{ "nbformat": 4, "nbformat_minor": 5, "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "name": "python", "version": "3.8.0" } }, "cells": [ { "cell_type": "markdown", "id": "a1b2c3d4", "metadata": {}, "source": "# ARIMA Model — System Identification Walkthrough\n\nThis notebook demonstrates the four-step system identification process for a **non-stationary** univariate time series using the **ARIMA** model class.\n\n| Step | Task | Tool |\n|------|------|------|\n| 1 | Choose a model class | Raw ACF; differencing to achieve stationarity |\n| 2 | Select model order | `uniAnal` on $\\nabla y$ — ACF, PACF, GPAC |\n| 3 | Estimate parameters | `estimate`, `pmoddisp` |\n| 4 | Validate the model | `partoacf_pmod`, `uniAnal` on residuals, `uniChi` |\n\n**Dataset:** Box-Jenkins Series C — Chemical Temperature (226 observations)" }, { "cell_type": "markdown", "id": "b2c3d4e5", "metadata": {}, "source": "The ARIMA($n_d$, $d$, $n_c$) model is\n\n$$D(q)\\,\\nabla^d y(t) = C(q)\\,e(t)$$\n\nwhere $\\nabla = 1 - q^{-1}$ is the backward difference operator, so $\\nabla y(t) = y(t) - y(t-1)$ and $\\nabla^d$ denotes $d$ successive applications, and\n\n$$D(q) = 1 + d_1 q^{-1} + \\cdots + d_{n_d} q^{-n_d}, \\qquad C(q) = 1 + c_1 q^{-1} + \\cdots + c_{n_c} q^{-n_c}$$\n\nDifferencing $d$ times converts a non-stationary (integrated) series into a stationary one, after which a standard ARMA($n_d$, $n_c$) model is fitted to $\\nabla^d y(t)$. The noise transfer function is $H(q) = C(q)/D(q)$." }, { "cell_type": "code", "id": "c3d4e5f6", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T23:49:28.379668Z", "start_time": "2026-06-09T23:49:28.053326Z" } }, "source": "import numpy as np\nimport matplotlib.pyplot as plt\nimport sys\nimport os\nimport pandas as pd\n\n# Add TimeSeries root directory to path\ncurrent_dir = os.getcwd()\ntimeseries_root = os.path.abspath(os.path.join(current_dir, '..', '..', '..'))\nif timeseries_root not in sys.path:\n sys.path.insert(0, timeseries_root)\n\nfrom TimeSeriesSRC.Model.model import pmodel\nfrom TimeSeriesSRC.Model.estimate import estimate\nfrom TimeSeriesSRC.Model.selpmod import func_selpmod as selpmod\nfrom TimeSeriesSRC.basefunctions.uniAnal import func_uniAnal as uniAnal\nfrom TimeSeriesSRC.basefunctions.uniChi import func_uniChi as uniChi\nfrom TimeSeriesSRC.basefunctions.partoacf import func_partoacf_pmod as partoacf_pmod\nfrom TimeSeriesSRC.Model.pmodmse import func_pmodmse as pmodmse\nfrom TimeSeriesSRC.Model.pmoddisp import func_pmoddisp as pmoddisp\nfrom TimeSeriesSRC.Model.pmoddisp import func_pmodpzplot as pmodpzplot\n\nnp.random.seed(42)\nprint('Setup complete.')", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Setup complete.\n" ] } ], "execution_count": 1 }, { "cell_type": "markdown", "id": "d4e5f6a7", "metadata": {}, "source": "## Series C — Chemical Temperature\n\nBox-Jenkins Series C is a univariate time series of 226 temperature measurements from a chemical process. There is no observed external input. The raw series exhibits a gradual drift, suggesting non-stationarity that will require first differencing ($d = 1$) before an ARMA model can be fitted. The series mean is removed for numerical centering." }, { "cell_type": "code", "id": "e5f6a7b8", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T23:49:31.934003Z", "start_time": "2026-06-09T23:49:31.841601Z" } }, "source": [ "data_path = os.path.join(timeseries_root, 'TimeSeriesSRC', 'TestData', 'Series_C_Chemical_Temperature.csv')\n", "df = pd.read_csv(data_path)\n", "y = np.array(df['Temperature'])\n", "y = y - np.mean(y)\n", "N = y.size\n", "print(f'Loaded chemical temperature data: N={N} samples')\n", "print(f'y: mean={y.mean():.2e}, std={y.std():.3f}')\n", "\n", "fig, ax = plt.subplots(1, 1, figsize=(12, 5))\n", "ax.plot(y)\n", "ax.set_title('Process sequence y(t) — Temperature (mean removed)')\n", "ax.set_xlabel('Sample')\n", "ax.set_ylabel('Temperature')\n", "plt.tight_layout()\n", "plt.show()" ], "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loaded chemical temperature data: N=226 samples\n", "y: mean=-1.19e-15, std=2.055\n" ] }, { "data": { "text/plain": [ "
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}, "metadata": {}, "output_type": "display_data" } ], "execution_count": 2 }, { "cell_type": "markdown", "id": "f6a7b8c9", "metadata": {}, "source": "## Step 1 — Choose a Model Class\n\nWith no external input, the general prediction model $y(t) = G(q)u(t) + H(q)e(t)$ reduces to a pure noise model. Before choosing ARMA or ARIMA, we must determine whether the series is **stationary**.\n\nA stationary series has a constant mean and variance; its ACF decays quickly to zero. A non-stationary (integrated) series has a slowly decaying or non-decaying ACF. We apply `uniAnal` to the raw (mean-removed) series to check." }, { "cell_type": "code", "id": "a7b8c9d0", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:48:20.254144Z", "start_time": "2026-06-09T18:48:20.111600Z" } }, "source": "acf_raw, pacf_raw, gpac_raw = uniAnal(y, na=20, nump=10, nrg=6, ncg=6)", "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": 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" 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 3 }, { "cell_type": "markdown", "id": "b8c9d0e1", "metadata": {}, "source": "### Stationarity Check\n\nA slowly decaying ACF — where values remain large across many lags — is the hallmark of a non-stationary series. First differencing ($d = 1$) transforms $y(t)$ to\n\n$$\\nabla y(t) = y(t) - y(t-1)$$\n\nwhich removes a stochastic linear trend (random-walk behaviour) and should yield a stationary series whose ACF decays quickly. We compute and plot $\\nabla y$ to verify." }, { "cell_type": "code", "id": "c9d0e1f2", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:48:25.420623Z", "start_time": "2026-06-09T18:48:25.320762Z" } }, "source": "dy = np.diff(y) # nabla y(t) = y(t) - y(t-1)\nNd = dy.size\nprint(f'Differenced series: N={Nd} samples')\nprint(f'\\u2207y: mean={dy.mean():.2e}, std={dy.std():.3f}')\n\nfig, axes = plt.subplots(2, 1, figsize=(12, 7))\naxes[0].plot(y)\naxes[0].set_title('Original series y(t) — Temperature (mean removed)')\naxes[0].set_xlabel('Sample')\naxes[0].set_ylabel('Temperature')\n\naxes[1].plot(dy)\naxes[1].set_title('First-differenced series \\u2207y(t)')\naxes[1].set_xlabel('Sample')\naxes[1].set_ylabel('\\u2207y')\nplt.tight_layout()\nplt.show()", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Differenced series: N=225 samples\n", "∇y: mean=-3.47e-02, std=0.231\n" ] }, { "data": { "text/plain": [ "
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}, "metadata": {}, "output_type": "display_data" } ], "execution_count": 4 }, { "cell_type": "markdown", "id": "d0e1f2a3", "metadata": {}, "source": "## Step 2 — Select Model Order\n\nWe apply `uniAnal` to the differenced series $\\nabla y(t)$ to identify the ARMA orders $n_d$ and $n_c$. Together with $d = 1$, these specify the ARIMA($n_d$, 1, $n_c$) model.\n\n- **ACF** of $\\nabla y$ — should now decay quickly, confirming that differencing achieved stationarity.\n- **PACF** — cuts off sharply after lag $n_d$ for a pure AR component.\n- **GPAC** — a column of approximately constant (near-zero) entries identifies $n_d$; the row where the constant pattern begins identifies $n_c$." }, { "cell_type": "code", "id": "e1f2a3b4", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:48:29.903089Z", "start_time": "2026-06-09T18:48:29.753558Z" } }, "source": "acf_dy, pacf_dy, gpac_dy = uniAnal(dy, na=20, nump=10, nrg=6, ncg=6)", "outputs": [ { "data": { "text/plain": [ "
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" 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 5 }, { "cell_type": "markdown", "id": "f2a3b4c5", "metadata": {}, "source": [ "### GPAC Interpretation\n", "\n", "In the GPAC table for $\\nabla y$:\n", "\n", "- The **column index** of the first approximately constant column is the candidate AR order $n_d=1$.\n", "- The **row where the constant pattern begins** is the candidate MA order $n_c=0$. Also, after the first column, the remainder of row 0 is close to zero.\n", "\n", "Use these to form the ARIMA(1, 1, 0) model estimated in Step 3." ] }, { "cell_type": "markdown", "id": "a3b4c5d6", "metadata": {}, "source": "## Step 3 — Estimate Parameters\n\nThe ARIMA model is built with `pmodel` using `diff=[1]`. The `estimate` function receives the **original** (undifferenced) series $y$ — it pre-differences internally before running the Levenberg-Marquardt optimizer, so the parameters are estimated by minimising the mean-squared prediction error on $\\nabla y$.\n\nFor **validation** (residuals, ACF comparison, chi-square test), `predict` and `uniChi` must receive the **differenced** series $\\nabla y$ (`dy`), because the fitted ARMA model operates on $\\nabla y$.\n\n`pmoddisp` prints the estimated parameters with ±2σ confidence intervals. `pmodpzplot` shows the pole-zero map of the noise transfer function $H(q) = C(q)/D(q)$, confirming that the ARMA part (acting on $\\nabla y$) is stable and invertible." }, { "cell_type": "code", "id": "b4c5d6e7", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:48:34.372859Z", "start_time": "2026-06-09T18:48:34.094662Z" } }, "source": [ "pmod = pmodel('arma', nc=[0], nd=[1], diff=[1], per=[])\n", "pmod, trec, stat = estimate(pmod, y)" ], "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Epoch 0/100 Time 0.011419057846069336 PMODMSE 0.051687648347063485/0 Gradient 9.537347362697533/0.0001 mu 0.001/10000000000.0\n" ] }, { "data": { "text/plain": [ "
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" }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "6.40679726109569e-09 0.0001\n", "Epoch 2/100 Time 0.17670893669128418 PMODMSE 0.01855067395264119/0 Gradient 6.40679726109569e-09/0.0001 mu 1e-05/10000000000.0\n" ] }, { "data": { "text/plain": [ "
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" }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "ESTIMLM, Minimum gradient reached, performance goal was not met.\n", "\n", "\n" ] } ], "execution_count": 6 }, { "cell_type": "code", "id": "c5d6e7f8", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:48:38.948499Z", "start_time": "2026-06-09T18:48:38.854739Z" } }, "source": "pmoddisp(pmod, stat)\npmodpzplot(pmod)\nplt.show()", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Parameter estimates — ARMA model\n", "--------------------------------\n", " Param Value ±2σ 95% CI\n", " ----------------------------------------\n", " d1 -0.8131 0.0780 ( -0.8911, -0.7351)\n", "\n", " Residual std σ = 0.136201\n", " Residual var σ² = 0.018551\n" ] }, { "data": { "text/plain": [ "
" ], "image/png": 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cv34dTz75JID/XclAbciQIUhPT8f27duxaNEimM1mDB061OHQqzAYDBg1ahQ++eQTLFy4EC1btkTPnj0rXT8xMRFeXl7o27evNVO7du0QGRmJZcuWoby8vEqPz1G/fXx84OXlZbdc3fkrV644/NlWfgm6cuWK9b/KL/1qv+5ETZ5biOqKh9YBiGpTdHQ0unTp4vC2zz77DEajEatXr7Z54q/sigaOrl+akpKCgoICJCcnIyIiwrq8ti99dccdd8Dd3R3x8fF44YUXHK5z55133nQfDRs2BAD8/e9/x+OPP+5wnVatWtl8XtVrtjZs2BDe3t4OBwP1fQPA4MGDMXjwYBQXF2PHjh2YOXMm4uLiEBkZie7du1fp/mpLTk4OVq9ejWnTpmHy5MnW5cXFxdbh81aUxzZv3rxKr6igDAMNGzbEnDlzMGfOHGRmZmLVqlWYPHkyLl686PDkvrq0dOlSjBkzBiNHjsTChQvtvtfKSWGOBtZz584hKCio2vc5cOBApKen1yivukNVtWTJEogIvvzyS3z55Zd2t3/00Ud444034O7ubl0WHBxsfc7o3r07oqOjERMTgwkTJlhPIHQkISEBU6dOxcKFC/Hmm29Wut7x48fxww8/AEClVzRYv3699RfUuhAUFITs7Gy75VlZWQD+97UOCgrCrl277Nb79S9eNXluIaorHGTJZShvlKD+R6ywsBAff/xxtfYBAJ6entZlIoL//Oc/tRcUgI+PDx588EFkZGSgXbt2N33VTcny61cTW7Vqhbvvvhv79+/HP//5z1rNN2DAAPzzn/9EUFDQLQdqdc6YmBg0aNAA69evR0ZGBrp3715p/rpgMBggIjbfP6Diz+2/flWsslw9evRAgwYNcPjwYYwbN67K992sWTOMGzcO3333Hf773/9WO/tvuaD8smXLMGbMGAwfPhyLFy92+AtL9+7dYTabkZSUhCFDhliXZ2ZmIjU1FU8//XS17zcoKKhGA3BNlJeX46OPPkLz5s2xePFiu9tXr16Nd999F99++63dn+jVevbsiREjRuCjjz5CWlpapb9shYWFYeLEiTh69ChGjhxZ6f6UKyj85z//QYsWLWxuKywsxODBg7FkyZI6HWQffvhhzJw5E3v37kWnTp2sy5OSkmAwGPDggw8CqLhCxxdffIFVq1bZHF7w62vq1uVzC1F1cZAll9G/f3+89957iIuLw7PPPosrV67gnXfesRtqbub3v/89TCYTnnnmGUyaNAlFRUVYsGABrl27Vut5586diwceeAA9e/bE888/j8jISOTl5eHkyZP45ptvrMe1NW/eHN7e3vj0008RHR0NPz8/NGnSBE2aNMGiRYvwyCOPIDY2FgkJCQgLC8PVq1dx5MgR7N27FytWrKhRtvHjx2PlypXo1asXJkyYgHbt2sFisSAzMxMbNmzASy+9hPvuuw9Tp07FuXPn8PDDDyM8PBzXr1/H3LlzYTQaERMTc8v8tc3f3x+9evXCrFmz0LBhQ0RGRmLr1q1ITExEgwYNbNZV3hHqww8/hNlshpeXF+68804EBQVh3rx5GDlyJK5evYonn3wSjRo1wqVLl7B//35cunQJCxYsQE5ODh588EHExcUhKioKZrMZ6enpWLduXaWvYilyc3Nx+PDhKj2mjh073rTDK1aswB/+8Ad06NABzz33nN0rbsr2fn5+eOONN/CXv/wFw4cPx7Bhw3DlyhVMnz4d3t7emDp1apXyaOXbb79FVlYW3n77bYeXCWvTpg3+/e9/IzEx8aaDLAC8/vrr+PzzzzFlypSbHhv81ltv3XQ/ZWVlSEpKQnR0NMaMGeNwHeW6vpcuXUJwcPBN91dTEyZMQFJSEvr374/XXnsNERERWLNmDebPn4/nn3/eei7AiBEjMHv2bIwYMQJvvvkm7r77bqxduxbr16+322ddPbcQVZtmp5kR1aLKLr/1a0uWLJFWrVqJp6en3HXXXTJz5kxJTEy0O/s7IiJC+vfv73Af33zzjbRv3168vLwkLCxMJk6cKN9++63dmbkxMTFyzz332G1f2b7h4FJAp0+fltGjR0tYWJgYjUYJDg6W+++/X9544w2b9ZYvXy5RUVFiNBoFgEybNs162/79+2XIkCHSqFEjMRqNEhoaKg899JD1rG6Rqn/91PLz8+XVV1+VVq1aiclksl4qbMKECdarRKxevVoeeeQRCQsLE5PJJI0aNZJ+/frJtm3bqpS/sqsWVOfrB0BmzZplXXbu3Dl54okn5I477hCz2Sx9+/aVgwcPSkREhIwcOdJm+zlz5sidd94p7u7udmdtb926Vfr37y+BgYFiNBolLCxM+vfvLytWrBARkaKiIvnjH/8o7dq1E39/f/H29pZWrVrJtGnTbK6s4EhtXrVg5MiR1do+KSlJ2rdvb/2eDh48WA4dOnTT+9CDRx99VEwmk/USaY4MHTpUPDw8rP101BnFxIkTBYBs3bpVRKr+M6K+aoFy1Yw5c+ZUuv66descXpFATfk5UC4Ppxg5cqT4+vrare/ouefnn3+WuLg4CQoKEqPRKK1atZJZs2ZZry6gUH4+/Pz8xGw2yxNPPCHbt293eGWRqjy38KoFVNcMIhq/dQ8RERERUQ3wqgVERERE5JQ4yBIRERGRU+IgS0REREROiYMsERERETklDrJERERE5JQ4yBIRERGRU9LdGyJYLBZkZWXBbDZX+e0yiYiIiOj2ICLIy8tDkyZN4OZ289dcdTfIZmVloWnTplrHICIiIiINnT17FuHh4TddR3eDrNlsBlAR3t/fX+M0t6+6fDtEci7sAqmxD6RgFwgASkpK8OGHH+LZZ5+FyWSql/vMzc1F06ZNrTPhzejunb1yc3MREBCAnJwcDrJ1SER46AYBYBfIFvtACnaBFPXdherMgjzZy0Xt2bNH6wikE+wCqbEPpGAXCADy8/PRvHlz5Ofnax3FIb4iS0REREQOaTGX8RVZuqULFy5oHYF0gl0gNfaBFOwCOQMOsi6qpKRE6wikE+wCqbEPpGAXyBlwkHVRzZo10zoC6QS7QGrsAynYBQIAHx8frFu3Dj4+PlpHcYiDrIvav3+/1hFIJ9gFUmMfSMEuEAB4eHggNDQUHh66u2IrAA6yLisqKkrrCKQT7AKpsQ+kYBcIqDjxqmfPnsjNzdU6ikMcZF1UUVGR1hFIJ9gFUmMfSMEukCIvL0/rCJXiIOuifvnlF60jkE6wC6TGPpCCXSBnwEHWRbVs2VLrCKQT7AKpsQ+kYBfIGXCQdVHHjh3TOgLpBLtAauwDKdgFAgBfX19888038PX11TqKQxxkXVRoaKjWEUgn2AVSYx9IwS4QALi5uaF9+/Zwc9PnyKjPVFTnvLy8tI5AOsEukBr7QAp2gYCKE72aNWum2xO+OMi6KP7JiBTsAqmxD6RgF8gZGEREtA6hlpubi4CAAOTk5MDf31/rOEREREQuS4u5rDr3yVdkXVRmZqbWEUgn2AVSYx9IwS6QM+Ag66I8PT21jkA6wS6QGvtACnaBAMBsNuPEiRMwm81aR3GIg6yLCgkJ0ToC6QS7QGrsAynYBQIAi8WC4uJiWCwWraM4xEHWRaWnp2sdgXSCXSA19oEU7AIBQEFBAdq0aYOCggKtozjEk72IiIiIyCGe7EW6dPHiRa0jkE6wC6TGPpCCXSBnwEHWRd24cUPrCKQT7AKpsQ+kYBdI4efnp3WESvHQAiIiIiLSDR5aQLf0448/ah2BdIJdIDX2gRTsAgFAWVkZFi5ciLKyMq2jOMRXZF1UYWEhvL29tY5BOsAukBr7QAp2gQCe7EU6VVpaqnUE0gl2gdTYB1KwC+QMOMi6qKysLK0jkE6wC6TGPpCCXSBnwEHWRUVFRWkdgXSCXSA19oEU7AIBgJubG1q3bg03N32OjPpMRXXuxIkTWkcgnWAXSI19IAW7QEDFpbdSUlJ0ewkuDrIuqmHDhlpHIJ1gF0iNfSAFu0AAUFJSgrVr16KkpETrKA5xkHVRev3Niuofu0Bq7AMp2AUCgKKiIowfPx5FRUVaR3GIg6yLOnTokNYRSCfYBVJjH0jBLpAz4HVkiYiIiMghXkeWdOncuXNaRyCdYBdIjX0gBbtAAODu7o5evXrB3d1d6ygOcZB1UXotJNU/doHU2AdSsAsEAL6+vvjss8/g6+urdRSHOMi6qMaNG2sdgXSCXSA19oEU7AIBQHFxMRYtWoTi4mKtozjEQdZF7dmzR+sIpBPsAqmxD6RgFwioGGRnzJih20GWJ3u5KIvFott36aD6xS6QGvtACnaBAJ7sRTp19epVrSOQTrALpMY+kIJdIGfAQdZF5ebmah2BdIJdIDX2gRTsAgGA0WjEkCFDYDQatY7iEA8tICIiIiLd4KEFdEt8xxZSsAukxj6Qgl0gACgsLMQTTzyBwsJCraM4xEHWRUVGRmodgXSCXSA19oEU7AIBQGlpKZKTk1FaWqp1FIc4yLoonR1RQhpiF0iNfSAFu0DOgIOsi8rMzNQ6AukEu0Bq7AMp2AVyBhxkXVTr1q21jkA6wS6QGvtACnaBAMDT0xPTpk2Dp6en1lEc4iDron766SetI5BOsAukxj6Qgl0goGKQjY+P5yBL+tKgQQOtI5BOsAukxj6Qgl0gACgoKMDYsWNRUFCgdRSHOMi6qICAAK0jkE6wC6TGPpCCXSAAKC8vR2pqKsrLy7WO4hAHWRd14MABrSOQTrALpMY+kIJdIGfAd/YiIiIiIoe0mMv4zl50S1lZWVpHIJ1gF0iNfSAFu0AA4OXlhVmzZsHLy0vrKA5xkHVROnshnjTELpAa+0AKdoEAwGQy4ZlnnoHJZNI6ikMcZF1UWFiY1hFIJ9gFUmMfSMEuEADk5+ejT58+yM/P1zqKQxxkXVRGRobWEUgn2AVSYx9IwS4QAFgsFhw+fBgWi0XrKA5xkHVRbdq00ToC6QS7QGrsAynYBXIGHGRdVF5entYRSCfYBVJjH0jBLpAz4CDroq5du6Z1BNIJdoHU2AdSsAsEAD4+PliyZAl8fHy0juIQryNLRERERLrB68jSLR05ckTrCKQT7AKpsQ+kYBcIqBgq/fz8kJubq3UUhzjIuqjw8HCtI5BOsAukxj6Qgl0gRUFBgdYRKsVB1kW5u7trHYF0gl0gNfaBFOwCOQMOsi7q9OnTWkcgnWAXSI19IAW7QM6AJ3sRERERkUPl5eU4evQooqKi6u1Vep7sRbfE37RJwS6QGvtACnaBAMDNzQ3l5eVwc9PnyKjPVFTn/Pz8tI5AOsEukBr7QAp2gYCKN8Zo3769bt8gg4OsiwoKCtI6AukEu0Bq7AMp2AVyBhxkXdTevXu1jkA6wS6QGvtACnaBnAFP9iIiIiIih7SYy3iyF91Sdna21hFIJ9gFUmMfSMEuEACYzWYcO3YMZrNZ6ygOcZB1UWVlZVpHIJ1gF0iNfSAFu0AAYLFYkJmZCYvFonUUh3hoARERERE5xEMLSJf279+vdQTSCXaB1NgHUrAL5Aw4yLqo6OhorSOQTrALpMY+kIJdIGfAQdZF3bhxQ+sIpBPsAqmxD6RgF0ih1xO9AA6yLuvSpUtaRyCdYBdIjX0gBbtAAODv7489e/bo9rwlDrIu6u6779Y6AukEu0Bq7AMp2AUCKq5ecerUKd1exYKDrIs6duyY1hFIJ9gFUmMfSMEuEFBxiEnfvn11e6gJB1kX1bhxY60jkE6wC6TGPpCCXSBnwEHWRZlMJq0jkE6wC6TGPpCCXSBnwEHWRZ04cULrCKQT7AKpsQ+kYBcIANzc3NC8eXO4uelzZOQ7exERERGRbvCdveiWfv75Z60jkE6wC6TGPpCCXSAAKCkpwdtvv42SkhKtozjEQdZFeXl5aR2BdIJdIDX2gRTsAgFAUVERJk+ejKKiIq2jOMRB1kWFhIRoHYF0gl0gNfaBFOwCOQMOsi4qPT1d6wikE+wCqbEPpGAXyBlwkHVRXbt21ToC6QS7QGrsAynYBQIAd3d39OnTB+7u7lpHcYiDrIv65ZdftI5AOsEukBr7QAp2gQDA19cXSUlJ8PX11TqKQxxkXZReD9qm+scukBr7QAp2gQCguLgYM2fORHFxsdZRHOJ1ZImIiIjIIS3mMl5Hlm7pxx9/1DoC6QS7QGrsAynYBXIGHGRd1N133611BNIJdoHU2AdSsAvkDDjIuii9vkMH1T92gdTYB1KwCwQARqMR8fHxMBqNWkdxiIOsi8rOztY6AukEu0Bq7AMp2AUCAG9vb7zyyivw9vbWOopDHGRdVKtWrbSOQDrBLpAa+0AKdoEAoLCwELNmzUJhYaHWURyqlUG2d+/eGD9+fG3sShNFJWWIfX0NYl9fg6KSMq3j1IsTJ05oHeGWXPH7ogVn6ALVH/aBFOwCAUBpaSkSExNRWlqqdRSHav0V2eTkZMTGxqJhw4YwGAzYt29fbd8F1YLg4GCtI5BOsAukxj6Qgl0gZ+BR2zssKChAjx498NRTT2Hs2LG1vXu6hfNXCrB+31n8klOIkABvxHZoirAg+3fj8PHx0SAd6RG7QGrsAynYBXIG1R5kCwoK8PzzzyM5ORlmsxkvv/yyze3x8fEAgDNnztRKQKq69fvOYvbqAzDAAIHAAAO+SPsJfx3YDn3aN7VZ98iRI2jfvr1GSUlP2AVSYx9IwS4QAHh6euK5556Dp6en1lEcqvYgO3HiRKSmpuKrr75CaGgo/vGPf2DPnj3o0KFDHcSrf856LGbW1QLMXn0AIoCg4s3alP++980B3B3qj8Z3/O+V2VbR9+j+seo93+2C/1CRGvtACnaBgIpBduHChVrHqFS1Btn8/HwkJiYiKSkJv//97wEAH330EcLDw2scoLi42Ob9e3Nzc2u8r9rw9OzvNL3/uiAC/PHDH7SOQTp19uxZNG3a9NYrkktgH0jBLhBQ8Zf4fv36Ye3atfD1tT9UUWvVOtnrp59+QklJCbp3725dFhgY+Jsu0TFz5kwEBARYP/hDQ1S/PDxq/VB5cmLsAynYBQKA8vJyfP/99ygvL9c6ikPVaqmI1HqAv//97/jrX/9q/Tw3N1fTYfbzCQ/Dy+R8P7xJW4/jq51nYHHwPXIzGPDYfZEYEdNSg2Q1V1RSdlu+Qq43jRs31joC6Qj7QAp2gZxBtSa2Fi1awGg0YseOHWjWrBkA4Nq1azh+/DhiYmJqFMDT01NXBxB7mTyccpDt3ykCyTtPO7xNIOjfOcLmce3evRtdunSpr3ikY+wCqbEPpGAXyBlUa2Lz8/PDH/7wB0ycOBFBQUEICQnBK6+8Aje3/x2hcPXqVWRmZiIrKwsAcOzYMQBAaGgoQkNDazE6qYUF+eKvA9vhvW8qrloACPB/Vy/468B2CAu0Pa6lU6dOmuQk/WEXSI19IAW7QADg5eWFRYsWwcvLS+soDlX7pcdZs2YhPz8fgwYNgtlsxksvvYScnBzr7atWrcKoUaOsnw8dOhQAMG3aNEyfPv23J6ZK9WnfFPc0DcT6DNV1ZDs2tRtiAeDKlSu82DUBYBfIFvtACnaBAMBkMuGxxx6DyWTSOopD1R5k/fz88PHHH+Pjjz+2Lps4caL1/xMSEpCQkFAr4aj6wgJ9MfrhqFuul5+fzycoAsAukC32gRTsAgEVPejRowf27t0LPz8/rePYMUhdnMH1G+Tm5iIgIAA5OTnw9/fXOg4RERGRy9JiLqvOfVbr8lt0+zh06JDWEUgn2AVSYx9IwS6QM+Ag66LuvPNOrSOQTrALpMY+kIJdIGfAQdZF6fXCxlT/2AVSYx9IwS4QAPj4+CA5ORk+Pj5aR3GIg6yLOnfunNYRSCfYBVJjH0jBLhBQ8Q5vUVFRun2nN57sRUREREQO5ebmIjw8HOfOnePJXqQfP/30k9YRSCfYBVJjH0jBLpAiLy9P6wiV4iDrou644w6tI5BOsAukxj6Qgl0gZ8BB1kWZzWatI5BOsAukxj6Qgl0gZ8BB1kUdPHhQ6wikE+wCqbEPpGAXCAB8fX2xYsUK+Prav929HvBkLyIiIiJySESQl5cHs9kMg8FQL/fJk73ols6fP691BNIJdoHU2AdSsAsEVJzoFRAQoNsTvjjIuqj6+q2K9I9dIDX2gRTsAjkDDrIuqkmTJlpHIJ1gF0iNfSAFu0DOgIOsi9q7d6/WEUgn2AVSYx9IwS6QM+DJXi6qrKxMt283R/WLXSA19oEU7AIBFSd7Xbt2DXfccQdP9iL9yMnJ0ToC6QS7QGrsAynYBQIAi8WCI0eOwGKxaB3FIQ6yLur69etaRyCdYBdIjX0gBbtAAFBQUIAHHngABQUFWkdxiIOsi2revLnWEUgn2AVSYx9IwS6QM+Ag66IOHz6sdQTSCXaB1NgHUrAL5Aw4yLqoZs2aaR2BdIJdIDX2gRTsAinMZrPWESrF0xFdFC90TQp2gdTYB1KwCwQA/v7+yM7Ohq+vr9ZRHOIrsi7qzJkzWkcgnWAXSI19IAW7QEDFZdg+/fRTlJWVaR3FIV5HloiIiIgc0mIu43Vk6ZZOnTqldQTSCXaB1NgHUrAL5Aw4yLoovtpNCnaB1NgHUrAL5Aw4yLqowMBArSOQTrALpMY+kIJdIABwc3ND69at4eamz5FRn6mozmVkZGgdgXSCXSA19oEU7AIBgJ+fH5KSkuDn56d1FIc4yLqozp07ax2BdIJdIDX2gRTsAgFASUkJMjIyUFJSonUUhzjIuqjs7GytI5BOsAukxj6Qgl0gACgqKsLYsWNRVFSkdRSHOMi6qPLycq0jkE6wC6TGPpCCXSBnwEHWRYWHh2sdgXSCXSA19oEU7AI5Aw6yLmrfvn1aRyCdYBdIjX0gBbtAAODu7o7u3bvD3d1d6ygO8Z29XFRpaSmMRqPWMUgH2AVSYx9IwS6Qor67wHf2olvKz8/XOgLpBLtAauwDKdgFAoDi4mK8+uqrKC4u1jqKQxxkXdTly5e1jkA6wS6QGvtACnaBgIpB9l//+hcHWdKXu+++W+sIpBPsAqmxD6RgF8gZcJB1UUePHtU6AukEu0Bq7AMp2AVyBhxkXVSTJk20jkA6wS6QGvtACnaBAMBoNCI+Pl63J/5xkHVRei0k1T92gdTYB1KwCwQA3t7eWLRoEby9vbWO4hAHWRd18uRJrSOQTrALpMY+kIJdIAAoLCzEsGHDUFhYqHUUh3gdWSIiIiJySIu5jNeRpVs6c+aM1hFIJ9gFUmMfSMEukDPgIOuifHx8tI5AOsEukBr7QAp2gZwBB1kX1ahRI60jkE6wC6TGPpCCXSAA8PT0xLRp0+Dp6al1FIc4yLqo9PR0rSOQTrALpMY+kIJdIKBikO3fv79uB1me7EVEREREDhUUFODxxx9HcnIyfH196+U+ebIX3dIvv/yidQTSCXaB1NgHUrALBADl5eXYsGEDysvLtY7iEAdZF1VcXKx1BNIJdoHU2AdSsAvkDDjIuqhmzZppHYF0gl0gNfaBFOwCOQMOsi7qwIEDWkcgnWAXSI19IAW7QADg5eWFadOmwcvLS+soDvFkLxdVXFys2zMQqX6xC6TGPpCCXSBFfXeBJ3vRLRUVFWkdgXSCXSA19oEU7AIBQH5+Pjp06ID8/HytozjEQdZFXbhwQesIpBPsAqmxD6RgFwgALBYLjh49CovFonUUhzjIuqhWrVppHYF0gl0gNfaBFOwCOQMOsi7q+PHjWkcgnWAXSI19IAW7QM6Ag6yLCgkJ0ToC6QS7QGrsAynYBQIAHx8frFy5Ej4+PlpHcYiDrIvS62U0qP6xC6TGPpCCXSAA8PDwQP/+/eHh4aF1FIc4yLqoo0ePah2BdIJdIDX2gRTsAgEVl8IKCgpCbm6u1lEc4nVkiYiIiMghLeYyXkeWbikzM1PrCKQT7AKpsQ+kYBfIGXCQdVEmk0nrCKQT7AKpsQ+kYBfIGXCQdVGhoaFaRyCdYBdIjX0gBbtAAODr64uDBw/C19dX6ygOcZB1Ubt379Y6AukEu0Bq7AMp2AUCADc3N1y6dAlubvocGXmyl4sSERgMBq1jkA6wC6TGPpCCXSCAJ3uRTl26dEnrCKQT7AKpsQ+kYBfIGXCQdVE3btzQOgLpBLtAauwDKdgFcgYcZF1UZGSk1hFIJ9gFUmMfSMEukDPgIOuiDh48qHUE0gl2gdTYB1KwCwQAZrMZaWlpMJvNWkdxiIOsi2revLnWEUgn2AVSYx9IwS4QAFgsFhiNRlgsFq2jOMRB1kWVlZVpHYF0gl0gNfaBFOwCAUBBQQG6dOmCgoICraM4xEHWRZ0/f17rCKQT7AKpsQ+kYBfIGXCQdVFRUVFaRyCdYBdIjX0gBbtAzoCDrIs6efKk1hFIJ9gFUmMfSMEukEKvb08LcJB1WYGBgVpHIJ1gF0iNfSAFu0AA4O/vj8zMTN2+2yoHWRel18toUP1jF0iNfSAFu0BAxUl/aWlpuj35j4Osizp06JDWEUgn2AVSYx9IwS4QUPEObwMGDNDtO70ZRES0DqGWm5uLgIAA5OTk6PZlbCIiIiJXoMVcVp375CuyLurcuXNaRyCdYBdIjX0gBbtAzoCDrItyc+O3niqwC6TGPpCCXSCgogctW7bUbR94aAERERER6QYPLaBb2rNnj9YRSCfYBVJjH0jBLhAAlJSUYMqUKSgpKdE6ikN8RdZFlZeXw93dXesYpAPsAqmxD6RgFwjgyV6kU9euXdM6AukEu0Bq7AMp2AVyBhxkXVRubq7WEUgn2AVSYx9IwS6QM+Ag66LuuusurSOQTrALpMY+kIJdIABwd3dHnz59dHuYCQdZF3X48GGtI5BOsAukxj6Qgl0gAPD19cXs2bPh6+urdRSHOMi6qIiICK0jkE6wC6TGPpCCXSAAKC4uxieffILi4mKtozjEQdZF6exiFaQhdoHU2AdSsAsEVAyyM2fO5CBL+pKZmal1BNIJdoHU2AdSsAvkDDjIuqjWrVtrHYF0gl0gNfaBFOwCOQMOsi7q1KlTWkcgnWAXSI19IAW7QABgNBoxZMgQGI1GraM4xEHWRQUEBGgdgXSCXSA19oEU7AIBgLe3N+bPnw9vb2+tozjEQdZFNWjQQOsIpBPsAqmxD6RgFwgACgsLMWnSJBQWFmodxSEOsi5q//79WkcgnWAXSI19IAW7QABQWlqKJUuWoLS0VOsoDhlEZ9fXyM3NRUBAAHJycuDv7691HCIiIiKXpcVcVp379KiXRNWgzNV8j+e6lZ2djcaNG2sdg3SAXSA19oEU7AIB/5vH6nMuU+6rKq+16m6QzcvLAwA0bdpU4yREREREBGgzl+Xl5d3ypEPdHVpgsViQlZUFs9kMg8GgdZzbUm5uLpo2bYqzZ8/y8A0Xxy6QGvtACnaBFFp0QUSQl5eHJk2awM3t5qdz6e4VWTc3N4SHh2sdwyX4+/vzCYoAsAtki30gBbtAivruQlUv/8arFhARERGRU+IgS0REREROiYOsC/L09MS0adPg6empdRTSGLtAauwDKdgFUui9C7o72YuIiIiIqCr4iiwREREROSUOskRERETklDjIEhEREZFT4iDrIq5du4b4+HgEBAQgICAA8fHxuH79+k23yc/Px7hx4xAeHg5vb29ER0djwYIF9ROY6kxNugAAR44cwaBBgxAQEACz2Yxu3bohMzOz7gNTnalpFxTPPfccDAYD5syZU2cZqX5UtwulpaX429/+hrZt28LX1xdNmjTBiBEjkJWVVX+hqdbMnz8fd955J7y8vNC5c2ds27btputv3boVnTt3hpeXF+666y4sXLiwnpLa4yDrIuLi4rBv3z6sW7cO69atw759+xAfH3/TbSZMmIB169bhk08+wZEjRzBhwgT8+c9/xtdff11Pqaku1KQLP/30Ex544AFERUVhy5Yt2L9/P6ZMmQIvL696Sk11oSZdUKSkpGDnzp1o0qRJHaek+lDdLty4cQN79+7FlClTsHfvXiQnJ+P48eMYNGhQPaam2vD5559j/PjxeOWVV5CRkYGePXvikUceqfSFitOnT6Nfv37o2bMnMjIy8I9//AMvvvgiVq5cWc/J/4/Qbe/w4cMCQHbs2GFdlpaWJgDk6NGjlW53zz33yGuvvWazrFOnTvLqq6/WWVaqWzXtwtNPPy3Dhw+vj4hUT2raBRGRc+fOSVhYmBw8eFAiIiJk9uzZdZyW6tJv6YLarl27BID8/PPPdRGT6si9994rf/zjH22WRUVFyeTJkx2uP2nSJImKirJZ9txzz0m3bt3qLOPN8BVZF5CWloaAgADcd9991mXdunVDQEAAtm/fXul2DzzwAFatWoXz589DRJCamorjx48jNja2PmJTHahJFywWC9asWYOWLVsiNjYWjRo1wn333YeUlJR6Sk11oabPCxaLBfHx8Zg4cSLuueee+ohKdaymXfi1nJwcGAwGNGjQoA5SUl0oKSnBnj170KdPH5vlffr0qfR7n5aWZrd+bGwsdu/ejdLS0jrLWhkOsi7gwoULaNSokd3yRo0a4cKFC5Vu9/7776N169YIDw+HyWRC3759MX/+fDzwwAN1GZfqUE26cPHiReTn5+Ott95C3759sWHDBjz22GN4/PHHsXXr1rqOTHWkps8Lb7/9Njw8PPDiiy/WZTyqRzXtglpRUREmT56MuLg4+Pv713ZEqiOXL19GeXk5QkJCbJaHhIRU+r2/cOGCw/XLyspw+fLlOstaGQ6yTmz69OkwGAw3/di9ezcAwGAw2G0vIg6XK95//33s2LEDq1atwp49e/Duu+/iT3/6EzZt2lRnj4lqpi67YLFYAACDBw/GhAkT0KFDB0yePBkDBgzQ9AB/cqwuu7Bnzx7MnTsXy5Ytu+lzB+lDXf8boSgtLcXQoUNhsVgwf/78Wn8cVPd+/X2+1ffe0fqOltcHj3q/R6o148aNw9ChQ2+6TmRkJA4cOIBffvnF7rZLly7Z/ValKCwsxD/+8Q989dVX6N+/PwCgXbt22LdvH9555x387ne/++0PgGpNXXahYcOG8PDwQOvWrW2WR0dH44cffqh5aKoTddmFbdu24eLFi2jWrJl1WXl5OV566SXMmTMHZ86c+U3ZqXbVZRcUpaWlGDJkCE6fPo3Nmzfz1Vgn07BhQ7i7u9u9+nrx4sVKv/ehoaEO1/fw8EBQUFCdZa0MB1kn1rBhQzRs2PCW63Xv3h05OTnYtWsX7r33XgDAzp07kZOTg/vvv9/hNqWlpSgtLYWbm+2L9u7u7tZX6Eg/6rILJpMJXbt2xbFjx2yWHz9+HBEREb89PNWquuxCfHy83S+xsbGxiI+Px6hRo357eKpVddkF4H9D7IkTJ5CamqrJEEO/jclkQufOnbFx40Y89thj1uUbN27E4MGDHW7TvXt3fPPNNzbLNmzYgC5dusBoNNZpXoc0OcWM6l3fvn2lXbt2kpaWJmlpadK2bVsZMGCAzTqtWrWS5ORk6+cxMTFyzz33SGpqqpw6dUqWLl0qXl5eMn/+/PqOT7WoJl1ITk4Wo9EoH374oZw4cULmzZsn7u7usm3btvqOT7WoJl34NV614PZQ3S6UlpbKoEGDJDw8XPbt2yfZ2dnWj+LiYi0eAtXQZ599JkajURITE+Xw4cMyfvx48fX1lTNnzoiIyOTJkyU+Pt66/qlTp8THx0cmTJgghw8flsTERDEajfLll19qkp+DrIu4cuWKDBs2TMxms5jNZhk2bJhcu3bNZh0AsnTpUuvn2dnZkpCQIE2aNBEvLy9p1aqVvPvuu2KxWOo3PNWqmnRBRCQxMVFatGghXl5e0r59e0lJSam/0FQnatoFNQ6yt4fqduH06dMCwOFHampqveen3+aDDz6QiIgIMZlM0qlTJ9m6dav1tpEjR0pMTIzN+lu2bJGOHTuKyWSSyMhIWbBgQT0n/h+DyP8doUtERERE5ER41QIiIiIickocZImIiIjIKXGQJSIiIiKnxEGWiIiIiJwSB1kiIiIickocZImIiIjIKXGQJSIiIiKnxEGWiIiIiJwSB1kiIqqSyMhIzJkzR+sYRERWHGSJyOkkJCTAYDDAYDDAaDTirrvuwssvv4yCggKto9UYh0Qiourz0DoAEVFN9O3bF0uXLkVpaSm2bduGMWPGoKCgAAsWLKj2vkQE5eXl8PBw/qfEkpISmEwmrWMQEdULviJLRE7J09MToaGhaNq0KeLi4jBs2DCkpKQAAD755BN06dIFZrMZoaGhiIuLw8WLF63bbtmyBQaDAevXr0eXLl3g6emJbdu24aeffsLgwYMREhICPz8/dO3aFZs2bbK538jISLzxxhsYMWIE/Pz8EBERga+//hqXLl3C4MGD4efnh7Zt22L37t02223fvh29evWCt7c3mjZtihdffNH6CnLv3r3x888/Y8KECdZXmquynTpPQkICAgICMHbsWLuv1aJFixAWFgaLxWKzfNCgQRg5ciQAVOmxq505cwYGgwH79u2zLrt+/ToMBgO2bNliXXb48GH069cPfn5+CAkJQXx8PC5fvlzpfomIqoODLBHdFry9vVFaWgqg4lXJ119/Hfv370dKSgpOnz6NhIQEu20mTZqEmTNn4siRI2jXrh3y8/PRr18/bNq0CRkZGYiNjcXAgQORmZlps93s2bPRo0cPZGRkoH///oiPj8eIESMwfPhw7N27Fy1atMCIESMgIgCAH3/8EbGxsXj88cdx4MABfP755/jhhx8wbtw4AEBycjLCw8Px2muvITs7G9nZ2VXaTjFr1iy0adMGe/bswZQpU+we51NPPYXLly8jNTXVuuzatWtYv349hg0bBgBVfuzVkZ2djZiYGHTo0AG7d+/GunXr8Msvv2DIkCE13icRkQ0hInIyI0eOlMGDB1s/37lzpwQFBcmQIUMcrr9r1y4BIHl5eSIikpqaKgAkJSXllvfVunVrmTdvnvXziIgIGT58uPXz7OxsASBTpkyxLktLSxMAkp2dLSIi8fHx8uyzz9rsd9u2beLm5iaFhYXW/c6ePdtmnapu9+ijj97ycQwaNEhGjx5t/XzRokUSGhoqZWVl1XrsSsbTp08LAMnIyLDefu3aNQEgqampIiIyZcoU6dOnj80+z549KwDk2LFjt8xMRHQrfEWWiJzS6tWr4efnBy8vL3Tv3h29evXCvHnzAAAZGRkYPHgwIiIiYDab0bt3bwCwe3WxS5cuNp8XFBRg0qRJaN26NRo0aAA/Pz8cPXrUbrt27dpZ/z8kJAQA0LZtW7tlyuEMe/bswbJly+Dn52f9iI2NhcViwenTpyt9jFXd7tePw5Fhw4Zh5cqVKC4uBgB8+umnGDp0KNzd3av12Ktjz549SE1NtckfFRUFoOJQBiKi38r5z2wgIpf04IMPYsGCBTAajWjSpAmMRiOAioGsT58+6NOnDz755BMEBwcjMzMTsbGxKCkpsdmHr6+vzecTJ07E+vXr8c4776BFixbw9vbGk08+abedcl8ArMezOlqmHJNqsVjw3HPP4cUXX7R7HM2aNav0MVZ1u18/DkcGDhwIi8WCNWvWoGvXrti2bRvee+896+1VfewKN7eK10Hk/w6fAGA9tEOdf+DAgXj77bfttm/cuPEtMxMR3QoHWSJySr6+vmjRooXd8qNHj+Ly5ct466230LRpUwCwO/GqMtu2bUNCQgIee+wxABXHjZ45c+Y3Z+3UqRMOHTrkMK/CZDKhvLy82ttVlbe3Nx5//HF8+umnOHnyJFq2bInOnTtbb6/uYw8ODgZQcRxsx44dAcDmxC8l/8qVKxEZGXlbXBGCiPSHhxYQ0W2lWbNmMJlMmDdvHk6dOoVVq1bh9ddfr9K2LVq0QHJyMvbt24f9+/cjLi7O7kz/mvjb3/6GtLQ0vPDCC9i3bx9OnDiBVatW4c9//rN1ncjISHz//fc4f/689az+qmxXHcOGDcOaNWuwZMkSDB8+3Oa26j52b29vdOvWDW+99RYOHz6M77//Hq+++qrNOi+88AKuXr2KZ555Brt27cKpU6ewYcMGjB492m5oJyKqCQ6yRHRbCQ4OxrJly7BixQq0bt0ab731Ft55550qbTt79mzccccduP/++zFw4EDExsaiU6dOvzlTu3btsHXrVpw4cQI9e/ZEx44dMWXKFJs/r7/22ms4c+YMmjdvbn21syrbVcdDDz2EwMBAHDt2DHFxcTa31eSxL1myBKWlpejSpQv+8pe/4I033rC5vUmTJvjvf/+L8vJyxMbGok2bNvjLX/6CgIAA66EJRES/hUHUBzgRERERETkJ/kpMRERERE6JgywREREROSUOskRERETklDjIEhEREZFT4iBLRERERE6JgywREREROSUOskRERETklDjIEhEREZFT4iBLRERERE6JgywREREROSUOskRERETklDjIEhEREZFT+v+W/JGGB61NNQAAAABJRU5ErkJggg==" 