{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# statsmodels Principal Component Analysis" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "*Key ideas:* Principal component analysis, world bank data, fertility\n", "\n", "In this notebook, we use principal components analysis (PCA) to analyze the time series of fertility rates in 192 countries, using data obtained from the World Bank. The main goal is to understand how the trends in fertility over time differ from country to country. This is a slightly atypical illustration of PCA because the data are time series. Methods such as functional PCA have been developed for this setting, but since the fertility data are very smooth, there is no real disadvantage to using standard PCA in this case." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "execution": { "iopub.execute_input": "2024-03-18T09:21:17.362197Z", "iopub.status.busy": "2024-03-18T09:21:17.361945Z", "iopub.status.idle": "2024-03-18T09:21:19.357455Z", "shell.execute_reply": "2024-03-18T09:21:19.356385Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "import matplotlib.pyplot as plt\n", "import statsmodels.api as sm\n", "from statsmodels.multivariate.pca import PCA\n", "\n", "plt.rc(\"figure\", figsize=(16, 8))\n", "plt.rc(\"font\", size=14)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The data can be obtained from the [World Bank web site](http://data.worldbank.org/indicator/SP.DYN.TFRT.IN), but here we work with a slightly cleaned-up version of the data:" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "execution": { "iopub.execute_input": "2024-03-18T09:21:19.362224Z", "iopub.status.busy": "2024-03-18T09:21:19.361396Z", "iopub.status.idle": "2024-03-18T09:21:19.404430Z", "shell.execute_reply": "2024-03-18T09:21:19.403126Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/html": [ "
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Country NameCountry CodeIndicator NameIndicator Code196019611962196319641965...2004200520062007200820092010201120122013
0ArubaABWFertility rate, total (births per woman)SP.DYN.TFRT.IN4.8204.6554.4714.2714.0593.842...1.7861.7691.7541.7391.7261.7131.7011.690NaNNaN
1AndorraANDFertility rate, total (births per woman)SP.DYN.TFRT.INNaNNaNNaNNaNNaNNaN...NaNNaN1.2401.1801.2501.1901.220NaNNaNNaN
2AfghanistanAFGFertility rate, total (births per woman)SP.DYN.TFRT.IN7.6717.6717.6717.6717.6717.671...7.1366.9306.7026.4566.1965.9285.6595.395NaNNaN
3AngolaAGOFertility rate, total (births per woman)SP.DYN.TFRT.IN7.3167.3547.3857.4107.4257.430...6.7046.6576.5986.5236.4346.3316.2186.099NaNNaN
4AlbaniaALBFertility rate, total (births per woman)SP.DYN.TFRT.IN6.1866.0765.9565.8335.7115.594...2.0041.9191.8491.7961.7611.7441.7411.748NaNNaN
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" ], "text/plain": [ " Country Name Country Code Indicator Name \\\n", "0 Aruba ABW Fertility rate, total (births per woman) \n", "1 Andorra AND Fertility rate, total (births per woman) \n", "2 Afghanistan AFG Fertility rate, total (births per woman) \n", "3 Angola AGO Fertility rate, total (births per woman) \n", "4 Albania ALB Fertility rate, total (births per woman) \n", "\n", " Indicator Code 1960 1961 1962 1963 1964 1965 ... 2004 \\\n", "0 SP.DYN.TFRT.IN 4.820 4.655 4.471 4.271 4.059 3.842 ... 1.786 \n", "1 SP.DYN.TFRT.IN NaN NaN NaN NaN NaN NaN ... NaN \n", "2 SP.DYN.TFRT.IN 7.671 7.671 7.671 7.671 7.671 7.671 ... 7.136 \n", "3 SP.DYN.TFRT.IN 7.316 7.354 7.385 7.410 7.425 7.430 ... 6.704 \n", "4 SP.DYN.TFRT.IN 6.186 6.076 5.956 5.833 5.711 5.594 ... 2.004 \n", "\n", " 2005 2006 2007 2008 2009 2010 2011 2012 2013 \n", "0 1.769 1.754 1.739 1.726 1.713 1.701 1.690 NaN NaN \n", "1 NaN 1.240 1.180 1.250 1.190 1.220 NaN NaN NaN \n", "2 6.930 6.702 6.456 6.196 5.928 5.659 5.395 NaN NaN \n", "3 6.657 6.598 6.523 6.434 6.331 6.218 6.099 NaN NaN \n", "4 1.919 1.849 1.796 1.761 1.744 1.741 1.748 NaN NaN \n", "\n", "[5 rows x 58 columns]" ] }, "execution_count": 2, "metadata": {}, "output_type": "execute_result" } ], "source": [ "data = sm.datasets.fertility.load_pandas().data\n", "data.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we construct a DataFrame that contains only the numerical fertility rate data and set the index to the country names. We also drop all the countries with any missing data." ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "execution": { "iopub.execute_input": "2024-03-18T09:21:19.407711Z", "iopub.status.busy": "2024-03-18T09:21:19.407326Z", "iopub.status.idle": "2024-03-18T09:21:19.465572Z", "shell.execute_reply": "2024-03-18T09:21:19.464677Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/html": [ "
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1960196119621963196419651966196719681969...2002200320042005200620072008200920102011
Country Name
Aruba4.8204.6554.4714.2714.0593.8423.6253.4173.2263.054...1.8251.8051.7861.7691.7541.7391.7261.7131.7011.690
Afghanistan7.6717.6717.6717.6717.6717.6717.6717.6717.6717.671...7.4847.3217.1366.9306.7026.4566.1965.9285.6595.395
Angola7.3167.3547.3857.4107.4257.4307.4227.4037.3757.339...6.7786.7436.7046.6576.5986.5236.4346.3316.2186.099
Albania6.1866.0765.9565.8335.7115.5945.4835.3765.2685.160...2.1952.0972.0041.9191.8491.7961.7611.7441.7411.748
United Arab Emirates6.9286.9106.8936.8776.8616.8416.8166.7836.7386.679...2.4282.3292.2362.1492.0712.0041.9481.9031.8681.841
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5 rows × 52 columns

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" ], "text/plain": [ " 1960 1961 1962 1963 1964 1965 1966 1967 \\\n", "Country Name \n", "Aruba 4.820 4.655 4.471 4.271 4.059 3.842 3.625 3.417 \n", "Afghanistan 7.671 7.671 7.671 7.671 7.671 7.671 7.671 7.671 \n", "Angola 7.316 7.354 7.385 7.410 7.425 7.430 7.422 7.403 \n", "Albania 6.186 6.076 5.956 5.833 5.711 5.594 5.483 5.376 \n", "United Arab Emirates 6.928 6.910 6.893 6.877 6.861 6.841 6.816 6.783 \n", "\n", " 1968 1969 ... 2002 2003 2004 2005 2006 \\\n", "Country Name ... \n", "Aruba 3.226 3.054 ... 1.825 1.805 1.786 1.769 1.754 \n", "Afghanistan 7.671 7.671 ... 7.484 7.321 7.136 6.930 6.702 \n", "Angola 7.375 7.339 ... 6.778 6.743 6.704 6.657 6.598 \n", "Albania 5.268 5.160 ... 2.195 2.097 2.004 1.919 1.849 \n", "United Arab Emirates 6.738 6.679 ... 2.428 2.329 2.236 2.149 2.071 \n", "\n", " 2007 2008 2009 2010 2011 \n", "Country Name \n", "Aruba 1.739 1.726 1.713 1.701 1.690 \n", "Afghanistan 6.456 6.196 5.928 5.659 5.395 \n", "Angola 6.523 6.434 6.331 6.218 6.099 \n", "Albania 1.796 1.761 1.744 1.741 1.748 \n", "United Arab Emirates 2.004 1.948 1.903 1.868 1.841 \n", "\n", "[5 rows x 52 columns]" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "columns = list(map(str, range(1960, 2012)))\n", "data.set_index(\"Country Name\", inplace=True)\n", "dta = data[columns]\n", "dta = dta.dropna()\n", "dta.head()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are two ways to use PCA to analyze a rectangular matrix: we can treat the rows as the \"objects\" and the columns as the \"variables\", or vice-versa. Here we will treat the fertility measures as \"variables\" used to measure the countries as \"objects\". Thus the goal will be to reduce the yearly fertility rate values to a small number of fertility rate \"profiles\" or \"basis functions\" that capture most of the variation over time in the different countries." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The mean trend is removed in PCA, but its worthwhile taking a look at it. It shows that fertility has dropped steadily over the time period covered in this dataset. Note that the mean is calculated using a country as the unit of analysis, ignoring population size. This is also true for the PC analysis conducted below. A more sophisticated analysis might weight the countries, say by population in 1980." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "execution": { "iopub.execute_input": "2024-03-18T09:21:19.469618Z", "iopub.status.busy": "2024-03-18T09:21:19.469137Z", "iopub.status.idle": "2024-03-18T09:21:19.928449Z", "shell.execute_reply": "2024-03-18T09:21:19.927725Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "(0.0, 51.0)" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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fO3r0aEnSN998c8JrixYtOu49AID/8PKw6cohcVp27xg9dUlvxbX305Gyav110R6NeHKpXvguRUUVBE0AAAAAQPNpEc/I3L17t2JjY+Xn53fC8bFjxyonJ0fLly/XqFGjJNVt2HPo0CEFBwerY8eO9e/fu3evevbsqcTERG3YsKH+NvKtW7dqyJAhSkxM1Pbt22WzNbzvNvQefgBoTWodTn35Q7ZeWpKqtMN1K+IDvT00fVi8rhmRoHb+XhZPCAAAAABoKRra11pEyJw9e7aeffZZjRo1SnFxcfL399fevXu1YMEC1dTU6IEHHtDjjz9e//65c+dqxowZmj59uubOnXvcuR577DE99NBDiouL0yWXXKKSkhLNmzdP1dXVWrx4sYYPH35asxEyAbRlDqdLC348pJeXpGpPbokkyd/LriuHxum6kYkKC/C2eEIAAAAAgLtraF/zMHGmRhs7dqx27dqlLVu2aOXKlSovL1dYWJimTJmim2++WRMnTmzwuR588EHFx8fr+eef1z/+8Q95eXlp5MiR+tOf/qSzzz67GX8WAND62G2GLujTSeed1VHf7MzRi4tTtfNQsf65PE1vrdmv3w2O0w2jEhUe5GP1qAAAAACAFq5FrMh0Z6zIBID/cLlcWrI7Ty8uSdW2zEJJdc/XvGxgjG4c3VmdQnytHRAAAAAA4HZa1a3l7oyQCQAncrlcWpmSrxcXp+j7A0clSZ52Q7/uH6Obx3RWTKjfKc4AAAAAAGgrCJkmIWQCwMm5XC6tTSvQS4tTtTatQFLd7ei/6helW8YmKT7M3+IJAQAAAABWI2SahJAJAA2zcf8Rvbg4RStT8iVJNkO6sE8n3TouSUnhgRZPBwAAAACwCiHTJIRMADg9WzKO6uUlqVq8O0+SZBjSlLM66rZxSeoWye+jAAAAANDWEDJNQsgEgMbZnlWkl5akaNGO3PpjU86K1P3ndldse56hCQAAAABtBSHTJIRMADgzu3OK9fKSVM3/8ZBcLsnLbtOMEfG6dWySAn08rR4PAAAAANDMCJkmIWQCQNPYk1OiP8/fWf8MzbAAL909sasuHRAju82weDoAAAAAQHMhZJqEkAkATcflcmnZnsP60/ydSjtcJknqFhmoh8/voWFJYRZPBwAAAABoDoRMkxAyAaDp1TicenfdAT3/XYqKKmokSRN6ROgPU7orIczf4ukAAAAAAE2JkGkSQiYANJ+jZdV6YXGK3ll3QA6nS552Q1cPi9et45IV7MvzMwEAAACgNSBkmoSQCQDNLzWvRH+ev0vL9hyWJIX6e+muCV102cAYedhtFk8HAAAAADgThEyTEDIBwDxL9+Tpsfm7lJpXKknqGhGoh87vrpHJHSyeDAAAAADQWIRMkxAyAcBcNQ6nPtiQoWe/3avC8rrnZ47vHq4/TOmuxA4BFk8HAAAAADhdhEyTEDIBwBpF5TV6YXGK3l67X7VOlzxshqYPi9ft45IV7MfzMwEAAACgpSBkmoSQCQDW2ne4VI/P36XFu/MkSe38PHXnhC66YlAsz88EAAAAgBaAkGkSQiYAuIcVew/rz/N3am9u3fMzk8MD9ND5PTS6C8/PBAAAAAB3Rsg0CSETANxHrcOpDzZm6tlv9ujoT8/PHNu1gx48r4eSwnl+JgAAAAC4I0KmSQiZAOB+iipq9NLiFM1dU/f8TLvN0FVD4jRrfLJC/LysHg8AAAAA8F8ImSYhZAKA+0o7XKrHF+zWd7tyJUnBvp66bVySrhoaJ28Pu8XTAQAAAAAkQqZpCJkA4P5Wp+brT1/t1O6cEklSbKif7ju3q847q6MMw7B4OgAAAABo2wiZJiFkAkDL4HC69PGmTD3zzV7llVRJkvrFhujBKd01ID7U4ukAAAAAoO0iZJqEkAkALUt5da1eW5Guf67Yp/JqhyTp3J6R+v3kbkoI87d4OgAAAABoewiZJiFkAkDLlFdcqee+26t/bcyU0yV52AxdOSROt5+TrFB/NgQCAAAAALMQMk1CyASAlm1vbomeWLBLS/ccliQFenvolnFJunpYvHw82RAIAAAAAJobIdMkhEwAaB1Wp+brsfm7tPNQsSQpKsRX907qqgv7dJLNxoZAAAAAANBcCJkmIWQCQOvhdLr02ZYsPf3NHh0qqpQknRUVrD9M6a6hndtbPB0AAAAAtE6ETJMQMgGg9amsceiNVen6x7J9Kq2qlSSN7x6u+yd3U1J4oMXTAQAAAEDrQsg0CSETAFqv/NIqvfBdit7fkCGH0yW7zdBlA2M0a3wXdQj0tno8AAAAAGgVCJkmIWQCQOuXmleqJ7/erW935kqS/L3sumlMZ10zIlG+XmwIBAAAAABngpBpEkImALQd69IK9PiCXfrhYJEkKTLIR3dP7KJfnR0tOxsCAQAAAECjEDJNQsgEgLbF6XTpyx+y9dTXe5RVWCFJ6t4xSH+Y0k0jkztYPB0AAAAAtDyETJMQMgGgbaqsceitNfv18tJUlVTWbQg0uksH3T+5m7p35L8HAAAAANBQhEyTEDIBoG07WlatF5ek6J21B1TrdMkwpIv7RunOCV0UE+pn9XgAAAAA4PYImSYhZAIAJGl/fpn+umiP5v94SJLkZbfpyiFxunVckkL9vSyeDgAAAADcFyHTJIRMAMB/25ZZqCe/3q01+wokSQHeHrphVKKuGZkgPy8Pi6cDAAAAAPdDyDQJIRMA8L9cLpdWpuTrya93a0d2sSQpLMBbd5yTpMsGxcrTbrN4QgAAAABwH4RMkxAyAQAn43S69NWPh/T0oj3KOFIuSYpr76d7JnbVeWd1lM1mWDwhAAAAAFiPkGkSQiYA4FSqa52atzFDLy5OUX5ptSSpV1SQ7j+3u0Ykh1k8HQAAAABYi5BpEkImAKChyqpq9caqdP1z+T6VVTskSSOSwvT7c7vprOhgi6cDAAAAAGsQMk1CyAQAnK6C0iq9vDRV7647oBpH3X+Gz+/dUfdM7Kr4MH+LpwMAAAAAcxEyTULIBAA0VuaRcj377V59vjVLLpfkYTN0+aBY3XZOksIDfaweDwAAAABMQcg0CSETAHCmdmYX66lFu7Vsz2FJkq+nXdeOTND1oxIV6ONp8XQAAAAA0LwImSYhZAIAmsq6tAL9ZeFubc0slCSF+nvplrFJunJIrLw97NYOBwAAAADNhJBpEkImAKApuVwuLdqRq6cW7Vba4TJJUlSIr+6e2EUX9Y2S3WZYPCEAAAAANC1CpkkImQCA5lDrcOrjTQf1/HcpyimulCR1iwzUPRO76pzu4TIMgiYAAACA1oGQaRJCJgCgOVXWODR3zX79fWmqiitrJUm9o4M1a3yyxnYlaAIAAABo+QiZJiFkAgDMUFReo38s36e31+5XebVDEkETAAAAQOtAyDQJIRMAYKaC0iq9tjKdoAkAAACg1SBkmoSQCQCwAkETAAAAQGtByDQJIRMAYKWC0iq9ujJNb685oIoagiYAAACAloeQaRJCJgDAHfxc0OwTHaxZ47toTNcOBE0AAAAAbouQaRJCJgDAnRA0AQAAALQ0hEyTEDIBAO4ov7RKr61I09trCZoAAAAA3Bsh0ySETACAOyNoAgAAAHB3hEyTEDIBAC0BQRMAAACAuyJkmoSQCQBoSX42aMaEaNb4ZI3pQtAEAAAAYD5CpkkImQCAlii/tEqvrkjT22v3q7LGKakuaN5xTpLGdAmXzUbQBAAAAGAOQqZJCJkAgJbscEmVXlt5fNCMb++nK4fE6Tf9YxTs52nxhAAAAABaO0KmSQiZAIDW4FjQ/GB9hkqqaiVJvp52Te3XSVcNiVePTvw3DgAAAEDzIGSahJAJAGhNyqpq9fnWLL2z9oB255TUHx8Q107ThsXr3J6R8vKwWTghAAAAgNaGkGkSQiYAoDVyuVzauP+o3lq7X4u256jWWfftQliAt64YFKMrBscpMtjH4ikBAAAAtAaETJMQMgEArV1ucaXeX5+hDzZkKK+kSpJktxma1DNCVw2J15DEUHY7BwAAANBohEyTEDIBAG1FjcOpRTty9PbaA9qQfqT+eJeIAF01JE4Xnx2tAG8PCycEAAAA0BIRMk1CyAQAtEW7c4r19toD+mxzlipqHJKkAG8PXXJ2lK4aGqek8ECLJwQAAADQUhAyTULIBAC0ZcWVNfpk00G9s/aA0vLL6o8P69xe04bGa3z3cHnY2RwIAAAAwMkRMk1CyAQAQHI6XVq9L19vrz2gxbty9dPeQOoU7KMrBsfqskGxCgvwtnZIAAAAAG6JkGkSQiYAAMc7eLRc763P0L82ZupIWbUkydNu6LyzOuqqofE6OzaEzYEAAAAA1CNkmoSQCQDAz6uscWj+D4f09roD2pZZWH+8T0yIrh2RoMm9IrntHAAAAAAh0yyETAAATu2Hg4V6e+0BfbEtW9W1TklSVIivZgyP128HxijQx9PiCQEAAABYhZBpEkImAAANd7ikSu+uO6B31h2ov+08wNtDlw2M0dXD4xXdzs/iCQEAAACYjZBpEkImAACnr7LGoc+2ZOn1lWnad7hut3O7zdDkXpG6dmSi+saEWDsgAAAAANMQMk1CyAQAoPGcTpeW7z2s11elaXVqQf3xgfHtdM2IRE3oESG7jY2BAAAAgNaMkGkSQiYAAE1jR3aR3liVri+3ZavGUfftSVx7P80cnqBf94+Wv7eHxRMCAAAAaA6ETJMQMgEAaFq5xZV6a81+vbc+Q0UVNZKkYF9PXTE4VtOHxisy2MfiCQEAAAA0JUKmSQiZAAA0j/LqWn286aDeWJWuAwXlkiQPm6EL+3TSNSMT1LNTsMUTAgAAAGgKhEyTEDIBAGheDqdL3+3K1Rsr07Vh/5H640MT2+u6UQka0yVcNp6jCQAAALRYhEyTEDIBADDPtsxCvb4qXQt+PCSHs+5bmM4d/HXNiET96uwo+XjaLZ4QAAAAwOkiZJqEkAkAgPmyCis0d3W65m3IVElVrSQp1N9LVw6J01VD4tQh0NviCQEAAAA0FCHTJIRMAACsU1JZow+/P6g5q9KVVVghSfLysOnX/aN1/chExYf5WzwhAAAAgFMhZJqEkAkAgPVqHU4t2pGrV1emaVtmoSTJMKTJvSJ1w6jO6hMTYul8AAAAAE6OkGkSQiYAAO7D5XJpQ/oRvbJ8n5buOVx/fGhie90wOlGju3SQYbAxEAAAAOBOCJkmIWQCAOCeducU69XlafpiW7Zqf9oYqFtkoG4c3Vnn9e4oT7vN4gkBAAAASIRM0xAyAQBwb1mFFZqzKl0fbMhQebVDkhQV4qtrRybotwNj5OflYfGEAAAAQNtGyDQJIRMAgJahsLxa7647oDdX71dBWbUkKcTPU9OGxmv60Di1D2CncwAAAMAKhEyTEDIBAGhZKmsc+njTQb22Mk0HCsolSd4eNl06IEbXjUxUbHs/iycEAAAA2hZCpkkImQAAtEwOp0uLduToleX79MPBIkmSzZCmnNVRN47urF5RwRZPCAAAALQNhEyTEDIBAGjZXC6X1qYV6JXlaVqx9z87nY9ICtMNoxM1IimMnc4BAACAZkTINAkhEwCA1mNndrFeXbFPX/5wSI6fdjrv2SlIN4zurCm9IuXBTucAAABAkzM1ZObk5Gj58uXKzMxUeXm5Hn744TM9ZYtByAQAoPXJPFKuN1al618bM1VRU7fTeUyor64bmajf9I+Rr5fd4gkBAACA1sOUkFlWVqZZs2bprbfeksPhqD/+339fWFioxMREFRcXa9euXUpOTm7s5dwSIRMAgNbraFm13l57QG+t3a8j/7XT+W8HxOjKIXGKCWVjIAAAAOBMNbSvNfr+qJqaGk2aNElz5syRt7e3xo0bJ29v7xPeFxISouuvv15Op1Pz5s1r7OUAAABM187fS3eMT9bq34/Tny7qqZhQXxWW1+ifK9I06q9LNePNDVq6O09OJ0/qAQAAAJpbo0PmK6+8ojVr1qhr167avn27vv32WwUH//zunpdeeqkkacmSJY29HAAAgGV8vey6ami8lt0zVq9NG6CRyWFyuaSlew5rxtyNGvP0Mv1z+T4d/WnVJgAAAICm1+iQ+f7778swDL388suKi4v7xff27t1bdrtdu3btauzlftaTTz4pwzBkGIbWrVvXoM8sW7as/jM/9zV37twmnREAALQedpuhCT0i9M41g7X0njG6ZkSCgnw8lHGkXE8s3K0hTyzWPR9t07bMQqtHBQAAAFodj8Z+cNeuXfLw8NDo0aNPfREPDwUHB+vo0aONvdwJtm/frkceeUT+/v4qKys77c+PHj1aY8aMOeF43759z3w4AADQ6iWE+ev/zu+heyZ21RfbsvT22gPakV2sjzcd1MebDqpPdLCuGhqv83t3lI8nmwMBAAAAZ6rRIbO6ulre3t6y2xv2jXl5ebl8fX0be7nj1NTUaPr06erbt6+Sk5P17rvvnvY5xowZo9mzZzfJPAAAoO3y9bLrtwNjdemAGG3JLNQ7aw9o/g+HtO1gkbZ9tE1/nr+TzYEAAACAJtDoW8ujoqJUVlamvLy8U75348aNqqysVGJiYmMvd5zHHntMO3bs0Jw5cxocUgEAAJqTYRg6O7adnvttX615YJzuO7erokLYHAgAAABoKo0OmRMmTJAkvfbaa7/4PqfTqQcffFCGYWjy5MmNvVy9zZs367HHHtMjjzyiHj16NPo8KSkpev755/XEE0/onXfeUVZW1hnPBgAAIElhAd66eUySVtxXtznQqC4djtscaPTTS9kcCAAAADhNhsvlatSSgPT0dPXo0UOGYeiNN97Q5Zdfro4dOyovL08Oh0NS3XM077nnHi1cuFBBQUHau3evwsPDGz1sVVWV+vfvL19fX61bt052u11XX3213nrrLa1du1ZDhgw55TmWLVumsWPHnnDcw8NDt912m/7617/+4irPqqoqVVVV1f+4uLhYMTExKioqUlBQUON+YgAAoNVLzy/Tu+sO6KPvM1VcWStJ8vaw6YI+nXTVkDj1iQmxdkAAAADAIsXFxQoODj5lX2v0isyEhAS99dZbqq2t1ZVXXqmoqCgVFhZKkkaNGqX4+Hj16tVLCxculJeXl95///0zipiS9PDDDyslJUVvvvlmo28p79Chg/7yl79o+/btKi0tVW5urj7//HMlJSXpueee03333feLn3/iiScUHBxc/xUTE9OoOQAAQNtybHOg9X8YrycvOUs9OwWpqtapjzcd1EV/W62LXl6lj77PVGWNw+pRAQAAALfU6BWZx6xfv1533XWX1q5d+7OvDx48WC+++KIGDhx4JpfR2rVrNWLECM2ePVv/93//V3/8dFdknkxOTo569+6to0ePKisr66TRlRWZAACgKbhcruM2B6p2OCVJ7fw8dfWwBF09PF7Bvp4WTwkAAAA0v4auyDzjkHnMvn37tHbtWh06dEhOp1MREREaMmSIunXrdsbnrq2tVY8ePeTv768NGzbI0/M/39Q3VciUpOuuu06vv/66vvjiC11wwQUN+kxD/0EDAACcTH5plT78PlPvrctQVmGFJCnQ20NXD4/XzOEJaufvZfGEAAAAQPNpaF/zaKoLdu7cWZ07d26q0x2ntLRUKSkpkiQvr5//Rn7o0KGSpM8++0xTp05t1HXCwsIkSWVlZY36PAAAQGMc2xzohlGdteDHQ3p5Sar25JbopSWpmrMqXdOGxevaEQlqH+Bt9agAAACAZRodMmfOnKmQkBA9++yzDXr/fffdp4KCAr3xxhunfS1vb29dc801P/vaihUrlJKSogsvvFAdOnRQfHz8aZ//mPXr10vSGZ0DAACgsew2Qxf06aTzzuqob3bm6IXFqdp1qFj/WLZPc1fv15VDYnXdqESFB/pYPSoAAABgukbfWm6z2RQZGans7OwGvT8hIUEZGRn1O5o3lZPdWp6fn6/8/HyFhYXVr7SUpE2bNql///4nnOeFF17QrFmzlJycrF27djV4MyFuLQcAAM3F5XLpu115emlJin44WCSpbqfzKwbH6oZRnRUZTNAEAABAy2f6reWn4nK5ZBiGWZfTyy+/rEcffVSPPPKIZs+eXX/8kksukaenpwYMGKDo6GiVlZVp3bp12rJli0JCQvTuu+82ekd0AACApmQYhib0iND47uFatvewXlycoi0ZhXpz9X69ty5Dvx0YoxvHdFZUiK/VowIAAADNzpSQ6XQ6lZeXJ39/fzMu94tuuukmLVq0SCtWrFBBQYFsNpvi4uI0a9Ys3X333YqOjrZ6RAAAgOMYhqGxXcM1pksHrU4t0AuL92rj/qN6Z90BzduYoV/3j9bNY5IUE+pn9agAAABAs2nwreXFxcUqLCys/3F8fLw6dOig77//Xic7hcvlUmFhod5++20999xzGjx4sNauXdskg7sLbi0HAABmc7lcWpd2RC8uTtHatAJJdc/X/FW/KN0yNknxYdb/z2MAAACgoRra1xocMh999FH98Y9/rP/x6d4q7nK59Prrr2vmzJkN/kxLQMgEAABW2ri/LmiuTMmXJNkM6aK+dUEzKTzA4ukAAACAU2toX7M19IQul+u4L8MwTjj2v1+SFBQUpKFDh2rOnDmtLmICAABYbWB8qN65ZrA+u3mYxnULl9MlfbYlSxOeW65b39+sPTklVo8IAAAANAnTdi1vrViRCQAA3MmPB4v04pIUfbszt/7Y5F6RunVcknp2CrZwMgAAAODnNfuu5Y888ogCArhdCQAAwJ2cFR2s16YN0M7sYr28NEULfszRwu11X+O7R+j2c5LUOzrE6jEBAACA09boFZmow4pMAADgzvbklOjlpan66odsHfuub0zXDrptXJL6x4VaOxwAAACgZtjsBz+PkAkAAFqC1LxS/X1pqj7fmiXnT9/9DevcXreOS9LQxPantYkjAAAA0JRMC5mlpaX66KOPtG7dOh06dEhlZWU62SkNw9DixYvP5HJuh5AJAABakv35ZfrHsn36ZPNB1f5UNAfEtdOt45I0uksHgiYAAABMZ0rInD9/vqZPn66jR4/W72Qu6biQ+d/HDMOQw+Fo7OXcEiETAAC0RAePluufy9P0r+8zVV3rlCT1jg7WrWOTNL57hGw2giYAAADM0ewhc/v27Ro4cKCqqqo0ceJETZ48WXfeeaeCg4P1zDPPKC8vT0uXLtV3332n0NBQPfzwwwoKCtL06dMb/ZNyR4RMAADQkuUWV+rVFWl6b/0BVdbUBc1ukYG6dVySJvfqKDtBEwAAAM2s2UPm9OnT9c4772jGjBl64403JEk2m02RkZHKzs6uf9/KlSs1depURUdHa+3atfLz82vM5dwWIRMAALQGBaVVen1Vut5es19l1XV30HTu4K9bxibpwj6d5GG3WTwhAAAAWqtmD5nx8fHKzMxUamqqEhISJNWFzIiICB06dOi4986bN09XXHGFHnroIf3xj39szOXcFiETAAC0JoXl1Zq7Zr/mrEpXcWWtJCk21E83jemsS86OlpcHQRMAAABNq9lDpo+Pj+x2u8rKyuqPeXp6yt/fX4WFhce9t7a2VgEBAUpMTNTOnTsbczm3RcgEAACtUUlljd5Zd0Cvr0zXkbJqSVKnYB/dMLqzfjswRj6edosnBAAAQGvR7CGzQ4cOcjqdKigoqD8WFhamo0ePqri4WP7+/se9PygoSA6H47jw2RoQMgEAQGtWXl2r99dn6NUVacorqZIkdQj01vUjE/W7IbHy8/KweEIAAAC0dA3ta42+NygmJkZFRUWqqKioP9atWzdJ0vLly497786dO1VaWiovL6/GXg4AAAAW8PPy0LUjE7XivrH600U9FRXiq8MlVXpswS4N/8sS/W1pqoora6weEwAAAG1Ao0Pm2WefLZfLpQ0bNtQfO//88+VyuXTzzTdr5cqVKi8v15YtWzRt2jQZhqHhw4c3ydAAAAAwl4+nXVcNjdfSe8boqUt6K669n46W1+ivi/ZoxF+W6Nlv96qwvNrqMQEAANCKNfrW8vnz5+uCCy7Qddddp3/+85+SpLKyMvXu3Vvp6ekyDKP+vS6XS97e3lq5cqUGDBjQNJO7CW4tBwAAbVGtw6mvfjikl5emKjWvVJLk71UXO68dmaCwAG+LJwQAAEBL0ezPyHQ6ndq1a5e8vLyUnJxcfzw7O1t33HGHvvrqK1VVVckwDA0cOFBPP/20RowY0ZhLuTVCJgAAaMucTpe+3pGjl5akatehYkmSr6dd14xI0PWjExXk42nxhAAAAHB3zR4yT6Wmpkb5+fkKDAxUQEBAc1zCLRAyAQAA6u7AWbwrTy8tSdG2g0WSpBA/T908prOmDY1nl3MAAACcVLOHzBdffFGS9Otf/1qdOnVq3JStACETAADgP1wul77Zmau/LtpTf8t5ZJCPZo1P1q/7R8vD3uhHtAMAAKCVavaQabfbZbfb2/xu5IRMAACAEzmcLn26+aCe/y5FWYUVkqTEMH/dPbGrJveKlM1mnOIMAAAAaCuaPWRGRkaqpqZGBQUFjR6yNSBkAgAAnFxljUPvrc/Q35am6khZ3a7mZ0UF675zu2pEUthxG0QCAACgbWpoX2v0vT2DBw9WYWGhsrOzG3sKAAAAtHI+P238s/zeMbrjnGT5e9n1Y1aRrnpjg373+nptzSy0ekQAAAC0EI0Omffee69sNpvuvffeppwHAAAArVCgj6funNBFK+4bq5nDE+Rlt2nNvgJN/dtq3fjOJqXmlVg9IgAAANzcGe1aPm/ePF1//fXq37+/7rzzTg0ZMkQdOnRoU7cIcWs5AADA6Tt4tFzPf5eiTzcflNMl2QzpkrOjNWtCF0WF+Fo9HgAAAExkymY/p8swDNXW1jbmcm6LkAkAANB4e3NL9PSiPfpmZ64kyctu01VD43TL2CSF+rfdDSUBAADakmYPmTZb4+5KdzqdjfqcuyJkAgAAnLnNGUf15MLdWp9+RJIU4O2h60Ym6pqRCQrw9rB4OgAAADSnZg+ZBw4caNRgcXFxjfqcuyJkAgAANA2Xy6UVKfl66uvd2pFdLElq7++lW8cl6YrBsfL2OP07ggAAAOD+mj1kog4hEwAAoGk5nS7N//GQnvlmj/YXlEuSokJ8ddeELpraL0p2W9t5HjsAAEBbQMg0CSETAACgedQ4nPrw+0y98F2K8kqqJEldIgJ0z8SumtAjok1tMAkAANCaETJNQsgEAABoXhXVDr21dr/+vjRVxZV1G0f2jQnRPRO7anhSe4ImAABAC0fINAkhEwAAwBxF5TV6ZcU+vbk6XZU1dRtIDk4I1b2TumpAfKjF0wEAAKCxCJkmIWQCAACYK6+kUn9fuk/vr89QtaMuaI7u0kH3TOyqs6KDLZ4OAAAAp4uQaRJCJgAAgDWyCyv00pIUffj9QTmcdd/SntszUndN7KIuEYEWTwcAAICGImSahJAJAABgrf35ZXphcYo+35oll0syDOmiPp00a3wXxYf5Wz0eAAAAToGQaRJCJgAAgHvYm1ui577dq4XbcyRJdpuh3/SP1m3nJCsqxNfi6QAAAHAyhEyTEDIBAADcy/asIj3zzR4t3XNYkuRlt+mKwbG6eWxnhQf6WDwdAAAA/ldD+5qtsRf46KOPVFNT09iPAwAAAM2iV1Sw3pwxSB/fOFRDEkNV7XBq7pr9GvXUUj2xcJeOllVbPSIAAAAaodErMm02m9q3b6/LLrtMV199tfr379/Us7UIrMgEAABwXy6XS2v2Feivi/Zoa2ahJCnQ20PXjEzQNSMSFOjjae2AAAAAaP5by6OionTo0CEZhiFJ6tmzp2bMmKErr7xSHTp0aNzULRAhEwAAwP25XC4t2Z2np7/Zq12HiiVJIX6eunF0Z00bGic/Lw+LJwQAAGi7mj1kOp1Offvtt3rzzTf1xRdfqLKyUoZhyMPDQ5MnT9aMGTN03nnnycOjdX9TSMgEAABoOZxOlxZuz9Gz3+7RvsNlkqSwAG/dOrazLh8cK28Pu8UTAgAAtD2mbvZTXFysDz74QHPnztX69evrTmwYat++va688kpdffXV6t2795lexi0RMgEAAFoeh9Olz7dk6fnFe5V5pEKS1CnYR7efk6xL+kfL097oR8kDAADgNFm2a/nevXs1d+5cvfPOO8rKyqq/9bxPnz6aOXOmrrjiCoWGhjblJS1FyAQAAGi5qmud+mhTpl5anKqc4kpJUnx7P901sasu6N2x/ntZAAAANB/LQuYxLpdL3333nWbPnq21a9fWfxPo6empqVOn6rbbbtPw4cOb49KmImQCAAC0fJU1Dr23PkN/X5qqgp92Ne8THaw/TOmuwYntLZ4OAACgdbM0ZJaWlurDDz/U3LlztXr1ah27REREhHJzc+subBi6+OKL9dZbb8nf37+pRzANIRMAAKD1KKuq1ZxV6Xpl+T6VVTskSeO7h+v+yd2UFB5o8XQAAACtU0P7WpM+/GfJkiWaNm2aOnbsqOuuu06rVq2Sv7+/rrnmGq1Zs0aHDh3Srl27NGvWLPn4+Oizzz7T/fff35QjAAAAAI3m7+2h285J1rJ7x+rKIbGy2wx9tytPk55fqT989qPySiqtHhEAAKDNOuMVmWlpafXPxMzIyKhffTl8+HBdc801uvTSS+Xn53fC5zZs2KChQ4cqMjJSWVlZZzKCpViRCQAA0HrtO1yqJxfu1jc76+4q8vOy6/pRibpuZKL8vT0sng4AAKB1aPZby+fMmVN/67hU90zMiIgITZs2TTNnzlTXrl1PeY6oqCjl5OTI4XA0ZgS3QMgEAABo/TakH9HjC3Zpa2ahJKlDoLfumtBFv+kfLQ92OAcAADgjzR4ybba6b9jsdrumTJmia665Ruedd57sdnuDzzFixAhlZWUpPT29MSO4BUImAABA2+ByuTT/x0N66us9yjhSLklKDg/Q/ZO7aVy3cHY4BwAAaKRmD5ldunTRNddco+nTpysyMrLRg7Z0hEwAAIC2pbrWqXfXHdCLS1JUWF4jSRqSGKo/TOmu3tEh1g4HAADQAlm6a3lbQsgEAABom4oqavT3Zal6c/V+Vdc6JUkX9umkeyd1VUzoic+IBwAAwM9r9pA5c+ZMhYSE6Nlnn23Q+++77z4VFBTojTfeaMzl3BYhEwAAoG3LKqzQM4v26NMtdRtYetltmj4sTreMTVKIn5fF0wEAALg/U56RGRkZqezs7Aa9PyEhQRkZGS16Y5+fQ8gEAACAJG3PKtITC3dpdWqBJCnY11O3jk3StGFx8vZo+HPkAQAA2pqG9jXTtlh0uVw8AB0AAACtVq+oYL17zWC9OWOgukYEqqiiRo8t2KVznlmuf2/NktPJE50AAADOhCkh0+l0Ki8vT/7+/mZcDgAAALCEYRga2zVcC+4Yqacu6a2IIG8dPFqhO+Zt1dS/r9bafQVWjwgAANBieTT0jcXFxSosLDzumMPhUGZmpk52d7rL5VJhYaHefvttVVZWqk+fPmc0LAAAANAS2G2GLh0Yo/P7dNScVen6x7J9+uFgkS5/bZ3O6Rau+yd3U3JEoNVjAgAAtCgNfkbmo48+qj/+8Y/1Pz7dW8VdLpdef/11zZw58/SndGM8IxMAAACnkl9apRe+S9H7GzLkcLpkM6RLB8TozgldFBHkY/V4AAAAlmryZ2S6XK7jvgzDOOHY/35JUlBQkIYOHao5c+a0uogJAAAANERYgLf+NLWXvrlzlCb2iJDTJc3bmKnRf12qZ77Zo5LKGqtHBAAAcHum7VreWrEiEwAAAKfr+/1H9PiCXdqcUShJau/vpTvGJ+vyQbHytJu2HycAAIBbaGhfa3TIfPTRRxUQEKC777670UO2BoRMAAAANIbL5dKiHTl68us9Ss8vkyQlhPnr3kldNblX5Gk9xgkAAKAla/aQiTqETAAAAJyJGodT8zZk6IXFKcovrZYk9YsN0R+mdNfA+FCLpwMAAGh+hEyTEDIBAADQFEqravXqijS9tiJNFTUOSdKEHhH6/bndlBQeYPF0AAAAzadJQ+axTXo6duyoxx577Lhjp8MwDL3xxhun/Tl3RsgEAABAU8orrtTzi1P0r42ZcjhdstsM/XZgjGadk6xwdjgHAACtUJOGTJut7oHj3bp1086dO+uPHdu5vKEMw5DD4Wjw+1sCQiYAAACaQ2peiZ78eo++3ZkrSfL1tOu6UYm6flSiArw9LJ4OAACg6TS0rzXoO6BHHnlEkhQWFnbCMQAAAABNLyk8UK9NG6CNP+1wviWjUC8uTtH76w/ojvFddNnAGHY4BwAAbQrPyDxDrMgEAABAc3O5XPp6e46e/Hq39heUS5ISw/x137ndNKlnBDucAwCAFo3NfkxCyAQAAIBZahxOfbAhQy98l6KCsrodzvvHtdMDk7tpADucAwCAFoqQaRJCJgAAAMxWUlmjV1ek6fWV6fU7nE/qGaH7zu2mzh3Y4RwAALQshEyTEDIBAABgldziSj3/3V79a2OmnC7JbjN0+aAY3XFOF3UI9LZ6PAAAgAZp0pBpt9ubZCjDMFRbW9sk53IXhEwAAABYLSW3RE9+vVvf7cqTJPl72XXPpK6aNjRedhvPzwQAAO6tSUOmzdZ0uyE6nc4mO5c7IGQCAADAXaxPK9DjC3drW2ahJKlfbIieuqS3kiMCrR0MAADgFzRpyDxw4ECTDRYXF9dk53IHhEwAAAC4E6fTpfc3ZOgvC3ertKpWXnabbhmbpJvGdJaXR9MtUAAAAGgqPCPTJIRMAAAAuKNDRRV66LPtWry77nbzrhGBevLXvdU3JsTawQAAAP5HQ/sa/0sWAAAAaIU6Bvvq9ekD9OLl/RTq76U9uSX61d9X689f7VRFtcPq8QAAAE4bIRMAAABopQzD0IV9Oum7u0br4n5Rcrqk11ela9LzK7QmNd/q8QAAAE5Lg24tf/vttyVJwcHBuuiii447drqmTZvWqM+5K24tBwAAQEuxdE+eHvz0R2UXVUqSfjsgRn84r7uCfT0tngwAALRlTb5ruWEY6tq1q3bu3HncsdPlcLSu21gImQAAAGhJSqtq9dTXu/X22roNPcMDvfXHi3rp3F6RFk8GAADaqob2NY+GnGzUqFEyDEOxsbEnHAMAAADQcgR4e+iPF/XSBX066fef/KC0w2W68d1NmnJWpGZf2FPhgT5WjwgAAPCz2LX8DLEiEwAAAC1VZY1DLy9J1T+W75PD6VKwr6ceOq+7ft0/mkULAADANOxaDgAAAOAX+Xjadc+krvri1uHqFRWkoooa3fvxD5o2Z4Myj5RbPR4AAMBxGh0y3377bX300UcNfv+nn37a6A2CAAAAADSfnp2C9fnNw/XA5G7y9rBpZUq+Jj63Qm+sSpfDyQ1cAADAPTT61nKbzaaOHTsqKyurQe9PSEhQZmamamtrG3M5t8Wt5QAAAGhN0vPLdP8nP2h9+hFJUt+YED31697qEhFo8WQAAKC1MuXW8tNtoDyOEwAAAHBvCWH++uC6IXr84rMU6O2hrZmFOu/FlXr+u72qrnVaPR4AAGjDTHtGZmFhoXx82AERAAAAcHc2m6ErBsfq27tGa3z3CNU4XHr+uxSd/9JKbck4avV4AACgjTIlZH766acqKipSfHy8GZcDAAAA0AQig3302rT+evmKfmrv76W9uaX61T/W6I9f7lR5det6ZBQAAHB/Hg194wsvvKAXXnjhuGOHDx9WYmLiST/jcrlUVFSkoqIiGYahiy++uPGTAgAAADCdYRg6v3cnDe8cpj/N36lPN2dpzup0fb39kB6+oIcm9YyUYRhWjwkAANqABofMwsJC7d+/v/7HhmHI4XAcd+xkPD09dfnll+v//u//GjMjAAAAAIu18/fSs5f21YV9Oumhz7fr4NEK3fjuZo3u0kGPXthT8WH+Vo8IAABauQbvWn7gwIH6aOlyuTRu3DiFhobqk08+OelnbDabgoKClJycLD8/vyYZ2N2wazkAAADamopqh/6+LFX/XJ6maodTXh423Ti6s24e01k+nnarxwMAAC1MQ/tag0Pm/xo7dqzat2+vjz/+uNFDtgaETAAAALRVaYdL9cgXO7QyJV+SFBPqq0cv7Klx3SIsngwAALQkDe1rjd7sp2/fvoqNjVVGRkZjTwEAAACgBUvsEKC3Zw7S3393tiKDfJR5pEIz536v697+XplHyq0eDwAAtDKNXpHp6ekpDw8PlZeXt+mHe7MiEwAAAJDKqmr14uIUvbEqXbVOl3w8bbp1bJKuG5Uobw9uNwcAACfX7CsyIyIi5OPj06YjJgAAAIA6/t4eemBKdy24Y6QGJ4Sqssapp7/Zq8nPr9TKlMNWjwcAAFqBRofM0aNHq7i4WCkpKU05z2l58sknZRiGDMPQunXrGvw5p9Opl156SWeddZZ8fX3VoUMHXX755UpLS2vGaQEAAIDWr0tEoOZdP0TP/7avwgK8lZZfpqve2KBb3tusQ0UVVo8HAABasEaHzAceeEA+Pj665ZZbVF1d3ZQzNcj27dv