{ "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# Phat-GARCH #\n", "\n", "The GARCH models explored [here](#garch.ipynb) map the error terms of the financial time-series onto a Gaussian distribution. Here, we will incorporate the Phat distribution into GARCH forecast.\n", "\n", "We have seen evidence that equity price returns are fat-tailed and that the left tail is likely fatter than the right tail (attributed to various phenomena; see [Ding (2011)](references.ipynb).\n", "\n", "GARCH models have thus been adjusted in an attempt to capture this phenomenon by various derivative implementations: differencing of innovations against their absolute value, allowing for variability in the correlated moment, etc. These types of GARCH approaches do not address a key assumption that the innovations themselves are standard normally distributed. \n", "\n", "Other fat-tail distributions have been substituted in GARCH models: [Student's T, skewed Student's T, Extreme Value Distrubtion](references.ipynb), all of which are less ideal than the Pareto in capturing tail properties. The Pareto, of course, is single-tailed so its use has typically been restricted to VaR estimation. Some approaches have used a two-tailed Pareto with a non-parametric normal density estimation in the body.\n", "\n", "The Phat distribution improves upon this technique by introducing a fully continuous double Pareto with estimable statistical properties throughout." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Approach ##\n", "\n", "The generally understood requirement for the distribution of innovations is simply:\n", "\n", "$$E[e^2_{t+1}|F_t]=1$$\n", "\n", "So, to introduce Phat innovations into the GARCH forecast:\n", "\n", "1. Fit a standard ARMA(2,2)-GARCH(1,1) process to S&P 500 index daily returns.\n", "\n", "2. Fit the Phat distribution to the standardized residuals of this process using the Hill Double Bootstrap and `PhatNet`.\n", "\n", "3. Generate an ARMA-GARCH forecast using `Garchcast`, using standarized draws from the Phat distribution found in 2. for the innovations.\n", "\n", "This approach is similar to that used by [Danielsson and Devries (1997)](references.ipynb) and outlined in [this tutorial](https://www.mathworks.com/help/econ/using-extreme-value-theory-and-copulas-to-evaluate-market-risk.html) with the key difference again being the use of a fully-parameterized distribution through the body." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## A Note on Scaling ##\n", "\n", "As shown previously, GARCH models tend to fit daily equity returns best when scaled in percentage terms (i.e. factor of 100x). Meanwhile, the `PhatNet` custom loss function performs appropriately on smaller scales. We have found a 10x factor of the simple returns for the S&P500 index to be an appropriate scale for `PhatNet`.\n", "\n", "***GREAT CARE SHOULD BE USED IN TRANSLATING BETWEEN THE TWO MODELS AND THEIR SCALES***" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Forecasting Time Series with Pareto Hybrids ##\n", "\n", "### Generate ARMA-GARCH Residuals ###\n", "\n", "First, we will download the S&P500 time-series and fit it to an ARMA(2,2) process." ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "tags": [ "hide_input" ] }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "The autoreload extension is already loaded. To reload it, use:\n", " %reload_ext autoreload\n" ] } ], "source": [ "%load_ext autoreload\n", "%autoreload 2\n", "\n", "import seaborn as sns; sns.set(style = 'whitegrid')" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[*********************100%***********************] 1 of 1 completed\n" ] } ], "source": [ "import yfinance as yf\n", "\n", "sp = yf.download('^GSPC')\n", "sp_ret = sp.Close.pct_change().dropna().loc['1950-01-01':]*100" ] }, { "cell_type": "code", "execution_count": 5, "metadata": {}, "outputs": [ { "name": "stderr", "output_type": "stream", "text": [ "/Users/spindicate/.pyenv/versions/3.9.0/envs/testphat9/lib/python3.9/site-packages/statsmodels/tsa/statespace/sarimax.py:966: UserWarning: Non-stationary starting autoregressive parameters found. Using zeros as starting parameters.\n", " warn('Non-stationary starting autoregressive parameters'\n", "/Users/spindicate/.pyenv/versions/3.9.0/envs/testphat9/lib/python3.9/site-packages/statsmodels/tsa/statespace/sarimax.py:978: UserWarning: Non-invertible starting MA parameters found. Using zeros as starting parameters.\n", " warn('Non-invertible starting MA parameters found.'\n" ] } ], "source": [ "import pandas as pd\n", "import pmdarima\n", "\n", "arma22 = pmdarima.ARIMA((2,0,2)).fit(sp_ret)\n", "arma22_resids = pd.Series(arma22.resid(), index=sp_ret.index)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Then, we fit an ARCH(1,1) process to the ARMA process residuals across 7 windows of fixed length." ] }, { "cell_type": "code", "execution_count": 6, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "99296d76c8c54be7a7cf065418f76ad4", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | 0/7 [00:00\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
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PhatFit Results
Dep. Variable: y Log-Likelihood: 14868.
Model: PhatFit AIC: -2.973e+04
Method: Maximum Likelihood BIC: -2.973e+04
Date: Sat, 15 Jan 2022
Time: 18:49:59
No. Observations: 18123
Df Residuals: 18122
Df Model: 0
\n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "\n", " \n", "\n", "
coef std err z P>|z| [0.025 0.975]
const 2.788e-05 0.001 0.045 0.964 -0.001 0.001
x1 0.0363 0.000 98.866 0.000 0.036 0.037
" ], "text/plain": [ "\n", "\"\"\"\n", " PhatFit Results \n", "==============================================================================\n", "Dep. Variable: y Log-Likelihood: 14868.\n", "Model: PhatFit AIC: -2.973e+04\n", "Method: Maximum Likelihood BIC: -2.973e+04\n", "Date: Sat, 15 Jan 2022 \n", "Time: 18:49:59 \n", "No. Observations: 18123 \n", "Df Residuals: 18122 \n", "Df Model: 0 \n", "==============================================================================\n", " coef std err z P>|z| [0.025 0.975]\n", "------------------------------------------------------------------------------\n", "const 2.788e-05 0.001 0.045 0.964 -0.001 0.001\n", "x1 0.0363 0.000 98.866 0.000 0.036 0.037\n", "==============================================================================\n", "\"\"\"" ] }, "execution_count": 10, "metadata": {}, "output_type": "execute_result" } ], "source": [ "mle = ph.Phat.fit(garch_resids.flatten()/10, xil, xir)\n", "mle.summary()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "MLE is accurate with respect to the volatility, however, the mean value is not statistically significant. This results from a scaling issue." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Some More Notes on Scaling ###\n", "\n", "We \"descaled\" our garch residuals in order to fit the Phat distribution. To translate back to the garch residuals, we must rescale by a factor of 10. We found that scaling both `mu` and `std` parameters found in the Garch fit leads to the exact same distribution as scaling a sample of random draw by 10." ] }, { "cell_type": "code", "execution_count": 12, "metadata": {}, "outputs": [], "source": [ "mu, std, l, r = nnet.predicted_params().values[:, 0]\n", "phat1 = ph.Phat(mu, std, l, r)\n", "phat2 = ph.Phat(mu*10, std*10, l, r)\n", "\n", "n = 10000000\n", "rv1 = phat1.rvs(n)*10\n", "rv2 = phat2.rvs(n)" ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "tags": [ "hide_input" ] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "import matplotlib.pyplot as plt\n", "\n", "fig, (ax1,ax2,ax3) = plt.subplots(1,3,figsize=(20,5))\n", "\n", "_, bins, _ = ax1.hist(rv1, bins=100, alpha=.5)\n", "_, _, _ = ax1.hist(rv2, bins=bins, alpha=.5)\n", "ax1.set_xlim(-5,5)\n", "\n", "_, bins, _ = ax2.hist(rv1, bins=100, alpha=.5)\n", "_, _, _ = ax2.hist(rv2, bins=bins, alpha=.5)\n", "\n", "l_crit = 1/np.logspace(2,6,5)\n", "r_crit = 1 - l_crit\n", "\n", "s1_qs, s2_qs = np.quantile(rv1, l_crit), np.quantile(rv2, l_crit)\n", "\n", "txt = 'Quantile Comparison'\n", "i = 0\n", "for crit, s1q, s2q in zip(l_crit, s1_qs, s2_qs):\n", " i += 1\n", " txt += '\\n'\n", " txt += f'{crit:.6f}'.rstrip(\"0\") + ' '*(10-i*2) + f' {s1q:.1f} v {s2q:.1f}'\n", "\n", "ax2.text(.25, .5, txt, transform=ax2.transAxes, bbox=dict(facecolor='w'))\n", "\n", "ax2.set_xlim(s1_qs[3], s1_qs[1])\n", "ax2.set_ylim(0,4000)\n", "\n", "_, bins, _ = ax3.hist(rv1, bins=100, alpha=.5)\n", "_, _, _ = ax3.hist(rv2, bins=bins, alpha=.5)\n", "\n", "s1_qs, s2_qs = np.quantile(rv1, r_crit), np.quantile(rv2, r_crit)\n", "txt = 'Quantile Comparison'\n", "i = 0\n", "for crit, s1q, s2q in zip(r_crit, s1_qs, s2_qs):\n", " i += 1\n", " txt += '\\n'\n", " txt += f'{crit:.6f}'.rstrip(\"0\") + ' '*(10-i*2) + f' {s1q:.1f} v {s2q:.1f}'\n", "\n", "ax3.text(.5, .5, txt, transform=ax3.transAxes, bbox=dict(facecolor='w'))\n", "\n", "ax3.set_xlim(s1_qs[1], s1_qs[3])\n", "ax3.set_ylim(0,4000)\n", "\n", "ax1.set_title('In the Body')\n", "ax2.set_title('Left Tail')\n", "ax3.set_title('Right Tail')\n", "plt.suptitle('Scaled v Unscaled')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can confirm this with the Anderson-Darliing test for k-samples from `scipy`. The null hypothesis is that the two samples come from the same distribution." ] }, { "cell_type": "code", "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "Anderson_ksampResult(statistic=2350120.560339984, critical_values=array([0.325, 1.226, 1.961, 2.718, 3.752, 4.592, 6.546]), significance_level=0.001)" ] }, "execution_count": 14, "metadata": {}, "output_type": "execute_result" } ], "source": [ "import scipy.stats as scist\n", "\n", "import warnings\n", "\n", "with warnings.catch_warnings():\n", " warnings.simplefilter(\"ignore\", category=UserWarning)\n", "\n", " phats_ad = scist.anderson_ksamp((\n", " rv1*10,\n", " rv2\n", " ))\n", "phats_ad" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Per the result, we cannot reject that the two samples come from the same distribution. Thus, for convenience going forward, we will scale the PhatNet `mu` and `std` parameter outputs by 10." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Comparing Fit ###\n", "\n", "We will compare the fit of the residuals to the Phat distribution with that of the Normal by first assessing quantiles." ] }, { "cell_type": "code", "execution_count": 15, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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# ObsActualPhatGaussian
0.000011.0-10.697492-25.081239-4.298209
0.000102.0-8.708911-14.297968-3.752568
0.0010019.0-4.575658-7.804973-3.124053
0.01000182.0-2.635801-3.854028-2.360494
0.99000182.02.2831723.3851242.290214
0.9990019.03.3394696.2801763.053772
0.999902.05.07083110.4126713.682287
0.999991.07.18617116.3771044.227928
\n", "
" ], "text/plain": [ " # Obs Actual Phat Gaussian\n", "0.00001 1.0 -10.697492 -25.081239 -4.298209\n", "0.00010 2.0 -8.708911 -14.297968 -3.752568\n", "0.00100 19.0 -4.575658 -7.804973 -3.124053\n", "0.01000 182.0 -2.635801 -3.854028 -2.360494\n", "0.99000 182.0 2.283172 3.385124 2.290214\n", "0.99900 19.0 3.339469 6.280176 3.053772\n", "0.99990 2.0 5.070831 10.412671 3.682287\n", "0.99999 1.0 7.186171 16.377104 4.227928" ] }, "execution_count": 15, "metadata": {}, "output_type": "execute_result" } ], "source": [ "phat = ph.Phat(mu*10, std*10, l, r)\n", "\n", "norm_params = scist.norm.fit(garch_resids.flatten())\n", "normfit = scist.norm(*norm_params)\n", "\n", "l_crit = 1/np.logspace(2,5,4)\n", "r_crit = 1 - l_crit\n", "\n", "l_act = np.quantile(garch_resids.flatten(), l_crit)\n", "nl_act = [(garch_resids.flatten() < q).sum() for q in l_act]\n", "\n", "df_lcrit = pd.DataFrame([\n", " nl_act,\n", " l_act,\n", " phat.ppf(l_crit), \n", " normfit.ppf(l_crit),\n", "], index=['# Obs', 'Actual', 'Phat', 'Gaussian'], columns=l_crit).T\n", "\n", "r_act = np.quantile(garch_resids.flatten(), r_crit)\n", "nr_act = [(garch_resids.flatten() > q).sum() for q in r_act]\n", "df_rcrit = pd.DataFrame([\n", " nr_act,\n", " r_act,\n", " phat.ppf(r_crit), \n", " normfit.ppf(r_crit),\n", "], index=['# Obs', 'Actual', 'Phat', 'Gaussian'], columns=r_crit).T\n", "\n", "df_crit = pd.concat((df_lcrit[::-1], df_rcrit))\n", "\n", "df_crit" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see the quantile values of the actual observations lie somewhere between the Phat and the Normal. The left tail of the Phat also exhibits better fit, to be expected given it has a larger tail index. The difference between the Phat distribution and actual suggests improvements might be made to rein in the Phat distribution somewhat.\n", "\n", "We can also check the Anderson-Darling k-sample test for both distributions using draws of standardized random variables." ] }, { "cell_type": "code", "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "text/plain": [ "(Anderson_ksampResult(statistic=59.630039694239706, critical_values=array([0.325, 1.226, 1.961, 2.718, 3.752, 4.592, 6.546]), significance_level=0.001),\n", " Anderson_ksampResult(statistic=119.89759627523853, critical_values=array([0.325, 1.226, 1.961, 2.718, 3.752, 4.592, 6.546]), significance_level=0.001))" ] }, "execution_count": 16, "metadata": {}, "output_type": "execute_result" } ], "source": [ "with warnings.catch_warnings():\n", " warnings.simplefilter(\"ignore\", category=UserWarning)\n", " \n", " norm_ad = scist.anderson_ksamp((\n", " garch_resids.flatten(), \n", " normfit.rvs(size=1000000)/normfit.std()\n", " ))\n", " phat_ad = scist.anderson_ksamp((\n", " garch_resids.flatten(),\n", " phat.std_rvs(size=1000000)\n", " ))\n", "\n", "norm_ad, phat_ad" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We cannot reject the null for either distribution (that it is the true distribution), but the `Phat` does have a larger statistic." ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "tags": [ "hide_input" ] }, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax = plt.subplots(1,1, figsize=(12,8))\n", "\n", "plt.hist(sp_ret, bins=100, density=True)\n", "\n", "x = np.linspace(-5, 5, 1000)\n", "ax.plot(\n", " x, normfit.pdf(x), c='C1', lw=5,\n", " label=r'$N$'+f'({normfit.args[0]:.2f},{normfit.args[1]:.2f})')\n", "ax.plot(\n", " x, phat.pdf(x), c='C2', lw=5,\n", " label=r'$Phat$'\n", ")\n", "\n", "ax.set_xlim(-5,5)\n", "\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Consistent with the quantile comparison earlier, the Phat performs better than the Gaussian over the head and tail, but underperforms with respecect to the shoulder." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### Phatcast ###\n", "\n", "Now we have enough to generate an ARMA-GARCH forecast with Phat residuals. We will compare the forecast to the standard Gaussian residuals visually." ] }, { "cell_type": "code", "execution_count": 18, "metadata": {}, "outputs": [], "source": [ "n = 10000\n", "days = 252\n", "\n", "mod = ph.Garchcaster(\n", " arma=arma22,\n", " garch=arch11,\n", " iters=n,\n", " periods=days,\n", ")\n", "res1 = mod.forecast(dist=phat)\n", "res2 = mod.forecast()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below, we compare on a 1-year time horizon (252 days)." ] }, { "cell_type": "code", "execution_count": 19, "metadata": { "scrolled": true, "tags": [ "hide_input" ] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "plt.figure(figsize=(10,6))\n", "plt.plot((res1.vars).T.mean(axis=1), label='Phat Residuals')\n", "plt.plot((res2.vars).T.mean(axis=1), label='N(0,1) Residuals')\n", "\n", "plt.legend()\n", "plt.title('Average Conditional Variance of 1-Year PHAT-GARCH Forecast')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Obviously, for the long-term forecasts, the Phat distribution creates a much more \"natural\" volatility with short, dramatic spikes, whole periods of elevated levels of volatility, and prolonged periods of sustained, declining and low volatility.\n", "\n", "Now, we compare over a 10-year horizon. We show the full spectrum on the left-hand side, then zoom in on the right to show the difference in volatility day-to-day." ] }, { "cell_type": "code", "execution_count": 20, "metadata": {}, "outputs": [], "source": [ "res3 = mod.forecast(dist=phat, periods=days*10)\n", "res4 = mod.forecast(periods=days*10)" ] }, { "cell_type": "code", "execution_count": 21, "metadata": { "tags": [ "hide_input" ] }, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1,2,figsize=(18,6))\n", "\n", "ax1.plot(res3.vars.mean(axis=0), label='Phat Residuals')\n", "ax1.plot(res4.vars.mean(axis=0), label='N(0,1) Residuals')\n", "\n", "ax2.plot(res3.vars.mean(axis=0), label='Phat Residuals')\n", "ax2.plot(res4.vars.mean(axis=0), label='N(0,1) Residuals')\n", "ax2.set_ylim(.75,3)\n", "\n", "ax1.set_xlabel('Days')\n", "ax2.set_xlabel('Days')\n", "ax1.legend()\n", "ax2.legend()\n", "plt.suptitle('Average Conditional Variance of 10-Year PHAT-GARCH Forecast')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Bear in mind, these are averages across 10,000 simulations. We can show the individual volatilities from each simulations as follows:" ] }, { "cell_type": "code", "execution_count": 22, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(2,2,figsize=(18,12))\n", "axs = axs.flatten()\n", "\n", "for i, ax in zip(np.random.randint(0, n, size=axs.size), axs):\n", " ax.plot(res3.vols[i], label='Phat Residuals')\n", " ax.set_title(f'Vol Forecast {i}')\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see from these samples that a more \"natural\" volatility process continues for many periods, well after the standard Gaussian has found a stable range. We can compare these volatility outcomes to the actual conditional volatility found the S&P500 time-series below." ] }, { "cell_type": "code", "execution_count": 23, "metadata": {}, "outputs": [ { "data": { "image/png": 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nn4xzzjkHf/zjH01fu2XLFvTt2xeSJCmPDRw4EG63Gzt27AAA5OfnmwYJAITdVtF+dtEJUte7aNasGWbPng3A/5sYOXKk8r3b+V6FV155BZ07d8bhw4fx4osvorq6Gvfee6+yTlF/we74+6ZNmyqZGmovvPCC8vfDDz+sqTQ/ZcoUtG3bVtOeWG3evBmbNm3CZ599pjzm8XiUAnqbN2/W/I4kSTJ8d2rNmze3rDeitmXLFrRv316T4dG2bVt06NABmzdvVgIF6s8ovg+Px4PNmzejffv2mqBQqHaFsnXrVtx4442axwYOHKhkVQD+7Ax1gLOgoEAZanPeeedh+fLleP7557F9+3Zs2rQJxcXFyu8qnLPOOgvZ2dlYtGgRhg0bhs8++wyDBw9Wto2d9gmnnnoq1q1bh3/+85/Ytm0btmzZgm3btsW91sHIkSNxyy23oLy8HLt378b27duVgBsREdnDQAERUYDo5Ozfv1+5S+12u1FaWoo2bdqgT58+6Nu3r/J60QkTxB0w9Z0wr9eLrKwspTOo1rRpU1RWVuKqq65CdnY2zj//fJx99tnIz89Xxurql21m7ty5AIA//elPymOyLMPn82H+/Pm44oorkJWVZXtsu7qDLair0G/cuBFXX301TjvtNJx88skYPXo0Vq9ebVqx30rz5s3RqVMnzWNmQyqEk08+GYsWLcJ3332H7777Dq+++io++ugjw3h1IBjwUfP5fACCwRd91ohaqG0Vy2c/5phj0Lx5c/z888/KEACn06lsB/2Uina+V6Fdu3bo1KkTOnXqhH//+9/44x//iLvvvhsffvghXC4XsrOzcdxxx+HXX3817TC98cYbKC8vx9/+9jcA/t+A/vsB/HdvxXSh99xzj2bKxjZt2uDAgQOa9sTK6/Xi+uuvt7wbLEmS4bvKysqyHH/fp08fvPnmmzhy5Ighu6KsrAz33HMPHnjgAdPfEOD/HYnfkliXnizLpvuQ2WvtsPo9qz9jqGVPnjwZ77zzDi677DJccMEFuO+++3DffffZXn92djYuvPBCfP7557joooswf/583HvvvRG1T5g5cyYeffRRjBo1Cn/4wx9w5513KsMN4umUU05By5Yt8c0336CoqAhnnHGGaV0QIiKyxkABEVFAq1at0KFDB6xcuVIpKrZq1So4HA707t0bBQUFEVci79q1K9xuN6qqqtCrVy8A/g7hfffdhzvuuAN79+7F9u3bUVhYqFxwi+nA7HTsq6ur8dVXX+GKK64w3I2/8847MWPGDFxxxRXo3Lkzli1bpnl+4sSJKCgoMMw5LzodlZWVSmG3kpIS5fnp06ejV69emDx5svLY/PnzE1p5/O2330aXLl0wbNgwDBs2DEVFRRg6dCg2btxoyAzo1q0bFi5cqOmwrVq1CllZWTjmmGOwadOmkOsKta3cbnfUn93lcuHKK6/EW2+9hZEjRxpmWVDXwbD7vZopKCjAE088gT/96U945513lM78pZdeitdffx233nqrptN0+PBhvPvuu4YMj3BatmxpWZHeLn2HWv/vbt26YceOHZqgw0cffYStW7diwoQJ6NGjB1avXq15z/r165X9V+/0009H8+bNMW3aNKVQpvDhhx+isLAQ7du3R7du3bBr1y7s3btXuXO+Z88e7N69W6k9EkqPHj2wc+dOHDhwQPl9ikwhM2aBBaFr165YtWqV5vtZtWqVrXYAwNSpUzFhwgSMHj0aAFBbW4tdu3ZFtL9ecskluOWWW7B8+XKUlZVpshEiad+0adNw880345577gHgP8bt2LEDvXv3BhB6O4Ri9ju6+OKL8c0332DHjh2azC8iIrKHxQyJiFSuv/56vPLKK1i8eDF+/fVXPPLIIxg1apTtsd16Xbt2xTnnnIMHHngAK1euxNatW3H//fdj7dq16NatG9q0aQO324358+dj586d+Oqrr/D0008DMA6BMPP111+jqqoKN910E3r06KH537XXXotffvkFW7duxdVXX43Nmzfjn//8J4qKijB37lzMmTNHGV+dn5+PzZs3o7S0FN27d0dubi5ef/11FBcX45NPPtEUJmvTpg22bduGlStXori4GG+//TY+/vhjW+2N1t69e/HEE09gxYoVKC4uxsyZM1FQUIAuXbogPz8fgL9Q3ZEjR3DNNdegpKQETz75JLZu3YrFixdj0qRJuPTSS21NtxhqW8X62e+66y506dIFl19+OWbPno0dO3Zgy5YteOONN3DVVVehQ4cO6NChg+3v1cqpp56KSy65BJMnT1aKdF533XU45phjcN111+Hrr79GcXExvv/+e4wZMwaNGjVS6mokk/ju1q1bh8rKSsO/x4wZg0WLFuE///kPduzYgc8//xzPPvus0nm/4YYb8N1332HatGnYvn07XnrpJfz2228h1/fwww/j9ddfx7PPPouNGzdiy5YtmDx5MiZPnoxx48ahWbNmOO2003Dcccfhvvvuw9q1a7FmzRr83//9Hzp37ozBgweH/VyDBw9G165dMW7cOGzcuBGLFy/GG2+8EbJdO3fu1ATkhNtuuw0ff/wx/vvf/6KoqAgffPABZsyYYcg6stKmTRssXrwYO3bswLp163DPPfegrKwsov114MCBaNmyJSZNmoShQ4ciLy8vqva1bt0aP/30E7Zs2YLNmzdj4sSJ2LJli9IW/fdvl9n2GzlyJL777jvs3LnTVl0NIiLSYqCAiEjlxhtvxJVXXokHHngAN998M/r166dU14/Ws88+i969e+Ouu+7C6NGjUVNTg7fffhuNGzdGv379cO+99+LFF1/E8OHD8a9//Qvjxo1D06ZNsW7durDLnjt3LgYNGoSuXbsanrvsssuQl5eHTz75BB07dsR//vMfLF68GCNGjMC//vUvPPXUU0qn5+abb8a//vUvTJgwAQUFBXj66aexaNEiDB8+HF9//TXuvvtuZbnXX389TjvtNNxxxx0YNWoUvv32Wzz66KM4ePBgyNkhYvHXv/4Vf/jDH3Dvvfdi2LBhWLZsGV5//XU0adIEzZs3x+WXX46JEyfilVdeQZs2bfDmm29i3bp1GDlyJCZOnIg//vGPePjhh22tK9S2ivWzZ2dn46233sJNN92EDz74AKNGjcLo0aPxxRdf4Pbbb8enn36Kjh072v5eQxk3bhxcLpcSeMrOzsa0adNw3nnn4bnnnsPw4cPx8MMPo0+fPnj//fdNZwJJtB49euDss8/GmDFjMH36dMO/e/fujVdeeQXz58/H8OHD8dxzz+GOO+5QsiT69euHl19+GdOnT8fIkSOxdetWDB8+POQ6hw4dijfffBMbN27En/70J1x++eX47rvv8I9//EOpRSFJEl577TW0aNEC119/PW666Sa0bdsWb7/9dshhK4LL5cKUKVOULJKnn34aN910k+Xr//jHP+LAgQMYPnw49u/fr3nunHPOwSOPPIJp06bh4osvxocffognn3zSdgbIpEmTUFJSghEjRuCuu+5Cx44dMXr0aFvHF0GSJFxyySVYv369YZaQSNo3YcIESJKEyy67DDfddBPq6upw++23K9kW+u/fLrPt16NHD3Tq1Annn3++7cKIREQUJMmJzBUlIiIiIkoyr9eLIUOG4LnnnsNpp52W6uYQEdU7rFFARERERA3GggUL8MMPP6BRo0Y49dRTU90cIqJ6iYECIiIiImowXn75ZVRWVuLFF1+Ew8FRtkRE0eDQAyIiIiIiIiJSMMxKRERERERERAoGCoiIiIiIiIhIwUABERERERERESkYKCAiIiIiIiIiBQMFRERERERERKRgoICIiIiIiIiIFAwUEBEREREREZGCgQIiIiIiIiIiUjBQQEREREREREQKBgqIiIiIiIiISMFAAREREREREREpGCggIiIiIiIiIgUDBURERERERESkYKCAiIiIiIiIiBQMFBARERERERGRgoECIiIiIiIiIlIwUEBERERERERECgYKiIiIiIiIiEjBQAERERERERERKRgoICIiIiIiIiIFAwVEREREREREpGCggIiIiIiIiIgUDBQQERERERERkYKBAiIiIiIiIiJSMFBAREREaeHZZ5/Fgw8+aHh8165duPbaa3HhhRfizjvvRGVlZQpaR0RElDkYKCAiIqKUW7ZsGWbNmmX63GOPPYZrrrkGX3zxBXr37o3XXnstya0jIiLKLAwUEBERUUqVlpbipZdewh133GF4zu12Y8WKFRg6dCgAYNSoUfjiiy+S3UQiIqKM4krUgn0+HyorK5GVlQVJkhK1GiIionpFlmW43W40atQIDgfj9QDw8MMP495778Xu3bsNzx0+fBgFBQVwufyXLK1atcLevXttL5vXI0REREbhrkcSFiiorKzEpk2bErV4IiKieq1Hjx5o3LhxqpuRch9//DHatWuHwYMHY+bMmYbnZVk2PBZJh5/XI0RERNasrkcSFijIyspSVpydnZ2o1Vhau3YtevfunfT1NiTchrHjNowNt1/suA1jF+9tWFdXh02bNinnyUw3f/587N+/HyNHjkRZWRmqqqrw9NNPY/z48QCAFi1aoKKiAl6vF06nE/v370fr1q1tL5/XI/Uft2FsuP1ix20YO6ttuG1nKZ5+ewXuubI/Xv7fKgDAwJ5tcOdlJya7iWkv2dcjCQsUiGh/dnY2cnJyErWakFK13oaE2zB23Iax4faLHbdh7BKxDZkG7zdt2jTl75kzZ2L58uVKkADwd/RPOukkzJ8/HyNGjMDs2bNx5pln2l4+r0caBm7D2HD7xY7bMHZm21ByZqG00gs4XP7/Aqhxc3tbSeb1iK3BkXPmzMHw4cMxfPhwPPvss3FtGBEREZHehAkT8M033wAAHnnkEUyfPh3Dhg3DypUr8de//jW1jSMiorhS91VlGIecUfKFzSiorq7GU089hS+++AJNmjTB1VdfjaVLl+K0005LRvuIiIgoQ4waNQqjRo0CADz11FPK4x06dMB7772XqmYREVGimMQETErTUAqEzSjwer3w+Xyorq6Gx+OBx+NhKggRERERERHFhQQOx0s3YTMKCgoKcM899+Ciiy5Cbm4uBg0ahAEDBiSjbURERERERNRAMXsgfYUNFPz222+YMWMGvv32WzRu3Bh/+9vfMHXqVNxyyy22VrB27dqYGxmtwsLClK27oeA2jB23YWy4/WLHbRg7bkMiIqIEUtcoYPQgLYQNFCxZsgSDBw9Gy5YtAfjHD3744Ye2AwW9e/dOyVCFwsJCDBw4MOnrbUi4DWPHbRgbbr/YcRvGLt7bsLa2NqVBdCIionTBwoXpK2yNgp49e2Lp0qWoqqqCLMtYuHAh+vTpk4y2ERERERERUQOnrlDAhIL0EDaj4IwzzsD69esxatQoZGVloU+fPrjtttuS0TYiIiIiIiJqoBgUSF9hAwUAcNtttzE4QERERERERHEncdKDtBN26AERERERERFRMjDLID0wUEBEREREREQpI6mqFLDAYXpgoICIKEPtPlCJSe+sgNvjTXVTiIiIKAOZTYXIjIL0wEABEVGG+veM1fjh1134dcuBVDeFiIiIMhlrFKQdBgqIiDKUFKgcxMg9ERERpQuzLANKPgYKiIgyFaP3RERElEIMCaQvBgqIiIiIiIgoZdTTIzJ4kB4YKCAiylBMKCAiIqKUYlQgbTFQQESU4TgWkIiIiFJJggSHuIPBy5K0wEABEVGGkiTmFBAREVHqyKqogMMhiiwzUpAOGCggIspwPB0TERFRSknK/1GaYKCAiCjTMVJAREREKaBOHhBDD3hZkh4YKCAiylBi5AFT/IiIiCiVJAASIwVphYECIqIMJTHFj4iIiFJJFRTgVUl6YaCAiCjDMXBPREREqSRJklJkWeaVSVpgoICIKENx0gMiIiJKJc2sB8qQyBQ1hjQYKCAiynA8IRMREVHK8Q5GWmGggIiIiIiIiJLObNYDSg8MFBARZTymFBAREVHqSBLgCEQKfEx1TAsMFBARZShm+BEREVEqqUMCEi9M0goDBUREGUqpLszAPREREaWQpJq0mdcl6YGBAiKiDMfzMREREaUaEwrSCwMFRESZjpECIiIiSgXNNQgjBemEgQIiogzFyD0RERGlA/U1icyxB2mBgQIiogwnM6WAiIiIUkB9DSKCBYwTpAdXqhtARESpITHFj9LIyy+/jAULFkCSJIwePRo33XST5vnJkydjxowZaNKkCQDgiiuuwLXXXpuKphIRUbxJHHiQbhgoICLKcIzcU6otX74cP/74I+bOnQuPx4Nhw4ZhyJAh6Nq1q/KatWvX4h//+Af69++fwpYSEVE8qa9BJAdDBemEQw+IiDIVz8eUJgYNGoR3330XLpcLBw8ehNfrRX5+vuY1a9euxZQpUzBixAg8/vjjqK2tTVFriYgo3iQADhZPSisMFBARZTpmFFAayMrKwiuvvILhw4dj8ODBaNOmjfJcZWUlevXqhXHjxmHWrFkoLy/Ha6+9lsLWEhFRvIlAgY+pjmmBQw+IiDKUiNuzmCGli7Fjx+LWW2/FHXfcgenTp+