{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "## Markov switching dynamic regression models" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "This notebook provides an example of the use of Markov switching models in statsmodels to estimate dynamic regression models with changes in regime. It follows the examples in the Stata Markov switching documentation, which can be found at http://www.stata.com/manuals14/tsmswitch.pdf." ] }, { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-07-30T06:34:41.382541Z", "iopub.status.busy": "2026-07-30T06:34:41.382331Z", "iopub.status.idle": "2026-07-30T06:34:47.192813Z", "shell.execute_reply": "2026-07-30T06:34:47.191560Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "%matplotlib inline\n", "\n", "from datetime import datetime\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "import pandas as pd\n", "\n", "# NBER recessions\n", "from pandas_datareader.data import DataReader\n", "\n", "import statsmodels.api as sm\n", "\n", "usrec = DataReader(\n", " \"USREC\", \"fred\", start=datetime(1947, 1, 1), end=datetime(2013, 4, 1)\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Federal funds rate with switching intercept\n", "\n", "The first example models the federal funds rate as noise around a constant intercept, but where the intercept changes during different regimes. The model is simply:\n", "\n", "$$r_t = \\mu_{S_t} + \\varepsilon_t \\qquad \\varepsilon_t \\sim N(0, \\sigma^2)$$\n", "\n", "where $S_t \\in \\{0, 1\\}$, and the regime transitions according to\n", "\n", "$$ P(S_t = s_t | S_{t-1} = s_{t-1}) =\n", "\\begin{bmatrix}\n", "p_{00} & p_{10} \\\\\n", "1 - p_{00} & 1 - p_{10}\n", "\\end{bmatrix}\n", "$$\n", "\n", "We will estimate the parameters of this model by maximum likelihood: $p_{00}, p_{10}, \\mu_0, \\mu_1, \\sigma^2$.\n", "\n", "The data used in this example can be found at https://www.stata-press.com/data/r14/usmacro." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-07-30T06:34:47.199077Z", "iopub.status.busy": "2026-07-30T06:34:47.198855Z", "iopub.status.idle": "2026-07-30T06:34:48.594318Z", "shell.execute_reply": "2026-07-30T06:34:48.593545Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Get the federal funds rate data\n", "from statsmodels.tsa.regime_switching.tests.test_markov_regression import fedfunds\n", "\n", "dta_fedfunds = pd.Series(\n", " fedfunds, index=pd.date_range(\"1954-07-01\", \"2010-10-01\", freq=\"QS\")\n", ")\n", "\n", "# Plot the data\n", "dta_fedfunds.plot(title=\"Federal funds rate\", figsize=(12, 3))\n", "\n", "# Fit the model\n", "# (a switching mean is the default of the MarkovRegession model)\n", "mod_fedfunds = sm.tsa.MarkovRegression(dta_fedfunds, k_regimes=2)\n", "res_fedfunds = mod_fedfunds.fit()" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-07-30T06:34:48.596707Z", "iopub.status.busy": "2026-07-30T06:34:48.596437Z", "iopub.status.idle": "2026-07-30T06:34:48.643820Z", "shell.execute_reply": "2026-07-30T06:34:48.642558Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Markov Switching Model Results
Dep. Variable: y No. Observations: 226
Model: MarkovRegression Log Likelihood -508.636
Date: Thu, 30 Jul 2026 AIC 1027.272
Time: 06:34:48 BIC 1044.375
Sample: 07-01-1954 HQIC 1034.174
- 10-01-2010
Covariance Type: approx
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 0 parameters
coef std err z P>|z| [0.025 0.975]
const 3.7088 0.177 20.988 0.000 3.362 4.055
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 1 parameters
coef std err z P>|z| [0.025 0.975]
const 9.5568 0.300 31.857 0.000 8.969 10.145
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Non-switching parameters
coef std err z P>|z| [0.025 0.975]
sigma2 4.4418 0.425 10.447 0.000 3.608 5.275
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime transition parameters
coef std err z P>|z| [0.025 0.975]
p[0->0] 0.9821 0.010 94.443 0.000 0.962 1.002
p[1->0] 0.0504 0.027 1.876 0.061 -0.002 0.103


Warnings:
[1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/latex": [ "\\begin{center}\n", "\\begin{tabular}{lclc}\n", "\\toprule\n", "\\textbf{Dep. Variable:} & y & \\textbf{ No. Observations: } & 226 \\\\\n", "\\textbf{Model:} & MarkovRegression & \\textbf{ Log Likelihood } & -508.636 \\\\\n", "\\textbf{Date:} & Thu, 30 Jul 2026 & \\textbf{ AIC } & 1027.272 \\\\\n", "\\textbf{Time:} & 06:34:48 & \\textbf{ BIC } & 1044.375 \\\\\n", "\\textbf{Sample:} & 07-01-1954 & \\textbf{ HQIC } & 1034.174 \\\\\n", "\\textbf{} & - 10-01-2010 & \\textbf{ } & \\\\\n", "\\textbf{Covariance Type:} & approx & \\textbf{ } & \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "\\begin{tabular}{lcccccc}\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & 3.7088 & 0.177 & 20.988 & 0.000 & 3.362 & 4.055 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & 9.5568 & 0.300 & 31.857 & 0.000 & 8.969 & 10.145 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{sigma2} & 4.4418 & 0.425 & 10.447 & 0.000 & 3.608 & 5.275 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{p[0-$>$0]} & 0.9821 & 0.010 & 94.443 & 0.000 & 0.962 & 1.002 \\\\\n", "\\textbf{p[1-$>$0]} & 0.0504 & 0.027 & 1.876 & 0.061 & -0.002 & 0.103 \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "%\\caption{Markov Switching Model Results}\n", "\\end{center}\n", "\n", "Warnings: \\newline\n", " [1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/plain": [ "\n", "\"\"\"\n", " Markov Switching Model Results \n", "==============================================================================\n", "Dep. Variable: y No. Observations: 226\n", "Model: MarkovRegression Log Likelihood -508.636\n", "Date: Thu, 30 Jul 2026 AIC 1027.272\n", "Time: 06:34:48 BIC 1044.375\n", "Sample: 07-01-1954 HQIC 1034.174\n", " - 10-01-2010 \n", "Covariance Type: approx \n", " Regime 0 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 3.7088 0.177 20.988 0.000 3.362 4.055\n", " Regime 1 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 9.5568 0.300 31.857 0.000 8.969 10.145\n", " Non-switching parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "sigma2 4.4418 0.425 10.447 0.000 3.608 5.275\n", " Regime transition parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "p[0->0] 0.9821 0.010 94.443 0.000 0.962 1.002\n", "p[1->0] 0.0504 0.027 1.876 0.061 -0.002 0.103\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using numerical (complex-step) differentiation.\n", "\"\"\"" ] }, "execution_count": 3, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res_fedfunds.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the summary output, the mean federal funds rate in the first regime (the \"low regime\") is estimated to be $3.7$ whereas in the \"high regime\" it is $9.6$. Below we plot the smoothed probabilities of being in the high regime. The model suggests that the 1980's was a time-period in which a high federal funds rate existed." ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-07-30T06:34:48.646671Z", "iopub.status.busy": "2026-07-30T06:34:48.645715Z", "iopub.status.idle": "2026-07-30T06:34:49.041406Z", "shell.execute_reply": "2026-07-30T06:34:49.040733Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 4, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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"text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "res_fedfunds.smoothed_marginal_probabilities[1].plot(\n", " title=\"Probability of being in the high regime\", figsize=(12, 3)\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "From the estimated transition matrix we can calculate the expected duration of a low regime versus a high regime." ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-07-30T06:34:49.044413Z", "iopub.status.busy": "2026-07-30T06:34:49.044190Z", "iopub.status.idle": "2026-07-30T06:34:49.052415Z", "shell.execute_reply": "2026-07-30T06:34:49.050480Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[55.85400626 19.85506546]\n" ] } ], "source": [ "print(res_fedfunds.expected_durations)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "A low regime is expected to persist for about fourteen years, whereas the high regime is expected to persist for only about five years." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Federal funds rate with switching intercept and lagged dependent variable\n", "\n", "The second example augments the previous model to include the lagged value of the federal funds rate.\n", "\n", "$$r_t = \\mu_{S_t} + r_{t-1} \\beta_{S_t} + \\varepsilon_t \\qquad \\varepsilon_t \\sim N(0, \\sigma^2)$$\n", "\n", "where $S_t \\in \\{0, 1\\}$, and the regime transitions according to\n", "\n", "$$ P(S_t = s_t | S_{t-1} = s_{t-1}) =\n", "\\begin{bmatrix}\n", "p_{00} & p_{10} \\\\\n", "1 - p_{00} & 1 - p_{10}\n", "\\end{bmatrix}\n", "$$\n", "\n", "We will estimate the parameters of this model by maximum likelihood: $p_{00}, p_{10}, \\mu_0, \\mu_1, \\beta_0, \\beta_1, \\sigma^2$." ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "execution": { "iopub.execute_input": "2026-07-30T06:34:49.054489Z", "iopub.status.busy": "2026-07-30T06:34:49.054290Z", "iopub.status.idle": "2026-07-30T06:34:49.669196Z", "shell.execute_reply": "2026-07-30T06:34:49.668357Z" } }, "outputs": [], "source": [ "# Fit the model\n", "mod_fedfunds2 = sm.tsa.MarkovRegression(\n", " dta_fedfunds.iloc[1:], k_regimes=2, exog=dta_fedfunds.iloc[:-1]\n", ")\n", "res_fedfunds2 = mod_fedfunds2.fit()" ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-07-30T06:34:49.675074Z", "iopub.status.busy": "2026-07-30T06:34:49.672049Z", "iopub.status.idle": "2026-07-30T06:34:49.745259Z", "shell.execute_reply": "2026-07-30T06:34:49.744046Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Markov Switching Model Results
Dep. Variable: y No. Observations: 225
Model: MarkovRegression Log Likelihood -264.711
Date: Thu, 30 Jul 2026 AIC 543.421
Time: 06:34:49 BIC 567.334
Sample: 10-01-1954 HQIC 553.073
- 10-01-2010
Covariance Type: approx
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 0 parameters
coef std err z P>|z| [0.025 0.975]
const 0.7245 0.289 2.510 0.012 0.159 1.290
x1 0.7631 0.034 22.629 0.000 0.697 0.829
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 1 parameters
coef std err z P>|z| [0.025 0.975]
const -0.0989 0.118 -0.835 0.404 -0.331 0.133
x1 1.0612 0.019 57.351 0.000 1.025 1.097
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Non-switching parameters
coef std err z P>|z| [0.025 0.975]
sigma2 0.4783 0.050 9.642 0.000 0.381 0.576
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime transition parameters
coef std err z P>|z| [0.025 0.975]
p[0->0] 0.6378 0.120 5.304 0.000 0.402 0.874
p[1->0] 0.1306 0.050 2.634 0.008 0.033 0.228


Warnings:
[1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/latex": [ "\\begin{center}\n", "\\begin{tabular}{lclc}\n", "\\toprule\n", "\\textbf{Dep. Variable:} & y & \\textbf{ No. Observations: } & 225 \\\\\n", "\\textbf{Model:} & MarkovRegression & \\textbf{ Log Likelihood } & -264.711 \\\\\n", "\\textbf{Date:} & Thu, 30 Jul 2026 & \\textbf{ AIC } & 543.421 \\\\\n", "\\textbf{Time:} & 06:34:49 & \\textbf{ BIC } & 567.334 \\\\\n", "\\textbf{Sample:} & 10-01-1954 & \\textbf{ HQIC } & 553.073 \\\\\n", "\\textbf{} & - 10-01-2010 & \\textbf{ } & \\\\\n", "\\textbf{Covariance Type:} & approx & \\textbf{ } & \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "\\begin{tabular}{lcccccc}\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & 0.7245 & 0.289 & 2.510 & 0.012 & 0.159 & 1.290 \\\\\n", "\\textbf{x1} & 0.7631 & 0.034 & 22.629 & 0.000 & 0.697 & 0.829 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & -0.0989 & 0.118 & -0.835 & 0.404 & -0.331 & 0.133 \\\\\n", "\\textbf{x1} & 1.0612 & 0.019 & 57.351 & 0.000 & 1.025 & 1.097 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{sigma2} & 0.4783 & 0.050 & 9.642 & 0.000 & 0.381 & 0.576 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{p[0-$>$0]} & 0.6378 & 0.120 & 5.304 & 0.000 & 0.402 & 0.874 \\\\\n", "\\textbf{p[1-$>$0]} & 0.1306 & 0.050 & 2.634 & 0.008 & 0.033 & 0.228 \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "%\\caption{Markov Switching Model Results}\n", "\\end{center}\n", "\n", "Warnings: \\newline\n", " [1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/plain": [ "\n", "\"\"\"\n", " Markov Switching Model Results \n", "==============================================================================\n", "Dep. Variable: y No. Observations: 225\n", "Model: MarkovRegression Log Likelihood -264.711\n", "Date: Thu, 30 Jul 2026 AIC 543.421\n", "Time: 06:34:49 BIC 567.334\n", "Sample: 10-01-1954 HQIC 553.073\n", " - 10-01-2010 \n", "Covariance Type: approx \n", " Regime 0 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 0.7245 0.289 2.510 0.012 0.159 1.290\n", "x1 0.7631 0.034 22.629 0.000 0.697 0.829\n", " Regime 1 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const -0.0989 0.118 -0.835 0.404 -0.331 0.133\n", "x1 1.0612 0.019 57.351 0.000 1.025 1.097\n", " Non-switching parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "sigma2 0.4783 0.050 9.642 0.000 0.381 0.576\n", " Regime transition parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "p[0->0] 0.6378 0.120 5.304 0.000 0.402 0.874\n", "p[1->0] 0.1306 0.050 2.634 0.008 0.033 0.228\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using numerical (complex-step) differentiation.\n", "\"\"\"" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res_fedfunds2.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "There are several things to notice from the summary output:\n", "\n", "1. The information criteria have decreased substantially, indicating that this model has a better fit than the previous model.\n", "2. The interpretation of the regimes, in terms of the intercept, have switched. Now the first regime has the higher intercept and the second regime has a lower intercept.\n", "\n", "Examining the smoothed probabilities of the high regime state, we now see quite a bit more variability." ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-07-30T06:34:49.748903Z", "iopub.status.busy": "2026-07-30T06:34:49.746898Z", "iopub.status.idle": "2026-07-30T06:34:50.172855Z", "shell.execute_reply": "2026-07-30T06:34:50.171544Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 8, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "res_fedfunds2.smoothed_marginal_probabilities[0].plot(\n", " title=\"Probability of being in the high regime\", figsize=(12, 3)\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Finally, the expected durations of each regime have decreased quite a bit." ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-07-30T06:34:50.175208Z", "iopub.status.busy": "2026-07-30T06:34:50.174994Z", "iopub.status.idle": "2026-07-30T06:34:50.183738Z", "shell.execute_reply": "2026-07-30T06:34:50.182344Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[2.76105188 7.65529154]\n" ] } ], "source": [ "print(res_fedfunds2.expected_durations)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Taylor rule with 2 or 3 regimes\n", "\n", "We now include two additional exogenous variables - a measure of the output gap and a measure of inflation - to estimate a switching Taylor-type rule with both 2 and 3 regimes to see which fits the data better.\n", "\n", "Because the models can be often difficult to estimate, for the 3-regime model we employ a search over starting parameters to improve results, specifying 20 random search repetitions." ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-07-30T06:34:50.187956Z", "iopub.status.busy": "2026-07-30T06:34:50.186006Z", "iopub.status.idle": "2026-07-30T06:34:58.574857Z", "shell.execute_reply": "2026-07-30T06:34:58.569231Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [], "source": [ "# Get the additional data\n", "from statsmodels.tsa.regime_switching.tests.test_markov_regression import inf, ogap\n", "\n", "dta_ogap = pd.Series(ogap, index=pd.date_range(\"1954-07-01\", \"2010-10-01\", freq=\"QS\"))\n", "dta_inf = pd.Series(inf, index=pd.date_range(\"1954-07-01\", \"2010-10-01\", freq=\"QS\"))\n", "\n", "exog = pd.concat((dta_fedfunds.shift(), dta_ogap, dta_inf), axis=1).iloc[4:]\n", "\n", "# Fit the 2-regime model\n", "mod_fedfunds3 = sm.tsa.MarkovRegression(dta_fedfunds.iloc[4:], k_regimes=2, exog=exog)\n", "res_fedfunds3 = mod_fedfunds3.fit()\n", "\n", "# Fit the 3-regime model\n", "np.random.seed(12345)\n", "mod_fedfunds4 = sm.tsa.MarkovRegression(dta_fedfunds.iloc[4:], k_regimes=3, exog=exog)\n", "res_fedfunds4 = mod_fedfunds4.fit(search_reps=20)" ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-07-30T06:34:58.578567Z", "iopub.status.busy": "2026-07-30T06:34:58.578270Z", "iopub.status.idle": "2026-07-30T06:34:58.645041Z", "shell.execute_reply": "2026-07-30T06:34:58.641660Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Markov Switching Model Results
Dep. Variable: y No. Observations: 222
Model: MarkovRegression Log Likelihood -229.256
Date: Thu, 30 Jul 2026 AIC 480.512
Time: 06:34:58 BIC 517.942
Sample: 07-01-1955 HQIC 495.624
- 10-01-2010
Covariance Type: approx
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 0 parameters
coef std err z P>|z| [0.025 0.975]
const 0.6555 0.137 4.771 0.000 0.386 0.925
x1 0.8314 0.033 24.951 0.000 0.766 0.897
x2 0.1355 0.029 4.609 0.000 0.078 0.193
x3 -0.0274 0.041 -0.671 0.502 -0.107 0.053
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 1 parameters
coef std err z P>|z| [0.025 0.975]
const -0.0945 0.128 -0.739 0.460 -0.345 0.156
x1 0.9293 0.027 34.309 0.000 0.876 0.982
x2 0.0343 0.024 1.429 0.153 -0.013 0.081
x3 0.2125 0.030 7.147 0.000 0.154 0.271
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Non-switching parameters
coef std err z P>|z| [0.025 0.975]
sigma2 0.3323 0.035 9.526 0.000 0.264 0.401
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime transition parameters
coef std err z P>|z| [0.025 0.975]
p[0->0] 0.7279 0.093 7.828 0.000 0.546 0.910
p[1->0] 0.2115 0.064 3.298 0.001 0.086 0.337


Warnings:
[1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/latex": [ "\\begin{center}\n", "\\begin{tabular}{lclc}\n", "\\toprule\n", "\\textbf{Dep. Variable:} & y & \\textbf{ No. Observations: } & 222 \\\\\n", "\\textbf{Model:} & MarkovRegression & \\textbf{ Log Likelihood } & -229.256 \\\\\n", "\\textbf{Date:} & Thu, 30 Jul 2026 & \\textbf{ AIC } & 480.512 \\\\\n", "\\textbf{Time:} & 06:34:58 & \\textbf{ BIC } & 517.942 \\\\\n", "\\textbf{Sample:} & 07-01-1955 & \\textbf{ HQIC } & 495.624 \\\\\n", "\\textbf{} & - 10-01-2010 & \\textbf{ } & \\\\\n", "\\textbf{Covariance Type:} & approx & \\textbf{ } & \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "\\begin{tabular}{lcccccc}\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & 0.6555 & 0.137 & 4.771 & 0.000 & 0.386 & 0.925 \\\\\n", "\\textbf{x1} & 0.8314 & 0.033 & 24.951 & 0.000 & 0.766 & 0.897 \\\\\n", "\\textbf{x2} & 0.1355 & 0.029 & 4.609 & 0.000 & 0.078 & 0.193 \\\\\n", "\\textbf{x3} & -0.0274 & 0.041 & -0.671 & 0.502 & -0.107 & 0.053 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & -0.0945 & 0.128 & -0.739 & 0.460 & -0.345 & 0.156 \\\\\n", "\\textbf{x1} & 0.9293 & 0.027 & 34.309 & 0.000 & 0.876 & 0.982 \\\\\n", "\\textbf{x2} & 0.0343 & 0.024 & 1.429 & 0.153 & -0.013 & 0.081 \\\\\n", "\\textbf{x3} & 0.2125 & 0.030 & 7.147 & 0.000 & 0.154 & 0.271 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{sigma2} & 0.3323 & 0.035 & 9.526 & 0.000 & 0.264 & 0.401 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{p[0-$>$0]} & 0.7279 & 0.093 & 7.828 & 0.000 & 0.546 & 0.910 \\\\\n", "\\textbf{p[1-$>$0]} & 0.2115 & 0.064 & 3.298 & 0.001 & 0.086 & 0.337 \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "%\\caption{Markov Switching Model Results}\n", "\\end{center}\n", "\n", "Warnings: \\newline\n", " [1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/plain": [ "\n", "\"\"\"\n", " Markov Switching Model Results \n", "==============================================================================\n", "Dep. Variable: y No. Observations: 222\n", "Model: MarkovRegression Log Likelihood -229.256\n", "Date: Thu, 30 Jul 2026 AIC 480.512\n", "Time: 06:34:58 BIC 517.942\n", "Sample: 07-01-1955 HQIC 495.624\n", " - 10-01-2010 \n", "Covariance Type: approx \n", " Regime 0 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 0.6555 0.137 4.771 0.000 0.386 0.925\n", "x1 0.8314 0.033 24.951 0.000 0.766 0.897\n", "x2 0.1355 0.029 4.609 0.000 0.078 0.193\n", "x3 -0.0274 0.041 -0.671 0.502 -0.107 0.053\n", " Regime 1 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const -0.0945 0.128 -0.739 0.460 -0.345 0.156\n", "x1 0.9293 0.027 34.309 0.000 0.876 0.982\n", "x2 0.0343 0.024 1.429 0.153 -0.013 0.081\n", "x3 0.2125 0.030 7.147 0.000 0.154 0.271\n", " Non-switching parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "sigma2 0.3323 0.035 9.526 0.000 0.264 0.401\n", " Regime transition parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "p[0->0] 0.7279 0.093 7.828 0.000 0.546 0.910\n", "p[1->0] 0.2115 0.064 3.298 0.001 0.086 0.337\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using numerical (complex-step) differentiation.\n", "\"\"\"" ] }, "execution_count": 11, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res_fedfunds3.summary()" ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-07-30T06:34:58.647318Z", "iopub.status.busy": "2026-07-30T06:34:58.647078Z", "iopub.status.idle": "2026-07-30T06:34:58.740032Z", "shell.execute_reply": "2026-07-30T06:34:58.737447Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Markov Switching Model Results
Dep. Variable: y No. Observations: 222
Model: MarkovRegression Log Likelihood -182.272
Date: Thu, 30 Jul 2026 AIC 402.544
Time: 06:34:58 BIC 467.195
Sample: 07-01-1955 HQIC 428.646
- 10-01-2010
Covariance Type: approx
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 0 parameters
coef std err z P>|z| [0.025 0.975]
const 0.7370 0.143 5.157 0.000 0.457 1.017
x1 0.8275 0.026 31.604 0.000 0.776 0.879
x2 0.1991 0.030 6.589 0.000 0.140 0.258
x3 -0.0251 0.031 -0.803 0.422 -0.086 0.036
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 1 parameters
coef std err z P>|z| [0.025 0.975]
const -1.8296 0.342 -5.343 0.000 -2.501 -1.158
x1 0.7043 0.082 8.623 0.000 0.544 0.864
x2 0.0809 0.033 2.461 0.014 0.016 0.145
x3 0.8931 0.063 14.082 0.000 0.769 1.017
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 2 parameters
coef std err z P>|z| [0.025 0.975]
const -0.0130 0.080 -0.162 0.871 -0.170 0.144
x1 0.9692 0.019 50.365 0.000 0.932 1.007
x2 0.0312 0.015 2.127 0.033 0.002 0.060
x3 0.1223 0.021 5.758 0.000 0.081 0.164
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Non-switching parameters
coef std err z P>|z| [0.025 0.975]
sigma2 0.1629 0.018 9.047 0.000 0.128 0.198
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime transition parameters
coef std err z P>|z| [0.025 0.975]
p[0->0] 0.6651 0.091 7.308 0.000 0.487 0.843
p[1->0] 0.1743 0.133 1.310 0.190 -0.087 0.435
p[2->0] 0.1601 0.050 3.175 0.002 0.061 0.259
p[0->1] 0.1326 0.060 2.220 0.026 0.016 0.250
p[1->1] 0.5481 0.160 3.433 0.001 0.235 0.861
p[2->1] 2.177e-07 nan nan nan nan nan


Warnings:
[1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/latex": [ "\\begin{center}\n", "\\begin{tabular}{lclc}\n", "\\toprule\n", "\\textbf{Dep. Variable:} & y & \\textbf{ No. Observations: } & 222 \\\\\n", "\\textbf{Model:} & MarkovRegression & \\textbf{ Log Likelihood } & -182.272 \\\\\n", "\\textbf{Date:} & Thu, 30 Jul 2026 & \\textbf{ AIC } & 402.544 \\\\\n", "\\textbf{Time:} & 06:34:58 & \\textbf{ BIC } & 467.195 \\\\\n", "\\textbf{Sample:} & 07-01-1955 & \\textbf{ HQIC } & 428.646 \\\\\n", "\\textbf{} & - 10-01-2010 & \\textbf{ } & \\\\\n", "\\textbf{Covariance Type:} & approx & \\textbf{ } & \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "\\begin{tabular}{lcccccc}\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & 0.7370 & 0.143 & 5.157 & 0.000 & 0.457 & 1.017 \\\\\n", "\\textbf{x1} & 0.8275 & 0.026 & 31.604 & 0.000 & 0.776 & 0.879 \\\\\n", "\\textbf{x2} & 0.1991 & 0.030 & 6.589 & 0.000 & 0.140 & 0.258 \\\\\n", "\\textbf{x3} & -0.0251 & 0.031 & -0.803 & 0.422 & -0.086 & 0.036 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & -1.8296 & 0.342 & -5.343 & 0.000 & -2.501 & -1.158 \\\\\n", "\\textbf{x1} & 0.7043 & 0.082 & 8.623 & 0.000 & 0.544 & 0.864 \\\\\n", "\\textbf{x2} & 0.0809 & 0.033 & 2.461 & 0.014 & 0.016 & 0.145 \\\\\n", "\\textbf{x3} & 0.8931 & 0.063 & 14.082 & 0.000 & 0.769 & 1.017 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & -0.0130 & 0.080 & -0.162 & 0.871 & -0.170 & 0.144 \\\\\n", "\\textbf{x1} & 0.9692 & 0.019 & 50.365 & 0.000 & 0.932 & 1.007 \\\\\n", "\\textbf{x2} & 0.0312 & 0.015 & 2.127 & 0.033 & 0.002 & 0.060 \\\\\n", "\\textbf{x3} & 0.1223 & 0.021 & 5.758 & 0.000 & 0.081 & 0.164 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{sigma2} & 0.1629 & 0.018 & 9.047 & 0.000 & 0.128 & 0.198 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{p[0-$>$0]} & 0.6651 & 0.091 & 7.308 & 0.000 & 0.487 & 0.843 \\\\\n", "\\textbf{p[1-$>$0]} & 0.1743 & 0.133 & 1.310 & 0.190 & -0.087 & 0.435 \\\\\n", "\\textbf{p[2-$>$0]} & 0.1601 & 0.050 & 3.175 & 0.002 & 0.061 & 0.259 \\\\\n", "\\textbf{p[0-$>$1]} & 0.1326 & 0.060 & 2.220 & 0.026 & 0.016 & 0.250 \\\\\n", "\\textbf{p[1-$>$1]} & 0.5481 & 0.160 & 3.433 & 0.001 & 0.235 & 0.861 \\\\\n", "\\textbf{p[2-$>$1]} & 2.177e-07 & nan & nan & nan & nan & nan \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "%\\caption{Markov Switching Model Results}\n", "\\end{center}\n", "\n", "Warnings: \\newline\n", " [1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/plain": [ "\n", "\"\"\"\n", " Markov Switching Model Results \n", "==============================================================================\n", "Dep. Variable: y No. Observations: 222\n", "Model: MarkovRegression Log Likelihood -182.272\n", "Date: Thu, 30 Jul 2026 AIC 402.544\n", "Time: 06:34:58 BIC 467.195\n", "Sample: 07-01-1955 HQIC 428.646\n", " - 10-01-2010 \n", "Covariance Type: approx \n", " Regime 0 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 0.7370 0.143 5.157 0.000 0.457 1.017\n", "x1 0.8275 0.026 31.604 0.000 0.776 0.879\n", "x2 0.1991 0.030 6.589 0.000 0.140 0.258\n", "x3 -0.0251 0.031 -0.803 0.422 -0.086 0.036\n", " Regime 1 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const -1.8296 0.342 -5.343 0.000 -2.501 -1.158\n", "x1 0.7043 0.082 8.623 0.000 0.544 0.864\n", "x2 0.0809 0.033 2.461 0.014 0.016 0.145\n", "x3 0.8931 0.063 14.082 0.000 0.769 1.017\n", " Regime 2 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const -0.0130 0.080 -0.162 0.871 -0.170 0.144\n", "x1 0.9692 0.019 50.365 0.000 0.932 1.007\n", "x2 0.0312 0.015 2.127 0.033 0.002 0.060\n", "x3 0.1223 0.021 5.758 0.000 0.081 0.164\n", " Non-switching parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "sigma2 0.1629 0.018 9.047 0.000 0.128 0.198\n", " Regime transition parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "p[0->0] 0.6651 0.091 7.308 0.000 0.487 0.843\n", "p[1->0] 0.1743 0.133 1.310 0.190 -0.087 0.435\n", "p[2->0] 0.1601 0.050 3.175 0.002 0.061 0.259\n", "p[0->1] 0.1326 0.060 2.220 0.026 0.016 0.250\n", "p[1->1] 0.5481 0.160 3.433 0.001 0.235 0.861\n", "p[2->1] 2.177e-07 nan nan nan nan nan\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using numerical (complex-step) differentiation.\n", "\"\"\"" ] }, "execution_count": 12, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res_fedfunds4.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Due to lower information criteria, we might prefer the 3-state model, with an interpretation of low-, medium-, and high-interest rate regimes. The smoothed probabilities of each regime are plotted below." ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-07-30T06:34:58.742684Z", "iopub.status.busy": "2026-07-30T06:34:58.742434Z", "iopub.status.idle": "2026-07-30T06:34:59.619358Z", "shell.execute_reply": "2026-07-30T06:34:59.617473Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axes = plt.subplots(3, figsize=(10, 7))\n", "\n", "ax = axes[0]\n", "ax.plot(res_fedfunds4.smoothed_marginal_probabilities[0])\n", "ax.set(title=\"Smoothed probability of a low-interest rate regime\")\n", "\n", "ax = axes[1]\n", "ax.plot(res_fedfunds4.smoothed_marginal_probabilities[1])\n", "ax.set(title=\"Smoothed probability of a medium-interest rate regime\")\n", "\n", "ax = axes[2]\n", "ax.plot(res_fedfunds4.smoothed_marginal_probabilities[2])\n", "ax.set(title=\"Smoothed probability of a high-interest rate regime\")\n", "\n", "fig.tight_layout()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Switching variances\n", "\n", "We can also accommodate switching variances. In particular, we consider the model\n", "\n", "$$\n", "y_t = \\mu_{S_t} + y_{t-1} \\beta_{S_t} + \\varepsilon_t \\quad \\varepsilon_t \\sim N(0, \\sigma_{S_t}^2)\n", "$$\n", "\n", "We use maximum likelihood to estimate the parameters of this model: $p_{00}, p_{10}, \\mu_0, \\mu_1, \\beta_0, \\beta_1, \\sigma_0^2, \\sigma_1^2$.