1yCOPyN/f/7Q/e8MNN+j222+Xy+XS7bffrnPPPVeffvqpBg4caGmYBQAAAFoDwzA0tV+UltwzWlcPi5fNkOb/eEjnPLNcr67YpxqH0+oRAQBAC9ToZ2RmZGRo2bJluvXWW9WxY0fdcsstGjJkiDp06CC7/eTPwImNjW30sMfU1NRoyJAh8vT0VHJyst59912tXbtWQ4YMOeVnly5dqnHjxmnUqFH69ttv5eXlJUlauHChpkyZookTJ2rRokUNnoVnZAIAAAC/bEd2kf7v8+3anFEoSeoSEaA/XtRLQxLbWzsYAABwCw3tax6NvUBCQkL936empurOO+885WcMw1BtbW1jL1nvscce044dO7R582Y99dRTp/XZ1157TZL0pz/9qT5iStLkyZM1ZswYffPNN8rIyGiS4AoAAABA6tkpWB/fOEwfbz6ovyzcrb25pbrs1XW6uF+UHpjSTeGBPlaPCAAAWoBG31rucrlO+8vpPPNbSDZv3qzHHntMjzzyiHr06HHan1+2bJn8/f01fPjwE16bNGmSJGn58uVnPCcAAACA/7DZDF06IEZL7h6t3w2OlWFIn23J0jlPL9fc1emq5XZzAABwCo0OmU6ns1FfZ6KqqkrTpk1T3759dd99953258vKynTo0CElJCT87O3vycnJkvSLz8msqqpScXHxcV8AAAAAGibEz0uPXXyWPr95uHpHB6ukqlazv9ypC19erU0Hjlo9HgAAcGONDplWePjhh5WSkqI333zzF5/DeTJFRUWSpODg4J99/dg9+Mfe93OeeOIJBQcH13/FxMSc9hwAAABAW9cnJkSf3Txcf57aS8G+ntp5qFiX/GON7vt4m46Umb+ZKAAAcH8tJmSuXbtWTz/9tB566CH16tXLsjkeeOABFRUV1X9lZmZaNgsAAADQktlthq4cEqcld4/Wb/pHS5I+/P6gxj69TB9syFAj9yUFAACtVKM3+/lv33//vRYvXqzMzExVVFTojTfeqH+turpaOTk5Mgyj0asXa2trNX36dPXu3Vv3339/o+c8thLzZCsuj90mfrIVm5Lk7e0tb2/vRs8AAAAA4HjtA7z119/00W8Hxuihz7drd06JHvj0Ry348ZD+cklvRYX4Wj0iAABwA2cUMnNycnTVVVdpyZIlkuo2ADIM47iQ6XQ6NXToUOXm5mrjxo3q16/faV+ntLS0/rmV/73T+H8bOnSoJOmzzz7T1KlTf/Y9/v7+6tixo9LT0+VwOE64Pf3YNY49KxMAAACAeQbEh+qr20Zo7pr9+uuiPVqZkq9Jz63QQ+d1128HxsgwDKtHBAAAFmp0yCwtLdW4ceO0e/duderUSZMnT9a8efNUXl5+3Pt8fHx000036eGHH9aHH37YqJDp7e2ta6655mdfW7FihVJSUnThhReqQ4cOio+P/8VzjR49WvPmzdPq1as1atSo415btGiRJJ1wHAAAAIA5POw2XTsyUWO7hevej7Zpc0ah7v/0Ry3YnqMnLzlLHYNZnQkAQFtluBr54Jk///nPevjhhzVkyBAtXLhQwcHB6tixo/Ly8uRwOI57786dO9WrVy8NHTpUq1evbpLBj7n66qv11ltvae3atRoyZEj98fz8fOXn5yssLExhYWH1x5cuXapx48Zp1KhR+vbbb+tXeC5cuFBTpkzRxIkT64NmQxQXFys4OFhFRUX1mwUBAAAAOHMOp0tvrErT09/sVXWtU4HeHvq/C3roN/2jWZ0JAEAr0tC+1ujNfj755BMZhqEXX3zxF58pKUndu3eXp6en9u7d29jLnbaXX35Z3bt318svv3zc8bFjx+raa6/VihUrdPbZZ+v3v/+9pk2bpqlTpyo0NFQvvfSSaTMCAAAAODm7zdD1ozprwe0j1TcmRCVVtbrv4x80c+5G5RRVWj0eAAAwWaNDZmpqqry8vNS/f/9TvtcwDAUFBZ10kx2z/fOf/9QLL7wgSXrhhRe0YMECXXzxxdqwYYO6dOli8XQAAAAA/ltSeIA+vnGo7p/cTV52m5buOayJzy3XJ5sOsrM5AABtSKNvLQ8ICJDL5VJZWVn9sZPdWu50OuXn5yc/Pz8dOXLkzCZ2M9xaDgAAAJgnJbdE93y0TdsO1i2SGN89XI9ffJbCg3wsngwAADRWs99aHh8fr8rKSmVkZJzyvcuXL1d1dbW6devW2MsBAAAAgJIjAvXJTcN076Su8rQb+m5XniY8t0Kfb8lidSYAAK1co0PmlClTJEkvvvjiL76vsrJS9913nwzD0IUXXtjYywEAAACApLqdzW8Zm6Svbhups6KCVVRRo1n/2qrr39mkvBKenQkAQGvV6JB5zz33KCgoSM8//7yeeOIJlZaWHvd6TU2NFi5cqKFDh2rTpk2KiIjQLbfccsYDAwAAAIAkdY0M1Kc3D9PdE7rI027o2525mvjcCv17K6szAQBojRr9jEyp7pbxCy+8UKWlpfL09JTT6ZTD4VBUVJTy8vJUU1Mjl8uldu3aaeHChRo0aFBTzu4WeEYmAAAAYL1dh4p194fbtPNQsSTp3J6R+vPFvRQW4G3xZAAA4FSa/RmZkjR69Ght27ZNl112mVwul2pra+VyuXTw4EFVV1fLbrfr0ksv1aZNm1plxAQAAADgHrp3DNK/bx2uO8d3kYfN0Nc7cjTxuRX66odsq0cDAABN5IxWZP63iooKbdq0SYcOHZLT6VRERIQGDBiggICApji922JFJgAAAOBedmQX6e4Pt2l3Tokk6byzOuqPF/VUe1ZnAgDglhra1xocMlesWCEvLy8NGTKkyYZsDQiZAAAAgPuprnXq5aWp+tvSVDmcLrX399Kfp/bS5LM6Wj0aAAD4H00eMm02mzp27KisrKwTXps9e7aKi4v17LPPNn7iFoqQCQAAALivHw8W6Z6PtmlPbt3qzPN7d9QfL+qlUH8viycDAADHNEvIjIyMVHb2ic+Y6dixo/Ly8uRwOBo/cQtFyAQAAADcW1WtQy8tTtU/lu+Tw+lSWICX/jz1LJ3bK9Lq0QAAgEza7AcAAAAA3J23h133TOqqT28apuTwAOWXVuvGdzfp9g+26EhZtdXjAQCABiJkAgAAAGgT+sSE6MvbRuimMZ1lM6QvtmVr4nPLteDHQ1aPBgAAGoCQCQAAAKDN8PG06/fndtNnNw9Xl4i61Zk3v7dZt7y3WfmlVVaPBwAAfgEhEwAAAECbc2x15m3jkmS3GZr/4yFNfG6FvtyWrQZuIwAAAExGyAQAAADQJnl72HX3xK769y3D1S0yUEfKqnXbB1t007ubdbiE1ZkAALib09q13MvLS8OGDTvhtdWrV6u2tlajR4/+5YsZhhYvXty4Sd0Uu5YDAAAALV91rVN/W5qqvy1NVa3TpRA/T82+oKcu6ttJhmFYPR4AAK1aQ/vaaYXMM2UYhhwOxxmfx50QMgEAAIDWY0d2ke796AftPFQsSRrfPUKPX9xL4UE+Fk8GAEDr1dC+5tHQE06fPr1JBgMAAAAAd9WzU7D+fetwvbJsn15ckqLvduVqQ3qBHrmgp351dhSrMwEAsFCDV2Ti57EiEwAAAGidducU696PftCPWUWSpLFdO+iJX/VWZDCrMwEAaEoN7Wts9gMAAAAAP6NbZJA+u3mY7ju3q7zsNi3dc1gTnluuDzdmsrM5AAAWIGQCAAAAwEl42G26eUyS5t8+Qn1iQlRSWav7PvlB09/cqOzCCqvHAwCgTSFkAgAAAMApJEcE6pMbh+qByd3k5WHTir2HNfG5FfpgQwarMwEAMAkhEwAAAAAawMNu0w2jO2vB7SN1dmyISqtq9cCnP+qqNzYo80i51eMBANDqETIBAAAA4DQkhQfooxuH6aHzusvH06ZVqfk69/kVemfdATmdrM4EAKC5EDIBAAAA4DTZbYauHZmohXeM0qD4UJVVO/R/n2/XFa+vU0YBqzMBAGgOhEwAAAAAaKSEMH/Nu36IZl/QQ76edq1LO6JJz6/Q3NXprM4EAKCJETIBAAAA4AzYbIauHp6gRbNGaUhiqCpqHJr95U5d+cZ6HSpiZ3MAAJoKIRMAAAAAmkBsez+9f+0Q/eminvL1tGvNvgKd+/xKLfzxkNWjAQDQKhAyAQAAAKCJ2GyGrhoar/m3j1Dv6GAVVdTopvc26/cf/6CyqlqrxwMAoEUjZAIAAABAE0vsEKCPbxymm8d0lmFI//o+U+e/tErbMgutHg0AgBaLkAkAAAAAzcDLw6b7zu2mD64boo7BPkrPL9Ml/1ijvy1NlYONgAAAOG2ETAAAAABoRkMS2+vrO0bpvLM6qtbp0l8X7dHlr61TViEbAQEAcDoImQAAAADQzIL9PPXyFf309G/6yN/Lrg3pR3Tu8yv05bZsq0cDAKDFIGQCAAAAgAkMw9Cv+0dr/u0j1TcmRCWVtbrtgy2668OtKmUjIAAATomQCQAAAAAmig/z10c3DtXt45JkM6RPN2dpygsrtTnjqNWjAQDg1giZAAAAAGAyT7tNd03sqn/dMFRRIb7KOFKu37yyVi98l6Jah9Pq8QAAcEuETAAAAACwyMD4UC24Y6Qu7NNJDqdLz323V5e9uk6ZR8qtHg0AALdDyAQAAAAACwX7eurFy/vp+d/2VYC3h74/cFRTXlipz7dkWT0aAABuhZAJAAAAAG5gar8oLbxjpPrHtVNJVa1m/Wur7pi3RcWVNVaPBgCAWyBkAgAAAICbiAn107+uH6I7x3eR3Wbo31uzNfn5ldq4/4jVowEAYDlCJgAAAAC4EQ+7TXeMT9aHNwxVTKivsgor9Nt/rtWz3+xRDRsBAQDaMEImAAAAALih/nHttOD2kfrV2VFyuqQXl6TqN6+s1YGCMqtHAwDAEoRMAAAAAHBTgT6eevbSvnrx8n4K9PHQ1sxCTXlhpT76PlMul8vq8QAAMBUhEwAAAADc3IV9OmnhHSM1KD5UZdUO3fvxD7rl/c3KL62yejQAAExDyAQAAACAFiC6nZ8+uH6I7p3UVXaboQU/5mjicyv01Q/ZrM4EALQJhEwAAAAAaCHsNkO3jE3S5zcPV7fIQB0pq9at72/Rze9t1uESVmcCAFo3QiYAAAAAtDBnRQfri1tH6PZzkuVhM7Rwe44mPrdc/96axepMAECrRcgEAAAAgBbIy8OmuyZ00ee3DFf3jkE6Wl6jO+Zt1Q3vbFJeSaXV4wEA0OQImQAAAADQgvWKCta/bxmuO8d3kYfN0Dc7czXh2RX6bMtBVmcCAFoVQiYAAAAAtHBeHjbdMT5ZX9w6Qj07BamookZ3/mubrnv7e+UWszoTANA6EDIBAAAAoJXo0SlIn98yXHdP6CJPu6HvduVpwrPL9fEmVmcCAFo+QiYAAAAAtCKedptuOydZX942QmdFBau4slb3fLRNM+duVE4RqzMBAC0XIRMAAAAAWqFukUH67OZhuu/crvKy27R0z2FNeG65PtyYyepMAECLRMgEAAAAgFbKw27TzWOSNP/2EeoTE6KSylrd98kPmv7mRmUXVlg9HgAAp4WQCQAAAACtXHJEoD65cajun9xNXh42rdh7WBOfW6EPNmSwOhMA0GIQMgEAAACgDfCw23Tj6M5acPtI9YsNUWlVrR749EdNm7NBB4+WWz0eAACnRMgEAAAAgDYkKTxAH984TA9O6S5vD5tWpuRr0nMr9N76A6zOBAC4NUImAAAAALQxdpuh60YlauEdIzUgrp3Kqh168LPt+t3r65V5hNWZAAD3RMgEAAAAgDYqsUOA/nXDUP3f+T3k42nTmn0FmvT8Cr29dr+cTlZnAgDcCyETAAAAANowu83QNSMS9PUdozQoPlTl1Q49/O8duvy1dUrPL7N6PAAA6hEyAQAAAACKD/PXvOuHaPYFPeTradf69CM69/kV+tvSVNU4nFaPBwAAIRMAAAAAUMdmM3T18AQtmjVKI5LCVFXr1F8X7dEFL63StsxCq8cDALRxhEwAAAAAwHFi2/vpnWsG6Znf9FGIn6d255To4r+v1h+/3KmyqlqrxwMAtFGETAAAAADACQzD0CX9o/XdXaN1Ud9OcrqkOavTNfG5FVq2J8/q8QAAbRAhEwAAAABwUmEB3nrhsn56c8ZARYX4KquwQle/uVGz5m1RQWmV1eMBANoQQiYAAAAA4JTGdg3XN3eO0szhCbIZ0udbszX+2eX6dPNBuVwuq8cDALQBhEwAAAAAQIP4e3vo4Qt66NObh6tbZKCOltforg+3adqcDco8Um71eACAVo6QCQAAAAA4LX1jQvTlbSN076Su8vKwaWVKviY+t0KvrUhTrcNp9XgAgFaKkAkAAAAAOG2edptuGZukr+8YqSGJoaqoceixBbt08d/XaHtWkdXjAQBaIUImAAAAAKDREjsE6IPrhujJS85SkI+Hfswq0kV/W60nFu5SRbXD6vEAAK0IIRMAAAAAcEYMw9BvB8bqu7tH67yzOsrhdOmfy9M06fkVWp2ab/V4AIBWgpAJAAAAAGgS4YE++tvvztbr0waoY7CPMo6U63evr9c9H23T0bJqq8cDALRwhEwAAAAAQJMa3yNC39w5StOGxskwpI83HdT4Z5fri23ZcrlcVo8HAGihCJkAAAAAgCYX6OOpP17USx/fOFTJ4QEqKKvW7R9s0cy5G5VVWGH1eACAFoiQCQAAAABoNv3jQvXV7SN05/gu8rLbtHTPYU14drneXJ0uh5PVmQCAhiNkAgAAAACalbeHXXeMT9aCO0ZoYHw7lVc79OiXO3Xhy6u06cBRq8cDALQQhEwAAAAAgCmSwgP1r+uH6s9TeynQx0M7sot1yT/W6O4PtymvpNLq8QAAbo6QCQAAAAAwjc1m6MohcVp6zxhdOiBakvTJ5oM65+nlemNVumocTosnBAC4K8PFlnFnpLi4WMHBwSoqKlJQUJDV4wAAAABAi7Il46ge+WKHfjhYJEnqEhGg2Rf21LDOYRZPBgAwS0P7GiHzDBEyAQAAAODMOJ0uffh9pp78ereOltdIks7r3VEPTumuTiG+Fk8HAGhuDe1r3FoOAAAAALCUzWboskGxWnrPGE0bGiebIc3/4ZDOeWa5/rY0VVW1DqtHBAC4AVZkniFWZAIAAABA09qZXaxHvtiujfvrdjSPb++nRy7oqbHdwi2eDADQHLi13CSETAAAAABoei6XS59vzdLjC3brcEmVJGl893A9fH5Pxbb3s3g6AEBTImSahJAJAAAAAM2npLJGLy1J1ZxV6ap1uuTlYdONoxJ105gk+XrZrR4PANAECJkmIWQCAAAAQPNLzSvR7C92alVqviQpKsRX/3d+d03qGSnDMCyeDgBwJgiZJiFkAgAAAIA5XC6Xvt6eoz/P36WswgpJ0sjkMD1yQU8lhQdYPB0AoLEImSYhZAIAAACAuSqqHfrHslS9siJN1bVOedgMXTMiQbedk6wAbw+rxwMAnCZCpkkImQAAAABgjQMFZfrTVzv13a48SVJ4oLf+MKW7LurbidvNAaAFIWSahJAJAAAAANZaujtPj365Q/sLyiVJg+JDNfvCnurRiT+jAUBLQMg0CSETAAAAAKxXVevQ6yvT9fKSVFXUOGQzpCuHxOnO8V3Uzt/L6vEAAL+AkGkSQiYAAAAAuI/swgo9tmCX5v9wSJIU4uepuyZ00RWDYuVht1k8HQDg5xAyTULIBAAAAAD3s2Zfvv745U7tzimRJHWJCNAjF/TU8KQwiycDAPwvQqZJCJkAAAAA4J5qHU7N25ipZ77Zo6PlNZKkST0j9OCUHopt72fxdACAYxra11rEuvrKykrdddddGjVqlDp16iQfHx9FRkZq+PDhevPNN1VTU9Og8yxbtkyGYZz0a+7cuc37EwEAAAAAmMbDbtOVQ+K09J4xunpYvOw2Q4t25Gr8s8v11Ne7VVZVa/WIAIDT0CJWZObn5ysmJkaDBg1Sly5d1KFDBx09elQLFy7UgQMHNHHiRC1cuFA22y932WXLlmns2LEaPXq0xowZc8LrU6dOVd++fU9rNlZkAgAAAEDLkJJboj9+tVMrU/IlSeGB3rp/cjdN7Rslm82weDoAaLsa2tc8TJyp0UJDQ1VUVCQvr+N3mqutrdWECRP0zTffaOHChTrvvPMadL4xY8Zo9uzZzTApAAAAAMBdJUcE6u2Zg/Tdrjz9ef5OHSgo110fbtPbaw/okQt6qF9sO6tHBAD8ghZxa7nNZjshYkqSh4eHLr74YklSamqq2WMBAAAAAFoYwzA0oUeEvrlzlO6f3E3+XnZtzSzUxX9fo7s+3Krc4kqrRwQAnESLWJF5Mk6nU19//bUkqVevXg3+XEpKip5//nlVVFQoOjpa48aNU1RUVHONCQAAAABwM94edt04urN+1S9KTy3ao483HdSnm7P09fYc3TI2SdeMSJCPp93qMQEA/6VFPCPzmOrqaj3++ONyuVwqKCjQ4sWLtXv3bs2YMUNz5sw55eePPSPzf3l4eOi2227TX//6V9ntv/wfqqqqKlVVVdX/uLi4WDExMTwjEwAAAABasG2ZhZr95Q5tySiUJMWG+unB87prYo8IGQbPzwSA5tTQZ2S2qJBZWlqqwMDA+h8bhqG7775bTzzxhDw8Tr24dMeOHfrqq690/vnnKz4+XmVlZVq7dq3uv/9+7d69W3fddZeeeeaZXzzH7Nmz9eijj55wnJAJAAAAAC2b0+nSv7dl6S8Ldyu3uG4By/Ck9nr4/J7qGhl4ik8DABqrVYbMY5xOp7Kzs/Xll1/qD3/4g3r27KkFCxY0OiTm5OSod+/eOnr0qLKyshQeHn7S97IiEwAAAABat7KqWv1j2T69ujJN1bVO2W2GrhwcqzsndFGI34n7NwAAzkxDQ2aL2Oznf9lsNkVHR+umm27Sq6++qtWrV+uxxx5r9PkiIyN10UUXqba2VuvXr//F93p7eysoKOi4LwAAAABA6+Hv7aF7JnXV4rtGa3KvSDmcLr219oDGPL1Mb6/dr1qH0+oRAaBNapEh879NnDhRUt3zL89EWFiYJKmsrOxMRwIAAAAAtAIxoX76x5X99f61g9UtMlCF5TV6+N87dN6Lq7QmNd/q8QCgzWnxITM7O1uS5OnpeUbnObYSMz4+/kxHAgAAAAC0IsOSwvTVbSP0p6m9FOLnqT25Jbri9fW64Z3vtT+fxTAAYJYWETJ37typ8vLyE46Xl5frrrvukiRNmTKl/nh+fr52796t/Pzj/w/Zpk2bfvb8L7zwgpYuXark5GQNHDiwCScHAAAAALQGHnabrhoSp2X3jNHVw+JltxlatCNXE55brj9/tVNF5TVWjwgArV6L2Oxn9uzZevbZZzVixAjFx8crKChIWVlZWrhwoQoKCjRy5EgtWrRIvr6+9e9/9NFH9cgjj2j27Nn154mPj5enp6cGDBig6OholZWVad26ddqyZYtCQkK0aNEiDRo06LRma+jDSAEAAAAArcfe3BI9vmCXlu05LEkK8fPUrHOS9bshcfK0t4g1QwDgNhra1zxMnKnRzj//fGVnZ2vNmjVau3atSktLFRwcrN69e+uyyy7TzJkz5eFx6p/KTTfdpEWLFmnFihUqKCiQzWZTXFycZs2apbvvvlvR0dEm/GwAAAAAAC1dl4hAzZ0xSMv3HtZj83dqb26pZn+5U2+vPaA/TOmuc7qHyzAMq8cEgFalRazIdGesyAQAAACAtq3W4dSH3x/Us9/uUX5ptSRpWOf2evC87urZKdji6QDA/TW0rxEyzxAhEwAAAAAgSSWVNfr7sn16Y1W6qmudMgzp0v4xuntiF4UH+Vg9HgC4LUKmSQiZAAAAAID/lnmkXE8t2qMvt2VLkvy87LppdGddOzJRvl52i6cDAPdDyDQJIRMAAAAA8HM2HTiqP8/fqS0ZhZKkjsE+uu/crrqoT5RsNp6fCQDHEDJNQsgEAAAAAJyMy+XSVz8c0l8W7lZWYYUkqXd0sB46r4cGJYRaPB0AuAdCpkkImQAAAACAU6mscejN1fv1t6WpKq2qlSRN7hWp+yd3U1x7f4unAwBrETJNQsgEAAAAADRUfmmVnvt2rz7YkCGnS/K0G7p6WLxuHZesYF9Pq8cDAEsQMk1CyAQAAAAAnK49OSV6bMEurdh7WJLUzs9Ts8Z30RWDY+Vpt1k8HQCYi5BpEkImAAAAAKCxlu3J02Pzdyklr1SSlNjBXw9O6a5x3cJlGGwIBKBtIGSahJAJAAAAADgTtQ6n5m3M1HPf7lVBWbUkaXhSez04pYd6dOLPmQBaP0KmSQiZAAAAAICmUFxZo78v3ac5q9JV7XDKMKQLenfSbeOSlBwRaPV4ANBsCJkmIWQCAAAAAJpS5pFy/eXr3Zr/wyFJkmFIU3p11K3jktS9I3/uBND6EDJNQsgEAAAAADSHHdlFenlJqhZuz6k/NqlnhG4bl6xeUcEWTgYATYuQaRJCJgAAAACgOe3JKdFLS1I0/8dDOvYn+PHdw3XbuGT1iQmxdDYAaAqETJMQMgEAAAAAZkjNK9HLS1L1xbZsOX/6k/zoLh10+znJ6h/XztrhAOAMEDJNQsgEAAAAAJgp7XCp/rZ0nz7fmiXHT0VzRFKYbj8nWYMSQi2eDgBOHyHTJIRMAAAAAIAVDhSU6e9L9+mTzQdV+1PQHJIYqtvPSdbQxPYyDMPiCQGgYQiZJiFkAgAAAACslHmkXP9Yvk8ffZ+pGkfdH/EHxrfT7ecka0RSGEETgNsjZJqEkAkAAAAAcAfZhRV6Zfk+zduYqepapySpX2yIbj8nWWO6dCBoAnBbhEyTEDIBAAAAAO4kt7hS/1yepvfWH1DVT0Gzd3Swbh+XrHO6hxM0AbgdQqZJCJkAAAAAAHeUV1Kp11em6521B1RR45Ak9egYpNvPSdLEHpGy2QiaANwDIdMkhEwAAAAAgDsrKK3S66vS9faa/SqrrguaXSMCdds5SZrcq6PsBE0AFiNkmoSQCQAAAABoCY6WVWvO6nTNXb1fJVW1kqT49n6aMTxBv+4fLX9vD4snBNBWETJNQsgEAAAAALQkReU1enNNuuasSldxZV3QDPTx0GUDYzRtaLxiQv0snhBAW0PINAkhEwAAAADQEpVV1erTzQf15ur9SssvkyTZDGlSz0jNHJGgAXHt2BgIgCkImSYhZAIAAAAAWjKn06Xlew9rzup0rUzJrz/eKypIM4cn6PzeneTlYbNwQgCtHSHTJIRMAAAAAEBrsSenRHPXpOvTzVmqqnVKkjoEeuuqIXG6YnCswgK8LZ4QQGtEyDQJIRMAAAAA0NocKavWBxsy9Pba/cotrpIkeXnYNLVvJ80YnqDuHfnzL4CmQ8g0CSETAAAAANBaVdc6tXD7Ic1Zla5tB4vqjw/r3F4zhydoXLdw2Ww8RxPAmSFkmoSQCQAAAABo7VwulzZnFGrO6nR9vT1HDmddSohv76erh8Xr1wNiFODtYfGUAFoqQqZJCJkAAAAAgLYkq7BCb6/drw/WZ6i4slaSFOjtod8OjNH0YfGKCfWzeEIALQ0h0ySETAAAAABAW1ReXatPNmfpzdXpSjtcJkmyGdKEHhGaOTxBgxJCZRjcdg7g1AiZJiFkAgAAAADaMqfTpeUphzVnVbpWpuTXH+/ZKUjXjUzUBX06yc5zNAH8AkKmSQiZAAAAAADUSckt0Ztr9uvTzQdVWeOUJHWNCNTvJ3fV2K7hrNAE8LMImSYhZAIAAAAAcLyjZdV6b/0Bvboirf45moPiQ/X7yd3UP66dxdMBcDeETJMQMgEAAAAA+HlF5TX6+/JUzV29X1W1dSs0J/WM0L2TuikpPMDi6QC4C0KmSQiZAAAAAAD8skNFFXr+2xR9tClTTlfdpkCXDojRrPFdFBnsY/V4ACxGyDQJIRMAAAAAgIZJyS3RU4v26NuduZIkbw+bZo5I0I2jOyvY19Pi6QBYhZBpEkImAAAAAACnZ9OBI/rLwt3auP+oJCnY11O3jO2saUPj5eNpt3g6AGYjZJqEkAkAAAAAwOlzuVxavCtPTy3arb25pZKkTsE+unNCF/3q7GjZbexwDrQVhEyTEDIBAAAAAGg8h9OlTzcf1HPf7lV2UaUkqUtEgO6b1E3ndA+XYRA0gdaOkGkSQiYAAAAAAGeussahd9Ye0MtLU1VUUSNJGhjfTvdP7qb+caEWTwegOREyTULIBAAAAACg6RRV1OiV5fv05up0VdY4JUkTekTovkldlRwRaPF0AJoDIdMkhEwAAAAAAJpeTlGlXli8V//amCmnS7IZ0q/7R+vOCV3UMdjX6vEANCFCpkkImQAAAAAANJ/UvFI9vWiPvt6RI0ny9rDp6uHxunl0koL9PC2eDkBTIGSahJAJAAAAAEDz25xxVH9ZuFsb0o9IkoJ8PHTTmCRdOSRWgT4ETaAlI2SahJAJAAAAAIA5XC6Xlu05rL8s3K09uSWSJD8vuy7q20m/GxynXlHBFk/4/+3deXTU5b3H8c9Mlsm+TkISwhIgbAFBQBbZRGrY6oJgcYG6cj1tPVcECpaeq1ILXG+9HqvH24rY0utS8BZtrbKvyr4pahAFCSQQkpAEEpKQbea5f9CMjEmAhGQySd6vczgnPM/z+83zy/HbpB+e3/MAaAiCTA8hyAQAAAAAwLMcTqO/f3Zaf9j2nY7lFrva+yWG64EhnXR7vwQF+vs04wwB1AdBpocQZAIAAAAA0DyMMdqbXqB39mRozVdnVOm4FHGEBvhqyoBEPTCkIyedAy0AQaaHEGQCAAAAAND88orL9X/7T+ndvSeVWXDR1T44KUoPDOmo8X3iZPNllSbgjQgyPYQgEwAAAAAA7+F0Gn16LE/v7D6pjV/nyPmv1CMq2F/3DErU/YM7qlN0cPNOEoAbgkwPIcgEAAAAAMA7nSm8qBV7M7ViX4Zyispd7SOT7Zo+tJPG9oyVr4+1GWcIQCLI9BiCTAAAAAAAvFuVw6lNR3L1zp4MffLtWVd7uzCb7r2po+4d3EHx4YHNOEOgbSPI9BCCTAAAAAAAWo6T+SX6695Mvbc/UwUlFZIkq0Ua26udpg/tpJHd7LJaLc08S6BtIcj0EIJMAAAAAABanvIqh9Z+la139mRob3qBq71DVKDuH9xJ9wxKlD3E1owzBNoOgkwPIcgEAAAAAKBlO5pzQe/sydCqg6d0oaxKkuTnY9H4PvG696YOGtolWj6s0gSaDEGmhxBkAgAAAADQOlyscOifX2TpnT0ZOpR53tUeHx6gyTe2190DEtUtNqT5Jgi0UgSZHkKQCQAAAABA6/PV6UK9uzdDHx3KUtG/VmlKUr/EcE0ZmKjbb0hQZLB/M84QaD0IMj2EIBMAAAAAgNarrNKhTV/n6v2Dp7T127NyOC/FKH4+Fo3pEau7ByTq1p6x8ve1NvNMgZaLINNDCDIBAAAAAGgb8orL9Y/Ps/T+wVNKyypytUcE+emOfgm6e0Ci+iWGy2JhP02gPggyPYQgEwAAAACAtudIdpE+OHhaH3x2WrkXyl3tXWOCdfeARE2+sb0SIgKbcYZAy0GQ6SEEmQAAAAAAtF0Op9H2Y3l6/+AprUvLVlmlU5JksUj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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax = dta.mean().plot(grid=False)\n", "ax.set_xlabel(\"Year\", size=17)\n", "ax.set_ylabel(\"Fertility rate\", size=17)\n", "ax.set_xlim(0, 51)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we perform the PCA:" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "execution": { "iopub.execute_input": "2024-03-18T09:21:19.934711Z", "iopub.status.busy": "2024-03-18T09:21:19.932893Z", "iopub.status.idle": "2024-03-18T09:21:20.131248Z", "shell.execute_reply": "2024-03-18T09:21:20.130477Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "pca_model = PCA(dta.T, standardize=False, demean=True)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Based on the eigenvalues, we see that the first PC dominates, with perhaps a small amount of meaningful variation captured in the second and third PC's." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2024-03-18T09:21:20.135803Z", "iopub.status.busy": "2024-03-18T09:21:20.134536Z", "iopub.status.idle": "2024-03-18T09:21:20.725061Z", "shell.execute_reply": "2024-03-18T09:21:20.724267Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig = pca_model.plot_scree(log_scale=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Next we will plot the PC factors. The dominant factor is monotonically increasing. Countries with a positive score on the first factor will increase faster (or decrease slower) compared to the mean shown above. Countries with a negative score on the first factor will decrease faster than the mean. The second factor is U-shaped with a positive peak at around 1985. Countries with a large positive score on the second factor will have lower than average fertilities at the beginning and end of the data range, but higher than average fertility in the middle of the range." ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "execution": { "iopub.execute_input": "2024-03-18T09:21:20.730128Z", "iopub.status.busy": "2024-03-18T09:21:20.728868Z", "iopub.status.idle": "2024-03-18T09:21:21.115645Z", "shell.execute_reply": "2024-03-18T09:21:21.114938Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/tmp/ipykernel_3647/427128218.py:3: UserWarning: set_ticklabels() should only be used with a fixed number of ticks, i.e. after set_ticks() or using a FixedLocator.\n", " ax.set_xticklabels(dta.columns.values[::10])\n" ] }, { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(figsize=(8, 4))\n", "lines = ax.plot(pca_model.factors.iloc[:, :3], lw=4, alpha=0.6)\n", "ax.set_xticklabels(dta.columns.values[::10])\n", "ax.set_xlim(0, 51)\n", "ax.set_xlabel(\"Year\", size=17)\n", "fig.subplots_adjust(0.1, 0.1, 0.85, 0.9)\n", "legend = fig.legend(lines, [\"PC 1\", \"PC 2\", \"PC 3\"], loc=\"center right\")\n", "legend.draw_frame(False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "To better understand what is going on, we will plot the fertility trajectories for sets of countries with similar PC scores. The following convenience function produces such a plot." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "execution": { "iopub.execute_input": "2024-03-18T09:21:21.120696Z", "iopub.status.busy": "2024-03-18T09:21:21.119466Z", "iopub.status.idle": "2024-03-18T09:21:21.128775Z", "shell.execute_reply": "2024-03-18T09:21:21.128132Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "idx = pca_model.loadings.iloc[:, 0].argsort()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "First we plot the five countries with the greatest scores on PC 1. These countries have a higher rate of fertility increase than the global mean (which is decreasing)." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "execution": { "iopub.execute_input": "2024-03-18T09:21:21.134513Z", "iopub.status.busy": "2024-03-18T09:21:21.132791Z", "iopub.status.idle": "2024-03-18T09:21:21.144332Z", "shell.execute_reply": "2024-03-18T09:21:21.143706Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "def make_plot(labels):\n", " fig, ax = plt.subplots(figsize=(9, 5))\n", " ax = dta.loc[labels].T.plot(legend=False, grid=False, ax=ax)\n", " dta.mean().plot(ax=ax, grid=False, label=\"Mean\")\n", " ax.set_xlim(0, 51)\n", " fig.subplots_adjust(0.1, 0.1, 0.75, 0.9)\n", " ax.set_xlabel(\"Year\", size=17)\n", " ax.set_ylabel(\"Fertility\", size=17)\n", " legend = ax.legend(\n", " *ax.get_legend_handles_labels(), loc=\"center left\", bbox_to_anchor=(1, 0.5)\n", " )\n", " legend.draw_frame(False)" ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "execution": { "iopub.execute_input": "2024-03-18T09:21:21.149761Z", "iopub.status.busy": "2024-03-18T09:21:21.148110Z", "iopub.status.idle": "2024-03-18T09:21:21.405519Z", "shell.execute_reply": "2024-03-18T09:21:21.404711Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "labels = dta.index[idx[-5:]]\n", "make_plot(labels)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here are the five countries with the greatest scores on factor 2. These are countries that reached peak fertility around 1980, later than much of the rest of the world, followed by a rapid decrease in fertility." ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "execution": { "iopub.execute_input": "2024-03-18T09:21:21.409360Z", "iopub.status.busy": "2024-03-18T09:21:21.408979Z", "iopub.status.idle": "2024-03-18T09:21:21.741088Z", "shell.execute_reply": "2024-03-18T09:21:21.740244Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "idx = pca_model.loadings.iloc[:, 1].argsort()\n", "make_plot(dta.index[idx[-5:]])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally we have the countries with the most negative scores on PC 2. These are the countries where the fertility rate declined much faster than the global mean during the 1960's and 1970's, then flattened out." ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "execution": { "iopub.execute_input": "2024-03-18T09:21:21.746776Z", "iopub.status.busy": "2024-03-18T09:21:21.745130Z", "iopub.status.idle": "2024-03-18T09:21:21.977728Z", "shell.execute_reply": "2024-03-18T09:21:21.976783Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "make_plot(dta.index[idx[:5]])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can also look at a scatterplot of the first two principal component scores. We see that the variation among countries is fairly continuous, except perhaps that the two countries with highest scores for PC 2 are somewhat separated from the other points. These countries, Oman and Yemen, are unique in having a sharp spike in fertility around 1980. No other country has such a spike. In contrast, the countries with high scores on PC 1 (that have continuously increasing fertility), are part of a continuum of variation." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "execution": { "iopub.execute_input": "2024-03-18T09:21:21.981568Z", "iopub.status.busy": "2024-03-18T09:21:21.981224Z", "iopub.status.idle": "2024-03-18T09:21:22.353408Z", "shell.execute_reply": "2024-03-18T09:21:22.352530Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "array(['Oman', 'Yemen, Rep.'], dtype=object)" ] }, "execution_count": 13, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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ozn2Kx6OiPJ/Wzi+0sGUA7CIe8bWIM1kBAM5BbU/n8g4forXzC1Vz+zRVzpuimtunae38wq6LPLJsAHth1IAz8bmhO/pDcmEiUQBWGWx1AwAAsUdtT+fL8aUFZRuTZQPYT+eFfE/dL+TtMmqgsaVNzYc7lD06zTZtsoqTPjfEH/0h+USSbMBnCiAeyGQFgCREbc/kQ5YNYD9OGDVAXcLenPC5IXHoD8mHZAMAViHICgBJqqK8QEV5vqBlRXk+VZQXWNQiRIthb4lHWQZEwgkX8tyg6c0JnxsSh/6QfEg2AGAVygUAQJLqrO25u7VdTYfaGSLqYAx7SxzKMmAgOi/kQ02uYvX3kmHQfbP754bEoj8kp4rygl4TiZJsACDeyGQFgCSX40tT6cQxXCQ4GFk2iUPWHwbKzqMGGAYdmp0/NyQe/SH59DeRKADEA5msAADYHFk2iUHWH6Jh51ED3KAJzc6fGxKP/pC8ek4kCgDxRCYrAAAOQJZN/JH1BzPsOGrArnUJ7VTz2I6fG6zj1v5gp+8kADgZmawAADgAWTbxR9YfkpGd6hJS8xiwF76TABBbHsPoMVVxGJs3b9aWLVuUkZGhW2+9NaLHPPbYY/rwww81ffp0XXLJJdG2E/8rEAjI6/XK7/crIyPD6uYAAJBU5qzeFrIsw9r5hRa2DDDHDjdo+H4B9sJ3EoCbxSO+FnG5gL///e/6+te/rvvuu0/Z2dkRP0FOTo6WLVum6667TsePH4+mjQAAAAlBWQYkK6uHQXfWPD7VI7+je81jAInDdxIAYi/icgHr16/X/v379cUvflFXXXVVxE9w1VVXaebMmXrxxRf1m9/8Rtdee2007QQAAIg7yjIA8RFJzWO+a0Di8J0EgNiLOJP1d7/7nTwej77zne8M+Em+853vyDAMPfPMMwN+bCxt375dl19+uUaOHKm0tDRNnTpV69evH9A+jh07pvvvv1/5+fkaOnSoxo8frwULFujgwYO9tm1qapLH4wn5b9myZTF6ZQAAIJaszvoDkg01jwF74TsJALEXcSbrm2++KUmaPn36gJ/k0ksvlST9+c9/HvBjY6WmpkZlZWUaOnSoZs+erfT0dG3YsEGzZs3Snj17tHjx4n73cfr0aV155ZWqrq7W1KlTdfXVV6uhoUGrVq3SSy+9pK1btyozM7PX4y688MI+s3+nTZsWg1cGAACAxpY2NR/uIPvYpnIzR6g4PzNk/Uc+MyCx+E4C6I7zqNiIeOKr4cOHa+jQoTp8+HBUTzRq1CgdP35c7e2Jr+1y8uRJnXfeedq7d6+2bt2qyZMnS5L8fr8KCwvV1NSkd999V1lZWWH3U1lZqW9+85sqLy/XE088IY/HI0n693//d910001asGCBVq5c2bV9U1OTcnJydP311+tXv/pVTF4LE18BAAD8H2bHdg5/xwktrKrnswJsgu8kgHDnUYfajyV14DUe8bWIg6zp6ek6ffp01EHSESNGyOPx6MMPP4zq8WZs2rRJZWVlmjdvnn75y18GrVuzZo3mzp2r++67T//6r/8adj+f//zn9dprr6mpqSkoIGsYhvLy8vQ///M/amlp0bBhwyQRZAUAAIg3Zsd2nlA1j8miAaxBHXLAvfo6jxqkj+cpONJxomtZMt6AiUd8LeJyAWPGjFFTU5P27dun8ePHD+hJ9u3bp46ODuXk5Ay4gbGwefNmSdLMmTN7rSsrK5Mk1dbWht3HRx99pNdff10TJ07slfHq8Xg0Y8YMrVy5Um+88Ya+8IUvBK3ft2+ffvazn8nv9+sf/uEfNG3aNJ1zzjkmXhEAAAA6Z8fuqfvs2AQM7CfHFxzIIRsZsFbP7yQAdwh1HnVaCgqwSlLdrlYtrKrnBnY/Ip74qrDw4zdyw4YNA36S3/zmN5KkKVOmDPixsdDQ0CBJys/P77Vu7NixGjFiRNc2obz33ns6ffp0n/vovu++9vPiiy/qu9/9ru6++27dcMMNys/P13XXXRdRVvCxY8cUCASC/gEAACCy2bFhf4uqdqhuV2vQss6LOQAAEB/9nUd11/0GNkKLOMh61VVXyTAM/fCHP9SBAwcifoJ9+/Zp+fLl8ng8fU7+lAh+v1+S5PV6+1yfkZHRtY2ZfXTfTvq4ju29996rP//5zzp69KgOHz6sP/7xjyosLNTjjz+uOXPm9Nv2Bx98UF6vt+vfhAkT+n0MAACAGzA7tvN1ZtGc6lHBjIs5AADiq7/zqL5wAzu8iIOsX/va13T++eerpaVF06dP19tvv93vY95++21ddtllOnjwoM477zzNmjXLVGOdZsyYMbr//vt10UUXyev1atSoUbr00kv18ssva+LEiXrmmWf05ptvht3HkiVL5Pf7u/7t2bMnQa0HAACwt87ZsVP+dzLSTikej4rzMxn+6gBkIwNIlMaWNtXsPOiKmzdueq2IXqjzqHC4gR1exDVZPR6P1q1bp0suuUQ7d+7UxRdfrMsvv1xf/vKXdcEFF+jMM8+UJB0+fFhvv/22nnvuOb3wwgs6efKkMjIy9NRTT8kzgA8uljqzT0NlqwYCAY0aNcr0PrpvF87w4cN13XXX6Z577lFdXZ0uuuiikNumpqYqNTW1330CAAC4UUV5Qa/ZsYvyfKooL7CwVYgU2chA/DCZ3MfcVPfZTa8VsdHXedSo4UMU+PsJneo2yKRzUlE3/5ZEIuIgqyR9+tOf1h//+Ed97WtfU1NTk5577jk999xzIbc3DENZWVlav369Jk2aZLqx0epeL/Xiiy8OWnfgwAG1tbV11ZwNJTc3V4MGDQpZuzVc3de++Hw+SYqoLisAAAD65h0+RGvnFzI7tkN1ZtH0nNmYizkgegTagoWr+5xsk/i46bUiNvo6jzpz+BncwI5SxOUCOn3mM5/R22+/rYceeki5ubkyDKPPf7m5uXr44Yf19ttvWzbhVaeSkhJJ0qZNm3qtq66uDtomlGHDhqmwsFA7d+5Uc3Nz0DrDMPTiiy8qLS1Nn/nMZyJq0+uvvy5Jys7Ojmh7AAAAhJbjS1PpxDEE5RyoorxARXm+oGVczCESDInuG5PJ/R831X1202tF7HU/j+oMvNbcPk2V86ao5vZpWju/0JU3aQZqQJmsnUaMGKHvfe97+t73vqcPPvhA77zzjg4dOiRJGj16tM477zydddZZMW2oGZdeeqlyc3P15JNPatGiRZo8ebKkj4f+L1++XGeccUbQJFT79++X3+/XuHHjgob/L1iwQFu3btWSJUv0xBNPdJU/WLlypRobG7VgwQINGzasa/v6+npNnjy5V5mEZ555RmvWrNGoUaP0pS99KY6vHACswfA0AECkyEbGQJGp+bG+zrc6A209dQ+0uen7FUnd52R5P9z0WpEYOT6OxwMVVZC1u7POOstWAdW+DB48WKtWrVJZWZmKi4s1e/Zspaena8OGDWpubtaKFSuCMkqXLFmiNWvWqLKyUnPnzu1afv3112vdunWqqqrS7t27VVJSol27dumZZ55RTk6OfvCDHwQ977/8y7/ovffe0+c+9zmdffbZOnXqlN5880298sorSk1N1a9+9auIargCgFNw0QMA7hSLm2tczCFSbh8SHe58i0BbMDfVfXbTawXsKqog69atW/Xmm28qEAho5MiRKiwsDDt5kx2UlpbqlVde0dKlS7Vu3TqdOHFCkyZN0sMPP6xZs2ZFtI9Bgwbp2Wef1UMPPaRf//rXeuyxx3TmmWdq/vz5+sEPfqDMzMyg7b/xjW9ow4YN2rp1q1pbW3X69GmdddZZuuGGG7R48WKdd9558XipAGAZt1/0AIDbcHMNiUamZvjzrWVXfDLsY90WaHNT3Wc3vVbArjyG0aNgRxjvvPOOysvL9fbbb/daN3XqVFVVVekTn/hETBuIYIFAQF6vV36/XxkZGVY3BwC6NLa0afqjtSHX19w+jZM7AEgyc1ZvC3lBz801xEPNzoOaV7k95PrKeVNUOnFMAluUWJGcby199q98L7vxd5zoNYlPst4MctNrBcyKR3wt4kzWw4cP69JLL9WBAwfUV1x269atmjlzpurr64PqkgIA3IHhaQDgLk7MKKRmuPO5fUh0JOdbFeUFzAzejZvqPrvptQJ2FHGQ9d/+7d+0f/9+DRs2THfffbdmz56t8ePH6/3339fq1av12GOPqaGhQZWVlbr55pvj2WYAgA25/aIH1iFoAljDSTfXKGuQPNw+JDqS8y0CbX1zU91nN71WwE4GRbrhf/7nf8rj8ehHP/qR7rrrLuXm5mro0KE699xz9fDDD+vOO++UYRh6/vnn49leAIBNdV70pHg8QctTPB4V52dyooeYO9pxXHNWb9P0R2s1r3K7Slds1pzV2+TvOGF10wBXcNLNtXA1LOE8FeUFKsrzBS1zS6bmQM63cnxpKp04hnMwAEiQiGuyjho1SoFAQB9++KGGD+99QtXY2Ki8vDzl5+dr586dMW8oPkZNVsAZ3JpZRx0oJBK1IAHrOeF7SM1we4jHuZFbMzU53wIA8yytyRoIBJSZmdlngFWScnJyJEltbW0xaRjcya2BKSQPtw9HZHgaEsWJtSCBZOSE2o9OKmuQjOJ5buTWIdGcbwGAPUUcZDUMQ4MGha4u4Pnf4QoRJsYCQdwemELyCDcc0S4ZPYng1oseJA5BE8AenBDscVJZg2TEuVH8cL4FAPYScU1WIJ6ok4Vk0JlZd6rHzabumXUAYoOgCWAvdq79SM1w63BuBABwk4gzWSXp8OHDmj59etTbeDwevfTSSwN5SrgAQz6RLMisA8wZSMkYt88uDWBgnFDWIBlxbuQelH1DMqN/I1IDCrIeP35cmzdvjnobT4+7x4DEyReSB5l1QHSiLRlD0MR6XHTAKZxQ1iAZcW6U/Cj7hmRG/8ZARRxkvf766+PZDrgYJ19IFmTWAdGJtl4fQRPrcNEBp6KGZWJxbpT8qLmLZEb/xkBFHGStrKyMZzvgYpx8IZmQWQcMTCxKxhA0STwuOgBEinOj5EXZNyQz+jeiMaByAUC8cPKFZEFmHTAwlIxxHi46AAwE50bJi2M4khn9G9EgyApb4OQLyYbMOiAylIxxHi46AESDc6PkY/UxnLrg0eO965/V/RvORJAVtsLJFwC4CyVjnIeLDgCAZN0xnLrg0eO9ixznqIjGIKsbAAAA3K2ivEBFeb6gZZSMsa/Oi44UjydoeYrHo+L8TC46AMBFrDiGh6sLjvB47waGc1QMlMcwuoXkYXuBQEBer1d+v18ZGRlWNwcAgJihZIxz+DtO9KqlTiYMALhXf8fwWA1Pb2xp0/RHa0Our7l9GucQIfDeRY9z1OQUj/ga5QIAAIAtUDLGOailDiQfajTCjFDH8FgPT6cuePR476LHOSoiRZAVAADAJLcGJ7joAJyPGo2Ip3DD09fOLxzw/qgLHj3eOyD+qMkKAAAQpaMdxzVn9TZNf7RW8yq3q3TFZs1ZvU3+jhNWNw0AIkKNRsRLY0ubtjS0BE0aJEmnDENbGlq0u7V9wPukLnj0eO+A+CPICgAAECWCEwDCaWxpU83Og1EFkxIhHkEwuEMkfTuS4enRYDKi6PHeAfFFuQAAAIAodAYneuoenCArBHAnpwzBp0ZjfJkpJWPXMjQD6dvxGp5OXfDo8d4B8UWQFQAAIAoEJwCEEus6lPFCjcb4MBNkt3uAfiB9u3N4et2u1qBs6RSPR0V5PtPHSOqCRy+S986ugX7AzigXAABADNh9SChij+AEgL44aQi+3Ws0OvXYaqaUjJ3L0ETTtxme7jzUmweiRyYrAAAm2D3jBPET7wwdAM7ktCz3ivICLayqDzqOWR0Ei9Wx1YpMPDOlZOxehiaavs3wdOdxSiY+YEcEWQEAMIETUXezY3ACgLWcluVuxyCY2WOrlTdAzQTZ7R6gN9O3GdrvDHYP9AN2R5AVAIAocSIKOwYnAFjLqVnudgmCxeLYauUNUDOByFgE6OOZvevUvo3I2T3QD9gdNVkBwIacWoPMbSI5EYU75PjSVDpxDBceACRRh9IMs8dWq2vimqlza+axiaqjSd9Obk7LxAfshkxWALAR6ns6CyeiAIC+kOUePbPHVjtk4pkpJRPtYxOVvUvfTm5kKwPmEGQFABuhvqezcCIKAAjHLkPwncTssdUON0DNBCKjeWy8yheFKz1A305e1JsHokeQFQBsgvqezsSJKAAAsWXm2GqnG6BmApEDeWyss3cZWeVuZCsD0SPICgA2YYfhbRg4TkQBOFk8J8kBomX22Oq2G6Cxzt5lZBUkspWBaBBkBQCbsMPwNkSPE1EATkKmGpwg2mOr226AxjJ7l5FVABC9QVY3AADwMTMzygIAMBDhMtWAZNDY0uaKAGunivICFeX5gpZFk70bycgqAEDfyGQFABtx2/A2AEDikamGZObWLO1YZe8ysgoAokeQFQBsxG3D2wAAiUcNcCQzt9cTNVu+yE4ThwGA01AuAABsKMeXptKJYziRBQDEHJlqSLTGljbV7Dyo3a3xHWremaXdPTgoBWdpo3+xKj0AAG5DJisAAADgImSqIVESPXSfLO3YYGQVAESHTFYAAADAZchUQyIkeoI1J2ZpJyrLNxqMrAKAgSGTFQAAAHAZMtUQb1ZMsOakLG23TtAFAMmMTFYAAADApchUQ7xEMnQ/HpySpZ3oLF8AQPyRyQrAdRpb2tR8uIOsHQAAgDDMnDNZNXTfCVnaVmT5AgDijyArANdgWJa7EVwHACAysThnsnrofo7Pvsd7JugCgOREuQAArsGwLHc62nFcc1Zv0/RHazWvcrtKV2zWnNXb5O84YXXTAACwpVidMzll6H6i2W2CLjtPvgUATkImKwBXYFiWe4W7UFw7v9CiVsEOyG4GgN5iec7khKH7VsjNHKHPZI3Sm81HdLrb8kRP0MUoLwCILYKsAFyBYVnuRHAdfeGiEgBCi8c5k52H7ida5zHojeYjvdYlOsuXG9EAEFuUCwDgCnYbloXEsGpmY9gbpUMAIDTOmf5PPIbR93UMGuSRpmSP0tr5hQO+2RdtGztvRHevlysF34gGAAwMmawAXMHqyRdgDS4U0RPZzQAQHudM8RvxEOoYdNqQtjcdGdAxyGwbGeUFALFHJisA12DyBffpvFBM8XiClqd4PCrOz+TiwYXIbgaA/rn9nCleIx5ieQwy20ZuRANA7JHJCsA17DT5AhPuJE5FeYEWVtUHZXok6kKRz9l+uKgEgP7Z6Zwp0eI54iFWx6BYtJGMZQCIPYKsAFzHyskXmHAn8ay4UORzti8uKgEgcm6csCqew+hjdQyKVRutvBENAMmIcgEAkEBMuGOdHF+aSieOScjFIp+zvbl9GGw04jH5CwDYUbxHPMTiGBSrNnbeiK65fZoq501Rze3Topp8CwDwMTJZASBBmHDHHfic7c/Nw2AHiqxsRINSKXCyeI94iMUxKNZtdGPGMgDEA5msAJAgTLjjDnzOzpHI7GanIisbA3G047jmrN6m6Y/Wal7ldpWu2Kw5q7fJ33HC6qYBA5KIEQ9mj0GMygAA+yGTFQAShAl33IHPGcnCTFY2mYzuFC4ov3Z+oUWtAgbOCSMenNBGAHAbgqwAkCBMuOMOfM5IFtFMrEJ5AfeiVAqSkROG0cerjdwsA4CBc125gO3bt+vyyy/XyJEjlZaWpqlTp2r9+vUD2sexY8d0//33Kz8/X0OHDtX48eO1YMECHTx4MORjnnjiCRUWFiotLU2jRo3Sl7/8Zb355ptmXw4Ah2FolzvwOSMZRJOVTXkB96JUCpAcKPsBANFzVSZrTU2NysrKNHToUM2ePVvp6enasGGDZs2apT179mjx4sX97uP06dO68sorVV1dralTp+rqq69WQ0ODVq1apZdeeklbt25VZmZm0GN++MMf6p577lFWVpa+/e1v68MPP9RTTz2lz3/+83rppZdUVFQUr5cMwGYY2uUOfM5IBgPNyiaT0d0olQIkB8p+AED0PIbR7aw5iZ08eVLnnXee9u7dq61bt2ry5MmSJL/fr8LCQjU1Nendd99VVlZW2P1UVlbqm9/8psrLy/XEE0/I4/FIkv793/9dN910kxYsWKCVK1d2bd/Q0KBPfvKTys3N1bZt2+T1eiVJO3bs0NSpU5Wbm6v/+q//0qBBkSUVBwIBeb1e+f1+ZWRkRPFOAAAARMbfcUILq+ojGv5fs/Og5lVuD7mvynlTVDpxTNzaCuvNWb0tZFCe4Axgf40tbZr+aG3I9TW3T+NmGYCkEY/4mmvKBbz88st67733dO2113YFWCXJ6/Xqrrvu0vHjx7VmzZp+9/OLX/xCkvTggw92BVgl6cYbb1Rubq6eeOIJ/f3vf+9aXllZqZMnT+ruu+/uCrBK0uTJk1VeXq6//e1veuWVV2LwCgEAAGKrMyu75vZpqpw3RTW3T9Pa+YV91lclkxGUSgGcjbIfAGCOa4KsmzdvliTNnDmz17qysjJJUm1t6Lt2kvTRRx/p9ddf18SJE3tlvHo8Hs2YMUPt7e164403Yvq8AAAAVsrxpal04piwGUyd5QVSut2Elj7OZCzOzyT7yQUGEpQHYD/cLAMAc1wTZG1oaJAk5efn91o3duxYjRgxomubUN577z2dPn26z31033f3/TQ0NGjEiBEaO3ZsRNv3dOzYMQUCgaB/AAAAdkQmI6TIgvIA7IebZQBgjmsmvvL7/ZIUNGS/u4yMjK5tzOyj+3ad/x8zpu/6Y31t39ODDz6o++67L2y7AMCpGlva1Hy4g4mhgCTBpG8A4Cw9z8Uqygt61eLmZhkARMY1QVanWrJkiW677bauvwOBgCZMmGBhiwDAvKMdx7WoakdEk+kAsE60N0JyfARXAcDOwp2LcbMMAKLjmiBrZ/ZpqKzRQCCgUaNGmd5H9+06/z+Q7XtKTU1Vampq2HYBgNMsqtqhul2tQcvqdrVqYVU9M1ADNsCNEABu47bRNf2di3GzDHbitu8nnMs1Qdbu9U8vvvjioHUHDhxQW1ubCgvDX9jn5uZq0KBBIWuo9lX3NT8/X6+99poOHDjQqy5ruDqxAJCsGlvaggI3nU4ZhrY0tGh3azsnT4DFuBECwC3ceFOJczE4hRu/n3A210x8VVJSIknatGlTr3XV1dVB24QybNgwFRYWaufOnWpubg5aZxiGXnzxRaWlpekzn/lMTJ8XAJJJ8+GOsOubDrUnqCUfX2TU7Dyo3a2Je07A7jovvk8ZRtDy7hffAJAswt1USlZ2OhcDwnHj9xPO5pog66WXXqrc3Fw9+eST2rFjR9dyv9+v5cuX64wzztCcOXO6lu/fv1/vvPNOr6H+CxYskPRxrVSj28XHypUr1djYqK9//esaNmxY1/J58+Zp8ODB+uEPfxi0rx07dqiqqkrnn3++Lrnkkli/XACwrawzh4ddnz06/pkTRzuOa87qbZr+aK3mVW5X6YrNmrN6m/wdJ+L+3IDdcfENwC0GclMpmW7M2uFcDOgPN33hRK4Jsg4ePFirVq3S6dOnVVxcrAULFmjx4sW68MIL9e6772r58uXKzs7u2n7JkiU6//zz9dvf/jZoP9dff73KyspUVVWlz3/+8/r+97+va665RjfffLNycnL0gx/8IGj7c889V8uWLdO7776rCy+8UIsXL9aCBQtUXFwsSfrFL36hQYNc8zEAgHIzR6g4P1MpHk/Q8hSPR8X5mQkZnsZdcSA0Lr4BuEUkN5WS8casHc7FgP5w0xdO5KroXmlpqV555RUVFRVp3bp1+vnPf65/+Id/0FNPPaXFixdHtI9Bgwbp2Wef1bJly9TS0qLHHntMdXV1mj9/vl577TVlZmb2eszdd9+txx9/XJmZmfr5z3+u9evX6wtf+IJeffVVFRUVxfplAoDtVZQXqCjPF7SsKM+nivKCuD83d8WB8Lj4BuAWkdxUStYbs1aeiwGR4KYvnMhjGD2uMmFrgUBAXq9Xfr9fGRkZVjcHAEzZ3dqupkPtCZ0ptGbnQc2r3B5yfeW8KSqdOCYhbUHiMTttZPwdJ7Swqp6JJgDEjF1/f+es3qa6Xa1BN19TPB4V5fm07IpPavqjtSEfW3P7NFu9lmhYcS4GRCrc95OJOGFWPOJrg2OyFwAAopDjS/wJPXfF3YnZaQfGO3yI1s4v5OIbgGl2//2tKC/odVOpM6PzzT1Hwj626VC7438brTgXAyIV7vsJ2BGZrA5DJisAmMddcffhMwcAazjl97evm0qNLW1Jn8kKOAE3fREP8YivuaomKwAAEnXI3IY6vLCjZJqpHAjFSb+/Ob40lU4cExTAyc0coc/lju5z+8/ljibYAyRIX99PwI4oFwAAcB2GQrtLJLPT8vkjUew+dBqIpWT4/e0xB2C/ywEA7kUmKwDAtbgr7g7U4YWdJOtM5UBfnP7729jSplffO9TnulffO2SrTFwAgPUIsgIAgKSWmzlCxfmZSumRdpTi8ag4P5MgOxLGSUOngVhw+u9vJJm4AAB0IsgKAACSHnV4YQcEbOBGTv79dXomLgAgsajJCiAuGlva1Hy4g1qXAGyBOrzOkczHDwI27pLMfXkgnPz725mJW7erNSgDPcXjUVGezzGvAwCQGARZAcQUE3oAsLMcn3Mu7t3GDccPAjbu4Ia+HA2n/v5WlBdoYVV90OfplExcAEBieQyjR1Eo2FogEJDX65Xf71dGRobVzQF6mbN6W8iLx7XzCy1sGQDAztxy/PB3nOgVsCEAl1zc0pfdxomZuACA0OIRXyOTFUDMdE7o0VP3CT04KQWA2EimochuOn44eeg0+uemvuw2Ts3EBQAkDkFWADETyYQenJwCgDnJOBTZjccPAjbJyY19GQAAfGyQ1Q0AkDyY0AMA4m9R1Q7V7WoNWla3q1ULq+otapF5HD+QLOjLAAC4F0FWADHTOaFHiscTtDzF41FxfiaZGwBgUudQ5FM9Sup3H4rsRBw/kCzoywAAuBdBVgAxVVFeoKI8X9AyZmAFgNiIZCiyU3H8QLKgLwMA4E7UZAUQU0zoAQCx03Nyq2QeiszxA8mCvgwAgDsRZAUQF0zoAbhTMs14b6Vwk1sV52eqbldrUMmAFI9HRXm+pHjPOX4gWdCX0RPHSABIbgRZAQCAack4472Vwk1uVVFeoIVV9UHvNUORAcC+OEYCgDt4DKPHzAmwtUAgIK/XK7/fr4yMDKubAwCAJGnO6m0hsyvXzi+0sGXO09jSpumP1oZcX3P7NOX40hiKDAAOwTESAOwnHvE1Jr4CAACmJOuM91aJdHKrHF+aSieOIcAKADbGMRIA3IMgKwAAMCWZZ7y3QjJPbgUAbsMxEgDcgyArAAAwhaBgbOVmjlBxfqZSPJ6g5Skej4rzM8lcBQAH4RgJAO5BkBUAAJhCUDD2KsoLVJTnC1rG5FYA4DwcIwHAPZj4ymGY+AoAYEf+jhO9Zrx32szJjS1taj7cYauJpJjcCgCcLxmOkQCQbOIRXyPI6jAEWQEAdubEoODRjuNaVLWDi18AQFw58RgJAMmKICsIsgIAEGNzVm9T3a7WoJmfUzweFeX5tHZ+oYUtAwAAABAP8YivUZMVAAC4VmNLm7Y0tAQFWCXplGFoS0OLdrcy6zMAAACA/hFkBQAArtV8uCPs+qZDBFkBu2hsaVPNzoPc/AAAALY02OoGAAAAWCXrzOFh12ePpmYeYDXqJgOwEztOlAnAHgiyAgAA18rNHKHi/MyQNVm5eAKst6hqh+p2tQYtq9vVqoVV9dRNBpAw3PAB0B/KBQAAAFerKC9QUZ4vaFlRnk8V5QUWtQhAJ+omA7CLcDd8AEAikxUAALicd/gQrZ1fqN2t7Wo61M7wP8BGIqmbbLfvK0OJYRZ9yH46b/j01P2GD58VAIKsAAAAknJ8XMwCduOkuskMJYZZ9CH7cuINHwCJR7kAAAAAALbUWTc5xeMJWp7i8ag4P9NWQQ2GEsMs+pB9OemGDwDrEGQFAAAAYFtOqJtM7ViYRR+yNyfd8AFgHcoFAADQjdk6aNRRQzToN0BoTqibzFBimEUfsr+K8gItrKoPKudgtxs+AKxFkBUAAJmvg0YdNUSDfgM3iNVNBDvXTWYoMcyiD9mfE274ALAW5QIAAJD5OmjUUUM06DdIZkc7jmvO6m2a/mit5lVuV+mKzZqzepv8HSesblrMMZQYZtGHnCPHl6bSiWP4TAD0QpAVAOB6