PKK68EADRq1AhTpkxRXjdmzBiMHz8e9957r+1lr127Nu7ttauwsDBl624ouA1jw+0XO27D2Jltw807qwEAv/22EXV1/kyxI0cquL0tJHO7MFBARJShpEDknoF7SrWtW7eirq4OvXr1Ql5eHi644AJs3LhReX7Xrl1YunQpRo8eDcA/dZbLFdklTO/evZGTkxPXdttRWFiIgQMHJn29DQm3YWy4/WLHbRg7q23oy9sDLD6IXr164otffgaOVCAvP5/b20S8f4e1tbUhg+hhhx58/PHHGDlypPK/gQMH4vHHH49bA4mIKDU4EpDSRUlJCSZOnIi6ujrU1dXhm2++0VwM5ebm4vnnn0dxcTFkWcYHH3yA888/P4UtJiKieBM3MHw+3sFIB2HD8Zdffjkuv/xyAMDmzZtx11134e677054w4iIKDl4OqZUGzJkCFavXo1LL70UTqcTF1xwAYYPH45bb70VY8eORZ8+ffD444/jzjvvhNvtxoABAwzTJxIRUf2jvgZxOhgoSCcR5e09+uijuPfee9GiRYtEtYeIiJKFKQWURsaOHYuxY8dqHlPXJRg6dCiGDh2a7GYREVESSJL/fwCLGaYL27MeLF26FDU1NbjooosS2R4iIko2npCJiIgoFVSXIBx6kF5sZxR89NFHUaX5scpw/cZtGDtuw9hw+8XOahsePnQIALB9exEaY18ym1Tv8HdIRESUOBIkOAJDD7wMFKQFW4GCuro6rFixApMmTYp4BawyXH9xG8aO2zA23H6xC7UNv91QCOwoQecunTFw4NFJbln9kewqw0RERJnIyYyCtGJr6MHGjRvRuXNn5OfnJ7o9RESUJBJrFBAREVEKyarhj0qNAgYK0oKtQEFxcTHatm2b6LYQEVEyBU7ILFFAREREKSUFaxR4GChIC7aGHgwbNgzDhg1LdFuIiCiJggkFPCETERFR8qmvQESNAo/Hl5rGkIbtWQ+IiKhhYkYBERERpZIEwCEyCrwMFKQDBgqIiDKUxCIFRERElEKyZnpE/38ZKEgPDBQQEWU4ZhQQERFRKklScHpEj5cXJumAgQIioozHEzIRERGlQvAaxMFMx7TCQAERUYbi+ZiIiIjSgSQFixlSemCggIgow3HoAREREaWCWY0CSg8MFBARZSgJPCMTERFReuDQg/TCQAERUYYS52MmFBAREVEqqK9BOPQgvTBQQESU4Tj0gIiIiFJJkiQOPUgzDBQQEWU8RgqIiIgoBTQ1ChgpSCcMFBARZSiekImIiCgdSACcvC5JKwwUEBFlOA49ICIiolSQVSkFvIGRXhgoICLKUDwfExERUVqQAIk907TCr4OIKMMxoYCIiIhSjdMjphcGCoiIiIiIiCjp1MMfGShILwwUEBFlOhYpICIiohSSADgcDBSkEwYKiIgylCgaxDABERERpYTqImRAz9apawcZMFBARJShRNyeCQVERESUSpIk4fQT2+Ock45GQV5WqptDYKCAiChzMcOPiIiIUkjW5TUW5GfBxzsYaYGBAiKiTMcTMhEREaUBhyTB6+N1STpgoICIiIiIiIiSTn+vwumQ4PUyUJAOGCggIspQ4uQsscowERERpcALHxQCAMTMiP5CywwUpAMGCoiIMpQciBRInLeYiIiI0oAkcURkumCggIgoQ/k4BpCIiIjSgPqmBa9O0gMDBUREGUqpKszQPREREaUBiSkFaYOBAiKiDKXECVLbDCIiIspwkuq/vC5JDwwUEBFlKFGjQOYQBEqxl19+GcOGDcPw4cMxbdo0w/MbNmzAZZddhqFDh2LChAnweDwpaCURESUcEwrSBgMFREQZihkFlA6WL1+OH3/8EXPnzsWMGTPw3nvvYdu2bZrX3H///XjooYewYMECyLKM6dOnp6i1RESUEGLWA7DAcrpgoICIKEOJYoaM3FMqDRo0CO+++y5cLhcOHjwIr9eL/Px85fmdO3eipqYG/fr1AwCMGjUKX3zxRYpaS0REiSRqGsq8OEk5BgqIiDKUKGYoM6eAUiwrKwuvvPIKhg8fjsGDB6NNmzbKc/v27UOrVq2Uf7dq1Qp79+5NRTOJiCjBRD4B4wSp50p1A4iIKDWUkzBPxpQGxo4di1tvvRV33HEHpk+fjiuvvBKA+V0l9TRadq1duzbmNkarsLAwZetuKLgNY8PtFztuw9iF2obr1q7D7sYu7NpdrrzW4eAwBL1k/g4ZKCAiylDBjAKi1Nm6dSvq6urQq1cv5OXl4YILLsDGjRuV59u0aYMDBw4o/96/fz9at24d8Xp69+6NnJycuLQ5EoWFhRg4cGDS19uQcBvGhtsvdtyGsbPchh+WAPAfo9sd1QibD20E1pRjwIABcDqZ/K4W799hbW1tyCC6ra2/cOFCjBo1ChdeeCGefPLJuDWOiIhShzUKKB2UlJRg4sSJqKurQ11dHb755hvNhVCHDh2Qk5Oj3EWZPXs2zjzzzFQ1l4iIEkBSihn68dIk9cIGCoqLi/HII4/gtddew6effor169dj8eLFyWgbERElUDBAwNMxpc6QIUMwZMgQXHrppbjsssvQv39/DB8+HLfeeivWrFkDAHjhhRfwzDPP4KKLLkJ1dTVuuOGGFLeaiIgSQilmmNpmkI2hB1999RWGDRuGtm3bAgBeeumllKTuERFRfClDD3gyphQbO3Ysxo4dq3lsypQpyt89e/bEJ598kuxmERFRkknMKUgbYQMFO3bsQFZWFm6++Wbs378fZ599Nv7617/aXgGLB9Vv3Iax4zaMDbdf7Ky2YWlpGQCguLgEhYVlyWxSvcPfIRERUeJJzChIG2EDBV6vFytXrsR7772H/Px8/PnPf8asWbMwatQoWytg8aD6i9swdtyGseH2i12obTi3cBmwuwYdOnTAwIHdk9yy+iPZxYOIiIgyjX42G8YJUi9sjYKjjjoKgwcPRosWLZCbm4tzzz0Xv/76azLaRkRECcRZD4iIiCidiICB2dS4lFxhAwVnn302lixZgvLycni9Xnz//fc44YQTktE2IiJKIDHrwcKVxSluCREREWUyERhQ8goYJ0i5sEMP+vbti1tuuQXXXHMN3G43Tj/9dFx22WXJaBsRESVB8d4jqKnzIDc77CmBiIiIKO5ElqNuBAKlkK2rwtGjR2P06NGJbgsRESWR5mTMyD0RERGliMhyFHhZknphhx4QEVHDxOF/RERElA6CgQLrGgVbiktxsKw6ia3KbMwzJSLKUF5V9J4xAyIiIkoVcUkSaujBvf9cDKdDwuznL0lOozIcMwqIiDKUPs2PiIiIKBVkXY0Cq6xHL69dkoaBAiKiDMVAAREREaUDr37oQeqaQgEMFBARZSgvixQQERFRGhA3L5ShB7xGSTkGCoiIMpQ6o8CsaBARERFRolTVuJW/u7RvAkDkEzCjIB0wUEBERERERERJpb5HkeVy+v8IU6OAkoeBAiKiTMWTMBEREaXYcZ2aK39LIaZHpORioICIiBi5JyIioqQSlx5n9O2gPBZqekRKLgYKiIgylKxKKWCcgIiIiJJKNyUioKpRwAuTlGOggIgoQ2lOwjwjExERURJpJ0T0O1heAwA4UFad9PaQFgMFRETEjAIiIqJ6aO3WA9i441CqmxEbVaSgU1v/7AesUZB6rlQ3gIiIUo/nYyIiovrn76/9AAD49MWRKW5J5MyuPfJzXZbPUXIxo4CIiBi5JyIioqQS1x6SKqVAkjjrQbpgoICIKEPxJExERESppilmGPibVyipx0ABERExxY+IiIhSTmQXyL4UN4QYKCAiylSaSQ8YuyciIqIkEjcp1LMeBDMKeF2SagwUEBERc/yIiIgoqZRggKSuURB4jtclKcdAARFRhuJJmIiIiFJNW6OAxQzTBQMFRETEhAIiIiJKLpOLD2YUpA8GCoiIMlbwLMzIPRERESVTRbUbgL5GQSCjgLcwUo6BAiIiIiIiIkqqx978EQDgU8UERNCAsx6kHgMFREQZSp1EwIQCIiIiSqa9h6oAAD5VpIAZBemDgQIiImKggIiIiFJCPfyRNQrSBwMFREQZSn0SXrJ6Z+oaQkRERBlLO/RAzHqQosaQgoECIiLCzv0VqW4CERFZKKuoxZTZa+DxcuA2NTyaoQeB3imHHqSeK9UNICKiVOFJmNLD5MmT8fnnnwMAhgwZggceeMDw/IwZM9CkSRMAwBVXXIFrr7026e0kSpU356zFop9L0LNzC/yhX4dUN4cornzqoQeB/zKjIPUYKCAiylA8CVM6WLp0KZYsWYJZs2ZBkiTccsst+Oqrr3D++ecrr1m7di3+8Y9/oH///ilsKVHqiDuu6juvRA2FaTFDXqSkHAMFREQEhySFfxFRArRq1QoPPvggsrOzAQDdunXDrl27NK9Zu3YtpkyZguLiYpx88skYN24ccnJyUtFcotRQCryx80QND4sZpicGCoiIMpT6HHx815Ypawdltu7duyt/FxUVYf78+fjoo4+UxyorK9GrVy+MGzcOHTp0wIMPPojXXnsN9957b0TrWbt2bdzaHKnCwsKUrbuhyPRtePjwYQDAtu3b0Rj7In5/pm+/eEj3bZju7QOs21iycxcKC/21knYdqgMAbN6yBc4a80LL9eGzJkoyPzsDBURExLtUlHKbN2/G7bffjnHjxqFz587K440aNcKUKVOUf48ZMwbjx4+POFDQu3fvlGQhFBYWYuDAgUlfb0PCbQgs3lgIFFWhc+fOGDjwmIjey+0Xu7Tehh+WAED6ti/AdBsG2t6mbVsMHNgLANCspBT4Yh+6du2GgX3amb4+3T9rosT7d1hbWxsyiG4rUHDDDTfg4MGDcLn8L3/88cfRt2/f+LSQiIhSQxUb8LKSNqVQYWEhxo4di/Hjx2P48OGa53bt2oWlS5di9OjRAPxBLXE9QpQpxLhtHw/V1ACZ1ShgweXUC3umlWUZ27Ztw6JFi3hiJiJqoLwskEUpsnv3btx111146aWXMHjwYMPzubm5eP7553HKKaegY8eO+OCDDzSFDokyQbCMDI/V1HA4JMAn6wMF/v8y0TH1wvb8t23bBkmScOutt+LgwYO44oorcN111yWjbURElEDqOYo9Xp6RKTWmTp2K2tpaTJo0SXnsqquuwsKFCzF27Fj06dMHjz/+OO6880643W4MGDAAN910UwpbTJR8ouAsY7rUkDgcEnxeWfO7Ds56kKJGkSJsoKC8vByDBw/Go48+ipqaGtxwww3o0qULTj/99GS0j4iIkoBDDyhVJk6ciIkTJxoev/rqq5W/hw4diqFDhyazWURppdbtBcDOEzUs/qCAbJ5RwOyZlAsbKOjfv78yb3F+fj5Gjx6NxYsX2w4UsMpw/cZtGDtuw9hw+8XOahvW1NQiP8eBqlofin4vRmFhaXIbVo/wd0hEqfTdKlH9nZ0najiC2QOqQEHgvzLvX6Rc2EDBypUr4Xa7lXGDkRYRYpXh+ovbMHbchrHh9otdqG2Y88VXOOHYZvhh9S60a9ceAwf2SHLr6odkVxkmIrLCoQfUkDgd/v+aFTNkRkHqOcK94MiRI3juuedQW1uLiooKzJo1i0WEiIgaABmAy+E/DbCYIRFR+uNUttSQiKCAVzYOPQh1WcL9IDnCpgacffbZWL16NS699FL4fD5cc801ylAEIiKq3wJxAnhYo4CIKO2xf0QNiVKkUxUVcNiY9kCW1TOBUKLYGkPw17/+FX/9618T3BQiIkoqWYYkSXA5JXg56wERUdrjnVRqSExnOLCTUZC4JpFK2KEHRETUsDmdDmYUEBHVAz4GCqgBcTqMGQVSsJyh5fsYMEsOBgqIiDKUOM26HJLmJE1ERGmKh2pqQIL1CEymR2SNgpRjoICIKINJEuBwMKOAKF6qaz28iKWEYUyXGhLJpEaBeKxod7nl+3iITQ4GCoiIMpQ40TocvElFFA/7DlfhivHz8NmS7aluCjVYPFqn2pbiUoy4bw7Wbz+Y6qbUe44QGQWzF2+1fB+H4CQHAwVERJlKliFBgiRx6AFRPOw5WAkAWLpmV4pbQg0Vj9Wpt2rTPgDA8nV7UtyS+s8RskZBCNwNkoKBAiKiDCZJ/qmIGJwnip2tC1yiGHgZKEg5l9PffeJ3EbsTurYEAAw/vYvymEPVO7XaxswoSA4GCoiIMpQ4zTokFgYiigsbRbiIYsGMgtQTlfoZKIhd88a5yM5yone3o0yf97J+UkoxUEBElOEkh8ToPFEcKJN6cX+iBGGgIPVEoIBFgBPDIQUzs6y2MXeD5GCggIgoQ4m+jMShB0RxIUkcekCJxbvYqecIDD1g0CZ24bag5TbmRUtSMFBARJTBJEmCQ+IFD1E88RqWEoXZX6nnNCnAR9HTx1dzsp3K39Y1ChLZIhIYKCAiylj+M61D4tADIqL6gJ3T1OPQg/gxG6aVn5ulet7++yj+GCggIspgksShB0TxwpEHlGg8Vqeek7MexFWow6ZVQID7QXIwUEBElKHEidbhYDorUTyI6RF5t4vi7fguLQAAzZvkpLglpMx64E2v/bwhHnesPpEctroBxQMDBUREGU6SJKazEsUR9yaKt9Yt8gFw6EE6cDnF9IjpNfSgvv40QmViMaMgtRgoICLKUOI865CkBnkngijZlAte7k4UZ2LKOKa7p166fheX3j831U2IWLSXHrxmSQ4GCoiIMph/1gPWKCCKC9YooAQRQSgeq1OPNQrizfrAaV3MMEFNIQ0GCoiIMlXgRCuxRgFRXAQTCrg/UXyJu9g8VqcPX5rVKGiIrH7v3A2Sg4ECIqIMJoGzHhDFiySJYoYpbgg1OOK3tf9wdYpbQk9N+wkAMwriIWxQldMjphQDBUREGcony4AEOCQWyCKKJ+5NlChf/rQj1U3IeJ5AJoHHm17FDOsrs2KGxx3THECoWQ8oGRgoICLKUG6PD1kuh3/WA0bnieKH+xNRg8cAexxYbMILB3f2P2059IDbPhkYKCAiylAerw9ZTgdnPSCKQk2dBzV1Hs1jSsG5FLSHGjYeo9OPJ82mR6yvzEoZOsL0UHlzIzkYKCAiykCyLMPj9cHlcsDhYI0Cokis2rgPl/99Hq6eOF/zuATWKCDKFMwoiJ31FgxTvJObPikYKCAiykA+nwxZBlxOBySJ0XmiSDz8xjIAwbHKCk6PSJQxeNqME5MiBVJwChlTvGZJDgYKiIgykKjW7HRIcEgS74wQxRN3J6IGj8NBYme1DcPECRikSRIGCoiIMpyD0yMSRe3n3/ZhxH1zMOK+OfB4OGaZEoPH6PSTjvH1+hi8ME3EUqaaZTHDVGKggIgoA6lPsRx6QBQZdabs1yt+V/4uq6gFYGNucKII8TeVjtLvO0nH4EUoh4/UoqLabXhcyShgiYKUYqCAiCgDiWi8JEmQHJz1gFJr8uTJGD58OIYPH47nnnvO8PyGDRtw2WWXYejQoZgwYQI8Ho/JUpLH6QhGCtR3wySJxQyJMkVa7udp2ShrP6zeZfq4I2xGQcKaRCoMFBARZaLASVaC/4Rc3+5CUMOxdOlSLFmyBLNmzcLs2bOxbt06fPXVV5rX3H///XjooYewYMECyLKM6dOnp6i1fpI6pUD1p7ioZeCN4o0/qfSTjrV90rBJ0Qkz1SyPscnBQAERUQYSp1hJ8l/sbCkuxfyl21PaJspMrVq1woMPPojs7GxkZWWhW7du2LUreJdp586dqKmpQb9+/QAAo0aNwhdffJGi1vqpAwWSKlIgHm8wF+tEZCkdh+w1lA50uFkPGsjHTHsMFBARZaDgxYSE6lp/Gvf7n/+WugZRxurevbsSBCgqKsL8+fMxZMgQ5fl9+/ahVatWyr9btWqFvXv3JruZGg51QoHJlVRDuVgnImvpmFGQfi2KjgjAMqMgtVypbgAREaWOJAEOR+ixgETJsHnzZtx+++0YN24cOnfurDxu9ruUTObdDmft2rWxNE/D5wvObnD40CHl781btgAAqqprUFhYqDyu/puik+nb8ODB4O8smm2R6dsvHvTbsKa2Lu22688//4xsV/reB7baXvrHt/1eBQBYt24dDu7KNrx+/YYNKN1rfDwTJPM3ZztQ8Oyzz+Lw4cOYNGlSIttDRERJIPpekhQszMYwAaVKYWEhxo4di/Hjx2P48OGa59q0aYMDBw4o/96/fz9at24d8Tp69+6NnJycmNsKAFkz96AuUFCxZcuWwHb/RW3Xrt2A7w4iOzsbAwcOBOD/bOJvig63IbB4Y6HyO4t0W3D7xU6zDT8sAQA4na702K6B9gBA3779kJ+blcLGWDP9HQbarn+8LnsXsOQQjj/+eHRp39Tw+p49e6L70c0T2t50FO99uba2NmQQ3VbIadmyZZg1a1bcGkVERKkVDApIzCiglNq9ezfuuusuvPDCC4YgAQB06NABOTk5yl2U2bNn48wzz0x2MzXUGQ0O1d9iH0rHlGSq3/iLSj9e7ucJFKj3YrGNebmSHGEzCkpLS/HSSy/hjjvuwG+/cfwqEVGDoEyPqMoo4JmXUmDq1Kmora3VZCxeddVVWLhwIcaOHYs+ffrghRdewMSJE1FZWYnjjz8eN9xwQwpbrA0U7D1Upfwt9iAGCogavnTcz9OwSVHJCgyf8Hh9ps/zeiU5wgYKHn74Ydx7773YvXt3MtpDRERJECxlyLnfKbUmTpyIiRMnGh6/+uqrlb979uyJTz75JJnNCsmpqma4ZmtwWITYsdKxGjrVc/xJpZ103M8bSgc6y+kPFLg9VoGCZLYmc4UMFHz88cdo164dBg8ejJkzZ0a1gngWD4pUuhUYqY+4DWPHbRgbbr/YmW3DqlovAKC4pBjlZbUAAK/Xx+1tgduF1KxqKfqUoQdJbAwRpUQ6Dj1oKB1olyv6QIHPJ+ON2Wtw0eDO6NSuSSKalzFCBgrmz5+P/fv3Y+TIkSgrK0NVVRWefvppjB8/3vYK4lk8KBIs3BI7bsPYcRvGhtsvdlbbsKyiFpixG8ccfQwO1+wHdu2B5HBwe5tIdvEgSn+Wsy4wo4AShD+p9COnZaAg/doUDTH0wG0x9CDUMfZQeQ3m/bAdy9bsxjuPDE1I+zJFyEDBtGnTlL9nzpyJ5cuXRxQkICKi9Kbu7zSUCwyiRHOEzSjgvkTU0KVjRkFDCVJmZzkBAG535DUKRJChts4T/4ZlmPSdaJOIiJIiOOtBihtCVE9IFpECpZghdyaKM5lFCtJOOgYKGsrPRHT235i9BlU1bsPzdj5mdZ03zq3KPLYDBaNGjdJUJCYiovpL9GP8xQzFYw3kCoMowfYfrjZ9nNMjUjLwWE1WGkqQUhQzPFRegw++MM66Z2cf4HE4dswoICLKQMrdKUmCBE6PSGTXwTLzIAEQDMDxApXiTvWT4qGarDSU34bIKADMMzdCfU6r57aWlGLud1tjbVpGCTs9IhERNUDBOAEgaR4iohAOlddYPqdkFHBnojiTLf4mUmuIgQKzgV6hbmxYDdP560uLAQCXnNktprZlEmYUEBFlIHEalQA4JNYoILLLarouQJVRwJ2JEojZX2Slofw2sgLFDAHzmjAhg7ENYxOkBQYKiIgykHIxIUmWc8ITkVGj3CzL58RUXhx6QPGm7gB++dOOFLaE0llDCVKKGgUAzK9RQg09iH9zMhYDBUREGcw/8oCRAiK7jmqWZ/lc6ZHaJLaEMtW/Z/ya6iYQJZRDlUVgdo0SahaQhpJVkQ4YKCAiykCqhAJmFBBFINT+cviIdf0Coliw60N2NJSMAjWzY24D/JhpiYECIqIMFDzJcugBUSSkEDsMMwooYdKkY7T3UBU2Fx9OdTPIQkPsQDtMjrmhsgaqaz0hl8eMA/sYKCAiykAibc+fUcBIAZFdoXaXWrc3eQ2hjJIud4pve/or/N8/v0t1M9JOda0Hdz+/EBt3HEppO+pbJ/j4Li1w4rFHhXxNpBkF//fPxSGXxxIy9jFQQESUicTQA3DoAVEkzO5uCTKvQClB0qUDyJ84MLhPOwDAMW0bK49t31WGHXuOYMrstalqFoDEZRT4fDKWrdkV99+hncWZ3cwInVEQOmCbLvtSfcBAARFRBlKmR5RCd3yISCtUBg6vPylR0u23lcmdrYI848wnrkCVfm+Stovb48OjU5YZhoEkKvPkix+L8PTbK/D18t/jvuxwlyCSZPy9xRKwyuTfbqQYKCAiymgMEhBFItRFbbqkh1PDk24/rUzOLBDfhWmHM0lf1O97ylH42z7jMJAErf5gmb9Q66Hy5Bds/fibzbjkb3N1j0b/QTP5txspBgqIiDKQ+gKHNQqI7Au1v/y65UASW0KZJN2CUF6vL9VNSDlfGvY4E/U7EUe9RCw9mimaY/mYHCJmHwMFREQZjNMjEkXGwf2FUiTLlT6X7R4GCpJyZ1qWZcxbsg01ukr+VgHLhMWTAquLdyc72mEAsXzOdAu6pbP0OeIQEVHSiPOkJAEO9nyIbGMGDqWCT5bRvHFO9O/3ydj0e/ymNfRm8F1ZMWtQMsa6F/62D/+ZtQZPTvsJkz/+JWyApl6Ov4/ikDrp3RV47/MNUa0ug3+6EWOggIgoA8nBcoZwMlBARJTWZJ+MJgXRBwpmL96K+17+Dmu2xmd4DDMKktPhFNt59eYDWPDjDqzcsBeAdSZgouIEYnhAvBcfyfL0Qz1mL9oS0brEpQ6HzdjnSnUDiIgoBVQZBU4HY8ZEROlMBuBySDimbWM0zs+O+P1bS0oBBIvSxSodx+cnS8hihnGW7XJq/h3uu09YjQIx9CABi7d7q8Lw2SLM7srJdqG61oPautDTJ1IQrw6JiDJQMJ8AcDmZUUBElM5kWYYkSWjSKDuqujIen/8uaryO9x5v5gYKhGQUxcvOSo+uWrCYYZw/cwSL0w93iXQ/yMvx3x+v1tV7IGvp8esjIqKkklVFCpxOngqIIjHguNapbgJlGFkOFJ+FFNVdXW+gYx+vDDKmb2uHHoi73VtKylBV447bOrKztBkFYj1WtVISVqhPSSlIxKLt9fhjzWLJy/Fvy8Lf9sW0nEzCq0MiogykxAngT2clIvseu20wLj+3e6qbQRnEHyiQIEnRpby7vfHOKGCgQNMpV/25fVd53Nbh0gXyw3WW5QR9LYmKE0SSoWDIKIhwXbmBjIJpn62L8J2Zi4ECIqIMJklgRgFRFDj7ASWTT5bhkCQ4pGgzCvw9yHgd7zN51gNBHbBJ1J18fVBIBAqsjj5xHxoQoAw9SGGRAn0WS6SH4NxsluaLFK8OiYgykDjZS5BYo4AoCtxrKJn8NQr8naNoOqWiYx/rLDfByvEMFPhU/VZNckECixyG++4TtuoEHfAiaa/xs0fWKFGjgOxjoICIKAMpp1sJcHDWA6KIhcso+HnjPuw+UJmk1lBDp9QokKSoOqJKxz7GjqQjECnw+DJ36IHY/urvQfN3PNel+7cy9MByesREZRQEpkdM5awHNosZWt38yMl2mj5O1nh1SESUiVTTIzKjgChy4W7MPvLGMtz2zNfJaQw1eGLWA3+NgsjfL2oUeGPs6YnAMjMKQgQHErhpwg49SHQtwzivIJKl2a1RcFqf9qaPZ3GYZcS4xYiIMpgEznpAFBXWKKAkkmV/xyj6jAJ/oCDWyvFi6EImFzMUW1C9KbVBgzh2pnWLshp6cPHpXUI+HwufT8ayNbvjvlwAQCAAZrcdGhbvc6iiuOr3OHlTJGK8OiQiykDq0y1nPSAiSm8yZEgOKVCjIPL3e7zGdPloiEABixnqhx4kaB26SIEY8aHvXGeJaRQT0I4vf9qBzcWl8V9whAxDDyxep/4u1IET/QwSFB63GBFRBlIucCRG2YmikciCZUR6vkBGgUOSouoMeuKUUSDu1uor0Gci9bZMRtBAvU798Sfb5e/SJSKj4HB5jfJ3vBcfy9CDmjpPRO+JtZBnJmKggIgog0kAnKpihuz8ENkTa4eLKCKqGgXRdAZFYc1YO5LBoQcZ/PsPfHT1IUA7A0L8to1+UaLGhH4NWYFAQUKKDao62In41u2O4vL6ZE1n385v0Oo4zWsdexgoICLKQEpCgaRNx8voiz9KqYqKClx88cUoKSkxPDd58mScffbZGDlyJEaOHIkPPvggBS3UStS86URmfLI/myDaGgXKcmJMBAgOPWBGgfp7UM8CUedO3LZROr66n0CWyxl4OP7HJXVHPt61KSKaHtFmcFa9DayGyHDojD2cUJKIKAMFL3Ak5OcGpwxye7zKnQmiZFm9ejUmTpyIoqIi0+fXrl2Lf/zjH+jfv39yGxYC4wSUTP5ZD/yp/7F0cmINcAWHHnAH0AQKPMEO9BNv/YRPXxyZkHUqQw90jycyo8ChihTU1IZP94+UZHOCxGiCU+ohMupN4/H6WLPABm4hIqIMpIQJJKBfj1Y4uk0BAMDt4V0iSr7p06fjkUceQevWrU2fX7t2LaZMmYIRI0bg8ccfR21tbZJbaMShB5RMsuw/Xmc5HTF10mOf9SAwPWIGZxSIzrh6UyYqcKLPHhGBHv3jWQmsUaAunPjV8t+xfVdZ/BaegIwC9TItMwoY6LKFgQIiogx0pLIOQHC6rZFndgOQ2VNeUeo89dRTOOmkk0yfq6ysRK9evTBu3DjMmjUL5eXleO2115LcQqOqBNxZo/rD6/XhwX8twa9b9idlfXKgRoHL6YA7huP0vsNVqKh2R/1+UdKGw9T8RIfdk6TAiVVnOTsr8MUkJKNA+++HXl8a1+Vb1Sh4/cFzNf+OJpPmq592mD7Oax17OPSAiCgDPfzGMgDBOwXiLhEv/ijdNGrUCFOmTFH+PWbMGIwfPx733ntvRMtZu3ZtXNu1/fcDtl9bWFgY13VnonTbhmWVHqzbdhCT3v4J9/2xXcLXV1VdjdJSD+pyHKiuqY16e7w7fwNmLNyI+0e1j+r9dXX+bJ5t24tQ6LK/DzQEYpsfOnRQeWzlykI4HBK2bq00fW2sig9os6eKduxAYfZB7D5cp33d7/4O8eYtW+Cs2RmXdQs7dx7R/Nvt9kT9+fTvq6yqQpZk/XvOckpwB65LNmzYaMiYMHvfocOHlL/f/+I3NHUeRqumWdi/77Dy+KpfVqNxntPw3vogmcdCW4GCl19+GQsWLIAkSRg9ejRuuummRLeLiIiSIRDJF3eJWAmY0s2uXbuwdOlSjB49GoD/N+pyRX6fo3fv3sjJyYlbu97/fjGAmrCvA4CBAwfGbb3pavn6PXhi6k94/7EL0bQgftsZ8F8Yp9s2PFxeA8zZA6fLlZS25X7zDVq0aILmBTnYuLMkonXO/XKZ5t+VNb6o29zo22+xv6wcHTocjYEDu0a1jPpI/RtcuGElsMPfGe8/YABcTgf21RUBPwU7ovH6TTTacQj4Mpi10rGjf7tvLSkFPt+nPH5cj2OBH5aja9euGNgnuiCQleKKrcCq4HADp9MZ1ecz24/zF32LZs3yLZfn/jBY3PbY7t0hfXtAc51i9r5v1ge/HwDo3qMnunVshp+2rwa2+AM6x5/QG62b50f8GVIt3sfC2trakEH0sEMPli9fjh9//BFz587FjBkz8N5772Hbtm1xayAREaWOyPgTmQWME1C6yc3NxfPPP4/i4mLIsowPPvgA559/fqqbhcvP6Z7qJqSVOYu3AgCKdpWnuCXx4/b48PNv+0yfCxb1S1bKub+onMvliLg+wJQF5p8hGk6nmPWAJwsgOBQgYb8D3Wa2KmaYLWY9SMLQg3iuI5JlRfubk3X/BVhjxq6wgYJBgwbh3XffhcvlwsGDB+H1epGfX/8iMEREZBScJlEECnjypPRw6623Ys2aNWjRogUef/xx3Hnnnbjwwgshy3JaZDaedmJ879rVd6KCeCzj59PNu/PX45Epy/Bb0SHL1yRruJYsy5Dg385uT2TrjGdxd1EBP1kBkrSk2vxirHuifgf6U7LXanrErMTNeiDpigjE+zrBqkaBnt3fnKF9Js2NpEbBe59vwJcWtQ4aOlu5e1lZWXjllVfw1ltv4cILL0SbNm1sryDeYwIjkW7j2eojbsPYcRvGhtsvdqG24cbN/vGMRUVVAIA1a9did5OsZDWt3uDvMDkWLlyo/K2uSzB06FAMHTo0FU0im5Q7zQ2oAzk7kCVRXlVneE6MlU7W55UBpZihx+tTihvakZvtQGVNfNrpDNxeTlbxvnQnZgpKVnG8YEZB8mY9MGQUxH0N9uhnZWre2N4QJ/22AsLPejB/6Xb0OLo5jj26GaZ/vQkA0K5lI/Q59iibrW0YbA/yGzt2LG699VbccccdmD59Oq688kpb74v3mEC70nE8W33DbRg7bsPYcPvFznIbBsb9derUGQP7d0SVYyew9BCOP/4EHN2mcZJbmd6SPSaQSM3t8aK2zouC/OyELP/jbzbh9L7t0f6ogpiWIzqQDTEl3WHWIQ98TE+SPq8sy5AcgCsQkCkPzFxjpx5ETlb8AgXBIRcN73uORp3bv10TFTDSd3LF/qWPB4ihB4noxUsOfUZBnJdvM+BV5/FpVt7uqEa23ifeos40CBfY+feMXwEAn744Unns6xW/Z1ygIGwy0tatW7FhwwYAQF5eHi644AJs3Lgx4Q0jIqLEExF6KXA2SMTdCCKK3kOvL8PVD32ekGUfPlKDd+dvwMOvLwv/4jDE0IOG2IEMESdI2lhnnwxl6AEAXPfIF7jukS9svTc3y2ZudwQaYkDILvUnd3u8AJI3BMXqHJ3IjIJEDj2IZFkHS6uh/tlZ7Xt2lhjN79cVzzE89UTYT1xSUoKJEyeirq4OdXV1+Oabb3iHj4iogRBRdRYzJIrcf58chjP6JrZWwbpt/qnYqmrcCVtHbZ035mU0xBoFggRjRzvp9VwCQw1crsg7K9lRvCdEMwA0rCEmsUj00ANDjQKvyCjQPiEyPRLxu0zk0INIlvX2vPWaf9sNiphtk1Dfl1UAQmTzZJKwR44hQ4ZgyJAhuPTSS3HZZZehf//+GD58eDLaRkRECeYJXOSICwEWMySyryAvC+NuODkp65r57Za4L1N0gONxF7Ih1ihQmGUUJPlQ6ZMDsx5EcVfTbrG4SCTrDnq6q1MyCpJUo0A2n/VAfMeJ+FaMGQXxXn5077PM5glfyzBk5pPVrCJZYnhHklRWu7H7QGVS16lnq0bB2LFjMXbs2ES3hYiIkswdOFmKCwGzE6/P5x8l6dTfViCipPHJMsoqarFtZxn6H9c6LstUOhdxuPAXHdhkjdlPtWQP0/IXL0z9XU05yUUc05E6oK7UKEjS715sd1m3+R0JnLnIOD1iPIceRP9eu/U09dsKCB3Y0RdNFJK97z0w+Xv8vueIpk5CsmXeYAsiIlKIk6VykWHymhsfX4AbH1uQxFYR1S+v3HcWmtkoKherR6Ysw8NvLFPGRcdPHDIKHInPKNi1vwIj7puDnzfuS9g6zGSZpe4nf+SBMuuBXXO/34prHvrc9I7tvS8twve/7Iy8HYH/ZkpAKBylRoGucxmvzrR+OWKzPzD5e9PXJ2IyioRnFJil7Nhgd+YNURBS3e5QgR3rQEFyu82/7zkCAPhsybakrleNgQIiogwWrFHg/7fZxc3hI7UorahNZrOI6pUu7ZviotM6J3Qdshy8cIxXHy2etUnE2PlEpqSv334IALD455KErcOM2awHqcsosH/pPmX2WhypqjPthm0pKcPz76+MoiH+/2RyRoFaXaBTqf89JKrIpdfnM112IjMKElnMMJaIW53bPGCqnyni59+MgcVQ+69loCCOtT4i8fqsNSlZL8BAARFRRuvavikAFjMkitWxHZuluglRi8du73KIQEHiOpCOFM3OkqyZDUKxyiioqfWEf7PFDdto7pCKThhnPfATnUr9TzJev1H9Usor6jDy/rmG14kaIYnI9EhkMUMAlr/PcKwCBXr/+3oTdu6v0DwWap+2ChSYTpPawDFQQESUwQad0BZAMKOA0yMSRWdAz/jUDbAiy3JwPvA4dQaUO4P1pJihEtBM8s1ss+Ni0jMK4M8ocOh6bbvsFDuzaKrb48P0rzdF1o7AskIFhL5YVoSNOw5FtNz6RoxXd6s6q+p+ZNwCKbrFLLLIphGF9iIdlvTD6l147M0fQ75Gn1EQzzsKsSyq1m3+GzRb5h2TvtFkQoQKFGzfVWb6eCYGxxgoICLKQA6HhLMHdlT+LS4EKqsTNwUbUUPmdEi47Oxj0bQgO+Hrincn1e7S9h2qwqxF5rMvOAO3+xN5Ma0ECpJcIMC0U5HsWQ98/juaTl1BtXv+sSjse0M19b3PN0TUDrGsUFXj//XJavztFfMx9A2CHOyY1ykZBbKmQ53MLJSWTXOVwIXHE9l6J727Ais37A35Gv0S4/3Ror1PbzejwEyoQ+gz76xQ/l6yOljHIxOH2zBQQEQUhZUb9mL24q2pbkbUGuW6kJ+bpfxbFOs6XM5aBETRkCQJN158ArolaAiC+sI20gt1n0/GktU7DZ34YEKBvQU+/MYyvPXpOhwqrzE853L5L/d/K0rcnWTRoUj+1IRpkFEgy5AQ3ewz8R1SLoYeZF6nSS07y3/OdFt0VuOXUBB+QW1bNgpmFHjjXeg0sdMmx7Jot8e8XoMddt+3+fdS5e9kZxQku3iimdS3gIioHnrszR8xde7aVDcjav7xrsF/t2ySCwCGu1VEFJlE7UE+WVbSvSO9cF+2djeefXclZizcbLFse8sRGUdmnzEv2z/jdm0Md/nCSWTBtlDMVpfsYIUMQHJISi2ISN8bz3YAiS1aWR/oMwoAaH4UycwoUE+bGWlGgRCqvY3ysiyfiwfD0IYI1EU5A4zX5g6snvEkkfVXzORkpb6bnvoWEBFR0unTJMW413Qo2kVERsvW7Fb+jnQ/FXc9d+wu1zxuNm1YKOKOmtmFvXiseSDomAhS4Ko16RkFJts7+cEKf0aBI5pgbhybKj52JqZhCzJkpQOpLnyXp8rSi9e51M7PzCFJSqHLaKdOTV19otjWG20Gk93vRx0osHqPv35M/LdfTrYz7suMFAMFREQZSIY2o0DcqWOggCg97T1Upfwd6TVpMC1Z17kTy7G5QNGZMLsoFkGHRB5DxHzrye7UmKUcJ/tIKYK7UQ09iGukwP+fTCzspia+h+A+AeRlO3HTxcdrHo+ZjcWIc3mWS4o60yOV5/5Qv+izBnQM8Szwn5m/Gh6z6rRrhm/ZDhQEO+tWv/lL/jYXj0/9ydbyIpGT5Yr7MiPFQAERUYaRZRlVNR7lohtQZRRw1gOimMSSRmtXpHevxF0xfeqsWIrdPoJYb6hOYkIDBZK2HXo7dpfj8BFj/YRYmQZGkj30IDBczE6goKbOgxH3zdG8N27tCPxqrNKwMyWAIPZzUdRRhv8LEmn6yex4i0C/y+mMOqMg5PeWwI8S62+z2mJ60HC7id1jqDqjINQ2ClcQMhrMKCAioqSb98N2AEDxviPKY3aGHmTKBSBRPCWiwxBpQE8UxfLo5gcXF8uRjr0NNQtAIoONyqwHFqu4+4VvcctTX8d9vb/vPWJ4LNlDD3yy//M7bRQ4K6uo0/w7XFMj+SzK0AOL33UmZKWJoI3DIWl+75IU/+w8O9kgUuD8HU1GgTI1so32JiwGGsNyLQMFJpECGbISQLB7nMpW1QlI9nCbnKxgoODpt5fjSFVdiFcnBgMFREQZ5tctBwAAO/dVKI/ZubiJ9k4FUSa5+/K+mn/XRVlcLJRI+6hiRgLD0IMIiY662UW2kp2QwI6iQ8kosH5NLFOmWfngi98sOyRJI/s7OdENPQgtmq/MqtOU7ABKqkjwnzfF71187FRk5ykZBa7IMwrEe0PdCBDfaSKypcJtpXCbsdZt/B3KcvBzqVVUuSOqx+R0SLYzCgDroEW01BkFy9bsxqffb4vr8u1goIAohLKKWvzpsQXYvqss1U0hipuswB0p9YWeOHmGqgSsvxtJREYtm+bhivN6KP+uMbmQjZXPJ8Pnk3GgtNrW68UwI2NGQWTrdYS4+yiWldChBykcIlWj6wQk+865klFgI1Cgf0W4zRXJZwlmoVhkFGRIoAAIZBSotp2E+BcGtlvMEACynJFnFETS3ihiVOHJ0AyDjFSjXPNx/GYZBT+t22Prpsjl53YHALRvVaCpURBuG8V7VoTsLO3Qg1TsWwwUEIVQ+Ns+HCqvwcxFW1LdFKK4cYnxyqqTXvBiwfp9mT4dFpFd6rtZte7EDD348MvfcNMTX2Lf4aqwr7caVx7pdadk4+5jQoceBP6birvW+mwMdQu+/GkHPluS2Lt9/mKGNudWN/SRQm+viIYeBP7rtThZZEqcwB+0Mf7e7dyhj4SdpQSLGUaRUSBuEoQ4+Ys2JKr+ip3Fqu/sqw09tbPp41YBNTEFdKivRx08Ue9v4b5Tb5yvkbJ10yOmYt9ioIAoBOVgwQ4SNSAus4wCG+MUM+lOEVEs1HezzFJjY+X1ySj8bR8AoPRIre33ufUZBRFWKRMX3+Z3zsIXOtR7//MN2FpSavv1So0C2++IH6v6DgDw6vRf8PqsNQldvwz/5ze7U6qnP47HN6PA/1+rTlGmDD0A/EGB2Yu3YvXm/f7Prfp+kjr0wCGKGUqGfTzsewP7VJ3bh8en/hgygzYxCQX2ttNRzfIMj2W5HJa/N6v9xBFi+JSeLxCcE0IFU+w8b+a9zzdoCo+q6TMtUrFvMVBAFIJTRIYz6MRHDZ9ZBXQ7FzeZUKSKKB4cqqurRBQB9Xh9qnHD4V8vdmtDBz/Cpokxs7V1xruWYh12T5c+n4z/fb0Jf31pse31F+0u968jBcciQ0ZBkpsgyzIkAE6H9tL9qKa5htfqj+Pqf3Xr2DTs68O0BIA2I03bzggWVU+JfU+cNyf+ZymAxAw9sLOPis6v0+mI+Hgj2rt1ZylWrN+Ll/+3ytiEwCKlhIw9QMgIRKM8/9CCvGzjEAOnQ7L8vJaBAjvfj0XBznAZA9Ec66d/vQkAUGtSW0UfRGFGAVG6iaAaLFF9IQIF6pOe08bJk/sBkT0uVWcuEbuNx+MLXrzbihT4/+OOMTtOVOE2K9oVaY2CSFty+EgN3pm3XrOuZDJkY1g0oqrGnZCCirIsMgq0j7dvVWB4baiMArPOTiS/0WBGQeYWM1TPeqA8FvhvvGc9sEO0w6mrmWDrvbqZROQQN8UTEScI93O58eITMGbECTjtxHbG9lh8Xlm2HnoQSSDH55ODRSql8IGAWL7ze00Cpvptw4wCojTz3y9/AwAcLLNXMIqoPlCmSlPXKLCRjsfpEYnsUY+nTcS1ndcnB+9qRjBuuKyiVtOJjbRpuYG7ejUmGQWC7YvlCDeMOjiRimFQhqEHJq/x+mRcOWE+7n/l+4S1Q59RYLYt9MdqTaDAJD06qukRLYsZ2l5UvSWCNnqSalaKeP1GbU2PGGiKK4qMAn2H2rzd1svcd7gKI+6bgzVbD0S0XrVQR7C8HBf+eNaxphkCITMKLI6Ldq51xDM+1b7idDrCHttiCRQUm0zBql9epMNK4oGBAqIQivf6p487UFqT4pYQxY8IFKhPQnai7KxRQGSPNlCQqKEH/r/tJRT4X1xb58XfX1sSddvE0IOaOrNpwESNAnsXs5FuFfV43XDNTkRQs05XJM7szmtltRsAsC2GmZIOldcYbk6oh5noO0xmx2z9Y+pjt2lGQUTbKzD0IIMzCnyBqSo1wSNx51kpDhinQIGdoQeBdTockmWmhxXl+GGRbq97teGRddsOAgAWLNsR0XoFu1tJH9B45s+nw+kwD4zIkDWzFaiJbfXu/A1h1+n2yEoL/UGJcDUK4vvb13/3ZsMTEo2BAiIb4j3lCVEqiTnV1ULNjy5w6AGRPdFmFCz4cQd27a8I+zqvV1b21bEvLgr7enUbNv1eaqstm34/bEihF9N1mWUUBIce2Fp8FDMuqN4bpnsRaWfJDv1nNmtDPIYc/OmxBbjx8S+16xJBIZjcAbYRKDhSFWxXs8Y5xtdHk1FgcT7IhICyT5bhcEiGoTwSJGX64WROJ6zUKAhxh93yvTZ+T6GCkvOWbA+8Jvrv3c7wKfVrXE4JvbsdFTIwkp9nrGmQl+PSDhexaHNwClCv8tnt1H+Id6BAvy+Z1YZJtAYTKCivrEtJSgZlhkRcdFDkKqvdaXe3oj52nl36Qa4q23eWWz5XHz8rUSq4VHezig/U2XrPzG+3YPLHv2ju+FtRFzOMhdUiDpZV476Xv8Or03/RPK5kFJjVKAj8135HMfr2r916MOTziQju19ZqL9LN6jSYZ1rEkSTZShXXd1hqAlN0TrrrDDz4p5MNr49o1gOxDqttnAGnCdknQ5IkeFRZJuJrUAp+JvHur+hDW91hD0V0nEXgK9Rxxaw7v/H3w4H3R8nm8UI9TaGoleJ0ShEX4lQPSQg1hArQpvq7nFL4YoZxPu7ovwuzY06iNZhAwbUPf45n312R6mZQAxVrASiKXVlFLa6aOB//C1SITRf1MdtEzCNsZvn6PdhpcUczE+4UEcWDOqPg+3VHlGr9oUz7bB0A7V0jq6nKPF6f7Tv3gPVFvNWdeXEBvSnQCRByQmQUCHY7KpFnFNivxZCIoQf6IMCTby03vOZIpTvu6wW031+4O8C79ldYZjac0LUlmjc2mSUhktNYYHV1Hh92H6g0LivEFzvp3RV47/PwKd/pTpb9d/HVm16GDEihZwZJlOCsBxKqaz1we8zX/fmyIsOwluCYfQT+a5bKHxBiH4zk+sDj9WHu91sj6liL7QoAz489E4A/g2LfIWMNMdGUqy84TvN4da0Xew9VadoRup3BzK0sl9NyuwqJHnrw07o9cV2+HQ0mUACkZgNSZmBGQeqVV/rvyi0qLE5xS7TqY6BAXOyfe/LRps8fKDUv3slihkT2ZLu0l1dlR2ptv7eyxt8h9Xh9lsMKPF45sowC60iBKdEf0K9CdCrMzomiPYma9SASdtO+q2rcpkXEzOiDI2bH/gOJKnysqlGgzyhQH5crq924fdI3plPchV58JBkFwdc+//5Kq6aa+mH1LmU6uPrMJ8umfWYJ8c8osPPdqGsU7D5QiTFPfmV4zaHyGrz2yWo8/uZPpu+NeP/VtSuS6+RPv9+GKbPX4s05a20fB8R1CwAc3aYxAGDPwSqs2XoAK9Yb+38SgGuG9sTAnq0tl2nns4qsgiyXI2zmeryzLs2CL6u2GoNzidSgAgVEicIOUuqJk0Rdmg0xqo9DnsSFwXUX9jJ93ir4waEHRPao02QBe5XL9ULtb16fL+I78masFqEEBHQrEZ8jVIDU7p3FSIdO6F8f6v0em1mAj075EX9+bqGt19oZVvDce9qOsyzLGHHfHEydu9bWOsKRYMwoUH9W0cY9B6sQiWhqFADmN5gzIfPMdNYDMfTARtZNROuy8Rqxv4phhaUmgUmxv5RWaJ/TB/9CHXfUn1h/DCjZF762inCwzF8g/LMf/PUN7CQLqTMK9DYXl9peNwDcdmkfANbX9uqfcJ3b/zmzbQQKzJZXU+fBu/PXR1W/xOwYN+enwyavTBwGCoioXhAXR253enXM62NGQbhq6ZlcpIooXYS6YFenxNphFaiw6mwH51bXd879/zWtNC5Sl21Pj2jvZYKhkn+YQIodG4oOBV4fvjHRpJKLbTJ78daI36tZjupvfQdVfQ6qqIpu6ENkv6Ug/VSNQGKmA003/lkPzKdHFFOIJnPogVKjIMSwQkG/T+tnaTDdFZRrhuDy9Z8v22KWATPq/dPu7yU7y3r5pssIEX0Qy7JzrBId/KwsZ9gbVWbLm7VoKz7+ZjPmBYIiVsymf0yHfYmBAqIQjmqWBwAoyMtKcUtIHDBTMT1MKPUxoyDcucfq9MqMAqLkUXfemusq1Xu9Ptv97CvGz8PLH5mnoltdiIoOgezTBwr8/w7VsbadUWDrVdbLDXU4shvAFX0Jq7HH6r5GNHeIYzli7jkYTDFWPrrJwVn9WT/+ZnNU64ro2K76Hsw7Nw3/POHzydDHSMSnDg49iFPhuTCb0+WUcOHgzgCMw1LUlH1a97h4j8hMsbv/6q/FPBEUutAfPyTLq46gnBCBgkj9vsdfM+bXLftNn1f/hsWxIdvlCDukySxAKfZP/fSqADRDJsy2gE+WkRsikyIZGCggCmHEGV0BAP2Psx7jRMkh7oiFKyaTbP/6eHX960Ar413NT85Wj9e7z0mUIlmu2C+v1PubCFoLkdQoqK714HAENRKAYAf5QCBFWBBrNBuPvHrz/sBziRp6oP13qA6N3TaIqeysAr7aFOQozj0xdJpvffpr9YIAmHeo1J0Xs8wR/W8HAMbfOEhJvwbsb69gS/zM7qpnQJwAsiwbzpP+/VWCy+mA0yElJaPgqGZ5mPXcJejSvikA88CNIPY3Q0aBbuiB2X4pflennNBWeUz/+SKpUaC5lrD5gwk19EAfGAx3bPl1ywEAwI9rw9e2E8eG7CiLGVrVewGAd+atV/5u2zLf8LzPJ6NJo+ywbUwkBgqIbLCbxkiJIy6G7I49TZZfNu9H8T57xbDSRYibU/7HLZ7g0ANKpIqKClx88cUoKSkxPLdhwwZcdtllGDp0KCZMmACPJ/nTREXihK4t8afhxyv/jmbXKasMTqvYtECbUeDx+gx3+6NhtU9bttdi6MHm4sPKxXc0d5TtvMeQURByaIa9c7YI6JgFAfRtiuT453SY372NldmxWZ0ObdbEvBxjB2twn3Y47cR2qmXY79Sq12E20656u9XHoXl2iFkP1NSfNSfbGbdAQah944Wxf9D8O1RGgbiM1V/Oiu9QySgIsV9dOqQb/nJFPwBmxT3t/9rV65Bhs0aBSUbBpLvOAGDeyQ61SLEvV9eEP4+I/csVZY0CZVYJk+fUQ3eshnOFCpAkQ4MIFGRCmhOliv+3tfTX3SluB70+a02qm2DJ7K5KOguVxup/mBkFlFyrV6/G1VdfjaKiItPn77//fjz00ENYsGABZFnG9OnTk9vACEmShNHndA/7umVrduN/X28EABzTtrHmuZc+/Fn5W5+h4PX6NKn3Yt+cv3Q7Dh/RZgGEot6ntRfvoeuU6O9AV6kuuO12DtWXbr9sMk8Btmqr2b/V7AcK/BfhZh0A/eL16xsQItOwdXN/x0X9GWO5Vg31VnWQw2yb5ATGzOvlqh6PqFOrHnpgcu5TB1TiVdAv3ZjNevDTuj3KY7nZzvjNemDxeNOCbLRsqs0WcTqtu3XB70W7RPH7EIUwzXYr9TWDyFBZtkZ7XRxJUChU5oMVs0BB+6MaATB2stX/MsuQFL/bXzaHP+6I/Ss7ywG31xdyPzbLzBHrNws0OlQ1JcwCBT5ZVo5RqVKvAgWyLONgWbVm3Jb/8RQ1iBo89ovSh7hblS7UkftoTnopJYYe6AICE28aFPJtnP2DEmX69Ol45JFH0Lq1sfO1c+dO1NTUoF+/fgCAUaNG4YsvvkhyCxPj6beX4/3PfwMA9OrcQnl8/Gs/YOPvh5V/6691K6vdUF8O+2QZew5W4t8zfsUzb6+wvX71Pq3Zv8NkFOjHI6sLmdntdKpXUV0b/s6e/lovHrMeuCwyCmRZVtp0xXk9kJvtNBz/mhRYpwSLTpe6jZf8bS4qquqs3hJSqE/j9viUAIFZZ8RqjLP68Ug6tZqhB2EKsNXamCmiPjIbegAE99OcLFfchx6Mu+Ek9OvRSvm3WXArVEaBMv2h7icianAdCWQwhRpCICHYYf/oq42a5yIJFPTu2hIA0K5lI9t9OLPhXOIxs20hvosLT+1keO6WS3qHXJe6TeqhB7Ic+thiFqhzhBh6oP6+zIIMsiwrw6NSpV4FCuYvLcKNj3+pG7eV2Ll4KbOpT/LsJKVWuvXF1ZH7epZQoNC3u1mgYJpVii0zCihRnnrqKZx00kmmz+3btw+tWgUvkFu1aoW9e/cmq2lxYWfPUe92a7ZqA6P6rLYPv9yIQ+XBugNeX7Djsr+02na7NBkFqgaEiRMYLmpfn/2r8nedx2dvvLKN9anpj0s791tPx2Z3uGC2CBToOhqLV+3E1RPnA/B3jJo1zjEOfQjRYRB30vWv0H+vkbKqHyOGDph1Nqw6j+pz2KNTfsT67QdttUG9GXJzjNkK6u2UbsWH48VnMvRALSeeGQWBzdmuZSO0aJKrPB5poEDs6/oAmwiWHQnMmGGaBaJ6i1UqfFmF/SCYOOwU5PuDFFa/azWzbAlXiECBcErvdvjwiYs0j7VoGtyO5jUZgpRZDwLr2nuo0vB6wewaSSkiabIeTaDA5Jjlk4G8XP8+lmeyryWDrbVOnjwZn3/+OQBgyJAheOCBBxLaKCtLf92l/F3r9uKZt5dDkiQ8cL35xQVRPHm8PjgdqU0BymTpdtfe5ZRQJ2aiqmf9Z6vmhkqRAxgooNQwu8Cyc2Gpt3ZtfOayj8RJ3Rth5eZKbN2yGXJFseXrCgsLsX+/f6q+xnlOHKmOrJNRWPgz6jz+7VRVXYvCwkL/37XmF9ArVq6EQ5JQfKBWs4ycLP/F8OEKj+rxQuXvQ4f8bTxw8JDyeK3bh60lZZrlL1teiLxs7YX9Jz8cRLsW2Ti9V2ND27Zt3Ypcd+ghfuvXb9D8e826Dag4kGv+2g0b4S77PeTyAMDj9n/+tWvXo2xvsA7EouXBbI5du3Ziz8EqHCqrxlnHBd+7/+Ahy+XW1HmwcuVKuHUd9y1btiK7zv5Qxu+XLkd+TnBatp07S1BYWI6hA5piwc/Bbb58xc/Iz3Hg0OFSwzIqKoI1dNTfpd6nC1ejul/TsG2qc9fh+GPysP73avhqyw3L3FsanKLx11/XYndT46xRodqRzkS7KyurkCUZC4TW1NSgsLAQnroa7DtQG5fPubXYH/jb8NsGHDoUDI65PT7D8vftC/4m9M/tL/N/Lx6PV3luz+E6/LB6HwCgZM9+y/du21EFAFi/fr3m8cLCQjTKdaCyxmf6PjOFhYXYtt3f2a6srESd24sDBw6EfW+tamps8VpxTfL77/79QigrK0NNXXD7uD3a/XD9+nXK3ytWFhoCLHv3lip/79nr3y6lh/2BtDufXYhrhrREjw7GIqFbtm5Dvk9bIHHXLn+7du3eg8JCbRC3qjIYdKitcxu2QWVFJRxeJx69piN+WH8EX/3i/35XrlwZ1TkwGmEDBUuXLsWSJUswa9YsSJKEW265BV999RXOP//8ZLRPQz2eaumvu1D4m//H/fXy8CcDomior089Hl9cp2ehyKTbXXuXM3QRmnRmNae3CMboi6Q5JH9km8UMKRXatGmDAweCd2L3799vOkQhnN69eyMnJyf8C+Mot/lBrNy8BN27d0e/HiZt/tBfuHHgwIH4fvPPwLYquFwuAJEFCk7s2w9utxeYtRsyJAwcOBAA8FvRIQC7DK8/6D4KFw7ujNxtB4Ev9yvLEGnIew5WAnP3KG0Tvlq3Avi9Gk2aNFUer6pxAx9r13Fcz95o1Vx7If3oh3Owdkc1xl53FgCgvLIOmOF/X9eu3TCwb3vLz1dYWIiePXsCC/Ypj53Qqxd6dWmhfWFge3Y4ugsG9utguTyhyXeLsK+sDF2P7Y4Tjw1mrWzYvwGFWzYBADp27AisXo86j6zZFp+v/gmAefaGLAN9+vb3H0unB7dNuM+p/gwAsPVQI9x48QmoqfUA03ehY4eOGDiwO5q2LsWCnxcrr5vy5SF0aF2A/EYFALQ1Kpo3awbs3osTjz1K0379utq2bYuBA49HOFmf7sfR7Vtjx/5dOKpVawwc2Efz/PZdZcB8f8ZPr17Ho1O7Job1GdoRgxc/LESd24u//yn00LlYFRYWKu3OXbgQLZoXACXaoE9ubh4GDhyImct/gMfri8vnrMveBXx/EMf3Oh47y3fgl23blef0y9944DdgnX9IQPeefTQV83/fUw7M2wun06G87+vlOwD49ynJlQeg1nS5lY4S4IdDOOGEE/wZBfO+Ul7nmrsPQB1aNs0N+3nFNtxWugnAYTRq1Ag1nmq0anUUBg7sF/K9bo9XOc6o1+P43060atMWAwf2Uh6bW7gMrmq38jqP1wdM3wkA6NaxKU7s0wf4zP8bPfHEfobMmF92rgU2+IMyBU2aAahGh/ZtsWKz/9rpw8UHcdnZx+LGi0/wvyHwuz6mUycMHHiMZllFZZuB1evRpnUbDBx4gua52SuXAvv8x9+aOhk/l2Tj1pHB/Slv0SI0b+7/TRVXbAECgYL+/QeErEcRidra2pBB9LBradWqFR588EFkZ2cjKysL3bp1w65dxpNOMjhVRR/UKT/17SKd6g91QaeGWr23/kivSIFLdTyqb3fa9x7y3x3QR6QdFhkFSqYBdwFKgQ4dOiAnJ0e52zJ79myceeaZKW6VPeJOlZ3rFLHbRXNN4/MFz1bVtV7sPmCdHgsAFdX+u4vqfV09XMAqJiiyO8K1sbrWHfJ59bIAe8dQ/WtCDS+wU/MACBYzrHNrl9W8cTBTwSqZrXhv6Nluamo9huytSM8V+bn+wI1SSy7QFn2GXWlFLdZtO2j6ucVvsGuH8NkCdoi2OB2S6RAT9W8nGcHlRYUltgpOV1S7sSvEcJVIWA09EA+5XA6s334I+wLn2liITShJwPXDeuHyc/1FUnt2am7SruD2/ssLCw1tVv8X0P6OyiqCGRKh6n9k64rrRXPcenf+BqW9dn8iTrMpNgC4XE7D0AOrKSAB/z6oziBwq37D360qwWdLtmneK6799TUSZny7xdCWyhrjcU9sY7N9oUa3v879TrtuddFM9XdVncQioWEDBd27d1cKCBUVFWH+/PkYMmRIottlSn0HT/2lc9YDShjVT4sBqdRKv6EHweNRfb3Trr/OCZ7QLB7nPkBJdOutt2LNGv9sJy+88AKeeeYZXHTRRaiursYNN9yQ4tbZE8m+o3TCwwSlO7RqZHjM69NW4/554z7Da9REITv1OHttjQLz9oqXqAPnZh/NbkddsDOeW7TvivN6AAh9Tq6yMe0ZELz4/+hLbWG2/NzgHUarFN9dYYIxtXXemKZYBIJ1Y4L8bbEai96n21GGx8RvMFyqsu2sPdm/LKdDsqzULpjVTEiVcZO/x+2TvonLsuRAB85q5gtXoFN79wvfxmV9Qn5uFm4Ydjxee+AcPHbbYMPzNbXB/UhdwwQIHl/UGYMOVed7/+FgdoxhFgHVP0VdAf1yo7k+MJuW1IrVNWCWy+HPNtBTvVz9Xp9P1tRZ8KiCDM+/X2iYYUtsi+wQGcXierD0iHE4SrBGgfF94eo6qItmOlU7aJVJQCJRbFdG2Lx5M26//XaMGzcOnTt3tr2CeI4JLD0cHA+2vSgYdSkuDqZOqcd31NcxUOkk07fhzp3BMU+rV/+KJvmRDz3I9G0YK7H9vF7zMbOp4nEHD9Rr163Hod3WFbBTzWp7rV69WjOOeF9gbOmWLbrxwoEz3JZtxvF3mSIdfnOZYOHC4F2wKVOmKH/37NkTn3zySSqaFJNQc2jriQtJ/bh2vU7tmmDnfm0nVb/8cBXXxTA6r9Vd/TDN1UylaHIFHG6+cf/71K/34reiQ9hcXIoRf+gKwH8HeMkvOzE0ULVcvF507kN1Qu0GKsQFvnqGCX3boh32Vl3nMXaqIlyGWLXhDqlFp8ltEmQS28lOrL28sg5bSkpDTv0oQ4YUaIPZ71qTKZJGQfTf94TOAImELMtwSBIeu20wFv9cghc+8J8fRGdbZEBHGjAzXZfJY0e3aWzyaHC2DTOiw6v+ypwWP26P16e5GSJIkn+fuXBwZ/wYmB5RfMXRBApq67wxl3jyBwrspzv6ZFkzJCPce0XgNttk1oUg/6cQx91PFm7GO/PWY9ZzI5Tjh2kxQ2fonVKdueJQfR92A6HxYCtQUFhYiLFjx2L8+PEYPnx4RCuI55jA7zb9DOzwFwOasTR4UG/Xvr0ybkOMR1GPJaLocBsCmw5uBNb4gwUn9O6tzI1sF7dhbNTbL2v2XtQEqgemwzZt9M1CHAoUiTruuJ7ocYwxDTAdmP4GA+Pp+vULjkkGAuOS5+9Fx6O14+xcM3bD7fWiU6fOGDjwaMt1VdW4keVymk5jVJ/Fez8ONyaQGg5xIWjWYbK6axfuLptZ38urS6cNd4de3B1TX9yr22N18S4udtUZBWadITtD9dRzmPt8Mu5/9XsAUAIFr05fhaW/7lZS5sU2FB0Ys6EHkuTfPnY7aNYZqcHHJUnCWQM62ppzXc3t9hmyLRb8WISzBnS0vQz9dhSdDquMgmqTDsTy9f7grtkMBXpPvvUTNhQdwvSnh1tWWZdlABIsMwrUmzSdMgoEt8cX8znKJwfvFKs7e+J3Z9bJjpWd4nWhjh3BfV2dUWC+TP33pv8Ws7McyjFGPBdN1m2t2wtJkmIqzGcWKAjVEp9PO7Wl2bFKU5/Mqz3umBGvFzNGfPLNJuXfYlXmQTXjstRBGpG5Amgz6Surk5dREPaXvHv3btx111144YUXIg4SxJtTlzqi/J1GEUtqWCIdQ0mJk6wKr3bV5xoFgn6LivGw+nF2du+KXjlhPh56fWnc2kdU3wX3HeNz780PVhD3+WTbwyjNLhL97w/+W5m/3uKwaZYuHC5LwP+4/7/qTsGU2WsMr7Nzh2/7zmCF9iMmn0mk5Yq7dKJ9SkZBiAvvSGsUWC0H8HfOraaEC8Xj8xl6Amu32puCUBAZAupx6oB1B0//ud9/7ELl705tjXehJ//tbM2/S/b5x/CH6nDKsv9n5XQ46lVGgVAb4q67XT6fDCnQgzKrVWB2p3jXgQos+rnE8HhYEWxC/TSfmsWIoQeaGgXmrw3X6c/JCk7/KJZbXeuJeCh4TZ035lmjspwOzfABweqKUX8sNguqqodeid+4neKBIqNDUl0ziayNL34sMrz+5OPbGB5TZwuIzBVA2wdO5tCDsJ966tSpqK2txaRJkzBy5EiMHDkS//3vf5PRNgOrL4kFtihRkl2Uh6yFmrM4FbTz3zaM34YYl/vOZ+v92QUB4aZNVFu3LbILYaKGLFSNgtWqO9Ren2z7HPPrlgOGxwyBAnHxa7FIcZfMaxkoMH+fEihQ3YXbd8hY+d9ORoH6kH6k0jhW16nbdqITYjX0YMee4FBBszvrZtq09GcJDu7TTvO4+vOXHqnFkao6lB6pxcoNe20tFwCqqo3FDCNlvCPv3yZWMzDpU8+dTgduGdkbgHn9As2MBACyXP7li0BPrduLEffNwedLt6te5b8j67CTUZBGF+hiX6yutT8u3opVB05wmfTA75z0DV78IPIhbKLTaucKqF/3VpbPia9C3Zm3ugFjVSdFvD7L5YTPJ8OrO+7sORhZ8UYRBIzl6i7L5cB3v+zEhH//EHwwxI7n1R3czAIFblVxU3EsC1UnSyxR+TySKGLrU/quHpPsGvUQCP36AP93JpalXn8iMlashF3TxIkTsWrVKsyZM0f539VXX52Mthl8sazI9PH6ejeP0p86qsg4QWqlWZxA06CGcgwSJ586jw9PvPWT8ngsxQwPlFbjvc83sOgsZSRxZ9Fj0mHSTrHqC3mOuWFYcOqvM/sbp/3z+mTN+SpcjQLRgdMUnrOTUQBjgEEyuZL0eCLb380yAERHTFzYi1Wqhx4U7S5X7q6tXB/sxEc6NlxMtx0UbP93q3Zic3EpAOvrUDOvTl8V8jutrvVgypw1IceVi06DfjFWGQ76Y7RDAkae2Q2PXtMRBfnh6+go54BA50lUwp/+9SblNUpGgVMyDQSof1NW54xIxpTHiyjgGWp726UeO252E9MsoyDmywQb10BDT+2E005sZ/qc+F7UzbAawmLo1Op+yMEgnk+zxHBj7s1EEkz6yxX98Oitp2oe2xGoPaEOoMqQLYMgVvVc1MGRz1X7uTjWmd2s+nXLfv/NkcD2EfuLiBN5vbIS2DRrjunQA9W+4ZNlZVnq76pviIBQvNWbgaSh7tjxTi8ljO6uAqVOug09gI2LoXQXqvOujqiLQEE0mRMvfliI6V9vUi60iTKJGOetnwYL8E+hJni92o6+nhgWBABNC4x1n/T7ZrgaBaIjoJn1wFaNAu37Ae2xuXGgM6ouqrf/cDVG3DcnTHvM6w3412mRUeCT8ZcXvsXDry8ztNm0CroJscw6txcHSqtVjwdf0+6oRsrFe2629Th/fZ/rQFlNyGPsFePnYe532/D50iLL12zbWeYPTgSWI7ZJjkU7NhQd0vw70tmCRKDAkJGinmkMCNYoMLlLqs0oMP/88Uj/j5TIwohHoEA9dtzs0iTUHd9Irxci6eJIkoSmjYzHB1mWlQ65duiBRUaBReddvFqZ9tUrwycDTQuylX9HqrrWYzul4IJTOmFgT2O6vvDG7DXYvqvMH8yyWKZVoMBq2IYIIJh9pRP+vRQP/muJspv8tuMwAEAKfCCP16c6bhmDe2bHfI9mmlrZNKMgmbOA1ZtAQSjquT+J4km9Cz/4ryUpawelX0aB+gKovg49CNVsdeZkJJXb9cQFdjoWtSJKNNHBN6tSrQ7G6VN49dTXhWaHQp9P1pywxB1b/bGpb/ejAo8HntdlFGwtKcWI++Zgr8X872ZTOIq2DejZGv/8vyEAtBe7G3/Xdl7NqI8Pos2SQzutmDj+KBkFgfeIGQvUnXKzNF/zDxT+YYdDUrZnbo51rQL9xftRTXNtHTNDvWbJ6l341yercfVDnwMwdtT09J0dq7nnzUiSpARh6nSF6g6UVgevtQOdl1imR4xH+n+kcpSMgjgNPQjRWQt1TeD1ydh3qCri64ZYLoHe/mw9JvzbWD/IakinodCq7nmnMxisk+XQBUbDsb2v2vDp99vw0OtLA4ECi4wC3YFWDJe0usYU7Qs59ED3EcSy/EPKAus1+75NHnLrpp4NNcQlGepNoCDUBiraVW75HFEs0iVdeveByohSHhsiq4N+0e5yW3Nwx5vHYv7x+sRlkiYoDrXq+ZWVoQchPqdVxk0wGyF9xqoSJUu2ywGHBFSZZBR0CVTzB/x3wEN1GDXHP5NDodfn01xzig6afp+9dmgv5fnqWo9mzLTPJ+PLn3YAAJavC06DajYbgmboQaBBsk9GVqDD8PqsNfg9UDOgcV74lHfNxXHgWKEPUBqmR9QdU9RtslMjQc+qmKPsk5XlqVP+XU4HLjv7WOXf+nPUxWd0xVfLfw+7Xv378kIEI8IxDD2INKNACRT4P++hshrluW8L/YX4ZMD29IhvmBS6BOJzVz/SZYrOrFnhu0h4vT4cKq8NDgsx2W0Xriy2fP/eQ5W4+amvNMVMQ4rw8uKyc7obHvtsyTaTV1r/Piz3H92sG16fDMiyKlAQ3bVQPLvAvkC9l3AZBWKIxsxFW/xPWDTdqzse2SH2aY/Hpwp0msyuYPJe9e9TM+sBAwXRK6tkRgElRrqklL/4YSH+9clqHD5SE/7FDdSxHZsaHvMFUk8nvPaDyTsSY++hKlTXejQH/UT9TmRZxuzFW+OeNXVmP/8YZ3U6syA+ijo4K/4M9Tmffnu56ePijlZ9DaYQxUKSJORkOZRx9D9v3Ief1vrnH1cXstpcXBoyo0DdmZRMLqv1syYoNQh0+6zLFUyJ/fibTZrnfKoCbaYzKADKle3eQ1UYcd8cuD3B6b9kqDuaXkz8j/8OZl5u+Gn5NBkFgb/VnZED5W689N+f/Z/BosOnrtRvN1Cg3jrqOhLqzy/LweVla9KHteOg9RfyO/dXmNZK0N+A0N/0t5qWEEDEPapI+xZi24ox2g9M/l55zqdOXZf8x3azALD641llpkRaQ8KOI5WhK8GLfSHWDMAvfvQH075ZYR0MUP8Wr544X/OdHy73n89nfLvF1vqUYoY2O6rZWeFrJoi76FadT/1xoyowK4n4fYjleX3+KUD1WT6RimVoaaM87XWMaLtVx148/+fL+moet2q5Rzke2esy+wtdivcGhx6YJhSYPKYfeiC+I2YUxKC+pv1S+kuX31Z5oCJ0MudOTTc9jmlueEx8PyL1NBlueeorXDF+niajIFF3y7eWlGHq3LX4x4c/x3W5LpcDrZrnhXxN0e5yXPbgZ6iqcWum+rFysNw8iKWvXE6UaXKyJGXowSNvLMOT0/xBtVzV3emnpi3H8vV70P6oRqbLcEjAuBtOwl2j+5reKdOfq7wWnaIslxNOh4TqWg8+/maz5jm3x6d0RNX7qzpjS9/Jra3zomsgM+LCUztrxmabZVGodWxdoPytvjgWbRb1AKprPZix9BAqAue/gnx/x6BCdz6sUw/lsNFh2bG7HNt3lZm+R/1unyzjL1f0BxCcGQaAYRz0+YOOARDsNFllE+g7yfpOUk6WdaDALEhkxSFF3gETbf/+l52G54K/JRkSJDidkmnauP43Mm/JNvwYCI4J4YptRqM8xE3DRT+XYNcB/0w+sZ6L7ExNd9PFxyt/V1S7kzqDlrpD61Uq9mu7e0qGgUVT9IG2tdsOolXzPLRqlhdYh/q8LivZianIHGycrwsUyLLpd/zQmFOU5wFjQVCzDGKnQwpmOIXpqGcHgqT+qTODQc6Qmckmz2mzVc1nPUimBhEo2H/YODUPUTykS+dGHIAScXKtj5Rxsgk8Kf3vq40o3nsEB8uqTX8HXt0UNokgPl9FtXHqsFjZOeXUub0o3ntEOUH9tuOQ5R2ifIu7YLEUQiRqCLKzHKZ3ULNcxkswl8ljgL9DekbfDrhwcGfT5/X7lzhm6Y9dHq8PBflZqKgydnaqaz3BlFnVQU193tHvxW6vD80a5wIATu3TThMoEO+zulBuFBiSkJfjNA0UBAMCdZq7g7nZLuTnunBYN9xJnaHhtpFRcPcL32L99mD9BM02VLW5bctG+EMgC0vdydN/qqPbNManL47EzGcvDrle/bbX9+WzTO4Im7126KmdcPm5xjRzQd85DEeWZdPhaIJ6CIgkWc9frz/U/2fWGjw1TZtxVp2AoQehhiCuWB8cSrNc9Xc07PTzTz6+re496t9W/Nenpu5Qvj57Tcjv1aqAqj7QVlPnRdNG2crxQV3MUJaDx62oMwqiehc0bRHE70+fUSBujoh6I/opRs22s9PpUNUoCN0OEXjw+GTl83i8vpC1oCIZesCMAqI05PPJKMgzpmfbdfCIByPum6OkmkYrK3BAU98xyTTaiHzgvwnqfNa6vXj/i9/w5+cW4sbHv8R3q0oMr1EXjUpUO5Q7+XFevByqJLCOxxtMo/tx7R7c8tRXpq9Tp/+pL7gdqgsKokzkdJhPB2d2YWpVLV0z9ED19xXn9QAghh4EXy/2Qf3dS4/XB5fTYZqa788e8v+9qDB4zFMHCjbpsrc8HlmV6mte98Rqz1dXA9cECrw+eL0+zPthOwCgssqtLeYoAc0KcnBIlcV0+EgNjmrmD1gce3SzqGoUqIO/6jbf9sc+mo6R6gNovovqQNZIuLv4FdVuTfv0HRq7HYK7L++HG4Ydb/l8pNncPp8cslq/+E2JLZDlclr8rsMf6xNx0yPUd64ezrEgMHQgWvrOtdnn1d/99WmuX6JNz7f3OvWqP19ahKoajyFtXskNsRyXbww8aqvuB4b/+HyBQERsNQpioZ+eUtQo0EcfxG9A/Gb1+6lZy9UFO8PVKMgOXKd7vb5gwNXrCxnpMfstuHU3ocR6Q2UaJVKDCxSkS/E5ahi8sgynU0KX9k2ien/xfv8djx9+3RVTO7KUKYuSP6VQOhIXdNobQPHb9/XLOmSSVq8eg5iozIbgeOH4HtcCQ0xt8Xh8tlLe1Cm56qnJxF2+PQcrI2kiUYPhkCRNJ1QwDxSY72vqzqP6FW1b5AMIpLiqLnWVY6Tuwt3tCRUo8Jimtos7tcvX7zHM3uD2euH1+eB0SJAkybyTbHH48imBAodh1oNVm/Yr/z5S7TbMwtKscQ4Oq47Lf3vle2UZ+Tku0+0djqZoY+DPF+85EzlZTjgcEhySsbCj+tOq75L3OKYZ8nKcms7duScfDcB/LFyiSu3/JkThO71I+v6Rnjc8XpuBAjk4Q4Lba+zw21ltpB1KWZbxz49+xm87jDNoiG1sFrQQQk1rGTEbTdfvBvsPBzPxIj2bR/p6fcfZ4/UZahQovw2bQw98PlnTUdZkFEBVNySK/Q5ATCkF+g682+MDZOPjZjWZhGffXWE6dMU/Bai9oQciQ8Gr2lZVNR6898Vv1m8y2f5ui4yCRnkMFIR126V90LJpbsjXML2V4kkcHHsc0xzNGhvnpg3H7RVjoWLbwUVxmozOKID2QhLQXgSLat1xWpmG2QlGneaYsDGHokhYvL92+wkFgeh2+Ber79ioU+eaB/abKXPWMpBLGcnpsLo2MT626fdSXHx6F+MyVBf/o1Xp5uLYpA8I/LbjMJat2RUiUGBctzqjQE3c/X1i6k+G5zweH3w+OeRdcP1urxSVE+fHLKfmLppX1ymprHZr/u1w+AMFh1RDD/YdqoInsNzsLGfYDovZ8/psAQBoEwjEAP7vQJN1oIsU1Kim/OvT7Si4PT4c06YxAOCWkb1xyR+6AQCeeWcFXlTVndlSXKppR8jDZARpApEebr0+n2boi34mG+Wzy/7U6pxsp+lUg+J8GHL6wAg7lFU1HnyzohgPv77M8JzopIYMFMQwk4SefrOaBVdcujv4b326znoBYVfof4PdehM5WU6cNbCj8u+xL35raI9Sid/iR6LPAPTppoMUn1lkMmWlNKPApLirSUZBfoiiqktW78KMhcbikuo6HOGKGYqMAo/Xp+ymnyzcrKktpr8GEv+aOuF85TFDMcPAwgryw88ekwj1KlAw4g9dccOwXiFfc6SyDjUJqKZKmUmkWzktpgEKx+3xvyc3O7aTVFag0nJG1ygwS6tVfSe7D8TvjrX+mza7qNQMhUjQyVHJKIj4yiI0/znU7tADn61rU3WgQD0sQ4xf9i+LgQLKPL/vr8OvWw4YHrfqyLVpmW94TN0Rb5yfrVyUiotfn082HLiefnuFaUfA5ZTg8frQq3ML5TGHFMgoMNnZa+o8lkE+t8cHr082vVgX9G0Qs7iI42pujkvTySurqFVmZwD82Vua2SEl/x3iOt35UHQ+c7KdYY81+swIQFuXweyQ7nJKho6Q+jiqnp6vSaMceLyy0o4Tjz0q7DDGKXPWWE5jp6zPZDNff5H5dbHdo+3k+88G4O8ciroZnds1wcT/aGcTEh9dDrQjP9elVMM3W/GJ3Y6yXGek54JQtW5EFo76NzTivjl4//MNyr/zVDdrzjnp6IjWraffFfp2b2UoDty6RT46twtmoqrbdqg8WFftjw98artzHclN95N7tVGtr9YQtBGdV/Wap044H3df3g+A+dSj2qEHqtR6qGZBiCAA1FU1PWwssx7ogyCA/3PpMwrMAjqi9gigzYQU1MUMmzcJfbNQ1CjweoNZAEcqtfWlPF4ZP/+2L7j9AwGY1qqApPp6U13MUD+7Q7LUq0ABEH6MyA2PLcBVE+cnqTXU0HkDd0ocDuMFgh11nuAdk1iIk3cmDz1Qb31xMvJaTGcV87pMxvWaPa60J0GBguDJJL7LlWGMtlsRxYrCURcSUw/LUJ/DQxWbIsoku/ZXWHbkzNKk9fuOOAaKi0evz2e6vJ9/26f5d7/urfwp4x6fpgOfl5uFyhq36WGh1u21rJMy+7utWLv1QESF8+Yt3Y5rHvpcuanTOD9LMwVjRZVbWxTR7dWMu3ZI/uC9/sJ+284yAP7zbbiMArNjuU8z64HxLq7D4TCcC9SXpGf2D3Y6RKdBFLF0OCSlOKOZEffNwdzvtuH1WWtCttuM2XR4gUbaen+ntk3Q/qhGqKx2a6aW27HniOZ1XvX0iPD/9qpqPYZAufhdhQoeeX0+/O+rjRhx35yQbZNlGRt3HFLdHDB+r/qMAvHd/O/r4PSf6ps1ZkVEI2KY3lLCDYFgjTr4dumQbsrf6v1X3S6P14d5YYJD0Zz+9Z1i/ZAm5XnVwlu3yFemodYHcgxDD5zawI3YpqGyOvTaqWZ4iaVMn1nmit3sRfVv1KztDodDOfYV5GXjoyeHWS4rR5NR4F9unW6ZB8uq8ciUZXj23RXKY/rWqzMyfaqhB7H2I6JV/wIFNsbKcvgBxUswo8ARZUZB8A5HLMTczbUZPPRALXjREHwskXu9+B71P4HTT2wfaEf8136wrBrj//1DYL1xjxTYPjHbqR4OBFMPAd0JV9X02gRUuiaqL4p2lyt/3z7pG8vaJmYZaPo7U0/ecRrOOeloJaOgts5renGsnqLPEQh65+dmoarGrTluNcp1BTIKgu/NUs22Y3XhvaiwBFtKysIMPdC+939fbcKRqjpsKDoMwJ9Sq54Vwu3xKhkTAOB2+7QddkmC0+lQhvYJYrrEnGynMiTigVe/x/J1xir3pvOXm5xQ1NsjOxBgUb9f/alPPLaV8ncwuO9V2mx3nLwsy2hakI3jOjU3PGe2la1uoEVy1mhakIPSilrlN2E2S4fH48OCH3fA4/XXrWmUmwVZNr5WfN9HNTNOwSuaumL9XrwfGLsdqlO3bttB/O2V7zFrkT8t3CwTQd9JNTsdq4d/RtKZNWPWWjEESH3Xt1+P4O9BnX4+SDcjwt7D5jMJKesTK4ygN63vK+nrFvTq4g9oiIDYX67oByAYQHj67eV45I3gMA/90AOxv4ss1+aBzEGRLRSK+L6zVQGbULUxwjELSG0tKTPdL24cfjweuvkU5d97Dwa3vdnvQlMbRvJ/v+phHWrZ6hoFgffV6QK8YqiOqMHi88mGbAr1NZesC9CkQr0LFIQbI0IUTyKKGm1GwQ8bKgCEz4QJJ4vTI2oregcuFrQZBfHrTOu/anFxol9Hp0BqYSICBYfLgyfchBQztPmT9Ee3w69f/QpNMR7V48wooEx0Unf/nbO/vPCt5vHyCvNpT3NNphrN0t1N6t3tKNx79QAUBKYYrDRLAdcLHEfycvxBAXUAMjfHpZkeEQgGLGpCBAqEkIECi8cXB2aTKcjL0nQ29Xfhat1eTWaSJEnYfaDCcBFeHgim5GQ54fHJqHV7saHoEJ5+Wzs1H2B+TDU7bqk/VW6OS5nZQHm3JOGvV/XH3Zf31SxLdHzEOdvp9F9H2OkQHamqw/FdWqLHMcZAgdmB2+oGWiSnjaYF2SirqFV+ExUmv6eNvx/G5I9/CTRDUjrHlTXa14rT4fDTuxjuZIshajv3VSiP6WfSUBPf6QbVNJaAPyPnmoc+x75DVYZCeuqsgxUmUyGaTekYCbPtmhcI2FWptkXLpsFASZXq961PIfclYEheuJk0gpkx/n8f09ZfS0P9W/p5YzAbST/rgfhs+0v9wyiaN86BQwIOlhkLP+uJdYohtf6/o+/bHd+lpfl6TI48l53TXROo2VAU/F2ZZSHpAwUA8Ncr+5u2V51RIIIG+uOy+lpRlv3HKP2NRP3QAzs3yBOp3vW6GSegZBKzHric5lWr7fLEWBVff3ciI6nOziJAoN4esxdvTci6gODYNf3FZaPAxUEispjUUfLivRWGwlKxkPVVuEKwW8VYvWnqVCnB6sczOdBFmSs/2/zCxWqfVqeYXnthT9x79QBccEon09eKTkdFjdt2x7BRnjGjQAxH0GYUBKf7CneIiySjQK9Fk1zNneKaWm1NhDqPV1fMEFi92VjzQVSWdzn9GYDvf+Efo252fDZrUUVVMHATvIsbXG9ejivY4VMNPTj35GMw9NTOmmWJc3adKqMACDFMQOVQeS0kSVv3JZTGcShy1rQgB2WVdcpvoqrGGChQd+79d1dF59g8o8AhSTj35GM0z4mbfSd2D9Yv+Nsr31u2S2wDfTDi6xW/40hVHb79udgw9EBdiO+/X24UrVIes5slZ8Vs2EmjQNDErPYFEJw6U91OQQTGjlTVYea3W0xuPATWF0FKgT6epM5mAozBEvFyq0CWT9be2RZBRPFZnE4HmjXONQQKtu8qM/yWxKdTd7ZjCRRcM7QnXv3b2YagVKQ3cEwzClTLFJ/f6XTgoTGnGF6rrlFgdW2obpPXJ6O2zmvIIPN4tMGEFCcU1L9AAUcV0AOvfo8ZCzcnZV0ioyAn2wmvT444Za0gz7+L/bR2D35cuzv6hgQOFPo7KJlKHHwT1fHUH2bERaz++KNUHE9ANX99FPmOSV/HbdmhMgouO/tYzb9tBwpUW+2pactN70hldKCLMpZVJ7rUJE33uGOaKxfrJ3RtiavOPw7nnHS05TKyXA7kZDtRURU6o6BZQQ7+du1JAPzTB1bWaMeWZzkd8Hh8ms6p6NQeLKvB6Ac/C7l89fHqkjO7Kn//+bmFmPDvpZbvG3R8W8PY/fLKOuVOMuA/7+XnBC9XJUnSpC0L+w77726KY9bc74Jjv/XTs6oDEaKTUqVJoReds6C8QNaFmtU1vJJREDjmiQ5ytsv+MESzMclm6xt0QluMPqc7TlIVsItU04IclFfWKec6s+CKeoYDCcGhFPohZWKWHkmCZghJ4FkA/u/Uzp1S8Rp9Z1N0ympqvcpMDSKgr277gcAdb00gO8bzkE8VCBHEEKAq3e+jY+sCAP4ggKA/p4rf4tS5azHts3X4RTU1qFokHUZDOrvu2jU41aW2FodVXQn9zCbB4IxXaVvLprk4WBYs1CjLMsa+uAhXTtDVjVNNiyrEEihwOiR0btcEzQq0xQb1MzeYUc+EYHat01xVjFn9ezX+rrWzHlhlEauvgZ5/fyVq6rzKfv7hExcBAFZt2qd8L7LMoQcR23+4OvyLMkjx3iMYcd8cbC62Tt2qj9QHG70NRYfw9rz1SWmHSLfKszghhrK1pBQV1f4Dz+biUjw1zZj+aJc4yWVyR0t9yBfZHTUJGvOu7/crGQW6iyelkFgCUgf1HYNKizsVUZGtLzpuvPgETTVij9cXcTHF0iO1qgJNwTczo4AykdOib3j4iDFN95aRvZV90+6Qo4K8LFRWu0O+/pX7zsIfAsX28vOyUF3j1nSoslz+KQrVixAX75+GKbYGBDvpAHB068bK38V7j5i9XOFw+AMXamWVdXh0yo/Bf1fUIUt3Z+/x208zXZ7TIZle8IsUaUH9OZ3KeGJVyq+qsyvk5biUc064b0Y/XFBkw2bpMgpG/KErzPxWdNi0M6K/ayra9afhx2sKykaqUW4WfD7ZtDaBGYdkPW2zuhCkOqAjy8HCuHVuX8gsFNXCAACV1dp2ZTmDnTJR9V7cJffq7tqqFhNYlo1hOhZKj9Qqv6XxNw1SHhed1CGqgpYAlFkE1PTbWOl0B7ZjeZV2SFI09yHUMy6YUYYe6B63ymLRDz0wm5KyZdNcHCyv0bxHUB/rxKPqQJgr1gKTAJroAgV2rpefvvN05W+zqT47BAI9gDZQYBbYyFVlFFhlmarbtPTX3fj+l53YFZixS8yK8sum/fj0e/8xVz3rQarUu0DBuSfHNq1JQyPGEC1cWZzilsTP0l934cbHv8SiwtR/JjHrgSiEU11rv6MjCvXEg7gAzOSMAm1qe2DoQaIyCgyzHoiMAn2gwGX6eDwksh6LDGMBHe26Q1cCtliohjKVlnroQZjf756DlcodoClz1mDEfXNwqDz8mEeidGaZUXDEWKNAkoIXhnYPK/mBQoSh1qfe3xvluuCT/R2WU3u3xSeTLkaWy59RoD6Wic5ApIc3sw6ula07y5CXo80o0BdEK6+sw48bg2nvDoeElk1zYcYq808/hZr6c4pt847qBoS4KaDuzOSraxSYFTFQybKZUWA1ZeKh8hpNcEQINbuErY63hWBgwxgoaGQy/7zkkJTvWX9cF8d+h0PSjEOvrvUop4k6jzdsZ9a/LDnwXm3nXtz59vlk5Ttwm8yGFLxzHnzvkao6XPvw5/jbK9+FXb/e9Y9+gUWFJchyOTRj3XNzXPj4meG47kLtVJUndDWOn9f/vksravGvT1arPqt+KEfEzdQUkmxsMtuGuLkhgivi8CCGUOjphx4oQ2s8waE1/iFNwbZ71AEbrz8ItXJLhXJ9pQ6aZUWQaWNF33Z1/QErTVXBBbMptju0UgUKJGOgRK3H0f6aIh6fz/Ka8I0Qs5qoj9GbS0pVQ3gs35IU9S5QEI+xWHbsO1yFTxZujnsRMeHZd1fg86XbY16OiGA1pDt1z7zjnzbEzk6eaEpGQY5/O6/ffhBzv7c3Fr5NC+Nc2NH+nnwJTrWvD9Sp7SIN0SwCHJd1WWQUWA49SMCYqEQGkWXZOmUW0F5wVtd6UKIam2q5TMM6jBdo4X6/tz79NW564ksAwbThp6b9FHbdROnMKnXULCPK7fEpmUqtmxvPIWays5xwe4LTI5rdndNPhQgAR6rcyMlyISfLCZfTX6NAnR0lSf7OoP4O/QPXn4Shp5rXTACA9q0amT6uL/gH+LNE9Xcxt5aUWi4b8HdAmxZYz2luFlA3pFSrjkvq+kPiuFVR40ZejlNTLT4vVz30IPS4cZcho8C8RoHZDBeCWWp+qHNNLEXPQtZBkiTNcBLAf/4QQRT99laP4Vd/3jVbDih38zfuOKwU0AOA5ev24Pn3VhpWLT6tfraD3wNTN6rv3JrVKAgWNgw+dqTKjfLKOmzcEX0mrlnWSm62y9Z3oK9NsmzNbnyxrAhLVu8CoK1noBbtnWX9bybLFZzmc8a3/mG8hwNt0rdfdJ71GQW5OS44JP+wWn/b/EEwde0D9X5V5/Ziyuw1+Gx5KdZsPeh/D4LX1lkxzHog5JsEtMJRZwaIfVtMEQlogyzhMgpaNvMHL92BGVfM7Nwf/loKAKqqPcr1psRihpF7+GZjEYm4r+P1ZXhn3nos+HFHQpa/ZPUuvDbj15iXIw7UDbEDmQ7lKESNAlGF+oUPCjFl9lpb7zW74xFth5JDD7TExYZhbGScAnv6arn6+ZkFEcGub1Oy+gvkWJ981M8t/XWX7WWqBTsmsQ09iGcRRzu8Pjnp66SGzeomsNmd70PlNejcrgkevOFk/Hn0ibaWn+1yos7tRcle/0Wo2d0udYdU3CGuU80mkOVywO31au7GOiSgTQvjFHcOScJtl/axbE/PTi1w1gDjFGLHtDG/g5ybo+0s79gTZriCFLqDrZ81ATB27NSBE/Vz4m+3x2e4y6muUaBMj2iVUaArZiiCr/qMglBzo5sdo82KDApW2Ql2iPZW1xprB1RWuw3tFEEkwHhdoi5mqM4umft9cAhLeWWd0mEEgCfe+gnf/bLT2AE3ObVWVrvx5U/+a3OvT1ZeYzb0QD+dJaAtWhnKlDlrsNqiXkAslxqiNkmvzi00WRXi69Zf18R6faHPUMhWBQpO6OovKnmCxcwBtz3zNQ6X12Dn/kqs2RIsIOp0SCjIz8bm4lLlsawsB0oravGfmb/C7fFq2v3zxn3YFyg2WhNoj8vpQONG/oBfLDUKBLvFP9XM1nvRaV2Cz6vGjYULFIihP2UVtTF/Z8vX71EyXtSHgbcmXoCxI9pavCsx6mWg4OTj2+LTF0diYM/WCVuHiPq89ek67DtUhWfeWZ6WnTRR0CXRbVvw4w4lJThZyivtHcwTyeuT4XQ6Ql6U6FXVuLHgxx2mqVSrNx8IO2bTjLioScffYNKojrsiUKDPKIhbh92QUeA/qeqLDOXnuiBJickoSFAyk61lqzv9O/cb0/GiXUckNT6EHJtzj8fLB19swPWPfoHlJtNqEUUjz2LWAzOD+7QHAJzet72SsRROlsuBXzbvx6R3Vyj/Vrt1ZG/NstR/i4tfMeuBZry5JKFtS2N2wPFdWoQdXtD9mGaGx6w61ZFe4DscEiRJMhQvE/TDDAAYrl9Wbw4ey9WHb3FO8Xpl06n9auq88PnMJl7TtUE39EDZzrqMglDHN7NAQajx9SLjduSZ3cK0zuhAoC7UgdJq06EG+usZcQcZMGYUqCd5Utco0NfkELNUqBmmkzM5kWimj/PJSmBfDD2YOnet6rXaGgXnnHS07aLoc7/bhomvWxfitEuffXMkUHj00iHdNL99ZZpHXQOVKSkjXO9Td/rreOg/b1YgAwnwfz8OKfTd+M9+8Gc/64uvqmtiLPq5RMkKmPfDdiz+eacms+P1WWuChTID/81yOZRlxKNGgX5aWTuBM7MOv3o7q/dXs6EHjfOzcPfl/TDqrGOVKSP/8eHP2GUzc0BPfczZEgjCqNfbqnkeWjRO7jVRvQwUCH+77iRDhe5488ky3py7Fkt/3Y2VG/YmdF3RyMkKFNlLYAfySFUdJn/8Cx5+Y1nC1qEm7sT3PfaoMK9MPDEuK1d3Mg9VK+BfH6/G5I9/MU2ffGTKMvz5uYURt0N03Bpi5ohd6nNdRaCwkb6I0vrtBxEP+uuImloPVm7Yi+d0qZG5OS44HVJCMgrCX4rGJlQWo/5CRc/O553+9SYcLKvWBAyimZYqLyf2sYuREHVfnpjKIQ8UH72ONt6VV7v5khNw7YU98frfz43qzpq+064f6qC+QwZoO+bitaJGgfrc5pCApo20nfFL/tAVzZsYs+WO0mXQmVb3jyJQoC6sKih35y0C+Lde2tvw2Herdip/lx6pxeSPV5u+V5xjPV6fZtiBup01dR7oq8XriQt+sTyrjAJ9NoWW8Thrli0hNA50uqIp1qfu1OnT/AEYZpnwZxRYDVcwzygo3qvtPJkFk+3UxFEHCtQZMOK9y9aYzDAVWJlVbQs99fV+RaBQ6G8l0d0s0w9DFfuYfmiGSNWPVy2qE49thYvP6GJ4vE3zfCxZvQuyLKO6zoPcHFfIDMPpX28yfVwdKNh/uFrzXXt9Ps13AwSHcD73vv86Sh0oiEdlf5cuE+aV+84O/x6T7CtJAv497hw8csupmv1VnVEg9rUu7Zti6KmdcNOIEzTHsSNhZqFR6350M+Xvgjzj8HoWM4xBQV4WrruoV/gXxkD2ycETQkLXZM3rk7EqcPGqF0xVSlwHUhzMDyepqFizxoELk1RPHorglDD6tLtQRXBEelWoztTov3+mpF/ZYWfowavTf8F/ZsY+nCWd+Qt9BS+E9Onu8aphol/uqk378dibPxpel+1yICfbFfHsC8vW7MKI++ZopkwyNiKiRUbEX6PAev/aokonNGN2IWp20Xfj419qPobZBajw245gTRL1vlOQpLo0Qn5O9Om7RGZCFZmTJODSIcfiqvOPQ/ujCixfF4o+uKA/rujXn5NtvPh1OR1we32ac4x/CjztuW/rzjLD+m8Y1gtPqqqHA+bHYrOtMPqc7iEDBcd1am54THQqzKZIBPwFyvQBhr2HqrC1pDSQFmzdGRXH8po6j6ETIdpZXevBjsC89J8vKzJdjrgDv22Xf3uJ7fyz7lpOfxNi8t+CnRt1ITXBrDCd0C3wmcUY60gyIdW/EbNLL30mhENS1yjwYf32g8rvThlbLUk4tmMz5T1ie4rv1OyOb3llHa556HPlmtdsOOGm34O1BWrrvMq5p7LabZndJx61U2hz5Ya9mvP91RPn45l3VuCj76K7EaFfp1spIKgNpIimf7Oi2KJWROTrvvK84wyPbQxsvx9+3YWyI3WmnWU71IGCMSNO0ByHZNl4vvd4jLUSmsQQ3NLTB/ZaNQ8doAX838GZ/TroH0XH1o1xUq82ms+kPozmZDnx/Ng/YNwNJ9tu37N3n2H6uHo75plkdrCYYYxcTgcevfXUkIV1YuGTZaWQV6T9Vq/Xh2ffXaE5qEVj1qItePiNZaYZDWK3S2ThP3GCS9Y4bBE985hElhOR4h2K1+eDwyEZDvTbd5VbvkfcjQ11cVhb58Xug/ZTukX6XahI85c/7cC8H2IvkJmuxLj6vByXMk5T/2swKzAU3brsvU60x+6UUsKcQKE+cbFp2oaIlhgZGWGqGYZhNsbTqj6E+vFQ38/7n29Q/v5NdTwLNYY3EaIpiEQUjtU0ePG4BtRfm+g70Pox5+p9Sj/0QBMokILpvC6nhLtG98UTtw82rP/yc3sYOrVNCszvjOmn8Bvcp51mn1NuFAQMPcV4becwuTvfpb22/oH6Ar9zuyZwe3z460uLcfcL38IsTjD+Rv8Ff02dF7MXb8HSX3djj+4cLQIFVTUevPTfVQCAfYeM6fOA8U6lCG5ceV4PzeM5us58p3ZN8OfRffHYrYPRu9tReO2Bc5Tn7rt2YMhhBd06NsPUCedj2OldMO2hCzB14gWWr9VTH72rTIrp6TMhauu8ynVRda0H4yYvUbJOlRoFDuDoNsGCheL4/+fL+mpep7a5uBRHqupUyzK29ZsVwRmxWqgyBPYdrjK9TvWqpv20cz7550c/Gx4zzVKwST/9pyDBPHBxpKoOL3+0CnsPVeGbFb9HvV4gdLBo94FKLF5VYjnM95oLjEEGNREM7NejFc4/pZNmeIosy4aAnH5EUJbLgWMCvw+zaT8j1bNzMKgYSX/ttj/2wYmqDGb1e9UBMv2d/Z6dWtiekvTuy/tpgqfqDKwz+wfruZhtB2YUxMHAnm3Qpb02ehyv6co8XtlWxW8zpRW1WLJ6Fx6OcYyTGNNuVmArKdNnBNaRrECB+CxmUf9ETEMXiqj0qq9UbMXr9SkBjnBtjSTooWQUZPDQA8B/Ys3PzUKFRUaB7an8wojkZ+YPXEQWKBAng1Ad50TNuOJfdugTabh0/zdVY0AjEerzqoeRqC/mrL7TFev34Ke10V+8WUnWzDqUWS4+3ZgCDCAumXNLf9XuB/rOp556/+oSKKZWVeNBVY1Hc46R5WBHw+OVceHgzranMWtqcgEtScAr952l/HvsFf3Q45jmyHI50Tpw92/oqZ2UfbDHMc1M77CJC2f1Rby+I6vuqHt9slJ3qvRIrWGsPBC8s7/3UBWmzl0HwHgeUGcUhKte3kKX4i6CGxfoAh9mHbmLBnfGgEANLnVH+6wBHQ13TfVat8iHJEk4qlme7U4MYBxHL7Rr2cifgq3r0G4pKYPDIaFj6wIsX+ev5yIy0dQZBWazADQNBJEqTc6bh8q06f1m50H19IIVqhTv7bvKcbDMODygus6rfJmhMgoOl9fg59/2oWPrxpavicbRqtkd1PumT7YOXHz/y048MfVH/POjVcpj0VzfhPq8787fYPr4C2P/gIfGnIL+x2nrwOmD6GJ/EEGwgrzg8z5ZO5wFMAbPslxOjDrrWNx7dX9NZzlaZ/TtgIk3DQIQ2TVc04IcnNG3vfJv9SG5IoIhBKEMPbWTJntIXU9BXfhVv8387WGgICEqa+LTYdCK7MsSX25VhHcb9UTH0yzSJHaGWKbFCUcc9K06tvOXbrc9ZaAd4qDzu0nl42RnFPh8/swAu/NCX/rApygK3CUOd1CPJPDCYobBzq26Yq/4/d93zQAAccwoiOB+fn4UGQVK0aIQqfiJjomFOmLcNbpfyPeuWG+S3RQm+ACYZwkJ6voF6ospqyyax6f+hCenLY97QKWp6k7o4p9LQlYZJ7JLXazr7IEdlYvDRJzTwp2v1PtX53b+myw/BoJuv6qK/Lk9PkOBMLXzBx1j+ZzZ9IWSJKFl0zyl83u+qtN82TndAQCHy2uREwgAZLmcho7U038ODnFQP3fHZSfi+ot6KW1SZxTop16772Xj0EFxER+qCJm6RkE4Toek6XwIjXTp9vqhB2amTjhfE2BJhOaNg4GNe6/ur/x92x/74KRebQw3SzyBGzln9O2gXPMAuvoNgcfmvnCJUhvAIYUOxn77c4nyt3rKTzWlg+qQULLviOYcMPbFb5W/xZSOqzftV5aTE+Kmz6R3V+CRKcs00/rFw3HHBO90qwNxpRW1WLiy2OwtAIzFmqOpXWDWN2jRxHpqUQA4rlMLDDqhrWZIUNuW+fjX/edoXieOI2Idx3VqoTzn9foM17j6z5PlcsDpdOCck46JWx+md7foapupA6DNVPuCeuhMrNT1SIKZWg7NZ+9hNtQqxT31BhMo6N+jlebf5VXx71CJi2CrVDM9s3nEo1uvf8VmixHrCNXhiJVYh9Ud8n/P+NX2lIF2iM/71fLfsWG7dkhFugw9sCNcpz6S7AjxHcSryE39JcEVSJEFgh36ls38d6P0Y+CiFWlGQbSBAjt3CI5uE9245VBkO736KJiNdRRBBZczdNHH9ibV1YHw28gsoBgL9QXDCx8Uau7oEEVLPRStW8dmOKpZ+PGz0RId6GPaNsbk+40FvdQdbGfgBsRTgRoD6mJ5bq/XUCBMbeyV/fHpiyNNnyvIz7YcEvHSvUPw9sPatPjWzf0F3/YfrlI6IFlOhyFQ0EfVERCd7AeuOwnHdmyGK87rgbFX+ju56mPR6EAQIhQxB3qoTAElo0B1J/zeqweEfX2ox9R3adu2zNe/HIA/S0CfNZtI55x0jFLjIVgPwjj0AACOaqbNnHjmnRWQfdpCj5IUrPPkdDpCXk+pO9KPT/3R9Fwssiq6dmiKfYerNdfG1bXB9/c8xt9xPVgeLKqrvzurDjKIgMehOE+PK0mSkjGjdrC02vI7B/zZLWqxHjOaFeTg7sv7YsJN2inmTznBfLo99W/1idtPM6xfPF8ayNBRZ7/U1HnxyTebAQCn9vYvv0g31DIeUyLq6QNxdqkzgHqqOuvNGuegf49WGKDLroiGOnsoL1tkY2hfc/fl/cIWp022BhMoaN+qAP93TfCAXZaAQAHgT3e9+amvEpLyakWcyM1SUqLpFq3dGtkUfaJDG66THq+7uWrbd2sLJ6k711PnrsWVE+bFfZ369TkkybJoUihud+jtwaEHkREndJfTgfXbD2JLSamyA4gTTvxqFIT/bkSGT15u9IECr8+HZWuMY2HVbXAmIJwsI3RGQbhPb1Y5WoZ5ipyon+JyOkJmFAzs1cb08TpP6N98ZRR3/A+X1+Cjrzaafs/6AJ7+Yo0oGk0LctAo1wWX04HzBx2jpIVfYlG7IBL6ol2jz+2Brh2a4u7R/dCpbRPD682GJnTt0NSwHJ9PxmrV3OmRcDqM5VLFnbOcLKcylZjQKtAJ2Xe4Wpky0OVyhLzwb3tUfuA9xn1UbN9bR/ZWXmemX/dWuP+6gcr61ePf9cQwCPXxPtTdWbNsDPXdw4+fHq4JTE4Zf77lspLhdtVYbbH9xPFQX1RSbAN98deff9unnD/Up4M9geNouMBvdW3weP7Lpv2m5wwxvKB18zxUVbstA/vit1NT61VuKuhn7KhQFdFTzrkJ6JiJaUbVnePzBh2D+687ydb7rzy/R8zD4gaf2A5DT+1smPJUXxdEUP9+zYJe4jiypcRY4LRk3xEsXuXPDrGa5jURgQIA+PufTrYsHGilV+dgNoS+vY/ffhoeu81Ym8UucYxQBy+V7ALdby0ny4k3J5yneYxDD+JI/aOrqol/h8rrk7Hp91IAwDaTyr96IQrrRiRfKaBjUmk8ijvsf3/th4im6Pv3DHuV9K0KokRK3YHWzwygfm724q2oqvGgzu1FZbU7dAX5GNoi5mwOR9/pUHdwWphMJxVJoEC81uuTExKQqS8kyb+fl1XU4d6XFgcrGQcutqKZfi9a4q5GbrYzohksANXQA48PT7+93HR/FJ/NKiWv1u2NPsMmTEKBOLGZVd3Oy3GapuP5i01aLzPL5Qgz7aJ50UP9FJh64QJyZl7678/44IvfTKdI06edJjuLiRoml9OBj54ajlnPjUB+bpYSfI7HMevFe87U/PusAR3x8v+dhV5dWpi+Xn0+U3fc9B0Rn88/13u09LtOqH1JTCF3YvejlPNldpYDkiThcYuL9D/09Vcr79bReLddBEh2H6hEswLrKfF6d2uJM/t3hCRJpudpNXWNAiFUyrS4g2i23EHHt0VujiutiqdefEZXJbNEfFZxc0I/lGRwn3YAgPw8Y/u/CMwEod42+u/+jj/2MbzP5XRoMgKA4FR6aqKYdKtm+ajz+CyviURHdvm6PcrpRT0VHeD/fQhi3aFmxYjWLSN7o1GuC9ddGJyprW3LRrana4zHXeWbL/FPG9qkUbYmM8cqK09dq8isNobZzUvh28LgEJLzTjYfopSo4ZWnndgex3dpGdF78nJcuPfq/vjnvUNiWvexumPRzZecgLcfHgpAe9w9KhAoNcsSztMNR+KsB3Gkjnglor/gdnuVA4idugPqcc4LV0ZfubRJ4ABdZtIRT8YlrN1qr/G6260+SOu3s1nq8t5DVbhq4nxc89DnUa+zotptelfXZ9GhMjvx69umPgAMGWAs1BLZ0APz5WYSb2CqSnVUVmwXJaMgicUMRUpudpYz4iJDLpf/veJ9pu9XUiWDD4nfWJ3bi9EPfoZ35q2PaL3KomU55PSIJx7bCo/fNhjXXtjT8FzjRjmWv8FQ57OKaje+WFYUYnaE4N9i+f5K7ObrEqnc4TIOzIhhQV/+tMPwnP4Qk8lZPMn26aefYtiwYTj//PPxwQcfGJ6fPHkyzj77bIwcORIjR440fU194XTG75ilHl+ur6ofjnp/FDdARLaU1+fD8V1a4sk7TsO/x51j+n47mhXk4PJzu2tSk/Vyc1x495GhuO3SPsr5VRRp1BdVE3p2boEZky5Gvx7G50WGwOGKWjQy6cwC/mEDo84+Vvm3PrCir/puFig4XG6dpi5eP0iX2j3z2REYHyi65nI68H/XDMAfzzrW8P5UClWP4f3HLsQV5/p/Z2bTye4IdDzVHSN9PYvhZxgzaay+JzV1CrhIhbeqIyPavvH3w8EsBwDP/Pl0tA4EptSBAiHcTacHbzg54g5ll/ZN8dFTwzFkgHYqvlBTg6rFMoa/V+cW6N2tpWYYz0m9gtuxZJ95oECd7WI2BMksk/Kck442PHZ815ZKYLRvl3z07ubvxCciIBOLc046Bt1irEnw5B2no2Pr4A2WS4cca3qj0WzaV0E/9KAuTte10WpQgQJ1itq2vTW20ocPlddgxH1z8PZn68K+tqYueAdv9uKtlhewCtXqxVQ6evplPP/eSixSFXMBgsVX1JVelVUkeRaAUOuLV6E99bGjUldx1CxybFbBOFL3vrQItz79tfEJ2TySa9ax0z+2QxWlFXdL1EJFY/XUQYVIOy4+n5y0GSsSyeuT4XQ6dHP1+j+XGKtqp8iUHXaKGYoL/ewsZ8TBG3ECDjnrQeC/2rt//vWMf+0HAMAXPxZFtF5l2TZKFPQ/rrUhRfmV+85C6+Z5lieuUMsUP2GrWWTUhxYxi0SobSuKw0VTCTrUcA79xUsk05hS9Pbu3YuXXnoJH374IebMmYP//e9/