\n", "\n", "The application is to absolute returns on stocks, where the data can be found at https://www.stata-press.com/data/r14/snp500." ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-07-30T06:34:59.624648Z", "iopub.status.busy": "2026-07-30T06:34:59.624355Z", "iopub.status.idle": "2026-07-30T06:35:00.558429Z", "shell.execute_reply": "2026-07-30T06:35:00.556120Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "image/png": 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u186fPx8rV650LQjMmzcPN954I370ox/hV7/6lVgcaGpqwgMPPICvfe1rhXekBzfccAPmzZuHD37wg3jllVeQTqeRyWSwYcMG3HTTTXjkkUcAWAsM0WgUr732mitN+/jjj8exxx6Ln/zkJ9i1axcymQweeeQRrFu3rl/bVIh169bh6quvxuLFi4Xr+TvvvINVq1aJYwY4Lba+9KUv5f282267DaeffjpeeOEFZLNZGIaB5cuX4+qrr0YkEsG1114rXnvrrbeiu7sbl156KVatWgXTNNHV1YW///3vaG5uRiAQwJ133ok1a9aU/Lu+/OUvCwd6ANi1axeuuuoqLF++HP/zP/+jqPef+9zncMQRR+DLX/4ydu7cCdM08dBDD+HBBx/ED37wA1RXV/frtQzDMMwIYTjczBiGYZiRQUNDgxkKhczPf/7zeV83Z84c87jjjhN/T5o0ybzqqqvMZ5991jzssMPMcDhs1tfXmzfddJOZzWbF6/bu3Wt+73vfM+fOnWvG43EzHo+bxx13nHn//fcrn59Kpcz/+I//MCdPnmyGw2EzHA6b733ve80lS5Yor9Pduem911xzjRmPx81oNGqecsop5vr16z3dudeuXWsee+yxZigUMuvq6swzzzxTef6BBx4wTzzxRDMYDJrxeNycOnWq+dnPftZcvXp13v1D+8OLjo4O8xvf+IY5bdo0MxQKmZWVleaRRx5p/vSnPzU7OjrE637961+bEyZMMKPRqFlXV6e4bq9Zs8ZcuHChCcCsqakxr7vuOnPr1q2+7tzPP/+8azuuv/56MxaLuR5/7LHHTADmW2+9ZZqmaabTafP+++83Tz/9dLOqqsqMx+PmlClTzBtuuMHs6uoS79u4caMJwPzGN76Rd9+89dZb5rXXXmvOmTPHjMfjZjgcNmtra81LLrnEfPPNN12vX7lypXnppZeaFRUVZjQaNWOxmHn66aebf/jDH8xVq1aZU6dONSdOnGiuW7fONE23O7cfy5cvNz/1qU+JfRyJRMzTTz/d/Mc//uH5+sbGRvPKK6804/G4GYvFzBkzZpi//OUvD/i1DMMwTPkTME22hWQYhmG8yWaz6OnpQUVFBWKxmO/rent7kclkRO1wV1cXwuGwSMVNJpOIx+N5vyudTiMSiRRMi04kEojFYp71u93d3QiFQuJ7ZQzDQCaTEb+jp6cHADyVwHQ6jUQigWAwiJqaGtfzuVwO2Ww27z6R0feHH6lUCpFIJG9tMu1rr2Miv9+0e2RXVlYKFZWOZ3V1NcLhsPLeRCKBdDotjMSITCaD3t5e1NTUIBQKKc8ZhoFcLodIJOLaznvuuQdf+cpXsGnTJsycOTPv7yay2SzS6XTB/QRYNdq9vb2oqqpSzplkMolkMolYLIaKigqkUikkEgnP7fcj3znmtR2pVKrg+V3qaxmGYZjyhYNohmEYhmEGnE9+8pOYNGkSbrvttuHeFIZhGIYZUDiIZhiGYRhmwOnp6UE8Hncp3gzDMAwz0uEgmmEYhmEYhmEYhmGKhN25GYZhGIZhGIZhGKZIOIhmGIZhGIZhGIZhmCLhIJphGIZhGIZhGIZhiqQs3T4Mw0BjYyNqamoKtjphGIZhGIZhGIZhmAPFNE10d3dj6tSpedsclmUQ3djYiBkzZgz3ZjAMwzAMwzAMwzCjjN27d2P69Om+z5dlEF1TUwPA2vja2tph3hqGYRiGYRiGYRjmYKerqwszZswQ8agfZRlEUwp3bW0tB9EMwzAMwzAMwzDMkFGopJiNxRiGYRiGYRiGYRimSDiIZhiGYRiGYRiGYZgi4SCaYRiGYRiGYRiGYYqEg2iGYRiGYRiGYRiGKRIOohmGYRiGYRiGYRimSDiIZhiGYRiGYRiGYZgi4SCaYRiGGZXkDBOJdG64N4NhGIZhmBEGB9EMwzDMqOQjv3sTZ//sZTR3JYd7UxiGYRiGGUFwEM0wDMOMSlbs6kBzdwo/+Ne64d4UhmEYhmFGEP0Kovfs2YNnnnkGe/fu9X3Ntm3b8PLLL2P37t393jiGYRiGGWyefHcvGjsSw70ZDMMwDMOMEEoKolevXo0Pf/jDOPXUU3HRRRfhxRdfdL0mm83iU5/6FI455hh897vfxbx583D99dcP2AYzDMMwzIFiGKby9x0vbR6mLWEYhmEYZqRRUhC9a9cufOITn8D27dt9X3PHHXfg6aefxrvvvovFixfj9ddfx+9+9zs8/PDDB7yxDMMwDDMQ5Ew1iH55Q8swbQnDMAzDMCONkoLoSy65BB/5yEcQDod9X3P//ffjyiuvxJw5cwAAJ5xwAi688ELcd999B7ShDMMwDDNQ5DQlOqv9XS48s6YJN/9zDbI5Y7g3hWEYhmEYmwE1Fstms1i7di2OP/545fHjjz8eq1at8n1fKpVCV1eX8h/DMAzDDBaGpkTrf5cLtz2/CQ+8tRMrd3cM96YwDMMwDGMzoEF0T08Pstksxo4dqzw+btw4tLe3+77vlltuQV1dnfhvxowZA7lZDMMwDKOgK8/lGkQns1Yf61SWlWiGYRiGKRcGNIiORqMAgERCdTnt6+sTz3lx0003obOzU/zHjt4MwzDMYKIbi+l/lwuUdl6u6eYMwzAMMxrxL27uB5WVlZg4caIrCG5oaMDs2bN93xeLxRCLxQZyUxiGYRjGF70mukyFaBHc5wxWohmGYRimXBhQJRoALrzwQvzzn/+Eac9IMpkMnnjiCbz//e8f6K9iGIZhmH6hu3Prf5cLpEBnc+W5fQzDMAwzGilJiW5ra8PSpUvF3++++y6eeeYZzJgxA0ceeSQA4Pvf/z5OPvlk/Nu//RsuueQSPPjgg8hkMrjhhhsGdssZhmEYpp/owm651kTTdunKOcMwDMMww0dJSvTu3btx++234/bbb8eFF16Id999F7fffjuef/558ZrDDjsMS5cuxZgxY/DQQw9h/vz5WLp0KSZNmjTgG88wDMMw/UFXnss1RqXguVyVcoZhGIYZjZSkRB933HF45plnCr7usMMOwx133NHvjWIYhmGYwUQ3EjPLNEgVQXS5RvkMwzAMMwoZ8JpohmEYhil39KC0XGPUHNdEMwzDMEzZwUE0wzAMM+pwGYuVaRSd45pohmEYhik7OIhmGIZhRh1eQWk5pnSTARr3iWYYhmGY8oGDaIZhGGbUQUF0JBQQj5VjnOoo0dwnmmEYhmHKBQ6iGYZhmFEHBdHhoHMbLLc2V6ZpOjXR5RjhMwzDMMwohYNohmEYZtRBAXNYUqLLre5Y3pxy2zaGYRiGGc1wEM0wDMOMOpx0buc2WGZCtBI4cxDNMAzDMOUDB9EMwzDMqIOUaLUmurwCVTlw5nRuhmEYhikfOIhmGIZhRh0526ernGui5TZcrEQzDMMwTPnAQTTDMAwz6vB05y4zA2xWohmGYRimPOEgmmEYhhl1OMZi5atEG0pNdJlF+AwzCnhn537s700P92YwDFOGcBDNMAzDjDqyHsZi5RZEZ5Ugehg3hGFGIWv2dOLDv30L3/rbyuHeFIZhyhAOohmGYZhRhyH6RAcQsDO6yy1j2jBZiWaY4WJfVxIA0NSVGuYtYRimHOEgmmEYhhl1UL1xMBhA0I6iy02J5ppohhk+MjnrmjP42mMYxgMOohmGYZhRBzlfhwJAUCjR5TVZ5j7RDDN80DWXK7NxgWGY8oCDaIZhGGbUQepSKBhAQCjRw7lFbliJZpjhI2uXULASzTCMFxxEMwzDMKMOUpeCgQBCFESX2WRZ6ROdK69tY5iDnax9zfECFsMwXnAQzTAMw4w6cpISXa7p3AYr0QwzbJASzaUUDMN4wUE0wzAMM+qggDmkGIsN5xa5kQPncgvwGeZgh64/vvYYhvGCg2iGYRhm1EF9l4MBucVVeU2WuSaaYYYPuv742mMYxgsOohmGYZhRB/VdDgcDCNn53GaZBdHcJ5phhg9uccUwTD44iGYYhmFGHUKJltK5c2UWpypKNBuLMcyQQgtX3OKKYRgvOIhmGIZhRh1On2i5xVV5TZa5TzTDDB+kRPO1xzCMFxxEMwzDMKMOYwS4c3NNNMMMH3T9cRDNMIwXHEQzDMMwow6aGAeVmujh3CI3Sp9onsgzzJCSzXGLK4Zh/OEgmmEYhhl1iBZXAUg10eU1WZa9xMpt2xjmYIdbXDEMkw8OohmGYZhRh6xEl2uLq6wURXMQzTBDS5bTuRmGyQMH0QzDMMyoQzYWCwpjseHcIjdyUJ/lFlcMM6SQI75hll/7O4Zhhh8OohmGYZhRBxmLhUPl2yc6x+ncDDNs5DgThGGYPIQH40M3bdqExx9/HM3NzZg6dSo+8pGPYObMmYPxVQzDMAxTMpSqGQw46dzlNlGWJ/Hszs0wQ0tGbjFnmoMzYWYYZsQy4Er0448/jgULFmD9+vWYPHky3nzzTRx++OFYtGjRQH8VwzAMw/QLtcVVeaZzsxLNMMNHLsfu+AzD+DPgC2t33HEHrrjiCvzxj38Uj5155pm466678J73vGegv45hGIZhSoZqooMBp0902aVzc4srhhk2MpzOzTBMHgZciZ48eTI6OzvF34ZhoLu7G1OmTBnor2IYhmGYfkEqbzkr0YbBQTTDDBfyNce+fgzD6Ay4En3bbbfhK1/5Cs444wwsWLAAK1aswMknn4ybb77Z9z2pVAqpVEr83dXVNdCbxTAMwzAC0SdaCqJzZaZEy3XQXBPNMENLNqfWRDMMw8gMuBK9ZcsWLFmyBHPmzMFhhx2GmTNn4vXXX0dDQ4Pve2655RbU1dWJ/2bMmDHQm8UwDMMwgpxkLBa074Tl1iealWiGGT6yirEfS9EMw6gMeBB91VVX4dJLL8Wf/vQn3HjjjXj00UexYMECXHvttb7vuemmm9DZ2Sn+271790BvFsMwDMMIcsJYDEKJLueaaJ7EM8zQIivRfPkxDKMzoEF0LpfDtm3bcOKJJyqPn3jiidi4caPv+2KxGGpra5X/GIZhGGawEOncAakmuswmyjlWohlm2MganM7NMIw/AxpEh0IhHHHEEXjmmWfEY4Zh4LnnnsPRRx89kF/FMAzDMP0mK5TooHDnLrd07hzXRDPMsKEsYuX4+mMYRmXAjcV+85vf4EMf+hAWLlyIo48+GkuWLMH+/fuVwJphGIZhhhPDI527nINoVqIZZmjJSI3aWYlmGEZnwIPos846C9u2bcNrr72Gffv24aMf/SjOPvtsVFRUDPRXMQzDMEy/EMZi5dziivtEM8ywwYtYDMPkY8CDaACora3FpZdeOhgfzTAMwzAHTE6uifZw584ZJrqTGdRXRodj8wBwiyuGGU4ycp9oVqIZhtEYcHduhmEYhil3nHRubyX6+odW4OQfv4Cdbb3DsXkAWAljmOEkJ7e44ppohmE0OIhmGIZhRh00Jw4q7tzORHnd3i5kciaW7mgfjs1zbU/OMMuuBRfDHMwoLa742mMYRoODaIZhGGbUISvRAQ937nTWUqG2tfQM+bYRupkRq9EMM3RkOROEYZg8cBDNMAzDjDpkY7FQ0J3OnRJBdHmkcwNcF80wQ0mO+0QzDJMHDqIZhmGYUYdiLObR4koo0a3DqERrQTOnlDLM0KG0uOIFLIZhNDiIZhiGYUYdNCkOBwMIUjq3NFFOZXMAgB1tfcM2gdbVL1aiGWboYGM/hmHywUE0wzAMM+qQ07kDmju3aZoinTudNdDYkRiWbTS0iXuOHYIZZsjIyMZiHEQzDKPBQTTDMAwz6qDU6FDQSumWH8saJmQReOswmYvpyjMr0QwzdCgtrvjaYxhGg4NohmEYZtQhlOhAAEH7TkgtpEiFJra3Do+5mEuJ5ok8wwwZcosrNhZjGEaHg2iGYRhm1JFTWlwFlMfSWhA9XA7d7ppow+eVDMMMNLL6zOncDMPocBDNMAzDjDoMT3du6zkyFSOGy6Hb5c7NMTTDDBnyohVngTAMo8NBNMMwDDPqkI3FhDs3pXNnykSJdtVEcxTNMENFlt25GYbJAwfRDMMwzKiDyh1DgYAwFqPs6bTdHzYSsh7f25lEMpNzfcagb6Oh/80TeYYZCgzNXJBrohmG0eEgmmEYhhl1GF410ZoSPbYqKl7fm8oO8RY6yjjBDsEMMzRktKwPXsBiGEaHg2iGYRhm1JGVgmg9nTuds1TneCSEaNi6TSazQ59KrQfNPJFnmKFBv9b42mMYRoeDaIZhGGbUYShBtJrOTUp0NBREnILoYUjn1h2BWYlmmKEhk+MgmmGY/HAQzTAMw4w6KHXb6hNtu3PbE+WUXYwciwQRj4QADE8Q7VbD2FiMYYYClzM+10QzDKPBQTTDMAwz6jA80rn1muhYOCQF0UMfwOpmRrrRGMMwg0M2p9dED9OGMAxTtnAQzTAMw4w6KEANBeHbJzoaCiIesW6TqTJQornFFcMMDW4/Ar72GIZR4SCaYRiGGXWIPtEBR4k2yVgs65HOnR3+IJrrMhlmaMhyTTTDMAXgIJphGIYZdSjp3FQTTencWdlYbPjSubnFFcMMD3rWR44vPYZhNDiIZhiGYUYdirEY9Ym2582OEh1CLDJ87twuNYxn8gwzJLCpH8MwheAgmmEYhhl1UMAsG4uZXkp0GRmLsRLNMEODu8XVMG0IwzBlS3i4N4BhGIZhhhpSlsJSn2gnndtSnWORIOK54WtxpfeJ5rpMhhkauMUVwzCF4CCaYRiGGXUIYzGlJtp6TqRzh4PIhK2ErcRwuHPrLa54Is8wQ0JGr4nmBSyGYTQ4nZthGIYZddCcOCS5c9NEWaRzh5107nJoccV1mQwzNLjby3EQzTCMCivRDMMwzKgjJ7tz2+ncrhZX4ZBIqU5mh6Em2v7uQAAwTbfRGMMwg0NGK4LWSysYhmFYiWYYhmFGHcKdOxhAIKCmc4ua6LBsLDZ8SnTMTinnlFKGGRpcWSBcSsEwjAYr0QzDMMyoQ/SJDgQQ0ozF5JpoYliMxeztiYaCSGYMTillmCFCv9ZYiWYYRmdQlOju7m7cfPPNOOmkk3DyySfjtttug8G1XAzDMEyZ4CjREDXRhtbiKhYOikB6OFpc0UQ+GrbUcFaiGWZo0EsneAGLYRidAQ+iE4kEzj77bDz33HP4+c9/jvvuuw9NTU145JFHBvqrGIZhGKZkTNOEKRuLkTu3HSd7GYsNZ4uraMjaPg6iGWZo0E38+NpjGEZnwNO5f/GLX2D79u3YunUrxo4dCwD46U9/yko0wzAMUxbIE+JQMICApkTLxmKh4NAai/Wmsrj/rR24+KgpQi2PRViJZpihJKMp0dwnmmEYnQEPoh9++GFcccUVIoAmgkH2MGMYhmGGn6wWRId8jMWi4SDC9uR5qJTox1bswf8+sxFb9vUgl3NqovXtZhhm8OAWVwzDFGLAI9tNmzbh0EMPxXXXXYcjjjgCZ599Nu644w5ks1nf96RSKXR1dSn/MQzDMMxgIKtKcosrL2OxiiHuE72luQcA0JnICCU6Kty5OaOLYYYCbnHFMEwhBjyIzmQy+OEPf4jZs2fjkUcewVe/+lX893//N/7zP//T9z233HIL6urqxH8zZswY6M1iGIZhGACqyhQMuNO5vWuihyaA3b2/T2wDzePJ3IzVMIYZGlwtrvjaYxhGY8CD6AkTJuDMM8/EjTfeiCOPPBIf/ehHccMNN+Cee+7xfc9NN92Ezs5O8d/u3bsHerMYhmEYBoBjIAboSrT1WEqqiY5HbHfu7NAo0bvsIDqdNZwWV9wnmmGGlAz3iWYYpgADXhN9yimnIBqNKo/V1dUhmUzCNE0EaMlfIhaLIRaLDfSmMAzDMIwLeUIcCgQQCvqnc9NzQ1ETbRimCKJT2RyyOUcRB1iJZpihIpdjd26GYfIz4Er01772NTz99NNYvHgxAKCpqQm/+93vcOmll3oG0AzDMAwzlCjp3MGA6BNtinRux1hsKNO5W3pSQgVPZQ2hjEdsYzGuy2SYoUFfsOIgmmEYnQFXos8//3zceuutuPjiixEKhdDd3Y0rrrgCd95550B/FcMwDMOUDCnOpDLTAi9NlFOSEk0q8FAo0aRC0zbQ9nBNNMMMLfq1xi2uGIbRGfAgGgC+9KUv4Qtf+AJaWlowfvx4hMOD8jUMwzAMUzIUnFJrK7+aaFmJTmUNGIaJYHDwMqp2tjlBdDpreLhz80SeYYYCV4urHF97DMOoDFrz5lAohMmTJ3MAzTAMw5QVNEEO2ndAO1sapmnCNE2pJjokgmjACa4HC1WJznko0dziimGGAmpxFdb8EhiGYYhBC6IZhmEYphyh4DRsR9EBSYlOS4ZC0XAQ8bBzmxzslO5dbb3i36mMk84dDbESzTBDib6AxdcewzA6HEQzDMMwowpKk6bM7KBUEy2rzbFwEOFQUKhRg93mSlaiE1LALty5OaWUYYaEjH2txexMFL70GIbR4SCaYRiGGVWQyzUZi1EwbUip3ICjQg2VQ/eu/Qnxb9nYiGuiGWZoydmlE04WCJdSMAyjwkE0wzAMM6rIae7c9H/TlEzFQkGR5h2PDL5Dd28qi9aelOdz0RCpYRxEM8xQ4CjRvIDFMIw3HEQzDMMwowphLBZQW1wZiqmYc3uMhUmJHrwgene7lcpdHXObcdJEnltcMczQoNdEsxDNMIwOB9EMwzDMqIImxHo6t1UTbQXKUSmIdpTowZtJ7+1IAgBmjq2E3kVLpJQOQ2FmTyqLRZtbkM1xFMGMHrIiiOYsEIZhvOEgmmEYhhlVOMZiap9o07RcsQFViRY10YNoLLa30wqip9bHxcSdEMZiw6BE3/rcJvzbPUvw5Oq9Q/7dDDNc0KLRcF57DMOUNxxEMwzDMKOKnMtYTErn1ibPgBNEp/qRzm2aZlH1lE2dlqnY5Lq48t3ytgyHudG+Liu4b2hPFHglwxw8uNO5OYhmGEaFg2iGYRhmVGGY/u7cjhLtqMEHks79mXuX4D0/fQldyUze15ESPaWuQlHBgwGIFlvDoYbRokIiPbjtvRimnMhwn2iGYQrAQTTDMMwoI5MzYI7iGj/qt6wr0TkTSOesYJHMvAAg3k9jsd5UFos2t6KxM4ml2/fnfW2TrfhOro0r3x0KBsR2GsNwzDIURA+iqdrByrNrm/Cnt3YM92Yw/UC0uOIgmmEYHziIZhiGGUUkMzmc/b8v47P3LR3uTRk2hBJNNdH2ndCUlGgy8wLkPtGlBZLbWnrFv1fu7sj7WkeJVmuig4EAwvYGZofBWIy+s4+V6JL5zj/exff/uVakxDMjB9Hiio3FGIbxwd1Lg2EYhjloaWjvQ2NnEh2J/OnFBzOixVWemmhZDaZ/J7OlpXNvbekR/16xqyPva5vsIHpyXVxJ5w5LSvRwqGG0PwazvdfBSk8ya/0/lcWkYd4WpjS4JpphmEKwEs0wDDOKSGdN+/+jt2VRTtREW3+LINrAgCrRchC9aneH70S8O5lBT8oKuHRjsWAwMKw10eRS3JfODvl3j2RM0xTHK8PtwUYcosWVvYDGSjTDMDocRDMMw4wisnatX9YwR626Qr87FHAr0dQnWjEWEzXRpQVDW5qdILo7lcW21h7P15EKXVcRQWU0rCjRoWAAodDwKdGU1poYxB7ZByMZKfU+kx2d19lIRrS4CoXsv/kYMgyjwkE0wzDMKEJWxdKjVCFzp3Nbj1tBtFeLK3Ln7p8STaq2X0q3XA8NqAF8KBAQwf5wKNHCWIyV6JLIGnydjWR0JXo4TP0YhilvOIhmGIYZRaQlVWy0Tu7dxmKkREME0bIaXNGPdO5szsCO1j4AwHkLJgIAVviYi8n10Pp3h6R07uHoE50R6dxcE10KsvrM6dwjD1KiucUVwzB+cBDNMAwzilAUslFaF00xjaexWNZtLNafmuiG9gTSOQOxcBAXHz0FALDSR4lu7EwAkJToiKRED7OxmJPOzUF0KWT4OhvROMZiIeVvhmEYgoNohmGYUYSSzj1KJ/c5XYmmdG5DSucOSTXRIp27+P1F9dBzJlRj/uRaAMCu/X2erxVKdG2F/d2SsVgggPAw1kRnRTo3B9GlIF9nxSrRhmFi+a52dkIvA2jxSPSJ5nRuhmE0OIhmGIYZRSjp3KM1iLZVQgpOAwE5nds2FlNaXNlKdLb44IbqoedOqBJBuF8w5aqJjmjGYtQnelhaXLES3R9kI6pig+in1zThQ795E794buNgbRZTJHqLK1aiGYbR4SCaYRhmFNEfhexgQ6Rz28FzKOhO5z7QFlcURB86sVp8lt/+zlcTHVZqoodBiTa4Jro/pBUDv+KOG2UqNHYkB2WbmOKhdHzuE80wjB8cRDMMw4wi5Jro1ChVokWLK82d2zQddV5x5w6Xns5N6vKMMZWIhMjh1zsQ3qvXREvu3EGpJnpY3Lnt/ZHOGqzGlYCiRBd5nZHaP1oN/8oJoUTbC2j9vfb2dibQm+qfsz0H7gxT3nAQzTAMM4rIsDu3qG8Man2ic4YpJssRO9Ub6J8STQsU8UgIESkg19XonGGiK2lNssdWRQFo7tyBYTYWk76TU7qLpz8ZHyl7/2ZH6XVZTtAiiFCi+1ET3dqTwtn/+wr+7Z7FJb/3239fhdN/8hK6kpmS38swzNDAQTTDMMwoIs3GYiIYpYztgNQnmgKecNC5PVbFrCC6pwRFiT4nEgooAbm+cCEfAwrWo2G9JtpWoochuJIDwD7uFV00/QmiaZFiODIOGBXK2IkeQE30Htuhf2tLb8nvXbS5FU1dSWze11PyexmGGRo4iGYYhhlFZDmIdvpEB/WaaEeBkgPfcVUxAMD+3nTR3yGnhUekgFxP7ZXVbVK9/PpED3VslTNMyAJcMj06z5f+kMnJGR/FHTg6F0brdVlO6MZihgmYJarRlI3SH2d7CuL5XGCY8oWDaIZhmFFEph+uwQcbNEHW07lN0xST17BkLDau2kqz7kvnip4Q076NhoIISoFwRguoaKIdCgbEd8p9otWa6KE9Xvr50ZdhJbpYsv1Soq3XsRI9/GS0dG6gdDWanP7TOaNgFsnu/X340p+W4Z2d+5XvT5XQEYBhmKGFg2iGYZhRBKdzy+ncqrFYzjTF5JWCXgCojoVFWmdbb6qo76DPoXroiI9DN02S49JkXa2JdlLLh7omWk89517RxSPvu2KNxUiJHq2LW+WEo0Q7C1rkpXDL0+vxid+/XfA4pSQjwkJ+As+sacKza/fhL4t3A3AWYUar+SPDjAQ4iGYYhhlFZJTWO6NzgibSuQNan2jDUaIjkhIdCAQwzjb9auspLqWbFijocyg9XN/nNEmW1We1xVVw2Ny5s5pqzkF08RTbJ7qpM4mGdqu1lRNEsxI93NAxk69Fw7CyVf74xg68ta1NtLHzQ77WC107dOxpUY3OgdG60MkwIwEOohmGYUYR8uR+tKocWU2JDol0bmfyGpZqogEnpbt4JdoxFgMcgyKXEp1xT9blfweDznaa5tC2vXGlc3MQXTTqYpX3MTMMEx/49eu4+JeLkMzkWIkuI7yU6KxhoK03LQLbQgGunIpdSImmY07jM/WpHq1jNMOMBAY1iM5kMlizZg127949mF/DMAwzbGza142nVu8d7s0omgync3v0iSbjLlOkUcru3IBjLtZapBKtK1n0ebq6m7Qn2moQ7UzcZXduYGjVaD2Y4xZXxSO3BvMLitM5A83dKXQls+joyzju3BxEDyuWN4J1/KKaEt3YkRB/l5LOXWgBis6XTM5QDP24JpphypdBDaK/853v4Oijj8Y3v/nNwfwahmGYYeOGv63EdQ8ux6Z93cO9KUXBNdEA7YJgkNK57cdN7z7RgKRE9zedO+yTzp1x+kkTihIdCCAqpZYPpUqppxVzOnfxyHXQ+YJoojedRdI+Fzide3iRvQcUYzHTVILodDb/cZJV5IJBtP3ajGHyQifDjBAGLYh+6qmn8Oyzz+Lcc88drK9gGIYZdlq7raCqlPZHw0mxtZoHMzmtJjootZBy0rnV2+P4akuJbusp0VgspBmLaZPilJcSHZFrogOKGlZoUp0zTPxl8a6C9ZrFoCuirEQXTzGBkHwuJNKczl0uyNkekXDQWWQzTOzpSIrnCnlKyMc9WXQ6t6Ecf07nZpjyZVCC6MbGRlxzzTX485//jIqKisH4CoZhmLKAJlIjZeLLKoc7nTskt7iiWuagpkSTsVgRiyWmaYrzgoLnqHDn9m5xJadwe6Vzk1t4oUn1G1ta8R+Prcb/e2Jdwe0shB4kcE108cjp3H7Blnwu9KayItDiFlfDi7z/w8GAGB9yhqpEe7muN3Um8fy6fTAMU0nFLnTtUN18JmeovhWZ0TlGM8xIYMCDaMMw8OlPfxrXX389jj/++IH+eIZhmLIiJeoYR8bEV0nnHiGB/0BDSrTTJ9p63DCdCbSuRI+rpprowkq0PAmP6kq0T4srWX2Oaunc8mOFFj7a+9LK/w8Edzo394kuFjWd23tskM+FvkzOSecepYtb5UJOOl6yJ0HONLG3U0rn9hg///Px1fjiA8uwePt+LZ07/7WTFYuxpjAVs76DF64YplwJD/QH/vjHPwYAfOtb3yr6PalUCqmUMzHp6uoa6M1iGIYZFGgiNVICUnlCz0q09XdANhazJ7B+7tzFpO3LwRHVQvu1uEpmvJRoKZ3bfl8sHERfOlfQaChVpHNwMXA6d//JSoGQX1CsBFmpnNi/chDFDD0pO3ANBGwlmso9tHRur+wjer65O6kc32LTuTM5QxmjWYlmmPJlQJXoVatW4ZZbbsGNN96IdevWYc2aNeju7kZXVxfWrFmDTCbj+b5bbrkFdXV14r8ZM2YM5GYxDMMMCoZhignPSFGis1xvJ4yDgkFViTZNIGObBUU0d+7xVVQTXUQQnS1Bic64lWg5oNaV6ELHjJ4fiGPL6dz9J1OE94D8eFcyI87LkTKWHKzIbecCASedO2voxmLu49qbshTnRDqnPF/QWEy6j2Q5W4hhRgQDqkS3tbVhzpw5+Pd//3fx2K5duxAIBPDxj38czz33HKZOnep630033YQbbrhB/N3V1cWBNMMwZY88wRmJNdEjZZsHGt1YTG4hRcdUV6LHSn2iTdMU6rUXspJFn+3bJzrrTNgJ+d/0fgqsCwXHNHFP+ShfW5q7UVcRxYSaWN7PAdzB3EhUovd1JfH1v67Ap0+dhcuOdc8/BotMEYGQ/BrZsC5rmAXPMWbw0H0KaLEtkc6hpds5Tl7HldK2E5lciTXRrEQzzEhjQIPoc889F2vWrFEeu/TSSxGPx/HII4/4vi8WiyEWK3xDZxiGKSdS2ZEXkKY5nVsofmHR4koKokVrKm9jsUzORFcyi7qKiO/ny87c9NmOO3cRxmKSKk2BfqzImuh0HiW6tSeF99++CIdNqsHT178n7+dYv0NL5x6BSvQbW1qxePt+hEOBYQuii1GidcO6TM5ENMxB9HCgO+bTOLFHUqEB7zT9HluJTmYMJQAulM4taqINQykF4D7RDFO+DGqfaIZhmIOZdBHmQeUGpwr6p3MDzjENa+nc8UgI1TFr3blQmyuaXMv9nf1qor1aXMnv05XswjXROfv/7mO7ryuJrGFi9/6+vJ8hfsdBoEQ7yvzQnutqKznvsUHuM6zX2o+URbmDEbGwZS9m0TihXzf6cc3mDOFxkMjkkJKN44pM585kTWWhbbSO0QwzEhj0IHrWrFmYOXPmYH8NwzDMkCNPcLIjxAyIW1xZBmKA1Cc6UDidG3DMxQq1uaJ9LKvZfjXRNOmORxwlOhwKOu23gqoSXXQ6t0ewTc8VUsX030GMxJpo+g1DHYwUU+ohv0YPorkuevhIaWZ/NE7sbleDaP2c6pWuj1QmpyzcFJvOnTUMxViO07kZpnwZcHdunTvvvHOwv4JhGGZYkOtOR0pAyuncbiU6FHQHzLoSDVgp3Tvb+goq0TQhlltVFWxxFVa/j9y4g5oSXWw6dyZnImeYar13libqlnmR3sZLR18YGonp3HS+D6cS7XfM5HRgPYhmBXJwMU0T976xA0dNrcUpc8Ypz+nXZEgo0Wo6t35c5TZWek10se7c6azWJ3qUjtEMMxLgdG6GYZh+oqpN5ascZXOGcJWVJ+6jdaJOPzskaqLdr/FWoqlXdH4l2qmrdqdz6+eJUL0i7iAakGuiizMWk5/XJ/ny8S5mck5ppVVR67tHYjr3cCnRpdZEu5ToEjNbfv3SZjy6vKGk94xm1jZ24Yf/Woeb/7nW9Zxu9kfjREMhJTrlBNHJTK7EPtG2O7dhcrYQw4wQOIhmGIbpJ/IER++pW0789xNrcfpPXsI7O/crk/PROkHLl85N6C2uAGB8kb2iKVBWa6ILuXOHlMdFKmk/lWjrs3N5nvP+HMMw8ZOnN+D5dftEkFBrm6iNRCU6I2qih3bbM8XUROcxFislnXtvZwI/f24T/ssjIGS86UpYLVe7ku7Wq/o1SdfgnnZrIXIsmQxq11BPyjnHEhmjxBZXdpZITg2i2ViMYcoXDqIZhmH6yUhx5960rwcAsKW5R5nQj14lWjcW80jn9lKi7V7Rzd3JvJ/v1EQXDqIpzTOuKdFRTQWLFWkslk9tlr/bL710VUMHfvfqVtzy1HqxMFQbt4PoIQpENzZ1Y0NT14B81lAq0Zv3dePLf34HG5q6ilSi/VO+S9leUkC7U9myXswrJ1JS+rTrOa13O1VEdNv7eaLdHk4/rvmU6ELp3GnpPOV0boYZGXAQzTAM008Ud26jfNO5aVKY1NSR0apEO32irb89SqI9g+jDJlUDAP65shHNXf6BNE2II1KLIqdPdOEWV9bfehBtPV+SEq3VARczqe+wFbruVFZsa22FZZ9SKCV1IMjkDHz0d2/iI799a0BUOLouhyIYeWR5A55e04RHljUUlfGR71iWokQnZQOrEZhyPxzQvvcMorV0bt0fYbxd1lE4nbv4PtHKAld25HltMMxohINohmGYfqIE0WU82aFJdjKTGzHp3F//6wp87r6lMM2BX5ww7MAqJPWJ1sVor3TuS4+ZimOn16E7mcV//Z9/6iydC1410fo+9zUWi6hBdLRId2554t6fdO4+OyU1mc4Jl2BSopMZQ+y7waIzkUFXMoueVBZdiQMP2kU69xCc67Tv+jI5pX2Vn6qcL3ullMwW+fPlQI7xR7jYe+xnfWErqK2ykUt/Wuv53pvWgmhpcaNQKYS8aCIH3KxEM0z5wkE0wzBMP5GDlGwZK9GkbCQzxohI5+5LZ/F/qxrx0oZmtBRwws6HaZr40b/W4f43dyiPZ0UQ7dwC5ZTuYMA9cbZeH8AtHzoG4WAAT69pwqLNLZ7f27+aaN1YTG2vU2w6dypPoJwuIp2bgrBEJieMxersmmhAVckGg+6kE4gMREAoux4PxoKMDKW7J9PqYlUxxmKlPKcjB2scRBdHKut/XrjdudX3+inRak10Tnm+UCmEfLwTHEQzzIiAg2iGYZh+ojghl2lACjgBkxUYlb96LgdSB2JmtacjgT+8vh3/89R6ZaLsKNHOa+WYOV/rpwVTa/HRk6YDAF7a0Oz5mnTO2uaiWlwJd27vdO6gVhM9UMZiSZ+WT6SmZQ1TTPxr4k43zMHuFd0tGT31DkD6eHoIF43oXE1mc1pNdGFjMZ1S3P5VJZrTuYtBMYXUFkB1x/yQlqZCQbQ+fqrp3IZiZlewT3TWO+BmYzGGKV84iGYYhuknI8WdW0zuNXWkXAN/cs4FDixoo9+dyhrokSa4VBMtq88B6d8RryJpidPmjgcAvLOz3fN5UnDldO5oyLsmmpTduKZER10tropN5/aviS7G9VcOBMi5OBoOCuOzgXDoNgwT//XPNfj7st2u5+QFlIEI2IeyXVAi453xkTNMYWanbFvWP1AuZTyRgzVWoosjnafu2M+dG7AW28ZUWpkZ+YzFEmnVWKxgOrfB6dwMM9LgIJphGKafqO7c5ZzOTXWhOWWyVq4TtC4lkOp/UCD/vvZeJzDPaTXRgKo25VOiAeDEWWMAWL1mvbZPGItJ5mSiJrpEJZoMzvrX4srwfc5PiZZTUimgDYeCqIxaavRAOHRvaOrG/W/txM+e3eh6Tl5AGYiAMJvz3x8DjbxYpQdYXunZlLHgRSlGhYoSPQLbkA0H+fqpu9O5neu4tiIiFGq3sZiz73V3bst1u7j0/YQ0pgxFGQLDMP2Dg2iGYZh+ohiLlamqaxim2M7eVE5RxPqjzJmmic/ftxTXPLBs0CZ3cu/WA0lPldXW/X1OH17RJ1pTmIiIhzO3zLT6CkypiyNnmFi1u9P1vGeLK3Ln9lW9vGuigwHVnbtQIJjOozbnS/Um5EUBSq2OhIKosIP8gVCH6XNl1dl5bqCV6AM730vBUaJzLndtr/Eh38JbKaUWXBNdOmktwJVxGYtJC2y18Yi4rvXzSd73Xue23wKUaZrKuaCf9+WaMcQwox0OohmGYfpJOlf+QbQcdPVoE+x0rnSVoyuRxYsbmvHcun2DVh87UIGUqkQ7QbToE62YiUlKtIczt84Jthq9fJc7pZvOBaUmOuhnLObtzj1vcg0A4NCJ1cpnFQoEVXdu7bvkANtXiZbSuW1VOBIMiLpouWY5Hx19aXzxgWV4dm2T67k+qUZfT3NWF1AGoiZ66NK5k0o6t65Eu6+zvC2ujOK3Vf6N+jXOeJPvvKC/SXGW293VVUSk0gzNWExWkD3uB34p3fq5ob+uXDOGGGa0w0E0wzBMP1GV6PJMuZNdmPUAyDThWauZj9QQ9DBVa6IHJp17vxREU3wiK9EBxVgsvxINACfOtILoZTv2u57zdOe2e0b79YmOa+nc150zF0v+4304f8EkAMW7c+frE62kc/sp0R7p3JFwELW2Q3dnorgg+rXNrXh+3T7c+/r2vN+hq3OD5c4NDEE6NwXR2eLSufMtvKVLMRaTftdQ9PI+GChOibbN/WQluiIsskry9YmWqYxa17afEq0vmOivK+dWhAwzmuEgmmEYpp/IAU25KtGJjDsokik1VXAoHMmVQOpAlGgpiGyX0rmp/3FYrokOyvXLhW+NJ80mJbrD1TuZ9lGkQIsrOdVeV6IDgQAm1sbF36SKFUznzpOyLX+3b4urtNtYLBwMoL7EIJrqOr3OOTnQ69MCD0WJHmnGYlQTnc65Fkvou1/f3IrL7ngdqxs68yvRpRiLSce5h925iyJvTXSGskPcxmK1cUmJ1ozh+jz2fTTs+An4ZdW4PoeV6EElkzPw3X+8iydWNQ73pjAjHA6iRyFsUsGMVMrt3B0JNdFysNTlEQCVGliki0gJPlDkQCpxQEq0VBMtKdFkqiWrv2o6d2El+ogptYhHguhMZLC9rVd5zrMm2iOIlvelbiymEw0VVxOdt090HpWa8KrrjIaDold0R19xQTR9t1ebKnlhRw+UuwfIVI6Qg9nBbhfkKNFuEyk67o+uaMDqPZ14fv2+vGOGXlOdD0WJ5nTuoshvLKYubMmmg3UVEae0wtUn2r3vY+GgUKL9gmj9c3QlOjUAZn6Mw4pdHXho6W786sXNw70pzAiHg+hRxp/f3omF//MiNjR1DfemMExJrG7oxAk/fB4PLt453JsiUFtclVeAT8guzN32JC8WDgojrVKDaDn4GqygpHvAjMW807m96pADJbhzA1ZQPMlWiuV6a8AxhaIUbsC7xZW8L3UlWqfYFldFu3P7trhy97aNhJwg2mshxgtavPFKcZW/Q39+oI49MZRKdFIyFtPTsem4t3SnxGvylYCUkuUhH+eB6K09Gsifzm2PD9QnWnPn9jUW89j3sbBjyueX/aEvpug10WwsNrDQcRrsnvfDTUdfGm09qeHejIMaDqJHGS9taEZLdwpLtrvr+BimnHlzayva+zJ4dWPLcG+KIDUSlGgl1dNWFkNBoaaUmiqYHoIa066E1G/1AFSYtF8Q7dFWqhR3biIepsmxt+oYLaBE02Q9FAwUTCEvxljMMEy1hZleW6mkc/so0R6BQDgYEEF0senctI+91Dk5u0CfyA68Ej00NdGZnNMbOl+Lq+YuJ4j2Co6qbNWylHRu+ZwYiIWH0UA+Y7F8faLzGYt5LRjFwiFUFFCi9QVY/bwfrIyf0Qrtz4M5Td4wTFzyq9dx/m2vDXoGzmiGg+hRBq2E+rlEMky50mFP3pNldOMbEcZi0rVO2fDhkBO0FaNyLN/VjusefAcN7X15lc6BonuAHJoVd+6+tOvxeMS5BcoT5WLSueX36wpT2stYzKNPtF97Ky+KMRbzM0gSzxfR4sprf0fDQdRXlhZE0+JNMuNObZaDCT1oH/Ca6Kyczj14Y4d8DhimhzkUBdHdSQDWPdhr4a0mbu3nfONJQ3ufUtqiKNGDlM6t1/2PdOQFJndNtGYsptREhxENe/d8L5zO7X1sXOncrEQPKjT2HczBZTKbw56OBPb3ptHaky78BqZfcBA9gPxt6W5c88Cysg5Q6WZ7IOoOwwwHVIvplxI3HMgtg0aCEk1EQkExQSxmu+99fTueWt2Ep1bvHRp37gFrceVdE+2kc/vURBeRzg04Sra+j0VNtNziymN/J4WBUeHvK0aJ1hUrVxAtBWa+SrSHkhkOOu7cRddEy72LtWMo/62bMQ2mO/dgBiN+jsoUQKWzBtJZA+19zmKg17GstluJZXxaXD2+Yg/O/OnL+P1r28Rj+drYDQQ3PrIKZ/70JWWBY6STznNe6OUeoYB3OrfcyztnmOKaGmMvOAHWdVtyOrerJro87y0jFbpeDmYlWh7fiy3BYUqHg+gB5NbnN+G5dfuwxKPlSbkglOgyCkQYphg6E1YQVE43Pnlyky1TpcYrWIqEgkIlLSYQ3ttpqWd96VxRauaBIivRB9TiSnHnzrgeV2uinfcVnc4d8U7npn0kp2h7OfrqaaP5oNfkO/9TOd3VVw/snL+9JvTprOEZaEZCpadzywsLejAsp3O7a6Jl5+4DP79UI7zBu+8l097HhYLoTM5Aq1SfKCvRlMINQPTjzmRNmKbpOk6bm7sBAKsaOsRj8nEejDrPVza2oLEziU1N3QP+2YNJc3cSn79vKV7asM/1nFIT7ZfObV/fYa0mOioWxJxrWc6oGFcdE/+OhYMF07n1INrtzm393dSZxC1Prcfu/X2en8MUBx3fdNYoO7PSgaKQoehIxzRNkdUznHAQPUC09aTQ1GUd0GInGcOBMD4pY7WcYbwgBaycnErz1dWVC17BUiQUKErZJJrsIDqZMQqmc7d0p7DxACfbck30gQQF8vHp6EsjZ5hWW6mcO4hW3bmLVKLD3uncTk20u22WV010LFJEOnfEOV6GYeLdhg53GrlPWqrX817Hzm/BQjYW87q/GYaJfV3qhEZRorVA2S+d2zRNNZV/AGqi5XrTwVSi+zJ+PYLtoDhnoLnbCaJTWcd8rL4yKh6ndO6sYeD6h1Zi4Y9fUMyBaL/SNQnoNdH922cPLdmFvy7Z5fkcnWfdI8z5+5UNLXhxQzPue9NtRllUEO2Zzh1RSmEoCKP9Hg4GUGsvhFifESrozu3XO17fvoeX7sZdr23D/W/u8PwcpjjkOUQ5LcoPJEoQ7dFmcKTzp7d3YuGPX8SjyxuGdTs4iB4g1u91Jo3dZZzyxOnczEilHNO5ZWUv65N+OZCs39uFtY2dymOvbGzGp/+w2Fed8FWiiwyic1KAlMrm8raGAYDP3rcEF/3yNWWSXyoDVhMt/XbDtFbk/dpKqX2iS1WifdK5C9VEU6utIpRoUrJT2Rz+sbwBH/j1G7j0jtexrtHptKBPCN3p3O5Uchm/GuRIKCgCPS9V40dPrscp//OiYlgpexfoKcZyMCH/O5kxlIBiIFTVjMf+Hgz8yricdG4TzdJCQyKdE+nAtEABSEp0zsSyHfvRlcxi074e8Twp/Pu65IBcTp0v/XpJZnL43uNrcNOjqxW13PlO6/MHq956sKBFIa9zNl+/+5RWZuHX4gpwAmDaN1WxsFCeAWvxi9K5/c6RQiU1tK0ddjZWRxkLNSOBfG0ADxYO9nRuirnebegs8MrBZdQF0b95ZQv++Mb2Af/cdXudAymrKOUGXViJEVRjs7qhE29saR3uzWCGmY6+MkznHkJjsWQmhyt/9xau/N1bSgD08NLdeH1LK55d2+T5Pq8FMzmIThWYwLX1pESqeiqbX4k2TROb9vXAMIE9Hf1LOczmDLVmVlYtU1m8ubUVuSJT5/V05rbetBJIxX3SuYtVouM+DufCWEyuifZUoilttHglOpU1sK3V6ku9pbkHH7zzDWxtsYIst6Lmr1R7BZR+QVJYSufuTmVdRmHUMnHjPmcxWVZ79DrrPp90bn0BeiCCtny1rwOJ38K0nM4tK9HJrJPOXS/V0NbGHeW6z/5MeX/RcdvXlRRmXwfqzt2XzolrSl6UAawsA/r8nkFUtNp6UnhXSlEfCCj496oTLyWdOxSS07nDimEgnVO036tjYRE0A5TObR1Tv3OkcBDttE4DBsa1fjSTz1TuYEEupzmYvAwIuhZkw9DhYFQF0R19afzvMxvxoyfXD7gJkHzjKecTlgaPxAgahD973xJcde8SdBZpaMMcnAh37rJSoqUgepBvxrv296E7lUVvOid6zQJOkNni0w/SL53byxzHi72SopzM5JSgWw/SelJZZ8Ldz3rWfKrlz57diE/evRj/erexqM/Sg9v2vrTSVko2EFONxUpTovUSA9En2rPFlWzuVbyxWCxkfZdpqn2p0zkDb9qLjH7BgNguuUe1Rz27X9AaCQWVFFU9PZCOkfz+/ijRfp97IAyVEu03LvmlcyfSTosrVYm207lzhrNfZbXe3q9Zw0SbfR4oQXQ6W3KdpxzcrdurBtGDbVpGfPUvK/CBX7+BbS09hV9cJCIN3WNOJi+oyOeIaZqudG7FWExK5waca91RokNKhktx6dz5z0s6vvT+g72/8WCjKtEH575Ua6JHzny/WOj3yYahw8GoCqLpRMoZ5oCnM8s3nnJOnRhp6dzZnIHWnjSyhon9w7ziNNTs3t+H99/+Gv7xzvDWfJQDqWxOTBz8XIWHAyWIHuR07m0tveLfcsBM13Jrt/f14VVDrhiLFZjAyUF0KmvkXcVvk1pp9PVzwq3f8GXVhWqtG9oTRX2Wvn37e9O+baXUPtFFKtHU4sonbdornZvqsoESjcUktVpeRAGca8KVzp2nJtrrOvJTMaOhIMKhIGpiVkCo10VTmqp8zFUlOk9NtIcSTfu1PwGhTkapiR68+17Cw1gsFAwoLvjycUtmDBGAyUp0lR10y/4DfvtVLrMgTI/2WoW3XQqiNSVanowPZhC9yy5HKfbaLga6Hro9FHS/jBql3IOCaHtwiIWDiEdCCAUD4jEKgHvkdG4piJbduf3EC78sJordU3oQzb3AD4jRkM4tj/3lLOz1lwQr0UNPd8o5kQbSWCuZyWGrNMH1GrDLgZxkqFPObbhkksqkb2Rs80DxxpZWbGjqxuMr9wz3pgw78qQ9mc2VjaPmUKZz72hzxphW2aDIvi7aeq3Hnl+3TyiTgHdf7VJqops6nUltKqO6N+sTENoGoP8Tbv2GLwdcZN5Y7GfrKkN7b9pX/VWNxQamJpr6yQJquytacKHtixeRzi2nkFLdKk3k6fsLpXPLx8ur9ZnffiVl3mlzpU5cyFTLSzG1Hi9NiZ5cGwfQv4BQxjBMJfV/MFM3vbYzHJT7sZto6VazOijtv67CqjePR5zrUp6v+O1X8h0opl9xPuTzd72mROdzWR9IaP8N5H3eSX/OuUoQ/Fr1ydcIHQsaG2qljAFaFKPX0zleFQ0r13MsHERlzBon/I6LnxJdbS+o0HfQ7xkIw73hoDeVxeW/fh23PrdxWLdDPscO1vZhB7s7t0jn7h3e3zaqgmh5lX0gldiNTd3KjbpcV33km8ZIqYmWB4KDMYjO5gys2t3heRNNSBOA0Y6cym+agx+wFos8+ZIVxsFgu7RQ1yopvkKJ7klhf28a1/75HXzxgWViTPJM5w47faILBRZ7u2QlOpe3llBRovt53tL4Sb1W+9I5GIbV7mevHdAXq3LT5JOCzf19aV/1tz99ov2C6HwtrgDn/C1FiQ4GA2LiTormxJqY8jm60up2+c0/ecznzg3A16FbKNFpb8VUDx6UFldptxI9sSYuVLj+1PgSenbIYKpOXnOKqLRYlclqNdEZd010PBISx1hxqPdTou2gXD+WpSqV8rZvbenR7rtDk85NAbrXol9/ybftfuqzvC/pmqVFpDoliFY9Dqh8pSoWctVET6uvAADs3u+tsvsF0RR860r0SBFBdJbvaseqhk78Y/nwCgMHks69pbkbi7e1DfQmDTjyNd0fYa/c59t0bXM69xDSI63sDmQQTancJF6U66qPfHMo9wuEkG8WIyUFvRT+9PZOXH7nG/jUHxa71B0aJEaaI+pgoLuReqlow4GuAA1mSvd2WYnuUdNCASuA3b2/DznDRG86J1RhrwlXJCi1uCqQzi27bKcyRt4JSJt0Q+uvWkI3/Em2GglY135nIiN+a7H11jTmTbKDzfZepyZaN/OSvcSKded2Wlzptcf+NdGAU0fp1a86HzSpp0WUCfbv0pVoPQ2UUNy5pWP38NJduOreJcLxWf/9ES2I0INoCnTlgFdxjJbGMNM0hWEWoAZ8dOxrK8KojFAdaf/HP32xbTCVaK/strDsPZAz0NwlG4s56dr19n6tiITE67uShZXofQOkRMtjhGFCaVGnpnMPzribM0yX2joQpPIEEn6LgWJ8CAcRsC8koUQrravU8bNPSueOy0F0JIQ546sBWGO4lymi3DtepipGSrS6oD5SlWg6/4fbGE2+b5W6sPa5+5bhE3e/XRY9ivORPIB07l++sBnH/OA5rO6n83U2Z+Ddho5BFRVonEhkcsMaz4yyINo7hexAoRvOUdPqAJRvTzZ50jRSVjIP9rQbqnNdsn0/PvSbNxUDFD8l+p2d7Xh7BKyEDiQdmqlcuSwC6fXG2SIUcsMw8fy6fUq7m2LY3uodRNN50taTFkot4ExYfNO5Q0Uq0Z3+SrR+Tcr9bPu7+EOLkBNrHTWyL50TqdzW38V9Nk1wJ9dZAbnszq23lepXn2jfdG63O3coGBALrRRki9TyItK55e+j36Ur0fT/app8+2yXvs13L9qOVze14MnVlmHbuKqY8j4K7EgxlReKDcljpNe3JlpVNuVqDC8lujYeQaX9Gw5IifYwWktnDd8JsGmaaOzoX02uvwu+k/YrX7eyN8vcidUIBIAZYyuF6invYz+Fn64J/Tos9drTt132eFGC6EHKskso9/kBTOeW5jxyEG2apura7pHOHVOuXev/nkp0Vm1xVa0F0dFQENPGVCAaCiKdNTzPL7/FV7qO09oCw3DXRG/e140v3L9M1M//ZfEu/OrFzQXfR5kYw51dJ18vpQbRTZ1JGCaUBbFyRO0TXdp1u3h7G9JZA+/u6ejXd//i+U34wK/fwBNFGoD2B/n3DWdd9OgKoqVBdCBromlVfu4Ea7VxJCjRI0XVlbezXAKngUQe3La19uKlDc3i75QIop3zNmeYuPreJfjMvUuGfTV3KNFV+nJZUHEp0UW4/r+xtRVffGAZ/vPxNUV/T3cyo5gSqUp0TmzLxibH2ZYCBb907kiRxmJNiju32uJKf6+cZt7f4EeokXFVjZSDeb9+xjqkOEyps9IpFWMxXYmWguii+0T7tLgSNdFaWri+z0tJ57Zep37ehBprcYCOMX1ere3wLG9XTqsPTmUN4S1A5xYtCI+viSrfo6ezyotaSs2sNCb5uXPr45Yc8FEKc008jKroQCjRbmO1mx5djTN+8pLS05r49UtbcPpPXsIza/aW/F1+QTQd8+bupGgVpzNnfBWeuf4s/P7fTpSUaLkNmLdy1mRP5Ol8ovOj1CBFHyPWK0G0nFEwOPdg+RgP5NxE3nZ5gTqTM5WFHC8Hd7WHvLVf5ZpoPZOn20+JDgcRCgYwa1wlAIj2dDJ+HRKqtJpo2k8DYbhXiMdX7MGFt73m6Zb+xzd34IX1+/DfT6zF9tZefO/x1bj1+U3YvT9/W0O6J6WyRtFtCgcDJZuqhPMtm3M8QcrV+4hQWlyV6M5NY3J/xDbTNPF/K63geYOU0TLQyOPEcKZ0D0oQvXXrVtx33324++67sXLlysH4in4h36wHcqCmE41UgXK9uBQleoQEpMkRGPiXgr7gIk+chIlISp2kdttthNpHUcsvXYkuh7YUhmG60kWLqdUmJWJLc/GtXHa2qZMTOViVFxRW73HSryg11zOIltO586zEm6appnNnc2oqnLaYId/M+q1EkxpZoaqR8nYU+9m0fZT23JPM5jEWc/5daourYmqiASeodmqiS1Oio64g2k7npppo+/81cXXyLT9HmKYVAKSyObEQTNulK9HRPDXRfiZhfu7ceoAnL4hQoFMTj4jWUAdSh6sv8qSyOazZ04lMzvRUztbb/a6X7Wgv+bs8yyakdO49tuv02KoodN+6SDiIeZNrUF8ZlWqiCyvRlM5Nj42tshY/+pvOTetIskO3fG53D1JpkbzvBrL7grLt0r1VPy/80rmJKXYmyyHjq8RjES2Th3w76isiak20fW3PmWC91yso9btviHRue5/QfjLMwXeV/r9Vjdi4rxuvSyaVBC2yLNm+Hzc9+q5YkCikCDYrrRmHb56sp3M/s6YJH/j160q2lxfyHHQw/QEGggNJ5+45gCB6a0sP9thzHL3sZyCRf99wmosNeBD92c9+FpdccgleeeUVvP3223jPe96Da6+9dqC/pl90D1YQbX/WRLuGL5HJDWrtVX+RT7r0MK8EFouqRJffPj1QaJChSa9XOncikxPHSh7U+ttCaCTSkfCuFx9OvBTcYpRoKivZ25ksWk0g9YIm2KREy477ALBaSr9qzhdEF+nOvb837XLj9ppwErI7d39T9miyWxMPi/6qiYymRJdoLDam0gouetO54ozFikznFkG0b4srrbZYanckb1+/lehq63elfJVo5xh4HedkxlDM4Ihx1aoSTQFDrUcQLY9JxfSJ1s8LeRyTa6IplfVAUj/18opU1hATyte3tOLdhg7lefr+3e35FTUvvK6zsKRE08RyYk1MCbIANWOBzj1ZtfZ15+5Sa6LpPC81QKF7zRR7DqMboIntGKR7Tp8SRFuLOpf/+nX87tWtB/S56gKAc866XOw9Og7I19pHT5yOv197Gq49e654TDcWowByTGVUc+e2jvUhVBftEaj5ZQNVx9TyDXk+NNgp0XSs9e8xDFOpmX97m5PR4SUg/fntnfjMvUusbCopBfpASgpbulO45FeL8Ke3d/br/fpc+LEVDXi3oVPJBPRCDaLLW8SQF9u6EpmSMhdIuOlPnPTyhhbx78EMohUl+mBK5/7Yxz6GdevW4b777sM999yDF154AXfddRdeeumlgf6qklGU6AEcgOhgkioAqMFQuaCnrYwEZTeh3VwPNkh5nj7GSvXqVpRoZ6CnSZF8Qyv3ldCBpByVaKUVij2h6kxk8IX7l+HR5f69vUWqVCbne5Np703ju/94F+/stCYoO+yJF/kuUIsr/ZrYJ01S9ol0brVOFgAi4eKUaDlwpe/zc7UFVHfufOdnXzrrm4JFClytpEb2pnJCdQOKN9ah3zamipy+s55KE9DPdG57suyuPfZWoulzabtKNhaTXlcdC4v946dEZ3JST2rJudsxHsu5ek4DwPhqVYkmZZ5qojsKKNHZnLpI2+uRzk37ri+TE9vYJRZQIsKZ+EACN690blnh/e0rapBG56yfi3I+6LfLx8jyHrD2HfU/nlATU9J96XVe/xaf7VNr3pnIoC+ddTIIqkmJLm18pLnAWPv9yuJ1dvDvOXLQn8wYWGG7OP91yS7P17+ysRnLdxXOFlDcuaV7q37/8K6Jdo5ROBTEybPHqrXO2oIYXRN1lRFXn2hAVqLdQbSfl0aV5G2QyRmKYj3YhqN+niy72/vQl84h4DFEdiczSGZy+NmzG7ChqQvprIGfPr0Br21qwcsbWxQvgmJLcrx4bEUD1jZ24fuPr+nXvFBXop3+2/n3aTItLwwO/xwkH/J+MUxnf/91yS6c8ZOXXP3gZeQ5Sqm8sslZiBis0lbDMJVrtr03jVW7O4bFK2jAg+j3v//9CEqr+AsXLkQ0GsXWrQe2ojgQKKvkg9CLsDoWEhPVcjQX09USv4WEx1fswZV3veU5uRpqUiMwBb0UaJChFhg9HuncgHdrC2r9825Dx0G5wCDjcucuByVaup4oIHh9cyteWL8Pdy/a7vs+eRzSg1TimbVNeGjpbvzmZWvcJPVi4eyxAKzxJZXN5b0myLiMzg0KgABroh4roiaaUqgpjdelRGvHoVVpceU/Bn7oN2/i7P992XNSrtRES3WxcqutYo11aPxwFDpnEUAPZGTxOVSqEl2EsRjgqIzCWMwnoPdDntjXxsMiVVR3566RXITp+MrbRKZqqYxqdkWM15XoYL50bucY0vHU7zW9HqaeFKibptP7nbwPrJroA1ei9XO7L51TJu/PrG1SzPB6DkCJpmtxTKXaS5iCYvod08dUKOdeKBgQLdjoPTp9Pko0oAb89ZRxUWqf6DSlg1vHxC+9evCCaDVop79bPeYg7b1pfP7+ZfjcfUsLqmtKXaiczu1q/eaukS1UYhHVFsRooddSotWaaACYawfRXkq0b5/omFOWoY/1gz0fEkq0dszX77VU6AVTanHy7DEAIBYNuhJZPLV6L+58eSu+9pcVeGNrq8gA3dHaO2Dp3PL+fXZtU8nv1ztM0PnWU2Cb+jLSWFeGc3wZfY7Ulchgb2cCNz26Gns6Er4L/aZpikXqUsXGnlRW8ZrorxK9e38fbnr0Xd+SN72UYV9XEp++ZzE+/YfFBevyB5pBNxb7v//7P6TTaSxcuND3NalUCl1dXcp/g8GBpHM/tXovrnlgmedJQROYeCQkWiCUoxKtT/T8Aq8HF+/Eku378fqWFs/nhxL5Ih5I107i3te34/RbXhRK31BDqYXT6q00Oq90bkBeGVQnrE+vacIHfv0GfvHcxqHY3GGjswzduWUzHwqWKO083yRWnog2+QTRNCEjNZkmXsdMrxeT7LaedN79QBOWpBZIAmo6d74UdEoXJVOcVNZQXW2lfxuGqdTE+a3Up7I5bGjqRncqi6ZOt+Kn1ESLIDqnvLZYJVpP5+5LZX3V3/4o0V4trmQDL91YzNnntjqc8Q7o/ZA/r7Yi4gTDwp07J54j6Dtosh8NBcWiTzJTWIkOBQMIBlVjsS6fdO6+tBUM62O1Vzr3uKqoULNe3tCCs3/2CpbttNTF+oqoOPYH0s5HrzWVA+aZYythmsAaSZGh7exOZl1jTiGSGe/rLKKdZ9PHVCrpvu52Yh5KtL0PZIWf6p93Sq3vxtoBfKn7TCjRlU7GBgWo8hiTzhqDkgWkBNFpJ6jpTedcwVZrTwo5w0RHX6ZgjXZKMRbzD6IzBdK5vdCNxZx07ogWRKvp3Hs6Eq7gJONT/lEluXPr7xl0JZrUWe1a3mD7BsyfXIvfffpEPPC5hTh/wSQA1thN48nm5h789OkN4n1r9nQqx/lAskHl9z68dHfJ79fduR0lOv82yd9b7uncehvQrmRGOR5hj3EGsMYCSiIqNU56a2sbMjlTjOv9VaL/tmw3/rpkNx54a4fvNsq8s7Md3ckssobZr0WVA2FQg+jt27fjmmuuwRe/+EUce+yxvq+75ZZbUFdXJ/6bMWPGoGxPPnOTQvz2la14bt0+vLbJHVgm5CBaTDLKb5VKX73xu0DoZlMOBmnyNg7Gyutz65rQ2Jn0dGodbFLZnJh8TxtjKdHyPk8p6dzu1Kq+dBbbW62VujV7BmfhqVzQa6IH21SlGChQiEpO17TIlm+CIz/X6BFEyq+humZqXTVjbIUwfWrtSeUNovd1qenc9T4KWb59SSrlDLvcIGeYWhsjA5v3deNjd72Fp9bsVVJ4/ZQGVa12b3+XMJdy1MjedE5R7ZMZA9ki6s/pt9Fv78s46n0+d+6w7vzkg1MT7fwOeUKuB1A0SXZqoktUoqVtro07k/WUpkRXRENC3aTvEEF0OCgm9qms4RlEj5ECXHliX19hBW7yYrKs7FK/X5cSnZbvvY6LMbmv/+7Vrdi1vw/xSBCXHzcVJ80eIwKIA2nnoy8Q0blXGQ3h2Bn1AIC1jY4Zn6wulapG0wRbvs7CwYArKNaVaP15L1M72sfyfp051romd9nKSyAA1PVTiaZrYpy9eGKYTnCoK1qD4dCd0JTohHS+tHarY78cOO/3qOeXUY3FnHPW1T+9QDq3F7KxmGGY4pqoq4xoNdHWv8dWRcW5oavRtK/1Wnm5T7TLS6DAHHZLczf+umRXv3v1UvCsK9EbbCX6iCk1GFcdw1mHT5A8XbJK1pjszrx0hzrHOpAME/n8fnNrW8nqo26OKbue50MVNoZ/IT8f+tzg9c2teHyl03LKT+jL519RiM3NTpYC0H8lmkq9/DL19N+2YleH+PfTa/ofRGdyBj5211v4xkMrin7PoAXRDQ0NOO+883DqqafizjvvzPvam266CZ2dneK/3bvdK0tvbGnF4yv2HNA2yTfIRCaHPR0J3PTou9i8r7ANO5mCeLkPJtLOAEiGLqW64Q0F+onntxIor8YPN4NtLCbSeIahvpgWWgIBYLLdgkeeICitYzxMPnpTOXGM9voEYwcLpMzW2JOKclOiaeLbmSh8M5YVWj8lms7Htt400lKgM6k2LuoeLSXafU2QQtLak0bOMEWqpt7jtJiaaAqiaZEHUNMiU9kcnlrdhMXb9+N/nlyvvNdvIi+naHpNRGjSPL46JtTI1u6UazzSFRIdL9XONJ1zSZ8kyzV+fqv0OnJaNCGr834qo8tYrEglWg62ays80rnpnAwFxWvpO3yVaPsYy7+/OhYWE/qIlNru1eJKXyzpS+dcSrSXH0llNCTc18mo6I5PnIBffvx4xCMhcewPZGx21UTnHOO1I6daE7219gKkYZhKOmepE3Oh5lY5SnRUylIhpo+pVN2btef17AXACWTk/UqO0ZRxEgsHhRFVqQsPNIeRt52Okz7WDoYCqhqLGcrfLVq5gTyPk40MvfBz53YF0YoSXdzClnMtm+hKZoRDdX1FFBVRd0004Lh760E01USTxwFBxzPloUQXCnBu/uda3PTo6n7XidI5pH+PrEQTQjxKZlz+JbQeqXcTOZB0bj3LqdR+xMmMerxF5kOBc1s+BuUwP85HQpsbPPKOmr7tF+DK9+RS51k0n6FzoyvZv1ZstG+bu7znR7qgJl+/7+xs931fIdY1dmHx9v3456rGord7UILoPXv24L3vfS+OPPJI/P3vf0ckEsn7+lgshtraWuU/GdM0cd2Dy/GNh1f6TjqLQb4ZJ9M5PLKsAX9dsht/fHNH3vcl0jmxMqIPEIBzolVEQmJFrhx7RRdrLNZbRkG0PNgVc0E/s2Yvtnq0kPDDCU6HIYi2F1qqY2ExOZX3uZ4mqT/Wm8qKoLsUp+eRCF13k+qoL+7wK9FpSbHQleh8SqmiRHd4j2d0HuQME5ubu2GY1mRkfHVMpNq29KQ8r+EjptQiELDe29abKpjOnS+IJqMwmrBb26YqOpTW1miPzRQE+K3Uy8qnXJ4AWIEMBe4TamLCXIrcyauiIaESF5rwyDdWeQGB6m71SXKhulQvRDBq1/QCas/XSFBXotV0br92W35ElZpodzp3WgrKnSCaAmwnc8Kp5XZqoo+QJsWV0ZB4jaym036UO1B4pZnS9Smnr9N29Iog2ukFTceK6kYBR4U7sD7R1n7WTZBqK8I4aqpl0kdKdF8mp/QO3tXPIFq+zsLBgKidJWYUVKI9gmjbfC0pZROQqknXUzQU7HdbMDoPa+Jhce73CfVbPb6DMS9QjcVU1VWv2Zd/m5ezvIyfQ3z+mujiFrbkchi6P1VFQ4rnAKBe24dOsFK65VaE9BkAxHhH0PFMZw3XWFnouqDzYl934Tnzyxub8cpGxxBK7oesl5XttK+LI6bUiMdlJVqf+1501BTP7zwQJZp+O52r1D6uGEzThG4sJlLXC2zTcLpz797fh2/9bZVSvpEPfb5MWQHH2Rk4fr5NfgbMpmn57+Q772g+Q+dGzjD7tQhKc+NmH1+mQrFAf1O6qXWbaRY/xxzwILqxsRHnnHMOjjjiCDzyyCOIRqOF31SA3rTjYruvnysMgDqIJjI5oSoXSgmSUy51Jdo0TXFhVURDyopcuVFsOjdNfsuh5kO+WAqlc6/Z04lr/7wcN/xtVdGf7yjRQ69syi7EdBOS97miRHu4c/emHSU6lTWGteH8YJLJGeLanWy3YJFvgrc8tR7/+8wGz/eWSltPCv92z+KiBuGUNKGNakE04K+Uyip1U5f3zV8+D0gpm1ATQygYEEG0Xzr39DEV4jVNnUkRSOjp3NEijMVokjqxJi5eL5eqpLOG69qZPtZSreXWbDKysqRPWjoSGdHaZ1xVTKRzb7UNRqbUV4jgqlA6nawOy8rmfp8guj8trmiibUrpr7S/w1ItMRHVlGiaJOhGXr7fpyjREUVRBqRzMuSkbCdFTbRjLCYH2DTZPmXOWPHZshItp7bXxMMiIKVz3d332XFAHycpm6Jtin3+V0ZDivIWDgYww05RBiAC7ANx8aUFjSpN4ZOV6B1tfehKZlxGQaWmc1PGh6smWgqKY+Ggy53bFUR7lBKQ+VpKWnShuQYdv5i0iK8bMRbCcUwPieNO91vdPPBAatT9kCfriYxqmOgKohUl2v+el9Ec4uXFv/x9oousiZbSuWleSMZushItB+NnHT4BgLXYLy960/ZURtUgWjEWS2vHocD4R9dloUWPzr4MrnlgGb70p3fEddunBc7Epn3dME3rXjRO8k2oiZMIkBGlV58/8xBcsGASbnz/PHHf9to+mWSR7WFpPkCGrIX6U8tkDRPybclSorPK5/qh1kQPrfDy02c24B/LG4TZaCForIhrZUunzx0HwF/ok88X+Rgt29mOD/z6DZz781d94xuaz8weV+U5JyoW2raW7pRnOYJfEP2++RMBWIaR/WHdXqcsstjF2wEPoi+44AI0NTXhpJNOwq233oqf/OQn+MlPfoLXX3+9358pp/8dSD8wZYUl40zM9XpLncYOZ6KrK9GZnGMiEw/LxmLDr+LquIzFPAaxVDYnBvRycB/0cwn1gtQqL7MiP+icGGyTDi9oJbCuIiLSlP1aXHkp5r2pLHqkwcxP1RzpyIMwtZGjfdPem8Zdr23Db17ZOiDZBE+tacKiza34f0+sK1hLJqfHUjq3fGPyS6mUb75+NT/yBIlUC5qIjK+xJmqt3U46t6y0TqmNY6K9n3a2OYFAvTa5LyZrhiaw46qjInVYnuCmsobr2pkpBUJex0Qez/V9RAHB2KooouGgmIxSdsmUurgIrgodb5oMh233YwrY2u2Jt640BZV07tKUaMA5JylA1tN4Aau1GL0mmzNEZtW0+krXa72QP7MmHvYIlKW6Z2q/RSq11HYrJinRIog+xAmiK6Nh8dvkIC8YDIiSpU77vqkvbvamHK+HqlhYBCN6SUpFNKS0XZs5rlL5rkpRE33g6dzy9wDWAsSYqiim2hkW6xu7XIvGpba5ov2gu+DLv2namAoEAoG8xmJe5w2g7te4VDomK9GURrlqd0dJxk1CCIg4Cxt+6dyDMS/o1e7zfcXWROcJovXt9jIWc1q99Sed23bnlpRoaqXnp0SfO38iYuEgdrT1CZdrwFl4q4yo56lsLOYum8h/HOj5QnPRtY2ddqaIIe47fR5u+oDTpo3S0gl53kv74szDxuP3nzkJs8ZVuV4PuDNYMjkD59/2Ki751aKC917H6d4aN9t7iw/UdDGpO5kVQXVBYzFFiR464aUvncWL661MgVVab3s/aKyYWOMsYAQDwMJDqMOHXzq3mhVCbLLLXpu6kvjqX1Z4ZtrtteegU+rjYpGvP0E0nbNZzazU2S7vRafPnnEIACh9zEthvRREF7tYOOBB9BVXXIGvfOUr6OvrQ0dHh/gvmez/BF9eiWw/ALWtR0tToJVJrxRtGTWIVr9fVgvj0aBkLDb8Kq5OMUq0PHkvh4UAdcLu3l45NYfqIIq9yZumKbmADkdNNLkQh6WVXMkVVat/BvQU76xyTvuZVI106PqUWx7R4C7XxA3E5I4mpHs6EnjHpw9pMpPD35btFilksYjbWAzwX6lWWlx1eKfhyxNFCqIn2kH0BEmJputjulSzPKW+ApPs18opqfVSoB0OBcXnyb2ldWjsHV8d9TTa8Qqip9ZXiNRoL7VEVaKz2L2/Dxf/chEeeadB9BGl30gKIo1ds8dViYllISUgrSlKVbH8SnRAcecuMr06FHQm4lpdstdnyGZE+7pTyBomIqGAWPQohKJExx0lOmWnk8sqmiudWwqw5dZcZLZ1+KQafGLhTFx+3FSMr3bqOvWgTm9z5TW5lwORau140Zhr1UQ759QcbaItm8r1FzoWVVqaLC0gHTmNUrq7XPe7ko3FPN25VWMxmvRXlKhEA+79SnMNukZj4SAOn1SNafUVSGUNvLWttYRtd3xdKiRHfMAjiO7HokZ3MoM1Wgqz8v3SOZTS0rlbetS5ozzOe7VnI/RFd7Um2vp8Oje93bmLS+dOZw0hxJDxXjwadL0OsILic+ZZavRTq/eKxykgqdCCgipRE+1uZ1go9Zium0JZkWskYz2vxXr5e532g2qJpuwFJAzWpPvNbI8gWp9ztfWksXt/ApubewqKZQeiROtljXKtdkFjMVmJHsJs05c2NIvjsLm5p6gFMopN5HvLnAnVYm7gZ37c63Ps5evutU0t+Kvmip7M5ERmyNS6CtRVWNdWv5Road96pXTTmDS13pn3TKyJYfZ4a3ztSpRei20YprKwVayvRLjwS0rjhz/84UB/pDJQ9jdlNZXNKe0u5PqSQgd5j6Tw6eYIFOgEA9aEyhlMhj8A1dFvhl6DsHyhFGofMRQo6dwe2/udf7yLp1Y34blvniUCoN60lUYaKuCwm84ZInV0OJToTo907pxhIpkxUBENKQs0dFPr01ZC5YnB3o6DM4im639sldN/kyY6ck1cdyqLiQf4XXK97mMr9uDk2WNdr3l8xR5899HVQnGKhoIiFdivf66MHFgmMjl0JbKoq1QnJfINmlZHhRLtkc49oSaGaCiIdM7A1DpZibayM2RV19pmJ3Br6U7BNE0liASsySGNY+OrY57KTCqbc02qx1dZ7Ym6k1nPSYm8j/syOSza3Ip1e7vw8NJd+MTCmeL3AO4awYuOmox37cl4oZucCDjsc4YCF1ItdCU61A937kAggFg4iGTGcKnB+YLoTM4UizBT6ipcad9+RJV07rD4DYap1h3rDtzydsmmY+19aXH8JtbGccuHjhaf75XODXgF0W4lmohHQqiKhdHWm3ZN0K2aaGcKMseuFyXo2B9IhgkZNlXpSrR9nz5yai2eX7cPaxo7cdgk6/uroiH0pnNoaE/AMMyijo1hj9uAo0YC1mJVNOy8f4a92OXVR5jwW8BxK9HWb6KAIxoOIhAI4Jx5E/Dg4l14aUMzzp0/qeC2A848piLqTufWg9H+BNHf+tsqPLduH/75lTOEK7qMaiyWU65tXYmWMwby1UTr8x15Yi76qcfC6E5mVWMxURNdrLGYIcYU9Z5gXZf68b346Cl4du0+PLV6L751weEIBAIiiNcXe+RFRJf3QJ7rIpMzxG8srES71TfdwJSgfV8bV68nuSaaWsPJi7aHjHcybcZXR9Hak3b9Hjndfm9HUmmzp0NjAi0eFxLCZPTOAbIwVtBYTJl/Dd2c8V+rnAWXnGFibWMnTvKYm8jIcwPiyKm1itDndd/3c+fWF2O2aIbMVGobs/0a6g6gU5F8zjZ3p3CEVlYvmzhGw0GkswbmTa4R35nOGWIeXSwN7Qnttw+TEj0YtEgDZSkrTjK6SpWQ6kkPRImW06ACgUBZG4vpN0OvugL5JCoHJVreRt3gBABe3tiCnlTWcuSTJufFDHDyjXo42hXo/XBprtadzCCbM5RFH1pVVpToVFYNon1Sg1PZHF7Z2Dws5mkDATmPT6mrkPryWvtBXlQbiIUQecHuyXf3etZnkUJF40Y0HBRpunINntc5aJqmmKjQ8fbKIJDfS0HQpFrrZkiTC7lPdEUkhKl2r/GZ4yqFykxKdDwcdKlfdHOV0xFlSOUP2ym8em0VYE1G6ffQvXh8TUwoPF6BrryP+1I5MTHbtb9PBNgiiJZughNqYjhlzjjhWFtINdBrG3UF21UTLf1ZrBINuNtciXRuj5RwuSZ6T4d1bOQsgkLENGMx+Teksjk1nZuUaAruPYzFKD0zHgmKNHn9d+n7whVEp/QgWlVM9f2uKNHSd/op0QeSYeKfzm39TeZi6xq7xPccOqkGwYB1buvO0H7IWV562YSnEh31V6L9zj1diabjQIILHe9z7brAlze0uNSYxdvaPI2J5DaddExIHdbvu/0ZZ7fY5Ri6oRbRp9znDeVvXW2W73n5RBU9c60n5ahTdJ1Ux8PK3/L7iu0TnckZogadguhAIIBPLJyJc+ZNwNQ69fp+3xGTEA0Hsa21F1tsr4e0fa+vkNK5Q8GAOE/kXsaEft31pbO45an1WLW7Q3ltoetHCaI9HLnlLAHa9zWuINr63e29aSG+yNcB9cgGgFnjqlzfAajCU6GsOtpO8lBo70sXrTy6lWhpDlHIWKyE/aqzoakL33nkXTyzpqmktmM9qSxetk3fqFRqVYN/VgfhpHM7QfRRU+vEAkg6Z3i2t1TLXp3fS+M9zSN0oZDmn1PrrZKVun5m5WZy6rnu5bSdlDJnxtrn2fzJNaiKhsW8qlRfKrkeGgD6hstYbDBQaqJLqH2Q0YOkRMYQA0Iik8vr9iYH0boSLZuKAY7V/3AGoD/61zpccNurLoVdv6l4KbvyxLRYYzHTNPGnt3bgnZ3e6a8HQr4WV8lMTkm/bZZcKP164MnIv3V40rmd1KhAICAmel3JrGu1tM8jzaonlVV+5x4fJfrhpbtx9R+X4revbB3Q7R8qqNZ7an2FpERTOrdzAxzIdG7Auml4GVTo6kc0HPQ0ovIKIPvSjgMwTSa8Og54/RZKw6KJWmciI8ateCSEn330WPzog0dhwZRacePcZddEV0RDirISsY2nqKWNl4Mr/c6xVVEEgwHfdG7a1m+edzguOmoyLjtmat6Ua0WJTufE+/d1pcQChRNEO5O1S46eotQ2FzQWk1RZ67PU7c+Xzl1sTTTgbnNFgZveIxpQ+0STEj2tvpQgWjUWi4WddPJkxpDaroWkmmg7uJeMxeL251AQPaEm5lIknCBaU6Ir1TZXuoFeXzor9kU8EnLaLmkOuJXRkKIQ63WTThp4/xc4HYXPW4mmNNM9HQkx+R9TGcEUO/Apts2VfJ+qV1rJ6encthIdVq9FGT9n+N60pkRXqNkrdH2ePnc8YuEg9nQksGmf06li9/4+fPzut/GF+5f5bn++dG6vDhLFQueKX4q8YiyW1vpE60F0yv85Gd0vwjSdICmtLa70p0+0bCxG4oqcyv/jK47GfZ9d6MpkqI6FMX9yDQBnf5ABnjxGhYMBJUNN/616EPr06ibc9do23PbCJq0Vk/9cqC+dVbqZiIw3ua97xuk8QMe+2keJlgMrWa2WlejZ9n1Pn3PJ94pCXXgo0KPWi6msUdB4ltADxw4ppkhnDVdbPBnFqTydKykYvv35zXh42W5c++d3cMkdrxcd5L29tQ2prIHZ4yrxkROnAwDeLaIumq7biZKp25FTa1EdkwJNjwBXHm/TWcecj+arM2zjUP29JHZQxlx/a6L1uY9XOrez6BfEGHsOc/ikGsuzo5/fqwfRiSIXC0dGED0ANdH6ZC6ZUVNh862WyEF0VzKjqE00WNGAO9x9onfv78M9b2zHpn09WKY1t6ebCs2VvAYdJZ27yJvl2sYufP+fa/HNh1f2b6PzoN9cZRqkG/Ke9gSapdrOYrZdTVkahiBaKNHWzYZWc3tSWXdvTo8WDL1aTbSfEk3mUqW2bBkOTNPEno6EsqpMg/PU+rjkRmydy7ISMRDpVRTgnTbHcrD8j0dXu2r5WrUgOhYOeqpHXgszdJ4FA07QoB83wzA9V8QpiJaVQHJsjUdCOHn2WHz61FkIBAKiJdVeexU3HglpjsDWIEDBdrNHXbRTD229xi+9kVSY9x0xEb/99IkYUxXNa/6lBtFZZVK8YlcHAKcmWnbMvuzYqQAk1+YCx9ulRGsOzXEtnbs/7tzW5zhtrgDHBdvrnKD2RemcIQLYaSUp0WpNNKWTA9Y9jYJXr3TulKjVDohjSWPoBI/UyYoileiEdox707kCSrSTzq0o0Vo6t1fHAj9yhtV+xd0XmhS+kFLeQxMt+t3dyaxYNKqOhX37+fpBvykWDioLP7oSTcqZXEqgL7b49Sjv0xR+vS6VFosqoiGcZjvwym2LdrT1wjQtA07dNb+YdG5ykC/1XmkYpggyG3xaESktrrJ6iystnbtEJbq+MiJKEiigpOuk2t6HWcMUAVGx7tzC3yBnCnFFVl/zUaMZ0GYNdxAdsVuW0WO77X1Hv0UfW3fYGQbtfRnl3pNvLrR+b7fS1o2OrdrayDkHHCVaq4nWFnRqYmHlPJ4xttJq/xUKYu7EKtd3WJ8tmaQWVKLtEpSamLiX6QKXHy5jMe18zlcmVEpKvc7avc48Yv3eLqza3VHU+5rse/hhk2pwzHQrc+bdAkq07I8hp3MvmFqLQCCQt4uQfn3TOEDjPWXT6OcVzWOm1LvnKaWgb1OLRxCdksSDT586EyfNGoPzjrBKV0QMVuL3rteC6GK9OMo6iKaJtFIT3d90bv3EkIzFAP+WEIZhiv6n1jZZB6ejL41U1lkZdpTo4U3n/uuSXWJQ1A2D9BVlzyBa2k89eRqldycz2GzXRNBJvmt/nyvd/UCR1WddSd8t3ZAtJbq0dG55sCgmnXv3/j5sae6f658XXZoBh3NjzbiCaLphyoN4W09aadXgVxNN31OOJQY69725A2f85CU88k6DeIyU6Cl1biVaSec+wGwC03RW+3/4wSNxyiFj0ZPK4uo/LlEW72QzM8Dq3eulHnmdU3ReVkXDIv1aV2f8fsdkOzCmm0Qi46RC66nWR9mGSXT5xsMhxTGWJoCOuZh7AYYmr+PsyXPcR5khlUlOmfVTovvSWeXmJCvRgHMjm2inrsvq5Akz65XPpv2UyuZw8z/X4OUNTsBgPa4qSoWUaPkQFtsnGoBi0tWZyDgKeL6a6KwpMkf6r0SH7cecYDktUsllYzHduds5F2QlWkfUROtKtE9NNGVI9El9oqkmGnBP0GUluiYWdrX5ovMpX8914q9LduEDv34Ddy/apjyekUze5ONB11BtRVg8vsMOmGviYWFQs6PEnqxyEApY+y7qoUTLr9HT/vVzb4y9X3vTOUXhr6vwDqIBpxesvAhA92nqHy+junNTOreqRNNiWqmLld0px/24wWcht08L2nSDRr/WQvt7/dN4xTkYDrmCVrpOaqQxix4TbcQK1ESrfaLJWCyS7y0C3WyPFnuUlm/2eUDjL2VFUPaQPsmn57uTGSUQzBdEr2tUgzG6Z+mf7Th9u8d6wFrYlAV33eMjFg7hgc+fgvs/t1C4RetKuurv4q9EG4Ypsl+qYmGxcFGswKanc+v05JlH6Fk3xV4LnYmMcPunLIRi67hpcW98dRTHTK8HYF3X+YJTeaGAlP/Z4yrFvnI6LPgv9BN07VFwS2OYHuzSMaPyhX4H0do2NXtkydE2VURC+NQps/DIl08XinR/v5ccven60vuy+1HWQTTtBHklsr9KNJ0YdIPoSmaUE83vhG7rTSOdNRAIODe+LS09OO2Wl3DVvUuUmkTAWaEbDmOxdNbA35Y5jnn6xJh+Lw30Xins8gWUNUzPmgkA+NpfV+D8217D+r1dysWkp0QcKEpNtJbOLd+Q9UGlmHRuXdXNh2ma+NBv38QHfv3GgKnWdI7QgCaUl6SHEu1Rq6SnuTR1JT0nm7RfytHsTofqs+Q6LcoEmVofl1Q3DyX6AH9fdyorzvdp9ZW4+6qTMH1MBVp70nh7W5t4na5+REM+SrTHeULHsSoWxoIpVqD7zg61DMLvxjzJnnzIqXR0DlRoquqk2rgSnMUjQc86TKFEd6fQncxgnbTf24pUogk5ZZYmg/pESTcJ6kurxmQ02SaF8NCJ1fjrF0/FohvfK9KN6Xvos1/e0IIH3tqJnz27UflsYRBE6dwxPYjOo0SXUBNNquLaxi6c9KPnRUaOVzp31CuduwQlOhp2B4Jyr2jvmmhSyKUA234P7XsvEx86X/Rzu94niKbP0JXo6qgaRPdKqidlFcyZUOVKJ5fPp0KLnFRbukVKXwacNNlIKOAyZQOsFH4K3rfbAbOlRFuqeLFKNGWEVETUsgl5X8cjQdE3W86C0N3P9f1N+1WvidbrUuUFFprIylkusqIjZ55kJIPNfOnc/Q2i5YV1fyVaq1PVxlhZSJHH+axh+hoXJaWUT7mPMeDMheR9KILoItO5I0o6t9riqhDVsYjyW7zSuenzab9T1gj1Z9YzQGjf9miGjvnmQvJ9FpAX6/XFT2tf0rHXzz25HA1Q27wRJ84ag9PmjnMt0hDycd2bR4lOZJySqKpoWNTEFhuU+s1piXwt9fS2sMXOBTfY8+Jp9RWYNc5aoCu2l/t+e8FrXFUMY6uiIohdun2/73vkfXvCzHr874ePwa8+cbx4LJ/Y5yU4yq8VQbQrndsaa2ixv7/BrH6+emXJUdaXnk0mf2+p2cAUrB820Rr7i/VJKusgmiZxSjp3P5VOStmgFXd90PZTUGkCP6kmLlYEF21qQSKTw9rGLmUFF3DqQHpSWVfKVKkYhimComzOwJLt+/OuyD+ztklZcNCDaLqp0GqUV020fgF5nYiZnIG3tlpBxbaWXmUFcV3jwAbRslquK+fyDVmf7BSTzq0q0d6vp1XuzkQGLd0p9KVznukl/UG4c9sXPd2EupNZ14KBcLaV9gGdXzXxMMLBAAzTu36kcwQp0bSt8vUoG1bIqh+gp3Or54dpmnh69V786a0dRZmO0HGtiYVREbX6sB5tK7ryftVromORoGcNrdfCjFCiY07K5Yrd7Z6GJbKCZbW0sc6PUDAgFJR9Urq2znG2cmttY0hRq2l7yaysuSuJbz68Chf/apGot6J6cwoy5El6KBhwKa3yJEqYf2nXld6uRm/TRsjK6Glzx4k0WEAynLLfRyvI+oq1XhOtp3PriwKBfrhzA05965Lt+5GRUju9jMUiUjo3KdEzxhTXIxpQJ/a0mCJnZ8htvfzcua2aaPV8ofR/5XcVSufuo3Ruaz/TwkevpkTTeUv3Jnp9VTSMo6bVIRQM4KzDJ7i+PxoOimPXXSClm8YNfX6QMZzUevn8ldNRx9vnGt1DqmMRUcO5raXIIFqaB8h16uFgEHMnVOPy46bim+cdLs6xCqkFUqEWV+NEGrVaEx23v4uQg3GayDb5BNHy3EC+r8ajQWFu5ZfOXWoQLafZyi7tMu40WfVv2eBN//7WXu/7MW13LOKhRIugVQqiqeyhWGMxaUGMWlzVVfQvnZsyJpSFTvs8GFdF3RjU8Vif5FNGU3cyq6R651Wi7eCuRmT3uBfr5b/9WlwBakp3fZ79QL9Rvz8q7tx5aqLlkqh4JCgC9mJjg3z+R9Z25UnnztN7PB+0nxdMrRX7prPI7W3tVTPC3mcbB97y9HrPtq+AE2SGgwGEQ0FcefIMoWID+ctO/dO5rcf907kdsQNA3pTxfNDraRz0rImWyth06H7TWYJje0Lym6DfV0wbMaDMg2hSLWRjsfa+jG8x/72vb8dvXtni+VxvnhV3wH9VSFbB6GJdadcj9KSy4nPjmrEYcGBBS186izN++hI+c+8SmKaJX724GVfe9Rb+umSX73ues02QptZ5p2iSWRWlhxVK5wa81b2NTd1iYtaVzKhBdIlKdEN7X16ThKQWNMo1b/n6eJZaE53JmS4n5n+u3INDv/c0Xt7QrCzk9Kfvnec2ihZXak10l0c6t+PO7f5ddRURUS+r1xNbn5cVn1vu0MBH12NvKiv295S6uCswUIzFUvJNOIFP37MYX35wOb7/z7WKwY4fNMkcLwVwk7R052TG3dIpqqWKEl4t5GhyUx0LY/a4SkyujSOTMxVTvh5pwY8mcpPr4kqQR+MMrdJ6OWefMHOM+HdFRE3npu2l37e3MynUdkqppnGXlA9FPdOCklAwoPxdKVJ4tclwASWa8EovJqgNDCkGm+wSi7betLLIqNc26u0uXO7cSjp36e7cDdp45Nniyv7OvZ1JpLIGggEn4CkG2SSNPl924ZYDAMdYTDU8i0nu3PT3FSdMd32XUxNdIJ3bTnuj60ZXoqm0gM5xpyY6hJNmj8XKm8/HDecf7vl7a3zKAnRoW/ZrEyclnVtR8Z3giYJ/uv6r444SvbOtryjzINlgVK5Tj4QDCAUD+OXHj8eXzp4rXu9VWkEEAgFln/sp0YDai1c+n4UngqToyYGoXOqlt+l0pXPb3zlOWiQpBT248TLA9OscQYt88hyQgi26Xv3qomXTRXmBGnAC5XgkKPa1E0QXVxOt9Im2zanGeCiwXujp3JQJoBiLCSVaDUjl84FIZnLimFLbRKInnfU9h2l+O3+KlWKsZ4sQ9F20vbqxGKAuTOmlBjKVEW8lWq5N3teV9N3mXmkRLhAICDO3YksJRRZCzP0bgPznt35PL3ZBicSlBVNqRRxRfDq30+ITAL55/uEYXx3D1pZe3PnyVs/3yIttXuRzznabMHunc3drQqFQomsPMJ3bvkZn2op9c3fSNadNStevjqNEFz9OUZlwJBQQc4+Doia6tTeFRDqn/JicYXoGSMlMDj96ch3+95mNrskM4ASD+oBE+K1a7BFBdIW4WMkQwDSdGxOpEZFQUAyQxaZreLGtpRd7O5N4c2sbtrX24l+rrT5xK3f7GwpQStt5C6wC+yYtDSKlKdGF+kQD3sHoKino7UpklBXEUpXoq+5dgit+86Zv+o4e6MvBJdWYeFFUTbRuiKO9589v70TOMPHKxmZl8u8VjN73xnZcde+Solev5M+p1Wqie1JZ1+92XDPdn18dc+prP3n32zj5xy8q6XA0UA5U8D+YOIqS9X86L2riYdTEIyIwcJRo5xyXB///eHQ13tjipGAXY6pGCyWyyRLV5tIEpc1jwuZnLNaTymLxtjZ862+rxPjiKNHWBIDU6Le2tSrvo99M30+p3ASdMxTc6+ncgFNDDBRO535nZ7v4XvqtYgW8yq1ExyJBRcmtsoMHolqrWyZovKTnE1pNtLVtgbyTMKfe2jre5M1gmqpnRlpLy3Qp0ZoaKxtPleLOTftFT1XN1yea6m8n1cZLCtjpu2QlSG6x5ZXOTddKWjIWM+FMSq49e65nXTZNUPTUdr8WV3RvlWuiY5EQFh4yFgCwtrETbT0pcZ7RQkuNbZDmRbVU4pIPmkDrE2mRzh1WF3nkxW59Yb0mFsb0MRUIBQNIZHLCub6lO4Wb/7lG3GdlaHGTjoVQ8X0M6uIe16KMbGwn0uQ1JVr/HV5KdFfSWegvpERTm04nndt6n57OXao7t35MvBzPve5rgNPSh1RY0zTF+UNlEG0+Dt1ioh2W07lVJToaDiou24DcJ7q4dO6+dE5ydi9Oia72VcbVenrAUSAJGo/70jnc+txGfOUvy4V5KCFn5Viu5O5jls0Z4n4mHLNT3ov1CaFEW9e8ns6tP6bXRMvo5TiEfF5lcm43cqJXuocCTgp9sZ17KIjWzdD0z/dCFzeKLSGTlWjR3aDI+ZhTE21df/WVUfzgA0cCAH77yhbPEle5lMGL2jxlp14+JnKpkHyvoN+fzOTEYpZQouPeQXQyk8M/3mnwvW5pvnqobTSZzBgu8ze9jNbrt5Uy36V9OKYy6nSTOBjcuVt7UuJCioWd4NTLXKyjLyPq6dbscQdydGKM81WivVexmqRUUgo+5YNDSpA8QaVJRn9TzwF1leqBN3eItDK/lhs5w8Q2e2J2xqHj7W3zrommgd6zJjpP2wFCdhXUlegtzT2+KSY66awhnEK9lELDMF1pzXJwSYslXhdSUTXR2opbTyqLps4kOvrS6EllhVPwvq6UMqB71WDdvWg7Xt3UgiWaI7ofpunUcol0bunGKvfBA+Sbm3vf1sYjOGyStZJMNx+51okGpaSkVMl0JjJF91gcbOg6pInXHs2sghScpN12Q1Yh6Dxs7Unhtc1WUDrP3i9NHos0z61twrV/ekcEuHqPYsAJXmlSQgO/PGGIhb3TuftSWdz5ylb8Y3kDHlluGaXJNdGA4wL+9jbnvKEbU3UsLAL6SZpaSUoaLTB6TfgWTK0VE0Q99VM3FpMXB8gNVNRE2/sjpinZsvquG83QZNCVzm3vY5oc6w7zgLWI4RdUyZ/dl84ikzM8zZMASVGKeNdE6xMM+Tv9gh8vKKDRJ4V6rSvgpIBSEF2KqRjgqD3yxNq5JtQWV9SmiRYZ5MBhbJVzjl8rKaQyp80dh/HVMbx33kTlcX0SSL/bWcFXFdMpdRWYObYShgnc+vwmZHImJtfGMaW2sAKvK3Z+CCVam1BmJKO1qHT+ytevnvVQHQ8jEgqKc5TOr78t240H3tqJb/1tpTvbxx7L6d5Px8TPoE7NCvFK+3ceGyuCJrcSXauMQ/Lviwilja5npSa62yOItq8rx53bgGk692CRVl6igWO7Ftzoc5ic5L2im//NHFulbHtfOifmebPs57wWNgE1nbtWMu0EtCCaFGVRE11kOrf9PM0NAgH/wEzHOa+t7aHzVE4vp/F1XJV6ftJ43JHI4Ncvb8GT7+7FP5Y3KK/RTWW9Fj4sUzZL0acUVr/FerrPdEn3Jh35XMxnsKYv0jjb6F1jqyP8jezxXBiLFZhvUyYjHV/fIDrP+U3Xiix4FCKdNbDJHoMXTHHSuYtWorV0bgC4+OjJmFpnZbFta3XPnWlu71fXn68mWv/9yUxOvC4YsOIHuneSEERxUjzi9K/3U7sfeacB3/r7Kvz8uU2e20bn2MTamNjPel20nGXi/m39CKL7nHaejp/LwRBE96aFcjG+OiatOLkvFvmxtY1utVZWd7xWZzr6Mvj+42tw+Z1vKMElKWJjq6KeqTp0M5IDOdrOUnLydeQB4c+LnRRuvxTm3fv7kM4aiIWDOHGWlcZJpmgE/a786dz66qD7N6yS1PCuhNqrOGuY2FxE6ixAaRrWv/d4GI7IBhA0v6VV4p5UVhwb+r3K7yimJlq7SBo7EnjfL17BB+98A69vbhEpVs3dSTWI1vZJzjDFyr7f6pqO7KRLg02tZH5Cx0qeQFn/91Ci42H8+wXzcOuVxwrnRzp/coaprOLpN9O1jZ044YfP47/+b21R2z3Y0I2F/r9XKqcAnMAnlbVWJzM5ZzJLN9enV+9FzjBxzPQ6ofTSDXnzvm6xEHHXa9vwzNomvLhhHwCfIFpL56ZV4VnjKkWqoaxmyPSkcmIha6W98ETbSJMQ2r5VuzvwvcdW47evbBXHqzoeFtsySZvo6xMAr4WkWDiEo6bVWvstrKWZippodyBD2yxaXFVROreuRDvfqffhpd+3prELJ/zwefziuY3KZ5K5ipcSPaFAcEWKcm86hx2tvco5IHtC6C7ZhZRoOZ27pD7RPqv9+dy5uzU1rVhOnDUG3zjvMHz/0gXiMVokSKRzYl9Ew0GcPNtSgJftbIchBSrRUAiXHjMFXzv3UDx9/Xtcae7EMdPrsfR77xO9SQlZiTYMU9xH8immp9hq9F/scqRLj5ni6p/rRalBdHcyq5T8kOuxnM4djwSVY+/nCq63uaIxYFVDJ97c2qa8hxb/KHigc8LLXA5QF929FlvoPKmQUpHlPtGxAko04K6LltO55VppGg/pWFWIdO6scg8WxmKlKtHaZFbP2JAnq3S/A6zMEBr3yUuBzgMr8CMlukA6dzgo9hNti3MtBNW07L60yFrKV1ICOMeIajZr4xElmyUfehDmnc5tfdZ4bTtIiU5nDbGg8OjyPcpr9FI+ryC6WSrX0bfHXROdVTwX9BZXgJod42UsRlRGvRcd9WvcLzuxN63eQ8cWmc79zYdX4rgfPIddtmpf66GmA/kNpWibKYOrmCB6S3MPMjkTNXErw4X2TaePcCeTzRliLicvpgQCAeET0tCeQDZn4P9WNYp7tzP+5leivQJNmqPQON+XzilZk8FgQCk9BCB6jc8a6xhE1lU63yEvOtIimlecBjgxR208Ihmf6v5O/r+vNk+quh/7FSXaDqKL7Dte1kF0W3da1MKMr4mJi8UrfUEOOvW+roBzYtTEwp4TzpbuFP66ZBdW7e5Q3t8p3Ry9Vtf2iZpEKYgucmUsH/KNR647aOpKeqqJlGI2Z0I1xlVFxQROPvmEOzcF0Z7p3OqJpw++PamsqEEErItIH0iKrYuWb+R7OtyLA/JiBl309Bip0HUVEcyzA0frdWqaVD70QXz1nk5rYt7Whx/+a7143K1Eq/uorSclboJ+KUg6ndLKHjnUeqVz0+pjXzqHnDRhlW/W1bEwxlZF8aETpjvOj/a5p2+r/vfK3R3IGabiPl0KhmHV6y/a3FLyex9d3oBbn9soBthkJqfU2uek9nJTbMUuJqlu+7XJE91cn1hllT584NipUm1gEst3teP8217Dtx9ZBcC5Nlo1A0N5Uj1JS+duFfVJMcy1042ifkp0Oitev3K3VQ8qG4sBVv/MafUVyBomHly8Cz99ZoOoSa6OhYUZyNF2f0hCT3f2q306yQ6k6IZ26MRqVERCQoH26g/c1GXVILVpLa7yKdF6EE2ruat2d2B/bxr/etc6JrRQMctOH+xJZUVLERqXvbZJRm6ZpGewKEp0RlWiXTXR2g1YdecuvcWVjpeYrqfuzpIM04ohFAzgG+cdjlPtDAbAOS7yYmY0HMQRU2pQFQ2hO2mN2YqxWCSEb10wD0dMqc37fV4ZAXTupbOGMgkTxmIeiimldNNcinp+F0IE0XnGc9M0FVWnoy+DHz+5Dlfdu0SUMIVDAc9UeMAdpNA4TCmu2+0sMHls171X6PtrRRBdIJ1bOve8+4mTAVlI8QDIVxOtL9pMlsa+VDan7CNZqdTNUeUgJ5WRg2jHWKxQyzEZuhfRvVkXAmgeEgiov6cyEhKBAi1kdEtKKI1LfjXRci9Z2naaT4pSj0hIUaL/9e5eZHIm5k+uEeO7H7S/6RrIFzjq6Oc1lR3IYxSl9I+vUhd59PMVcM873EG0O6BokcqXqrUUa12F0xc7vZRoJZ07b0209bqsofrQ0LGl87DRp80VBbl0njrGYvlcyDvxf6sa0ZvO4S17ruOnROdTIMk/gBaUVu7uwLE/eA6/enGz73vofr5gitWjuZSa6Pa+DEzTujZ0EY+yBxraE3hmbRO+/tcV+H//WmdtZx73asCZD3iVJjodGxwDYmGCS60B46RkZ5XfeMQUZy5O50AmZyqCHS10b2nu8ax7p8+siUdcIgahL/wpv60/SjQF0VURkeGQr1+4TFkH0a29KbHDJ1RHRR8wr3RueSBd41GX2y0mr2ElZYZYsbtDBEI7pPoSOtHrKyMibUTGyx2XDmKx6RrEw0t34dI7FmFfVxIdPjcG03RU29aeFD7x+7fxi+c2YrMdRB86sRqBQMBVywm43blpNSebM/DAWzuweV+3GKDIGU8PkNfs6YScydaVyIj0i8n2CV9sXXSTdGF4tb6gC08xO7Efo3roGWMrMFVKiZxr29PrNRRe6Kmmcl2RbH7S3J1UJueu/njSYkCrz6q4DgWztRVOPaBsfkITgHHSDVQ+x+UVe/nm5SzgUFsrLYjWJqMUKDW0uw3JTNPEku37fUsIAOCF9ftw6/Ob8J1H3gVg7dM3t7YWTA83TRP/+fga/OqlLaIMQR70qFeoMPar05ToTM6VxtedzKKxI4ElO/YjEAAuOWaKNJFMYLltbLRubxdM0xQpQnTMvJRoCjY7Exml7md8VRQXHz0FtfEwTpw11nMi3JXMiNfv3p9AW0/KVc8FAN++cB4WHjJWjBt0Q6qJh/Hls+di0Y3vxQe0oEMPBLwWBgHgmrPm4OvvOwxXnz4bAPDwl07DK98+R3yXldqrjmtNnSl0JbJiPBzn4c4dDautfFx9Q7XU6d37+5DNGeI6nzPBClBSWUOMJ2RuU0gBkoMKSpMj5OtUTm0GvJRo9ZjJC1P9SefW8eoxLCuT0VAQHz1pRtHf4//9NJl3rm2rxCCIE+wsnaXb9zupzQXSVAtRHQuLfdUoqUViwc9TiXaC/pljK3GMtijk+11FpE32pXPiXAWscfK+N3fg1U0tYkFXNsLT6zn1RRt6/hD7HKXjKI/tb2xpw+oGebFdDaRIKY6EC6dz56udt/o2O/4CrppoaRzQF4WmCCU64VJr5cX1pG86d05MxoMBq/RgXFUUmZyJF7We7DKvbWpR5gB0L6KFQLcSbQdFtuM4URENiXKcjU3W/MbJKIxIrtV+NdGOWkVBD71WjA0htSb6sRWWovthD6M9Hf068pof+iHu9aJPdJ50bu38HFvE9xSTzi3f7yq1bgpe6dxiATga8lTcVWOxwu7cADy7Uhw+yZrDNXX5BdGqEl2MsdgfFm0X/6ZMAy+HccCdjSlD80+6R/3r3b3oTGTwh0XbfMsYaS5Ji3IinbuIII/6uY+pjLq8KSiLqaE9IUpYaQ6b0hbGdERNtFaamM0Zkhu/9RuTklGdyJrUnLfX77Xuw/OlRVn5PJHndvSb+tI55f5BCCW6IixKana0qnPQ4lpcFZ8xQ2PUmMqomCf4+TTolHUQ3daTltSh/Eq0fAG1dKeUlYtkJqdcePIqMClN8uRrlzT5ITW5riLq2QNQ1ER7KNHFugUC1sn4w3+tx5o9XXhxfbO4wGismlgTEzeU3XbA8+2/r8Jb29rwm1e24p2dVk0lFeNP9ljBcSnR9oX26qYW3PzPtbj5n2vFQEkrQPrgS/XQTk1EVrzmhFn1AICdHpNHLxQlOk8QHY8Exf6lC5wCuxljKpW6wjm2q2qpfaIB96SXRJhMzhSLFIB74FGD6OKU6K6kurIHQDE/od9ZXxkV54D82XJwLTtl1ms9E/XVOF2Jps/sS+eUldzGjgS+cP8yXHnXW/jMvUt8f8frW6za48bOJJo6k/jhv9bhk3cvxjNrLKd4wzA9A2pqFwY46oC+re19aaltgl0TLdr5GC4FojeVxfPrrNTsk2eNxZS6ClEX2tSZFMH6vs6k0hOavl+szEtBXK1U/tHclVLqkz596iysvPkCnDhrjOdEePf+BOSF1lUNHU4qmjRZ+uDx0/C3L52G420jMLohVcfCCAattC1dEaSaJsIvbWt8dQw3nH+42H/VsbArhXuiFrS29abEBKYmHhZBqO7oLAehetCsB6xZw8Su/X3YZqd96UFUOBjA/MnWDdir3ZLy2VKK72Y7K4Z+v3yNkIomHK2lbQwE3MqdvItLUqJ9gtJCi4mfO/MQpXVXf6HjQ2NKIOAsgp40y1KAl+5ol/pEF//bvAgEHOM3GsPVtGO3YjpjbIW4J1127JS8Ne8yuquyF/pkdHNzt0hrp/uf3OJKV6B0ZY96+B5iT3pp3JDnIgDwxlbHDJC2gbLVxlaqJTo6xaZzV8pKtOZ6bv0Wd9BFTJZ6RdP8xrlO0mJRRW8X46Rz55Taw3AoiI+cZAWXf5FKzGR2tfXhqj8uwRfuXyoeo3nQ0dPqAbhrouk+UBFV52aV0RAOtRfFW3tS2N+bFoFWTdxRop9buw9feXC5y/U7qSjRapsoOSuD9vXm5h68s7MdwQBw+XGFMyX0MX+uvehSDLphnlMTXdhYrMonm1JGV+68FEc5iNYDB/q/KP1LO/M8r1RuQD0X86ny1j63fptcUtclgmhrnruluUeZIxLCnVs3FsvTpvaJVY3ib5ob6YtpQo33WbBLZ51+6hNtrxTKEu1KZrFoU6vn++heSr4mIp27r7AXDWXbjatyL0pMF0G0c1+lxbFC7tyiJlo7L2QTZ7kdsNOO1XqfE4TbQXQTKdFOEC3fJ+Q5s7ygt9nDpFGeG+slNQQtvngbizn13pv3deP7j6/xjBll1Jpoe7zNHAQ10W2SsZhVE51PiVZPhjV7OtHSncLn71uKI//rWSyxG5NX2z1gCa8enTulQV5eYfZaaUyL/n7OrhxTRHqJzkNLdokAtrUnJQ7qh0+Yjil1cXxemnDt2t+H+9/cgZc3Wim0OcPEC+utlWG66ehpEJmcIS74MVqfaDpBt7b0SEG0d80H9WSlyZnszn3YRGvwy9fjT0Z+nacSnXZWyGPS6rj8+uljKsRgAgBzJzppooXQlWgKommAP2ZanRi8Nux1FC892JNNq4pXoslUTO6t65ifyAsIdIOjayEeCSqTM/nfY0SqEKVzq79RHzTlAY0WMvZ0JPCBX78h1Ibtrb1CEdZ5Y4tz41ixqx0vrLeC2DWNncjkDFz0y0X4+O/fdt0sZLdsCob1zI2Ovgz22ildFAzTTSGdM1zp1z2prPhc6pEsp3PTjYZqaQkKnkWLK2nlPxAIONeSVBtP6gDVdcpGQBQf6OfJyt2dYpVbT38GnJsivc/rNYQ+Ofe7WRYDqe3zJ9cgHAzANIFl9qKcHNDKSpdsyAM4gQfhte2vb2lFKmsgGg7i0AnVStBaFQvj2rPn4Etnz8HHF+ZXZ+UJH6VzU/2vaiymBhzyBNXq5asGcnI6d0mO2dK+DwaAM21jx/cfNdn1Wvmm/5X3eht6lQoFHuTHUBlxnNJPnm0p0ct27Bf3qgNVogFntZ/G8MpoSEkJFbW79ncFAgFce/YcHD2tDp86ZVbR30PBRj7HXN17xEsFlWuiXencmtJXrSnRu9qsLAoaK0+dY51rNJ7I20BpkjddfAT+85Ij8J7DJnhus6pE+xuLVUQlJTrlVqKVFlfaGCCPfXRdHDaxRnw2PZYvnVv/vk+cPBMA8NrmFs8MpcXb22Ca1qIqBYbtIoi2Fs66klbbwjV7OnHyj1/AH17fJr5X3i+V0TCqYmHMGGuNi5v2dQsjrupYGGccOh5HTatFOmfgydV7cfdr25RtUYLoGlWJlnvI0zn692W7AVjGrBOLML3Tr6Mrjp9W8D1EjT1e9thtgmixNRIKigUwUh7HVEaVsbIyGlLGsmOlBUlS7uRadvoeHTr+E2tiLiNICqJFWzOpLtarvRVQfIsrwDnXZCGD5pEURL+0oRmn3vIi7np1q/JeYSwW1ZRoH3fuvyzepWSqEFWxkNKTXTZG9EJOSfbKlnri3UbXY4DjMUKLiBREp3OGpy+RDHXI0LPFAGe+sKc9IWqSW3vStiFvke7c2hyF9q3cISORyblEH7nPeUKaT8np3Nbr7U5FUswm+wZt9QqiE85C2ezxajYQkcr6LxLIhma/fHEz/vT2Tty9yBobtjT3KOM2IddEC/f4gyGde39vWgSB46uj4kTSayEBd/3xn97eifff/hpe3NCMnGGKi1VfxfNSAiidW661qq/0rokm5M+sq/RP19jV1oe3NFOSdNbAva/vEH+3dKfETfnEWWPw1k3vw5fOnuvcTJq68b/PWkY98yerJ+1hdioMpXM3Sf1tCVmJNk1T1J40d6fEyURBi67oUpBylLghOu7cNPjpQfTflu5WVgIJeZVxX3fS1aeZbnQVkZAYDOh3UF0V1ZQSVMdUTE20PoBREPmZ02bjunPm4v9dfpS4mcqvdaVzS6u+xRqL0c1cbokhD0zyBIAUNLrpVUbDiqomp9I69UHWcXQr0ep+kZW7hvY+9KWz+OL9y9Dak8Lhk6ox266xXr6rHTp7OxPY2uIMbo+80yAWERo7ktje2ouN+7qxePt+JbgB1CCa1F2XEt2bFuk+ZDAjq59kOkbXcE8qq0wMAOc6SGUNvCulX66WfA/oxkOTZP0GSQ7d+7qSTp2wdlOTW9LobqrEyt0drlQ0GX1Bz+s1RLE10cVApmVHT6sT++1Ve4GO1GFAa3EVVs2ZqnUlOubeHsoSmDO+CuFQUBkzq2NhzBpXhZsuOkKs8vtBn501TOEFcfpcK3BVlOg8La68XEsVY7EiDYKsz3L2y9iqKH7z6RPw/y4/Ej+8/CjXay8+ejKuPn02/vHl03wVnVKhY09KnKysHjezHuFgAI2dSTHRGYggulYE0dZ3VkRDomVVzjDFGCmfl1efcQie+NqZSvlNIYrpE6131ljv4ckRCQWEUqsr0bXxsNgngYDTx3ZKbRyRUABZw0RDe0KMT7RgI6sjjrGYNS4cPqkGX3jPHN99HZcW3b0M6Gg8qYiElEUjtzu3FETnqYmmhcJJtTFxfdHcSg+iK+ya1UQmp5hzAcDs8VU489DxME3goaVuNXq53dECcDIGyZ17Sn1cLPLu7UzYrSNTIoW6MhpSWn9RYEcZeJv2dTs10fEwxlfH8MRXzxTtfnSjInkhhxZa23rSME1Tan/nLK7Q/eHCI92LX17Iix+Ta+NiDCoGCkTlY0qfSQt4EXsMCgUDSgp3ZdSZE1RFQ/iYvbABuIMYCr4907mlzKsqKYsEcFpcyXWxchaAFzVx9zzEDwqASShJZw0xXr//qMk4YWa9OFd+88pW5fp3jMWsfUBzKMto1F2rv8L2IzlJM6CNhdWOFfRb/YzF6FoIBQNKfTLt4+fX7fP0GaLUehKmKiIhcc0XEtraetwL+wTNFxo6EiKNO2eYaO9Li2var02bn4O1XG4ml3WIRUKPdO6N+7phmNacSC+NoUUYmuOZpikWBgB4mhB3p5xSxzmkRLf0KkJMvkUC2rbuVFaIfou370dnXwZX3PkGPvzbN12diWi+PKYqcnAp0YZp9S8FrNSkfIZdFPxRQPXKxha09aYxf3INvvP++eKknVIXV27s0z3cUSmdu1eqtaqviCoBjz7BVY3FVDVQ5gsPLMUn7n5b6TX52IoGpf5DVqJl9ZtWGR9fsQd96RxmjK3AnZ86QTwfCgZE3QWtelG6ubwyKU/AU1lDcUGkwYpuwPrgS8Eruf52JhxjMapl6UxkhDnDOzv348Z/vIsb/rYSyUwOb25txUk/eh5PrGpUfrNput0Y5TQzJ51bVaJnjKnEmKoovvieQ/DZM2YLY62i3Lk1F0LROmNcJW58/3wcO6NeDHwy+updUz/Sufdpq5OAMyHq0RQHXYmWJ1aAHkSrNdGuIFpbAFCD6AT+56n1WLe3C+Oqorj36pOFkrJ8Z4frN8h9mAEodXJ7OhKKUqEbQMlBdLtQotXrZUtLD5IZA8GAW4kGIEzHyJypN5UV6UwUCMfCTiqfvOot1zO29qTQkcg4NcBaECz7C1A9j55iF/G4GRO0+Ldqd4c4L72VaDWI9pusAO5AwG/FuRjef9RkTKuvwBXHTxMpZ5RhIKdn6enc+YzF5L9JKSHzOsqWkev/8v1WHd3TYubYSqFyKTXRWVUN1ZVoHdktuliXXUDdL+OrY6iNR/CZ02Z7tlOsjIbx3x84EifamTwDAf0WWgyVF3gqo2Ecae8bSkuOhvq/4ELQgjJlilRGQ8qiCN2PC7UJKoReO+qFPh57GVtGpUUf3ZU3EAiIyV91NCzOg2AwIMYdWnQLBQOi7GKbtIBI42y+/rjK9oSCYvLt5eBNj1VIAZOXEl2rKNH+NdFy6q7ul5KUMr7k/+vp3MQnT7GCtr8ta3AFLSukxVZaUKV9M6YyKvZnY0dCtC+kubGuRNN2HCbqorsVYzHAOnan2JkBG/Z2+0y0nXtAOmegK+GU8ugZNYAzPhVCHv8+ePy0ksYMeZFRDqQiIcekUs6GkYMoeU5wxJRavOew8YiGgjhkfJXYv/r72npS+MqDyxW1Xknn1tQ3ulc6987C6dzy4/V5aqIBp7SG5olykDy1vgKPXncGlv3n+ZgzoQqdiQwefHuneF5Xoi1fGes5Lx8iCqTOOlzNComF1Q4TTvqy91gj1+7Lavxpc8ZhWn0F+tI5vOThFUBzPcpoCwQCTpvAAiWfurmnzOS6OIIBNc0csMQwMU74tLiS64ZN02r99cN/rRMGoFXRsDIOyO7cgFpT7ZiK1bqyuxxjVsddXxbLNksmxYTI0oyH7VI2a/yXPXD0hT8ZeWFxi606v9vQgWfW7kW33dVH76tOC30HnRINWANxNBzEGYeOw9g8La4o6HzvfOdC+fyZh+Dxr5yBL58zF09+/Uzcc9VJOGxSjbLjvfp0tvdl0JnIiBPccjMNKkH0gqmqq6l8k/Fz3+uR3GRX7+kAYNUH/ch2gj7Bvjm3dKcUBZyglSeaUFywYDLmTqgWavSssZXihqCnczt944LKJLQvnfNM1Z3iEUQnMzlx4z1qap39mJMmPrW+QjhNkxr9m5etVJxMzjJyeml9M1p70njknQZXvQspwWsbO3HDwyvFxRmXDEeoP3CDHYTRIsj3LlmA/7rsSKWuuBB6f1NCXk3T60UBt2GBrLzTSnchmrSBFVBXp+lGEQ+HxEVNkxK5Tg7wNhajiYvLWEx3FpeupYb2Pjy71lILf/rhYzB9TKWoc/dSot+0A63zF0xyPdeoBdEbNQMoMoaTt0EP+CnQnVJXIc7rUDAgFABadCEl2jCdz5WPqVeN7RpJtdjf69Rej6mMuCZVk8SClKxEq+eFXGeqn0+nzR2HaDiIzkRGnNNeSq2+oKenSMvogUChGrl8vO+ISXjju+fi9EPHC9WdaqPmS8qGaiwWVCbtehA9viqGcNBKCfuIbZ5FdapOEO2dTVEIfbL61XMPFYGBqkQ7KZv6NuoBB+Ckc0dCgaJrdgF17C9kijYY0PfTmKIH7ydrCsxgpHNXRC2zMToP6f51IBkSgFT/nq8mWrvP6qZKgKXs0qTQK9WUFr70VFXKgHm3oQOAtUAxx852autNC4VG3K+L7BMcCDj7ytNYzD7H5dTdPiWodSvRuqJNAVV7X0aMxROqY+IapwXHhBYoy33Yk5KLNXH+gkkYXx1DS3cKL9jZJYCVtSaP8/vtFpsUINVXREQWQmNH0rVoXulREw04SvTmfT2SsZhznOaMr0YkFEB3KouG9gQeW9GAu17dKhmLWfMHympo6Uk5pQ0hd3tCEiIKIR+3D59QfCo3YC3u0nUo12tGpO2RfRkoiAoGaA5n7Zsjp9ZixthKPP6VM/DA5xa6xlFapH927T48uXovfv7cRjEukhfIhOqYmLf1pq2gSg+iZWOxGp+xmu5JNF/Oh97mijIeKyUzqlAwgC/bPezvXrRdnPukFNNvDQUDkpmvGhu09ljmxIEAcMah45Tn4hFdic7ftko4QkulK4ClcFP2wtId+5X3ZKWys4mSIEPjRKE2uGLR3iO7LRIKuhZNACt+KDadm7J0X9nYgnte345f2i7jctlrIu02FnOyJjPY4OHMTThZL9bv0A0ONzf3KPNl0zSVFlfxSEjEaHLmT74+0dGwk+VGH53JmfjVi05HBT2l26sm2qMCwJOyD6IB4Nx5E1ETj7ich2VoJ5w7fyJ+9pFj8PdrT8P3L10gdvJhk2rwviOsyb5cE11fGREXf62dIgRYadfyjTEQCKAmHlbqZWUqlCDaWzGnFTHAUuayOQPXP7QC3aksTpo1Bt++cD4ARxkD1HTfmeNUpeoCO3ihdiGyakQT/yZX3zhrkKIBPJHJCUVPht4vDyik/lZFQ2KFiAgFA6iMhkQroqbOJNY1dinqZFNXUqQ+r9zdIQJ8UrAb2hPY25nAVfcuxaMr9uCu16wAvEJRoq22KrSQoKt3NLilc4avWyJBaUF6oCynQ3r10c2nRGcN09da3zBMMRCLFB8pwJMnBkJ1jjo3zFaRzh1SFkKqlSC6QDq3FFRncoYyAV2yox0t3SmEggGcYdd1njjTWuVf29ippMCYpilMxT5z2izXzbupM6l4C2x2BdHummh9W1fZE1cqYyBIUSLlbfqYCnEuUkqrfEwnewTR8rWYM0zR+3ymR3nHJKk0wm9lWE7n1lOaptTGRW1qd550bj2I9gq0CbcSfeDqIuDeV0co6dySGVJINRbTf09dZQR/veZUPPylU3G4pux4BtElKNE6Hzp+mhi32/syQh1LaUq0VQft/i0ExebhEpy5AXWi4pV2N9jQ99Nipp4JQW3OCK8a3FIRxmL2GE4p0HrtntdiRSno/WuJbM7Ah3/7Jr5w/7KiWplEQgFcedIMXHTUZHxY63sNOIsf+nk8rd4aD2h8GGe3A6IxYVurdR+nRdtCtaAydM3m6ydeEQmLz8waplhIpfNXaXGlLY7UxsPiGiMlfUJNzBnPOn3SuaVJJN3r9JZcV5LB2BInpfvdBrVzR1tvSqS5BwLWmEWLEo0dCdfifUVUdeemexyViW3c1y0m2LLqGQ0Hcajtx/L2tjb8+9/fxS1PbxC18bTtdF9v60lJ7e9CSjAcjwQ9s8+8mDm2Eu8/cjKuOm2WUMtLgYJRulcHA9Y8ykuJpoWxCtvvgK6zo+0WiAvsYFrP6KH5C2V+pbIGVtop96o7t/U+w7TOhz6PdG5n33uP1TPGViISCmDuhOqCi5DU5soJor1TxT94/DRMq69Aa08KT9oqqVCipfujX2ywyb7PzxxbKdoqEro55gSPjDUZ+TqRt/P4WWMwb7J1T9uqBWetPWkYpnVc5UBYCG0Fxq7WPEo04Dh0yzR3pwq2uIpHHHO3rmTGZQZcFQup6dyixZWj/tN7hTP3ZFVYBCQBwl6wo0WBybWWit6dzIp+5YC1WEPBK33HIVJKN2DNPQsZp3mNw7Lx4DYpIDdNU6mJ9urelI8REUR/wHZKpBOppTvlUvtIjh9bFcNHT5oh6pa8UBUQxzBs3uQakQ68c3+vq21FMBjAd94/H9ecNQfHzKhXPlMOzMdoDsmEPHHfvK8HL29swfJdHaiJhXHbx44TE9jm7pRn70F5kj2mMoITbYXhC+85BN+7+Ah85/3zxfN0I3DSudVaKrpAOvsyrnpVue2NrADIdcihYECZcFTHwggEAkL1a+xIiCCY2NeVFDfuTjt9NhgAjrP35daWHlzzwDtS317rxI5HHNUrmcmJYH58dczV+1XepkJqNKVr6EG0okRLQTRNduRA1DRNl6Lul9J99X1LceotL6JdqvWfJH13RKoTpclpPOIo0S0isFZXQmU1Qm5wnzNMp5WW1tcPcGd0kEo6f3KN2K8zxlZgfLXV1kTun97Sk0JzdwrBgFUjSG7LlVHLrCNrmEp9nK5EK+ncWsBPwQwdZz2wpUkRDYrjqmIuN+gJUl2tlxJNqihBZSP6jRZwbgRbW3qEgqGvDMspmTVxVVGZUBPDOYdPVF7vlc49tiqqLMblS3EeyJpoGXm1fExlRJlQygGRrKQA3r/n5NljMX9yrbgJEl5BdD4TNS9osei7F81HOBREfUVE1DHTQoc8UQYs9Y/OE68VelKiS3HmBtSUueFQovUFAf3cPGn24CnRFAjRgs8ph6j3Xb90wmKhbAzdWGxbay/e2WkZGZLpTGXU/7si4SAWTK3Fbz99omf/X1r80BdzaJJKmSsUVNA5va2lV8lMKimIto9D/j7RVuYYpejL5pKAakypnweBQEDMKWj8tdK5rcc27bNUIMfAU50bAI6ypx/HTyyciUAAWLS5FW9saUVLd0q0ECTaetJiDlRXEUFISo/f25kUpQBEZTSkXJd0D5ozoQrBgHV/oBR6fbGDVLC7XtsmFpPEvrK3XfSK7kmrSrR0PcweV1V0FkowGMDv/u1E/MDD+6AY6Fyj+7CohSYlWsq4oeNfYY9f375wPv79gsNx2bFTPD+T8FoQeGtbmxUU29fUhJqYWAQDrECUAhmvdG6/rKHx1TE8+42z8OAXTsn7u63foaZz+6WKR0JBofK/tNESZJyaaGc7aL4qt24DnPP+8Ek1GFsZVfZpLKL6etAiS08qi/betGtxjq4Ty0TR2c4TZowRYwqdny+s24d/rtwj5nkTa2JKBhW1ACvUBtepifYOoqd7ZNK2dDuLRH4ZaoFAQEnJ3qWZBFqtgPOlc1v7vjOR8XTmJvQ4hOb0U+rjIuNDroum+WokFBCxigii7XFeLk31VdqlcdFr0Vg2NEtkcuIzx1RFEQoGSiqPK/sgujoWxrnzrQkorQr3pLKuk89ZSSh8E4trE1UKVA+bVCPqK3cqSrRzAn/hPXPwHxcfkXcSS6kaPZrRwcYmp1Zrc3O3SP247LipmDG2UlwofemcuBHIQXRlNCxe874jJgn3xlg4hC+eNUdRqqfUVSAUDKDHLq73c/WktHKZmlhYcYomRFspex+p7ZnC9vdSEJ3ES7ZjOJlTyUE0MaEmJgKXP76xA6v3dLpOenmFOpHJie3wqmeXg/tCddE0GOsTX0WJlv5NCyzJjKNy7+91bsi0PV4O3clMDq9vbkFnIoNVDY4Kryt/U+yVehqM42Ennc9J585jLGafq6atItCNgBR7+cagL54Qx0kLRIFAAMfPtCbhckr3LrumZGp9BeKRkHjPSbPHit8kB92b9zlpO8lMTqmHp6CHrjfdeEgPounGR7U1U+srlH0QDQeVdGd5H/u1T6LfNnucW4mmlCRyaK+KhlyLNxHpBlkRDSvbM746ppSZAN4TkUAgoKjuedO5ZQUqFCypHi8fco3+/MlqjZOiRBcwFpOxWqhYzwcDzk1RqYkuMYi+5+qTccuHjsY175ljfW4woCyyAnKfaHeKqLcS7VaAikGtiS6+V+xAod/wddVifHVM9OUGDrxOGXDuSzT5oMk9ZbCI7zpAJbpapA2qY7mc2rfCXqzzWgAjvNReGX8l2roe9PRWSune3uosttfEwq5ervkgE638La6s7dENUJ36bn8lGgCOs5VK0hwm1MRwvD1Wv7B+H777j9Vi38rp5XQPplIb/RybMbZS+GV86g+LcfKPX8Bddr0tnV9tvSmRqkzCAinRG5u6XXXuLndue3vikZBw6X3HHqddQbStgm3xcPul61PuFZ32qYkuNpV7IKDfQPsoqgXRXj4bIsV9cg2+eu5hrnFMD0K9Mune2tqmLMZQK0X6bHleME5SZ7tT3oGuzJwJ1Z5O0jpy2zbAyTTxui+ePc+a/y/a1IJszhDp3PL94zB7YVY3FSThav7kGgSDAWWupy8Ei/OjO4Xzbn0VF93+mpJuLZc9HDK+CkdPq8OHTpiGusqIGA/2dCTQ1pPCdQ8uxzceXik8AnS3d0eJLlATLVpqei/OynNgSnsuJp0bcBYe9nUlPdvOxb2UaK0mev1ey6cgGgp6egnoZaVyORy9fpMksNBYVBuPiLmHrkTL5m3FKNGyUSD95q3S/YOyF6KhoJin6KJMPso+iL5gwSSlfyGphvLKSTKTEyf4mCIuYF3toQF+3qQaEYjubOsVJ7iXWUi+mkQ/o4MNkhK9a3+fMO850Q5S9B7WldGQa5A80q5FvvQYdQXS9RujIZxvp68/uHinaL5ON7gF9qoR1cDKVMXCzuRFutHJvZnpdxI0sFJvysXb29CdyiIWDuK99iJIY0fS1b9wcm1cDAQ06f3ZR45VXqMaixmOqZhPj9VieovmDCclRHYDtky7nH0uD36zx1e53C6pJnB8dUwEaF5K9LaWXrG6u7WlV9yoJmuDKwWMYsCOOiYiLd1Uf6gq0fLqczQcFM91SEE0BWeyik4DtB44HqdlWVDGg2wuRg72tLBw9Rmz8cHjpuLGC+eJIDgnFZX0pLKibEBvZyZaXNnbqk9kXBNI6RqpjoUxb3KNkvo8sSamBH9Tpbqh0+aodVEUfNKkfKanEm2NOWTeMcVj9VcOvKq0dPvxNTHMnVCt+C/4Ka9yeUK+FOeqaEgo9gcaqMjIky59ZdlVE11AiSYCgYAIcGaOrRRjWoWSEVRaEH3CzDH4xMKZihkYTZC82tjo2+lpLEZKdIkLEsOfzq0p0R7bcLJkZDYQxmJ6OQEFPHoQfeBKtHc6t9yijtSmQ8Z73w+AwgsjdA/SSzFo4Z4gRZBcY7e19gi1Vt8nhajX6gvV7bWVaHu/+mXjyO/1Oqf/6wNH4vS5zpg3sSaO0w8djx984EgEA8DDy3bjH8sb7M90jhV9b7sIot3H8YbzD8eCKbWYUBNDIOAcIwqu9/emxQSVgga6N2ywBQV5wbwiorYflTMLyIOF5lP62OilghEindsjiNZTemflOYcGGjq391MbtrCqQMsLs3I6dz70xUh9fgFYi06iRl66V9I9i8rGYtJcoi+d80257g8VrnRu/1Tx42bUo74ygq5kFiukDhfyPf9oOxNO7sABqEo0oGYdutK57ee6kpaJVWNnEj9/bqN4Xk7njoaDeOJrZ+LWK48DYAVnJOD936pGpHMGTBN43m75OUkTaoqtic7XJxpQ5wtksNfcncxbM0yQer65uQe7tTnZzrY+pQ2Z3uKKlF6aX86bXOO5iKcbi8nKOnk5yRm6uuINQCyg0RyNUtXDwYDvuC4H0ecvmCSO7adPtdorbpNqscVCX5UTuJeSGVfWQfRX33so/vPSBcpjNGn3SgcNBwNFKRpKa5V4GNeePRcfOn4aLj9uqpjA79RqonXyuePKRgedCcfaXU5pNU1grV2zQ0FKIBBQJmFe3/u/HzkGD37hFJwzb6LrOR06YR5dvkf01qaL6pgZ1qDz+mYrkJcVlOpYWKlFM+zggfb5TDsgkxcS6PVT7UBysd2X+4gptSJ4WLe309Wvb3JdXAkuPnT8NHxQqnEE3C2uKK3cS4mWt4Ws8r2QHRjl1cnxNVElAJPToSbWxMRNhQYPUtan1MUlJ0z36qLsQrhsx36nTkabtOltjuLhoEvhroyoQZp+45HbXFGqIX2uXM9NN0s5CwKAcJ8lTrAXed7Z1S4GHqqhoeBoYk0ct3/8eBw1rc5l1ie3ZgOcsoBaKZ3NNJ1a8tnaRMY1gZQm5ifMGuMqLdAzC2Ql+tS5ahA9R0s19lKi5cCyriKC/7psges1cgpwRTSkDMITqq2JiqxG+9U7y+d0vsAyEAiIMehATMV05N86XzMKcblzFxlEA07PXXm1Wl6sOpCaaIKuP1qgSmXcSjTtK+8g2vp/qUp0bNjTudXtHe8x4ZJTugcynRuwxjFyvp1cFxf3AGAAlGgpiJZLuOS+ofSwXjYgU6gO/LJjp+I/LzkC3zz/cOVxveaQspRI2d/W0isW/wq19dH5/qUL8J33z/csPSNFm4JKv2yccMgJdLyOa11FBPd/biG++t5D8bkzDhHjy1Wnz3alIcsBLP27PY9B3HEz6vHU9e/B0u+dh9e+/V58/dxD8e0L5+Gceda50NqTFvMfEipooZmmAYdNrBH3nqpYSDEwq5TGlM+cpvYW1+d5+lglQ9s+TqRzp5TyNjlL4ZAhVKLpvk2TeBE8C2MxZ7vouPnVxhKudG7pWpw5thITa2JI5ww8u7YJgLpoRNlEVDYmm9pZLa68FzD6g/O5ejq3+7NDwQDOshdmXt7Q7LSrleZAx0yrB2DV/tM4YZqmmHNQwCaXecUjIWV88hq7/7x4pzAV1F3sdUiNfnT5HvHY4m3WPFjPCPAzH5ZJZhz1369tpjxfoFKaFsmd26/FFeB4EW1q6haLKv/v8iNRFQ3h+5ceIeaYyYzbWKxWy0agbj06JEJ12f2kHWU9ivn2wtcGKUOXrgU5tpgj9Yo2jML10Pr2zZ1Qjf/98DH46nsPxbVnz7FqsVNZcZ7v17JlgPylQTplHURfe85cV2oIqVK7PIyJxlRFi6pnkS+C2ngEp80dh1s/dhzqK6OSEt3nWZcsv8/vMwEnAKabULPtuB0KBkTLF8BaYZolTdzlC1lub0VMqo27Vvv9OH3uOMwZX4WeVBYPL90NwAn2adAh9XehVMtWHQujxk4lNU2gj3oz71cVYHkhgU56ClhIhTx6Wp0YQMhtWV5wmFJXgcMm1gizlu/biyaHTnRuZvGIk+aVlNK59YBTbL9PCqAMDcShYEA5x3QlYnx1TKjP1L4GAJbvbMdFv1yE3766VfxueaUbsMy0Lr/zDby+uVVJWaEFhgnVMVcarltxCOFYTRmujDpquWXwpJ17UvuELpHOTUp0Fo+v2INbn9sotnNcVRTT7H1ZEw9jzng1LeeY6XUIBwNo6U4JFZmUaK+gk1L2rH0WxbF2SiEtItHxo9+VzhnoTefQ2UfKuDqR8VNhAGChHRzIN3a9xp2C+lAw4KrZ1F32vVJCq2JhXHPWHFxx/DQ8982zhNIio7d7kgPE8TXW+fVee+HLqvcpHERXFRjI6YY2UPXQgLpotKCgEl28kkxGjFQaADgpwMW8vxjo2m0RSrTaJxpwFi8807mD/ayJHmYlWp8oeSrRUqA2EMZiJ80agwVTanHJMVPw3DfPwiVSZtSJ0nf5nefFQte1nDkEqOnchDxu6JlihRZGKqNhfOE9c1xZL3r5h6NEW2PkjrZeoUSXGkQfP3MMvnzOXM9SjFPnjENlNCR62+qmovI594mFM7DwkLG+rZkioSD+/cJ5uPmyBcr86KMnTtfKxWQVWDW9KlQjOGNsJW64YB6+8t5DRVCsKNH2WDWpNq4Ykk4bU4Fj7PtDVSws6sT17Tlp9lgli0hPKR5fHRNzJwqYCF2J3iplhcWjakpvvpKAgcZRovWaaPc4dMbc8fjRB4/Cf9s9sf1wG4s5Y8FR02pxmr2I/ORqy6RLnm9Wioy3lPibxsteqSZav7b6g+7O7Th/e19DtAD9ysYW8Vp54fbwyZZDe0dfRsxRGtoT6E3nEAkFhJope37EpHtYJBRwlWgeNrEapgn84rlN9rbaZQ9+QbT9HaulMjYSjfTa9DryTcqTzk2t+mLhoFLjKzN/Si0q7DnizLHW97f0SMZieRZMD7XV+Te2tiKVtVqJfmLhTKz5wYW4/LhpwiOhN52VFGLVWIygDFmdGqnfdHN3UppzxsR1umlfj4gXNtvlGLOlBdFp9RWIhAJIZa0sVOGSni+IlrZvzoQqvHf+RPz7hfNQGQ0L9Z5KJmVnbuKgUaK9oAn1LqnPl9Pjq7ibGO18uXidoJXIpq6kaLnkFczqg5WuBgmHbjvAp1Tu2eMqRd9OwFLS5BubokSXeFPWCQYD+JStRi+yFWcaNI7W3MUPlWpZqmKW8ksro12JDEzTFMHPTM+aaDVdizh6Wp0IrKltzrzJtSLNaFJtHHWVETx/w1l45vqzRDq+bP5SEXFqUGVjMd21Wd+WfDXRTq9BVTXUJ8GRUFCsAo6viYmL8y9LdmH93i5hSDWlLi6tdFvH/M9v78Sq3R349cubsbHJqdWiRR8v0w99ElcRDYkg1HksLLb5/7d35tFRlPne/1bvnXR3ks6eEMi+EXbCEnZEwg7CILggKKOoiLjgfn111Bm8r0dHvGdGRHBUeDVXZIBRUBGvgqMoil5WCRiEYAJIErORkLXeP6qf6qru6nR30t3Zfp9zOIeuVFfV8+uqp57frmS5FStVXmkSlWh23Mq6Rjyy7Qhe+Z+fsdv2Io0w6UXlbVCfUFmILCA8L/1tyibLHWa91NnELUXadqFPWJDYooQZEtizmy5pN1dRay/kIV3IBOvUzhV/NfLFlbCfVImWL3wTrEG4Z1IqnpqdjbhQeyVvjYoTc6nYuVzltD4+Iwt/XTRYMccMkHsNpPcUxwFW2+8xJjUCgxJCMT3HdSoGm+CNWrXb/Er2/PnSE202aDEmNRxZsRYxBI7hbWExKcvGJOKdP47E8rFJ4jbpItkXIYJsQchejo59ooVz2sK52yos5nU4tzQnuhPCuR0Liyncw/3ChefQbNC4vIe9Idykx+7V4/C3G4c6FerKlXi9O5qrH6RVi8+rNKT7bFmd077SeSM50iT73b2NLmBIewwDdk90nzBhYXe1qVWsTutNUTF3LBnVD0efzhfnN1eeaEBo7/jeitHtyuVfKKlULp1HxHlZ7Pft+RxjDbZXwf5dNDAI96RWrZIZOeNDjbhzQgqmZEVjRk6sYkg5Y9U1qeL/gxQiecbanAurr0mTbdeLhcWE87JaNCmRwbAYtDK5tRXN4GtMDp5oNp+y65EaZlUqDjeP6uc0JzsdUzIPG7QqWT2f/nEhYn0htkaRKtFMYS6TeKKZobNO0uKqrVodnsLmYbYmrHZT+Xt8WiQ4TlAs2TpBOla9Ri1Wh2ZKLFtzp0SaRJlGOeRESwvtSourBevU+L9/GAhA6CTD8zzq3RTrSmmjv7iTJ1psySWM5Zsz5ch88iO89/15cZ9N//4FADBzYKxL56A1WIcvH5mEgttHib/l5eoGj8K5pV1xAGHtrlWrxHOx7wqFnIXvsDWH4++UE6+sRHMcJwnpbpB1N+kXHgyDVoX6phbRKWrPYbcb8DVqlXj8A2fKJJXHXc93bJ0eH2p0qrbNooiKLteiobnFqW4D0IM80UoohXMzS16YgrKrBHsIWEVpKWHBOnGy/f6cMNkqvRwde8w53qxhDiXsWVGxzBiLrOXLMIcentIXtqfjaYuFw+XWZnbjhQRpZV7EuFAjEmyKlMmW1M9C2VjxFMe2UlLrmNnBE83IiQ9xysuJtRjEkC+mnMWGGGX57FKrulFnD/OqlyjRju2txGtRKIrmiDQkSBpaqxTSw7wR0Wa9aIU96pB7Ex9qdPJE/3i+EgDw/dnfxZAgKUqLWUfDgEGjFgpXSF7uQTq1aFF1LFgByFusVTko0U0tvOihO/yrvW0L8zrmOfRSZDAPIiviI3qiFXLIpOHcCdYgZNgsjsdLqmXf7WsNEhXksiv2ivTS3EahlZr8Gb0syTlnBgapJ1rpN1yTn4FbRifKjSIS7wUgLMK96Q8sRerdk1rwrUE6URk2aNXYuXIMXrlhiMvjsEWcJ8VZ2PPnTSVJT9iyfCR23zvWKTxUOsc55kSb3BTi0GvUyEuNkB1D6mn3tjq3EixC4IPDpfjk+EVcstUQkMqSvRyVcnXb2+LKYqs8rGTwCQTS31/FKb83OI7DjpVjsP+hST6RdVvMH9oH8aFGp76s7UGl4sR7iy3i6xvlhQkZ4SadPa0o1CD7LTrifZeGdEfY5g6NWiU+qyyyKMTo299eaoBwVqJ988zfNNIeJi3NtGJGa7bId+V9U4IZccqvNIoGU6lHX2pojw0xYESSFRuXDkff8CDFFleM0cnhmDs4DunRJidvMwA8Oy8He+4fj+kDYmXGUHbMSLO96CZgny/YPGfQqpyimPwJU0aZ942t05gH2tt5CJB76IN0Gtl7MSc+BLMHxuGO8cniNul609kTbVcsG5vt7TB9YfBk13X4fKUQtswqf7s4drhJj8kOKYyOhhTHvOi3D5wFIE9PkxrYherc9gJ+0uJqY9MikB1ngVrFoaq+CRerrzq1gnNEukZTcfI5x1U4N1vz/OtwKa42tWLzgXMAhGi9j2xOjtvHJaMtWJcatiasaWgWHYttKdFJEcGyOcYxstMezs3Cp1X2+lRatWhsVqs4xeeRESUpLsZaXEXYojCZUYj1mj4p6kny47Fw/v2nyuxh9W2MjRkplAwbzOj798+L0P//fIL1+4SCiGHB9menRxUWc6SvQjg3syR4uoBhD4qrKoPMO8V6+bpSZpm1g+OcX2qhYpurRlxtasFHx4QclIwYs6yn4HAHJVq6qFcqaOYtFoMW90xKVfzbAImHMzbUiD422bLcGKZYHS+tEkO5pW2llKpzmyWhrHqNCmnRJlkIDSAo2k/P6Y9P7x8v5tI5IlWihXBuQb4llfWob2oBx8nDhqWwa6msF/rfObZDA+S9BqUPjJInaU1+Bm4e1Rfj0yPF35yF6TwyLRO3j0vCH4b1EV/c5bWCJZBVimxu5cVeeFIvl1L/YkdPNFsgS4t9BekEq+u6xYPx4kJ5ETbAbsC5UHVVvE6pB9aRcJMOfxyXhHdul3sKpQxlxcWKf0elRDlX6qssXST1CTOKhqLCSzUoq20QvdlZsRbxmT1fUScu4vqEBYkKjdLxpRVY2b0otUq7WwjFhAh/jzTrZb+3kkHAU7SOnmjbPeVtjmxmjBlPz87Gfy4Y6HZff4RzA4LCpWRMaLuwmPfX4Otw7tEp4RiVbEVjSyvu2nIIPA/MHRwnux898kR7qXCFGLV47eZh2Lg012dV0r1B6iW02lp0KGHUqT0qvNlRTHoN9j88CW/f5r7VjUfHY/U5bAttlg9tNmhk92CoUSvOJzEWo+y93V5PNGCv0A3YUzMA+/vxqM1A2tHIsbaIthhEz6ROrXKKFmoviRHBWDQ8AWFBWlnIP1sjMU+0NwXiWMh7zdVmUaGRFv6SFnp0jFwzypRo+Tk5jsO6xUOw5/4Jir1cTXqNuCiXepT1DuHcDOa5Zkp0Yniwz+TqCWydwpRWdj/Zc6K9vxbpPMrSvkKDtNBpVBgQHwKVisPjM7Lw3LwcDEoIxYwBsU7fZddj1KlliiozSvoiJ3pqdjQsBg1OXKjGqnd/FAtstVX5+09z5aHsjooOSxk6WlKJfacu48vTZdCqOdw1wb7+dS4sJoyP3WvMwDgpIwp6jRopNq/lTxeqxfxtV15KqcKWHm2WeVOdPdHyFlesPtKx0iqU1zbgja9+QSsPjEuLaLNonhSz3j4fstQ5V9GagPDekDrSHNdajkqqdH6Q1mRJizK1uQZhMr9UfVXmiQbsyvJPF2vQ0NwiRpE51jiYYHO6fXnaHs7f1jmn5cRgSlaU2L1DCvNEl1TWo7mVFw2yVqkn2ov1TLdTopmScaGqHo3NrWhsbhVDhjxdIDAF11XoJgtzsO+v/GAzr6RBo3ZadLLvXK5pwF1bDuHH4kqY9BrMHhSHzBgzdLaCII5hEJGSa/I0PN0drMAYIM8lGyg5d3yoAelRwo0bYxEePOYlPl5ajXMVLHzX/lBKPfTMqspxnFi9OCvWAq0tZ1c6lpgQAwxatcyY4Ig0RNCgVYnKEuspF2MxuAwxYy+D//qfnzHhhS+w54RzBXKpJ7qtolQAMCE9Es/NGwCDVu0UlbAoNwFPzMxGuEkv8UQ34nhptVMvYmuwTjZmJU+0xaB1iBwQxijNi2aymDs43imnF7Df36z4l8bmJXNVdC/SpBc8hSkRLmXKFOETpdVi+GK0Ra+4mJEaNxLCghBu0osh3f/46hdUXGlEsE6NIX1DxWdWbOlls3ayMSgp0exeki6U3P2GUqJt1ugoByW6I/lwTkq07Xq8De/lOA7LxiRhbJr7ugfMiOVrJdoVOrVKNMRIC4vpNSqvWvswfB3ODQAPXJsBQPCqmfUaPDEjS/Z3e0608/WKYf7tGMuU7Ggx3zDQSD3RrgrQBBq1ivOZQUHstmArFMkqcydHmmRzgMWoFeeN2BC5J7ojxdSkkTXSY7I8QGb8UyoE6ivUKk5MufFlNX4AeH7BAPzw5LWyedMoifwCvIt2sRjsPdtLbH3EsySLYldeacfzeOP9dkR6XxgcwrkBQZ6syCRTxgLZ3gpwNhyyd7ljbrQ3sIgYQBgXx3H4f38ciYI7Rsnu3ZtH9cPOlWNk4eH2VpoN4vel7ROZL8IXc3WCNQiv3zIcOo0Kn564JOZot3XsPmFBeHhahmysUtha+sfiSvzHjqMAgFtGJ8rqCUgdOgatPSWJ3WsT0yMRH2rEVFtbJKbA/nShRtbiSom+1iDxvh+cECp6xgHn1D1pi6vmllbRE8vzwO5jF/GerYaROy+0FI7jZOMbnBAqU+SVkP7+jgq34/PnmIbGfitX+dAMts69UHVVjBpm7yl2fScvVKPotytobuVhMWicolcH9QlFiFGo0P6NrVhbW3NSXKgRG5fmKq6jWPSi2aDBDSP6itulabveeKL9G9flByJNehi1atQ3teAvu3/C2wfOiuFWniqdI5KseHxGJkYmKS96Uh2UO1e5TmJ1XIXJnlma3j5wDg3NrTBoVXhjWa44uW9ePkLwsDo8kLLCYj4KDzNo1XhtyTCsLvgRKyakiNulD3lsiBG3jU1EgtWIKdlCayz2cBwvrRZlkCmxislbXGkkxzLg599qZXnX0RaDWGTEVa9eKbEhBgTp1KhrbBGqc9tehCwU2VVlbuFahOtixQo+PHJB1isOsPeIDnKwtrpTeqTe92iLXvZiCpeEc7P+gCFGrei1TYsyIdykEz3UrnIT+1qDUFnHirAJ1+boiW4Ltpg7ZwulCzFqRcshq9YdGqQVraDuKn4CQtX1aIsel6ob8OGRUgBAP4V8aECQv9mgQc3VZnFiHp0SjsJLNfjHV2cBCIVzhNBqmxJtWxizez7UqEXFlUangjoAsOGW4Xj1iyI8PdtumQ6WeaLbvr9YxdJIs142dqUiaZ7iGM7NfiN/9g32R3XutuA4oYbE1aZWmRW/vV5k6X3sizw7QJjbJ2VE4vPCy3hoWoZTukNeSgS2/1CiOPezRZm2E7zJHUH6DvHkWe5usGfb7okW5rWk8CA0trTi5MUamPQaaNUqZESbcPh8JfrHW3BEUuDH2zx3KUyJFjzfdlk7GjB9mROtRII1CGfKrnS4WJsjSlEnjmsar3IEVRzCgnWiR1OYZ+3vVWmLQMdODoY2PNHewAoTScNqg21FjuqbWjAkIVSct6YPiMHJi9W4cUQ/l8fzB47zJltvsettb/SEyaDBlcYWcV3jTslhBCt4ojmOQ5BWLWt16lhUt72MTA7HC38YiNUF/ytuc9dd587xKdCoOKfWc4AQ5WnSa1Db0Iy6inpYDBqsmiyPwpSFc2uk4dyCrFgeNHsmMmMs2IlSnLxYI0aCuDLuaNUq9A0PwpnLVzAoIRQcgHcgGPAc5wbmPLja1Irvz/0urmsB4PndP+FKYwsyY8wY54ExXUqkSS9GjTpWtFciLdosRsk61eNxWFdM7R8t+8zuA1eVuRnMgFB4sQY8Lxirma7GPM6Fl2okodwWpzlJreIwNi0Cu45cEMP0lVIZPSEnPgTb7hqNhLAgRFkM6GsNwtbvz4vebqCHe6I5jhO9U29+fRatvL1qtKc5xGoVhzvGpzhVPWakR3nqiXa9iGXx9ezheOEPg2QVsEcmhyue35eFxaTk94/Bsafzcf3wBHHboD6hiA8Vwm2D9RqYDVrMH9pHHBfzRJ+5XIu9Nm/uREn4tVKLKwAYYQv7YEUsAHnosieFbTiOE722ZoPWydjgygACAIP7hkKt4jDQZiTYf+oymltaZfvUNdg80XphYcReXO68mNI8cEcrX5RZDxUneLnfPVgMQCgQw6ydGTFmmbVbqYcjIJ/MmLUtM9Zsn8S1bb9o2L13rsKuRAP2+zU92oQpWfYJ0RNvKcdxojd6x49CC4d+bSidi4YnIDvWIuZSj7L1MGQRAMxCyIwQv5TVyq6VGZv6K3jacxOteGNZrkzB9sYTPTE9EkE6NcanR/rNE52XEgGzQSP2SPcHIW0Y8fwFW8ALVeGFMbc3x1YaxeCLEEHGf904FNvuysOSUc6LiGk5MTj81FTRUCilveHcnY3Uq65Umbu7w94tzPDJPNGJEcHiPMGehWfmCnmxo5PDZb1VtR3xRNtyBR07NzhWr/dnODdgj8rxdQ0EJRwV2LEKHQnaQip7x3BUFh6vUXFOc7V0bB1Roll+qkErjxJk4fhSD1WU2YC18wfKnAqBQDrnqTiI0VrZsSHgOIi1RLw+rm0+9sabBkBSiVt4R7PnTtomK0in9lk+PiBE0/1BUtzO3XtAZVu7S7sBMLRqwVH1wLXpeHhaBt65fZRTUeBIs1BENS7EAJNeI0Z1sNQix1QmpuSdvFCN+qa2w7kBoS3vlKwozBwYi9wkKzhOcJ44KoUmvUZc2/zt85+Fa9DK5f/Hccle12hhRoLwYJ0sVN8V0sKqjkq01DGQHBHstE7M7x+NKLNetpZUgq33WbXxMEmdGLaGPldeJ6b5uWpXN8E2BzW38og06/GgQztCbxjWzyoq4XdNTMH/rJkoi37tdE/00aNH8de//hXnzp1DWloaHn74YSQnex6W4I4Ea5Cs5zLDV0VdHMOMlapzA3ZPkNJLTfqdEUlWzFJ46JVw1+KqIziGKRp1anzx0ERx8ehIlEVo21RW24DSqqvQqjnkSdpryVtc2f9/z+RULBndT3b9UoXRE080APzHzCzs/ekSxqVF4Hip3auQEhmMlS7yvAEh/Pro01Oh16gx7LlPUVnXhP89XylWOgXknmhAUKCKy+vceiOl43R82IP1GizKTcC7B8+jyBaePDolHMdLq/B54WXkxIUAElErVecG5AUemPFAr1FjZLIVX54ua9MLD9jvG1admCmbzAAwJjUCA+JD8P6hXwF4/tzcOiYJnxy/JE7yiW1UMnXs7z4yKRwcJy3q4qBE2+TFFsMvLByEn3+rxbB+8pZUrmALB45z742bajMosfy3fuFBuFh11W3l07ZwVKLHpkXgyFNT212ozBOm5cTgy9OXZYsQf8MWUHqtSnzpshwjb5F7on33KjLpNU4FG6W4yntsb5/ozkbmie6Ewmb+xuTgif7FlqaSFBGMZlvKjLQ+AHuOpUZ1XQd+0zGp4ZicGYWpDoaXsGAd4kIMKK26arsG/8qeKdG+VGJcITXUjkuL8LpqtXQOznJQBtliNdGhsBEgz+83eqkESsmwLc4dF/65iVZcrrmAmR4oGP5G6nVNiTSJxtB7r0nF0rx+7V7/sUg8b40QjqlZeSnCO3r9zUPxyfFLuFzTgNEp4T5/pz09pz/+fboMl2sbxF7L7WVEklXmrHJEreKw5/7xaOWF9bCYE+0imivLdh+dKbsiGhXaSp+aP7QP5g8V3scWgxb/vCtPsfYNAEzJisbx0mqxc86cQXHYebgEV5taEWXWY86gODejdSY92oSPjwM3jernUZqXdM3jmDon/Z2lXlrGPZPTsHJSqtv7gSn2rL5CQpg8PYbNoVu/F9ajroxHEzMjEaxTI0ivwbu3j+rwvdIW3jw7PleiT5w4gby8PNxwww247777sHnzZowaNQo//vgj4uPjfXIO6Y+9anIq3vr6LKqvNsta63QEa7AOESYdymobxXxSJSxtPFQsXIHjgCdnZns88circ/vXsg24XzD2j7Ng36nLAIDh/ayyxa5SYTFAePgcXwDS0AtPW6zkJlrFYgbSBcrLi4a49b6xF8L4tEj863ApPi/8TVSif6u+ih9sVaaZxend20ehqr7JrSdHajjIUsg3eSg/Ex8du4jKuiZwnNBj+c/XDcBnJ3/D/KHxYsVuQG7hlcLub42Kk/0+ryweguKKOpftBBiOERmrJgstP0YmheP7s79jzqA4xIcZYdJrxPx0T8hNtOLh/Ays/eik7Do9ISxYh8wYC366UI0Yi0FcSDElminmrJKmNVjX5svQEeYNtQbpPFKCpIrUeytGo7ahuUNGOKn30t7eyr8ezZRIEwruGO3XczjC7hWdWo3UKBP23D/e5SLBHdIXlbue2IGA/V4dCf3tDKRKlT/TBzoLe050M37+rQb/a5u7U6NMiAsxIjcxDPOGOK8trJJqqx0xjATpNHhjWa7i37LjQiRKtH/f18xo6UuDkyuk4lKK6HCHNDff0ROdFm3Ga0uGKeYgu6re7y1JEcHYsGSY05rwPxcMxP+Zle1zB0V7kHpdpakBSusnb2BrMW8jhKTyNmrVuCZLiKJKjTIjNar9BmZ3mPQafPbgBFRcaXQK7/cHUmMBix5xVU8p2qIXU99+KK4Ex0FwhngIi8RT4trsaKz77LRk31BU1DXi0xOXcOuYpHbVcVgxIQVD+4WJlefdkRIZjOxYC4L1akUD7OTMKBwrqcJdE1MUvu3ZGkfqLNKoODw6XV6nZE1+Bh5477AYtesqjzvKbMDnaybCqFO3WYDOF3jz7Ph8Nn722WcxcOBAbNiwAQAwY8YMpKWl4cUXX8RLL73kk3OwKroRJj1WTkrF9JxYfH+uQgwZ9QWpUSaU1VYgNEjr8kZpKydxeD8rxqZGYHRKuFdhQsF6Dcx6DWoamrtEaJ5UiZ7oYI2St7hq+6ZmnuiwIOfQbE9IjTLhyVnZSI4M9kqekzIFJfqjYxfR3MJj36nLYv9AQJ4f60klZWkIu1LYiTVYh4fzM/H49qPoH2ex5QdrxYVIepTQGzksSOsy/8cetufQNi1Y51HxPGmBm1kDY0Wv3P3XpuOuiSnicXffOw4GnXcT9R3jk3Hm8hV8VVTmdSGlsanh+OlCNSakR4rPlFTh12tUWD5OuTq4O1h0Q1vecVdEWwxoOyDJPWFBOmTFWhDs43C3rkZ6tBmllfVIsnmfO+K9Z4sZT3piBwJ2L1q7SHEuT9GoVdCoODS38l3ineFrmLJRVdeEB7ceQWNLKyZlRCI7Vsid23pnnuL32Fyp4jrer9oV2XEW7P1JSHXydzj3hPRILMtLdHoP+wNWRReQp2V5itQgqfSedKxRwjAbhLxlFdfxtndTFc6hVau6hAINyI0hSmlL7YUp0d6m+QRJrmdyVpRi0VB/EazX+L31nhJzB8fjSkOLy0hRjhPaN7FiVsvyEhWLubaH/nEWxFgMYnXo/nEhmJQZhek5MZg7uH0Ox2C9BhMzPH9eNWoVdt07FoCyQrxp6XA0trR2qA5DTIhBfD89Pae/07px/tA++OlCNV7/8he3aQztzYP2lk5Vovfu3YsHH3xQ/KxWqzFr1ix8+umnPjvH7IFx+PfpMtwwoi8MWjWy4yw+u7EZ6dHCg9OWdVnMiVaYrIw6Nbb8sX0tPp67Lge/lF3pUKEjXyEtSuH4cLoqLKYEKzDljffSEVftl9pifFokOE6o/vza5TPi9sEJoZgzKA43juzbxredYWPWqjkkRyiHk9wwQmgZojQZhARp8eG9YxGkc67ozsiKNcOgVSn2uPOEKIseQTo1Wlp5PDItU/Y3qWKuVLTLHRzH4T//4L79khL3TE5DiFGLxZKKiNKwv5tH9XNbFMwVA/uE4O83DfW4HYSvUas47Fo1Fhznfw90Z/LqzUNRWdfkdesuJRKsRhi1apc5UIHm2uxo/HXRIDGMsTth0KpR29Dco8O5N39zDnWNLTAbNFg7f6Db54y1LPFneL40L9rfSrROo8LTc/q739EHLB+XhINnK/BQfka7DFwsIkKr5mS5hu4waNXYvHwEOI7rdmkV3iL1RHta/Muj44o50d4pPtI80Nkeph92d0KMWpdeVkZWrAXfnKlAgtWIh/Iz2tzXGziOw5TsKGz5phhqFYe0aKFVFAsHDxRtzaNCMdGORYkF6TT466LBuNrUgoWSmkxSHp2eBa1ahUizPiCRNu7w5tnx6dVeuXIFZWVlTmHb8fHxKC4udvm9hoYGNDQ0iJ+rq6vbPE9YsA4bbhnesYt1A0u4b8tqyRaSvrZsttcK5Q+GJ4bBqFUjwWp0av1l0mkQH2rE1aYWt3moeSkReHR6JkZ6EaLrC8JNeswdFIc9Jy5hUmYU8vvHIC8l3OvWQ4zMGDOswTqMTLK6DLfhOA7T28i5creoCDfpsf+hSR0q2PTeitHQqlVOxSI6kxCjFvfYQssZrMWJXqPCigntr5vAcZxHhTT8SSB7jHYW7EXnC0KDdPjykUld4qUJCErKdUMCu4DxFQatCrUNPbM6N0sXqGtsgYoDnpuX41EKgdUmi47kQ7tjYB+hCJTJVvm5p9A/LgT/fmRyu7/PojlSo8xeK8PS2iU9GYtBC51ahRaedypS1xFSbWtXb3NGW1nBEjg7THozy/ISUXGlEXeMT/a5d35GTiy2fFOMAfEhAWtV2RnMdpPfrVZxeNjB4dOZTEiPxKEnpyDqZff7+vSOaGoSWuYYDPIXnNFoRGNjo9JXAABr167Fn/70J19eSofJ7x+Df/5YgsW5ypYTAJgxIAaXaxqQ37+jwaBdl2iLAXvuH6/oOVWpOOxePQ6trbxba5VaxeHOCW1b/PzFy4uHgOd5n3gIQ4N0+Oaxa9rVw9EbOhq24i5vuqsQH2rE328aikizvt1eaKL70l5jFiFn4fAEHDr7u089Wl2FBUP7gAMHs0GDwQmhHhsG06LMmDkgFmnR/itAExdqxKs3DYXF4DrtqzcyLi0CmTHmduVT9xYMWjVeuWEIAN6jNC1PWT42GRMzomSVlz3h2uxoTM2OxsSMqB6t0HlLv/BgrFs8xC/HzkuNwFu3jRCryRNdA2nROXdwPC8xP3WQlpYWGI1GvPLKK7jzzjvF7U899RQ2btyIkpISxe8peaITEhJQVVUFi6VzwjMJgiAIgiAIgiCI3kN1dTVCQkLc6qE+9USr1WoMGDAAhw4dkm0/ePAghgxxbcnR6/XQ68kjQRAEQRAEQRAEQXRtfJ4sdNttt2Hr1q04eVJog3PgwAF89tlnuO2223x9KoIgCIIgCIIgCIIIKD6v6HLXXXfhyJEjGDx4MFJSUlBUVIQ1a9Zg/vz5vj4VQRAEQRAEQRAEQQQUn+ZES7l48SLOnz+PpKQkRER41zLE01h0giAIgiAIgiAIgvAFnZITLSUmJgYxMc7N7gmCIAiCIAiCIAiiu9Kzu9kTBEEQBEEQBEEQhA8hJZogCIIgCIIgCIIgPMRv4dwdgaVpV1dXd/KVEARBEARBEARBEL0Bpn+6KxvWJZXo8vJyAEBCQkInXwlBEARBEARBEATRmygvL0dISIjLv3dJJdpqtQIAiouL27x4JXJzc/Hdd9/547L8euzq6mokJCTg/PnzfqlI3l3lQjLvWccG/Cv37iwXf57D3/c60H1lTzLvOccmmQf+2CTzwB+bZN555+jO60Z/H78nybyqqgp9+/YV9VFXdEklWqUSUrVDQkK8FpharfbbpOLPYzMsFotfztFd5UIy71nHluIPuXd3ufj7HP6614HuK3uSec86NkAyD/SxAZJ5oI8NkMw78xzdcd3o7+P3RJkzfdQVPa6w2MqVK7vlsf1Nd5ULybxnHdvfdHe5kOx71rH9TXeVC8m8Zx3b33RXuZDMA3/sQJ7DH/j7urv77+oPOnLdHO8ua7oT8LTJdU+iN465syGZdw4k98BDMg88JPPAQzIPPCTzwEMy7zxI9oGnM2Tu6Tm7pCdar9fjqaeegl6v7+xLCRi9ccydDcm8cyC5Bx6SeeAhmQceknngIZkHHpJ550GyDzydIXNPz9klPdEEQRAEQRAEQRAE0RXpkp5ogiAIgiAIgiAIguiKkBJNEARBEARBEARBEB5CSjRBEARBEARBEARBeEiX7BPdXTl16hQKCwsRGxuLoUOHKvYXq6qqwldffQWO4zB27FiYzWav99m2bRuamppk2wYNGoSsrCzfDqgbECiZMwoLC3Hy5ElkZWUhPT3d5+PpLrS0tODIkSMoKSlBSkqKy3vv119/xaFDhxAaGoq8vDxotVqv9jly5AhOnDiheOzrr7/ebQ+/nkSgZM44ceIEioqKYDKZMHToUISEhPh8TF2dQMv82LFjOHPmDGJiYpCbmwuO43w+pq6OL2VeWVmJzz77DDExMRgzZky7j9PTCbTMPdmnpxNImXt6rt5CfX09fvjhB1RXVyMnJwcJCQmK+x0/fhynTp1C3759MWzYMMV9iouLceDAAQwcOFBRri0tLTh8+DBKSkqQmJiIAQMG+HQs3YVAypzR0NCAHTt2IDw8HFOmTPHJOJzgiQ5z4sQJfsyYMXx6ejo/a9YsPjExkc/OzuZPnz4t22/v3r18aGgoP2LECH7YsGG81Wrl9+3b5/U+wcHB/NixY/lFixaJ/3bu3On3cXYlAi3zmpoafs6cOXxYWBg/Z84cfsiQIfyqVav8Ps6uyO7du/mMjAx+yJAh/KxZs3ir1cpPmzaNv3Llimy/l19+mTcajfykSZP45ORkPjMzk//111+92uedd96R3eeLFi3iY2Nj+ejoaL6lpSUg4+0KBFLm9fX1/PTp0/mwsDB+9uzZ/IgRI3iz2cxv3bo1IGPtKgRS5jU1NfyUKVP4qKgoftasWXxycjI/evRovqKiIiBj7Sr4SuaVlZX88uXL+djYWD4qKopfsGCB4vk8+e16OoGUuae/S08nkDL39Fy9hVdeeYVPSEjg8/Ly+Pz8fN5oNPKrV6+W7dPa2srfdtttvMVi4adOncpHRETw06ZN4+vr68V9CgsL+Tlz5vD9+vXjDQYDv3btWqdz7du3j+/fvz8/YsQIfvbs2XxERASfl5fHl5eX+3uYXYpAylzKPffcw+t0On7kyJH+GBbP8zxPSrQP+Pbbb/mvvvpK/NzY2MhPnDiRnzRpkritrq6Oj4mJ4R988EFx24oVK/iEhAS+sbHR4314XlCit2/f7scRdX0CLfOFCxfyWVlZfFlZmbittxkuGP/617/4oqIi8fOlS5f42NhY/rHHHhO3HTt2jFepVKLidfXqVX7EiBH8vHnzvNrHkfr6ej40NJR/9NFHfT2sLk0gZf7GG2/wOp2OP3/+vLht9erVfFRUlN/G1xUJpMzXrFnD9+nTR1Sa2Xx2++23+3WMXQ1fyby0tJR//fXX+draWn7u3LmKykV75p+eSCBl7sk+vYFAytyTc/Um3nrrLZkS+9133/FqtZrftm2buG3z5s280Wjkjx8/zvM8z5eUlPBRUVH8c889J+5z8OBBfseOHXxzczMfHx+vqNB99tlnfHFxsfi5srKSj4uL4x9//HF/DK3LEkiZM3bu3Mnn5OTwS5cuJSW6O/Liiy/yYWFh4ucPPviAByBbmJ46dYoHwO/du9fjfXheUKL//Oc/89u3b+d//PFHvrm5OQAj6vr4S+anT5/mAfD//Oc/AzSS7sfChQv56dOni5+feOIJPiEhQbbP22+/zavVar6ystLjfRzZsmULz3GcU8RBb8RfMn/11Vd5i8XCNzU1ifusW7dO9mz1Vvwl87Fjx/LLli2T7fPyyy/zwcHBMmNeb6Q9MpfiSrloz/zTW/CXzL3dpzcRCJm7OldvJykpiX/yySfFz/n5+fx1110n2+fee+/lMzMzFb/vTqGT0pujGKX4U+bnz5/nY2Nj+cOHD/MrVqzwqxLdexIKA8zevXuRk5Mjfj569CjCwsLQp08fcVtaWhoMBgOOHj3q8T6MLVu24PXXX8e0adMwbNgwnDp1ys8j6vr4S+b79+8Hx3G45ppr8PXXX+PDDz/EL7/8EqBRdX3q6+vx9ddfO8le+hkABgwYgJaWFvz0008e7+PIpk2bMGnSJKSmpvp4FN0Lf8p8yZIlGDVqFK677jr84x//wPPPP4+XX34Zr776qp9H1bXxp8zj4uJQWFgo2+fkyZO4cuUKioqK/DGcbkF7Ze4JvjpOT8OfMieUCaTMlc7Vmzl9+jTOnTvnkewLCwvR2Njo1fGbmppQUFCAN998EzfffDNaWlqwZs0an1x7d8WfMm9pacGNN96INWvWYODAgT67ZldQYTE/8Nprr2HPnj34/PPPxW1VVVWwWq1O+1qtVlRWVnq8DwBs3boV06dPBwDU1tZi1qxZuPHGG/H999/7diDdCH/K/LfffoPJZMLixYtRXl4Oq9WKffv24dZbb8Xf/vY3v4ynO3H33XejqakJDzzwgLitqqpKZpgAgPDwcACQyd7dPlLOnDmDL774Au+8844Pr7574k+ZGwwG5OXlYdOmTeB5HpcuXUJkZCTS0tL8NJrugT9l/sgjj2DMmDFYvHgxpk6diiNHjuDjjz8Wv99baa/MPcFXx+lp+FPmhDKBlLnSuXor9fX1uOmmmzB8+HDMnz9f3K60LgwPDwfP86iurkZERITH52hqasKOHTtQW1uL7777DrNnz0ZoaKivhtDt8LfMn3nmGej1etx///0+vW5XkCfax7z33ntYtWoVNm3ahHHjxonb9Xo9amtrnfavra2FwWDweB8AogINACaTCY888ggOHTqE0tJSXw6l2+BvmRsMBtTU1GD48OH49ttv8dFHH2Hfvn1Yv349du7c6adRdQ8efvhhbN++Hbt27UJMTIy4XUmu7HNbsnfcR8obb7wBq9WK6667zqdj6G74W+br1q3DunXrcODAAXz44Yf47rvvMG3aNOTn5ys+K70Bf8t86NChOHHiBNLT07F//35ERkbi73//OwBhju+NdETmnuCr4/Qk/C1zwplAytzVuXojDQ0NmD9/PqqqqrBz505oNHafoi9lHxQUhIKCAnz44Yc4deoUvvrqq4ApeF0Nf8u8qKgIf/nLXzB9+nT893//NwoKClBUVITy8nIUFBSgrKzMd4OxQUq0D3n//fexZMkSrF+/HkuXLpX9LSUlBeXl5airqxO3VVZWorq6GsnJyR7vo4TFYgEAXL582ZfD6RYEQuYpKSkAgAULFoj75Obmom/fvjh06JDfxtbVeeyxx/Daa6/hk08+wfDhw2V/S0lJQXFxsWzbuXPnAEAmV3f7MFpaWvDmm2/illtugV6v9+k4uhOBkPm+ffswZswYxMfHi/ssXLgQZWVlOHbsmG8H1A0I1H2elJSEZ555Bm+++SaeeOIJHD16FEFBQb0yAqCjMvcEXx2npxAImRNyAinzts7V22hsbMT8+fNRVFSEzz//3Mmg4Er2kZGRHTJqhoSEYM6cOfjyyy/bfYzuSiBkznEcFixYgIMHD2LHjh3YsWMHfvnlF/z+++/YsWMHysvLfTYeEb9lW/cytm3bxut0On7jxo2Kfy8tLeW1Wi2/ZcsWcdv69et5vV4vVnz2ZJ9Lly45tfZ54IEHeIvFIisF3xsIlMxramp4k8nEFxQUiPtUVFTwRqOR37Bhgz+G1uV57LHHeIvFwh84cEDx7x988AHPcRx/6tQpcduyZcv4nJwcr/Zh7Nq1iwcgVm7sjQRK5itXruQzMjJkBQvfe+89pwJ8vYFAyby2tpavq6sTP9fU1PDJycn83Xff7cvhdAt8IXMprgoueXucnkygZO7tPj2ZQMrc3bl6Ew0NDfzMmTP5tLQ0l+3snnrqKT42Nlack5ubm/lBgwY5FX9kuCpyVVpa6rRtypQp/OTJkzswgu5HIGXuiL8Li1FOtA/Yt28fFi9ejPz8fAQHB6OgoED82/XXXw+VSoXY2Fg89thjuPvuu1FcXIyWlhasXbsWTz/9tJjn4sk+Bw8exDPPPIO5c+ciOjoaX3zxBd5//32sX7++V4VVBVLmJpMJL7zwAlauXIkzZ87AarVi48aNSE1NxU033dQp4+9MXnrpJaxduxb33Xcfzp49i7NnzwIAwsLCkJ+fDwCYOXMm8vPzMXPmTKxatQqFhYXYsmULdu/eLR7Hk30YmzZtwpgxY5CdnR2QMXY1Ainz1atXY/PmzZg1axYWLFiAS5cu4aWXXsKtt97qlKPXkwmkzH///XfMmzcPN954I/R6PV5//XWEh4dj7dq1AR1zZ+MrmQPAtm3b0NTUhJKSEqjVahQUFECv14vpIN7MPz2ZQMrc0316OoGUuSfn6k0sW7YMe/bswfPPPy/zCKekpCA3NxcAcN9992HLli2YNm0aFi9ejI8//hglJSXYvn27uH9NTQ127doFQMjzPXLkCAoKChAbG4sJEyYAAFasWIHIyEjk5uaitbUVH3zwAb799lvs2bMngCPufAIp80DD8TzPd8qZexAfffQR3nrrLcW/bd68GVqtVvy8Y8cO7Nq1CxzHYc6cOZg1a5bTd9ztc/LkSbz77rv49ddfkZiYiBtuuKHXVSsOtMwB4IsvvsDWrVvR1NSEQYMGYfny5b3KcMF45ZVX8PXXXzttT0xMxPPPPy9+bmpqwsaNG/Htt98iNDQUS5cuxZAhQ2Tf8XSf5cuXY/HixZgxY4Z/BtXFCbTML168iDfeeANFRUUwm82YMGEC5s2bB47j/DPALkigZf7zzz9jw4YNqKioQF5eHpYsWSKbx3oDvpT5smXLcPXqVdk2i8WCDRs2eHWcnk6gZe7JPj2dQMrc03P1Fu677z5cvHjRafvkyZNxxx13iJ8rKirw6quvorCwEH379sWdd94pMyKXlpYqFmcbPHgwHn30UQBAa2sr3n//fezfvx+tra1IT0/HLbfcoljMticTSJk7smnTJpw9exbPPvusD0biDCnRBEEQBEEQBEEQBOEhVFiMIAiCIAiCIAiCIDyElGiCIAiCIAiCIAiC8BBSogmCIAiCIAiCIAjCQ0iJJgiCIAiCIAiCIAgPISWaIAiCIAiCIAiCIDyElGiCIAiCIAiCIAiC8BBSogmCIAiCIAiCIAjCQ0iJJgiCIAiCIAiCIAgPISWaIAiCIAiCIAiCIDyElGiCIAiCIAiCIAiC8BBSogmCIAiCIAiCIAjCQ0iJJgiCIAiCIAiCIAgP+f+gtCKNhgWq/wAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "# Get the federal funds rate data\n", "from statsmodels.tsa.regime_switching.tests.test_markov_regression import areturns\n", "\n", "dta_areturns = pd.Series(\n", " areturns, index=pd.date_range(\"2004-05-04\", \"2014-5-03\", freq=\"W\")\n", ")\n", "\n", "# Plot the data\n", "dta_areturns.plot(title=\"Absolute returns, S&P500\", figsize=(12, 3))\n", "\n", "# Fit the model\n", "mod_areturns = sm.tsa.MarkovRegression(\n", " dta_areturns.iloc[1:],\n", " k_regimes=2,\n", " exog=dta_areturns.iloc[:-1],\n", " switching_variance=True,\n", ")\n", "res_areturns = mod_areturns.fit()" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-07-30T06:35:00.562412Z", "iopub.status.busy": "2026-07-30T06:35:00.562199Z", "iopub.status.idle": "2026-07-30T06:35:00.611724Z", "shell.execute_reply": "2026-07-30T06:35:00.610512Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/html": [ "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Markov Switching Model Results
Dep. Variable: y No. Observations: 520
Model: MarkovRegression Log Likelihood -745.798
Date: Thu, 30 Jul 2026 AIC 1507.595
Time: 06:35:00 BIC 1541.626
Sample: 05-16-2004 HQIC 1520.926
- 04-27-2014
Covariance Type: approx
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 0 parameters
coef std err z P>|z| [0.025 0.975]
const 0.7641 0.078 9.761 0.000 0.611 0.918
x1 0.0791 0.030 2.620 0.009 0.020 0.138
sigma2 0.3476 0.061 5.694 0.000 0.228 0.467
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime 1 parameters
coef std err z P>|z| [0.025 0.975]
const 1.9728 0.278 7.086 0.000 1.427 2.518
x1 0.5280 0.086 6.155 0.000 0.360 0.696
sigma2 2.5771 0.405 6.357 0.000 1.783 3.372
\n", "\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
Regime transition parameters
coef std err z P>|z| [0.025 0.975]
p[0->0] 0.7531 0.063 11.871 0.000 0.629 0.877
p[1->0] 0.6825 0.066 10.301 0.000 0.553 0.812


Warnings:
[1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/latex": [ "\\begin{center}\n", "\\begin{tabular}{lclc}\n", "\\toprule\n", "\\textbf{Dep. Variable:} & y & \\textbf{ No. Observations: } & 520 \\\\\n", "\\textbf{Model:} & MarkovRegression & \\textbf{ Log Likelihood } & -745.798 \\\\\n", "\\textbf{Date:} & Thu, 30 Jul 2026 & \\textbf{ AIC } & 1507.595 \\\\\n", "\\textbf{Time:} & 06:35:00 & \\textbf{ BIC } & 1541.626 \\\\\n", "\\textbf{Sample:} & 05-16-2004 & \\textbf{ HQIC } & 1520.926 \\\\\n", "\\textbf{} & - 04-27-2014 & \\textbf{ } & \\\\\n", "\\textbf{Covariance Type:} & approx & \\textbf{ } & \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "\\begin{tabular}{lcccccc}\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & 0.7641 & 0.078 & 9.761 & 0.000 & 0.611 & 0.918 \\\\\n", "\\textbf{x1} & 0.0791 & 0.030 & 2.620 & 0.009 & 0.020 & 0.138 \\\\\n", "\\textbf{sigma2} & 0.3476 & 0.061 & 5.694 & 0.000 & 0.228 & 0.467 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{const} & 1.9728 & 0.278 & 7.086 & 0.000 & 1.427 & 2.518 \\\\\n", "\\textbf{x1} & 0.5280 & 0.086 & 6.155 & 0.000 & 0.360 & 0.696 \\\\\n", "\\textbf{sigma2} & 2.5771 & 0.405 & 6.357 & 0.000 & 1.783 & 3.372 \\\\\n", " & \\textbf{coef} & \\textbf{std err} & \\textbf{z} & \\textbf{P$> |$z$|$} & \\textbf{[0.025} & \\textbf{0.975]} \\\\\n", "\\midrule\n", "\\textbf{p[0-$>$0]} & 0.7531 & 0.063 & 11.871 & 0.000 & 0.629 & 0.877 \\\\\n", "\\textbf{p[1-$>$0]} & 0.6825 & 0.066 & 10.301 & 0.000 & 0.553 & 0.812 \\\\\n", "\\bottomrule\n", "\\end{tabular}\n", "%\\caption{Markov Switching Model Results}\n", "\\end{center}\n", "\n", "Warnings: \\newline\n", " [1] Covariance matrix calculated using numerical (complex-step) differentiation." ], "text/plain": [ "\n", "\"\"\"\n", " Markov Switching Model Results \n", "==============================================================================\n", "Dep. Variable: y No. Observations: 520\n", "Model: MarkovRegression Log Likelihood -745.798\n", "Date: Thu, 30 Jul 2026 AIC 1507.595\n", "Time: 06:35:00 BIC 1541.626\n", "Sample: 05-16-2004 HQIC 1520.926\n", " - 04-27-2014 \n", "Covariance Type: approx \n", " Regime 0 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 0.7641 0.078 9.761 0.000 0.611 0.918\n", "x1 0.0791 0.030 2.620 0.009 0.020 0.138\n", "sigma2 0.3476 0.061 5.694 0.000 0.228 0.467\n", " Regime 1 parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 1.9728 0.278 7.086 0.000 1.427 2.518\n", "x1 0.5280 0.086 6.155 0.000 0.360 0.696\n", "sigma2 2.5771 0.405 6.357 0.000 1.783 3.372\n", " Regime transition parameters \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "p[0->0] 0.7531 0.063 11.871 0.000 0.629 0.877\n", "p[1->0] 0.6825 0.066 10.301 0.000 0.553 0.812\n", "==============================================================================\n", "\n", "Warnings:\n", "[1] Covariance matrix calculated using numerical (complex-step) differentiation.\n", "\"\"\"" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "res_areturns.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The first regime is a low-variance regime and the second regime is a high-variance regime. Below we plot the probabilities of being in the low-variance regime. Between 2008 and 2012 there does not appear to be a clear indication of one regime guiding the economy." ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "execution": { "iopub.execute_input": "2026-07-30T06:35:00.613633Z", "iopub.status.busy": "2026-07-30T06:35:00.613402Z", "iopub.status.idle": "2026-07-30T06:35:01.578292Z", "shell.execute_reply": "2026-07-30T06:35:01.577361Z" }, "jupyter": { "outputs_hidden": false } }, "outputs": [ { "data": { "text/plain": [ "" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" }, { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "res_areturns.smoothed_marginal_probabilities[0].plot(\n", " title=\"Probability of being in a low-variance regime\", figsize=(12, 3)\n", ")" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "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": "3.14.6" } }, "nbformat": 4, "nbformat_minor": 4 }