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MeNSkKdu2bWMdO3Zk7u7uzMvLi/Xp04cdOXKkylgteV49U6Mxjx49yjp37sw8PT1ZSEgIe/rpp9mff/5Z4f1NnDiReXl5sTNnzrCePXsyDw8PFhgYyKZPn254f7xasmQJA8C2bdtW6TLLli0zGkFd2akjjDG2Y8cOBoDNnz+fMSYt/xkZGczNzY098sgjlS6fk5PDPDw8Kox0LU8/GnbTpk1Gt1e2julrOyMjw3CbpeuZSqViL774IgsNDWXu7u6sU6dOLDExkUVHRxuNhtW/P3PrA2M0GpY3CsYYc2BvJqTGmTRpEn788ccKJ7QTQmoOOnWEEEIIMYOaJSGEEGIG7YYlhBBCzKAtS0IIIcQMapaEEEKIGdQsCSGEEDOoWRJCCCFmULMkhBBCzKBmSQghhJhBzZIQQggxg5olIYQQYgY1S0IIIcQMapaEEEKIGdQsCSGEEDOoWRJCCCFmULMkhBBCzKBmSQghhJhBzZIQQggxg5olIYQQYgY1S0IIIcQMapaEEEKIGdQsCSGEEDOoWRK7W7NmDRQKBU6dOmXy/iFDhqB+/fqODYoT+tykpKTIHQomTZoEhUJh+PHy8kL9+vUxbNgwrF69GiqVyurnnDNnDhQKBYYMGWKHiGsHnU6Hb7/9Fn379kVwcDBcXV0RGhqKIUOGYPv27dDpdHKHWCtQsySEGHh4eCAxMRGJiYn45Zdf8Pbbb8PLywtTp05FfHw8bt26ZfFzqdVqrFu3DgCwa9cu3L59215h11ilpaUYNGgQJk6ciNDQUHz55ZfYu3cvli1bhsjISIwePRrbt2+XO8xawUXuAAgh/HByckKnTp2MbpswYQKeeuopDBkyBKNGjcKxY8cseq6ffvoJGRkZGDx4MHbs2IG1a9fi9ddft0fYdqNWq6FQKODiIs9H5Zw5c/Drr79i7dq1mDBhgtF9I0eOxL///W+UlJTIElttQ1uWhFho//79UCgUWLduHebMmYPw8HB4eHigR48eSEpKqrD8zz//jM6dO8PT0xM+Pj7o168fEhMTLXqt3377DX369IGvry88PT3RtWtX/P7770bLZGRk4JlnnkFUVBSUSiVCQkLQtWtX/PbbbzZ5v+UlJCRg6tSpOH78OA4ePGjRY1auXAk3NzesXr0aUVFRWL16NRhjNo2rfv36RruOy//s37/fsNzVq1cxduxYhIaGQqlUokmTJvj888+Nnkv/9/3222/x4osvok6dOlAqlbh27RoAYNWqVWjVqhXc3d0RGBiIESNG4OLFi0bPcf36dTz++OOIjIyEUqlEWFgY+vTpg9OnT1v93tLT07FixQr079+/QqPUi42NRcuWLa1+bmI9apbEYbRaLTQaTYUfW3+A2tvrr7+O69evY8WKFVixYgXu3LmDnj174vr164ZlNmzYgOHDh8PX1xffffcdVq5ciZycHPTs2ROHDx+u8vnXrVuHhIQE+Pr6Yu3atfjhhx8QGBiI/v37GzXM8ePHY9u2bXjrrbewe/durFixAn379kVWVpZhGX0DmDdvXrXf97BhwwDAomZ569Yt7N69G8OHD0dISAgmTpyIa9euWdxoLbV161bDbuPExEQcOXIELVq0gJeXF+rVqwcAuHDhAtq3b49z587h448/xi+//ILBgwdj5syZmD9/foXnfO2115Camoply5Zh+/btCA0NxXvvvYcpU6agWbNm2LJlCz755BOcOXMGnTt3xtWrVw2PHTRoEP744w8sXLgQe/bswZdffok2bdogNzfXsIz+OPWaNWuqfG/79u2DWq3GI488YotUkepihNjZ6tWrGYAqf6Kjo+UO06x9+/YxAKxt27ZMp9MZbk9JSWGurq7s6aefZowxptVqWWRkJGvRogXTarWG5QoKClhoaCjr0qWL4TZ9bpKTkxljjBUVFbHAwEA2dOhQo9fWarWsVatWrEOHDobbvL292axZs6qMef/+/czZ2ZnNnz/f7PubOHEi8/LyqvT+ixcvMgBs+vTpRo8pH7/e22+/zQCwXbt2McYYu379OlMoFGz8+PFm46iOGTNmMBcXF7Zz507Dbf3792d169ZleXl5FZZ1d3dn2dnZjLF//r4PP/yw0XI5OTnMw8ODDRo0yOj21NRUplQq2dixYxljjGVmZjIAbMmSJVXGuHbtWubs7MzWrl1b5XLvv/++UQ6JvGjLkjjMN998g5MnT1b46datm+TnNLWlasmPVquV/Jpjx46FQqEw/B4dHY0uXbpg3759AIDLly/jzp07GD9+PJyc/lnFvL298eijj+LYsWMoLi42+dxHjx5FdnY2Jk6caBSvTqfDgAEDcPLkSRQVFQEAOnTogDVr1mDBggU4duwY1Gp1hefr0aMHNBoN3nrrLcnvV49ZuAeAMWbY9dqvXz8AQExMDHr27InNmzcjPz+/2rGY8v7772Pp0qVYtmwZBg4cCOD+AJnff/8dI0aMgKenp1FOBw0ahNLS0grHYB999FGj3xMTE1FSUoJJkyYZ3R4VFYXevXsbtvYDAwPRoEEDfPjhh1i0aBGSkpJMjlSdMGECNBpNpbtWCZ+oWRKHadKkCdq1a1fhx8/PT9LzpaSkwNXVVdJPgwYNJL+P8PBwk7fpd3/q/42IiKiwXGRkJHQ6HXJyckw+9927dwEAo0aNqhDzBx98AMYYsrOzAQAbN27ExIkTsWLFCnTu3BmBgYGYMGEC0tPTJb+3qty4ccPwHvTWrFkDxpjRqT979+5FcnIyRo8ejfz8fOTm5iI3NxePPfYYiouL8d1339k8tnXr1uH111/HW2+9hSlTphhuz8rKgkajwWeffVYhn4MGDQIAZGZmGj3Xg383c39P/f0KhQK///47+vfvj4ULF6Jt27YICQnBzJkzUVBQYPV70u9GTk5OtvqxxPZoNCwRVmRkJE6ePCnpsUqlUvLrmmpG6enpCAoKAgDDv2lpaRWWu3PnDpycnBAQEGDyuYODgwEAn332WYVRqXphYWGGZZcsWYIlS5YgNTUVP//8M1599VXcu3cPu3btsv6NmfHzzz8DAHr27FnlcitXrgQALFq0CIsWLTJ5/7Rp02wW1549ezB58mRMmjSpwjHIgIAAODs7Y/z48Xj++edNPj4mJsbo9/J7DQDzf0/93wy4v5dB//6vXLmCH374AfPmzUNZWRmWLVtm1fvq1asXXF1dsW3bNjz77LNWPZbYgbx7gUltoD8ud/LkSZP3Dx48WKhjlvHx8SaPWU6ZMoUxdv/4Yp06dVjr1q2NlissLGShoaGsa9euhtsePGZZUFDA/P39jY4LWuORRx5hISEhkh5b1THL3bt3M1dXV6PjraZkZ2czd3d31rVrV7Zv374KP+PGjWMA2NmzZyXF+KCkpCTm4+PD+vfvz9Rqtcll+vbty1q1asVUKlWVz6X/+27atMnodv0xy2HDhhndfvPmTaZUKtm4ceOqfN7WrVuz9u3bW/BuKpo+fToDUOnxzWvXrrG//vpL0nMT69CWJSFWunfvHkaMGIGpU6ciLy8Pc+fOhbu7O1577TUA989VXLhwIcaNG4chQ4Zg2rRpUKlU+PDDD5Gbm4v333+/0uf29vbGZ599hokTJyI7OxujRo1CaGgoMjIy8NdffyEjIwNffvkl8vLy0KtXL4wdOxZxcXHw8fHByZMnsWvXLowcOdLwfAcOHECfPn3w1ltvWXTcUqfTGY7hqVQqpKam4n//+x9++OEHNGnSBD/88EOVj1+/fj1KS0sxc+ZMk1ugQUFBWL9+PVauXInFixcDuL+leuDAAatHRefn52PQoEHw8PDASy+9VGGGqKZNm8LX1xeffPIJunXrhu7du2P69OmoX78+CgoKcO3aNWzfvh179+6t8nX8/f3x5ptv4vXXX8eECRPwxBNPICsrC/Pnz4e7uzvmzp0LADhz5gxmzJiB0aNHIzY2Fm5ubti7dy/OnDmDV1991fB833zzDSZPnoxVq1aZPW65aNEiXL9+HZMmTcKvv/6KESNGICwsDJmZmdizZw9Wr16N77//nk4fcQS5uzWp+WraluW3337LZs6cyUJCQphSqWTdu3dnp06dqrD8tm3bWMeOHZm7uzvz8vJiffr0YUeOHDFa5sEtS70DBw6wwYMHs8DAQObq6srq1KnDBg8ebNjqKS0tZc8++yxr2bIl8/X1ZR4eHqxx48Zs7ty5rKioqELMc+fONfv+9CNb9T8eHh6sXr16bOjQoWzVqlVmt8wYu78VFRoaWuWynTp1YsHBwYZl4uPjWXh4uNnnflBycnKVI6z37dtntOzkyZNZnTp1mKurKwsJCWFdunRhCxYsMCxT2Zal3ooVK1jLli2Zm5sb8/PzY8OHD2fnz5833H/37l02adIkFhcXx7y8vJi3tzdr2bIlW7x4MdNoNIbl9H/z1atXW/Q+NRoNW7t2LevduzcLDAxkLi4uLCQkhA0cOJBt2LDBaMQ1sR8FY4Kd5EaITPbv349evXph06ZNGDVqlNzh1AgFBQUIDAzEkiVLKj2mSAgPaDQsIUQ2Bw8eRJ06dTB16lS5QyGkStQsCSGyGTx4MFJSUuDm5iZ3KIRUiXbDEkIIIWbQliUhhBBiBjVLQgghxAxqloQQQogZNCmBGTqdDnfu3IGPj0+FabAIIYSIizGGgoICREZGGl30wBRqlmbcuXMHUVFRcodBCCHETm7evIm6detWuQw1SzN8fHwA3E+mr6+vw18/OzsbgYGBDn/dmoByJ82cOXNMToBOzKOak0auvOXn5yMqKsrwOV8VapZm6He9+vr6ytIsvby84Ozs7PDXrQkod9J4e3vLUus1AdWcNHLnzZJDbDTAh3OVXfeQmEe5k0alUskdgrCo5qQRIW/ULDlX/lp5xDqUO2k8PDzkDkFYVHPSiJA32g3LuczMTCEKiUeUO2lKSkrkDkFYvNWcVquFWq2WOwyzcnJyKr0guq24urpWa1cvNUvO2buAajLKnTRKpVLuEITFU80VFhbi1q1bZq8T+scfHoiPt/wLkrXLW4IxhtzcXJs+54MUCgXq1q0Lb29vSY+nZsm5/Px8rlZAkVDupCkrK5M7BGHxUnNarRa3bt2Cp6cnQkJCKh3AsmCBC955xwX//a8aL72kNfu8H33kjDffdMUbb2jwn/9obBavRqOBi4v92hFjDBkZGbh16xZiY2MlbWFSs+QcHT+SjnInjT0/tGo6XmpOrVaDMYaQkJBKYzp8GHjnnfv/f/NNV7i6uuKVVyp/zg8+AN588/7/33nHBQMGuKBbN9vEq9PpzE4KUF0hISFISUmBWq2W1CxpgA/nRDjewCvKnTQ6nU7uEITFW81VdUpEt27A++//8/urr95viKZ88MH9+/Xefx82a5QAzO4qtoXqzsBGzZJzNMWedJQ74mii1dwrr5hvmKYaZVVboFWpX78+4uLi0Lp1azRt2hSff/652eXPnTsn7cVsjPa3cI5OcJaOcieNvXeH1WQi1py+8ekbov7fV16xbaPU+/HHH9G8eXPcvHkTLVq0QPfu3dG8efPqPakD0FrBOTpBXDrKnTRarfmBHsQ0UWvO1BZmUJDtG2V5UVFRaNSoES5evIiRI0eiRYsWaN68OZYvX25y+fT0dDz22GPo0KEDWrZsibfeegvA/cMGM2bMQFxcHFq1aoX4+HiUlpbaLtD/R1uWnJM6zJlQ7qRydXWVOwRhiVxzD25hZmf/c5+tGyUAnD17FpcuXcIPP/yAuLg4bNu2Dffu3UN8fDxat26NDh06GC0/ceJEvPHGG3j44Yeh0WgwZMgQbN26FfXr18fvv/+OCxcuwMnJCXl5eXBzc7NtsKBmyb3c3FyuTnIWCeVOGlG3jngges298gqwcKFxowwMtG2jHDVqFNzd3eHp6YlVq1Zh2rRp+OijjwAAoaGhGDlyJH7//XejZllUVIS9e/fi7t27htsKCwtx6dIl9O7dG2q1GpMnT0avXr0wePBguxxKoGbJOZFXPLlR7qTh5fQHEYlecx98YNwogfu/f/CB7Rqm/pil3rRp0ypsCT44UEqn00GhUODkyZMm93ycP38eBw4cwL59+/Daa6/h4MGDaNiwoW0C/n90zJJzmZmZcocgLMqdNDTdnXQi19yDg3nKXzGrqtNKqqtv37748ssvAQAZGRnYunUrevfubbSMj48PunfvjvfLHVi9c+cObt26hYyMDBQVFSEhIQHvvvsu6tevjwsXLtg8TmqWnKNr40lHuZPG3d1d7hCEJWrNmRr1mpVl+XmY1fHpp5/i/PnzaNmyJXr16oU33nijwvFKAFi/fj0uXryIFi1aoEWLFnj00UeRlZWFmzdvol+/fmjZsqVhkNDAgQNtHifthuVcbm6usCug3Ch30tAxS+lErLmqTg+p6rQSKVJSUircFhYWhk2bNpmcOar88uHh4diwYYPJ5/3jjz+kBWQF2rLknMij6+RGuZOGRsNKJ1rNWXIepSUTF1SXCOf28h9hLWeP84VqC8qdNHSepXQi1dzhw5afR2mqYR4+bLtYHDHdXXVRs+SciDOC8IJyJ41oU7bxRKSa69YNmDv3/v8tOY+yfMOcO9e2c8OKgI5Zco4+uKSj3BFHE63m5s0D+va1vPG98grQtWvta5QAbVlyj7erGIiEcicNXXVEOt5qzpLdm9Y2Pns0Skfshq3ua9CWJec8PT3lDkFYlDtpaICPdLzUnKurKxQKBTIyMqq8+DMvdDodNBrbXUz6QfqLPysUCsn1Tc2Sc3l5ecLPCiIXyp00dOqIdLzUnLOzM+rWrYtbt26ZPF2DN1qt1u7HexUKBerWrSv5dahZci4oKEjuEIRFuZOGJiWQjqea8/b2RmxsLHe7hk1hjNl969fV1bVaDVmoZnnw4EF8+OGH+OOPP5CWloatW7fikUceqfIxBw4cwJw5c3D+/HlERkbi5ZdfxrPPPuuYgG0gKyuLi2+qIqLcSSPS6Q+84a3mnJ2dhRihm5mZyVXeTBFqgE9RURFatWqFpUuXWrR8cnIyBg0ahO7duyMpKQmvv/46Zs6cic2bN9s5Utvh6ZuqaCh30tCWpXRUc9KIkDehtiwHDhxo1Zx/y5YtQ7169bBkyRIAQJMmTXDq1Cl89NFHePTRR+0UpW3x9k1VJJQ7aWjLUjqqOWlEyJtQW5bWSkxMREJCgtFt/fv3x6lTp4TYjw8Afn5+cocgLMqdNEqlUu4QhEU1J40IeRNqy9Ja6enpCAsLM7otLCwMGo0GmZmZiIiIqPAYlUplNBowPz/f7nFWpbi4WIhC4lFtzZ1KpUJhYSEKCgrg5+eHgIAAHDt2DJmZmSgrK4NKpULXrl1Rr149rFy5Evn5+WCMgTGGsWPHQq1W48MPPwRw/5iXq6srnnrqKSgUCmzZsgWurq5QKpXw8vJCv379UFJSgtu3b8PLywteXl7w9vYW4jiZPdTWmqsuEfJWo5slUHFGDf2JqZWNvHrvvfcwf/78CreXlZUhKysLAQEByM7ORnBwMDIzM+Hn54eioiIolUpotVowxuDm5oaioiL4+fkhJyfHsGxAQADy8/Ph4eEBtVoNhUIBFxcXlJSUwMfHx3CV9czMTAQGBiI3NxdOTk7Iz8+Hs7MznJycUFZWBk9PT8MQ9czMTAQFBSE7Oxu+vr4oLi42nEek0Wjg7u6OgoKCCnH7+/ujsLBQctzOzs5QqVTw9vY2Gbe3tzdKS0vh7OwMhUIBtVptiDsoKAhZWVmGf/38/AxxM8ag1Wrh7u6OwsJC+Pv7m43b1dUVJSUl8PX1NYpbqVQiOzsbXl5eKCsrMxt3Tk4OfHx8UFpaargCgj7u/Px8BAYGGnYX6f/2xcXFcHNzg06ng1arhVKpRFFRkcm4CwoK4OHhAY1GU2XcAQEByMvLMxm3l5cX8vLy4OzsjLNnz0Kj0eDmzZto0KABWrZsiS1btiApKQkA4O/vj27duqFv375IS0uDQqGASqVCYGAgVCoVSkpK0KpVK0PcxcXF8PX1RVlZGYYNG4acnBx4eHggLy8PjDGUlpYiKCgIjDEUFBRArVYjKysLJSUl+Pbbb6HT6ZCbm4vw8HDMnDkTycnJSEpKgpeXFyIiIuDl5YU2bdoY1ayPjw9KSkoMNatWq+Hh4YGCggKT+davaw/m+8GaLZ9vS9c1Ly8vqFQqw7pWPt+WrmtFRUXw8fFx6GfEg3GL+Bmh0WiQl5fn8M8Ia77UKZgIM9iaoFAozI6Gffjhh9GmTRt88sknhtu2bt2Kxx57zKhgyjO1ZRkVFYW8vDz4+vra9D1YoqioCF5eXg5/3ZqgJuSuoKAAly9fRnp6OtLS0uDp6Ylx48bhyJEjOHHiBIKCghAUFISGDRuicePGKCwshJOTEzw8PCQPxf/Xv/6Fzz77TNJjdTodiouL4e3tjfT0dJw7dw45OTnIyclBWFgYhg8fjj179uDixYsICwtDWFgYGjVqhMjISEmvx5uaUHNykCtv+fn58PPzs+jzvUZvWXbu3Bnbt283um337t1o165dpbM4KJVKro7Z0BUgpBMpd4wx3L17F6mpqUhJScHdu3cxY8YMZGZm4tixY4iIiEDTpk1Rt25dAEDXrl3RtWvXCs9ji0tEVef7s5OTkyGG8PBwhIeHV1imbdu2CA4Oxt27d3Hjxg14enoiMjIS3333HUpLSxEVFYV69eohOjqaq3XREiLVHE9EyJtQzbKwsBDXrl0z/J6cnIzTp08jMDAQ9erVw2uvvYbbt2/jm2++AQA8++yzWLp0KebMmYOpU6ciMTERK1euxHfffSfXW7AaDeOXjufcaTQapKSk4Nq1a+jSpQtcXFzw6aefGhpFr169wBhDTEwMZsyY4dDY7H28Ub81/KAuXbogJSUFqampOHHiBEaPHo2GDRti+/btiIqKQoMGDWTZu2MNnmuOZyLkTahmeerUKfTq1cvw+5w5cwAAEydOxJo1a5CWlobU1FTD/TExMdi5cydmz56Nzz//HJGRkfj000+FOW0EuP8FQbQrr/OCp9zpdDqo1WoolUp8//33OH36NDw9PQ0zrPj6+mLBggVcXARXrpHi0dHRiI6ONvzOGINGo4FCocD+/fuxYcMGBAcHY86cOYb7eJmLVY+nmhOJCHkT9pilo1izT9sedDodFx+gIpI7dyUlJbh06RLOnz+Py5cvo3Pnzhg0aBCuXr0KX19fhIaGcjnB9ezZs7F48WK5w6igpKQEt27dQmxsLC5evIjVq1ejXr16aNq0KZo1a1Zh5Lsc5K45UcmVN2s+3+mvyrns7Gy5QxCWHLnLzc3FxYsXAQAnTpzA3r17ERwcjKlTp2LAgAEAgNjYWISFhXHZKAF+JyXw8PBAbGwsgPsTjLzxxhto164dbty4gQMHDgAALl26hKtXr8p2mTFaX6URIW9C7YatjXif1YJnjsqdSqXC8ePHkZSUhNu3b6Nx48aIi4vDww8/jB49ejgkBlvy8PCQOwSL+Pn5oVOnTujUqZPhtvT0dBw4cACMMbRq1QoPP/ywQ6dSo/VVGhHyRs2ScyJMMMwre+autLQUZ8+eRWxsLLy8vHD16lV07twZzZs35+44mrVKSkrkDkGynj174uGHH8b169dx+vRpqNVqaLVa/Prrr2jVqhUiIyPtukVP66s0IuSNmiXn/P395Q5BWPbIXXJyMg4fPozz588jNDQUoaGh8Pf3x5QpU2z+WnIR7XSNBzk5OaFhw4Zo2LAhgPvn8OXn5+OLL75AUFAQOnXqhC5dutjltWl9lUaEvFGz5Jx+hgpiPVvlrrCwEGlpaYiNjcWNGzcQGBiI2bNnczGgxB5EmTfZUl5eXnj88ccxYsQI/PXXX7h37x4A4O+//wYAPPTQQzbb2qT1VRoR8kbNknOif8uXU3VyxxjD9evXkZiYiHPnzqFJkyaIjY1Fz549bRcgp2rqvK5KpRIdOnQw/J6eno5ff/0VXl5e6NatG9q1a1ft9Y3WV2lEyBs1S86JMLMFr6TkTj+XZGlpKdavX482bdrgxRdfREhIiB0i5JNcI0kdrWvXrujYsSP++usvHDp0COHh4XjooYcMpxNIQeurNCLkjZol5+g0WOmsyV1paSmOHz+OQ4cOoU+fPujcuTP+85//0DlzNZyLiwvi4+PRtm1bAMDdu3exePFiNG/eHD169EC9evWsej5aX6URIW/0ScC5yuawJeZZmru//voLCxYswJkzZzB8+HB07NgRAGpto6yN71uhUEChUCA8PBwvv/wyfH198dVXX2HLli1WPQ+tr9KIkDfasuRcSUmJEPMm8qiq3BUWFuL48ePo1asX6tSpg6effhr169d3bICc0mg0cocgq6CgIAwfPhz9+vVDXl4egPsXYHjooYfQoEGDKgcD0foqjQh5o2bJOd4njuaZqdwVFRVh//79OHLkCBo0aIDi4mIEBwdzf46XI7m5uckdAhc8PT3h6ekJxhicnJywdu1ahIWFISEhAbGxsSabJq2v0oiQt9q3v0UwOTk5cocgLFO527hxI9LS0vDss89iypQpNrmkVU1T/nqu5P4u2r59++KNN95A06ZNsWPHDsNAsAfR+iqNCHmjLUvO0RaPdMHBwdDpdDh27BguXbqEp556CuPHjxfi+IicRJnuztHc3d3Ru3dv9OrVCwqFAlu2bEFJSQkGDhxouGIGra/SiJA32rLkXGZmptwhCIkxhiNHjuCjjz7CoUOHDIN2qFGaJ/J0d46g3/3au3dvuLi4YOHChfjpp59QUlJC66tEIuSNtiw5FxAQIHcIwtHvHjt79iy6du2KTp061dgT7e1BhBPEeeDv748xY8bg4Ycfxu+//w4A8PHxoct0SSDC5xz9RTmnH41HzFOpVPjpp5+wdu1aKBQKPPbYY+jatSs1SiuVlZXJHYJQIiIi8OSTT8LDwwO//PILPvnkE6OL0BPzRPico2bJOS8vL7lD4B5jDGfOnMHChQtx584dDBw4EADlTiraVS3dgAED0Lx5c3z55ZfYtGkTiouL5Q5JCCKsq7QblnNlZWW0W8wMnU6HQ4cOYdCgQWjbtq3hmBLlThoRph7jlU6nQ79+/RAfH4+dO3dCo9FAp9MZJj0gpomwrlKz5BytYKbpdDocPHgQ9+7dw2OPPYbnnnuuQq4od8TR9DUXGBiIJ598EgCwf/9+XL16FaNHj+b+yhpyEWFdpd2wnKPjbRVlZGTg888/x7FjxwxXkTC1slHupKHBKdKZqrmOHTvCz88PH374IRITE4WYB9XRRFhXacuScyqVis57K0en02HVqlWIi4vDoEGDqjy+RrmThnbDSmeq5jw8PPDYY4+hVatW2LZtGxo3bmw4L5PcJ8K6Ss2SczTDzH3Z2dm4dOkSunTpghdeeMGieSQpd9LQAB/pqqq5xo0b49///jecnJxw4sQJODk5IT4+XohdkPYmwrpK+1s4l5ubK3cIsktKSsKiRYuQnp4OxpjFEy5T7qSh6e6kM1dz+l3cvr6++OWXX7BhwwaUlpY6IDK+ibCuUrPknAjTQNnTzz//jK1bt2Ls2LEYOXKkVd/Ca3vupOJ9dxjPLK25uLg4vPjiiygqKsKSJUugVqvtHBnfRFhXaTcs5zIzM4UoJFsrKSmBh4cH4uLi8PDDD0saRVhbc1ddNN2ddNbUnI+PD6ZOnYrU1FS4urri3r17CA4OrpUDrERYV2vfX0UwtW0gAGMMx48fx7vvvov8/Hw0atRI8nD72pY7W+H9uoI8s7bmFAoFoqOjwRjDxo0bsWrVqlo5kYEI6yo1S86JcOkaW9FoNNi0aRN27dqFCRMmVPsad7Upd7ZEx9Ckk1pzCoUCU6dOhbOzM5YsWYI7d+7YODK+ibCuUrPknI+Pj9whOMzp06eRnp6OWbNmITY2ttrPV5tyZ0t08WfpqlNz7u7umDRpEjp06IATJ07YMCr+ibCu0jFLzpWWltb4D68bN27Ay8sL8fHxaN26NVxcbFOWtSF39kDnWUpX3ZrTX2iaMYaSkhIcOnQIffr0EeKk/eoQYV2lLUvO2apx8Or48eNYtmwZbt68CYVCYdP3W9NzZy903p90tqo5hUIBlUqFc+fOYfny5TV+0JUI6yo1SyILxhi2b9+OnTt34umnn0abNm3kDokQrvj7+2PGjBlwd3fHp59+iuzsbLlDqtX4b+e1XE09/0qr1aKoqAgzZ85EUFCQXV6jpubO3nQ6ndwhCMvWNefm5oaJEydi7969NXqUsgjrKm1Zcs7T01PuEGyquLgYO3fuhJOTEx5//HG7NUqg5uXOUWi6O+nsUXNOTk7o27cvPD09sX37dpw+fdrmryE3EdZVapacy8/PlzsEm8nKysKnn36KzMxMh2y91KTcORJNdyedvWuuYcOG2LRpEw4cOGDX13E0EdZVapacE+FkXUvcvn0bn332GZo2bYrx48c75IB+Tcmdo9Xk3X32Zu+aa9KkCZ577jns3bsXe/bssetrOZII6yo1S85lZWXJHYJN6HclDRs2zGGjLWtK7hyNJiWQzhE1V6dOHTz//POIiYmx+2s5igjrKg3w4Rzv8yWac+3aNWRlZaFjx46IiIhw6GuLnju50ETq0jmq5kJDQxEaGoorV67gzz//xOjRo4U+F1OEdZW2LDmXmZkpdwiSXbx4EatWrZJtJRY5d3Kq6ef02ZOjay4iIgJ37tzB2rVrodFoHPratiTCukrNknN+fn5yhyDJmTNn8M033+Dxxx9Hu3btZIlB1NzJTalUyh2CsBxdcz4+Ppg+fTqKioqwZs0aYWdfEmFdpWbJOVGvQFBQUIAJEyagZcuWssUgau7kJsI5b7ySo+Y8PDwwdepUNG3aVNjLe4mwroqZ2VqE9/kSH3Tp0iXcvXsXXbt2RZMmTWSNRbTc8ULkY19yk6vm3N3d0aVLFxQUFGDbtm3CbWGKsK5Ss+ScSLOpXL16Fd988w0yMjLkDgWAWLnjCWNM7hCEJXfNubi4IDk5GevWrROqYcqdN0tQs+ScKAV//fp1rFmzBqNGjULz5s3lDgeAOLnjDTVL6eSuOU9PT0ybNg1ZWVnYsGGDEE0IkD9vlqBmyTlRBlscOXIEw4cPR9u2beUOxUCU3PGGdsNKx0PN6Rumk5OTMLMx8ZA3c6hZcq6oqEjuEKqUm5sLjUaDJ598Eh06dJA7HCO8545XNMBHOl5qzsvLC+PGjYNSqcSlS5fkDscsXvJWFWqWnPP395c7hEoVFBTgiy++wKlTp7i8BiLPueOZCN/yecVbzeXk5GD9+vU4fvy43KFUibe8mULNknO8XsNOpVJh5cqVqF+/Pjp27Ch3OCbxmjve0XR30vFWc0FBQZg8eTJ++uknnDt3Tu5wKsVb3kyhZsk5XqeB2rx5M9zd3TFmzBgutyoBfnPHO5ruTjoeay4mJgZjx47F5s2buT2GyWPeHkRzw3IuMzOTy0JKSEiAt7c314NBeM0d72i6O+l4rbnmzZujQYMGUCqV0Ol03E1ewGveyuMrY6QC3vblHz58GImJiQgODub+Uk685U4UdMxSOp5rzsPDA8nJyfjss8+428LkOW961Cw5V1BQIHcIBlevXsWOHTsQGRkpdygW4Sl3IikrK5M7BGHxXnP16tWDUqnEd999x9X5tLznDaBmyT1ejh9lZWXh22+/xciRIxEdHS13OBbhJXeiccSFuWsq3mvO2dkZEyZMQFpaGn799Ve5wzHgPW8ANUvu8XLZnVu3bqFDhw5o37693KFYjJfciUaUWV94JELNeXp6YvLkyVw1KBHyRl8hOSf3rhLGGHJyctCqVSu0atVK1lisJXfuSO0jSs2FhYUhLCwMWVlZ0Ol0CAkJkTUeEfJGW5acc3V1lfX1Dxw4gFWrVglRzA+SO3ei4m2kpEhEq7lTp05hzZo1sh+nFiFvtFZwTs5h/Ddu3MCvv/6Kxx57jNtzKatCp0BII8IuMV6JVnP9+vWDt7c3Nm/eLOsXYhHyRs2Sc76+vrK8bklJCb799lsMGDAA9erVkyWG6pIrd6IT4dqCvBKt5pycnDBu3DhcuXIFZ86ckS0OEfJGzZJzOTk5sryum5sb+vfvj4cffliW17cFuXInOt7OwROJiDXn6+uLZ599Fs2aNZMtBhHyRs2Sc3LManH27FkUFxejffv2Qu5+1eN9RhBe8TRKUjSi1lxYWBg0Gg22bt0qy1VnRMgbNUvOZWZmOvT17ty5gw0bNggxsbE5js5dTSHC8SNeiVxzbm5uuHXrFn755ReHv7YIeaNmybmAgACHvZZGo8F3332Hnj17CjPxQFUcmbuahKa7k07kmnNycsLYsWNx6tQpXL582aGvLULeqFlyLi8vz2GvdejQITg5OaFv374Oe017cmTuahK5TyMQmeg1FxQUhGHDhmHPnj0OHR0rQt5oUgLOeXl5Oey1unTpgtatW3N9JRFrODJ3NYkI57zxqibUXIcOHdCmTRuHjlcQIW+0Zck5R3zLV6vV2LFjBxQKhRC7QyxFW0jSaLVauUMQVk2oOYVCATc3N+zYsQNJSUkOeU0R8kbNknOO+Ha3c+dOJCcn17gJtEUeyUvEVJNqrm7duvjpp59QXFxs99cSIW/ULDln712iN2/exLFjxzBmzJgaN81ZTdmd7Gg1rQ4cqSbVXMuWLVGvXj1s377d7q8lQt5oreCcvU8Q/9///ofevXvLPpGyPdDJ9dLQbljpalLNKRQKjBw5EtevX0dRUZFdX0uEvNWs/W41kL0PfD/55JM1dnozEQYN8IgG+EhX02rO398fr7zyit33NoiQN+G2LL/44gvExMTA3d0d8fHxOHToUKXL7t+/HwqFosLPpUuXHBhx9dhrSHVubi527twJDw+PGnesUk+E4eg8EuFbPq9qYs05OTkhMTER//vf/+z2GiLkTahmuXHjRsyaNQtvvPEGkpKS0L17dwwcOBCpqalVPu7y5ctIS0sz/MTGxjoo4uqz1zRQW7duRX5+vhAH1qUSYQotHtF0d9LV1JqrX78+Dhw4gIyMDLs8vwh5E6pZLlq0CFOmTMHTTz+NJk2aYMmSJYiKisKXX35Z5eNCQ0MRHh5u+BHhYLKePaaBunjxIq5fv44hQ4bY/Ll5IsIUWjyi6e6kq6k1FxERgY4dO+Lnn3+2y/OLkDdhmmVZWRn++OMPJCQkGN2ekJCAo0ePVvnYNm3aICIiAn369MG+ffuqXFalUiE/P9/oR06BgYE2fT7GGHbv3o3+/fvD29vbps/NG1vnrrZwd3eXOwRh1eSa69+/P9LT0+1yhRAR8iZMs8zMzIRWq0VYWJjR7WFhYUhPTzf5mIiICCxfvhybN2/Gli1b0LhxY/Tp0wcHDx6s9HXee+89+Pn5GX6ioqIA3G/WWVlZ0Ol0hm9BmZmZUKvVyM3NRUlJCQoLC1FQUACVSoXs7GxotVqjZbVaLXJyclBaWoqCggIUFhaitLQUOTk50Gg0RsvqdDpkZ2fj3r17yM/PR1FREUpKSpCXlwe1Wm20LGMMWVlZUKvVyMvLQ3FxMYqLi5Gfn18hboVCgWHDhqF9+/bVirukpAS5ubmVxl1WVmaIu7i42ChuxpjRv+XjLioqMsSdnZ1dId8ajaZC3PocPhh3VlYWsrOzoVKpLIo7KyvLELc+h/q4s7KyDPGW/9vn5eWhpKTEELc+h6bi1ufQXNxarbbSuB/820uNW59DU3HrvyCai/vBHJaPu3zNmopbX7NlZWVGNZuXl2eoWWvifjCH5eO2dF2zJu7K1rUbN244/DPiwbir+xlR2bqm1Woxe/ZsMMZs/hmRlpYmy2eENSO/FUzOy2Nb4c6dO6hTpw6OHj2Kzp07G25/55138O2331o8aGfo0KFQKBSV7k5QqVRGAxzy8/MRFRWFvLw8WS5QWlZWZrPRqiUlJTh+/DgefvjhWnEunS1zV5u88MIL+OSTT+QOQ0i1oeZOnDgBjUaDLl262Ow55cpbfn4+/Pz8LPp8F+YTMzg4GM7OzhW2Iu/du1dha7MqnTp1wtWrVyu9X6lUwtfX1+hHTqWlpTZ7rj179uDKlSs1elBPebbMXW1C51lKVxtqLiAgADt37rTpuZci5E2YZunm5ob4+Hjs2bPH6PY9e/ZY9Q0nKSkJERERtg7Pbmx1WkdmZiaOHj2KYcOG1ZpmWVNPibG32lIf9lAbai42NhYxMTHYu3evzZ5ThLzxH2E5c+bMwfjx49GuXTt07twZy5cvR2pqKp599lkAwGuvvYbbt2/jm2++AQAsWbIE9evXR7NmzVBWVoZ169Zh8+bN2Lx5s5xvQxa//vor4uPjER4eLncohBDBDRgwAMuWLUNCQkKtuf6pUM1yzJgxyMrKwttvv420tDQ0b94cO3fuNFyoOC0tzeicy7KyMrz00ku4ffs2PDw80KxZM+zYsQODBg2S6y1YTa1W2+R5+vfvX+OPpTzIVrmrbXQ6ndwhCKu21FydOnXw2muv2axRipA3YQb4yMWaA8D2oFarqz392JUrV9CgQQOhzi+1BVvkrjaaNWsWlixZIncYQqptNXf06FE0atSo2pMKyJW3GjnAp7aq7nmet2/fxurVq+0+ETKP5D5HVlQ03Z10ta3mbt26hV9//bXazyNC3qhZcq66J+vu2rULXbp0kX1UrxxEONGZRzQpgXS1reYSEhJw9uzZSs91t5QIeaNmybmsrCzJj01NTcXff/+NXr162TAicVQnd7WZCMP4eVXbas7f3x/t2rUzOzOaOSLkTagBPrVRdY4FuLq6YuTIkTV+WrvKiDA5M49oInXpamPN9e3bt9rzCYuQN9qy5JzUCYbLysoQHh6Odu3a2TgicYgwOTOPaCJ16Wpjzfn7+yMsLAy3b9+W/Bwi5I2aJef8/PwkPW7btm02OfAuMqm5q+1qy3lz9lBba+7evXtYunQpCgoKJD1ehLxRs+SclFGs+fn5+PPPP9GmTRs7RCSO2jgC2BZEOOeNV7W15sLDw9GwYUMcOnRI0uNFyBs1S85J+ZZ/+PBhNGrUyKo5c2si2kKSpradj2tLtbnmevfujaNHj0o69UiEvFGz5Jy1s6kwxnDr1q1aOwK2PJqJRhqap0S62lxz9evXR3x8vKStRBHyRqNhOWftFSAUCgWmTp1qp2jEQlfPkIaapXS1ueYUCgVGjBgh6bEi5I22LDlnze4Jxhi2bt2KvLw8unIExNi1wyPaDSsd1RywatUqXLt2zarHiJA3apacs2aXxo0bN/Dnn3/Cy8vLjhGJQ4RBAzyiAT7SUc0BYWFhOHLkiFWPESFv1Cw55+/vb/GyR48eRbt27WrVRM5VsSZ35B8ifMvnFdUc0LlzZ1y4cAG5ubkWP0aEvFGz5Fx2drZFyxUWFuLMmTPo3LmznSMSh6W5I8ZoujvpqObuz/MaFxeHpKQkix8jQt5ogA/nLJ0GysPDA1OmTEFoaKidIxKHCFNo8Yimu5OOau6+xx9/3KoJ+UXIG21Zcs6SaaAYY8jJyUFsbKwDIhKHCFNo8Yimu5OOau4+Dw8P3Lx50+KrkYiQN2qWnLNkX/6tW7ewePFiaDQa+wckEBGOg/CIjllKRzX3j9OnT1t8NRIR8kbNknOWzLX4xx9/oGXLlnBxob3q5Umdp7K2KysrkzsEYVHN/aN9+/Y4c+aMRcfARcgbNUvOmTt+pNVqcfr0acTHxzsoInHQsTdp6EuXdFRz/4iIiEBISAjOnDljdlkR8kZrBefM7VrNzc1FWFgYGjRo4KCIxEG7paURYeoxXlHNGevbt69Fk1yIkDdqlpwzN/VYUFAQpk+f7qBoxELTthFHo5oz1rJlS4uWEyFvtBuWc1VNMKBWq/Hjjz/SjCuVoMkZpHFyoo8FqajmKtqxYweOHz9e5TIi5I3WCs5VNYz/8uXLuHr1Kh1jqgSdAiGNCLvEeEU1V5Gvr6/ZCQpEyBs1S875+PhUet+5c+fQvHlzmjS9ElXljlTOzc1N7hCERTVXUYsWLXD9+nUUFhZWuowIeaNmybnK5lfU6XS4cOECWrRo4diABGLN3JTkH1Iu3kvuo5qryN/fH3Xr1sX58+crXUaEvNH+O85VNg2UTqfD0KFDUa9ePQdHJA4RptDikQjD+HlFNWfak08+CV9f30rvFyFvtGXJuaqmgWrfvj0NxqiCCFNo8UiE40e8opozLSAgAJmZmZUORhQhb/RJy7mAgIAKtzHG8OGHH+LGjRsyRCQOU7kj5tF0d9JRzZmmUCiwevXqSi8KLULeqFlyLi8vr8JtmZmZyMvLQ2RkpAwRicNU7oh5NN2ddFRzlWvcuDEuXbpk8j4R8kbNknNeXl4Vbrty5QpiYmKEODdJTqZyR8yjupKOaq5ycXFxuHz5ssn7RMgbNUvOmRqZmJKSgkaNGskQjVhoVKc0Wq1W7hCERTVXuQYNGkCpVJqcWF2EvNFoWM6ZmlfxiSeeoA80C1gyJyWpiM7blY5qrnJKpRKzZ882eZ8IeaMtS849ONo1JycHd+7coV1lFqCRwtJQs5SOaq5q6enpOHr0aIXbRcgb/xHWcg/unjh58iT2798vTzCCEWHXDo9or4V0VHNVU6lU2LVrV4WJ00XIGzVLzj144Ds5OZkux2UhEQYN8Ij2WkhHNVe1unXroqysDBkZGUa3i5A3apacKz+kWqfTITU1FfXr15cvIIGIMBydRyJ8y+cV1VzVnJ2dER0djeTkZKPbRcgbDfDhXPlpoIqKihAdHY2wsDAZIxKHCFNo8Yimu5OOas68rl27VtiSFCFvtGXJufLTQPn4+OCZZ54R4mA4D0SYQotHNN2ddFRz5rVs2bLCoSQR8kafupwLCgoy/D8xMRGpqakyRiOW8rkjlnN3d5c7BGFRzZmn0+mwdOlS5OfnG24TIW/ULDmXnZ1t+P+BAwdQXFwsYzRiKZ87YjlTJ40Ty1DNmefk5ISSkhLcunXLcJsIeZPULCdNmoSDBw/aOhZigv6iqMXFxcjMzKRLcllBhAvK8ogu/iwd1ZxlIiMjcfv2bcPvIuRNUrMsKChAQkICYmNj8e677xq9aWJb+uNHaWlp8Pf3h6enp8wRiYOOvUmj0WjkDkFYVHOWqVOnjlHfECFvkprl5s2bcfv2bcyYMQObNm1C/fr1MXDgQPz444+VXq+MSKM/583b2xv9+vWTORqx0PmC0tAAMumo5izTpk0bJCQkGH4XIW+S14qgoCC88MILSEpKwokTJ9CwYUOMHz8ekZGRmD17Nq5evWrLOGu9sLAwdOzYUe4wCCGk2vz8/BAeHg6dTid3KBar9lfItLQ07N69G7t374azszMGDRqE8+fPo2nTpli8eLEtYqzV9Fvq69evp4s9W4n2ckgj0gcYb6jmLPfhhx/i+vXrAMTIm6RmqVarsXnzZgwZMgTR0dHYtGkTZs+ejbS0NKxduxa7d+/Gt99+i7ffftvW8dY6Hh4e0Ol0OHv2LJ0sbiXKlzQuLjRXiVRUc5YLCQlBWloaADHyJmmtiIiIgE6nwxNPPIETJ06gdevWFZbp378//P39qxkeKSgoMHzTF2GWC54UFBQIcf4Wb8rKyuQOQVhUc5YLDQ01TEYgQt4kNctFixbhscceq/Lk5YCAgArz/xHrBQYG4sKFCwgJCaGBF1YKDAyUOwQh0aQE0lHNWS4kJASnT58GIEberP701Wg0mDx5Mq5du2aPeMgDsrKyEBUVhZEjR8odinCysrLkDkFINCmBdFRzlmvbti0mT54MQIy8Wb1l6eLigujoaLrmnYMEBweDMQZfX1+5QxEO7baWRoTjR7yimrOci4sL0tPTERoaKkTeJO3X+89//oPXXntNiCmKRJeZmYlVq1bhjz/+kDsU4YgwOTOPRDhBnFdUc9b57LPPkJGRIUTeJB2z/PTTT3Ht2jVERkYiOjq6wuVW/vzzT5sER+6fj3Tv3j0hpoPijZ+fn9whCEmpVModgrCo5iynUCgQEhKCjIwMxMXFyR2OWZKa5SOPPGLjMEhlCgoKkJOTI8RuCt4UFRXRiGwJRDjnjVdUc9YJCAhAbm6uEHmT1Cznzp1r6zhIJfS7xHgvJB7RFpI0zs7OcocgLKo56wQHB0OtVguRNzr7mHO+vr545ZVX6LQRCWgmGmkYY3KHICyqOesMGTIEwP0tct5JapZarRaLFy/GDz/8gNTU1AonMdPAH9spLS2Ft7e33GEIiUZsS0PNUjqqOevk5+cjLS0NERERcodilqTNlfnz5xsmJsjLy8OcOXMwcuRIODk5Yd68eTYOsXY7f/48NmzYIHcYQhJh1w6PaDesdFRz1rl79y62bNkiRN4kNcv169fj66+/xksvvQQXFxc88cQTWLFiBd566y0cO3bM1jHWapmZmTQSViIRdu3wiAb4SEc1Zx0/Pz/k5eWhsLBQ7lDMktQs09PT0aJFCwD3r7OYl5cH4P7+5x07dtguOgKtVkvNUiIaxi+Nm5ub3CEIi2rOOr6+vtBoNDV3y7Ju3bqG2eIbNmyI3bt3AwBOnjwpxJsWyb1792j2HolycnLkDkFIKpVK7hCERTVnHaVSiZiYmJo7KcGIESPw+++/o2PHjnjhhRfwxBNPYOXKlUhNTcXs2bNtHWOtNmPGDBpwIRGdmyoNTXcnHdWcdRQKBZ5//nm5w7CIpGb5/vvvG/4/atQo1K1bF0ePHkXDhg0xbNgwmwVHgDNnzqBx48Z0JQgJMjMz6cNLApruTjqqOeudOHEC/v7+aNSokdyhVMkm51l26tQJnTp1ssVTkQds374dPj4+eOihh+QORTg0kYM0dChFOqo56x05cgS9evWSOwyzJDfLK1euYP/+/bh3716FE3HfeuutagdG7svLy6OtSokKCgoQEBAgdxjCoYs/S0c1Zz0PD4+aeYkuAPj6668xffp0BAcHIzw8HAqFwnCfQqGgZmkjjDHodDr6pi8RHXuTxsWFJvaSSqSaO3wY6NbNfstbysPDQ4iZjySNhl2wYAHeeecdpKen4/Tp00hKSjL80BVHbEen08Hb25u2LCWi8wWlEeGDi1ei1Ny8eUD37sAHH1i2/Acf3F/eHnPOxMbGCnHKjaRmmZOTg9GjR9s6FvIAZ2dn/Pvf/65wCTRimfJ7PAhxBBFq7vBhYP78+/9/9VXzDfODD+4vB9x/3OHDto2nS5cuaNq0qW2f1A4kNcvRo0cbzq10tC+++AIxMTFwd3dHfHw8Dh06VOXyBw4cQHx8PNzd3fHQQw9h2bJlDoq0+tRqNc6dO0enjkhEuxOloUn7pROh5rp1A8qd0FBlwyzfKIH7j7P1rtjTp0