2LJli+Y1a9euxT/+8Q/MmTMHc+bMwbXXXpui1saucSC1O9oxtVauu6hX+BepmN15O6Gr/7F9h/0p3n27t4qqErzoEJRW1OKG/2/vvAOjqtI2/kzNpBdS6C10Qw1SpUkJPSiyKCJiAUVRZBFxRRfBsq6IrsrKupZPdxfWsipFEREVUIpKkA7SW0jvZTKZcr8/7pw755aZTJiEhOT9/QMzuXPn3jN37pz3Pc/7vOO7VanMi46wwGjQa/Y/9/ZSb/XuoSHiuBr0Oq/B2M19W8mCIb6N3Z/v6487UuSJUovZAJ1O3j5Q2ZaRh/3uKmMsk1Ev86wYkdwK9066wet+6gKmhtBSy0WEmqXA1Zcigj/veVN7or3CZ2H66E548Jbukg8Pn/DyRk6hp6sBK48os9o16+z5QFbw/KAiKTEWr7pVOCwpwCselKoGninDEjGoR7OrDiiVJTcWsxFx0cHS8TeLDcWzcwZgUI9msu0CERS8MG8wnn9gkOy5GO44fJ0vUxdqlSuxudhULtm28I4+MtVGt3YxMOh10pwhPNiAtu5OK95KEq5nQoNNUlJM+RnyxGvEBAy9Xof/vTRRGqdya90aKjesRAF30f1+uQJbf656Ff/VdWkAgM9+8ExIVn96QHNbm90pC7hsVdWg+xHEK/ex80A6Vq1Nkz3H3lMry3mN8wTSxEELf4M0u8MltdHRgh+3EkWi4L9bf1dtr9WarqS8slpy8Mw87TpklyBoLpM6nPIb61ufHVS517Ifnr8vHoFxA9tq79tP+ATNuxuqZxy54NXtmLJ4Y7VeUx9xOl3i5IobNjYsrGd3TZW/+KUoMDCTJz3KKhxYv+O05nYPvrQN//la3oaIZed9yY61Wp+WuX8wfr9YAKBqWT5PeYUdkxZtwMYfz0CA4Fc5DX9PHd2vNdo1j4Rep8PRs3kqnxM2Zo/+oZfPfXr3FBBU24hGkV4SBe5EzdVk272toACASyOB99tZShbUNrt378aAAQMQFRWFkJAQpKSkYMuWLbJtjhw5gnfeeQeTJk3CihUrYLPVrOnYtWRgUjM8cEt3TdXO1fDCvEGqYMAXrz02DAum95atVIa5kxbL54r7YSZkVwuTp1eXsQPaAhCDdcaiW5rhrSf8VzX06hiHmeO6YO6U7pr3uuaxavNUPnDx1rVBEICPt50EAMwc2wWtNTwgGH27JiA8xISJGqvn9R0WCPMB5T0TuyEyzCwbT3+DPZNRj9cWDsP6lZOl52aO7YoJN7VH81gxUdBM4zNhpA5NxKoFQ2W/O6HuJIXDKcBk1Kt+e1rEhaFnR1Fir1zkYtd6Vn45lq7ZhY++Vc8ttbhvclLANeNvPj5Cupb1eh3ef3oMUt0lPh1aRiG5SwIOnsyRvcZazRbMPKy7AM8NXILQ14LFqgXD8NLDN2mec+rQRNw76QbcpUhO8mUNyjlZcbkT905KwvK5A2u0o0B9Ii5KTAL4mkfqdTr8Z/lY/PvZsZp/DzIZMPJGUZ1RU/Paq8XvREFpaSkmTpyIy5cvV71xHRGmyMz7Y9inJTv6Zq9ajgqIK7l8osCXZLDC5lC1AmHwN6wqVQnwXGxaQcG1ThT4uqH4u9K9dstxLPzbDlxQOKAy+BU9ZXJEyxtCK7Ez45mv8fBK/30YvCFAW1Fgs7u4rhYCvt59Hv/4XNvLoVVCuKZs7GrMDAExmeQL5WekdJq9XmGlB6cuF0rPsRWDIJMBFrMBRaU1lSionqIAgNR7W0l6Tpk0sWSw1XB/VCX8D7TyB6M6fhUX3ffDd9Yf8fu+wffhZpMBpgh49b/7ZdsKbovE0f3b4L7J6tUxZtrm7T7BHxNLiIQFm2C1OTQVMazlmV1DcVBcVolJizZg16Ermu+lVcbF0HqvDXsLUFjDTtiEnOzsbMTFeboXxcfHIyvL04azrKwMXbt2xZIlS/DFF1+guLgYb731Vl0cao2g1+sw8ab2frXH84ceHeLQU9H9yRcdWkVhlEIO/vqi4Vi1YCgMeh0+/csEPDnrxoCOaXS/Nlf1uqjwIGxalYobu3kSFWEWg8/SBSV6vQ7TR3VWBfwdWkUhZUAb/HX+ENVrmAIC8B20MqoyY+vQMgrrnhtfreOuL4zu1xqvPDpEluy5dURH/Gf5ONl2fI39hMHtZH9Tzp30ep1MScEYniyWZvJ+GC/OGywz+kwZ0AadWkdLrZABuRrnp4NXZL9X86f1RLvmkRjeRwy2WDcL9u7s93v9jjM4dDpXcxHqxYcG14rhXttmEaprIql9E8ye0A0P3toDANBLUW5zKct7N46rgVft8EZ+SmKjgiWFkRKzyYBbhndQJSHaNPOcG0sa/H3xCESFB2F4jwiYjPoa6SJQX+nbLQG9O8WpEigA0KeLeN7FZTZEhgV5NZIEgI6txPKE4Dr2MfHr3Q8ePIinn34a58+fr+XDCQylhM8f+bCvyV9UeJDs7xWVDpnRlS/J6/SnN3sNBPkJsT+yWbbyrBUUMEdxwGO85y/+bK88B1/JEX8TBUySn5lXhjbN1Nl4/j2LyuSfj1b7NW/BoS/1gzeWv7sXy+4fID32FjC6XALsDhfMJgN+v1Dgc58s0DNxbf0A7YDEG9VRH5SUVaqcfRsCTqdYegAuMCwus0mSvIiwIBSX1Uww589wsxrNq2md6U97RHYMfF1hcQCJEOWkzZ9FEX7ixe4VEaFm5BdXqAN0rpxB63ualNgEG388i/c3HcXrfxyu+js/5CxRwGStFTaH6v7OFB1aioJ0dzLji+2nMbiHvJf5/hPZPpN0DqcLwUEGlZKhsXqDXCu07rV8kiw0NBTvvPOO9Pjee+/FU089hYULF/r9HkeO1Fwb3+qSlpZW9Ub1hLScqrfxlzbxZrSMDaqR8w9kH0NuCIcgACN7hkKnc+LMSfW1wN9hTh4/XOU+dbYcpKVdP4n4qxm/tNxzfm9bUZone3z40AG/5qTBAJZObwFr/nnMn5iAYLMelUUX0KcVwLSQx44dRfZlE0K5+0RuxlnZfiqLParOU2fOI9aUB3up+Fty4ISYND5w8AAsJv+C/8rCC3hgbBzS8yrxxR5xnleb3+O2kcCpE+J1N6QjYBYi0D4hCO99m4Pz6bm18t5mow6pN1pqdN/ZGeLcOyHKhOTWdmnfj00SE5nX073wakntG4TsyyeRrVhb79lSwP4TQFn+JaSlVe3/dteIWLRuUq4as2s5hn4lCj755BMsW7YMTzzxRG0fT0CYTQbc2C1B6tvtbbKfmVeGg6dykTKgDcJCTMh3m9FU2p2yoC8y1CxLFNjsTpnRFVMD7D+RjRbxYbI6dF8TUX9VCQzW2UAZVDicLmzYeUZ6XOlwVmt14ujZPHTvEOtzG2W9rlaywmjQw+F0+Z0oYJP/Mi9SKn58yhS1OZFhvtvDiM7rnh+mUqtdpTTxxb7jWbLHghePAkAseTCbDJrn3bZZhGol/92lo1FSVon5r/wAQNsIxhtVrXDzfy9qqIkCl1h6wJfr/JB2WZLmR4aafa4U1xQLpveWrcRdTetMtkrhq1yHfaZjB7RFcJARPx/NxM4D6dVaNfS+b/9a7vDfHbZq8PjMZMxf+YOqZlnUE4ho7bnQneQ4m14Eh9OlSibwlzhrWcWSA2UVdnWiwIdHAWspq3UfPnpOPpllShX+cXiIGVabVbUdUXskJCRg3z6Pw3l2djbi4z2rTleuXMHu3btx2223ARC/H0Zj9VZakpKSEBTkfQWntkhLS0NycvI1f9/6QE2ddqBj6O9Lx54zotLuRHJyH82/p5w14Ju9F/DU7BsxsHtzzW3qI7V5DX7Y8QZU2ByIjQpGTOzvGJHcCoWlNpkE/Wrptqccx87lY3D/Pghzd+Xo8asNLkHA8Jv6YdUXGwAAc6d0x5BB7XEi5zA27jyLaeP6ISEmBE6XgLe+2oisQvE3pXevXlK5hPnTDJ8JYH68vtizAbERxmv6PR48UJwnvvftV7jl5q5ITq7ZEpZPu/eEQa+vcdWEJToP2P4ToiLD0L+fvP1jY74XAkAygFvHVbmZbHslNT2GNpvNZxLdr6vjhRdeQN++/vX6rGv+fN8AKWDXMv8DgKVrdmH1pwdQaXfKasde/OAXPLVml/T4gqJlyMadZ5F2whNIsgnqsnf2YO6L3/p9jHy5gT+KAqfAEgXyG5qyREKrjsXucHktb+CTDF7fWyGNvpKjLtUwm6oOenhY3bNVUatstTnwlw9/QVZ+uSR1ilLIBpVmOEqUfgV3PL0ZPx30LdX3ha+Wb6wswqkRxMdotLyJibDIFBSvrtvvs1Zafhy+/y5TYXi57q/3Nm9OpxjQKZNVLOCNCDWj2Mu5VxcWpA/t1UIlkVPKda9GUZBfLBpw5nCqF2Ugyh6ZTHrMn9YLgLZL/9Xgj9oKkLdEYsF0m6YRiAwzS74QMtyfRRcNKWO/bgnS/89f0VqF8xyTMlGg5WniUWWo729sFUurtEOZ2FEqI1wuQdPssL45NDc0Bg0ahD179iA/Px9WqxVbt27F0KGetn8WiwUrV67EpUuXIAgC1q5di9Gj67bvPNHwePi2nlh4h3aSABBN+T56fvx1lSSobWIiLGgeFwazyYBZ47uhVUJ4jSQJAOCp2f3w9D39pCQBACyfOxAvPCi2cZwzJQkWswETbxLLHuakdsemValSHKA0s+QVep+9NBGPKHwN+nYVf6f+vniE7Pl/LUvBnJRrL5cPDjJi06rUWvG5sJiNtVJa0bqpuIigLEUhrk9qvfChLqR+gztb8PmecugdJZryjEK3S/6v+/YjPd1T95N2IrvKffMT+0NHjiL3injzcgnAvn37fK7SfbRpFzo2t6CswjMx5ffBwx/3lStiXX5hcZns+X98Lte07PnlAFrGygPrlZ9fQVmFC8/OULfny84tqFK+sm+/vFvD/iMnEeLKlD1n0ImT8ROnziHGmOtzfwBQXCSez6mzF5AW7FFwnEy3YvchcbXPDHGcT1yQH+PFy2qPAp6f9qYhNkK+8vjNT8cQ7Mj08go1b3+0A307iuY6lZWVyMvLQ1paGsb0jsTW3zzv/++NvwAA2iWoV6gqrZ4EgK8xfvbtHzFvfILXvzOKiosRH2lEdpEDbeLNqn3auYDoyLHf4ShWG3nu+WWf35K7qriQbUNGQSUGdK792kt2rrl5+bDb1UZ4AgSkpaXBYStFToGtRiRZbPUhIcyKpuE67OfKF5X7T7/sSZ5t3f4zmoR7bqt8coa9zmZ34Zu9ogzy1AXPPWf7T78gKtTz2iv5YiLqzJkz0FvTZftpGWvG5Vzx7z//sk+S4XsjLS0NB895jrOkpETzXHxx8OABmNzvo4cTl69ky16flVUIp8MhPbfsjhZY/l/PcZ875fFwOHTkGIqyxe+NIAhwCcD5C57ju5QuJmTLS8T7w18+/BUA8IchTdCtlbv/cKWYFLpw8TLS0uQJt8wCcWxKy8pU55il8K5Z8/GPGHqDJ4GXk5uHSrsdtw9tgqwCO344LCY1Dh0+iqyohufSXF9ISEjAwoULMWvWLNjtdtx2223o0aMH5syZg0cffRTdu3fHihUrMG/ePNjtdvTp0wf33HNPXR820cgw6HU13qmC8E5kWBD6J8lNMXk12uQhiZg8JFH5MhlrltyM2Su2YuSNrVT19GP6t8GY/m0waZGoTPjT3Tfi1KVClUlldIRF6kBG+CY8xIxNq1Lr+jCIGqLWEwV1IfXr2KUSn+/5Gh0TWyM5WX0DCVqfhUqHHd2SuuNy6QXg4NXVmHXo0Fnsu7tODNgvl0VhyrAO4mrkOrXp44GLAm6flIy8IivweYZ8Hwz363hZyZHMY8DREhgMZrncRPEe8c3bIlmR5S7T2B97nSko2Kd8JS0tDd279wD+5zEE69KxPZKT5QZFkdu+Q4m1FCERsUhOTvK6P8bZwpPYdew4Tlxx4bFZnvcPjyvAuh07xXOJjwPOXlAd+7PrNvjcd8s2HUU1Ajc2UdExVct0uO3P5urxwO3i9sZNOYiLi0Vyci/c0N2Brb99JW2354SYZBrUpxMAuZy5RbN4HLlwAc1jTOr35t4rONj3Z8D4dO9PiIzQISZKLC9RvsZqcwAfi0FZm7btkNyT69Xrfr+kpB6aTs5Xw7PuH9WHZwz3ud3Bkzn4+2cH8ebjI2SZfH/hJVZfH/wZ5Y5yWCut0oozAOh1eiQnJyPt0mEcPHcW2466sCRAE67zGcXA5iwktk9E785xOHBhN05eLESLuDD12BvTgb2iZPrNTZmyH8hKuxP4SPxc2OuKyyqBT8XvVHqeRwXUuUs3mZw/8lIhsCUbHRIT0S+pmbSf3r37IHTXj4A7UdC9R0+fztNsDPnvTlhYOPQ6nX/yNff1c2PfZElVEL19O4JD5NfuvguHYLxkk++TSxT07dtXetyufQepN/qbnxzA1p8v4KHbegK/FAIALCERAKxo27oFfjnpMYL85Mc8aXyDv/8egB3G4CgkJ/eBIAi4kluGFnFhounp19kwmS2qc8ywngV+89Qff3+wGI/dNVxK8m498gtKKktxZ+pNSDuRhR8O7wUAtGnX0aupU3WpSurXWJk0aRImTZoke473JUhJSUFKSsq1PiyCIK5jmkQGVxm4PvKHXjh9qRBmk6HG7vME0RBokOkxtrrmcKhlp4IgSC33Ku0uv+XY4wa1VT1nV7TI23tEXLX2VsvK6n35cgN+H97q0NnzNk4iq3Xc/rTQ4GW64SFmfLH9NCYt2iDVy5/PKMakRRtw0t1+jZ3LTHcLJ616LnbY+UUVVb4/AEkGxlxoPfvRPv/qOLtrye63p1WvU0c7rrxBAG9GqB3oatXFM2f4kKCqv2LHzuVh0qINyC30br7ocoklEGaTAZUaUmv+evDWMq8641hT/N9XR5GRW+a1w0V1cLoEGAw6vLZwGKaP7iQ9z86L9X3+6aC20311kK5Fndj+adWCYfj0xQl48/Hhqm19qYi0xtybt5Pyc2PlAWz/rM9yeYVd0Tml+p+rr5Iab/DHHWwxotwmV3eI3xX/9sXfR1g5Bd/OlP091Ifbr0tx39m86xwefOk7/H4hX/o+aJVDablu53H3LlbiAshdzfOKqm+OShAEQdR/xvRvIyarCYKQ0SATBSygUwbyAPDdrx5X1Eq702+DKrNGkKic2DPHdW8GhWw1V5Yo4P7Px8l8IMCOkZ9ca7XI89ZvnCczr1z6f3CQEZ9vF3u/M9PANLeZHwu2WI0va8+hrAd2ugQp4M8r9i9R4C2W4EuA03NKce8kscXaoVNVlzMwWIAeHuLd9NDpElRJCW/bC4LgaafjJcLLLiiXPZ44uB0uZoqBcUy4OtD56/ybpP/rdB6viQMnPTL0dd+ckPlhMJNGk1Gv6fLOX8feAserCSgDJTJUvOZrog+syyXAqNejaZNQDOnVQvV3LcXCd79exKRFG2QKhOrAf+SWIKN2ssjHLcShUSPv7ZajNMWULlH3MQzqIcovS8rtssTQaa5dpL9czXjIe2cbceRMHt7fdFTWJtT7t1uOVcMAlG9ny+51liBfojfxfVmi7nd3cjM9p1TyE8jTSF5qyYaVXhFSosDg+bzz/by/EQRBEARBNASqlSj4/vvv0bKluta9vmE06KDXARUagXNesWdCWGl3+mw71yIuTPq/ltu+MvBibfq8rdyGaikK3P/PzCuTHUtFJa808BwvQ8sxn189EwQBb312ULUNH+zmF1dIwQk7Zla/xdpAsgl3sLubgs3uwtI1u/DOelG6e5mb3Bf4OZHmAyVeVcCf/5EzeTKzSCVMNdIiTt7r+N9fHwegView8/t69zlMWbwRW3+W1/DHRnnMB7Pyy7Fh5xkUlFSgzOqocpX05yNy/4NR/Vrj/afH4K5xXTGmd5Rq+27tPLI2HTxGO3yi579bf8ez7+zlgjCx+4LZZNBMRPFGaw4v5pXV6bLgL1WpFFh7vZpIFDicLsmkTitxF2RWP/e3j0SPDeZL4i+eQLzqwHdAUlNZL1z2mTldAn6/kK/a3ptyxpv7MjuCIOk76JQl1ZSdQfwhr9Dq9+r/5CHtVSai7N76xfbT+OjbkzhxIV+8Rv38RSkrV18P3/7i+U4y9ZRW8mflv/dh5rKvpTFgXRSYAaHTKfhMAGu16+K/G06nS7oP8oqCfjc0Vb2OIAiCIAiiodIgFQU6nQ7hwQZpBUgQPBPH6HBPQGizOzVdsRk3ci7diS2iVH9XBmwsGFImENhqta3SAUEQ8MGXHlMvu8OFi5nFmPPiNvzv+1PS87yEngXQlQ6XVBLAO3cvnzMQZqMeG3eekQKT8goHvt59Xn1S3By5otIpTcjZMUtlG+4AkJ2TyWSA0aBDpd2JQ6dzsfFHsX8tP3r+dj3gHddPnPcEUsoAypt7PwBEuFeqlcY0gCjNVq6YssTLW58dAgBs339J9vfYqGDp//uOZ+HdDUcw69lv4HC6qmwjl5UvVxQYjXpYgoz4w6hOVZrMQeeRzBe4g1le4szG2eWWipuMes2Akl9h3vSTvO8xSw4VlNRMRwAeX+USQM0mCg6dzpU+V7OGqRD/vVOWtTicAha+th2bd/vXE1pKE/gRTBsMeiyd3U96zDpv/O/7k1jx3s/c8Ymfm7fkpM2uVBTISw/Yd54lONk1ezXeD2UVDuj8XP2fM6U7Xl80XPYcf12v++YEFr/xI1yC4LWVKIM5Uf/jC+89ys1GvZTA1Er+7DyQjqLSStn9IrfQ6ul04BJk3wdVNwmN3JaVu3fJFAXcfbZ5bJjqdQRBEARBEA2VBpkoAICIEIMUxLyyNg1TFm8EILZxYSxZ/RN2/nbZazBg0OukNh9aK2VapQ3i8/KZ6NQRHRAfE4LyCgf+uf4wfjuZ49nW4US2W/Z68JTneT6wEriJ7qLXd+L3C/myFdU+XeJhCTKipNyOx9/4Uftk3PATaFulQ3rMghTW6q2i0omzmRVY9LpoLmjQ62AxG1GuaGkoeFFBeONydgn2HfNI6sNDPUoNZfzEVmn5IL5VQjgG92guJYHKNVZTtQJipdpBWUZgMXuXOFe3lru67WaYouDT78RE0X3Pe1pt7jksml6y0gOz0aCZKOCDofScUvyQdgk79oveDGwcq7uq7gum5LikcJDnKbXapUTH1ax687D3Yf9qlQDwQeqDL30nSxxU2p04fbkIa9yJoirxWBT4Bd8OkCWOLmTIx+Zv/xXVDd58UZSJAtYSMDzE3fPZ/d1kiYLgIPb4KktKqnld80SGq00xXS5BtVrPyiUYrzw6FFURZPZc476SIE5FMoB9p12CXFFgUyQwtRI1vD+Ck2uPWButowiCIAiCIK4HGuwsKCzYIAWMO3/z1PMrJ4m5RRUI8VIHq9fr8PL8IViz5GbNVWWvpnEKRYHN7kRspAV5RRX4UrHaW1hSKU2uj5zxOOfzq+l7jmTIXlNe4YDTfR4vPSzWuytreb2tWvIKCj6wt7vPZedvYnCZXVAutV8DxBXEFvFhuMgFhmfTi2TBWIXN4VVWzZj31+/liRJuDPkAanhyS9wyvAMAoHuiR6qvNGGLCg/C/alJWD5noPScVmCfmVcme6ysB/dVgsJ/9neO7YLhfXyX3/B1zd5gZS0Op0sKABlyvwG2Ci0GwsEWo2YJgTL4fHXdfryyVmwLx7wxCoqrrygos9o1ExNNIsXkjS+Vwn7OY+Gjb3/3up0/KFU6WgHcpCHyPsO8wsWbrN8bSiPB6rDg1e04n1GsUj3sPSqWqHi71JTX5JXcMgQHGdCpdTQAT7lFpUM0YbVwpQhXQ1Wr/75g3hM8To1EwR9nyDsO8CUaRaU2zaSJ2WSAzc4UTt5/oirtTkmxYqt0SokCp1OQjYk/33U+UeDikg7K7yZBEARBEERjocEmCvQ69Wqn0yXIVucZZRXaknm9u19uy/hwmRKBmexpmcNt2XNepSiw2hywBBk1pfk5heWaLujM7+D5939WGXLZnS7Y3RPhOPdqu7LmVzkBZ4kHdmxx0cGyRIHV5oDT6cJBt3FgZl65bNXdoNejffNInEsvkp5b8Op2aULeq2McXEL1DfNknRzcE/ib+7bCY9N7w2jQo1VCmCwhIyjkzRWVTqQOTUSfLvHo0kYMqPiAeECSWFe8Zc8FqU8uAJy4IJZwlFfYUVpe6dOQjv94bh/dGYvu9N1Szp9VSINbum23u2R1/gWKVX927ixBEmIxotzmUMmpfXXvCOJUItXl9qc3Y7GGSoUFqeXcdyczr0x2/HyZT6DwHgyAvPRGek4R1L35yQHp//y5K80ntZCaHlxlLP3Emz+qVsNZsoIPVC2ctF7ZzcLuTiJJXTfciQe73QmXS5CUKFpdMPwiAEWBVumHSxBUSh1fioCZy7Zg3dYTGvv2dPbwlcwoq3BwZV1OKUmRU2jFc1zJh/K610pm8uaKDqcLevf3M1pDOUEQBEEQBNEYaLCJgqMXRTk/L5Xf9ssFryvHy+4foHqOb/fXKiFcqq9lk1OtoPjv/zuIjTvPyp5r3yISwWZxJXhYb89qdESoGbmFVs1VS9ZB4eejmaq/fffrRfzo7nrAggdlskN5nr8czcQL//ezJMGPCbfAWmGXAq7sgnJZ8FlUagO/MG4w6BAbFax6H6bWYCt7FZVO5BVZVSUK3uBXetkhjxvYVvIeEFcX+WSCfJW3aROPmeG0UWLLPJYgmj+tF56a3Q8WswG/HFOP40Mvf4/pSzfjjme+9ltRwJg/zXsbHaMfiYKn3DXtkWFmmQLlgy+PybazO1xwOl3Sam2TCAsEQd2Kkn12KQPaeH3PwlIbLmQUY+maXVX6SfyQdklygj97pUj1dxbgWrnPec6L2zDr2W+kxyYumNRymq8OylVhg0Gv2euYqVAAT9kGAHz4lWdc73v+W5kfiBZKfwB/eIOr47faHF5Xo/lL7ZUFQ6XWozkFVmTkepQvDodLtqLu8ShwQRA8yRot01YtLIp6/wDyBJrn5nJW7VEAyK/RnfvTpRIKRpDJ4Pm8dd6TNTJFgd0hJQrOK65Xm92JSYs2YPWnB8TjdH/d3nlqlLSNVVV6IO5LywOFIAiCIAiiMdBgZ0EWszjRm750s/Tc6k8PIu1Etub2URorR0pDvBVzB6JP53gM6tEMRoMOxWU2zdUp1hecMbxPS0SFB6lk2q2bhiO30CpbUTboxRZ4TFGgxe5DGZJ8X8v93eUSVPLmNz45gL1HMiVztRbxYaKc3T0hLrXaVS32jDJFgU5z5TLLLelnE/aM3FLMXrEV81/5wevx8/CrfS4pOPP8PdRiElf83QiCAJ0eaJUgSvcXzegj2xYAitxJlpiIIOh0Okkmr4RXnDCTyA6tolTbaQUqSYmxXs/JH0VBi7gwjB3YFuk5pTIFyu9upQMjPacUU57YhIuZJdDrdIh3J6uUq+Lss2OeGgxB8LSC3LLnPN7dcASHTufi3Q1HvB5bUakNr67bj1Xr0mTP2x0urPz3PlzOLpEC6HKNMoh97habvGmcsjtFddFSQyyaoVZ23D2hm+wx++z4DiaAPHFQoXEO/jVNlcOrjgC1EV+fzvHivt2fR5c20WjTNAK3jugIAPjf96cw9y/bpO3tTnmiIMydoMwtssIpCAgJNiI8xITL2d59Iniiwy0Y1rulZESoZRToL5Gh6i4wOw+ka7ZIfeCW7piTmiQ95tUvFZUOVXKBVyHodMDGV1Jxz8QbNI+DLz1g16Ty3smSYt/svYCCkgqpnIf/nloVpQe+Sh4IgiAIgiAaAw12NjQuOUrz+VNugzAlvMT0jjGdcceYzrifm9wCQPO4MCyfOxAhFhPiokOQlV/utSc6w2TUQ6dzr8Zb7ZJSABADizKrQ6ZM0Ot1CLWYUFRmw6xnt/jeOTwSYN7wb+OPZ7Hsn+qWgjw9O4qBLgvA8osrUFouT4zwzuYGvR6H3GUJPCxhEeGug2dmijkFVp9Gdwze4d+lsYobE2FBfgnfAUJcCV35yFC8u3S0FDwBoiwf4Do1uAOBMD9Ws/OKKhAXHYxURZ27N5iqRCm1BnzXVfO0TghHSbkd2fmeMeDHQ4lBr5M+Z+V2rJ1lXFQI7nSvUAPi58uSRvExIdIq/zd75cksHnY9Hj2bJ3v+3JUi7DyQjlVr06Qafi2/hOXv7gUgV7WUeynv8RctBURMpLq0Qfl5MHl+0yYhmvs9m16EaU99hb0KHxDJzLAay+7s+mN8/O1J2WP2XWXjMmFwOwDw2hlDqSiIibDAoNehpLxSqqPv2DpadU+77/mtmLRog0rx5BIE6PUeJUJI0NWrPMb0b4P7Jt+A/oqWgUrlBwBMvKk9Jg9NlB7zyaWKSnWLWl59ws7/1hEdsGqB2ghRKj2wO6UEgFIBwyeCVq1Nw+VssSNGRGiQlLzZvOucVJ7ldLk0WygSBEEQBEE0JhpsokCrhhmANEnkmTayozThBIAZKV0wI6UL4qO1gwtAbPOVlV/OSZTV20wf3QnvPT0agMdLIDNPXAmOibAg1GJCuc2uShQEmQ349ViWX+3s2ESan0S/t/EIzmcU+3xdh5ZRsscXM4vx7kZ5y7L1ez2r2yajHktm9fW6P61g/Pt9lzS2lLN+xxkpyGXGhvxKX0yEBflFFR7lhtv9PzTYJJWCMFhQ6EkUiCuTStl7705xmseSU2CVdWFgaBnhRYSa8d7S0Zg3VV2CoJU80CLBHbxm5nvk5r58BPR6HSLc12mJIqnDgi2DQYdYLoDOLijHxSzxWrCYDbLr3OF0aa5Ge/M7YCu9VptDSj74SgDwapucQis+3vY7Xv73Pq/be+Pjb3/HX/8lvm66u7wEEMe5eWwopo/uJNv+w2Up0v9ZkJhbKF/p7tQ6Cu+sPyyVpPyQJr9WJY+Cagj0tTox8LDPlvlOOJza5Q3s++BwulTqlOAgI0qtdlgr7NDrdOjQMgoXM4tlqiTWRWX3oSuwO1z44VARyivs7habOsncUpnYqA4Ggx5ThnVAouI+4g8PTOku/d9qc6iSrb247yefKGkZr25PyL5DtkqnNJ5KnnnbkzQ9eMrT2tVk1GP53IGIDDPD6RLwrDvB5XSqvRYIgiAIgiAaGw03UWDSnuhpBX15RRVSze2Y/t5rvHkiQs3IK7Li35uPA9Bur5fYIlIydGMrwRl5ZejcOhofLktBiMUIa4VCUaDTISbCouo73zw2FPdMlMuqAU+QEaER4ALAkF4tNJ+PUyRBDp7Kxe5DGZrbAuKEvUlkMJporOIC6l7lgMewj+GtIwIzFmQtD3kJd5NICxxOlxQYM/d/LdSJAvHyViYKkrsmaL4e0B5HFngpiY8JQWSY9rj7AyuVUJYbMGaN7yp7rNfrJAVFqcK8ko2/XqdDaLDnmHb+lg6ru4b9YmYJCrluGq9//Bvm/fV7lfLDm18DKyexO1zSZ8m8KPguHQx+N7ZKJ/7z9QnJW8Mb63ecwXZ3W0fGf7Z4DO+UnQ3e/tMozBwrHyf++mGX5bkM+SrzyYuF2PjjWax171vZEaLUKo5vdc0MvX0/goM8dffHz+cDAErKtcuLpjyxCS6XgL1HMlUJvyaRFny9+zzKKhwoKLEhMswMlyC2gFWqTL779SK++/UidhwpwWc/nJYC4MSWkeIxBZAoYMRFVd+wMlpRouF0CogK8yi62jWPkP7P3xu17rEj+7YGAJxJL9JsleoPLCF8+lIhXvzgF5lHAeD/bwJBEARBEERDosEmCpqE+z8JnjpCNED7/K+T8PBt3k3qeMKCTcgvtuHz7afdz8iDK4vZgAFJnh7icVxpADO7C7YYUelwyYIsu8OFpES1Sduf7x8g1TJrYTTosWLuQNXzfbvGaxqPBXtpCekNJjVvFR+u+Xd+cs84djYfgiBIK9STH9+o+VqWvGHycr7VI5OXsyRCbqFVlURhsHPKdvexZ4kC5cppZJh3J3N+xZ2hNA7kaZWgPR7+UFWNOG/UCHj8K4KDDCgur5T5D7C2lwa9Tqbu2LDzjGwf+zmPju1pYkCekVuGC5nFkieHVqKAD2r5cgZWejBzmbxMptRql/bjzxjZHS6cuJCP9zYewaq1aThwMhu5hVZ8s79Qtp2/dfV3jOkse8yuiakjOmgaPlptDpmSgnl5VLf14PK5AzWTTVFhFhw/n4+iUpvU5WRwj+Ze95O6WPu70pIby33Hs6Rk066DV1S+E7+dzMGFTDHR8Mm2k8gvrkCwxSj5WGiVjVQX5XfparwoHE4XRvdvjdtu7qjaJ6+U4MsBnprdD+MHtUVcdDASYkLw1a5z2FlFEsobvDJpz+EMZOWXw6D3/DQ+8odeeHaG75aoBEEQBEEQDY0GmyiICjX67IH9t4XD8H/PjMGmValo3VQMck1Gvd+1qcp9WxXO46//cbhMUhzBrTyzmmRlYAuIE2M+qQCI7QKZGRszXezcOlrVqSE+Rl0qodPp0MG9gsho3yJStR3PA7d0Vz3H5NJtmqkTAgCQ1L4JBvVoJnvu8JlcLHh1Oxb+bYfmaya6a7StNgfW7ziDf7nVGWZF6QEgBuvfuk0itToYAJ7EACsvYbJlZTCjNGKbydX0Kw3pAGBE31aa7wcATWNCYDTo8cgfemFM/zbo7G7RWBMoyzmy3NdJWIgZOQVW3PLEJkkuzZceJHKfN1vFVn42PHanC/NX/oA7nt4Mm7v1npIV7vdhsMTRyYsFmt0/cgutUhJjRLI8yOK3FwQBFZUOfPvLBVkbxmfe3oN7ntuKPSfkpUK+2u3xKDsiMNl/WIhZs0zmfEYx5r/yPQqKK/DeRk/A7S0p5Y02TSPw3tLRqueZN8TMZVuw+tODAIDoCM916a/SnZffP3xbT4RYPOdisztVqh1W6sQItZjQrpl4ffjbLcEXyu/W358Y6dfrnpgpL2PS6XSYNb4rPntposxYtpkiWfbU7H545dEhGNi9mVT246tE7M3HR2g+H8olD7XMTpVqKIIgCIIgiMZGg00UAMB/lo+VPW4e65l0hgabZAaA1SXtRJbssdLATlmvzMtm27eIAuCZqG/ec162LT9RXrtiHBbe4XH2v6GdGAA9fW9/9FVI6JvGhKhqmivtTvzp7n7S45v7tsKL8wYDAEbdKMp2E2JCpEAlItQsmazxNHOPHS+179UxDt3d7v8Gg162cswCtXNXinE2vQiTFm1Q7ZMpJApKbLLgTGlmCAD5xVa88ckB1T54lLXebLI/I6WL7HmlamDSkPb45MUJ+Oj58TCbDNi0KhXTRorHtn7lZEwZlghvGAx6fPHyJIzp3waP/KEXXnlUbbjmjXZeki7NY0Px+J3JqpKJQ6dFM8k+neOx53AGnC4B+09k42x6EVySokCPEItJ+mwZym4APF/+5GnnuWP/Zc1EwQmuPMJs1EvbOJwC7lr2tWr7I2dyJdm/cryZrB8A9h7JwLQ/fYUTbjl+VfjbrrBr2xjN5w+czFZ1M2FcyirFv78+jvU7PCqMkmomCgBREaNU7GgpVfh7xOuLRmBOahI+fmG8bJv2zeVJvVh3UGsy6jF2YFtZ4sDlElS+JscV42oxG5DcNQGzJ3TDXePkJRtXQ6fW0Vh0p6f7hL+1/UN6t5ApoMxu01ezySBL5CiTnwO7N0PnNvLPVvDSo+LDZSloy33H+P+/+NBN0v+1yofIo4AgCIIgiMZOg04U8JP1eyZ2w11czbdy1b66sFU5BnPP7tImGgum90JctPf9sxVtVvuqDMz4ACI8RB4sPnZHb7w8f4hmO0eDQa8ycbTanIgKD8LHL4zHkll9sfCOPlIAyoLHrPxy9HO7l4daTKpg7KPnx0sBO1u9a988Ekvv7Yc/39df6kfO1xnP1vBTUBITEYTgICPWbjnuYxvxffm2a8ogmOe+yZ5OFWxxlZ/0t2seIQuuuraNgcUsBnZ8YD5rfDdsWpVaqwGDwaDH6H7iuXy4LEXyJOh3Q1MM69PS6zU0qp/8/Be8ul0aH+bfsOD23ujV0WMK52sl/my6p37/zU8OYPPu86ptWDvKHh1ikVtUgUIuIC3jDA0fmtoDZqMeh07nSqvbyms1jyvl+OS7UwDEhFJNYjYZMH5QW9XzLePDfba2/PaXi7LHw5OvTnLOy/qnj+qEP9/X3+f2bZtFYPLQRJlCYNGdyXh90XDZdmwsmSqDT86dvFiIu5d/A8CTFC1TJEVsdhcMeh2m3txR8x5yNQzv0xLxMSGIiaje/nhlE++lYjIaMGVYokqJ4g1mgqqE3TuYeoBXCzXjksZThiWqDE4N1B6RIAiCIIhGToOfDb23dDRWLx6BKcM6oLV7Uh0TERTwRPAhhZfBH2f0wXtLR+O5BwZhVD/f5ldMGh8VHoR+3Zqq/t6tnbhiFhtpUQXtFrMRXdtpr5YC8qANADq2igIAhFhMuKmn3NgwKjwInVpH4Z6JN0glBRl5ogP/8w8MkrbjZbj9b2iKTq2jcP+UJFjMRliCjFItPUuWhAab0Lm1dwn+3Cnd8emLE2Aw6NGueYTKwZ/HbBKd+nmfAIuPOnW+zSWvIBk7sC2mDEvEG4tGwBJklEo5Xpg3qE5boc2b2hP/eHIkYiIsUvKKnSszwgRExcpDU3sA0E5yvfbf/QDknxVfghBkMuD1Pw6XHrNacovZoOpc8NWuc6r9X8oSr9kkt1Iku8CquUqekVeOSocLew5nSIma6PAgWVB6+LSnzeZpd2u/PB8+EFfLjJQu6NetKf50943Sc7MndMOw3toGn0qG92mpKUv3B/a9W7PkZswc1xUhFhOG9a5e0oG/fhlaY85aFPI+Esr7E0v0VNSAL4EW/1gyEu8uHVOt10SGBWHxzGT8cUYfNI+TdzS4b3IS/jgj2csr5dw2Uu7dMm5gW7y2cJj0mBmAdnB/JoD8HmIyGrCCu98Bvn1JCIIgCIIgGgOB217Xc3jpaoI7oJ14U3tvm/tNaLAJwUEGWG1OfLgsBaHBJpVUXMltN3fE/74/JXOzZ72/pwxLxPodZ2A2itLx9Ssn+123zDNvag+s+ewQAGDdc+M0AwueVQvECfXFzGJZ3/eeneIwpnckfjlVIVM4WIKM0muUsITByL6tvErEN74yWfa3QT2a49g5UR6dOjQRtwxXy/xDLEbZKnfKwLZez4epBUb3ay17H6VJ5erFI5BfVFFlS7vaxmTUS0kLNn68G/34QW2xefd5vP2nkZKaIyrcu9M8n/S4fUxnHDuXD4fThWCLCe1bmPHgrT1w6HQO2jWPxNotJ2Ay6n22ZIyJsKBbuxj8dPAKAEhJqvziCpiNenRpEy0rSwgN9hx7gVvloNPp8K9lKSguq8TMZVvw/qajOHwmFwM5s09vHQAAcVX/kWm9fHqOaBEZFoRnFCv5zChz2siOaBJhwT++EFuCzpmShMtZpfiaKwNKz1G3UvWXJbNuRH5RBVpy5p8zx3XBjt8u+3iVyMI7+uC1/+6XrXozmrrbAd7M+WY8PK0nKiodOHjKk4Dp2TEO8dHByC6wIixYjydn3YiHV/6AgT68KgJBWfLkL0OrmTzRYkBSM7z1xM146OXvAaiTJMzwMTzEDKNBD4fTpXl/ev2Pw7H78BV8/O1JnLyk3YmEIAiCIAiisdDgEwU8QSYDNqycXO2WZ9746PkJEOB/Peus8V1x+5jOMhn4o9N749DpHNzctzXGDWwLu9vl+2ol72MHtJUSBVUlCXhaN43AB38eg4hQz8rvoK7heGTmcL/3odfr8PlfJ0qO4VFhQSgstWHcoLYoKK7A9NGdVRP0ft2aSm7tYwe20VzB5VsvThvZUVZrrCSxZRReeXQIOlTR391o0GuaP9YlXdrG4ImZfZHcNV56bu4tPTCmfxuZYRt/bTx0W0+89b+D0mO+9MRiNuLlR4bI3mPC4HaYMLgdikpt2HXwChbPTMbDK8W2hy8+NBh7Dmdgk7vP/B9n9MFNPVugoKRCShR04pQilQ4XnrqnH2Y9K8rdmzYJwdQRHTG4R3PM++v3kqeETicmC3jju1+PZeHXY3KfDwBYeEdvlJTbZQ7+i/xcWfbFplWpssezxrtLY3Q69OgQi1YJ4Th9qRBf7zmP9i0icTa9CKfcaoerISEmROamD8i7WIzzkey6uW8rWSKAp0lkML54eZLMEyU63IL7U7vjEXf7ynsm3gAAePmRIXjklR9w+5BotG4aoRqDhkTL+DBMHdEBA7qrEyF3juuC5977GUEm0U/EG+1bRKJVQjg+/vYkpo3sVJuHSxAEQRAEUe9pVIkCADUqM6/uvnQ6napWPDYqGDe7e4Er5bdXe0xrV4yD06Vdt+uLq5VZ8/Ar9P98ahScLkHTZZ7RLDYUT8zsi2Pn8qSVdSVP39MPj722AxMHt8Mf/JjAK83OrieGKGTxYt/7KNV2H/x5DE5dKkS/bk1RWl6JXp3icDa92O92jZFhQZIjPB9Adk+MxYCkpli6Zje6to2ByahHfHQIHry1By5nlSDEYsLgns2x6+AV3Ny3FaLDLZgzJQnvrD+Cp2b3g9GgR8v4cHRqHYWTFwsByI0+H7ilO952r+IzurWLwbFz+QgNNknfhYmD2+H9L48iI0OdTKhJeOPODq2iJMXLGx//pjILrQneeWoU7A5XQG01lcapANDKraTpnhiLW93tXptEBmPdc+ORlpZ21e91vaDT6TDbnSBR0q9bU7yxaLhfY24y6ht0QoUgCIIgCMJfGl2ioDGg1ce9LlA6v3tjSO8WqgCZJ7FlFE3eFTSJDJYSO2z1s2OrmmnN2KNDnGq8+YB68cy+mD6qGO3cjvyThyRi8hB5yciKuYMwf+X3MJsM0naAWPYz8ab2uJJbig++PIY9hzOw9J7++PVYJoYne1bRDQY95qR2R1pa9bsOBAJTvDw6vXet7L9pE3U5QU1gMOjxjydHyjw6CA/tFN0jCIIgCIIgCN9QooAgiGph0OuqDLxCg034vz+neP1789gwqY4/ItSMkT46WRD+4U2RQxAEQRAEQRDVpcF3PSAIon5i0Ot8thElCIIgCIIgCKJuoEQBQRAEQRAEQRAEQRASlCggCIIgCIIgCIIgCEKCEgUEQRAEQRAEQRAEQUhQooAgCIIgCIIgCIIgCAlKFBAEQRAEQRAEQRAEIUGJAoIgCIIgCIIgCIIgJChRQBAEQRAEQRAEQRCEBCUKCIIgCIIgCIIgCIKQoEQBQRAEQRAEQRAEQRASlCggCIIgCKJO2bRpE8aPH4/Ro0dj7dq1qr8fP34cU6dORUpKCpYuXQqHw1EHR0kQBEEQjQdKFBAEQRAEUWdkZWXhtddew7p167BhwwZ8/PHHOH36tGybxYsX45lnnsE333wDQRDwySef1NHREgRBEETjwFhbOxYEAQBQWVlZW29RJTabrc7eu6FAYxg4NIaBQeMXODSGgVOTY8h+F9nvZGNn9+7dGDBgAKKiogAAKSkp2LJlC+bPnw8ASE9PR0VFBXr16gUAuPXWW/HGG29gxowZfu2f5iMNAxrDwKDxCxwaw8ChMQycazkfqbVEgd1uBwCcPHmytt6iSo4cOVJn791QoDEMHBrDwKDxCxwaw8CpjTG02+2wWCw1vt/rjezsbMTFxUmP4+PjcejQIa9/j4uLQ1ZWlt/7p/lIw4DGMDBo/AKHxjBwaAwD51rOR2otURAaGopOnTrBZDJBp9PV1tsQBEEQxHWFIAiw2+0IDQ2t60OpF2itZPDzhqr+XhU0HyEIgiAINVXNR2otUaDX6xEeHl5buycIgiCI6xZSEnhISEjAvn37pMfZ2dmIj4+X/T03N1d6nJOTI/t7VdB8hCAIgiC08TUfITNDgiAIgiDqjEGDBmHPnj3Iz8+H1WrF1q1bMXToUOnvLVq0QFBQENLS0gAA69evl/2dIAiCIIiaRyeQmxJBEARBEHXIpk2b8Pbbb8Nut+O2227DnDlzMGfOHDz66KPo3r07Tpw4gaeffhplZWXo1q0b/vKXv8BsNtf1YRMEQRBEg4USBQRBEARBEARBEARBSFDpAUEQBEEQBEEQBEEQEpQoIAiCIAiCIAiCIAhCghIFBEEQBEEQBEEQBEFIUKKAIAiCIAiCIAiCIAiJ6ypRsHr1akyYMAETJkzAyy+/DADYvXs3Jk2ahDFjxuC1115TvWbJkiX4/PPPpcdpaWmYOnUqUlNTcffddyM9Pf2aHX99oCbGkHHs2DEkJSXV+jHXN2piDLOzszF37lxMmTIFt99+Oy5fvnzNjr+uqYnxu3z5Mu68806kpqbirrvuou8xvI/htm3bkJqaismTJ+Ohhx5CUVERAODKlSu48847MXbsWMybNw9lZWV1ci51RU2MYWP/PWnM0HwkcGg+Ejg0HwkMmo8EDs1HAqdez0eE64Rdu3YJ06dPF2w2m1BZWSnMmjVL2LRpkzBs2DDh4sWLgt1uF+69915h+/btgiAIQmZmpvDAAw8IPXr0ED777DNpPyNGjBCOHz8uCIIgfPrpp8KDDz5YJ+dTF9TUGAqCIJSXlwvTp08XOnXqVBenUmfU1Bjefffdwrp16wRBEIR169YJCxYsqIvTuebU1Pg9/vjjwtq1awVBEIR//etfwqJFi+rkfOqC6oxhSUmJMHjwYCEzM1MQBEH429/+Jjz33HOCIAjC3LlzhS+//FIQBEFYvXq18PLLL9fZOV1ramoMG/PvSWOG5iOBQ/ORwKH5SGDQfCRwaD4SOPV9PnLdKAri4uLw5JNPwmw2w2QyITExEefPn0ebNm3QqlUrGI1GTJo0CVu2bAEg9mQeOXIkxo0bJ+2jsrISCxYsQJcuXQAAnTt3RkZGRp2cT11QE2PIeOmllzB79uxrfAZ1T02MYX5+Pk6cOIHbb78dADB16lQ89thjdXE615yaugZdLhdKS0sBAFarFRaL5ZqfS11RnTG02+149tlnkZCQAMBzz7Pb7fj111+RkpICALj11lulMW8M1MQYNvbfk8YMzUcCh+YjgUPzkcCg+Ujg0HwkcOr7fOS6SRR07NgRvXr1AgCcP38emzdvhk6nQ1xcnLRNfHw8srKyAAD3338/pk2bJtuH2WxGamoqAPGLvXr1aowaNeranEA9oCbGEAC+++47VFRUYOzYsdfkuOsTNTGGly5dQvPmzfHiiy9i8uTJePTRR2Eyma7ZOdQlNXUNLliwAB988AGGDBmC999/H3PmzLkmx18fqM4YRkdHS/e4iooK/POf/8SoUaNQUFCAsLAwGI1GAOIPFRvzxkBNjGFj/z1pzNB8JHBoPhI4NB8JDJqPBA7NRwKnvs9HrptEAePUqVO49957sWTJErRu3Vr1d51OV+U+Kisr8fjjj8PhcOCBBx6ojcOs1wQyhjk5OVizZg2eeeaZ2jzEek8gY+hwOHDs2DEMGjQIGzduxMiRI/Hkk0/W5uHWOwL9Hi9ZsgQrVqzAjz/+iOXLl2P+/PkQBKG2DrdeUp0xLCkpwZw5c9ClSxfccsstmmPlz72zoRHIGDIa++9JY4bmI4FD85HAoflIYNB8JHBoPhI49XU+cl0lCtLS0jB79mwsWrQIt9xyCxISEpCbmyv9PTs7G/Hx8T73UVZWhvvvvx8OhwNr1qxpNJlTRqBjuH37dhQWFkrGLQCQmpoqya4aA4GOYVxcHEJDQzFixAgAwMSJE3Ho0KFaP+76QqDjl5+fj7Nnz0rZ0pSUFOTk5KCgoKDWj72+UJ0xzM7OxowZM9ClSxe88MILAICYmBiUlpbC6XQCECfcVd07GxqBjiFAvyeNGZqPBA7NRwKH5iOBQfORwKH5SODU5/nIdZMoyMjIwMMPP4xXXnkFEyZMAAD07NkT586dw4ULF+B0OvHll19i6NChPvezePFitGnTBq+//jrMZvO1OPR6Q02M4bRp07Bt2zZs2LABGzZsAABs2LABYWFh1+Qc6pqaGMPWrVsjISEBO3bsAAD88MMPuOGGG67J8dc1NTF+0dHRCAoKwr59+wCIN9jQ0FDExMRck3Ooa6ozhk6nEw8++CDGjRuHpUuXShlpk8mEvn37YvPmzQCA9evXV3nvbEjUxBgCjfv3pDFD85HAoflI4NB8JDBoPhI4NB8JnPo+HzHW2J5qmffeew82mw0vvfSS9Nztt9+Ol156CY888ghsNhuGDRvms07t2LFj+O6779ChQwdMmTIFgFj38c4779T24dcLamIMGzs1NYarV6/GsmXLsHLlSoSFhcn215CpifHT6XRYvXo1nnvuOVRUVCA0NBRvvvnmtTj8ekF1xnDbtm04duwYnE4nvvnmGwBAUlISXnjhBSxbtgxPPvkk1qxZg2bNmuHVV1+tq1O65tTEGN55552N+vekMUPzkcCh+Ujg0HwkMGg+Ejg0Hwmc+j4f0QmNrZCGIAiCIAiCIAiCIAivXDelBwRBEARBEARBEARB1D6UKCAIgiAIgiAIgiAIQoISBQRBEARBEARBEARBSFCigCAIgiAIgiAIgiAICUoUEARBEARBEARBEAQhQYkCgiAIgiAIgiAIgiAkKFFAEARBEARBEARBEIQEJQoIgiAIgiAIgiAIgpD4f+XzWxiu9FvdAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1,2,figsize=(18,6))\n", "\n", "ax1.plot(arch11.conditional_volatility)\n", "\n", "ax2.plot(arch11.conditional_volatility)\n", "ax2.set_ylim(0,4)\n", "\n", "plt.suptitle('10-Year Actual Historical GARCH-Fitted Conditional Volatility')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The volatility spikes generated by the Phat distribution may seem dramatic but relative to the spikes seen in 2020 and 2008, they may even be conservative. *Note that the Phat residuals are able to mimic the tendency for volatility to stabilize below 1x for significant stretches.*" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can replicate this outcome in `arch` as a test. NOTE this does not include the ARMA process." ] }, { "cell_type": "code", "execution_count": 24, "metadata": {}, "outputs": [], "source": [ "def custom_rng(phat):\n", " def _rng(size):\n", " shocks = phat.std_rvs(size=size)\n", " return shocks\n", " return _rng" ] }, { "cell_type": "code", "execution_count": 25, "metadata": {}, "outputs": [], "source": [ "sim1 = arch11.forecast(\n", " horizon=days,\n", " simulations=n,\n", " rng=custom_rng(phat),\n", " method='simulation',\n", " reindex=False\n", ")\n", "\n", "sim2 = arch11.forecast(\n", " horizon=days,\n", " simulations=n,\n", " method='simulation',\n", " reindex=False\n", ")" ] }, { "cell_type": "code", "execution_count": 26, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax1 = plt.subplots(1,1,figsize=(10,6))\n", "\n", "ax1.plot(sim1.variance.values.T, label='Phat Residuals')\n", "ax1.plot(sim2.variance.values.T, label='N(0,1) Residuals')\n", "\n", "ax1.set_xlabel('Days')\n", "ax1.legend()\n", "\n", "plt.suptitle('1-Year PHAT-GARCH Forecast: Conditional Variance')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "### 1-Year Price Forecast ###\n", "\n", "We can generate price forecasts simply by calling the `plot` method on our `GarchcasterResults` containers. First, we show 4 sample simulations, assuming a starting price of $1." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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\n", 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\n", 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "axes = res1.plot('price', p=1, n=4)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Below we show the end price distribution." ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "image/png": 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MDMT58+fr7XPlyhXcf//9cHV1hUwmw+jRo/Gf//wHly9fhrOzM0aNGgUAePbZZ/HYY4+Zt5PsFAfSExFRu5P5r1UN3nMJHQmPIROh16qRvf3tett0Oh30g8bDbcA46CpKkbNrfYPj3cMi4dp7lEnnnzRpEg4dOoThw4fj4sWL6NmzJwRBAAAUFhZiw4YN+PLLL+Hh4YHt27dj/fr1ePPNN7F9+3b89a9/hZeXF3bu3IkvvvgCQ4cOBVAzNcY333yDY8eOYePGjRg7dizGjx+P8ePHNzh/bm4u/Pz8DK99fX2RnZ1db58+ffpgzZo1WLBgAZycnHDs2DEIgoDbt2/Dx8cHq1atQlJSEnr06IHXXnvNpM9Nd8fQRUREZGbh4eH48MMPodfr8eOPP2LSpEk4cOAAAODChQvIysrC7NmzAQB6vR4eHh6QSqX4+OOPcezYMaSkpODMmTP1BnOPHj0aANC9e3cUFxff9fy1Aa+uOweGjxgxAtOmTcMTTzwBT09PjBgxAhcuXEB1dTXOnDmDv/3tbxg6dCg+/PBDvPvuu3j33Xdb0yUEhi6yQRK5UuwSiKiNu9vUM1KFQ4Ptdeekkjm7t3rqGldXV/Tq1Qvx8fE4ffo0Fi9ebAhdOp0OgwcPxl//+lcAgFqthkqlgkqlwvTp0xETE4OhQ4eiZ8+e2LZtm6HN2sWnTfmmpr+/P/Ly8gyv8/Ly6t35AoDy8nJERERg7ty5AICtW7eiU6dO8PX1RefOndG7d28AwJQpUxAbG9uK3qBaHNNFNsd7xqvoOGslAECj1RnZm4jINk2aNAkbNmxA3759IZf/cY9jwIAB+O2335CSkgIA+OSTT7B27VqkpqZCKpXi2WefxfDhw/Hzzz/XG4zfHGPGjMH+/fuh0+lw69YtpKamol+/fvX2SU9Px6JFi1BdXY2ysjJ8++23mDRpEgYNGoTCwkIkJSUBAI4dO4Y+ffq0sBeoLt7pIpujVMgQvbhmyoj9G2JEroaIqGXCw8OxYsUKPP/88/Xe9/X1xZo1a/DCCy9Ar9fD398f69atg7u7O0JDQzFp0iQ4Ojpi6NChyMzMvOs5jh49imPHjuHtt+uPUZs4cSIuXryIBx98EADw9ttvw9HRETk5OXjmmWewb98+9OrVCxMmTMCDDz4InU6HOXPmICwsDADw8ccf44033oBarUZAQADWrl1rxp6xXxKhsQe/VqJWq5GQkIC+ffsabptSjfj4eMPFb2+K/vctvjp4FYer+jcIXfbcL01hnzSO/dK49tgviYmJCA0NbVUb9rrkzd2wTxpeW63NLXy8SDanMvUSeiiyxC6DiIjIrBi6iIiIiKyAoYuIiIjIChi6iIiIiKyAoYtsjtTJFRUCv1hBRETtC0MX2ZyAGa/g7+UPiF0GERGRWTF0EREREVmBSaFr48aNmDx5MqKiorB169YG2xMTEzF9+nRERkZixYoVqK6uNnuhZD8Kf/oKU5x+FbsMIiIiszIaus6cOYPTp0/ju+++w65du/Cvf/0LN2/erLfPkiVL8Nprr+HQoUMQBAE7duywWMHU/lWlJ6GLPM/4jkRERG2I0dB133334csvv4RcLkdBQQF0Oh2cnZ0N2zMyMlBVVYWBAwcCAKZNm4aDBw9arGAiIiJbd/r0aUyaNMksbZ07dw49e/bExx9/bHjv/Pnz9drX6XR47rnnUFlZif3792Py5MmIiIiot2B2XU3t8+233yImJgYxMTGYOXMmwsLCsHq18cW/y8vLMWXKFKSnpze5z7FjxzBt2jRMnDgRb731luH9zZs3IyoqClFRUU0uN2TKPrNnz0ZUVJSh/gsXLtT7PDExMYbPk52djaVLlxr9XOZm0tqLCoUCmzZtwt///ndMnDgR/v7+hm25ubnw9fU1vPb19UVOTo75KyUiImojEhMT0bt3b7O0dfnyZfTv3x9HjhzBokWLDO/Vbf/rr7/G/fffj9LSUnzwwQfYvXs3lEolZs6ciWHDhuHee+817JuTk9PkPg8//DAefvhhAMDFixfx8ssv47nnnrtrfRcuXMDKlSuRmpra5D5paWl4/fXX8e2338Lb2xtPPvkkjh8/DoVCgRMnTmDPnj2QSCR4+umnceTIEURERBiOjYuLM7qPIAi4efMm/vvf/zZYXLz28yQnJ2PRokV47rnn4OXlBW9vbxw/fhxjx4414U/BPExe8Do2Nhbz58/Hs88+ix07duCRRx4BUPNB7ySRSJpVREJCQrP2txfx8fFilyCKjnV+1mh1UCpkAABVRRUA++2Xu2GfNI790rj21i9yuRwqlarV7ZijjVoXLlxAz549G7RZVFSEtWvX4ubNm9BqtXjiiSfw0EMPobCwEO+88w5u3boFb29vhISEIDAwEE8++SQuXryIiRMn4ptvvkFSUhKCgoJw4cIFdO/eHSqVCoIg4Msvv8SXX36Jn376CUOGDIFCoYAgCBg3bhz279+PZ555xlCDKfsAwJo1a/CXv/wFDg4Od+2bf//733jllVfw2muvobKystF9f/jhB0RERMDNzQ0ajQZr1qyBUqlEfn4+nn/+eWi1WgBASEgIUlNT67Xh6upqdJ+UlBQAwLx581BYWIiHHnoIM2fOrFfDa6+9Vu/zREZG4t1338WQIUOa/Gwajcasf1+Mhq4bN25Ao9EgNDQUTk5OmDBhAq5du2bY7u/vj/z8fMPrvLw8+Pn5NasILnjdUHtclNZUueknUKKvAAAoFTJEL94HAIbFr+21X5piz9fK3bBfGtce+yUxMbHewszHU07jp5S4ZrWh0+kgk8mM7hfedSTGdh1udL/k5GQ88sgj9eoSBAFz587FY489hk2bNqGoqAgTJ07ExIkT8fLLL2PGjBl4+OGHkZqaiokTJ+If//gHXFxckJSUhFmzZqGoqAgnTpzAvHnzkJSUhOnTp8PFxQWJiYlwd3dHQEAASkpK0LFjR8N5g4KCcPHixXp1mLJPXFwc1Go1pk6davSzvvfeewAAqVQKJyenRhfJzsrKgkKhQGxsLPLy8hAeHo4XXngBgYGBhn1SU1Nx5MgRbN++vV4b/fv3N7qPVqvFyJEj8X//93+oqqrC7Nmz0atXL4waNcrwebRabb3PM2DAAKSkpKC6uhoeHh6NfjalUokBAwYYXtcueN1SRsd0paenY+XKldBoNNBoNDh69Gi9v7BBQUFwcHAwJMG9e/dizJgxLS6I7I9Gq6v32i/mefxLNVqkaoiIWqeyshIpKSkNHi+eOnUKcrkcMTE1/4Ds0KEDvL298cMPP0AQBMNjsC5dusDJyQl9+/aFWq1GSkoKQkNDMWHCBBw+fBgajQY3btwwtJ+amoqAgAAApj19MmWf7du34/HHH29hDzSk0+lw6tQprFu3Djt27MClS5ewZ88ew/bk5GTMmzcPS5cuRZcuXRpt4277DBo0CGvXroWzszO8vLwwY8YMHD9+vN7nmTt3boM2AwICcPv2bbN8RlMYvdM1duxYXLhwAVOnToVMJsOECRMQFRWF+fPnIzY2Fv369cP69euxcuVKqFQq9O7dG7Nnz7ZG7dRO1L2bBfxxR4uIqCXGdh1u0t2oulQqVaN3aFri2rVrCAgIaHD35OrVq/WCWFlZGQoKCqBWq9G3b1/D+zdv3oSfnx9cXV1x4cIFBAcHw8XFBf369UNOTg5OnDiBgIAAuLu7A6i5w1R7l87f3x/nzp0ztJWbm9vg6ZOxfTQaDc6ePYtVq1Y1+vk2btyIY8eOAagZejR+/HijfeLj44MRI0bAy8sLADB+/HhcvHgR06ZNQ3x8PGJjY7F8+XJERUU1eryxfc6dOwetVosRI0YAqAmWtWO7aj/Pu+++2+A4uVwOqdR6U5aaNKYrNjYWsbGx9d7bsmWL4edevXph586d5q2M7Fb+4b/jIeeb2FMxVOxSiIia7c5B7rUCAgLw888/Q6/XQ6/X480338TMmTPh5eWFuLg46PV6aDQavP3224YQdvnyZfTp0wdAzd2ocePGYdOmTfXaDwkJQWZmJgBg5MiR+Oijj1BYWAgnJyccPnwYb775Zr06jO1z7do1w922xjz//PN4/vnnm9Un4eHhWLp0KUpLS+Hi4oL//e9/GD9+PLKysrBo0SJ88MEHhsB0J1P2KSsrw6ZNm7B9+3ZotVrs2bMHb7zxRr3PU3fmhVrZ2dkIDg5u1mdpDZMH0hNZiyYnFUGyQrHLICJqkcTERMTFxWHcuHGG95YsWYLIyEicPHkSU6ZMgSAIiIyMRGxsLKqqqvDjjz9i4sSJCAkJgbOzsyFcXLlypV7AioiIwFdffVVvuohevXqhqKgIZWVl8Pf3x4svvojZs2dDq9VixowZhjFRMTEx+Pzzz++6D1DzTcPax5V11T3eFHX3HzBgAJ5++mk8+uij0Gq1GDVqFKZPn441a9ZArVbXuws1c+ZMzJo1y3D8F198YXSf8PBww1M5vV6PRx99FIMGDbrr50lKSkLXrl2bHM9lCRKhsYe7VlI7II0D6Rtqj4Nd76bu48XPBsbj0o18bC6LxP4NMfUG0ttbv5iCfdI49kvj2mO/JCYmIjQ0tFVtmPPxYnOVl5fD1dUVQM1neeWVV/Dvf/8bbm5uJrfx5ZdfQiqVmnUc1p19smbNGsTGxhpqtTRLn2/NmjUYOXIkHnjggSb3ufPaam1u4Z0uIiIiEX3zzTfYuXMnHB0d4enpiXXr1jUrcAHArFmzEBsbi+nTpzf5WLA1BEFA3759rRa4LH2+rKwsFBQU3DVwWQJDFxERkYieeuopPPXUU61qQ6FQ4NNPPzVTRQ1JJBI8+OCDFmvf2ufr2LEjNmzYYLH2m2K9IftEJlJ4dUSezl3sMoiIiMyKoYtsjm/UQnxT0fg3VIiIiNoqhi4iIiIiK2DoIpuT98OneMT5lNhlEFEbIuIX8amd0uv1Zm+ToYtsjrYwC76yUrHLIKI2wtHREQUFBQxeZBaCIECj0SAjI8Ps04jw24tERNSmBQcHIz09HXl5eS1uQ6PRQKlUmrGqts+e+0Qul8PDwwM+Pj7mbdesrRGZSKPVQamQiV0GEbUDCoUCXbt2bVUb8fHxGDBggJkqah/YJ+bHx4skitpFruvORE9ERNSeMXSRzVH6d0GGzkvsMoiIiMyKoYtsjs+EedhTMVTsMoiIiMyKoYuIiIjIChi6yObk7tuIJ1z+1+B9jVaHsLCweq+JiIjaCn57kWxOdWkBPKQVDd6vHXxfa/+GGGuWRURE1Cq800VERERkBQxdRERERFbA0EVERERkBQxdZHMcg3sgtdpX7DKIiIjMiqGLbI5X+OP4vnKw2GUQERGZFUMXERERkRUwdJHNyd65FvNc/yt2GURERGbF0EU2R19ZDmeJWuwyiIiIzIqhi4iIiMgKGLqIiIiIrIChi4iIiMgKGLrI5jh16YckbUexyyAiIjIrhi6yCo1WZ/K+HUY/jMNV/S1YDRERkfXJxS6A7INSIUP04n2G1/s3xIhYDRERkfXxThfZnKyv38IC1/+IXQYREZFZMXSRzRGqNVBITH8cSURE1BYwdBERERFZAUMXERERkRUwdBERERFZAUMX2Rzn7mG4rA0WuwwiIiKzYugim+M5PAY/VfURuwwiIiKzYugiIiIisgKGLrI5mf9ahefcDoldBhERkVmZNCP95s2b8eOPPwIAxo4di1deeaXB9l27dsHd3R0A8Oc//xmPPfaYmUslIiIiaruMhq64uDicOHECe/bsgUQiwdNPP40jR44gIiLCsE9CQgLef/99DBo0yKLFEhEREbVVRkOXr68vli1bBqVSCQDo1q0bMjMz6+2TkJCALVu2IC0tDUOHDsXSpUvh4OBgmYqJiIiI2iCjY7q6d++OgQMHAgBSU1Nx4MABjB071rBdpVIhNDQUS5cuxZ49e1BaWopPPvnEYgUTERERtUUmjekCgOTkZCxYsABLly5Fly5dDO+7uLhgy5Ythtfz5s3D8uXL8eKLL5pcREJCgsn72pP4+HixSzCbsLAwk/d1CR2J3xIvmLRve+qj1mA/NI790jj2S+PYLw2xT8zLpNAVHx+P2NhYLF++HFFRUfW2ZWZmIi4uDjNmzAAACIIAudzkLAcA6Nu3Lx9H3iE+Pr5ZQaU98RgyESe+Vpu0r732UV32fK3cDfulceyXxrFfGmKfNKRWq1t1o8jo48WsrCwsWrQI69evbxC4AMDR0RHr1q1DWloaBEHAtm3b6g2yJ2ouvVYNBarFLoOIiMisjN6S+uKLL6BWq/Huu+8a3ps5cyaOHTuG2NhY9OvXD6tXr8bChQuh1WoxePBgzJ0716JFU/uWvf1tLHDLx+ayyLvup9HqoFTIGvxMRERki4yGrpUrV2LlypUN3p81a5bh58jISERG3v0XJJG5KRUyRC/eBwDYvyFG5GqIiIjujjPSExEREVkBQxcRERGRFTB0EREREVkBQxfZHLf+D+CMupvYZRAREZkVQxfZHLcB43BGc6/YZRAREZkVQxfZHF1FKVwkVWKXQUREZFYMXWRzcnatx1zX42KXQUREZFbNW6+HyEIkLiWQdcgGJECKRCt2OURERGbH0EUiE7D90j449D4FCBIAwEapgD5+AMoEcUsjIiIyI4YuEpW8Ywp2X0mCLj8I2luhAICIQSdwwrsKcnWSyNURERGZD8d0kWgkLiWQBydjZKcwaFP6Ano5oJdjus4VPYsARWAKLmYnil0mERGRWTB0kSgEQYCy8xVAq8T8IY8CkBi2eYRNhHC7O/SVLtgS/zUg0YtXKBERkZkwdJEofkk/D6lrCbTp3eGidK63zbX3KFxQd4P2di/klOdB5ndbpCqJiIjMh6GLLEaj1TW5bd/Vw9BXukCXH9RgW3VpPjylKuhLfNDHrwcUHVN4t4uIiNo8hi6yGKVChujF+xC9eF+99yUuxbhReAvVOZ1R97Firdx9m/C4ywkAEsT0mgCJUg2Zd6Z1iiYiIrIQhi6yOrn/bTjJHaHLDzS674CA3tBXuELul2aFyoiIiCyHoYusS6aBzCsLY7oMq/m2ohESiQTVecGQupYgrYR3u4iIqO1i6CKrknXIhUQqILzrCJOP0RUEQtBL8FPKKQtWRkREZFkMXWRVMq9s6Kuc0LVDiOkHVSuhL/bF/1J/4YB6IiJqsxi6yHrkGkg9CqAr7AiJpOEA+loew6LxU1Xveu9VFwShRF0GqVuhpaskIiKyCIYushpZhxxIJAJ0hQF33c+lx1Bc1naq956+2AcOMiVkHXIsWSIREZHFMHSR1cg8c6GvcoJQ4XbX/TQFGfCTltR/U5BhYMc+kHXIBcCFsImIqO1h6CKr0Oq0kLoXQl/ii8bm5qor/8Bn+LPL6Qbv3xc0EBKlGlLXYssUSUREZEEMXWQVV/NvQCLTQVfi0+I2Bgf2haCXQOqZa8bKiIiIrIOhi6zifNZlCHoJ9KVeLW7DRekMfXkHyDzzzVgZERGRdTB0kVX8lnUZ+jIvkyZEvRt9iQ+kzmWAospMlREREVkHQxdZnqIK6aVZ0Lfi0WKt2seTMo+CVrdFRERkTQxdZHEytyIAgK7MtEeLnvdPx+HKfo1uEyrcIGiUkHrwESMREbUtDF1kcVK3QjjJHSGo7j5VRC3nrgOQVN3UYtgS6Ep9IHPPh17g7PRERNR2MHSRxUndC9HLtxtMvdzU2SkIkjU987y+xBsShRa3i7kANhERtR0MXWRZcjWkTir09u1h8iEFR7biIeezTW7X//6YMjEvudXlERERWQtDF1mU9PfxXL39uputTUHjBL3aEVcYuoiIqA1h6CKLkrkVQdBJ0bVDiFnb1Zd5/X6ni0sCERFR28DQRRYldS2GXuUBuVRm1nb1pV4oVZdD4qgya7tERESWwtBFFqPVaSFxLoVe5Wn2tvVlHQDUfDOSiIioLWDoIou5VZwBiVSAvtyjWcd5hT+K7ysH3XUfQe2MDo4ekLoXtaZEIiIiq2HoIotJKrgJANCXezbrOMfgXkit9jOylwShft0hcysEx3UREVFbwNBFFnO9IBWCxgHQOjbruKr0q+gizzW6Xy+fbpAo1ZAouQ4jERHZPoYuspjkgpRm3+UCgMKf/o0pTueN7tfDuyuAmsH6REREto6hiyyitKoMOar8FoUuU4V4BkPQSxm6iIioTWDoIotILkwFAOhVzRtE3xxyqQx6lQckLiXQaHX1tt35moiISGxyU3bavHkzfvzxRwDA2LFj8corr9TbnpiYiJUrV6K8vBxDhgzBG2+8AbncpKapnbpReAsSSKBXuVv0PPpyD8j9b0Mi1SN68feG9/dviLHoeYmIiJrL6J2uuLg4nDhxAnv27MHevXtx+fJlHDlypN4+S5YswWuvvYZDhw5BEATs2LHDYgVT25BalIZAN39Ab9nwrS/3hESqx63iDIueh4iIqLWMhi5fX18sW7YMSqUSCoUC3bp1Q2ZmpmF7RkYGqqqqMHDgQADAtGnTcPDgQYsVTG1DSnEaunQIbtGx3hFzsadiqEn71o4Zq52egoiIyFYZvQ3RvfsfCxWnpqbiwIED2L59u+G93Nxc+Pr6Gl77+voiJyfHzGVSW1KmLkdBRRG6dugEoLLZxzsEdEWG7qJpO2sdoVc7IrkgBYBPs89FRERkLSY/+0lOTsaCBQuwdOlSdOnSxfC+IDScmFIikTSriISEhGbtby/i4+PFLqFFUitqHvV18ewEIKnZx1ekXEAPeSaSqgNN2l9QeSCpkdDVVvuvJezpszYH+6Vx7JfGsV8aYp+Yl0mhKz4+HrGxsVi+fDmioqLqbfP390d+fr7hdV5eHvz8jM0mXl/fvn3h4ODQrGPau/j4eISFhYldRotkXC0AMvH7na7mh67iE7swwSkfSWWmhS59uQfyVEmAXANUKw3vt9X+a662fK1YEvulceyXxrFfGmKfNKRWq1t1o8jomK6srCwsWrQI69evbxC4ACAoKAgODg6GNLx3716MGTOmxQVR25dSlAZv5w5wc3C1yvlqp6WQOpda5XxEREQtYfRO1xdffAG1Wo13333X8N7MmTNx7NgxxMbGol+/fli/fj1WrlwJlUqF3r17Y/bs2RYtmmxbalE6unp2str59BU101JIXUqgL+W4LiIisk1GQ9fKlSuxcuXKBu/PmjXL8HOvXr2wc+dO81ZGbVJVtRqZZTkYEWLFW9I6BfxdfZHpwjtdRERkuzgjPZnV7eIMCBDQxbNl00W01D0dQiBh6CIiIhvG0EVmlVqcBqB2EH3L+ExegB2q4c065p4OIZA6VNYMpiciIrJBDF1kVilF6XBROsPH2avFbSi9g5Crb96ajfd4hQDgYHoiIrJdDF1kVqlFaejq2anZc7XVpUo6iz6KtGYdU3tnTepS0uLzEhERWRJDF5mNXq9HWmkmOrdyPFfJL/sR7nilWce4Kl2gr3KClOO6iIjIRjF0kdnkqvKh0WnRycO0SU3NTa/y4GB6IiKyWQxdZDa3S2oWQg8RKXQJFe4cTE9ERDaLoYvMJu330BXsHiDK+TkzPRER2TKGLjKbtJJM+Ll4w1HhKMr59aramekZuoiIyPYwdJHZpJVkmmU8l19MLL5S3d/8A3UK6NWOkDiXtboGIiIic2PoIrOo1lUjsyzHLKFL7u6DYr1Li44VKtwgdWLoIiIi28PQRWaRVZ4LnaBHJ/fWh67yKycxSJnSomP1Fe6QOKmgqeZgeiIisi0MXWQWtYPozXGnqzT+EEY5JLXoWH2FGyQSAWmlWa2ug4iIyJwYusgsbpdkQiqRItDdX9Q6hAo3AMCt4nRR6yAiIroTQxeZRVpJJjq6+kEpU4hah6B2hqCT4WbhH8sIabQ6ESsiIiKqIRe7AGof0koy0cWzk9hlAJBAX+GGtNJMRC/eBwDYvyFG5JqIiIh4p4vMQF2tQU55Pjp5dBS7FAA1jxhrHi8KYpdCRERkwNBFrZZRmg0BgtnWXPSf/jK2lo9t8fH6CjdUaCshUVaapR4iIiJzYOiiVjPnNxcBQObsDpXQ8lnt9RU1M9NzklQiIrIlDF3UammlmZBL5Qhw9TVLe2UXjuE+5fUWHy9UukICCaQMXUREZEMYuqjV0koyEeQeAJlUZpb2yi7+F/c53Gh5A3o5Atx8GbqIiMimMHRRq6WXZCHYPUDsMurp4tkJEmcufE1ERLaDoYtaRV2tQV5FIYLcbeObi7U6ewZB6lgJSKvFLoWIiAgAQxe1UmZZDgDY4J2uYADgI0YiIrIZDF3UKhml2QCAQDdxl/+5U+1ErXzESEREtoKhi1olozQbEokEHd38AJhnyZ2AmSvwWdn4VrXRwckDglbBO11ERGQzGLqoVTLKsuHv4gPF72suKhUyRC/eZ1iCpyWkCgdoW7lClURSsxwQQxcREdkKhi5qlczSHASaeTxXybmDuN/haqvbESrdIHEqg16vN0NVRERErcPQRS2m1+uRVZaDIDOP51IlxmGg8lar29FXuEEi0yNblWeGqoiIiFqHoYtaLLeiAFp9tc1NF1Grdjmg28UZIldCRETE0EWtkPn7NxeD3G3rm4u1hEoXCIIEqcXpYpdCRETE0EUtl14butxsa44uA0EGodKFd7qIiMgmMHRRi2WWZsPDwQ2uDi5il9IkfaUrbpUwdBERkfgYuqjFMkqzzf7NRQAIfGI1NpdFmqUtocIdeaoCVGgqzdIeERFRSzF0UYsIgoD0smwE2djyP3fSV7gBAG7zbhcREYmMoYtapExdDpWmwuzTRQBA8el9CHe8bJa2akPXLY7rIiIikTF0UYsYBtFbYLqIiuR49FGY6RuHWge4KJ05rouIiETH0EUtkllWE7r8nH1FrsQYCbp4BuMWp40gIiKRtW6BO7JbGaU5cJApEeDuXW+dxf0bYkSsqnEhHkE4lhIHvaCHVMJ/ZxARkTj4G4haJKM0C4Fu/m0ixHT2DIK6Wo1cVYHYpRARkR0z+TdmeXk5pkyZgvT0ho9pNm/ejPDwcMTExCAmJgbbtm0za5FkezLKchBooZnoJXIltILMbO2FeAQB4HJAREQkLpMeL164cAErV65Eampqo9sTEhLw/vvvY9CgQeasjWyUulqDfFUhwruOsEj7HWetxGd1Hlm2ViePQEgkNcsB3Rc80GztEhERNYdJd7p27NiB119/HX5+fo1uT0hIwJYtWxAdHY3Vq1dDrVabtUiyLVllORAg2PwcXbUc5Ep0dPXjnS4iIhKVSaHr7bffxpAhQxrdplKpEBoaiqVLl2LPnj0oLS3FJ598YtYiybZklFl2zcWi/32LCY4XzdpmiGcQp40gIiJRtfrbiy4uLtiyZYvh9bx587B8+XK8+OKLJreRkJDQ2jLapfj4eLFLaNTZgvOQQIKs5HSEDA0ye/uVqZfQQ5GPw1X9zdamQiVBTnkeTp09DaVUYbZ2bYWtXitiY780jv3SOPZLQ+wT82p16MrMzERcXBxmzJgBoGZ5GLm8ec327dsXDg4OrS2lXYmPj0dYWJjYZTTq57jz8NP6YNjQYWKXYrIRve/D/07Ew7urH3r43CN2OWZly9eKmNgvjWO/NI790hD7pCG1Wt2qG0Wt/r6/o6Mj1q1bh7S0NAiCgG3btiEiIqK1zZINyyzNtsjyP5bU2bPmjhyXAyIiIrG0OHTNnz8fly5dgpeXF1avXo2FCxdi4sSJEAQBc+fONWeNZEP0ej0yy3LazCD6Wj7OXnBWOOFWCWemJyIicTTrOeCxY8cMP9cdxxUZGYnIyEjzVUU2K6+iAFp9tUVDl9TJFRVCmVnblEgk6OwZxG8wEhGRaGx/OnGyKRmlOQCAQAt9cxEAAma8gr+XP2D2dkM8ar7BKAiC2dsmIiIyhqGLmiWj9PfpIiw0G70ldfYMQqW2CnkVhWKXQkREdoihi5oloywb7g6ucHNwtdg5Cn/6ClOcfjV7u38sB8RxXUREZH0MXdQsmaXZFh9EX5WehC7yPLO3G+IRCAkkSOW4LiIiEgFDFzVLRlmOxWaitzRHhSP8XX04mJ6IiETB0EUmK1WXo0xdjsA2Nl2ERqsz/NzJPZDTRhARkShaPSM92Y/M37+52NYG0SsVMkQv3gcAmD03GOcyL0JdrYGDXClyZUREZE94p4tMlvn7QteBFp6NXu7ujRK9s0Xa7uwZDAEC0koyLdI+ERFRUxi6yGQZpdlQSOXwdfa26Hn8Yp7Hv1SjLdL2H8sB8REjERFZF0MXmSyjLAcd3fwhlbbdy8bXxRuOcgfcKuFgeiIisq62+9uTrC6zNBuBVhjPlX/473jI+axF2pZKpAjx4HJARERkfQxdZBKtToscVb5VpovQ5KQiSGa5WeM7ewbhVnE6lwMiIiKrYugik2SX50EQhDb3zcXGdPYMgkpbiYLKIrFLISIiO8LQRSapXXPRkgtdW0uIRzAA8BEjERFZFUMXmSSzrGaOrkA3P5Erab0Qz0AAwC2GLiIisiKGLjJJRmk2vJ07wFHhaPFzKbw6Ik/nbrH2nRVO8HPx5rQRRERkVQxdZJLMUuutuegbtRDfVIyw6DlCPIM5bQQREVkVQxcZJQgCMsqsM12EtXT2CEJmWQ40Oq3YpRARkZ1g6CKjiqpKUFWtttqdrrwfPsUjzqcseo7OnkEQBAHpXA6IiIishKGLjMr8/ZuL1pouQluYBV9ZqUXP0dmz5huMHExPRETWwtBFRmWU/v7NRfe2P11ELX8XHzjIlBzXRUREVsPQRUZllGXDSe6IDo4eYpdiNlKpFJ08AjlXFxERWQ1DFxmVWZqDQHd/SCQSsUsxqxAuB0RERFbE0EVGZZRlW20QPQAo/bsgQ+dl8fN08QxGmUaFoqoSi5+LiIiIoYvuqkpbhYKKIqtOF+EzYR72VAy1+HlCPIIAcDkgIiKyDoYuuqvMslwAQFA7GkRfi8sBERGRNTF00V1llv0+XUSdx4sarc6i58zdtxFPuPzPoucAAFelC3ycvbgcEBERWQVDF91VRmkOpBIp/F19DO8pFTJEL96H6MX7LHLO6tICeEgrLNL2nUI8gzhtBBERWQVDF91VRlk2/F18oJApxC7FLO68Sxfs1hGZpdnQcjkgIiKyMLnYBZBtq50uor2ovUtX69XnO0En6JFRmoMuHYJFrIyIiNo73umiJun1emSV5SDQrf2Erjv9sRwQx3UREZFlMXRRk/IqCqDVV1v9m4uOwT2QWu1rlXMFuPpCIVNwXBcREVkcQxc1ybDmohUnRgUAr/DH8X3lYKucSyaVoZN7R87VRUREFsfQRU0yTBfRjsZ0NaZ2OSAiIiJLYuiiJqWXZsPNwRVuDq5WPW/2zrWY5/pfq52vi2cwStRlKK4qtdo5iYjI/jB0UZMySrIQ7N7R6ufVV5bDWaK22vm4HBAREVkDQxc1ShAEpJdmoZMIocvaQjxrQheXAyIiIkti6KJGFVeVQqWtRLBH+w9d7g6u6ODkwXFdRERkUQxd1Ki0kkwAQHA7XOi6MV08gzltBBERWRRDFzUqvTQLABDsEWj1czt16YckrXXvsIV4BCG9NAvVessu5k1ERPaLoYsalV6aDVelCzwc3Kx+7g6jH8bhqv5WPWdnzyDo9DpklmZb9bxERGQ/TApd5eXlmDJlCtLTG455SUxMxPTp0xEZGYkVK1agurra7EWS9aWXZCLYPQASiUTsUqyi9huMHExPRESWYjR0XbhwAbNmzUJqamqj25csWYLXXnsNhw4dgiAI2LFjh7lrJCsTBAFppeJMFwEAWV+/hQWu/7HqOQPdAyCXynGrhIPpiYjIMoyGrh07duD111+Hn59fg20ZGRmoqqrCwIEDAQDTpk3DwYMHzV4kWVeJugwqTYVo31wUqjVQSKw7tkoulaGzRxBuFt626nmJiMh+yI3t8Pbbbze5LTc3F76+fyxM7Ovri5ycHPNURqJJN3xzsf1PF1HXPV4hOHn7HARBsJvHqkREZD1GQ9fdCILQ4L2W/LJKSEhoTRntVnx8vDjnLb4MACi8lYf4jIoG28PCwqxdkkXV9rOsVECFthJHT/+EDkoPkatqHrGuFVvHfmkc+6Vx7JeG2Cfm1arQ5e/vj/z8fMPrvLy8Rh9DGtO3b184ODi0ppR2Jz4+XrRwc/5cEpxLnDD2vtF2ccentp+9i/xw8PAJOAW5ISyk7QRLMa8VW8Z+aRz7pXHsl4bYJw2p1epW3Shq1ZQRQUFBcHBwMCThvXv3YsyYMa1pkmxA7fI/YgUu5+5huKwNtvp5gz0CoZDKcYPjuoiIyAJaFLrmz5+PS5cuAQDWr1+Pd955B5MmTUJlZSVmz55t1gLJ+tJKsxAk4vI/nsNj8FNVH6ufVy6VoYtnMG4W3rL6uYmIqP0z+fHisWPHDD9v2bLF8HOvXr2wc+dO81ZFoimtKkOZutzuBtHXuserM35O/QV6QQ+phHMHExGR+fC3CtVTu/xPJxHvdGX+axWeczskyrnv6RCCyuoqZJflinJ+IiJqvxi6qJ60kt/XXLTTO13dvDoDAMd1ERGR2TF0UT1pJZlwUjjCy8lT7FJEEeQeAKVMgRtFHNdFRETmxdBF9dwuyUCIR1C9by5qtNadHV5MMqkMXT07cTA9ERGZXavm6aL2RRAE3C7JxKiQIfXeVypkiF68z/B6/4YYa5dmVfd4dcaxmyeh1+shlfLfJUREZB78jUIGBRVFqNBWorNnkKh1uISOxG+azqKd/54OIVDrNMgoyxatBiIian8YusjgdkkGACDEQ9zQ5TFkIk6oe4l2/j8G0/MRIxERmQ9DFxncKraN0KXXqqFAtWjnD3Tzh6PcAdcLU0WrgYiI2h+GLjK4XZIBH2cvOCudRK0je/vbWOB2VLTzS6VS3OvVBcn5KaLVQERE7Q9DFxncLslEiEeg2GVYVd1vZtb9uYdPV9wqyUBVtVqMsoiIqB1i6CIAQLWuGpml2QgReRC9tdV+MzN68T4oFTLD+z2874Fe0HPqCCIiMhuGLgIAZJRlQyfoRR/PZSvu9e4KAEgq4CNGIiIyD4YuAvDHIHqxp4uwFe4Orujo6sfQRUREZsPQRQBqxnPJpDJ0dPMXuxS49X8AZ9TdxC4D3X26Ijn/JgRBELsUIiJqBxi6CACQVpKBYLcAyKUy4ztbmNuAcTijuVfsMtDDuytK1GXIUxWIXQoREbUDDF0EoObxoq0MotdVlMJFUiV2GejhfQ8AIKngpsiVEBFRe8DQRShVl6OwsthmxnPl7FqPua7HxS4DnTwC4SB34LguIiIyC4YuQmpRGgCga4cQkSuxLTKpDPd6deYkqUREZBYMXYSbRbcBAF09O4lcie3p7t0VqcVp0FRrxC6FiIjaOIYuQmpRGnxdvOHq4CJ2KTanh3dX6AS9IZgSERG1FEMXIaUojXe5mlA7mP5q/g2RKyEioraOocvOVWgrkVWei64dbCd0uYdF4qS6h9hlAADcHd0Q5BaAq3nXxS6FiIjaOIYuO3erOB0AbCp0ufYehfOarmKXYRDqey8S869Dr9eLXQoREbVhDF12LsUGv7lYXZoPT6lK7DIMevt1R6W2CrdKMsQuhYiI2jCGLjuXUpQGD0d3dHDyELsUg9x9m/C4ywmxyzDo5VszO35iXrLIlRARUVvG0GXnUovScE8jjxY1Wp0I1dgmH2cv+Ll44wpDFxERtQJDlx3T6LRIK81Cl0a+uahUyBC9eB+iF+8ToTJx3Bk0674O9e2OxLzrXPyaiIhaTC52ASSetJJM6AW9TQ2iF1Nt0Ky1f0OM4efevt1xPPU0MkqzEezRUYzyiIiojeOdLjuWUjsTPUOXUaF+3QGAjxiJiKjFGLrs2PWCVLgpXeDn4iN2KfV4DIvGT1W9xS6jHn8XH3Rw8uBgeiIiajGGLjuWXJiKe727QCKRiF1KPS49huKy1rbuvkkkEvT27Y7LuUkc10VERC3C0GWnKrVVSC/JQjevLmKX0oCmIAN+0hKxy2ign38vFFeVIq0kU+xSiIioDWLoslMpRbchQEB37y5il9JA/oHP8GeX02KX0UB//1AAwMWcqyJXQkREbRFDl51KLkgFAJu802WrfFy80NHND5dyEsUuhYiI2iCGLjt1vTAV/i4+cHdwFbuUNqW/fyiu5CZDq9OKXQoREbUxDF126npBzSB6ap7+AaFQ6zRIKkgRuxQiImpjGLrsUGFlMQoqi3AvHy02Wx/fHpBKpLiYzUeMRETUPAxdduj67+O5bPVOl+f903G4sp/YZTTKWemE7l5dcJHjuoiIqJkYuuxQUsFNyKVydO0QInYpjXLuOgBJ1YFil1Fv7cW6P/cLCMXNwtsoV6vEKIuIiNoohi47dDXvBrp5dYZSpqj3/p0LPotFnZ2CIFmh2GXUW/RbqZAZ3u/vHwoBAqeOICKiZjEpdO3fvx+TJ09GREQEtm3b1mD75s2bER4ejpiYGMTExDS6D9kGTbUGN4puoadPtwbb6oYMMRUc2YqHnM+KWsPddPfuAlelC37NvCR2KURE1IbIje2Qk5ODDz74ALt374ZSqcTMmTMxbNgw3HvvvYZ9EhIS8P7772PQoEEWLZZa73rhLej0OvRqJHSRaWRSGQZ17IPzWQnQ6/WQSnnDmIiIjDP62yIuLg7Dhw+Hp6cnnJ2dERkZiYMHD9bbJyEhAVu2bEF0dDRWr14NtVptsYKpda7mXwcA9PS5R+RK2rawwP4o06iQVHBT7FKIiKiNMBq6cnNz4evra3jt5+eHnJwcw2uVSoXQ0FAsXboUe/bsQWlpKT755BPLVEutdi3/BoLdO8KNk6K2ysCA3pBJpDjHR4xERGQio48XBUFo8J5EIjH87OLigi1bthhez5s3D8uXL8eLL75ochEJCQkm72tP4uPjzdqeIAi4kpOMXq73NNp2WFiYWc/X3tzZZ8GOATh54wxCq8X/Fqi5r5X2gv3SOPZL49gvDbFPzMto6PL398e5c+cMr3Nzc+Hn52d4nZmZibi4OMyYMQNAzS92udxos/X07dsXDg4OzTqmvYuPjzd7CLpdnAH1DQ1Ghw5HWBfbDVhe4Y/i+4T/iV1GA3f+eeS4leAf579FUI9OCHDza+Ioy7PEtdIesF8ax35pHPulIfZJQ2q1ulU3iow+Xhw5ciROnTqFwsJCVFZW4vDhwxgzZoxhu6OjI9atW4e0tDQIgoBt27YhIiKixQWR5VzOTQIAmx9E7xjcC6nV4oUYU4UF1kzgykeMRERkCqOhy9/fHy+++CJmz56NqVOnYsqUKejfvz/mz5+PS5cuwcvLC6tXr8bChQsxceJECIKAuXPnWqN2aqZLudfg5+INP1cfsUu5q6r0q+gizxW7DKP8XX3Ryb0jzmVcELsUIiJqA0x6DhgdHY3o6Oh679UdxxUZGYnIyEjzVkZmpdPrcCU3CcM7DRa7FKMKf/o3pjjlY3OZ7V9T9wUPwu7EH1FcWQJPJw+xyyEiIhvGCYbsREpRGiq0lejn31PsUtqVEZ0GQxAE/JL+m9ilEBGRjWPoshOXfl+ypq8fQ1dLNLUOYyePQAS5B+BUGr/hQ0REd8fQZScScq8hxCMIHo7uYpfSJjW1DqNEIsGITmFIzLuO4soSESskIiJbx9BlBzQ6La7m30BfPlq0iBGdBkOAgNPp58UuhYiIbBhDlx1Iyr8BrU7bZh4tekfMxZ6KoWKXYbJOHoHo5N4RJ2/Z7iLdREQkPoYuO/BrZgLkUjn6+vUQuxSTOAR0RYbOS+wymmV0l2G4VnAT2WW2P9UFERGJg6HLDvyalYA+ft3hqHAUuxSTVKRcQA95pthlNMuYzsMgkUjw39TTYpdCREQ2iqGrncsqy0VmWQ4Gd+wndikmKz6xCxOc2tYs717OnujvH4qfU3+BXtCLXQ4REdkghq527tffl6gZHNhX5Eravwe6Dkd+RSGu5CaLXQoREdkghq527tesBAS5B8Df1bfBtrrzTVHrDQ0cAGeFE35KiRO7FCIiskEMXe1YpbYKV/KSMbhj43e56s49Fb14n5Wra3+UciVGd74Pp9J+Ram6XOxyiIjIxjB0tWPnsxKg0+sQFth2xnO1dZH3jkW1vhrHbp4UuxQiIrIxDF3tWFxaPDwd3dHL516xS2kWn8kLsEM1XOwyWiTYoyP6+PXAkes/Q6/ngHoiIvoDQ1c7VamtwvmsyxgePBhSadv6Y1Z6ByFX7yF2GS024d4xyKsoxK9ZCWKXQkRENqRt/TYmk8VnXoRWp8XIkLB677eFwfOqpLPoo0gTu4wWGxo0EB2cPHAg6ZjYpRARkQ1h6Gqn4tJ+hZeTJ3r43FPv/bqD521VyS/7Ee54RewymnRncL3ztVwqQ1SPcUjIvYYbhbesWRoREdkwhq52qEJTid+yLmN4p8GQSvhHbG53futTqZA12OdP3UbDWeGEfYmHRaiQiIhsEX8jt0NxaedQra/G/SFtZ9Ho9sZZ4YTIe8fil/TzyCzLEbscIiKyAQxd7dDRmyfRySMQ3bw6i12KXaj7eLHuz5N7hEMuk2PPlYNilEVERDaGoauduVWcjhuFtzD+nlGQSCRil2MX6j5urPuo0cPRHZH3jsXPt35BekmWiBUSEZEtYOhqZ47djINcKsfozveJXUqL+cXE4ivV/WKXYRZTQyPhKHPA9kvfiV0KERGJjKGrHdHotPj51i+4L2gA3BxcxS6nxeTuPijWu4hdhlm4O7giulcEzmT8huSCFLHLISIiETF0tSMnbp2BSlOBP3X74y5RW5iX607lV05ikLL9BJQpPcbBw8EN/zj/LfQCZ6knIrJXDF3thCAI+P7aUXT2DEYfv56G99viotal8YcwyiFJ7DLMxlHhiMcHTENyQQr+m3Ja7HKIiEgkDF3txIXsK0gvzUJ0zz9BW827KbZmTJdh6OXTDdsu7kG5WiV2OUREJAKGrnZAEATsSTyEDk4eGNkprE3MOm9vJBIJngqbCZWmAl/+tkvscoiISAQMXe1AQu41JOYl46HQiZDL5GKXQ03o7BmMqaET8N/UUzibcUHscoiIyMoYuto4QRCw49J+eDt1wPh7RoldDhkxo3cUungG47OzX6GkqlTscoiIyIoYutq4Mxm/4VrBTUzrPQkKmULscszCf/rL2Fo+VuwyWsToYtgyOZ4bNgeV2ipsOv136PRt79ulRETUMgxdbZimWoMvf9uFTh6BGHfPSLHLMRuZsztUgqPYZbSIKYthh3gG4emwWbiUcw1fX+K4OyIie8HQ1Ybtu3oYeaoCzBn0MGTShr/c26qyC8dwn/K62GVYVPg9IzGh2xh8d/UIfk79RexyiIjIChi62qjr+bexO/EgRoYMQT//Xm1yEtSmlF38L+5zuCF2GRY3Z9DD6OPXA5+e+RLnsxLELoeIiCyMoasN0uq02BL/FarVMhzd697kYyyybXKZHEvufxYhHkHYcPJzXM5tPxPCEhFRQwxdbdA/z+9ESnEaNCl9gWolgLa53I89qPvn0tifkbPCCcvHPgdfF2+s+Xkzfs28ZM3yiIjIihi62pifbsbh8I2f8WCvCOiL/Qzvc0JU21T3z6Wpu5Eeju54Y9xidHLviHUn/oqjN05YuUoiIrIGhq425HxWAj47tw39/HthVr8YscuhZqp7p0t9x10vR6kTVoW/gL7+PfHZuW3Ycu7f0Oi01i6RiIgsiNOXtxG/ZV3G+pOfo7NnEF4etaBdfVvxTgEzV+C5Zd+LXYbZ1d71AoD9G2Lq3ZXcvyEGSjjh1dHP4d+X9uG7q4eRmHcdi4Y9iW5encUqmYiIzIh3utqA4ymn8d6JTxHo6o8VY/4fnBRtcw4rU0kVDtDa6b8HpFIp/tz7Qbw6ZhFU2gqs+M9a/OPXb1Gu4SLZRERtnX3+ZrNhGq0OSoUMYWFhKK+qwvaEPTh842f08euBl0ctwMxXjwCouTPSXpWcO4j7Ha7ihLqX2KWIQqmQYdX6G4BsCBSdruFH4Sccv3UaD4VOxIRuo+HYzkM3EVF7xdAlgtpgVUut1cHh99e1j6Ck7vkICbuFHFUeHuw1AbP6PdiuHynWpUqMw0Blvl2FrjuvCQCATgFtal+8//iT2HZxD766sBu7r/yI8feMQkS30Qhw82u8MSIiskkmha79+/fj008/hVarxZw5c/DYY4/V256YmIiVK1eivLwcQ4YMwRtvvAG5nHmuKXXH9gB1x/cIeOeVUCh7noXMowBSiR/UV4fimzNSfIPv2/XdLXt353ivugJdO2LF2P+HpPyb+P7aUfyQdAz7r/0H93QIwciQIXDUSCEIAiQSSbPPe2fYazT8ERGRWRhNRjk5Ofjggw+we/duKJVKzJw5E8OGDcO9995r2GfJkiV46623MHDgQCxfvhw7duzAo48+atHCbUXdX1JN/QzUv5tVn4BbxemQByVD5p2F1f89BKmTA7S3e2LdS4sw/dgBa3wMsmH1A9l8FFYUIy7tHE7ePoevLuwGAOzO+w/6+vXEvd5d0LVDJ3T2DIaj3KFZbde0z2BPRGQpRkNXXFwchg8fDk9PTwBAZGQkDh48iOeeew4AkJGRgaqqKgwcOBAAMG3aNGzatMluQldTdyju/GX23foHEb30W0gUaix7JhTyoGRIncogdSvCkkOHIA8E9KXe+MuYGdjwcRYgyKCUKaz+ecj2eTl7YkrPP2HCPeEoVhfhYk4iLuVcw2/Zl/HzrZp1HCWQwM/VB/4uPob/93b2hLuDW83/HF3hrnSFXMY70kRE1mL0v7i5ubnw9fU1vPbz88PFixeb3O7r64ucnByTTi4IAgDgp+ST0En1+P0lBNT8oNPrIZPWPDrRCXpI6zw+0esFSCW1+9dp8/dXte/pdHrIZBIIQk170tqDIECnEyCVSiBAgF4nQCqT/HGMVGJoo1onQC7D720If7Txe8E+3VMBAFvP7IBOqIZap4VGp4Fv/xxIpDpArsXCvafhf181AODvZy/AOwQQNE7QqzpjzvCR+Nu/M4FqB4wIHAxP55rB8mq1Gp4ude6W1Xlt6ra22Ea1wglSJ1d46mVt/rOYu41yVQUU8j+2LV57+vefAvDJK49CVV2G9JIspBRnIl+Vj4LKIlzJSsIZzXk0xkGmgP99gKCTAXoZ3j52Cw4yBRQyBaSQQi6VQyqVQiaRQQIJFHIZpKj9ueY/H4JegEwmRU3Uq/m7UfNXVQK9XoBcWvMlaQkAnQDIpDX76QUBst+36fUC5DLzfpk6qyQb2VeKmnVMzd91SZOvxdf6WrJKspB9pbj1pdgoSQv7KKskEzlXSsxcTdumUpWhr7qv2GXYFI1GA+CP/NJcEsHIkX/9619RWVmJF198EQDw7bff4tKlS1i9ejUA4Ndff8W6devw9ddfAwBu3bqFBQsW4ODBg0ZPXlZWhqQkrjdHREREbUePHj3g5ubW7OOM3uny9/fHuXPnDK9zc3Ph5+dXb3t+fr7hdV5eXr3td+Pi4oIePXpAoVC0aBAwERERkbUIggCtVgsXF5cWHW80dI0cORIfffQRCgsL4eTkhMOHD+PNN980bA8KCoKDgwPi4+MRFhaGvXv3YsyYMSadXCqVtigpEhEREYnB0bHlcyUafbwI1EwZ8dlnn0Gr1WLGjBmYP38+5s+fj9jYWPTr1w9Xr17FypUroVKp0Lt3b7zzzjtQKpUtLoqIiIiovTEpdBERERFR63DtRSIiIiIrYOgiIiIisgKGLiIiIiIrYOgiIiIisgKGLiIiIiIrsFro2r9/PyZPnoyIiAhs27atwfbExERMnz4dkZGRWLFiBaqrq61VmqiM9cvmzZsRHh6OmJgYxMTENLpPe1ReXo4pU6YgPT29wTZ7vVaAu/eLvV4rmzdvRlRUFKKiorB27doG2+31ejHWL/Z4vWzcuBGTJ09GVFQUtm7d2mC7vV4rxvrFHq+Vut577z0sW7aswfuZmZl47LHHMHHiRCxcuBAqlcp4Y4IVZGdnC+Hh4UJRUZGgUqmE6OhoITk5ud4+UVFRwvnz5wVBEIRXX31V2LZtmzVKE5Up/bJgwQLh119/FalCcfz222/ClClThD59+ghpaWkNttvjtSIIxvvFHq+VkydPCo888oigVqsFjUYjzJ49Wzh8+HC9fezxejGlX+ztevnll1+EmTNnClqtVqisrBTCw8OFGzdu1NvHHq8VU/rF3q6VuuLi4oRhw4YJS5cubbDtmWeeEb7//ntBEARh8+bNwtq1a422Z5U7XXFxcRg+fDg8PT3h7OyMyMjIemszZmRkoKqqCgMHDgQATJs2zaS1G9s6Y/0CAAkJCdiyZQuio6OxevVqqNVqkaq1nh07duD1119vdDkpe71WgLv3C2Cf14qvry+WLVsGpVIJhUKBbt26ITMz07DdXq8XY/0C2N/1ct999+HLL7+EXC5HQUEBdDodnJ2dDdvt9Vox1i+A/V0rtYqLi/HBBx/g2WefbbBNq9Xi7NmziIyMBGD69WKV0JWbmwtfX1/Daz8/P+Tk5DS53dfXt9729spYv6hUKoSGhmLp0qXYs2cPSktL8cknn4hRqlW9/fbbGDJkSKPb7PVaAe7eL/Z6rXTv3t3wSzI1NRUHDhzA2LFjDdvt9Xox1i/2er0oFAps2rQJUVFRGDFiBPz9/Q3b7PVaAe7eL/Z6rQDAqlWr8OKLL8Ld3b3BtqKiIri6ukIur1lN0dTrxSqhS2hk0vu6C1wb295eGfvcLi4u2LJlCzp37gy5XI558+bh+PHj1izR5tjrtWKMvV8rycnJmDdvHpYuXYouXboY3rf366WpfrHn6yU2NhanTp1CVlYWduzYYXjf3q+VpvrFXq+Vb7/9Fh07dsSIESMa3d7S68Uqocvf3x/5+fmG17m5ufUekdy5PS8vr8lHKO2JsX7JzMzEzp07Da8FQTCkantlr9eKMfZ8rcTHx2POnDlYvHgxHnrooXrb7Pl6uVu/2OP1cuPGDSQmJgIAnJycMGHCBFy7ds2w3V6vFWP9Yo/XCgAcOHAAJ0+eRExMDDZt2oRjx45hzZo1hu1eXl4oLy+HTqcDYPr1YpXQNXLkSJw6dQqFhYWorKzE4cOHMWbMGMP2oKAgODg4ID4+HgCwd+/eetvbK2P94ujoiHXr1iEtLQ2CIGDbtm2IiIgQsWLx2eu1Yoy9XitZWVlYtGgR1q9fj6ioqAbb7fV6MdYv9ni9pKenY+XKldBoNNBoNDh69CjCwsIM2+31WjHWL/Z4rQDA1q1b8f3332Pfvn2IjY3FuHHjsHz5csN2hUKBIUOG4MCBAwBMv16sdqfrxRdfxOzZszF16lRMmTIF/fv3x/z583Hp0iUAwPr16/HOO+9g0qRJqKysxOzZs61RmqiM9YuXlxdWr16NhQsXYuLEiRAEAXPnzhW7bFHY+7XSFHu/Vr744guo1Wq8++67hq+zf/3113Z/vRjrF3u8XsaOHYuxY8di6tSpmD59OgYNGoSoqCi7v1aM9Ys9Xit3s2LFChw9ehQA8Prrr2PHjh2YPHkyzp07hxdeeMHo8RKhsQeTRERERGRWnJGeiIiIyAoYuoiIiIisgKGLiIiIyAoYuoiIiIisgKGLiIiIyAoYuoiIiIisgKGLiIiIyAoYuoiIiIis4P8DS/FDhrbl0CgAAAAASUVORK5CYII=\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax, S, bins = res1.plot('end_price', p=1)\n", "plt.rcParams['patch.edgecolor'] = 'C0'\n", "ax.axvline(S[:, -1].mean(), c='C1', ls='--', label=f'Mean: {S[:, -1].mean():.2f}')\n", "\n", "\n", "logps = scist.lognorm.fit(S[:, -1])\n", "x = np.linspace(0, 3.50, 1000)\n", "lnormfit = scist.lognorm.pdf(x, *logps)\n", "ax.plot(x, lnormfit, c='C2', label=r'$LogN$'+f'({logps[0]:.2f},{logps[1]:.2f},{logps[2]:.2f})')\n", "\n", "ax.set_xlim(0,4.00)\n", "\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Note three things from above:\n", "\n", "1. The right tail has much higher values than the [Gaussian residual forecast](garch.ipynb#Garchcaster); they simply aren't visible\n", "2. Because of the much thicker tails, the lognormal fit is completely meaningless. The lognormal simply cannot replicate the distribution appropriately.\n", "3. Despite having much higher values in the tails, the mean of this distribution is actually *lower* [than the Guassian residual forecast](garch.ipynb#Garchcaster)." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Now, again, comparing quantiles, we see the impact of Phat tail volatility on the extremes. The extreme quantiles are much more power-law *like*." ] }, { "cell_type": "code", "execution_count": 29, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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LognormPHAT-GARCH
