{ "cells": [ { "cell_type": "markdown", "id": "sa01", "metadata": {}, "source": [ "# Seasonal ARIMA Model — System Identification Walkthrough\n", "\n", "This notebook demonstrates the four-step system identification process for a **non-stationary, seasonal** univariate time series using the **seasonal ARIMA** model class.\n", "\n", "| Step | Task | Tool |\n", "|------|------|------|\n", "| 1 | Choose a model class | Log transform; ACF/differencing to achieve stationarity |\n", "| 2 | Select model order | `uniAnal` on $\\nabla_{12}\\nabla\\log y$ — 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 G — Monthly Airline Passengers (144 observations, Jan 1949 – Dec 1960)" ] }, { "cell_type": "markdown", "id": "sa02", "metadata": {}, "source": "## Seasonal ARIMA Model Structure\n\nThe multiplicative seasonal ARIMA$(n_d, d, n_c)\\times(n_{d,s}, d_s, n_{c,s})_s$ model is\n\n$$D(q)\\,D_s(q^{-s})\\,\\nabla^d\\nabla_s^{d_s}\\,y(t) = C(q)\\,C_s(q^{-s})\\,e(t)$$\n\nwhere\n- $\\nabla = 1 - q^{-1}$ is the regular backward-difference operator, applied $d$ times\n- $\\nabla_s = 1 - q^{-s}$ is the seasonal difference operator at period $s$, applied $d_s$ times\n- $D(q) = 1 + d_1 q^{-1} + \\cdots + d_{n_d} q^{-n_d}$ — regular AR polynomial\n- $C(q) = 1 + c_1 q^{-1} + \\cdots + c_{n_c} q^{-n_c}$ — regular MA polynomial\n- $D_s(q^{-s}) = 1 + d_{s,1} q^{-s} + \\cdots + d_{s,n_{d,s}} q^{-n_{d,s} s}$ — seasonal AR polynomial\n- $C_s(q^{-s}) = 1 + c_{s,1} q^{-s} + \\cdots + c_{s,n_{c,s}} q^{-n_{c,s} s}$ — seasonal MA polynomial\n\nIn PredictMod notation the model is specified as `pmodel('arma', nc=[nc, nc_s], nd=[nd, nd_s], diff=[d, d_s], per=[s])`.\nThe classical **airline model** (Box & Jenkins, 1976) is ARIMA$(0,1,1)\\times(0,1,1)_{12}$:\n\n$$\\nabla_{12}\\nabla\\log y(t) = (1 + c_1 q^{-1})(1 + c_{s,1} q^{-12})\\,e(t)$$\n\nwhich corresponds to `pmodel('arma', nc=[1, 1], nd=[0, 0], diff=[1, 1], per=[12])`." }, { "cell_type": "code", "id": "sa03", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T23:49:51.099104Z", "start_time": "2026-06-09T23:49:50.760760Z" } }, "source": [ "import numpy as np\n", "import matplotlib.pyplot as plt\n", "import sys\n", "import os\n", "import pandas as pd\n", "\n", "# Add TimeSeries root directory to path\n", "current_dir = os.getcwd()\n", "timeseries_root = os.path.abspath(os.path.join(current_dir, '..', '..', '..'))\n", "if timeseries_root not in sys.path:\n", " sys.path.insert(0, timeseries_root)\n", "\n", "from TimeSeriesSRC.Model.model import pmodel\n", "from TimeSeriesSRC.Model.estimate import estimate\n", "from TimeSeriesSRC.Model.selpmod import func_selpmod as selpmod\n", "from TimeSeriesSRC.basefunctions.uniAnal import func_uniAnal as uniAnal\n", "from TimeSeriesSRC.basefunctions.uniChi import func_uniChi as uniChi\n", "from TimeSeriesSRC.basefunctions.partoacf import func_partoacf_pmod as partoacf_pmod\n", "from TimeSeriesSRC.basefunctions.sdiff import func_sdiff as sdiff\n", "from TimeSeriesSRC.Model.pmodmse import func_pmodmse as pmodmse\n", "from TimeSeriesSRC.Model.pmoddisp import func_pmoddisp as pmoddisp\n", "from TimeSeriesSRC.Model.pmoddisp import func_pmodpzplot as pmodpzplot\n", "\n", "np.random.seed(42)\n", "print('Setup complete.')" ], "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Setup complete.\n" ] } ], "execution_count": 1 }, { "cell_type": "code", "id": "sa04", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T23:49:52.872891Z", "start_time": "2026-06-09T23:49:52.784666Z" } }, "source": [ "data_path = os.path.join(timeseries_root, 'TimeSeriesSRC', 'TestData',\n", " 'Series_G_Airline_Passengers.csv')\n", "df = pd.read_csv(data_path)\n", "y = np.array(df['Passengers'], dtype=float)\n", "N = y.size\n", "print(f'Loaded airline passenger data: N={N} monthly observations')\n", "print(f'y: min={y.min():.0f}, max={y.max():.0f} (thousands of passengers)')\n", "\n", "fig, ax = plt.subplots(figsize=(12, 4))\n", "ax.plot(y)\n", "ax.set_title('Box-Jenkins Series G — Monthly Airline Passengers (thousands)')\n", "ax.set_xlabel('Month (Jan 1949 = 0)')\n", "ax.set_ylabel('Passengers (thousands)')\n", "plt.tight_layout()\n", "plt.show()" ], "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Loaded airline passenger data: N=144 monthly observations\n", "y: min=104, max=622 (thousands of passengers)\n" ] }, { "data": { "text/plain": [ "
" ], "image/png": "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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 2 }, { "cell_type": "markdown", "id": "sa05", "metadata": {}, "source": "## Step 1 — Choose a Model Class\n\nThe raw series shows two key features:\n\n1. **Upward trend** — the mean is growing over time (non-stationary in the mean).\n2. **Multiplicative seasonality** — the seasonal swings (January lows, summer peaks) grow proportionally with the level. This rules out additive seasonal decomposition.\n\n### Log Transform\n\nTaking $\\log y(t)$ converts the multiplicative seasonal pattern to an additive one and stabilises the variance. After the log transform the seasonal amplitude becomes approximately constant across time. We therefore work with $\\log y$ throughout — the log transform is applied manually here before passing data to `estimate`.\n\n### Double Differencing\n\nEven after the log transform, $\\log y$ is still non-stationary:\n- A **regular first difference** ($d=1$) removes the linear trend: $\\nabla\\log y(t) = \\log y(t) - \\log y(t-1)$.\n- A **seasonal difference** ($d_s=1$, $s=12$) removes the remaining seasonal non-stationarity: $\\nabla_{12}\\log y(t) = \\log y(t) - \\log y(t-12)$.\n\nApplying both gives the doubly-differenced log series $w(t) = \\nabla_{12}\\nabla\\log y(t)$, which should be stationary." }, { "cell_type": "code", "id": "sa06", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:49:45.437502Z", "start_time": "2026-06-09T18:49:45.338303Z" } }, "source": [ "ly = np.log(y)\n", "\n", "fig, axes = plt.subplots(2, 1, figsize=(12, 7))\n", "axes[0].plot(y)\n", "axes[0].set_title('Raw series y(t) — passengers show multiplicative seasonality')\n", "axes[0].set_xlabel('Month')\n", "axes[0].set_ylabel('Passengers (thousands)')\n", "\n", "axes[1].plot(ly)\n", "axes[1].set_title('Log-transformed series log y(t) — additive seasonality, still has trend')\n", "axes[1].set_xlabel('Month')\n", "axes[1].set_ylabel('log(Passengers)')\n", "plt.tight_layout()\n", "plt.show()\n", "\n", "print(f'log y: mean={ly.mean():.3f}, std={ly.std():.3f}')" ], "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": "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" }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "log y: mean=5.542, std=0.440\n" ] } ], "execution_count": 3 }, { "cell_type": "code", "id": "sa07", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:49:48.390621Z", "start_time": "2026-06-09T18:49:48.250658Z" } }, "source": [ "# uniAnal on log y — slowly-decaying ACF confirms non-stationarity\n", "acf_ly, pacf_ly, gpac_ly = uniAnal(ly, na=36, nump=10, nrg=6, ncg=6)" ], "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": "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" }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "
" ], "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnYAAAHWCAYAAAD6oMSKAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8hTgPZAAAACXBIWXMAAA9hAAAPYQGoP6dpAABDYklEQVR4nO3deXQUVd7/8U+nE5pAAiEmYVEGF2RTkJ0REASUQFhEiKK/EZUzRh2MC2CCoDOOigqj4IOCikEdB5kHDIoLgyKKij6inoiKooCDgkAGQsyCMZClU78/MD0EAnQnVV3dlffrnJxjb1XfvjbVn751616XYRiGAAAAEPYi7C4AAAAA5iDYAQAAOATBDgAAwCEIdgAAAA5BsAMAAHAIgh0AAIBDEOwAAAAcgmAHAADgEAQ7AAAAh4i0uwAADdeOHTv0z3/+Ux999JH27dunyMhItW/fXmPHjtWVV16pqKgo33OHDh2qvXv31nh9o0aN1KpVK40YMULp6enyeDy+xwzD0LBhw7R371699NJLuuCCC05Yx8aNG7Vs2TJ99dVXOnjwoFq1aqUhQ4bohhtuUEJCwinfRyD7AgArEewA2GLNmjWaOXOmzj77bE2ePFlnnXWWDh8+rA8++EAPP/ywNmzYoKeffloul8v3msGDB2vKlCm+22VlZfr000/15JNPau/evZo/f77vsY0bN2rfvn0655xztHz58hOGrXnz5ikrK0sjRozQ3Xffrbi4OG3fvl1ZWVl6++23tXTpUp1++uknfS/+7gsArOZirVgAwbZjxw6NHz9e/fv31xNPPKHIyJq/MdeuXavbbrtN8+bN0+jRoyUd6bHr27ev5syZc9z2Zs2apVdeeUUbNmxQUlKSJGn69On6z3/+o6FDh+qJJ57Qhx9+qGbNmtV43Zo1azR16lTNnDlT119/fY3HfvrpJ40bN059+/bV008/fdL348++ACAYGGMHIOiWLFmiiIgIzZ49+7hQJ0nJyckaN26cIiL8O0Sdf/75MgxD//nPfyRJBw8e1Lp163TxxRdrzJgxKi8v16pVq4573eLFi9W+fXtdd911xz32u9/9TpmZmerVq5eqqqpOuG9/99WxY0ctXLhQEyZMUK9evfTkk0/qlVdeUZcuXZSdna2BAwdq0KBB+v777+X1evXMM89o9OjR6tatm7p3766rrrpKGzdulCR9//336tixo1asWFFjH/v371fnzp1r3T+AhoFgByDo3n33Xf3+97/XaaeddsLnzJ07VykpKX5t78cff5QktW3bVpL0xhtvqKKiQpdddplatmyp/v37HxeCDhw4oK1bt+riiy+ucbr3aFdddZXS0tJOGjD92Ve1p556SsnJyZo/f76GDRsmSfJ6vXr66ac1e/Zs3XHHHWrfvr0effRRLVq0SBMnTtSSJUt0//33q7CwULfffrtKS0t17rnn6oILLtBrr71WY/uvvfaaGjdurOTkZL/aDYDzEOwABFVxcbGKi4t15plnHvdYZWVljT+v11vjccMwajy+f/9+ZWdna/ny5Ro5cqTi4+MlSS+//LIGDBigli1bSpImTJigHTt26LPPPvNta9++fZKkM844o17vx599VevWrZtuvPFGDR48WB07dvTdf/PNN+viiy/W+PHj5XK5lJeXp6lTp2rSpEnq27evxo4dq+nTp6u4uFjbtm3z7efzzz/X7t27fdt59dVXNXLkSDVp0qRe7wlA+OLiCQBBdaLTmrt27dLw4cNr3Hf66adr/fr1vtuvvvqqXn311RrPiYyM1KWXXqq//vWvkqRt27Zpy5Ytmj17tg4ePChJ6tevn2JjY7V8+XL17dtXkny9cCc7zXoq/u6rWocOHWrdzrH3z5s3T5JUUFCgXbt26ccff/S1Q0VFhSRp1KhRevjhh/Xaa68pPT1dmzdv1o4dO3T//ffX+f0ACH8EOwBB1aJFCzVp0uS4qUtat26tlStX+m4vWrRI27dvr/GcIUOG6JZbbpEkuVwuRUdH6/TTT1fjxo19z6nexj333KN77rmnxuvffvttFRQUKD4+Xq1bt5bL5TqujqMdPHhQbrdbTZs2rfVxf/dV7URTpxx7Svrrr7/Wfffdp6+//lqNGzdW+/btfVfmVl/vFhMToxEjRuj1119Xenq6Vq1apXbt2ql3794nfD8AnI9gByDohg0bpvXr16ukpEQxMTGSjsxJ17VrV99z4uLijntdXFxcjeccq7y8XG+88YaGDRt23AUR//nPfzRjxgytXLlSN954o+Lj43Xeeefpww8/VEZGRq3j7J566iktXbpU69atU+vWreu8r0CUlJTohhtuUMeOHbV69Wqdc845ioiI0AcffKC1a9fWeO6ECRO0atUqbd68WWvXrtWkSZMC2hcA52GMHYCgu+mmm+T1ejVr1iyVl5cf9/jhw4drjB3z1/r161VYWKirr75a/fr1q/E3btw4tW/fXi+99JKv1+uPf/yjtm/frqVLlx63rR9++EHZ2dnq27fvcaGuLvvy1w8//KCioiJde+21Ovfcc32njDds2CCp5qnjPn366Mwzz9QjjzyiwsJCjRs3LqB9AXAeeuwABN25556refPmacaMGRo3bpyuvPJKdezYUZWVlfriiy+0cuVK5efn64Ybbghouy+//LLi4+N14YUX1vr4uHHj9Oijj+qjjz7SRRddpJSUFH388cd68MEH9dVXX2nEiBFq2rSpvv76az333HNq1qyZHn74YVP25a+zzjpLMTExevrppxUZGanIyEitXbvWd9r30KFDNZ4/YcIEzZs3TwMGDKg1gAJoWOixA2CLSy65RK+//rqGDh2qlStXasqUKbr11lu1bt06paSkaM2aNZo2bZrf29u/f7/+7//+TyNHjqx1bjxJGjt2rCIiIrR8+XLffbNnz9ajjz6qvLw83Xvvvbr55pv16quvasKECVq5cqXvalcz9uWP2NhYPfnkkzIMQ7fffrsyMzOVm5urF198UU2bNlVOTk6N51988cWSpPHjxwe0HwDOxMoTABDGsrKytGTJEn344Ydq1KiR3eUAsBmnYgEgDK1atUrbt2/XP//5T914442EOgCSCHYAEJa2bt2q5cuX65JLLlFaWprd5QAIEZyKBQAAcAgungAAAHAIgh0AAIBDEOwAAAAcgmAHAADgECF/VeyBA7/YXUJIiopyq6LCa3cZjkX7Wov2tRbtay3a11q0b+0SE2P9eh49dmEqIuL4BcthHtrXWrSvtWhfa9G+1qJ964dgBwAA4BAEOwAAAIcg2AEAADgEwQ4AAMAhCHYAAAAOQbADAABwCIIdAACAQxDsAAAAHIJgBwAA4BAEOwAAAIcg2AEAADgEwQ4AAMAhCHYAAAAOQbADAABwCIIdAACAQ0TaXUCoSEyMtbsEAAAQZioqKlVUdMjuMnzosQMAAKijqKjQ6iMLrWpCQH5+iQzDsLuMU/J4IlVWVml3GY5F+1qL9rUW7Wst2tda4dK+LpdLCQkxdpdxHHrsjhEOoQ4AANgrVPMCwQ4AAMAhCHYAAAAOQbADAABwCIIdAACAQxDsAAAAHIJgBwAA4BAEOwAAAIcg2AEAADgEwQ4AAMAhCHYAAAAOQbADAABwCIIdAACAQ0TaXUBD43K5TNqOedsK1YWMAQBAYAh2QeLxRComprEiIswJY5IUG1u/12dnZystLU2StGDBIqWkjDWhKgAAYBdOxQaJ2aGuvrxer9LT01VcXKzi4mJlZk6T1+u1uywAAFAPBLsgcLlcIRXqJKmgoEB5eXm+23l5eSosLLSxIgAAUF8EOwAAAIdgjJ1NOi/qrPzSfNv2X1VSZdu+AQCANQh2Nskvzbc12OmQfbsGAADW4FQsAACAQxDsAAAAHIJgBwAA4BAEOwAAAIewJdj9/PPPmjJlinr37q1+/frpwQcfVGVlpR2lAAiSyspK5efn//Z3QPn5+UyKDQAmsyXY3XHHHWrSpIk+/PBDrVy5Uhs3btTf//53O0oBEATZ2cvVqdNZ6tLlbHXpcrZmzJiu1q1bKDrapc2bN9ldHgA4RtCD3a5du/TZZ58pIyND0dHRatu2raZMmaJly5YFuxQAQVBZWamZMzNUUvKLEhIS1LJlS61YsUJxcXFq3ry5unbtbHeJAOAYQQ9233//veLi4tSyZUvffeecc45yc3N18ODBYJcDwGJFRUUaPvxS5ebm6sCBA9q3b58iIv576ElKSpLLFVpL7gFAuAr6BMW//vqroqOja9xXfbu0tFTNmjWr8VhUlDuo66x6POY3Sbh8Z3k8bkvefziKjHTbXYJjeDxuZWVlKS4u7qTPMYzg1eR0fH6tRftaKxzbN5S+O4NeSZMmTXToUM1lD6pvN23a9LjnV1QEd3B1WZn5F3G4XC7Fxpq+WdOVlXktef/hirYwR5MmzU7aI1dV6dXhw7S12fj8Wov2tVa4tW8o1Rv0U7HnnnuuioqKlJ//3+W0duzYoVatWik2HNIPgIC43W7l5HypvLy84x6rqvSqpLTchqoAwJmCHuzOPPNM9erVSw899JBKSkq0e/duPfnkk0pNTQ12KQCCpFu3nnK5opWfX6L8/BL98ssh5eeX6OfC0pD6pQsA4c6W6U4ef/xxVVZWatiwYbryyit10UUXacqUKXaUAiCIDMP47e/IfwMAzGXLaL+EhAQ9/vjjduwaAADAsVhSDAAAwCEIdgAAAA5BsAMAAHAIgh0AAIBDhM5UyQ2A1+tVQUGBJKmqpEo6dIoXWKnUxn0DAABLEOyCJDs7W+np6bVO0goAAGAGgl2QpKWlqbi42O4yAACAgzHGLgjCYSLWmNjYky7SDgAAQh/BLkgWLFikpKQku8uoVUxsrObOmafISDpwAQAIZ3yTB0lKylglJ49SYWGhKdvzeNwqK/Oasq24uDhCHQAADsC3eRC53W4lJCSYsi2PJ5LF0wEAQA2cigUAAHAIgh0AAIBDEOwAAAAcgmAHAADgEAQ7AAAAhyDYAQAAOATBDgAAwCEIdgAAAA5BsAMAAHAIgh0AAIBDEOwAAAAcgmAHAADgEJF2F4CGpbKyUkVFRXaXcUoej1tlZV67yzilFi1ayO12210GACBEEOwQNNnZyzVzZoYOHiy2u5Swl5qaqqysLLlcLuXkbFK3bj3tLgkAEAJchmEYdhdxMgcO/BKU/SQmxgZ1f/Xl8USqrKzS7jL8VllZqU6dziLUmSAiIkK5ublq2bKlJCkvL08uV7TNVQUm3D6/4Yb2tRbta61wat9gZofqfZ0KY+wQFEVFRYQ6k8THx/tCnSQlJSXJ5XLZWBEAIFQQ7AAAAByCMXawzbeSEuwuIgzRNwcAOBGCHWyTICnR7iIAAHAQTsUCAAA4BMEOAADAIQh2AAAADkGwAwAAcAiCHQAAgEMQ7AAAAByCYAcAAOAQBDsAAACHINgBAAA4BCtPBJlZi7W7XOZtyzAMU7YDAADsRbALEo8nUjExjRURYd5Kn7Gx9Xt9dna20tLSJEkLFixSSspYE6oCAAB24VRskJgd6urL6/UqPT1dxcXFKi4uVmbmNHm9XrvLAgAA9UCwCwKXyxVSoU6SCgoKlJeX57udl5enwsJCGysCAAD1RbADAABwCMbY2aTzos7KL823bf9VJVW27RsAAFiDYGeT/NJ8W4OdDtm3awAAYA1OxQIAADgEwQ4AAMAhCHYAAAAOQbADAABwCFuDXUFBgS699FJ9+umndpYBIAgqKyuVn5//298B5efnMyk2AJjMtmD3+eefa+LEifrpp5/sKgFAkGRnL1enTmepS5ez1aXL2ZoxY7pat26h6GiXNm/eZHd5AOAYtgS7VatW6c4779TUqVPt2D2AIKqsrNTMmRkqKflFCQkJatmypVasWKG4uDg1b95cXbt2trtEAHAMW4LdwIEDtW7dOqWkpNixewBBVFRUpOHDL1Vubq4OHDigffv2KSLiv4eepKQkuVyhteQeAIQrWyYoTkxM9Pu5UVHuoK6z6vGY3yTh8p3l8bgtef/V24Z1PB63DMPuKmrn8biVlZWluLi4kz4nVOsPR5GR/HuzEu1rrXBsX6u+O+sidCo5gYqK4A6uLiurNH2bLpdLsbGmb9Z0ZWVeS95/9bZhnbIyr4wQTUZNmjQ7aY9cVaVXhw9b87lryKz6t4wjaF9rhVv7hlK9THcCwFJut1s5OV8qLy/vuMeqKr0qKS23oSoAcKaQ77EDEP66despScrPL5F05NRrKPcyAkC4ItgBCJrqIGcYItQBgAVsD3bbtm2zuwQAAABHYIwdAACAQxDsAAAAHIJgBwAA4BAEOwAAAIew/eKJhsTr9aqgoECSVFVSJR2ysZhSG/cNAAAsQbALkuzsbKWnp9c6SSsAAIAZCHZBkpaWpuLiYrvLAAAADsYYuyAIh4lYY2JjT7pIOwAACH0EuyBZsGCRkpKS7C6jVjGxsZo7Z54iI+nABQAgnPFNHiQpKWOVnDxKhYWFpmyveq1NM8TFxRHqAABwAL7Ng8jtdishIcGUbXk8kSorqzRlWwAAwBk4FQsAAOAQBDsAAACHINgBAAA4BMEOAADAIQh2AAAADkGwAwAAcAiCHQAAgEMQ7AAAAByCYAcAAOAQrDyBoIqIiFB8fLwkyWVzLWHLpNVLAADOQ7BD0KSmpmrhwoVq2bKl3aUAAOBIBDsETVZWluLi4uwuAwAAx2KMHYKiRYsWcrk4+WqFqkqvDMOwuwwAQAgg2CEo3G63cnK+VF5ent2lOEpVpVclpeV2lwEACBGcikXQdOvWU5KUn19icyWn5vG4VVbmtbuMU6KnDgBwNIIdgi4cwohhhEedAAAcjVOxAAAADkGwAwAAcAiCHQAAgEMQ7AAAABwioGBXWlpqVR0AAACop4CC3ejRo1VSEvpTVQAAADREAZ+KPXTokBV1AAAAoJ4CmseuX79+uuKKKzRo0CAlJSXVeCw9Pd3UwgAAABCYgILdnj171LZtW/3444/68ccfffezBigAAID9Agp2S5cutaoOAAAA1FPAY+x27Nih2bNnKz09XYWFhXrxxRetqAsAAAABCijY/d///Z+uuOIKFRYW6uOPP9bhw4e1aNEiPfPMM1bV5zgul8ukP/O2BQAAnCGgU7Hz58/XY489psGDB6tPnz5q3bq1nnnmGd1xxx268cYbrarRETyeSMXENFZEhHlBKja2fq/Pzs5WWlqaJGnBgkVKSRlrQlUAAMAuAfXY7dq1S4MGDZL03wsmunbtquLiYvMrcxizQ119eb1epaenq7i4WMXFxcrMnCav12t3WQAAoB4CCnZt2rTRpk2batz39ddfq3Xr1qYW5TQulyukQp0kFRQUKC8vz3c7Ly9PhYWFNlYEAADqK6BTsTfddJP+9Kc/6eqrr1ZFRYWysrK0dOlSTZs2zar6AAAA4KeAgt2oUaMUExOjZcuWqU2bNvrkk0909913Kzk52ar6HKvzos7KL823bf9VJVW27RsAAFgjoGAnSYMHD9bgwYOtqKVByS/NtzXYqQGuDFdZWamioiK/nuvxuFVWduoxhy1atJDb7a5nZQAAmMOvYDdz5sxTPufhhx+udzGAVbKzl2vmzAwdPGjOhT6pqanKysqSy+VSTs4mdevW05Tthjt/w7M/wZnQDACBC6jHrrCwUB9++KGGDBmitm3bav/+/Vq3bp2GDx9uVX1AvVVWVpoa6iIiIrRw4ULFxcVJkrp27WzKdsOdWeGZ0AwAdedXsKvujbv55pv1+OOPa9iwYb7HPvroIz399NPWVAeYoKioyLRQJ0nx8fFq2bKl73ZSUpLy80tkGIZp+wg3ZoVnQjMA1E9A0518+umnGjJkSI37LrzwQm3ZssXUogCEF7PCc22hmdVRYCd/V/4BQkVAp2JPP/10vfnmmxo1apTvvldeeUXt2rUzvTDASt9KSqjjazmEIxQdHS6qg4ekBt2TXB+nWi2oeuUfVvBBqAko2E2dOlW33367li1bptatW2vPnj3avn17wKdit27dqrlz52rLli2KiorSgAEDdNdddyk+Pj6g7QB1lSAp0e4iHK4u4ZnQHLgTBZC33iJw1Ic/qwUdvYKPJGVmTlNy8igu+oGtAjoVO2zYML3xxhvq37+/mjZtqsGDB+v1119Xv379/N7G4cOHdcMNN6hHjx766KOPtHr1ahUVFWnWrFkBFw8gdFWH50D+6tqL2pDVFkBYMrB+/F0tiBV8zOX1elVYWMBntZ4C6rEbP368/vGPfyg9Pb3OO8zNzVWnTp10yy23yO12q1GjRpo4caIyMzPrvE0AaIhOFEBOFDgSEojOCE2bN29S165d1KFDOx04cECbN3/LFfF1FFCwO/pAUVdnn322lixZUuO+tWvX6rzzzqv3tgGgIfJ6vSooKPDdzs+3cfJzh6pttSBW8DFPr17dFRfXXJKUmJioXr26q6LC5qLCVEDBbtiwYbr22muVnJx83NVq48aNC3jnhmHof/7nf/Tee+/pxRdfrPU5UVFuv7rEzeLxBLwYxymFywVTHo/bkvdvN4/H+vEuHo9bDXmMupVt3NDb9mRcriOD99PT00/5w9up/76tUH3MPjow5+XlqeBQQc0nlh7/Wtq5bgyjvMZtl8ua72