+tWnTxrdIAQAAACAAfP46XGZmpiZOnKgBAwZo0KBBWrhwoUpLSzVp0iRJ0oQJE9SuXTtlZWVJkh5++GFdcMEF6ty5s44dO6bHH39cX3/9tW677bbAjgQAAAAAasDnIui6667Tf//7Xz300EMqLCzU+eefrw0bNrhulnD48GFFRPzvAtNPP/2kyZMnq7CwUC1atFD//v21Y8cO9ejRI3CjAAAAAIAa8uvGCFOmTNGUKVM8LsvNzXV7v2DBAi1YsMCf3QAAAABAwPn8sFQAAAAACGcUQQAAAABMhSIIAAAAgKlQBAEAAAAwFYogAAAAAKZCEQQAAADAVCiCAAAAAJgKRRAAAAAAU6EIAgAAAGAqFEEAAAAATIUiCAAAAICpUAQBAAAAMBWKIAAAAACmQhEEAAAAwFQoggAAAACYCkUQAAAAAFOhCAIAAABgKhRBAAAAAEyFIggAAACAqVAEAQAAADAViiAAAAAApkIRBAAAAMBUKIIAAAAAmIpfRdCiRYvUqVMnRUVFafDgwdq9e3eV/VetWqVu3bopKipKvXr10vr16/0KFgA88XVOAoCaYn4BGiafi6CVK1cqMzNTM2fO1AcffKA+ffooLS1NR48e9dh/x44duuGGG3Trrbdq3759Sk9PV3p6ugoKCmodPAD4OicBQE0xvwANl89F0JNPPqnJkydr0qRJ6tGjh5YsWaLo6Gi9+OKLHvs/9dRTuvzyyzVt2jR1795dc+bMUb9+/fTMM8/UOngA8HVOAoCaYn4BGq7GvnT++eeftXfvXk2fPt3VFhERoREjRmjnzp0e19m5c6cyMzPd2tLS0rRmzRqv+7Hb7bLb7a73xcXFkqQff/xRDofD63oOh0NlZWVq7IhQudPituyHH37wup43jX8p9boskNsLdmxmylsgt1dV3vyNz5/YajOe48ePS5IMw6hBdKHHnznJn/mlLo61PwL9t+Wrijz88MMPioyMrPP9hSKz5cDTZ66x01BZmbPaHJhtfqmLcxcp+PMLc0v9MVMevH3e6nV+MXzw7bffGpKMHTt2uLVPmzbNGDRokMd1IiMjjZycHLe2RYsWGfHx8V73M3PmTEMSL1686un1zTff+DIVhAx/5iTmF1686vdllvmFuYUXr/p/1WZ+8elKUH2ZPn2629Ujp9OpH3/8UWeffbYslsr/SlKhpKRESUlJ+uabbxQbG1sfoTYI5M0/DSFvhmHo+PHjatu2bbBDqTf+zC8N4VgHAnkgB1LNc2C2+YVzF/+Rg1+Rh/qdX3wqglq1aqVGjRqpqKjIrb2oqEiJiYke10lMTPSpvyRZrVZZrVa3tubNm9c4ztjYWNN+eGqDvPkn3PMWFxcX7BD85s+cVJv5JdyPdaCQB3Ig1SwHZppfOHepPXLwK/JQP/OLTzdGaNKkifr376/Nmze72pxOpzZv3qzU1FSP66Smprr1lySbzea1PwDUlD9zEgDUBPML0LD5/HW4zMxMTZw4UQMGDNCgQYO0cOFClZaWatKkSZKkCRMmqF27dsrKypIk3XXXXRo2bJjmz5+vMWPGaMWKFcrLy9PSpUsDOxIAplTdnAQA/mJ+ARoun4ug6667Tv/973/10EMPqbCwUOeff742bNighIQESdLhw4cVEfG/C0xDhgxRTk6OHnzwQT3wwAPq0qWL1qxZo5SUlMCN4v9ntVo1c+bMSpejUTXy5h/yFhqqm5MCgWP9K/JADiRz5YD5pX6Qg1+Rh/rNgcUwwvTelQAAAADgB58flgoAAAAA4YwiCAAAAICpUAQBAAAAMBWKIAAAAACmEnZFUFZWlgYOHKiYmBjFx8crPT1dBw8edOtz6tQpZWRk6Oyzz1azZs30u9/9rtLDzsxu3rx5slgsmjp1qquNvHn27bff6ve//73OPvtsNW3aVL169VJeXp5ruWEYeuihh9SmTRs1bdpUI0aM0GeffRbEiOGPRYsWqVOnToqKitLgwYO1e/fuKvuvWrVK3bp1U1RUlHr16qX169fXU6R1x5ccHDhwQL/73e/UqVMnWSwWLVy4sP4CrWO+5OH555/XRRddpBYtWqhFixYaMWJEtZ+dcOBLDt58800NGDBAzZs311lnnaXzzz9fL7/8cj1GG/qYX5hfKjC/hND8YoSZtLQ0Y9myZUZBQYGRn59vXHHFFUaHDh2MEydOuPrcfvvtRlJSkrF582YjLy/PuOCCC4whQ4YEMerQsnv3bqNTp05G7969jbvuusvVTt4q+/HHH42OHTsaN998s/H+++8bX375pbFx40bj888/d/WZN2+eERcXZ6xZs8b48MMPjd/85jdGcnKycfLkySBGDl+sWLHCaNKkifHiiy8aBw4cMCZPnmw0b97cKCoq8tj/vffeMxo1amQ89thjxkcffWQ8+OCDRmRkpLF///56jjxwfM3B7t27jXvuucd49dVXjcTERGPBggX1G3Ad8TUP48ePNxYtWmTs27fP+Pjjj42bb77ZiIuLM/7zn//Uc+SB42sO3n33XePNN980PvroI+Pzzz83Fi5caDRq1MjYsGFDPUcemphfmF8qML+E1vwSdkXQmY4ePWpIMrZu3WoYhmEcO3bMiIyMNFatWuXq8/HHHxuSjJ07dwYrzJBx/Phxo0uXLobNZjOGDRvmKoLIm2f33XefceGFF3pd7nQ6jcTEROPxxx93tR07dsywWq3Gq6++Wh8hIgAGDRpkZGRkuN6Xl5cbbdu2NbKysjz2v/baa40xY8a4tQ0ePNj44x//WKdx1iVfc3C6jh07NpiTlNrkwTAM45dffjFiYmKMv//973UVYp2rbQ4MwzD69u1rPPjgg3URXthhfmF+qcD8ElrzS9h9He5MxcXFkqSWLVtKkvbu3SuHw6ERI0a4+nTr1k0dOnTQzp07gxJjKMnIyNCYMWPc8iORN2/WrVunAQMGaNy4cYqPj1ffvn31/PPPu5YfOnRIhYWFbnmLi4vT4MGDTZ23cPLzzz9r7969bscwIiJCI0aM8HoMd+7cWelvKC0tLWyPuT85aIgCkYeysjI5HA7Xf5PCTW1zYBiGNm/erIMHD+riiy+uy1DDAvML80sF5pfQm1/CughyOp2aOnWqhg4dqpSUFElSYWGhmjRpoubNm7v1TUhIUGFhYRCiDB0rVqzQBx98oKysrErLyJtnX375pRYvXqwuXbpo48aN+tOf/qQ777xTf//73yXJlZsznx5u9ryFk++//17l5eU+HcPCwsIGdcz9yUFDFIg83HfffWrbtm2lk9hw4W8OiouL1axZMzVp0kRjxozR008/rZEjR9Z1uCGP+YX5pQLzS+jNL41rvYUgysjIUEFBgbZv3x7sUELeN998o7vuuks2m01RUVHBDidsOJ1ODRgwQHPnzpUk9e3bVwUFBVqyZIkmTpwY5OgAhJJ58+ZpxYoVys3NNd08GxMTo/z8fJ04cUKbN29WZmamzjnnHA0fPjzYoQENAvNL4OeXsC2CpkyZorfeekvbtm1T+/btXe2JiYn6+eefdezYMberGkVFRUpMTAxCpKFh7969Onr0qPr16+dqKy8v17Zt2/TMM89o48aN5M2DNm3aqEePHm5t3bt31xtvvCFJrtwUFRWpTZs2rj5FRUU6//zz6y1O+K9Vq1Zq1KhRpTshVvXZT0xM9Kl/qPMnBw1RbfLwxBNPaN68efrnP/+p3r1712WYdcrfHERERKhz586SpPPPP18ff/yxsrKyTF8EMb8wv1Rgfgm9+SXsvg5nGIamTJmi1atXa8uWLUpOTnZb3r9/f0VGRmrz5s2utoMHD+rw4cNKTU2t73BDxmWXXab9+/crPz/f9RowYIBuvPFG1/8nb5UNHTq00i3YP/30U3Xs2FGSlJycrMTERLe8lZSU6P333zd13sJJkyZN1L9/f7dj6HQ6tXnzZq/HMDU11a2/JNlstrA95v7koCHyNw+PPfaY5syZow0bNmjAgAH1EWqdCdRnwel0ym6310WIYYX5hfmlAvNLCM4vtb61Qj3705/+ZMTFxRm5ubnGkSNHXK+ysjJXn9tvv93o0KGDsWXLFiMvL89ITU01UlNTgxh1aDr97nCGQd482b17t9G4cWPjkUceMT777DNj+fLlRnR0tPHKK6+4+sybN89o3ry5sXbtWuPf//63cdVVV3GL7DCzYsUKw2q1GtnZ2cZHH31k/OEPfzCaN29uFBYWGoZhGDfddJNx//33u/q/9957RuPGjY0nnnjC+Pjjj42ZM2c2iFvY+pIDu91u7Nu3z9i3b5/Rpk0b45577jH27dtnfPbZZ8EaQkD4mod58+YZTZo0MV5//XW3/yYdP348WEOoNV9zMHfuXGPTpk3GF198YXz00UfGE088YTRu3Nh4/vnngzWEkML8wvxSgfkltOaXsCuCJHl8LVu2zNXn5MmTxh133GG0aNHCiI6ONq6++mrjyJEjwQs6RJ1ZBJE3z/7xj38YKSkphtVqNbp162YsXbrUbbnT6TRmzJhhJCQkGFar1bjsssuMgwcPBila+Ovpp582OnToYDRp0sQYNGiQsWvXLteyYcOGGRMnTnTr/9prrxnnnXee0aRJE6Nnz57G22+/Xc8RB54vOTh06JDHuXjYsGH1H3iA+ZKHjh07eszDzJkz6z/wAPIlB//3f/9ndO7c2YiKijJatGhhpKamGitWrAhC1KGL+YX5pQLzS+jMLxbDMIzaX08CAAAAgPAQdr8JAgAAAIDaoAgCAAAAYCoUQQAAAABMhSIIAAAAgKlQBAEAAAAwFYogAAAAAKZCEQQAAADAVCiCAAAAAJgKRRAAAAAAU6EIAgAAAGAqFEEAAAAATIUiCAAAAICpUAQBAAAAMBWKIAAAAACmQhEEAAAAwFQoggAAAACYCkUQAAAAAFOhCAIAAABgKhRBAAAAAEyFIggAAACAqVAEIegsFotmzZoV7DAANGBfffWVLBaLsrOzgx0KgDpy4sQJ3XbbbUpMTJTFYtHUqVODHVK1br75ZnXq1CnYYZgSRVADlp2dLYvF4npFRUWpbdu2SktL01//+lcdP3482CF6tGPHDs2aNUvHjh0LdigAAuzMealx48Zq166dbr75Zn377bfBDg9AkFXMEXl5eT6vO3fuXGVnZ+tPf/qTXn75Zd100011ECEaisbBDgB17+GHH1ZycrIcDocKCwuVm5urqVOn6sknn9S6devUu3fvoMZ38uRJNW78v4/ijh07NHv2bN18881q3rx58AIDUGcq5qVTp05p165dys7O1vbt21VQUKCoqKhghwcgDG3ZskUXXHCBZs6cGexQEAYogkxg9OjRGjBggOv99OnTtWXLFl155ZX6zW9+o48//lhNmzYNWnyc8ADmc/q8dNttt6lVq1Z69NFHtW7dOl177bVBjg5AODp69Kh69OgRsO05nU79/PPPHs9TSktLddZZZwVsX6h/fB3OpC699FLNmDFDX3/9tV555RVX+yeffKJrrrlGLVu2VFRUlAYMGKB169a5rVtxqfq9995TZmamWrdurbPOOktXX321/vvf/7r1zcvLU1pamlq1aqWmTZsqOTlZt9xyi1uf038TNGvWLE2bNk2SlJyc7PrKzFdffaVhw4apT58+HsfTtWtXpaWl1TYtAILkoosukiR98cUXrraazEc//vij7rnnHvXq1UvNmjVTbGysRo8erQ8//LBe4wdQN26++WY1a9ZM3377rdLT09WsWTO1bt1a99xzj8rLyyVJubm5slgsOnTokN5++223cwdJstvtmjlzpjp37iyr1aqkpCTde++9stvtbvuyWCyaMmWKli9frp49e8pqtWrDhg2u856tW7fqjjvuUHx8vNq3b+9a75133tFFF12ks846SzExMRozZowOHDhQaSxr1qxRSkqKoqKilJKSotWrV9dd4lAtrgSZ2E033aQHHnhAmzZt0uTJk3XgwAENHTpU7dq10/3336+zzjpLr732mtLT0/XGG2/o6quvdlv/z3/+s1q0aKGZM2fqq6++0sKFCzVlyhStXLlS0q//IjNq1Ci1bt1a999/v5o3b66vvvpKb775pteYfvvb3+rTTz/Vq6++qgULFqhVq1aSpNatW+umm27S5MmTVVBQoJSUFNc6e/bs0aeffqoHH3ywDrIEoD5UnKy0aNFCkmo8H3355Zdas2aNxo0bp+TkZBUVFem5557TsGHD9NFHH6lt27bBGhKAACkvL1daWpoGDx6sJ554Qv/85z81f/58nXvuufrTn/6k7t276+WXX9bdd9+t9u3b6y9/+YukX88dnE6nfvOb32j79u36wx/+oO7du2v//v1asGCBPv30U61Zs8ZtX1u2bNFrr72mKVOmqFWrVurUqZPy8/MlSXfccYdat26thx56SKWlpZKkl19+WRMnTlRaWpoeffRRlZWVafHixbrwwgu1b98+100PNm3apN/97nfq0aOHsrKy9MMPP2jSpEluxRTqmYEGa9myZYYkY8+ePV77xMXFGX379jUMwzAuu+wyo1evXsapU6dcy51OpzFkyBCjS5culbY7YsQIw+l0utrvvvtuo1GjRsaxY8cMwzCM1atXV7t/wzAMScbMmTNd7x9//HFDknHo0CG3fseOHTOioqKM++67z639zjvvNM466yzjxIkTVe4HQPBVzB///Oc/jf/+97/GN998Y7z++utG69atDavVanzzzTeGYdR8Pjp16pRRXl7uto9Dhw4ZVqvVePjhh93aJBnLli2r2wECqJUzz10mTpxoSHL7ezYMw+jbt6/Rv39/t7aOHTsaY8aMcWt7+eWXjYiICONf//qXW/uSJUsMScZ7773napNkREREGAcOHPAY04UXXmj88ssvrvbjx48bzZs3NyZPnuzWv7Cw0IiLi3NrP//88402bdq4zpEMwzA2bdpkSDI6duxYXVpQB/g6nMk1a9ZMx48f148//qgtW7bo2muv1fHjx/X999/r+++/1w8//KC0tDR99tlnle7c9Ic//EEWi8X1/qKLLlJ5ebm+/vprSXLd1OCtt96Sw+GodaxxcXG66qqr9Oqrr8owDEm//uvQypUrlZ6ezndzgTAyYsQItW7dWklJSbrmmmt01llnad26dWrfvr1P85HValVExK//KSsvL9cPP/ygZs2aqWvXrvrggw+COUQAAXT77be7vb/ooov05ZdfVrveqlWr1L17d3Xr1s01l3z//fe69NJLJUnvvvuuW/9hw4Z5/V3R5MmT1ahRI9d7m82mY8eO6YYbbnDbdqNGjTR48GDXto8cOaL8/HxNnDhRcXFxrvVHjhwZ0N8wwTd8Hc7kTpw4ofj4eH3++ecyDEMzZszQjBkzPPY9evSo2rVr53rfoUMHt+UVX2P56aefJP06kfzud7/T7NmztWDBAg0fPlzp6ekaP368rFarX/FOmDBBK1eu1L/+9S9dfPHF+uc//6mioiJugwmEmUWLFum8885TcXGxXnzxRW3bts01L/gyHzmdTj311FN69tlndejQIddvBCTp7LPPrpexAKhbUVFRat26tVtbixYtXOcbVfnss8/08ccfV1q/wtGjR93eJycne93Wmcs+++wzSXIVVGeKjY2VJNc/Dnfp0qVSH/7BJngogkzsP//5j4qLi9W5c2c5nU5J0j333OP1BgOdO3d2e3/6v4acruIqjcVi0euvv65du3bpH//4hzZu3KhbbrlF8+fP165du9SsWTOfY05LS1NCQoJeeeUVXXzxxXrllVeUmJioESNG+LwtAMEzaNAg193h0tPTdeGFF2r8+PE6ePCgT/PR3LlzNWPGDN1yyy2aM2eOWrZsqYiICE2dOtW1HQDhzdv5Rk04nU716tVLTz75pMflSUlJbu+rulvumcsq5piXX35ZiYmJlfqf/vgPhB6Ojom9/PLLkn4tLM455xxJUmRkZMALigsuuEAXXHCBHnnkEeXk5OjGG2/UihUrdNttt3nsf/pX7M7UqFEjjR8/XtnZ2Xr00Ue1Zs2aSpenAYSXRo0aKSsrS5dccomeeeYZ1x0kazIfvf7667rkkkv0t7/9za392LFjrhurADCvc889Vx9++KEuu+yyKs8v/N22JMXHx1c5V3Xs2FHS/64cne7gwYMBjQk1x2+CTGrLli2aM2eOkpOTdeONNyo+Pl7Dhw/Xc889pyNHjlTqf+atr2vip59+cl0VqnD++edLUqXbUp6u4rc9x44d87j8pptu0k8//aQ//vGPOnHihH7/+9/7HBuA0DJ8+HANGjRICxcuVGxsbI3no0aNGlWaZ1atWlXpN4wAzOnaa6/Vt99+q+eff77SspMnT7ru8uaPtLQ0xcbGau7cuR5/+1wxV7Vp00bnn3++/v73v6u4uNi13Gaz6aOPPvJ7/6gdrgSZwDvvvKNPPvlEv/zyi4qKirRlyxbZbDZ17NhR69atcz0EbNGiRbrwwgvVq1cvTZ48Weecc46Kioq0c+dO/ec///H5uRt///vf9eyzz+rqq6/Wueeeq+PHj+v5559XbGysrrjiCq/r9e/fX5L0f//3f7r++usVGRmpsWPHuoqjvn37KiUlxfVjx379+vmZGQChZNq0aRo3bpyys7NrPB9deeWVevjhhzVp0iQNGTJE+/fv1/Lly11XtwGY20033aTXXntNt99+u959910NHTpU5eXl+uSTT/Taa69p48aNbg+U90VsbKwWL16sm266Sf369dP111+v1q1b6/Dhw3r77bc1dOhQPfPMM5KkrKwsjRkzRhdeeKFuueUW/fjjj3r66afVs2dPnThxIpBDRg1RBJnAQw89JElq0qSJWrZsqV69emnhwoWaNGmSYmJiXP169OihvLw8zZ49W9nZ2frhhx8UHx+vvn37urbhi2HDhmn37t1asWKFioqKFBcXp0GDBmn58uVV/vBw4MCBmjNnjpYsWaINGzbI6XTq0KFDbnd/mzBhgu69915uiAA0IL/97W917rnn6oknntDkyZNrNB898MADKi0tVU5OjlauXKl+/frp7bff1v333x/EkQAIFREREVqzZo0WLFigl156SatXr1Z0dLTOOecc3XXXXTrvvPNqtf3x48erbdu2mjdvnh5//HHZ7Xa1a9dOF110kSZNmuTqd/nll2vVqlV68MEHNX36dJ177rlatmyZ1q5dq9zc3FqOEv6wGGd+jwAIA0899ZTuvvtuffXVV5XuUgcAAABUhSIIYccwDPXp00dnn312pfv7AwAAANXh63AIG6WlpVq3bp3effdd7d+/X2vXrg12SAAAAAhDXAlC2Pjqq6+UnJys5s2b64477tAjjzwS7JAAAAAQhiiCAAAAAJgKzwkCAAAAYCoUQQAAAABMJSxujOB0OvXdd98pJiZGFosl2OEADYZhGDp+/Ljatm2riAhz/psI8wtQN8w+vzC3AHUnEPNLWBRB3333nZKSkoIdBtBgffPNN2rfvn2wwwgK5hegbpl1fmFuAepebeaXsCiCYmJiJP060NjY2Fpty+FwaNOmTRo1apQiIyMDEV7QNcQxSQ1zXKE2ppKSEiUlJbn+xsyoJvNLqB23cELu/NMQ8mb2+SWQ5y5VCefPCrEHR7jGfnrcJ0+erPX8EhZFUMVl5NjY2IAUQdHR0YqNjQ2rA1+VhjgmqWGOK1THZOavatRkfgnV4xYOyJ1/GlLezDq/BPLcpSrh/Fkh9uAI19g9xV2b+cV8X9IFAAAAYGoUQQAAAABMhSIIAAAAgKn4VAQtXrxYvXv3dn2/NTU1Ve+8806V66xatUrdunVTVFSUevXqpfXr19cqYAANE/MLgFA2b948WSwWTZ06NdihAAgAn4qg9u3ba968edq7d6/y8vJ06aWX6qqrrtKBAwc89t+xY4duuOEG3Xrrrdq3b5/S09OVnp6ugoKCgAQPoOFgfgEQqvbs2aPnnntOvXv3DnYoAALEpyJo7NixuuKKK9SlSxedd955euSRR9SsWTPt2rXLY/+nnnpKl19+uaZNm6bu3btrzpw56tevn5555pmABA+g4WB+ARCKTpw4oRtvvFHPP/+8WrRoEexwAASI378JKi8v14oVK1RaWqrU1FSPfXbu3KkRI0a4taWlpWnnzp3+7haACTC/AAgVGRkZGjNmTKX5BkB48/k5Qfv371dqaqpOnTqlZs2aafXq1erRo4fHvoWFhUpISHBrS0hIUGFhYZX7sNvtstvtrvclJSWSfr0/uMPh8DVkNxXr13Y7oaQhjklqmOMKtTGFShwVQnV+CbXjFk7InX8aQt7COfYKK1as0AcffKA9e/ZU27cuz12qEs6fFWIPjnCN/fS4AxG7z0VQ165dlZ+fr+LiYr3++uuaOHGitm7d6vVExR9ZWVmaPXt2pfZNmzYpOjo6IPuw2WwB2U4oaYhjkhrmuEJlTGVlZcEOwU2ozy+hctzCEbnzTzjnLdTmF1998803uuuuu2Sz2RQVFVVt//o4d6lKOH9WiD04wjV2m80WkPnFYhiGUZsNjBgxQueee66ee+65Sss6dOigzMxMtzupzJw5U2vWrNGHH37odZue/jUlKSlJ33//fa2fuuxwOGSz2TRy5Mg6eUpuyqyNXpcVzEoL+P6kuh9TsDTEcYXamEpKStSqVSsVFxfX6RPN/RUq80uoHTdPvM09dTXv1FQ45C4UNYS8hfr8Up01a9bo6quvVqNGjVxt5eXlslgsioiIkN1ud1tWl+cuVQnnzwqxB0d9xl7VebE33v67dXrcJ0+erPX84vOVoDM5nU63P/rTpaamavPmzW4nKTabzet3/CtYrVZZrdZK7ZGRkQE7WIHc1uns5ZYq91mX6mpMwdYQxxUqYwqFGKoSavNLqBw3T7zNPaESbyjnLpSFc97CNe4Kl112mfbv3+/WNmnSJHXr1k333XefWwEk1c+5S1XC/bNC7PWvPmKv6rzYm5r8t/iXX37xNyQXn4qg6dOna/To0erQoYOOHz+unJwc5ebmauPGX6u8CRMmqF27dsrKypIk3XXXXRo2bJjmz5+vMWPGaMWKFcrLy9PSpUtrHTiAhoX5BUAoiYmJUUpKilvbWWedpbPPPrtSO4Dw41MRdPToUU2YMEFHjhxRXFycevfurY0bN2rkyJGSpMOHDysi4n83nBsyZIhycnL04IMP6oEHHlCXLl20Zs0aJg8AlTC/AACA+uJTEfS3v/2tyuW5ubmV2saNG6dx48b5FBQA82F+ARDqPM1DAMKT388JAgAAAIBwRBEEAAAAwFQoggAAAACYCkUQAAAAAFOhCAIAAABgKhRBAAAAAEyFIggAAACAqVAEAQAAADAViiAAAAAApkIRBAAAAMBUKIIAAAAAmApFEAAAAABToQgCAAAAYCoUQQAAAABMhSIIAAAAgKlQBAEAAAAwFYogAAAAAKZCEQQAAADAVCiCAAAAAJgKRRAAAAAAU6EIAgAAAGAqFEEAAAAATIUiCAAAAICp+FQEZWVlaeDAgYqJiVF8fLzS09N18ODBKtfJzs6WxWJxe0VFRdUqaAAND/MLAACoLz4VQVu3blVGRoZ27dolm80mh8OhUaNGqbS0tMr1YmNjdeTIEdfr66+/rlXQABoe5hcAAFBfGvvSecOGDW7vs7OzFR8fr7179+riiy/2up7FYlFiYqJ/EQIwBeYXAABQX3wqgs5UXFwsSWrZsmWV/U6cOKGOHTvK6XSqX79+mjt3rnr27Om1v91ul91ud70vKSmRJDkcDjkcjtqE7Fq/ttvxxtrIqHbfgVbXYwqWhjiuUBtTqMThSSjNL6F23DzxNvcEO+ZwyF0oagh5C+fYATR8fhdBTqdTU6dO1dChQ5WSkuK1X9euXfXiiy+qd+/eKi4u1hNPPKEhQ4bowIEDat++vcd1srKyNHv27ErtmzZtUnR0tL8hu7HZbAHZzpkeG+R92fr16+tknxXqakzB1hDHFSpjKisrC3YIHoXq/BIqx80Tb3NPXc87NRXKuQtl4Zy3UJ1fAECqRRGUkZGhgoICbd++vcp+qampSk1Ndb0fMmSIunfvrueee05z5szxuM706dOVmZnpel9SUqKkpCSNGjVKsbGx/oYs6dd/mbLZbBo5cqQiIyNrtS1PUmZt9LqsYFZawPcn1f2YgqUhjivUxlRxFSTUhNr8EmrHzRNvc09dzTs1FQ65C0UNIW+hOr8AgORnETRlyhS99dZb2rZtm9d/bfUmMjJSffv21eeff+61j9VqldVq9bhuoP5jEMhtnc5ebqlyn3WprsYUbA1xXKEyplCI4UyhPL+EynHzxNvcEyrxhnLuQlk45y1c4wZgDj7dHc4wDE2ZMkWrV6/Wli1blJyc7PMOy8vLtX//frVp08bndQE0XMwvAACgvvh0JSgjI0M5OTlau3atYmJiVFhYKEmKi4tT06ZNJUkTJkxQu3btlJWVJUl6+OGHdcEFF6hz5846duyYHn/8cX399de67bbbAjwUAOGM+QUAANQXn4qgxYsXS5KGDx/u1r5s2TLdfPPNkqTDhw8rIuJ/F5h++uknTZ48WYWFhWrRooX69++vHTt2qEePHrWLHECDwvwCAADqi09FkGF4v/1zhdzcXLf3CxYs0IIFC3wKCoD5ML8AAID64tNvggAAAAAg3FEEAQAAADAViiAAAAAApkIRBAAAAMBUKIIAAAAAmApFEAAAAABToQgCAAA4w+LFi9W7d2/FxsYqNjZWqampeuedd4IdFoAAoQgCAAA4Q/v27TVv3jzt3btXeXl5uvTSS3XVVVfpwIEDwQ4NQAD49LBUAAAAMxg7dqzb+0ceeUSLFy/Wrl271LNnzyBFBSBQKIIAAACqUF5erlWrVqm0tFSpqake+9jtdtntdtf7kpISSZLD4ZDD4aiz2Cq2XZf7qCvEHhz1Gbu1keHzOt7iOj3uQMROEQQAAODB/v37lZqaqlOnTqlZs2ZavXq1evTo4bFvVlaWZs+eXal906ZNio6OrutQZbPZ6nwfdYXYg6M+Yn9skO/rrF+/vsrlNptNZWVlfkb0PxRBAAAAHnTt2lX5+fkqLi7W66+/rokTJ2rr1q0eC6Hp06crMzPT9b6kpERJSUkaNWqUYmNj6yxGh8Mhm82mkSNHKjIyss72UxeIPTjqM/aUWRt9XqdgVprH9tPjPnnyZG1DowgCAADwpEmTJurcubMkqX///tqzZ4+eeuopPffcc5X6Wq1WWa3WSu2RkZH1cpJcX/upC8QeHPURu73c4vM61cUUGRmpX375xd+QXLg7HAAAQA04nU633/0ACF9cCQIAADjD9OnTNXr0aHXo0EHHjx9XTk6OcnNztXGj71/vARB6KIIAAADOcPToUU2YMEFHjhxRXFycevfurY0bN2rkyJHBDg1AAFAEAQAAnOFvf/tbsEMAUIf4TRAAAAAAU6EIAgAAAGAqFEEAAAAATIUiCAAAAICpUAQBAAAAMBWKIAAAAACm4lMRlJWVpYEDByomJkbx8fFKT0/XwYMHq11v1apV6tatm6KiotSrVy+tX7/e74ABNEzMLwAAoL74VARt3bpVGRkZ2rVrl2w2mxwOh0aNGqXS0lKv6+zYsUM33HCDbr31Vu3bt0/p6elKT09XQUFBrYMH0HAwvwAAgPri08NSN2zY4PY+Oztb8fHx2rt3ry6++GKP6zz11FO6/PLLNW3aNEnSnDlzZLPZ9Mwzz2jJkiV+hg2goWF+AQAA9cWnIuhMxcXFkqSWLVt67bNz505lZma6taWlpWnNmjVe17Hb7bLb7a73JSUlkiSHwyGHw1GLiOVav7bb8cbayKh234FW12MKloY4rlAbU6jE4UkozS+hdtw88Tb3BDvmcMhdKGoIeQvn2AE0fH4XQU6nU1OnTtXQoUOVkpLitV9hYaESEhLc2hISElRYWOh1naysLM2ePbtS+6ZNmxQdHe1vyG5sNltAtnOmxwZ5X1bXv1WoqzEFW0McV6iMqaysLNgheBSq80uoHDdPvM09ofIbqVDOXSgL57yF6vwCAFItiqCMjAwVFBRo+/btgYxHkjR9+nS3f90tKSlRUlKSRo0apdjY2Fpt2+FwyGazaeTIkYqMjPR7OymzNvq8TsGsNL/3V5VAjSnU1NW4vB27ujo+pwu1Y1VxFSTUhNr8EmrHzZNAfq6rmt983V5F7mbkRcjutNQ6tlBG3tyF6vwCAJKfRdCUKVP01ltvadu2bWrfvn2VfRMTE1VUVOTWVlRUpMTERK/rWK1WWa3WSu2RkZEBOwGp7bbs5ZbqO3nYZ10KZH5CSaDH5e3Y1WfuQuVYhUIMZwrl+SVUjpsngfxcVzW/+Tt+u9NSabuhmkt/kTd34RInAHPy6e5whmFoypQpWr16tbZs2aLk5ORq10lNTdXmzZvd2mw2m1JTU32LFECDxvwCAADqi09XgjIyMpSTk6O1a9cqJibG9b37uLg4NW3aVJI0YcIEtWvXTllZWZKku+66S8OGDdP8+fM1ZswYrVixQnl5eVq6dGmAhwIgnDG/AACA+uLTlaDFixeruLhYw4cPV5s2bVyvlStXuvocPnxYR44ccb0fMmSIcnJytHTpUvXp00evv/661qxZU+WPnQGYD/MLAACoLz5dCTIM77d/rpCbm1upbdy4cRo3bpwvuwJgMswvAACgvvh0JQgAAAAAwh1FEAAAAABToQgCAAAAYCoUQQAAAABMhSIIAAAAgKlQBAEAAAAwFYogAAAAAKZCEQQAAADAVCiCAAAAAJgKRRAAAAAAU6EIAgAAAGAqFEEAAAAATIUiCAAAAICpUAQBAAAAMBWKIAAAAACmQhEEAAAAwFQoggAAAACYCkUQAAAAAFOhCAIAAABgKhRBAAAAAEyFIggAAACAqVAEAQAAADAViiAAAAAApuJzEbRt2zaNHTtWbdu2lcVi0Zo1a6rsn5ubK4vFUulVWFjob8wAGiDmFgChJCsrSwMHDlRMTIzi4+OVnp6ugwcPBjssAAHicxFUWlqqPn36aNGiRT6td/DgQR05csT1io+P93XXABow5hYAoWTr1q3KyMjQrl27ZLPZ5HA4NGrUKJWWlgY7NAAB0NjXFUaPHq3Ro0f7vKP4+Hg1b97c5/UAmANzC4BQsmHDBrf32dnZio+P1969e3XxxRcHKSoAgeJzEeSv888/X3a7XSkpKZo1a5aGDh3qta/dbpfdbne9LykpkSQ5HA45HI5axVGxfm23Y21k+L3vQAvUmEJNXY3L27Grj/yF2rEKlThqw5e5RfJvfgm14+ZJID/XVc1vvm6vor81ovI2Qzmf/iBv7sIlzpoqLi6WJLVs2dLj8ro8d6lKOMxP3hB7cNRn7IE8Xz497kDEbjEMw/foKla2WLR69Wqlp6d77XPw4EHl5uZqwIABstvteuGFF/Tyyy/r/fffV79+/TyuM2vWLM2ePbtSe05OjqKjo/0NF8AZysrKNH78eBUXFys2NjbY4bjU1dwiMb8A9SVU5xd/OJ1O/eY3v9GxY8e0fft2j32YW4D6E4j5pc6LIE+GDRumDh066OWXX/a43NO/piQlJen777+v9UTqcDhks9k0cuRIRUZG+r2dlFkbfV6nYFaa3/urSqDGFGrqalzejl1dHZ/ThdqxKikpUatWrULuJKWu5hbJv/kl1I6bJ4H8XFc1v/m6vYrczciLkN1pqXVsoYy8uQvV+cUff/rTn/TOO+9o+/btat++vcc+dXnuUpVwmJ+8MWvsgZwr/FGfeQ/k+fLpcZ88ebLW80u9fR3udIMGDfL6LymSZLVaZbVaK7VHRkYG7GDVdlv2ckv1nTzssy4FMj+hJNDj8nbs6jN3oXKsQiGGQKpubpFqN7+EynHzJJCf66rmN3/Hb3daKm03VHPpL/LmLlzirM6UKVP01ltvadu2bV4LIKl+zl2qEsrzU3XMFntdzBX+qI+818X5cmRkpH755Rd/Q3IJShGUn5+vNm3aBGPXABow5hYAgWIYhv785z9r9erVys3NVXJycrBDAhBAPhdBJ06c0Oeff+56f+jQIeXn56tly5bq0KGDpk+frm+//VYvvfSSJGnhwoVKTk5Wz549derUKb3wwgvasmWLNm3aFLhRAAh7zC0AQklGRoZycnK0du1axcTEuJ5BFhcXp6ZNmwY5OgC15XMRlJeXp0suucT1PjMzU5I0ceJEZWdn68iRIzp8+LBr+c8//6y//OUv+vbbbxUdHa3evXvrn//8p9s2AIC5BUAoWbx4sSRp+PDhbu3Lli3TzTffXP8BAQgon4ug4cOHq6p7KWRnZ7u9v/fee3Xvvff6HBgAc2FuARBKanHfKABhICLYAQAAAABAfaIIAgAAAGAqFEEAAAAATIUiCAAAAICpUAQBAAAAMBWKIAAAAACmQhEEAAAAwFQoggAAAACYCkUQAAAAAFOhCAIAAABgKhRBAAAAAEyFIggAAACAqVAEAQAAADAViiAAAAAApkIRBAAAAMBUKIIAAAAAmApFEAAAAABToQgCAAAAYCoUQQAAAABMhSIIAAAAgKlQBAEAAAAwFYogAAAAAKZCEQQAAADAVHwugrZt26axY8eqbdu2slgsWrNmTbXr5Obmql+/frJarercubOys7P9CBVAQ8bcAgAA6ovPRVBpaan69OmjRYsW1aj/oUOHNGbMGF1yySXKz8/X1KlTddttt2njxo0+Bwug4WJuAQAA9aWxryuMHj1ao0ePrnH/JUuWKDk5WfPnz5ckde/eXdu3b9eCBQuUlpbm6+4BNFDMLQAAoL74XAT5aufOnRoxYoRbW1pamqZOnep1HbvdLrvd7npfUlIiSXI4HHI4HLWKp2L92m7H2sjwe9+BFqgxhZq6Gpe3Y1cf+Qu1YxUqcfjDn7lF8m9+CbXj5kkgP9dVzW++bq+ivzWi8jZDOZ/+IG/uwiVOAOZU50VQYWGhEhIS3NoSEhJUUlKikydPqmnTppXWycrK0uzZsyu1b9q0SdHR0QGJy2az1Wr9xwb5vs769etrtc/q1HZMoSrQ4/J27Or6+JwuVI5VWVlZsEPwmz9zi1S7+SVUjpsngfxcVzW/+ft3MmeAM2DbClXkzV04zy8AGr46L4L8MX36dGVmZrrel5SUKCkpSaNGjVJsbGyV66bM8vx7gIJZv349xuFwyGazaeTIkYqMjKxynVBQEXdVPI0p3Hg6BtYIQ3MGOAM+ruo+I4Fax5OKYzUjL0J2p6XG2/PnM1qT2CqugpiJP/OLv8etKoH6TNXF9qr6vAXyMx/s2KraXrBjC3TeqoqvruY+M84vAMJHnRdBiYmJKioqcmsrKipSbGys13+ptVqtslqtldojIyOrPRm2l1c+QalY19u2vK0TCnw5+a9JfkJVVccg0OOq6WektutUGYPT4nGb3rbnz2e0JrGF6+dF8m9ukWo5v/h43KrcVqA/UwHcXnV/j/7wlLtQiM0seZPqf+4L5/kFQMNX588JSk1N1ebNm93abDabUlNT63rXABow5hYAAOAvn4ugEydOKD8/X/n5+ZJ+vU1tfn6+Dh8+LOnXr5pMmDDB1f/222/Xl19+qXvvvVeffPKJnn32Wb322mu6++67AzMCAA0CcwsAAKgvPhdBeXl56tu3r/r27StJyszMVN++ffXQQw9Jko4cOeI6aZGk5ORkvf3227LZbOrTp4/mz5+vF154gVvYAnDD3AIAAOqLz78JGj58uAzD+21APT2xffjw4dq3b5+vuwJgIswtAACgvtT5b4IAAAAAIJRQBAEAAAAwFYogAAAAAKZCEQQAAADAVCiCAAAAAJgKRRAAAAAAU6EIAgAAOMO2bds0duxYtW3bVhaLRWvWrAl2SAACiCIIAADgDKWlperTp48WLVoU7FAA1AGfH5YKAADQ0I0ePVqjR48OdhgA6ghFEAAAQC3Z7XbZ7XbX+5KSEkmSw+GQw+Gos/1WbLsu91FXzBq7tZFR7XbrUn3mvaqxeuMtrtPjDkTsFEEAAAC1lJWVpdmzZ1dq37Rpk6Kjo+t8/zabrc73UVfMFvtjg7wvW79+fS2i8U195L2qsXpTXQ5sNpvKysr8jOh/KIIAAABqafr06crMzHS9LykpUVJSkkaNGqXY2Ngq102ZtdHrsoJZaVWu63A4ZLPZNHLkSEVGRtbZfurC6bH3fWSL137BiK06FbHPyIuQ3WkJ2HbrY6y+fGZOV9XnJ5C85eD0uE+ePFnr/VAEAQAA1JLVapXVaq3UHhkZWe2Jpr3c+0l0TU9S62s/dSEyMjJkY6uO3WmpMnZf1edYa/KZOV0gx1mV6mKKjIzUL7/8Uuv9cHc4AAAAAKbClSAAAIAznDhxQp9//rnr/aFDh5Sfn6+WLVuqQ4cOQYwMQCBQBAEAAJwhLy9Pl1xyiet9xe99Jk6cqOzs7CBFBSBQKIIAAADOMHz4cBmG77f3BRAe+E0QAAAAAFOhCAIAAABgKhRBAAAAAEyFIggAAACAqVAEAQAAADAViiAAAAAApuJXEbRo0SJ16tRJUVFRGjx4sHbv3u21b3Z2tiwWi9srKirK74ABNGzMLwAAoK75XAStXLlSmZmZmjlzpj744AP16dNHaWlpOnr0qNd1YmNjdeTIEdfr66+/rlXQABom5hcAAFAffC6CnnzySU2ePFmTJk1Sjx49tGTJEkVHR+vFF1/0uo7FYlFiYqLrlZCQUKugATRMzC8AAKA+NPal888//6y9e/dq+vTprraIiAiNGDFCO3fu9LreiRMn1LFjRzmdTvXr109z585Vz549vfa32+2y2+2u9yUlJZIkh8Mhh8NRZYzWRp6f7lyx3pn/W9U6oaC68Z7epyZ9Q5WnY2CN+LUt0OOq7jMSqHWq6l8xtppuz5/PqC+fnVAQyvOLv8etKoH6TNXF9qr6vAXyMx/s2KraXrBjC3TepPqf+0JpfgGAM1kMw6jx2dV3332ndu3aaceOHUpNTXW133vvvdq6davef//9Suvs3LlTn332mXr37q3i4mI98cQT2rZtmw4cOKD27dt73M+sWbM0e/bsSu05OTmKjo6uabgAqlFWVqbx48eruLhYsbGxQY2F+QVoWEJpfgmGkpISxcXF1Wj8ne5/2+uyr+aNqXJdh8Oh9evX64orrlBkZGSd7acunB57lxmbvPYLRmzVqYj93t2NZC+3BGy79TFWXz4zp6vq8xNI3nJwetwnT56s8d+XNz5dCfJHamqq2wnNkCFD1L17dz333HOaM2eOx3WmT5+uzMxM1/uSkhIlJSVp1KhR1Q40ZdZGj+0Fs9Ik/ZpAm82mkSNHug68t3VCQUXcVfE0pnDj6RhYIwzNGeAM+Liq+4wEah1PKo7VjLwI2Z2VJ01v2/PnM1qT2CqugoSr+ppf/D1uVQnUZ6outlfV5y2Qn/lgx1bV9oIdW6DzVlV8dTX3hfv8AqBh86kIatWqlRo1aqSioiK39qKiIiUmJtZoG5GRkerbt68+//xzr32sVqusVqvHdas7GfZWjZ+53unbCmQFH2i+nPzXJD+hqqpjEOhx1fQzUtt1qozBafG4TW/b8+czWpPYQunzEhbzi4/HrcptBfozFcDtVff36A9PuQuF2MySN6n+575Qml8A4Ew+3RihSZMm6t+/vzZv3uxqczqd2rx5s9u/xlalvLxc+/fvV5s2bXyLFECDxvwCAADqi89fh8vMzNTEiRM1YMAADRo0SAsXLlRpaakmTZokSZowYYLatWunrKwsSdLDDz+sCy64QJ07d9axY8f0+OOP6+uvv9Ztt90W2JEACHvMLwAAoD74XARdd911+u9//6uHHnpIhYWFOv/887VhwwbXbWkPHz6siIj/XWD66aefNHnyZBUWFqpFixbq37+/duzYoR49egRuFAAaBOYXAABQH/y6McKUKVM0ZcoUj8tyc3Pd3i9YsEALFizwZzcATIj5BQAA1DWfH5YKAAAAAOGMIggAAACAqVAEAQAAADAViiAAAAAApkIRBAAAAMBUKIIAAAAAmApFEAAAAABToQgCAAAAYCoUQQAAAABMhSIIAAAAgKlQBAEAAAAwFYogAAAAAKZCEQQAAADAVCiCAAAAAJgKRRAAAAAAU6EIAgAAAGAqFEEAAAAATIUiCAAAAICpUAQBAAAAMBWKIAAAAACmQhEEAAAAwFQoggAAAACYCkUQAAAAAFPxqwhatGiROnXqpKioKA0ePFi7d++usv+qVavUrVs3RUVFqVevXlq/fr1fwQJo+JhfAIQSX+ckAOHB5yJo5cqVyszM1MyZM/XBBx+oT58+SktL09GjRz3237Fjh2644Qbdeuut2rdvn9LT05Wenq6CgoJaBw+gYWF+ARBKfJ2TAIQPn4ugJ598UpMnT9akSZPUo0cPLVmyRNHR0XrxxRc99n/qqad0+eWXa9q0aerevbvmzJmjfv366Zlnnql18AAaFuYXAKHE1zkJQPho7Evnn3/+WXv37tX06dNdbRERERoxYoR27tzpcZ2dO3cqMzPTrS0tLU1r1qzxuh+73S673e56X1xcLEn68ccf5XA4qoyx8S+lHtt/+OEHSZLD4VBZWZl++OEHRUZGVrlOKKiIuyqexhRuPB2Dxk5DZWXOgI+rus9IoNbxpOJYNXZEqNxpqfH2/PmM1iS248ePS5IMw/B5+4EWyvOLv8etKoH6TNXF9qr6vAXyMx/s2KraXrBjC3Teqoqvrua+UJpf/OHrnFQX5y5S9bn25Rwg0H8/tXV67KEWW3Wq+++Cv+pjrP6eN9bX+bK3HJwe96lTpyTVcn4xfPDtt98akowdO3a4tU+bNs0YNGiQx3UiIyONnJwct7ZFixYZ8fHxXvczc+ZMQxIvXrzq6fXNN9/4MhXUCeYXXrwa5isU5hd/+DonMbfw4lX/r9rMLz5dCaov06dPd/vXXafTqR9//FFnn322LJbaVdslJSVKSkrSN998o9jY2NqGGhIa4pikhjmuUBuTYRg6fvy42rZtG+xQ6o0/80uoHbdwQu780xDyZrb5pS7PXaoSzp8VYg+OcI399LhjYmJqPb/4VAS1atVKjRo1UlFRkVt7UVGREhMTPa6TmJjoU39Jslqtslqtbm3Nmzf3JdRqxcbGhtWBr4mGOCapYY4rlMYUFxcX7BAkhcf8EkrHLdyQO/+Ee95CZX7xh69zUn2cu1QlnD8rxB4c4Rp7Rdy1nV98ujFCkyZN1L9/f23evNnV5nQ6tXnzZqWmpnpcJzU11a2/JNlsNq/9AZgT8wuAUOLPnAQgfPj8dbjMzExNnDhRAwYM0KBBg7Rw4UKVlpZq0qRJkqQJEyaoXbt2ysrKkiTdddddGjZsmObPn68xY8ZoxYoVysvL09KlSwM7EgBhj/kFQCipbk4CEL58LoKuu+46/fe//9VDDz2kwsJCnX/++dqwYYMSEhIkSYcPH1ZExP8uMA0ZMkQ5OTl68MEH9cADD6hLly5as2aNUlJSAjcKH1itVs2cObPSJetw1hDHJDXMcTXEMQVSqM4vHDf/kTv/kLfQUN2cFArC+bNC7MERrrEHOm6LYYTpvSsBAAAAwA8+PywVAAAAAMIZRRAAAAAAU6EIAgAAAGAqFEEAAAAATCWsi6Bt27Zp7Nixatu2rSwWi9asWVPtOrm5uerXr5+sVqs6d+6s7Oxst+WzZs2SxWJxe3Xr1q1uBuCBr2M6cuSIxo8fr/POO08RERGaOnWqx36rVq1St27dFBUVpV69emn9+vWBD74KdTGu7OzsSscqKiqqbgbgga9jevPNNzVy5Ei1bt1asbGxSk1N1caNGyv1W7RokTp16qSoqCgNHjxYu3fvrqMR4ExZWVkaOHCgYmJiFB8fr/T0dB08eNCtz6lTp5SRkaGzzz5bzZo10+9+97tKD1M0u3nz5slisbj93ZI3z7799lv9/ve/19lnn62mTZuqV69eysvLcy03DEMPPfSQ2rRpo6ZNm2rEiBH67LPPghgxgmHx4sXq3bu36yGRqampeuedd1zLQ/nvq7rYhw8fXum/5bfffnsQI/YuXOc2T3GHct6rOxcPVM7DuggqLS1Vnz59tGjRohr1P3TokMaMGaNLLrlE+fn5mjp1qm677bZKJ6I9e/bUkSNHXK/t27fXRfge+Tomu92u1q1b68EHH1SfPn089tmxY4duuOEG3Xrrrdq3b5/S09OVnp6ugoKCQIZepboYl/TrU4NPP1Zff/11oEKulq9j2rZtm0aOHKn169dr7969uuSSSzR27Fjt27fP1WflypXKzMzUzJkz9cEHH6hPnz5KS0vT0aNH62oYOM3WrVuVkZGhXbt2yWazyeFwaNSoUSotLXX1ufvuu/WPf/xDq1at0tatW/Xdd9/pt7/9bRCjDi179uzRc889p969e7u1k7fKfvrpJw0dOlSRkZF655139NFHH2n+/Plq0aKFq89jjz2mv/71r1qyZInef/99nXXWWUpLS9OpU6eCGDnqW/v27TVv3jzt3btXeXl5uvTSS3XVVVfpwIEDkkL776u62CVp8uTJbv8tf+yxx4IYsWfhOrd5i1sK7bxXdS4esJwbDYQkY/Xq1VX2uffee42ePXu6tV133XVGWlqa6/3MmTONPn361EGEvqvJmE43bNgw46677qrUfu211xpjxoxxaxs8eLDxxz/+sZYR+idQ41q2bJkRFxcXsLhqw9cxVejRo4cxe/Zs1/tBgwYZGRkZrvfl5eVG27ZtjaysrECECR8dPXrUkGRs3brVMAzDOHbsmBEZGWmsWrXK1efjjz82JBk7d+4MVpgh4/jx40aXLl0Mm83m9ndL3jy77777jAsvvNDrcqfTaSQmJhqPP/64q+3YsWOG1Wo1Xn311foIESGsRYsWxgsvvBCWf18VsRuG9//Gh5Jwndu8xW0YoZ33qs7FA5nzsL4S5KudO3dqxIgRbm1paWnauXOnW9tnn32mtm3b6pxzztGNN96ow4cP12eYAVfTcYejEydOqGPHjkpKSqr0L0uhzul06vjx42rZsqUk6eeff9bevXvdjlVERIRGjBjRII5VOCouLpYk1zHau3evHA6H2zHq1q2bOnTowDGSlJGRoTFjxlSab8ibZ+vWrdOAAQM0btw4xcfHq2/fvnr++eddyw8dOqTCwkK3vMXFxWnw4MGmzpvZlZeXa8WKFSotLVVqampY/X2dGXuF5cuXq1WrVkpJSdH06dNVVlYWxCgrC9e5zVvcFUI5797OxQOZ88YBjTjEFRYWVnrKc0JCgkpKSnTy5Ek1bdpUgwcPVnZ2trp27aojR45o9uzZuuiii1RQUKCYmJggRV473sZdWFgYpIgCo2vXrnrxxRfVu3dvFRcX64knntCQIUN04MABtW/fPtjhVeuJJ57QiRMndO2110qSvv/+e5WXl3s8Vp988kkwQjQ1p9OpqVOnaujQoUpJSZH0699SkyZN1Lx5c7e+DeHvqbZWrFihDz74QHv27Km0jLx59uWXX2rx4sXKzMzUAw88oD179ujOO+9UkyZNNHHiRFduGuL8Dd/t379fqampOnXqlJo1a6bVq1erR48eys/PD/m/L2+xS9L48ePVsWNHtW3bVv/+979133336eDBg3rzzTeDHPWvwnVuqypuKbTzXtW5eCBzbqoiqCZGjx7t+v+9e/fW4MGD1bFjR7322mu69dZbgxgZzpSamur2L0lDhgxR9+7d9dxzz2nOnDlBjKx6OTk5mj17ttauXav4+PhghwMPMjIyVFBQUK+/CQxX33zzje666y7ZbLZ6vTlJuHM6nRowYIDmzp0rSerbt68KCgq0ZMkSTZw4McjRIdR07dpV+fn5Ki4u1uuvv66JEydq69atwQ6rRrzF3qNHD/3hD39w9evVq5fatGmjyy67TF988YXOPffcIEYdvnNbTeIO5bxXdS7etGnTgO3HVF+HS0xMrHT3iKKiIsXGxnpNavPmzXXeeefp888/r48Q64S3cScmJgYporoRGRmpvn37hvyxWrFihW677Ta99tprbpdzW7VqpUaNGpniWIW6KVOm6K233tK7777rdlUxMTFRP//8s44dO+bW3+zHaO/evTp69Kj69eunxo0bq3Hjxtq6dav++te/qnHjxkpISCBvHrRp08b1r+EVunfv7vraR0VumBMgSU2aNFHnzp3Vv39/ZWVlqU+fPnrqqafCYl7yFrsngwcPlqSQ+G95uM5t1cVdXl5eaZ1QyvuZTj8XD+Tn3VRFUGpqqjZv3uzWZrPZ3K4mnOnEiRP64osv1KZNm7oOr874M+5wVF5erv3794f0sXr11Vc1adIkvfrqqxozZozbsiZNmqh///5ux8rpdGrz5s0N7liFKsMwNGXKFK1evVpbtmxRcnKy2/L+/fsrMjLS7RgdPHhQhw8fNvUxuuyyy7R//37l5+e7XgMGDNCNN97o+v/krbKhQ4dWugX7p59+qo4dO0qSkpOTlZiY6Ja3kpISvf/++6bOG37ldDplt9vDcl6qiN2T/Px8SQqJ/5aH69xWXdyNGjWqtE4o5f1Mp5+LB/TzXoubNwTd8ePHjX379hn79u0zJBlPPvmksW/fPuPrr782DMMw7r//fuOmm25y9f/yyy+N6OhoY9q0acbHH39sLFq0yGjUqJGxYcMGV5+//OUvRm5urnHo0CHjvffeM0aMGGG0atXKOHr0aEiOyTAMV//+/fsb48ePN/bt22ccOHDAtfy9994zGjdubDzxxBPGxx9/bMycOdOIjIw09u/fXy9jqqtxzZ4929i4caPxxRdfGHv37jWuv/56Iyoqyq1PKI1p+fLlRuPGjY1FixYZR44ccb2OHTvm6rNixQrDarUa2dnZxkcffWT84Q9/MJo3b24UFhbWy5jM7k9/+pMRFxdn5Obmuh2jsrIyV5/bb7/d6NChg7FlyxYjLy/PSE1NNVJTU4MYdWg6885D5K2y3bt3G40bNzYeeeQR47PPPjOWL19uREdHG6+88oqrz7x584zmzZsba9euNf79738bV111lZGcnGycPHkyiJGjvt1///3G1q1bjUOHDhn//ve/jfvvv9+wWCzGpk2bDMMI7b+vqmL//PPPjYcfftjIy8szDh06ZKxdu9Y455xzjIsvvjjYYXsVrnPb6XGHet6rOxcPVM7Dugh69913DUmVXhMnTjQMwzAmTpxoDBs2rNI6559/vtGkSRPjnHPOMZYtW+a2/LrrrjPatGljNGnSxGjXrp1x3XXXGZ9//nn9DMjwb0ye+nfs2NGtz2uvvWacd955RpMmTYyePXsab7/9dv0M6P9XF+OaOnWq0aFDB6NJkyZGQkKCccUVVxgffPBByI5p2LBhVfav8PTTT7vGNWjQIGPXrl31Niaz83R8JLnNEydPnjTuuOMOo0WLFkZ0dLRx9dVXG0eOHAle0CHqzBMF8ubZP/7xDyMlJcWwWq1Gt27djKVLl7otdzqdxowZM4yEhATDarUal112mXHw4MEgRYtgueWWW4yOHTsaTZo0MVq3bm1cdtllrgLIMEL776uq2A8fPmxcfPHFRsuWLQ2r1Wp07tzZmDZtmlFcXBzkqL0L17nt9LhDPe/VnYsHKucWwzAM364dAQAAAED4MtVvggAAAACAIggAAACAqVAEAQAAADAViiAAAAAApkIRBAAAAMBUKIIAAAAAmApFEAAAAABToQgCAAAAYCoUQQAAAABMhSIIAAAAgKlQBAEAAAAwFYogAAAAAKZCEQQAAADAVCiCAAAAAJgKRRAAAAAAU6EIAgAAAGAqFEEAAAAATIUiCAAAAICpUAQBAAAAMBWKIAAAAACmQhEEAAAAwFQogkwuOztbFovF9WrcuLHatWunm2++Wd9++61b3+HDh8tisahLly4et2Wz2Vzbef31192W7d+/X9dcc406duyoqKgotWvXTiNHjtTTTz/t1q9Tp05u8Zz+uvzyywM7eAAAAJhS42AHgNDw8MMPKzk5WadOndKuXbuUnZ2t7du3q6CgQFFRUa5+UVFR+vzzz7V7924NGjTIbRvLly9XVFSUTp065da+Y8cOXXLJJerQoYMmT56sxMREffPNN9q1a5eeeuop/fnPf3brf/755+svf/lLpRjbtm0bwBEDAADArCiCIEkaPXq0BgwYIEm67bbb1KpVKz366KNat26drr32Wle/c889V7/88oteffVVtyLo1KlTWr16tcaMGaM33njDbduPPPKI4uLitGfPHjVv3txt2dGjRyvF0q5dO/3+978P4OgAAACA/+HrcPDooosukiR98cUXlZbdcMMNWrlypZxOp6vtH//4h8rKytwKpgpffPGFevbsWakAkqT4+PjABQ0AAADUAEUQPPrqq68kSS1atKi0bPz48Tpy5Ihyc3NdbTk5Obrssss8FjUdO3bU3r17VVBQUKN9OxwOff/995VeJ0+e9GssAAAAwOkogiBJKi4u1vfff6///Oc/euONNzR79mxZrVZdeeWVlfp26dJFAwYMUE5OjiTp2LFjWr9+vcaPH+9x2/fcc4/Kysp0/vnna8iQIbrvvvu0adMmORwOj/03bdqk1q1bV3o99dRTgRswAAAATIvfBEGSNGLECLf3nTp10iuvvKL27dt77D9+/HjNmTNHzz77rF5//XU1atRIV199tfbu3Vup78iRI7Vz505lZWVp48aN2rlzpx577DG1bt1aL7zwgn7zm9+49R88eLD+3//7f5W24+2udAAAAIAvKIIgSVq0aJHOO+88FRcX68UXX9S2bdtktVq99r/++ut1zz336J133tHy5ct15ZVXKiYmxmv/gQMH6s0339TPP/+sDz/8UKtXr9aCBQt0zTXXKD8/Xz169HD1bdWqVaWiDAAAAAgUvg4HSdKgQYM0YsQI/e53v9O6deuUkpKi8ePH68SJEx77t2nTRsOHD9f8+fO1bds2r1+FO1OTJk00cOBAzZ07V4sXL5bD4dCqVasCORQAAACgShRBqKRRo0bKysrSd999p2eeecZrv/Hjx+tf//qXYmNjdcUVV/i8n4pbch85csTvWAEAAABfUQTBo+HDh2vQoEFauHBhpYefVrjmmms0c+ZMPfvss2rSpInXbb377rsyDKNS+/r16yVJXbt2DUzQAAAAQA3wmyB4NW3aNI0bN07Z2dm6/fbbKy2Pi4vTrFmzqt3On//8Z5WVlenqq69Wt27d9PPPP2vHjh1auXKlOnXqpEmTJrn1//bbb/XKK69U2k6zZs2Unp7u73AAAAAASRRBqMJvf/tbnXvuuXriiSc0efJkv7fzxBNPaNWqVVq/fr2WLl2qn3/+WR06dNAdd9yhBx98sNJDVPPz83XTTTdV2k7Hjh0pggAAAFBrFsPT95QAAAAAoIHiN0EAAAAATIUiCAAAAICpUAQBAAAAMBWKIAAAAACmQhEEAAAAwFQoggAAAACYSlg8J8jpdOq7775TTEyMLBZLsMMBGgzDMHT8+HG1bdtWERH8mwgAADCHsCiCvvvuOyUlJQU7DKDB+uabb9S+fftghwEAAFAvwqIIiomJkfTriVpsbGyQowk9DodDmzZt0qhRoxQZGRnscEISOfKspKRESUlJrr8xAAAAMwiLIqjiK3CxsbEUQR44HA5FR0crNjaWE3wvyFHV+JopAAAwE34EAAAAAMBUKIIAAAAAmApFEAAAAABT8akIWrx4sXr37u36bU5qaqreeeedKtdZtWqVunXrpqioKPXq1Uvr16+vVcAAAAAAUBs+FUHt27fXvHnztHfvXuXl5enSSy/VVVddpQMHDnjsv2PHDt1www269dZbtW/fPqWnpys9PV0FBQUBCR4AAAAAfOVTETR27FhdccUV6tKli8477zw98sgjatasmXbt2uWx/1NPPaXLL79c06ZNU/fu3TVnzhz169dPzzzzTECCBwAAAABf+f2boPLycq1YsUKlpaVKTU312Gfnzp0aMWKEW1taWpp27tzp724BAAAAoFZ8fk7Q/v37lZqaqlOnTqlZs2ZavXq1evTo4bFvYWGhEhIS3NoSEhJUWFhY5T7sdrvsdrvrfUlJiaRfn/XicDh8DbnBq8gJufGOHHlGPgAAgBn5XAR17dpV+fn5Ki4u1uuvv66JEydq69atXgshf2RlZWn27NmV2jdt2qTo6OiA7aehsdlswQ4h5JEjd2VlZcEOAQAAoN75XAQ1adJEnTt3liT1799fe/bs0VNPPaXnnnuuUt/ExEQVFRW5tRUVFSkxMbHKfUyfPl2ZmZmu9yUlJUpKStKoUaMUGxvra8j1KmXWRq/LCmal1ck+HQ6HbDabRo4cqcjIyDrZR7gjR55VXGUFAAAwE5+LoDM5nU63r66dLjU1VZs3b9bUqVNdbTabzetviCpYrVZZrdZK7ZGRkSF/Amsvt3hdVtexh0N+go0cuSMXAADAjHwqgqZPn67Ro0erQ4cOOn78uHJycpSbm6uNG3+9+jFhwgS1a9dOWVlZkqS77rpLw4YN0/z58zVmzBitWLFCeXl5Wrp0aeBHAgAAAAA14FMRdPToUU2YMEFHjhxRXFycevfurY0bN2rkyJGSpMOHDysi4n83nBsyZIhycnL04IMP6oEHHlCXLl20Zs0apaSkBHYUAAAAAFBDPhVBf/vb36pcnpubW6lt3LhxGjdunE9BAQAAAEBd8fs5QQAAAAAQjiiCAAAAAJgKRRAAAAAAU6EIAgAAAGAqFEEAAAAATIUiCAAAAICpUAQBAAAAMBWKIAAAAACmQhEEAAAAwFQoggAAAACYCkUQAAAAAFOhCAIAAABgKhRBAAAAAEyFIggAAACAqVAEAQAAADAViiAAAAAApkIRBAAAAMBUKIIAAAAAmApFEAAAAABToQgCAAAAYCoUQQAAAABMhSIIAAAAgKlQBAEAAAAwFZ+KoKysLA0cOFAxMTGKj49Xenq6Dh48WOU62dnZslgsbq+oqKhaBQ0AAAAA/vKpCNq6dasyMjK0a9cu2Ww2ORwOjRo1SqWlpVWuFxsbqyNHjrheX3/9da2CBgAAAAB/Nfal84YNG9zeZ2dnKz4+Xnv37tXFF1/sdT2LxaLExET/IgQAAACAAKrVb4KKi4slSS1btqyy34kTJ9SxY0clJSXpqquu0oEDB2qzWwAAAADwm09Xgk7ndDo1depUDR06VCkpKV77de3aVS+++KJ69+6t4uJiPfHEExoyZIgOHDig9u3be1zHbrfLbre73peUlEiSHA6HHA6HvyHXC2sjw+uyuoq9YruhnptgIkeekQ8AAGBGFsMwvJ+1V+FPf/qT3nnnHW3fvt1rMeOJw+FQ9+7ddcMNN2jOnDke+8yaNUuzZ8+u1J6Tk6Po6Gh/wgXgQVlZmcaPH6/i4mLFxsYGOxwAAIB64VcRNGXKFK1du1bbtm1TcnKyzzsdN26cGjdurFdffdXjck9XgpKSkvT999+H/IlayqyNXpcVzEqrk306HA7ZbDaNHDlSkZGRdbKPcEeOPCspKVGrVq0oggAAgKn49HU4wzD05z//WatXr1Zubq5fBVB5ebn279+vK664wmsfq9Uqq9VaqT0yMjLkT2Dt5Ravy+o69nDIT7CRI3fkAgAAmJFPRVBGRoZycnK0du1axcTEqLCwUJIUFxenpk2bSpImTJigdu3aKSsrS5L08MMP64ILLlDnzp117NgxPf744/r666912223BXgoAAAAAFA9n4qgxYsXS5KGDx/u1r5s2TLdfPPNkqTDhw8rIuJ/N5376aefNHnyZBUWFqpFixbq37+/duzYoR49etQucgAAAADwg89fh6tObm6u2/sFCxZowYIFPgUFAAAAAHWlVs8JAgAAAIBwQxEEAAAAwFQoggAAAACYCkUQAAAAAFOhCAIAAABgKhRBAAAAAEyFIggAAACAqVAEAQAAADAViiAAAAAApkIRBAAAAMBUKIIAAAAAmApFEAAAAABToQgCAAAAYCoUQQAAAABMhSIIAAAAgKlQBAEAAAAwFYogAAAAAKZCEQQAAADAVCiCAAAAAJgKRRAAAAAAU6EIAgAAAGAqFEEAAAAATIUiCAAAAICp+FQEZWVlaeDAgYqJiVF8fLzS09N18ODBatdbtWqVunXrpqioKPXq1Uvr16/3O2AAAAAAqA2fiqCtW7cqIyNDu3btks1mk8Ph0KhRo1RaWup1nR07duiGG27Qrbfeqn379ik9PV3p6ekqKCiodfAAAAAA4KvGvnTesGGD2/vs7GzFx8dr7969uvjiiz2u89RTT+nyyy/XtGnTJElz5syRzWbTM888oyVLlvgZNgAAAAD4x6ci6EzFxcWSpJYtW3rts3PnTmVmZrq1paWlac2aNV7XsdvtstvtrvclJSWSJIfDIYfDUYuI6561keF1WV3FXrHdUM9NMJEjz8gHAAAwI7+LIKfTqalTp2ro0KFKSUnx2q+wsFAJCQlubQkJCSosLPS6TlZWlmbPnl2pfdOmTYqOjvY35Hrx2CDvy+r6t1A2m61Ot98QkCN3ZWVlwQ4BAACg3vldBGVkZKigoEDbt28PZDySpOnTp7tdPSopKVFSUpJGjRql2NjYKtdNmbXRY3vBrLSAxujr/quKwZ91TudwOGSz2TRy5EhFRkZWH6QJkSPPKq6yAgAAmIlfRdCUKVP01ltvadu2bWrfvn2VfRMTE1VUVOTWVlRUpMTERK/rWK1WWa3WSu2RkZHVnsDayy0e2+vrxNfb/quKwZ91vPXlBL9q5MgduQAAAGbk093hDMPQlClTtHr1am3ZskXJycnVrpOamqrNmze7tdlsNqWmpvoWKQAAAAAEgE9XgjIyMpSTk6O1a9cqJibG9bueuLg4NW3aVJI0YcIEtWvXTllZWZKku+66S8OGDdP8+fM1ZswYrVixQnl5eVq6dGmAhwIAAAAA1fPpStDixYtVXFys4cOHq02bNq7XypUrXX0OHz6sI0eOuN4PGTJEOTk5Wrp0qfr06aPXX39da9asqfJmCgAAAABQV3y6EmQY3m//XCE3N7dS27hx4zRu3DhfdgUAAAAAdcKnK0EAAAAAEO4oggAAAACYCkUQAAAAAFOhCAIAAABgKhRBAAAAAEyFIggAAACAqVAEAQAAADAViiAAAAAApkIRBAAAAMBUKIIAAAAAmApFEAAAAABToQgCAAAAYCoUQQAAAABMhSIIAAAAgKlQBAEAgP+vvbsPrbL+/zj+OtPjmSunTXNzuuVAw+ly3qVOIxWmS0QYFVj+oYkKgUZ6LGFRu8loUHlTNNlXpEbCyvzDRSXmmm1DXBNvBhk4lIYL9cy73NEtj+fnzu+P6NRp5xx3nR13pp/nAw7j+lyfm/f12T/nxXXOdQDAKIQgAAAAAEYhBAEAAAAwCiEIAAAAgFEIQQAAAACMQggCAAAAYBRCEAAAAACjEIIAAAAAGIUQBAAAAMAolkNQfX29li5dqtTUVNlsNlVVVYXtX1tbK5vN1u3lcrkirRkAAAAAImY5BHV0dCg7O1tlZWWWxjU3N+vSpUv+18iRI60uDQAAAAC9NtDqgMWLF2vx4sWWFxo5cqSGDRtmeRwAAAAARJPlEBSpKVOmyOPxKCsrS8XFxZo7d27Ivh6PRx6Px3/sdrslSV6vV16vN+w6jgG+oO33GhctodYPV0MkY4L16atrfBCxR8GxHwAAwEQ2n88X+h34vQbbbNq/f7/y8/ND9mlublZtba1mzJghj8ej3bt3a8+ePWpsbNS0adOCjikuLlZJSUm39srKSiUkJERaLoD/6Ozs1PLly9Xe3q7ExMRYlwMAANAn7nsICmbevHlKT0/Xnj17gp4PdicoLS1NV69evecbtaziH4K2ny7Os1RjpEKtH66GSMb8m9frVXV1tRYuXCi73X7vIg3EHgXndrs1YsQIQhAAADBKn30c7t9mzpypI0eOhDzvcDjkcDi6tdvt9nu+gfXctQVt76s3vqHWD1dDJGNC9eUNfnjsUSD2AgAAmCgmvxPU1NSkUaNGxWJpAAAAAIazfCfo1q1bOnfunP+4paVFTU1NSkpKUnp6ugoKCnThwgV98cUXkqQdO3YoIyNDkyZN0u3bt7V7924dPnxYhw4dit5VAAAAAEAPWQ5Bx48f14IFC/zHTqdTkrRy5UpVVFTo0qVLam1t9Z+/c+eONm3apAsXLighIUGTJ0/Wjz/+GDAHAAAAAPQVyyFo/vz5CvcshYqKioDjzZs3a/PmzZYLAwAAAID7ISbfCQIAAACAWCEEAQAAADAKIQgAAACAUQhBAAAAAIxCCAIAAABgFEIQAAAAAKMQggAAAAAYhRAEAAAAwCiEIAAAAABGIQQBAAAAMAohCAAAAIBRCEEAAAAAjEIIAgAAAGAUQhAAAAAAoxCCAAAAABiFEAQAAADAKIQgAAAAAEYhBAEAAAAwCiEIAAAAgFEIQQAAAACMQggCAAAAYBRCEAAAAACjEIIAAAAAGMVyCKqvr9fSpUuVmpoqm82mqqqqe46pra3VtGnT5HA4NG7cOFVUVERQKgAAAAD0nuUQ1NHRoezsbJWVlfWof0tLi5YsWaIFCxaoqalJGzZs0Jo1a/TDDz9YLhYAAAAAemug1QGLFy/W4sWLe9y/vLxcGRkZ2rp1qyQpMzNTR44c0fbt25WXl2d1eQAAAADoFcshyKqGhgbl5uYGtOXl5WnDhg0hx3g8Hnk8Hv+x2+2WJHm9Xnm93rDrOQb4grbfa1y0hFo/XA2RjAnWp6+u8UHEHgXHfgAAABPd9xDkcrmUnJwc0JacnCy3260///xTgwcP7jamtLRUJSUl3doPHTqkhISEsOt9MDN4+4EDB3pedC+EWj9cDZGMCaa6urrHfU3FHgXq7OyMdQkAAAB97r6HoEgUFBTI6XT6j91ut9LS0rRo0SIlJiaGHZtVbP27RqeLg38sL9xcsR7zb16vV9XV1Vq4cKHsdnvI+cLNFcmYaIr2vv2XI86nLTO69M7xOJ0ofC5q9fWHPe3NOn/fZQUAADDJfQ9BKSkpamtrC2hra2tTYmJi0LtAkuRwOORwOLq12+122e32sOt57tos1xhqznBzxXpMqL52uz3kfOHmimRMNEV730Ku02WL6Jr68572Zp2++v8CAAD0J/f9d4JycnJUU1MT0FZdXa2cnJz7vTQAAAAAdGM5BN26dUtNTU1qamqS9NcjsJuamtTa2irpr4+yrVixwt//1Vdf1W+//abNmzfrzJkz2rlzp77++mtt3LgxOlcAAAAAABZYDkHHjx/X1KlTNXXqVEmS0+nU1KlTVVhYKEm6dOmSPxBJUkZGhr7//ntVV1crOztbW7du1e7du3k8NgAAAICYsPydoPnz58vnC/1I54qKiqBjTp06ZXUpAAAAAIi6+/6dIAAAAADoTwhBAAAAAIxCCAIAAABgFEIQAAAAAKMQggAAAAAYhRAEAAAAwCiEIAAAAABGIQQBAAAAMAohCAAAAIBRCEEAAAAAjEIIAgAAAGAUQhAAAAAAoxCCAAAAABiFEAQAAADAKIQgAAAAAEYhBAEAAAAwCiEIAAAAgFEIQQAAAACMQggCAAAAYBRCEAAAAACjEIIAAAAAGIUQBAAAAMAohCAAAAAARokoBJWVlWns2LGKj4/XrFmzdOzYsZB9KyoqZLPZAl7x8fERFwwAAAAAvWE5BO3du1dOp1NFRUU6efKksrOzlZeXp8uXL4cck5iYqEuXLvlf58+f71XRAAAAABApyyFo27ZtWrt2rVatWqWJEyeqvLxcCQkJ+uyzz0KOsdlsSklJ8b+Sk5N7VTQAAAAARGqglc537tzRiRMnVFBQ4G+Li4tTbm6uGhoaQo67deuWnnjiCXV1dWnatGl6//33NWnSpJD9PR6PPB6P/9jtdkuSvF6vvF5v2BodA3w9vRy/UHOGmyvWY4L1+ftvqPnCzRXJmGiK9r516xvn8/+N5Jr68572Zp2++v8CAAD0Jzafz9fjd5IXL17U6NGjdfToUeXk5PjbN2/erLq6OjU2NnYb09DQoLNnz2ry5Mlqb2/XRx99pPr6ev36668aM2ZM0HWKi4tVUlLSrb2yslIJCQk9LRfAPXR2dmr58uVqb29XYmJirMsBAADoE5buBEUiJycnIDDNmTNHmZmZ+t///qctW7YEHVNQUCCn0+k/drvdSktL06JFi+75Ri2r+AfLNZ4uzrM8V6zH/JvX61V1dbUWLlwou90ecr5wc0UyJpqivW//5YjzacuMLr1zPE4nCp+LWn39YU97s87fd1kBAABMYikEjRgxQgMGDFBbW1tAe1tbm1JSUno0h91u19SpU3Xu3LmQfRwOhxwOR9Cxdrs97Pyeu7Ye1fHfea3OFesxofra7faQ84WbK5Ix0RTtfQu5Tpctomvqz3vam3X66v8LAADQn1h6MMKgQYM0ffp01dTU+Nu6urpUU1MTcLcnnLt37+qXX37RqFGjrFUKAAAAAFFg+eNwTqdTK1eu1IwZMzRz5kzt2LFDHR0dWrVqlSRpxYoVGj16tEpLSyVJ7777rmbPnq1x48bpxo0b+vDDD3X+/HmtWbMmulcCAAAAAD1gOQQtW7ZMV65cUWFhoVwul6ZMmaKDBw/6H3vd2tqquLh/bjD98ccfWrt2rVwulx577DFNnz5dR48e1cSJE6N3FQAAAADQQxE9GGH9+vVav3590HO1tbUBx9u3b9f27dsjWQYAAAAAos7yj6UCAAAAwIOMEAQAAADAKIQgAAAAAEYhBAEAAAAwCiEIAAAAgFEIQQAAAACMQggCAAAAYBRCEAAAAACjEIIAAAAAGIUQBAAAAMAohCAAAAAARiEEAQAAADAKIQgAAACAUQhBAAAAAIxCCAIAAABgFEIQAAAAAKMQggAAAAAYhRAEAAAAwCiEIAAAAABGIQQBAAAAMAohCAAAAIBRCEEAAAAAjEIIAgAAAGCUiEJQWVmZxo4dq/j4eM2aNUvHjh0L23/fvn2aMGGC4uPj9dRTT+nAgQMRFQsAAAAAvWU5BO3du1dOp1NFRUU6efKksrOzlZeXp8uXLwftf/ToUb388stavXq1Tp06pfz8fOXn5+v06dO9Lh4AAAAArLIcgrZt26a1a9dq1apVmjhxosrLy5WQkKDPPvssaP+PP/5Yzz33nN58801lZmZqy5YtmjZtmj799NNeFw8AAAAAVg200vnOnTs6ceKECgoK/G1xcXHKzc1VQ0ND0DENDQ1yOp0BbXl5eaqqqgq5jsfjkcfj8R+3t7dLkq5fvy6v1xu2xoH/13Gvy+jm2rVrlueK9Zh/83q96uzs1LVr12S320POF26uSMZEU7T3rVvfLp86O7s00BsX0TX15z3tzTo3b96UJPl8vqjWBAAA0J9ZCkFXr17V3bt3lZycHNCenJysM2fOBB3jcrmC9ne5XCHXKS0tVUlJSbf2jIwMK+X22IitD9eY/rp+pKJVw/K/5/swOvNJ/XtPraxz8+ZNDR069P4VAwAA0I9YCkF9paCgIODuUVdXl65fv67hw4fLZrPFsLL+ye12Ky0tTb///rsSExNjXU6/xB4F5/P5dPPmTaWmpsa6FAAAgD5jKQSNGDFCAwYMUFtbW0B7W1ubUlJSgo5JSUmx1F+SHA6HHA5HQNuwYcOslGqkxMRE3uDfA3vUHXeAAACAaSw9GGHQoEGaPn26ampq/G1dXV2qqalRTk5O0DE5OTkB/SWpuro6ZH8AAAAAuJ8sfxzO6XRq5cqVmjFjhmbOnKkdO3aoo6NDq1atkiStWLFCo0ePVmlpqSTp9ddf17x587R161YtWbJEX331lY4fP65du3ZF90oAAAAAoAcsh6Bly5bpypUrKiwslMvl0pQpU3Tw4EH/ww9aW1sVF/fPDaY5c+aosrJSb7/9tt566y2NHz9eVVVVysrKit5VGM7hcKioqKjbRwjxD/YIAAAAf7P5eDYuAAAAAINY/rFUAAAAAHiQEYIAAAAAGIUQBAAAAMAohCAAAAAARiEEPUDq6+u1dOlSpaamymazqaqqKuC8z+dTYWGhRo0apcGDBys3N1dnz56NTbExUlpaqqefflpDhgzRyJEjlZ+fr+bm5oA+t2/f1rp16zR8+HA9+uijeuGFF7r9oC8AAAAeXoSgB0hHR4eys7NVVlYW9PwHH3ygTz75ROXl5WpsbNQjjzyivLw83b59u48rjZ26ujqtW7dOP//8s6qrq+X1erVo0SJ1dHT4+2zcuFHffvut9u3bp7q6Ol28eFHPP/98DKsGAABAX+IR2Q8om82m/fv3Kz8/X9Jfd4FSU1O1adMmvfHGG5Kk9vZ2JScnq6KiQi+99FIMq42dK1euaOTIkaqrq9Ozzz6r9vZ2Pf7446qsrNSLL74oSTpz5owyMzPV0NCg2bNnx7hiAAAA3G/cCXpItLS0yOVyKTc31982dOhQzZo1Sw0NDTGsLLba29slSUlJSZKkEydOyOv1BuzThAkTlJ6ebvQ+AQAAmIQQ9JBwuVySpOTk5ID25ORk/znTdHV1acOGDZo7d66ysrIk/bVPgwYN0rBhwwL6mrxPAAAAphkY6wKA+2XdunU6ffq0jhw5EutSAAAA0I9wJ+ghkZKSIkndnnLW1tbmP2eS9evX67vvvtNPP/2kMWPG+NtTUlJ0584d3bhxI6C/qfsEAABgIkLQQyIjI0MpKSmqqanxt7ndbjU2NionJyeGlfUtn8+n9evXa//+/Tp8+LAyMjICzk+fPl12uz1gn5qbm9Xa2mrUPgEAAJiMj8M9QG7duqVz5875j1taWtTU1KSkpCSlp6drw4YNeu+99zR+/HhlZGTonXfeUWpqqv8JciZYt26dKisr9c0332jIkCH+7/kMHTpUgwcP1tChQ7V69Wo5nU4lJSUpMTFRr732mnJycngyHAAAgCF4RPYDpLa2VgsWLOjWvnLlSlVUVMjn86moqEi7du3SjRs39Mwzz2jnzp168sknY1BtbNhstqDtn3/+uV555RVJf/1Y6qZNm/Tll1/K4/EoLy9PO3fu5ONwAAAAhiAEAQAAADAK3wkCAAAAYBRCEAAAAACjEIIAAAAAGIUQBAAAAMAohCAAAAAARiEEAQAAADAKIQgAAACAUQhBAAAAAIxCCAIAAABgFEIQAAAAAKMQggAAAAAYhRAEAAAAwCj/D+GvS8LYJDLcAAAAAElFTkSuQmCC",
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"text/plain": [
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"<Figure size 1000x1000 with 9 Axes>"
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]
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},
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"metadata": {},
|
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"output_type": "display_data"
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}
|
|
],
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"source": [
|
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"import matplotlib.pyplot as plt\n",
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"\n",
|
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"result_test.hist(bins=30, figsize=(10, 10))\n",
|
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"plt.show()"
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]
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},
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{
|
|
"cell_type": "code",
|
|
"execution_count": 626,
|
|
"metadata": {},
|
|
"outputs": [
|
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{
|
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"data": {
|
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"text/plain": [
|
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"{'RMSE_train': 15.877604526754098,\n",
|
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" 'RMSE_test': 14.274496148500475,\n",
|
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" 'RMAE_test': 3.4262604750793813,\n",
|
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" 'R2_test': 0.04481754347384659}"
|
|
]
|
|
},
|
|
"execution_count": 626,
|
|
"metadata": {},
|
|
"output_type": "execute_result"
|
|
}
|
|
],
|
|
"source": [
|
|
"rmetrics = {}\n",
|
|
"rmetrics[\"RMSE_train\"] = math.sqrt(\n",
|
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" metrics.mean_squared_error(result_train[\"Real\"], result_train[\"Inferred\"])\n",
|
|
")\n",
|
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"rmetrics[\"RMSE_test\"] = math.sqrt(\n",
|
|
" metrics.mean_squared_error(result_test[\"Real\"], result_test[\"Inferred\"])\n",
|
|
")\n",
|
|
"rmetrics[\"RMAE_test\"] = math.sqrt(\n",
|
|
" metrics.mean_absolute_error(result_test[\"Real\"], result_test[\"Inferred\"])\n",
|
|
")\n",
|
|
"rmetrics[\"R2_test\"] = metrics.r2_score(result_test[\"Real\"], result_test[\"Inferred\"])\n",
|
|
"\n",
|
|
"rmetrics"
|
|
]
|
|
}
|
|
],
|
|
"metadata": {
|
|
"kernelspec": {
|
|
"display_name": ".venv",
|
|
"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": "3.12.9"
|
|
}
|
|
},
|
|
"nbformat": 4,
|
|
"nbformat_minor": 2
|
|
}
|