0.000010.3293530.014284
0.000100.4002250.055723
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0.999901.6672644.524516
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\n", "
" ], "text/plain": [ " Lognorm PHAT-GARCH\n", "0.00001 0.329353 0.014284\n", "0.00010 0.400225 0.055723\n", "0.00100 0.485067 0.218195\n", "0.01000 0.592957 0.533168\n", "0.10000 0.749553 0.782968\n", "0.90000 1.182379 1.142146\n", "0.99000 1.380771 1.388429\n", "0.99900 1.534670 2.106316\n", "0.99990 1.667264 4.524516\n", "0.99999 1.786892 5.912525" ] }, "execution_count": 29, "metadata": {}, "output_type": "execute_result" } ], "source": [ "l_crit = 1/np.logspace(1,5,5)\n", "r_crit = 1 - l_crit\n", "qs = np.concatenate((l_crit[::-1], r_crit))\n", "logqs = scist.lognorm(*logps).ppf(qs)\n", "\n", "actual = np.quantile(S[:,-1][S[:,-1]>=0], qs)\n", "pd.DataFrame(list(zip(logqs, actual)), index=qs, columns=['Lognorm', 'PHAT-GARCH'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Here we see the tail regions of a 1-year price forecast are *dramatically* larger and likely more realistic. \n", "\n", "+ a ~50% decline is expected about once every hundred years, which maps fairly well onto the S&P 500, which has seen just one annual period of >50% declines since 1950 (and two others fairly close). \n", "\n", "+ a decline of ~87% is expected once every 1,000 years, which has not happened in the history of the S&P, although of course the index did lose ~90% of its value over a three-year period during the Great Depression. Under Guassian innovations, this is essentially impossible." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Phat-ARGARCH ##\n", "\n", "In an effort to show the whole process in a more condensed fashion, we will fit and forecast using the `arch` packages internal `AR-GARCH` fitting model, which should provide more efficient and accurate fit for both `AR` and `GARCH` parameters, though it might ignore some mean correlation." ] }, { "cell_type": "code", "execution_count": 27, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " AR - GARCH Model Results \n", "==============================================================================\n", "Dep. Variable: Close R-squared: -0.007\n", "Mean Model: AR Adj. R-squared: -0.007\n", "Vol Model: GARCH Log-Likelihood: -21745.6\n", "Distribution: Normal AIC: 43503.1\n", "Method: Maximum Likelihood BIC: 43549.9\n", " No. Observations: 18107\n", "Date: Sun, Jan 09 2022 Df Residuals: 18104\n", "Time: 11:44:48 Df Model: 3\n", " Mean Model \n", "==============================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "------------------------------------------------------------------------------\n", "Const 0.0506 6.068e-03 8.340 7.408e-17 [3.872e-02,6.251e-02]\n", "Close[1] 0.0801 8.350e-03 9.598 8.160e-22 [6.378e-02,9.651e-02]\n", "Close[2] -0.0210 8.255e-03 -2.549 1.081e-02 [-3.722e-02,-4.859e-03]\n", " Volatility Model \n", "============================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "----------------------------------------------------------------------------\n", "omega 0.0114 2.144e-03 5.316 1.058e-07 [7.197e-03,1.560e-02]\n", "alpha[1] 0.0941 1.071e-02 8.783 1.597e-18 [7.307e-02, 0.115]\n", "beta[1] 0.8956 1.114e-02 80.425 0.000 [ 0.874, 0.917]\n", "============================================================================\n", "\n", "Covariance estimator: robust\n" ] } ], "source": [ "ar = arch.univariate.ARX(sp_ret, lags=[1,2])\n", "ar.volatility = arch.univariate.GARCH(p=1, q=1)\n", "argarch = ar.fit(update_freq=0, disp=\"off\")\n", "print(argarch.summary())" ] }, { "cell_type": "code", "execution_count": 28, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "2c48adbadddf45648a4f95262fb020eb", "version_major": 2, "version_minor": 0 }, "text/plain": [ " 0%| | 0/10 [00:00" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, ax1 = plt.subplots(1,1,figsize=(10,6))\n", "\n", "ax1.plot((arres.vols**2).mean(axis=0).T, label='Phat Residuals')\n", "\n", "ax1.set_xlabel('Days')\n", "ax1.legend()\n", "\n", "plt.suptitle('1-Year PHAT-GARCH Forecast: Conditional Variance')\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 32, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax, S_phat, bins = arres.plot('end_price', p=1)\n", "\n", "ax.axvline(S_phat[:, -1].mean(), c='C1', ls='--', label=f'Mean: {S_phat[:, -1].mean():.2f}')\n", "\n", "logps = scist.lognorm.fit(S_phat[:, -1][S_phat[:,-1]>=0])\n", "x = np.linspace(.25, 4, 1000)\n", "lnormfit = scist.lognorm.pdf(x, *logps)\n", "ax.plot(x, lnormfit, c='C2', label=r'$LogN$'+f'({logps[0]:.2f},{logps[1]:.2f},{logps[2]:.2f})')\n", "ax.set_xlim((0,2.5))\n", "\n", "ax.legend()\n", "plt.show()\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 33, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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0.999991.8158772.408279
\n", "
" ], "text/plain": [ " Lognorm PHAT-GARCH\n", "0.00001 0.317898 0.048463\n", "0.00010 0.411891 0.121818\n", "0.00100 0.520475 0.248225\n", "0.01000 0.652841 0.564735\n", "0.10000 0.834691 0.859879\n", "0.90000 1.284786 1.254197\n", "0.99000 1.469893 1.497912\n", "0.99900 1.605834 1.956817\n", "0.99990 1.718117 2.203955\n", "0.99999 1.815877 2.408279" ] }, "execution_count": 33, "metadata": {}, "output_type": "execute_result" } ], "source": [ "l_crit = 1/np.logspace(1,5,5)\n", "r_crit = 1 - l_crit\n", "qs = np.concatenate((l_crit[::-1], r_crit))\n", "logqs = scist.lognorm(*logps).ppf(qs)\n", "\n", "arres_actual = np.quantile(S_phat[:,-1][S_phat[:,-1]>=0], qs)\n", "pd.DataFrame(list(zip(logqs, arres_actual)), index=qs, columns=['Lognorm', 'PHAT-GARCH'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "And a 5-year forecast." ] }, { "cell_type": "code", "execution_count": 34, "metadata": {}, "outputs": [], "source": [ "arres5 = mod.forecast(dist=phat, periods=252*5)" ] }, { "cell_type": "code", "execution_count": 35, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax, S_5, bins = arres5.plot('end_price', p=1)\n", "\n", "ax.axvline(S_5[:, -1].mean(), c='C1', ls='--', label=f'Mean: {S_5[:, -1].mean():.2f}')\n", "\n", "logps = scist.lognorm.fit(S_5[:, -1][S_5[:,-1]>=0])\n", "x = np.linspace(0, 10, 1000)\n", "lnormfit = scist.lognorm.pdf(x, *logps)\n", "ax.plot(x, lnormfit, c='C2', label=r'$LogN$'+f'({logps[0]:.2f},{logps[1]:.2f},{logps[2]:.2f})')\n", "\n", "ax.set_xlim(0,4)\n", "ax.legend()\n", "plt.show()\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 36, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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LognormPHAT-ARGARCH
0.00001-0.2490661.064057e-08
0.00010-0.1067081.015339e-07
0.001000.0741922.259743e-03
0.010000.3211162.107520e-01
0.100000.7141367.466369e-01
0.900002.0255791.986490e+00
0.990002.7435302.842280e+00
0.999003.3536654.548018e+00
0.999903.9177055.699216e+00
0.999994.4577766.904041e+00
\n", "
" ], "text/plain": [ " Lognorm PHAT-ARGARCH\n", "0.00001 -0.249066 1.064057e-08\n", "0.00010 -0.106708 1.015339e-07\n", "0.00100 0.074192 2.259743e-03\n", "0.01000 0.321116 2.107520e-01\n", "0.10000 0.714136 7.466369e-01\n", "0.90000 2.025579 1.986490e+00\n", "0.99000 2.743530 2.842280e+00\n", "0.99900 3.353665 4.548018e+00\n", "0.99990 3.917705 5.699216e+00\n", "0.99999 4.457776 6.904041e+00" ] }, "execution_count": 36, "metadata": {}, "output_type": "execute_result" } ], "source": [ "l_crit = 1/np.logspace(1,5,5)\n", "r_crit = 1 - l_crit\n", "qs = np.concatenate((l_crit[::-1], r_crit))\n", "logqs = scist.lognorm(*logps).ppf(qs)\n", "\n", "S5_actual = np.quantile(S_5[:,-1][S_5[:,-1]>=0], qs)\n", "pd.DataFrame(list(zip(logqs, S5_actual)), index=qs, columns=['Lognorm', 'PHAT-ARGARCH'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "Pay close attention to the bulge in values around $0. The Phat-ARGARCH suggests that total loss is materially more likely than with Gaussian innvoations." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## T v Phat-ARGARCH ##\n", "\n", "We will compare the Phat-ARGARCH results to an AR-GARCH fit using the Student's T. " ] }, { "cell_type": "code", "execution_count": 37, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " AR - GARCH Model Results \n", "====================================================================================\n", "Dep. Variable: Close R-squared: -0.006\n", "Mean Model: AR Adj. R-squared: -0.006\n", "Vol Model: GARCH Log-Likelihood: -21229.6\n", "Distribution: Standardized Student's t AIC: 42473.3\n", "Method: Maximum Likelihood BIC: 42527.9\n", " No. Observations: 18107\n", "Date: Sun, Jan 09 2022 Df Residuals: 18104\n", "Time: 11:45:35 Df Model: 3\n", " Mean Model \n", "==============================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "------------------------------------------------------------------------------\n", "Const 0.0589 5.014e-03 11.742 7.803e-32 [4.905e-02,6.871e-02]\n", "Close[1] 0.0761 7.661e-03 9.930 3.072e-23 [6.106e-02,9.109e-02]\n", "Close[2] -0.0327 7.594e-03 -4.301 1.703e-05 [-4.754e-02,-1.777e-02]\n", " Volatility Model \n", "============================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "----------------------------------------------------------------------------\n", "omega 8.1892e-03 1.223e-03 6.694 2.168e-11 [5.792e-03,1.059e-02]\n", "alpha[1] 0.0894 6.379e-03 14.019 1.196e-44 [7.693e-02, 0.102]\n", "beta[1] 0.9046 6.533e-03 138.475 0.000 [ 0.892, 0.917]\n", " Distribution \n", "========================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "------------------------------------------------------------------------\n", "nu 6.4736 0.331 19.538 5.176e-85 [ 5.824, 7.123]\n", "========================================================================\n", "\n", "Covariance estimator: robust\n" ] } ], "source": [ "targarch = arch.univariate.ARX(sp_ret, lags=[1,2])\n", "targarch.distribution = arch.univariate.StudentsT()\n", "\n", "targarch.volatility = arch.univariate.GARCH(p=1, q=1)\n", "tres = targarch.fit(update_freq=0, disp=\"off\")\n", "print(tres.summary())" ] }, { "cell_type": "code", "execution_count": 38, "metadata": {}, "outputs": [], "source": [ "n = 10000\n", "days = 252\n", "mod = ph.Garchcaster(\n", " garch=tres,\n", " iters=n,\n", " periods=days,\n", ")" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can incorporate the fitted T distribution into `Garchcast` simply by generating standardized random variables from it and passing them to `innovs`. We will do this for both 1-year and 5-year periods." ] }, { "cell_type": "code", "execution_count": 39, "metadata": {}, "outputs": [], "source": [ "t_dist = scist.t(tres.params[-1])\n", "tfore1 = mod.forecast(innovs=t_dist.rvs((n, days))/t_dist.std())\n", "tfore2 = mod.forecast(innovs=t_dist.rvs((n, days*5))/t_dist.std(), periods=days*5)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The variance is given below." ] }, { "cell_type": "code", "execution_count": 40, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1,2,figsize=(18,6))\n", "ax1 = tfore1.plot('var', ax=ax1)\n", "ax2 = tfore2.plot('var', ax=ax2)\n", "\n", "plt.suptitle('T-GARCH Forecast: Conditional Variance')\n", "plt.show()" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The variance takes more than a year to climb to a stable range, then does exhibit some more \"natural\" variation around that stable value, although we do not see a single peak, $\\sigma^2 > 1.6$ over the course of ten years.\n", "\n", "The S&P 500, of course, exhibited several such peaks [in the just the past 15 years](#Phatcast) and the Phat distribution is able to produce them while the T is not." ] }, { "cell_type": "code", "execution_count": 41, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax, S_t, bins = tfore1.plot('end_price', p=1)\n", "\n", "ax.axvline(S_t[:, -1].mean(), c='C1', ls='--', label=f'Mean: {S_t[:, -1].mean():.2f}')\n", "\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 42, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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T-GARCHPHAT-ARGARCH
0.000010.0102190.048463
0.000100.0338640.121818
0.001000.3111910.248225
0.010000.7009520.564735
0.100000.9458530.859879
0.900001.3962361.254197
0.990001.7308171.497912
0.999002.3098701.956817
0.999904.1582932.203955
0.999995.2143422.408279
\n", "
" ], "text/plain": [ " T-GARCH PHAT-ARGARCH\n", "0.00001 0.010219 0.048463\n", "0.00010 0.033864 0.121818\n", "0.00100 0.311191 0.248225\n", "0.01000 0.700952 0.564735\n", "0.10000 0.945853 0.859879\n", "0.90000 1.396236 1.254197\n", "0.99000 1.730817 1.497912\n", "0.99900 2.309870 1.956817\n", "0.99990 4.158293 2.203955\n", "0.99999 5.214342 2.408279" ] }, "execution_count": 42, "metadata": {}, "output_type": "execute_result" } ], "source": [ "l_crit = 1/np.logspace(1,5,5)\n", "r_crit = 1 - l_crit\n", "qs = np.concatenate((l_crit[::-1], r_crit))\n", "logqs = scist.lognorm(*logps).ppf(qs)\n", "\n", "St_actual = np.quantile(S_t[:,-1], qs)\n", "pd.DataFrame(list(zip(St_actual, arres_actual)), index=qs, columns=['T-GARCH', 'PHAT-ARGARCH'])" ] }, { "cell_type": "code", "execution_count": 43, "metadata": {}, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "ax, S_t5, bins = tfore2.plot('end_price', p=1)\n", "\n", "ax.axvline(S_t5[:, -1].mean(), c='C1', ls='--', label=f'Mean: {S_t5[:, -1].mean():.2f}')\n", "\n", "ax.set_xlim(0, 8)\n", "\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 44, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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T-GARCHPHAT-ARGARCH
0.00001-3.146366e-091.064057e-08
0.00010-3.495613e-131.015339e-07
0.001006.594357e-022.259743e-03
0.010005.687693e-012.107520e-01
0.100001.242332e+007.466369e-01
0.900003.231544e+001.986490e+00
0.990005.291559e+002.842280e+00
0.999008.360764e+004.548018e+00
0.999901.730612e+015.699216e+00
0.999992.235512e+016.904041e+00
\n", "
" ], "text/plain": [ " T-GARCH PHAT-ARGARCH\n", "0.00001 -3.146366e-09 1.064057e-08\n", "0.00010 -3.495613e-13 1.015339e-07\n", "0.00100 6.594357e-02 2.259743e-03\n", "0.01000 5.687693e-01 2.107520e-01\n", "0.10000 1.242332e+00 7.466369e-01\n", "0.90000 3.231544e+00 1.986490e+00\n", "0.99000 5.291559e+00 2.842280e+00\n", "0.99900 8.360764e+00 4.548018e+00\n", "0.99990 1.730612e+01 5.699216e+00\n", "0.99999 2.235512e+01 6.904041e+00" ] }, "execution_count": 44, "metadata": {}, "output_type": "execute_result" } ], "source": [ "l_crit = 1/np.logspace(1,5,5)\n", "r_crit = 1 - l_crit\n", "qs = np.concatenate((l_crit[::-1], r_crit))\n", "logqs = scist.lognorm(*logps).ppf(qs)\n", "\n", "St5_actual = np.quantile(S_t5[:,-1], qs)\n", "pd.DataFrame(list(zip(St5_actual, S5_actual)), index=qs, columns=['T-GARCH', 'PHAT-ARGARCH'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## Skew T v Phat-ARGARCH ##\n", "\n", "We will compare the Phat-ARGARCH results to an AR-GARCH fit using the Student's T. " ] }, { "cell_type": "code", "execution_count": 45, "metadata": { "scrolled": true }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " AR - GARCH Model Results \n", "=========================================================================================\n", "Dep. Variable: Close R-squared: -0.005\n", "Mean Model: AR Adj. R-squared: -0.006\n", "Vol Model: GARCH Log-Likelihood: -21214.4\n", "Distribution: Standardized Skew Student's t AIC: 42444.8\n", "Method: Maximum Likelihood BIC: 42507.2\n", " No. Observations: 18107\n", "Date: Sun, Jan 09 2022 Df Residuals: 18104\n", "Time: 11:45:51 Df Model: 3\n", " Mean Model \n", "==============================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "------------------------------------------------------------------------------\n", "Const 0.0505 5.239e-03 9.631 5.925e-22 [4.019e-02,6.073e-02]\n", "Close[1] 0.0713 7.763e-03 9.181 4.289e-20 [5.606e-02,8.649e-02]\n", "Close[2] -0.0378 7.664e-03 -4.937 7.953e-07 [-5.285e-02,-2.281e-02]\n", " Volatility Model \n", "============================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "----------------------------------------------------------------------------\n", "omega 7.8852e-03 1.186e-03 6.649 2.944e-11 [5.561e-03,1.021e-02]\n", "alpha[1] 0.0881 6.227e-03 14.155 1.746e-45 [7.593e-02, 0.100]\n", "beta[1] 0.9058 6.424e-03 140.998 0.000 [ 0.893, 0.918]\n", " Distribution \n", "==============================================================================\n", " coef std err t P>|t| 95.0% Conf. Int.\n", "------------------------------------------------------------------------------\n", "nu 6.6324 0.344 19.282 7.568e-83 [ 5.958, 7.307]\n", "lambda -0.0568 9.809e-03 -5.796 6.811e-09 [-7.607e-02,-3.762e-02]\n", "==============================================================================\n", "\n", "Covariance estimator: robust\n" ] } ], "source": [ "skargarch = arch.univariate.ARX(sp_ret, lags=[1,2])\n", "skargarch.distribution = arch.univariate.SkewStudent()\n", "\n", "skargarch.volatility = arch.univariate.GARCH(p=1, q=1)\n", "skres = skargarch.fit(update_freq=0, disp=\"off\")\n", "print(skres.summary())" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "`Garchcast` does not support the Skew-T (mainly because it's a real pain to implement in `python`), so we will use `arch` to forecast as well. \n", "\n", "We will do this for both 1-year and 5-year periods." ] }, { "cell_type": "code", "execution_count": 46, "metadata": {}, "outputs": [], "source": [ "n = 10000\n", "days = 252\n", "\n", "skfore1 = tres.forecast(horizon=days, simulations=n, method='simulation', reindex=False)\n", "skfore2 = tres.forecast(horizon=days*5, simulations=n, method='simulation', reindex=False)" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "The variance is given below." ] }, { "cell_type": "code", "execution_count": 47, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, axs = plt.subplots(2,2,figsize=(18,12))\n", "axs = axs.flatten()\n", "\n", "for i, ax in zip(np.random.randint(0, n, size=axs.size), axs):\n", " ax.plot(skfore2.simulations.variances[0][i], label='Phat Residuals')\n", " ax.set_title(f'Vol Forecast {i}')\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 48, "metadata": {}, "outputs": [ { "data": { "image/png": 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ICAB83wYiIqJufbHrDI6daUZZlQ4zJybBZLHj1hV5XYoQUvAYzXakxGu73T8+Kw6vPHQJXIsjIjUK5I1LwO7DNfjJ0il+naPNaAUAREUwyEBEoWfvFGRwOoU+LaGw2cUsBYXM998qZjIQUaD4ncmg1+uxdOlSVFRUdNm3efNmrFixAsuXL8edd96J1tZWAMCGDRuwYMECrFixAitWrMCzzz4buJETEYWA0yngbI0OE0fHobpRj/e/OYlPd5Th8KmmUA9tRDGabYjQ9LyMQSqVQObxBXzulDSU1+pRVa/36xyufvHsLkFE4cCVieBysqKlT6+32cUghVLRUyYDgwxENHB+BRmKiopwww03oKysrMs+vV6PNWvW4KWXXsKHH36IiRMn4vnnnwcAFBcX44EHHsDGjRuxceNG3HPPPQEdPBHRYKtrNsJkcWDR7FF445EleH31ZQCAo2cZZBhMBrMdWlXfkvHmTkkFAHxfUuPX8TpXJoOGmQxEFHqdMxnqm019er0ryNDdcgmNSg67Q0Bds7F/AyQiaudXkGH9+vVYvXo1kpOTu+yz2WxYs2YNUlJSAAATJ05EdbW45rW4uBgbNmzA8uXLce+997ozHIiIhqqzNW0AgNGp0VApZIiNUiErJRLH+lhQkPpPEASYzDZoe8lk6Cw5XotxmTHYuq8CgtB7l4k9h2shlQBpiRH9HSoRUcB0DjK4AqH+6i3IMHOi+D2/pLShH6MjIurg122gtWvXdrsvLi4OixYtAgCYzWa89NJLuOmmmwAASUlJ+PnPf45p06bhmWeewaOPPoqnn37a78GVlJT4fay/CgsLA/6eIxXnMjA4j4EzGHP53SEdAKCpthSFTacBAAkRThwqrcfevXshkQy8xVg4COffS6vdCacANDXUorCwb3fcJqZK8OneFnz05ffISOiaoXC0woTTtRbMmRCJj76twdRsLcpPH0H56f6NNZznkYiGFrvdO8jQZvA/yGC22rG9qBJA9zUZEqLVAMC6DEQ0YAEr/NjW1oY777wTubm5uOqqqwAAf//73937b731Vncwwl95eXlQqVSBGiIKCwuRn58fsPcbyTiXgcF5DJzBmssth/ciOc6Gc+fNdm9rsJXhwKkipGfnIj0xMuhjCLZw/71sbDUBqMKEcaORnz+mT6/NnWzD5qLPcbZVg+WXzvDapzda8fSGzWgz2rD/lAmCIMFdN5yD1IT+ZTIEax4tFktQgvBEFN5sHpkMKqXMXZzWHy99UIwvd58FACh6qMkAgHUZiGjAAtLCsq6uDitXrkRubq4766GtrQ2vvfaa+xhBECCXs5kFEQ1tZTU6jE6L9to2cXQ8AHDJxCAxmsUWa9puWlj2JEKjwHkz0rFtf0WXFqT/23wcepMNP106BTKpBJefO6bfAQYiokBzFX589p7zER+tRkOL/zUZaps6sr66Wy6hVLQHGZjJQEQDNOCrfofDgdtvvx1LlizBnXfe6d6u1Wrx8ssvY+bMmZg+fTrefPNNXHLJJQM9HRFRyNjsTlTW6TFncqrX9qyUKGhUMnxXVAWj2Y5zpqUhLkodolEOf67ggFbdvz9hl8wZja/2lGP34VpcMCsTRcfrsXV/Bb4uLMfFBaNw9YU5uPzcbCjZkpSIwojZakd0hBI5mbHISIpEVb3B79dKPZbydRdkkMukkMskMDPIQEQD1O8gw6pVq3D33XejpqYGhw8fhsPhwOeffw5AXOawdu1aPPfcc1izZg3MZjOys7Px1FNPBWzgRESDraKuDQ6n0CWTQSaVYOLoeOw6VINdh2pQ22TELcumhGiUwaU3WiGTSaHpY2eHQBpIJgMA5GbHI0qrxP5jdZgzOQWPvPI9VAoZ8nNTcPMVkwAAaiUz74govFisDqjbP3vTkyJQXNoAp1OAVNp7LSCprOOYngKoKgXbWBLRwPXpW9SWLVvcj9etWwcAmDp1Ko4ePerz+IKCAnzwwQcDGB4RUfg4XSUWfRzTKcgAAHf/YCbK69rw3y+OoehE/WAPbdA8/M8dSIjW4A8/mxuyMRgtriBD/wIBMqkEMyckYd+xOuw+VAOb3YnHbj8Hk8ckBHKYREQBZbLYoW6vm5CZFAmL1YEmnRmJsZpeX+uZySDvJpMBEOsycLkEEQ1UQGoyEBGNBCcrWqBSypCZ3LW4Y1KcBrMmJiM/Nxmnq1qh60PV76Gipc2C0opW7D1S0158MTSMJtdyif5lMgDArNxktLRZ8N8vjyM+Wo3c9roaREThymyxQ9OeZeVqrVvd6N+SCZm09+USAKBSyhlkIKIBY5CBiMhPJ8tbMDY9BjJZ9x+d08cnQRCA4pPDr894ySnxZ3IKwNeFFSEbhyuTIaKfmQxARz/4yno9zpmW5le6MRFRKJmtDqhVYiZDlFZswas32np6iZvUzyCDWinD94eqYXc4uz2GiKg3DDIQEflQVq3Dyj98ivLaNgCAw+FEaWUrxo+K7fF147NioVHJh+WSiZLSRqiVMkwcFYcte89CEISQjMOVyTCQuhDx0Wpkty97OXdaekDGRUQUTGar3V0vxpXJ1blLTnc8gww91WQor22DxerAO5uPD2CkRDTSMchARCNeq96Cp97Yi31H69zb9h2tQ5vRhu8OVgEAzta2wWpzYHxmbI/vJZNJkTcuYZgGGRowKTsel8wdhfJaPU6Ut4RkHMb2dck9ZZT44/xZmchKicQk1mIgoiHAbHF4BBnE/7oK4fbGc7mEuocAratNZm2zsdtjiIh6wyADEY143x2swrcHKrF63U68vLEEAHC8vBkAUHikFoC4VAIAxo+K6/X9po9PQlWDAdUN/rcXC3etegvO1LQhb1wi5kwRW3geKWsKyVgMJlu/iz56uvai8Xjh/ou9vnwTEYUru9MJuVz8vBpIJoNG2Xt73lB2ECKioY9BBiIa8fYdrUNynAYX5mdi47ZSNOvMOHG2GRIJcOxsM3QGK06Ut0CrliMtIaLX95s/NQ0AsHV/6OoWBNqhU40AgLxxCYiLUiM2SoWy9m4bg81osQ+o6CMR0VAkOAV3lwiFXAqlXOp3JoPCI/Orpyywu66bDqDnJRVERL1hkIGIRjSb3YmiE/XIn5SCqy7IAQB8ufss6ppNOGdaOgQB2H+sDifKm5GTGetXgcDkOC2mjkvEN4XlIatbEGgHTtRDrZRhfJaYyZGdGo2y6taAvX9f5slktgckk4GIaChxCoDEoxWlVqOAoR+ZDD1ZPC8b0RFKmCz+BS+IiHxhkIGIRhSj2Ybn1x9AQ4vYgvFIWSPMVgfyJyYjOy0aSXEafPDNSQDAFeeMQXSEEv/8oBgnK1qRNy7R7/NckJ+JynpDUOoWNOvMAX/PngiCgMIjtZg+PsldlTw7PRpna9rgcHYfHPA3cHD0TBOuf/hT1DX5twa4tsmAuCi1X8cSEQ0XgiDAI8aACLXc70yGvnSLiNAohmUbZiIaPAwyENGIsnVfBb7YdQbrvxIrZ+87Wge5TIKpOYmQSCSYMzkVepMNUonYKWJeXhpMFjtuvCwX11403u/znDMtHQq5FF/vLQ/o+D/45iRufuRzd0HKQNEZrGjVW3zuK69tQ12zCQWTUtzbstOiYbU7Ud2g9/mae/+6Da9/esSvc5842wKj2Y59x+p6PdZotqGy3oCcrFi/3puIaLgQBLiXSwCARq3wuyaDw+F/tlju6DgUHq2Fs4cgMhFRTxhkIKIR5etCsU7CV3vKUddsxI6D1Zg8JsG9xn/OZLGo4ajUaKhVcqy6Mg+v/d+luP6SiT32Fu8sUqPA1JxElLTXMgiEHQer8OrHhyCRAG9tOtJjFkFPdpVUY8ves+7ngiDgDy/uwFNv7PV5/N4j4sV/fq53kAEQW3121tJmwbEzzfjw21N+3Q1rbBWzSopLG3o9trRSXKKR00uXDyKigXA4BRhM/l3ADxZnADIZ5rYX7u3J2IxYmK0OGLlkgoj6iUEGIhoxahoNOFLWhAvyM2G1OXDPs1tR22TA1RfmuI+ZmpOACI0Ck8fEAwDUSjliIlX9Ol9aQgTqA9QGTBAE/OP9gxiXGYtfXz8T5bV6fHugsl/v9d/Nx/HPD4phs4tfOvccqcWpqlYcLWuCw0dK7d4jte6lJC5ZKVGQSiU+iz+eaO/MYbU58NmO072Op7596UrxyYZel1iUVrQAYJCBiIKjWWfG5t1n8NrHh3D9w59izbqdoR6SmyAIXpkMWrX/NRkKj9YiMVaDh2+Z2+uxkRox6H7Dw58Om7pCRDS4GGQgohHjm31iFsNNSyZhVm4ydAYrfn7VNK879Aq5DM/++nzcfPnkAZ8vOU4Lg9kOfQDuhtU2GdHSZsGlc0bhgllZyE6Lxj/eK8Ljr+3GsTP+t5J0OAWcrWmD0WxHcal4Uf/OZnHpiNXuxNnaNq/j9SYbDp9uRH5ustd2pUKGjKQIn5kMx8+2QCoRO1F8vP00rDZHj2NqbBVrTDS3WVBZ73v5hcuJ8hYkxojdLYiIAu2Jf+/B//vfAWzYWgoAKDza+zKuweIUAInUM8jgXyaD2WKHyeJw1yLqTZS2o3uPxdrz5zcRkS8MMhDRiLFtfyXyxiUgOU6Lu38wAw//dA6uOHdMl+PSEiMQoRl4i8SUeC0A+F3QsCfHzojZARNGxUEqleDeG/MxZ0oqjpxuwiMvf4+aRoNf71PbaHBf9O8qqcbBEw04eqYZyxeOBYAuhSq/2nMWDqeABTMyurxXdlqM7yBDeTNGpUZj5aW5aNFb8N8vj/U4pvoWE8a311goLu15eUlpRQvGMYuBiIKkuW1wC+v2RdfCj/7VZHAte4jzMzgbqVW6HwciSE5EIw+DDEQUVHXNRrz60SHctGYT3v6i54vNYGpsNaG8ts1dcyEhRoO5eWlBPWdyvLi8oLafQQaLzYGXN5agpc2C4+XNUCpkGN1eC2F0WjR+uzIfT/3yPAgC8Ni/dsHSS8YAAJxuDwokx2vxfUkN/v5uEVLitbhpySREqOU46RFkcDgFfLz9FCZlx/tcnjAmPRq1TUbojR11FwRBwImzLRifFYupOYm4dO5ovLvlBIpP+q634HQKaGo1YVpOIuKjVSjp5jigo+jjeBZ9JKIgkUnD96tx5+USGrUcJou91wKNrnaUtyyb4td5Ij0yGRhkIKL+CN9PUiIa0uwOJ17aUIzbntiMDdtKIZUAH24r9etCOBiKTtQDAKaPTxq0cybHtWcy9LMuw8ET9di4rRQffluK42eaMS4jBnKZ98d2WmIE7rpuBs7UtHV7Ie/pTLUOEglwzYU5aNKZUd1owK+unwm1Uo5xmbE4UdGCigYr