OrhFKtAVXy4YcfSpJWrFhR436XyxVwsCspKdHMmTO1ZcsWvfjii+rYsWOtz6uoCO659rKyStO36XK5fFdQhbKyMq8l799u/iwNZsY+GvLVh1a2cUNv25NxuVxKS0vzDd4/Gaf++7aCy+XSW2/5F5iPRTvXzebNX6pr1y5KSkrUgbw8bf76u7A6FRtK/88DCnbr1683Zac//fST0tLS1KZNG61cuZKrYQGgDvwNvDGxsb5Jn+EffwMzzNGtW095vV5t375LiYmnhVWoCzUBBbsdO3Zo7dq1ysvLU1JSkoYPH6727dsHtMPi4mJdd911+v3vf68HH3xQEREBXZgLIIRFRET4fqjVaQQCg/sDtmDBImVmTjthz1JMbKzmzpmnyMjQOVUU6uraQ0yArh+3260WLeLldrtVWRk6PWDhxu9/6U899ZQef/xxtWrVSklJSVq3bp2eeOIJTZkyRbfeeqvfO3zllVeUm5urN998U2+99VaNx7744gv/KwcCVO/QUY3wUavU1FQtXLiwxsoRsF5KylglJ4+qMc2Gx+P2nR6Pi4sj1NXBqQLzsQjQCBV+fQLff/99/f3vf1dWVpYGDhzou3/9+vWaOXOmzj///OOWGjuRyZMna/LkyXWrFqgjQof1srKy6K2widvtrjGViccTGVJjfsJRbYG52tHBuRoBGqHCr0/h0qVLNXPmzBqhTpKGDh2qGTNmaOnSpX4HO8AOhA5rtWjRwpL1MqsquXAC9jk2MFcjOCOU+TXA7dtvv1VKSkqtjw0fPlxbtmwxtSjATFaFjmqEjyNfgDk5X5oy12W1qkqvSkrLT/1EAICPXz12hw8fPuEXY6NGjVj+AyHtSOjYpK5dOyspKcnUbRM+/qv6Krb8/JJTPre2U1nHauhhGQDqwq9gd8YZZ+iLL75Q3759j3vsyy+/1BlnnGF6YYCZAgkdkn/BQyJ81MafNjEM2g4ArOBXsBszZoweeughvfjii4qJifHdn5+frwcffFCXX365ZQU6ydGzmFeVVEmHbCymlhnTGwJ/wwTBAwAQjvwKdpMnT9aHH36o4cOHa8iQIUpISFBubq42bNig888/X9dee63VdYY9f5f9AQAAqCuX4We3REVFhf75z3/qnXfe8U1QPGLECF111VVyu61bJ/LAgV8s2/bREhNjLdufy+VS+/ZnhPws5t9++0OtV4A1RFz1Zi3a11q0r7VoX2uFU/tamR1OtK9T8XvSnaioKF133XW67rrr6lxUQxUOp/SYMR0AgPDHel5BsmDBItOvyDQLM6YDAOAMfJMHyclmMa8Lf6/a9AczpgMA4Ax8mwfRiWYxr4twGoMAAACCI6BTsQ888IBKSvybBwwAAADBFVCwe+ONN9S4cWOragEAAEA9BHQqdsKECbr//vs1fvx4JSYm1lhmrE2bNqYXBwAAAP8FFOyef/55SdJLL70k6cj8bIZhyOVy6bvvvjO/OgAAAPgtoGD37rvvWlUHAAAA6imgYHf66afr119/1QcffKC9e/cqKSlJQ4YMUbNmzayqDwAAAH4KKNjt2rVL119/vSoqKtSmTRvl5uZq7ty5euGFF3TuuedaVSMAAAD8ENBVsQ8//LBGjBihDRs26KWXXtKGDRt02WWXac6cOVbVBwAAAD8FFOy++uorTZ06VRERR14WERGh22+/XV999ZUlxQEAAMB/AQU7t9t93ATFJSUlio6ONrUoAAAABC6gYDdkyBBNnz5dP/zwg8rLy7Vjxw5lZGRoyJAhVtUHAAAAPwUU7KZPn67KykqlpKToggsu0OjRo+XxeDR9+nSr6gMAAICfAroqNi4uTkuXLtXu3bv1888/6/TTT1diYiLrxwIAAISAgHrs+vbtK0lq27atunfvrsTEREnSxRdfbHphAAAACMwpe+x27dqlv/zlLzIMQyUlJbr22mtrPF5SUsIExQAAACHglMGuXbt2Gj58uAoLC7Vp0yZfr121Ro0aaejQoZYVCAAAAP/4NcbuD3/4gyTpjDPO0Lhx46ysBwAAAHUU0MUT48aN0yeffKL9+/fLMAxJUkVFhbZt26Z77rnHkgIBAADgn4CC3ezZs7V8+XI1bdpUkuT1evXrr7/qoosusqQ4AAAA+C+gYPfmm2/qxRdf1KFDh/T666/roYce0ty5c1VaWmpVfQAAAPBTQMHu0KFD6t69uw4cOKAtW7bI5XIpPT1dKSkpVtUHAAAAPwU0j12rVq30888/KzExUfv27VNFRYUaN27MBMUAAAAhIKAeu8GDB+v666/XCy+8oD59+mjWrFnyeDw688wzLSoPAAAA/gqox27atGm67LLLFBUVpb/85S8qKirSv//9b82ePduq+gAAAOCngHrs5syZo6lTpyomJkaxsbHKysqyqi4AAAAEKKAeuzfeeEPR0dFW1QIAAIB6CKjHbsKECbrvvvs0fvx4JSYmyuVy+R5r06aN6cUBAADAfwEFu+eff16S9NJLL0mSXC6XDMOQy+XSd999Z351DnR0GK7fdszbVvUqIuGusrJSRUVFpmzL43GrrMxryrZatGght9ttyrYAADiZgILdu+++a1UdjufxRComprEiIswJY5IUG1u/12dnZystLU2StGDBIqWkjDWhKntkZy/XzJkZOniw2O5SfFJTU5WVlSWXy6WcnE3q1q2n3SUBABzOZdShu+bbb7/Vnj17dPHFF+uXX37RaaedZkVtkqQDB36xbNtHS0yMtXR/p50WY2qoqy+v16s2bdooLy9PkpSUlKSvvtoWlj1LlZWV6tTprJAKdREREcrNzVXLli0lSXl5eXK5GJ9azeOJVFlZpd1lOBbtay3a11rh1L5WZ4fa9nUqAfXY/fzzz7rlllv0zTffKCoqSitXrlRqaqqee+459ejRo06FNgQulyukQp0kFRQU+EKddCR4FBYWKiEhwcaq6qaoqCikQp0kxcfH+0KddCQ45+eXOOa0N6xV32EF9RlKwNABILwFFOweeughdejQQc8//7wGDRqkc845RzfeeKP+9re/6X//93+tqhEAGgy7hhUwdABwhoCC3SeffKJ33nlH0dHRvoH7N9xwg5577jlLinOyzos6K78037b9V5VU2bbvYPhWkp19j6HVP4twUVlZaUuoi4iI0MKFCxUXFydJ6tq1c1D3D8A8AQW7qKgoHT58WNHR0b5TSr/++quaNm1qSXFOll+ab2uw0yH7dh0MCZIS7S4CCJBdwwoYOgA4R0ATFA8dOlQZGRnauXOnXC6Xfv75Z913330aPHiwVfUBCDMul8uPv1M/DwAQuIB67KZPn66ZM2dqxIgRkqSBAwdq8ODBuv/++y0pDkD4CHRKnxNN1+OkaXjMEIxhBcRowDkCCnZNmzbV448/roKCAu3Zs0etWrVSUlKSVbUBCCNmzNPo9XqVnp6u4uIjpyMzM6cpOXlUg75Kk2EFAAIRULCTpJycHO3du1eGYeiHH37w3T9u3Dgz6wIQRsya0sdJ0/AAgB0CCnb33nuvVq5cqaSkpBpjYFwuV0DBbuPGjZo/f7527Nih6OhojRgxQhkZGWrcuHEg5QAAYLlj5xU8ep5A5v2rvxO1L21bNwEFuzVr1mjFihU6//zz67zDgoIC3XTTTfrrX/+qcePGKT8/X3/84x/1zDPP6LbbbqvzdgGElrpM6eP0aXgQfk40ryDz/pmjtvalbesnoGAXGxurDh061GuH8fHx+vjjjxUTEyPDMFRUVKSysjLFx8fXa7sAQkudpvRx+DQ8CC8nmleQef/MUVv70rb1F9B0J3/605909913a+vWrcrNza3xF4iYmBhJ0uDBgzVmzBglJiZq/PjxAW0DAAArnWhewdrm/WOKnsDV1r60bf0F1GNXVlamNWvWaPXq1b77DMOQy+XSd999F/DO3377bRUXF+vOO+/UbbfdpiVLlgS8DQAArBQREVHjrBIX85jr6PalbesvoGD35JNP6p577tHAgQMVERFQZ1+tGjdurMaNGysjI0NXXHGFiouL1bx58xrPiYpym3K1nb88noAvFD6lcPmx4fG4LXn/VvN4wmNwrcfjllMn8rfyMx6un8u6CKXPspM/r/7yeNxKTU3VwoULa/Qinei5Db29AuVv+4ZD24bSMSqgSrxer66++up67XDTpk2aNWuWXn/9dTVq1EiSVF5erqioKEVHRx/3/IoKb732F6iyskrTt+lyuU44GWsoKSvzWvL+rVZ9dVqoKyvzOnaJJis/4+H6uayLUPosO/nz6q+yMq+ysrJ8471O9dyG3l6B8rd9w6FtQ+kYFVC32/jx4/WPf/yjXjvs2LGjDh8+rHnz5qm8vFx79+7V3LlzlZqa6gt6AADYrUWLFn6N76qqDP3gEYr8aV/aNnAB9dht3rxZzz//vBYsWKDmzZvX+B/y7rvv+rWNpk2basmSJXrooYc0YMAAxcbGasyYMbrlllsCqxxAyPF6vSooKJD029QlgV7lWmp+TUBdud1u5eRsUteunU+4ylJVpVclpeVBrswZTtW+tG3dBBTsUlNTlZqaWu+dtm/fXs8991y9twMgdGRnZys9Pb3GyhFAuKueQy0/v8R339ETFNObVD8na1/atm4CCnaXX365VXUACHNpaWm+NV4Bpzk6ZBgGgc5stK95Agp2kyZNOuH58PqOvQMQvqw6CMfExvo1cB0AcERAwa5fv341bhcWFuqtt97SxIkTTS0KQPhZsGCRMjOnmXYqNiY2VnPnzFNkZOhMIxAsR8/rFZTZkpg7DHCMgI6Y6enpx903fvx4/e1vfzOtIADhKSVlrJKTR6mwsPCUzz16jNKJxMXFNchQ5++8aQBQm3ofNc877zx98803ZtTiePW+YtBMXH0IC7jdbr9mjvd4IkNq3qdQ4u+8aQBQm4CC3bFrwlZUVOhf//qXWrdubWpRTsQVg9YL+umrk+HUFurA33nTrMbcYUD4CijYDR06tMZBxzAMNW/eXLNnzza9MKfhikFrcfoKTuDPvGlWY+4wILwFFOyOnYTY7XbrtNNOU1RUlKlFOU04/PIN96sPOX0Fp6htXq9A+TOG8UTC4XgF4MQCCnann366VXU4ntlXDJop3K8+DJXTVyfDqS0Eqj6fF+YBAxouv77Jjz0FeyyXy6V33nnHtKKcKJArBv1Rn1/kxwr3qw9D4fTVyXBqCwAQLH59m99666213v/ll19qxYoV6tKli6lFOZW/Vwz6g6sKazLj9NXRzAzO9JwAAILFr2BX21Jizz33nF5++WVdffXVmjlzpumFAXVhVojiVBYAIBwFfP7t4MGDmjFjhnJycvTII49o5MiRVtQFAACAAAUU7L788ktNnTpVLVq00CuvvKK2bdtaVRcAAAACFOHvE5csWaJJkyZp2LBhWr58OaEOAAAgxPjVY3fzzTfrgw8+0DXXXKPhw4frq6++Ou45ffr0Mb04AAAA+M9l+DFCvFOnTiffiMul7777zrSijnbgwC+WbPdYiYmxQd1ffXFVrLVoX2vRvtaifa1F+1ornNo3mNmhel+n4leP3datW+tVDAAAAKzn9xg7AAAAhDaCHQAAgEMQ7AAAAByCYAcAAOAQBDsAAACHCHhJMQChqbKyUkVFRXaX4RePx62yMq/dZZxSixYt5Ha77S4DAPxGsAMcIDt7uWbOzNDBg8V2l+IIqampysrKksvlUk7OJnXr1tPukgDAL35NUGwnJiiuXThN4BiOwql9Kysr1anTWYQ6k0RERCg3N1ctW7aUJOXl5cnlira5qsCE0+c3HNG+1gqn9g3FCYoZYweEuaKiIkKdieLj432hTpKSkpLkcrlsrAgA/EewAwAAcAjG2AEO9K2kBLuLCFP0zQEIZwQ7wIESJCXaXQQAIOg4FQsAAOAQBDsAAACHINgBAAA4BMEOAADAIQh2AAAADkGwAwAAcAimO0FYsnrBe6sXqWdxeQCAFQh2CDvhvOA9i8sDAKxEsENYqaysDNtQFxERoYULFyouLk6S1LVrZ3sLAgA4DsEuyMxaTNzlMm9bhmGYsp1gCOcF72tbXD4/vySs2h8AENoIdkHi8UQqJqaxIiLMW4kyNrZ+r8/OzlZaWpokacGCRUpJGWtCVQDqwsxxo2aNEWUsKBB+CHZBYnaoqy+v16v09HQVFx/p/crMnKbk5FFheRAPlwXvQ+f/PkJNqI0bdfpY0Pqe7ajPGRN66GE1gl0QuFyukAp1klRQUKC8vDzf7by8PBUWFiohIRwiUk0seI9wFmrjRp08FtTMMyeBnjHhDAmChXnsAMBGoTZutLaxoGaN57WbXWdOjj5DUlxcrMzMafJ6rZtOCQ0bPXY26byos/JL823bf1VJlW37BoBgs/PMiZPOkCD0Eexskl+ab2uw0yH7dg3g5OwcN+qMvjmg4SLYAUCIYdxocATrzAlnSBBMBDsAQIMUtDMnnCFBEHHxBAAAgEMQ7AAAABzC1mDn9Xo1adIk3XXXXXaWAQAA4Ai2BruFCxcqJyfHzhIAAAAcw7Zgt3HjRr399tsaPny4XSUAAAA4ii3B7ueff9bdd9+tefPmKTo62o4SAAAAHCfowa6qqkoZGRmaPHmyOnXqFOzdAwAAOFbQ57FbvHixGjVqpEmTJvn1/Kgod1CXgfF4zG+ScFlm0eNxW/L+zeTxuO0uwVQej1uGUf9twFpm/H862bZDnZXvP1hC7TgcDsdbu0RGhv6/iWOF0v/LoFfy2muvKS8vT71795YkHT58WJL0zjvv1HohRUVFcBdKLiurNH2bLpdLsbGmb9Z0ZWVeS96/mcrKnLVwdlmZV0Y9vzGd1iahyIz/Tyfbdqiz8v0HS6gdh8PheGuncGubUKo36MHurbfeqnG7eqqTOXPmBLsUAAAAR2GCYgAAAIew/aQwPXUAAADmoMcOAADAIQh2AAAADmH7qVgAAILF6/WqoKBAklRVUiUdCsJOS4OwD+A3BDsAQIOQnZ2t9PR05eXl2V0KYBmCXRDZ8kvxRPgFCYSUiIgIxcfHS5JsnUs3IcHOvVsqLS1NxcXFdpcBWIpgFyT8UgRwIqmpqVq4cKFatmxpdymOFUoTLMfExiouLs7uMuBQXDwRJGlpaYQ6ALXKysoi1AXBggWLlJSUZGsNMbGxmjtnniIj6VeBNfhkBUEo/VI8EX5BAvZo0aKFXKG2kOlRqirDfzmxaikpY5WcPEqFhYX12o7H467zUnBxcXGEOliKT1eQLFiwSJmZ00Ky1y4cf0GGzHikQDh47BLqzu12Kydnk7p27Wx7b9Kxqiq9Kiktt7sMU7ndbiXU89+ixxMZUmuDAkcLn2/yMGfWL8Vq9fnFeKxw+wXJeCQ4TbduPSVJ+fklpmzPrOODU3rqgIYkfL7NHcCMX4rVGvIvxqysLE4bw5HMClKGQSgDGiounkBYCfXxSIFw0tglAEBoINghrBwZj/RlSI5VDIQTxy4BAOzHqViEHbPHI9XGzDGMtaGnDgBgBYIdwpaV4YgxSgCAcMSpWAAAAIcg2AEAADgEwQ4AAMAhCHYAAAAOQbADAABwCK6KBRwiLNfPDUWs6QsgjBHsAAdg/VwAgESwAxyB9XMBABJj7ICw56T1c0MRa/oCCCcEOyDMOWX93FDEmr4Awg2nYgEHCMb6uWayei1es9BTByDcEOwABwmXIMJavABgDU7FAgAAOATBDgAAwCEIdgAAAA5BsAMAAHAIgh0AAIBDEOwAAAAcgmAHAADgEAQ7AAAAhyDYAQAAOATBDgAAwCEIdgAAAA5BsAMAAHCISLsLaGhcLpdJ2zFvWyzGDgCAMxDsgsTjiVRMTGNFRJgTxiQpNrZ+r8/OzlZaWpokacGCRUpJGWtCVQAAwC4uI8S7aw4c+CUo+0lMjLV0f6edFmNqqKsvr9erNm3aKC8vT5KUlJSkr77aJrfbbXNlocHjiVRZWaXdZYSs+vYWezxulZV56/z6ED9s1RvtG9o4PlgrnNrX6uxQ275OhR67IHC5XCEV6iSpoKDAF+okKS8vT4WFhUpISLCxKoQ6M3ue69Lj7PReZto3uOoaoOs6FIbAjGCgx+43VqZul8ulhIQY07dbHwcOHFBSUlKN+7799geC3W/C6RdjMNnZ89wQeplp3+CwYmjMyTS0wFxf4XT8pccOPp0XdVZ+ab5t+68qqbJt3whPdvc8O72XmfYNnmCGOq/Xq/T0dBUXF0uSMjOnKTl5lCMDM0IDwc4m+aX5tgY7HbJv1wBgl2AH6IYUmBEaCHZokE41PsafMTQhPoohKILZ89wQe5lpXzhRfY+/HHtPjmCHBiWQsTUnGnzOeJn/CmrPcwPsZaZ9g8PKAE1g/q/6Hn859vqHYIcGpb5jaxgvAziPpQG6AQfmY9Xn+Mux138sKYYGw4yxNScaLwMAOLH6Hn859vrPlmC3Zs0adenSRT169PD9ZWRk2FEKAACAY9hyKvbrr7/WZZddpocfftiO3QM+gY6tYbwMAJgjkOMvx17/2RbsRo4caceugRoCHlvDeBkAMEVAx1+OvX4LerCrqqrSli1bFB0drSVLlsjr9Wrw4MG688471bx582CXAwAA4BhBH2NXUFCgLl26KDk5WWvWrNHy5cu1c+dOxtgBAADUU9B77BISErRs2TLf7ejoaGVkZOjKK69USUmJYmJqrqkaFeUO6izhHo/5TVLHdaaDzuNxW/L+Q4VV/x+c3m7VQvFz7KS2p32DIxTa2YnteipWtHsotWOo1CHZEOy2bt2q1atXa/r06b6ZpcvLyxUREaFGjRod9/yKCm9Q67Ni4WGXy3XCyW5DSVmZN2wWXq4Lq/4/OL3dqoXi59hJbU/7BkcotLMT2/VUrGj3UGrHUKlDsiHYxcXFadmyZWrevLkmT56svLw8PfLII7r88strDXaA2bxerwoKCiT9dqVVIINyS62pCQAagjoffzn2+i3owa5Vq1ZavHix5s+fr6eeekoej0ejRo1ijB2CIjs7W+np6TUmugQAWI/jb3DYclK4b9++Wr58uR27RgOXlpbmW5IGABA8HH+DgyXF0GAYhmH6NmNiYxUXF2f6dgHAScw+/nLsPTGCHRqUBQsWKSkpyZRtxcTGau6ceYqMDJ2roQD4x+v16sCBAzpw4MCRsV6/ypo/xob5mHX85dh7crQKGpSUlLFKTh51ysWjPR63yspOfkV2XFwcBxaYrl4X99RHAwogjPWyh1nHX469J0fLoMFxu91KSEg46XM8nsiQunw9lBA8rEPgCA7GetmH46/1CHZBZNsXYm0awJckzEfwsBaBw3pWjLUNBGPDYDWCXZDwhQgnIHhYx+7AcSwnB5AFCxYpM3Na0I/HjA1DMPDpChK+EBHuCB7WsytwHMvpAcTfsV4n4s8Y3NowNgzBwCcsCELtC7E2TvyShPkIHtaqb+CoVtfgUa0hBBB/xnqdCGPAEMqc/S83hITKF2JtnPolCfMRPKxXn8BRjeABNFwuI8S7kw4c+CUo+0lMjLV8f16vt95fiNXq+8V4NCd/SdYVX4zWon2tRftai/a1Vji1bzCyw7H7OhW+zYPIjF/i1cLpgw8AAIKDlScAAAAcgmAHAADgEAQ7AAAAhyDYAQAAOATBDgAAwCEIdgAAAA5BsAMAAHAIgh0AAIBDEOwAAAAcgmAHAADgEAQ7AAAAhyDYAQAAOATB7hgul8vuEgAAQIgL1bwQaXcBoSYhIcbuEgAAAOqEHrvfVFRU2l0CAAAIM6GWH+ix+01R0SG7SwiIxxOpsrLQ+jA5Ce1rLdrXWrSvtWhfa9G+9UOPHQAAgEMQ7AAAAByCYAcAAOAQBDsAAACHINgBAAA4BMEOAADAIQh2AAAADkGwAwAAcAiCHQAAgEMQ7AAAAByCYAcAAOAQBDsAAACHINgBAAA4BMEOAADAIQh2AAAADkGwAwAAcAiXYRiG3UUAAACg/uixAwAAcAiCHQAAgEMQ7AAAAByCYBemCgoKdOmll+rTTz+1uxRH2bp1qyZPnqy+fftqwIAByszMVEFBgd1lOcbGjRt1xRVXqGfPnhowYIAeeOABHT582O6yHMXr9WrSpEm666677C7FcdasWaMuXbqoR48evr+MjAy7y3KEoqIiZWZmql+/furTp4+mTJmivLw8u8sKSwS7MPT5559r4sSJ+umnn+wuxVEOHz6sG264QT169NBHH32k1atXq6ioSLNmzbK7NEcoKCjQTTfdpKuvvlo5OTlatWqVPvvsMz3zzDN2l+YoCxcuVE5Ojt1lONLXX3+tyy67TF988YXv75FHHrG7LEe49dZbVVpaqnXr1um9996T2+3Wn//8Z7vLCkuRdheAwKxatUqPP/64MjIyNHXqVLvLcZTc3Fx16tRJt9xyi9xutxo1aqSJEycqMzPT7tIcIT4+Xh9//LFiYmJkGIaKiopUVlam+Ph4u0tzjI0bN+rtt9/W8OHD7S7Fkb7++muNHDnS7jIc55tvvtFXX33lOz5I0gMPPKADBw7YXFl4oscuzAwcOFDr1q1TSkqK3aU4ztlnn60lS5bI7Xb77lu7dq3OO+88G6tyluqD9uDBgzVmzBglJiZq/PjxNlflDD///LPuvvtuzZs3T9HR0XaX4zhVVVXasmWL3n//fQ0ZMkSDBg3Sn//8ZxUXF9tdWtjbvHmz2rdvr5deekmXXnqpBg4cqLlz5yoxMdHu0sISwS7MJCYmKjKSjlarGYahxx57TO+9957uvvtuu8txnLffflsbNmxQRESEbrvtNrvLCXtVVVXKyMjQ5MmT1alTJ7vLcaSCggJ16dJFycnJWrNmjZYvX66dO3cyxs4ExcXF2rZtm3bu3KlVq1bp1Vdf1f79+zVjxgy7SwtLJATgGCUlJZo5c6a2bNmiF198UR07drS7JMdp3LixGjdurIyMDF1xxRUqLi5W8+bN7S4rbC1evFiNGjXSpEmT7C7FsRISErRs2TLf7ejoaGVkZOjKK69USUmJrzcagWvUqJEk6e6775bH41FMTIzuuOMOXXnllfr111/VtGlTmysML/TYAUf56aefNGHCBJWUlGjlypWEOhNt2rRJI0aMUHl5ue++8vJyRUVFceqwnl577TV99tln6t27t3r37q3Vq1dr9erV6t27t92lOcbWrVv16KOP6ujFmsrLyxUREeELJqib9u3bq6qqShUVFb77qqqqJEksjhU4gh3wm+LiYl133XXq2bOnnn32WQb1m6xjx446fPiw5s2bp/Lycu3du1dz585VamoqX4z19NZbb2nTpk3KyclRTk6ORo8erdGjR3N1rIni4uK0bNkyLVmyRJWVlcrNzdUjjzyiyy+/nM9vPfXv319t27bVrFmz9Ouvv6qgoECPPfaYLrnkEnpC64BgB/zmlVdeUW5urt5880316tWrxlxVqL+mTZtqyZIl+v777zVgwABNmjRJ/fv3ZzoZhIVWrVpp8eLFevfdd9W3b19NmDBBXbt21V/+8he7Swt7UVFRWrp0qdxut5KTk5WcnKxWrVrpoYcesru0sOQy6OcEAABwBHrsAAAAHIJgBwAA4BAEOwAAAIcg2AEAADgEwQ4AAMAhCHYAAAAOQbADAABwCIIdANTRzp077S4BAGog2AGos6FDh6pr166+FTq6d++uyy67TNnZ2XaXVqucnBzTVhJZv369/vjHP5qyrWqGYWjFihWaMGGCevTooT59+uiqq67Sq6++GvC2nnjiCU2aNMnU+gCEvki7CwAQ3u677z6NHz9e0pFF0d9//33NnDlThYWFuvHGG22urqbevXvriy++MGVbRUVFpi9Qfuedd+qLL77QrFmz1L9/f0VFRWnDhg26//779dlnn7HEEoBToscOgGkaNWqk4cOHa8aMGVq4cKFKSkokSfn5+brzzjs1YMAADRw4UH/5y198j3366acaOnSonnrqKV100UXq27evbr31Vt/jkpSdna1Ro0apZ8+eGjNmjF5//XXfY5MmTdLjjz+uq6++Wt27d9fYsWO1efNmTZ8+XT179tTQoUP1/vvv+/bVsWNHSdKePXvUsWNHZWdna+jQoerVq5cmT56sffv2STrSe/bMM89ozJgx6t27t/r06aPp06fr8OHD+vTTT3XvvfcqNzdXPXr00P79+3X48GH97W9/0+DBg9WnTx9NmjRJmzdv9tXZsWNHzZ49W/369dPNN998XNu98847Wrt2rV544QVdcsklatKkiaKiojRs2DA9++yzevXVV/XBBx/43vNdd92lIUOG6OKLL1ZJSYk2bdqkCRMmqHv37rrqqqu0Z8+eGtv/+OOPlZqaqt69e2vUqFE12vCuu+7SbbfdppEjR+r3v/+9fvrppzp/BgDYzACAOhoyZIjx8ssvH3f//v37jQ4dOhgffPCB4fV6jSuuuMLIyMgwfvnlF6OgoMC46aabjKlTpxqGYRiffPKJ0aFDB+Pee+81Dh06ZOzcudMYMGCAsXjxYsMwDOPll182evbsaXz88cdGZWWl8fHHHxs9e/Y03n77bcMwDOOaa64x+vfvb3z//fdGWVmZ8Yc//ME477zzjHXr1hnl5eXGnDlzjKFDh9bYl2EYxu7du40OHToYU6ZMMYqLi40DBw4Yo0ePNv785z8bhmEY//rXv4wBAwYYP/74o2EYhvHvf//b6Nu3r/HSSy/56hoyZIjvPc+YMcMYM2aMsXPnTqOsrMz4+9//bvTo0cPYu3evYRiG0aFDByMtLc0oLS01iouLj2uzGTNmGJMmTTphW/+///f/jLvuusv3ni+66CJj3759RnFxsVFQUGD07t3bWLx4sVFeXm7k5OQYPXv2NK655hrDMAzju+++M7p162asXbvWqKysND7//HOjX79+xoYNG3z77t69u7Ft27ZaawMQPuixA2C6Fi1aSDpyuvKbb77Rli1bdO+99yomJkYtWrTQjBkz9K9//UuFhYW+19xyyy1q3Lix2rVrp379+unHH3+UJL388suaOHGiLrzwQrndbl144YWaOHGili9f7nttcnKy2rdvr0aNGql37946++yzdckllygqKkqDBg3S3r17T1hrWlqamjVrpoSEBA0dOtR3QcSgQYO0cuVKnXnmmSooKFBhYaHi4uK0f//+47ZRVlam1atXa/r06WrXrp0aNWqk6667TmeffbZWr17te97o0aMVHR2tZs2aHbeNvLw8JSYmnrDOpKQk5eXl+W4PGjRILVu2VLNmzfT+++8rOjpaaWlpioqKUq9evTRhwgTfc5cvX65hw4Zp+PDhcrvd6tmzp6688kotW7bM95zu3burQ4cOtdYGIHwwxg6A6QoKCiRJp512mvbs2SOv16vBgwfXeE6jRo20e/du3+2jQ01UVJRv/Fp+fr7atm1b47VnnHGG1q9f77sdFxfn+2+3263mzZv7bkdERJx0LFxCQoLvvyMjI33PNQxDjz32mN577z3Fx8erc+fOqqioqHVbxcXFqqio0BlnnHFcnUefEk1KSjphHYmJidq1a9cJH9+zZ4/at29f67b279+v1q1by+Vy+e773e9+p++++06StHfvXn3yySfq3bu373Gv16vf/e53ftUGIHwQ7ACYbv369WrSpIkuuOACbd++XY0bN9ann34qt9st6chFFrt371a7du30+eefn3RbZ5xxxnFjvnbv3l0jCB4daMzy6KOPKjc3V+vXr1dMTIwkacyYMbU+NyEhQR6PR7t379Y555zju/+nn37S0KFD/apzxIgRuvXWW7Vt2zbfOMBq3377rb799ltNmTKl1m21atVKe/fuVVVVlSIijpyIqR4rWP345Zdfrvvvv993X15eXo2QakUbAgg+TsUCME15ebnWrFmj+fPna+rUqYqJiVG3bt3Url07zZkzR7/++qsOHz6shx56SNdff728Xu8pt5mamqoVK1Zo48aN8nq9+uSTT3xTglippKREHo9HbrdbZWVleu6557R9+3ZVVFRIkjwejw4dOqTKykpFRERowoQJmj9/vnbt2qXy8nK98MIL+ve//61Ro0b5tb8hQ4ZozJgx+tOf/qR3331XpaWlKi0t1TvvvKMpU6Zo1KhRGjJkSK2vHTp0qAzD0BNPPKHy8nJ98803NaacSU1N1erVq/XRRx+pqqpKO3fu1DXXXKPnnnuu/g0FIKTQYwegXu6991498MADko6EnbPPPlv33XefUlJSJB05vbl48WLNnTtXw4cPV1lZmbp166bnn39eHo/nlNsfOXKkSkpKNHv2bOXm5qply5bKzMzUuHHjrHxbuuOOOzRz5kz1799fTZo0Ua9evXTZZZdp+/btkqQ+ffrotNNOU58+fbR8+XJlZmbqiSee0PXXX6+ioiJ17NhRzz77rM466yy/9/nwww9r5cqVeuaZZzRjxgxJUvv27XXrrbf6ppSpTbNmzfTss8/qr3/9q55//nm1a9dOycnJvnGKF1xwgebPn6/58+fr9ttvV3R0tEaPHq1p06bVo4UAhCKXcbLBJwAAAAgbnIoFAABwCIIdAACAQxDsAAAAHIJgBwAA4BAEOwAAAIcg2AEAADgEwQ4AAMAhCHYAAAAOQbADAABwCIIdAACAQxDsAAAAHIJgBwAA4BD/H7jhPY4ZF25FAAAAAElFTkSuQmCC" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 4 }, { "cell_type": "markdown", "id": "sa08", "metadata": {}, "source": [ "### Differencing Progression\n", "\n", "The ACF of $\\log y$ decays very slowly and has large spikes every 12 lags — confirming that the series is non-stationary in both the mean (trend) and the seasonal component.\n", "\n", "We compute the doubly-differenced log series $w(t) = \\nabla_{12}\\nabla\\log y(t)$ in two steps using `sdiff`:\n", "\n", "1. $\\nabla\\log y(t)$ — regular first difference (removes trend), $N = 143$\n", "2. $\\nabla_{12}\\nabla\\log y(t)$ — seasonal difference at lag 12 (removes seasonality), $N = 131$\n", "\n", "After double differencing, $w(t)$ should be stationary and suitable for ARMA model order identification." ] }, { "cell_type": "code", "id": "sa09", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:49:54.478605Z", "start_time": "2026-06-09T18:49:54.343870Z" } }, "source": [ "# Regular first difference of log y\n", "dly = sdiff(ly, 1, 1).flatten() # nabla log y(t), N=143\n", "\n", "# Seasonal difference (period=12) of the regularly-differenced series\n", "w = sdiff(dly, 1, 12).flatten() # nabla_12 nabla log y(t), N=131\n", "\n", "print(f'∇log y: N={len(dly)}, mean={dly.mean():.4f}, std={dly.std():.4f}')\n", "print(f'∇₁₂∇log y (w): N={len(w)}, mean={w.mean():.4f}, std={w.std():.4f}')\n", "\n", "fig, axes = plt.subplots(2, 1, figsize=(12, 7))\n", "axes[0].plot(dly)\n", "axes[0].axhline(0, color='k', linewidth=0.8)\n", "axes[0].set_title('Regularly differenced ∇log y(t) — trend removed, seasonal pattern remains')\n", "axes[0].set_xlabel('Month')\n", "axes[0].set_ylabel('∇log y')\n", "\n", "axes[1].plot(w)\n", "axes[1].axhline(0, color='k', linewidth=0.8)\n", "axes[1].set_title('Doubly differenced w(t) = ∇₁₂∇log y(t) — stationary')\n", "axes[1].set_xlabel('Month')\n", "axes[1].set_ylabel('w')\n", "plt.tight_layout()\n", "plt.show()" ], "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "∇log y: N=143, mean=0.0094, std=0.1062\n", "∇₁₂∇log y (w): N=131, mean=0.0003, std=0.0457\n" ] }, { "data": { "text/plain": [ "