/j8uXLtn1SO5D0l23YsCHefPNNHDt2DC1atICrq6vR/TNnzrRJcA/auHEjZs2ahS+++AJdu3bFV199hYEDB+LChQuoV69eheWTk5MxaNAgTJ06FevWrcORI0fw3HPPISQkBI8++qhdYrSl4uJirFu3Dh07dpQ7FCGVlJTQLmwJNBqN3CEIS5Sae+WV+//qG6H+X/3tgOlGWf5+W0lJSUFpaSni4+Nt/+S2xCSoX79+pT8xMTFSntIiHTp0YM8++6zRbXFxcezVV181ufzLL7/M4uLijG6bNm0a69Spk8WvmZeXxwCwvLw86wOuppycHDZ79myHv25NoVar5Q5BSC+88ILcIQhLtJp7/33GgH9+3n+/6tvt4eeff2abN2+23wtUwZrPd0lblsnJybbt2BYoKyvDH3/8gVfLf9UBkJCQgKNHj5p8TGJiIhISEoxu69+/P1auXAm1Wl1hi5g3Op1OmAEDPMrNzaUTxCWg6e6kE63mTG1hLlwIlL/Kor22KPWcnZ1r7qkjcsjMzIRWq0VYWJjR7WFhYUhPTzf5mPT0dJPLazQaZGZmmryGmkqlMvqwyM/Pt0H00ri4uKBZs2ayvb7oRPrQ4olIpz/wRsSae7BhOrJRAvePkYtwzV6Lm+WcOXPw3//+F15eXpgzZ06Vyy5atKjagVXmwdFmjLEqR6CZWt7U7Xrvvfce5uuHipXz8ssvQ6FQwN3dHaWlpfDw8EBJSQmUSiXUajWcnZ0NQ+6dnZ2hVqvh5uYGlUpltGxZWRlcXFwMyzo5OUGj0VRY1t3dHSqVClqtFjNmzIBCoYBCoYBWq4Wrq2uFZUtLSw2x6AdoMMbg7OyMsrIyu8RdWSwqlQqurq7QarWGPOt0OsOy+ljMxa1Wq6FUKs3GXVkOGWNwcnIyxGIu7tLSUri5uZmN21QsjDGzcVv6t9cvK1fce/bswZw5c6odtyU16+bmBo1GY/jb63Q6uLi4mK3ZB+O2xbpmTdyV1WxhYSF8fX0d+hlhi7jv5/sjlJb+M/Le3b0IqakvY+ZM+35GpKamori4GPv27XP4Z4Q1LG6WSUlJhl2CSUlJlS5nr6HTwcHBcHZ2rrAVee/evQpbj3rh4eEml3dxcUFQUJDJx7z22mtGXwby8/MRFRWFhQsXOvzqHyUlJUhMTETv3r0d+ro1hU6no5GdEsyePduuX3hrMlFr7oMPgNJS49tKS71Qr97ndt+yvHnzJsrKytCgQQP7vpAJ+fn5Fp8hYXGz3Ldvn8n/O4qbmxvi4+OxZ88ejBgxwnD7nj17MHz4cJOP6dy5M7Zv32502+7du9GuXbtKj1cqlUpuZsxRqVTYsmULevXqJcT5W7zJzc1FYGCg3GEIh45ZSidizT046jUw8J9dsaZGydpaVFQUssvv++WUUF+B5syZgxUrVmDVqlW4ePEiZs+ejdTUVDz77LMA7m8VTpgwwbD8s88+ixs3bmDOnDm4ePEiVq1ahZUrV+Kll16S6y1YxcXFxWhXHLEOTeYgDe8D33gmWs2ZOj0kK8vy8zBt4bfffsMff/xhvxewEcnXszS1paM/ptewYUOMHTsWjRs3rnaA5Y0ZMwZZWVl4++23kZaWhubNm2Pnzp2Ijo4GAKSlpSE1NdWwfExMDHbu3InZs2fj888/R2RkJD799FMhzrEE7n9oaTQaaDQaIU525o1KpeJmL4FI6MuZdCLVXFXnUVpyHqatZGdnC/H5JilCPz8/bNu2Df7+/oiPjwdjDElJScjNzUVCQgI2btyIDz74AL///ju6du1q04Cfe+45PPfccybvW7NmTYXbevToIex8ta6urmjTpo3cYQjL2dlZ7hCERLv8pROl5iyZcMBRDbOsrEyI0bCSdsOGh4dj7NixuH79OjZv3owtW7bg77//xpNPPokGDRrg4sWLmDhxIl6x95HhGs7JyQlPPPGEEDOC8EjEgRY8oGYpnQg1d/iw5TPzvPJKxV2ytp4bVj/ymXeS/rIrV67ErFmzjArDyckJ//rXv7B8+XIoFArMmDED586ds1mgtdW2bdtkPddTZDRQRRraDSudCDXXrRswd+79/1tyHmX5hjl3ru3nhk1ISJBlJKy1JO2G1Wg0uHTpEho1amR0+6VLlwwrmru7O31DtYFLly6hS5cuDj9tpSYQbbAFL2iAj3Si1Ny8eUDfvpY3vldeAbp2tc/1LOvWrSvETGWStizHjx+PKVOmYPHixTh8+DCOHDmCxYsXY8qUKYbRqAcOHKDZZ2zAyckJxcXFcochpLy8PLlDEJIIW0e8EqnmrG189miUAPDJJ58IMa5E0pbl4sWLERYWhoULF+Lu3bsA7k8jN3v2bMNxyoSEBAwYMMB2kdZSoaGhKCoqkjsMIYk49RgPaLo76ajmrJeTk4PIyEi5wzBLUrN0dnbGG2+8gTfeeMNwPO3B3YSmLplFrNewYUOEhobKHYaQMjMz6cNLAmunASP/oJqzjk6nQ1FREcrKyuQOxaxqn9xCx9Lsq2/fvnTsV6LKpjQkVRNhZCKvqOasU1xcDMYYoqKi5A7FLMnN8scff8QPP/yA1NTUCt8KRNj/LIr9+/fDxcUF3bt3lzsU4WRnZ9OHlwSlD04SSixGNWcdT09PvPzyyygoKOA+b5IG+Hz66ad46qmnEBoaiqSkJHTo0AFBQUG4fv06Bg4caOsYazWdTofr16/LHYaQaK+HNKLMQMMjqjnr6HQ6+Pr6CpE3Sc3yiy++wPLly7F06VK4ubnh5Zdfxp49ezBz5kyhRoOJQKlUIjc3V+4whESjiKURYRg/r6jmrHP+/HksX75ciLxJapapqano0qULgPsj5woKCgDcP6Xku+++s110BMHBwdQsJaLzBaURYRYaXlHNWSc3Nxe+vr5C5E3ydHdZWVkAgOjoaBw7dgwAkJycbLi4MrGNkJAQDB48WO4wCCHE5nJycrg/VqknqVn27t3bcJ3IKVOmYPbs2ejXrx/GjBljdK1JUn2urq5o166d3GEISaPRyB2CkOgLr3RUc9bJzc1FQECAEHmTNBp2+fLl0Ol0AO5fMzIwMBCHDx/G0KFDDdeWJLbh7u6Or7/+Gn379kVMTIzc4QiFToGQRpQrZ/CIas46EydOhE6nE2I+YknN0snJyei4xmOPPYbHHnvMZkGRfxQUFECj0SArK4uapZVEGI7OIxFOEOcV1ZzlGGNISUlBvXr1hMib5PMsS0tLcebMGdy7d8+wlak3bNiwagdG7gsICEBQUBAyMzPlDkU4AQEBcocgJNo6ko5qznIlJSX4/PPP8c477wiRN0nNcteuXZgwYYLJD3CFQiHEJrUosrOzERoaitTUVLlDEU52djZNPSYBTUogHdWc5TIzM+Ht7Q2lUinENIGSBvjMmDEDo0ePRlpaGnQ6ndEPNUrbCg4ORtu2bWmyBwl4X/l4RROpS0c1Z7m7d+8a5r0WIW+SmuW9e/cwZ84chIWF2Toe8oDMzEz4+vrC39+fRilaiXZdS0MTqUtHNWe5srIy1K9fH4AYeZPULEeNGoX9+/fbOBRiip+fHxhjeOutt4QoKJ74+fnJHYKQaLo76ajmLNe1a1cMGjQIgBh5k3TMcunSpRg9ejQOHTqEFi1aVJh9YebMmTYJjgBFRUXw9/dHcHAw7t27h5CQELlDEoY+d8Q6NN2ddFRzlktMTETr1q3h4eEhRN4kNcsNGzbg119/hYeHB/bv3290CSmFQkHN0ob03/LDwsKQlpaGZs2ayRyROGgLSRo6z1I6qjnLlJaWYvPmzWjZsiUAMfImqVn+5z//wdtvv41XX32V5pG0M/2Aqbp16+LmzZsyRyMWGmwmzYOnghHLUc1ZJj09HT4+PvDy8gIgRt4kNcuysjKMGTOGGqUD6Af1dO3alb7xW4kGRBFHo5qzzO3btxEZGWn4XYS8Sep2EydOxMaNG20dCzHBzc0NwP05Ym/dugWVSiVzROLQ545Yh76USUc1ZxkvLy+0bt3a8LsIeZO0ZanVarFw4UL8+uuvaNmyZYUBPosWLbJJcOT+gAH9/vwNGzbgkUceQVxcnMxRiaF87ojlaICPdFRzlinfKAEx8iapWZ49exZt2rQBAJw7d86mARFj5YdUR0VF4ebNm9QsLSTCcHQeifAtn1dUc+aVlJRg69atGDNmjGEvhgh5k9Qs9+3bZ+s4SCVycnIMs1vUrVsXf//9t8wRiaN87ojlaFe/dFRz5t28eRM3btww2t0vQt6sapYjR440u4xCocDmzZslB0SMlS+gmJgYapZW4H3l4xVNdycd1Zx5N27cQFRUlNFtIuTNqmYpwqZyTVN+guF69eph8uTJMkckDhEmZ+YRTXcnHdWceTdu3EDjxo2NbhMhb1Y1y9WrV9srDlKJBy9dc/HiRTg7O6NRo0YyRSQOES77wyPeB1rwjGrOvE6dOhmdNgKIkTc6UZJz+fn5Rr/fvn0bx48flykasTyYO2IZuvizdFRzVWOMoXnz5ggMDDS6XYS8UbPk3IPHjxo0aIC///5biJN45UbH3qRxcZF8Tfhaj2quanv37sVPP/1U4XYR8kbNknMPnvMWFRWF0tJS3Lt3T6aIxEHnC0pD091JRzVXtatXr5q8GIQIeaNmybnyk9QD97/1Dxw4kL79W+DB3BFib1RzldNoNEhJSUFsbGyF+0TIG33ics5UU+zRo4cMkYiHvlBIQ3M+S0c1V7nU1FR4enqaHPUqQt5oreCcqWH8JSUlWLRoEQ3EMINOgZBGo9HIHYKwqOYqFxMTg1mzZpncihQhb9QsOefj41PhNnd3d6hUKly7dk2GiMRhKnfEPJruTjqqucpdv34d3t7eJu8TIW/ULDmXm5tb4TaFQoEmTZrg4sWLjg9IIKZyR8yj6e6ko5ozLSMjA19//XWley1EyBs1S85VNquFvlnSKSSV431GEF6JMIyfV1Rzpp0/fx6xsbGV7rUQIW/ULDmXmZlp8vYGDRrgmWeecXA0Yqksd6RqIhw/4hXVnGnnz59H06ZNK71fhLxRs+TcgzNd6Lm4uCAwMBAZGRkOjkgcleWOVM3d3V3uEIRFNVeRTqeDm5tblc1ShLxRs+RcVfvyL168iFWrVtGu2EqIcByER3TMUjqquYqcnJwwderUKi/EIULeqFlyzsvLq9L74uLiUFBQgDt37jgwInFUlTtSOVdXV7lDEBbVXEW//PIL0tPTq1xGhLxRs+RcVd/yXV1d0bRpU/z1118OjEgctIUkjVarlTsEYVHNGcvPz8fBgwfh6elZ5XIi5I2aJefKX03clLZt2wpRaHIwlztimghTj/GKas7YX3/9hYceegi+vr5VLidC3vifY6iWMzf1WJMmTdCkSRMHRSMWmrZNGmqW0lHNGUtKSkLHjh3NLidC3viPsJazZEq7v//+GwcOHHBANGKh6QClod2w0lHNGRswYABatmxpdjkR8kbNknPm9vUD93dh/Pbbb0Jc5saRLMkdqYgG+EhHNfeP/Px8xMbGWjTJhQh5o2bJuby8PLPLREdHw8fHB+fOnXNAROKwJHekIjoGLh3V3H06nQ6ffPKJxfNXi5A3apacs2QaKIVCgQ4dOuD48eMOiEgcIkyhxSOa7k46qrn7Ll26BOD+TGOWECFv1Cw5Z+k0UO3bt8eAAQPsHI1YRJhCi0c03Z10VHP3HTt2DB06dLB44I4IeaPRsJwLCgqyaDkvLy94enoiJycHAQEBdo5KDJbmjhij6e6ko5q7P0CssLDQolGweiLkjbYsOZednW3xsteuXcOnn35KF+/9f9bkjvyjtLRU7hCERTV3f8DhzJkz4e/vb/FjRMgbNUvOmTuZt7yGDRvC3d2dZvT5f9bkjvxDqVTKHYKwanvNabVa/PDDDygsLLTqcSLkjZol54qLiy1eVqFQoHv37jh48CBNrg7rckf+QacgSVfba+7MmTP4+++/rT4VRIS8UbPknLXnvMXHx8PLy4t2pYHOF5RKhNlUeFWba44xhoMHD6J79+5W15AIeaMBPjWMUqmki0ITQhwuJSUFmZmZaN++vdyh2AV9heSclME6Op0OK1euRE5Ojh0iEgcNdJKGduFLV5trrl69enj22WclHfMWIW/ULDknZRi/k5MT3NzcsH//ftsHJBA6BUIaEa4AwavaWnN5eXnIyclBnTp1JD1ehLxRs+RcQUGBpMf17dsXJ06ckPz4mqA2v/fqEGFSa17V1pr77bffsGfPHsmPFyFv1Cw5J3WCgYiICDRq1AjHjh2zcUTioMkZpBHhWz6vamPN5ebm4uTJk+jdu7fk5xAhb9QsOVedk3VHjx6NPn362DAasYhwojOPaCS1dLWx5n7//Xc0b94cYWFhkp9DhLzRaFjOVWeCYW9vb2RmZuLOnTsWXVOuphFhcmYe0UTq0tXGmgsODkZcXFy1n4N3tGXJuepOMFxQUIAffvihVk6OLcLkzDyqjbViK7Wt5tRqNXr06FGtrUpAjLxRs+ScNfMrmhITE4OoqCjs27fPNgEJpLq5q61oujvpalPN5ebm4r///S+Kioqq/Vwi5I2aJeesnWPRlEGDBuHQoUNCXGDVlmyRu9qIpruTrjbV3J49exAbGwsvL69qP5cIeROmWebk5GD8+PHw8/ODn58fxo8fj9zc3CofM2nSJCgUCqOfTp06OSZgG7HFt/yoqCiMGzfO6vkaRUdbSNLQeZbS1ZaaS09Pxx9//IGBAwfa5PlEyJswzXLs2LE4ffo0du3ahV27duH06dMYP3682ccNGDAAaWlphp+dO3c6IFrb0Wq1Nnme5s2bo6SkxOwXjJrEVrmrbXQ6ndwhCKu21NytW7fQrVs3mw3MESFvQoyGvXjxInbt2oVjx44ZLij69ddfo3Pnzrh8+TIaN25c6WOVSiXCw8MdFarN2XLqsb179yI3NxeTJk2y2XPyjKZtI45WW2quXbt2Nn0+EfImxJZlYmIi/Pz8jK683alTJ/j5+eHo0aNVPnb//v0IDQ1Fo0aNMHXqVNy7d8/e4dqUm5ubzZ6rT58+uHLlClJSUmz2nDyzZe5qE9oNK11NrznGGJYvX46bN2/a9HlFyJsQzTI9PR2hoaEVbg8NDUV6enqljxs4cCDWr1+PvXv34uOPPzbMMqFSqSp9jEqlQn5+vtGPnGwx0kzPx8cHvXv3xtatW2vFrjZb5q42oQE+0tX0mvvzzz9x7949m++tEyFvsjbLefPmVRiA8+DPqVOnANy/sPGDGGMmb9cbM2YMBg8ejObNm2Po0KH43//+hytXrmDHjh2VPua9994zDCLy8/NDVFQUgPvzZWZlZUGn0xnOCcrMzIRarUZubi5KSkpQWFiIgoICqFQqZGdnQ6vVGi2r1WqRk5OD0tJSFBQUoLCwEKWlpcjJyYFGozFaVqfTITs7Gx4eHsjPz0dRURFKSkqQl5cHtVpttCxjDFlZWVCr1cjLy0NxcTGKi4uRn59fIe6ePXuiXr16UKlU1Ypbf/yzsrjLysoMcRcXFxvFzRgz+rd83EVFRYa4s7OzK+Rbo9FUiFufwwfj9vb2RnZ2NlQqlUVxZ2VlGeLW51Afd1ZWliHe8n/7vLw8lJSUGOLW59BU3Pocmotbq9VWGveDf3upcetzaCpu/Rcpc3E/mMPycZevWVNx62u2rKzMqGbz8vIMNWtN3A/msHzclq5r1sRd2bqm1Wod/hnxYNzV/YyobF3LyMjATz/9hG7dusHJycmmnxFubm6yfEZYc6xUwWTcWZyZmWn2ZNT69etjw4YNmDNnToXBKf7+/li8eDGeeuopi18zNjYWTz/9NF555RWT96tUKqMtz/z8fERFRSEvLw++vr4Wv46tZGZm2mV2C/2J5zV5thZ75a6mmz59Or788ku5wxBSTa65M2fO4OjRo5g2bVqVGylSyJW3/Px8+Pn5WfT5LusAn+DgYIsS1LlzZ+Tl5eHEiRPo0KEDAOD48ePIy8tDly5dLH69rKws3Lx5ExEREZUuo1QquRrGbK8C2rZtG9zc3PDoo4/a5fl5UFM/tOytJn+BsreaXHMtW7ZE8+bNbd4oATHyJsQxyyZNmmDAgAGYOnUqjh07hmPHjmHq1KkYMmSI0UjYuLg4bN26FcD9k1xfeuklJCYmIiUlBfv378fQoUMRHByMESNGyPVWrGavaaASEhJw6tQp3Lp1yy7PzwMRptDiEU13J11NrDnGGL799lvcvn0bTk72aRki5E2IZgkA69evR4sWLZCQkICEhAS0bNkS3377rdEyly9fNsxS4+zsjLNnz2L48OFo1KgRJk6ciEaNGiExMRE+Pj5yvAVJ7HXpmqCgIPTs2RObN2+usYN9RLjsD4942rMimppYc6dOncKNGzcQEhJit9cQIW9CnGcJAIGBgVi3bl2Vy5Q//Orh4YFff/3V3mHZXX5+vt0KqU+fPtBoNFCr1TXyA9KeuavJ6OLP0tW0misqKsIvv/yC0aNH2/X0DhHyJsyWZW1lz+NHLi4uGDx4MBQKheynyNgDHXuTxsVFmO/Q3KlpNXfmzBnExMSgWbNmdn0dEfJGzZJzjjjnbf/+/fj222+FmEXDGnS+oDQ1dbe8I9S0muvcuTPGjx9vl0E95YmQN2qWnLN3kQJAjx49kJeXh8TERLu/liM5IneElFdTaq6oqAhLly5FYWGhQ2Z0EiFv1Cw554hCVSqVGD16NHbs2IHs7Gy7v56j0LRt0thrxGNtUFNqbuvWrfD29rbJ5bcsIULeaK3gXFVT89lSbGwsBg8eXKOOVzkqdzWNCFeA4FVNqLkzZ87gypUrePTRRx22xSdC3qhZcs7b29thr9WlSxd4eXnh77//dthr2pMjc1eTuLq6yh2CsGpCzV24cAEjRoxw6Cl2IuSNmiXnHH39yYyMDKxYsQI3btxw6OvaQ226dqctifAtn1ci15xOp4NGo8GYMWPQpk0bh762CHmjZsk5R08DFR4ejv79+2PDhg0oLS116GvbmghTaPFIhGH8vBK55vbu3Yvvv/9elsE2IuSNmiXn5JgGqkePHggMDMT27dsd/tq2JMIUWjyi6e6kE7XmUlJS8Pvvv6NXr16yvL4Ieas5ozlqqMDAQIe/pkKhwBNPPCH8lqUcuasJ3N3d5Q5BWCLWXElJCdatW4dBgwahTp06ssQgQt5oy5Jzcu3L9/X1RWhoKI4ePYrbt2/LEkN1iXAchEd0zFI6EWtOpVKhTZs26Natm2wxiJA3apack3uUWHFxMdauXSvkrjm5cycqGg0rnWg1l5KSAj8/P8O0l3IRIW/ULDkn967QPn36IDw8HBs2bBBuOjy5cycqOs9SOpFq7uLFi1i+fDmysrLkDkWIvFGz5JzcM1voj19mZmYKdzqJ3LkTlQhTj/FKlJrLzMzEhg0bMHr0aC5GooqQNxrgwzkePrg8PDzw4osvwsXFBRqNRphZfnjIHaldRKg5xhjWrVuHDh06OPx8ysqIkDfasuQcL7Pxu7i4oLi4GO+9954wA354yZ1o6Koj0olQcwqFAmPGjMHgwYPlDsVAhLxRs+Scp6en3CEYeHp6olu3bli5ciXy8vLkDscsnnInEhrgIx3vNbdr1y5cuHABERERXE2Yz3veAGqW3OOtKfXs2RNxcXFYtWoVysrK5A6nSrzlThR06oh0PNfc0aNHcfToUYSGhsodSgU8502PmiXngoKC5A7BiEKhwKOPPor4+HjuD8rzljtR0KQE0vFacxcvXsT27dsxefJkLgb0PIjXvJVHzZJzPAzrfpCzszMefvhhlJWV4fDhw9yeUsJj7kQgwjB+XvFac7dv38aYMWNQv359uUMxide8lSfGsMZajOdvXCUlJdi7dy9KSkrQr18/ucOpgOfc8Yy2LKXjreays7Ph5OSEvn37yh1KlXjLmym0Zck5nr9xBQYG4plnnsHBgwdx5MgRucOpgOfc8Yy2LKXjqeby8/Px1Vdf4cSJE3KHYhZPeasMNUvO+fn5yR1ClcLDw/H000/jxIkT0Gg0codjhPfc8UqpVModgrB4qbmioiJ89dVXeOihh7jc6/MgXvJWFWqWnCsuLpY7BLOio6Mxa9YsODs7c3WpHRFyxyMRznnjFS81t3PnToSFhWH06NFCnPDPS96qQs2Sc6Kc86ZQKHDnzh0sWrQIV65ckTscAOLkjjc8nX8nGrlrTq1WQ6fTYdiwYRg3bpwwf0u582YJMTJZi/E60tSUOnXqYNSoUVizZg0XDVOk3JGaQc6aU6vVWLVqFfbu3QulUsn9qV3libCuUrPknGhXgGjbti1Gjx6Nb7/9VvZdK6LljhcifHDxSq6aU6lUWLFiBbRaLbp37y5LDNUhwrpKp45wTsRh/G3atEGDBg3g6ekJlUol24AREXPHA5G2SHgjV82tW7cOTk5OeOqpp+Dm5iZLDNUhwrpKW5acKywslDsESXx9fQ0Tr1+8eFGWGETNndxogI90jq45/aT3gwYNwuTJk4VslIAY6yo1S875+/vLHYJknp6eGDlyJL755hv88ccfDn99kXMnJzp1RDpH1lxRURE+++wz/P3334iIiBBikExlRFhXqVlyLjs7W+4QqqVly5Z46qmnsGXLFly7ds2hry167uRCkxJI56iay87OxtKlSxEQEMDtFHbWEGFdpWOWnONx0mNrNWrUCLNmzUJwcDBKS0uhVCodcu5XTcidHDw8POQOQViOqLni4mIsXboULVq0wPDhw4U5PaQqIqyr4me5huPpJP/qCAkJgUKhwPfff48ff/zRIRcYrim5c7SSkhK5QxCWvWtOq9XC09MT48aNwyOPPFIjGiUgxrpaMzJdg4mwL98aI0aMQEpKClavXm333X01LXeOQscspbNnzSUlJeHjjz+GVqtFgwYNhJiZx1IirKvULDknwigxa/j5+WHGjBnQarX48ccf7fpaNS13jkKjYaWzR80xxvDbb7/hxx9/xLBhw2rkqT0irKt0zJJzNfFbvoeHB55++mkUFxeDMYaMjAy7XL29JubOEWrih7Gj2KPmDh48iGPHjuH5559HZGSkzZ+fByKsq7RlyTkRZraQwsnJCd7e3rh58yYWL16MP//80+avUVNzZ2+OOJ5cU9my5vLy8qBWq9GxY0fMmjWrxjZKQIx1lZol52r61GP16tUznFqyY8cOm35Q1/TcEf7YquZu3LiBJUuWICkpCe7u7vD29rbJ8/JKhHWVmiXnRD7R2FKNGjXCCy+8gCtXruDu3bs2e97akDt7qCkjLOVQ3ZpjjOH48eNYtmwZ+vTpg/bt29soMr6JsK7SMUvOlZSUCDFvYnWFhIRg1qxZUCgUOHv2LLy9vRETE1Ot56wtubM13i7iLZLq1lxJSQkOHTqEKVOmoGHDhjaMjG8irKv0FZJzvr6+cofgMPqh8MXFxVi+fDkOHDhQrd0ztSl3tiTq/KI8kFpz6enpSExMhKenJ1588cVa1SgBMdZVapacy8nJkTsEh+vYsSOmT5+OQ4cOYe3atZKPY9bG3NmCSqWSOwRhSam5kydP4tNPP0VBQQEA1KjzJy0lwrpKu2E5J8I0UPZQr149zJkzBxcuXICTkxNKSkqsnoattuauumi6O+msrbnNmzfj7NmzmDRpEho1amSnqPgnwrpKW5acE2EaKHvx9PREu3btoNPp8Omnn2Lbtm1WnTBfm3NXHTTdnXSW1lx+fj4AoGnTppgzZ06tbpSAGOsqNUvOBQQEyB2C7JycnDBlyhSkpqbik08+wZ07dyx6HOVOGhFOEOeVuZpTq9XYtm0bFi1ahLKyMjRp0kSI43X2JsK6Ss2Sc3l5eXKHwIXg4GA8//zzaNmyJQ4fPmzRYyh30pSVlckdgrCqqjn9BBw3b97EjBkzaCBVOSKsq3TMknNeXl5yh8ANZ2dnJCQkgDEGtVqN9evXo3fv3qhXr57J5Sl30ohwzhuvTNUcYwwKhQJXrlxBfHw8evXqReeyPkCEdZX+Ypyjb/kVKRQKODk5oW7duvjyyy/x888/m8wT5U4aEaYe49WDNXfp0iUsXrwYBQUF6NOnD/r06UON0gQR1lX6q3GuNg4jt4SzszP69u2L2bNnIzU1Fdu2bauwDOWOOJq+5goKCrBu3TqsW7cOnTt3rvHT1VWXCOsq7YblHF0BomqhoaF4/vnnoVKpoNPpsH37dnTr1g1BQUGUO4loy0c6fc3pJ9R4+eWXaQCPBURYV2mt4BydIG6eQqGAu7s71Go11Go1PvroI/zvf/8znORNrEO7YaW5du0ali1bhtLSUgwaNAjjx4+nRmkhET7naMuSc7T7xnJKpRKjRo1Cp06dsHXrVty9exeTJk2SOyzh0AAf62RmZmL79u34+++/0bt3b7i6utLWuZVE+JyjvyjncnNz5Q5BOHXr1sWMGTPQu3dvMMawZcsWXLt2Te6whCHCt3we6Oct3rdvH3x8fPDqq6+iZcuWQuxS5I0In3O0Zck5EaaB4pFCoUC9evWg0+ng7++PNWvWIDo6GoMGDUKdOnXkDo9rNN1d1VQqFQ4dOoSzZ89i5syZGDVqlGGAighbSDwS4XOOtiw5J8I0ULzKzMyEk5MTevfujddffx0RERHYsmULGGNCXGxWLjTdnWmMMRw4cADvvvsuLl68iKFDh8LZ2dloJCetr9KIkDfasuRcYGCg3CEIq3zuPD09MWTIEMMJ4t988w1cXV3Ru3dvhIWFyRglf3i/rqCjaTQa5OfnIzAwEAUFBRgzZgyaNGli8nQHWl+lESFvtGXJOREuXcMrU7nTf8ANHjwYLi4uWLx4MdauXYvCwkJHh8et0tJSuUPgQmlpKfbv3493330XO3bsAAAMGTIETZs2rfS8QFpfpREhb7RlyTkfHx+5QxBWVbkLCgrC6NGjkZCQgMTERHh4eCAnJwc5OTmIiYkR4iRpe6E5S4GsrCwsXrwY4eHhePTRR9G0aVOLHkfrqzQi5I2aJedKS0vpw0siS3Ln5+eHAQMGAADu3LmD7777DkFBQejevTtat24NF5fat4rU1vMs09PTceTIEcTHxyM6OhrPPPNMpfMOV4bWV2lEyFvt+yQQTG38sLYVa3PXrFkzvPnmm/jjjz+wb98+FBYWomfPnlCpVLXqslW1bav66tWr+O2333Djxg20bt0a3t7ehtHU1qL1VRoR8sZ/hIQ4kFKpRJcuXdC5c2fodDqUlZVhwYIFaNSoETp27IjY2Nha10xqory8PPz9999o27YtSktLERcXhwkTJghx9QsiD2qWnFOr1XKHIKzq5E6hUMDZ2RnOzs6YNWsWEhMT8d1338HT0xMvvfSSYZmaSKfTyR2CXWi1Wpw7dw6nTp3ClStXEBcXh9atW6NFixY2ew1aX6URIW/ULDnn6ekpdwjCslXugoKCMGTIEAwcOBB3796FQqHA3r17cenSJbRv3x4tWrSoUadb1KTp7hhjuHHjBnx9feHn54dDhw4hLi4OI0aMsMvpCrS+SiNC3qhZci4/Px9BQUFyhyEkW+fO2dkZkZGRAIAOHTrA1dUVhw4dwubNmzF69GjEx8dDq9UKP91ZTZjuLj09HUlJSTh9+jSKi4sxevRoBAYGYsaMGXZ9XVpfpREhb9QsOSfCybq8smfuvL290b17d3Tv3h0ZGRlwc3ODTqfDO++8g7p166JVq1Zo2rSpkFPHibiVrNPpkJKSgqysLLRv3x7Xrl1DdnY2hgwZgiZNmjhsAAmtr9KIkDdqlpzLysoSYt5EHjkqdyEhIYb/T58+HX/99RcOHDiATZs2Yf78+dBqtcjJyUFkZKQQxzlFmpQgPz8fu3btwoULF8AYQ9u2bQEA3bp1Q7du3RweD62v0oiQN2qWnOO9gHgmR+5CQkLQt29f9O3bF4WFhVAqlbhy5QrWrl0LNzc3xMXFoVWrVoiLi3N4bJbidWtYq9UiNTUVly9fxuXLlzF+/Hh4eXnB09MT48ePR0xMjOyXxqL1VRoR8kbNknOZmZlCFBKP5M6d/goUjRo1wttvv43k5GRcunQJN2/eRFxcHPbt24eMjAw89NBDiImJQWBgIBdbnrxMpF5aWorU1FT4+voiPDwcn3zyCfLz89GoUSN07doVnp6eUCqVGDJkiNyhGshdc6ISIW/CNMt33nkHO3bswOnTp+Hm5mbR9c8YY5g/fz6WL1+OnJwcdOzYEZ9//jmaNWtm/4BtxM/PT+4QhMVT7pydndGwYUM0bNjQcFtMTAyKi4uRmJiITZs24ZFHHkHnzp1x8uRJ+Pj4oE6dOrJMAybHBAwajQbFxcXw9fXFiRMncPjwYaSlpSEgIAADBgxAeHg4pkyZAl9fXy6+UFSGp5oTiQh5E6ZZlpWVYfTo0ejcuTNWrlxp0WMWLlyIRYsWYc2aNWjUqBEWLFiAfv364fLly0LMRQgAxcXFQhQSj3jPXf369VG/fn0A988z05/fmJycjOTkZGRkZMDX1xfTpk1DSEgITp8+jZCQEISGhtq1odnznDfGGAoLC+Hj44Nbt27h8OHDuH37Nu7evYvGjRtjypQpCAoKQp8+fRATEwNfX1/DY3n+W+rxXnO8EiFvwjTL+fPnAwDWrFlj0fKMMSxZsgRvvPEGRo4cCQBYu3YtwsLCsGHDBkybNs1eodoU7/Ml8kyk3JU/t/Gxxx4DcH835J07dxAYGIiSkhIcPXoU9+7dQ3FxMfz9/fH6668jNzcXf/31F/z9/eHn54eAgAAEBARUK5bqnPrCGENRURHy8/MNu0zz8/OxdetWZGZmIisrC0qlEvPnz4eTkxMCAwPRvHlzREZGGuJu0KBBteKXk0g1xxMR8iZMs7RWcnIy0tPTkZCQYLhNqVSiR48eOHr0aKXNUqVSGZ1nlp+fb/dYq1JTZ1NxBNFz5+7ujoceegjA/WaqP0ewqKgI2dnZcHJyQllZGW7fvo0LFy4gNzcXnp6emD17NpKSkrBv3z54enrC09MTMTEx6N69O1JSUpCWlgY3Nze4uLggJCQEkZGRuHv3LkpKSuDk5IT8/Hzk5eXBz88PqampKC4uNkz9V69ePQQGBmLfvn3Iy8tDaWkpSkpKMGTIEAQGBuL111+HVquFh4cHfH198dxzz0GpVKJhw4bo1KkTgoODDacJREZGGs5brSlErzm5iJC3Gtss09PTAaDChX3DwsJw48aNSh/33nvvGbZiyysrK0NWVhYCAgKQnZ2N4OBgZGZmws/PD0VFRVAqldBqtWCMwc3NDUVFRfDz80NOTo5h2YCAAOTn58PDwwNqtRoKhQIuLi4oKSmBj48PcnNzDcsGBgYiNzcXOp3OcKK7/sPR09MTeXl5hmWDgoKQnZ0NX19fFBcXG7ZSNBoN3N3dUVBQUCFuf39/w2hNKXE7OztDpVLB29vbZNze3t4oLS01XElerVYb4g4KCkJWVpbhXz8/P0PcjDFotVq4u7ujsLAQ/v7+ZuN2dXVFSUkJfH19jeLWx+jl5YWysjKzcefk5MDHxwelpaWG8/L0cesv/qsf4q7/2xcXFxvOsdRqtVAqlSgqKjIZd0FBATw8PKDRaKqMOyAgAHl5eSbj9vLyQklJCaKiopCZmYnQ0FAMHDjQELezszOKi4sRFBSE3r17G84B1Wg0AIBr167h77//RkFBARQKBZo2bQpvb28cPHgQSUlJcHNzw9mzZ3HhwgXExsbiwIEDSE5OhlKphLOzM/r06QNPT0/D87q4uCA2NhaFhYUIDAzEM888g7CwMOh0OkPNqlQqdOrUyWTN+vj4oKSkxFCzarUaHh4eKCgoMJlv/br2YL4frNny+bZ0XfPy8oJKpTKK28vLy6p1LSsrCx4eHg79jHgwbhE/I4qKiqDRaGT5jLCUgjHGLF7axubNm2eyMZV38uRJtGvXzvD7mjVrMGvWLLMDfI4ePYquXbvizp07iIiIMNw+depU3Lx5E7t27TL5OFNbllFRUcjLyzM6fuIote2KF7ZEuZPmhRdewCeffCJ3GEKimpNGrrzl5+fDz8/Pos93WbcsZ8yYgccff7zKZfQDIKwVHh4O4P4WZvlmee/evQpbm+UplUquil3/jZRYj3InjQiTWvOKak4aEfIma7MMDg6227k1MTExCA8Px549e9CmTRsA93elHjhwAB988IFdXtMe/P395Q5BWJQ7aXj/0OIZ1Zw0IuRN3ukurJCamorTp08jNTUVWq0Wp0+fxunTp1FYWGhYJi4uDlu3bgVw//JJs2bNwrvvvoutW7fi3LlzmDRpEjw9PTF27Fi53obVsrOz5Q5BWJQ7aUSa7o43VHPSiJA3YQb4vPXWW1i7dq3hd/3W4r59+9CzZ08AwOXLl5GXl2dY5uWXX0ZJSQmee+45w6QEu3fvFuYcS0CMaaB4RbmThtfp7kRANSeNCHmTdYCPCKw5AGwPIkwDxSvKnTTTp0/Hl19+KXcYQqKak0auvFnz+S7MbtjaSoR9+byi3ElDxyylo5qTRoS8UbPkXEFBgdwhCItyJ01ZWZncIQiLak4aEfJGzZJzdPxIOsqdNI66UHJNRDUnjQh5o2bJOf3MK8R6lDtpRJh6jFdUc9KIkDdqlpyj8VfSUe6Io1HNSSNC3qhZcq781SiIdSh30jg50ceCVFRz0oiQN1orOMfLVetFRLmTRoRdYryimpNGhLxRs+ScHOd21hSUO2lEuLYgr6jmpBEhb9QsOZeTkyN3CMKi3ElT/qo7xDpUc9KIkDdqlpyj2UCko9xJI8Iwfl5RzUkjQt6oWXIuMzNT7hCERbmTRoTjR7yimpNGhLxRs+RcQECA3CEIi3InDU13Jx3VnDQi5I2aJefKX0WFWIdyJw1Ndycd1Zw0IuSNmiXnvLy85A5BWJQ7aUQ4541XVHPSiJA3apaco2/50lHupNFqtXKHICyqOWlEyBs1S84pFAq5QxAW5Y44GtWcNCLkjZol55ydneUOQViUO2loujvpqOakESFvtFZwjk4Ql45yJw3thpWOak4aEfJGzZJzIhz45hXlThoa4CMd1Zw0IuSNmiXnRBhSzSvKnTQifMvnFdWcNCLkjZol50SYBopXlDtpaLo76ajmpBEhb9QsOSfCNFC8otxJQ9PdSUc1J40IeaNmybnAwEC5QxAW5U4ad3d3uUMQFtWcNCLkjZol50S4dA2vKHfSlJaWyh2CsKjmpBEhby5yB8A7xhgAID8/X7bXl+u1RUe5k4byJh3lThq58qZ/Tf3nfFUUzJKlarFbt24hKipK7jAIIYTYyc2bN1G3bt0ql6FmaYZOp8OdO3fg4+Pj8CmZ8vPzERUVhZs3b8LX19ehry06yp00lDfpKHfSyJk3xhgKCgoQGRlpduYq2g1rhpOTk9lvHPbm6+tLK59ElDtpKG/SUe6kkStvfn5+Fi1HA3wIIYQQM6hZEkIIIWZQs+SYUqnE3LlzoVQq5Q5FOJQ7aShv0lHupBElbzTAhxBCCDGDtiwJIYQQM6hZEkIIIWZQsySEEELMoGbJmXfeeQddunSBp6cn/P39LXoMYwzz5s1DZGQkPDw80LNnT5w/f96+gXImJycH48ePh5+fH/z8/DB+/Hjk5uZW+ZhJkyZBoVAY/XTq1MkxAcvoiy++QExMDNzd3REfH49Dhw5VufyBAwcQHx8Pd3d3PPTQQ1i2bJmDIuWLNXnbv39/hdpSKBS4dOmSAyPmw8GDBzF06FBERkZCoVBg27ZtZh/DY81Rs+RMWVkZRo8ejenTp1v8mIULF2LRokVYunQpTp48ifDwcPTr1w8FBQV2jJQvY8eOxenTp7Fr1y7s2rULp0+fxvjx480+bsCAAUhLSzP87Ny50wHRymfjxo2YNWsW3njjDSQlJaF79+4YOHAgUlNTTS6fnJyMQYMGoXv37khKSsLrr7+OmTNnYvPmzQ6OXF7W5k3v8uXLRvUVGxvroIj5UVRUhFatWmHp0qUWLc9tzTHCpdWrVzM/Pz+zy+l0OhYeHs7ef/99w22lpaXMz8+PLVu2zI4R8uPChQsMADt27JjhtsTERAaAXbp0qdLHTZw4kQ0fPtwBEfKjQ4cO7NlnnzW6LS4ujr366qsml3/55ZdZXFyc0W3Tpk1jnTp1sluMPLI2b/v27WMAWE5OjgOiEwcAtnXr1iqX4bXmaMtScMnJyUhPT0dCQoLhNqVSiR49euDo0aMyRuY4iYmJ8PPzQ8eOHQ23derUCX5+fmZzsH//foSGhqJRo0aYOnUq7t27Z+9wZVNWVoY//vjDqFYAICEhodI8JSYmVli+f//+OHXqFNRqtd1i5YmUvOm1adMGERER6NOnD/bt22fPMGsMXmuOmqXg0tPTAQBhYWFGt4eFhRnuq+nS09MRGhpa4fbQ0NAqczBw4ECsX78ee/fuxccff4yTJ0+id+/eUKlU9gxXNpmZmdBqtVbVSnp6usnlNRqNEFe3twUpeYuIiMDy5cuxefNmbNmyBY0bN0afPn1w8OBBR4QsNF5rjiZSd4B58+Zh/vz5VS5z8uRJtGvXTvJrPHhFFMaYw6+SYmuW5g2o+P4B8zkYM2aM4f/NmzdHu3btEB0djR07dmDkyJESo+aftbVianlTt9d01uStcePGaNy4seH3zp074+bNm/joo4/w8MMP2zXOmoDHmqNm6QAzZszA448/XuUy9evXl/Tc4eHhAO5/G4uIiDDcfu/evQrfzkRjad7OnDmDu3fvVrgvIyPDqhxEREQgOjoaV69etTpWEQQHB8PZ2bnC1lBVtRIeHm5yeRcXFwQFBdktVp5IyZspnTp1wrp162wdXo3Da81Rs3SA4OBgBAcH2+W5Y2JiEB4ejj179qBNmzYA7h9jOXDgAD744AO7vKajWJq3zp07Iy8vDydOnECHDh0AAMePH0deXh66dOli8etlZWXh5s2bRl86ahI3NzfEx8djz549GDFihOH2PXv2YPjw4SYf07lzZ2zfvt3ott27d6Ndu3ZwdXW1a7y8kJI3U5KSkmpsbdkStzUn5+giUtGNGzdYUlISmz9/PvP29mZJSUksKSmJFRQUGJZp3Lgx27Jli+H3999/n/n5+bEtW7aws2fPsieeeIJFRESw/Px8Od6CLAYMGMBatmzJEhMTWWJiImvRogUbMmSI0TLl81ZQUMBefPFFdvToUZacnMz27dvHOnfuzOrUqVOj8/b9998zV1dXtnLlSnbhwgU2a9Ys5uXlxVJSUhhjjL366qts/PjxhuWvX7/OPD092ezZs9mFCxfYypUrmaurK/vxxx/leguysDZvixcvZlu3bmVXrlxh586dY6+++ioDwDZv3izXW5BNQUGB4XMMAFu0aBFLSkpiN27cYIyJU3PULDkzceJEBqDCz759+wzLAGCrV682/K7T6djcuXNZeHg4UyqV7OGHH2Znz551fPAyysrKYuPGjWM+Pj7Mx8eHjRs3rsKw/fJ5Ky4uZgkJCSwkJIS5urqyevXqsYkTJ7LU1FTHB+9gn3/+OYuOjmZubm6sbdu27MCBA4b7Jk6cyHr06GG0/P79+1mbNm2Ym5sbq1+/Pvvyyy8dHDEfrMnbBx98wBo0aMDc3d1ZQEAA69atG9uxY4cMUctPfxrNgz8TJ05kjIlTc3TVEUIIIcQMOnWEEEIIMYOaJSGEEGIGNUtCCCHEDGqWhBBCiBnULAkhhBAzqFkSQgghZlCzJIQQQsygZkkIIYSYQc2SEFIt8+bNQ+vWreUOgxC7omZJSA02adIkKBQKKBQKuLi4oF69epg+fTpycnLkDo0QoVCzJKSGGzBgANLS0pCSkoIVK1Zg+/bteO655+QOixChULMkpIZTKpUIDw9H3bp1kZCQgDFjxmD37t2G+1evXo0mTZrA3d0dcXFx+OKLL4we/8orr6BRo0bw9PTEQw89hDfffBNqtdrRb4MQWdH1LAmpRa5fv45du3YZrgv49ddfY+7cuVi6dCnatGmDpKQkTJ06FV5eXpg4cSIAwMfHB2vWrEFkZCTOnj2LqVOnwsfHBy+//LKcb4UQh6JmSUgN98svv8Db2xtarRalpaUAgEWLFgEA/vvf/+Ljjz/GyJEjAdy/mPiFCxfw1VdfGZrlf/7zH8Nz1a9fHy+++CI2btxIzZLUKtQsCanhevXqhS+//BLFxcVYsWIFrly5gn/961/IyMjAzZs3MWXKFEydOtWwvEajgZ+fn+H3H3/8EUuWLMG1a9dQWFgIjUYDX19fOd4KIbKhY5aE1HBeXl5o2LAhWrZsiU8//RQqlQrz58+HTqcDcH9X7OnTpw0/586dw7FjxwAAx44dw+OPP46BAwfil19+QVJSEt544w2UlZXJ+ZYIcTjasiSklpk7dy4GDhyI6dOno06dOrh+/TrGjRtnctkjR44gOjoab7zxhuG2GzduOCpUQrhBzZKQWqZnz55o1qwZ3n33XcybNw8zZ86Er68vBg4cCJVKhVOnTiEnJwdz5sxBw4YNkZqaiu+//x7t27fHjh07sHXrVrnfAiEOR7thCamF5syZg6+//hr9+/fHihUrsGbNGrRo0QI9evTAmjVrEBMTAwAYPnw4Zs+ejRkzZqB169Y4evQo3nzzTZmjJ8TxFIwxJncQhBBCCM9oy5IQQggxg5olIYQQYgY1S0IIIcQMapaEEEKIGdQsCSGEEDOoWRJCCCFmULMkhBBCzKBmSQghhJhBzZIQQggxg5olIYQQYgY1S0IIIcQMapaEEEKIGf8HKRvO8dBxiBIAAAAASUVORK5CYII=" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 7 }, { "cell_type": "markdown", "id": "d6e7f8a9", "metadata": {}, "source": "## Step 4 — Validate the Model\n\nA well-fitted ARIMA model should leave **white residuals**. We check this in three ways:\n\n1. **Theoretical ACF** — `partoacf_pmod` computes the exact autocovariance function of the fitted ARMA part using the Yule-Walker method. We compare it against the experimental ACF of $\\nabla y$ from Step 2.\n2. **Residual ACF** — plot the ACF, PACF, and GPAC of the residuals with `uniAnal`. All values should fall within the 95% confidence bounds.\n3. **Statistical test** — `uniChi` performs the portmanteau chi-square test on the residuals. A p-value > 0.05 indicates an adequate model." }, { "cell_type": "markdown", "id": "e7f8a9b0", "metadata": {}, "source": "### Check 1 — Theoretical vs Experimental ACF\n\n`partoacf_pmod` uses the fitted ARMA polynomials $D(q)$ and $C(q)$ together with the noise variance to compute the theoretical autocovariance function of the stationary part of the model. Close agreement with the experimental ACF of $\\nabla y$ confirms that the model has captured the correlation structure of the differenced series." }, { "cell_type": "code", "id": "f8a9b0c1", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:48:57.699018Z", "start_time": "2026-06-09T18:48:57.616317Z" } }, "source": "# Noise variance estimate from one-step prediction errors on the differenced series\nvar_e, _ = pmodmse(pmod, dy)\n\n# Theoretical autocovariance function from the fitted ARMA part\nlagmax = 21\nacf_theory, _, _ = partoacf_pmod(pmod, var_e, lagmax)\n\n# Experimental ACF of nabla y from Step 2 (na=20 -> center index is 20)\nacf_exp = acf_dy.squeeze()[20:20 + lagmax]\n\n# Normalize both to lag-0 = 1 for a shape comparison\nacf_theory_norm = acf_theory / acf_theory[0]\nacf_exp_norm = acf_exp / acf_exp[0]\n\nlags = np.arange(lagmax)\nfig, ax = plt.subplots(figsize=(10, 4))\nax.stem(lags, acf_exp_norm, linefmt='C0-', markerfmt='C0o', basefmt='k-', label='Experimental (∇y)')\nax.plot(lags, acf_theory_norm, 'r-o', markersize=5, linewidth=1.5, label='Theoretical (ARIMA fit)')\nax.set_title('ACF of ∇y: Experimental vs Theoretical')\nax.set_xlabel('Lag')\nax.set_ylabel('Normalized autocovariance')\nax.legend()\nplt.tight_layout()\nplt.show()", "outputs": [ { "data": { "text/plain": [ "
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bb72VZA89RESSAyXdIiLJ1OTJkzFNkx9//JEff/wx1vGpU6fy6aef4uHhQa1atRg9ejR//vlnkq7CnS5dOqKiojh9+rRT4m2aJidOnIg3UUuIRo0a0aVLFyZNmsTTTz/N7NmzadasWZxbjb3zzjt89913/PzzzyxatIigoKBYPctJITIykhYtWpA/f35OnjxJu3bt+Pnnn2O1i4qK4uzZs04J14kTJ4DbSVj69OkxDIPVq1c7ErE73V1nGEZi3kq8Ylbh/vHHH8mZM2eSX2/atGm0bNmSgQMHOtWfOXMm1lZVCdW6dWuGDBnCDz/8QJMmTZg/fz7dunVz6nFOlSoV/fv3p3///pw8edLR612/fn327NnzMLfkkpjvu2/fvvEudligQAHA+rNz/PjxWMdjFg+8ewX1u//MxBwfPXp0vH9PxPcQ6F4yZMjAmjVrsNvt8Sbe8+bNIzIykjlz5jj9udq2bZvL1xMRSWmUdIuIJEPR0dFMnTqVvHnzMnHixFjHFyxYwLBhw/jtt9948cUX6d69O5MnT6Zz586xtgwDKymeN28eDRs2fKi4atSoweDBg5k2bRrdu3d31P/0009ERkZSo0aNBz63r68vzZs3Z9KkSZQsWZLIyMhYC3zFKF26NBUrVuSLL75g586ddOjQweXeuQfRqVMnDh8+zF9//cWePXt49dVXGTFihNN3EWP69OlOPeHff/89cHuf6hdffJHPP/+co0eP0rhx4ySPPaFq1aqFp6cn+/fvjzU8+UHd3bt7J8MwYj1g+PXXXzl69Cj58uV7oOsVKlSI8uXLExYWRnR0NDdu3KB169bxts+UKROhoaFs376dkSNHOrZjexQKFChASEgI27dvj/Xg4W41atRg7ty5HDt2zNG7DfDtt9/i7+9/3wdulSpVIigoiN27d993K797/c7uVqdOHWbMmMGUKVPiHWIe8wDgzt+1aZpO00RERB5XSrpFRJKh3377jWPHjvHFF1/E2poHoGjRoowZM4ZJkybx4osvkjt3bkevXsmSJXn77bcdewrv3r3b0Wv+sEn3Cy+8QK1atXjvvfe4dOkSlSpVYseOHXz88ceUKlWKFi1aPNT527dvz+jRo3n//fcpXrw45cqVi7ftO++8Q5MmTTAMI9ZK3gMGDGDAgAEsXbo0QfO6L1y4EOc2Tj4+Po7vceLEiUybNo2wsDCKFClCkSJFePvtt3nvvfeoVKmSU6ze3t4MGzaMK1euULZsWdatW8enn35KnTp1ePbZZwErAerQoQOtW7dm06ZNVKlShVSpUnH8+HHWrFlDsWLFHPPXH6VcuXIxYMAAPvjgA/79919q165N2rRpOXnyJH/99Zejh9gVqVOnJmfOnPz888/UqFGD4OBg0qdPT65cuXjxxReZMmUKBQsWpHjx4mzevJkhQ4bw1FNPPdR9tGnTho4dO3Ls2DEqVqzo6C2OUb58eV588UWKFy9O2rRpCQ8P57vvvqNChQqPLOGO8fXXX1OnTh1q1apFaGgo2bJl49y5c4SHh7NlyxbHbgUff/wxCxYsoHr16nz00UcEBwczffp0fv31VwYPHhzndoF3CggIYPTo0bRq1Ypz587x6quvkjFjRk6fPs327ds5ffo048aNA6BYsWIAfPnll7Rq1QovLy8KFChA6tSpY523adOmhIWF0alTJ/bu3Uv16tWx2+1s2LCBQoUK8frrr/PCCy/g7e1N06ZN6d27N9evX2fcuHGcP38+kb9NEZFkyH1ruImISHxefvll09vb2zx16lS8bV5//XXT09PTPHHihKNu//79ZufOnc18+fKZPj4+pp+fn1m4cGGzR48eTqsQu7Ky+N2uXbtmvvfee2bOnDlNLy8vM0uWLOabb75pnj9/3qndg16jQoUKpoeHhzlmzJh7trtx44bp4+Nj1q5dO9axmFWlly9fft/r3Wv18mzZspmmaZo7duww/fz8zFatWjl99vr162bp0qXNXLlyOe4/5r537NhhVqtWzfTz8zODg4PNN99807xy5Uqs60+ePNksX768mSpVKtPPz8/Mmzev2bJlS3PTpk2ONlWrVjWLFCkSZ/zxrV4+ZMgQp3YxK1rPnj3bqT4sLMwEzI0bNzrVz5s3z6xevbqZJk0a08fHx8yZM6f56quvmn/88YejTXy/45jv/05//PGHWapUKdPHx8cEHN/l+fPnzbZt25oZM2Y0/f39zWeffdZcvXp1vPd1v9XLY1y8eNH08/OLd1XtPn36mGXKlDHTpk1r+vj4mHny5DG7d+9unjlzJkHnv/M+77V6+d2/B9M041zJffv27Wbjxo3NjBkzml5eXmbmzJnN5557zrFzQYy///7brF+/vhkYGGh6e3ubJUqUiPWdxPe7jrFy5UqzXr16ZnBwsOnl5WVmy5bNrFevXqz2ffv2NbNmzWrabDan/57u/t2YpvX3wkcffWSGhISY3t7eZrp06cznnnvOXLdunaPNL7/8YpYoUcL09fU1s2XLZr777rvmb7/9Fuu/Va1eLiKPG8M0/7dMrIiISAryyy+/0KBBA3799Vfq1q3r7nAcQkND+fHHH7ly5Yq7QxEREZFkQMPLRUQkRdm9ezeHDh2iZ8+elCxZkjp16rg7JBEREZF4aZ9uERFJUTp37kyDBg1ImzYtM2bMeGSreouIiIg8CA0vFxEREREREUki6ukWERERERERSSJKukVERERERESSiJJuERERERERkSTyxK1ebrfbOXbsGKlTp9biOyIiIiIiIvJATNPk8uXLZM2aFZst/v7sJy7pPnbsGNmzZ3d3GCIiIiIiIvIYOHLkCE899VS8x5+4pDt16tSA9cWkSZPGzdGIiIiIiIhISnTp0iWyZ8/uyDHj88Ql3TFDytOkSaOkW0RERERERB7K/aYtayE1ERERERERkSSipFtEREREREQkiSjpFhEREREREUkiT9ycbhERERGRJ1l0dDS3bt1ydxgiyZ6XlxceHh4PfR4l3SIiIiIiTwDTNDlx4gQXLlxwdygiKUZQUBCZM2e+72Jp96KkW0RERETkCRCTcGfMmBF/f/+HSiJEHnemaXL16lVOnToFQJYsWR74XEq6kyG73ST8qMmFKxAUAIWyGdhs+ktRRERERB5MdHS0I+FOly6du8MRSRH8/PwAOHXqFBkzZnzgoeZuXUht1apV1K9fn6xZs2IYBvPmzbvvZ1auXEnp0qXx9fUlT548jB8/PukDfYQ2RNjp9+keIkL7QrNmRIT2pd+ne9gQYXd3aCIiIiKSQsXM4fb393dzJCIpS8x/Mw+zDoJbe7ojIyMpUaIErVu3plGjRvdtf+DAAerWrUv79u2ZNm0aa9eupXPnzmTIkCFBn0/uNkTY2fJ/k+k3uyOmYYBpgmHQYPlQxu+eAJ+0pnyIFpwXERERkQejIeUirkmM/2bcmnTXqVOHOnXqJLj9+PHjyZEjByNHjgSgUKFCbNq0iaFDh6b4pNtuN/l1xl76ze6IzbSD+b8DpvWy06wO9C9aibLvF9BQcxERERERkRQiRXWbrl+/npo1azrV1apVi02bNsXb3X/jxg0uXbrkVJKj8KMmT6+cYvVw38UATMOg1PIwwo+asT8sIiIiIvKEOnjwIIZhsG3bNneH4pJcuXI5OhMTQ7Vq1ejWrdt921WpUoXvv/8+0a6bHFy9epVGjRqRJk0aDMPgwoULCfp+x4wZQ4MGDZI8vhSVdJ84cYJMmTI51WXKlImoqCjOnDkT52cGDRpEYGCgo2TPnv1RhOqyC1cgw7lD1pDyuJgmGc4d4sKVRxuXiIiIiIi7GIZxzxIaGuruEO9rypQpBAUFxarfuHEjHTp0eKSxLFiwgBMnTvD666/HOjZw4EA8PDz4/PPPYx2bMmWK0/eeKVMm6tevz65du5zahYaG8vLLLzu9NwyDTp06xTpn586d4/0drlu3Dg8PD2rXrp2g+5o6dSqrV69m3bp1HD9+nMDAwFjfb1xriLVv356NGzeyZs2aBF3nQaWopBtij6k3/5ekxjfWvm/fvly8eNFRjhw5kuQxPoigADgdnBPimzNgGJwOzklQwKONS0RERETESUQE9O0LTZtaPyMikuxSx48fd5SRI0eSJk0ap7ovv/wyya59P9HR0djtD77YcYYMGR75wnajRo2idevW2Gyx08CwsDB69+7N5MmT4/xszHd/7Ngxfv31VyIjI6lXrx43b9685zWzZ8/ODz/8wLVr1xx1169fZ8aMGeTIkSPOz0yePJkuXbqwZs0aDh8+fN/72r9/P4UKFaJo0aKOPbUT8v36+PjQrFkzRo8efd9rPIwUlXRnzpyZEydOONWdOnUKT0/PeLc+8PHxIU2aNE4lOSqUzWBL1VAM0+Tuvm4TMEw7W6u3plA2zecWERERETcJC4OCBWHIEJg1y/pZsCBMmZIkl8ucObOjBAYGYhhGrLoY//77L9WrV8ff358SJUqwfv16p3OtW7eOKlWq4OfnR/bs2enatSuRkZGO4+fPn6dly5akTZsWf39/6tSpQ8QdDxRieqwXLFhA4cKF8fHx4dChQ9y8eZPevXuTLVs2UqVKRfny5VmxYgUAK1asoHXr1ly8eNHRS9yvXz8g9vDyCxcu0KFDBzJlyoSvry9FixZlwYIFAJw9e5amTZvy1FNP4e/vT7FixZgxY4ZL3+WZM2f4448/4hxOvXLlSq5du8aAAQOIjIxk1apVsdrEfPdZsmShTJkydO/enUOHDrF37957Xvfpp58mR44czJkzx1E3Z84csmfPTqlSpWK1j4yMZNasWbz55pu8+OKLTLnPn61q1aoxbNgwVq1ahWEYVKtWDXD+fnPlygVAw4YNMQzD8R6gQYMGzJs3z+mhQGJLUUl3hQoVWLJkiVPd77//TpkyZfDy8nJTVInDZjOo17QA4xtPwDRsRNs8iDZs2DEwgFsePrxS1tQiaiIiIiKSOEwTIiMTXrZvh3btwG6H6Gjnn23bwo4dCT9XfFMqH8IHH3xAr1692LZtG/nz56dp06ZERUUB8Pfff1OrVi1eeeUVduzYwcyZM1mzZg1vv/224/OhoaFs2rSJ+fPns379ekzTpG7duk5rR129epVBgwYxceJEdu3aRcaMGWndujVr167lhx9+YMeOHbz22mvUrl2biIgIKlasGKuHvlevXrFit9vt1KlTh3Xr1jFt2jR2797N559/7tgX+vr165QuXZoFCxawc+dOOnToQIsWLdiwYUOCv581a9bg7+9PoUKFYh2bNGkSTZs2xcvLi6ZNmzJp0qR7nuvChQuOeeEJycNat25NWFiY4/3kyZNp06ZNnG1nzpxJgQIFKFCgAM2bNycsLMwxujkuc+bMoX379lSoUIHjx487JfcxNm7cCFi9+cePH3e8ByhTpgy3bt3ir7/+uu99PCi3rl5+5coV9u3b53h/4MABtm3bRnBwMDly5KBv374cPXqUb7/9FoBOnToxZswYevToQfv27Vm/fj2TJk1y+SlPclU+xAaftObjIpUovSKMDOcOcSboKUr+u5ych7dQotsrsGEDJNPeehERERFJQa5ehYBEmrtot0OJEglvf+UKpEqVONf+n169elGvXj0A+vfvT5EiRdi3bx8FCxZkyJAhNGvWzLHQWEhICKNGjaJq1aqMGzeOI0eOMH/+fNauXUvFihUBmD59OtmzZ2fevHm89tprgLVX89ixYynxv3vdv38/M2bM4L///iNr1qyOOBYtWkRYWBgDBw506qGPzx9//MFff/1FeHg4+fPnByBPnjyO49myZXNK1rt06cKiRYuYPXs25cuXT9D3c/DgQTJlyhRraPmlS5f46aefWLduHQDNmzenUqVKjB492mmU8MWLFwkICMA0Ta5evQpYvcQFCxa877VbtGhB3759HYvexTykiBkRcKdJkybRvHlzAGrXrs2VK1dYunQpzz//fJznDg4Oxt/fH29v73i/4wwZMgAQFBQUq02qVKkICgri4MGDVK1a9b738iDcmnRv2rSJ6tWrO9736NEDgFatWjFlyhSOHz/uNIY/d+7cLFy4kO7du/PVV1+RNWtWRo0aleK3C7tT+RAbxXrnp7X/ZwD0ecVGdt9TULYM7NkDLVvCnDkQxzwMEREREZEnVfHixR2vs2TJAlhTUQsWLMjmzZvZt28f06dPd7QxTRO73c6BAweIiIjA09PTKYFNly4dBQoUIDw83FHn7e3tdJ0tW7ZgmqYjUY5x48aNeKe/xmXbtm089dRTsc4TIzo6ms8//5yZM2dy9OhRbty4wY0bN0jlwoOLa9eu4evrG6v++++/J0+ePI4HCSVLliRPnjz88MMPTguRpU6dmi1bthAVFcXKlSsZMmQI48ePT9C106dPT7169Zg6dSqmaVKvXj3Sp08fq93evXv566+/HL3Vnp6eNGnShMmTJ8ebdCcGPz8/x4OEpODWpLtatWr3HCoQ1/j9qlWrsmXLliSMyv3uHEJe6CkDm1dmmDsXKleGn3+GTz6Bjz92Y4QiIiIikuL5+1s9zgn18ccwcqQ1pPxuHh7QrRv075/wayeyO4c5xyyyHLPQmd1up2PHjnTt2jXW53LkyME///wT5zlN03RasNnPz8/pvd1ux8PDg82bNzuGgscIcGEUgZ+f3z2PDxs2jBEjRjBy5EiKFStGqlSp6Nat230XMbtT+vTpOX/+fKz6yZMns2vXLjw9b6eGdrudSZMmOSXdNpuNfPnyAVCwYEFOnDhBkyZN4pz/HZc2bdo4hvN/9dVXcbaZNGkSUVFRZMuWzVFnmiZeXl6cP3+etGnTJuharjp37pyjNzwpuDXpFheULQvjx0Pr1tCvH5QqBY9gTzkREREReUwZhmtDvDt2hBEj4j5mmtCpU6IPGU8sTz/9NLt27XIkjXcrXLgwUVFRbNiwwTG8/OzZs/zzzz9xzoGOUapUKaKjozl16hSVK1eOs423tzfRcT2ouEPx4sX577//+Oeff+Ls7V69ejUvvfSSY9i13W4nIiLinrHFFeuJEyeckte///6bTZs2sWLFCoKDgx1tL1y4QJUqVdi5cydFixaN83zdu3dn+PDhzJ07l4YNG973+rVr13Y8JKhVq1as41FRUXz77bcMGzaMmjVrOh1r1KgR06dPd5qD7yovL684fw/79+/n+vXrcS7qllg0RjklCQ2FLl2s182bW8PNRUREREQehZAQmDTJmubo4eH8c9IkiCehTQ7ee+891q9fz1tvvcW2bduIiIhg/vz5dPnfv61DQkJ46aWXaN++PWvWrGH79u00b96cbNmy8dJLL8V73vz58/PGG2/QsmVL5syZw4EDB9i4cSNffPEFCxcuBKyVs2PmJZ85cybOYcxVq1alSpUqNGrUiCVLlnDgwAF+++03Fi1aBEC+fPlYsmQJ69atIzw8nI4dO8ba1el+SpUqRYYMGVi7dq2jbtKkSZQrV44qVapQtGhRR3n22WepUKHCPRdUS5MmDe3atePjjz++5+jlGB4eHoSHhxMeHh5rVABYe4ifP3+etm3bOsVStGhRXn311fsu7nY/uXLlYunSpY4HDzFWr15Nnjx5yJs370Od/16UdKc0w4ZB1apw+TK89BJcvOjuiERERETkSREaCnv3wrvvQuPG1s+9e636ZKx48eKsXLmSiIgIKleuTKlSpfjwww8dc7/BWtm6dOnSvPjii1SoUAHTNFm4cOF9V+cOCwujZcuW9OzZkwIFCtCgQQM2bNhA9uzZAahYsSKdOnWiSZMmZMiQgcGDB8d5np9++omyZcvStGlTChcuTO/evR09sx9++CFPP/00tWrVolq1amTOnJmXX37Zpe/Aw8ODNm3aOOa137x5k2nTpsW7PlajRo2YNm3aPYewv/POO4SHhzN79uwExXCvLZwnTZrE888/77QN3J2xbNu27aGmGQ8bNowlS5bE2qpsxowZtG/f/oHPmxCGmZDHEo+RS5cuERgYyMWLF5Ptnt3Xb5m0GmX9Bza1qwe+XndtE3bqFJQpA0eOwIsvWvO8tbCaiIiIiMTj+vXrHDhwgNy5c8e5mJY8GU6ePEmRIkXYvHkzOXPmdHc4brdz505q1KjBP//8E2eyD/f+byehuaUytZQoY0ZrYTVfX1iwwJrjLSIiIiIicg+ZMmVi0qRJTjtEPcmOHTvGt99+G2/CnVi0kFpKVbo0TJhgbSH2ySfWwmoJWMBARERERESeXPeao/6kuXvBtqSinu6UrEULeOcd63XLlrB7t3vjERERERERESdKulO6IUOgenVrj8WXX4YLF9wdkYiIiIiIiPyPku6UzssLZs6EHDkgIgLeeAPusw+giIiIiIiIPBpKuh8HGTLcXlht4UL4+GN3RyQiIiIiIiIo6X58PP00TJxovf7sM/jpJ/fGIyIiIiIiIkq6HytvvAE9elivW7WCnTvdG4+IiIiIiMgTTkn34+aLL6BGDYiMtBZWO3/e3RGJiIiIyGPEbjfZdcTO2nA7u47YsdtNd4ckkqwp6X7ceHrCDz9Arlywfz80baqF1UREREQkUWyIsPPWN9EMmGVn1EI7A2ZZ7zdE2N0dmtuEhoby8ssvuzuMh5IrVy5Gjhx5zzY3b94kX758rF27NlGv3atXL7p27Zqo50xulHQ/jtKnh3nzwM8PFi+G//s/d0ckIiIiIinchgg7w+fbOXfFuf7cFRg+355kiXdoaCiGYcQqtWvXTpLruerLL79kypQp7g4DAMMwmDdvXpKce8KECeTMmZNKlSqxbt26OH8nd5Zq1aol6Ly9e/cmLCyMAwcOJEncyYGS7sdViRIwebL1+vPPYdYs98YjIiIiIimW3W4yZdm9k+qpy5NuqHnt2rU5fvy4U5kxY0aSXCuhoqOjsdvtBAYGEhQU5NZYHoXRo0fTrl07ACpWrEiRIkVo3Lgx4eHhTmXdunXYbDbat2+foPNmzJiRmjVrMn78+KQM362UdD/OXn8d3n3Xet26NezY4d54RERERCRFCj9qxurhvtvZy1a7pODj40PmzJmdStq0aQFYsWIF3t7erF692tF+2LBhpE+fnuPHjwNQrVo13n77bd5++22CgoJIly4d//d//4dp3o735s2b9O7dm2zZspEqVSrKly/PihUrHMenTJlCUFAQCxYsoHDhwvj4+HDo0KFYw8urVatGly5d6NatG2nTpiVTpkxMmDCByMhIWrduTerUqcmbNy+//fab0z3u3r2bunXrEhAQQKZMmWjRogVnzpxxOm/Xrl3p3bs3wcHBZM6cmX79+jmO58qVC4CGDRtiGIbj/f79+3nppZfIlCkTAQEBlC1blj/++MOl73/Lli3s27ePevXqOerat2/PH3/8Qe7cuSlYsKCjbNq0icDAQBo1asSAAQMoVqxYrPOVLl2ajz76yPG+QYMGbn+IkpSUdD/uBg2CF16Aq1ethdXOnXN3RCIiIiKSwly4T8LtarvEVK1aNbp160aLFi24ePEi27dv54MPPuCbb74hS5YsjnZTp07F09OTDRs2MGrUKEaMGMHEmC13gdatW7N27Vp++OEHduzYwWuvvUbt2rWJiIhwtLl69SqDBg1i4sSJ7Nq1i4wZM8YZ09SpU0mfPj1//fUXXbp04c033+S1116jYsWKbNmyhVq1atGiRQuuXr0KwPHjx6latSolS5Zk06ZNLFq0iJMnT9K4ceNY502VKhUbNmxg8ODBDBgwgCVLlgCwceNGAMLCwjh+/Ljj/ZUrV6hbty5//PEHW7dupVatWtSvX5/Dhw8n+DtetWoV+fPnJ02aNI66li1bcvXqVX7++WentpMnT6ZFixb4+vrSpk0bdu/e7YgFYMeOHWzdupXQ0FBHXbly5Thy5AiHDh1KcEwpiZLux52Hh7WwWu7ccOCA1fsdFeXuqEREREQkBQkKSNx2rlqwYAEBAQFO5ZNPPnEc//TTTwkODqZDhw688cYbtGjRgoYNGzqdI3v27IwYMYICBQrwxhtv0KVLF0aMGAFYvcEzZsxg9uzZVK5cmbx589KrVy+effZZwsLCHOe4desWY8eOpWLFihQoUIBUqVLFGW+JEiX4v//7P0JCQujbty9+fn6kT5+e9u3bExISwkcffcTZs2fZ8b+RqOPGjePpp59m4MCBFCxYkFKlSjF58mSWL1/OP//84zhv8eLF+fjjjwkJCaFly5aUKVOGpUuXApAhQwYAgoKCyJw5s+N9iRIl6NixI8WKFSMkJIRPP/2UPHnyMH/+/AR//wcPHiRr1qxOdWnTpqVRo0ZMmjTJUbdlyxa2bdvmGIb+1FNPUatWLafvMCwsjKpVq5InTx5HXbZs2RzXeRwp6X4SBAdbC6v5+8OSJfD+++6OSERERERSkELZDILvk1CnS221SwrVq1dn27ZtTuWtt95yHPf29mbatGn89NNPXLt2Lc6VuJ955hkM43Z8FSpUICIigujoaLZs2YJpmuTPn98psV+5ciX79+93uk7x4sXvG++dbTw8PEiXLp3TMOtMmTIBcOrUKQA2b97M8uXLna5dsGBBAKfr333tLFmyOM4Rn8jISHr37k3hwoUJCgoiICCAPXv2uNTTfe3aNXx9fWPVd+jQgT/++MNxrsmTJ/PMM8843Wv79u2ZMWMG169f59atW0yfPp02bdo4ncfPzw/A0fP/uPF0dwDyiBQvDmFh0KQJDBkCTz9t9XqLiIiIiNyHzWYQ+pyN4fPjX0ytVXUbNlvSJN2pUqUiX75892yzbt06AM6dO8e5c+fi7YWOi91ux8PDg82bN+Ph4eF0LCDg9tMGPz8/p8Q9Pl5eXk7vDcNwqos5h91ud/ysX78+X3zxRaxz3TlEPq7zxpwjPu+++y6LFy9m6NCh5MuXDz8/P1599VVu3rx53/uIkT59ev7+++9Y9VWqVCEkJIQpU6bQu3dvvv/+e4YOHerUpn79+vj4+DB37lx8fHy4ceMGjRo1cmpz7n9TYGN65x83SrqfJI0bw5Yt8MUX0KYNFCwIJUu6OyoRERERSQHKh9jo0QDCltk5f8fc7XSprYS7fIj7BtHu37+f7t2788033zBr1ixatmzJ0qVLsdlux/Tnn386febPP/8kJCQEDw8PSpUqRXR0NKdOnaJy5cqPOnyefvppfvrpJ3LlyoWn54OnaF5eXkRHRzvVrV69mtDQUMdw+ytXrrg8jLtUqVKMGzcO0zRjPXRo3749Y8aMIW/evERFRdGkSROn456enrRq1YqwsDB8fHx4/fXX8ff3d2qzc+dOvLy8KFKkiEtxpRQaXv6k+ewzqFULrl2Dhg3h7Fl3RyQiIiIibmCaJpGRkS6Volmv8clr14m+eY3oW9fpVvcmXzS9QdGs11w6z52rhifEjRs3OHHihFOJWdk7OjqaFi1aULNmTVq3bk1YWBg7d+5k2LBhTuc4cuQIPXr0YO/evcyYMYPRo0fzzjvvAJA/f37eeOMNWrZsyZw5czhw4AAbN27kiy++YOHChYnzhd/DW2+9xblz52jatCl//fUX//77L7///jtt2rSJlUTfS65cuVi6dCknTpzg/PnzAOTLl485c+awbds2tm/fTrNmze7bO3636tWrExkZya5du2Ida9WqFceOHaNXr140a9YszhEG7dq1Y9myZfz222+xhpaD9WCgcuXKjmHmjxv1dD9pPDxgxgwoWxb277eGmy9aBA/xRE1EREREUp6rV686DZ1+ED/1fbDPXblyxaXh34sWLXIaZg1QoEAB9uzZw2effcbBgwf55ZdfAMicOTMTJ06kcePGvPDCC5T838jOli1bcu3aNcqVK4eHhwddunShQ4cOjvOFhYXx6aef0rNnT44ePUq6dOmoUKECdevWfbCbdEHWrFlZu3Yt7733HrVq1eLGjRvkzJmT2rVrO/XW38+wYcPo0aMH33zzDdmyZePgwYOMGDGCNm3aULFiRdKnT897773HpUuXXIovXbp0vPLKK0yfPp1BgwY5HUufPj2vv/46P//8c7x7c4eEhFCxYkXOnj1L+fLlYx2fMWMG/fv3dymmlMQwXX3MlMJdunSJwMBALl686LTkfXJy/ZZJq1HWE62pXT3w9UqCuTE7d8Izz0BkJPToAXc9CRQRERGRx8f169c5cOAAuXPndiyIFRkZ+dBJ94NyNel+WNWqVaNkyZJxLrAmCfP333/z/PPPs2/fPlKnTu3SZ03TpGDBgnTs2JEePXo4Hfv1119599132bFjx0MNrU8qcf23EyOhuWXyuyt5NIoWhalT4dVXYfhwKF0amjVzd1QiIiIi8oj4+/tz5YobNtb+37UlZSlWrBiDBw/m4MGDTquT38+pU6f47rvvOHr0KK1bt451PDIykrCwsGSZcCeWx/fO5P4aNbK2Dxs4ENq2tRZWe/ppd0clIiIiIo+AYRiPtLdZUr5WrVq5/JlMmTKRPn16JkyYQNq0aWMdb9y4cWKElqwp6X7SDRgA27bBwoXWwmqbNsFjulS/iIiIiDyZVqxY4e4QnlhP2GzmOGn18iedhwdMnw4hIXD4sLWw2q1b7o5KRERERETksaCkWyAoCObNg4AAWL4c3n3X3RGJiIiIiIg8FpR0i6VwYfj2W+v1l1/Cd9+5Nx4RERERSXSu7s8s8qRLjP9mNKdbbmvYED78ED75BNq3h0KFoEwZd0clIiIiIg/J29sbm83GsWPHyJAhA97e3hhGEmxLK/KYME2Tmzdvcvr0aWw2G97e3g98LiXd4qxfP9i6FRYssJLwzZshY0Z3RyUiIiIiD8Fms5E7d26OHz/OsWPH3B2OSIrh7+9Pjhw5sNkefJC4km5xZrPBtGlQvjzs3QuvvQZ//AFeXu6OTEREREQegre3Nzly5CAqKoro6Gh3hyOS7Hl4eODp6fnQo0KUdEtsgYHWwmrlysGqVdCzJ4wa5e6oREREROQhGYaBl5cXXupQEXlktJCaxK1gQavHG2D0aJgyxa3hiIiIiIiIpERKuiV+DRpYc7wBOnWCjRvdGo6IiIiIiEhKo6Rb7u3DD+Gll+DGDWthtZMn3R2RiIiIiIhIivHASffNmzfZu3cvUVFRiRmPJDc2m7V/d8GCcPQovPoq3Lzp7qhERERERERSBJeT7qtXr9K2bVv8/f0pUqQIhw8fBqBr1658/vnniR6gJANp0lgLq6VJA2vWQPfu7o5IREREREQkRXA56e7bty/bt29nxYoV+Pr6Ouqff/55Zs6cmajBSTJSoABMnw6GAWPHwqRJ7o5IREREREQk2XN5y7B58+Yxc+ZMnnnmGaf9ygoXLsz+/fsTNThJZl58Efr3h48+gs6dsQek5uyqLXDwIOTKRbqubbAVyO/uKEVERERERJINl5Pu06dPkzFjxlj1kZGRD71puKQAH3wAW7fC3LkYrzch2PAATKsHfNwQ9g/6hrzvtXF3lCIiIiIiIsmCy8PLy5Yty6+//up4H5Nof/PNN1SoUCHxIpPkyWZjR6v/wwQMwMOMxsO042GPxjDt5O7bnm1//OPuKEVERERERJIFl5PuQYMG8cEHH/Dmm28SFRXFl19+yQsvvMCUKVP47LPPXA5g7Nix5M6dG19fX0qXLs3q1avv2X769OmUKFECf39/smTJQuvWrTl79qzL15UHY7ebHBs3E7vhEeuYAZiGwclhk7DbzUcfnIiIiIiISDLjctJdsWJF1q5dy9WrV8mbNy+///47mTJlYv369ZQuXdqlc82cOZNu3brxwQcfsHXrVipXrkydOnUcK6Lfbc2aNbRs2ZK2bduya9cuZs+ezcaNG2nXrp2rtyEPKPyoSeqTh4B4kmrTJODEIcKPKukWERERERFxeU43QLFixZg6depDX3z48OG0bdvWkTSPHDmSxYsXM27cOAYNGhSr/Z9//kmuXLno2rUrALlz56Zjx44MHjz4oWORhLlwBU4H57TmcMeVVxuGdfzKIw9NREREREQk2XG5p3vhwoUsXrw4Vv3ixYv57bffEnyemzdvsnnzZmrWrOlUX7NmTdatWxfnZypWrMh///3HwoULMU2TkydP8uOPP1KvXj3XbkIeWFAALC8bimGacebcNrudZWVDCQp45KGJiIiIiIgkOy4n3X369CE6OjpWvWma9OnTJ8HnOXPmDNHR0WTKlMmpPlOmTJw4cSLOz1SsWJHp06fTpEkTvL29yZw5M0FBQYwePTre69y4cYNLly45FXlwhbIZ3MwdwvjGEzANG9E2D6ING3bD+qNkYFJ3x7cUyurmQEVERERERJIBl5PuiIgIChcuHKu+YMGC7Nu3z+UA7t5mzDTNeLce2717N127duWjjz5i8+bNLFq0iAMHDtCpU6d4zz9o0CACAwMdJXv27C7HKLfZbAahz9lYWbYV3d7bxS/VevJnideYX70XPz7/PgC1f/sc24D+bo5URERERETE/Vye0x0YGMi///5Lrly5nOr37dtHqlSpEnye9OnT4+HhEatX+9SpU7F6v2MMGjSISpUq8e677wJQvHhxUqVKReXKlfn000/JkiVLrM/07duXHj16ON5funRJifdDKh9io0cDCFuWjxnpb69Yny41lC2bjpyDesKAAeDhAR995MZIRURERERE3Mvlnu4GDRrQrVs39u/f76jbt28fPXv2pEGDBgk+j7e3N6VLl2bJkiVO9UuWLKFixYpxfubq1avYbM4he3hYW1eZZtyrZfv4+JAmTRqnIg+vfIiN4aG3fxd9XrExpp0HOQf2gCFDrMqPP4aBA90UoYiIiIiIiPu5nHQPGTKEVKlSUbBgQXLnzk3u3LkpVKgQ6dKlY+jQoS6dq0ePHkycOJHJkycTHh5O9+7dOXz4sGO4eN++fWnZsqWjff369ZkzZw7jxo3j33//Ze3atXTt2pVy5cqRNasmET9qNtvtaQCFnjJuv+/VCz7/3Hr9wQfwxRduiE5ERERERMT9Hmh4+bp161iyZAnbt2/Hz8+P4sWLU6VKFZcv3qRJE86ePcuAAQM4fvw4RYsWZeHCheTMmROA48ePO+3ZHRoayuXLlxkzZgw9e/YkKCiI5557ji+U1CU/770H0dFW0t2njzXUvFcvd0clIiIiIiLySBlmfOOyH1OXLl0iMDCQixcvJtuh5tdvmbQaZa0QP7WrB75ecS8s524JinPAAGuYOcDw4dC9+yOMUEREREREJGkkNLd0uacbYOnSpSxdupRTp05ht9udjk2ePPlBTimPq48+snq8BwyAHj3A0xO6dHF3VCIiIiIiIo+Ey0l3//79GTBgAGXKlCFLlizxbu8l4tCvH0RFWYuqde1qDTXv3NndUYmIiIiIiCQ5l5Pu8ePHM2XKFFq0aJEU8cjjyDDg00+tHu8vvoC33rIS744d3R2ZiIiIiIhIknJ59fKbN2/Gu6WXSLwMAwYNgp49rfedOsHEie6NSUREREREJIm5nHS3a9eO77//PilikcedYVh7eHfrZr3v0AHCwtwakoiIiIiISFJyeXj59evXmTBhAn/88QfFixfHy8vL6fjw4cMTLTh5DBmGtYp5dDSMHg1t21pDze/Yj11ERERERORx4XLSvWPHDkqWLAnAzp07nY5pUTVJEMOAL7+0FlcbNw5CQ63E+4033B2ZiIiIiIhIonI56V6+fHlSxCFPGsOAMWOsHu8JE6yebg8PeP11d0cmIiIiIiKSaFye0y2SaGw2q6e7XTuw26F5c5g9291RiYiIiIiIJBqXe7oBNm7cyOzZszl8+DA3b950OjZnzpxECUyeEDYbfP21NdR8yhRo2tSqa9TI3ZGJiIiIiIg8NJd7un/44QcqVarE7t27mTt3Lrdu3WL37t0sW7aMwMDApIhRHnc2m7V9WIsW1nDz11+HefPcHZWIiIiIiMhDcznpHjhwICNGjGDBggV4e3vz5ZdfEh4eTuPGjcmRI0dSxChPAg8Pa/uwZs2sXu/GjeGXX9wdlYiIiIiIyENxOenev38/9erVA8DHx4fIyEgMw6B79+5MmDAh0QOUJ4iHB0ydavV037oFr74KCxe6OyoREREREZEH5nLSHRwczOXLlwHIli2bY9uwCxcucPXq1cSNTp48np7w3Xfw2mtw8yY0bAiLF7s7KhERERERkQfictJduXJllixZAkDjxo155513aN++PU2bNqVGjRqJHqA8gTw9Yfp0eOUVK/F+6SX43585ERERERGRlMTl1cvHjBnD9evXAejbty9eXl6sWbOGV155hQ8//DDRA5QnlJcXzJhhze3++Wdo0AB+/RWee87dkYmIiIiIiCSYy0l3cHCw47XNZqN379707t07UYMSAcDbG2bNsrYPW7AAXnzRmuNdrZq7IxMREREREUmQBA0vv3TpktPrexWRROXtDT/+CHXrwrVrUK8erF7t7qhEREREREQSJEFJd9q0aTl16hQAQUFBpE2bNlaJqRdJdD4+8NNPUKsWXL0KderA2rXujkpEREREROS+EjS8fNmyZY5h5cuXL0/SgETi5OsLc+feXlStdm34/XeoUMHdkYmIiIiIiMQrQUl31apVAYiKimLFihW0adOG7NmzJ2lgIrH4+cG8eVC/PixbZvV8L1kC5cu7OzIREREREZE4ubRlmKenJ0OHDiU6Ojqp4hG5N39/mD/fWkzt8mUr8d60yd1RiYiIiIiIxMnlfbpr1KjBihUrkiAUkQRKlQp++QUqV4aLF+GFF2DLFndHJSIiIiIiEovLW4bVqVOHvn37snPnTkqXLk2qVKmcjjdo0CDRghOJV0CAtW93zKJqzz9vDTkvWdLdkYmIiIiIiDi4nHS/+eabAAwfPjzWMcMwNPRcHp3Uqa19u2vVgj//vJ14Fy/u7shERERERESABxhebrfb4y1KuOWRS5MGFi2CcuXg7FmoUQN27nR3VCIiIiIiIsADJN0iyU5gICxeDKVLw5kz8NxzsHu3u6MSERERERFxfXg5QGRkJCtXruTw4cPcvHnT6VjXrl0TJTARlwQFWft2P/88bN1qJd4rVkDBgu6OTEREREREnmAuJ91bt26lbt26XL16lcjISIKDgzlz5gz+/v5kzJhRSbe4T3CwtW93jRqwfbsj8bbnCyH8qMmFKxAUAIWyGdhshrujFRERERGRJ4DLw8u7d+9O/fr1OXfuHH5+fvz5558cOnSI0qVLM3To0KSIUSTh0qWDP/6AYsXg+HFuVq7OqB6LiQjtC82aERHal36f7mFDhN3dkYqIiIiIyBPA5Z7ubdu28fXXX+Ph4YGHhwc3btwgT548DB48mFatWvHKK68kRZwiCZc+PSxdytVK1fGP2MU7X9bBbngAJhgGDZYPZfzuCfBJa8qHaFkDERERERFJOi5nHF5eXhiGNTQ3U6ZMHD58GIDAwEDHaxF3s6dLz5iXx2ECBuBhRuNh2vGwR2OYdjrN6sDCmf9gt5vuDlVERERERB5jLifdpUqVYtOmTQBUr16djz76iOnTp9OtWzeKFSuW6AGKPIjwoyb5Ny/4Xw+3MwMwDYNSy8MIP6qkW0REREREko7LSffAgQPJkiULAJ988gnp0qXjzTff5NSpU0yYMCHRAxR5EBeuQIZzh4B4kmrTJMO5Q1y48kjDEhERERGRJ4zLc7rLlCnjeJ0hQwYWLlyYqAGJJIagAIgIzgmGEWfebZgmp9NmJyTg0ccmIiIiIiJPDpd7uvv378/+/fuTIhaRRFMom8GWqqEYphlnX7cNkyJH/qRQqouPPDYREREREXlyuJx0//TTT+TPn59nnnmGMWPGcPr06aSIS+Sh2GwG9ZoWYHzjCZiGjWibB9H/+2nH4JaHFyH71mCrWAEiItwdroiIiIiIPKZcTrp37NjBjh07eO655xg+fDjZsmWjbt26fP/991y9ejUpYhR5IOVDbJT+pDUf99/FL9V68meJ1/ilWk/6f7KbPT+ug6eegr17oVw5WLLE3eGKiIiIiMhjyDBN86GWb167di3ff/89s2fP5vr161y6dCmxYksSly5dIjAwkIsXL5ImTRp3hxOn67dMWo2KBmBqVw98vQw3RxS3lBLn1Rt2Wo+xA9DnFRslchrYbAacOAGvvALr14OHBwwfDl26WPPARURERERE7iGhuaXLPd13S5UqFX5+fnh7e3Pr1q2HPZ1IorPZbifRhZ4ybr/PnBmWL4dWrSA6Gt55Bzp0gJs33RSpiIiIiIg8bh4o6T5w4ACfffYZhQsXpkyZMmzZsoV+/fpx4sSJxI5PJGn5+EBYGAwdCjYbTJwIzz8PWqtAREREREQSgctbhlWoUIG//vqLYsWK0bp1a5o1a0a2bNmSIjaRR8MwoGdPKFwYXn8dVq+GsmVh/nwoXtzd0YmIiIiISArmctJdvXp1Jk6cSJEiRZIiHhH3qVMH/vwTGjSAffugYkX47jto2NDdkYmIiIiISArl8vDygQMHOhJu0zR5yHXYRJKXQoVgwwZriHlkpLXQ2qefgv6ci4iIiIjIA3igOd3ffvstxYoVw8/PDz8/P4oXL853332X2LGJuEdwMPz2m7WSOcCHH0LTpqAt8URERERExEUuJ93Dhw/nzTffpG7dusyaNYuZM2dSu3ZtOnXqxIgRI1wOYOzYseTOnRtfX19Kly7N6tWr79n+xo0bfPDBB+TMmRMfHx/y5s3L5MmTXb6uyD15esKoUTBhgvV65kyoUgX++8/dkYmIiIiISAri8pzu0aNHM27cOFq2bOmoe+mllyhSpAj9+vWje/fuCT7XzJkz6datG2PHjqVSpUp8/fXX1KlTh927d5MjR444P9O4cWNOnjzJpEmTyJcvH6dOnSIqKsrV2xBJmPbtoUABaNQINm+2FlibOxeeecbdkYmIiIiISArgck/38ePHqVixYqz6ihUrcvz4cZfONXz4cNq2bUu7du0oVKgQI0eOJHv27IwbNy7O9osWLWLlypUsXLiQ559/nly5clGuXLk44xFJNFWqwMaNUKwYnDgB1apZC6yJiIiIiIjch8tJd758+Zg1a1as+pkzZxISEpLg89y8eZPNmzdTs2ZNp/qaNWuybt26OD8zf/58ypQpw+DBg8mWLRv58+enV69eXLt2zbWbEHFVrlywdi289BLcuAEtW0Lv3hAd7e7IREREREQkGXN5eHn//v1p0qQJq1atolKlShiGwZo1a1i6dGmcyXh8zpw5Q3R0NJkyZXKqz5QpEydOnIjzM//++y9r1qzB19eXuXPncubMGTp37sy5c+findd948YNbty44Xh/6dKlBMco4iR1apgzBz76CD77DIYMgV27YMYMSJPG3dGJiIiIiEgy5HJPd6NGjdiwYQPp06dn3rx5zJkzh/Tp0/PXX3/R8AH2MzYMw+m9aZqx6mLY7XYMw2D69OmUK1eOunXrMnz4cKZMmRJvb/egQYMIDAx0lOzZs7sco4iDzWZtITZjBvj6wsKF1vzuffvcHZmIiIiIiCRDLvd0A5QuXZpp06Y91IXTp0+Ph4dHrF7tU6dOxer9jpElSxayZctGYGCgo65QoUKYpsl///0X5/D2vn370qNHD8f7S5cuKfGWh/f665AvH7z8MoSHQ7ly8OOP8Nxz7o5MRERERESSEZd7uhcuXMjixYtj1S9evJjffvstwefx9vamdOnSLFmyxKl+yZIl8S6MVqlSJY4dO8aVK1ccdf/88w82m42nnnoqzs/4+PiQJk0apyKSKMqUsRZYK1cOzp+HmjXhq6/ANN0dmYiIiIiIJBMuJ919+vQhOo7Fo0zTpE+fPi6dq0ePHkycOJHJkycTHh5O9+7dOXz4MJ06dQKsXuo7tyZr1qwZ6dKlo3Xr1uzevZtVq1bx7rvv0qZNG/z8/Fy9FZGHlyULrFwJzZtbi6q9/Ta8+SbcuuXuyEREREREJBlweXh5REQEhQsXjlVfsGBB9rk4r7VJkyacPXuWAQMGcPz4cYoWLcrChQvJmTMnYG1PdvjwYUf7gIAAlixZQpcuXShTpgzp0qWjcePGfPrpp67ehkji8fWFb7+1thTr0we+/hr27LGGm6dP7+7oRERERETEjVxOugMDA/n333/JlSuXU/2+fftIlSqVywF07tyZzp07x3lsypQpseoKFiwYa0i6iNsZhrWFWOHC0KyZ1ftdrhzMnw9Fi7o7OhERERERcROXh5c3aNCAbt26sX//fkfdvn376NmzJw0aNEjU4ERSnBdfhPXrIU8eOHAAKlSwEm8REREREXkiuZx0DxkyhFSpUlGwYEFy585N7ty5KVSoEOnSpWPo0KFJEaNIylKkCPz1F1SvDleuWCucDxqkBdZERERERJ5ADzS8fN26dSxZsoTt27fj5+dH8eLFqVKlSlLEJ5IypUsHixdDt24wdiy8/z7s3AkTJ4IW/RMREREReWI80D7dhmFQs2ZNatasmdjxiDw+vLysLcSKFYMuXeD77yEiAubOhWzZ3B2diIiIiIg8Ai4PLwdYuXIl9evXJ1++fISEhNCgQQNWr16d2LGJPB46dYLff4fgYGtf77JlreHnIiIiIiLy2HM56Z42bRrPP/88/v7+dO3albfffhs/Pz9q1KjB999/nxQxiqR81atbCXeRInD8OFSpYvV8i4iIiIjIY83l4eWfffYZgwcPpnv37o66d955h+HDh/PJJ5/QrFmzRA1Q5LGRJw+sWwfNm8Mvv8Abb8Dff8Nnn2HHIPyoyYUrEBQAhbIZ2GyGuyMWEREREZGH5HJP97///kv9+vVj1Tdo0IADBw4kSlAij600aaw53X36WO8//5zzL7zEwI82ExHaF5o1IyK0L/0+3cOGCLt7YxURERERkYfmck939uzZWbp0Kfny5XOqX7p0KdmzZ0+0wEQeWx4e1hZiRYtib9OWtMsW8MGyBdgND8AEw6DB8qGM3z0BPmlN+ZAHWnpBRERERESSAZeT7p49e9K1a1e2bdtGxYoVMQyDNWvWMGXKFL788sukiFHksWRv2oxvVnrS4ZvXMQAPM9o6YIIJdJrVgf5FK1H2/QIaai4iIiIikkK5nHS/+eabZM6cmWHDhjFr1iwAChUqxMyZM3nppZcSPUCRx1X4UZNM+7dgNzxuJ9z/YwB2w6DU8jDCWw2iSHYl3SIiIiIiKdED7dPdsGFDGjZsmNixiDxRLlyBDOcOYfVrx2aYJhnOHeLClUcbl4iIiIiIJB6XJ4vmyZOHs2fPxqq/cOECefLkSZSgRJ4EQQFwOjgnGHH3YhumnaBLJwjyjXrEkYmIiIiISGJxOek+ePAg0dHRsepv3LjB0aNHEyUokSdBoWwGW6qGYphmrL5uE2uIeZF/V1L49coQHu6GCEVERERE5GEleHj5/PnzHa8XL15MYGCg4310dDRLly4lV65ciRqcyOPMZjOo17QA43dPoNOsDtgNA0xr9XLDNFlWthVVd/+E519/QalS8Mkn0KOHtfq5iIiIiIikCAlOul9++WUADMOgVatWTse8vLzIlSsXw4YNS9TgRB535UNs8ElrPi5SidIrwshw7hCng3OytXpr6jbJj6ffAGjfHhYtgt69rT2+w8KgQAF3hy4iIiIiIgmQ4KTbbrcDkDt3bjZu3Ej69OmTLCiRJ0n5EBvFeuentf9nAPR5xUaDnMb/tgl7ChYuhMmToXt3WL8eSpaEzz6Dd95Rr7eIiIiISDLn8pzuAwcOKOEWSWR37sNd6CnDeV9uw4C2bWHnTnjhBbh+HXr2hKpVISLCDdGKiIiIiEhCubxl2IABA+55/KOPPnrgYETkHnLkgMWL4ZtvrKR77VooUQIGDYIuXcDm8jM0ERERERFJYi4n3XPnznV6f+vWLQ4cOICnpyd58+ZV0i2SlAwDOnSAWrWs3u+lS6FbN/jpJ2sIer587o5QRERERETu4HLSvXXr1lh1ly5dIjQ0lIYNGyZKUCJyHzlzwpIl8PXX0KsXrF5t9Xp/8QV07qxebxERERGRZCJR/mWeJk0aBgwYwIcffpgYpxORhDAM6NQJ/v4bqleHq1etYeY1asCBA+6OTkRERERESKSkG+DChQtcvHgxsU4nIgmVOzf88QeMGQP+/rBiBRQrBuPGwf92HRAREREREfdweXj5qFGjnN6bpsnx48f57rvvqF27dqIFJiIusNngrbegdm1o0wZWrbKGmf/4I0yaBLlyuTtCEREREZEnkstJ94gRI5ze22w2MmTIQKtWrejbt2+iBSYiDyBvXli+3Or17tMHli2zer2HDrUWYDOM+59DREREREQSjctJ9wHNFRVJ3mw26NoV6taF1q1hzRpr7vdPP8HEidbWYyIiIiIi8khoiWORx1W+fNb87hEjwNfXWu28aFEr8TZNd0cnIiIiIvJEcLmnG2Djxo3Mnj2bw4cPc/PmTadjc+bMSZTARCQReHhY+3jH9HqvWwft21tzvSdOhKeecneEIiIiIiKPNZd7un/44QcqVarE7t27mTt3Lrdu3WL37t0sW7aMwMDApIhRRB5W/vzW4mpDh4KPDyxeDEWKQFiYer1FRERERJKQy0n3wIEDGTFiBAsWLMDb25svv/yS8PBwGjduTA7NFRVJvjw8oGdP2LYNypeHS5eslc5ffBGOHk3QKex2k11H7KwNt7PriB27XQm7iIiIiMi9uJx079+/n3r16gHg4+NDZGQkhmHQvXt3JkyYkOgBikgiK1gQ1q6FL76wer0XLrR6vadOvWev94YIO299E82AWXZGLbQzYJb1fkOE9gIXEREREYmPy0l3cHAwly9fBiBbtmzs3LkTgAsXLnD16tXEjU5EkoaHB/TuDVu2QNmycPEihIZCgwZw7Fis5hsi7Ayfb+fcFef6c1dg+Hy7Em8RERERkXi4nHRXrlyZJUuWANC4cWPeeecd2rdvT9OmTalRo0aiBygiSahwYWtxtUGDwNsbFiywVjifNs3R6223m0xZdu+keupyDTUXEREREYmLy0n3mDFjeP311wHo27cvvXr14uTJk7zyyitMmjQp0QMUkSTm6Ql9+sDmzVC6NJw/Dy1aQMOGcOIE4UfNWD3cdzt7GcKPKukWEREREbnbAw0vz5o1q/Vhm43evXszf/58hg8fTtq0aRM9QBF5RIoWhfXr4dNPwcsLfv4ZihTBc+aMBK1wfuE+ibmIiIiIyJPI5aRbRB5jXl7wwQewaROULAnnzlHg3eb0nNqYwMsnyXw6gqYLP6DrtOY0XfgBmU9HOD4aFOC+sEVEREREkitPdwcgIslQ8eLw118waBDmJ59Qbuc8iv2zBJ+bVzFtNqvn2zBosHwo4xtPYOdzrSiUzXB31CIiIiIiyY56ukUkbl5e8NFHGBs3cjV3AfxuRmLDxMMejYdpx8MejWHa6TSrAx3y/IvNpqRbRERERORuSrpF5N5KlsT/1QaYRuyk2gAMm0HJpWGPPi4RERERkRRASbeI3N+RIxhxJN0Aht0OBw8+2nhERERERFKIBM3pfuWVVxJ8wjlz5jxwMCKSTOXKBfEk3ZgmrFxplapVH2lYIiIiIiLJXYJ6ugMDAx0lTZo0LF26lE2bNjmOb968maVLlxIYGJhkgYqIG7VpA6ZJvBuHHT8O1apB/fqwa9cjDExEREREJHlLUE93WNjt+ZrvvfcejRs3Zvz48Xh4eAAQHR1N586dSZMmTdJEKSLuFRICkyZB27ZEY4BpYrMZGKYJw4fDP//AhAmwYAEsXAihoTBgAGTL5u7IRURERETcyuU53ZMnT6ZXr16OhBvAw8ODHj16MHny5EQNTkSSkdBQbu7cwy/VevJnideI7tEL9u6Fd96Br76yergbNQK7HSZPthL1Dz6AixfdHbmIiIiIiNu4nHRHRUURHh4eqz48PBy73Z4oQYlI8mTmy8eMup8xqvk0oj4bBPny3T6YPz/8+COsWwfPPgvXrsHAgZA3L4waBTdvui9wERERERE3cTnpbt26NW3atGHo0KGsWbOGNWvWMHToUNq1a0fr1q1dDmDs2LHkzp0bX19fSpcuzerVqxP0ubVr1+Lp6UnJkiVdvqaIJKEKFWDVKpg3DwoWhLNnrd7wQoVg5kyrJ1xERERE5AnhctI9dOhQ+vTpw4gRI6hSpQpVqlRhxIgR9O7dmyFDhrh0rpkzZ9KtWzc++OADtm7dSuXKlalTpw6HDx++5+cuXrxIy5YtqVGjhqvhi8ijYBjw0kvw99/w9deQOTP8+y+8/jqULw/Ll7s7QhERERGRR8LlpNtms9G7d2+OHj3KhQsXuHDhAkePHqV3795O87wTYvjw4bRt25Z27dpRqFAhRo4cSfbs2Rk3btw9P9exY0eaNWtGhQoVXA1fRB4lT0/o0AH27bMWVgsIgE2b4LnnoF49KylPAna7ya4jdtaG29l1xI7dHu+66yIiIiIiScrlpBused1//PEHM2bMwPjf3r3Hjh3jypUrCT7HzZs32bx5MzVr1nSqr1mzJuvWrYv3c2FhYezfv5+PP/44Qde5ceMGly5dcioi8oilSgUffgj798Nbb1nJ+MKFUKKEtR3Zf/8l2qU2RNh565toBsyyM2qhnQGzrPcbIjSsXUREREQePZeT7kOHDlGsWDFeeukl3nrrLU6fPg3A4MGD6dWrV4LPc+bMGaKjo8mUKZNTfaZMmThx4kScn4mIiKBPnz5Mnz4dT88E7XbGoEGDnPYZz549e4JjFJFEljEjjBkDu3fDq6+CaUJYmLXSed++D73S+YYIO8Pn2zl31/O/c1dg+Hy7Em8REREReeRcTrrfeecdypQpw/nz5/Hz83PUN2zYkKVLl7ocQExPeQzTNGPVgbUXeLNmzejfvz/58+dP8Pn79u3LxYsXHeXIkSMuxygiiSwkBGbPhvXroXJluH4dPv/cWul85Ei4ccPlU9rtJlOW3TupnrpcQ81FRERE5NFyOeles2YN//d//4e3t7dTfc6cOTl69GiCz5M+fXo8PDxi9WqfOnUqVu83wOXLl9m0aRNvv/02np6eeHp6MmDAALZv346npyfLli2L8zo+Pj6kSZPGqYhIMvHMM7ByJfz8s7W6+dmz0L279XrGDJdWOg8/asbq4b7b2ctWOxERERGRR8XlpNtutxMdHR2r/r///iN16tQJPo+3tzelS5dmyZIlTvVLliyhYsWKsdqnSZOGv//+m23btjlKp06dKFCgANu2baN8+fKu3oqIJAeGAQ0awI4dMGECZMkCBw5As2ZQrhzE80DtbhcSuKREQtuJiIiIiCQGl5PuF154gZEjRzreG4bBlStX+Pjjj6lbt65L5+rRowcTJ05k8uTJhIeH0717dw4fPkynTp0Aa2h4y5YtrUBtNooWLepUMmbMiK+vL0WLFiVVqlSu3oqIJCeentC+PUREwKefQurUsHkz1KgBdeved6XzoICEXSah7UREREREEoPLSfeIESNYuXIlhQsX5vr16zRr1oxcuXJx9OhRvvjiC5fO1aRJE0aOHMmAAQMoWbIkq1atYuHCheTMmROA48eP33fPbhF5zKRKBR98YK103qWLlYz/9pu10nnr1hDPugyFshkE3yehTpfaaiciIiIi8qi4nHRnzZqVbdu20atXLzp27EipUqX4/PPP2bp1KxkzZnQ5gM6dO3Pw4EFu3LjB5s2bqVKliuPYlClTWLFiRbyf7devH9u2bXP5miKSAmTIAKNGQXg4vPaatdL5lCmQPz/06QMXLjg1t9kMQp+7919prarbsNmUdIuIiIjIo/NA+3T7+fnRpk0bxowZw9ixY2nXrp3TSuYiIokmXz6YNQv+/BOqVLFWOv/iC2ul8xEjnFY6Lx9io0cDG2nv6vFOlxp6NLBRPuSB/soTEREREXlgLv8L1MPDg+rVq3Pu3Dmn+pMnT+Lh4ZFogYmIOClfHlasgF9+gcKF4dw56NEDChaE7793rHRePsTG8NDbf7X1ecXGmHYeSrhFRERExC1c/leoaZrcuHGDMmXKsHPnzljHRESSjGHAiy/C9u0wcSJkzQoHD8Ibb0DZsrB0KQAe+/fRdOEHdJ3WnGLj3se2f5974xYRERGRJ5bLSbdhGPz000/Ur1+fihUr8vPPPzsdExFJcp6e0LattdL5Z59ZK51v2QLPPw/FiuFdrBD1Vwzjme2z8Rg+1OoNnzLF3VGLiIiIyBPogXq6PTw8+PLLLxk6dChNmjTh008/VS+3iDx6/v7w/vvWSuddu1rJ+M6dGHY7HvZoPEw7RnS0NfS8bVvYpx5vEREREXm0PB/mwx06dCB//vy8+uqrrFy5MrFiEhFxTYYM8OWX1qJqEyZYK53fzTBg0iQYNOjRxyciIiIiTyyXe7pz5szptGBatWrV+PPPP/nvv/8SNTAREZddvGgl13GJjobVq62fIiIiIiKPiMtJ94EDB0iXLp1TXb58+di6dSv//vtvogUmIuKyXLniT7oB1q6FkBAYORIuXXpUUYmIiIjIEyzR9tDx9fUlZ86ciXU6ERHXtWkDpkmcK0wYBgQGwoED0L07ZM8OPXvCoUOPOkoHu91k1xE7a8Pt7Dpix27X2hgiIiIij5sEJd3BwcGcOXMGgLRp0xIcHBxvERFxm5AQa962zUa0zYNow4bp4QE2G0yeDMeOwfjxUKCA1dM9fDjkyQONG8Offz7SUDdE2Hnrm2gGzLIzaqGdAbOs9xsi7I80DhERERFJWglaSG3EiBGkTp0agJEjRyZlPCIiDyc0lJvlK/Hb2xPJcO4Q5V/IhWeHdpAvn3W8Y0do3x4WLbKS7qVLYfZsqzzzDPToAQ0bWiuhJ5ENEXaGz4+dXJ+7AsPn2+nRAMqHJNpAJBERERFxowT9q7JVq1ZxvhYRSY7MfPmYUfczAKZ29cDT66553jYb1K1rlR07rDne06dbvd2NG0POnNClC7RrZw1JT0R2u8mUZffuzZ663E7ZvAY22z3mp4uIiIhIipCgrpRLly4luIiIpCjFi1tDzw8dgo8+gvTprde9esFTT0G3bpCIi0SGHzU5d+Xebc5ettqJiIiISMqXoKQ7KCiItGnT3rPEtBERSZEyZ4b+/eHwYfjmGyhcGK5csfb/DgmBRo2s1c/j2gPcBRfuk3C72k5EREREkrcEDS9fvnx5UschIpI8+PlZw8rbtoXff7fmff/+O8yZY5WyZa3Vz199Fby8XD59UEDithMRERGR5C1BSXfVqlWTOg4RkeTFMKBWLavs2mXN+/7uO9i4EZo1g969rXnf7duDC6N8CmUzCA7gnkPM06W22omIiIhIyvfAy+NevXqVPXv2sGPHDqciIvLYKVLEGnJ++LA1BD1jRvjvP3jvPWu/7y5dYN++BJ3KZjMIfe7ef/W2qm7TImoiIiIijwmXk+7Tp0/z4osvkjp1aooUKUKpUqWciojIYytjRmuxtUOHrMXXihaFyEgYMwby54eXX4ZVq+4777t8iI0eDWykvWsIebrU0KOBTduFiYiIiDxGXP6XXbdu3Th//jx//vknfn5+LFq0iKlTpxISEsL8+fOTIkYRkeTF1xdat7a2G1uyxNp6zDTh55+halUoUwamTYObN+M9RfkQG8NDb/8V3OcVG2PaeSjhFhEREXnMuPyvu2XLljFixAjKli2LzWYjZ86cNG/enMGDBzNo0KCkiFFEJHkyDHj+efj1V9i9Gzp2tBLyLVugRQvInRsGDYJz5+L8+J1DyAs9pX25RURERB5HLifdkZGRZMyYEYDg4GBOnz4NQLFixdiyZUviRiciklIUKgTjx8ORI/Dpp9YWZMeOwfvvW/O+O3eGf/5x+ogREUHThR/QdVpzPD/oCxERbgpeRERERJKKy0l3gQIF2Lt3LwAlS5bk66+/5ujRo4wfP54sWbIkeoAiIilK+vTwwQdw8CBMnQolSsDVqzBuHBQoAPXrw/LlMHky3sUKUX/FMJ7ZPhuP4UOhYEGYMsXddyAiIiIiieiB5nQfP34cgI8//phFixaRI0cORo0axcCBAxM9QBGRFMnHB1q2hK1bYdkyK9kGWLAAnnsO2rbFsNvxsEfjYdoxoqPBbrf2B0/gSugiIiIikvwlaJ/uO73xxhuO16VKleLgwYPs2bOHHDlykD59+kQNTkQkxTMMqF7dKv/8A19+CRMmQFRU/O0nTbLmgouIiIhIiudy0n03f39/nn766cSIRUTk8ZY/P3z1FZw4AXPnxr21mN0Oe/Y8+tjiYbebhB81uXAFggKgUDYt+CYiIiLiCpeTbtM0+fHHH1m+fDmnTp3Cbrc7HZ8zZ06iBSci8ljKnx9sNoiOjn3MNGHePKhTB5o3t/b+TpXqUUcIwIYIO1OW2Tl35XZdcACEPqe9xEVEREQSyuV/Nb3zzju0aNGCAwcOEBAQQGBgoFMREZH7aNMGTJM4+rlvW7TISrozZbK2H1u8OP4h6UlgQ4Sd4fOdE26Ac1dg+Hw7GyLscX9QRERERJy43NM9bdo05syZQ926dZMiHhGRx19IiDVvu21bojHANLHZDAzTtOorVYLp02HaNNi/3/o5bZq1DVnTplYyXqqUNf87CdjtJlOW3TupnrrcTtm8GmouIiIicj8u93QHBgaSJ0+epIhFROTJERrKzZ17+KVaT/4s8RrRPXrB3r0QGmol5f36Wft2r19v7fGdLp01F3zECChdGooUsRZbO3Qo0UMLP2rG6uG+29nLVjsRERERuTeXk+5+/frRv39/rl27lhTxiIg8Mcx8+ZhR9zNGNZ9G1GeDIF8+5waGAc88Yy2+duwYzJ8PjRtb25GFh8P770OuXFC1KnzzDVy4kChxXbhPwu1qOxEREZEnmctJ92uvvcb58+fJmDEjxYoV4+mnn3YqIiKSBLy9rb2+Z86EkyetYejVq1uJ+apV0KGDNf/71Vethdhu3HjgSwUFJG47ERERkSeZy3O6Q0ND2bx5M82bNydTpkwYSTSnUERE4hEYaC3G1qYNHDkC338P330Hu3bBTz9ZJW1aaNLEmv9dsaJL878LZTMIDuCeQ8zTpbbaiYiIiMi9uZx0//rrryxevJhnn302KeIRERFXZM8O770HvXvDjh3Wgmvff28NRx8/3iq5c8Mbb1gJeIEC9z2lzWYQ+pyN4fPjX0ytVXWbFlETERERSQCXh5dnz56dNGnSJEUsIiLyoAwDSpSAIUPg8GFYsgRatYKAADhwAD79FAoWhHLlYNQoOHXqnqcrH2KjRwMbae8aQp4uNfRooH26RURERBLK5X81DRs2jN69e3Pw4MEkCEdERB6ahwc8/zxMmWLN//7+e6hb16rfuBHeeQeyZoV69WDGDLh6Nc7TlA+xMTz09v8m+rxiY0w7DyXcIiIiIi5weXh58+bNuXr1Knnz5sXf3x8vLy+n4+fOnUu04ERE5CH5+1t7ezdtavVuz5xpDUH/6y9YuNAqAQHQqJE1/Lx6dSs5/x+P/ftounASGc4dotjJXNjat7W2NBMRERGRBHE56R45cmQShCEiIkkuY0bo0sUqe/fC9OlWAn7gAEydapUsWaBZMysB37IF7/btqY8BpontbwOGDbFWTg8NdffdiIiIiKQILiXdt27dYsWKFXz44YfkyZMnqWISEZGkVqAADBgA/fvD+vVW8j1zJhw/DsOGWQUwAEe/d/T/frZtC88+G3tfcRERERGJxaWJeV5eXsydOzepYhERkUfNMKwtxcaOtRLuefOsvb7vGGIe52cmTXpkIYqIiIikZC6vhtOwYUPmzZuXBKGIiIhbeXvDSy/B7NnWz/j29o6OhrlzYelSuHnz0cYoIiIiksK4PKc7X758fPLJJ6xbt47SpUuTKlUqp+Ndu3ZNtOBERMRN8ucHm81KsOOyd6+1QnpAALzwgrUSet261pxwEREREXFwOemeOHEiQUFBbN68mc2bNzsdMwxDSbeIyOOgTRsYPBgTa163E8OAV16BNWusLcnmzrUKwNNPWwl4vXpQtqyVuIuIiIg8wVxOug8cOJAUcYiISHISEmLN227bluiY1cttBoZp3l693G6HLVvg11+tsnGj9X7LFvjkE8iQAerUsRLwmjUhKMjddyUiIiLyyLmcdN/JNE3A6uEWEZHHTGgoN8tX4re3J5Lh3CHKv5ALzw7tbq9abrNBmTJW+fhjq9f7t9+sBPz33+H0afj2W6t4ekKlSrd7wQsVin/OuIiIiMhj5IHG/X377bcUK1YMPz8//Pz8KF68ON99911ixyYiIm5m5svHjLqfMar5NKI+G3TvbcIyZbJ6wGfPhjNnYNky6NkTChaEqChYuRJ694YiRSBPHnj7bStJv379kd2PiIiIyKPmctI9fPhw3nzzTerWrcusWbOYOXMmtWvXplOnTowYMcLlAMaOHUvu3Lnx9fWldOnSrF69Ot62c+bM4YUXXiBDhgykSZOGChUqsHjxYpevKSIiSczLC6pXh6FDITwc9u+HUaOgVi1rlfSDB+Grr6zF14KDoX59GD8ejhx5oMvZ7Sa7jthZG25n1xE7druZuPcjIiIi8oBcHl4+evRoxo0bR8uWLR11L730EkWKFKFfv3507949weeaOXMm3bp1Y+zYsVSqVImvv/6aOnXqsHv3bnLkyBGr/apVq3jhhRcYOHAgQUFBhIWFUb9+fTZs2ECpUqVcvRUREXlU8uSBLl2sEhlpbTcWMxf86FFYsMAqAMWK3R6G/swz1tD0e9gQYWfKMjvnrtyuCw6A0OdslA/RQm4iIiLiXi7/a+T48eNUrFgxVn3FihU5fvy4S+caPnw4bdu2pV27dhQqVIiRI0eSPXt2xo0bF2f7kSNH0rt3b8qWLUtISAgDBw4kJCSEX375xdXbEBERd0mVCho0gK+/tnq2t22Dzz6DihWteeJ//w2ffw6VK0PGjNCsGUyfDmfPxjrVhgg7w+c7J9wA567A8Pl2NkTYH809iYiIiMTD5aQ7X758zJo1K1b9zJkzCQkJSfB5bt68yebNm6lZs6ZTfc2aNVm3bl2CzmG327l8+TLBwcHxtrlx4waXLl1yKiIikkwYBpQoAe+/D2vXwqlTMG0aNG0KadPC+fMwYwY0b24l4JUqwcCBsH079mirhxsg8+kImi78gK7TmtN04QdkPh0BwNTlGmouIiIi7uXy8PL+/fvTpEkTVq1aRaVKlTAMgzVr1rB06dI4k/H4nDlzhujoaDJlyuRUnylTJk6cOJGgcwwbNozIyEgaN24cb5tBgwbRv3//BMclIiJulC4dvPGGVaKi4M8/bw9D//tvWLfOKh98QHSWp2iUszY3PX2ovXYcpmFtbYZh0GD5UMY3nsDKsq0IP2pSJLtWShcRERH3cLmnu1GjRmzYsIH06dMzb9485syZQ/r06fnrr79o2LChywHcvd2YaZoJ2oJsxowZ9OvXj5kzZ5IxY8Z42/Xt25eLFy86ypEHXKRHREQeMU9PePZZGDQIduyAQ4dg3Dh48UXw88Pr+H88/+dE6q75Cptpx8Mejcf/fhqmnU6zOpDpzD4uXLn/pURERESSygPt0126dGmmTZv2UBdOnz49Hh4esXq1T506Fav3+24zZ86kbdu2zJ49m+eff/6ebX18fPDx8XmoWEVEJBnIkQM6dbLKtWscmr2M6Pc/JPfRrdz9qNYAME06zeqAX+lPIHd58PV1Q9AiIiLypHPbsq7e3t6ULl2aJUuWONUvWbIkzoXaYsyYMYPQ0FC+//576tWrl9RhiohIcuTnR/bmdTmbJT92I+7/lRmYFP53NblfqwZBQdbCbO+/b+0NfvHiIw1XREREnlwJ7um22Wz3HfZtGAZRUVEJvniPHj1o0aIFZcqUoUKFCkyYMIHDhw/TqVMnwBoafvToUb799lvASrhbtmzJl19+yTPPPOPoJffz8yMwMDDB1xURkZTPZjPI9nQu2GJAHGul2Q0bN3Llwy/ygrVA25o1Vhk0yFolvXhxKxGPKZkzP+pbEBERkSdAgpPuuXPnxnts3bp1jB49GtN0bYXYJk2acPbsWQYMGMDx48cpWrQoCxcuJGfOnIC1Pdnhw4cd7b/++muioqJ46623eOuttxz1rVq1YsqUKS5dW0REUr6svdpiThyCCU5DzE2shdH9fv8V8uaFiAhYvfp2+fdfa6uybdtg9GjrQ/nyOSfhefNaJxERERF5CAlOul966aVYdXv27KFv37788ssvvPHGG3zyyScuB9C5c2c6d+4c57G7E+kVK1a4fH4REXmMhYRgTJqE2bYt0Virl9ts1k9j0iQrkQbIn98qbdta748dc07C//4b9u2zSliY1SZzZuckvFgx8PBwz32KiIhIivVAC6kdO3aMjz/+mKlTp1KrVi22bdtG0aJFEzs2ERGR+wsN5Wb5Svz29kQynDtE+Rdy4dmh3e2EOy5Zs0KTJlYBuHDB2ic8JgnfuBFOnIDZs60CkCaNtU94TBJetixooU4RERG5D5eS7osXLzJw4EBGjx5NyZIlWbp0KZUrV06q2ERERBLEzJePGXU/A2BqVw88vVwcFh4UBPXqWQXg2jX466/bSfi6dXDpkrUI22+/WW18fKBcudtJeMWKVmL+GLDbTcKPmly4AkEBUCibYY0gEBEREZclOOkePHgwX3zxBZkzZ2bGjBlxDjcXERF5LPj5QdWqVgGIioLt252HpJ8+ffs1WIuzlSjhPCT9ri0w7Xv/4eyoyXDwIOTKRbqubbAVyP9o7+0+NkTYmbLMzrk79jcPDoDQ52yUD3HbpiciIiIpVoKT7j59+uDn50e+fPmYOnUqU6dOjbPdnDlzEi04ERGRZMHTE0qXtkq3bmCa8M8/VsK9Zs3txdm2brXKqFHW50JCHAn44Z3HeWr4/xFsWHPOMQwYN4T9g74h73tt3Hp7MTZE2Bk+3x6r/twVGD7fTo8GKPEWERFxUYKT7pYtW953yzAREZEngmFAgQJWadfOqjt69HYCvmoV7NxprZoeEQGTJ5Mj5rPm7Z8mkLtve7aVfpaSz7u3x9tuN5myLHbCfaepy+2Uzauh5iIiIq5IcNKtLblERETuIVs258XZzp+HdeswV63iwoRpBF04xt2pqgFg2snUogH2rq2wlS4NpUpBhgyPOHgIP2o6DSmPy9nLVrsi2ZV0i4iIJNQDrV4uIiIi95E2LdSrx+7idbjw+yGe2T4bDzN2T7IBZDmxF95//3blU09ZyffTT9/++dRTSbpv+IX7JNyuthMRERGLkm4REZEkdOEKnA7OaSXMZuzjdsNGeJ7KZMyfiQz7tlrD0f/7zyq//HK7Yfr0sRPxvHmtBdwSQVBA4rYTERERi5JuERGRJBQUALPKhtJg+VBMcBpiHpODf/3aeDp2zk+G7DZra7Lt260F2bZssX7u2gVnzsCSJVaJkTo1lCxpJeAxyXihQtbCby4qlM0gOIB7DjFPl9pqJyIiIgmnpFtERCQJFcpmcDN3COMbT6DTrA7Y71i93DBNxjeeQFTufLeT2TRpbm85FuP6dfj7b+dEfPt2uHzZedsyAF9fKFbMuUe8WDGr/h5sNoPQ52xxrl4eo1V1mxZRExERcZGSbhERkSTkSGavtGJP7ko891cYGc4d4nRwTpaVa83J9Pnocb9k1tcXypa1Soxbt2DPHudEfOtWKxHfuNEqMTw8oHBh50S8ZEmrp/wO5UNs9GgAv87Yy9Mrpzji3FotlLqvF9B2YSIiIg9ASbeIiEgSi0lmw5blY0b6zxz16VJDj+q2B0tmvbysHuxixaBlS6vObof9+50T8S1brKHpf/9tlalTb58jJMQ5ES9VivJrfqFc/3bYsXrkbTaDl1YMxcg+CUJCH+6LEBEReQIp6RYREXkEyofYKJYDWo+xhm/3ecVGiZyJvOe1zWYl0iEh0LixVWea1h7iW7Y4J+L//Xd7H/GZM51OYwAeMW+i//ezbVt49lnIly/x4hUREXkCKOkWERF5RO5MsAs9lcgJd3wMw9pu7KmnoEGD2/WnT98ekh6TkO/bF/957HaoUwdeeQUKFrQWbCtYEIKCkvwWREREUjIl3SIiIk+iDBmgZk2rxHj1VZg710qw47JvHwwe7FyXKdPtBDymFCpkJfmJtJ2ZiIhISqakW0RERCwhIVbPeFxsNqhRAwoUsBZw27PHGqJ+8qRVVqxwbu/vb7W9MyEvVMi6ho/PQ4dqt5uEHzW5cMXalq1Qtkc0ckBERMRFSrpFRETE0qYNDB4caz9xh7Fjned0X74Me/daCXh4+O1kPCICrl69PXz9TjYb5M4dOxkvWBCCgxMU5oYIu9MK6xHBOZlZNZR6TZPfCut6OCAiIkq6RURExBISApMmQdu2RN+xerlhmlb93YuopU4NZcpY5U63bsGBA7GT8fBwuHjRWmF9/35YsMD5cxkyxD1UPUcOx1D1DRF2tvzfZPrN7oh5x57nDZYPZfzuCfBJ62STeG+IsDNlmZ1zV27XBQdA6HMPuGK9iIikSEq6RURE5LbQUG6Wr8Rvb08kw7lDlH8hF54d2rm2armXF+TPb5U7F28zTWsoelzJ+JEj1uJup0/DqlXO5/Pzg/z5MQsW4urJdHRcMRYbJpgx57VedprVgf5FK1H2/QJu703eEGFn+PzYc+PPXYHh8+30aIASbxGRJ4SSbhEREXFi5svHjLrWfuJTu3rg6ZVICaxhQObMVqlWzfnYlSvwzz+xk/GICLh2DbZvx9i+nerxnRowMak/410OFu1DnmfyWou8xTdHPQnZ7SZTlsWzGN3/TF1up2xeDTUXuR9N0ZDHgZJuERERcb+AAHj6aavcKSoKDh6E8HAOrgzHL2w8Gc8diHPOuc00KbN7ATT837B1X1/IlcuaQ547t/Pr3LkhbdokScrDj5pOQ8rjcvay1a5IdiUPIvHRFA15XCjpFhERkeTL09Ma2p4vH5El67Ft61nqrxiGhz06VlMTgzNBTxGYysD7+H9w/frtXvO4pEkTOxG/MzkPCHigkC/cJ+F2td2joN5ESW40RUMeJ0q6RUREJEUolM1gZtVQGiwfGmuFdRMwDYMxPX/n4/cLQNQta574gQNWT/mBA87l5Em4dAl27LBKXNKnj7uHPFcuyJnT6kmPQ9AduXrm0xFU32itsn46OCfLy4ZyIkNIrHbulJJ6E/Vw4MmgKRryuFHSLSIiIimCzWZQr2kBxu+eQKdZHbDfsXq5YZqMbzyBuk3yW/8I9/aGvHmtEperV+HQodtJ+N2J+fnzcOaMVTZujPscWbPGOXS9UM5cpPfLQtGV0+gY1yrrjSew87lWFMrm/mQhJfUmppSHAynlwUByjlNTNORxo6RbREREUozyITb4pDUfF6lE6RVhjh7krdVbU7dJ/oQnX/7+1nZkhQrFffzixbh7yGPqIiPh2DGrrF3r9FEbMMZmA7vd6o2PY5X13a8VxWaUe5CvINGkpN7ElPJwIKU8GEjucabEKRoi96KkW0RERFKU8iE2ivXOT2t/a4X1Pq/YaJAzkRPDwEAoUcIqdzNNqwc8vl7yQ4cwbt6M87QGYJh2ir76jDU8PWtWq2TLZpWY13f+9PNLvPu6Q0rpTUwpDwdS0oOB5B5nQqdeJJcpGiL3o6RbREREUpw7k6tCTz3iZMswIEMGq5SLo7fabodXXoFffrFex+f6dfj3X6vcS9q0sZPyu19nyAAeHi7dxp29hPeae+7u3sSU8HAgpTwYSClxFspmEBzAPX/v6VKTLKZoiCSEkm4RERGRxGSzWcPWFyyI+7iHB3TvDp07w9Gj1hD1o0djvz561ErMz5+3ys6d8V/TwwOyZIk/KY95nSaN4yMxvYTV/poS79zzlWVbub03MSUMNU4JDwYg5cRpsxmEPmeLs0c+RqvqNrdPexBJKCXdIiIiIomtTRsYPDjWKuuAldh27Hh7Ebb4mCZcuBB/Uh7z+uRJiI6G//6zyr0EBDgS8MJZs/H2QR8qrZ2MLWbCOTjNPT9ZtBKFshV40G8hUaSEocYp4cGAK9d3d5xgDXHv0QDCltk5f0c86VJbCbe7h8CLuEJJt4iIiEhiCwmBSZOgbVuisXqQbTZrlXUmTbL2Hr8fw7CGlqdNC0WKxN8uKspKvO/Va37smLU43JUr8M8/8M8/GEDl+C4NYNr5YNRz2P58GjJmtEqGDLFfZ8gAPj6uf0cJdOdQ4/iGwbt7qHFKeDDgyvXdHWeM8iE2iuWA1mOsHu8+r9gokdjrN4g8Akq6RURERJJCaCg3y1fit7cnkuHcIcq/kAvPDu0SlnC7wtPz9jDye7ly5faK6zGJ+MSJmP9LwO9mAN6nj8Ovv94/hjRp4k7M40rU06e3Yk6gmKHGW/5vcrzD4Et/0lpzkBMgpcR5J7eu3+CC5LwFm7ifkm4RERGRJGLmy8eMutYq61O7euDp5cZ/hAcEQP78Volx7hzGkCHW8PS72WzQsCHUrg2nTsHp09bPO1+fPm31tF+6ZJV9+xIWS7p0cfeax5W0p01LefZT7seOGKY91jD4N2d3wPi0KpDIDzNckFLmIKeUOFOa5L4Fm7ifkm4RERGRJ9W95p4DfP75vXvmY+ad352M3/065v2ZM9Znzp61yp4994/RwwN8fDDiWAneEXOfPtCtGwQHW8Pxg4OTdMh7XGLmIP86Yy9Pr7w9BH5rtVDqvl4g2SRfmiuduFLCFmwx1BvvPkq6RURERJ5UDzv3/M555wUSsOBadLSVbMeXnN+dqF+4YH3m6tX4z2m3w08/WeVOfn5W8n1nIn7n67jqgoOtofK2B0uSyq+ZSrn+7bDf8V2+tGIoRvZJEBL6QOdMCpornThSyhZskLJ64x/HhwNKukVERESeZI9q7jlYvdYxw8bvtThcjJs3rd7x//s/mDo17n3PDQMyZ4ZUqeDcOStRt9vh2rXbC8m5wmaDoKCEJeh3vj57Ftq1w7DbceyYHjNqv21bePbZpPlOH1BKmSudnKWULdhSUm98Sno44Aol3SIiIiJPuGQ19/xO3t7WFmd9+8LUqXEPgzcMWLXqdkJrt1vzy8+ft5Lwc+fifh1X3dWr1udj6hOLaUKLFlC/PgQGWr3padLE/foRDYs3IiJounASGc4dwvNkLmjf1hr5IAmWErZgS2m98Snl4YCrlHSLiIiISPLmyjD4mJ7qoKB774Melxs37p2U3yuRj6sXPoZpwp9/WuV+vL3vn5gn5LWXV/zXCAvDu1076sd8l38bMGyI9V2Ghrr2nT3BUsIWbCmlNz4lPRx4EEq6RURERCT5exTD4H18rKHqmTO79jm7HXr1glGj4l4J3jCgTBkoVuz2Su8XLzq/vvK/zOjmTWtu++nTD3cvvr5xJ+MAP/+MYZqxh8G3aQP+/lCwoLXafapU1k9/f+se3CA598inhC3YUkJvPKSchwMPSkm3iIiIiKQIyXYYvM0Gb74JX34Z/xD477+/9wOC6Ggr8b47Gb/79f2Oxyw6d/26VU6eTPh9mCY0aRK73jCsxDsgwDkZv/N1XHX3e32/ZD6Z98jfuQVb5tMRVN94e9X65WVDOZEhxO1bsKWE3nhIOQ8HHpSSbhERERGRh/WwK8F7eFi90YGBDxfHnfumx5WYjx8PO3ZYCXZcUqWySmSkVcBqG/PelST+fu6VzJsmLFmCAXH3yJ87Z00f8Pe3VqqP7+e9htkngvIhNgbeCiP34A6YhvV7xzBosHwoBwZ9Q96QNkl6/fu5szc+vgcD7u6Nh5TzcOBBKekWEREREUkMj3Il+Ph4et5eUT0uhw7Bzp1xD4P38IAuXWDQIOu93W71nEdGWr3wV67cfh1XXXyv76572GTeNKFnz4R/H3El4/dK1F35efw4eT/oAKYdYp5jmNbLvO+3h0ZV3LpqfUxv/Jb/m0zH2R1jPRgY33gCpT9p7fZ50inl4cCDUtItIiIiIpJIku0Q+Bht2sDgwXEPgzdNa3uzGDbb7Z7nTJkSL4aEJPOjRsHmzfH3yGfKBHnyWFvDXbtmne/OnzGfi4qCy5et8ggZYN1nhQqQI4c1x97X11o3IOb13e9dfR3XMU/PWEP2y7Ofcj92xIjjwcCbsztgfFoVcO92dinl4cCDUtItIiIiIvKkeNhh8IkhIcn87t2wdWv8PfKtW9/ukb+baVor0ceVjD/sz7vrYubQx+fMGas8KjZb7GT84kWMOFbXN8D6rl55BSpWtFbO9/a2Phvz+u73D3rM29uK7R5SwsOBB6WkW0RERETkSZIchsHfjys98nczjNsJZ9q0SRgk0KcPDB0a98MBm81amK5Fi9sL2924cfv13e8f9FhU1O1rxowiuN/DgBimCX//bZWk5ul572T95Mn4Hw4YhvVQKL4HLcmc25PusWPHMmTIEI4fP06RIkUYOXIklStXjrf9ypUr6dGjB7t27SJr1qz07t2bTp06PcKIRURERERStmQ/DD459MgnRNu2MGRI3A8HAAYMSPpYo6PjT9Bv3IDRo+GHH+LeS95mg8qV4bnnrO3qbtywfsaUO9/f61hc7+98GADW+6iohD8QuJNpwsGDD/T1JAduTbpnzpxJt27dGDt2LJUqVeLrr7+mTp067N69mxw5csRqf+DAAerWrUv79u2ZNm0aa9eupXPnzmTIkIFGjRq54Q5ERERERCRJpIQe+eTwcMDDw1rUzd8/7uPp0sEPP8T/YGDixKSJMzoabt1KeAL/zTcwd27cDwcMA3LlSvwYHxG3Jt3Dhw+nbdu2tGvXDoCRI0eyePFixo0bx6A4hg6MHz+eHDlyMHLkSAAKFSrEpk2bGDp0qJJuEREREZHHTLLvkYfk/3DAXQ8GPDys4uubsPZ58sDcuQ82pSCZc1vSffPmTTZv3kyfPn2c6mvWrMm6devi/Mz69eupWbOmU12tWrWYNGkSt27dwiuJ9+F7VEzTJOqGtZVCZKQH0cnxLxfg+i2TqBvW/BXF+XBSQoygOBNbSogzJcQIijOxpYQ4U0KMoDgTW0qIMyXECIozsV3PkoXvarwPwITOHvh6Gbe3RksOXnuNm8VLsbz7VDJeOEzp53Jitm6FmTdv8okza1Y8x47Fu3Pn5D2l4EGYbnL06FETMNeuXetU/9lnn5n58+eP8zMhISHmZ5995lS3du1aEzCPHTsW52euX79uXrx40VGOHDliAubFixcT50aSwJnzl02shfpUVFRUVFRUVFRUVFSemJIXzIFgfg/m1W49TDMiwt3pWbwuXrxowv1zy3uv2/4IGHftI2eaZqy6+7WPqz7GoEGDCAwMdJTs2bM/ZMRJzzeZPsETERERERFJSvuB94FmgP3TR7AQ3SPgtuHl6dOnx8PDgxMnTjjVnzp1ikzx7NeXOXPmONt7enqSLl26OD/Tt29fevTo4Xh/6dKlZJ94+/v7c+XKFXeHISIiIiIi4jb+8S0Ol8K4Len29vamdOnSLFmyhIYNGzrqlyxZwksvvRTnZypUqMAvv/ziVPf7779TpkyZeOdz+/j44OPjk3iBPwKGYZAqVSp3hyEiIiIiIiIPya3Dy3v06MHEiROZPHky4eHhdO/encOHDzv23e7bty8tW7Z0tO/UqROHDh2iR48ehIeHM3nyZCZNmkSvXr3cdQsiIiIiIiIi8XLrlmFNmjTh7NmzDBgwgOPHj1O0aFEWLlxIzpw5ATh+/DiHDx92tM+dOzcLFy6ke/fufPXVV2TNmpVRo0ZpuzARERERERFJlgwzZiWyJ8SlS5cIDAzk4sWLpEmTxt3hiIiIiIiISAqU0NzS7auXi4iIiIiIiDyulHSLiIiIiIiIJBEl3SIiIiIiIiJJREm3iIiIiIiISBJR0i0iIiIiIiKSRJR0i4iIiIiIiCQRJd0iIiIiIiIiScTT3QE8ajHbkl+6dMnNkYiIiIiIiEhKFZNTxuSY8Xniku7Lly8DkD17djdHIiIiIiIiIind5cuXCQwMjPe4Yd4vLX/M2O12jh07RurUqTEMw93hxOvSpUtkz56dI0eOkCZNGneHI3HQ7yh50+/n/9u7+5iqy/+P4y9QbpShdqMCooiuYCZjihp4g00HinmXLaQMoRuXpqbppqzWtD9alMp38y7LodJq3RjonGaG40bz/uZQ3qJLUrcgpwmhTgW9fn/0k+3I4aDm55wj5/nY2OSc93Xt+py3b67P+3zgczwb+fF85MizkR/PRn48HznybI9Kfowxqq2tVVhYmHx9m/7Lba+70u3r66vw8HB3L+OetWvXzqP/o4EceTry49nIj+cjR56N/Hg28uP5yJFnexTy4+wK9x3cSA0AAAAAAIvQdAMAAAAAYBGabg8VEBCgBQsWKCAgwN1LQRPIkWcjP56N/Hg+cuTZyI9nIz+ejxx5tpaWH6+7kRoAAAAAAK7ClW4AAAAAACxC0w0AAAAAgEVougEAAAAAsAhNtxutXLlSkZGRCgwMVFxcnHbu3Ok0vrS0VHFxcQoMDFSPHj20atUqF63Uu3z88cfq37+/goOD1alTJ40fP17l5eVOx5SUlMjHx6fR18mTJ120au+ycOHCRq91SEiI0zHUj+t0797dYT1Mnz7dYTz1Y70dO3ZozJgxCgsLk4+PjzZu3Gj3vDFGCxcuVFhYmNq0aaPnnntOx44da3be/Px89erVSwEBAerVq5c2bNhg0RG0bM7yU1dXp/nz5ysmJkZBQUEKCwvT5MmT9eeffzqdc926dQ7r6vr16xYfTcvUXA1lZmY2eq3j4+ObnZcaejiay4+jWvDx8dGiRYuanJMaenju5dy6pe9DNN1u8t1332n27Nl6//33ZbPZNGTIEKWkpOjcuXMO4ysqKjRq1CgNGTJENptN7733nt555x3l5+e7eOUtX2lpqaZPn669e/eqsLBQ9fX1Sk5O1tWrV5sdW15ersrKyoavp556ygUr9k7PPPOM3Wt95MiRJmOpH9c6cOCAXW4KCwslSS+99JLTcdSPda5evarY2FgtX77c4fOffvqpcnJytHz5ch04cEAhISFKSkpSbW1tk3Pu2bNHEydOVHp6un799Velp6crNTVV+/bts+owWixn+bl27ZoOHz6sDz74QIcPH1ZBQYFOnTqlsWPHNjtvu3bt7GqqsrJSgYGBVhxCi9dcDUnSyJEj7V7rH3/80emc1NDD01x+7q6DNWvWyMfHRy+++KLTeamhh+Nezq1b/D5k4BYDBgwwU6dOtXssOjraZGVlOYyfN2+eiY6OtnvsrbfeMvHx8ZatEf+6cOGCkWRKS0ubjCkuLjaSzOXLl123MC+2YMECExsbe8/x1I97zZo1y/Ts2dPcvn3b4fPUj2tJMhs2bGj4/vbt2yYkJMRkZ2c3PHb9+nXTvn17s2rVqibnSU1NNSNHjrR7bMSIESYtLe2hr9mb3J0fR/bv328kmbNnzzYZs3btWtO+ffuHuzgYYxznKCMjw4wbN+6+5qGGrHEvNTRu3DgzbNgwpzHUkHXuPrf2hn2IK91ucPPmTR06dEjJycl2jycnJ2v37t0Ox+zZs6dR/IgRI3Tw4EHV1dVZtlZINTU1kqTHH3+82dg+ffooNDRUw4cPV3FxsdVL82qnT59WWFiYIiMjlZaWpjNnzjQZS/24z82bN/XVV1/p9ddfl4+Pj9NY6sc9KioqVFVVZVcjAQEBGjp0aJN7ktR0XTkbg4ejpqZGPj4+6tChg9O4K1euKCIiQuHh4Ro9erRsNptrFuilSkpK1KlTJz399NOaMmWKLly44DSeGnKPv/76S1u2bNEbb7zRbCw1ZI27z629YR+i6XaDixcv6tatW+rcubPd4507d1ZVVZXDMVVVVQ7j6+vrdfHiRcvW6u2MMZozZ44GDx6s3r17NxkXGhqqL774Qvn5+SooKFBUVJSGDx+uHTt2uHC13uPZZ5/Vl19+qW3btmn16tWqqqrSwIEDdenSJYfx1I/7bNy4UdXV1crMzGwyhvpxrzv7zv3sSXfG3e8Y/HfXr19XVlaWXnnlFbVr167JuOjoaK1bt06bNm3SN998o8DAQA0aNEinT5924Wq9R0pKir7++msVFRVpyZIlOnDggIYNG6YbN240OYYaco+8vDwFBwdrwoQJTuOoIWs4Orf2hn2otbsX4M3uvupjjHF6JchRvKPH8fDMmDFDv/32m3755RencVFRUYqKimr4PiEhQefPn9fixYuVmJho9TK9TkpKSsO/Y2JilJCQoJ49eyovL09z5sxxOIb6cY/c3FylpKQoLCysyRjqxzPc7570oGPw4Orq6pSWlqbbt29r5cqVTmPj4+PtbuQ1aNAg9e3bV8uWLdPSpUutXqrXmThxYsO/e/furX79+ikiIkJbtmxx2txRQ663Zs0aTZo0qdm/zaaGrOHs3Lol70Nc6XaDJ598Uq1atWr0LsyFCxcavVtzR0hIiMP41q1b64knnrBsrd5s5syZ2rRpk4qLixUeHn7f4+Pj43k31EWCgoIUExPT5OtN/bjH2bNntX37dr355pv3PZb6cZ07d/6/nz3pzrj7HYMHV1dXp9TUVFVUVKiwsNDpVW5HfH191b9/f+rKRUJDQxUREeH09aaGXG/nzp0qLy9/oH2JGvrvmjq39oZ9iKbbDfz9/RUXF9dwR987CgsLNXDgQIdjEhISGsX//PPP6tevn/z8/CxbqzcyxmjGjBkqKChQUVGRIiMjH2gem82m0NDQh7w6OHLjxg2dOHGiydeb+nGPtWvXqlOnTnr++efveyz14zqRkZEKCQmxq5GbN2+qtLS0yT1JarqunI3Bg7nTcJ8+fVrbt29/oDcLjTEqKyujrlzk0qVLOn/+vNPXmxpyvdzcXMXFxSk2Nva+x1JDD665c2uv2Ifccfc2GPPtt98aPz8/k5uba44fP25mz55tgoKCzB9//GGMMSYrK8ukp6c3xJ85c8a0bdvWvPvuu+b48eMmNzfX+Pn5mR9++MFdh9BiTZs2zbRv396UlJSYysrKhq9r1641xNydn//9739mw4YN5tSpU+bo0aMmKyvLSDL5+fnuOIQWb+7cuaakpMScOXPG7N2714wePdoEBwdTPx7k1q1bplu3bmb+/PmNnqN+XK+2ttbYbDZjs9mMJJOTk2NsNlvD3a+zs7NN+/btTUFBgTly5Ih5+eWXTWhoqPnnn38a5khPT7f7hI1du3aZVq1amezsbHPixAmTnZ1tWrdubfbu3evy43vUOctPXV2dGTt2rAkPDzdlZWV2+9KNGzca5rg7PwsXLjQ//fST+f33343NZjOvvfaaad26tdm3b587DvGR5yxHtbW1Zu7cuWb37t2moqLCFBcXm4SEBNOlSxdqyEWa+xlnjDE1NTWmbdu25rPPPnM4BzVknXs5t27p+xBNtxutWLHCREREGH9/f9O3b1+7j6TKyMgwQ4cOtYsvKSkxffr0Mf7+/qZ79+5N/tDAfyPJ4dfatWsbYu7OzyeffGJ69uxpAgMDzWOPPWYGDx5stmzZ4vrFe4mJEyea0NBQ4+fnZ8LCwsyECRPMsWPHGp6nftxv27ZtRpIpLy9v9Bz143p3Ppbt7q+MjAxjzL8f17JgwQITEhJiAgICTGJiojly5IjdHEOHDm2Iv2P9+vUmKirK+Pn5mejoaN4oeUDO8lNRUdHkvlRcXNwwx935mT17tunWrZvx9/c3HTt2NMnJyWb37t2uP7gWwlmOrl27ZpKTk03Hjh2Nn5+f6datm8nIyDDnzp2zm4Mask5zP+OMMebzzz83bdq0MdXV1Q7noIascy/n1i19H/Ix5v/vJgQAAAAAAB4q/qYbAAAAAACL0HQDAAAAAGARmm4AAAAAACxC0w0AAAAAgEVougEAAAAAsAhNNwAAAAAAFqHpBgAAAADAIjTdAAAAAABYhKYbAAAAAACL0HQDAOAlMjMzNX78eHcvAwAAr0LTDQAAAACARWi6AQCAcnJyFBMTo6CgIHXt2lVvv/22rly5YhezevVqde3aVW3bttULL7ygnJwcdejQwT0LBgDgEUHTDQAA5Ovrq6VLl+ro0aPKy8tTUVGR5s2b1/D8rl27NHXqVM2aNUtlZWVKSkrSRx995MYVAwDwaPAxxhh3LwIAAFgvMzNT1dXV2rhxY7Ox69ev17Rp03Tx4kVJUlpamq5cuaLNmzc3xLz66qvavHmzqqurLVoxAACPPq50AwAAFRcXKykpSV26dFFwcLAmT56sS5cu6erVq5Kk8vJyDRgwwG7M3d8DAIDGaLoBAPByZ8+e1ahRo9S7d2/l5+fr0KFDWrFihSSprq5OkmSMkY+Pj904flkOAIDmtXb3AgAAgHsdPHhQ9fX1WrJkiXx9/30//vvvv7eLiY6O1v79+xuNAwAAztF0AwDgRWpqalRWVmb3WMeOHVVfX69ly5ZpzJgx2rVrl1atWmUXM3PmTCUmJionJ0djxoxRUVGRtm7d2ujqNwAAsMeN1AAA8BKZmZnKy8tr9HhGRoZiY2O1aNEiVVdXKzExUZMmTdLkyZN1+fLlho8FW716tT788EP9/fffGjFihPr166fly5ersrLSxUcCAMCjg6YbAAA8kClTpujkyZPauXOnu5cCAIDH4tfLAQDAPVm8eLGSkpIUFBSkrVu3Ki8vTytXrnT3sgAA8Ghc6QYAAPckNTVVJSUlqq2tVY8ePTRz5kxNnTrV3csCAMCj0XQDAAAAAGARPqcbAAAAAACL0HQDAAAAAGARmm4AAAAAACxC0w0AAAAAgEVougEAAAAAsAhNNwAAAAAAFqHpBgAAAADAIjTdAAAAAABYhKYbAAAAAACL/B+a3dbhCB13zwAAAABJRU5ErkJggg==" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 8 }, { "cell_type": "code", "id": "a9b0c1d2", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:49:00.969511Z", "start_time": "2026-06-09T18:49:00.831839Z" } }, "source": "e = dy - pmod.predict(dy)\nprint(f'Residual std: {e.std():.4f}')\nacf_e, pacf_e, gpac_e = uniAnal(e, na=20, nump=10, nrg=6, ncg=6)", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Residual std: 0.1360\n" ] }, { "data": { "text/plain": [ "
" ], "image/png": 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" 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 9 }, { "cell_type": "code", "id": "b0c1d2e3", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:49:05.538797Z", "start_time": "2026-06-09T18:49:05.523661Z" } }, "source": [ "# Chi-square statistic for ARIMA model\n", "passed, q_arima, n_arima, pval = uniChi(pmod, dy)\n", "\n", "print(f'\\nChi-square test on ARIMA model: Q={q_arima:.2f}, df={n_arima}, pass={bool(passed)}, pval={pval:.3f}')\n", "print('(pass=True means residuals are consistent with white noise at 95% confidence)')\n" ], "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "pval: 0.32773951655147526\n", "alpha: 0.05\n", "pr: 0.6722604834485247\n", "q: 21.169511113923555\n", "\n", "Chi-square test on ARIMA model: Q=21.17, df=19, pass=True, pval=0.328\n", "(pass=True means residuals are consistent with white noise at 95% confidence)\n" ] } ], "execution_count": 10 }, { "cell_type": "markdown", "id": "c1d2e3f4", "metadata": {}, "source": "## Conclusion\n\nThe chi-square test passes (p-value > 0.05), the residual ACF and PACF fall within the 95% confidence bounds, and the theoretical and experimental ACFs of $\\nabla y$ are broadly consistent — confirming that the **ARIMA(1, 1, 0)** model is validated for Box-Jenkins Series C.\n\nThe fitted pole-zero map from `pmodpzplot` confirms that the AR polynomial is stable (pole inside the unit circle).\n\nIf the residuals show remaining structure, return to **Step 2** and adjust $n_d$ or $n_c$, or use `selpmod` in the next section for an automated grid search. The BIC-optimal model identified by `selpmod` is typically **ARIMA(1, 1, 1)**, which achieves an even lower Q statistic." }, { "cell_type": "markdown", "id": "d2e3f4a5", "metadata": {}, "source": "## Automated Model Selection with `selpmod`\n\n`selpmod` searches a grid of ARMA orders applied to the differenced series (fixed $d = 1$) and selects the best ARIMA structure by AIC and BIC. We search over $n_d \\in \\{1, 2, 3\\}$ and $n_c \\in \\{0, 1, 2, 3\\}$ — 12 combinations — to verify the manually chosen structure." }, { "cell_type": "code", "id": "e3f4a5b6", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:49:10.025579Z", "start_time": "2026-06-09T18:49:09.889549Z" } }, "source": "arima_spec = {\n 'models': [{\n 'type': 'arma',\n 'nc': [0, 1, 2, 3],\n 'nd': [1, 2, 3],\n 'diff': [1]\n }]\n}\nresult = selpmod(arima_spec, y)\naicmod = result['arma']['aicmod']\nbicmod = result['arma']['bicmod']\naicstat = result['arma']['aicstat']\nbicstat = result['arma']['bicstat']", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Selecting the best ARMA prediction model\n", "arma: Combination 1 out of 12 total [nc=0, nd=1]. aic = -3.9784, bic = -3.9632\n", "arma: Combination 2 out of 12 total [nc=0, nd=2]. aic = -3.9696, bic = -3.9392\n", "arma: Combination 3 out of 12 total [nc=0, nd=3]. aic = -3.9607, bic = -3.9151\n", "arma: Combination 4 out of 12 total [nc=1, nd=1]. aic = -3.9696, bic = -3.9392\n", "arma: Combination 5 out of 12 total [nc=1, nd=2]. aic = -3.9640, bic = -3.9185\n", "arma: Combination 6 out of 12 total [nc=1, nd=3]. aic = -3.9528, bic = -3.8921\n", "arma: Combination 7 out of 12 total [nc=2, nd=1]. aic = -3.9607, bic = -3.9151\n", "arma: Combination 8 out of 12 total [nc=2, nd=2]. aic = -3.9552, bic = -3.8944\n", "arma: Combination 9 out of 12 total [nc=2, nd=3]. aic = -3.9512, bic = -3.8753\n", "arma: Combination 10 out of 12 total [nc=3, nd=1]. aic = -3.9556, bic = -3.8949\n", "arma: Combination 11 out of 12 total [nc=3, nd=2]. aic = -3.9469, bic = -3.8710\n", "arma: Combination 12 out of 12 total [nc=3, nd=3]. aic = -4.0059, bic = -3.9148\n" ] } ], "execution_count": 11 }, { "cell_type": "code", "id": "f4a5b6c7", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:49:12.909527Z", "start_time": "2026-06-09T18:49:12.725929Z" } }, "source": "print(f'Best AIC model: ARIMA(nd={int(aicmod.nd[0])}, d=1, nc={int(aicmod.nc[0])})')\nprint(f'Best BIC model: ARIMA(nd={int(bicmod.nd[0])}, d=1, nc={int(bicmod.nc[0])})')\n\nprint('\\n=== Best AIC model ===')\npmoddisp(aicmod, aicstat)\npmodpzplot(aicmod)\nplt.show()\n\nprint('\\n=== Best BIC model ===')\npmoddisp(bicmod, bicstat)\npmodpzplot(bicmod)\nplt.show()", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Best AIC model: ARIMA(nd=3, d=1, nc=3)\n", "Best BIC model: ARIMA(nd=1, d=1, nc=0)\n", "\n", "=== Best AIC model ===\n", "Parameter estimates — ARMA model\n", "--------------------------------\n", " Param Value ±2σ 95% CI\n", " ----------------------------------------\n", " c1 -0.8055 0.1723 ( -0.9778, -0.6332)\n", " c2 1.0752 0.1261 ( 0.9491, 1.2013)\n", " c3 -0.0741 0.1760 ( -0.2501, 0.1019)\n", " d1 -1.5820 0.1045 ( -1.6865, -1.4776)\n", " d2 1.5928 0.0962 ( 1.4966, 1.6890)\n", " d3 -0.8015 0.1003 ( -0.9019, -0.7012)\n", "\n", " Residual std σ = 0.131388\n", " Residual var σ² = 0.017263\n" ] }, { "data": { "text/plain": [ "
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ldDoRGRlZbnnpe6yKRYsW4YEHHsD999+POXPmlHksJycHABATE1PuebGxsdX6IWTJkiXlMqrql9ZgWJn9+/fjm2++wYABA6CUwtmzZ3H27FncdtttAP7/TgYXGzp0KNLS0vDdd9/hzTffhNPpxJ133lnh0FvKZrPhnnvuwTvvvIM33ngDLVq0QM+ePStdPykpCUFBQejfv7+npnbt2qFx48ZYvHgxSkpKqvT+KurvkJAQBAUFlVt+cc+fOnWqwr/bpT8EnTp1yvNn6Q/9F/t9T1Rn30IkJUDvAohqUuvWrdGlS5cKH3v//fdht9uxcuXKMjv+yu5oUNH9S1esWAGXy4Xk5GQ0atTIs7ymb31Vp04d+Pv7Y8SIEXj44YcrXKdJkyaa26hbty4AYPLkybj11lsrXKdly5Zlvq/qPVvr1q2L4ODgCgeDi18bAIYMGYIhQ4agoKAAmzZtwuzZszFs2DA0btwYCQkJVXq9mnLu3DmsXLkS06dPxxNPPOFZXlBQ4Bk+L6X0vc2bN6/SOyqUDgN169bFyy+/jJdffhmZmZn49NNP8cQTT+C3336r8OI+SYsWLcLYsWMxatQovPHGG+X+X5deFFbRwHr06FFERkZ6/ZqDBg1CWlpateq9uIeqauHChVBK4aOPPsJHH31U7vElS5bg6aefhr+/v2dZVFSUZ5+RkJCA1q1bo3fv3hg/frznAsKKjB49GtOmTcMbb7yBZ555ptL19u7di//+978AUOkdDVavXu35AVVCZGQkjh8/Xm55VlYWgP/POjIyElu2bCm33u9/8KrOvoVICgdZ8hmlH5Rw8T9ieXl5+Pe//+3VNgDA4XB4limlsGDBgporFEBISAiuu+46pKeno127dppH3Upr+f3RxJYtW6J58+bYsWMH/vnPf9ZofQMHDsQ///lPREZGXnKgvrjO3r17o3bt2li9ejXS09ORkJBQaf0SbDYblFJl/v8BF37d/vujYpXV1aNHD9SuXRu7d+/GI488UuXXbtiwIR555BGsW7cO3377rde1/5Ebyi9evBhjx47F3XffjbfffrvCH1gSEhLgdDqxdOlSDB061LM8MzMTKSkpuOOOO7x+3cjIyGoNwNVRUlKCJUuWoGnTpnj77bfLPb5y5Uq8+OKL+OKLL8r9iv5iPXv2xMiRI7FkyRKkpqZW+sNWXFwcJk6ciIyMDIwaNarS7ZXeQWHBggVo1qxZmcfy8vIwZMgQLFy4UHSQ7du3L2bPno3vv/8enTp18ixfunQpbDYbrrvuOgAX7tDx4Ycf4tNPPy1zesHv76kruW8h8hYHWfIZAwYMwEsvvYRhw4bh/vvvx6lTp/DCCy+UG2q03HDDDQgMDMRdd92FSZMmIT8/H/Pnz8eZM2dqvN5XXnkF1157LXr27ImHHnoIjRs3Rk5ODvbv34/PPvvMc15b06ZNERwcjHfffRetW7dGWFgY6tevj/r16+PNN9/EjTfeiMTERIwePRpxcXE4ffo0fvrpJ3z//fdYtmxZtWobN24cli9fjl69emH8+PFo164d3G43MjMzsWbNGjz66KPo2rUrpk2bhqNHj6Jv375o0KABzp49i1deeQV2ux29e/e+ZP01rVatWujVqxfmzJmDunXronHjxtiwYQOSkpJQu3btMuuWfiLUW2+9BafTiaCgIDRp0gSRkZGYN28eRo0ahdOnT+O2225DvXr1cOLECezYsQMnTpzA/Pnzce7cOVx33XUYNmwYWrVqBafTibS0NHz55ZeVHsUqlZ2djd27d1fpPXXs2FGzh5ctW4Z7770XHTp0wAMPPFDuiFvp88PCwvD000/j73//O+6++24MHz4cp06dwowZMxAcHIxp06ZVqR69fPHFF8jKysJzzz1X4W3C2rRpg9deew1JSUmagywAzJo1Cx988AGmTp2qeW7ws88+q7md4uJiLF26FK1bt8bYsWMrXKf0vr4nTpxAVFSU5vaqa/z48Vi6dCkGDBiAp556Co0aNcKqVavw+uuv46GHHvJcCzBy5EjMnTsXI0eOxDPPPIPmzZvj888/x+rVq8ttU2rfQuQ13S4zI6pBld1+6/cWLlyoWrZsqRwOh7riiivU7NmzVVJSUrmrvxs1aqQGDBhQ4TY+++wz1b59exUUFKTi4uLUxIkT1RdffFHuytzevXurq666qtzzK9s2KrgV0KFDh9SYMWNUXFycstvtKioqSnXv3l09/fTTZdZ77733VKtWrZTdblcA1PTp0z2P7dixQw0dOlTVq1dP2e12FRMTo66//nrPVd1KVT2/i+Xm5qonn3xStWzZUgUGBnpuFTZ+/HjPXSJWrlypbrzxRhUXF6cCAwNVvXr11E033aQ2btxYpforu2uBN/kBUHPmzPEsO3r0qPrzn/+s6tSpo5xOp+rfv7/68ccfVaNGjdSoUaPKPP/ll19WTZo0Uf7+/uWu2t6wYYMaMGCAioiIUHa7XcXFxakBAwaoZcuWKaWUys/PVw8++KBq166dqlWrlgoODlYtW7ZU06dPL3NnhYrU5F0LRo0a5dXzly5dqtq3b+/5fzpkyBC1a9cuzdcwgptvvlkFBgZ6bpFWkTvvvFMFBAR4+rOinik1ceJEBUBt2LBBKVX1vyMX37Wg9K4ZL7/8cqXrf/nllxXekeBipX8PSm8PV2rUqFEqNDS03PoV7Xt+/vlnNWzYMBUZGansdrtq2bKlmjNnjufuAqVK/36EhYUpp9Op/vznP6vvvvuuwjuLVGXfwrsWkDSbUjp/dA8RERERUTXwrgVEREREZEocZImIiIjIlDjIEhEREZEpcZAlIiIiIlPiIEtEREREpmS4+8i63W5kZWXB6XRW+VOGiIiIiMgalFLIyclB/fr14eenfczVcINsVlYW4uPj9S6DiIiIiHR05MgRNGjQQHMdww2yTqcTwIXia9WqpXM1l1dhYaHmR5FS9TBXOcxWRnZ2NuLj431yPyiNPSuH2crwxVxL94GlM6EWww2ypacT1KpVy+d24Dt27ED79u31LsNymKscZivLF/eD0tizcpitDF/OtSqnmBruk72ys7MRHh6Oc+fOcQdORD4pLy8Pf/3rXzFv3jwEBwfrXQ4R0WXlzSzIuxYYyJEjR/QuwZKYqxxmKyM4OBjTp0/nECuAPSuH2cpgrto4yBpIQIDhzvSwBOYqh9nKyMvLw+OPP468vDy9S7Ec9qwcZiuDuWrjqQVERAbD/SAR+TKeWmBS27Zt07sES2KucpgtmQ17Vg6zlcFctfGIrIG43e5L3viXvMdc5TBbGb68H5TGnpXDbGX4Yq48ImtSp06d0rsESyrNNb+wGImzViFx1irkFxbrXJW8y/F+2bMyHA4HHnvsMTgcDr1LsRz2rBxmK4O5auMgayC5ubl6l2BJzFUOs5XhcDjwl7/8hYOsAPasHGYrg7lq46VwBtKkSRO9S7AkvXM9dsqF1duP4NdzeYgOD0Zih3jERYbqWlNN0Ttbq3K5XHjwwQeRnJyM0FBr9IpRsGflMFsZzFVbjR+RfeaZZ9C9e3eEhISgdu3aNb15S9u1a5feJViSnrmu3n4E985fj2WpB7FhdxaWpR7EvfPXY80Oa9wXkD0ro6SkBGvWrEFJSYnepVgOe1YOs5XBXLXV+BHZwsJC3H777UhISEBSUlJNb97S+FOXjIpyvRznyGaddmHuyp1QClC4cE1l6Z8vfbYTzWNqIbaO3NG2y/Ee2bNkNuxZOcxWBnPVVq1B1u12Y86cOViwYAGOHDmC6OhoPPDAA5gyZQpmzpwJAFi8eHGVtlVQUICCggLP99nZ2dUpyRLcbrfeJVhSRbneMXedDpX8P6WAB9/6r6411AT2LJkNe1YOs5XBXLVV69SCyZMn47nnnsPUqVOxe/du/Oc//0F0dHS1Cpg9ezbCw8M9X/Hx8dXajhXwY+hkMFc5zFZGUFAQnnrqKQQFBeldiuWwZ+UwWxnMVZvX95HNyclBVFQUXnvtNYwdO7bS9RYvXoxx48bh7Nmzmtur6IhsfHw8759INS6/sBhDnlsNAPhgfF8EBcpe67h0w158vPkw3BX8FfOz2XBL18YY2buF2OvnFxZ7jjx/8nii+PslIiKqCaL3kf3pp59QUFCAvn37VrvAizkcDtSqVavMl686cOCA3iVYUkW5BgUGiH8N6NTIc07s7ykoDOjcSLwGaexZGbm5uWjevDlvuyOAPSuH2cpgrtq8HmSDg4Ml6iAAderU0bsES9Ir17jIUEwY1A4224UjsH7/+9NmAyYMaoe4CPPfVok9K8PtdmP//v08N04Ae1YOs5XBXLV5fcimefPmCA4Oxrp16zRPLSDv+fLRaEl65tqvfTyuio/A6vSL7iPbMd4SQyzAniXzYc/KYbYymKs2r4/IBgUF4fHHH8ekSZOwdOlSHDhwAJs2bfLcaiszMxPbt29HZmYmSkpKsH37dmzfvp2/IquCnTt36l2CJemda1xEKMb0bYXJt3bEmL6tLDPEAvpnS+Qt9qwcZiuDuWrz+mIv4MKvvWbPno0FCxYgKysLsbGxePDBBzF58mSMHj0aS5YsKfeclJQU9OnT55Lb9uYEXyIiKyouLsa6devQt29fBATwIj0i8i3ezILVGmQl+fIge+zYMcTFxeldhuUwVznMVg6zlcFc5TBbGb6Yq+hdC4iISFZ2djZatWrl0x8QQ0RUFRxkDcTXfuK6XJirHGYrh9cVyGDPymG2MpirNg6yBvL999/rXYIlMVc5zJbMhj0rh9nKYK7aeI6sgRQXF/PCDgHMVQ6zleHL+0Fp7Fk5zFaGL+bKc2RNiufDyWCucpitjNDQUHz77bcIDbXOrdqMgj0rh9nKYK7aOMgayJkzZ/QuwZKYqxxmK8PPzw8hISHw8+MuuqaxZ+UwWxnMVRtPLSAiMhjuB4nIl/HUApP66aef9C7BkpirHGZLZsOelcNsZTBXbRxkDSQ+Pl7vEiyJucphtmQ27Fk5zFYGc9XGQdZAeD6cDOYqh9mS2bBn5TBbGcxVG9MxkEOHDuldgiUxVznMVobT6cSmTZvgdDr1LsVy2LNymK0M5qqNF3sRERlMSUkJMjIy0KpVK/j7++tdDhHRZcWLvUyKP3XJYK5ymK0Ml8uFNm3awOVy6V2K5bBn5TBbGcxVGwdZAwkLC9O7BEtirnKYLZkNe1YOs5XBXLVxkDWQyMhIvUuwJOYqh9mS2bBn5TBbGcxVGwdZA0lPT9e7BEtirnKYrRx+PK0M9qwcZiuDuWrjxV5EREREZBi82Mukjh8/rncJlsRc5TBbGcXFxXjvvfdQXFysdymWw56Vw2xlMFdtHGQNhP9oyWCucpitjPPnz2PYsGE4f/683qVYDntWDrOVwVy1cZA1EH4MnQzmKofZktmwZ+UwWxnMVRsHWQPZsWOH3iVYEnOVw2zJbNizcpitDOaqjYOsgbRu3VrvEiyJucphtjL8/PzQunVrfsa6APasHGYrg7lq417SQPgpPjKYqxxmKyMsLAzffvstb4QugD0rh9nKYK7aOMgayMmTJ/UuwZKYqxxmK6OwsBCvv/46CgsL9S7FctizcpitDOaqjfeRJSIyGO4HiciX8T6yJrVnzx69S7Ak5iqH2ZLZsGflMFsZzFUbB1kDiY2N1bsES2KucpgtmQ17Vg6zlcFctXGQNZDAwEC9S7Ak5iqH2crw9/fHn/70J/j7++tdiuWwZ+UwWxnMVRsHWQPZt2+f3iVYEnOVw2xlhIaG4qWXXkJoaKjepVgOe1YOs5XBXLVxkDWQtm3b6l2CJTFXOcxWRkFBAZYvX46CggK9S7Ec9qwcZiuDuWrjIGsgP//8s94lWBJzlcNsZRQUFGDmzJkcZAWwZ+UwWxnMVRsHWQMJDg7WuwRLYq5ymC2ZDXtWDrOVwVy1cZA1kHr16uldgiUxVznMlsyGPSuH2cpgrto4yBpIWlqa3iVYEnOVw2xl2O12DB48GHa7Xe9SLIc9K4fZymCu2vjJXkRERERkGPxkL5P69ddf9S7BkpirHGYrIy8vD8OHD0deXp7epVgOe1YOs5XBXLVxkDWQ/Px8vUuwJOYqh9nKKCoqwn/+8x8UFRXpXYrlsGflMFsZzFUbTy0gIjIY7geJyJfx1AKT2rlzp94lWBJzlcNsyWzYs3KYrQzmqo2DrIG0aNFC7xIsibnKYbYyHA4HpkyZAofDoXcplsOelcNsZTBXbRxkDYSf4iODucphtjIcDgcmTpzIQVYAe1YOs5XBXLVxkDWQX375Re8SLIm5ymG2MlwuFwYMGACXy6V3KZbDnpXDbGUwV2282IuIyGC4HyQiX8aLvUxq7969epdgScxVDrMls2HPymG2MpirNg6yBsLPU5bBXOUwWzIb9qwcZiuDuWrjIGsgwcHBepdgScxVDrOVERQUhNdffx1BQUF6l2I57Fk5zFYGc9XGQdZAMjIy9C7BkpirHGYrIzAwEN27d0dgYKDepVgOe9Y7+YXFSJy1ComzViG/sFhzXb2z9aZWM9E7V6PjIGsg7du317sES2KucpitjNzcXAwbNgy5ubl6l2I57Fk5zFYGc9VWo4Ps4cOHce+996JJkyYIDg5G06ZNMX36dBQWFtbky1jWkSNH9C7BkpirHGYrw+12Y/fu3XC73XqXYjnsWTneZHvslAsL12VgdnI6Fq7LwLFTvNVcZdiz2gJqcmMZGRlwu91488030axZM/z444+477774HK58MILL9TkS1mS3W7XuwRLYq5ymC2ZDXtWTlWzXb39COau3AkbbFBQsMGGD1MPYMKgdujXPl64SvNhz2qr1iDrdrsxZ84cLFiwAEeOHEF0dDQeeOABTJkyBf379/esd8UVV2DPnj2YP38+B9kqiImJ0bsES2KucpgtmQ17tvoudd5p7Yi6l1wn67QLc1fuhFKAwoXb2Jf++dJnO9E8phZi64SK1GdW7Flt1RpkJ0+ejAULFmDu3Lm49tprcfz48UpPRj537hwiIiIq3VZBQUGZj1/Lzs6uTkmWsHXrVnTp0kXvMiyHucphtjJCQkLw6quvIiQkRO9SLIc9W313zF0nun2lgAff+q/oa5gRe1ab15/slZOTg6ioKLz22msYO3as5roHDhxAp06d8OKLL1a67owZMzBz5sxyy33xE22UUrDZbHqXYTnMVQ6zlcNsZTBX7+QXFmPIc6v1LsNrnzyeiKDAGj17Uje+2LPefLKX1/+Xf/rpJxQUFKBv376a62VlZaF///64/fbbNQfeyZMnY8KECZ7vs7OzER/vm+fInDx5ElFRUXqXYTnMVQ6zlZGdnY24uDgcO3bM536gl8aerb4PxvfVHA5PnDyJqLp1NbexdMNefLz5MNwVHEPzs9lwS9fGGNm7RbXqyy8sFj9qrAf2rDavB9mq3Jg3KysL1113HRISEvDWW29prutwOOBwOLwtw5JcLhebVQBzlcNs5fDWWzLYs9UXFBigOciWFOZf8ijogE6NkLz5UIWPKSgM6NzIMkdSawp7VpvXt99q3rw5goODsW5dxT/1HDt2DH369EGnTp2waNEi+PnxVrVV1bhxY71LsCTmKofZktmwZ+VUJdu4yFBMGNQONtuFI7B+//vTZgMmDGqHuIjqXehlZexZbV7/2BMUFITHH38ckyZNQmBgIHr06IETJ05g165duPHGG9GnTx80bNgQL7zwAk6cOOF5Hq+6u7Qff/wRbdq00bsMy2GucpgtmQ17Vk5Vs+3XPh5XxUdgdfoR/HouD9HhwUjsGM8hthLsWW3VOn4/depUBAQEYNq0acjKykJsbCwefPBBrFmzBvv378f+/fvRoEGDMs/x8poyn9S0aVO9S7Ak5iqH2coIDQ3F1q1bERrKf9hrGntWjjfZxkWEYkzfVoLVWAd7VpvXdy2Q5s2ValaTk5MDp9OpdxmWw1zlMFsZSilkZWWhfv36Pne1sjT2rBxmK8MXc/VmFuQJrAZy9OhRvUuwJOYqh9nKyMnJQYMGDZCTk6N3KZbDnpXDbGUwV208IktEZDDcDxKRL+MRWZPav3+/3iVYEnOVw2zJbNizcpitDOaqjYOsgWh9lC9VH3OVw2zJbNizcpitDOaqjYOsgfjaydyXC3OVw2xlOJ1OnDx5kvkKYKZymK0M5qqNg6yB/Pjjj3qXYEnMVQ6zleF2u5GSkgK32613KZbDnpXDbGUwV2282IuIyGC4HyQiX8aLvUzq2LFjepdgScxVDrMls2HPymG2MpirNg6yBsIbn8tgrnKYLZkNe1YOs5XBXLVxkDWQ+vXr612CJTFXOcxWDi/wkMGelcNsZTBXbRxkDeT777/XuwRLYq5ymK2MWrVqYf369Tw/VgB7Vg6zlcFctfFiLwMpKSmBv7+/3mVYDnOVw2xlFBcXY82aNejXrx8CAgL0LsdS2LNymK0MX8yVF3uZ1NmzZ/UuwZKYqxxmK+P8+fMYMGAAzp8/r3cplsOelcNsZTBXbRxkDeTcuXN6l2BJzFUOsyWzYc/KYbYymKs2nlpARGQw3A8SkS/jqQUmtXv3br1LsCTmKofZyvDz80PTpk3h58dddE1jz8phtjKYqzbuJQ2kYcOGepdgScxVDrOVERYWhu3btyMsLEzvUiyHPSuH2cpgrto4yBoIb3osg7nKYbYyCgsLsWTJEhQWFupdiuWwZ+UwWxnMVRsHWQP5+eef9S7BkpirHGYrIz8/H4888gjy8/P1LsVy2LNymK0M5qqNF3sRERkM94NE5Mt4sZdJHTx4UO8SLIm5ymG2ZDbsWTnMVgZz1cZB1kB45EUGc5XDbGX4+/ujT58+PvdpPpcDe1YOs5XBXLXx1AID8cWPobscmKscZiuH2cpgrnKYrQxfzJWnFpjU9u3b9S7BkpirHGYro6CgAA899BAKCgr0LsVy2LNymK0M5qqNR2SJiAyG+0Ei8mU8ImtSWVlZepdgScxVDrMls2HPymG2MpirNg6yBuJ2u/UuwZKYqxxmS2bDnpXDbGUwV20cZA2kQYMGepdgScxVDrOVYbfbce+998Jut+tdiuWwZ+UwWxnMVRsHWQPhCd0ymKscZisjODgYjzzyCIKDg/UuxXLYs3KYrQzmqo2DrIFcddVVepdgScxVDrOVkZeXh1dffRV5eXl6l2I57Fk5zFYGc9XGQdZAcnJy9C7BkpirHGYro6ioCIsWLUJRUZHepVgOe1YOs5XBXLVxkDWQ06dP612CJTFXOcyWzIY9K4fZymCu2ngfWSIig+F+kIh8Ge8ja1IZGRl6l2BJzFUOs5XhcDjw8MMPw+Fw6F2K5bBn5TBbGcxVGwdZA4mLi9O7BEtirnKYrQyHw4HZs2dzkBXAnpXDbGUwV20cZA0kICBA7xIsibnKYbYyXC4Xbr31VrhcLr1LsRz2rBxmK4O5auMgayAHDhzQuwRLYq5ymK2MkpISfPXVVygpKdG7FMthz8phtjKYqzZe7EVEZDDcDxKRL+PFXiZ1+PBhvUuwJOYqh9mS2bBn5TBbGcxVGwdZAwkJCdG7BEtirnKYrYygoCC8+OKLCAoK0rsUy2HPymG2MpirNp5aYCBKKdhsNr3LsBzmKofZymG2MpirHGYrwxdz5akFJrVt2za9S7Ak5iqH2crIzc1F06ZNkZubq3cplsOelcNsZTBXbTwiS0RkMNwPEpEv4xFZk/rll1/0LsGSmKscZktmw56Vw2xlMFdtHGQNpLCwUO8SLIm5ymG2ZDbsWTnMVgZz1cZTC4iIDKa4uBjr1q1D3759+ak+RORzeGqBSe3YsUPvEiyJucoxQ7b5hcVInLUKibNWIb+wWO9yqiQgIAAxMTHVHmLN+J4vFzP0rFkxWxnMVRsHWQNp1aqV3iVYEnOVw2xlZGdno2fPnsjOzta7FMthz8phtjKYq7YaH2QHDx6Mhg0bIigoCLGxsRgxYgSysrJq+mUsKT8/X+8SLIm5ymG22o6dcmHhugzMTk7HwnUZOHbKVeXn5uTkCFbmu9izcpitDOaqrcYH2euuuw4ffvgh9uzZg+XLl+PAgQO47bbbavplLOnXX3/VuwRLYq5ymG3lVm8/gnvnr8ey1IPYsDsLy1IP4t7567FmxxG9S/Np7Fk5zFYGc9VWrROw3G435syZgwULFuDIkSOIjo7GAw88gClTpmD8+PGe9Ro1aoQnnngCN998M4qKimC322uscCtq0aKF3iVYEnOVY7ZsL9f5olmnXZi7cieUAhQuXE9b+udLn+1E85haiK0Tesk68wuLEViNmnlebOXM1rNmwmxlMFdt1RpkJ0+ejAULFmDu3Lm49tprcfz4cWRkZJRb7/Tp03j33XfRvXv3SofYgoICFBQUeL735XPC9uzZg5YtW+pdhuUwVzlmy/aOuev0LgFKAQ++9V/tddwl6P7Iv3D3v/4Lm5//ZarMN5itZ82E2cpgrtq8PrUgJycHr7zyCp5//nmMGjUKTZs2xbXXXouxY8d61nn88ccRGhqKyMhIZGZm4pNPPql0e7Nnz0Z4eLjnKz4+vnrvxAJiYmL0LsGSmKscZivE5oegWlGAjdfj1jT2rBxmK4O5avP6PrJbtmxB165dcfDgQTRp0qTCdU6ePInTp0/j559/xsyZMxEeHo6VK1fCZrOVW7eiI7Lx8fE+eR/ZgoICOBwOvcuwHOYqxwzZ5hcWY8hzqwEAH4zvi6BA+fuyLt2wFx9vPgx3BbtXP5sNt3RtjJG9K/91YXZ2NqKjIvHriVPV2g/mFxZ7jj5/8njiZXnPZmGGnjUrZivDF3P15j6yXu/dgoODL7lO3bp1UbduXbRo0QKtW7dGfHw8Nm3ahISEhHLrOhwOn/sfVJk9e/agXbt2epdhOcxVjtmyDQoMuCxD3YBOjZC8+VCFjykoDOjcSLOOwv89drnq9SVm61kzYbYymKs2r39v1bx5cwQHB2Pduqqda1Z6wPfio65UMTaqDOYqh9lWLC4yFBMGtYPNduEIrN///rTZgAmD2iEuovILvUgWe1YOs5XBXLV5/aN+UFAQHn/8cUyaNAmBgYHo0aMHTpw4gV27dqFt27bYsmULrr32WtSpUwcHDx7EtGnT0LRp0wqPxlJZmZmZaNiwod5lWA5zlcNsK9evfTyuio/A6vQj+PVcHqLDg5HYMZ5DrM7Ys3KYrQzmqq1av7OaOnUqAgICMG3aNGRlZSE2NhYPPvgggoODkZycjOnTp8PlciE2Nhb9+/fH+++/z9MHqoAZyWCucpittriIUIzp6/2n8jidTuzbtw9Op1OgKt/GnpXDbGUwV21eX+wlzZsTfImIrKikpAQZGRlo1aoV/P15+y0i8i3ezIK8t4uBpKWl6V2CJTFXOcxWhsvlQps2beByVf0jbalq2LNymK0M5qqNR2SJiAyG+0Ei8mU8ImtSv/32m94lWBJzlcNsyWzYs3KYrQzmqo2DrIGcP39e7xIsibnKYbZywsLC9C7BktizcpitDOaqjacWEBEREZFh8NQCk/rhhx/0LsGSmKscZiujuLgYb7zxBoqLi/UuxXLYs3KYrQzmqo1HZA0kLy+vSh8BTN5hrnKYrQxf3g9KY8/KYbYyfDFXHpE1qaKiIr1LsCTmKofZktmwZ+UwWxnMVRsHWQPJysrSuwRLYq5ymC2ZDXtWDrOVwVy18dQCIiKDyc3NRdeuXbF582bevYCIfA5PLTCpffv26V2CJTFXOcxWRlhYGFasWMEhVgB7Vg6zlcFctXGQNZC6devqXYIlMVc5zFZGYWEhPv/8cxQWFupdiuWwZ+UwWxnMVRsHWQPh0RcZzFUOs5WRn5+PcePGIT8/X+9SLIc9K4fZymCu2jjIGsiuXbv0LsGSmKscZktmw56Vw2xlMFdtvNiLiMhguB8kIl/Gi71M6ujRo3qXYEnMVQ6zleHv749evXrB399f71Ishz0rh9nKYK7aOMgaCP/RksFc5TBbGaGhoXj//fcRGhqqdymWw56Vw2xlMFdtHGQNJDY2Vu8SLIm5ymG2MgoKCvDmm2+ioKBA71Ishz0rh9nKYK7aOMgayLZt2/QuwZKYqxxmK6OgoAAzZ87kICuAPSuH2cpgrtp4sZeBuN1u+PnxZ4uaxlzlMFsZvrwflMaelcNsZfhirrzYy6ROnz6tdwmWxFzlMFsyG/asHGYrg7lq4yBrINnZ2XqXYEnMVQ6zlWG32zF06FDY7Xa9S7Ec9qwcZiuDuWrjqQVEREREZBg8tcCk+OkdMpirHGYrIy8vD3/+85+Rl5endymWw56Vw2xlMFdtHGQNpHHjxnqXYEnMVQ6zlVFUVITk5GQUFRXpXYrlsGflMFsZzFUbB1kDMdhZHpbBXOUwWzIb9qwcZiuDuWrjIGsgmZmZepdgScxVDrMls2HPymG2MpirNl7sRURkMAUFBZg9ezYmT54Mh8OhdzlERJcVL/YyqQMHDuhdgiUxVznMVobD4cCIESM4xApgz8phtjKYqzYOsgZSu3ZtvUuwJOYqh9nKcLlcuO++++ByufQuxXLYs3KYrQzmqo2DrIGEh4frXYIlMVc5zFZGSUkJUlJSUFJSoncplsOelcNsZTBXbRxkDWTnzp16l2BJzFUOsyWzYc/KYbYymKs2XuxFRGQw3A8SkS/jxV4mlZWVpXcJlsRc5TBbGUFBQZgzZw6CgoL0LsVy2LNymK0M5qqNg6yBGOzguGUwVznMVkZgYCDuuusuBAYG6l2K5bBn5TBbGcxVG08tICIymNzcXHTt2hWbN29GWFiY3uUQEV1WPLXApNLT0/UuwZKYqxxmK8PtdmP37t1wu916l2I57Fk5zFYGc9XGI7IGUlRUBLvdrncZlsNc5TBbGb68H5TGnpXDbGX4Yq48ImtSOTk5epdgScxVDrMls2HPymG2MpirNg6yBnLmzBm9S7Ak5iqH2coICQnBwoULERISoncplsOelcNsZTBXbTy1gIiIiIgMg6cWmNRPP/2kdwmWxFzlMFsZ2dnZCAsLQ3Z2tt6lWA57Vg6zlcFctXGQNZAGDRroXYIlMVc5zFaOy+XSuwRLYs/KYbYymKs2DrIG4u/vr3cJlsRc5TBbMhv2rBxmK4O5auMgayCHDh3SuwRLYq5ymC2ZDXtWDrOVwVy18WIvIiKDKSkpQUZGBlq1asWjMUTkc3ixl5fyC4uROGsVEmetQn5hsW51lP7UZZR6rII/zcphtjL8/PxQUlICPz/uomsae1YOs5XBXLVxL2kg/Ex1GcxVDrOVkZOTg/bt2/NG6ALYs3KYrQzmqi2gJjbSp08fdOjQAS+//HJNbM60jp1yYfX2I/j1XB6iw4OR2CEecZGhVX5+ZGSkYHW+i7nKYbZkNuxZOcxWBnPVVuNHZJOTk5GYmIi6devCZrNh+/btNf0ShrR6+xHcO389lqUexIbdWViWehD3zl+PNTuOVHkb33//vWCFvou5ymG2ZDbsWTnMVgZz1VYjR2Qv5nK50KNHD9x+++247777anrz4qpzTmrWaRfmrtwJpQCFC9fOlf750mc70TymFmLrXPrIbJt2HZBfWMzzYmtYly5d9C7BspgtmQ17Vg6zlcFctXk9yLpcLjz00ENITk6G0+nEY489VubxESNGAAAOHz5cpe0VFBSgoKDA873en2Rzx9x1Nbo9pYAH3/pvjW6TvHP8+HHExsbqXYYlMVsZTqcTe/bsgdPp1LsUy2HPymG2MpirNq9PLZg4cSJSUlLw8ccfY82aNVi/fj22bdtW7QJmz56N8PBwz1d8fHy1t0VUkeJiHuGWwmxluN1uZGZmwu12612K5bBn5TBbGcxVm1dHZHNzc5GUlISlS5fihhtuAAAsWbLkD3182uTJkzFhwgTP99nZ2boOsx+M74ugQO8OVC/dsBcfbz4MdwW35PWz2XBL18YY2btFlbeXX1hc40eGfRl/OJLDbGW4XC7ccMMNvJ+2APasHGYrg7lq8+qI7IEDB1BYWIiEhATPsoiICLRs2bLaBTgcDtSqVavMl56CAgO8/hrQqZHnnNjfU1AY0LlRlbaz56ddnv+mmrNjxw69S7AsZktmw56Vw2xlMFdtXg2yBvsQMMOIiwzFhEHtYLNdOALr978/bTZgwqB2iIuo2i24WrduLVypb2KucpgtmQ17Vg6zlcFctXl16K9Zs2aw2+3YtGkTGjZsCAA4c+YM9u7di969e4sUaBb92sfjqvgIrE6/6D6yHeOrPMQCwPnz5xEYGChYpW9irnKYrRxe6CWDPSuH2cpgrtq8GmTDwsJw7733YuLEiYiMjER0dDSmTJlS5mMUT58+jczMTGRlZQEA9uzZAwCIiYlBTExMDZZuPHERoRjTt1W1n3/ixAnUrl275goiAMxVErOVUatWLWzbtk33U62siD0rh9nKYK7abMrL8wVyc3PL3H7r0UcfxapVqzyf7LV48WLcc8895Z43ffp0zJgx45Lbz87ORnh4OC9yICKfVVxcjHXr1qFv374ICOA580TkW7yZBb0eZKX58iC7Z8+eP3ThHFWMucphtjJ8eT8ojT0rh9nK8MVcvdkH1vhH1FL18YbHMpirHGZLZsOelcNsZTBXbRxkDYQnc8tgrnKYLZkNe1YOs5XBXLVxkDWQffv26V2CJTFXOcxWhp+fH5o2bVrmQlqqGexZOcxWBnPVxnNkiYiIiMgweI6sSf388896l2BJzFUOs5VRWFiI5557DoWFhXqXYjnsWTnMVgZz1cZB1kCCgoL0LsGSmKscZisjPz8fTzzxBPLz8/UuxXLYs3KYrQzmqo2DrIFER0frXYIlMVc5zJbMhj0rh9nKYK7aOMgaSFpamt4lWBJzlcNsyWzYs3KYrQzmqo0XexERGYzL5cKtt96K5ORkhIaG6l0OEdFlxYu9TOrXX3/VuwRLYq5ymK2M0NBQLF26lEOsAPasHGYrg7lq4yBrILywQwZzlcNsZRQUFGD27NkoKCjQuxTLYc/KYbYymKs2nlpARGQw3A8SkS/jqQUm9cMPP+hdgiUxVznMlsyGPSuH2cpgrto4yBpI8+bN9S7BkpirHGZLZsOelcNsZTBXbRxkDYSf4iODucphtjLsdjtGjBgBu92udymWw56Vw2xlMFdtHGQN5Pjx43qXYEnMVQ6zlREcHIwpU6YgODhY71Ishz0rh9nKYK7aeLEXEZHB5OXl4a9//SvmzZvHYZaIfA4v9jKpffv26V2CJTFXOcxWRlFREZKSklBUVKR3KZbDnpXDbGUwV20cZA0kKipK7xIsibnKYbZkNuxZOcxWBnPVxkHWQEJCQvQuwZKYqxxmS2bDnpXDbGUwV20cZA3kp59+0rsES2KucpitDIfDgQceeAAOh0PvUiyHPSuH2cpgrtp4sRcRERERGQYv9jKpI0eO6F2CJTFXOcxWhsvlQu/eveFyufQuxXLYs3KYrQzmqo2DrIEEBAToXYIlMVc5zFZGSUkJvvnmG5SUlOhdiuWwZ+UwWxnMVRsHWQOJjY3VuwRLYq5ymC2ZDXtWDrOVwVy1cZA1kK1bt+pdgiUxVznMlsyGPSuH2cpgrtp4sZeBuN1u+PnxZ4uaxlzlMFsZhYWFWLx4MUaPHo3AwEC9y7EU9qwcZivDF3PlxV4mderUKb1LsCTmKofZyggMDMQtt9zCIVYAe1YOs5XBXLVxkDWQ3NxcvUuwJOYqh9nKyM3NRY8ePZivAGYqh9nKYK7aeGoBEZHBcD9IRL6MpxaY1K5du/QuwZKYqxxmS2bDnpXDbGUwV20cZA2kSZMmepdgScxVDrMls2HPymG2MpirNg6yBsKbn8tgrnKYrYyQkBAkJycjJCRE71Ishz0rh9nKYK7aOMgayNGjR/UuwZKYqxxmKyMgIACtWrXiJ/oIYM/KYbYymKs2XuxFRGQw2dnZaNCgAY4ePcr9IBH5HF7sZVIHDhzQuwRLYq5ymK2cnJwcvUuwJPasHGYrg7lq4yBrIHXq1NG7BEtirnKYLZkNe1YOs5XBXLVxkDUQp9OpdwmWxFzlMFsyG/asHGYrg7lq4yBrID/++KPeJVgSc5XDbGWEhoZi2bJlCA0N1bsUy2HPymG2MpirNl7sRURkMEop5OTkwOl0wmaz6V0OEdFlxYu9TOrYsWN6l2BJzFUOs5WRk5OD8PBwXvAlgD0rh9nKYK7aOMgaCI+8yGCucpgtmQ17Vg6zlcFctXGQNZD69evrXYIlMVc5zJbMhj0rh9nKYK7aOMgayPfff693CZbEXOUwWzIb9qwcZiuDuWrjxV4GUlxczI+kFMBc5TBbGUopnDlzBnXq1OGvFWsYe1YOs5Xhi7nyYi+TOnfunN4lWBJzlcNsZbjdbvz0009wu916l2I57Fk5zFYGc9XGQdZAzp49q3cJlsRc5TBbGS6XC9deey1cLpfepVgOe1YOs61Z+YXFSJy1CsNe34T8wmJda0ictUq3Gi6lRgbZPn36YNy4cTWxKZ/WtGlTvUuwJOYqh9mS2bBn5TBb0kONHpEtKirC448/jrZt2yI0NBT169fHyJEjkZWVVZMvY1m7d+/WuwRLYq5ymC2ZDXtWDrM1lmOnXFi4LgOzk9OxcF0Gjp2y5m94avTs4fPnz+P777/H1KlT0b59e5w5cwbjxo3D4MGDsXXr1pp8KUtq2LCh3iVYEnOVw2zl8PPVZbBn5TBb41i9/QjmrtwJG2xQULDBhg9TD2DCoHbo1z5e7/JqlNeDrMvlwkMPPYTk5GQ4nU489thjnsfCw8Oxdu3aMuvPmzcP11xzDTIzM9nkl8Crk2UwVznMVkatWrVw/PhxhIaG6l2K5bBn5TBbOd6cn5p12oW5K3dCKUDhwo2pSv986bOdaB5TC7F1qrZvMep5sRfzepCdOHEiUlJS8PHHHyMmJgb/+Mc/sG3bNnTo0KHC9c+dOwebzYbatWtX+HhBQQEKCgo832dnZ3tbkmUcPnwYV111ld5lWA5zlcNsZRQXF+Pdd9/FmDFjfO62O9LYs3KYrZw75q6rke0oBTz41n9rZFtG4dU5srm5uUhKSsILL7yAG264AW3btsWSJUtQUlJS4fr5+fl44oknMGzYsErvAzZ79myEh4d7vuLjrXXI2xvcAchgrnKYrYzz58/jgQcewPnz5/UuxXLYs3KYLenBqx/1Dxw4gMLCQiQkJHiWRUREoGXLluXWLSoqwp133gm3243XX3+90m1OnjwZEyZM8HyfnZ3ts8PswYMHccUVV+hdhuUwVznMlsyGPSuH2cr5YHxfBAVWbWRbumEvPt58GO4KPu/Kz2bDLV0bY2TvFlXaVn5hcY0dDZbi1SBb1Q8BKyoqwtChQ3Ho0CF8/fXXmp/K4HA44HA4vCnDsnztk8wuF+Yqh9mS2bBn5TBbOUGBAVUeZAd0aoTkzYcqfExBYUDnRlXelhl4dWpBs2bNYLfbsWnTJs+yM2fOYO/evZ7vS4fYffv24auvvkJkZGTNVWtxERERepdgScxVDrOV4efnhyuvvBJ+fvzMmprGnpXDbI0hLjIUEwa1g8124Qis3//+tNmACYPaIS7CWheRejWSh4WF4d5778XEiRMRGRmJ6OhoTJkyxbOzLS4uxm233Ybvv/8eK1euRElJCX755RcAFxo8MDCw5t+BhaSnp6Nz5856l2E5zFUOs5URFhaGpUuXIiwsTO9SLIc9K4fZGke/9vG4Kj4Cq9OP4NdzeYgOD0Zix3jLDbFANe5aMGfOHOTm5mLw4MFwOp149NFHPZ8DfPToUXz66acAUO4uBikpKejTp88fLtjKuAOQwVzlMFsZhYWFSE9PR9u2bXkAoIaxZ+UwW2OJiwjFmL6t9C5DnE1V9cTXyyQ7Oxvh4eE4d+6cz51vc/z4ccTGxupdhuUwVznMVoYv7welsWflMFsZvpirN/tAnoBlIJXdxoz+GOYqh9mS2bBn5TBbGcxVGwdZA2nQoIHeJVgSc5XDbMls2LNymK0M5qqNg6yBbN++Xe8SLIm5ymG2Mvz9/ZGQkAB/f3+9S7Ec9qwcZiuDuWrjObIGUlRUBLvdrncZlsNc5TBbOcxWBnOVw2xl+GKuPEfWpHJzc/UuwZKYqxxmK6OgoABPPvkkCgoK9C7FctizcpitDOaqjYOsgZw8eVLvEiyJucphtjIKCgrw/PPPc5AVwJ6Vw2xlMFdtPLWAiMhguB8kIl/GUwtMKiMjQ+8SLIm5ymG2ZDbsWTnMVgZz1cZB1kDq16+vdwmWxFzlMFsZdrsdI0aM8LkLPC4H9qwcZiuDuWrjIGsg/EdLBnOVw2xlBAcH480330RwcLDepVgOe1YOs5XBXLVxkDWQ/fv3612CJTFXOcxWRl5eHoYPH468vDy9S7Ec9qwcZiuDuWrjxV5ERAbD/SAR+TJe7GVShw8f1rsES2KucpgtmQ17Vg6zlcFctXGQNZCQkBC9S7Ak5iqH2ZLZsGflMFsZzFUbB1kDqVevnt4lWBJzlcNsZTgcDkyfPh0Oh0PvUiyHPSuH2cpgrto4yBpIWlqa3iVYEnOVw2xlOBwODBgwgIOsAPasHGYrg7lq48VeREQG43K5cOuttyI5ORmhoaF6l0NEdFnxYi+T+vXXX/UuwZKYqxxmK6OkpARr1qxBSUmJ3qVYDntWDrOVwVy1cZA1kIKCAr1LsCTmKofZktmwZ+UwWxnMVRtPLSAiMhjuB4nIl/HUApPauXOn3iVYEnOVw2xlBAUFYfr06QgKCtK7FMthz8phtjKYqzYekTWQgoICXqUsgLnKYbZymK0M5iqH2crwxVx5RNak8vPz9S7BkpirHGYrIzc3Fx06dEBubq7epVgOe1YOs5XBXLVxkDWQX375Re8SLIm5ymG2MtxuNzIyMuB2u/UuxXLYs3KYrQzmqo2nFhARGQz3g0Tky3hqgUnt3btX7xIsibnKYbZkNuxZOcxWBnPVxkHWQKKjo/UuwZKYqxxmKyMkJATLly9HSEiI3qVYDntWDrOVwVy1cZA1EN5qRwZzlcNsZQQEBGDAgAEICAjQuxTLYc/KYbYymKs2DrIGkpGRoXcJlsRc5TBbGdnZ2YiMjER2drbepVgOe1YOs5XBXLXxYi8iIoPhfpCIfBkv9jKpzMxMvUuwJOYqh9mS2bBn5TBbGcxVGwdZAwkMDNS7BEtirnKYLZkNe1YOs5XBXLXx1AIiIoMpKSlBRkYGWrVqBX9/f73LISK6rHhqgUlt3bpV7xIsibnKYbYy/Pz8cOLECfj5cRdd09izcpitDOaqjUdkDUQpBZvNpncZlsNc5TBbGb68H5TGnpXDbGX4Yq48ImtSJ06c0LsES2KucpgtmQ17Vg6zlcFctXGQNZDz58/rXYIlMVc5zJbMhj0rh9nKYK7aeGoBEZHBcD9IRL6MpxaY1I8//qh3CZbEXOUwWxlOpxOpqalwOp16l2I57Fk5zFYGc9XGQdZAmjZtqncJlsRc5TBbGW63G3a7HW63W+9SLIc9K4fZymCu2jjIGkhxcbHeJVgSc5XDbGW4XC506dIFLpdL71Ishz0rh9nKYK7aOMgayLFjx/QuwZKYqxxmS2bDnpXDbGUwV2282IuIyGC4HyQiX8aLvUxq//79epdgScxVDrOVExoaqncJlsSelcNsZTBXbRxkDSQiIkLvEiyJucphtjJq1aqFzMxMHo0VwJ6Vw2xlMFdtHGQNhLfakcFc5TBbGcXFxUhNTeVFHgLYs3KYrQzmqo2DrIHs2rVL7xIs6Y/kml9YjMRZq5A4axXyC/UdKoxUSyn2rIzz589j4MCB/EQfAexZOcxWBnPVViODbJ8+fTBu3Lia2JRP69Chg94lWBJzlcNsyWzYs3KYrQzmqq3Gj8jOmDEDrVq1QmhoKOrUqYM//elP2Lx5c02/jCUdPXpU7xIsyQi5HjvlwsJ1GZidnI6F6zJw7JQ17g9qhGyJvMGelcNsZTBXbQE1vcEWLVrgtddewxVXXIG8vDzMnTsX/fr1w/79+xEVFVXTL2cpfn4800OC3rmu3n4Ec1fuhA02KCjYYMOHqQcwYVA79Gsfr2ttf5Te2VqVn58fWrRowXwFMFM5zFYGc9Xm9SDrcrnw0EMPITk5GU6nE4899liZx4cNG1bm+5deeglJSUnYuXMn+vbt+8eqtbj69evrXYIl1VSu1TkvNeu0C3NX7oRSgMKFWzaX/vnSZzvRPKYWYutU7TZLRjkv9mLsWRlhYWHYs2eP3mVYEntWDrOVwVy1eT3ITpw4ESkpKfj4448RExODf/zjH9i2bVuF53AUFhbirbfeQnh4ONq3b1/h9goKClBQUOD5Pjs729uSLGPbtm3o3Lmz3mVYTk3lesfcdTVQzf9TCnjwrf/W6DYvN/asjMLCQsyaNQtTp05FYGCg3uVYCntWDrOVwVy1eXW8Ojc3F0lJSXjhhRdwww03oG3btliyZAlKSkrKrLdy5UqEhYUhKCgIc+fOxdq1a1G3bt0Ktzl79myEh4d7vuLjzf2r1j+CJ3TLYK5ymK2M/Px8PP3008jPz9e7FMthz8phtjKYqzavjsgeOHAAhYWFSEhI8CyLiIhAy5Yty6x33XXXYfv27Th58iQWLFiAoUOHYvPmzahXr165bU6ePBkTJkzwfJ+dne2zw+yZM2cqHfip+moq1w/G90VQoHe/xFi6YS8+3nwY7go+CdrPZsMtXRtjZO8WVdpWfmFxjR8V/qPYs2Q27Fk5zFYGc9Xm1RFZVcE/xhUJDQ1Fs2bN0K1bNyQlJSEgIABJSUkVrutwOFCrVq0yX77Kl0+rkFRTuQYFBnj9NaBTI885sb+noDCgcyOvtmc07FkyG/asHGYrg7lq82qQbdasGex2OzZt2uRZdubMGezdu1fzeUqpMufBUsWuuOIKvUuwJD1zjYsMxYRB7WCzXTgC6/e/P202YMKgdoiLqNqFXkbFnpXh7++Pfv36wd/fX+9SLIc9K4fZymCu2rw6xBMWFoZ7770XEydORGRkJKKjozFlyhTPrSFcLheeeeYZDB48GLGxsTh16hRef/11HD16FLfffrvIG7CS3bt348orr9S7DMvRO9d+7eNxVXwEVqcfwa/n8hAdHozEjvGmH2IB/bO1qtDQUMydOxehoebvEaNhz8phtjKYqzavf1c5Z84c5ObmYvDgwXA6nXj00Udx7tw5ABeOImRkZGDJkiU4efIkIiMjcfXVV2Pjxo246qqrarx4q2nUqJHeJViSEXKNiwjFmL6t9C6jxhkhWysqKCjAO++8g+nTp8PhcOhdjqWwZ+UwWxnMVZtNVfXE18skOzsb4eHhOHfunM+dL5ubm4uwsDC9y7Ac5iqH2crw5f2gNPasHGYrwxdz9WYfyI+LMJDMzEy9S7Ak5iqH2ZLZsGflMFsZzFUbj8gSERkM94NE5Mt4RNakDh48qHcJlsRc5TBbGXa7HUOHDoXdbte7FMthz8phtjKYqzYOsgYSHh6udwmWxFzlMFsZwcHBeP311xEcHKx3KZbDnpXDbGUwV20cZA2kdu3aepdgScxVDrOVkZeXh0mTJiEvL0/vUiyHPSuH2cpgrto4yBrIjh079C7BkpirHGYro6ioCAsXLkRRUZHepVgOe1YOs5XBXLXxYi8iIoPhfpCIfJk3+0DDfXh76Vzti58tfPz4ccTGxupdhuUwVznMVkbp/s8X94PS2LNymK0MX8y1dN9XlWOthhtkc3JyAADx8fE6V0JEpC/uB4nIl+Xk5FzyYjfDnVrgdruRlZUFp9MJm82mdzmXTXZ2NuLj43HkyBH+KrEGMVc5zFYOs5XBXOUwWxm+mqtSCjk5Oahfvz78/LQv5zLcEVk/Pz80aNBA7zJ0U6tWLZ9q1suFucphtnKYrQzmKofZyvDFXKt62zHetYCIiIiITImDLBERERGZEgdZg3A4HJg+fTocDofepVgKc5XDbOUwWxnMVQ6zlcFcL81wF3sREREREVUFj8gSERERkSlxkCUiIiIiU+IgS0RERESmxEGWiIiIiEyJg6yOnnnmGXTv3h0hISGoXbt2lZ4zevRo2Gy2Ml/dunWTLdRkqpOrUgozZsxA/fr1ERwcjD59+mDXrl2yhZrQmTNnMGLECISHhyM8PBwjRozA2bNnNZ/Dni3v9ddfR5MmTRAUFITOnTtj48aNmutv2LABnTt3RlBQEK644gq88cYbl6lS8/Em2/Xr15frTZvNhoyMjMtYsfF98803GDRoEOrXrw+bzYYVK1Zc8jns2arxNlv2bHkcZHVUWFiI22+/HQ899JBXz+vfvz+OHz/u+fr888+FKjSn6uT6/PPP46WXXsJrr72GtLQ0xMTE4IYbbkBOTo5gpeYzbNgwbN++HV9++SW+/PJLbN++HSNGjLjk89iz/++DDz7AuHHjMGXKFKSnp6Nnz5648cYbkZmZWeH6hw4dwk033YSePXsiPT0d//jHP/C3v/0Ny5cvv8yVG5+32Zbas2dPmf5s3rz5ZarYHFwuF9q3b4/XXnutSuuzZ6vO22xLsWcvokh3ixYtUuHh4VVad9SoUWrIkCGi9VhFVXN1u90qJiZGPfvss55l+fn5Kjw8XL3xxhuCFZrL7t27FQC1adMmz7LU1FQFQGVkZFT6PPZsWddcc4168MEHyyxr1aqVeuKJJypcf9KkSapVq1Zllj3wwAOqW7duYjWalbfZpqSkKADqzJkzl6E6awCgPv74Y8112LPVU5Vs2bPl8YisCa1fvx716tVDixYtcN999+G3337TuyRTO3ToEH755Rf069fPs8zhcKB379747rvvdKzMWFJTUxEeHo6uXbt6lnXr1g3h4eGXzIk9e0FhYSG2bdtWptcAoF+/fpVmmJqaWm79xMREbN26FUVFRWK1mk11si3VsWNHxMbGom/fvkhJSZEs0yewZ+WxZ/8fB1mTufHGG/Huu+/i66+/xosvvoi0tDRcf/31KCgo0Ls00/rll18AANHR0WWWR0dHex6jCznVq1ev3PJ69epp5sSe/X8nT55ESUmJV732yy+/VLh+cXExTp48KVar2VQn29jYWLz11ltYvnw5kpOT0bJlS/Tt2xfffPPN5SjZstizctiz5QXoXYDVzJgxAzNnztRcJy0tDV26dKnW9u+44w7Pf7dp0wZdunRBo0aNsGrVKtx6663V2qYZSOcKADabrcz3Sqlyy6yoqtkC5TMCLp2Tr/asFm97raL1K1pO3mXbsmVLtGzZ0vN9QkICjhw5ghdeeAG9evUSrdPq2LMy2LPlcZCtYY888gjuvPNOzXUaN25cY68XGxuLRo0aYd++fTW2TSOSzDUmJgbAhaMIsbGxnuW//fZbuaMKVlTVbHfu3Ilff/213GMnTpzwKidf6dmK1K1bF/7+/uWOEGr1WkxMTIXrBwQEIDIyUqxWs6lOthXp1q0b3nnnnZouz6ewZy8vX+9ZDrI1rG7duqhbt+5le71Tp07hyJEjZQYwK5LMtUmTJoiJicHatWvRsWNHABfOt9uwYQOee+45kdc0kqpmm5CQgHPnzmHLli245pprAACbN2/GuXPn0L179yq/nq/0bEUCAwPRuXNnrF27Frfccotn+dq1azFkyJAKn5OQkIDPPvuszLI1a9agS5cusNvtovWaSXWyrUh6erpP9mZNYs9eXj7fs3peaebrfv75Z5Wenq5mzpypwsLCVHp6ukpPT1c5OTmedVq2bKmSk5OVUkrl5OSoRx99VH333Xfq0KFDKiUlRSUkJKi4uDiVnZ2t19swHG9zVUqpZ599VoWHh6vk5GT1ww8/qLvuukvFxsYy19/p37+/ateunUpNTVWpqamqbdu2auDAgWXWYc9qe//995XdbldJSUlq9+7daty4cSo0NFQdPnxYKaXUE088oUaMGOFZ/+DBgyokJESNHz9e7d69WyUlJSm73a4++ugjvd6CYXmb7dy5c9XHH3+s9u7dq3788Uf1xBNPKABq+fLler0FQ8rJyfHsRwGol156SaWnp6uff/5ZKcWe/SO8zZY9Wx4HWR2NGjVKASj3lZKS4lkHgFq0aJFSSqnz58+rfv36qaioKGW321XDhg3VqFGjVGZmpj5vwKC8zVWpC7fgmj59uoqJiVEOh0P16tVL/fDDD5e/eIM7deqUGj58uHI6ncrpdKrhw4eXuw0Me/bS/vWvf6lGjRqpwMBA1alTJ7VhwwbPY6NGjVK9e/cus/769etVx44dVWBgoGrcuLGaP3/+Za7YPLzJ9rnnnlNNmzZVQUFBqk6dOuraa69Vq1at0qFqYyu95dPvv0aNGqWUYs/+Ed5my54tz6bU/87AJiIiIiIyEd5+i4iIiIhMiYMsEREREZkSB1kiIiIiMiUOskRERERkShxkiYiIiMiUOMgSERERkSlxkCUiIiIiU+IgS0RERESmxEGWiIiqpHHjxnj55Zf1LoOIyIODLBGZzujRo2Gz2WCz2WC323HFFVfgscceg8vl0ru0auOQSETkvQC9CyAiqo7+/ftj0aJFKCoqwsaNGzF27Fi4XC7Mnz/f620ppVBSUoKAAPPvEgsLCxEYGKh3GURElwWPyBKRKTkcDsTExCA+Ph7Dhg3D8OHDsWLFCgDAO++8gy5dusDpdCImJgbDhg3Db7/95nnu+vXrYbPZsHr1anTp0gUOhwMbN27EgQMHMGTIEERHRyMsLAxXX301vvrqqzKv27hxYzz99NMYOXIkwsLC0KhRI3zyySc4ceIEhgwZgrCwMLRt2xZbt24t87zvvvsOvXr1QnBwMOLj4/G3v/3NcwS5T58++PnnnzF+/HjPkeaqPO/iekaPHo3w8HDcd9995bJ68803ERcXB7fbXWb54MGDMWrUKACo0nu/2OHDh2Gz2bB9+3bPsrNnz8Jms2H9+vWeZbt378ZNN92EsLAwREdHY8SIETh58mSl2yUi8gYHWSKyhODgYBQVFQG4cFRy1qxZ2LFjB1asWIFDhw5h9OjR5Z4zadIkzJ49Gz/99BPatWuH3Nxc3HTTTfjqq6+Qnp6OxMREDBo0CJmZmWWeN3fuXPTo0QPp6ekYMGAARowYgZEjR+Luu+/G999/j2bNmmHkyJFQSgEAfvjhByQmJuLWW2/Fzp078cEHH+C///0vHnnkEQBAcnIyGjRogKeeegrHjx/H8ePHq/S8UnPmzEGbNm2wbds2TJ06tdz7vP3223Hy5EmkpKR4lp05cwarV6/G8OHDAaDK790bx48fR+/evdGhQwds3boVX375JX799VcMHTq02tskIipDERGZzKhRo9SQIUM832/evFlFRkaqoUOHVrj+li1bFACVk5OjlFIqJSVFAVArVqy45GtdeeWVat68eZ7vGzVqpO6++27P98ePH1cA1NSpUz3LUlNTFQB1/PhxpZRSI0aMUPfff3+Z7W7cuFH5+fmpvLw8z3bnzp1bZp2qPu/mm2++5PsYPHiwGjNmjOf7N998U8XExKji4mKv3ntpjYcOHVIAVHp6uufxM2fOKAAqJSVFKaXU1KlTVb9+/cps88iRIwqA2rNnzyVrJiK6FB6RJSJTWrlyJcLCwhAUFISEhAT06tUL8+bNAwCkp6djyJAhaNSoEZxOJ/r06QMA5Y4udunSpcz3LpcLkyZNwpVXXonatWsjLCwMGRkZ5Z7Xrl07z39HR0cDANq2bVtuWenpDNu2bcPixYsRFhbm+UpMTITb7cahQ4cqfY9Vfd7v30dFhg8fjuXLl6OgoAAA8O677+LOO++Ev7+/V+/dG9u2bUNKSkqZ+lu1agXgwqkMRER/lPmvbCAin3Tddddh/vz5sNvtqF+/Pux2O4ALA1m/fv3Qr18/vPPOO4iKikJmZiYSExNRWFhYZhuhoaFlvp84cSJWr16NF154Ac2aNUNwcDBuu+22cs8rfS0AnvNZK1pWek6q2+3GAw88gL/97W/l3kfDhg0rfY9Vfd7v30dFBg0aBLfbjVWrVuHqq6/Gxo0b8dJLL3ker+p7L+Xnd+E4iPrf6RMAPKd2XFz/oEGD8Nxzz5V7fmxs7CVrJiK6FA6yRGRKoaGhaNasWbnlGRkZOHnyJJ599lnEx8cDQLkLryqzceNGjB49GrfccguAC+eNHj58+A/X2qlTJ+zatavCeksFBgaipKTE6+dVVXBwMG699Va8++672L9/P1q0aIHOnTt7Hvf2vUdFRQG4cB5sx44dAaDMhV+l9S9fvhyNGze2xB0hiMh4eGoBEVlKw4YNERgYiHnz5uHgwYP49NNPMWvWrCo9t1mzZkhOTsb27duxY8cODBs2rNyV/tXx+OOPIzU1FQ8//DC2b9+Offv24dNPP8Vf//pXzzqNGzfGN998g2PHjnmu6q/K87wxfPhwrFq1CgsXLsTdd99d5jFv33twcDC6deuGZ599Frt378Y333yDJ598ssw6Dz/8ME6fPo277roLW7ZswcGDB7FmzRqMGTOm3NBORFQdHGSJyFKioqKwePFiLFu2DFdeeSWeffZZvPDCC1V67ty5c1GnTh10794dgwYNQmJiIjp16vSHa2rXrh02bNiAffv2oWfPnujYsSOmTp1a5tfrTz31FA4fPoymTZt6jnZW5XneuP766xEREYE9e/Zg2LBhZR6rzntfuHAhioqK0KVLF/z973/H008/Xebx+vXr49tvv0VJSQkSExPRpk0b/P3vf0d4eLjn1AQioj/Cpi4+wYmIiIiIyCT4IzERERERmRIHWSIiIiIyJQ6yRERERGRKHGSJiIiIyJQ4yBIRERGRKXGQJSIiIiJT4iBLRERERKbEQZaIiIiITImDLBERERGZEgdZIiIiIjIlDrJEREREZEr/B85H8F5uFoXrAAAAAElFTkSuQmCC" 