/vzmXqz/8hhqGo1YtmCsz/dyXex7Zj/UNhnRZrRi/Kg4AMCqFXlIT4zAU2/uxemqVrQZrdhVUu1e59uqt8DuEJAUq8HMicnYfbim2xadrqKPzGQgomDxVeDXVb8m1JwCIPEIMkSoFRAEwGztecmEqX1JhUYl9+s8UZ6ZDEa2siSivmOQgYiC4vuSanz07SmcPysT6x5chN+szIfeZMN3Rf0rVjhQRScaEB2hdHdFGAzREUqolbJ+L5c41X5R/eXusyitbMXE0XE+j5s+PhGA704PnZVV65CWEIFzp6VDqZBhxcJxmDpOfP34rFiUVbXi/R1N2La/Ev/54hjio9WYP813xkdOljgezyDD8bPtyzraAxBqlRwP/XQuZFIJfv/37bh17Zd47NXd7q4brqKPibEa/ODiCbDZnXi7m+UVB080QCIBMxmIKOAsNgeOnG6CXCbpsi9cukwITgEeJRncXZEMpl6CDO2ZDBq1f0GGSI/lgr9/4TscOe1/3R8iIgDw79OGiMgPNrsDeqMNcdFq7D5UgyitAr+8bgZkMimSYjXISIrAZzvKcFHBqEEdlyAIOHC8HtNyEiGVdv0CGSwSiQTJ8dp+ZzKUVrZCKpWgpc0CAJiQ5TvIEKlVIjFWgzN+BhnGpEcjJlKFVx66BDGRHXescrJiYXcIaNLbsfrWeWhpsyA1Qdsle8J9Xo0C6YkROFHeDKdTwPvfnMTGbaXQqOTuZR2A2IniqbvOwxP/3o2YSBUKj9bhdGUrpo5LdLevTIjVID0pEpfNz8ZnO8vQrDOjodWMP/58PiK1SjidArYUlmP6+KR+d/sgIurO3985gK8LK5AY29FFJzFWg4YWEwxmW1gUm+2cyaBtDxoYLTYAmm5e1RFkUCv9+9qvVMi8nm/YdhKTxszp42iJaCRjJgMRBcy7X53AbU9+hcZWE/YeqUP+pBTI2i9QJRIJLps/BkfPNPt1MRxIFXV6NOnMg7pUwiU5Tou6Jv8qend2qrIVc6ekIjFGDQCY0E0mAwBkp0X3mslgtthR02hAdqoYAIiNUnl9YXUFMWaO1aJgUgoWzRmFvPYsh+6Mz4rDifIWfHugEv/+5DCy06Lx6M/ndwlMJMdr8ew9F2DNqvmIjVS5x+rKZEhq/2J//SUTEaFW4EhZE06Wt2DvkVoAwOHTjahrMuKigqwex0NE1B+ujCzXBTkA/OLa6QDCZ8mAr8KPAGD0N5PBz+USne04WB02c0BEQwODDEQUMCcqWmCy2PGn1/eizWh1F1l0WThT7FCw+3ANAHFJhb9dEQbiYHutglAEGVLitajtRyaD3mRDbZMROZmxuPai8ZiUHY/kuO7vVGWnRaO8tq3HtcNna9sgCPDKMvCUHK/FU3edh8tndx/M6Gz8qFg0tprx9hdHkZ4YgUdWzUdudnyPr8lOi3YXoGxoMUMhlyI6QsyoiI1S4d+rF+Pfqy9DTKTS3T5uy95yaFQyzA9ysU4amvR6PZYuXYqKiopuj/nmm29w0UUXDeKoaChxBVw9l0a4LuLDpfhh58KPWo1nJkP3XEEGrZ/LJQBg1kTvtsVvbTrq92uJiBhkIKKAqajVAwCOlDVBJpV0+ZISH63G2PQYFB6tQ32zCY+/thuPvrLL3VIxWGoaDVApZUhN0Ab1PL4kx2lhMNn6/CX1dJVYj2FsRgyuWDAWT/3yPK+sg85Gp0XD4RRQWa/3ud9qc+Ctz49CIoHPThEuk8bEQ+FjTXJ3XPURKusNuGLBGL+Wo2SnR+NstQ4Op4DGFhMSYzReP5tCLoVMKsHMicnYd6wObUYrthdV4Zxp6VD3804cDV9FRUW44YYbUFZW1u0xDQ0N+NOf/jR4g6Ihx9fHq6vLQrjUZOiyXKL989BoDnwmwyM/n+/13GwNTdFmIhqaGGQgooCw2ByobTLgooIsyKQSTBmbgAiP4lEu+ZOScaSsCR9vPwVBAMpr2/D6p0fgcASvener3oKYCGWPF+nBkhIvBjYOHK/DV3vOursq9MZV9HFcRoxfx49pz04oaw9OeBIEAU+9sRf7jtbhF9dOR3J84IItYzNiIJVKoFHJsGi2f7U2stOiYbU7Ud2gR32LCQmxap/HFeSmQGewYu2ru2Gx2rH8vHEBGzcNH+vXr8fq1auRnJzc7TEPP/ww7rrrrkEcFQ010k5/HzQqubsA4rb9lahuCH7WXU9cfzskPgo/Gs3+ZTKo/KzJ4IvTz79dREQACz8SUYBU1evhFMQLwwXT05EU5/tCNj83Be98dQIbtpVi6rhEZCRHYuO2UmzcVgqlXAqtRoFVK/KwcGZmwMbWarC60/EHW3K8uMThT6/vBQBkJkdi4uiuywnqmo349TNbce+N+ZiVm4xTla2Ii1IhLtr3BXhnGcmRkMskPusy1DQasetQDVZeOhGL52X3/4fxQa2UY+GMDGSlRLm/8PZmTLoYODldpUNjqwmTxyb4PG7mxGRIJcChU424/JxsjPUz4EIjy9q1a3vc//rrr2Py5MmYPn36II2IhiLPpWYTR8Xh0ds6asvsOlSDsmodXn7oklAND872a3yfhR/9yGRQKWWQDaDwsdPJIAMR+Y9BBiIKiPLaNgBAZkqk+yLSl9zRcYhQy2Ew27FoThYWTM9ATmYMmtssMJnt+O5gFd7dcgLnzcgIWOaBTm9BdIg6EqQlRkKjkmFcZiyOnWnGtv2VPoMM3+6vRJvRiv9+eQzTxifi8OnGPl1Uy2VSZCZH4US5WBfDMy324Ml6AMCCGRkD/4F8+O2N+X06PislElKpBF/sOoOGFhPSEyJ8HhcdocTE0fGorNfjpiWTAjFUGmGOHz+OL774Aq+99hpqamr6/T4lJSUBHJWosLAw4O85FIXLPMjQUdjQbDbgyKGDXvtrm4zYtXuvzxaXgdDbPDjaL/Krq6tQWCgui3NlF5SePovCqK5ZbC7llc2QS4U+z3VyjBx1rWIAo76hcVD+rcLl9yHUOA+cA5ehOg8MMhDRgBw904QItQLltXpIJUBGUmSPx8tkUvda+3OmpkOpkHndXU9J0OIf7x1EaUUrctrX+w+UzmBFVkpUQN6rryI1CvzrD4uhVcnx5Ot7sO1AJW5ZntfljtL2g1WQSiU4UtaEZ9/eh5pGI25ZNqVP5xqfFYsvd5/FDx/6BHdeMx2Xzc8GIBa+jItSITO553+bwaKQy5CZHIkDx+uRnhiBZQu7Xwbxm5WzYLM7EakNTSYKDW2bNm1CfX09rrnmGthsNtTV1WHlypX4z3/+06f3ycvLg0oVuEBlYWEh8vP7FpwbjsJpHv75+WYkxkjR0GqGRhPRMa7/dBQTzZ08NSgtdP2ZB5vdAfy3EpkZGcjPn+Derv2gFjHxScjPn9rta7cc2YvoSPR5rp/NteLG//sMABARGRP0f6tw+n0IJc4D58Al3OfBYrF0G4RnTQYiGpBn/7MPT/x7D87W6pASH9Glv7YvP79qKp666zyfRfwWzsyEUi7FF7vOBGyM4nKJ0PU4j9QoIJVKcP6sTLS0WVDcnlngdArQG62oaTTgZHkLfnDxBESo5di2vxJzp6RiXh87Kdy6Ig8P/mQ2cjJj8d8vj8HhcEIQBBSfbMDUnMSQ1KToTk5mLDQqOR6+Za573bMvqQkRIQsQ0dB399134/PPP8fGjRvx0ksvITk5uc8BBhr+BEFAQ6vJ3RlnxgTf9T1CWQBScC+X8N6uVclh6mW5hNnigFrZ+9/mzjyXGVbWt/X59UQ0cjHIQET9JggCGlpMKK9tw+5DNchM8e9OeVyUuts2ipEaBc6dno6t+yt6LWblD7PVDovVgZjI0N8JL5iUAq1ajq37KgEAH35bihtXb8LTb4mpcBfPzsKVF+QgSqvEbVdN63NQQKtWYP7UdPxw0QQ0tprx/aEaVNTp0dxmwbScxID/PAOx6sqp+Nu9FzKAQEGxatUqFBcXh3oYNES0GW2w2Z2YlB2Pfz18Ka6/dKJ735O/WIAfXZYLILStLF1LI7oUqFQrYOjlb6XV7oBS3vcgAyD+/HKZFJX1Bhw53dSv9yCikYdBBiLqN4PZDmt7sSy7Q8CoAF0wLl0wFmaLHS+8e9DvbgwubUYr9h6pdT/XGcR1tqHMZHBRKWSYl5eGHcVVsNoc+HpvBVQKKY6eaUZOVixSEyLww0UT8Or/XYqkOE2/z1MwORXJcRp89O0p7D4krkOfGmZBhkiNIqBdLoi2bNmCzEyxYOy6deswdap3+nhmZia2bNkSiqFRmGtsNQEAEmI1SIrTeC1nmzI2AXnjxM/P8Mhk8A4yaNXyXgs/2h1OyOX9+8o/ZWwC3lizGMnxWjz15l6//ibrDFa8vLHEXauJiAaf0WzDM/8pRG2TMSTnZ5CBiPqtqf2LWd44sTtAZnJgggwTRsXhhsW52Lq/Al/sOtun137wzUk88vL3qGsWP1R1ejHIEA6ZDABw/qxMGM12fLz9NE5VtWLl4lw8fue5+M0NswCIXyBVfiw56YlMKsHl54zBoVONeO2Tw0iK0yCtm+KKREQjXUOL+LcsMcZ3Nx9XO+beLuaDyXVxL+30zd21XOLQqUb8+tlv0Nxm7vJam90JRT+DDAAQqVXiqvPHoaHFhDc+O9Lr8e98dRwbt5Vi676KXo8louAoOdWIrwsr8Jc394bk/Cz8SET91qQTv8z8cNEEzM9rwznT+lZDoCfXXTwB+47W4d0tx7F43mi/X3ekTEznLCltxEUFWrQaLAAQshaWnU3PSURspApvbhK/qM2fmo6UINzRX3reWERoFJDLJBifFRdW9RiIiMKJ629ZfLTvDLKI9va8oV0uIf63SyaDRoGGVhP++r/9qGow4HSlDnG53sESm92J6IiB3VcclxELAHjnqxO4+fLJPR57pr2VsskauqAM0UhX02AAANhD1H6WmQxE1G+uL2bJ8VosXzgOWnX3Bfz6SiaVYO6UVNQ0GtGqt/R47NEzTahosMLucOL42RYAQElpAwCg1Z3JEPrlEoDYXWPBjHTY7E7kZMUGJcAAiEszLpufjUVzRndb/4KIiACz1QEA0Kh8Z5FFaMR7cqFdLiFeKPgq/Ggw2aFVi2Ns0Qc+kwEAJo2Jx8IZGZBKgLpe0q/bjOLf3d4KUhJR8FTW60N6fr8+cfR6PZYuXYqKiq5pT5s3b8aKFSuwfPly3HnnnWhtFfv0VlVV4cYbb8Rll12GO+64AwaDIbAjJ6KQa2xtv/sT5TvFdKDGj4oFAJysaOnxuGf/sw/vfteIU5WtsNrEKtolpY0AOmoyxIRJJgMgLpkAgHOnpYd4JEREZGuvLaToZqmaRiWHVIJeCywGk9Ppu/CjVq2AyWJzt/lt1nkH5ZvbzCivbYOs8zqLfrj+0olwCsCBE/U9HqczivP05e6z+HOIUrWJRrqqevHaW9fLjbpg6fUTp6ioCDfccAPKysq67NPr9VizZg1eeuklfPjhh5g4cSKef/55AMAjjzyClStXYtOmTcjLy8MLL7wQ8METUWg16czQquU+W1EGQk5mLCQS4ER5S7fHNLSYUNVgQIvBgXe3nAAALJ6XjepGA+qbTdAZLJBKJe41teEgd3Q8Hlk1H8vOGxvqoRARjXjuIIPM99diiUT8G2IM08KPJosD0vZila99chhWm8O9/5/vi11WDp1qGPAYMpIioVXLcaqytcfj2tqD+wCwbX/lgM9LRH1X216brNXj/8fB1GuQYf369Vi9ejWSk7v2DLbZbFizZg1SUlIAABMnTkR1dTVsNhv27NmDxYsXAwCuvvpqbNq0KcBDJ6JQa9KZER8dnCwGQLxDk5EUiRPtSyB8OXhS/OIkkQA7i6uREKPGhflipkDJqQa06q2IjlCGXU2CWbnJAy7wSERE/qtpNOCJf++GxeMiHABsdgdkUon7Qt2XCI0ipDUZ3IUfOy+XaF8mofO4kNheVOV+7AqgBIJUKkGkVtlje2mHU4DJwmUSRKFma/+cs1gdvS47DoZegwxr165FQUGBz31xcXFYtGgRAMBsNuOll17CokWL0NzcjMjISMjl4gdfUlISamtrfb4HEQ1dzTpLUIMMADA+KxYnypu7bZtVfLIBUVoFZowVaxvkjo7HmPQYRGoUKD7ZAJ3BElZLJYiIKDTWbSjBjoPVOHCsDoAYXNiwtRR1TaZeaxZEaBShXS7hrsnQdbkEAJz0yPjzbMEpk0l8vq6/1EqZu4aFL3ZH4IIaRNR/docAefv//3c//fWgnz8gOc5tbW248847kZubi6uuuspnQKE/H24lJSWBGJ6XwsLCgL/nSMW5DIyhPI/V9a0YlaQK6s+ghh7NbRZ8vX03YrRdP7L2HK5GRrwCs8ZGYH+pEZFyA/bv34dRiXLsLK5AXIQcMplkSM9zKHC+AoPzSBQ+HE7xAljWvizi2wOVeOVD8btmlLbnYHSEWgG9MTyXS3Tmmb3gCjgEKpdPrZTB0lOQof3cuaPjcPRMc4DOOrJYbE7UNRuRHBecwtA0MtgcTqiVcuhNNjTpBj+TYcBBhrq6OvzsZz/DvHnz8OCDDwIA4uPjodfr4XA4IJPJUF9f73O5RW/y8vKgUgWuInxhYSHy8/MD9n4jGecyMIbyPAqCAP3/Psb4MenIz58StPNEJDbhs8JvoYnNwqy8NPz7k8PYfbgW0RFKTBmbgFaDAz+8ZDLStc1Ys2oepoxNgFophw7leOY/+2C22jA3L23IznMoDOXfy3ASrHm0WCxBCcITDXeOTsUTDaaOtH5/MhlCWa3d2e1yia71hvSmjqUTroKPgWpjp1LIuyw38eQKcMyenOoOMhw+3YjJYxICcv6R4LXN9ah+50ts+PNyr6wUor6wO5wYmx7jbu0+2AZUatbhcOD222/HkiVL8NBDD7mjqwqFAgUFBfj0008BABs2bMDChQsHPloiChttRhvsDmfQl0uMTY9BlFaBVz86jDc3HcV7X59EdIQSFqsd6zcfBwBMy0kEAOTnpkCtFGOnBZNSIJVKYHcIXC5BRETuDg329owGzwKJvQUZIjWKELewFP/bOZMhIynS/Xj25BTIpBK0tIl3LddtLMbW/WJnuEDVAFIpZTBbu6+54FouEROpwg2XTgQA/O5v21Fe2xaQ848E1c3i79kTr+0O8UhoKLPbncgbl4DF80aLzwd5KVO/MhlWrVqFu+++GzU1NTh8+DAcDgc+//xzAGL2wdq1a7F69Wo88MAD+Mc//oG0tDQ888wzAR04EYVWk05sXxkX5CCDUiHD/906D6tf2on1m49j7pRUPPiTOZBKJThR3ozyWj1GpUahocr7dVFaJaaMSUBxaQNiIgOXEUVEREOTK5Nh275KjM+KhdVjWUFv9/nDpvBjp1hIcpzG/dhidWBMerQ7g+DDbafc+x79+fyAjEOtlMFs6T2TQSGXeP3tDeVSk6Fq16GaUA+BhihBEOBwCpDLpBiVEgUAMJrtiB7Em25+Bxm2bNnifrxu3ToAwNSpU3H06FGfx2dkZOCNN94Y4PCIKFw1tYpBhmBnMgBiMcc/3nYONu85i59cMdldAXx8VhzGZ8V1+7o5U1LFIAMzGYiIRjxXJsPW/RVobjNj4uiOvx/17e3euhOpUcBidcBmd/aa9RAM3RV+lEgkuP3qaXjx/YOwWB0YlxmLXSVdL07TPTIeBkKllPW4XMJ1t1Qhk0Gq6ZinUBbNJBpp7A7x80Iuk7qXVBnNtkENMgz+pyQRDQtNOhMAICEm+EEGAJgwKg53XjPd5/rT7pwzLQ0alRyj06KDODIiIhoKnB5diprbLHjnqxPu5900MHKL0Ih/e0K1ZKK75RIAkN3+N66xva10i96CZb/d6N6fkRQRsHFEaBRoM1rh6Cb12pXJIJdL3OMCgGf+U4gz1bqAjYOIuucK9olBBjGnwGge3NayDDIQUZ/Z7E7sLK6BVBL85RIDkRynxX8fuxx54xJDPRQiIgoxqccFulbVkcybGKPGkvnZPb7WHWQI0R15p9N34UcAGJcRAwDQqGRdMvcuyM/Eiw8sCtg4ckfHw2J1oLSy1ed+dyaDXIas5EhMGSsWfGwz2vDk63sCNg4i6p47yCCXIKL95tw7Xx3H0UEsAhmQFpZENHI4nAIe+9cu7DtWh58unRywYlLBImVlZiIiAuCZBOAq/ggAr/7f4l5fGxnyTAbfyyUAQK2SY/Wt85CVEoXmNrPXPo0qsF/1U+LFtoqtet8t8dyZDDIJZDIpnvzFAndWhSNAHS6IqGd2e0cmQ0yUWBtle1EVMpOjkJsdPyhjYCYDEfXJ6apW7DtWhx9fMRlXXzg+1MMhIiLyi83uxIwJSchIikRNY881GDpzZTKEqoDhx9tPA/DOxvBUMCkFKfFa5I6Ox4anlrm3B7oFolop3ljorvij3d6RyeDiqt3Edox952RghvrB5rFcwnO51PhRsYM2BgYZiKhPqhsMAID83OQQj4SIiMh/NrsTaqUMGpWszxkJrk4JnTMFBstnO8sAeGdjdEcmk+KnSycDEDstBZK6PTPC1KmNZVm1DgaTzePipmOgc6ekiuNikMEvKkXHPPXULpSoO541GTwDfnFRg9dtjUEGIuqTmkYxyJCaELhCUkRERMFmtTmgVMjcF8p9kRynhVTSEWgfTJ6tM/29r31RwShcc2EOrr4wJ6BjcdWyKClt8Nr+y798jYde/M6jhWXHhc3Pr5oKjUoW8KUbw5VT8MgYsXbfyYOoO+6MIpn3pX6kht0liChMVTcYEBul4pcFIiIaUqw2B5RyGdTKjr9f7zx+hV+vVcilSI7XhiTI4Nles6pe79drYqNU+MnSKV4/ayC4AjRfF1a4t7numpZWtMJmFy+KPdt8ymVSzMpNQVuIlpoMNU6n4K4BYrIwk4H6zrPLi6dIrf8d2gaKQQYi6pOaRiPSmMVARERDjNXuhFIhdV/ASaUSqJT+Fy9OiNGgUTf4yyU8l3YUTEoZ9PN7knvcGXUFFKy2jrvtrkBC54uZaK0SbUbrIIxw6HMKHTVAGGSg/mhpL8zqWubl0pc28APFIAMR9Ul1owGpCdpQD4OIiKhPbHZxuURUe5tHjVLms1tDd2KjVGhpM8Nmd+LNTUdgDGI7S5vdiXUbitGkM7svNJ/+1UKMSY8J2jn7qrFVDLhYvIIMYiChcy2IqAgl9EYrCxn2wukUIAhAZPv8MchAnhxOAS+8W4SzNboej3P9v5kYowEATBwdB2Bw66IwyEBEfrPaHGhsNTGTgYiIhhyLzQmFXOq+AFb2sQVzfLQaTToLvi+uxv++PI7XPjkcjGECAI6eacKH357C//vffveFZrgsU/zZ8ikAgFWPb8axM02w2jragb616Sg0KrlXxgMARGkVcAoIamBmqNp9qAaP/WsXjGabu9CjK9vGzCADedi8+yw+21mGZ97e1+NxTe0ZV3HtnV0eu+0c/OvhS4M+Pk8MMhCR32qbjBAEIDWRQQYiIho6jGYbnE4BEWoFottT+e2Ovt1Vj4tSwWSxQ9L+7bmyzr/6CP3hWlNdUdsGozm8ggwLpme4H3+47ZTXcglADCh0FhclXuwcPt0U3MENQX/81y7sOlSDHz70KX7z3DYAHcslumsVSiPPe1tO4G/vHAAACM6ej7VYHe2dJcQPK7VKjqQ4TZBH6I1BBiLyW3V7ZwlmMhAR0VByqrIVgNglIrb97p7F1rcLuPj21zXrxPXOrpTkYGgziMsOnE7BncmgVYdHkCExtuNiZduBStQ2Gb32j0qN7vKalPZlln/8167gDm4IUnoUyaxsL+zpymQwMpOB2nlmTnUu6NiZIAgIdcdYBhmIyG81DWxfSUREQ8/jr+0BACTFaZCRFAkA6EM5BgAdqcd17d0ePAsydvbi+wfx8yc292OkIl17kEEqk7qDDIHuFBEo//3iGADgtqumYsb4JNx13fQux/DmRPe0mq6ZH+5MBiuDDNSVZ4tYX5yCWNg2lMLz04qIwlJ1owEalRwxkYPXZ5eIiGgg7A6nuyDhuMxYOAVxmcR1F43v0/sktd/BL69tAwDoTd13S/jku9MAxDuKfSku6WLwqF1gstihVspCftHg6bL52fhqz1nERatxtn0+xqTHYOmCsT6Pj4lUYVJ2PE5VtQ7mMIeECLUcLW0Wr21sYUmdKeVSWNuXUZnMPf9eOJ39+9wJJGYyEJHfXO0rQ/3BRURE5K+t+yoAANdcmAOFXAqVQoYNTy3DDxZN6NP7pCdGQCmX4tiZZgBiTYfXPj7U42s6Xzz6y+a+mLDBZLGHTT0Gl19cOx3v/2kZMhIj/F7OMXNCEixWB+yOXhaUjzAaH20FlQoZFHIpCz+Sm2vJUWqCFiaLHRV1bahq8F0XRhCEkAclGWQgIr+dqdEhIzky1MMgIiLymysocP2lE93bZDJpnwPmMpkU6UmR0Hssk3jv65M9Xgh2rlfgL3t7kMFgssFgsoVdkMElJkrlfjzaRy0GTwmdMkFIFOEjOCOTShAdoURNkxG7SqohCGz9OdI5ncCC6emYMSEZJosdd/xpC2574qtujmVNBiIaIhpbTahvNrl77RIREQ0FrQYLRqVGBaSmgWfRQ5ezPVw0/+GfO3Dv/9vW5/O47vY7BWB7UVXYFH3sbNWKqbjy/HFY9+CiXu+czp2SCgDYe6R2MIY2ZGh9ZDLIZBJMH5+E74qq8Niru7GHczbi2R1OyOVSqJWyXguCOpnJQERDxdEy8U7QpOz4EI+EiIjIf1ab06uC/0Ak+Qgy1DebumyLjhBrF5mtDhw729zn89g6LSnQqLpeiIaD6AglfrY8z6+C0DGRKiTHa3G6SjcIIxs6fAWQpFIpi2yTF7vDCYVMCq1K7tU21rW0ypNTQMiXNjPIQER+OXqmCUq5FGPSY0I9FCIiGoYsNkdQ0sLtdmev1dj9Fe1R+NgVuGjSebeytNoc7u4QLg5n334uu71zkCE8Mxn6KiMxAjXt7bBJJJd1vRyTSSWI0nYElhwOLpcY6VyZDJpOQSlfdV/EFpYMMhDREHC0rAnjMmOhCNDdICIiIhej2YZrH/gYV93/Ub8CDR9+W4r7n//W5z6r3RGwv11aj4v9d55YCplUguY27yDD14UVXV6n0/etAKTDKSAlXovrLhY7YNidw6NYYly0Gs39LIY5XDl9BKAkEsDzEtHiceeahj+DyYYPvjnp7oQDtAdLZVKkxGu9ju38+QOwJgMRhYmv9pzFJ9tPdbvfZnfgZEUrcrlUgoiIAkAQBHxV1IrT7S0NW/XinX+HU0B1P+50r9tQgiNlTXjnq+Nd9lntTigVgclk8MwokEoliItSdclkOFLWiAiNArNyk93b6lu6Lqnoid3uhFwmQe5o8e9ueuLwSJ2Pi1Khpc3MQoYefE1Fm9GGRXNH4/JzsgEAFiuDDCPJSxuK8a+PDqGsVgzIbdl7FgazHXKZFOMyY72Obdb5CDIIAiSsyUBEobRl71k899/9ePGDYvzvy2M+jymtaIXd4cSkbBZ9JCKivut8Id7cZsG3h9rwu7+J2QcGj44NnZcK9MXrnx7pss1mC1wmg6q9eOR5MzIAtN+Z13nfmTdZ7EiIUXvVgaio891qrjs2hxNymRT5k1Jw21VTcfPlkwc48vAQH62G3SF0WU4ykjl9RBl0egtUChluvGwSAMBi677QX3WDAX9/t4itQYeRumaxK83RCjOadWY8+/Z+AIBcLkVclNrr2BYfWVJiJgODDEQUIjsOVuGv/zuA6eMTcWF+Jt7cdBTf7q/sclxxaQMAuO+oEBER+eubfRX48SOf43h7AUSHU8CPH/kcAGCyiHdo24wdF529VU7vzOn0rqTe+c6eze4MWJDBdQde1n6++Gg19h2rQ4NHpoLF6oBSIcMlc0a7t1U3GHCqshUPvvAdWv1YOuFafy2TSrB0wdhhU5MhMzkKAHC2JjBtLPVG65DPivAVZMjPTQEAqJRiBk5PmQy/f2E7Nu0sQ2UfA1kUPEazDes3H+93MM3VFnf3cT3+/m6Re7tcJu3yWeYZoHURBDDIQEShsWlnGf70+h7kZMXiwZ/Mwa+un4VRqVF49+sTXf5gbz9QhYmj4hAXre7m3YiIiHz7vqQaAFDe3uqxtqnrcgi9xxdlo7lvQYbTVa1e69pvfuRzr/ez2p1QBqjwo6uAo0wmfoF3/V28689b3MdYbA6oFDLMmZKKjX9ejgi1HAazDZu+L0NxaQO+2HWm1/OIyyWG39f00WntQYYe2n72xmZ34r0tJ/D8+gO44Q+fYf3mrktkSita3Bdq4U7olIAglwE5WbEAOoqL9lSTobFVDKqZhsjPOxL85/NjeOOzI3jnq+Puz7++8PwM9AxCdf6dlkolXp917tc4BUhD/PEx/D69iEY4ncHq/mNkMNl83jHRG634x/sHMWNCMh67/Rxo1Qr33ZJTla3udpUAcLZGh1NVrVg4K2PQfgYiIho+bDbxKspgFr8M3/bEV9777Q6vwoivfnQI/9vse/meL79+dmuXbTc8/CkAMQDR0GIKWCZDaoJYdG18lrh80NUBwGC2o7FVzGawWB3uO9BSqQRajQIGkw3VDWJwxZ+LQbtDGJZBhtgoNaRSiXuu+mP/8Tq89slhd7Bm9+Ear/16oxW/fnYrnn/nwECGOmgEQUBGUgRuWTYFAGD3iCdIJBKolTLUNBh7fR/X/18Uesb2f4sNW0ux9tXdPot79sSzA0tspAqupISxGd4d3iI1Ct9BBkEIeQvL4ZF7RUQAxLZZdz71Fex2J6aMTcSBE/WI0irw4u8uhtoj1fJ4eQucTgFXX5gDtbJj+wWzMvHvjw/h4+9OYdIYcWnE1v2VkEo61p8SERH1hVIhXizXN/u+sHzoHzswflSs+3lZtQ5l1Tr8cNHEAZ3X4RTwm+e2uh8HwrScJPy/31yAMenRALxTkrcXVWHFwnGw2BxI9Cg0GaFWYMvecvdzX+nNndkdTqgCVKwynMikEsT7KJbZm10l1Sg51YifLc+DTu+dgt5m8J7PmkbxgvxEecuAxjpYXBeEy84bi399dAgZCUqv/dPHJ6HoZH2X15VV6/DX/+13P/fn94oCY8ves3A4BFwyd7TP/bJOAUKrzeH1PbwnDqeAzh9Xo1OjkRirwfmzMgEAj6yaD6kUeOG9gz7/3Z2C9xKyUBh+IVKiEWzPkVq06q0YlxmLkxXNmDM5BY2tZmzcVup13PGzzZBIgPHt6XguGpUci+aMxndFVSitaIHDKWDrvgpMH5/UpdAMERGRP2zthRwbuumwcKSsCR9uO4X4Tkvy+nLRtHBm10D4lfd9CLtD/Lbuq81bf43NiHHfJXRlLABiMEEQBJTXtnltL6vWeb3++5KOO+9Hy5pQ3tA149DWXpNhOEqI1eD42WbY7L13THA4BVhsDjz26m5s2Cp+l/Gs3wGInTs87xS7upNEaBQBHHXwuIIMcpkU//z9xbjxggSv/ZnJkT7/X3j908NegRQGGQbPs2/vx1/XH+h2v8Xqna1ksvq/lMXaaWmMxeqAze70qssyKzcZMyYkI0qrgN7ImgxEFGRb91UgLkqFR287B/9efRl+d/NszMtLxXtfn/RaNnH8bDMyk6OgVXf9A3ztReMRG6XC4//egyf/vRu1TcZuI7VEROFAr9dj6dKlqKio6LLvyy+/xLJly3DFFVfggQcegNXKqvaDzeboOcjgMntyitfzXYd6X8vsqqiflRKF6eMTfR4zfXwiVq2Y6s9Q+2zpgrGIi1IBEJdB7DhYDUEADp9u6vY1TTqzu3Xnfc9/i1e+6HqX2mZzQC4LcaP7IFk8dzTKa/XYsrcCNY0GHOlhrp79zz5c+8DH7uevf3oYuw55L4+wO5yorO8oeuhKNY/08R0nHAlCRyHR9MRIaFXeGSxatQI2u7PLxWfni8hWduwIqPpmE87U6Ho/0Adzp0KdZov/LUg7/zubrQ6xEKyPz4OEGI3P9rjsLkFEAaM32bDncC3Om5nh/mMFADdfPhkWqx0ffXsKgLj278TZFkzwSE31FBulwoM/mYOmVjN2HarBqhV5XCpBRGGrqKgIN9xwA8rKyrrsMxqNePTRR/Hqq6/ik08+gcViwQcffDD4gxzhXDUZjp5phtnjjt6V8+Lwj99d5H6+bMFYr9fVNva+Dt31hVytlGH1rfPw9h+XdDnmyvNzkJYY0a+x90ajkuPVP1wKAGhsNeHJ1/cAAOqaOsa+6sq8Lq87U63DB9+cdD/Xt9dQevbtffiuqAp6kw2RGmWX1w0Hi+aMglIuxZe7z+BXz3yD+//2rXsNu4vF5sCrHx3C1v3egcN3vjqBQ6cau7xnU2tHpsqew7UAALtzaLR0dDoF9HQ96MrI6FxzQdbpotPzd44G7pbHvsBdf/66y3ZXe8medC7QaO5DJoOrrtovfzADgFhzpLnN4rNGS1KcBvXNxi4F252CAAkLPxJRIOw4WAW7w4nzZ2Z6bc9KicLUnER8e6ASgiCgrtmEFr0FE0bFdfteE0bFYc2qeXj05/OxfOG4YA+diKjf1q9fj9WrVyM5ObnLPq1Wiy1btiAxMRFGoxGNjY2Ijo4OwShHNs+0+Dc/O+p+HKWVITM5CqtvnYffrpyF0Wne/zaNfqzbd90xVClkUMhliNQqcWmn7LuEmOAu95PJpNCq5dhR3JF58fgd57ofTx3XkWFxxzXTAADFpY3410eH3NtvePhT/Gj1JmzZW44nX9+DJp0ZURHDM8ggkUjgcAo4dqbZXUW/plNA6WePfYH3PYIwnf38Su/MlIf/uQMOp4CbVm/CkTIxM8JXGnk4EgT0WKQvQi2myXfuutL5TnXnOaTAcGVLufzlzcJeX9M5k8FotvvdatUVOFV61GSx2hw+l0+NSomG2erAwRMNXtvFwNUQyWToKRXR5Xe/+x3ef/999/MNGzZgwYIFWLFiBVasWIFnn312YKMlIp/0Jhve/uIYRqdGdamzAADnTktHVYMBZ2ra3H3KewoyAGKhoRkTun5pJyIKJ2vXrkVBQUG3+xUKBbZu3YoLL7wQzc3NWLBgwSCOjgBxucTMCUkA4O6wkJqgxdgUcZlBwaQUXJCfBQD40WW5WDgzA9lp0e5je2JxBRk8aiDcee109/s++YsFGJMe4/O1gZQQo3aPNycrFlNzOgILnrUBLj9njNgtoLHnn00QOjpXDEfKTkUtO89Hq7771P+blkzCsvPErBfPANLpqla0tC8NTYxRQ28cGssHnIKAnmr0uTMZOtVc8LyI1Krl7p+dAqtz5oIriAWg264RnTvIPPD37fjjv3b5dT5re+aXSiFFSmzHZ4DCRybDvLxUAMDLH5Z4bRcEQDYUuksUFRXh4Ycf9pmKCAC1tbVYvXo1du7ciblz57q3FxcX44EHHsDSpUsDMlgi8naqshU6gwVf7j6LJp0Zv//xeT4jl/OmpuEf7x/EjoNiCqZCLkV2Gu/mEdHIcP7552PXrl145plnsGbNGjz99NN9en1JSUnvB/VRYWHvd8OGC12bAUqJFWlxClTUiKnuM7OVkEgkXeYhJx7IiZfgC7MTO4404Lude6BWdn9PrLZFvPCqLD+DQklHbYP7r0mHUi6BubkMhYVlgf+hOlFJOy4AL5+h9vq5zNaOO6GFhYWQSQUcPOl959GXpoZqFBa2BXagYcP77nDRoROYMyEShYWF7mKd41JVKK3xvnBeNicW4+LaUFhYiF+vSEWEWoa1/6sEAHz0VUenhdFJMhw8bRwS/5+1tLTAaHF6jdXzcXmdOAcHDh5GW31HUOVsVT2ykpT42SXJ2LirCSerDEPi5/VXKH8Wi63j93PbziKMT++Yd5kUcCU37Ny9F2pF18+nZl3XIOKew7V+/Uzl9eK/95my01h5QQKe3SDWIGloqOvyeld2RFm1Dt9s340ojRi8a2lthdUuhHQO/QoyuFIR77//fp/7P/roI1x88cWIjY312l5cXIwzZ87gpZdewoQJE/CHP/wBMTHBjyYTDVc2uwNb91Xi3OnpMFvsuO/5b91pVddfMrHb7IS4KDWmjE3AR9+egsFsw9wpqcOy/zYRkaeWlhaUlJS4sxeWLVuGe+65p8/vk5eXB5VKFbBxFRYWIj8/P2DvF+7kn29GSlIctBFWlFaIBQ/HjR0NoLHbeTBIK7DjSCGyxkzEqNTug+JHzzQBqMWk3AnIn5TS7XHB9v3pIpysLgMA5M+a7tUpQxAETNn3HVYsHIv8qekw/bfS67U3nJ+AOqMWX+0p99o+a+pE5E9ODfrYQ+G6lii8/ukR9/PouBQABuTn57uXkVwwZzym6czu2hVrVs3DrInJXW6mPKhJx+Ov7cGWg2KRvrf/uASf7ihD4ckjmDptRpesiXCzce8OyJR29/8LnT8fEqt1eHXz10jPykb+9I4aWX/9+HPMmJCE/PxZKKo6hENnTw+bz5VQf0aKBR+rAABRcWnIz++oF5PyRTOq2rOWxuZM9lnvxfb+J7ioIAsLpqfj0Vc6MhgKy5Vdlvp0Jj9RD3xZjymTJ8LUVObenpGehvz8yV1f8Lb4eZKUPg5TxoqdSd7f/R3sDmfQ59BisXQbhPfrKqO3VMRbb70V1113XZftSUlJ+OUvf4mNGzciLS0Njz76qJ9DJiJf/vvlcfy//+3Hi+8fxDtbTsDucOKBm2fjdzcX4PpLJvT42gXT0qE32TBncip+e+Pw+CNERNQTQRBw3333oapK/LL42WefYdasWSEe1chjtTugkEuRlRLlTulW9NKe0dU22bNrQGd1zUbc99dvAQDRIa5fkByncT/ufFErkUjw5C8WYP7UdABdU6zHpqrxqx/O7PKeGcmRQRhpeLj2ovF4/09L8ZMrxIsmVwesL3edcQcVxmfF4pZlU/DP31+MP9wyF/m5KT6zNTOTo9yPZVIJIrVK91ITV1ArnPXWbtDVCcxg6kjBdzgFNOnMSI7TAgAiNQpYbQ6/2oJS7+qbOzo2dK4No/VY/vTzJza7H+tNNhjNNjicAoxmO1LitZiV6x34dBVh74nr5qFKIYNMKoG6fSmYr+USnmqbOrIneqvzMRj8ymTor7///e/ux7feeisWLVrUp9czPTG8cS4Dw995rG2x4d2vahGlkWLL3nJIJMDMsRFQ28VCUwcO1PT4+iSVgB9dkIixqTIcKi4a8LjDEX8nA4dzGRicx9BYtWoV7r77bkydOhV//OMfcdttt0EikSAnJwePPPJIqIc34tjsTsjlUkzNScSGraUAAIVM1jlj3ktctJg58pe39uG9J9N9HrNlb8ed/9jIwGWa9EdS+8UeIF4c9OTX18/Ec/8VU/s/eGoZig7s97ogePinc/DOlhNIiQ9OR4xwIJFIoJDLcM1F4/HV3vL24JMMf11/AIBYU8F1VzY9MRLpid0HXCI9Lvoev1MsuOkqmnn/377FR0+vCM4PESBOobfuEuLlmqG9A4nBbENFrRh807S3u3TVbdAbbYiLDu/MjaHA5FFks3N9BadDgEwqFi/1dMPDn0KllOFfD4vdZiI1Cq9uby6ff1+GrJQoTB6TAJ3BCq1a7pVd7KrJ4ApWuopIHmuvqdbZiw9cjNuf/Ao6jxamTkHwee7BFLQgQ1tbG9577z385Cc/ASDeTZDL+3Y6pieGL85lYPRlHh984TtEapX4270X4o//2oXTVTr84oZz3FFsf8zp70CHAP5OBg7nMjCCNY89pSeOZFu2bHE/XrdunfvxokWL+nyTgwLHYnNAZ7BCIZd6BQLkcinQQ10+10VlT3dm2zwK+0VHhjaTYYJH0WVf/ew9XTx7FD7dcRo6g9Xr4iI7LRqRWgXm5qVhbl5asIYadmIjVe0XSB3ZILHR/ncEifQokOkqfh0TEdqgU1+IQYbuf2c0KvH66dWPD+HdLcfR5tE1w9VxICVe/C5YWa9HXB/mjnxztZEEugYZHE4norRKn4U2LVYHvi8Rb/65fi8vmJWJb/Z1NE742zvijb6Pnl6BG//vM4xKjcLf7r3Q/TtgcXeX8M5ccBU77Sw9MQJSqcQ7yOAUev0cCragBRm0Wi1efvllzJw5E9OnT8ebb76JSy65JFinIxrWGltNKC5twE1LJiEuWo1HbzsHjS2mPgUYiIiIBovV5oBMJsX9z4vLGSLUCq8gg6KXIINUKsGV54/DpzvK0Nxmxs1rPseaVfOQ75F+bLd3pEKolUFNzu1VelLHnXZ/0pSf/tX5XVraPX/vhQEf11AQHalEWZUOnkGGk+Utfr9eIZd1eRzq5TO+lNe2Yev+Cty4ONfrd0QQ0ONdZ89j2zq15VS2/7zjMsSad6eqWpHn0TKV+scV3IzSKt2tQ3cWV8FgssPhFBChUbiDDEKnINHz7dk4ruym396Yj6suyME9z22FXCqBtf1z65PvTgMAzta04UR5i7uumudyCUDMVLDaHN12yZFIJIjSKrx+N8SOJUM0yOCZiuiLTCbDc889hzVr1sBsNiM7OxtPPfVUvwdKNJLtOVwLAJg7RSwAFalReKUHEhERhQu9yYZfPLUFWSmROFUpromPjlB6ZRso5FLYu3uDdomxGlhtHT3gP/jmpFeQweEUEKGW4/l7Lwr4zzAYQr1mOlzERqrQqrd4BV08a1z0R2QYtv+8++mvYXcIuHLhOERqO/5f8Oeu8zUX5uC9r0922e662x0bpYJCLkVji7nLMdR3rkCAxebAzuJq3PGnr1BRJy5RSUuM8GpLa7Y63NkmntI9CkKOzYjBjy+fjFc/PuTe9uL7B92PaxuNXYIMruUSGUm912aJ0iqhM3RkVgiCAMlQWi7RXSqiy5NPPun1vKCgAB988EE/h0ZELrsP1yAlXotRqVG9H0xERBRCx882o0lnRpNHwTSpVOKVbaCUy3oNMrgyH/TtyyKsNu8iDnaHE1qNAkkDvCANlMduPwdna4Zry8ngSYhRQ2+y4bH2VpTnz8zET5f5qKLfB527e4Q6oGOy2N2tOY0Wu1eQwZ/xuYo/dqaQiReiEokE8dFqr//nOnM6BVjtjpBn/QwFrgt9139dAQZADG56ZmU1tprcy7tuuHQithdVoaHF6C5e6xIb1f0SnsOnG3HeTLFziKVTkMEf8dFq1DUZ8cqHJVh+3jg4naHPZGAPO6IwZ7baUXS8HnOmpIb8jyQREVFvDCZbl22d08F76y4BdHwpr2kyAgBsjk5BBrsQVu2Yp49P6nbdNHVv8bxsxEer4PrnnTAqFgkxfQscPf2rhVh96zz3c4lEgh+3d67wXF8fKi1tHXeZf/v/tqGsWud+7k9qu1btOzCg8Fi3Hx+tRmNr90GGVz4qwXW//wR2Rw8VVwmAWKwW8B0YMJhsiI1U4fc/ng0A+PDbUzBbxZCpRiXHU788D28+sgTSTp95PQUZPv7uNI6daQLgUfjRj89Il9SECJysaMWGraW496/boDNYGWQgIt+a28z41TPfYM2672G1OzFncuj6fxMREfnLaO4aZLgwP8vruULhR5Ch/W6h6y6iZw0GALA7nSEvbkYDFx2hxDO/Pt/dYUHVjzvtE0bFoWCS9/ck14W5Z6eAUPG8sG9ps+DljcXu504BPXaXALoPMig96lGkJUb02PL14/b2ib6CgOTNahPb7q57sGvRYIPJBplMgknZ8QCAz3aUues2aNVyRGoUPrMQ4noIMgBAXXvbTKvNAaVc2qcbi6kJHTXamnRm1DWbsPtwz13ngo1BBqIQKS5twL+/qkdjq8nn/u+KqnCqshXltW2Ij1ZjylgW8iEiovBnMHlf1K26Mq/Ll27P9crdSU2MgFIhw94jYl2izoUS7XZnWGUyUP8lxGgwfYx4oRSoG7CudPWe7u4Pls7ZA56/yoIgdLnr3Vm3yyU8gnWjUqLQpDND300QwdVxkUGG3tnsTijlUqiVctx13fQu+6VSCeKi1UiO1yIpTuPuQOGrNoOLZybDtJyO7/R/vvs8AB3dcqw2R5+WSgBAahi2u+UnM9EgKK9twwvvFbnTrwCxquzpWgsee3W3O83K087iamSlROGNNZfh5YcW+ZVaSkREFGqGTpkMrvXKAPDAj2fjp0uneHUE6I5KIfNKGRY67Xc4BcgYZBg2Lp0Zg0vmjMLMCckBeT/X3d2aJkNA3m8gHA7v317P2gmCE72mtueOFu+apyVE4OlfLXRv9/xu6KrbVd5LXZDughDUwWp3QqHovlOJa/nX7EkpMFvs7uyt7oJB4vt0BBluXZHnfjw+Kw5SScfvxPaiqj7/G6UkhF+3OX4yEw2CT747jc92lKHoRD0AMaK9/1gdUmIVKK1owT/fL/Y6vlVvQUlpA86ZmgapVOLXlzEiIqJQcziceHfLCa9tibEd6+vPnZaOqy/M8fv9PK+9rJ3W1tvtTigYZBg2tCoZ7v7hzIAV8kxLiIBCLkXxyYaAvN9AdM5kqG0ywtmeWuAUhF6zN2KjVPjbfRfi2XvOd3chALyXS4xKjQYAnK3VdXm9p4o6FiftjWvJAuAdHHCRSV37lNCbbO6gQE+ZDK7ARKRGgTHpMbhpySSsveMcyKQSREeq0KwTO6y4WmP2RXftLUOJ5UWJgkwQBPe6qJ3F1SiYlIIjZU0wmu1YNjsBVlkcNmw9iSsvGIeaBgO+3H0WGUmRcArA/KlpIR49ERGR/zbvKXdfPLn4uhPoL1daecGkFHdhNBe70wkZazJQN9QqOWZNTHbf4AmFY2ea8J/Pj2HRnFFe2212JxpbzUiK07QHGXr/PR7dHkQAxM4DVpvDKwU/MVYDqQRo6KWN5bNv78f5s7K6FGOlDmJNht4zGWKjVBAEoLpBzJbprnaGy19/ewFi2mvN/GDRBPf2+CixM4irdWZf/2k8M1qiI5TQGaxYdWVeD68IPgYZiIKsrFqH+mYTtGo5vi+pxp3XTMPew7WQyyQYm6rClLwcbNp5Gi+8W4TSylZYrOKdmuR4LcZmhF9kkoiIqDuutcmeorT9DzLMy0vD5j1i8H3f0Vp3uz+9yYaS0kZkJvfeQ55GrjHpMdhzuAYmi73Hu8zBUni0DvuO1bmXxc4YnwSNWo6dxdWobtQjKU7jV02GztbcOg/1LSavVp2uO+InK1pQ1aBHm8GKie3LLARB7MTiyqgwmGwDCv4Ndza7E0pFR7ZCZ67gZkb7UrAT5S0Aes5kALrPOHA4ndh7pNbdheSW5f0PEDx7z/mQy6RevxuhwBwzoiBzZTHctGQSdAYrDp1uxJ4jtZgyNgEqhRQxkSosP28cDp9uglYlx9/uvRBLF4zBTZflsmUlERENCe98dRy7Sqrda5NXLs517xtITaE7r52Olx+6BMlxGjiFjvXkW/acBeDdv56os5kTk+AUgC93nwnJ+V0XnbXtbVh/tCQXtyybAgA4WtYMg8kGpx81GTqbmpOIiwqyumyPj1Jj75Fa3PbEV7j3r99iV0k1AMBotsPucGJMupgNoTdZ+/0zjQTicgkxkyHSR5DUFRTKaA9yfnugEkDvQYbuuGo5PPv2PgDoc+HHzu8V6gADwEwGoqB5+/OjKDrZgCadGeOzYrFo9ii8+tEhPPrKLlisDiyZnw2gGQBw5QU5qG4wYNnCsRidFo3brpoW0rETERH1xeufHgEALJmfjegIJW64dCJS4jXuO3z9pZBLkRKvdXcKaNaZEaVVwtKpPgORL5PHJCA7LRq7D9Vg+XnjBv38rqVDrg4XMpkUSbEayKQSvPHZEXy8/RTUSnnAOmrERquAqo7np6t1mJuXhlaDeIc8PSkSp6t00BtZ/LEnVrvTfaEvk0qQkRSBynoD5DIJ7A7BXZPB1ZbSVdg9QtN94cee3LJ8Cu7767c4dKoRAKDyo8VvZ+mJEahqMPTrtcEQHqMgGmacTgEff3caR8uaUN1gwPypaVCr5Fi6YCxyMmPxyx/MwOXnjnEfH6lR4L6bCtzVg4mIiIYKzxoMJmtHWvpFBaMCFjSPjRa/zDfrLNAZrNh3rC4g70vDX2qCFq36rnfubXZHl4KMgebs1HZVIZNCJhMDZwDQ3GaBwWzr98VpZ/FR3newj5wW65jo2n/+zCTxzjuDDD2z2R1e7UF/fIWYfTJ5TAKAjpoMnbvb9LelbkSnrhT9yWR4/M5zcf9NBWFTLJ6ZDERBcKqyFTqDFffcMAtZKZHIThPT037aniJHREQ0XHi2rPymsALx0V2rsQ9UQnv6b32LCXuO1KKktDHg56DhKUKj8NkS8AcPforM5Eg8f++FQTt35yKorrX8yXFaVLUXC9QZrAOqW+IpJtL7ffYdq8MjL3+PiaPFjhSuGibbDlRg+vhEtoDthtXm9GqfO39qGj56egVe+bAEB082QOjSUHdgOheMVPYjUJAQo8F5MzICNaQB428WkR8+21mGkxUtfh/vusMyc2ISxmfFhU1UkYiIKNDajN53iZt0fW/B1puUeC3kMikq6tq8zrfy0okBPxcNLxEaBQw+ggx2hxNl1Tps3FaKK+/7EIIQ2AtHoGuQwXWnOzfbO3M1ShugTIYYMRiXmRyJO6+dDgDYe6QWb206CgDIyYoFAHy1pxwfbC0NyDmHI5vd4fNCf3z7/HlmHvx25SzkZMXi9qv7n7Wl7ZTJMJA6NuGCmQxEvbA7nHjx/YM4d1o67r+pwK/X7DtWh7HpMe41pERERMNVcxCCCp3JZFJkJkfiTE0bVEoZNCoZ/vWHxYgMUJo5DV+RagVMFjscDqf7zr1nF5SXN5YAEIuKBiqjwMUh+A4yXH/JBGhUMrz68WFxjJrAnPfSuaORGKPB3CmpkMmkOH9mBn740Kfu/clxWvfjxlZTQM45HFlsTq/lEi7nzchASrwW2R5dIi7Iz8IF+V2LcPaFWukd0Aj2Mp7BMPTDJERBVtdshNMp4PjZZr+ON5ptOFrWhJkTk4I8MiIiotDqy9/HgcpKicLZ2jYYjDaMSo1mgIH8EtGeJWAwdwQW6pqNXY577u39AT93d5kMMpkUV1843r09NiowS4zUSjnOmZbuDqZ43iH/9fUzoVTIkJMpXiAHqg5EX32x6wwOHA/vmirdZTJIJBJMHB0P1QC6P/gikUjwqx/OxOjUKACA2Tr0C9syyEDUi5oG8Q9RbZMRrfre79bsOVwLh1PArNzkYA+NiIgoZIpO1OMHD32Cf310CCqlDKtvnRfU841OjUJdkxG1zUYGGMhvrt8VzyUT9c3iXfylCzqKcLtajnfnlQ9LsO9o3y6OnU4BcpkEclnP7SOyUqL69L794Voq8dQvFwLwzuYYLHqTDc+vP4A//HPnoJ+7L6zdZDIE06I5o/DIz+fj/JmZmD05ZVDPHQwMMhD1orrR4H7cWysuk8WO1z45jFGpUe4KtERERMPRwy/ugKX9jptCJkXBpBScNyMDv/zBjKCcb3yWWLyuusGAmMjAF5ek4cm1ft4zyPDtgUoAwLUXjccVHt2+fLE7nNiy9yw2bC3F6nV9uzh2CoBUKsWf716IxfNGIzrCe1nErSvyoFHJkBSr6dP79odrKYhCLkVynAY6Q9eOG8H22L92uR8v++1GvP/1iUEfQ28EQYDV5juTIdgSYjS490f5UCuHfkUDBhmIelHdYIBCLoVUAhw7031KqM3uwL8/OYyGFhPuunZGv9vYEBERDTUOp7iG+P6bCnDp3NFBOceEUbHux2PSo4NyDhp+IjplMlTV67H9QCVGpUYhLkqN26+ehoUzM7oEAFz2HqnFs/1cSuF0CpBJgZzMWNx13QxIpd4ZDSsWjsP6x5d22R5It189DSqlzOvnS4mPQHWDoYdXBcehU95dYVw1KcKJ3mSDwykEbAnLSMWrIKJe1DQakJYYgVGp0The7jvI8O6WE7j+oU/xyXensWR+NiaNifd5HBER0VAlCAI2bC2F3mRDk87stc9mD36hskit0n3BOHdKWtDPR8NDZPsdfL3JBkEQ8Nf1ByCTSfHQT+e4L+4zkyKhM1jxxa4zXV4/kCJ8TkGAVBK8AII/rjh3DN59YqnXza/RqVE4W6MbFgUGA62pVfxsi2fx9gEZ+rkYREFW3WhAWkIEYiJV2FlcBUEQIPH4g3GmRoc3PjuCGeOTcPk52SiYNPTXUREREXk6XdWK//e//SitaEVpRYvXUkIgcNXxe7PuwUVQyKRQq/gVlvzjWi5xsqIFYzKicehUI66+IAfpiZHuY2KjxQvK59cfwIX5WV4tBE3m/tcucDqFoGYp9NeMCUn4+LvT2HesDnMmpw7KOctr2wblPAPlCqDGRTOTYSD4CU3UA0EQUNNoxKyJychMjsQXu85g+4EqnDczw71/3YZiaFVy/PbG/G5T7YiIiIayj749hdKKVgDA4dONqGsvnJefm4yFMzORnhQxKOMIdItBGv4SY9UYnRqFncXV7q4GU8Z5182K80iNb2mzICmuo0aCZ4HEvhZoDNcgw6zcFERpldhaWDGgIMPeI7XIzY73qxCrqwaERiX3mlOb3QFFCOofdMfYPrZIftYMCJdLEPWgSWeG1eZAakIE5uWlITstGk+9uRdPvbEXZosdG7edQtGJBvxoySQGGIiIaNjyvFByBRgmj4nHmlXzcVFBFnJHc5kghSeJRIKCSSmorNfjZHugrPNFcXx0R2p8c5v3UiDXRefsySmobjDgu4NVfp87HJZL+KKQSzEvLxXbDlRi2W834mRFi3tfS5sFT79ViG/2VfT4HmaLHY+8/D0e+sd3fp3TYBZrYjx623zcfPkk9/aqENSG6InN1l7MVs7L5IHg7BH1wFUUJy1RXC7x7D3n40eX5eK7okr84i9f45UPSzB/ahoum58d2oESEREFkczH3dg7r5kegpEQ9d2oVO8MhM5Bhuy0jkKirnR5s9WOx1/bjbc2HQUgFpC0O5x48t973BkRvQnXTAYAyPYonrqjPXBSdLweN63ZhG/2VeDptwp9vm7/sTos++1GVNTrAQCnKlvhdAq9nq++SWwJH6VV4rqLJ+Avd58HQGwRH05c9WUULOA+IJw9oh7UtK85TUsQ00DlMil+eMlEPHzLXLQZLJg/NQ3331Tg88sXERHRcCF0uoZY9+AijE5jhwcaGkalev+udk6FVypkuP+mAgBikOGT7adw3e8/wc7iavcxUzxakxce9S/I4AjjIENKnNb9WKWQ4VdPf4O1r+3q4RWiT3ecBiAGG1yOnmnq8TWCIODFD4oBAFq1uFo/OkJcotIWoFaaDqeAVr0FAFBR14Z3t5yA0PmDyw+29mKYCgUvkweCNRmIelDdaIRUKvFamwcAsyen4vU1l0GlkHkVgSQiIhqOLO0pxC6pCYNTg4EoEEanRmPB9HSkJkSgsl6PmMiuRf3OmZYOqUQMMvzvy+Ne+36zchYuzM/CpOx4PPLK9ygubYDZYu+1AGm4LpcAgOT4jiBDfYsJp6pauxxTXNqAqeMS3c+NZhssVvGzQOcRHDhyugmTxyR0eT0AHDvThIMnG9zPte2FOKPalxm3GcX3adKZoVXLoVb27/L0358cxgffnMR/H7scf36jEKeqWrFwRobXz+kPq609yBBGdSKGIgYZiHpQ32xEQozaq+2PS38/BImIiIYazyDD079aGMKREPWdQi7F726e3eMxMqkEMZEqdwtDT7MmJgMARqdFIzZShRPlLbjuwU+w/vEroOkh0BDOyyWSPDIZjp/13aL9wRe+w38fu9zdOvbOp7agsX1+6ttrswBAS3sGwcnyFtzz3FaolTK89egSyGRS3PvXb93HLZieDmV7rYMItRxSqcQdrPjxI58DAP75+4v79fN8U1gOQAxaONszGMqqdX0OMtjsrMkQCJw9oh60tFnYJ5eIiEY8q0eQYVxmbOgGQhREsVEqfLn7rPt5waQULJyR4ZX5kJvdUeR09Us7e0zJdzrDN5PBsy7F6Spdt8e5Lt4BuAMMAFDZXpMBEL8vA8Bbn4v1K8xWBxpaTDhb0/G+c6ek4nc3z3ZnAEskEkRrlWhps3h9vnzvsUTFXw6HE83tY9CbbIjUij9b51a7nQmC0OXfz86aDAHB2SPqQXObBbFR7JNLREQjV5vRisOnGhGlVWDdg4tYh4iGLc9gwssPXYLVt87Dfe21Glx+tmyK+/GRsiaUVXd/ge4UwjeTAQB+tCQXUdqe209Kuhm/6+eWy6TuIENGUqR7f6PO7BW8cPoIxkwaE48vd5/FNQ987N6mN9n8GntZtQ5Pvr4HJ8qb8b/NHctbDEabu4bMsTO+MzRc/v5uEZbf+6HXNqvdCblMEtb/bkMBgwxEPWhhkIGIiEa4h1/cAYPZjugIFWsx0LDmcIhXp/OnpiGlmzR7mUyKe26Y5X7e0CIuG6hq0OPj7adgttrx2Y7T2LD1JJxOIayDcj9cNBFXnDvW/fxHS3Kx9NwxXse4fr7uZCRFoL7FiJ3FVfj2QKV7++5DNXj27X3u58sWjO3y2vNnZnbZ1qyzdHsuR3tRRpPFjl/+5Wt8V1SF3zy3DRu2nnQfozNacaY9APLtgUqU17b5fK+//m8/Pv/+DAC4C0YCYncJLpUYOC4qJ+qGw+FEq8GCOC6XICKiEcz1JX3KWN+F3YiGC9fd9is6XWh3dlFBFvLGJeBnj32JJp0FNrsDtz3xFQCxIOLbXxwDAMyZnBq2yyVc4mM6vudeeX4OlHIpbl2Rh9NVOtzz3FZ8taccN18+GQAglUrgdAo4b0YGHE4nrDYn0hMj8Ml3p/H4a3sAiMsw9CYbNmwtdb/vR0+v8HnuyWPju2zTm6zofIla22TErWu/BABcmJ+JH102yWu/ydKx3OKdr45Db7JhwfR0bC+qwpGyJmSleLcw3VVS7bUsZtP3ZfjhookAxJoMLPo4cAwyEHVDZ7BCEIC4aGYyEBHRyJUYo0F8jBq/uHZ6qIdCFFS/WTkLZdU6TB+f1OuxrptQTTozWto6Oi24AgwA0GqwQBrmN8U9QyAqhXhxLZNJkJMViyvPH4eN20phtTmgVMgQH63G9PGJ+PX1HZkc3+6vxIffnnI/T4hRw+5wwmz17kjji68beW1GGzpfov7XY06/LqzA8vPGdXldfLQaOZmx2H24BgBw0+WTsL2oyp2lcKZah0itAqUVrXjs1d1er920wzPIwEyGQPBrBvV6PZYuXYqKiopuj/nd736H999/3/28qqoKN954Iy677DLccccdMBh6LrxBFG5cBWRifbQ5IiIiGiksNgcykiK5RpmGveQ4LeZMTvXrWIVciugIJZp1ZrQafKf4HzvTHPatzgsmpUApl+K+H+V32ZeTGQtB6CigaLHa3YEIl3Omp3tdlEulEsRF+58FfOc109yPlQoZ9EZrl2M63/A7US7WWohub4MJiLVjRqd1ZCykJ0ZCpZS5u1fc9Zev8ZNHv8Af/7Wry/t7tuNsbrP02DGE/NNrkKGoqAg33HADysrKfO6vra3F7bffjk2bNnltf+SRR7By5Ups2rQJeXl5eOGFFwIyYKLB0twmVtDlcgkiIhrJLDYHVEqmDxN1Fh+tRpPO7HWR2lmjj5aY4SQxVoP3/rQMC33UR0hPEmuwVLV3krBYHV1auMukEq/6FTa7E6M6LU/oyWXzs92PM5Ii0KK3dOn44OqEceX5YgZDaWUrAODBn8zBdRePd5/3BxdPAAB3m8zoCGW3/zYFk1IAADPGJ8Fqd8Jmd8JotqHoRD1mtrcspf7rNciwfv16rF69GsnJvif7o48+wsUXX4wlS5a4t9lsNuzZsweLFy8GAFx99dVdghBE4c5VeIbLJYiIaCSzWB1d7l4SkRhkaNSZoWtPyX/8jnPd+8ZlxgAAdN1kOQwF6Ylit4jKegNa9RZY7U6v7AEXz2QNiQT45Q9m4IeXTMBvV87Cn395Xo/n8Mz0mDMlFa16K3RG76UWFptY8NEVZHAVbEyM1WDZeWJBySXzs6FWyfHKQ5fgpQcXiftjNKhtMrpvHHrKzY7DO09cgTlTxMwVo9mGQ6caYbM7MT8vrccxU+96zQVZu3Ztj/tvvfVWAEBhYaF7W3NzMyIjIyGXi2+flJSE2tragYyTaNC16LlcgoiIRjaHwwm7wwklgwxEXSTFaXCivAWt7XfLs9OjMX9qGnYWVyMjKRKlFa2wO7q2bhwqIjQKxEapcPBEPb7cJV7Y52Z3LdboWdlhfFYcYiJVXYoz+mPO5FT878vjOFtvxYfbSjF5bAJyMmPR2GqCVCpBfKdlGPHRaijkUrz4wMXuzjfJHlkVY9Kj8c2+CqxZ973X6y6enYUrzhkDtVIOrVq8Xv3zm3tx7rR0AB0ZHNR/QVlw0jnFBUC/1iOVlJQEYjhePIMhNDDDfS6PnWyBUi7BoZKioJ5nuM/jYOJcBg7nMjA4jzTUWWziHUVmMhB1lZ4YgTajFZt2lkEqlSBCrcD0nETsLK7GxQWjsG1/JablJIZ6mAOSnhiB/cfr3c8nj+kaZHCVa/nZ8jxcNn90n8/x4gMXo7JejzHpMZDLJHhvRxOAJgDAhj8vd2cuSCQSzMtLxfclYnFHVy2IjKRIn+87NiMGn+4ow6n25RUunoUrDWYbAKDoRAO0agUkEt5gDISgBBni4+Oh1+vhcDggk8lQX1/f7XKLnuTl5UGlCtw/cmFhIfLzuxY1ob4bCXO55fBeJMQKQf05R8I8DhbOZeBwLgMjWPNosViCEoQn8uVfHx0CANZkIPIhb5wYQKioE2sWSKUSLDlnDOZNTUNCjAaP/Hw+Jvu88z90ZCRF4vBp8YI/KU7j88ax6/Nh+vjELjUb/D2HK1DQOfPD1R3C5barprmDDL0Zkx7jfpwQo/ZZHyN3dMe/z87iasRHqyCTsbvEQAVlBhUKBQoKCvDpp58CADZs2ICFCxcG41REQdPcZkFcFCOZREThrqcuWJs3b8aKFSuwfPly3HnnnWhtbfXxDtQd1x3E7LToEI+EKPxMGBWH0aneRQ6lUgkSYjQAgFkTk6Ee4p0K0j2yBPRGm89j7vtRAa48fxxGpwb+c+LHj3zu9Tw+Wo3zZ2biT3ct6PW1oz0+t5675wKkJmjxw0smeB0zYVQc/rf2cvfzm5ZMHtiACUA/gwyrVq1CcXFxj8esXr0a69evx+WXX469e/fi17/+dX9ORRQyLXozYhlkICIKaz11wdLr9VizZg1eeuklfPjhh5g4cSKef/75wR/kEGW22gEA8/JSMWVsQohHQxSeIto7H9x8ed9rEAwFnksRTBa7z2NSEyLws+V5QW1ze82FOQDEIM69P8rH5DG9fya5lnlNyo5HbJQKL/1+kc9aEVq1wv0Zd/HsrACOeuTyO7S2ZcsW9+N169Z12f/kk096Pc/IyMAbb7wxgKERhcaf39iL3Ox4NOssmJaTFOrhEBFRD1xdsO6///4u+2w2G9asWYOUFLFV2cSJE/HRRx8N9hCHrKp6AwDg/FldW9sRkehHl03CI698j0vn9r0WwVCQN67jYv63K2f1cGRgzJ6cgj2HuzYMWL5wXL/e790nl0LWHvzoqUbgmlvnwWx19KuOIHU1tPN3iAKssl6PbQcqsftwDcxWB5dLEBGFuZ66YMXFxWHRIrGVmdlsxksvvYSbbrppsIY25FXUtQEAMpP973lPNNJMzUnEu08sDfUwgiZKq8Sf7lqAjKRIxAxCQcSHfjoXO77fg8lTpuLZt/eh6EQD7v9RQZfOEv7yt2itWiUf8ktbwglnksjDzuJqAIC1vZo2l0sQEQ19bW1tuPPOO5Gbm4urrrqqz68fqd2u9h3SAQCqzx5DY1VwCqENhXkYDJwHEedBFI7zcLJp8M6lVclQdvIwrpqtxlWzMwFnDQoL/Sv2ONyE4++CPxhkIPLwfXE1crJiMSYtGl/uPou4qP5FTYmIKDzU1dXhZz/7GebNm4cHH3ywX+8xUrtd7T17EBFqI+bPnR2U9x8q8xBsnAcR50HEeeAcuIT7PPTU7YpBBqJ2DS0mHDvbjJsvn4SLZ4+C3eHEJB+9gImIaGhwOBy4/fbbsWTJEtx5552hHs6Q06yzIK6fKcpERDRyMchA1M61VGL+1DTER6vxm5XhGzkkIqLurVq1CnfffTdqampw+PBhOBwOfP652AYtLy+vxzoO1KFJZ+73OmgiIhq5GGQgAuB0Cvhs52mMzYhhgSsioiHIVxesqVOn4ujRo6Ea0pBjMNmw+3ANLswXW7g16czIHc2MPiIi6pvgVPEhGmIKj9aivFaPq87vX3scIiKioW7dxmI88599OH62GYIgoFlnRlw0CyATEVHfMMhABOCDb0qRGKPGghkZoR4KERFRSOiNNgBAY6sJBrMdVruTyyWIiKjPGGSgEe9MjQ7FpQ1Ydt44yGX8X4KIiEamCI0CANDYasb37XWKorTKUA6JiIiGINZkoBFv/7E6AMDCmcxiICKikUurFr8W/m/zcbS0WQAAERp+VSQior7hbVsa8YpONCAjKQKJsZpQD4WIiChkBEH8ryvAAABatSJEoyEioqGKQQYa0ewOJw6dasC0nKRQD4WIiCikzFZ7l20RDDIQEVEfMchAI9rJ8haYLA5MH88gAxERjWxmq6PLNtcSCiIiIn8xyEAjWtGJegBA3riEEI+EiIgotCw+ggzRESz8SEREfcMgA41oB082YGx6DGIi2QeciIhGNpPFe7nET5dORiS7SxARUR8xyEAjlslix+HTTZg2PjHUQyEiIgo5S6eaDFdfOD5EIyEioqGMQQYaktqMVjgczgG9R/HJBtgdThTkpgRoVEREREOXr5oMREREfcVqPjSkVNXr8cZnR/DdwSpEqBWYPzUNt109DSqFrM/vVXi0FmqlDJPHxgdhpEREREOL2WLHotmjMGdKKrQqfkUkIqL+4V8QGjLsDiceefl7NLdZsGLhOOgMVny5+ywcTgG/vn4mJBKJ3+8lCAIKj9ZhWk4SFPK+ByiIiIiGG7PVAbVShvlT00I9FCIiGsIYZKAh4/OdZahqMOD/fjYXsyenAgBS4rV4+4tjyM2Ox5L52T5f53QKaDVYEBeldm+rbjCgtsmIqy7IGYyhExERhT2z1QE1MxiIiGiAWJOBhgSDyYa3vzyGqeMSUTCpo4bC9ZdMxLScRLz52RFYbQ6cqdFh3cZi6E02AGLGwjP/2Ydb125GfbMJTTozfvXMN3jg79sBAPm5ySH5eYiIiMKJ3eGE3eGEWsnsPiIiGhiGqynslVXr8NQbe9BmsOKnyyZ7LYuQSiX4wcUT8PA/d2Db/kps+r4Mx8404+CJBtx7Yz5KShuwdX8FAOCj7adgszlwplqHc6elIy0pAqkJEaH6sYiIiMJGk84MAIhmS2ciIhogBhkorBnNNjzwt2+hVMjwyM/nY3xWXJdjpo1PRGZyJF75sAR6kw2Xzh2NrfsrcNdfvgYAzJyQhEitEpt2lsFmd+Li2aPwyx/MGOSfhIiIKHydrWkDAIxKiQrxSIiIaKhjkIHC2p7DtTCY7fjDz+ZhytgEn8dIJBIsPXcMXvygGFkpkbjzmmm45qIcHD7VBIvNgfNnZaKmwYBvD1RCLpPgB4smDPJPQUREFN4aW00AgOQ4bYhHQkREQx2DDBTWvjtYhfhoFSZl99xm8sKCLOworsYPFk2ATCZFemIk0hMj3ftzsmKxaPYoJMVpkBLPL1BERESejGY7ACBCw6+GREQ0MPxLQmHLZLGj8EgtLp07GlJpz+0ptWoF1t5xbo/H/Or6mYEcHhER0bBhsohBBrWSXw2JiGhg2F2Cwtbew7Ww2p04d3p6qIdCREQ0rBnNdmhUsl6D+kRERL1huJrCjt5kw1ufHcHXheWIj1Zj0hjftRiIiIgoMEwWOzQqfi0kIqKB418TCisOp4CnXt+DgycbcN6MDFx9YQ5kvKtCREQUcFv3VaChxYRrLhoPo9kGjUoR6iEREdEwwCADhZXXPzmM/cfrcdd1M7B43uhQD4eIiGjY+stbhQCAc6enY3tRFSaMig3tgIiIaFjwuyaDXq/H0qVLUVFR0WXfkSNHcM0112Dx4sV46KGHYLeLxYM2bNiABQsWYMWKFVixYgWeffbZwI2choVTla2459lvcOhUI/YcrsH735zEkvnZDDAQEREFkc3ucD9e9fhmAEBzmyVUwyEiomHEr0yGoqIiPPzwwygrK/O5/7777sNjjz2GGTNm4MEHH8T69euxcuVKFBcX44EHHsDSpUsDOWYaRv71UQlOVrTi0Ve+h1wmxZj0aKy6Mi/UwyIiIhrWNu8+22Xbz5bx7y8REQ2cX5kM69evx+rVq5GcnNxlX2VlJcxmM2bMmAEAuPrqq7Fp0yYAQHFxMTZs2IDly5fj3nvvRWtra+BGTkNe0fF6FJ1owFUX5CBCo4DZ6sB9PyqAQi4L9dCIiIiGLaPZhhfeO+h+HhupwkdPr2A3JyIiCgi/MhnWrl3b7b66ujokJSW5nyclJaG2ttb9+Oc//zmmTZuGZ555Bo8++iiefvrpAQ6Zhrp9R+vwwdaTOFOtQ1KcBj+6LBdXX5CDNqMVWSlRoR4eERHRsPbBN6Vez5eeNyZEIyEiouFowIUfBUHosk0iEbsB/P3vf3dvu/XWW7Fo0aI+vXdJScnABudDYWFhwN9zpOrvXL72VT1qmqzISFRiweQIFB884N5X17Xkx7DH38nA4VwGDucyMDiPFI5qmgwAAKVciv+uvRxymd8luoiIiHo14CBDSkoKGhoa3M/r6+uRnJyMtrY2vPfee/jJT34CQAxGyOV9O11eXh5UKtVAh+hWWFiI/Pz8gL3fSNbfuTRZ7Kj436dYdt443LJsShBGNrTwdzJwOJeBw7kMjGDNo8ViCUoQnkYGh8OJbwrFiP5TvzyPSxSJiCjgBhy6zsjIgEqlct+t2bBhAxYuXAitVouXX34ZRUVFAIA333wTl1xyyUBPR0NcSWkD7A4BsyYm9X4wERERBVSTrqODxNiMmBCOhIiIhqt+BxlWrVqF4uJiAMBf/vIXPPHEE1iyZAlMJhNuvvlmyGQyPPfcc1izZg2WLFmCQ4cO4b777gvYwGlo2nesDkqFDJPHJIR6KERERCNOfYvR/di1vJWIiCiQ+rR+YcuWLe7H69atcz/Ozc3Fu+++2+X4goICfPDBBwMYHg03+4/VIW9cApQKpmcSEREFU1WDHh98U4ofXzEZkRoFAKC+2RTiURER0XDHSj80aMqqdaisN2DWxK6tUImIiCiw/vXhIWzaWYbdh6rd27YUlgMAfnjJhFANi4iIhrkBF34k6kljqwlFJxqgVcvx93eLEB2hxLnT2IebiIgo2KRScTnEsTPNuKhgFMxWO/YdrQMA/OiySaEcGhERDWMMMlDQCIKAP72+F0fKmgAA8dFqPP6Lc5EYqwnxyIiIiIY/g8kGADh+thkAUFrRCgCYOCouZGMiIqLhj0EGCpqvCytwpKwJP106GaNSo5GTGYvYqMC1JCUiIqLu6Y1ikOFMTRucTgHHzojBhj/8bG4oh0VERMMcgwwUFAaTDa9+fAgTRsXiyvNz3CmbRERENDh0RisAwGZ3orbJiFc/PoT4aBViIhnwJyKi4GHhRwqKlzYUQ2ew4varpzHAQEREQaXX67F06VJUVFR0e8zvfvc7vP/++4M4qtCqbzahocWE/Fyx2PLGbaUAgElsIU1EREHGIAMF3I6DVdiytxzXXTwe47O47pOIiIKnqKgIN9xwA8rKynzur62txe23345NmzYN7sBC7GRFCwDgsvnZAMQW0gBw6/K8EI2IiIhGCgYZKKAsNgdefP8gxmXG4PpLJoZ6OERENMytX78eq1evRnKy7/bIH330ES6++GIsWbJkkEcWOk6ngPe+PgEAmDJWzFyoajAAABJi1CEbFxERjQysyUAB9fn3ZWhus+C+mwoglzGGRUREwbV27doe9996660AgMLCwsEYTlg4cLzeXeQxSqvEpOx4HClrwpXnj4NEwiWMREQUXAwyUMBYbQ68t+UkpoxNwNRxiaEeDhERUUCUlJQE/D2DGfT4plgHAPjBeQkoLCzEigI1Fk9PRWyEJeyCLeE2nlDhPIg4DyLOA+fAZajOA4MMFDAbt5WiSWfGb26YFeqhEBERBUxeXh5UqsB1ZCgsLER+fn7A3s+T0ynguY8+R1piBG66ckFQzhEowZyHoYTzIOI8iDgPnAOXcJ8Hi8XSbRCeQQbqE6vNgZc3lkApGDBjhhOy9iURu0qq8cZnRzB/ahqmjWcWAxER0WCqaTRg1eOb3c9/unRKCEdDREQjGRfNU5/sOVKLz3aWYeP3zbjrL1+jrtmIo2ea8Oe3CjEuMxa/WTmL6z2JiCikVq1aheLi4lAPY1DtPlTj9dzVupKIiGiwMZOBetWkM2P3oRosnjca3x6oREykEotnRuGTPa34/QvfwWC0Ij5Kjf+7ZS7USv5KERHR4NuyZYv78bp167rsf/LJJwdzOEGjN1ohlUqgVSu8tq/b2JGyet+P8hETGbjlHURERH3BK0Lq1QffnMSGraVwOJzYc7gWF8/OwuQsO+bOmoI//HMHtGoFHrv9HMRFsy0WERFRMP3iz1/DanPg7ccud28zW+3ux6tW5GHhzMxQDI2IiAgAgwzkhz2HawEA/9xQDEEAzpuRAWvLGUwYFYe/33cRlAoZoiOUIR4lERHR8GY029CkMwMA6pqNSI7TAgC+K6oCAPzfz+Zi9uTUkI2PiIgIYE0G6kVVvR6V9XosnjcaEokE8dEqTB6T4N6fGKthgIGIiGgQ1DQa3Y+Pn22G3mTD14Xl2LK3HPHRKuTnpoRwdERERCJmMlCPdh8WC0ldd/EE5I6Oh0Ylh0zKwo5ERESD7c1NR9yPP//+DF796BDqmk0AgIJJKZDy7zMREYUBBhmoR7sP1WJ0ahRS4rVImTMq1MMhIiIasVzLFxNjNThwvN5rn0bFr3RERBQeuFyCurXvaB0OnW7EnClc30lERBQuJo+J77JtLv9WExFRmGDYm3zavPssnn/nAEalRGHZeWNDPRwiIqIRLy5KhTlTUvGDiydgUnY82ow2CIKAK84dw5aVREQUNhhkoC4q6trwwntFmDouAQ/+ZE6XXtxEREQ0+MxWOzQqOZLjtVi6gDcAiIgoPHG5BHlxOgU8v/4AlAoZfrsynwEGIiKiMOB0CjBbHVAreX+IiIjCG4MM5GV7USUOn27CrcvzEBetDvVwiIiICIDV5oAgABqVLNRDISIi6hGDDOTlu4NViI9W46KCrFAPhYiIiNqZLHYAgJpdJIiIKMwxyEBuNrsD+4/VYfZk9tomIiIKJ3qTDQAQwWWMREQU5hhkILfi0kaYLA62rCQiIgozOoMVABAVoQzxSIiIiHrGIAO57TlUA6VChunjk0I9FCIiIvLQZhSDDNFaBhmIiCi8MchAAMQvL98fqsGM8UlQKVhUioiIKJy0MZOBiIiGCFYPGuEEQcDm3Wfx6seHYTBZcftVU0M9JCIiIurElckQpWVNBiIiCm9+ZTLo9XosXboUFRUVXfYdOXIE11xzDRYvXoyHHnoIdrtY/biqqgo33ngjLrvsMtxxxx0wGAyBHTkNWF2TEX96fS/+uv4ARqVG4bnfXIC5eWmhHhYRERF1ojNYIZdJoGF3CSIiCnO9BhmKiopwww03oKyszOf+++67D3/4wx/w+eefQxAErF+/HgDwyCOPYOXKldi0aRPy8vLwwgsvBHTgI4XRbENN48ACNM1tZtgdTgCA0ylg39E6/PGVXVj1+Jf4vqQaP7liMh6/41yMSY8JxJCJiIgowNqMNkRplZBI2P2JiIjCW69BhvXr12P16tVITk7usq+yshJmsxkzZswAAFx99dXYtGkTbDYb9uzZg8WLF3ttJ/85HE68vLEEP3n0c6x6fDOe/k8hmnRm9/4T5c144O/b8fYXx9zb7A4nXni3CDuLqwCISyE+3n4Kt/zxSzzwt+04XdWK37+wHavX7cTxs8249uIJeOnBRbjmovFsWUlERBTG2oxW1mMgIqIhodecu7Vr13a7r66uDklJHZ0IkpKSUFtbi+bmZkRGRkIul3ttJ/99W1SFjdtKsXBmBpJiNdi47RR2ldRg+cKxKK9tw/fF1ZBKpTh0qhHZaVGYPzUdb3x6BJ/tLMOO4ipMH5+Etz4/ig+3ncKUsQk4cbYZdz/9DVRKGe66bgYuKsiEQs4Cj0REROHO4RRQWtGClPiIUA+FiIioVwNa2CcIQpdtEomk2+19VVJS0q9x9aSwsDDg7xkM//28DglRclyQC0glZqQvScJnha3435fHEaGWYl5uJM6dFIW3vmnAX97ci9HJKpyoMmNcqgqlNRb8/vmvcKrGgtnjI7CkQI3KnAR8f1SP8/OikahowMGihgGPcajMZbjjPAYO5zJwOJeBwXmkQKhvNqKu2YSlC8aGeihERES9GlCQISUlBQ0NHRer9fX1SE5ORnx8PPR6PRwOB2QymXt7X+Xl5UGlUg1kiF4KCwuRn58fsPcLluNnm1HZWIHbrpqK2QUdXyguuUBAbZMRSbEayGTiSpfcSUb84/2DaGgxYcH0ePxm5Sz8+c1C7CyuxrjMGPz+1vOgkMswG8CViwM3xqEyl+GO8xg4nMvA4VwGRrDm0WKxBCUIT+GrVW8BAGSlRIV4JERERL0bUJAhIyMDKpXK/UVqw4YNWLhwIRQKBQoKCvDpp59i2bJl7u3kn4+2n4JGJcdFBVle2yUSCVITvFMlk+O1WH3rPK9tP1k6GU6ngFuWTeGSCCIioiGupU0MMkSzJgMREQ0BfrWw7GzVqlUoLi4GAPzlL3/BE088gSVLlsBkMuHmm28GAKxevRrr16/H5Zdfjr179+LXv/51wAY9nOkMVmw/UIWLC7KgVfevF3Z6YiQevmUu0pMiAzw6IiIiGmyPvbobAIMMREQ0NPidybBlyxb343Xr1rkf5+bm4t133+1yfEZGBt54440BDm/k+bqwHHaHE4vnZ4d6KERERBRG4qLVoR4CERFRrwa0XIICSxAEfP59GSaOikN2WnSoh0NERERhQKOS4ZI5o6FScAkkERGFv34tl6DgOFLWhPJaPS6dNzrUQyEiIqIwYLLYYbI4EM8sBiIiGiIYZAgjW/aWQ62U4bwZGaEeChEREYWBZp0ZAJdKEBHR0MEgQ5iw2Z34rqgKc6ekQaPiKhYiIiICGtuDDPHRgWvpTUREFEwMMoSJ/cfroDfZcP4sZjEQERGRiJkMREQ01DDIECa27atElFaBGROSQz0UIiIiChNNOgsAIIFBBiIiGiKYlx9i3+yrwI6DVSg8UosLC7KgkDPuQ0RERKImnRkKuRQRGkWoh0JEROQXBhlC6MDxOjzzn0IkxWqQmx2PZQvGhnpIREREFEaadWbERashkUhCPRQiIiK/MMgQIo2tJvzlrUJkpUTh6bsXQs1ij0RERNRJk86M+CgWfSQioqGDufkh8sE3pTCYbHjg5tkMMBAREZFPzW1mxMewHgMREQ0dDDKEgN3hxDf7yjFnSiqyUqJCPRwiIiIKU02tZsRHMchARERDB2+hh0DhkVq06q24ePaoUA+FiIiIwpDRbMOOg1UwmO1sX0lEREMKgwwh8NXecsRGqTBrIttVEhERUVfrNx/He1+fBABkJkeGeDRERET+43KJQdBmtGLrvgpYbQ4UnajH7kM1uGBWJuQyTj8RERF11aK3uB9PzUkM4UiIiIj6hpkMAXayogVf7T6LFeePQ2pCBKoa9Hhk3feoajAgOV6LZp0ZGcmRuPai8aEeKhER0bCg1+tx/fXX48UXX0RmZqbXviNHjuDhhx+GXq9HQUEBHnnkEcjl4f31p67ZiK/2lGNsRgyeu+d8tq8kIqIhJbz/yg4hNrsTH28/hdc/PQy7Q8DmPWcxKTseh8uaoJTLcPvV0/DZjtOISYvG6lvnISaS7aiIiIgGqqioCA8//DDKysp87r/vvvvw2GOPYcaMGXjwwQexfv16rFy5cnAH2Udb9pYDAKblJDLAQEREQw6DDAN0pkaHXSU12PR9GeqbTZg7JRU3XpaL/3x+FJX1elxUkIWrzs9BWmIELj8nGwD4hYGIiChA1q9fj9WrV+P+++/vsq+yshJmsxkzZswAAFx99dX461//GvZBhsZWMwDgpiWTQjwSIiKivmOQYQC27C3Hs2/vAwBMGZuAu66dgZkTkyCRSPDQT+d2OZ7BBSIiosBau3Ztt/vq6uqQlJTkfp6UlITa2trBGNaAlNe2YeLoOCgVslAPhYiIqM8YZOin+mYT/vnBQUwZm4D7bypAPNtLERERhRVBELps60/Av6SkJBDD8VJYWOhzu90h4PiZJswaF9HtMcPJSPgZ/cF5EHEeRJwHzoHLUJ0HBhn6wWSx4/+3d/dRVdX5Hsc/IAcEwUwFVCItxbHyocZS0UbFBlHgRJqr0Wmirkbaba28LluFK51aZhlmQ+Nq/jDXym4TLs2H0cHr83L0JjiVTCWWlKlYiRxEVJ7hcM6+f3A9jQoCemjL2e/XX2fvfTjnuz/rxzk/vuyHd9b+S263of+afh8NBgAAbkKRkZEqLS31LJ89e1YREW2/ffTgwYMVFOS9aynl5eVp+PDhTW478NVpOV2nlTh+iM/f6vpaOVgJOTQih0bkQAaX3Ow51NXVNduE5x6KbXT6bKXm/3m/jhwv1ewpQ9WrRxezSwIAAE2IiopSUFCQ5z9Bmzdv1tixY02u6tqOHD+n4KBOGsZtKwEAHRRNhjZwNrj0+upPdbGyXotnj9ZvR9xudkkAAOAKaWlpys/PlyQtX75cS5cu1eTJk1VTU6PU1FSTq7u2glNliom+VZ06MUUDAHRMnC7RBmt3f6cfHZV6NW2UhsWEt/wDAADgF7F3717P41WrVnkeDxo0SBs2bDCjpDarrWvQyaJyTZsQY3YpAABcN9rkrXT8pwvasPeYHnogWsMHRZpdDgAA8DHHfrwgt9vQXf26m10KAADXjSZDKzS43Przui/ULTRQTz882OxyAACADyo4VSZJ+lXfW02uBACA60eToQVut6E1Owt0sqhc//noMIWGBJpdEgAA8EFHC8sUFR6qMOYaAIAOjGsyXMPRk2XKXPsvnSmt0vhf36aRg3ubXRIAAPBBPzoq9Pk3Dv32AS4qDQDo2GgyXMOanQWqrWvQi3+4X6OH0mAAAADtI+dwkSTpN/dGmVwJAAA3htMlmlFd69SRE6WKGx6t39wXxa2kAABAu6ipa9C+vB/Vr3dX/XpQhNnlAABwQziSoRn/+rZEDS5DI+7pZXYpAADAR33yxWkt++iQ/P2k1+aMNrscAABuWKv+PZ+dna3ExETFx8crKyvrqu379++X3W6X3W7X/PnzVVVVJUn6/PPPNXLkSKWkpCglJUULFizwbvXt6LOvixUWYtMgrvAMAADagWEYWvbRIUnSHVG3aOiAcJMrAgDgxrV4JIPD4VBmZqY2bdqkwMBATZ8+XSNHjtSAAQMkSeXl5UpPT9df//pXDRgwQKtWrVJmZqYWLlyo/Px8zZw5U7Nnz273HfEml9vQoaMlGj4oktMkAABAu8g/Xup5/B/J95hYCQAA3tPiX9C5ubkaNWqUunXrppCQECUkJGjHjh2e7YWFherTp4+n6RAXF6c9e/ZIkvLz85WTk6NHHnlEc+bM0ZkzZ9ppN7xry/7vVVFdz6kSAACg3Rw5fk7+ftLHbyRpWAxHMQAAfEOLTYaSkhKFh//8xRcRESGHw+FZ7tevn4qLi1VQUCBJ2r59u0pLGzvzYWFhSk1N1ebNmzVu3DjNmzfP2/V73d8/Oa7VW7/RmKF9NHoId5QAAADt41RxuXr37KLgIC6RBQDwHS1+qxmGcdU6Pz8/z+OuXbsqIyNDixYtktvt1mOPPSabzSZJWrx4sed5M2bM0Ntvv62KigqFhYW1qrgjR4606nltkZeX1+y2ihqX3v/7GQ2M6qwJd/vpyy+/8Pr7+5JrZYnWI0fvIUvvIUvvIEdcS9nFWvXsFmx2GQAAeFWLTYbIyEgdOnTIs1xSUqKIiJ9vr+RyudSrVy+tX79ekvT1118rOjpabrdbK1eu1DPPPKNOnTr9/IYBre/WDx48WEFBQa1+fkvy8vI0fPjwZrf/9/98I8OQXkh9UL17dvHa+/qilrJE65Cj95Cl95Cld7RXjnV1de3ShMcvr6y8Vvfc2cPsMgAA8KoWT5cYPXq0Dh48qLKyMtXU1GjXrl0aO3asZ7ufn59mzpwph8MhwzD0/vvvKzExUf7+/tq9e7d27twpSdq8ebOGDRum4OCbs2NfXevU9tyTih3ShwYDAABoVxcr61TKkQwAAB/UYpMhMjJS8+bNU2pqqh555BElJydr6NChSktLU35+vvz9/bV48WI9/fTTmjRpksLCwjRr1ixJUkZGhj788EMlJSVp48aNWrJkSbvv0PXanluoqtoGTRnf3+xSAACAjzt01CG329DooX3MLgUAAK9q1bkLdrtddrv9snWrVq3yPB4/frzGjx9/1c/FxMRo7dq1N1bhL+Ds+Rqt3f2t7r8rUr/q293scgAAgI8rPFOuwAB/3dG7q9mlAADgVS0eyWAF720+LLchzZk61OxSAACABRQWlev2XmHq1ImpGADAt1j+m+2bk+f0zyPFmjHxV4rsHmJ2OQAAwAIKi8vVl6MYAAA+yPJNhp3/PKXgoAAlj7nD7FIAAIAFVNW6dKGiTv1oMgAAfJClmwxVNU7lHC7S2Pui1Dmo9bfWBAAAuF6OC05JUt9eNBkAAL7H0k2G//3ytOrqXZo4sq/ZpQAAAIso+f8mA0cyAAB8kWWbDM4Gl7YeOKG+vcIUE93N7HIAAIBFOC461bVLoLqFBZldCgAAXmfZJsMHW7/RD8UV+sPku+Tn52d2OQAAwCJKLjjVr3dX5h8AAJ9kuSZDeVW9PtpxVH//5IQe/s2dGjW4t9klAQAAi3C7DZVcbODOEgAAn2Wpqx1W1rg05809qqh2KnZIbz2VfLfZJQEAAAtxlFXL2WBw0UcAgM+yVJPh29O1qqh26o1nx2jIgJ5mlwMAACzmZNFFSdIdfWgyAAB8k6VOlzhWVKPwW4M1uH8Ps0sBAAAW9O2p8+rkT5MBAOC7LNNkcDa4dKK4TvcPiuRCSwAAwBTFZVW6NTRAtoBOZpcCAEC7sEyT4ZsTZapvMHT/XZFmlwIAACzqfHmdQoNpMAAAfJdlmgyHChzq5C8N5VoMAADAJBcq6hTa2TLTLwCABVnmW67obJUG9OmszkGWutYlAAC4mfhJPbvazK4CAIB2Y5kmw/zHf62psd3NLgMAAFjY8ufH6sG7w8wuAwCAdmOZJkNIZ5uCbJbZXQAAcBPq2iVQAZ24ADUAwHfxVzcAAAAAAPAKmgwAAAAAAMAraDIAAAAAAACvoMkAAAAAAAC8giYDAAAAAADwCpoMAAAAAADAK2gyAACADi07O1uJiYmKj49XVlbWVdv3798vu90uu92u+fPnq6qqyoQqAQCwBpoMAACgw3I4HMrMzNSaNWu0ZcsWrVu3Tt9//71ne3l5udLT05WZmans7GwNGjRImZmZJlYMAIBvo8kAAAA6rNzcXI0aNUrdunVTSEiIEhIStGPHDs/2wsJC9enTRwMGDJAkxcXFac+ePWaVCwCAz6PJAAAAOqySkhKFh4d7liMiIuRwODzL/fr1U3FxsQoKCiRJ27dvV2lp6S9eJwAAVhFgdgEAAADXyzCMq9b5+fl5Hnft2lUZGRlatGiR3G63HnvsMdlstja9x5EjR264zivl5eV5/TU7InJoRA6NyKEROZDBJR01h5uyyXBpwlBfX+/1166rq/P6a1oVWXoHOXoPWXoPWXpHe+R46buxqT+urSgyMlKHDh3yLJeUlCgiIsKz7HK51KtXL61fv16S9PXXXys6OrpVr30p44EDByowMNBrNR85ckSDBw/22ut1VOTQiBwakUMjciCDS272HOrr6/Xdd9813ew3bsJZSkVFhb777juzywAA4KY1cOBAhYWFmV2G6RwOh2bMmKENGzYoODhY06dP12uvvaahQ4dKktxut8aPH6/169crIiJCL7zwgmJiYjRnzpwWX5v5CAAA19bUfOSmbDK43W5VVVXJZrNddsgjAABWZxiGnE6nunTpIn9/Lq0kNd7CcuXKlXI6nZo2bZrS0tKUlpam559/XkOGDNG+ffv09ttvq76+XrGxsXr55ZdbdcoE8xEAAJp2rfnITdlkAAAAAAAAHQ//AgEAAAAAAF5BkwEAAAAAAHgFTQYAAAAAAOAVNBkAAAAAAIBX0GQAAAAAAABeQZMBAAAAAAB4BU0GAAAAAADgFZZoMmRnZysxMVHx8fHKysoyu5wOJzU1VUlJSUpJSVFKSoq++uorMm2DyspKJScn66effpIk5ebmym63a+LEicrMzPQ87+jRo3r00UeVkJCgl19+WQ0NDWaVfNO6MssFCxZo4sSJnrG5e/duSc1njEbvvvuukpKSlJSUpGXLlkliXF6vprJkXKI5Vvvu5LPmchkZGUpPT5fU/P4WFRXp8ccf16RJk/Tss8+qqqrKzJK9au/evZo6daomTZqkJUuWSLLmeNiyZYvn9yIjI0OSdcbDjc6JfSWPK3NYt26dkpOTZbfbtWDBAtXX10vq4DkYPq64uNiIi4szzp8/b1RVVRl2u904duyY2WV1GG632xgzZozhdDo968i09b788ksjOTnZuOeee4wff/zRqKmpMcaNG2f88MMPhtPpNGbOnGns27fPMAzDSEpKMr744gvDMAxjwYIFRlZWlomV33yuzNIwDCM5OdlwOByXPe9aGcMwcnJyjN/97ndGXV2dUV9fb6SmphrZ2dmMy+vQVJa7du1iXKJJVvvu5LPmcrm5ucbIkSONl156yTCM5vf3mWeeMbZu3WoYhmG8++67xrJly0yp19t++OEH48EHHzTOnDlj1NfXGzNmzDD27dtnufFQXV1tPPDAA8a5c+cMp9NpTJs2zcjJybHEePDGnNgX8rgyhxMnThjx8fFGRUWF4Xa7jRdffNFYvXq1YRgdOwefP5IhNzdXo0aNUrdu3RQSEqKEhATt2LHD7LI6jBMnTsjPz09paWl6+OGH9dFHH5FpG3z88cd65ZVXFBERIUk6fPiw+vbtq+joaAUEBMhut2vHjh06ffq0amtrde+990qSpk6dSqZXuDLL6upqFRUVadGiRbLb7VqxYoXcbnezGaNReHi40tPTFRgYKJvNpv79+6uwsJBxeR2ayrKoqIhxiSZZ7buTz5qfXbhwQZmZmZozZ44kNbu/TqdTn3/+uRISEi5b7wt2796txMRE9erVSzabTZmZmQoODrbceHC5XHK73aqpqVFDQ4MaGhoUEBBgifFwo3NiX8njyhwCAwP16quvKjQ0VH5+fho4cKCKioo6fA4BZhfQ3kpKShQeHu5ZjoiI0OHDh02sqGMpLy9XbGysXn31VdXW1io1NVWTJ08m01Z6/fXXL1tuajw6HI6r1oeHh8vhcPxidXYEV2Z57tw5jRo1SosXL1ZISIhmz56tDRs2KCQkpMmM0SgmJsbzuLCwUNu2bdMTTzzBuLwOTWW5Zs0affbZZ4xLXMVq8xE+a372xz/+UfPmzdOZM2ckXT0WLu3v+fPnFRoaqoCAgMvW+4JTp07JZrNp1qxZOnv2rOLi4hQTE2O58RAaGqq5c+dq8uTJ6ty5s0aMGCGbzWaJ8XCjc2JfyePKHKKiohQVFSVJKisrU1ZWlpYuXdrhc/D5IxkMw7hqnZ+fnwmVdEz33Xefli1bppCQEHXv3l3Tpk3TihUrrnoembZOc+ORcdp20dHR+stf/qIePXooODhYTzzxhPbv30+WrXTs2DHNnDlTL730km6//fartjMuW+/fs7zzzjsZl2iSVceA1T9r1q9fr969eys2NtazzopzAZfLpYMHD+qtt97Sxx9/rPz8fM/56P/O13MoKCjQxo0b9Y9//EMHDhyQv7+/cnJyrnqer+cgtf33wNfzcDgcevLJJ/Xoo49q5MiRHT4Hn28yREZGqrS01LNcUlLiOTwFLTt06JAOHjzoWTYMQ1FRUWR6nZobj1euP3v2LJm24Ntvv9XOnTs9y4ZhKCAggN/5VsjLy9NTTz2l+fPna8qUKYzLG3BlloxLNMeKY4DPGmnbtm3KyclRSkqKVqxYob1792r9+vVN7m/37t1VWVkpl8t12Xpf0LNnT8XGxqp79+7q3LmzHnroIeXk5FhuPBw4cECxsbHq0aOHAgMDNXXqVH366aeWGw9S2+fEvpzH8ePHNWPGDE2ZMkXPPfecpKvz6Wg5+HyTYfTo0Tp48KDKyspUU1OjXbt2aezYsWaX1WFUVFRo2bJlqqurU2Vlpf72t7/prbfeItPrNGzYMJ08eVKnTp2Sy+XS1q1bNXbsWEVFRSkoKEh5eXmSpM2bN5NpCwzD0BtvvKGLFy/K6XRq3bp1io+PbzZjNDpz5oyee+45LV++XElJSZIYl9erqSwZl2iO1eYjfNY0Wr16tbZu3aotW7bo+eef14QJE7R06dIm99dms+n+++/Xtm3bLlvvC+Li4nTgwAGVl5fL5XLpk08+0aRJkyw3HgYNGqTc3FxVV1fLMAzt3btXI0aMsNx4kNr+eeCreVRWVmrWrFmaO3euZs6c6Vnf0XPwM5o65sLHZGdna+XKlXI6nZo2bZrS0tLMLqlDeeedd7Rz50653W79/ve/15NPPkmmbTRhwgR9+OGHuu2223Tw4EEtXbpUdXV1GjdunBYsWCA/Pz8VFBRo4cKFqqqq0t13362lS5cqMDDQ7NJvOv+eZVZWlrKystTQ0KCJEyfqhRdekKRmM4a0ZMkSbdy48bLDlqdPn65+/foxLtuouSzdbjfjEk2y0ncnnzVX27Rpkz777DO9+eabze7v6dOnlZ6ernPnzql3797605/+pFtuucXs0r1iw4YN+uCDD+R0OjVmzBgtXLhQn376qeXGw3vvvadNmzbJZrNpyJAheuWVV3Ty5EnLjIcbmRP7Uh6XctizZ4+WL1+u/v37X7Zt7ty5HToHSzQZAAAAAABA+/P50yUAAAAAAMAvgyYDAAAAAADwCpoMAAAAAADAK2gyAAAAAAAAr6DJAAAAAAAAvIImAwAAAAAA8AqaDAAAAAAAwCtoMgAAAAAAAK/4P0q1Y9VSevBdAAAAAElFTkSuQmCC\n", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "fig, (ax1, ax2) = plt.subplots(1,2,figsize=(18,6))\n", "\n", "\n", "ax1.plot(np.arange(days).reshape(-1,1), skfore1.variance.T.values)\n", "ax2.plot(np.arange(days*5).reshape(-1,1), skfore2.variance.T.values)\n", "\n", "plt.show()" ] }, { "cell_type": "code", "execution_count": 49, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from phat.utils import PriceSim\n", "\n", "simmer = PriceSim(p0=1, rets=1 + skfore1.simulations.values[0]/100)\n", "r, S_skew, (ax, bins)= simmer.sims(show_chart=True)" ] }, { "cell_type": "code", "execution_count": 50, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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T-GARCHPHAT-ARGARCH
0.000010.0995310.048463
0.000100.1342220.121818
0.001000.3888000.248225
0.010000.7059460.564735
0.100000.9433680.859879
0.900001.3892281.254197
0.990001.7848111.497912
0.999002.5529431.956817
0.999904.1062112.203955
0.999996.7157642.408279
\n", "
" ], "text/plain": [ " T-GARCH PHAT-ARGARCH\n", "0.00001 0.099531 0.048463\n", "0.00010 0.134222 0.121818\n", "0.00100 0.388800 0.248225\n", "0.01000 0.705946 0.564735\n", "0.10000 0.943368 0.859879\n", "0.90000 1.389228 1.254197\n", "0.99000 1.784811 1.497912\n", "0.99900 2.552943 1.956817\n", "0.99990 4.106211 2.203955\n", "0.99999 6.715764 2.408279" ] }, "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], "source": [ "l_crit = 1/np.logspace(1,5,5)\n", "r_crit = 1 - l_crit\n", "qs = np.concatenate((l_crit[::-1], r_crit))\n", "logqs = scist.lognorm(*logps).ppf(qs)\n", "\n", "Sk_actual = np.quantile(S_skew[:,-1], qs)\n", "pd.DataFrame(list(zip(Sk_actual, arres_actual)), index=qs, columns=['T-GARCH', 'PHAT-ARGARCH'])" ] }, { "cell_type": "code", "execution_count": 51, "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "simmer = PriceSim(p0=1, rets=1 + skfore2.simulations.values[0]/100)\n", "r, S_skew5, (ax, bins)= simmer.sims(show_chart=True)" ] }, { "cell_type": "code", "execution_count": 52, "metadata": {}, "outputs": [ { "data": { "text/html": [ "
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T-GARCHPHAT-ARGARCH
0.000010.0011501.064057e-08
0.000100.0012931.015339e-07
0.001000.1107232.259743e-03
0.010000.5630822.107520e-01
0.100001.2190877.466369e-01
0.900003.2413161.986490e+00
0.990005.3111742.842280e+00
0.9990011.5372884.548018e+00
0.9999018.6933705.699216e+00
0.9999920.8316486.904041e+00
\n", "
" ], "text/plain": [ " T-GARCH PHAT-ARGARCH\n", "0.00001 0.001150 1.064057e-08\n", "0.00010 0.001293 1.015339e-07\n", "0.00100 0.110723 2.259743e-03\n", "0.01000 0.563082 2.107520e-01\n", "0.10000 1.219087 7.466369e-01\n", "0.90000 3.241316 1.986490e+00\n", "0.99000 5.311174 2.842280e+00\n", "0.99900 11.537288 4.548018e+00\n", "0.99990 18.693370 5.699216e+00\n", "0.99999 20.831648 6.904041e+00" ] }, "execution_count": 52, "metadata": {}, "output_type": "execute_result" } ], "source": [ "l_crit = 1/np.logspace(1,5,5)\n", "r_crit = 1 - l_crit\n", "qs = np.concatenate((l_crit[::-1], r_crit))\n", "\n", "Ssk5_actual = np.quantile(S_skew5[:,-1], qs)\n", "pd.DataFrame(list(zip(Ssk5_actual, S5_actual)), index=qs, columns=['T-GARCH', 'PHAT-ARGARCH'])" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "We can see above that both the T and Skew-T distributions tend to create time-series with fatter right-tails than the Phat distribution, although the Phat is more dramatic in the left. This results due to the large left-tail index found when fitting the Phat distribution." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "## CAVEATS ##\n", "\n", "While GARCH models have been shown to outperform constant volatility models, [stochastic volatility](https://joshuachan.org/papers/energy_GARCH_SV.pdf) has become more popular recently and will be explored at a future date.\n" ] } ], "metadata": { "celltoolbar": "Edit 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": "3.9.0" } }, "nbformat": 4, "nbformat_minor": 4 }