" ], "image/png": "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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 5 }, { "cell_type": "markdown", "id": "sa10", "metadata": {}, "source": "## Step 2 — Select Model Order\n\nWe apply `uniAnal` to $w(t) = \\nabla_{12}\\nabla\\log y(t)$ to identify the ARMA orders. The ACF now decays quickly from lag 0, confirming stationarity. Key features to look for:\n\n- **ACF spike at lag 1** → regular MA(1) term ($n_c = 1$, so `nc[0] = 1`)\n- **ACF spike at lag 12** → seasonal MA(1) term ($n_{c,s} = 1$, so `nc[1] = 1`)\n- **ACF spike at lag 13** → interaction of MA(1) and seasonal MA(1) (expected for the multiplicative model)\n- **No significant AR structure** in the PACF/GPAC → $n_d = 0$, $n_{d,s} = 0$\n\nThese patterns suggest **ARIMA$(0,1,1)\\times(0,1,1)_{12}$**." }, { "cell_type": "code", "id": "sa11", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:49:58.770636Z", "start_time": "2026-06-09T18:49:58.639197Z" } }, "source": [ "acf_w, pacf_w, gpac_w = uniAnal(w, na=36, nump=10, nrg=6, ncg=6)" ], "outputs": [ { "data": { "text/plain": [ "
" ], "image/png": "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" }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "
" ], "image/png": "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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 6 }, { "cell_type": "markdown", "id": "sa12", "metadata": {}, "source": [ "### ACF/PACF/GPAC Interpretation\n", "\n", "In the plots of $w(t)$:\n", "\n", "- The **ACF** has significant spikes at lags 1, 12, and 13 (and cuts off thereafter) — the hallmark of an MA$(1)\\times$MA$(1)_{12}$ structure.\n", "- The **PACF** shows a trailing pattern consistent with a pure MA model rather than an AR model.\n", "- The theoretical **GPAC** for an MA(1) model would have just zeros in row 1. Because the ACF values after the first lag are small and random (inside the confidence limits), the experimental GPAC is not accurate.\n", "\n", "Conclusion: select **ARIMA$(0,1,1)\\times(0,1,1)_{12}$** — no AR terms, one regular MA term, one seasonal MA term." ] }, { "cell_type": "markdown", "id": "sa13", "metadata": {}, "source": "## Step 3 — Estimate Parameters\n\nThe seasonal ARIMA model is built with `pmodel` using:\n\n- `nc=[1, 1]` — one regular MA coefficient ($c_1$) and one seasonal MA coefficient ($c_{s,1}$)\n- `nd=[0, 0]` — no regular or seasonal AR terms\n- `diff=[1, 1]` — regular first difference ($d=1$) and seasonal difference ($d_s=1$)\n- `per=[12]` — seasonal period of 12 months\n\n`estimate` receives the **log-transformed** series `ly` and handles the double differencing internally, training the Levenberg-Marquardt optimizer on $w(t) = \\nabla_{12}\\nabla\\log y(t)$.\n\nFor **validation**, `predict` and `uniChi` must receive the pre-computed doubly-differenced series `w`." }, { "cell_type": "code", "id": "sa14", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:50:06.286854Z", "start_time": "2026-06-09T18:50:06.069928Z" } }, "source": [ "pmod = pmodel('arma', nc=[1, 1], nd=[0, 0], diff=[1, 1], per=[12])\n", "pmod.estimParams.epochs = 100\n", "pmod.estimParams.goal = 1e-4\n", "pmod, trec, stat = estimate(pmod, ly)" ], "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Epoch 0/100 Time 0.0011429786682128906 PMODMSE 0.0022471753069250285/0.0001 Gradient 0.1610366016128803/0.0001 mu 0.001/10000000000.0\n" ] }, { "data": { "text/plain": [ "
" ], "image/png": "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" }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "2.4737122402061438e-05 0.0001\n", "Epoch 6/100 Time 0.12885308265686035 PMODMSE 0.001388749918890416/0.0001 Gradient 2.4737122402061438e-05/0.0001 mu 1.0000000000000005e-09/10000000000.0\n" ] }, { "data": { "text/plain": [ "
" ], "image/png": "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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": 7 }, { "cell_type": "code", "id": "sa15", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:50:10.271282Z", "start_time": "2026-06-09T18:50:10.136161Z" } }, "source": "pmoddisp(pmod, stat)\npmodpzplot(pmod)\nplt.show()\n\nc1 = pmod.c[0][0]\ncs1 = pmod.c[1][0]\nprint(f'\\nFitted model: ARIMA(0,1,1)×(0,1,1)₁₂')\nprint(f' Regular MA: c1 = {c1:.4f} (Box-Jenkins reference ≈ -0.40)')\nprint(f' Seasonal MA: cs1 = {cs1:.4f} (Box-Jenkins reference ≈ -0.61)')", "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Parameter estimates — ARMA model\n", "--------------------------------\n", " Param Value ±2σ 95% CI\n", " ----------------------------------------\n", " c(1)1 -0.3772 0.1627 ( -0.5399, -0.2144)\n", " c(2)1 -0.5725 0.1548 ( -0.7273, -0.4176)\n", "\n", " Residual std σ = 0.037266\n", " Residual var σ² = 0.001389\n" ] }, { "data": { "text/plain": [ "
" ], "image/png": "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" }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "
" ], "image/png": "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" }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n", "Fitted model: ARIMA(0,1,1)×(0,1,1)₁₂\n", " Regular MA: c1 = -0.3772 (Box-Jenkins reference ≈ -0.40)\n", " Seasonal MA: cs1 = -0.5725 (Box-Jenkins reference ≈ -0.61)\n" ] } ], "execution_count": 8 }, { "cell_type": "markdown", "id": "sa16", "metadata": {}, "source": [ "## Step 4 — Validate the Model\n", "\n", "A well-fitted seasonal ARIMA model should produce **white residuals** on the doubly-differenced log series. We check this in three ways:\n", "\n", "1. **Theoretical vs Experimental ACF** — `partoacf_pmod` computes the theoretical autocovariance of the fitted MA$(1)\\times$MA$(1)_{12}$ model (which is a pure MA(13) process). We compare it to the experimental ACF of $w$.\n", "2. **Residual ACF** — `uniAnal` on the residuals $e(t) = w(t) - \\hat{w}(t|t-1)$; all values should lie within the 95% confidence bounds.\n", "3. **Statistical test** — `uniChi` portmanteau test on $e$; a p-value > 0.05 confirms adequacy." ] }, { "cell_type": "markdown", "id": "sa17", "metadata": {}, "source": "### Check 1 — Theoretical vs Experimental ACF\n\nThe fitted model $(1 + c_1 B)(1 + c_{s,1} B^{12})\\,w(t) = e(t)$ is a pure MA(13) process. Its ACF is non-zero only at lags 0, 1, 12, and 13 (from the product of the two MA polynomials). Agreement between the theoretical ACF and the experimental ACF of $w$ confirms that the model has captured the correlation structure." }, { "cell_type": "code", "id": "sa18", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:50:15.969153Z", "start_time": "2026-06-09T18:50:15.893864Z" } }, "source": [ "# Noise variance from one-step prediction errors on the doubly-differenced log series\n", "var_e, _ = pmodmse(pmod, w)\n", "print(f'Estimated noise variance: {var_e:.6f}')\n", "\n", "# Theoretical autocovariance of the fitted MA(1)×MA(1)_12 model\n", "lagmax = 37\n", "acf_theory, _, _ = partoacf_pmod(pmod, var_e, lagmax)\n", "\n", "# Experimental ACF of w from Step 2 (na=36 -> center index is 36)\n", "acf_exp = acf_w.squeeze()[36:36 + lagmax]\n", "\n", "# Normalize to lag-0 = 1 for shape comparison\n", "acf_theory_norm = acf_theory / acf_theory[0]\n", "acf_exp_norm = acf_exp / acf_exp[0]\n", "\n", "lags = np.arange(lagmax)\n", "fig, ax = plt.subplots(figsize=(12, 4))\n", "ax.stem(lags, acf_exp_norm, linefmt='C0-', markerfmt='C0o', basefmt='k-', label='Experimental (w)')\n", "ax.plot(lags, acf_theory_norm, 'r-o', markersize=5, linewidth=1.5, label='Theoretical (SARIMA fit)')\n", "ax.set_title('ACF of w = ∇₁₂∇log y: Experimental vs Theoretical')\n", "ax.set_xlabel('Lag')\n", "ax.set_ylabel('Normalised autocovariance')\n", "ax.legend()\n", "plt.tight_layout()\n", "plt.show()" ], "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Estimated noise variance: 0.001389\n" ] }, { "data": { "text/plain": [ "
" ], "image/png": "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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 9 }, { "cell_type": "markdown", "id": "sa19", "metadata": {}, "source": [ "### Check 2 — Residual ACF\n", "\n", "One-step-ahead prediction errors $e(t) = w(t) - \\hat{w}(t|t-1)$ should look like white noise. We compute residuals on the doubly-differenced log series $w$ and apply `uniAnal` to check that the ACF, PACF, and GPAC all lie within the 95% confidence bounds." ] }, { "cell_type": "code", "id": "sa20", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:50:20.407279Z", "start_time": "2026-06-09T18:50:20.239634Z" } }, "source": [ "e = w - pmod.predict(w)\n", "print(f'Residual std: {e.std():.4f} (noise std: {np.sqrt(var_e):.4f})')\n", "acf_e, pacf_e, gpac_e = uniAnal(e, na=36, nump=10, nrg=6, ncg=6)" ], "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Residual std: 0.0372 (noise std: 0.0373)\n" ] }, { "data": { "text/plain": [ "
" ], "image/png": "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" }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "
" ], "image/png": "iVBORw0KGgoAAAANSUhEUgAAAnYAAAHWCAYAAAD6oMSKAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8hTgPZAAAACXBIWXMAAA9hAAAPYQGoP6dpAABHaElEQVR4nO3de1iUdf7/8dfMgCMKBgRommsH06y0Mg+bWqaWGB4ypdNvs/IqqjWs1MDsuJVbuqZ9NawMO625XwvLMteygx2/WV1kB9NOa2Uqm0jAGKHADPfvD5dZkQFmYGbumZvn47q8Lud0328+DDOv+/P53J/bZhiGIQAAAEQ9u9kFAAAAIDgIdgAAABZBsAMAALAIgh0AAIBFEOwAAAAsgmAHAABgEQQ7AAAAiyDYAQAAWATBDgAAwCJizC4AQNu1fft2/eMf/9AHH3ygX375RTExMerZs6cmTJigiy++WLGxsd7njhw5Urt37673+nbt2qlLly4aM2aMsrOz5XQ6vY8ZhqFRo0Zp9+7dev7553Xqqac2WsemTZu0cuVKffHFF9q3b5+6dOmiESNG6JprrlFKSkqzP0cg+wKAUCLYATDF+vXrNWfOHB133HGaOnWqjj32WB04cEDvvvuuHnjgAb333nt67LHHZLPZvK8ZPny4pk2b5r1dVVWljz/+WI888oh2796tRYsWeR/btGmTfvnlFx1//PFatWpVo2Fr4cKFys/P15gxY3T77bcrMTFR3333nfLz8/X6669rxYoV6tatW5M/i7/7AoBQs3GtWADhtn37dk2aNElDhgzRww8/rJiY+seYGzZs0I033qiFCxdq3Lhxkg722A0aNEjz5s1rsL3bbrtNL774ot577z2lpaVJkmbNmqV///vfGjlypB5++GG9//776tSpU73XrV+/XjNmzNCcOXN01VVX1Xvs559/1sSJEzVo0CA99thjTf48/uwLAMKBOXYAwm758uWy2+2aO3dug1AnSenp6Zo4caLsdv8+ok455RQZhqF///vfkqR9+/bpjTfe0DnnnKPx48erurpaa9asafC6ZcuWqWfPnrryyisbPPaHP/xBubm5OuOMM1RbW9vovv3dV+/evZWXl6fJkyfrjDPO0COPPKIXX3xRJ510kgoKCjRs2DCdffbZ+v777+XxePT4449r3Lhx6tevn0477TRdeuml2rRpkyTp+++/V+/evfXcc8/V28eePXvUp08fn/sH0DYQ7ACE3VtvvaU//vGPOvLIIxt9zvz585WRkeHX9n788UdJUvfu3SVJr7zyimpqanTBBReoc+fOGjJkSIMQtHfvXn3zzTc655xz6g33HurSSy9VVlZWkwHTn33VefTRR5Wenq5FixZp1KhRkiSPx6PHHntMc+fO1c0336yePXvqwQcf1NKlS3XJJZdo+fLluvfee1VWVqabbrpJlZWVOuGEE3Tqqafq5Zdfrrf9l19+We3bt1d6erpf7QbAegh2AMLK5XLJ5XLpmGOOafCY2+2u98/j8dR73DCMeo/v2bNHBQUFWrVqlc4//3wlJydLkl544QUNHTpUnTt3liRNnjxZ27dv1yeffOLd1i+//CJJOvroo1v18/izrzr9+vXTtddeq+HDh6t3797e+6+//nqdc845mjRpkmw2m4qLizVjxgxNmTJFgwYN0oQJEzRr1iy5XC59++233v18+umn2rlzp3c7L730ks4//3x16NChVT8TgOjFyRMAwqqxYc0dO3Zo9OjR9e7r1q2bNm7c6L390ksv6aWXXqr3nJiYGJ133nn6y1/+Ikn69ttvtXXrVs2dO1f79u2TJA0ePFgJCQlatWqVBg0aJEneXrimhlmb4+++6vTq1cvndg6/f+HChZKk0tJS7dixQz/++KO3HWpqaiRJY8eO1QMPPKCXX35Z2dnZ+vLLL7V9+3bde++9Lf55AEQ/gh2AsEpKSlKHDh0aLF1y1FFHafXq1d7bS5cu1XfffVfvOSNGjNANN9wgSbLZbIqLi1O3bt3Uvn1773PqtnHHHXfojjvuqPf6119/XaWlpUpOTtZRRx0lm83WoI5D7du3Tw6HQx07dvT5uL/7qtPY0imHD0lv2bJF99xzj7Zs2aL27durZ8+e3jNz6853i4+P15gxY7R27VplZ2drzZo16tGjhwYMGNDozwPA+gh2AMJu1KhR2rhxoyoqKhQfHy/p4Jp0ffv29T4nMTGxwesSExPrPedw1dXVeuWVVzRq1KgGJ0T8+9//1uzZs7V69Wpde+21Sk5O1sknn6z3339fOTk5PufZPfroo1qxYoXeeOMNHXXUUS3eVyAqKip0zTXXqHfv3lq3bp2OP/542e12vfvuu9qwYUO9506ePFlr1qzRl19+qQ0bNmjKlCkB7QuA9TDHDkDYXXfddfJ4PLrttttUXV3d4PEDBw7Umzvmr40bN6qsrEyXXXaZBg8eXO/fxIkT1bNnTz3//PPeXq+rr75a3333nVasWNFgWz/88IMKCgo0aNCgBqGuJfvy1w8//KDy8nJdccUVOuGEE7xDxu+9956k+kPHAwcO1DHHHKMFCxaorKxMEydODGhfAKyHHjsAYXfCCSdo4cKFmj17tiZOnKiLL75YvXv3ltvt1meffabVq1erpKRE11xzTUDbfeGFF5ScnKwzzzzT5+MTJ07Ugw8+qA8++EBnnXWWMjIy9OGHH+qvf/2rvvjiC40ZM0YdO3bUli1b9OSTT6pTp0564IEHgrIvfx177LGKj4/XY489ppiYGMXExGjDhg3eYd/9+/fXe/7kyZO1cOFCDR061GcABdC20GMHwBTnnnuu1q5dq5EjR2r16tWaNm2apk+frjfeeEMZGRlav369Zs6c6ff29uzZo//7v//T+eef73NtPEmaMGGC7Ha7Vq1a5b1v7ty5evDBB1VcXKy7775b119/vV566SVNnjxZq1ev9p7tGox9+SMhIUGPPPKIDMPQTTfdpNzcXBUVFenZZ59Vx44dVVhYWO/555xzjiRp0qRJAe0HgDVx5QkAiGL5+flavny53n//fbVr187scgCYjKFYAIhCa9as0Xfffad//OMfuvbaawl1ACQR7AAgKn3zzTdatWqVzj33XGVlZZldDoAIwVAsAACARXDyBAAAgEUQ7AAAACyCYAcAAGARBDsAAACLiPizYvfu/c3sEiJSbKxDNTUes8uwLNo3tGjf0KJ9Q4v2DS3a17fU1AS/nkePXZSy2xtesBzBQ/uGFu0bWrRvaNG+oUX7tg7BDgAAwCIIdgAAABZBsAMAALAIgh0AAIBFEOwAAAAsgmAHAABgEQQ7AAAAiyDYAQAAWATBDgAAwCIIdgAAABZBsAMAALAIgh0AAIBFEOwAAAAsgmAHAABgEQQ7AAAAi4gxu4BIkZqaYHYJAAAgytTUuFVevt/sMrzosQMAAGih2NjI6iOLrGoiQElJhQzDMLuMZjmdMaqqcptdhmXRvqFF+4YW7RtatG9oRUv72mw2paTEm11GA/TYHSYaQh0AADBXpOYFgh0AAIBFEOwAAAAsgmAHAABgEQQ7AAAAiyDYAQAAWATBDgAAwCIIdgAAABZBsAMAALAIgh0AAIBFEOwAAAAsgmAHAABgEQQ7AAAAiyDYAQAAWATBDgAAwCIIdgAAABZBsAMAALAIgh0AAIBFEOwAAAAsgmAHAABgEQQ7AAAAi4gxuwAA1uR2u1VeXu7zMafToaoqT4P7k5KS5HA4QlwZAFgXwQ5A0BUUrNKcOTnat8/l1/MzMzOVn58vm82mwsLN6tevf4grtIbGwrOv4Exobhmbzebjvob3G4YRrpIs5/C2PLx9advA2IwIb7G9e38Ly35SUxPCur/WcjpjVFXlNrsMy6J9W87tduvEE4/1O9TZ7XYVFRWpc+fOkqTi4mLZbHGhLNES/A3P9UPz54RmPzmdMYqPby+7vWGwO1RBQYGysrIkSYsXL1VGxoRwlGcJzbVxNLRtOLND3b6aY0qw+/XXX3XnnXfqk08+kcPh0IQJEzR79mzFxDTsQCTY+UbwCI26o8S6Ho8IP+6JSCUlJTrppOP8fn5KSor27t172DYqaPsm+BueCc0td+SR8c2GOo/Ho65du6q4uFiSlJaWpi+++JaeUT811cbR0raRGOxMOXni5ptvVocOHfT+++9r9erV2rRpk55++mkzSgEkHQzKRx4Zr5SUg/9ee22devY8Wiec0F3r1681uzygnvLycr96RJOTk72hTjr45ehraBH12Wy2ZkOdJJWWlnqDh3QwOJeVlYWyNMtoro1p25YLe7DbsWOHPvnkE+Xk5CguLk7du3fXtGnTtHLlynCXAngdOhzg8XiUnZ0tl8sll8ul3NyZ8ngaTvSH/7ZJKm7k39cm1gUAVhP2kye+//57JSYm1juKPP7441VUVKR9+/apU6dO4S4JbVzdkaPH41FpaalKSkp8HimmpKSYWGV0S5GUanYRFrdNB9v5UPTNBU+fpX1UUllS777ailqTqrGmQ9uYtm25sAe733//XXFx9ed41N2urKxsEOxiYx1+dYkHi9MZHScKx8RE1jyDaGazHZykm52dXS/QHcrpdETNe8NsTmfr35tOp0NMsWucrzb2NzzTts3zNVpdUlnSINhpf8Pn8Vnhn7o2rjuglg4eRJfuP/h/VTZ8TSS3bSTVFfZKOnTooP376/811N3u2LFjg+fX1IR3CCyaTkiIplojmc1mU1ZWllyuxucsVVV5aG8/1S2zYbfblZycLKmZniMfPaGcuNI0v9uYtm0Rm82mhIT6oaO2orZhkPMRPvis8I/NZtNrrzV9QH24SG7bSKor7MHuhBNOUHl5uUpKSrxDW9u3b1eXLl2UkODfGR9AMDX3JRefkKDExMTwFGMRmZmZysvLqzflAsFFG4dWc734aL3mDqjRMmE/eeKYY47RGWecofvvv18VFRXauXOnHnnkEWVmZoa7FMBr8eKlSktLa3B/fEKC5s9b6HMpHjQuPz+fwBFitHFoZWVlEepCKNBeYw6w/WfKt9WSJUt07733atSoUbLb7Zo4caKmTZtmRimAJCkjY4LS08d6T6evW8cuMTGRUBegpKSkVi2pUetmqLA5LW1j2tY/LW0jwkdgFi9eqtzcmc0GaA6wA8OVJ/6DBYpxKNq3db78crP69u3jsxe0KbVujyoqq2l7PwTaxrRtYNavX+tX6KhTFz4uuujSEFdmLR6Pp8H6dIdfEi+SD7AjcYFigt1/EOxwKNo3OBrrVfJ1LVOJa0K2hK829tW+tG3gfIUOyXf7RnL4iDbR9PkbicGOdyGAkGksTBgGQSNYfLUj7RscDofD5/qV0RQ80PaYckkxAAAABB/BDgAAwCIIdgAAABZBsAMAALAIgh0AAIBFEOwAAAAsgmAHAABgEQQ7AAAAiyDYAQAAWATBDgAAwCIIdgAAABZBsAMAALAIgh0AAIBFEOwAAAAsgmAHAABgEQQ7AAAAiyDYAQAAWATBDgAAwCIIdgAAABZBsAMAALAIgh0AAIBFEOwAAAAsgmAHAABgEQQ7AAAAiyDYAQAAWATBDgAAwCIIdgAAABYRY3YB0cpms5m8f/NrMAzD1P0DAID6CHYBcjpjFB/fXna7uaFKkhISzNlvQUGBsrKyJEmLFy9VRsYEcwoBAAD1MBQboEgJdWbxeDzKzs6Wy+WSy+VSbu5MeTwes8sCAAAi2AXEZrO16VAnSaWlpSouLvbeLi4uVllZmYkVAQCAOgQ7AAAAi2COXSv1WdpHJZUlZpcRNrUVtWaXAAAAGkGwa6WSypI2Fey03+wCAABAYxiKBQAAsAiCHQAAgEUQ7AAAACyCYAcAAGARBDsAAACLINgBAABYBMEOAADAIgh2AAAAFkGwAwAAsAiuPAEAUcTtdqu8vLzJ5zidDlVVeRp9PCkpSQ6HI8iVAYgEBDsAiBIFBas0Z06O9u1ztej1mZmZys/Pl81mU2HhZvXr1z/IFVqHzWZr4rHGHzcMI1QlWUZTbXvwcdq3NQh2AIKuuV6lpnqU6E3yze12tyrU2e125eXlKTExUZLUt2+fIFZnHU5njOLj28tubzp8JCTUv11QUKCsrCxJ0uLFS5WRMSFUJUYtf9tWon1bw2ZEePzdu/e3sOwnNTWh2f3ZbDalpMTXf92CVJVUloS0tojyu6QF9e/atu0HpaSkmFJOsBx+dHh48IjwP5OI0tJepfq9SZ/Tm3SYkpISnXTScS1+fUpKivbu3XvYNit4bx/myCPj/Qoeh/J4POratauKi4slSWlpafrii285QDlMS9pWiuz29Sc7BHtfzeHkCbRpTmeMjjwyXikp9f8lJMQpJSVeb7/9qnr2PFonnNBd69evNbvciNfSXqVDe5OOOOIIepNgCpvN1qLgUVpa6g0dklRcXKyysrJglhb1Wtq2Eu0bKFODXWlpqc477zx9/PHHZpaBNqypYQGPx6Ps7Gy5XC65XC7l5s6Ux9P4hHRI5eXlLRoqTE5OVufOnb2309LSmp2HA2mbpGI//31tUo0Awsu0OXaffvqpbr31Vv38889mlYA2rrkjyMaOEqN92BnWkSIp1ewiLK7P0j7NTrepragNUzXW4k/bSrRvoEwJdmvWrNGSJUuUk5OjGTNmmFECgDDZpoMBpCn0zSFSlVSWNB8+9oenFqvxq20l2jdApgS7YcOGafz48YqJiSHYIaIcegTJUWJw0KsEAOFjSrBLTfX/Yz421tHiCZct4XQ23iRM+fHN6XQ02W6Rqu736fF4VFpaKungcGvp/oP/V2XD10TrzxouTmfwzlJzOh3ihM3/CmbbHrpN2vi/gvkZz2dFfcH+/oy09o2kWiKnkkbU1IR3snpVlbvRx2w2W4O1dSBVVXmabLdIZbPZ9NprBcrOzq43l64p0fqzhktTVztoybZYiuO/gtm2h26TNv6vYH7G81lRX7C/PyOtfSOplogPdkAoZWVlyeVq2YKvaJzdbldycrIkP+fPcUIKIsihvfi1FbXNz/Hy0bsP3wJuW4n2DRDBDm1WoD0V8QkJ3lX70bjMzEzl5eXVW74EwRNwaK5DePZLQUFgvfjwH20bHgQ7tGmLFy9Vbu7MZj9o4hMSNH/eQsXE8CfTnPz8fAJwiBCaQ49e/NChbcPD9G+pb7/91uwS0IZlZExQevrYBquYH35JscTEREKdH5KSkoKysHCtm7lfvhCaQytY7zl69xsK5t8z7ds0LimGNs/hcCglJeWwf6n1bhPq/ONwOFRY+Hmrhlpq3R5VVFYHsSprCFZorkN49m3x4qVKS0tr8evp3W9ca9tWon39YTMi/C87HBfWlfy7kK/NZlNKSnz91y1I9W+BRav4XdKC+ndt2/aD5a7G4HTGRNRZTtGoqRByeI/ooSL8I8lUX365WX379mn1l2NdeOY97pvH42nyWqRNvX/p3W9ac20rRVf7+pMdgr2v5kRO6wCwlKYCmmEQ4FqiX7/+kqSSkoomn9fUF6NE2zenrhe/MRz4tVxzbSvRvq1FsAOAKNNcMCM4A20Xc+wAAAAsgmAHAABgEQQ7AAAAiyDYAQAAWATBDgAAwCIIdgAAABZBsAMAALAIgh0AAIBFEOwAAAAsgitPtIDH41FpaakkqbaiVtpvckHhVGl2AQAAoDEEuwAVFBQoOztbxcXFZpcCAABQD8EuQFlZWXK5XGaXAQAA0ABz7ALARbUbik9IUGJiotllAAAAEewCtnjxUqWlpZldRkSIT0jQ/HkLFRNDxy8AAJGAb+QAZWRMUHr6WJWVlZlah9PpUFWVx9QaEhMTCXUAAEQQvpVbwOFwKCUlxdQanM4YVVW5Ta0BAABEFoZiAQAALIJgBwAAYBEEOwAAAItgjh3Cyu12q7y83OwymhUJJ6f4IykpSQ6Hw+wyAAARgmCHsCkoWKU5c3K0bx8LPLdWZmam8vPzZbPZVFi4Wf369Te7JABABLAZEb7q7t69v4VlP6mpCQ32F8m9S5Hao9RYD5Lb7daJJx5LqAsCu92uoqIide7cWZJUXFwsmy3O5KoCw1ndoUX7hhbtG1rR1L6+skOo99UceuwaQe9SYJrrQSovL6ctgyQ5Odkb6iQpLS1NJSUVXBkFAECw88XtdhPqAmC325WXl+e9tFjfvn3MLQgAgDaKYOcDvUuBaWkP0jZJ5i7zHJ1sZhcAAIhYBDuYJkVSqtlFAABgIQQ7P9G71Dh6kAAAiAwBBbvKykp16NAhVLVENHqXAABApAvoyhPjxo1TRUVFqGoBAABAKwR8SbH9+/eHog4AAAC0UkBDsYMHD9ZFF12ks88+W2lpafUey87ODmphAAAACExAwW7Xrl3q3r27fvzxR/3444/e+202ps8DAACYLaBgt2LFilDVAQAAgFYKeI7d9u3bNXfuXGVnZ6usrEzPPvtsKOoCAABAgAIKdv/3f/+niy66SGVlZfrwww914MABLV26VI8//nio6gMAAICfAgp2ixYt0kMPPaSFCxfK4XDoqKOO0uOPP67nnnsuVPUBAADATwEFux07dujss8+W9N8TJvr27SuXi+uqAgAAmC2gYNe1a1dt3ry53n1btmzRUUcdFdSiAAAAELiAzoq97rrr9Oc//1mXXXaZampqlJ+frxUrVmjmzJmhqg8AAAB+CijYjR07VvHx8Vq5cqW6du2qjz76SLfffrvS09NDVR8AAAD8FFCwk6Thw4dr+PDhoagFAAAAreBXsJszZ06zz3nggQdaXQwAAABaLqCTJ8rKyrR27Vr99ttvSkxMVFVVldatW6fq6upQ1QcAAAA/+dVjV9cbd/3112vJkiUaNWqU97EPPvhAjz32WGiqAxC13G63ysvLfT7mdDpUVeVpcH9SUpIcDkeIKwMA6wpojt3HH3+sRx55pN59Z555pqZPnx7UogBEt4KCVZozJ0f79vm3xmVmZqby8/Nls9lUWLhZ/fr1D3GF1tBYePYVnAnNQNsQULDr1q2bXn31VY0dO9Z734svvqgePXoEvTAA0cntdgcU6ux2u/Ly8pSYmChJ6tu3Twirsw5/wzOhGdGg7qIHB/9/8LZhGCZWFL0CCnYzZszQTTfdpJUrV+qoo47Srl279N133wU8FPvNN99o/vz52rp1q2JjYzV06FDdeuutSk5ODmg7ACJPeXm536FOkpKTk9W5c2fv7bS0NJWUVPCh3gR/wzOhGZHO6YxRfHx72e3/DXYFBQXKysqSJC1evFQZGRPMKi8qBXTyxKhRo/TKK69oyJAh6tixo4YPH661a9dq8ODBfm/jwIEDuuaaa3T66afrgw8+0Lp161ReXq7bbrst4OIBoC3yNzz7Cs2H9owAZjs81Hk8HmVnZ8vlcsnlcik3d6Y8nobzcdG4gHrsJk2apL///e/Kzs5u8Q6Liop04okn6oYbbpDD4VC7du10ySWXKDc3t8XbBBDZtklKaeQxYgbQNtlstnqhTpJKS0tVXFzsvV1cXKyysjKlpDT2CYLDBRTsDm3sljruuOO0fPnyevdt2LBBJ598cqu3DSAypUhKNbsIi/MVngnNiAYej0elpaWSpJKSEpOriX4BBbtRo0bpiiuuUHp6eoMu/YkTJwa8c8Mw9D//8z96++239eyzz/p8Tmyso0GiDyWnM0ZOJ2eOtZbT6dChU6Ro09A6vL3NFIzfdST9PJGoro3tdrt3bnKqfPSK+ujloG1bLyaGz7NgsNkOzqfLzs5usuPI6XTI6Qz4QllhFUn1BVTJ+++/L0l67rnn6t1vs9kCDnYVFRWaM2eOtm7dqmeffVa9e/f2+byamvCOrVdVuX2ur4XAVFV56k1+p01D6/D2NlPd7/rQ0NHkoZmP8BFJP08kqqryKDMzU3l5efXm0Pn7Wtq29aqq3GaXEPVsNpuysrLkcjU9X7SqyhPx7R1J9QUU7DZu3BiUnf7888/KyspS165dtXr1as6GBSympaED/svPz/ee7QpEI38OMOITEnifByigYLd9+3Zt2LBBxcXFSktL0+jRo9WzZ8+AduhyuXTllVfqj3/8o/7617/Kbg/oxFwAUYDQEVpJSUktOru11k1vHSLL4sVLlZs70+dQbHxCgubPW6iYmMgZ5owGfrfWo48+qiVLlqhLly5KS0vTG2+8oYcffljTpk0L6MoTL774ooqKivTqq6/qtddeq/fYZ5995n/lACJSS0NHHcJH8xwOhwoLN6tv3z5KS0vz6zW1bo8qKrmuNyJLRsYEpaePVVlZmfe+uiunJCYmEupawK8We+edd/T0008rPz9fw4YN896/ceNGzZkzR6eccopGjBjh1w6nTp2qqVOntqxaABGvJaGjDuHDf3VXkCgpqWjwmK9LihGWEakcDke95UyczpiImrMWbfwKditWrNCcOXPqhTpJGjlypGbPnq0VK1b4HewAWF9ToUPyHTwkwkdL+Gozw6AtgbbKrwlu27ZtU0ZGhs/HRo8era1btwa1KADWYBhGI/98PwYAaB2/gt2BAwcanTPTrl07LvcBAAAQAfwKdkcffXSjJzZ8/vnnOvroo4NaFAAAAALnV7AbP3687r//flVU1J8vU1JSor/+9a8tuuoEAAAAgsuvkyemTp2q999/X6NHj9aIESOUkpKioqIivffeezrllFN0xRVXhLpOAAAANMOvYBcbG6snn3xS//jHP/Tmm2+qsLBQaWlpuvHGG3XppZeyyDAAAEAE8Hvlv9jYWF155ZW68sorQ1kPAAAAWoiuNgAAAIsg2AEAAFgEwQ4AAMAiAgp29913X4MlTwAAABAZAgp2r7zyitq3bx+qWgAAANAKfp8VK0mTJ0/Wvffeq0mTJik1NbXeZca6du0a9OIAAADgv4CC3VNPPSVJev755yVJNptNhmHIZrPp66+/Dn51AAAA8FtAwe6tt94KVR0AAABopYCCXbdu3fT777/r3Xff1e7du5WWlqYRI0aoU6dOoaoPAAAAfgoo2O3YsUNXXXWVampq1LVrVxUVFWn+/Pl65plndMIJJ4SqRtPY7XYlJydLkmzNPLdNS0kxuwIAAKAAg90DDzygMWPGKCcnR3a7XbW1tVqwYIHmzZunJ554IlQ1miIzM1N5eXnq3Lmz2aUAAAD4JaBg98UXX2jJkiWy2w+ukmK323XTTTdp2LBhISnOTPn5+UpMTDS7DMuhFzQI6CEFADQioGDncDhUUVHh/WKWpIqKCsXFxQW9MDMlJSXVW8oFgal1e2QYRoP76QUFACC0AlqgeMSIEZo1a5Z++OEHVVdXa/v27crJydGIESNCVZ8pHA6HCgs/V3FxsdmlRJ1at0cVldU+H8vPzyfUAQAQQgH12M2aNUvTp09XRkaGt0dr+PDhmjVrVkiKM1O/fv0lSSUlkXkJNafToaoqj9llNOCrp06iFzSUGushBQC0PQEFu8TERK1YsUI7d+7Ur7/+qm7duik1NdXS14+N1C9Mw4jc2nw52Au6WX379lFaWprZ5VhGUz2kAIC2J6BgN2jQIH3yySfq3r27unfv7r3/nHPOUWFhYdCLg7VEei/ooSK1R/Rw0RTuAQCh12yw27Fjh+666y4ZhqGKigpdccUV9R6vqKhggWIEJBrCSLT1iAIAIPkR7Hr06KHRo0errKxMmzdv1qBBg+o93q5dO40cOTJkBQIAAMA/fg3F/ulPf5IkHX300Zo4cWIo6wEAAEALBTTHbuLEifroo4+0Z88e7zBVTU2Nvv32W91xxx0hKRAAAAD+CSjYzZ07V6tWrVLHjh0lSR6PR7///rvOOuuskBQHAAAA/wUU7F599VU9++yz2r9/v9auXav7779f8+fPV2VlZajqAwAAgJ8CCnb79+/Xaaedpr1792rr1q2y2WzKzs5WRkZGqOoDAACAnwK6pFiXLl3066+/KjU1Vb/88otqamrUvn17Sy9QDAAAEC0C6rEbPny4rrrqKj3zzDMaOHCgbrvtNjmdTh1zzDEhKg8AAAD+CqjHbubMmbrgggsUGxuru+66S+Xl5frXv/6luXPnhqo+AAAA+CmgHrt58+ZpxowZio+PV0JCgvLz80NVFwAAAAIUUI/dK6+8ori4uFDVAgAAgFYIqMdu8uTJuueeezRp0iSlpqbKZrN5H+vatWvQiwP84Xa7VV5eHtRtOp0OVVV5gra9pKQkORyOoG0PAABfAgp2Tz31lCTp+eeflyTZbDYZhiGbzaavv/46+NUBzSgoWKU5c3K0b5/L7FJ8yszMVH5+vmw2mwoLN6tfv/5mlwQAsDCbUXdtMD/s3r270ce6desWlIIOt3fvbyHZ7uFSUxPCtr9DezpbKlg9SgH8+iOO2+3WiSceG7Ghzm63q6ioSJ07d5YkFRcXy2ZjKoMkOZ0xqqpym12GZdG+oUX7hlY0tW84s0PdvpoTUI9dXXjbtm2bdu3apXPOOUe//fabjjzyyMArbIOczhjFx7eX3d76YCdJCf79jn0qKChQVlaWJGnx4qXKyJgQlJrCqby8PGJDnSQlJyd7Q50kpaWlqaSkIqrDNAAgsgV08sSvv/6qSy+9VBdffLFmz56tnTt36txzz9Vnn30WqvosJZihrjU8Ho+ys7PlcrnkcrmUmztTHk/w5pOhbbDZbK341/LXAwAaF1CP3f33369evXrpqaee0tlnn63jjz9e1157rf72t7/pf//3f0NVoyXYbLaICHWSVFpaquLiYu/t4uJilZWVKSUlxcSqgmObpEj5KSLjtx18wep5DrTH2Qq9zAAQagEFu48++khvvvmm4uLivEfO11xzjZ588smQFAcEKkVSqtlFWJwZPc+H9jJLUm7uTKWnj+VMYwA4TEDBLjY2VgcOHFBcXJx3ntDvv/+ujh07hqQ4q+uztI9KKkvCvt/aitqw7xPWYFbPs5V7mQEgmAIKdiNHjlROTo7uuOMO2Ww2/frrr5o7d66GDx8eqvosraSyxJRgp/3h3yUARAN/1sVsblUC1q2EmQIKdrNmzdKcOXM0ZswYSdKwYcM0fPhw3XvvvSEpDkDkC0fPM73MCIfWrovJupWIBAEFu44dO2rJkiUqLS3Vrl271KVLF6WlpYWqNgBRICw9z/QyI8TcbnerQp3dbldeXp4SExMlSX379gliddbl60z3urPmD8UyUf4LKNhJUmFhoXbv3i3DMPTDDz947584cWIw6wIA+MHX0OHhQ4UMDTavtetism5lYJo7u77urHnOhg9cQMHu7rvv1urVq5WWllYvTdtstoCC3aZNm7Ro0SJt375dcXFxGjNmjHJyctS+fftAygGANq25oUOGBhGp/Dm7nrPhWyagYLd+/Xo999xzOuWUU1q8w9LSUl133XX6y1/+ookTJ6qkpERXX321Hn/8cd14440t3i4AtCXNDR0yNNh6gayLadV1K0PB37PrORu+ZQIKdgkJCerVq1erdpicnKwPP/xQ8fHxMgxD5eXlqqqqUnJycqu2CwBtSXNDhwwNth7rYiIaBRTs/vznP+v222/X1VdfrU6dOtV7rGvXrn5vJz4+XpI0fPhw7dmzRwMGDNCkSZMCKQUAAFiEr7PrORu+ZQIKdlVVVVq/fr3WrVvnvc8wDNlsNn399dcB7/z111+Xy+XSLbfcohtvvFHLly8PeBsAgIMOHTpkaBDRxOfZ9ZwN3yIBBbtHHnlEd9xxh4YNGya73d7qnbdv317t27dXTk6OLrroIrlcLh1xxBH1nhMb6wjrSvdOZ8AnCvsl0q9d7nQ6Qvazh4rTGX0TaJ1Oh6J5JCyS3sfR+J4Nprr3v91u905lSdUhc8J8zEOK9vdfKIXi84T29q3uc8Tj8ai0tFTSf3rnDg9ylQ1fG6l/95FUU0CVeDweXXbZZa3a4ebNm3Xbbbdp7dq1ateunSSpurpasbGxiouLa/D8mprGV/cOhaoqd0i2a7PZAr7oeThVVXlC9rOHSlMrv0eqqipPVM9xiqT3cTS+Z4OpqsqjzMxM5eXl1ZtL19xrovn9F0qh+DyhvX2z2Wx67bUCZWdn1zs5wh+R+ncfSTUF1O02adIk/f3vf2/VDnv37q0DBw5o4cKFqq6u1u7duzV//nxlZmZ6gx4AoHn5+fl+hzogkmRlZQUc6uCfgHrsvvzySz311FNavHixjjjiiHpr2b311lt+baNjx45avny57r//fg0dOlQJCQkaP368brjhhsAqB4A2LCkpyeeq/Y2pddN75I9Dh7YDmnnAEhx+a+n7MD4hwbt8DxoXULDLzMxUZmZmq3fas2dPPfnkk63eDgC0VQ6HQ4WFm9W3b59mL+1Y6/aoorI6TJVFr0CHttFyixcvVW7uTL977eITEjR/3kLFxETOXLZIFVALXXjhhaGqAwAQoLorSZSUVNS7//BLitFT55/8/Hx6hMIkI2OC0tPHqqysrMFjh79/JSkxMZFQ56eAWmnKlCmNdv23du4dAKBlDg9uhkGYC1SgQ9vNYei7eQ6Hw+dVJJzOmIg6GSHaBBTsBg8eXO92WVmZXnvtNV1yySVBLQpAZGt2mYJg87HsARBMgQxtN4ehb5gpoGCXnZ3d4L5Jkybpb3/7W9AKAhDZCgpatkwBEOkaG9o+nK+hwkPRUwcztXrA+uSTT9ZXX30VjFrahLD3dPhC7wdaISsrSy5X49coBaJdc8GMoW5EsoCCXVFRUb3bNTU1+uc//6mjjjoqqEVZFT0diHaR8mXGsgcA4FtAwW7kyJH1JpcahqEjjjhCc+fODXphVkRPR2i0eN2pULPoulaBLlMQbCx7AACNC+iT8fBFiB0Oh4488kjFxsYGtSgripSeDl+iufeDdafCr6llCvzV3BylprDsAQA0LqBPx27duoWqjjbB7J4OX6K994N1p8zR2DIF/mI5AwAIDb++zQ8fgj2czWbTm2++GbSirCoYPR11WtPjcaho7v0I9rpToca6VgCAUPPrG3369Ok+7//888/13HPP6aSTTgpqUVbW2p6OOvR4BHfdqVBjXSsAQDj4Fex8XUrsySef1AsvvKDLLrtMc+bMCXphgD/8XXcqUMHqEa1DTx0AIBwCHoPbt2+fZs+ercLCQi1YsEDnn39+KOoCAhLs4MQ6VQCAaBRQsPv88881Y8YMJSUl6cUXX1T37t1DVRcAAAACZPf3icuXL9eUKVM0atQorVq1ilAHAAAQYfzqsbv++uv17rvv6vLLL9fo0aP1xRdfNHjOwIEDg14cAAAA/Gcz/JhIdOKJJza9EZtNX3/9ddCKOtTevb+FZLuHS01NCOv+WouzYkOL9g0t2je0aN/Qon1DK5raN5zZoW5fzfGrx+6bb75pVTEAAAAIPb/n2AEAACCyEewAAAAsgmAHAABgEQQ7AAAAiyDYAQAAWATBDgAAwCIIdgAAABZBsAMAALAIgh0AAIBFEOwAAAAsgmAHAABgEQQ7AAAAiyDYAQAAWATBDgAAwCIIdgAAABZBsAMAALAIgh0AAIBFEOwAAAAsgmAHAABgEQQ7AAAAiyDYAQAAWATBDgAAwCJizC6gLXK73SovL2/VNpxOh6qqPK3aRlJSkhwOR6u2AQAAIgfBLswKClZpzpwc7dvnMq2GzMxM5efny2azqbBws/r1629aLaEQCcGZ0AwAMIPNMAzD7CKasnfvb2HZT2pqQsj353a7deKJx5oa6ux2u4qKitS5c2dJUnFxsWy2ONPqCTazg3P90Py55UJzsDidMaqqcptdhmXRvqFF+4ZWNLVvOLLD4ftqDsHuP8LxyykpKdFJJx0Xsu37IyUlRXv37q13X0lJhSL8beAXs4Oz1UNzMEXTB3c0on1Di/YNrWhq30gMdgzFwjLKy8tN7Q1NTk72hjpJSktLs0xohnlaMrUg0KkETB0ArINgZ7JtklLCuD9bGPcFoHVCPbXA6vNtERkCPTjx98CEAxLfCHYmS5GUanYRFhbO4ExoRjC53e6Qhjq73a68vDwlJiZKkvr27ROS/aBtC8XBCQckTSPYwdIIzohWoZ5awNSBptlsjR+q2WyNP077/VcoDk44IGkewQ4AgP9wOmMUH99ednvTffAJh81jLygoUFZWliRp8eKlysiYEKoSo0YoDk44IGkewQ5ASPmaX+NrDg3zZZoXzKkFTB3wzZ9QdziPx6Ps7Gy5XAdDTG7uTKWnj+X9DFOYGuw8Ho+uuuoqdevWTfPmzTOzFAAh4M/8GubL+I+pBaFls9kCDnWSVFpaquLiYu/t4uJilZWVKSUlnKfGRYfWHpxwQNI8U4NdXl6eCgsL1a1bNzPLABAC/syvYb4M0LZwcBJ6pgW7TZs26fXXX9fo0aPNKgFACPkzv4b5Moh0fZb2UUllSZPPqa2oDVM1QPNMCXa//vqrbr/9dj3yyCN6+umnzSgBAIBmlVSWNBvstD88tQD+CHuwq62tVU5OjqZOnaoTTzwx3LsHYKLD59cwXwYAgivswW7ZsmVq166dpkyZ4tfzY2MdLZrM2lJOZ+iaxOmMzDOknE6HrDDyFYnta5W2bYm634fdbldycrKkg3Nr6k2c9jG5vC232aHMeD+39bZvYum6gDmdjpB+n0SDcL2HI+F9G0m/67BX8vLLL6u4uFgDBgyQJB04cECS9Oabb6qwsLDB82tq/L/eYTCE8sLDgVy7MZyqqjyWmNMUie1rlbZtiaoqjzIzM5WXl1dvHp0/r2urbXYoM97Pbb3tbTabEhIOrthQWloq6T/z55obaq1seFdVlSdqLmQfKuF6D0fC+zaSftdhD3avvfZavdu33nqrJLHcCWBB+fn53jNegWhQUFCg7OzsesuXANEkcvoOAVhKUlJSk5dl8qXWbf6RN9q2rKws70LDQDQyPdjRUwdYk8PhUGHhZvXt20dpaWnNPr/W7VFFZXUYKgN8C9ZBRXxCAj3Vhzh0nm2rpzGy6HOzTA92AKyr7ioSJSUV9e73dUkxeup8C+qX4qH4gvRp8eKlys2d2eKh2PiEBM2ft1AxMXy9SmrRPFu0Du88ACF3eGgzDIKcP/hSDL+MjAlKTx+rsrKyRp/j68CkTmJiIqHuEMyzDT/efQAQofhSNIfD4WjyOq9OZ0xEnQUZqVoyzzZQzMttiGBngpANrfijDQy/mNa+baBtET7h+FI8FF+QCLZA59kGinm5vhHswoyhldCifWEVof5SPBRfkAiVxubZNqWpoe5DcSDiG8EuzBhaCS3aF1bSki9Fyf8vxjp8QSLUAnmPMQe3dQh2YRTuoRV/WGn4JdLa10ptC3MF+j7iixFou+xmF9CWHBxa+TxiVjS32vBLJLWv1doWABAd6LELs5YOrRwu0KEWX6x4RB8p7WvFtgUARD6CnUla+8XPUEvTaF8AQFvEUCwAAIBFEOwAAAAsgmAHAABgEQQ7AAAAiyDYAQAAWATBDgAAwCIIdgAAABZBsAMAALAIgh0AAIBFEOwAAAAsgmAHAABgEQQ7AAAAiyDYAQAAWATBDgAAwCJizC4AQPDZbDazS2iSzRbZNRqGYXYJANAiBDvAQpzOGMXHt5fdHrmhqU5CgtkVNFRQUKCsrCxJ0uLFS5WRMcHkigAgMAzFAhYSLaEuEnk8HmVnZ8vlcsnlcik3d6Y8Ho/ZZQFAQAh2gEXYbDZCXSuUlpaquLjYe7u4uFhlZWUmVgQAgSPYAQAAWARz7AAL67O0j0oqS8wuIyrUVtSaXQIAtBrBDrCwksoSgp2/9ptdAAC0HkOxAAAAFkGwAwAAsAiCHQAAgEUQ7AAAACyCkycAAJbhdrtVXl4e0n04nQ5VVYVu8eqkpCQ5HI6QbR/WRrADAFhCQcEqzZmTo337XGaX0iKZmZnKz8+XzWZTYeFm9evX3+ySEIUIdgCAqOd2u6M61NntduXl5SkxMVGS1LdvH3MLQtRijh0AIOqVl5dHbaiTpOTkZHXu3Nl7Oy0tTTYblwhE4OixM0Ew/lhttuBsxzCMVm8DAABEBoJdGDmdMYqPbx+0C7UnJLT8tQUFBcrKypIkLV68VBkZE4JSEwBEim2SUswuwk/0zSFYCHZhFMxQ1xoej0fZ2dlyuQ4OW+TmzlR6+lhLnYXV2jPjWnvWG2e1AeZLkZRqdhFAmBHswsRms0VEqJOk0tJSFRcXe28XFxerrKxMKSnRcmzbNDPPjOOsNgCAmQh2sBQzz4zjrDYAgNkIdibqs7SPSipLwr7f2orasO8zXMw8M87XWW0lJRWcoAIACBuCnYlKKktMCXbaH/5dAmidQOaN+jtHlLmggPUQ7GB54TozLjJmUMKKgj1vlLmggHUR7GB5nBmHaBbseaPMBQWsjStPAEAEC/a8Ua5wAFgbwQ4AAMAiTBmKXb9+vW655RY5nU7vfeeee64WLFhgRjkAEFVaM2+UvjnA2kwJdlu2bNEFF1ygBx54wIzdA0BUY94ogMaYMhS7ZcsWnXLKKWbsGgAAwLLC3mNXW1urrVu3Ki4uTsuXL5fH49Hw4cN1yy236Igjjgh3OQAAAJYR9h670tJSnXTSSUpPT9f69eu1atUq/fTTT8rJyQl3KQAAAJYS9h67lJQUrVy50ns7Li5OOTk5uvjii1VRUaH4+Ph6z4+NdchuD990X6czNE0S6asJOJ2OkP3s4eR0RtYq+k6nQ+G6olikv8eiUST8XYTjPR3O92moRNrffjBY4ffSEjEx0fe7NPtz4lBhr+Sbb77RunXrNGvWLO/aSdXV1bLb7WrXrl2D59fUNH9ZnGCqqnKHZLs2m00JCSHZdFBUVXlC9rOHkz+XUQqnqipP2K4VG+nvsWgUCX8X4XhPh/N9GiqR9rcfDFb4vbSU2X93gYqkesM+FJuYmKiVK1dq+fLlcrvdKioq0oIFC3ThhRf6DHYAAADwT9iDXZcuXbRs2TK99dZbGjRokCZPnqy+ffvqrrvuCncpAAAAlmLKoPCgQYO0atUqM3YNAFHJbrcrOTlZUisXGU5p6dLGAKJB5Mz2AwD4lJmZqby8vHrXeAUAXwh2ABDh8vPzlZiYaHYZAKIAwQ6WFLRhq0AwxIUQSEpK8q4gEAq17rZ75iVgRQQ7WA7DVrASh8OhwsLN6tu3j9LS0oK67Vq3RxWV1UHdJgBzEezCzOPxqLS0VJJUW1Er7TehiEoT9hlGDFvBavr16y9JKimp8Ov5TqfDr3Xd6KkDrIdgF0YFBQXKzs5WcXGx2aVYVqiHrQLBEBeCzd/3k2EQ2oC2Kuzr2LVlWVlZhLoQOzhs9bnp7cwQFwDADPTYhUkkHz3HJyRYaugy0GErX/wdympMJP++AQDWRbALo8WLlyo3d6bpvUmHik9I0Px5CxUTY723QmvCFUNZQHQy5Yz4YOCsegSJ9b7NI1hGxgSlp49VWVlZq7fV2h6lOomJiZYMdQDaHs6IBwh2YedwOJQShCMzpzNGVVXuIFQEANbAGfEAJ08AACwgks6IDwbOqkdLEewAAFEvUs6IDwbOqkdrMBQLALCEYJwR749gzXFuDD11aA2CHQDAUkIdjDhrHpGMoVgAAACLINgBAABYBMEOAADAIgh2AAAAFsHJE4DFeDwelZaWSpJqK2ql/SYXFC0qzS4AAFqPYAdYSEFBgbKzsy2xlhcAIHAEO8BCsrKy5HK5zC4DAGAS5tgBFsG6WsEVn5DAdUcBRB167A5js9n4gkTUWrr0Md1xxxyGYlspPiFB9937gGJi+IgE4FukXpvYZkR4itm797ew7Cc1NSEs+wEAANYSjqzib05hKPY/amrcZpcAAACiTKTlB8YZ/qO8PLrWhHA6Y1RVFVlvJiuhfUOL9g0t2je0aN/Qon1bhx47AAAAiyDYAQAAWATBDgAAwCIIdgAAABZBsAMAALAIgh0AAIBFEOwAAAAsgmAHAABgEQQ7AAAAiyDYAQAAWATBDgAAwCIIdgAAABZBsAMAALAIgh0AAIBFEOwAAAAsgmAHAABgETbDMAyziwAAAEDr0WMHAABgEQQ7AAAAiyDYAQAAWATBLkqVlpbqvPPO08cff2x2KZbyzTffaOrUqRo0aJCGDh2q3NxclZaWml2WZWzatEkXXXSR+vfvr6FDh+q+++7TgQMHzC7LUjwej6ZMmaJbb73V7FIsZ/369TrppJN0+umne//l5OSYXZYllJeXKzc3V4MHD9bAgQM1bdo0FRcXm11WVCLYRaFPP/1Ul1xyiX7++WezS7GUAwcO6JprrtHpp5+uDz74QOvWrVN5ebluu+02s0uzhNLSUl133XW67LLLVFhYqDVr1uiTTz7R448/bnZplpKXl6fCwkKzy7CkLVu26IILLtBnn33m/bdgwQKzy7KE6dOnq7KyUm+88YbefvttORwO3XnnnWaXFZVizC4AgVmzZo2WLFminJwczZgxw+xyLKWoqEgnnniibrjhBjkcDrVr106XXHKJcnNzzS7NEpKTk/Xhhx8qPj5ehmGovLxcVVVVSk5ONrs0y9i0aZNef/11jR492uxSLGnLli06//zzzS7Dcr766it98cUX3s8HSbrvvvu0d+9ekyuLTvTYRZlhw4bpjTfeUEZGhtmlWM5xxx2n5cuXy+FweO/bsGGDTj75ZBOrspa6D+3hw4dr/PjxSk1N1aRJk0yuyhp+/fVX3X777Vq4cKHi4uLMLsdyamtrtXXrVr3zzjsaMWKEzj77bN15551yuVxmlxb1vvzyS/Xs2VPPP/+8zjvvPA0bNkzz589Xamqq2aVFJYJdlElNTVVMDB2toWYYhh566CG9/fbbuv32280ux3Jef/11vffee7Lb7brxxhvNLifq1dbWKicnR1OnTtWJJ55odjmWVFpaqpNOOknp6elav369Vq1apZ9++ok5dkHgcrn07bff6qefftKaNWv00ksvac+ePZo9e7bZpUUlEgJwmIqKCs2ZM0dbt27Vs88+q969e5tdkuW0b99e7du3V05Oji666CK5XC4dccQRZpcVtZYtW6Z27dppypQpZpdiWSkpKVq5cqX3dlxcnHJycnTxxReroqLC2xuNwLVr106SdPvtt8vpdCo+Pl4333yzLr74Yv3+++/q2LGjyRVGF3rsgEP8/PPPmjx5sioqKrR69WpCXRBt3rxZY8aMUXV1tfe+6upqxcbGMnTYSi+//LI++eQTDRgwQAMGDNC6deu0bt06DRgwwOzSLOObb77Rgw8+qEMv1lRdXS273e4NJmiZnj17qra2VjU1Nd77amtrJUlcHCtwBDvgP1wul6688kr1799fTzzxBJP6g6x37946cOCAFi5cqOrqau3evVvz589XZmYmX4yt9Nprr2nz5s0qLCxUYWGhxo0bp3HjxnF2bBAlJiZq5cqVWr58udxut4qKirRgwQJdeOGFvH9baciQIerevbtuu+02/f777yotLdVDDz2kc889l57QFiDYAf/x4osvqqioSK+++qrOOOOMemtVofU6duyo5cuX6/vvv9fQoUM1ZcoUDRkyhOVkEBW6dOmiZcuW6a233tKgQYM0efJk9e3bV3fddZfZpUW92NhYrVixQg6HQ+np6UpPT1eXLl10//33m11aVLIZ9HMCAABYAj12AAAAFkGwAwAAsAiCHQAAgEUQ7AAAACyCYAcAAGARBDsAAACLINgBAABYBMEOAFrop59+MrsEAKiHYAegxUaOHKm+fft6r9Bx2mmn6YILLlBBQYHZpflUWFgYtCuJbNy4UVdffXVQtlXHMAw999xzmjx5sk4//XQNHDhQl156qV566aWAt/Xwww9rypQpQa0PQOSLMbsAANHtnnvu0aRJkyQdvCj6O++8ozlz5qisrEzXXnutydXVN2DAAH322WdB2VZ5eXnQL1B+yy236LPPPtNtt92mIUOGKDY2Vu+9957uvfdeffLJJ1xiCUCz6LEDEDTt2rXT6NGjNXv2bOXl5amiokKSVFJSoltuuUVDhw7VsGHDdNddd3kf+/jjjzVy5Eg9+uijOuusszRo0CBNnz7d+7gkFRQUaOzYserfv7/Gjx+vtWvXeh+bMmWKlixZossuu0ynnXaaJkyYoC+//FKzZs1S//79NXLkSL3zzjveffXu3VuStGvXLvXu3VsFBQUaOXKkzjjjDE2dOlW//PKLpIO9Z48//rjGjx+vAQMGaODAgZo1a5YOHDigjz/+WHfffbeKiop0+umna8+ePTpw4ID+9re/afjw4Ro4cKCmTJmiL7/80ltn7969NXfuXA0ePFjXX399g7Z78803tWHDBj3zzDM699xz1aFDB8XGxmrUqFF64okn9NJLL+ndd9/1/sy33nqrRowYoXPOOUcVFRXavHmzJk+erNNOO02XXnqpdu3aVW/7H374oTIzMzVgwACNHTu2XhveeuutuvHGG3X++efrj3/8o37++ecWvwcAmMwAgBYaMWKE8cILLzS4f8+ePUavXr2Md9991/B4PMZFF11k5OTkGL/99ptRWlpqXHfddcaMGTMMwzCMjz76yOjVq5dx9913G/v37zd++uknY+jQocayZcsMwzCMF154wejfv7/x4YcfGm632/jwww+N/v37G6+//rphGIZx+eWXG0OGDDG+//57o6qqyvjTn/5knHzyycYbb7xhVFdXG/PmzTNGjhxZb1+GYRg7d+40evXqZUybNs1wuVzG3r17jXHjxhl33nmnYRiG8c9//tMYOnSo8eOPPxqGYRj/+te/jEGDBhnPP/+8t64RI0Z4f+bZs2cb48ePN3766SejqqrKePrpp43TTz/d2L17t2EYhtGrVy8jKyvLqKysNFwuV4M2mz17tjFlypRG2/r//b//Z9x6663en/mss84yfvnlF8PlchmlpaXGgAEDjGXLlhnV1dVGYWGh0b9/f+Pyyy83DMMwvv76a6Nfv37Ghg0bDLfbbXz66afG4MGDjffee8+779NOO8349ttvfdYGIHrQYwcg6JKSkiQdHK786quvtHXrVt19992Kj49XUlKSZs+erX/+858qKyvzvuaGG25Q+/bt1aNHDw0ePFg//vijJOmFF17QJZdcojPPPFMOh0NnnnmmLrnkEq1atcr72vT0dPXs2VPt2rXTgAEDdNxxx+ncc89VbGyszj77bO3evbvRWrOystSpUyelpKRo5MiR3hMizj77bK1evVrHHHOMSktLVVZWpsTERO3Zs6fBNqqqqrRu3TrNmjVLPXr0ULt27XTllVfquOOO07p167zPGzdunOLi4tSpU6cG2yguLlZqamqjdaalpam4uNh7++yzz1bnzp3VqVMnvfPOO4qLi1NWVpZiY2N1xhlnaPLkyd7nrlq1SqNGjdLo0aPlcDjUv39/XXzxxVq5cqX3Oaeddpp69erlszYA0YM5dgCCrrS0VJJ05JFHateuXfJ4PBo+fHi957Rr1047d+703j401MTGxnrnr5WUlKh79+71Xnv00Udr48aN3tuJiYne/zscDh1xxBHe23a7vcm5cCkpKd7/x8TEeJ9rGIYeeughvf3220pOTlafPn1UU1Pjc1sul0s1NTU6+uijG9R56JBoWlpao3WkpqZqx44djT6+a9cu9ezZ0+e29uzZo6OOOko2m8173x/+8Ad9/fXXkqTdu3fro48+0oABA7yPezwe/eEPf/CrNgDRg2AHIOg2btyoDh066NRTT9V3332n9u3b6+OPP5bD4ZB08CSLnTt3qkePHvr000+b3NbRRx/dYM7Xzp076wXBQwNNsDz44IMqKirSxo0bFR8fL0kaP368z+empKTI6XRq586dOv744733//zzzxo5cqRfdY4ZM0bTp0/Xt99+650HWGfbtm3atm2bpk2b5nNbXbp00e7du1VbWyu7/eBATN1cwbrHL7zwQt17773e+4qLi+uF1FC0IYDwYygWQNBUV1dr/fr1WrRokWbMmKH4+Hj169dPPXr00Lx58/T777/rwIEDuv/++3XVVVfJ4/E0u83MzEw999xz2rRpkzwejz766CPvkiChVFFRIafTKYfDoaqqKj355JP67rvvVFNTI0lyOp3av3+/3G637Ha7Jk+erEWLFmnHjh2qrq7WM888o3/9618aO3asX/sbMWKExo8frz//+c966623VFlZqcrKSr355puaNm2axo4dqxEjRvh87ciRI2UYhh5++GFVV1frq6++qrfkTGZmptatW6cPPvhAtbW1+umnn3T55ZfrySefbH1DAYgo9NgBaJW7775b9913n6SDYee4447TPffco4yMDEkHhzeXLVum+fPna/To0aqqqlK/fv301FNPyel0Nrv9888/XxUVFZo7d66KiorUuXNn5ebmauLEiaH8sXTzzTdrzpw5GjJkiDp06KAzzjhDF1xwgb777jtJ0sCBA3XkkUdq4MCBWrVqlXJzc/Xwww/rqquuUnl5uXr37q0nnnhCxx57rN/7fOCBB7R69Wo9/vjjmj17tiSpZ8+emj59undJGV86deqkJ554Qn/5y1/01FNPqUePHkpPT/fOUzz11FO1aNEiLVq0SDfddJPi4uI0btw4zZw5sxUtBCAS2YymJp8AAAAgajAUCwAAYBEEOwAAAIsg2AEAAFgEwQ4AAMAiCHYAAAAWQbADAACwCIIdAACARRDsAAAALIJgBwAAYBEEOwAAAIsg2AEAAFgEwQ4AAMAi/j9hgnkUm9jMTwAAAABJRU5ErkJggg==" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 10 }, { "cell_type": "code", "id": "sa21", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:50:24.128634Z", "start_time": "2026-06-09T18:50:24.073121Z" } }, "source": [ "passed, q_val, n_val, pval = uniChi(pmod, w)\n", "print(f'\\nPortmanteau test: Q = {q_val:.2f}, df = {n_val}, p-value = {pval:.3f}')\n", "print(f'Result: {\"PASS\" if passed else \"FAIL\"} (threshold p > 0.05)')" ], "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "pval: 0.5837471368049063\n", "alpha: 0.05\n", "pr: 0.4162528631950937\n", "q: 16.129289646802743\n", "\n", "Portmanteau test: Q = 16.13, df = 18, p-value = 0.584\n", "Result: PASS (threshold p > 0.05)\n" ] } ], "execution_count": 11 }, { "cell_type": "markdown", "id": "sa22", "metadata": {}, "source": "## Step 5 — Automated Model Selection with `selpmod`\n\n`selpmod` searches a grid of ARMA orders and selects the best seasonal ARIMA structure by AIC and BIC. We fix:\n- `diff=[1]` — both the regular difference ($d=1$) and seasonal difference ($d_s=1$) are set to 1\n- `per=[12]` — seasonal period 12\n\nand search over regular orders `nc[0]` ($n_c$), `nd[0]` ($n_d$) ∈ {0, 1, 2} and seasonal orders `nc[1]` ($n_{c,s}$), `nd[1]` ($n_{d,s}$) ∈ {0, 1, 2} — 81 combinations in total. All models are trained on the log-transformed series `ly`; `estimate` applies the double differencing internally.\n\nThe search is expected to confirm **ARIMA$(0,1,1)\\times(0,1,1)_{12}$** as the BIC-optimal model." }, { "cell_type": "code", "id": "sa23", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:50:28.078379Z", "start_time": "2026-06-09T18:50:27.967742Z" } }, "source": [ "sarima_spec = {\n", " 'models': [{\n", " 'type': 'arma',\n", " 'nc': [0, 1, 2],\n", " 'nd': [0, 1, 2],\n", " 'diff': [1],\n", " 'per': [12]\n", " }]\n", "}\n", "result = selpmod(sarima_spec, ly)\n", "aicmod = result['arma']['aicmod']\n", "bicmod = result['arma']['bicmod']\n", "aicstat = result['arma']['aicstat']\n", "bicstat = result['arma']['bicstat']" ], "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ " [skipped — cannot reshape array of size 0 into shape (0,newaxis)]\n", "arma: Combination 2 out of 81 total [nc=[0, 0], nd=[0, 1]]. aic = -6.2000, bic = -6.1780\n", "arma: Combination 3 out of 81 total [nc=[0, 0], nd=[0, 2]]. aic = -6.1496, bic = -6.1058\n", "arma: Combination 4 out of 81 total [nc=[0, 0], nd=[1, 0]]. aic = -6.0932, bic = -6.0713\n", "arma: Combination 5 out of 81 total [nc=[0, 0], nd=[1, 1]]. aic = -6.1226, bic = -6.0787\n", "arma: Combination 6 out of 81 total [nc=[0, 0], nd=[1, 2]]. aic = -6.1614, bic = -6.0955\n", "arma: Combination 7 out of 81 total [nc=[0, 0], nd=[2, 0]]. aic = -6.1919, bic = -6.1480\n", "arma: Combination 8 out of 81 total [nc=[0, 0], nd=[2, 1]]. aic = -6.0242, bic = -5.9583\n", "arma: Combination 9 out of 81 total [nc=[0, 0], nd=[2, 2]]. aic = -6.0574, bic = -5.9696\n", "arma: Combination 10 out of 81 total [nc=[0, 1], nd=[0, 0]]. aic = -6.1351, bic = -6.1132\n", "arma: Combination 11 out of 81 total [nc=[0, 1], nd=[0, 1]]. aic = -6.1708, bic = -6.1269\n", "arma: Combination 12 out of 81 total [nc=[0, 1], nd=[0, 2]]. aic = -6.1434, bic = -6.0776\n", "arma: Combination 13 out of 81 total [nc=[0, 1], nd=[1, 0]]. aic = -6.1995, bic = -6.1556\n", "arma: Combination 14 out of 81 total [nc=[0, 1], nd=[1, 1]]. aic = -6.0432, bic = -5.9773\n", "arma: Combination 15 out of 81 total [nc=[0, 1], nd=[1, 2]]. aic = -6.1663, bic = -6.0785\n", "arma: Combination 16 out of 81 total [nc=[0, 1], nd=[2, 0]]. aic = -6.0439, bic = -5.9781\n", "arma: Combination 17 out of 81 total [nc=[0, 1], nd=[2, 1]]. aic = -6.0757, bic = -5.9880\n", "arma: Combination 18 out of 81 total [nc=[0, 1], nd=[2, 2]]. aic = -6.2630, bic = -6.1533\n", "arma: Combination 19 out of 81 total [nc=[0, 2], nd=[0, 0]]. aic = -6.1375, bic = -6.0936\n", "arma: Combination 20 out of 81 total [nc=[0, 2], nd=[0, 1]]. aic = -6.2008, bic = -6.1349\n", "arma: Combination 21 out of 81 total [nc=[0, 2], nd=[0, 2]]. aic = -6.0408, bic = -5.9530\n", "arma: Combination 22 out of 81 total [nc=[0, 2], nd=[1, 0]]. aic = -6.1193, bic = -6.0535\n", "arma: Combination 23 out of 81 total [nc=[0, 2], nd=[1, 1]]. aic = -6.1608, bic = -6.0730\n", "arma: Combination 24 out of 81 total [nc=[0, 2], nd=[1, 2]]. aic = -6.0472, bic = -5.9374\n", "arma: Combination 25 out of 81 total [nc=[0, 2], nd=[2, 0]]. aic = -6.2139, bic = -6.1261\n", "arma: Combination 26 out of 81 total [nc=[0, 2], nd=[2, 1]]. aic = -6.2278, bic = -6.1180\n", "arma: Combination 27 out of 81 total [nc=[0, 2], nd=[2, 2]]. aic = -6.0738, bic = -5.9421\n", "arma: Combination 28 out of 81 total [nc=[1, 0], nd=[0, 0]]. aic = -6.2204, bic = -6.1985\n", "arma: Combination 29 out of 81 total [nc=[1, 0], nd=[0, 1]]. aic = -6.1369, bic = -6.0930\n", "arma: Combination 30 out of 81 total [nc=[1, 0], nd=[0, 2]]. aic = -6.1094, bic = -6.0435\n", "arma: Combination 31 out of 81 total [nc=[1, 0], nd=[1, 0]]. aic = -6.0764, bic = -6.0325\n", "arma: Combination 32 out of 81 total [nc=[1, 0], nd=[1, 1]]. aic = -6.1465, bic = -6.0807\n", "arma: Combination 33 out of 81 total [nc=[1, 0], nd=[1, 2]]. aic = -6.0624, bic = -5.9746\n", "arma: Combination 34 out of 81 total [nc=[1, 0], nd=[2, 0]]. aic = -6.1454, bic = -6.0796\n", "arma: Combination 35 out of 81 total [nc=[1, 0], nd=[2, 1]]. aic = -6.1220, bic = -6.0342\n", "arma: Combination 36 out of 81 total [nc=[1, 0], nd=[2, 2]]. aic = -6.0448, bic = -5.9350\n", "arma: Combination 37 out of 81 total [nc=[1, 1], nd=[0, 0]]. aic = -6.2373, bic = -6.1934\n", "arma: Combination 38 out of 81 total [nc=[1, 1], nd=[0, 1]]. aic = -6.0072, bic = -5.9414\n", "arma: Combination 39 out of 81 total [nc=[1, 1], nd=[0, 2]]. aic = -5.8950, bic = -5.8072\n", "arma: Combination 40 out of 81 total [nc=[1, 1], nd=[1, 0]]. aic = -6.1176, bic = -6.0517\n", "arma: Combination 41 out of 81 total [nc=[1, 1], nd=[1, 1]]. aic = -6.1539, bic = -6.0661\n", "arma: Combination 42 out of 81 total [nc=[1, 1], nd=[1, 2]]. aic = -5.8548, bic = -5.7450\n", "arma: Combination 43 out of 81 total [nc=[1, 1], nd=[2, 0]]. aic = -6.1701, bic = -6.0823\n", "arma: Combination 44 out of 81 total [nc=[1, 1], nd=[2, 1]]. aic = -6.2367, bic = -6.1270\n", "arma: Combination 45 out of 81 total [nc=[1, 1], nd=[2, 2]]. aic = -5.9904, bic = -5.8587\n", "arma: Combination 46 out of 81 total [nc=[1, 2], nd=[0, 0]]. aic = -6.1023, bic = -6.0364\n", "arma: Combination 47 out of 81 total [nc=[1, 2], nd=[0, 1]]. aic = -5.9658, bic = -5.8780\n", "arma: Combination 48 out of 81 total [nc=[1, 2], nd=[0, 2]]. aic = -6.0150, bic = -5.9053\n", "arma: Combination 49 out of 81 total [nc=[1, 2], nd=[1, 0]]. aic = -6.1212, bic = -6.0334\n", "arma: Combination 50 out of 81 total [nc=[1, 2], nd=[1, 1]]. aic = -6.0758, bic = -5.9660\n", "arma: Combination 51 out of 81 total [nc=[1, 2], nd=[1, 2]]. aic = -6.1456, bic = -6.0140\n", "arma: Combination 52 out of 81 total [nc=[1, 2], nd=[2, 0]]. aic = -6.1295, bic = -6.0198\n", "arma: Combination 53 out of 81 total [nc=[1, 2], nd=[2, 1]]. aic = -5.9871, bic = -5.8554\n", "arma: Combination 54 out of 81 total [nc=[1, 2], nd=[2, 2]]. aic = -6.0077, bic = -5.8540\n", "arma: Combination 55 out of 81 total [nc=[2, 0], nd=[0, 0]]. aic = -6.0893, bic = -6.0454\n", "arma: Combination 56 out of 81 total [nc=[2, 0], nd=[0, 1]]. aic = -6.0608, bic = -5.9950\n", "arma: Combination 57 out of 81 total [nc=[2, 0], nd=[0, 2]]. aic = -6.1597, bic = -6.0719\n", "arma: Combination 58 out of 81 total [nc=[2, 0], nd=[1, 0]]. aic = -5.9871, bic = -5.9213\n", "arma: Combination 59 out of 81 total [nc=[2, 0], nd=[1, 1]]. aic = -5.8516, bic = -5.7638\n", "arma: Combination 60 out of 81 total [nc=[2, 0], nd=[1, 2]]. aic = -5.9507, bic = -5.8409\n", "arma: Combination 61 out of 81 total [nc=[2, 0], nd=[2, 0]]. aic = -6.1213, bic = -6.0335\n", "arma: Combination 62 out of 81 total [nc=[2, 0], nd=[2, 1]]. aic = -6.1689, bic = -6.0592\n", "arma: Combination 63 out of 81 total [nc=[2, 0], nd=[2, 2]]. aic = -5.9676, bic = -5.8359\n", "arma: Combination 64 out of 81 total [nc=[2, 1], nd=[0, 0]]. aic = -6.1259, bic = -6.0601\n", "arma: Combination 65 out of 81 total [nc=[2, 1], nd=[0, 1]]. aic = -6.0394, bic = -5.9516\n", "arma: Combination 66 out of 81 total [nc=[2, 1], nd=[0, 2]]. aic = -6.0922, bic = -5.9824\n", "arma: Combination 67 out of 81 total [nc=[2, 1], nd=[1, 0]]. aic = -6.0985, bic = -6.0107\n", "arma: Combination 68 out of 81 total [nc=[2, 1], nd=[1, 1]]. aic = -6.0761, bic = -5.9664\n", "arma: Combination 69 out of 81 total [nc=[2, 1], nd=[1, 2]]. aic = -6.0735, bic = -5.9418\n", "arma: Combination 70 out of 81 total [nc=[2, 1], nd=[2, 0]]. aic = -6.0759, bic = -5.9661\n", "arma: Combination 71 out of 81 total [nc=[2, 1], nd=[2, 1]]. aic = -6.0690, bic = -5.9373\n", "arma: Combination 72 out of 81 total [nc=[2, 1], nd=[2, 2]]. aic = -6.0336, bic = -5.8799\n", "arma: Combination 73 out of 81 total [nc=[2, 2], nd=[0, 0]]. aic = -6.0625, bic = -5.9748\n", "arma: Combination 74 out of 81 total [nc=[2, 2], nd=[0, 1]]. aic = -6.0737, bic = -5.9640\n", "arma: Combination 75 out of 81 total [nc=[2, 2], nd=[0, 2]]. aic = -6.0883, bic = -5.9566\n", "arma: Combination 76 out of 81 total [nc=[2, 2], nd=[1, 0]]. aic = -5.9566, bic = -5.8469\n", "arma: Combination 77 out of 81 total [nc=[2, 2], nd=[1, 1]]. aic = -6.0779, bic = -5.9462\n", "arma: Combination 78 out of 81 total [nc=[2, 2], nd=[1, 2]]. aic = -6.1239, bic = -5.9703\n", "arma: Combination 79 out of 81 total [nc=[2, 2], nd=[2, 0]]. aic = -5.9611, bic = -5.8294\n", "arma: Combination 80 out of 81 total [nc=[2, 2], nd=[2, 1]]. aic = -5.9663, bic = -5.8127\n", "arma: Combination 81 out of 81 total [nc=[2, 2], nd=[2, 2]]. aic = -6.1972, bic = -6.0216\n" ] } ], "execution_count": 12 }, { "cell_type": "code", "id": "sa24", "metadata": { "ExecuteTime": { "end_time": "2026-06-09T18:50:31.532460Z", "start_time": "2026-06-09T18:50:31.294225Z" } }, "source": "def fmt_sarima(mod):\n nc = int(mod.nc[0]) if len(mod.nc) > 0 else 0\n nc_s = int(mod.nc[1]) if len(mod.nc) > 1 else 0\n nd = int(mod.nd[0]) if len(mod.nd) > 0 else 0\n nd_s = int(mod.nd[1]) if len(mod.nd) > 1 else 0\n return f'ARIMA({nd},1,{nc})×({nd_s},1,{nc_s})₁₂'\n\nprint(f'Best AIC model: {fmt_sarima(aicmod)}')\nprint(f'Best BIC model: {fmt_sarima(bicmod)}')\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(2,1,0)×(2,1,1)₁₂\n", "Best BIC model: ARIMA(0,1,1)×(0,1,0)₁₂\n", "\n", "=== Best AIC model ===\n", "Parameter estimates — ARMA model\n", "--------------------------------\n", " Param Value ±2σ 95% CI\n", " ----------------------------------------\n", " c(2)1 -0.1164 7.8310 ( -7.9474, 7.7146)\n", " d(1)1 0.1023 0.1886 ( -0.0862, 0.2909)\n", " d(1)2 -0.0603 0.1819 ( -0.2422, 0.1216)\n", " d(2)1 0.0406 7.8782 ( -7.8376, 7.9189)\n", " d(2)2 -0.0471 1.3384 ( -1.3854, 1.2913)\n", "\n", " Residual std σ = 0.042018\n", " Residual var σ² = 0.001765\n" ] }, { "data": { "text/plain": [ "
" ], "image/png": "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" }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "