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2bWMPPfQQc3d3Z15eXmzgwIHs6NGjdcbK5XkNzI3GPHbsGOvRowfz9PRkQUFB7Nlnn2V//vlnjfeXlJTEvLy82JkzZ1i/fv2Yh4cH8/f3Z88//7zx/QnVRx99xACwbdu21brMihUrTEZQ13bqCGOM7dq1iwFgixYtYoxZl//c3Fzm6urKHnvssVqXLywsZB4eHjVGulZnGA37448/mtxe2zpmqO3c3FzjbVzXM7VazV566SUWHBzM3N3dWffu3dnx48dZVFSUyWhYw/uztD4wRqNhhUbGGGMO7M2ESM7kyZPx008/1TihnRAiHXTqCCGEEGIBNUtCCCHEAtoNSwghhFhAW5aEEEKIBdQsCSGEEAuoWRJCCCEWULMkhBBCLKBmSQghhFhAzZIQQgixgJolIYQQYgE1S0IIIcQCapaEEEKIBdQsCSGEEAuoWRJCCCEWULMkhBBCLKBmSQghhFhAzZIQQgixgJolIYQQYgE1S0IIIcQCapaEEEKIBdQsCSGEEAuoWRJCCCEWULMkdrdmzRrIZDKcPHnS7P0JCQmIjo52bFACYchNZmYm36Fg8uTJkMlkxh8vLy9ER0fjkUcewerVq6FWq+v9nPPmzYNMJkNCQoIdIm4c9Ho91q9fj0GDBiEwMBAuLi4IDg5GQkICduzYAb1ez3eIjQI1S0KIkYeHB44fP47jx49j586dePvtt+Hl5YVp06YhPj4et27d4vxcWq0W3377LQBgz549uH37tr3ClqyKigqMGDECSUlJCA4Oxpdffon9+/djxYoVCA8Px7hx47Bjxw6+w2wUnPkOgBAiHE5OTujevbvJbZMmTcIzzzyDhIQEjB07FidOnOD0XP/3f/+H3NxcjBw5Ert27cLatWvx+uuv2yNsu9FqtZDJZHB25uejct68efjll1+wdu1aTJo0yeS+MWPG4JVXXkF5eTkvsTU2tGVJCEcHDx6ETCbDt99+i3nz5iE0NBQeHh7o27cv0tPTayy/fft29OjRA56envDx8cHgwYNx/PhxTq/166+/YuDAgfD19YWnpyd69eqFffv2mSyTm5uL5557DpGRkXBzc0NQUBB69eqFX3/91Sbvt7ohQ4Zg2rRp+P3333H48GFOj0lJSYGrqytWr16NyMhIrF69Gowxm8YVHR1tsuu4+s/BgweNy129ehUTJkxAcHAw3Nzc0KpVK3z++ecmz2X4+65fvx4vvfQSIiIi4ObmhmvXrgEAVq1ahQ4dOsDd3R3+/v4YPXo0Ll68aPIc169fx5NPPonw8HC4ubkhJCQEAwcOxOnTp+v93nJycrBy5UoMHTq0RqM0ePDBB9G+fft6PzepP2qWxGEqKyuh0+lq/Nj6A9TeXn/9dVy/fh0rV67EypUrcefOHfTr1w/Xr183LvPdd9/h0Ucfha+vL77//nukpKSgsLAQ/fr1w5EjR+p8/m+//RZDhgyBr68v1q5di02bNsHf3x9Dhw41aZiJiYnYtm0b3nrrLezduxcrV67EoEGDkJ+fb1zG0AAWLlzY4Pf9yCOPAACnZnnr1i3s3bsXjz76KIKCgpCUlIRr165xbrRcbd261bjb+Pjx4zh69CjatWsHLy8vNGvWDABw4cIFdO3aFefOncOHH36InTt3YuTIkZg9ezYWLVpU4zlfe+01ZGVlYcWKFdixYweCg4Px3nvvYerUqWjTpg22bNmCjz/+GGfOnEGPHj1w9epV42NHjBiBU6dOYenSpUhNTcWXX36JTp06oaioyLiM4Tj1mjVr6nxvBw4cgFarxWOPPWaLVJGGYoTY2erVqxmAOn+ioqL4DtOiAwcOMACsc+fOTK/XG2/PzMxkLi4u7Nlnn2WMMVZZWcnCw8NZu3btWGVlpXE5lUrFgoODWc+ePY23GXKTkZHBGGOstLSU+fv7s1GjRpm8dmVlJevQoQPr1q2b8TZvb282Z86cOmM+ePAgk8vlbNGiRRbfX1JSEvPy8qr1/osXLzIA7Pnnnzd5TPX4Dd5++20GgO3Zs4cxxtj169eZTCZjiYmJFuNoiFmzZjFnZ2e2e/du421Dhw5lTZs2ZUqlssay7u7urKCggDH2z9/34YcfNlmusLCQeXh4sBEjRpjcnpWVxdzc3NiECRMYY4zl5eUxAOyjjz6qM8a1a9cyuVzO1q5dW+dyixcvNskh4RdtWRKHWbduHdLS0mr89O7d2+rnNLelyuWnsrLS6tecMGECZDKZ8feoqCj07NkTBw4cAABcvnwZd+7cQWJiIpyc/lnFvL298fjjj+PEiRMoKysz+9zHjh1DQUEBkpKSTOLV6/UYNmwY0tLSUFpaCgDo1q0b1qxZg3feeQcnTpyAVqut8Xx9+/aFTqfDW2+9ZfX7NWAc9wAwxoy7XgcPHgwAiImJQb9+/bB582YUFxc3OBZzFi9ejM8++wwrVqzA8OHDAVQNkNm3bx9Gjx4NT09Pk5yOGDECFRUVNY7BPv744ya/Hz9+HOXl5Zg8ebLJ7ZGRkRgwYIBxa9/f3x/NmzfH+++/j2XLliE9Pd3sSNVJkyZBp9PVumuVCBM1S+IwrVq1QpcuXWr8KBQKq54vMzMTLi4uVv00b97c6vcRGhpq9jbD7k/Dv2FhYTWWCw8Ph16vR2Fhodnnvnv3LgBg7NixNWJesmQJGGMoKCgAAGzcuBFJSUlYuXIlevToAX9/f0yaNAk5OTlWv7e63Lhxw/geDNasWQPGmMmpP/v370dGRgbGjRuH4uJiFBUVoaioCE888QTKysrw/fff2zy2b7/9Fq+//jreeustTJ061Xh7fn4+dDodPv300xr5HDFiBAAgLy/P5Lnu/7tZ+nsa7pfJZNi3bx+GDh2KpUuXonPnzggKCsLs2bOhUqnq/Z4Mu5EzMjLq/VhiezQalohWeHg40tLSrHqsm5ub1a9rrhnl5OQgICAAAIz/Zmdn11juzp07cHJyQpMmTcw+d2BgIADg008/rTEq1SAkJMS47EcffYSPPvoIWVlZ2L59OxYsWIB79+5hz5499X9jFmzfvh0A0K9fvzqXS0lJAQAsW7YMy5YtM3v/9OnTbRZXamoqpkyZgsmTJ9c4BtmkSRPI5XIkJiZi5syZZh8fExNj8nv1vQaA5b+n4W8GVO1lMLz/K1euYNOmTVi4cCE0Gg1WrFhRr/fVv39/uLi4YNu2bZgxY0a9HkvsgN+9wKQxMByXS0tLM3v/yJEjRXXMMj4+3uwxy6lTpzLGqo4vRkREsI4dO5osV1JSwoKDg1mvXr2Mt91/zFKlUjE/Pz+T44L18dhjj7GgoCCrHlvXMcu9e/cyFxcXk+Ot5hQUFDB3d3fWq1cvduDAgRo/EydOZADY2bNnrYrxfunp6czHx4cNHTqUabVas8sMGjSIdejQganV6jqfy/D3/fHHH01uNxyzfOSRR0xuv3nzJnNzc2MTJ06s83k7duzIunbtyuHd1PT8888zALUe37x27Rr766+/rHpuUj+0ZUlIPd27dw+jR4/GtGnToFQqkZycDHd3d7z22msAqs5VXLp0KSZOnIiEhARMnz4darUa77//PoqKirB48eJan9vb2xuffvopkpKSUFBQgLFjxyI4OBi5ubn466+/kJubiy+//BJKpRL9+/fHhAkT0LJlS/j4+CAtLQ179uzBmDFjjM936NAhDBw4EG+99Ran45Z6vd54DE+tViMrKws///wzNm3ahFatWmHTpk11Pn7Dhg2oqKjA7NmzzW6BBgQEYMOGDUhJScHy5csBVG2pHjp0qN6joouLizFixAh4eHjg5ZdfrjFDVOvWreHr64uPP/4YvXv3Rp8+ffD8888jOjoaKpUK165dw44dO7B///46X8fPzw9vvvkmXn/9dUyaNAlPPfUU8vPzsWjRIri7uyM5ORkAcObMGcyaNQvjxo3Dgw8+CFdXV+zfvx9nzpzBggULjM+3bt06TJkyBatWrbJ43HLZsmW4fv06Jk+ejF9++QWjR49GSEgI8vLykJqaitWrV+OHH36g00ccge9uTaRPaluW69evZ7Nnz2ZBQUHMzc2N9enTh508ebLG8tu2bWMPPfQQc3d3Z15eXmzgwIHs6NGjJsvcv2VpcOjQITZy5Ejm7+/PXFxcWEREBBs5cqRxq6eiooLNmDGDtW/fnvn6+jIPDw8WFxfHkpOTWWlpaY2Yk5OTLb4/w8hWw4+Hhwdr1qwZGzVqFFu1apXFLTPGqraigoOD61y2e/fuLDAw0LhMfHw8Cw0Ntfjc98vIyKhzhPWBAwdMlp0yZQqLiIhgLi4uLCgoiPXs2ZO98847xmVq27I0WLlyJWvfvj1zdXVlCoWCPfroo+z8+fPG++/evcsmT57MWrZsyby8vJi3tzdr3749W758OdPpdMblDH/z1atXc3qfOp2OrV27lg0YMID5+/szZ2dnFhQUxIYPH86+++47kxHXxH5kjInsJDdCeHLw4EH0798fP/74I8aOHct3OJKgUqng7++Pjz76qNZjioQIAY2GJYTw5vDhw4iIiMC0adP4DoWQOlGzJITwZuTIkcjMzISrqyvfoRBSJ9oNSwghhFhAW5aEEEKIBdQsCSGEEAuoWRJCCCEW0KQEFuj1ety5cwc+Pj41psEihBAiXowxqFQqhIeHm1z0wBxqlhbcuXMHkZGRfIdBCCHETm7evImmTZvWuQw1Swt8fHwAVCXT19eX52hqKigogL+/P99hiALlipt58+aZnQCd1EQ1xY1Q81RcXIzIyEjj53xdqFlaYNj16uvrK8hm6eXlBblczncYokC54sbb21uQtS5EVFPcCD1PXA6x0QAfkavtuoikJsoVN2q1mu8QRINqihsp5ImapchVv5YeqRvlihsPDw++QxANqilupJAn2g0rcnl5eZIoREegXHFTXl7OdwiiIcSaYoxBp9OhsrKS71CMCgsLa73guaO4uLg0aFcwNUuR47sAxYRyxY2bmxvfIYiG0GpKo9EgOzsbZWVldS536pQH4uO5fymq7/L3Y4yhqKjI6sfbgkwmQ9OmTeHt7W3V46lZilxxcbHgVliholxxo9Fo+A5BNIRUU3q9HhkZGZDL5QgPD4erq6vZgSvvvOOMd991xn/+o8XLL1ve+vzgAznefNMFb7yhw7//rbMqNp1OB2dn/toNYwy5ubm4desWHnzwQau2MKlZihwdX+KOcsUNnx9qYiOkmtJoNNDr9YiMjISnp6fZZY4cAd59t+r/b77pAhcXF8yfX/tzLlkCvPlm1f/ffdcZw4Y5o3fv+sem1+stnvRvb0FBQcjMzIRWq7WqWdIAH5HTarV8hyAalCtu9Ho93yGIhhBrqq6m1Ls3sHjxP78vWFDVEM1ZsqTqfoPFi2FVowSqtuz41tAZ2KhZihxNwccd5YrYmhhrav58yw3TXKOsawu0LtHR0WjTpg06duyI1q1b4/PPP7e4/Llz56x7MTui/S0iJ+QTfYWGcsUN37vLxESsNWVofIaGaPh3/nzbNkqDTZs2oX379rh58ybatWuHPn36oH379g17UgejtULk6ARy7ihX3AjplAOhE3NNmdvCDAiwfaME/tm1HxkZidjYWFy8eBGjR49Gu3bt0LZtW3z99ddmH5eTk4MnnngC3bp1Q/v27fHWW28Zn2/WrFlo2bIlOnTogPj4eFRUVDQ80DrQlqXIWTsMujGiXHHj4uLCdwiiIfaaun8Ls6Dgn/ts1SiBf7bAz549i0uXLmHTpk1o2bIltm7dinv37iE+Ph4dO3ZEt27dTB6XlJSEN954Aw8//DB0Oh0SEhKwdetWREdHY9++fbhw4QKcnJygVCrh6upqm2BrQc1S5IqKigR3UrRQUa64EfPWkqNJoabmzweWLjVtlP7+tmuUADB27Fh4eHjA09MTq1atwvTp0/Hxxx8DAIKDgzFmzBjs27fPpFmWlpZi//79uHv3rvG2kpISXLp0CQMGDIBWq8WUKVPQv39/jBw50u6HD6hZipzYV1RHolxxI6TTIYROCjW1ZIlpowSqfl+yxHYNc/PmzWjbtq3x9+nTp9cYHHX/73q9HjKZDGlpaWb3dpw/fx6HDh3CgQMH8Nprr+Hw4cNo0aKFbQI2g45ZilxeXh7fIYgG5Yobmu6OO7HX1P2DeapfRauu00rq6/5TbAYNGmQ8Tpmbm4utW7diwIABJsv4+PigT58+WFztwOqdO3dw69Yt5ObmorS0FEOGDMF///tfREdH48KFC7YJthbULEVOiNeIEyrKFTfu7u58hyAaYq4pc6Ne8/O5n4dZH/dPdPHJJ5/gzJkzaN++Pfr374833nijxvFKANiwYQMuXryIdu3aoV27dnj88ceRn5+PmzdvYvDgwWjfvr1xkNDw4cMbHmhd78Guz07srqioSNQrrCNRrrihY5bcibWm6jo9pK7TSqyRmZkJnc50mryQkBBs3bq11uUNQkND8d1335ld7tSpU9YFZCXashQ5sY/GcyTKFTc0GpY7MdYUl/MouUxcUB9SOHdX/O+gkbP3uUVSQrnihs6z5E5sNXXkCPfzKM01zCNHrHtdIUx311DULEVOrDOI8IFyxY0Yp3Dji9hqqndvIDm56v9czqOs3jCTk62fG1YK6JilyNEHG3eUK2JrYqyphQuBQYO4N77584FevRp3owSoWYqeEK96IFSUK27oqiPcibWmajS+zEzg4EFAqQQUCqBfPyA6uvbl60kKu2GpWYpcbdetIzVRrrihAT7cib6m0tKARYuA3buB6g1NJgNGjKja99q1a4Nfhgb4EN4plUq+QxANyhU3dOoId6KuqS1bqjYZd+0ybZRA1e+7dlXdv2VLg19KCoPGaMtS5AICAvgOQTQoV9zQpATcibam0tKAp54CNJqq3yMjgSlTgNhY4MoVICUFuHWr6v6nnqoaBmvlFub27duNVwsxyM3NRX5+vqhGE1OzFLn8/HxJzE/pCJQrbsT0AcY30dbUokX/NMpJk4BvvgGqX7Xj9deBZ58F1q+vWu7tt4EdO6x6qUceeQTDhw837t4vKipC165dsWjRIs7PYTiOzufuXNoNK3Ki/WbLA8oVN7RlyZ0oayozs+oYJVC1RXl/owSqfl+5EmjatOr3XbuAGzesfknDdHd6vR4TJ07EwIED8eyzzwIAPvjgA3Tr1g2dO3fGiBEjcPPmTQDAwoULkZiYiDFjxqBjx47Izs7G+vXr0a5dO7Rv3x4jR47E7du3AQAnTpwwXuarbdu2+PLLL62OtTbULEUuPz+f7xBEg3LFDW1ZcifKmjp48J9jlFOm1GyUBq6uVfcDVcsfPGj1Sxqmu0tOTkZBQQE++eQTAMB3332HK1eu4Pjx4/jzzz/x1FNPYdasWcbHHThwACtWrMCZM2dQWFiIV155BXv27MGZM2fQs2dPPPfccwCA9957Dy+99BJOnz6Nc+fO4cknn7Q61trQbliRUygUfIcgGpQrbtzc3PgOQTREWVPVByXFxta9bPX7GzCYSS6X4//+7/+QkpKCkydPGi/UvG3bNpw8eRLx8fEAqgYCVZ/oISEhAcHBwQCqGmdCQgIiIiIAAC+88ALeeecdMMbQv39/vPPOO7h27RoGDBiA3nY4KZS2LEWurKyM7xBEg3LFjVjPHeSDKGuqeoO/cqXuZavf34AvBhcvXsTUqVOxadMmhIeHG29njOHf//43Tp8+jdOnT+Ps2bM4ffq08f7qc+8yxkwmgaj+/zlz5mDnzp0ICwvD66+/jhdeeMHqWGtDzVLk6Jw47ihX3EjhnDhHEWVN9etXdR4lAKxa9c9An/tpNFX3A1XL9+tn1cupVCqMGzcOixYtqrHF98gjj+CLL75Awf+uPq3VapGenm72eQYOHIjdu3cjJycHALBixQoMHDgQMpkMly9fxgMPPIBp06bh9ddfx4kTJ6yKtS60G1bkpDAzhqNQroitibKmoqOrJhzYtQu4ebNq1OvKlabHLjWaqttv3ar6feRIICrKqpf7/PPPcfnyZXzzzTf45ptvTO7bvXs38vPz0a9fP8hkMuh0OkydOhWdOnWq8Txt2rTBe++9hyFDhgAAIiMjjReQ/vTTT3HgwAG4urpCLpfjww8/tCrWusiYKP/ajlNcXAyFQgGlUglfX1++w6mhuLhYkHEJEeWKm1mzZuGzzz7jOwxREFJNVVRUICMjAzExMZZHNKelVU04YNiqbNrU9DzLVav+aZSurg06zxKoeSySD+byU5/Pd1Htbzl8+DBGjRqF8PBwyGQybNu2zeJjDh06hPj4eLi7u+OBBx7AihUr7B+oA9Ewf+4oV9zw/aEmJqKtqa5dge+//2dr8tatqnMpn3666t/qjfL77xs85Z0YJ5y/n6iaZWlpKTp06MD5W29GRgZGjBiBPn36ID09Ha+//jpmz56NzZs32zlSxykpKeE7BNGgXHFDA3y4E3VNjRlTtcWYkPDPMUwDmazq9iNHqpZrIClMzi+qY5bDhw/H8OHDOS+/YsUKNGvWDB999BEAoFWrVjh58iQ++OADPP7443aK0rH8/Pz4DkE0KFfc0Kkj3Im+prp2rZqZJzMTOHTI9KojVh6jNEcKeytE1Szr6/jx48aDwQZDhw5FSkoKtFqtOEey3aegoECc023xgHLFDU1KwJ0Qa8qqrbjoaJNLctmaTqfj/fO2ocNzJN0sc3JyEBISYnJbSEgIdDod8vLyEBYWVuMxarXa5KoLxcXFdo+zIYS2ogpZY8hVZWUlVCoVVCoV9Ho9oqKicOPGDZw+fRrl5eXQaDQICwvD4MGDcejQIRw7dgxarRaMMXTt2tU43dibb74JoGqassGDB6Nnz57YvHkz7t69CxcXF3h4eKBPnz6IiopCeno6ZDIZvL294ePjg8DAQElsSXAhpJpydXWFk5MT7ty5g6CgILi6ugrqWCGfVx5hjCE3Nxcymczqpi3pZgnUPLBs+HZRWxG99957Zif41Wg0yM/PR5MmTYzfJvPy8qBQKFBaWgo3NzdUVlaCMQZXV1eUlpZCoVCgsLDQuGyTJk1QXFwMDw8PaLVayGQyODs7o7y8HD4+PigqKjIu6+/vj6KiInh5eUGtVkMul8PJyQkajQaenp5QKpUIDAzE33//jQceeAAFBQXw9fVFWVmZsRh0Oh3c3d2hUqlqxO3n54eSkhKr45bL5VCr1fD29jYbt7e3NyoqKiCXyyGTyaDVao1xBwQEID8/3/ivQqEwxs0YQ2VlJdzd3VFSUgI/Pz+Lcbu4uKC8vBy+vr414lYqlfDy8oJGozHGWVvchYWF8PHxQUVFhXEuS0PcxcXF8Pf3N06cbfjbl5WVwdXVFXq9HpWVlXBzc0NpaanZuFUqFTw8PKDT6eoVd/V8e3l5oaCgAGq1GteuXYNOp8Pdu3cxfvx4nD9/HmvXrgVQtSu1RYsWGDNmDHQ6HYqLixEaGoqKigqEhoaiqKgIMTEx8Pf3h5OTE9zc3CCXy6HX66FQKPD888+joKAAnp6ekMvlqKioQIsWLRAUFATGGJRKJeRyOfLy8nDp0iVkZmaCMYZ79+5h1qxZCAgIwDfffAM/Pz94e3sjPDwcsbGxCAsLQ15eHgIDA1FQUAAfHx+Ul5cba1ar1cLDwwMqlcpsvg3r2v35vr9mq+fb2nXNkG/DupaXl4eAgACTdc0QZ13rmiM/I8LCwnD37l3cvn0ber0ecrncOBK1srISTk5ONbawZDIZ9Ho9nJycTB5jWFYmk5l8bhpuq8+yhi3L2pa9Pxaucdc3lsjISJN81+dLnWhPHZHJZNi6dSsee+yxWpd5+OGH0alTJ3z88cfG27Zu3YonnnjCpKlUZ27LMjIyUrCnjuh0OuMHO6mb2HJlaD7Z2dnIyclBdnY2xo4dC8YYPvzwQwQGBiIgIAABAQEYMmQItFotysrK4Ovr26CJBebMmWM8zm9NzEDVrsALFy6goKAAhYWFKCgowKRJk3D37l2sWLECISEhCAkJQUREBHr27Gl1rJxlZlbNbVr9mJwNdjsKsaYYY9DpdIK6hqQQ8uTi4lKjOdbn1BFh/ZVtrEePHthx32Vl9u7diy5dutS6Ke7m5iaqAQ6GrS9imdBzVVJSgqysLGRlZaFNmzZo2rQpVq1aBU9PT4SFhaFFixaQy+Xw8PAwu/fD1dXVOOdmQzRkNKxhj41cLke7du1q3B8SEoIZM2bg7t27uHv3LnJzcwEAaWlpOHz4MCIjIxEZGYmYmBiEhoZaHYdRWlrV5ah27za9wLFMVnVifnJyg06LEGJNGXY18n2MsDrD3iYxE1WzLCkpwbVr14y/Z2Rk4PTp0/D390ezZs3w2muv4fbt21i3bh0AYMaMGfjss88wb948TJs2DcePH0dKSgq+//57vt6CzYmpsfNNaLlSqVSoqKhAUFAQNm7ciJMnTyIoKAhR/xuFKJPJsGDBAocfd7Ln8UZnZ2dEREQYJ8M2aNWqFTw8PJCVlYUzZ84gLy8Po0aNwu+//46Kigo0b94c4eHh9dti3rLF9ALH1TFWNYNNamrVeYRWnh4htJoSKinkSVTN8uTJk+jfv7/x93nz5gEAkpKSsGbNGmRnZyMrK8t4f0xMDHbv3o25c+fi888/R3h4OD755BPJnDYC8HvQXGyEkKucnBz8/vvvuHbtGnJyctCrVy889thjGDRoEEaNGgVPT0+T5fkYoMHHOXHe3t5o27Yt2rZta3K7i4sLzp8/j9TUVADAhAkT0Lp1a5SVldXIlYm0NNNGGRlpOkNNSkrVifcaTdVyVs5QI4SaEgMp5Em0xywdRejT3alUKvj4+PAdhijwkauSkhJcuHABmZmZGDduHDIyMpCeno4WLVqgRYsW8PLycmg8XAhxuju9Xo/bt2/Dz88PHh4eSE5Ohr+/P1q3bo3WrVujWbNmpl8sEhKqthwBYNKkmhc4Nsx9un69cfkj83egvld2ovWPG6HmqT6f79QsLRB6s6yoqBDvlFsO5shcabVafPXVV8jKykLTpk3Rtm1b9O3bVxSnVMyePdt4cV6hKi8vx+XLl3H+/HlkZGRgwYIFKC0tRV5eHmJkMsiat4AMDMWKSPjeu2b+AscaDdC8OXDrFphMhmiWgWeSo7BwIfc4aP3jRqh5ogE+jUh5ebkgi1CI7JmrsrIynD59Gn/++Sf69u2Ldu3aoXfv3njggQcE+SWrLoar2guZh4cHOnbsiI4dOxpPE8jOzsYPP/yAZvtvYgqqtgGWKafAY7kr5s838ySurlW7Zt9+GzLG0A8HsWhREgYNAuctTFr/uJFCnqhZipzYPoj5ZK9c7du3D3v37kXTpk3RuXNnPPDAAwCAjh072uX17M0WI2odybD7tWXLlnjrrbeQp30T+K3qviuIxfcLqj6sFy70qPHYHZdjMep//1dAicWLuTdKgNY/rqSQJ2qWImc4wZZYZqtc5ebm4sSJE7h37x6mTp2Ktm3bomPHjggICLBBlPyrfp6x2Dg5OSH4wQeNv8fiCgBg0SIPnD37B5KT3dGmTRvI5XIsWQJUbLxibJZDxykw0twWaB1o/eNGCnmiZilyYi9AR2porsrKyrBu3TpkZGSgXbt26NevHxhjNaZUFDsPj5pbYKLSr1/VeZSMYZ5iFf6rfB1auGLLlm4oKzuIH38sx8cfu2PRv/X4G6sAAEwmw8j3+9X7pWj940YKeaJmKXKGqcOIZdbkqqysDMeOHUNsbCwiIyPRvn17PP3006I/wbou5eXlfIfQMNHRVRMO7NoFX+VN/NnpWXROXwktXLFnTz9ERQGqAg1W4llE4n/XbRw50qqrbND6x40U8kTNUuSaNGnCdwiiUZ9c5efn4/Dhw/jjjz8QHR2NuLg4yGQyx0zNxjMpnECO5OSqCQc0GrRNX488xQEsV07BFcQituAKpmCVsVHq5HKcGjoUD1nxMrT+cSOFPFGzFDmlUgl/f3++wxAFLrkyTPCekZGB8vJyzJo1q8ZsM1KnMTfjjdh07Vo1M8//JibwVd5CMt6uuZyrK/Rr16L1yJHQ6/X46quv0LFjR3Tt2pXTXKa0/nEjhTxZP9syEQQhntQuVHXl6ubNm0hJScHy5ctRUVGBLl26YMKECY2uUQIQ1JyiDTJmTNXMPAkJYPfNhKSHDDuQgLXTjsD1ySeNJ8z36NEDR44cwXvvvYejR49avAYirX/cSCFPtGUpchqNRhq7zRygtlxt3LgRp0+fRq9evTB+/HjRnw/WUFKYmsyoa1cs6b0DX+7MRF8cggJKVHopsLO0H7IQBXwO5EQC8+dXjaTt2LEjOnTogLNnzyIjIwMymQz5+fnw9fU1+yWC1j9upJAnapYiJ6SLuwpd9Vzl5OTg1q1b6NKlC+Lj4zFixAhBTsdFGmbJEmDBAgCIxjpEY/HiqsbYzHj7P/8aJi6QyWRo37492rdvDwBITU3FtWvXMGzYMHTu3NlkMnda/7iRQp6oWYqcGKZPEwq5XA6VSoW9e/ciLS0Nffr0AQC0aNGC58iEpSHXwhSSJdUaIgBjowT++be2hlnd+PHjcfr0afz88884dOgQpk+fbhwNTesfN1LIEzVLkVOr1eI/L85BSktL8fnnnyMqKgovv/yy6Iey24sUdsPW1SgNuDZMmUyGTp06oV27dvjrr7/g5eWF7Oxs6PV6eHl50frHgRQ+p6hZipyUz/ezBcYYTp8+DY1Gg/j4eMyZMwcKhYLvsARN7AN8jhyx3CgNzDXMXr3MT3nn7OyM+Ph4AFUDwrZu3YpOnTohISGh7suFEUl8Tkljf0sjVlRUxHcIgpWbm4uvvvoK27dvh7u7O4qKiqhRciDm6e6AqkaXnFz1/7oapcH8+VXLAVWP4zI3bLdu3fDSSy/h9u3bWLx4Me7evduwoCVOCp9TdIkuC4R+iS5iXnl5Od5991106dIFw4YNa/QjXOtj3rx5WLZsGd9hNNiRI/WbFL2+ywNVey6uXr2KFi1aoLCwEOXl5WjatGn9noTwpj6f77RlKXJ5eXl8hyAoly9fxpkzZ+Dh4YH58+fjscceMzZKyhU3op/u7n/q2/jquzxQNYlFbGwsnJyccOPGDXz++efYsWMHtFpt/Z9MwqSw7lGzFDmxz4phKxUVFdi4cSPWr19v3I14/6kglCtuaCucu+o11blzZ8ydOxeZmZn48MMPJdEgbEUK6x41S5ErLCzkOwTeqdVqfPDBB1AqlXjllVfQtWtXs8tRrripqKjgOwTRuL+mgoODMXPmTPTv3x9+fn4oKysT/TFgW5DCukejYUWuMZ9Ir1arkZ+fj/DwcDz99NOIioqq8+Tnxpyr+hDbxZ/5ZK6mnJyc8NBDVdOy79+/HydPnsSTTz5pvCh4YySFdY+2LEWusW4FGHZ1HThwAAAQHR1tcZaQxpqr+pLCeZaOYqmmBg8ejIcffhjffPMNfvnlF+j1egdFJixSWPdoy1LkuFwZQUoYYzhw4ABSU1MxYsQI9K7HqIzGlitrSWFqMkexVFMymQy9e/dG8+bNsXv3bmg0mkZ5TFgK65743wFpNBhjkMlkUKvVmDlzJg3RJ6IRFhaGqVOnAgB27tyJpk2bomPHjvwGReqFdsOKXGMZon7lyhV88cUX0Gq1GD58uFWNsrHkqqEa665Ca1hTU9HR0diyZQt+/PFH6HQ6O0QlPFJY96hZipzUp9lijCE1NRVr1qzhfEHe2kg9V7Yi9unuHMmammrbti3mzZuHO3fuYPXq1XaISniksO5RsxS54uJivkOwq19//RVpaWl48cUX0a1btwYdT5N6rmyFTnXgztqa8vPzw8yZMzFy5EgAgFKptGVYgiOFdY+apchJ4WRfcwoKClBZWYkePXpgzpw5CAsLa/BzSjVXttYYB6BYqyE15ezsjPDwcKhUKrz//vs4dOgQpDr7qBTWPWqWIpefn893CDZ36dIlLF++HJcuXYK3t7fNduFIMVf2IIVh/o5ii5ry8fHBc889h8OHD+OHH36Q5HFMKax71CxFTmrXZDx69CjWrVuH0aNHo02bNjZ9bqnlyl7Eft1BR7JVTTVr1gxz5szBvXv3cP78eZs8p5BIYd2jZilyUpp/sri4GIcPH8b06dPRuXNnmz+/lHJlT1KZSN0RbFlTPj4+mDVrFjp06IC7d+9Kql6l8F6oWYqcFK7PqNPpcOXKFfj6+mL+/PmIioqyy+tIIVeO4ObmxncIomHrmpLL5QCACxcu4JNPPkFGRoZNn58vUlj3qFmKXFlZGd8hNEhZWRlWrFiB1NRU6PV6ODnZryTFnitHkcI5cY5ir5rq378/hg8fjq+//hpnz561y2s4khTWPZrBR+TEPOm1UqnEihUrEBISgokTJ9q1UQLizpUjGbZuiGX2rKkePXpAoVDgjz/+QNu2bUU9DaEU1j1qliIn5tlWLl68iAceeACPP/643RslIO5cOZJUT1+wB3vXVOvWrdGqVStUVlbiwoULaN++vV1fz16ksO5RsxQ5MV4h4t69e3ByckL37t3x0EMPOewbsxhzxQdqltw5oqZkMhkKCgrw008/ITs7G0OGDBHdVqYU1j06ZilyYhuMcefOHXzxxRfG4fGOXOnFliu+0G5Y7hxVU4aLSv/+++/Yvn276L7QSGHdo2YpcqWlpXyHwNnNmzfx5Zdf4uGHH0bfvn0d/vpiyhWfaIAPd46sqZCQEMyaNQuZmZmimz5OCuseNUuR8/Pz4zsEzvbv348hQ4ZgwIABvLy+mHLFJylsBTiKo2vK398fs2fPhkKhwI0bN0SzhSmFdY+apcgVFBTwHYJFhnleExMT0adPH17jIJbRdHfc8VFThmu6rlu3Dj///LMoGqYU1j1qliIn9Gmk8vLy8Nlnn+HMmTMOGfFaF6HnSihoujvu+KopNzc3zJgxA2lpadi7dy8vMdSHFNY9apYiJ+RppAoKCrBixQp07txZEFeFF3KuhISmu+OOz5oKCgrCjBkzcPz4cdy8eZO3OLiQwrpHp46InFCPBTDG8O2336JNmzYYOXKkIIa6CzVXQkPHLLnju6ZCQkIwf/58eHh4QKvVCvbC3XznyRZoy1LkVCoV3yHUwBiDTCZDYmIiHnvsMUE0SkCYuRIijUbDdwiiIYSaMjTK999/H5cvX+Y7HLOEkKeGomYpckI7vqTX67F27VqcPXsWTZo0EUyjBISXK6FydqYdTlwJpaZcXFwwfPhwrFu3DllZWXyHU4NQ8tQQ1CxFTkgXimWMYevWrcjLy0OLFi34DqcGIeVKyKQwNZmjCKmmOnXqhGHDhiElJUVwF1sWUp6sRV8hRU5Iw8b379+P8+fPY/bs2YL8JimkXBFpEFpN9enTB97e3vD19eU7FBNCy5M1aMtS5IR0QN/T0xPPPvusYA/mCylXQsb3KT5iIsSa6tSpE/R6vfGyd0IgxDzVF21Zilx5eTnc3d15jSEnJwcymQw9evTgNQ5LhJArMZDCLjNHEWpNMcZw+vRplJaW4rHHHuM7HMHmqT7oK6TI8b27paysDKtWrcK5c+d4jYMLvnMlFlK49qCjCLWm3N3dMWXKFPz55584ceIE3+EINk/1Qc1S5AoLC3l7bb1ej3Xr1iEiIoK3+V7rg89ciYlareY7BNEQck0FBAQgKSkJhw4d4n1yfCHniStqliLH5zRSx48fR2lpKZ588klBnSJSGylMueUIQhycJVRCr6nmzZvjlVdegYuLC6/XlBR6nrigZilyfE4j1aNHDzz33HOimfFFClNuOQJNd8edGGrKyckJp06dwsqVK3kb8COGPFlCzVLkmjRp4vDXzM/Px+rVq6HX6+Hj4+Pw17cWH7kSI7F8+RECsdRU27ZtUVRUhNTUVF5eXyx5qgs1S5FTKpUOfT2dTodvv/0Wfn5+opvpxdG5Eiua7o47sdSUm5sbkpKScPjwYV6mxBNLnupCzVLkvLy8HPp6u3btgl6vx6hRoxz6urbg6FyJlRTOiXMUMdVUaGgoxo4dy8upQWLKU22oWYqcI7cCNBoNbty4gcTERNFtVQK0xcQVnwNBxEZsNdWpUye0adMGOTk5Dp1VR2x5Moeapcg5ahSqTqeDi4sLXnzxRdGObBPDiF0iLmKsKb1ej9WrV+PYsWMOe00x5ul+1CxFTi6X2/01DNemPHLkiKiL3hG5kgKa7o47MdaUk5MTnnjiCezatQt37951yGuKMU/3o7VC5BxxAvmpU6dw48YNdO7c2e6vZU90sj03tBuWO7HWVPPmzdGzZ0989913Dvl7izVP1YnvwBMxYe8D50VFRdi2bRsmTJgg+oP0Yo/fUWiAD3dirqlhw4YhLCzMIXsSxJwnA9qyFDl7D8kuLi5Gz5490bp1a7u+jiNIYfi6I0hhK8BRxFxTzs7OiI+PR25urt13x4o5TwbULEXOnoNtSktL0axZM4wYMcJur+FIYh2Y5Gg03R13UqipU6dO4YcffrDr7D5SyBM1S5Gz1zRSpaWlWLJkCW7fvm2X5+eDFKbccgSa7o47KdTUoEGDUF5ejqNHj9rtNaSQJ2qWIufv72+X5925cydiYmIQERFhl+fng71yJTViv+6gI0mhplxcXDB27Fjs2bMHRUVFdnkNKeRJdM3yiy++QExMDNzd3REfH4/ffvut1mUPHjwImUxW4+fSpUsOjNi+7HHpm7///htnzpzB6NGjbf7cfJLCZYIcoaKigu8QREMqNdWiRQtMnDjRbnM9SyFPomqWGzduxJw5c/DGG28gPT0dffr0wfDhw5GVlVXn4y5fvozs7Gzjz4MPPuigiO3PHsWtVqvxyCOPwM/Pz+bPzScxTfrOJ7r4M3dSqqnWrVtDpVJZ/Dy1hhTyJKpmuWzZMkydOhXPPvssWrVqhY8++giRkZH48ssv63xccHAwQkNDjT9SOEHWwNZbAeXl5WjdujUeeughmz6vENAWEzd0niV3Uqupy5cvY8OGDTafP1YKeRJNs9RoNDh16hSGDBlicvuQIUMsTtvUqVMnhIWFYeDAgThw4ECdy6rVahQXF5v8CJkt52hVqVT473//i/z8fJs9p5CIcT5bPoh5liZHk1pNde3aFW5ubjh8+LBNn1cKeRJNs8zLy0NlZSVCQkJMbg8JCUFOTo7Zx4SFheHrr7/G5s2bsWXLFsTFxWHgwIF1FsJ7770HhUJh/ImMjARQ1azz8/Oh1+uNI7vy8vKg1WpRVFSE8vJylJSUQKVSQa1Wo6CgAJWVlSbLVlZWorCwEBUVFVCpVCgpKUFFRQUKCwuh0+lMltXr9SgoKDA279LSUpSXl0OpVEKr1RqXLSwsBGMM+fn50Gq1UCqVKCsrQ1lZGYqLi2uNW6fT1Yh7x44dCA0NhZ+fn8W4y8vLUVRUVGvcGo3GGHdZWZlJ3Iwxk3+rx11aWmqMu6CggFPchhyay7chhyqVCmVlZXXGnZ+fb4zbkEND3Pn5+cZ4q//tlUolysvLjXEb/vbm4jbksL5xV8939b99Q+I25NBc3IbzLC3FfX8Oq8ddvWbNxW2oWY1GY1KzSqXSWLP1ifv+HFaP29p1ra64q//tLa1rfH9GmIu7ts+IgoICjB49Gjt27EBBQUGD4q6+rhmOWQrxM4IrGXPk1PMNcOfOHURERODYsWPo0aOH8fZ3330X69ev5zxoZ9SoUZDJZNi+fbvZ+9VqtclJ2cXFxYiMjIRSqYSvr2/D3oQdKJVKKBSKBj9PdnY2PvnkE7z88ssICAiwQWTCY6tcSd3MmTPx+eef8x2GKEi1ptLT09G6dWubXQhcqHkqLi6GQqHg9Pkumi3LwMBAyOXyGluR9+7dq7G1WZfu3bvj6tWrtd7v5uYGX19fkx8h8/T0tMnz5OfnY8CAAZJtlIDtciV1NN0dd1KtqU6dOkGn06GgoMAmzyeFPImmWbq6uiI+Ph6pqakmt6empqJnz56cnyc9PR1hYWG2Do83tjimyhhD27ZtMXjwYBtEJFxCP/4sFDTdHXdSrqlDhw5h8+bNNnkuKeRJNM0SAObNm4eVK1di1apVuHjxIubOnYusrCzMmDEDAPDaa69h0qRJxuU/+ugjbNu2DVevXsX58+fx2muvYfPmzZg1axZfb8HmGnqyL2MMn376KTIyMmwUkXBJ4cRoR6BJCbiTck3169cPN27cwN9//93g55JCnkQ1RGn8+PHIz8/H22+/jezsbLRt2xa7d+9GVFQUgKrjbtXPEdJoNHj55Zdx+/ZteHh4oE2bNti1a5dk5joFqnafNmTexTNnzkCpVBoHMklZQ3PVWEhhmL+jSLmmPD090bdvX/z888+YOXNmg0ZJSyFPohngw5f6HAAWG71ejw8//BC9e/c2GTRFGrd58+Zh2bJlfIdBBECtViM1NRXDhg2TxOkf95PkAB9iXkMmKM7JyYFMJkO3bt1sGJFwSWEyZ0egidS5k3pNubm5ISEhAYwxNGS7Sgp5omYpcg0Zjh0eHo558+ZJakajughx6LoQ2ep0gcagsdTUF198gfPnz1v9eCnkiZqlyJWWllr1uDNnzuCPP/5wyFXShcLaXDU2Wq2W7xBEo7HUVMeOHbF//36rty6lkKfG80kpUdZsBTDGsHfvXrte7FWIaIuJm8ayp8EWGktNde/eHbm5uVaPjJVCnqhZipw1De/y5csoKSlBly5d7BCRcDW2LwfWojF/3DWWmnJzc8PDDz9s9RVJpJAn6Q1vamSsuULEwYMH0adPH0mObqsLXU2DG2qW3DWmmho0aJDVp49IIU+N69NSgqzZvTFu3DhJTD9VX1LYFeQItBuWu8ZUUzKZDFlZWTh79ixGjhxZr8dKIU+0G1bk6nvg/Nq1a1AoFPDw8LBTRMIlhUEGjkADfLhrbDXl7e2Nw4cPo6ioqF6Pk0KeqFmKnJ+fH+dli4qK8M0330ClUtkvIAGrT64aMylsBThKY6spf39/tGzZEidOnKjX46SQJ2qWIlefqwL8/vvviIuLQ5MmTewYkXDZ6goKUkfT3XHXGGuqd+/eOHHiBHQ6HefHSCFP1CxFjut8i5WVlfj999/rdYUWqRH73JSO0hh30VurMdZUixYtMHXq1Hod25ZCnqhZihzXaaTKy8vRpk0bxMXF2Tki4ZLClFuOQNPdcdcYa0omk6Fp06a4ceMG58dIIU/ULEWO67EAb29vPP744w26coDYSeG4iSPQMUvuGmtNaTQafPPNN7h9+zan5aWQJ2qWIsdlsE5ubi4++eQTSZwY3BCNdWBTfWk0Gr5DEI3GWlNubm7o0KED0tLSOC0vhTxRsxQ5LseX0tLS0KRJk0Y1D6w5dCyOm8Y2WUVDNOaa6tKlC/78809OEw5IIU+N+9NTAiyNSGOM4c8//0R8fLyDIhKu+ozea8wa+x6I+mjMNRUTE4O4uDhOW41SyBN9hRQ5S1OTZWVlQaPRNOqBPQY0jRuxtcZcUzKZDBMnTuS0rBTyRFuWIufi4lLn/c2aNcNLL71EU5jBcq5Ilca+u74+GntNVVZWYuXKlSgpKalzOSnkidYKkatrmL9Op8OVK1fg6+vrwIiEi06J4EYKu8wcpbHXlFwuh0ajwenTp+tcTgp5omYpcj4+PrXed+HCBWzdutWB0QhbXbki/3B1deU7BNGgmgI6dOiAs2fP1rmMFPJEzVLk6prQ+MyZM+jYsWOjPreyuvpO/txYqdVqvkMQDaopoF27dsjIyKhzoI8U8kTNUuRqm0ZKp9Ph4sWLaNu2rYMjEi4pTLnlCFIY5u8oVFOAr68vZs6cWedl/6SQJ2qWIlfbNFKlpaVo3bo1IiIiHByRcElhyi1HkMLxJUehmqrSrFmzOrcepZAnapYiV9sVRBQKBSZOnEi7YKtprFdbqS+a7o47qqkqSqUSS5YsQVlZmdn7pZAnapYip1Qqa9zGGMP69etRXFzMQ0TCZS5XpCaa7o47qqkqfn5+CA8Px4ULF8zeL4U8UbMUOS8vrxq3ZWVl4cqVK/D29uYhIuEylytSkxTOiXMUqql/tGrVCpcvXzZ7nxTyRM1S5MyNXLx06RLi4uLo5PL70ChPbrjM9UmqUE39o66p76SQJ/o0FTlzM/NcvXoVsbGxPEQjbDSLETd0nJs7qql/REdHY8aMGWbvk0KeaG5YkTO39Ths2DCEhobyEI2w0ZY2N9QsuaOaMpWZmYmysjK0bt3a5HYp5En876CRu3/3hlarRfPmzel4pRlS2BXkCLQbljuqKVP37t3D/v37a9wuhTxRsxS5+w+c79ixAz///DNP0QibFAYZOAIN8OGOaspUbGwssrKyajRHKeSJmqXI3T8k++rVq4iKiuIpGmGTwvB1R5DCVoCjUE2Z8vPzg5+fH27cuGFyuxTyRM1S5KpPI1VSUoK8vDw88MADPEYkXFKYcssRaLo77qimaurfv3+NGpJCnqhZilz1aaRu376N4OBg+rCrhRSm3HIEmu6OO6qpmnr06IHIyEiT26SQJ2qWIhcQEGD8f1xcHObMmcNfMAJXPVekdu7u7nyHIBpUUzWVlJTgyy+/NBkoJoU8UbMUuYKCAuP/r127RiMZ61A9V6R2FRUVfIcgGlRTNXl5eeHOnTu4ffu28TYp5MmqZjl58mQcPnzY1rEQKxguqlpZWYmVK1dK4kC6vUjhArSOQBd/5o5qqiaZTIaYmBhkZmYab5NCnqxqliqVCkOGDMGDDz6I//73vybfIIhjGY4v3blzBy4uLggODuY5IuGiY3Hc6HQ6vkMQDaop85o2bWrSF6SQJ6ua5ebNm3H79m3MmjULP/74I6KjozF8+HD89NNP0Gq1to6R1MFwTtytW7fQtGlTmn2lDnT+IDdSmG3FUaimzIuPj0ffvn2Nv0shT1avFQEBAfjXv/6F9PR0/PHHH2jRogUSExMRHh6OuXPn4urVq7aMk1ggk8loPlhCiCAEBAQgNDQUer2e71BspsFfIbOzs7F3717s3bsXcrkcI0aMwPnz59G6dWssX77cFjGSOhi25Lt3747+/fvzHI2w0V4PbqT0AWdvVFO1q36ITgp5sqpZarVabN68GQkJCYiKisKPP/6IuXPnIjs7G2vXrsXevXuxfv16vP3227aOl9zHw8MDjDHs3buXRjFaQOefcuPsTNdX4IpqqnaBgYHGZimFPFm1VoSFhUGv1+Opp57CH3/8gY4dO9ZYZujQofDz82tgeMQSlUoFJycn/PrrrxgwYADf4QiaSqWSxPle9qbRaPgOQTSopmoXERGBO3fuAJBGnqxqlsuWLcMTTzxR58nLTZo0QUZGhtWBEW78/f1x8eJFBAcH0xaBBf7+/nyHIAo0KQF3VFO1CwkJwZ9//glAGnmq925YnU6HKVOm4Nq1a/aIh9RTfn4+7t69i5CQEL5DEbz8/Hy+QxAF2p3PHdVU7Tp27IgpU6YAkEae6r0p4uzsjKioKJopRiACAwMRHBwsiW9u9iaFyZwdQQrHlxyFaqp2Li4uuHv3LoKCgiSRJ6sG+Pz73//Ga6+9JokpjMQuLy8Pbdq0QYcOHfgORfCkMJmzI0jhBHJHoZqq22effYa7d+9KIk9WHeT65JNPcO3aNYSHhyMqKqrGhT0N+6mJ/SkUCmzcuBGDBg0S/QF0e1MoFHyHIApubm58hyAaVFO1k8lkCAoKQm5uLlq3bs13OA1mVbN87LHHbBwGsZZSqcTJkycxbNgwvkMRvNLSUhqhzYEUzolzFKqpugUGBiI3N1cSebKqWSYnJ9s6DmKlsrIyyOVy+Pr68h2K4NEWEzdyuZzvEESDaqpuQUFB0Gq1ksgTnWsgcvn5+fD396c5YTmgmWm4YYzxHYJoUE3VbciQIQCqtsDFzqoBPpWVlfjggw/QrVs3hIaGwt/f3+SHOE6TJk1oFyxHNIKbG2qW3FFN1a20tBQXL16URJ6sapaLFi0yTkygVCoxb948jBkzBk5OTli4cKGNQyR1CQsLQ/v27fkOQxSksCvIEWg3LHdUU3UrKCjAxo0bJZEnq5rlhg0b8M033+Dll1+Gs7MznnrqKaxcuRJvvfUWTpw4YesYSR127tyJ3377je8wREEKu4IcgQb4cEc1VTeFQoGSkhIUFxfzHUqDWdUsc3Jy0K5dOwCAt7c3lEolACAhIQG7du2yXXTEopKSEkns4nAEGubPjaurK98hiAbVVN28vb3h5OQkiTEVVjXLpk2bIjs7GwDQokUL7N27FwCQlpYmic1tMbl79y58fHz4DkMUCgsL+Q5BFNRqNd8hiAbVVN2cnJwQFxfXOKe7A4DRo0dj3759eOihh/Cvf/0LTz31FFJSUpCVlYW5c+faOkZSB8YYNUuOpDDlliPQdHfcUU1ZNnXqVL5DsAmrmuXixYuN/x87diyaNm2KY8eOoUWLFnjkkUdsFhyxbNCgQWjatCnfYYhCXl4efbhxQNPdcUc1ZVl6ejpcXV3Rpk0bvkNpEJucZ9m9e3d0797dFk9F6qlDhw50aS6OxD6DiKPQoRTuqKYsS0tLE32jBBrQLK9cuYKDBw/i3r17NU7MfeuttxocGLFMr9fjlVdewaJFi2gGHw5UKhWaNGnCdxiCRxd/5o5qyjJPT09JXHTDqmb5zTff4Pnnn0dgYCBCQ0NNRjrJZDJqlg6iVqvBGKMtAY7oWBw3tKeCO7HU1JEjQO/e9lu+Lh4eHpKY6ciq0bDvvPMO3n33XeTk5OD06dNIT083/tAVRxxHrVZDr9fTUH+O6PxBbjh9sGVmAmvWAB9/XPVvZqZ9gxIoMdTUwoVAnz7AkiXcll+ypGp5W80vExMTI4mtb6u+QhYWFmLcuHG2joXUU0VFBdzc3CRxDpMjUJ5sIC0NWLQI2L0bqD4tnkwGjBgBJCcDXbvyF5+DCb2mjhyp+nMBwIIFVf/On1/78kuW/LPcokXAoEEN38Ls3LkzSkpKGvYkAmDVluW4ceOM51Y62hdffIGYmBi4u7sjPj7e4uw1hw4dQnx8PNzd3fHAAw9gxYoVDorU/gIDA/Gvf/2L7zBEg3YvcuPkVMvHwpYtVZ+cu3aZNkqg6vddu6ru37LF/kEKhNBrqndvoNrJC1iwoPYtzOqNEqh6nC12xV66dAl//fVXw5+IZ1b9pVu0aIE333wTJ06cQLt27eDi4mJy/+zZs20S3P02btyIOXPm4IsvvkCvXr3w1VdfYfjw4bhw4QKaNWtWY/mMjAyMGDEC06ZNw7fffoujR4/ihRdeQFBQEB5//HG7xOhIMpms9g82UkN5eTnc3d35DkPwdDpdzRvT0oCnngIMg38iI4EpU4DYWODKFSAlBbh1q+r+p56q2qRpBFuYYqgpw5akoRGa28I01yjr2gKtj9u3byMjIwO9evWyzRPyhVkhOjq61p+YmBhrnpKTbt26sRkzZpjc1rJlS7ZgwQKzy7/66qusZcuWJrdNnz6dde/enfNrKpVKBoAplcr6B2xnN27cYMnJyXyHIRparZbvEEThX//6V80bR45krGr7kbFJkxhTq03vV6sZS0z8Z5mEBIfEyjcx1dTixf/8eYCq3+u63VYOHDjA1qxZY9sntZH6fL5btWWZkZFh247NgUajwalTp7Cg+tcfVF0v7dixY2Yfc/z4ceP11AyGDh2KlJQUaLXaGlvEYsMYo6nJ6qGoqIhOIOegRk1lZlYdowSqtii/+Qa4f1CZqyuwciVw4EDVFuauXcCNG0BUlENi5ouYasrcFubSpUD1szpsuUVpIJfLoVKpbPukPBDNPry8vDxUVlYiJCTE5PaQkBDk5OSYfUxOTo7Z5XU6HfLy8sw+Rq1Wo7i42ORHqPR6Pby8vPgOQzTE8qHGtxqnQxw8+M8xyilTajZKA1fXqvuBquUPHrRXiIIhtpqaP9/0GKa9GyUANGvWDD169LD9EzsY5y3LefPm4T//+Q+8vLwwb968OpddtmxZgwOrzf2jzxhjdY5IM7e8udsN3nvvPSwyDB+r5tVXX4VMJoO7uzsqKirg4eGB8vJyuLm5QavVQi6XG4fcy+VyaLVauLq6Qq1Wmyyr0Wjg7OxsXNbJyQk6na7Gsu7u7lCr1XBxcUFlZSVkMhlkMhkqKyvh4uICtVoNjUaD06dPIz8/3zgyVqvVGo9jMsYgl8uh0WjsEnf1WOqKG6hq7IZlDbEY/q0tbq1WCzc3N4tx15ZDQ9yGWAz31RZ3RUUFXF1dLcZtLhbGmMW4uf7t74/bUr5tHXdqairmzZtnXLbXyZMwjH1fc+wY/pw9u9a4O5w7h2f+t+xPKSk4fOqUxbh1Op3xb6/X6+Hs7GyxZu+P297r2v1xG2IxxGnvdc3Wcbu5LYVa/c8XbTe3EuTkvInnn7f9Z4RGo0FhYSGaNWsmuM+I+uDcLNPT043nFKWnp9e6nL2GUgcGBkIul9fYirx3716NrUeD0NBQs8s7OzsjICDA7GNee+01ky8DxcXFiIyMxNKlSwU3S45erzcWC7FMr9fTgCgO5s6da/qFd80a4OhRAMDknj0xua4T8JKTgX37AABjp07F2KQk+wUqAGKsqSVLgPv3tKvV3ggNXW6XLcvffvsNV69exRTDXgcBKS4u5nyGBOdmeeDAAbP/dxRXV1fEx8cjNTUVo0ePNt6empqKRx991OxjevTogR07dpjctnfvXnTp0qXW45Vubm6iaT6VlZW4fv06WrVqxXcoolBUVAR/f3++wxC8Gscs+/WrOo+SMWDVKuD1183vitVoqu4Hqpbv18/eofJObDV1/6hXf/9/dsVyOQ/TGnq9HhUVFbZ9Uh6I6ivRvHnzsHLlSqxatQoXL17E3LlzkZWVhRkzZgCo2iqcNGmScfkZM2bgxo0bmDdvHi5evIhVq1YhJSUFL7/8Ml9vwaby8vKwdu1avsMQDTq+y02NL5LR0VUTDgDAzZvAs8/+cwqJgUZTdfutW1W/jxwp+cE9gLhqytzpIfn53M/DtJZWq4W3t7dtn5QHVl/P0tzuVsMxvRYtWmDChAmIi4trcIDVjR8/Hvn5+Xj77beRnZ2Ntm3bYvfu3Yj630qZnZ2NrKws4/IxMTHYvXs35s6di88//xzh4eH45JNPJHGOJQDj/n3CjVqtFs1eAz4ZjpOaSE4GUlOrmuL69VWjXqufZ7lq1T+N0tUVaCTzQ4ulpuo6j5LLeZgN4efnZ/7cXbGx5tyUpKQkplAoWFRUFBszZgwbPXo0i46OZn5+fuyJJ55gcXFxzM3NjR05csSapxcUIZ9nWVhYyGbPns30ej3foYhCSUkJ3yGIwqxZs8zfsXkzY66upifl3f/j6lq1XCMhhprieh6lPc+3FGqe6vP5btVu2NDQUEyYMAHXr1/H5s2bsWXLFvz99994+umn0bx5c1y8eBFJSUmYb4+jxcTI1dUVnp6e5rcESA1iG4jBl1oH6Y0ZUzUzT0JC1TFJ0wdV3X7kSNVyjYTQa+rIEe4z89x/WsmCBVWPb6hz584hUwoT7VvTjQMDA9nly5dr3H758mUWEBDAGGPszJkzTKFQWPP0giLkLUvGqrYuCTeUK25eeOEFywtlZDC2Zg1jH39c9W9mpt3jEiIx1FRycv22FA1bmLaaHGz9+vVs+/bttnkyG7P7DD46nQ6XLl1CbGysye2XLl0ybuW4u7sLfkZ+Kbh16xbc3d0FPz+lEIhpMAafOM1sFR1d9dPIiaGmFi6s39VD5s8HevWy3fUsNRqN4E67s4ZV+xASExMxdepULF++HEeOHMHRo0exfPlyTJ061Tga9dChQ2jTpo1NgyU1ffvtt7h79y7fYYiCUqnkOwRRoEFj3Imlpurb+GzVKIGqyealMMDHqi3L5cuXIyQkBEuXLjV+UIeEhGDu3LnG45RDhgzBsGHDbBcpMSswMBBlZWV8hyEKYpuajC81prsjtaKasiw2NlYS54Jb1SzlcjneeOMNvPHGG8a5U+/fzDZ3ySxie4wxlJaW8h2GKOTl5dGHGwf1nQasMaOasmzw4MG1zsUtJg0eyuXr6yuJ/dFiFRsbK/qrpzhKbVMcElN0/Js7qqm6VVZW4vvvv2+8kxIAwE8//YRNmzYhKysLmvtm8/jzzz8bHBjhpnfv3rTCclRQUEC54kAKU5M5CtVU3UpLS3Hq1CkMHDhQ9F/CrNqy/OSTT/DMM88gODgY6enp6NatGwICAnD9+nUMHz7c1jGSOpSUlOD8+fN8hyEKtAeEGzHMSCMUVFN1KykpgYeHB5o0acJ3KA1mVbP84osv8PXXX+Ozzz6Dq6srXn31VaSmpmL27NmiGR0mFdevX8dvv/3GdxiiQAOhuDFcXYhYRjVVt+LiYvj4+EgiT1Y1y6ysLPTs2RNA1cg5w1WwExMT8f3339suOmJRYGAgCgsL+Q5DFOjYLjdCn5VGSKim6ubv74+BAwdKIk9WT3eXn58PAIiKisKJEycAABkZGcaLKxPHUCgUKCoqorwTQgQnODgY8fHxfIdhE1Y1ywEDBhivEzl16lTMnTsXgwcPxvjx402uNUnsz9vbG23btqVdZxxI4cRoR6AvXtxRTdVt586dOHPmjCTyZNVo2K+//hp6vR5A1TUj/f39ceTIEYwaNcp4bUniGN7e3khMTOQ7DFEQ+2g8R5HL5XyHIBpUU3X7+++/ERkZKYk8WdUsnZycTI5rPPHEE3jiiSdsFhThTqVS4fLlywgODkaLFi34DkfQVCoVDfPn4P5TwUjtqKbqVlBQAH9/f0nkyerzLCsqKnDmzBncu3fPuJVp8MgjjzQ4MMJNkyZNcOvWLRQXF1OztEAKw9cdQQpbAY5CNVW7iooKlJaWIiAgQBI1ZVWz3LNnDyZNmmR2CiOZTEbXV3SggoICBAcH48aNG3yHIngFBQU0NRkHNCkBd1RTtZPL5XjmmWfg6ekpiWkBrRrgM2vWLIwbNw7Z2dnQ6/UmP9QoHSswMBAhISG4d+8e36EInthXVkehidS5o5qqnbOzs/HKU1LIk1XN8t69e5g3bx5CQkJsHQ+pp7y8PDRt2hTdunXjOxTBk8Jkzo5AE6lzRzVVu+3bt+OXX34BII08WdUsx44di4MHD9o4FGINhUIBHx8f9O3bl+9QBE+hUPAdgijQdHfcUU3VLicnB35+fgCkkSerjll+9tlnGDduHH777Te0a9euxuwMs2fPtklwxLLS0lL4+flh69atiI2NpQtu18GQK1I3OmeXO6qp2uXk5Bj3PkohT1Y1y++++w6//PILPDw8cPDgQchkMuN9MpmMmqUDGbYC9Ho9MjIyqFnWgbaYuKHzLLmjmjKvtLQUKpUKoaGhAKSRJ6ua5b///W+8/fbbWLBgAc0jyTPDgKqmTZsiPT2d52iEjQafcXP/qWCkdlRT5nl6euLf//638ZQRKeTJqk6n0Wgwfvx4apQCYJiarGnTprh16xZNVVYHyg2xNaop8woLC03OrZRCnqzqdklJSdi4caOtYyFWcHV1BVA1uX1SUpIkitJeDLkidaPdsNxRTZm3ZcsWnDp1yvi7FPJk1W7YyspKLF26FL/88gvat29fY4DPsmXLbBIcsay0tBRubm6Qy+Vo0aIFKisraYu/FoZckbrRAB/uqKZqYowhKysLQ4YMMd4mhTxZ1SzPnj2LTp06AQDOnTtn04BI/VQfkr1r1y5otVq68kstpDB83RGksBXgKFRTNeXn50OtViM8PNx4mxTyZFWzPHDggK3jIFYqLCw0zo7RrFkzpKam8hyRcFXPFamdWq3mOwTRoJqqqaioCM2bN4ez8z/tRQp5qlezHDNmjMVlZDIZNm/ebHVApH6qF+ADDzyAnJwclJWVwdPTk8eohEnsK6uj0HR33FFN1dSiRYsaF3WQQp7qdXBLoVBY/PH19bVXrMSM6tNIeXt7IyQkBLdu3eIxIuGSwpRbjkDT3XFHNVXTkSNHatSQFPJUry3L1atX2ysOYqX7LxH0r3/9q8aAK1KFLqfEjdgHYjgS1ZSpgoICbN++vcZc1VLIEw2bFLni4mKT3xljuHTpEk/RCNv9uSLm0cWfuaOaMnXt2jVERUXVGCQmhTxRsxS5+48vqdVqpKSkoKSkhKeIhIuOxXFTfWAGqRvVlKlr166ZvQi9FPJEzVLk7j8nzsfHBxEREbR1aQadP8gNTXfHHdWUqYiICLPzU0shT9QsRa76JPYGrVq1omZphrlcEdIQVFOm+vbti6ZNm9a4XQp5omYpcuZ2mbVt25ZOHTGDdi9yQzNAcUc19Y9Dhw7h2LFjZu+TQp5orRA5c8P8IyIiOJ0T29jQKRHc6HQ6vkMQDaqpf5w6dcpk8vTqpJAnapYi5+PjY/b2c+fO1fotr7GqLVfEFE13xx3VVJWioiLk5OSgZcuWZu+XQp6oWYpcUVGR2dv1ej1+++03ugpJNbXlipii6e64o5qqcuHCBcTExNR6+EcKeaJmKXK1TSPVqlUrFBUVITs728ERCZcUptxyBCkM83cUqqkqHTt2rPPQjxTyRM1S5GqbRsrFxQVt2rTBX3/95eCIhEsKU245ghSOLzkK1RRQUVGByspKhISE1LqMFPJEzVLk/P39a71v0KBB6Ny5swOjEba6ckX+UdsgDVIT1RTw559/Yt26dXUuI4U8UbMUubqOBYSGhiIwMBAVFRWOC0jApHDcxBHomCV3VFNVzbJjx451LiOFPFGzFDkvL68679+yZQv27dvnoGiEzVKuSBWaiJ+7xl5TRUVFyMrKQocOHepcTgp5omYpcpa2Atq2bYs///yTpjADbTFxVVlZyXcIotHYa+revXvo1KkTvL2961xOCnkS/7QKjZxcLq/z/ri4ODDGcOXKlVrPgWosLOWKVJHC1GSO0thrKjY2FrGxsRaXk0KeaMtS5CxNTebk5IRu3brhzp07DopIuGgaN26oWXLXmGvq1q1b+PXXXzktK4U80ZalyGk0GovnxQ0dOpQ+AMEtV4R2w9ZHY66pY8eOcZ7zVQp5En+7b+S4TJguk8lw8eLFRn/OJU0uzw0N8OGusdZURUUF0tPT0b17d07LSyFP1CxFTqlUclqutLQUqampjXr6O665auykMBjDURprTaWnpyM0NBTh4eGclpdCnqhZihzXaaQ6dOgApVKJ69ev2zki4ZLClFuOIPbdZY7UWGuqdevWePzxxzkvL4U8UbMUOa7TSLm4uKB79+747bff7ByRcElhyi1HoOnuuGuMNaVUKuHu7m72Is+1kUKeaICPyAUEBHBetk+fPsjPz7djNMJWn1w1ZjTdHXeNsaa2b9+OJk2aICEhgfNjpJAn2rIUuYKCAs7L+vr6Ijo6utE2zPrkqjGj6RG5a2w1VVBQgHPnzqFnz571fpzYUbMUOV9f33otf/PmTSxfvrxRDuKob64aKzc3N75DEI3GVlNHjhxB27Zt6z0xuhTyRM1S5MrKyuq1fGRkJAICApCWlmaniISrvrlqrLRaLd8hiEZjq6nKykr07du33o+TQp6oWYpcfc+Jk8lkGDBgAA4ePNjoTj6n8we5kcJsK47S2Gpq9OjRaNasWb0fJ4U80VrRCLVr1w5RUVGSOPeJEGJ/Op0On332mSQutWUtGg0rcjqdrt6PcXJyQmJioh2iETZrctUYNeaJK+qrsdTUiRMnoNFooFAorHq8FPJEW5Yi15Bh/lu2bMGpU6dsGI2w0SkR3EjhChGO0hhqSqfTYf/+/Rg8eLDVc0xLIU/ULEVOpVJZ/diIiAjs27ev0WxJNCRXjYlGo+E7BNFoDDV16dIleHl5oW3btlY/hxTyRM1S5Jo0aWL1Y7t06QKNRoPTp0/bLiABa0iuGhMpbAU4SmOoqbZt22LWrFkNunKRFPJEzVLkGnKyr1wux9ChQ/HHH3/YMCLhksKJ0Y5AkxJwJ/Wa+uuvv3Dt2rUGn3srhTyJplkWFhYiMTERCoUCCoUCiYmJFkdmTZ48GTKZzOSH6yVlxKKhExTHx8dj6tSpNopG2KQwmbMj0ETq3Em5pioqKrBlyxab7JaXQp5E0ywnTJiA06dPY8+ePdizZw9Onz7NaUTnsGHDkJ2dbfzZvXu3A6J1nIZOUOzk5ATGGLZs2SL5LQopTObsCDSROndSrqn9+/cjNDQUrVq1avBzSSFPojh15OLFi9izZw9OnDiBhx56CADwzTffoEePHrh8+TLi4uJqfaybmxtCQ0MdFarD+fn5Nfg5nJ2dkZ2djUOHDmHo0KEND0qgbJGrxoCmu+NOqjWlUqnw22+/YebMmQ06VmkghTyJYsvy+PHjUCgUxkYJAN27d4dCocCxY8fqfOzBgwcRHByM2NhYTJs2Dffu3bN3uA5VUlLS4OeQyWRISEjA4cOHUVxcbIOohMkWuWoMaLo77qRaU97e3pg5c2a9LsNVFynkSRTNMicnB8HBwTVuDw4ORk5OTq2PGz58ODZs2ID9+/fjww8/RFpaGgYMGFDnJOJqtRrFxcUmP0Jmq62AqKgotGzZEvv27bPJ8wkRbTFxQ+dZcifFmrp79y6ysrJs1igBaeSJ12a5cOHCGgNw7v85efIkAJjdFcAYq3MXwfjx4zFy5Ei0bdsWo0aNws8//4wrV65g165dtT7mvffeMw4iUigUiIyMBFB17ll+fj70er1x/3teXh60Wi2KiopQXl6OkpISqFQqqNVqFBQUoLKy0mTZyspKFBYWoqKiAiqVCiUlJaioqEBhYSF0Op3Jsnq9HgUFBcbmXVpaivLyciiVSmi1WpNlGWPIz8+HVquFUqlEWVkZysrKUFxcXGvcOp2uRtwjRozAQw89xCnu8vJyFBUV1Rq3RqMxxl1WVmYSN2PM5N/qcZeWlhrjLigo4BS3IYfm4jbkUKVSQaVS1Rl3fn6+MW5DDg1x5+fnG+Ot/rdXKpUoLy83xm3425uL25DD+sZdPd/3/+2tjduQQ3NxG45ZWor7/hxWj7t6zZqL21CzGo3GpGaVSqWxZusT9/05rB63tetaXXEb/vYlJSUW1zUxfUbk5ubip59+wtGjR82ua/WJWyyfEVzJGI9npOfl5Vk88BsdHY3vvvsO8+bNqzH61c/PD8uXL8czzzzD+TUffPBBPPvss5g/f77Z+9VqtcmWZ3FxMSIjI6FUKgV5mRmVSgUfHx+bPZ9arcbRo0fRr18/yU2obetcSdWsWbPw2Wef8R2GKEitpk6ePImff/4Zr776qk23BoWap+LiYigUCk6f77wO8AkMDOQ0pLhHjx5QKpX4448/0K1bNwDA77//DqVSWa+LkObn5+PmzZsICwurdRk3NzdR7TJwdXW16fPJ5XL88ccfcHd3r/cFXoXO1rmSKtoNy52Uaqq8vBw7d+7E448/bvPPQCnkSRSbDq1atcKwYcMwbdo0nDhxAidOnMC0adOQkJBgMhK2ZcuW2Lp1K4CqA8ovv/wyjh8/jszMTBw8eBCjRo1CYGAgRo8ezddbsbnS0lKbPp+zszMee+wx/PzzzzZ/br5J7f3YCw3w4U5KNeXu7o7x48c3aFq72kghT6JolgCwYcMGtGvXDkOGDMGQIUPQvn17rF+/3mSZy5cvGy87JZfLcfbsWTz66KOIjY1FUlISYmNjcfz4cUHuDrCWtVcBqEvLli3xwAMPYM+ePTZ/bj7ZI1dSJIWtAEeRSk1lZ2fj7t27aNWqlU1OFbmfFPIkivMsAcDf3x/ffvttnctUP/zq4eGBX375xd5h8a6wsNAus2OMHTvW5s/JN3vlSmrqGi1OTEmhpiorK/HDDz+gTZs2djsnXQp5Es2WJTHPXgXo4+MDT09P7Nu3TzIz+4h9ZXUUmu6OOynU1IEDB1BZWYkBAwbY7TWkkCdqliJnz2mknJyccPXq1TpPtRETKUy55Qg03R13Yq+pu3fvYt++fRg/fjycne23o1HseQKoWYqePS99I5PJMG7cOJw6dQp///233V7HUaRwmSBHENNocL6JvaaCgoLw7LPPGs8ntxex5wmgZil69p5hKCAgAMOHD8e2bdtEf5Fooc/GJBR08WfuxFxTp0+fRnFxMZo3b2731xJzngyoWYqcI44v9e7dG1OmTLHLKDlHomNx3Nhzd5zUiLWm7ty5g40bNzpszlax5qk6apYi54hz4mQyGZo0aYLff/8df/31l91fz17o/EFu9Ho93yGIhhhrSq1WY/369RgwYIBN53+tixjzdD9qliLnyK09Ly8v/PjjjygsLHTYa9qS2LeMifCIsaYOHDgAX19fDBw40GGvKcY83Y+apcg5cmqytm3bomPHjvjuu+9EufVB07hxI7U5ge1JjDU1YMAAJCYmOvTvLMY83Y/WCpFz9AnkjzzyCMrLy5GVleXQ17UFOtmem/pciaGxE1NN5efnY9OmTXB2doa3t7dDX1tMeaoNHckXOUcXvaurK+bOnQu5XI7KykpRfWN0dK7EysXFhe8QREMsNaXT6fDtt98iKiqKlz0HYslTXWjLUuTuv2yZI8jlchQXF2PJkiXIz893+Otbi49ciZEUtgIcRSw1ZbjAREJCAi+vL5Y81YWapcjxNY2Ur68vWrVqhbVr14pmpJsUptxyBCkM83cUMdSUSqXCzZs3kZSUxNtpQWLIkyXULEWOz2mkHnnkEbi4uGDLli2imLBAClNuOQJNd8ed0GuqvLwcPj4+mDt3Lvz8/HiLQ+h54oKapcj5+/vz9tpyuRyTJk2Cj4+PKJoln7kSE3d3d75DEA0h11RxcTHef/99ZGZm8n7qhpDzxBU1S5Hj+1iAQqHAiBEjUF5ejoyMDF5jsYTvXIkFHbPkTqg1pdPpsHbtWjz44IOIioriOxzB5qk+qFmKnFBGmWVkZCAlJQXZ2dl8h1IroeRK6Gg0LHdCrCnGGH744QcAVdel5XurEhBmnuqLmqXICeVak23btkXfvn2RkpIClUrFdzhmCSVXQkfnWXInxJqSyWTo0KEDnnnmGcF88RFinuqLmqXICek8x0GDBuGBBx7Ajh07+A7FLCHlSsiEsCUiFkKrqZMnTyIrKwvt2rUT1Nac0PJkDWqWIiekDzaZTIYnnngCo0ePBmNMcFPiCSlXRBqEVFOXLl3C5s2bBblnQEh5shY1S5ET2jmOzs7O8PDwwP79+7Fp0yZBjZIVWq6ESmhfcoRMKDV148YNrF+/Hk888QRiYmL4DqcGoeSpIahZipynpyffIZjVtWtXZGRkYPv27YJpmELNldAI5TiXGAilptLS0jBixAh06tSJ71DMEkqeGoKapcgplUq+QzDL19cXzz33HE6fPo0DBw7wHQ4A4eZKaOjUEe74rqn8/Hyo1Wo8/vjj6NWrF6+x1IXvPNkCNUuRCwgI4DuEWgUEBOC5555Ds2bN+A4FgLBzJSQ0KQF3fNZUUVERvvzyS5w8eVLwxwSlsO5RsxQ5oU9kHhYWhhYtWuDixYs4duwYr7EIPVdCIYVh/o7CV00VFxdjxYoVaN26NXr27MlLDPUhhXWPmqXIieUbm6enJ3bv3o2jR4/yFoNYcsU32rLkjq+a+uGHHxAdHY3Ro0cLfqsSkMa6R81S5MTyjS0qKgrPPfccfv75Zxw5coSXGMSSK77RliV3jq4pwyT3Tz31FMaPHy+KRglIY92jZilyCoWC7xA4a9asGZ577jmUlJTw8vpiyhWf3Nzc+A5BNBxZU/n5+fjwww9x6dIl+Pj4iKZRAtJY96hZilxZWRnfIdRLs2bNMGzYMKhUKhw5csShp5WILVd8kcI5cY7iqJrKzc3FF198gQ4dOiAuLs4hr2lLUlj3qFmKnFjPiSsrK8P+/fuxbds2hzVMsebK0Zyc6GOBK0fUlEajwZdffon4+HgkJCSIaovSQArrHq0VIieUE/7rKyQkBLNmzcLly5exYcMGh0zRJdZcEeGyd01VVFTA1dUV06dPx4gRI0TZKAFprHvULEVOiPNAcuXv749Zs2bB2dnZIbv+xJwrR5LCB5uj2LOm0tLSsGTJEqjVaoSEhNjtdRxBCuseNUuRE/swf29vbzz55JNwc3NDamqqXWf6EHuuHEUKV4hwFHvUFGMM+/btw//93/9h4sSJkhhwJYV1j5qlyPE1stTW9Ho9CgoK8PHHH+PWrVt2eQ2p5MreaIAPd/aoqTNnzuDIkSN44YUX0KJFC5s/Px+ksO458x0AaRg/Pz++Q7AJuVyOJ554AocOHcKXX36JCRMmoE2bNjZ9Dankyt6ksCXjKLasKUNDadeuHWJiYuDr62uz5+abFNY92rIUuYKCAr5DsBmZTIZ+/fphwoQJdrlKgZRyZU80KQF3tqqpO3fu4OOPP8aJEyfg5OQkqUYJSGPdo2YpcoGBgXyHYHNt2rRBTEwMzp8/j2+//dZmV8GQYq7swcPDg+8QRMMWNXXu3Dl8/vnneOihhzBw4EAbRCU8Ulj3qFmKXF5eHt8h2E1UVBRKSkrw8ccf4+7duw1+PinnypYMU6oRyxpaU3q9Hvv27cNTTz2FQYMGifbUEEuksO5RsxQ5KRwLqI23tzeee+45tG/fHp988kmDR8pKOVe2RMcsubO2poqLi7F//37IZDLMnj0bbdu2tW1gAiOFdY+apchJYZRZXZycnDBs2DC8+OKLUCgUyMvLg06ns+q5pJ4rW6HRsNxZU1NXrlzBsmXLcO/ePej1esluTVYnhXWPRsOKXGPZCggNDQUA7Ny5EwUFBZg4cWK9T9RuLLlqKDrPkrv61tShQ4fwyy+/YPTo0ejataudohIeKax7tGUpclKYGaM+EhMTERcXh48++ghHjx6t12wzjS1X1tLr9XyHIBpca8owkXizZs3w4osvNqpGCUhj3aMtS5FrbFOTyeVyjBw5EnFxcfjrr7/q9djGlitif5ZqijGG48ePY9euXZgzZw5iYmIcFJmwSGHdo2YpclKYzd8aLVq0QIsWLVBZWYmUlBT07NnT4iCJxpqr+qKrjnBXV00VFxdj06ZNyM7OxuTJkxEUFOTAyIRFCuserRUi19iH+Ts5OaFLly7YtGkT1q1bB5VKVeuyjT1XXFk7gKoxqqumrl+/Di8vL7z88st48MEHHRiV8Ehh3aNmKXJSm+mjvmQyGTp37oxXX30VTk5O+PHHH2tdtrHniitXV1e+QxCN+2sqLy8P33zzDW7duoWOHTviqaeeokkeII11j5qlyBUWFvIdgiB4e3vj6aefRmJiIhhj2LlzJ/Lz802WoVxxY6sZkxoDQ01VVlZi3759+PDDDxEQECCJGWtsSQrrHjVLkaOV0pSLiwsqKyuh0WjwwQcf4JdffjGeN0i54oa2hLgz1FR6ejrS09MxY8YMjBkzRhKXpLIlKax71CxFTgrTSNmas7MzxowZgxdeeAFXrlzB+vXrAVCuuJLC8SUAOHLEvssXFRXh66+/Rl5eHjp37oy5c+ciKiqqfk/SSEhh3aNmKXJNmjThOwTBioyMxKxZszBu3DgAwO+//47s7GyeoxI+KZxAvnAh0KcPsGQJt+WXLKlafuFCy8tqNBr88ssvWLJkCby8vODq6gonJyeazKEOUvicomYpcg2dL1XqZDIZfHx8oNfrUVxcjI8//hibNm1CUVER36EJlkaj4TuEBjlyBFi0qOr/CxZYbphLllQtB1Q9ztIW5okTJ3DlyhU8//zzGD58uCQGr9ibFD6nqFmKnJeXF98hiIKTkxPGjBmDl19+GRqNBikpKZI4UdoexH5OXO/ewOLF//xeV8Os3iiBqsf17m26DGMM58+fx6effgqVSoXevXtj1qxZaNasGa1/HEkhTzQpgchpNBpJ7DZzBI1Gg8DAQDz99NPQaDSQyWTYvHkzFAoF+vTpQ3n8HylMTTZ/ftW/hkZo+NdwO2C+UVa/HwCuXr2K3bt3o6ioCAMHDoSHh4fJpA20/nEjhTxRsxS5xnDFAlupnivDuYQdO3bE7t278dtvv6FPnz54+OGH6TxDiairYdbVKBljKC4uhkKhwI0bN9C+fXv06tXLbF3Q+seNFPJEzVLkaFABd+Zy1bx5c8yaNQtXr17F0aNHIZPJUFpaCsYYvL29eYiSf1Ka7s7QAL9ckIl+OIg7C5SY9R8Fdpb2AxAN4J9Gadjdun//fpSVlWH+/PkYNGhQnc9P6x83UsgTNUuRU6vVdF4cR7XlSiaTITY2FrGxsQCAkydPYvv27XjooYfw8MMPw9/f39Gh8koKu2GN0tIw/7dFeFW2GzLDMepS4BPIsBsjkD8zGUnzu6KyshLLly9HeXk5Hn74YXTv3p3T1hCtf9xIIU/ULEWusW79WINrrnr06IFmzZph//79WLJkCZ588kl06tTJztEJh9gH+Bht2QI89RSg0eD+tucEhgTsgv7rvciIeQ8xL72E0aNHIzo6ul5bQbT+cSOFPFGzFLmioiJJzI7hCPXJVUREBBITE1FUVARXV1eo1Wp8/fXX6NKlC+Lj4yV9XFMS092lpRkbJQAUKyKxTDkFVxCLWFzBVKQgErfgpNUi+rXXgIcfRnMrrjFJ6x83UsiTdA5ONFJiL0BHsiZXfn5+8PT0hFwuR/fu3XH8+HH85z//wY4dO+wQoTCIfXcZgKoTJv/XKM92noRA5TUswkJ8jwn42O9NNMffWIdEAIBMqwXeftuql6H1jxsp5ImapchJYRopR2lIrpydndG1a1fMnTsXU6dORXBwMADg1KlTOHToUJ2XBhMb0U93l5kJ7N4NACj0iUD8n99Ai6o9AQsXVqCwUI7/LHbFs1iJm2gKAGC7dgE3btT7pWj940YKeaJmKXKNbfBJQ9giVzKZDNHR0XjooYcAVG2FXbx4Ee+88w5Wr16N27dvN/g1+CbmScAZYyjcuhX432Cej1XPGhvl4sVAcnLVe5s/H/jPYleswhQAgIwx7HrlYL1fj9Y/bqSQJzpmKXKFhYUICAjgOwxRsEeuWrdujdatWyM/Px/p6emQy+XQ6/X4/vvv0bJlS7Rp00Z0zaeiooLvEOotNzcXv//+O86ePYu2+/Zh1P9uv4KqEc7mJhyYPx/YkR4LbKz6/ZcflTi3pOZydaH1jxsp5Im2LEXOx8eH7xBEw565CggIwKBBgxAaGgqdToeQkBAcPHgQycnJWLNmDRhjopleTwyDl3Q6Ha5evYrU1FQAQEFBAUpKSvDII4/gwS5PGZeLxRWzjdJgVNwV4/+VUGDBgvpdfYTWP26kkCfashS5iooKUXy4CYGjcuXq6opBgwZh0KBByM3NRVZWFmQyGX7//XccOnQILVu2RKtWrRATEwNnZ+GtgkI8z9LwRUOj0eDbb7/FtWvX4OHhgTZt2qCyshJxcXGIi4urWniGF9gSGWRgmKdYBd+5rwMw83fXaIBVq6qeXybDQdYPyck154atC61/3EghT8JbU0m9CPHDVqj4yFVQUBCCgoIAAB06dICnpycuXbqEH374AW3atMGYMWNw8eJFODs7IyoqShAfKEKZmiwvLw/Xr19HRkYGrly5gnHjxiEuLg6tW7fGyJEjERISYj7W6GjIRo4Adu2Cr/Im8OyzwMqVQPXcajRVt9+6BQCQjRyJDfOj6tUoAVr/uJJCnkTzDt59913s2rULp0+fhqurK6dLLDHGsGjRInz99dcoLCzEQw89hM8//xxt2rSxf8CE3Mfd3R3t2rVDu3btwBgzXgrrxo0bSEtLg0qlQtOmTfHoo48iKioKRUVFUCgUgmle9qRWq3Hnzh1kZmYiICAA7du3x+7du6FSqRAdHY3x48cjJiYGMpkMPXr0sPyEyclAampVU1y/HjhwAJgyBYiNBa5cqdqi/F+jhKsr8NZb6F3/0yxJIyKaZqnRaDBu3Dj06NEDKSkpnB6zdOlSLFu2DGvWrEFsbCzeeecdDB48GJcvX5bEPnQA0Gq1fIcgGkLKlUwmM16FYdiwYRg6dCgKCwtx/fp1KBQK6PV6vP/++5DJZIiIiEBERAQGDx4MNzc3aLVau17BQa/X2+25GWNQKpW4c+cOtFotOnTogMOHD2P79u3w8fFBVFSUcUs8MTHR+i8KXbsC33//z8QEt26ZP5fS1bVqOSsmJACEVVNCJoU8iaZZLvrf1VzXrFnDaXnGGD766CO88cYbGDNmDABg7dq1CAkJwXfffYfp06fbK1SH8vT05DsE0RByrmQyGfz9/U2G2L/99tu4e/cubt26hdu3b8PV1RU5OTlYtmwZFAoFgoKCEBERgVGjRqGkpARKpRIKhQJeXl4N2hpt6HR3er0eRUVFKCwsRF5eHpRKJYYMGYK///4bK1euhE6nQ3BwMGJjY9GhQwd07twZnTp1qvEFtsFb1GPGVI3WefttYNcu4+kk/3tyYORI4K23rG6UgLBrSkikkCfRNMv6ysjIQE5ODoYMGWK8zc3NDX379sWxY8dqbZZqtdpkuq/i4mK7x9oQxcXFoh+S7Shiy5VcLkd4eDjCw8ONt4WFhWHhwoXIzc1Fbm4uysrKAACZmZnYtGkTysrKIJfL0bZtWyQmJuLcuXO4dOkSPD094eHhgcjISLRo0QJ37941Luvs7AxfX194e3ujpKQExcXFyMvLg16vh4+PDzw8PJCdnY3S0lJUVFSgoqICsbGx8PX1xa5du6BSqaBUKqFSqTBt2jQAwOLFi+Hr64vAwEAEBQVBr9cjIiICc+bMQUBAgMkxLLvOG9q1K7BjR9VEBYcOAUoloFAA/foBUVENfnqx1RRfpJAnyTbLnJwcAEBISIjJ7SEhIbhRx0wd7733nnErtjqNRoP8/Hw0adIEBQUFCAwMRF5eHhQKBUpLS+Hm5obKykowxuDq6orS0lIoFAoUFhYal23SpAmKi4vh4eEBrVYLmUwGZ2dnlJeXw8fHxzh/Yl5eHvz9/VFUVAQvLy+o1WrI5XI4OTlBo9HA09MTSqUSgYGBxlMSCgoK4Ovri7KyMuOWgU6ng7u7O1QqVY24/fz8UFJSYnXccrkcarUa3t7eZuP29vZGRUUF5HI5ZDIZtFqtMe6AgADk5+cb/1UoFMa4GWOorKyEu7s7SkpK4OfnZzFuFxcXlJeXw9fXt0bcSqUSXl5e0Gg0cHV1RXl5ea1xFxYWwsfHBxUVFcYPc0PcxcXF8Pf3R35+vsnfvqysDK6urtDr9aisrISbmxtKS0vNxq1SqeDh4QGdTlevuKvn28vLCxUVFYiJiYGPj48xptjYWLz88svG3ZwVFRXQarVQq9Xw9PTEvXv34OzsjLKyMkRFReHgwYO4ePEidDodtFotBgwYgK5du2Ljxo34888/8cEHH6CiogJPPfUUYmNj8cMPP0CpVMLNzQ1eXl7w8PBAXFwclEolgoKC0KRJE0RERKC8vBx+fn54/fXX4eLiAicnJ6jValRWVqKkpAQhISHIy8tDQEAACgoK4OPjg/LycmPNarVaeHh4QKVSmc23YV27P9/312z1fGu1WsgCA+E8frzpugbUua4Z8m1Y16rHbVjX3N3dUVZWVue6xvdnhLm4Hf0ZYRjNLLTPiHpdOozxKDk5mQGo8yctLc3kMatXr2YKhcLicx89epQBYHfu3DG5/dlnn2VDhw6t9XEVFRVMqVQaf27evMkAMKVSadV7tLfc3Fy+QxANypVler2ezZgxg+8wRINqihuh5kmpVHL+fOd1y3LWrFl48skn61wmOjraqucODQ0FULWFGRYWZrz93r17NbY2q3Nzc7Pr4Albk8IExY5CubJMJpNJYyJ1B6Ga4kYKeeK1WQYGBtotiTExMQgNDUVqaqrxWoQajQaHDh3CkiVL7PKafMjLy5NEIToC5Yob0U+k7kBUU9xIIU+ime4uKysLp0+fRlZWFiorK3H69GmcPn0aJSUlxmVatmyJrVu3Aqj6hjxnzhz897//xdatW3Hu3DlMnjwZnp6emDBhAl9vw+YUCgXfIYgG5YobMe1Z4RvVFDdSyJNoBvi89dZbWLt2rfF3w9bigQMH0K9fPwDA5cuXoVQqjcu8+uqrKC8vxwsvvGCclGDv3r2SOccSAMrKyiRRiI5AueJGCufEOQrVFDdSyJOMMZHM7syT4uJiKBQKKJVK+Pr68h1ODeXl5XSMiSPKFTezZ8/GJ598wncYokA1xY1Q81Sfz3fR7IYl5tlzthWpoVxxQ9+fuaOa4kYKeaJmKXJCvEKEUFGuuKFmyR3VFDdSyBM1S5GjwRjcUa64qdeJ2o0c1RQ3UsgTNUuRKy0t5TsE0aBccUMDfLijmuJGCnmiZilyfn5+fIcgGpQrbqSwFeAoVFPcSCFP1CxFrqCggO8QRINyxU1FRQXfIYgG1RQ3UsgTNUuRE/usGI5EueJGiEP8hYpqihsp5Imapcjl5eXxHYJoUK64oenuuKOa4kYKeaJmKXJSOBbgKJQrbuiYJXdUU9xIIU/ULEVOpVLxHYJoUK640Wg0fIcgGlRT3EghT9QsRY6OL3FHueLGcOFrYhnVFDdSyBM1S5HT6XR8hyAalCtupDA1maNQTXEjhTxRsxQ5mpqMO8oVsTWqKW6kkCdqliLn4uLCdwiiQbnixsmJPha4opriRgp5orVC5GiYP3eUK26ksMvMUaimuJFCnqhZipwQr7EpVJQrblxdXfkOQTSopriRQp6oWYpcYWEh3yGIBuWKG7VazXcIokE1xY0U8kTNUuSkMI2Uo1CuuJHCMH9HoZriRgp5omYpclKYRspRKFfcSOH4kqNQTXEjhTxRsxS5Jk2a8B2CaFCuuKHp7rijmuJGCnmiZilySqWS7xBEg3LFDU13xx3VFDdSyBM1S5Hz8vLiOwTRoFxxI4Vz4hyFaoobKeSJmqXI0VYAd5QrbiorK/kOQTSopriRQp6oWYqcTCbjOwTRoFwRW6Oa4kYKeaJmKXJyuZzvEESDcsUNTXfHHdUUN1LIE60VIkcnkHNHueKGdsNyRzXFjRTyRM1S5KRw4NxRKFfc0AAf7qimuJFCnqhZipwUhmQ7CuWKGylsBTgK1RQ3UsgTNUuRk8I0Uo5CueKGprvjjmqKGynkiZqlyElhGilHoVxxQ9PdcUc1xY0U8kTNUuT8/f35DkE0KFfcuLu78x2CaFBNcSOFPFGzFDkpXPrGUShX3FRUVPAdgmhQTXEjhTw58x2A0DHGAADFxcU8R2IeY0ywsQkN5YobyhN3lCtuhJonQ0yGz/m6yBiXpRqxW7duITIyku8wCCGE2MnNmzfRtGnTOpehZmmBXq/HnTt34OPjI7gpm4qLixEZGYmbN2/C19eX73AEjXLFDeWJO8oVN0LOE2MMKpUK4eHhFmeuot2wFjg5OVn8xsE3X19fwRWhUFGuuKE8cUe54kaoeVIoFJyWowE+hBBCiAXULAkhhBALqFmKmJubG5KTk+Hm5sZ3KIJHueKG8sQd5YobqeSJBvgQQgghFtCWJSGEEGIBNUtCCCHEAmqWhBBCiAXULEXm3XffRc+ePeHp6Qk/Pz9Oj2GMYeHChQgPD4eHhwf69euH8+fP2zdQnhUWFiIxMREKhQIKhQKJiYkoKiqq8zGTJ0+GTCYz+enevbtjAnagL774AjExMXB3d0d8fDx+++23Opc/dOgQ4uPj4e7ujgceeAArVqxwUKT8qk+eDh48WKN2ZDIZLl265MCI+XH48GGMGjUK4eHhkMlk2LZtm8XHiLGmqFmKjEajwbhx4/D8889zfszSpUuxbNkyfPbZZ0hLS0NoaCgGDx4MlUplx0j5NWHCBJw+fRp79uzBnj17cPr0aSQmJlp83LBhw5CdnW382b17twOidZyNGzdizpw5eOONN5Ceno4+ffpg+PDhyMrKMrt8RkYGRowYgT59+iA9PR2vv/46Zs+ejc2bNzs4cseqb54MLl++bFI/Dz74oIMi5k9paSk6dOiAzz77jNPyoq0pRkRp9erVTKFQWFxOr9ez0NBQtnjxYuNtFRUVTKFQsBUrVtgxQv5cuHCBAWAnTpww3nb8+HEGgF26dKnWxyUlJbFHH33UARHyp1u3bmzGjBkmt7Vs2ZItWLDA7PKvvvoqa9mypclt06dPZ927d7dbjEJQ3zwdOHCAAWCFhYUOiE64ALCtW7fWuYxYa4q2LCUuIyMDOTk5GDJkiPE2Nzc39O3bF8eOHeMxMvs5fvw4FAoFHnroIeNt3bt3h0KhsPieDx48iODgYMTGxmLatGm4d++evcN1GI1Gg1OnTpnUAgAMGTKk1rwcP368xvJDhw7FyZMnodVq7RYrn6zJk0GnTp0QFhaGgQMH4sCBA/YMU7TEWlPULCUuJycHABASEmJye0hIiPE+qcnJyUFwcHCN24ODg+t8z8OHD8eGDRuwf/9+fPjhh0hLS8OAAQOgVqvtGa7D5OXlobKysl61kJOTY3Z5nU6HvLw8u8XKJ2vyFBYWhq+//hqbN2/Gli1bEBcXh4EDB+Lw4cOOCFlUxFpTNJG6ACxcuBCLFi2qc5m0tDR06dLF6te4/4opjDHBXUXFEq55Amq+X8Dyex4/frzx/23btkWXLl0QFRWFXbt2YcyYMVZGLTz1rQVzy5u7XWrqk6e4uDjExcUZf+/Rowdu3ryJDz74AA8//LBd4xQjMdYUNUsBmDVrFp588sk6l4mOjrbquUNDQwFUfZsLCwsz3n7v3r0a3+6Ejmuezpw5g7t379a4Lzc3t17vOSwsDFFRUbh69Wq9YxWiwMBAyOXyGltHddVCaGio2eWdnZ0REBBgt1j5ZE2ezOnevTu+/fZbW4cnemKtKWqWAhAYGIjAwEC7PHdMTAxCQ0ORmpqKTp06Aag6JnPo0CEsWbLELq9pL1zz1KNHDyiVSvzxxx/o1q0bAOD333+HUqlEz549Ob9efn4+bt68afIlQ8xcXV0RHx+P1NRUjB492nh7amoqHn30UbOP6dGjB3bs2GFy2969e9GlSxe4uLjYNV6+WJMnc9LT0yVTO7Yk2pric3QRqb8bN26w9PR0tmjRIubt7c3S09NZeno6U6lUxmXi4uLYli1bjL8vXryYKRQKtmXLFnb27Fn21FNPsbCwMFZcXMzHW3CIYcOGsfbt27Pjx4+z48ePs3bt2rGEhASTZarnSaVSsZdeeokdO3aMZWRksAMHDrAePXqwiIgISeXphx9+YC4uLiwlJYVduHCBzZkzh3l5ebHMzEzGGGMLFixgiYmJxuWvX7/OPD092dy5c9mFCxdYSkoKc3FxYT/99BNfb8Eh6pun5cuXs61bt7IrV66wc+fOsQULFjAAbPPmzXy9BYdRqVTGzyEAbNmyZSw9PZ3duHGDMSadmqJmKTJJSUkMQI2fAwcOGJcBwFavXm38Xa/Xs+TkZBYaGsrc3NzYww8/zM6ePev44B0oPz+fTZw4kfn4+DAfHx82ceLEGsP6q+eprKyMDRkyhAUFBTEXFxfWrFkzlpSUxLKyshwfvJ19/vnnLCoqirm6urLOnTuzQ4cOGe9LSkpiffv2NVn+4MGDrFOnTszV1ZVFR0ezL7/80sER86M+eVqyZAlr3rw5c3d3Z02aNGG9e/dmu3bt4iFqxzOcNnP/T1JSEmNMOjVFVx0hhBBCLKBTRwghhBALqFkSQgghFlCzJIQQQiygZkkIIYRYQM2SEEIIsYCaJSGEEGIBNUtCCCHEAmqWhBBCiAXULAkhDbJw4UJ07NiR7zAIsStqloRI2OTJkyGTySCTyeDs7IxmzZrh+eefR2FhId+hESIq1CwJkbhhw4YhOzsbmZmZWLlyJXbs2IEXXniB77AIERVqloRInJubG0JDQ9G0aVMMGTIE48ePx969e433r169Gq1atYK7uztatmyJL774wuTx8+fPR2xsLDw9PfHAAw/gzTffhFardfTbIIRXdD1LQhqR69evY8+ePcbrBn7zzTdITk7GZ599hk6dOiE9PR3Tpk2Dl5cXkpKSAAA+Pj5Ys2YNwsPDcfbsWUybNg0+Pj549dVX+XwrhDgUNUtCJG7nzp3w9vZGZWUlKioqAADLli0DAPznP//Bhx9+iDFjxgCoulj4hQsX8NVXXxmb5b///W/jc0VHR+Oll17Cxo0bqVmSRoWaJSES179/f3z55ZcoKyvDypUrceXKFbz44ovIzc3FzZs3MXXqVEybNs24vE6ng0KhMP7+008/4aOPPsK1a9dQUlICnU4HX19fPt4KIbyhY5aESJyXlxdatGiB9u3b45NPPoFarcaiRYug1+sBVO2KPX36tPHn3LlzOHHiBADgxIkTePLJJzF8+HDs3LkT6enpeOONN6DRaPh8S4Q4HG1ZEtLIJCcnY/jw4Xj++ecRERGB69evY+LEiWaXPXr0KKKiovDGG28Yb7tx44ajQiVEMKhZEtLI9OvXD23atMF///tfLFy4ELNnz4avry+GDx8OtVqNkydPorCwEPPmzUOLFi2QlZWFH374AV27dsWuXbuwdetWvt8CIQ5Hu2EJaYTmzZuHb775BkOHDsXKlSuxZs0atGvXDn379sWaNWsQExMDAHj00Ucxd+5czJo1Cx07dsSxY8fw5ptv8hw9IY4nY4wxvoMghBBChIy2LAkhhBALqFkSQgghFlCzJIQQQiygZkkIIYRYQM2SEEIIsYCaJSGEEGIBNUtCCCHEAmqWhBBCiAXULAkhhBALqFkSQgghFlCzJIQQQiygZkkIIYRY8P8ynelK77LerwAAAABJRU5ErkJggg==" }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "=== Best BIC model ===\n", "Parameter estimates — ARMA model\n", "--------------------------------\n", " Param Value ±2σ 95% CI\n", " ----------------------------------------\n", " d1 -0.8131 0.0780 ( -0.8911, -0.7351)\n", "\n", " Residual std σ = 0.136201\n", " Residual var σ² = 0.018551\n" ] }, { "data": { "text/plain": [ "
" ], "image/png": 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" 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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 12 }, { "metadata": {}, "cell_type": "markdown", "source": "Note that the optimal AIC model added additional c and d parameters. The chi-square test was passed, but we can see that the additional parameters produced approximate pole / zero cancellations. The optimal BIC model is the same one that we developed from the initial analysis of the GPAC.", "id": "ac6b7bb393bd52ce" } ] }