ZuugUUcN0aDfINm57SaCE2rHwt7oQwDgbJQLAAC4ntk6aNRRQzToN0hmnTcReup+EyHZ+jdDiWEWfQgAnI0gKwDA9czWQaOOGqJBv0keTFzWm5tvIti5diycgT4EAM5EkBUA4HqdddDqdrUGDd1O8XhUlOfr90LH7OPhTvQb52PistC4iQAAANyGmqwAAMh8HTTqqCEa9Btnc1vN0YFgEh8AAOA2HsPoMdsCbC0QCMjr9crv9ysjI8Pq5gBA0jFbB406aogG/cZ5GlvaNP3R2pDra26f5vrP0t9xQgur6sn0RUxQlgMAEEvxiK9RLgAAgG7M1kGjjhqiQb9JPLMBGzfXHI0Uk/gMDEHEvlGWAwDgFARZAQAA4BqxCthQczRyyX4TwWxwlCBieOHKcqydX2hRqwAA6I2arAAAAHCNWNVRpeYojnYc15zV2zT90VrNq9yu0hWbNWf1Nvk7TgxoP9T2Da2xpU1bGlqCJgeUpFOGoS0NLdrd2m5RywAA6I0gKwAASaKxpU01Ow9y0QmEEOuADROXuVssgqMEEcOLpCwHAAB2QbkAAAAcjqGmQGRiXUeVmqPu1Rkc7al7cDSSvkBt3/AoywEAcBIyWQHAIchSRCgMNTXPzPeL76ZzxCtgk+NLU+nEMa4OhrlNrDIsCSKGR1kOAICTkMkKADZHliLCiVU2lVuZ+X7x3XSezoBN3a7WoOHZKR6PivJ8fFcQsVgFR+mT/asoL9DCqvqg39qLskbqa1PO5hgHALAVMlkBwObIUkQ41Kszx8z3i++mM1FHFbEQywxL+mR4nWU5am6fpp+WF2hK1ihtbzqi7z5Z3+9kY4w0AAAkEpmsAGBjZCmiPww1jZ6Z7xffTeeijipipa8My2iCo/TJyOT40rT02b/qzfePBi3vvLm1dn5h1zJGGgAArECQFQBsrL8sxdcbD3Eh5nLxHmra2NKm5sMdSXnRb2bCGadNVpPMn2O0cny8FzAn1sFR+mR4A7m5FW6kQfdgLAAAsUSQFQBsrL8sxe8/8xf9518OkJnhcrHKpurODVlAZrKAnZJB7IbPEbAawdHEiPTmFiMNAABWcU1N1kAgoNtuu01ZWVlKTU1Vdna27rjjDrW1tQ14X9XV1SopKVF6eroyMjJUWlqql156qc9tp02bJo/H0+e/7Oxsk68KQLILVfOtO2pAonu9usp5U1Rz+zStnV9oKojmhnqjZmoqOmXGazd8jgDcIdKbW9QqBwBYxRWZrO3t7SopKdGOHTs0c+ZMlZeXq76+XitWrFBtba22bNmioUOHRrSvxx9/XNddd50yMzM1d+5cSdK6des0Y8YMrV+/Xtdcc02fj1u6dGmvZSNHjoz2JQFwkb6yFLsjMwOdYpVN5aYsIDNZwPHIII4lN32OAJJfpOVxnDLSAACQfFwRZH3kkUe0Y8cO3XnnnXrooYe6ln//+9/Xww8/rMcee0xLlizpdz9HjhzRwoUL5fP59Oabb+rss8+WJN15550qKCjQTTfdpLKyMqWnp/d67LJly2L2egC4S2eWYtW297Xkmb+E3M5uNSDhXE6rN2qGmZqKiZysJpqaqm76HAG4QyQ3t+Jdq9xJqMcNAImV9EFWwzC0atUqjRgxQvfee2/QunvvvVc/+9nPtGrVqoiCrE8//bSOHj2q++67ryvAKklnn322vvvd72rZsmX67W9/qzlz5sT8dQDAZ3PODLuezAzEihuzgMxkAcezHqOZmqpu/BwBJLdIb27ZfaRBvFGPGwCskfQ1WRsaGrRv3z4VFRUpLS34AJyWlqaioiI1NjZqz549/e5r8+bNkqSZM2f2WldWViZJqq2t7fOxTz75pJYvX64f//jH2rx5s06fPj3AVwLA7ZxSAxLOR1+zDzM1VfkcASSrHF+aSieOCfk7Fo9a5U5CPW7zGlvaVLPzoHa3UsMXQOSSPpO1oaFBkpSfn9/n+vz8fFVXV6uhoUETJkyIel+dyzq36enrX/960N/nnnuunnjiCX3mM58J+5zHjh3TsWPHuv4OBAJhtweQ3NyemYHEoa9ZLxY1VfkcAbhZPEca2BX1uM0hCxiAGUkfZPX7/ZIkr9fb5/qMjIyg7aLdV6j9XHnllbrjjjtUUFCgUaNGqampSStXrtRPf/pTzZgxQ2+99ZY+8YlPhHzOBx98UPfdd1+/bQPgDomsAQl3o69ZLxY1VfkcAcBdqMdtTrgs4LXzCy1qFQCncEyQdfHixUEZnf255ZZbQmavJtK//Mu/BP19/vnn68c//rEyMjL0wAMPaMWKFfrJT34S8vFLlizRbbfd1vV3IBDoN+MWQPJzY2YGrEFfs04sa6ryOQJAcuo5uRX1uKNHFjAAsxwTZF25cqXa2yOvh3LNNdcoPz+/K+s0VKZq5/D7UJmu3XXf1+jRo6PejyTdeOONeuCBB1RXVxd2u9TUVKWmpka0TwAAkDyYIRsAEEq4Ye0cO6JDFjAAsxwz8VVbW5sMw4j437Rp0yT1Xyu1v5qt3YXb10D2I0mjR4+Wx+MZUOAYAKJB4X7AuSrKC1SU5wtaRk1VAEC4Ye0cO6JDFjAAsxyTyRqt/Px8jR8/XnV1dWpvb1da2v/9MLa3t6uurk45OTkRDcEvKSlRVVWVNm3apKlTpwatq66u7tomEtu2bZNhGMrOzo78xQDAAFC4H3A+aqoCAHrqb1j74Y7jHDuiwAgSAGY5JpM1Wh6PRzfccIPa2tr0wAMPBK174IEH1NbWpm9961tByzs6OvTOO+/o/fffD1r+ta99TV6vVxUVFdq7d2/X8r179+qnP/2pfD6fvvKVr3Qt3717tw4fPtyrTR988IFuvvlmSdK1115r+jUCQF/CZTgAcJYcX5pKJ47hAi/OyPwH4ASRDGuXOHZEgyxgAGYkfSarJH3ve9/Ts88+q4cfflj19fW66KKL9Oabb2rTpk2aMmWKbr311qDtt23bptLSUpWUlGjz5s1dy0eNGqWf/vSnuu6663TRRRdp1qxZkqR169bp0KFDWrdundLT07u2r62t1U033aQvfOELysnJ0ahRo7R79249//zzam9v19e//nVdd911iXgLALgMhfsRSz0n1QCSDZn/AJyEYe3xwwgSAGa4Isialpam2tpaLVu2TBs2bFBNTY3GjRunxYsXa+nSpRo2bFjE+/rGN74hn8+n5cuXq7KyUh6PRxdffLHuueceXXbZZUHbXnTRRfrqV7+qP//5z9q+fbva2to0cuRIFRUV6Zvf/GZXkBYAYo3C/YgFAk9wi3CZ/2vnF1rUKgCJ4MQbibEe1u7E9yDecny8FwAGzmMY3X6VYXuBQEBer1d+v18ZGRlWNweATTW2tGn6o7Uh19fcPo0TR/RrzuptIS/gCDwhWfB7aW8EfxAvTr+R+Naeo7r7t3/Rf+0LdC0baPud/h4AgBnxiK+5IpMVANyGwv0wK9ElJwikwCpk/tsTwR/Em1Mz2Pv6bnz6rAwt/8okXXD2yAHty6nvAQDYVdJPfAUAbkXhfpgR6aQaZh3tOK45q7dp+qO1mle5XaUrNmvO6m3yd5yIyf6B/lDbMDEGOqkYkzcinjpvJJ7qMaiz+41Eu+rru/G3fR9qRfW7A9qPk98DALArMlkBIElRuB9mJCrwRBYNrEbmf3xFk5HK5I2IN6dmsMfyu9Hfe/DfH/ht+R4AgJ2RyQoASS7Hl6bSiWM4UcaAdAaeUjyeoOUpHo+K8zNj0p/IooFdkPkfP9FkpPYX/FlY9SbZ7jDFqRnssRxl0t978KtXmyLeV3cDzVoHgGRCJisAAOhTRXmBFlbVB2XNxDLw5NRMIiQfMv8/FuvayNFm3fUX/PnvfQGy3WGKUzPYYxkczs0coSnZo7S96Uif67c3HxlQZix1lAGAICsAAAgh3oEnp2YSIXnl+NwZXI1XcCTaGymdAbBXGlp0uo/HnTZE2QCYFu8bifEQ6+Dw9Z/PDhlklQZ2s5PyPwBAuQAAANCPeJWcSERJAgD9i9ckU2ZupFSUF+iT4zPCPj5WE/DBnTpvJNbcPk2V86ao5vZpWju/0PZZl7Esb/LJceG/Y5He7LRD+R/KFACwAzJZAQCAZZyYSQQkk3hOMmUm6847fIh+Ul6g6Y/WhtyGbHfEgtMy2GM5yiRWmbFWlv+hTAEAOyGTFQAAWMapmURAsojlRDp9MZN1R7Y7EFqsRpnEIjPWyvI/8crEB4BokMkKAAAs57RMIiBZxDs4Yjbrjmx3IPZ6TnJnNjPWqonE4pmJDwDRIMgKAAAAuFSigiPR3kiJ9wR8gJuEG1pv9manFTdErCxTAAB9IcgKAAAAuJgTskXJdgfMCze0fu38QlP7tuKGiJVlCgCgLwRZAQAAABcjWxRIfokaWp/IGyJWlSkAgFCY+AoAAABAzCbSAWA/8Z7kziqxmLgLAGKFTFYAAAAAQFLqOcmTWyXr0Hoy8QHYCUFWAAAAAEBSCTfJk3f4EAtbZo1kH1pP3WYAdkC5AAAAAABAUgk3yZNbMbQeAOKLTFYAAAAAQNJI1CRPTsPQegCIL4KsAAAAcUItQABIvEgmeXLzbzJD6wEgPgiyAgAAxJgbagESQAZgV8k6yRMAwN4IsgIAAMRYuFqAa+cXSnJukNINAWSgk1O/p26X7JM8AQDsiSArAABADPVXC/CtPUf16KZ3HRukjCSADDgdNxOcr6K8QAur6oM+QyZ5AgDEk8cwut3ag+0FAgF5vV75/X5lZGRY3RwAANBDzc6Dmle5PeT6T5+Vob/t+7DP7Cq7BykbW9o0/dHakOtrbp9GhliUyJi0lzmrt4XMgrT79xTBmOQJANCXeMTXyGQFAACIof5qAf7XB4Fey5wy4zWTycQeGZP2w8z0yYVJngAAiTLI6gYAAAAkk85agCkeT9DyFI9Hnx4f/i5506H2eDbNNCaTib1w5RdgjUhuJgAAAPREkBUAACDGKsoLVJTnC1pWlOfTD78yKezj7B6kDBdALs7PJFtsgDozJk/1qN7VPWMSicfNBAAAEA3KBQAAAEeycw1L7/AhWju/sM9agE6f8ZrJZGKH8gv2xMz0AAAgGgRZAQCAoziphmVftQCdHqQMF0DGwJAxaV9O/55ayc43wAAAiCePYfQYnwRbi8fsZwAAOEmyzPpNkBJS8vTnZMX3NHJOugEGAEA84mvUZAUAAI6RTDUsc3xpKp04hsCNy4Wq30vGpD3wPY0ck7gBANyOcgEAAMAxqGGJZEP5BSSDzhtgPXW/AUa/BgAkO4KsAADAMahhiWg4oUZkX/V7AafgBhgAAARZAQCAgzDrNwaCGpFAYnADzJ2ccAMLABKJmqwAAMBRqGGJSFEjEkiMzhtgKR5P0PIUj0fF+ZkE4JLM0Y7jmrN6m6Y/Wqt5ldtVumKz5qzeJn/HCaubBgCW8hhGj5kjYGvxmP0MAAAnooYlwmlsadP0R2tDrq+5fRr9Boghf8cJLayqJ3PcBeas3hZyRMna+YUWtgwAIheP+BrlAgAAgCP1rGHJsEV0R41IILGYxM0dmOQMAEIjyAoAAByNupvoCzUiAWskYhI3bqpZhxtYABAaQVYAAOBo4epuMmzRvZgkDUg+3FSzHjewACA0Jr4CAACO1Tls8VSPEvPdhy3CvZgkDUguTGZnPSY5A4DQyGQFMCAMzwJgJwxbRDjUiASSB7VA7aOivKDXJGfcwAIAgqwAIsTwLAB2xLBFRCIRNSIBxBc31eyDG1gA0DfKBQCICMOzANgRwxYBwB24qWY/Ob40lU4cw7EWAP4XQVYA/aLmIQA7o+4mACQ/bqoBAOyOcgEA+sXwLAB2xrBFIHLUVoeTUQsUAGBnBFkB9IvhWQCcgLqbQGjUVkcy4KYaAMDOKBcAoF8MzwIAwNmorY5kQi1QAIAdEWQFEBFqHgIA4EzUVgcAAIg/ygUAiAjDswAAcCZqqwMAAMQfQVYAA0LNQwAAnIXa6kBiMcEcALgTQVYAAAAgiXXWVq/b1RpUMiDF41FRno8gEBAjTDAHAO5GTVYAAAAgyVFbHYg/JpgDAHcjkxUAAABIctRWB+Krc4K5nrpPMMd3DgCSG0FWAAAAwCWorQ7EBxPMAQAIsgIAAAAABoTJnYIxwRwAgCArAAAAACAiTO7UNyaYAwC4ZuKrQCCg2267TVlZWUpNTVV2drbuuOMOtbW1DWg/FRUVmjdvni644AINHjxYHo9HmzdvDvuY/fv3a/78+Ro3bpyGDh2qiRMn6oc//KFOnDhh4hUBAAAAQGIxuVNoTDAHAO7mMYxut9mSVHt7uy655BLt2LFDM2fOVEFBgerr67Vp0yZNmTJFW7Zs0dChQyPal8fjkSSNGzdOhmHowIEDqqmp0bRp0/rc/sCBAyosLNTevXv1la98Rfn5+aqtrdXWrVt1xRVX6He/+13XPiMRCATk9Xrl9/uVkZER8eMAAAAAwIzGljZNf7Q25Pqa26eRsSkxwRwAOEA84muuyGR95JFHtGPHDt15552qrq7WQw89pOrqat15553avn27HnvssYj39dxzz2n//v3at2+frrzyyn63v/POO7Vnzx79f//f/6cNGzbooYce0quvvqrZs2fr97//vZ566ikzLw0AAAAAEiKSyZ3w8QRzpRPHEGAFAJdJ+iCrYRhatWqVRowYoXvvvTdo3b333qsRI0Zo1apVEe/vH//xHzV27NiItv3www+1bt065ebm6sYbb+xa7vF49NBDD0mSfvGLX0T83AAAAABgFSZ3AgAgtKQPsjY0NGjfvn0qKipSWlrwQT8tLU1FRUVqbGzUnj17Yv7cr732mo4dO6YZM2b0KgmQlZWliRMnqq6uTqdOnYr5cwMAAABALHVO7pTS49omxeNRcX4mmZsAAFdzRZBVkvLz8/tc37m8c7tEP/fx48fV3Nwc8+cGAACwSmNLm2p2HtTuVmuHDtulHUAyYXInAAD6NtjqBsSb3++XJHm93j7Xdxa37dzObs997NgxHTt2rOvvQCAQwxYCAADEztGO41pUtUNbGlq6lhXnZ6qivEDe4UPU2NKm5sMdcZ8Mpr92AIied/gQrZ1fyOROAAD04Jgg6+LFi4OCjf255ZZbQmaQOsmDDz6o++67z+pmAAAA9GtR1Q7V7WoNWla3q1U3PfFnDR40KGFBz1DtWFhVr7XzC2P+fIAb5fgIrgIA0J1jgqwrV65Ue3vkQ72uueYa5efnd2WRhsoW7cwMDZVtakYsnnvJkiW67bbbgh4zYcKEGLYSAADAvMaWtqAgaqdThqFX3zvUq0ZVvIKe4dqxpaFFu1vbCQwBAAAg5hwTZG1ra4vqcf3VXO2vbqoZkTz3GWecoU984hMh95GamqrU1NSYtw0AACCWmg93hF1/usff8Qp69teOpkMEWQEAABB7ST/xVX5+vsaPH6+6urpembDt7e2qq6tTTk5OXLJDp06dqjPOOEMvvviiDMMIWtfc3KydO3eqqKhIgwc7JtYNAADQp6wzh0f1uKZDsZ2Uqr92ZI8mwAoAAIDYS/ogq8fj0Q033KC2tjY98MADQeseeOABtbW16Vvf+lbQ8o6ODr3zzjt6//33TT13RkaGZs+ercbGRq1cubJruWEYWrJkiST1em4AAAAnys0coeL8TKV4PEHLB3lCPOB/xTroGaodKR6PivMzyWIFAABAXHiMnimWSai9vV1FRUV66623NHPmTF100UV68803tWnTJk2ZMkW1tbUaNmxY1/abN29WaWmpSkpKtHnz5qB9PfTQQ3rnnXckSa+99preffddlZWVaezYsZKkq666SldddVXX9vv379dnP/tZ7d27V//8z/+svLw81dbWauv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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots()\n", "pca_model.loadings.plot.scatter(x=\"comp_00\", y=\"comp_01\", ax=ax)\n", "ax.set_xlabel(\"PC 1\", size=17)\n", "ax.set_ylabel(\"PC 2\", size=17)\n", "dta.index[pca_model.loadings.iloc[:, 1] > 0.2].values" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.10.13" } }, "nbformat": 4, "nbformat_minor": 4 }