" ], "image/png": "iVBORw0KGgoAAAANSUhEUgAAA9gAAAH/CAYAAACsHHXWAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjkuMiwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8hTgPZAAAACXBIWXMAAA9hAAAPYQGoP6dpAAD4S0lEQVR4nOzdd3gUVfcH8O+WbHrvCSShh96DNAlFpFcF6VJVQBReFUEF5VUpoq8FAREQQQSBAIogAhJAFAglSO+hJiG9J5tkd35/5Jc1IW2zubOzd/Z8nicPZHd25+Tk3D25uzN3FIIgCCCEEEIIIYQQQkiNKKUOgBBCCCGEEEIIkQOaYBNCCCGEEEIIIQzQBJsQQgghhBBCCGGAJtiEEEIIIYQQQggDNMEmhBBCCCGEEEIYoAk2IYQQQgghhBDCAE2wCSGEEEIIIYQQBmiCTQghhBBCCCGEMEATbEIIIYQQQgghhAGaYBNCiIXbsGEDFAqF4UutVqNWrVqYOHEiHj16VO3nCw8PR3h4OLP4jhw5Uiq+ir6OHDnCbJ81cffuXUNM77//frnbTJo0ybCNtbt48SIUCgVsbGwQFxdX7jbh4eGlftd2dnZo0qQJPvzwQ+Tn55fallX+27RpA4VCgeXLl5v8s0khJCQEL774okmPrSxnhBBCLANNsAkhhBPfffcdTpw4gYMHD2Lq1KnYsmULunbtiuzsbEnjatOmDU6cOFHu1/bt26HRaFCnTh20bNlS0jif5OzsjA0bNkCv15e6PSsrC9u3b4eLi4tEkVmWtWvXAgAKCwuxcePGCrerW7duqd97gwYN8N5772HmzJnlbl+T/J8/fx7R0dEAgHXr1lX3RyKEEEJEQxNsQgjhRLNmzfDUU0+he/fuWLhwId566y3ExMRg9+7dksbl4uKCp556qsxX69at8cknn0ClUmHnzp1wd3ev8b50Oh20Wi2DqIGRI0fi3r17+OOPP0rd/tNPP0Gn02HQoEFM9sMzrVaLzZs3o2XLlggMDMT69esr3Nbe3t7wux84cCAiIiLQoEEDfP/998jLyyuzfU3yXzzp79+/P65du4a///7bxJ+QEEIIYYsm2IQQwqmnnnoKAHDv3j0AQF5eHubNm4c6depAo9EgMDAQM2bMQFpaWpXPlZ+fjw8//BChoaGwtbWFt7c3Jk6ciMTERJPjmz59OqKiorBmzRq0atWq1H3x8fF46aWXUKtWLcMn3B988AEKCwsN2xQfSrxs2TJ8+OGHqFOnDmxtbREZGQkA+OWXX9CxY0c4ODjA2dkZzzzzDE6cOGF0fI0aNUKnTp3KTBrXr1+PYcOGwdXVtcxjfvrpJ/Tu3Rv+/v6wt7dH48aN8fbbb5c5iuDFF1+Ek5MTLl++jJ49e8LR0RHe3t6YOXMmcnJyjI5Rart370ZycjKmTJmCCRMm4MaNGzh+/LhRj1Wr1WjVqhXy8/PLrUFT8g8U1fmPP/6Itm3b4n//+5/hMcYoPp3hxx9/xNy5c+Hv7w8nJycMHDgQjx8/RmZmJqZNmwYvLy94eXlh4sSJyMrKKrN/Y8ZZQUEB3nrrLfj5+cHBwQFdunRBVFRUuXEZMx4IIYTwgSbYhBDCqVu3bgEAvL29IQgChgwZguXLl2PcuHHYu3cv5syZg++//x49evSo9FNfvV6PwYMHY8mSJRg9ejT27t2LJUuW4ODBgwgPD0dubm61Y1u1ahXWr1+PV199FWPHji11X3x8PMLCwvD7779jwYIF+O233zB58mQsXrwYU6dOLfNcX375JQ4fPozly5fjt99+Q2hoKH788UcMHjwYLi4u2LJlC9atW4fU1FSEh4cbPQEEgMmTJ2P37t1ITU0FAFy/fh1///03Jk+eXO72N2/eRL9+/bBu3Trs378fr7/+OrZt24aBAweW2bagoAD9+vVDz549sXv3bsycORPffPMNRo4caXR8Ulu3bh1sbW0xZswYw3nR1TkkOyYmBm5ubvD29i73/urmHwB27tyJ1NRUTJo0CQ0aNECXLl3w008/lZkIV2b+/PlISEjAhg0b8Omnn+LIkSMYNWoUhg8fDldXV2zZsgVvvfUWNm3ahPnz5xseV51xNnXqVCxfvhzjx4/Hzz//jOHDh2PYsGGGn7VYdccDIYQQCycQQgixaN99950AQDh58qRQUFAgZGZmCr/++qvg7e0tODs7C/Hx8cL+/fsFAMKyZctKPfann34SAAhr1qwx3NatWzehW7duhu+3bNkiABAiIiJKPfb06dMCAGHlypXVivevv/4SbGxshK5duwr5+fll7n/ppZcEJycn4d69e6VuX758uQBAuHz5siAIghATEyMAEOrVq1fqeXQ6nRAQECA0b95c0Ol0htszMzMFHx8foVOnTpXGV/y8n3zyiZCZmSk4OTkJK1asEARBEN58802hTp06gl6vF2bMmCFU1ib1er1QUFAgHD16VAAg/PPPP4b7JkyYIAAQvvjii1KP+eijjwQAwvHjxyuN0RLcvXtXUCqVwgsvvGC4rVu3boKjo6OQkZFRattu3boJTZs2FQoKCoSCggIhLi5OWLBggQBAWL16dalta5r/Hj16CHZ2dkJqaqogCP+Oj3Xr1lX5M0VGRgoAhIEDB5a6/fXXXxcACLNmzSp1+5AhQwQPDw/D98aOs6tXrwoAhNmzZ5fabvPmzQIAYcKECYbbjB0PgiAIAISFCxdW+XMSQgiRDn2CTQghnHjqqadgY2MDZ2dnDBgwAH5+fvjtt9/g6+uLw4cPA0CZ1Ymff/55ODo6ljnPtaRff/0Vbm5uGDhwIAoLCw1frVq1gp+fn2H1b71eX+p+nU5X5rni4uLw3HPPwdvbG9u2bYONjU25++vevTsCAgJKPV/fvn0BAEePHi21/aBBg0o9z/Xr1xEbG4tx48ZBqfy3jTk5OWH48OE4efKk0YdhOzk54fnnn8f69esNi3hNnDixwtWr79y5g9GjR8PPzw8qlQo2Njbo1q0bAODq1atlth8zZkyp70ePHg0AhsPcq6NkrqrzVd7vyRjfffcd9Ho9Jk2aZLht0qRJyM7Oxk8//VRm+8uXL8PGxgY2Njbw9/fHokWLMG/ePLz00ksV7qO6+Y+JiUFkZCSGDRsGNzc3AEU17uzsbPRh4gAwYMCAUt83btwYQNE53U/enpKSYvh03NhxVvz7ffL3P2LECKjV6lK3VXc8EEIIsWzqqjchhBBiCTZu3IjGjRtDrVbD19cX/v7+hvuSk5OhVqvLHIqrUCjg5+eH5OTkCp/38ePHSEtLg0ajKff+pKQkAMCiRYvwwQcfGG4PDg7G3bt3Dd/n5+dj+PDhSE5OxpEjR+Dn51fh/vbs2VPu5Lvk/oqV/DkBGH6WJ28HgICAAOj1eqSmpsLBwaHc53/S5MmT0aVLF3z00UdITEys8BJKWVlZ6Nq1K+zs7PDhhx+iYcOGcHBwwIMHDzBs2LAyh9Kr1Wp4enqWuq04J5X9Pspz9+5d1KlTp1qPKfbk78kYer0eGzZsQEBAANq2bWs4v7hXr15wdHTEunXrMGXKlFKPqVevHrZu3QpBEHDv3j18+OGHWLx4MVq0aIEXXnihwn0Zm3+g6FxrQRDw3HPPlTrnedCgQdi8eTOuXbuG0NDQKn8+Dw+PUt8X135Ft+fl5cHJycnocVb875NjoLyaqO54IIQQYtlogk0IIZxo3Lgx2rVrV+59np6eKCwsRGJiYqk//gVBQHx8PNq3b1/h83p5ecHT0xP79+8v935nZ2cAwLRp00p98mdra1tqu1dffRUnTpzAypUr0bFjx0r316JFC3z00Ufl3h8QEFDq+yc/zSyeoJR3TebY2FgolcpqrVjeuXNnNGrUCIsWLcIzzzyD2rVrl7vd4cOHERsbiyNHjhg+tQZQ4SJyhYWFSE5OLjWhio+PL/UzGCsgIACnT5+u1mOKPfl7MsahQ4cMi+eVF+vJkydx5coVNGnSxHCbnZ2doT7bt2+P7t27o2nTpnj99dcxYMAAODk5lbsvY/NfPOkHgGHDhpW7zfr167Fs2TKjf87qMnacFecsPj4egYGBhu2Ka6Kk6o4HQgghlo0m2IQQIgM9e/bEsmXL8MMPP2D27NmG2yMiIpCdnY2ePXtW+NgBAwZg69at0Ol06NChQ4XbBQQEVPjH/tq1a7FmzRpMnDgRr7zySqWxDhgwAPv27UO9evVMunRXo0aNEBgYiB9//BFvvPGGYQKenZ2NiIgIw8ri1fHuu+9ix44dmDFjRoXbFO/nyQnrN998U+FjNm/ejFmzZhm+//HHHwEA4eHh1YpPo9FU+OaKGNatWwelUomdO3eWWc374cOHGDduHNavX4/ly5dX+Byenp5YsmQJJk6ciK+++grz5s2rcFtj8v/777/j4cOHmDFjBp577rky98+cORMbN27Exx9/XOYwbFaMHWfFv9/Nmzejbdu2hu22bdtWZmXwmo4HQgghloUm2IQQIgPPPPMMnn32WcydOxcZGRno3LkzLly4gIULF6J169YYN25chY994YUXsHnzZvTr1w+vvfYawsLCYGNjg4cPHyIyMhKDBw/G0KFDK3x8VFQUZs6cCT8/P4wfPx4nT54sd7t69erB29sbixYtwsGDB9GpUyfMmjULjRo1Ql5eHu7evYt9+/Zh9erVqFWrVoX7UyqVWLZsGcaMGYMBAwbgpZdeglarxSeffIK0tDQsWbLE+MT9v7Fjx5ZZ7fxJnTp1gru7O15++WUsXLgQNjY22Lx5M/75559yt9doNPj000+RlZWF9u3b4++//8aHH36Ivn37okuXLtWO0VySk5Px888/49lnn8XgwYPL3eZ///sfNm7ciMWLF1d4aDMAjB8/Hp999hmWL1+OGTNmwMXFpdztjMn/unXroFarMX/+/HLf6HnppZcwa9Ys7N27t8K4a8rYcda4cWOMHTsWn3/+OWxsbNCrVy9cunQJy5cvL5ODmo4HQgghloUWOSOEEBlQKBTYvXs35syZg++++w79+vUzXEro8OHDlR4mrFKp8Msvv2D+/PnYuXMnhg4diiFDhmDJkiWws7ND8+bNK933vn37oNVqER8fj+7du6Njx47lfu3duxdA0bnTZ86cQe/evfHJJ5+gT58+hk9EW7VqZdSneKNHjzZco3nkyJGYOHEiXFxcEBkZKdrk1dPTE3v37oWDgwPGjh2LSZMmwcnJqdwFvwDAxsYGv/76Kw4ePIjBgwfjyy+/xNSpU7F9+3ZR4mPlhx9+gFarrXRxsmnTpiExMRF79uyp9LmUSiWWLFmClJQUfP755ybHlJSUhD179mDAgAEVHkUxbtw42NvbV+syYtVVnXG2bt06zJkzBxs2bMCgQYOwbds2RERElKlvFuOBEEKI5VAIgiBIHQQhhBAiJy+++CJ27NhRrWszE0IIIYR/9Ak2IYQQQgghhBDCAE2wCSGEEEIIIYQQBugQcUIIIYQQQgghhAH6BJsQQgghhBBCCGGAJtiEEEIIIYQQQggDNMEmhBBCCCGEEEIYoAk2IdW0YcMGKBQKnDlzptz7BwwYgJCQEPMGVY49e/Zg4MCB8PX1hUajgYeHB3r27InNmzejoKCgzPZz5sxBy5YtAfz7MxZ/2dnZwc/PD927d8fixYuRkJBQrVg2btwIb29vZGZmMvnZxHL37l0oFAps2LCB6fP+8ccfcHJywqNHj5g+LyGEWAK59kVjtGnTBq+99hqAosvzleydjo6OCAkJwaBBg/Ddd99Bq9Wy/HEqNGnSJPTp08cs+ypPcT3cvXuX2XO++OKLFlFDxrh8+TKmT5+Ojh07wtHREQqFAkeOHCmzXVxcHN5991107NgRXl5ecHFxQdu2bbFmzRrodLpS265btw6BgYHIzs42009BaoIm2ITIjCAImDhxIgYNGgS9Xo/PPvsMhw4dwvfff4+WLVti+vTpWLlyZZnH7dy5E8OHDy9123fffYcTJ07g4MGD+Prrr9GqVSssXboUjRs3xqFDh4yKJycnB/Pnz8fcuXPh7OzM5GfkTc+ePREWFob58+dLHQohhFgdU/tiVWJiYhAdHV2qd9rb2+PEiRM4ceIEfv31VyxatAiOjo6YOnUq2rZti4cPH7L80cqIjo7G999/jw8//FDU/VSmf//+OHHiBPz9/SWLQUpnzpzB7t27DW/gVOTs2bPYuHEjevbsiY0bNyIiIgLdunXDK6+8gqlTp5badsKECXB0dMSyZcvEDp+wIBBCquW7774TAAinT58u9/7+/fsLwcHB5g2qhKVLlwoAhA8++KDc++Pi4oQ///yz1G1RUVECAOHSpUuCIFT+M967d0+oXbu24OzsLMTHx1cZz8qVKwU7OzshNTW10u30er2Qk5NT5fOJKSYmRgAgfPfdd0yeLz8/XygoKBAEQRB27NghqFQq4f79+0yemxBCLIUc+6Ixli1bJvj4+Ag6nU4QBEGYMGGC4OjoWO62v//+u2BjYyN06NCh2vupjhEjRghPPfWUqPuoSE5OjqDX60V57gkTJkhaQ9VRXA+CIAjbt28XAAiRkZFltktJSRHy8/PL3D5jxgwBQJm/F5YvXy64uroK2dnZzGMmbNEn2ITISEFBAZYuXYrQ0FC899575W7j5+eHLl26lLotIiICjRo1QtOmTavcR1BQED799FNkZmbim2++qXL7VatWYeDAgXBzcyt1u0KhwMyZM7F69Wo0btwYtra2+P777wEAN2/exOjRo+Hj4wNbW1s0btwYX3/9dZnnvnz5Mnr37g0HBwd4e3tjxowZ2Lt3b5nDsUJCQvDiiy+WeXx4eDjCw8Mrjf/WrVuYOHEiGjRoAAcHBwQGBmLgwIG4ePFiqe2OHDkChUKBTZs24T//+Q8CAwNha2uLW7duAQAGDhwIJycnfPvtt1XmjBBCCBum9MVVq1ahZcuWcHJygrOzM0JDQ8s9AikiIgJDhw6FUln1n9O9e/fG1KlTcerUKRw7dsxw++HDhxEeHg5PT0/Y29sjKCgIw4cPR05OTrV/1sePH2PXrl0YN25cqduL+9MPP/yAOXPmwM/PD/b29ujWrRuio6PLPM+ZM2cwaNAgeHh4wM7ODq1bt8a2bdtKbVN8GPiBAwcwadIkeHt7w8HBAVqttsJDxNevX4+WLVvCzs4OHh4eGDp0KK5evVpm/xs2bECjRo0M/X/jxo1G54BlPk1lTD0AgLu7O2xsbMrcHhYWBgBljnYYM2YMMjIysHXr1poHSURFE2xCTKTT6VBYWFjmS5Dw0vJnzpxBSkoKBg8eDIVCYfTjIiIiyhweXpl+/fpBpVKV+iOhPA8fPsTFixfRvXv3cu/fvXs3Vq1ahQULFuD3339H165dceXKFbRv3x6XLl3Cp59+il9//RX9+/fHrFmz8MEHHxgeGxcXh27duuH69etYtWoVNm7ciMzMTMycOdPon8MYsbGx8PT0xJIlS7B//358/fXXUKvV6NChA65fv15m+3nz5uH+/ftYvXo19uzZAx8fHwCARqNBp06dsHfvXqbxEUKIpZBDX9y6dSumT5+Obt26YdeuXdi9ezdmz55d5tzXhw8fIioqqlq9c9CgQQBg6J13795F//79odFosH79euzfvx9LliyBo6Mj8vPzq/FTFjlw4AAKCgoq7Lnz58/HnTt3sHbtWqxduxaxsbEIDw/HnTt3DNtERkaic+fOSEtLw+rVq/Hzzz+jVatWGDlyZLnrk0yaNAk2NjbYtGkTduzYUe6EEQAWL16MyZMno2nTpti5cye++OILXLhwAR07dsTNmzcN223YsAETJ05E48aNERERgXfffRf//e9/cfjw4Sp//prkU6/Xl1u7T349eW60GA4fPgy1Wo2GDRuWut3Pzw+hoaH0dwQPpP4InRDeFB8KV9mXVIcxbd26VQAgrF692ujHnD9/XgAgnD171nBbVYf7CYIg+Pr6Co0bN670uX/66ScBgHDy5Mky9wEQXF1dhZSUlFK3P/vss0KtWrWE9PT0UrfPnDlTsLOzM2z/5ptvCgqFQrh8+XKZx+OJw7GCg4OFCRMmlImhW7duQrdu3QzfG3OIeGFhoZCfny80aNBAmD17tuH2yMhIAYDw9NNPV/jYd955R1AqlUJWVlaF2xBCCG/k1BdnzpwpuLm5Vbnd559/Lri7uxtOAxKEyg8RFwRBuHr1qgBAeOWVVwRBKDp1CIBw/vx5o2KryiuvvCLY29uXOUy7uD+1adOm1H13794VbGxshClTphhuCw0NFVq3bl3q5xIEQRgwYIDg7+9vOPy5+Hc+fvz4MnEU3xcTEyMIgiCkpqYK9vb2Qr9+/Uptd//+fcHW1lYYPXq0IAhFh1YHBARUGGdVNVSTfE6YMKHKGgZQ6m8GY1R2iHh5fv/9d0GpVJb6+6KkMWPGCL6+vtWKgZifWrSZOyEyt3HjRjRu3LjM7bNnz8aDBw8qfawgCCa/C6pUKo0+/MgYERERCAkJQZs2bar1OMGITyRiY2MBwPAp7pN69OgBd3d3w/d5eXn4448/8Morr8DBwQGFhYWG+/r164cVK1bg5MmT6Nu3L44ePYpmzZqhSZMmpZ5z1KhR+P3336v1s1SmsLAQy5Ytww8//IBbt26VWmm2vEPbKvs0w8fHB3q9HvHx8ahXrx6zGAkhxBLIoS+GhYVhxYoVGDVqFF544QV07twZXl5eZbaLiIjA4MGDoVYb/6f0k32zVatW0Gg0mDZtGqZPn46uXbuibt26JsceGxsLb2/vCj+pHz16dKn7goOD0alTJ0RGRgIoOiXq2rVrWL58OQCU6cG//vorrl+/Xup3bMwn+CdOnEBubm6ZU7Vq166NHj164I8//gAAXL9+HbGxsZgzZ065cVa1KnlN8vn+++8bdQScmIu1njt3DiNGjMBTTz2FxYsXl7uNj48PEhISUFhYWK3aI+ZFh4gTYqLGjRujXbt2Zb5cXV2rfOz3338PGxsbk74mTZpU4fMGBQUBKFrZ1Fg7duyo1iFuAJCdnY3k5GQEBARUul1ubi4AwM7Ortz7n1xhNDk5GYWFhfjqq6/K/Nz9+vUDACQlJRm29fX1LfOc5d1WE3PmzMF7772HIUOGYM+ePTh16hROnz6Nli1bGn6+yn6mkorzUN7jCCGEd3Loi+PGjcP69etx7949DB8+HD4+PujQoQMOHjxo2CY+Ph5//fVXtXvnvXv3AMDQO+vVq4dDhw7Bx8cHM2bMQL169VCvXj188cUX1XreYrm5uRX2W6DoEOPybktOTgZQdA43ALzxxhtlcjx9+nQA//bgYsasFF78/OVtGxAQYLi/+N+K4qxKTfIZFBSEVq1aVflVv379Kp/LFNHR0XjmmWfQoEED7Nu3D7a2tuVuZ2dnB0EQkJeXJ0ochA1664MQCQwcOBCnT5826bHlvZNerF27dvDw8MDPP/+MxYsXV3m+2dWrV3H16lWsW7euWjHs3bsXOp2uygXCimNNSUkpt7E+GZ+7uztUKhXGjRuHGTNmlPucderUAQB4enoa/hgoKT4+vsxtdnZ25V5/NCkpqdJ8AsAPP/yA8ePH4+OPPy7z2CcXbgPK/kwlpaSkAKj8d0gIIdbIUvoiAEycOBETJ05EdnY2jh07hoULF2LAgAG4ceMGgoODsWvXLjg6OuKZZ56pVpy//PILAJTqnV27dkXXrl2h0+lw5swZfPXVV3j99dfh6+uLF154oVrP7+XlhXPnzlV4f3n9MT4+Hp6enobHA0VriQwbNqzc52jUqFGp743JZ/Hzx8XFlbkvNjbWsN/i7SqK0xim5nPSpEmGhVYr061bt3KvaV0T0dHR6NWrF4KDg3HgwIFK35BKSUmBra0tnJycmMZA2KIJNiES8PT0NDQSlmxsbDB37lzMnTsX//3vf7FgwYIy2yQkJODmzZvo3LkzIiIiEBAQgKeeesrofdy/fx9vvPEGXF1d8dJLL1W6bWhoKADg9u3bRq1Q7uDggO7duyM6OhotWrSARqOpcNtu3bph+fLluHLlSqnDxMtbXTMkJAQXLlwodduNGzdw/fr1Kie7CoWizDvJe/fuxaNHj6r9TvadO3fg6enJ/FN2QgjhnaX0xZIcHR3Rt29f5OfnY8iQIbh8+TKCg4MRERGBAQMGVPgpY3kOHjyItWvXolOnTmWu5AEAKpUKHTp0QGhoKDZv3oxz585Ve4IdGhqKLVu2ID09vdxJ2pYtW0odfn3v3j38/fffGD9+PICiyXODBg3wzz//lHlTuSY6duwIe3t7/PDDD3j++ecNtz98+BCHDx/Gc889Z9i/v79/hXFWddRcSdXNp1SHiJ8/fx69evVCrVq1cPDgwVKnzZXnzp07ZU6NI5aHJtiEyMybb76Jq1evYuHChYiKisLo0aNRu3ZtpKen49ixY1izZg0++OADdO7cGTt27MCwYcMqfAf60qVLhpUzExIS8Oeff+K7776DSqXCrl274O3tXWksHTp0gL29PU6ePGlYPbUqX3zxBbp06YKuXbvilVdeQUhICDIzM3Hr1i3s2bPHsJLo66+/jvXr16Nv375YtGgRfH198eOPP+LatWsASl8mY9y4cRg7diymT5+O4cOH4969e1i2bFmV8QPAgAEDsGHDBoSGhqJFixY4e/YsPvnkE9SqVcuon6ekkydPolu3btVa4Z0QQkjNVKcvTp06Ffb29ujcuTP8/f0RHx+PxYsXw9XVFe3bt0dycjKOHj1a4aWS9Ho9Tp48CQDQarW4f/8+fvvtN2zbtg2NGzcudbmr1atX4/Dhw+jfvz+CgoKQl5eH9evXAwB69epV7Z8zPDwcgiDg1KlT6N27d5n7ExISMHToUEydOhXp6elYuHAh7OzsMG/ePMM233zzDfr27Ytnn30WL774IgIDA5GSkoKrV6/i3Llz2L59e7XjcnNzw3vvvYf58+dj/PjxGDVqFJKTk/HBBx/Azs4OCxcuBFDUt//73/9iypQphjjT0tLw/vvvG3WIeE3yGRISgpCQkGr/bOXJycnBvn37AMBQC0ePHkVSUpLhTRug6Jzz4rg++ugj3Lx5s9SK6vXq1Sv1d4per0dUVBQmT57MJE4iIilXWCOER1WtsN2/f3/JVkst6eeffxb69+8veHt7C2q1WnB3dxe6d+8urF69WtBqtcKtW7cqXNnyyRVhNRqN4OPjI3Tr1k34+OOPhYSEBKPjGDdunNCkSZMytwMQZsyYUe5jYmJihEmTJgmBgYGCjY2N4O3tLXTq1En48MMPS2136dIloVevXoKdnZ3g4eEhTJ48Wfj+++8FAMI///xj2E6v1wvLli0T6tatK9jZ2Qnt2rUTDh8+bNQq4qmpqcLkyZMFHx8fwcHBQejSpYvw559/lnls8Sqt27dvL/dnKs53RESEEVkjhBB+yKUvCoIgfP/990L37t0FX19fQaPRCAEBAcKIESOECxcuCIIgCGvXrhUcHByE7OzsMs//5ErU9vb2QlBQkDBw4EBh/fr1hn0UO3HihDB06FAhODhYsLW1FTw9PYVu3boJv/zyi0k/n06nE0JCQoTp06eXur24P23atEmYNWuW4O3tLdja2gpdu3YVzpw5U+Z5/vnnH2HEiBGCj4+PYGNjI/j5+Qk9evQotRJ7Zb/zJ1cRL7Z27VqhRYsWgkajEVxdXYXBgweXuRJI8XYNGjQQNBqN0LBhQ2H9+vXChAkTqqwh1vk0VfHfEuV9lfwZqlp9/8krmvzxxx9lrvpCLJNCECS8OCEhRDLLli3D8uXLERcXB5VKJdp+zpw5g/bt2+PkyZPo0KGDaPspNm3aNGzZsgXJycmVHmJubu+99x42btyI27dv08qfhBDCqX79+sHe3h4RERFSh1KuTz/9FB999BEePXoEe3t7AMCRI0fQvXt3bN++3XA4NuHPuHHjcOfOHfz1119Sh0KqQBNsQojoRo4ciezsbPz6669Mn3fRokUICAhA3bp1kZWVhV9//RVr167Fu+++i0WLFjHdV02kpaWhbt26+OqrrzBmzBipwyGEECJTeXl5aNy4MWbMmIE33ngDAE2w5eD27dto3LgxDh8+XO45/MSy0McohBDRffrpp1i3bh0yMzOZLhBiY2ODTz75BA8fPkRhYSEaNGiAzz77DK+99hqzfbAQExODefPmYfTo0VKHQgghRMbs7OywadMmREdHSx0KYej+/ftYsWIFTa45QZ9gE0IIIYQQQgghDCir3oQQQgghhBBCCCFVoQk2IYQQQgghhBDCAE2wCSGEEEIIIYQQBmiRsyro9XrExsbC2dkZCoVC6nAIIYTIiCAIyMzMREBAAJRKes+7pqhnE0IIEYuxPZsm2FWIjY1F7dq1pQ6DEEKIjD148AC1atWSOgzuUc8mhBAitqp6Nk2wq1B8SaEHDx7AxcVF4mgI4cO8efOwePFiqcMgxOJlZGSgdu3aTC9fZ82oZxNSPdSvCTGesT2bJthVKD7EzMXFRfJmnZSUBC8vL0ljkBvKqTj0er3k40VuqFbZs6Sc0uHMbFDPljfKKXvUr9mjOhWHJeW1qp5NJ3xxxMPDQ+oQZIdyKg47OzupQ5AdqlX2KKdETFRf7FFO2aN+zR7VqTh4yit9gs2RtLQ0roqLB5RTcWi1WqlDkB1ea1Wn06GgoEDqMMqVlpYGNzc3s+xLpVJBrVbTJ9VWhNcxa8kop+xRv2aPtzq15D5dkjl7to2NDVQqlcmPpwk2RxwdHaUOQXYop+KwsbGROgTZ4bFWs7Ky8PDhQwiCIHUo5RIEAampqWbbn4ODA/z9/aHRaMy2TyIdHsespaOcskf9mj2e6tTS+3RJ5uzZCoUCtWrVgpOTk0mPpwk2R7RaLWxtbaUOQ1Yop+LQ6XRShyA7vNWqTqfDw4cP4eDgAG9v7wo/uf3rLwU6dza+sVd3+6pirMk71MYSBAH5+flITExETEwMGjRoQJfksgK8jVkeUE7Zo37NHi91ykOfLsmcPTsxMREPHz5EgwYNTNonTbA5Yo6isjaUU3HQYbDs8VarBQUFEAQB3t7esLe3L3eb998HPvgAWLIEmDu36udcuhR4+21g4cKix9aUuZo1ANjb28PGxgb37t1Dfn4+nfdoBXgbszygnLJH/Zo9XuqUhz5dkjl7tre3N+7evYuCggKT9klvoXOEPvFgj3IqDmrY7PFaqxXVwvHjRU0bKGrGS5dW/jzFTRsoetzx4+LFJhZef4fENPT7Zo9yyh71a/Z4q1NL7tMlmbNWa7ovvirAyuXn50sdguxQTsVBh5yxJ7da7dKl6B3xYpU175JNGyh6XJcuNY9Br9fX/EkIqYDcxqwloJyyR/2aPbnUqSX06ZJ46tk0weaIg4OD1CHIDuVUHLRoCntyrNW5c6tu3uU1bWMOUytPSEgIQkND0apVKzRp0gSrV6+ucvtLly6ZtjNi9eQ4ZqVGOWWP+jV7cqpTqfv0119/bbivvCMDLLVP0znYHElPT7eYC6zLBeVUHHTZD/bkWqvFTbi4ORf/O3cu26ZdbMeOHWjWrBkePHiA5s2b4+mnn0aLFi1q9qSElEOuY1ZKlFP2qF+zJ7c6lbpPd+3aFS1atIBOp+Pm8Hs+oiQAIKvBaikop+KoaLEMYjo512p575B7erJv2iXVrl0bDRs2xNWrVzF06FA0b94czZo1w5o1a8rdPj4+HiNGjEBYWBhatGiBBQsWACg6ZG3mzJkIDQ1Fy5Yt0bZtW+Tl5bELlHBLzmNWKpRT9qhfsyfHOrWEPt2mTRtu+jR9gs2RpKQkWQ5aKVFOxZGbmyt1CLIj91p98h3ylJR/72PdtAHg4sWLuHbtGrZt24bQ0FDs2rULCQkJaNu2LVq1aoWwsLBS20+YMAHvvPMOnn76aRQWFmLAgAHYtWsXQkJC8Mcff+DKlStQKpVIT0+n61wTAPIfs1KgnLJH/Zo9udap1H1627ZtSE1N5aJP0wSbI56enlKHIDuUU3HQJYjYs4ZanTsXWLasdNP28GDbtJ977jnY2dnBwcEB69atw8svv4wvvvgCAODj44Nhw4bhjz/+KNW4s7OzcfjwYTx+/NhwW1ZWFq5du4YePXqgoKAAkyZNQvfu3dG/f39uDmEj4rKGMWtulFP2qF+zJ+c6NXefXr9+PV566SV88cUXUKvV3PRpmmBzJCUlRdaDVgqUU3HQIbLsWUOtLl1aumkDRd8vXcqueRef2wUAhYWFePnll8tcjuPJ7/V6PRQKBU6fPl3ugkCXL1/G0aNHERkZiXnz5uHYsWOoX78+m4AJt6xhzJob5ZQ96tfsyblOzd2nAeCll16CQqGATqeDWl00dbX0Pk1vs3PExcVF6hBkh3IqDltbW6lDkB251+qTC6V4ePz7f2Ouv2kKpVKJXr16Gc7nSkxMxK5du9CjR49S2zk7O6Nr165YUuIEtNjYWDx8+BCJiYnIzs5G79698fHHHyMkJARXrlxhHyzhjtzHrBQop+xRv2ZPrnUqRZ8GYOjTSqWSmz5NE2yO5OTkSB2C7FBOxVFQUCB1CLIj51otbxXS5GTjr79pKr1ejy+//BIXLlxAixYt0L17d7zzzjtlzusCgM2bN+Pq1ato3rw5mjdvjuHDhyM5ORkPHjzAM888gxYtWhgWSuvbty/bQAmX5DxmpUI5ZY/6NXtyrFOp+jQAQ59u2bIlN32aDhHnCF2rkD3KqTjoHFT25FqrlV3io7JLg5ji7t27pb5XKBTw9fXFrl27qtzez88PP/74Y7nbnT171rSAiKzJdcxKiXLKHvVr9uRWp1L2aQCGPq3T6aBSqSrc3pL6NI0qQgghkjDm+pnlXRpErMPQCCGEEPIv6tOmoQk2RwoLC6UOQXYop+IQBEHqEGRHbrV6/Ljx188sr3kfPy5ufITUlNzGrCWgnLJH/Zo9udQp9WnT0QSbI3QpBfYop+J48hAeUnNyq9UuXYCFC4v+b8z1M0s274ULix5fU0+uQkoIS3Ibs5aAcsoe9Wv25FKnltCnS+KpZ9M52BzJzMyU7bL/UqGciiM/P1/qEGSH11qt7NOR998HevUyvgnPnQt07syuaev1erOef6jX6822LyI9XsesJaOcskf9mj051Wm5ffruXeDIESA9HXB1BcLDgZAQAOz7dEnm7tk1QRNsjri7u0sdguxQTsUhl3dvLQlvtWpjYwOFQoHExER4e3tX+M5zu3ZAdS7DWt3tKyMIglkO5RMEAfn5+UhMTIRSqYRGoxF9n0R6vI1ZHlBO2aN+zZ7c6tQwWT59GvjgA2DfPqDkm+cKBdCvX9HH1u3bizK5Bvg62oIm2BxJSUmBl5eX1GHICuVUHHmsZkDEgLdaValUqFWrFh4+fFjuqqCWoLwVScXk4OCAoKAgbt6BJzXD25jlAeWUPerX7MmyTnfuBEaNAso74kEQgL17gYMHgS1bgGHDRAmhsLCQmxXaaYLNEdkNVgtAORWHvb291CHIDo+16uTkhAYNGtB1VlH0hoNarebqHDJSMzyOWUtHOWWP+jV7sqvT06dLT65r1wYmTQIaNgRu3ADWrQMePiy6f9SootXN2rdnHgYvk2uAJthcSUpKkt+glRjlVBy5ublShyA7vNaqSqWy2MO6eM0p4QPVF3uUU/aoX7Mnuzr94IN/J9fjxwPffguUPNVp/nxgyhRg06ai7RYtAvbsMWlXv/zyCxYsWFDqtsTERCQnJyMzM5ObSTYdp8YRNzc3qUOQHcqpOGxtbaUOQXaoVtmjnBIxUX2xRzllj/o1e7Kq07t3i865Boo+uX5ycg0Ufb92LVCrVtH3e/cC9+6ZtLtBgwbh/Pnzhq8jR47AwcEBK1asgFpt3OfCer1e8kVFaYLNkaysLKlDkB3KqTjokGD2qFbZo5wSMVF9sUc5ZY/6NXuyqtMjR/5d0GzSpLKT62IaTdH9QNH2R47UeNd6vR5jxoxBz549MWXKFOh0OixfvhxhYWFo06YN+vXrhwcPHgAA3n//fYwbNw7Dhg1Dq1atEBcXh02bNqF58+Zo0aIF+vfvj0ePHgEATp48ibZt26JVq1Zo1qwZVq1aVeNYn0SHiHOE3mVkj3IqDks9JJhnVKvsUU6JmKi+2KOcskf9mj1Z1Wl6+r//b9iw8m1L3l/ycSZauHAhUlJSsGvXLgDA1q1bcePGDZw4cQIqlQqbNm3CzJkz8fPPPwMAIiMjce7cOfj4+ODSpUt48803cfbsWQQGBuKjjz7CtGnTsHfvXixevBj/+c9/MHr0aABAampqjWN9ElefYB87dgwDBw5EQEAAFAoFdu/eXeVjjh49irZt28LOzg5169bF6tWrxQ9UJDqdTuoQZIdyKg6pD82RI6pV9iin4rH2fg1QfYmBcsoe9Wv2ZFWnrq7//v/Gjcq3LXl/yceZ4Oeff8a6desQERFhuLTlzz//jEOHDhk+fV62bBnulTgUfcCAAfDx8QFQNNkeMGAAAgMDAQDTp0/H4cOHIQgCunfvjg8//BCLFi3C8ePHRbmsGlcT7OzsbLRs2RIrVqwwavuYmBj069cPXbt2RXR0NObPn49Zs2YhIiJC5EjFIZS85hxhgnJKeEG1yh7lVDzW3q8Bqi8xUE4JD2RVp+HhRde5BoD168u/TBdQdPv69UX/VyiKHmei69evY/Lkydi2bRsCAgIMtwuCgHfffddwfvbFixdx/vx5w/1OTk6lti151Y6S/3/99dfx66+/wt/fH/Pnz8f06dNNjrUiXB0i3rdvX/Tt29fo7VevXo2goCB8/vnnAIDGjRvjzJkzWL58OYYPHy5SlOLRVHTeAzEZ5VQcdMgZe1Sr7FFOxWPt/Rqg+hID5ZQ96tfsyapOQ0KAfv2KFi578KBotfC1a0ufi52fX3T7w4dF3/fvDwQHm7S7zMxMDB06FB988AG6dOlS6r6BAwfiq6++wpAhQ+Dh4YGCggJcunQJrVu3LvM8PXv2xNKlSxEfHw8/Pz+sXr0aPXv2hEKhwPXr19GoUSPUrVsXtWvXxvz5802KtTJcTbCr68SJE+jdu3ep25599lmsW7cOBQUF5S71rtVqodVqDd9nZGSIHqexsrOz5XVehwWgnJYmCALy8vJQWFgIZ2dnPHjwAPfv30dOTg7y8/MRHByMZs2aITIyEjdv3kR+fj4KCgrQrVs3tGnTBj/++CNiY2Nx+vRpfPLJJxg4cCBCQ0OxadMm5OXlwcbGBjY2Nnj22Wfh6emJP/74Aw4ODnB0dISjoyNCQkKgUqmg1+up6T+BapU9yqnlMKVfA9SzrQ3ltDSdToesrCw4OTlBEARER0cjKyvLMC769++PzMxM7Nq1C1qtFvn5+VCr1ZgxYwbu3r2LiIgIQ7/29PTEpEmTcPXqVRw9ehQ2NjbQaDSoVasWunfvjtu3b+PBgweGfu3j4wMvLy/odDoolcpSnxBaO9nV6cKFwMGDRRPpTZuAyMjS18Fev/7fybVGAzxxma3q+Prrr3H9+nV8++23+Pbbb0vd98svvyA1NRXh4eFQKBQoLCzE5MmTy51gN23aFIsXLzb0ldq1a2PNmjUAgK+++gqRkZHQaDRQqVT49NNPTY63IrKeYMfHx8PX17fUbb6+vigsLERSUhL8/f3LPGbx4sX44IMPytyen5+P5ORkuLu7IyUlBV5eXkhKSoKrq6thIOl0OgiCAI1Gg+zsbLi6uiI1NdWwrbu7OzIyMmBvb4+CggIoFAqo1Wrk5ubC2dkZaWlphm09PDyQlpYGR0dHaLVaqFQqaDQapKenw8HBAenp6YZtPT09kZKSAhcXF+Tk5Bj+ECksLISdnR0yMzPLxO3m5oasrCyT41apVNBqtXBycio3bicnJ+Tl5UGlUkGhUKCgoMAQt6enJ5KTkw3/urq6GuIWBAE6nQ52dnbIysqCm5tblXHb2NggNzcXLi4uZeJOT0+Ho6Mj8vPzy43b3d3dEHdqaiqcnZ2Rl5dnuBRAcdwZGRnw8PBAcnJyqd99Tk4ONBoN9Ho9dDodbG1tkZ2dXW7cmZmZsLe3R2FhoclxOzo6lvrdVzfuhIQECIKAR48eITMzEzqdDu3atcPVq1fx888/o7CwENnZ2QgLC0P//v1x9+5dnD9/Hq6urlCr1cjOzkZeXh4cHBzQtGlT5Ofnw9vbGxqNBjqdDk2aNEHTpk1x7tw59OzZ01APTZo0QVJSEhwdHZGUlAQbGxskJiYiPj4eqamp0Gq1yM7OxrRp0yAIAj766CPD8wYHB6N3795QqVS4ceMGfH194eHhAYVCYcj3kzVbMt+mjDWlUlluvk0Za6xeI4pzV1Xc+fn59Bph5GuEi4sLUlJSKn2NMHWsGfsaIatPOmrAlH4NUM+W03iknl027ocPH6KwsBAPHz5EdnY2GjRoAC8vL6xduxaxsbEQBAFarRbz58+HSqVCVFQU1Go1nJycoFarkZGRAYVCgYCAALi5uRl6dnHcnTp1QnR0NLp37w4HBwfk5uZCo9GgZcuWSE1NhaOjI/R6PQRBQGxsLGJiYpCWloa8vDw0btwY3bt3x88//4xz587B398fGo0Gzz77LHx8fJCYmIj8/Hz4+fkZnsdaerYgCCgsLDQqbil7tlKpNIyF4ktbqVQqFBYWwsbGBgUFBVCr1dC1bg3l5s1QjBkDRX5+0WR60aIyr7uCRgPdpk1Qtm0LfWFhmUO0K3z+/3+TRhAEvPnmm3jrrbfK3ValUmHmzJmYNWuW4TD84on2woULUVhYaBhParUao0ePxtixY0sdsl9YWIgvv/yywufX6/VQKpWGnOTn5yMnJ6faPVshcHqigEKhwK5duzBkyJAKt2nYsCEmTpyIefPmGW7766+/0KVLF8TFxcHPz6/MY8p7N7x27dpIT0+Hi4sL05+humR34XoLINecCoJgmMDGxcUhKSkJo0ePxp07d/DNN9/A3d0dHh4eqF27Nvr164f09HSkpKTA2dkZzs7O0Gg0NXo3+pVXXjH5sgd6vR6ZmZlIS0tDamoqsrOz0blzZ8TExCAiIgIpKSkoKChAaGgoJk+ejAcPHiAhIQG+vr7w9fWt8JMu3sm1VqVkCTnNyMiAq6urRfQYsYjVrwHq2dZGrjnNzc1FXFwc4uLiEB8fj/r166Nly5ZYtWoVYmNj4enpCU9PT3Tr1g1BQUGIiYmBra0tnJyc4OTkBKXS9CWVatKvgaIxWNyvU1NTUatWLdSuXRtbtmzBrVu3kJGRAVtbW7z44ouoX78+Tpw4AXd3d/j5+cHV1VWWn3zzUqd5eXmIiYlBnTp1YGdnV/UDTp8umljv3fvvpbuAonOu+/cv+uS6fXvR4q3saCbWKsqNsT1b1p9g+/n5IT4+vtRtCQkJUKvV8PT0LPcxtra2FntYBw+DlTdyyKler0dcXBzu3buH+/fv49lnn4WdnR3+97//wcfHB/7+/qhVqxb0ej3q1KmDJUuWlGnGrq6ucK3hio8l2dvbm/xYpVJpiCe4xDk8derUwRtvvAFBEJCRkYGcnBwARZdXOHHiBB4/foy8vDx069YNAwYMQExMDJRKJQIDAw2fEvBMDrVqaSinlsOUfg1Qz7Y2cshpVlYW7t+/j3v37sHe3h7h4eE4ePAg/vnnH/j7+xsmngAwderUcvtXnTp1mMVTk34NFI3B4je4Sxo1ahSAoklRYmIi3N3dodfrcf36dTx+/BjJycnQaDR46623YGtri+vXryMoKEgWk2451Gm52rcH9uwB7t4Fjh4tuhSXq2vRgmYmnnNdHTx9gML/X52V6NixI/bs2VPqtgMHDqBdu3Zc/ZKK8fKOGE94zGlmZibu3bsHT09P+Pv747PPPkNqaiqCgoIQHBwMlUoFe3t7fPTRRzV6V7smcnNzRXtuhUJR6g2BFi1aoEWLFhAEAVlZWYZDhC5fvoyoqCjk5eXB398fAwYMQIMGDZCTkwMHBwfR4hMLj7Vq6SinlkNu/Rqg+hIDbznV6XSIjY1FQkIC2rZtiwsXLmDTpk3w9vZGcHCwYYXkAQMGYNCgQWUeb443h8Xs10DRpKjkStAvvvgigKJDdR8/fgxnZ2ckJibi4MGDePz4MRwcHNCwYUOMHj0aWq0WarWauzVZeKvTah/MHBJS9GVm5vwEu6YHeHM1wc7KysKtW7cM38fExOD8+fPw8PBAUFAQ5s2bh0ePHmHjxo0AgJdffhkrVqzAnDlzMHXqVJw4cQLr1q3Dli1bpPoRakSM67RZOx5yWnw+yKlTp3Ds2DHD4dC9e/eGv78/pk6dCmdn5zKTaakm1wAk+URJoVDA2dnZ8P2AAQPQv39/pKam4sGDB/Dw8IAgCFi8eDEcHR1Rr1491K9fH82aNePiD3geapU3lFPxWHu/Bqi+xGDpOS3+ozw3Nxdbt27F7du3oVQqERISgtatW6NRo0ZYtGhRmU+Nra1fA0VvHhRfo9jHxwf/+c9/UFBQgEePHhkWK4yKisK+ffsQEhKC+vXro0mTJhWux2BJLL1OixW/cZGfn1/jIxnMwZxHI+b//+XITH1zh6sJ9pkzZ9C9e3fD93PmzAEATJgwARs2bEBcXBzu379vuL9OnTrYt28fZs+eja+//hoBAQH48ssvub3kR0ZGBjeDlheWmFO9Xo+7d+/ixo0buHnzJuzs7DB16lR4enqiT58+qFevXqlPYFke2s1KfkXXSTQzhUIBDw8PeHh4GG575513EBMTg9u3b+PPP/9EkyZNkJqaiqNHj6JJkyaoW7euRR5Sbom1yjvKqXisvV8DVF9isMScZmRk4Nq1a7h58yZu3bqF8ePHGyaEffr0gb+/v+GQZ0s8ncFS+jVQ9Gl3SIlPRrt06YKGDRvi9u3buHXrFpRKJfz9/XHs2DGoVCo0adLE4uoBsMw6LY9arYaDgwMSExNhY2Mj6Rs9xigsLDTL32d6vR6JiYlwcHAweX/cLnJmLpa0AE1eXp5xixAQo1lKTrVaLW7duoUmTZrg9u3b+OGHH9CoUSM0aNAADRo0sMhJdGVmzZqFL7/8UuowjJaSkoLIyEhcuXIFeXl5aN++PYYMGQJBECzmXDBLqVU5sYScWlKPkQNLyqcl1JfcWEJOBUHA48ePodfrERAQgFWrVkGn06FBgwZo2LAhgoKCuDqkmbd+DQCnTp1CdHQ07ty5Ax8fH4waNQqBgYEW07MtoU6NlZ+fj5iYGOj1eqlDqZI5f79KpRJ16tQps2o4LXImQwUFBdwMWF5ImVNBEBAVFYVLly7h5s2bcHd3R1BQEOrVq4cFCxZY/DuJleHhhbokDw8PDB8+HMOGDUNcXJzh8LSff/4Z9+/fR4sWLdCqVSu4ublJFiONf/Yop0RMVF/sSZnTx48fG3p2RkYGnnnmGQQEBOCll16ifm1mHTp0QIcOHZCbm4sbN27A3d0dWVlZWL58ORo3boyWLVuiQYMGkr3RwdPY12g0aNCggUUdyVCR7OxsODo6mmVfGo2mRuOaJtgcsYR35eTG3DnVarW4ePEiPD09UadOHdy7dw9169bFoEGD4O3tLVlcpEjx9UKLF2Tp2bMnrl69ivPnz2Pfvn0YPXo0WrVqJcm701QT7FFOiZiovtgzZ06Lr/1848YNdO/eHenp6cjJycGgQYPQsGFDw9odPE+ueWdvb4+WLVsCKHqj4MUXX8TFixexfft22NnZ4Y033kB+fr7ZD3/mbewrlUou3hAovg44D2iCzRGeDjnihblyev/+fRw7dgyXL1+Gl5cX+vTpAwAYMWKEWfZvbnL5g8PZ2RlhYWEICwtDVlYW1Go1tFotFi1ahODgYLRu3RotW7Y0y3l1NP7Zo5wSMVF9sWeOnOp0OkRGRiI6Ohqpqalo3rw5CgoK0LBhQzRs2FD0/ZubXPp18WJyISEhGDBgAFJSUqBQKBAZGYmoqCi0bNkS7dq1MyysJiYa++LgKa80weaIVqvlYpU/noiZ0/j4eFy/fh3dunVDTk4OPDw88Nprr8HPz0+U/VkSnU4ndQjMOTk5Gf4/d+5c/PPPP/jrr7/w+++/45133oEgCFAqlaK9c03jnz3KKRET1Rd7YuW0oKAA//zzD3x8fFC7dm2kp6ejV69eaNq0aZlzMOVGjv1aoVDA09MTANC7d2/UrVsX0dHR+PrrrzFw4EB07NgROp1OtAkbjX1x8JRXmmBzpOQf+IQN1jnV6/WIjo7GyZMn8eDBA7Rs2RI6nQ6hoaEIDQ1lui9LxsNlr2rC1dUVTz/9NJ5++mmkp6dDqVTiwIEDuHDhAjp06IC2bdsyv9Y2jX/2KKdETFRf7LHOaVJSEv766y+cOXMGLi4uGDBgABQKBder11eX3Pu1Uqk0HH1QvHhpfn4+PvroIzRu3BgdOnRASEgI0zfHaeyLg6e8yuO4ECuRlpYmdQiywyqniYmJSE5OhkKhQHR0NJo3b44FCxZg1KhRXB3SwopWq5U6BLMpXuG9e/fuCA8Px4ULF7Bo0SJER0cz3Q+Nf/Yop0RMVF/sschpYWEhbt68CQB4+PAhsrOzMWnSJLzxxhto3LhxjZ+fN9bUr21tbWFnZweNRoOXX34Z9vb2WL9+PT7//HOmi73R2BcHT3mlT7A54uXlJXUIslOTnAqCgDt37uDIkSO4efMmBg8ejI4dO2LKlCkMI+QTL4fwsGRjY4N27dqhXbt2SEhIgL29PQoKCrBp0ya0b98eTZs2rdG5bjT+2aOcEjFRfbFXk5zm5OTgxIkTOH78OOzs7DBnzhy0atUKrVq1Yhcgh6yxXwOAv78/Bg8ejP79+yM2NhZKpRJ///03UlJS0KVLlxpdNYTGvjh4yit9gs2RpKQkqUOQHVNyWnzp+PPnz2PDhg0IDAzEO++8g44dO7IOj1u5ublShyApHx8fODs7QxAE1K1bFz///DOWLFmCv/76y+TnpPHPHuWUiInqiz1Te7YgCPjqq69w8+ZNjBgxAm+99ZbsD402lrX3a7VajaCgIABArVq1kJSUhMWLF+OHH35AYmKiSc9JY18cPOWVPsHmiIeHh9QhyE51cqrVahEVFYW//voLr7zyCpo3b24VC6CYgpfLKIhNo9EgPDwcXbt2xcWLFw3N+sGDB/Dw8KjW9Rxp/LNHOSViovpirzo5vX//Po4ePQonJycMHToUr776KvO1MeSA+vW/goKC8OKLLyI5ORnHjx+HIAjQ6XS4c+cO6tevb/R52jT2xcFTXmmCzZG0tDSuiosHxub0+PHjOHDgALy8vNCvXz84OzvL5tIWYrCmc7qMoVKpSh2GeOrUKZw7dw6dO3dGt27djFq4g8Y/e5RTIiaqL/aMyWlKSgp27NiBe/fuoUOHDujatSsA0OS6AtSvy/L09MTgwYMBAHFxcdi0aRO8vLzwzDPPIDQ0tMqJNo19cfCUV5pgc4Sn1fN4UVlO8/PzERsbi5CQENja2mLs2LFo0KCBaJdhkhM69K5yzz33HMLCwnDw4EF89NFHePvttw2LpVWExj97lFMiJqov9irL6YMHD+Dl5QV7e3sEBQVh7NixNKk2AvXryvn7++Odd97BiRMn8NNPP6FVq1YYMmRIpY+hsS8OnvJKE2yO5OXl0eHIjJWX04KCAvz999+IjIyEv78/pk2bhvbt20sUIZ/keF1N1oKCgjB58mQkJibC1dUV165dw/Xr1/HMM8+U+0chjX/2KKdETFRf7JWX04cPH+L333/H7du38eKLL6Jhw4bo06ePRBHyh/p11WxtbREeHo7OnTsjOzsbgiAYJtuNGjUq88ELjX1x8JRXmmBzxBov9yS2J3NaWFiIpUuXwsnJCSNHjjTqUCBSFuXMeN7e3gAANzc3JCYm4uOPP0aPHj3QtWvXUp8s0Phnj3JKxET1xd6TOf3777+xZ88edO7cGSNHjuTqEy5LQf3aeDY2NnBzc4Ner0dAQAB+/PFHBAQEYMCAAahVq5ZhOxr74uAprzTB5gi9CLJXnNPr169Dq9WiRYsWmDx5Mvz8/CjfxKz8/PwwZcoU3Lp1C7/++iv8/PzQpEkTCIIAhUJB9SgCyikRE9UXewqFAjk5Ofjzzz/Ro0cPtGjRAs2bN4ezs7PUoRErolQq8fTTT6N9+/aIjIzEzz//jOnTpwMA9WsR8ZRXmmBzpKCgQOoQZOfBgwc4duwY7t+/j4EDBwIoOt+G1Ixer5c6BG7Vr18fr732GoCiVXC3b9+O/v37U12KgF5TiZiovtjS6XQ4cuQITpw4geDgYOTm5sLFxUXqsLhH/dp09vb26Nevn+GN8A0bNsDd3R1hYWF0/r8IeHpNpWWQOUKDla309HSsW7cOvr6+mDdvHsLCwqQOSTZo0ZSaKX4HPCAgAGFhYdi8eTO2b9+OlJQUqUOTFXpNJWKi+mLr559/xsWLFzFu3DhMmTKFJteMUL+uueJPVp999lkkJCRgxYoViIqKgiAIEkcmLzy9ptIEmyPp6elSh8A9QRBw8uRJXL58Ga6urpgxYwYGDRrE1aDlAV32gw21Wo2uXbti7ty5AIA7d+4AADVtRug1lYiJ6qvmUlJSsHv3buj1evTp0wcTJ05Ew4YNpQ5LVqhfs+Pv748pU6agb9++OH/+PHQ6HfVrhnh6TaVDxDni6ekpdQhci42NRUREBDIyMvD8888DKFrJmbBnZ2cndQiy4uTkhMmTJ0OhUCAhIQEbNmzAoEGDEBoaKnVoXKPXVCImqi/TFR8OfujQIbRp0wYFBQVwcHCAvb291KHJDvVrthQKBTp37owuXboAALZu3QqNRoM+ffrQhzk1xNNrKn2CzZHk5GSpQ+BWUlISvvrqK9SrVw9vvfWW4R1wyqk48vLypA5Bdopr1cvLC126dMHmzZuxYcMGrt7RtTQ0/omYqL5Mt337dpw/fx4vvfQSnn/+edja2gKgnIqB+jV7Jeu0V69eSElJwdKlS3HmzBn6RLsGeBr/9Ak2R3h658ZSXLlyBba2tqhXrx7efvttuLq6lrqfcioOekecveJaVSqV6NSpE1q0aIE9e/bgwoUL6Nq1q8TR8YnGPxET1Vf15Obm4sSJE+jevTv69+8PBweHMpfloZyyR/2avZJ16uXlhcmTJ+Py5cv4448/0Lx5c8MbRqR6eBr/9Ak2R3h650ZqeXl5+Omnn/Djjz8iJycHAMpMrgHKqVjoHXH2nqxVJycnjBo1Cl26dEFycjI2bNiAtLQ0aYLjFI1/IiaqL+Ndu3YNn3zyCWJiYpCfnw9nZ+dyr3lLOWWP+jV7T9apQqFAs2bNMGvWLNja2mLv3r04deoUfZpdTTyNf5pgc6S8CSIpKyMjA5988gkyMjLw5ptvonnz5hVuSzkVB707y15FtapQKODg4AAHBwd88sknOHHiBDVtI9H4J2Ki+jLOoUOH8MMPP6BPnz6YNGlSpf2Dcsoe9Wv2KuvXAFCvXj0cOHAA3377LVJTU80ZGtd4Gv80weZI8SexpHxarRbJyclwdnbG888/jylTplQ5GCmn4uDpWoW8qKxW7e3tMWLECIwfPx5//PEHoqKizBgZv2j8EzFRfVUuNjYWgiCgWbNmeOONNxAWFmaYgFSEcsoe9Wv2qqrT0NBQvPnmm3B3d8fKlSuh0+nMFBnfeBr/dA42R+hahRWLiYnBli1bEBoaimHDhhm9ujLlVBxKJb13x5oxtdqoUSO88cYbUKvVyMrKwr1799C0aVMzRMcnGv9ETFRf5SsoKMCvv/6KM2fOYM6cOfDz8zP6sZRT9qhfs2dMndrZ2eH5559HVlYWVCoVLly4gAYNGtBK+ZXgafzTqOIIHfZZll6vx6FDh7BmzRp07doVQ4cOrdbjKaeEF8bWqp2dHdRqNR4/fowtW7YgIiKCPqGoAI1/Iiaqr7ISEhLw5Zdf4uHDh5gzZ061Fy2inBIeVKdOnZycIAgCzp07h08//RR37twRMTK+8TT+aYLNETqEpHzJycmYOXMmunbtWuXhZU+inIqDpxdBXlS3VuvVq4c5c+YgLi4On3/+OVeLg5gLjX8iJqqvstLS0hAaGorp06ebtCIw5ZQ96tfsVbdOFQoFJkyYgO7du+Pbb7/FoUOHRIqMbzyNfzpEnCN0KYV/Xb9+HadOncLYsWMxcuRIk5+HciqO8lZ/JTVjSq16eHhg+vTp+PPPP+Ho6AidTgelUlntN6LkisY/ERPVVxGtVoudO3eibdu2aNiwIRo2bGjyc1FO2aN+zZ4pdapQKNC5c2fUrVsXjx8/BlA0oaTfz794Gv/0CTZHsrKypA5Bcnq9Hvv27cPGjRvRuHHjGk8UKKfioEOS2TO1VpVKJbp16wY7Ozv8+uuv2LJlC/1+/h+NfyImqq+ihcz+97//IT09vVrnWleEcsoe9QP2alKn/v7+aNWqFdLT07FkyRLcvHmTYWR842n80wSbI25ublKHILldu3bh8uXLmDVrFtq3b1/jCTblVBx02Q/2WNRqjx49kJqaiq+++ooOGQeNfyIua6+v5ORkrFixAm3btsW0adPg4uJS4+e09pyKgfo1eyzq1NXVFc888wzWr1+PI0eO0KH84Gv80wSbIykpKVKHIJnU1FQIgoDu3btj1qxZ8PX1ZfK81pxTMeXl5UkdguywqFVnZ2e8/PLLqFevHtauXQu9Xs8gMn7R+Cdistb60uv1SE9Ph6enJ1599VU888wzzFaqttacion6NXus6jQsLAzTp0/H8ePHce7cOSbPyTOexj9NsDni5eUldQiS+Oeff7B8+XI8ePAAHh4eTN9ttdacio0uM8Eeq1pVqVQYPHgwZsyYAaVSiTt37ljtO+M0/omYrLG+cnJysHbtWuzYsQNA0eGuLFljTsVG/Zo9lnVau3ZtzJkzB61bt0ZGRgYSExOZPTdveBr/NMHmSFJSktQhmFXx+dbbt2/HmDFjEBQUxHwf1pZTc8nNzZU6BNlhXatOTk4oKCjAtm3bsHHjRqs8D4/GPxGTtdVXXFwcvvjiC9jY2GDMmDGi7MPacmoO1K/ZY12nDg4OUCqVuHr1Kr744gvcuHGD6fPzgqfxTxNsjvB07gELjx49wpUrVzBr1iw0adJElH1YW07Nhc7pYk+MWrWxscGsWbOQlZWFlStXIjMzk/k+LBmNfyIma6uv33//HW3btsWLL74o2mq/1pZTc6B+zZ5YddqhQwcMHToU3333HU6dOiXKPiwZT+OfJtgc4Wn1vJrIzMzEnTt3DIfF+Pj4iLYva8mpuVnjp6FiE6tWHRwc8NJLL8HHxwe3bt0SZR+WisY/EZO11Nfly5eh0+kwfvx49O7dW9TLAFpLTs2J+jV7YtZp27ZtMXXqVJw7dw6FhYWi7ccS8TT+aYLNEWt4lzEhIQFfffUVoqOjAYDZwigVsYacSoGu28iemLWqVqvxwgsvoHXr1oiNjbWay4LQ+Cdiknt9CYKAffv24aeffkJiYqLo/RqQf06lQP2aPbHrtG7dunj55ZehUqnw119/Wc2bJDyNf5pgc0Sn00kdgqju3LmDr776Cm3atMGwYcPMsk+551Qq1r46tRjErtXiT50SExOxfv16qzj8jMY/EZOc66uwsBA//vgjzp8/j1dffZXJNa6NIeecSoX6NXvmqFOFQoH8/HycP38eq1at4urTXVPxNP5pgs0Rua/0e+XKFfTv3x99+vQR9RCzkuSeUyIf5qrVli1bYsqUKfj1119x+PBhs+xTKjT+iZjkXF/p6enIzc3Fq6++Cm9vb7PtV845JfJhrjq1tbXFSy+9BA8PD6xYsQJpaWlm2a9UeBr/NMHmiI2NjdQhiCI6OhpZWVkYMGAAnnrqKbPuW645lZo5DhW0Nuas1Xr16uGVV15BUlKSrD/doPFPxCTH+srKykJ0dDQ8PT0xZcoUODs7m3X/csyp1Khfs2fOOlWr1RgzZgwaN26M1NRUs+1XCjyNfxpVHJHjpRSOHj2KiIgIyV4U5JhTS2BtC2+Yg7lrNSAgACNGjIBOp8PRo0dlOdGm8U/EJLf6Sk9Px9dff40rV65I9kmS3HJqCahfs2fuOlUoFBg8eDDq1KmDy5cv49GjR2bdv7nwNP5pgs0RFxcXqUNgRhAEHDhwAH/88QdeeeUV1K5dW5I45JRTS6LRaKQOQXakqtXc3FycPHkSmzdv5ur8J2PQ+CdiklN9paSk4Ouvv0adOnUwatQos53G9SQ55dRSUL9mT8o6TUpKwqpVq3Dnzh3JYhALT+OfJtgckdOhHwUFBbh79y6mT5+OwMBAyeKQU04tiVarlToE2ZGqVl1cXDBjxgwkJSXhu+++k9VqpTT+iZjkVF937txB06ZN8fzzz0t6SLGccmopqF+zJ2WdduvWDQMHDsTatWtx7do1yeIQA0/jnybYHPHy8pI6hBoTBAHR0dGwsbHBtGnTzLbyaEXkkFNLZG9vL3UIsiNlrTo5OeGVV16Bra0tMjMzJYuDNRr/RExyqK/Y2FjExcWhXbt2GDx4sGSfXBeTQ04tDfVr9qSu0w4dOmDEiBG4f/++pHGwJnVeq4Mm2BxJSkqSOoQaEQQBO3fuxP79+y3mPArec2qpLOX3KydS16qdnR3GjRsHDw8PXLhwQRbn7UmdUyJvvNdXfHw8Vq9ejVu3bkkdigHvObVE1K/Zs4Q6bdWqFXr37o309HTcvn1b6nCYsIS8Gosm2Bxxd3eXOgSTCYKAPXv24Nq1a3jllVfg4OAgdUgA+M6pJbO1tZU6BNmxlFrV6XSIjIzExo0buT8n21JySuSJ5/pKTEzEN998g65du6Jr165Sh2PAc04tFfVr9iypTu/du4d169ZZ1BtlprKkvFaFJtgcSU9PlzoEkyUlJeHKlSt4+eWX4ebmJnU4Bjzn1JLl5+dLHYLsWEqtqlQqTJs2Denp6di0aRPXk2xLySmRJ57rKzIyEu3bt0evXr2kDqUUnnNqqahfs2dJddqiRQsMGzYM3333HfefZFtSXquiljoAYjxHR0epQzBJcnIyvL298eabb0KlUkkdTim85tTS8XStQl5YUq3a29vjpZdewpo1axATE4P69etLHZJJLCmnRH54rK+MjAw4ODhg+PDhUCqVkp9z/SQec2rpqF+zZ2l12q5dO+j1ehw8eBB169a1uHFtLEvLa2XoE2yO8Pgu49GjR/H111+joKDA4ibXAJ855QHPn2paKkurVQcHB8yaNQv169dHWlqaZNfFrQlLyymRF97qKyMjAytXrsTJkyehUqks8o9w3nLKA+rX7FlinYaFhWHatGkAgLS0NGmDMZEl5rUiNMHmiCU2u8pERUXh4MGDmDRpksW+Q8pbTon1ssRaVSqVEAQB69atw++//y51ONVmiTkl8sFTfeXm5mLNmjUIDg5G586dpQ6nQjzllFgvS61TpVKJS5cu4csvv0RKSorU4VSbpea1PDTB5oglfgJckbi4OOzatQsTJ05ErVq1pA6nQjzllCdSXidVriy1VhUKBcaNG4e///4bx48flzqcarHUnBJ54Km+duzYAXd3d4wcOdKi/4jlKae8oH7NniXXabNmzdC8eXN8++23yM7OljqcarHkvD6JRhVHtFqt1CEYzc/PD7NmzUK9evWkDqVSPOWUJ3TIGXuWXKs+Pj6YMmUKfvvtN64WUbHknBL+8VRf/fr1w9ixYy1+ssVTTnlB/Zo9S65ThUKBwYMHIyAgAJs2beLq9C5LzuuTaJEzjjg5OUkdQpWSk5Oxbds2TJw4Ef7+/lKHUyUecsojSz0lgGeWXqtBQUGYMWMG/Pz8pA7FaJaeU8I3Hupr79698PT0xFNPPSV1KEbhIae8oX7NnqXXqVKpxKhRo5CYmGjRR6w8ydLzWpJlv1VJSrH0RQmys7Px7bffwt/fn5vrKlp6TnnF07uMvOChVgMCAgAA69atw+PHjyWOpmo85JTwy9Lr6/jx4zh16pTFH2lWkqXnlEfUr9njoU7VajX8/f1x5coV7Ny5k4tPsnnIazGaYHPEy8tL6hAqVFhYiO+++w4BAQEYNGgQN++IWXJOeWZvby91CLLDS60qlUoEBgZi/fr1Fn9+Fy85JXyy5Pq6fPky9u3bh8mTJ8Pb21vqcIxmyTnlFfVr9niq08DAQFy8eJGLNVR4yitNsDmSlJQkdQgVys/PR0BAAEaNGmXx53CVZMk55Vlubq7UIcgOT7X67LPPIjAwEBs3brTo8/t4yinhjyXXV25uLkaNGoXg4GCpQ6kWS84pr6hfs8dTnbq6umLixIn47bffcO3aNanDqRRPeeVnJkTg4eEhdQjliomJgZ2dHYYNG8bduTyWmlPe2dnZSR2C7PBUqwqFAi+88AKcnZ2RlZUldTgV4imnhD+WWF85OTmIi4tDu3bt0Lx5c6nDqTZLzCnvqF+zx1udBgUF4fnnn0d8fLzUoVSKp7zSBJsjqampUodQxs2bN7FmzRouzrcsjyXmVA7y8vKkDkF2eKtVjUaDsWPHwsXFBY8ePZI6nHLxllPCF0urL71ej02bNuHw4cNSh2IyS8upHFC/Zo/HOm3dujXCw8ORmpqKnJwcqcMpF095pQk2R5ydnaUOoZTk5GRs2rQJw4YN42LF8PJYWk7lQqPRSB2C7PBaq8nJyVixYgVu3LghdShl8JpTwgdLq689e/YgMzMTzz33nNShmMzScioH1K/Z47lODx06hI0bN0Kv10sdShk85ZUm2ByxpHcZBUHAjz/+iLZt26J9+/ZSh2MyS8qpnFjyebe84rVWvby8MHz4cPzwww8WtwIorzklfLCk+rp27RrOnj2LiRMncnOVj/JYUk7lgvo1ezzX6aBBg5CVlYXffvtN6lDK4CmvNMHmiFptOZctLz7HcuDAgVKHUiOWlFM54WUVeZ7wXKvF53tu3rzZoi4FwnNOieWzpPpq2LAhXn31VXh6ekodSo1YUk7lgvo1ezzXqa2tLSZMmIC///7b4o484ymv/ERKLEZUVBSUSiXatWsndSiEEE4MHToUjx49oj/mCDEjrVaLnTt3YvDgwVxdjosQIh1vb2+89NJL3J7+aQnoE2yOFBQUSB0CYmNjsWvXLri5uUkdChOWkFM5ssRzd3jHe62q1WoEBwfjypUruHTpktThAOA/p8SySV1fgiBgx44dyMjIkM1K0VLnVI6oX7MnhzoNCgqCXq/H3r17UVhYKHU4APjKK02wOeLg4CDp/rVaLTZt2oQePXqgfv36ksbCitQ5lSveLtfGA7nUql6vx9atWy3iepZyySmxTFLXV1RUFG7duoXRo0dDqZTHn3tS51SOqF+zJ5c6ValUuHXrFn755RepQwHAV17l8YprJTIyMiTd/61bt+Du7o6ePXtKGgdLUudUrrRardQhyI5carVZs2bo0KEDNm7cKPm74nLJKbFMUtaXIAiIiorCmDFjuFp5tyo0Ztmjfs2eXOpUrVZj/PjxiI6Oxj///CN1OFzllSbYHJHyAus6nQ5NmzbF1KlTZfNOOMDXRet5IpfDES2JnGq1X79+UCgUuHLliqRxyCmnxPJIVV/Fq0LPnDlTNkebFaMxyx71a/bkVKfu7u4YMWIEDh06JPkipTzlVT4zJSuQnJws2X4XL16MnJwc2S1QJFVO5Y6nSynwQk61qlKpMGPGDLRo0ULSOOSUU2J5pKqv3bt34+DBg7Lr1wCNWTFQv2ZPbnXavHlzvPrqq5K/pvCUV5pgc8TLy8vs+9Tr9diyZQuaNm3K1bkPxpIip9bA3t5e6hBkR261qtFokJ6ejlWrVkn2B57cckosixT1df36dZw7d062V/mgMcse9Wv25FinGo0Ghw4dwvHjxyWLgae80gSbI1IsCnTs2DFkZWWhf//+Zt+3OVjCQktylJubK3UIsiPHWnVxcYFKpcLu3bsl2b8cc0osh7nrKzc3F9u2bcOgQYO4OpSyOmjMskf9mj251mm9evWwd+9ePH78WJL985RXmmBzxNXV1ez7zMjIwAsvvACNRmP2fZuDFDm1Bra2tlKHIDtyrFWFQoGRI0fi8uXLuHDhgtn3L8ecEsth7vpKS0tD48aNERYWZtb9mhONWfaoX7Mn1zqtU6cOunTpgs2bNxvWejAnnvJKE2yO5OTkmG1fOp0Oubm5GDRoEEJCQsy2X3MzZ06tCU/XKuSFXGvV1dUVzz33HK5evWr2fcs1p8QymLO+srOz4e/vj+eee07y8yTFRGOWPerX7Mm5Tvv06QNHR0fEx8ebfd885ZUm2Bwx56fIf/zxBzZv3my2/UlFrp/MS02lUkkdguzIuVZbtmyJESNGQK/Xm3W/cs4pkZ656isrKwuffPIJ7t+/b5b9SYnGLHvUr9mTc52qVCpMmzYNgYGB1LMrQRNsjpirkB8/fozIyEj07dvXLPuTkrlfHKyF1JdykCNrqNXVq1fj2rVrZtufNeSUSMdc9fXLL7+gTp06qF27tln2JyUas+xRv2ZP7nWqUChw/fp1rFq1yqw/K095pQk2R8xxvoMgCNixYwc6deqEwMBA0fcnNSnOIbEG1LDZk3utKhQKtGnTBjt27IBWqzXLPuWeUyItc9TXzZs3cfnyZQwZMkTWh4YXozHLHvVr9qyhTuvWrYuMjAycOHHCbPvkKa80weaIORaiKCgoQEBAAHr37i36viwBLe4hDjrkjD1rqNUOHTrA3d0d+/fvN8v+rCGnRDrmqK/CwkIMGTKEq8V/aoLGLHvUr9mzhjq1sbHBc889h3379iEtLc0s++QprzTB5kh2draoz5+XlwelUomhQ4dyVcQ1IXZOrRUtmsKeNdSqQqHAiBEjkJCQYJZDwawhp0Q6YtdXZmYmGjdujPbt24u6H0tCY5Y96tfsWUudNmjQAO3atcOjR4/Msj+e8srdBHvlypWoU6cO7Ozs0LZtW/z5558VbnvkyBEoFIoyX+Y8x48lNzc3UZ9/9+7d2LNnj6j7sDRi59RaWcsbNOZkLbXq7e2NqVOnQqFQiH7oorXkVErUs8WRkJCAJUuWICMjQ7R9WCIas+xRv2bPmup06NChaNq0qVneFOcpr1xNsH/66Se8/vrreOeddxAdHY2uXbuib9++Va6cef36dcTFxRm+GjRoYKaI2UpJSRHtuW/duoWLFy+iR48eou3DEomZU2uWl5cndQiyY221unXrVpw8eVLUfVhbTs2NerY49SUIAiIiIhAWFgYXFxdR9mGpaMyyR/2aPWur09jYWHz22WeiHw3BU165mmB/9tlnmDx5MqZMmYLGjRvj888/R+3atbFq1apKH+fj4wM/Pz/DF6/nm3h5eYnyvHq9Hrt370bv3r2t5jyuYmLl1NrZ29tLHYLsWFuttmjRAr/99htyc3NF24e15dTcqGeLU1///PMPEhMT0adPH1Ge35LRmGWP+jV71lan/v7+UKvVOHr0qKj74Smv3Eyw8/Pzcfbs2TKLb/Xu3Rt///13pY9t3bo1/P390bNnT0RGRla6rVarRUZGRqkvS5GUlCTK8+bl5SEkJARdunQR5fktmVg5tXZiToqslbXVapMmTVCrVi0cOHBAtH1YW07NiXq2ePWl1+sxaNAgqzy0l8Yse9Sv2bO2OlUoFBgyZAgOHz6M9PR00fbDU165mWAnJSVBp9PB19e31O2+vr6Ij48v9zH+/v5Ys2YNIiIisHPnTjRq1Ag9e/bEsWPHKtzP4sWL4erqavgqvq5kfn4+kpOTodfrDb/gpKQkFBQUIC0tDbm5ucjKykJmZia0Wi1SUlKg0+lKbavT6ZCamoq8vDxkZmYiKysLeXl5SE1NRWFhYalt9Xo9UlJSDH88ZGdnw9bWFunp6SgoKCi1rSAISE5ORkFBAdLT05GTk4OcnBxkZGRUGHdhYSHS0tKQmZmJwsJCPPvssygsLDQ67tzcXKSlpVUYd35+viHunJycUnELglDq35JxZ2dnG+JOSUmpMO6S+S7OYXlxF+eworjd3NwMcScnJxviLs5hcdzJycmGeEv+7tPT05Gbm2uIu/h3X17cxTmsSdxP/u5Njbs4hzWJ+8nffcm4FQoFsrOzK4y7uGbz8/NL1Wx6erqhZqsT95M5LBm3KWOtqrirM9ZYvUY4OTkZFTfr1whT467pa0RycjIGDRqEK1euIC8vT5TXCGdn5ypfI2o61ox5jZAj6tni9Oz09HQ0bNgQ9erVM+t4pJ4t356tVquN7n3Us417jQBgdNxy6dlOTk5o0aIFzp07J9prBE89WyFwcgG82NhYBAYG4u+//0bHjh0Nt3/00UfYtGmT0YugDBw4EAqFAr/88ku592u12lLXYM3IyEDt2rWRnp4u+blOqampcHd3Z/qce/fuRV5eHoYPH870eXkhRk4JMH36dKxcuVLqMGTFWmtVEATRru9rCTnNyMiAq6urRfQYlqhns6+vzMxMLF++HK+99ho8PDyYPS9PLGHMyg31a/astU7F7NeAZeTV2J7NzSfYXl5eUKlUZd75TkhIKPMOeWWeeuop3Lx5s8L7bW1t4eLiUurLUrA+TyY5ORnHjx8v9cePtaFzj8ShVqulDkF2rLVWFQoFtm7diitXrjB/bmvNqTlQz2ZfX/v370edOnWsdnIN0JgVA/Vr9qy1ThUKBR48eIC1a9eKchUQnvLKzQRbo9Ggbdu2OHjwYKnbDx48iE6dOhn9PNHR0fD392cdnlkUFhYyfb69e/eidevWCAgIYPq8PGGdU1LEHJdrsDbWXKu1atXCb7/9xrxhW3NOxUY9m219xcXF4ezZsxgwYACz5+QRjVn2qF+zZ8116ufnh9jYWFy8eJH5c/OUV67etpozZw7GjRuHdu3aoWPHjlizZg3u37+Pl19+GQAwb948PHr0CBs3bgQAfP755wgJCUHTpk2Rn5+PH374AREREYiIiJDyxzAZyz8uCwoKkJeXhyFDhjB7Th5xcoYEIVZdq0899RSOHDmC8+fPo3Xr1sye15pzag7Us9nVV3x8PLp3787VKrpioDFLeGDNdWpjY4NnnnkG+/fvR7NmzaBUsvssl6e8cjXBHjlyJJKTk7Fo0SLExcWhWbNm2LdvH4KDgwEUvcNb8vqa+fn5eOONN/Do0SPY29ujadOm2Lt3L/r16yfVj1AjNjY2TJ9r2rRpzJ6PVyxzSv7F8gWVFLHmWlWr1ejduzeioqKYTrCtOafmQD2bXX2xrHue0Zhlj/o1e9Zep2FhYTh69Cju3r2LunXrMntenvLKzSJnUrGkBWhYndwfExODyMhITJw4UdTFCHhgCQsmyBEtmsKetdeqXq+HIAhMr4lsCTm1pB4jB5aUT1b1tXHjRnTq1An169dnEBXfLGHMyg31a/aoTouOlGU9IbaEvMpukTMCZn8s7N+/H4GBgVY/uQbY5ZSUptFopA5Bdqy9VpVKJQoLC7Fr1y4UFBQweU5rzykRF4v6un37Nm7cuIHAwEAGEfGPxix71K/Zozot+rT5ypUrOHv2LLPn5CmvNMHmSGpqao2f49atW4iNjcXTTz/NICL+scgpKavkZXMIG1SrRX8I3r17F3///TeT56OcEjHVtL4EQcD+/fvRrVs3rlbPFRONWfaoX7NHdVpEEATs2bMH+fn5TJ6Pp7zSBJsjLBY3OXPmDDXrEqx9wRixUH2xR7VadAmQPn36IDIyksmn2JRTIqaa1ldSUhKSkpLQtWtXRhHxj8Yse9Sv2aM6LdKkSRO4u7vj5MmTTJ6Pp7zSBJsjSUlJNX6OESNGIDw8vObByASLnJKycnNzpQ5BdqhWi4SGhsLFxQWnT5+u8XNRTomYalpf3t7emD9/Puzs7BhFxD8as+xRv2aP6rSIQqFAz549cfToUeh0uho/H0955WoVcWtX0xP7Dx48iPbt28PNzY1NQDIg9WIJcmVrayt1CLJDtVpEoVBgzJgxTF7HKKdETDWpr/v37yM+Ph5hYWEMI+IfjVn2qF+zR3X6r6ZNm8LV1ZXJAqU85ZU+weZIenq6yY99+PAhDh8+TItZPKEmOSUVY3W+DfkX1eq/fH19kZ+fj0ePHtXoeSinREw1qa9Dhw5x9WmNudCYZY/6NXtUp/9SKBSoVasWbty4Ab1eX6Pn4imvNMHmiKOjo8mPPXLkCDp06AAHBweGEfGvJjklFePpWoW8oFot7fLly9iyZQtqcqVJyikRk6n19fjxY9y4cQNdunRhHBH/aMyyR/2aParT0vR6PbZt24aLFy/W6Hl4yitNsDli6ruMycnJuHjxIq0cXg5651YcLM61IaVRrZbWrl07ZGdn48qVKyY/B+WUiMnU+jpy5AjatGnD1SVpzIXGLHvUr9mjOi1NpVIhPDwchw8frtGb4jzllSbYHDH1utUuLi6YPHkyPDw8GEfEP7oWOOEF1WpparUa3bp1Q2RkpMnPQTklYjK1vrp27YpevXoxjkYeaMwSHlCdltWhQwekpaXh5s2bJj8HT3mlRc44YsoCAbm5udBqtWjYsKEIEfGPxaILpCylkt67Y41qtawOHTogOzsber3epJqjnBIxmVJf8fHx8PPzo9fQCtCYZY9qjT2q07JsbGwwYMCAGp2SwFNeaVRxRKvVVvsxJ06cwLZt20SIRh5MySmpGh1yxh7Valn29vbo37+/ye9qU06JmKpbXwUFBfj6669x//59kSLiH41Z9qhfs0d1Wr727dujTp06Jh8mzlNeaYLNkeqe3K/X63HixAl07NhRpIj4x9OCCTyhRVPYo1otX05ODj766CPk5ORU+7GUUyKm6tZXdHQ03NzcEBwcLFJE/KMxyx71a/aoTit28OBB7Nu3z6TH8pRXmmBzpLrL01+/fh06nQ5NmjQRKSL+8bTkP094epeRF1Sr5XNwcICnpyeioqKq/VjKKRFTdeur+A1xns4zNDcas+xRv2aP6rRidevWxalTp1BQUFDtx/KUV5pgc8TLy6ta2+fk5CA8PJyrcxbMrbo5Jcaxt7eXOgTZoVqtWOfOnfH3339X+xqblFMipurUl1arhbOzM9q0aSNiRPyjMcse9Wv2qE4rVrduXbi4uOD8+fPVfixPeaUJNkeSkpKqtX3btm3p0lxVqG5OiXFyc3OlDkF2qFYr1qxZMwiCgEePHlXrcZRTIqbq1JetrS0mTZoEOzs7ESPiH41Z9qhfs0d1WjGFQoHOnTvj0qVL1X4sT3mlCTZHqnOZrcjISJw+fVrEaOSBLl0mDvojkT2q1YoplUrMnTsXtWvXrtbjKKdETMbWV25uLr755hs6VNcINGbZo37NHtVp5cLCwjBhwoRqP46nvNIEmyOpqalGbafT6XDs2DG4urqKHBH/jM0pqZ68vDypQ5AdqtXKqVQqnDx5EpmZmUY/hnJKxGRsfZ09exb5+fmwtbUVOSL+0Zhlj/o1e1SnlVOpVEhOTsY///xTrcfxlFeaYHPE2dnZqO2uX78OlUqFBg0aiBwR/4zNKakejUYjdQiyQ7VaOYVCgfPnz+PcuXNGP4ZySsRkbH2dPn0aHTp0EDkaeaAxyx71a/aoTquWmZmJiIgIFBYWGv0YnvJKE2yOGPsu49mzZ9G2bVtaidQI9M6tOOi6muxRrVatXbt2OHPmjNHX2JR7Th8+fIisrKwytxcUFODYsWMSRGRdjKmvx48f4/Hjx2jRooUZIuKf3MesFKhfs0d1WrU6derA3t4eV69eNfoxPOWVJtgcUavVRm03ZMgQdOnSReRo5MHYnJLqoTd32KNarVrz5s2RnJyM2NhYo7aXa07j4uIQFhaG4OBguLm5YcKECaUm2ikpKejevbuEEVoHY+rL29sbr7/+Op0HayS5jlkpUb9mj+q0agqFAm3btsWZM2eMfgxPeaUJtswkJiZCrVZzdRgFIYSwYGtriyFDhlj9IY9vv/02VCoVTp06hf379+PKlSsIDw8vdf6asZ/yE/EUr3zv6+srdSiEEGJ27du3R6NGjaQOQxQ0weaIMRdl37FjB60eXg2mXOieVK261yMmVaNaNU5YWBi8vLyMmkDKNaeHDh3CF198gXbt2qFXr144fvw4atWqhR49eiAlJQUAfWplDlXV1507d/Dtt9/S62U1yHXMSonqjz2qU+O4u7ujU6dORr/hy1NeaYLNEQcHh0rvT0tLQ0xMDFq3bm2miPhXVU6JaWxsbKQOQXaoVo23atUq3Lhxo8rt5JrT9PR0uLu7G763tbXFjh07EBISgu7duyMhIUHC6KxHVfV17tw5tG7dGiqVykwR8U+uY1ZK1K/Zozo13rVr17B69WqjtuUprzTB5khGRkal90dHR6NBgwZ0eHg1VJVTYhq6nit7VKvGCwgIwIULF6rcTq45rVu3bpmfX61WY/v27ahbty4GDBggUWTWpbL60ul0+Oeff9CmTRszRsQ/uY5ZKVG/Zo/q1Hi1atVCTEwM0tPTq9yWp7zSBJsjVV1gXa/Xo3379maKRh54umg9T2jBHvaoVo3XokULXLp0qcpDH+Wa0759+2LNmjVlbi+eZLdq1cr8QVmhyuorPT0ddevWRVBQkBkj4p9cx6yUqF+zR3VqPCcnJ9StWxcXL16sclue8koTbI4kJydXen/Pnj3pD6dqqiqnxDQ8XUqBF1SrxgsJCYFSqcSDBw8q3U6uOf3oo4+wffv2cu9Tq9XYuXMn7ty5Y+aorE9l9eXh4YFJkybRufDVJNcxKyXq1+xRnVZP8+bNjbpcF095pQk2R7y8vCq878KFC7S4mQkqyykxnb29vdQhyA7VqvGUSiXeeustBAcHV7qdXHOqVqvh4uJS4f0qlarK3JCaq6i+BEHATz/9VO41yknl5DpmpUT9mj2q0+oJCwvDxIkTq9yOp7zSBJsjSUlJFd538uRJ5OTkmDEaeagsp8R0ubm5UocgO1Sr1aPRaHDp0qVKVye11pw+ePAAkyZNkjoM2auovu7fv49Lly7RxMYE1jpmxUT9mj2q0+qxsbFBWlpalUed8ZRXmmBzxNXVtdzbc3Nzcfv2bTRv3tzMEfGvopySmrG1tZU6BNmhWq0ehUKBbdu24d69exVuY605TUlJwffffy91GLJXUX1dvHgRTZs2pdXDTWCtY1ZM1K/ZozqtvqtXr2Lfvn2VbsNTXtVSB0CMl52dDTc3tzK3X7t2Db6+vlyd/G8pKsopqRmerlXIC6rV6lEqlWjcuDGuXbuGkJCQcreRa05/+eWXSu+n86/No7z6EgQBly5dopXcTSTXMSsl6tfsUZ1WX5MmTfDrr79Cq9VW+KYPT3mlCTZHKiq4oKAgDB482MzRyAO9cysO+mSGParV6mvUqBGOHTuGPn36lHu/XHM6ZMgQKBSKSg+Pp8W1xFdRffXr1w8NGzY0czTyINcxKyXq1+xRnVafp6cn3N3dcfv2bTRp0qTcbXjKKx0izpHyLjkjCALc3NxQr149CSLiX1WX8SGmqewPe2IaqtXqa9iwITw9PSvMnVxz6u/vj4iICOj1+nK/zp07J3WIVqG8+tLpdGjRogU0Go0EEfFPrmNWStSv2aM6Nc1TTz1VaT3ylFeaYHNEp9OVuS02NhYff/wxvUCaqLyckpqjemSParX6nJycMG7cOCiV5bc6uea0bdu2lU6iq/p0m7BRXn1t2rQJp06dkiAaeZDrmJUSvRawR3VqmvDwcDRt2rTC+3nKK02wOVLeoRE3btxArVq16HA/E/F0uAlP6JAz9qhWTXP79m0cOnSo3PvkmtM333wTnTp1qvD++vXrIzIy0owRWacn60un0+HWrVuoXbu2RBHxT65jVkrUr9mjOjWNIAjYsWNHhde75imvNMHmSHZ2dpnbbty4Qedy1UB5OSU1R4umsEe1ahqlUonjx4+X+ymNXHPatWvXCs87BwBHR0d069bNjBFZpyfr6/79+7CxsYG/v79EEfFPrmNWStSv2aM6NY1CoUBSUhKuXbtW7v085ZUm2Bx5cuU8nU6H+/fv0wS7BnhZjZA3PL3LyAuqVdMEBQWhsLAQsbGxZe6jnBIxPVlfd+/eRYMGDeiIsxqgMcse9Wv2qE5N16hRI1y/fr3c+3jKK02wOZKSklLqe5VKhQULFsDLy0uiiPj3ZE4JG3l5eVKHIDtUq6ZRqVQICQkp99JUcs9pRX+kEPN4sr7Cw8Px/PPPSxSNPMh9zEqB+jV7VKemq1evHmJiYso96oynvNIEmyNPTqQfPHiA3Nxceje8BujNCXHY29tLHYLsUK2arlevXmjQoEGZ2+Wc0zNnzqB79+5Sh2HVStZXQUEBbty4ARsbGwkj4p+cx6xUqF+zR3VqusDAQAwZMqTcFcN5yitNsDmSlJRU6vtff/0VN27ckCgaeXgyp4SN3NxcqUOQHapV04WEhMDX17fMO+Jyzekff/yBZ555BkuXLpU6FKtWsr7u37+Pbdu20RviNSTXMSsl6tfsUZ2aTqVSoW3btuVe/YOnvNIEmyMlzz0oPv86ODhYuoBkgKfzOXhC53SxR7VqOr1ej//+979lViaVY0537tyJgQMHYvHixRg3bpzU4Vi1kvV19+5dhISESBaLXMhxzEqN+jV7VKc189dff2Hr1q1lbucprzTB5khmZqbh/3FxcVCr1fDx8ZEwIv6VzClhJz8/X+oQZIdq1XRKpRIeHh6IiYkpdbscczpy5Ei88847ePnll6UOxeqVrK979+7RG+IMyHHMSo36NXtUpzXj4+NT7ropPOWVJtgcKXmeTF5eHlq3bk2Hm9UQnXskDrVaLXUIskO1WjN16tQpM8GWY07r1auHAwcO0GGfFqBkfdna2qJu3boSRiMPchyzUqN+zR7Vac0EBQUhPT0daWlppW7nKa80weZIYWGh4f/169fHsGHDJIxGHkrmlLBT3uIUpGaoVmumTp06uHv3bqnb5JjT48ePIycnB0OHDqXr20qsZH2NGTMGtWrVkjAaeZDjmJUa9Wv2qE5rxtbWFv7+/lz3bJpgc6TkAj379+/n6lAJS1XeZQAIsURUqzXTsGFDvPrqq6Vuk2NOvby8EBkZifz8fIwYMULqcKxacX3dunUL0dHREkcjD3Ics0R+qE5rburUqWjRokWp23jKK02wOVJ8eY+srCwcOnSILvfBAOVQHOWt/khqhmq1ZtRqNfLy8pCdnW24Ta45dXJywm+//UbjUGLF9XXhwgU8fPhQ4mjkQa5jVkr0OsEe1WnN2dnZISEhodRtPOWVRhVHis+pi4uLg6enJ+zs7CSOiH90nqI4eDqMhxdUqzUXERGB8+fPG76Xc05tbW2xfft2qcOwasX1FRsbi4CAAImjkQc5j1mpUL9mj+q05mJjY7Fy5cpSn1rzlFeaYHPE2dkZQFHR+fv7SxyNPBTnlLCl0WikDkF2qFZrLiAgAI8ePTJ8L/ec0idT0nJ2doYgCIiLi6OezYjcx6wUqF+zR3Vac/7+/sjNzUV6errhNp7yalL3ffHFF3Hs2DHWsZAqFK+m5+/vj/bt20sbjEw8uUIhYUOr1UodguxQrdZcYGBgqQm2NeVUEAQcPnwYe/fuRWpqqtThWIW0tDQUFhaic+fOdElNRqxpzJoL9Wv2qE5rzsbGBj4+Ptz2bJMm2JmZmejduzcaNGiAjz/+uNQPT8Tj5eUFoGixnqZNm0ocjTwU55SwxdOlFHhBtVpztWrVQkFBgeGQM7nmNC0tDRMmTEDz5s0xdepUZGRkoGvXrujVqxcGDhyI0NBQXLhwQeowZc/Lyws2Njbo168fXQqJEbmOWSlRv2aP6pSNOnXqICsry/A9T3k1aYIdERGBR48eYebMmdi+fTtCQkLQt29f7Nixgy4LIqKkpCTodDqsWrUKOTk5UocjC0lJSVKHIEs8nSfDC6rVmvP09MRbb70FhUIBQL45feONN3DixAmMHDkSFy9eRJ8+faDT6XDixAmcOnUKTZo0wTvvvCN1mLKXlJSEEydO4M8//5Q6FNmQ65iVEvVr9qhO2XjuuefQoUMHw/c85dXkE7Q8PT3x2muvITo6GlFRUahfvz7GjRuHgIAAzJ49Gzdv3mQZJwHg7u6OxMREPHjwgN5xZMTd3V3qEGTJ1tZW6hBkh2qVjZs3byI+Ph6AfHP622+/4dtvv8W7776LiIgInDx5EosXL0aHDh3Qvn17LF26FKdPn5Y6TNlzd3fHzZs3aREphuQ6ZqVE/Zo9qlM2srOzce7cOcP3POW1xiugxMXF4cCBAzhw4ABUKhX69euHy5cvo0mTJvjf//7HIkby/9LT0xEfHw8/Pz/DJzCkZkounkDYyc/PlzoE2aFaZeP06dO4dOkSAPnm9PHjx2jYsCGAovPO7ezsULt2bcP9QUFBSExMlCo8q1Hcs2mBM3bkOmalRP2aPapTNnJzc/HTTz9Br9cD4CuvJk2wCwoKEBERgQEDBiA4OBjbt2/H7NmzERcXh++//x4HDhzApk2bsGjRItbxWjVHR0ckJSVxdQ6CpXN0dJQ6BFni6VqFvKBaZcPb29swuZRrTvV6PVQqleF7lUpV6k1ZeoPWPOzt7ZGcnEw9myG5jlkpUb9mj+qUDQ8PDwiCYFiYk6e8mrTqhr+/P/R6PUaNGoWoqCi0atWqzDbPPvss3NzcahgeKUmr1aJ58+Z0njtDWq2WDo8SgU6nkzoE2aFaZcPLywtXr14FIO+crl27Fk5OTgCKrnO7YcMGw0QvMzNTytCshlarxdixY7k6rNHSyXnMSoX6NXtUp2wolUp4enoiMTERnp6eXOXVpAn2Z599hhEjRsDOzq7Cbdzd3RETE2NyYKQslUoFX19fqcOQlZKf8hB26BMy9qhW2QgICICfnx8A+eY0KCgI3377reF7Pz8/bNq0qcw2RFw2NjZo3ry51GHIilzHrJSoX7NHdcpOixYtDFdh4Cmv1Z5gFxYWYtKkSWjTpg2aNWsmRkykAkqlEkuXLsXYsWMRGBgodTiyoFTWeBkCUg5q2OxRrbLh6+uLESNGAJBvTu/evSt1CATA2bNncf/+fYwdO1bqUGRDrmNWStSv2aM6Zadv376G//OU12pHqlarERwcTIeUSCArKwuJiYlwcXGROhTZ0Gq1UocgS/T6wB7VKjuHDx9GQkIC5ZSIKi4ujq74wRiNWfaoX7NHdcpObGwsjh07BoCvvJr0VsC7776LefPmISUlhXU8pBJ5eXnQaDSG8+pIzfG0YAJPaNEU9qhW2bl06RJiY2Mpp0RU2dnZ8PT0lDoMWaExyx71a/aoTtnJyMjAyZMnAfCVV5POwf7yyy9x69YtBAQEIDg4uMwPXPKaZYSd+/fvw8PDgw7nYSg9PZ1WeBUBT+8y8oJqlR1XV1ekp6dTTomoYmNj0a5dO6nDkBUas+xRv2aP6pSd4n4N8JVXkybYQ4YMYRwGMUb79u0RGhoqdRiywstA5Q0dFske1So7rq6uyMjIoJwSUc2YMQMODg5ShyErNGbZo37NHtUpO66urtBqtdBqtVzl1aQJ9sKFC1nHQYyQkJBgWP2WsEHXFRdHbm6u1CHIDtUqO40bN0Z+fj7llIhGEASkp6fT5UoZozHLHvVr9qhO2bG3t0f37t2h1+u5yis/y7ERnDp1Cr///rvUYcgKnR8njsou4UdMQ7XKTqNGjdC8eXPKKRFNdnY2vvrqKxQWFkodiqzQmGWP+jV7VKfsKBQK9O/fH/b29lzl1aQJtk6nw/LlyxEWFgY/Pz94eHiU+iLiiIuLoxXEGaOF+sSRl5cndQiyQ7XKTkJCArZu3WoVOW3evDkePHhQ5v9EXBkZGQBoASnWrGHMmhv1a/aoTtn6/fffce3aNa7yatIE+4MPPsBnn32GESNGID09HXPmzMGwYcOgVCrx/vvvMw6RFCsoKICzs7PUYcgK5VMcGo1G6hBkh2qVHYVCgfPnz1vFFRnu3r2LgoKCMv8n4srMzOTq0xZe0Osge9Sv2aM6ZSspKQmxsbFc5dWkCfbmzZvx7bff4o033oBarcaoUaOwdu1aLFiwwLCUOmEvNTWVq+LiAZ17JA46LJI9qlV2HB0dUVhYaFiZlBDWMjMz6dBbEdDrIHvUr9mjOmXL0dER2dnZXOXVpEXO4uPj0bx5cwCAk5OT4Y+UAQMG4L333mMXHSnlrbfeohVJGaPD98ShVNLyDqxRrbJTPPHR6XQSR0Lkqm3btmjYsKHUYcgOvQ6yR/2aPapTtuzt7ZGens5VXk0aVbVq1UJcXBwAoH79+jhw4AAA4PTp07C1tWUXHTHQ6/V49OiR1GEQQgj3lEolnn/+eepXRDSpqanIysqSOgxCCOFes2bN0LZtW6nDqBaTJthDhw7FH3/8AQB47bXX8N5776FBgwYYP348Jk2axDRAUiQ3NxcrVqygT1wYo/MRxaHX66UOQXaoVtnq0KEDVCqV1GEQmTp69Cj+/PNPqcOQHXodZI/6NXtUp2wFBgaiXr16XOXVpEPElyxZYvj/c889h1q1auHvv/9G/fr1MWjQIGbBkX9ptVpoNBqo1Sb9ykgF7O3tpQ5BlqhO2aNaZWvTpk1o06YNXF1dpQ6FyJBWq6XaEgG9DrJH/Zo9qlO2bt++jePHj2PUqFFSh2I0JidePPXUU5gzZw5NrkWk1WqhUCigUCikDkVWMjMzpQ5BlvLz86UOQXaoVtnKzMxEfHy81GEQmcrLy6MjzkRAr4PsUb9mj+qULUEQEBsby1VeTX7b6saNGzhy5AgSEhLKHF6yYMGCGgdGSissLERAQIDUYciOua/bfvw40KWLeNtbCnOvnmsNeTV3rcqdvb29VVyeJjg42LAwTMn/E3HZ2NhQzxaBpb4O8tyDqF+zZ6l1yit7e3vk5ORwlVeTPsH+9ttv0aRJEyxYsAA7duzArl27DF+7d+9mHCIBgNq1a2P8+PFShyE7ycnJZtvX++8DXbsCS5cat/3SpUXb83hp+by8PLPty1ryas5atQYajQZJSUlShyG6S5cuoXbt2mX+T8Q1ZswYBAUFSR2G7Fji6yDvPYhZv757F9iwAfjii6J/794tswnvuTKWJdYpzzQaDQoKCvjKq2CCoKAgYcmSJaY8lDvp6ekCACE9PV3SOJKTk4Vbt25JGgMx3Z9/CgLw71dVw2fJktLb//mneeJkZfbs2WbZj7XllbATGxsrJCUlSR2GxfQYubCUfF69elXIzMyUNAYiPjn0oBr366goQejfXxAUitI/nEJRdHtUlCAI8sgVkUZ+fr5w/fp1qcMQBMH4HmPSJ9ipqal4/vnnWc7zSRViYmIQEREhdRiyY65PsLp0AUqsDYi33674HdylS4vuL7ZkCX+HR+Xm5pplP9aUV2v4tNWc/P39IQiC1GEQmdq1axeuXLkidRiyY2mvg3LoQTXq1zt3Fv0Qe/cWzYNLEoSi27t0AXbulEWujGVpdco7GxsbNGzYkKu8mjTBfv755w3Xvja3lStXok6dOrCzs0Pbtm2rvAzG0aNH0bZtW9jZ2aFu3bpYvXq1mSJlSxAEODo6Sh2G7Jhzlde5c6tuLuU1lblzzRMfS+a8vrC15JVWJGZrz549OHXqlNRhyJ4192was+xZYk5570Em9+vTp4FRo4DiRdJq1wYWLgQ2by76t1atotvz84u2O32a+1wZyxLrlGfZ2dl45513uJoHmbTIWf369fHee+/h5MmTaN68eZlFU2bNmsUkuCf99NNPeP3117Fy5Up07twZ33zzDfr27YsrV66Ue65TTEwM+vXrh6lTp+KHH37AX3/9henTp8Pb2xvDhw8XJUax6PV6WulRBNnZ2XBzczPb/oqbRHHzKP537lx5NJVi5r5WoTXk1dy1Knd6vR5ZWVlShyFr1t6ztVqt1GHIjqW+DvLcg0zu1x988O/kevx44NtvgZILR86fD0yZAmzaVLTdokXAnj1c58pYllqnvFIqldBqtcjIyODnEmimHH8eEhJS4VedOnVMeUqjhIWFCS+//HKp20JDQ4W333673O3feustITQ0tNRtL730kvDUU08ZvU9LOZ/r0qVLwtatWyWNQY5ycnIk2e+T5xZ5eFTv3CRL9+qrr0qyXznnVapalas9e/ZYxGuqpfQYMVhzz163bp1w+/ZtSWOQI0t/HeSxB5nUr2Ni/j3nunZtQdBqy99OqxWEWrX+PSf77l3DXTzmyliWXqe80Wq1wn/+8x+u1k0x6RDxmJiYCr/u3LnDcv5vkJ+fj7Nnz6J3796lbu/duzf+/vvvch9z4sSJMts/++yzOHPmTIXv2BW/Q1LyyxI0bdoUAwYMkDoM2XnyEnPm8uRhUikp//6f13dsSxIkOrdVznmVqlblSqVSobCwUOowRPXOO+/g4MGDyMnJMfu+rb1nT5o0Cb6+vlKHITuW/jrIYw8yqV8fOfLvOdeTJpX+5Lokjabo/qIdFT3u//GYK2NZep3yRqVSATD/0ZE1YfJ1sM0tKSkJOp2uTMPy9fVFfHx8uY+Jj48vd/vCwkIkJSXB39+/zGMWL16MDz74oMztb731FhQKBezs7JCXlwd7e3vk5ubC1tYWBQUFUKlUhgGlUqlQUFAAjUYDrVZbatv8/Hyo1WrDtkqlEoWFhWW2tbOzg1arhY2NDXQ6HXJycpCVlQVvb2/Y2NiU2TYvL88Qi1JZ9L6JIAhQqVTIz88XJW6dTlduLCXjVigUAIpebIq3LY6lqrgLCgpga2tbZdwV5bA47uJYyotbpVJBp9MZYtFoNFXGXV4sgiBUGXd5ObS1/RharZOhzmxtsxAX9y6mT6887id/9+aOu6p8Hz16FK+++ioUCkWVcRcWFhp+93q9Hmq1usqafTLusuNnOfLyHEvkNRuPHs3D9OlVjzWFQlFl3OYea8UTQUEQuIrbkl8jiidif/31l6RjrfhnEsPZs2fx1VdfQavVok2bNggPD0e3bt3QpUsXODk5Vf0ENWDtPTs+Ph6urq6ws7Oj8Sijnm1s3HZ2S0v1IDu7bNy9+wZmz7a8uP/66y/MnDnTqB5S3LO7X7yI5/7/Z9t48iROvPJKhXF3uHULxReZjVi/Hn+cOlUqFlvbRU/8HZSNBw/mYtYs48aaJfa+3NxcODo6che3pb5G2NnZISUlBR988AEUCgUXPdvoCfacOXPw3//+F46OjpgzZ06l23722WfGPm21FSeomCAIZW6ravvybi82b968Uj9fRkYGateujWXLlsHFxcXUsGvs+PHjuHLlCqZNmyZZDHKk1WrNuiBXSUuXAk+eoqfVOsHf/3Ou37kFgNdeew1ffPGFJPteuhR48rKeWq0jAgO/5DqvUtaqHB09ehSZmZmSHxmUkZGBlStXivLc+/fvh06nQ1RUFI4ePYojR45g5cqVyM3NRZs2bXDy5ElR9luStfbsBQsW4MUXX0TdunUli0GOeHgdLK8H5eU5IiRklUX2IJP69YYNwP8vWDj+qacwvrILVS9cCPz/wsjDJ03C8AkTDHeV/3eQI2rXXmGRuTIWD3XKE51Oh08++QTTpk2Dh4eHpLEY27ONnmBHR0cbPpqPjo6ucLvKGmdNeHl5QaVSlXnnOyEhocLDsPz8/MrdXq1Ww9PTs9zH2NraWuSgUCqVyHvyFZvUWHZ2tiS/7ycX8vDw+PfwqJILfvBKqsN45JxXqWpVrrKyspCcnCx1GKJTqVTo2LEjPDw84O7uDmdnZ+zevRu3b98Wdb/Us5XIzs6WOgzZsfTXQR57kEn9OjwcUCiKDvtev75oQbPyDhPPzy+6HyjaPjzccBePuTKWpdcpb/R6PZKSkpCVlSX5BNtYRh+bFhkZaVgRLzIyssKvw4cPixKoRqNB27ZtcfDgwVK3Hzx4EJ06dSr3MR07diyz/YEDB9CuXbsyK59bOhsbG+5i5oEUl1Iob5XM5GTjrw/JA01F52OJSO55pct+sKXX60U/TFpqq1atwgsvvAB/f3907doVBw4cQNeuXXH27FkkJiaKum9r79lqtZqf1W45Ysmvg7z2IJP6dUgI0K9f0f8fPChaLfzJK93k5xfd/vBh0ff9+wPBwQD4zZWxLLlOeVR86Li7u7vEkVQDq1XVzGHr1q2CjY2NsG7dOuHKlSvC66+/Ljg6Ogp3/39VwrffflsYN26cYfs7d+4IDg4OwuzZs4UrV64I69atE2xsbIQdO3YYvU9LWZH09u3bwk8//SRpDHKUmJho1v09uWrmk6tkVnU/L55cOVhs1pBXc9eq3O3cuVPYvHmz1GGI2mMUCoXg4+MjLF26VJIeZs09e+fOncKlS5ckjUGOLPV1kOceZHK/jooSBI3m3x+qVi1BWLBAEH74oejf4tXDgaLtoqIEQeA7V8ay1DrlVVZWlvCf//xHiI2NlToUo3uMSRPsIUOGCEOHDi3zNWzYMGH06NHCggULhGvXrpkUeFW+/vprITg4WNBoNEKbNm2Eo0ePGu6bMGGC0K1bt1LbHzlyRGjdurWg0WiEkJAQYdWqVdXan6U0a8I/Y5uGHJrL7NmzzbYva8orYSchIcEi/ggSs8fs2rVLmD17ttC6dWvB1tZWCAsLE9566y1h3759QmZmJvP9lYd6NpE73ntQjfp1RETpSXZ5XxpN0XYC/7ki0igoKBBu3rwp6PV6qUMRd4I9YcIEwdXVVQgODhaGDRsmDB06VAgJCRHc3NyEESNGCI0aNRJsbW2F48ePmxS8JbGUZp2QkCDs3LlT0hjkyFx/YP/5Z/WaxZPN5c8/zRImM+b6BNua8moJk0G5sYScmqvHpKWlCXv27BEmTJgg2NjYCBqNRtT9ScVSevaff/4pXLhwQdIY5MgSxmxJcuhBNe7XUVGCMGDAv9fFLv5SKIpu//9PruWQK2NZWp3KhSXkVdTrYPv5+WH06NG4c+cOIiIisHPnTty+fRtjx45FvXr1cPXqVUyYMAFzeV2dwAKlp6fjypUrUochO8XrCoitS5eihTQB467vWPL6kAsXFj2eJ+Za3MOa8mquWrUW3333Ha5fvy51GKJLSUnBrl27sGDBArzzzjvYtGkT3NzcMGjQIKlDk7ULFy5Icv1xubO010E59KAa9+v27YE9e4A7d4pWF//ii6J/Y2KKbm/fHoA8cmUsS6tT3j18+BAfffQRV3k16TrY69atw19//VXqWmBKpRKvvvoqOnXqhI8//hgzZ85E165dmQVq7WxsbGhFUhFkZmaabdGE998HevUyvknMnQt07sxXUymW/+RiJyKylryas1atQV5eHrRPXh9GZlq0aIErV67Aw8MDTz/9NKZOnYrw8HA0a9ZM6tBkT61WG661TtixxNdB3nsQs34dElL0VQnec2UsS6xTnmm1WigUCq7yatIEu7CwENeuXUPDhg1L3X7t2jXDhb/t7OxEu2SXNdJoNIZV9Ag75l7ltbpNgremUkytNumlxWTWkFdakZit/Px8ODs7Sx2GqKZNm0YTaonY2trS30AisNTXQZ57EPVr9iy1TnmVn58PjUbDVV5NGlXjxo3D5MmTMX/+fLRv3x4KhQJRUVH4+OOPMX78eADA0aNH0bRpU6bBWjNXV1e0adMGgiBQ02aooKAAdnZ2UochO/RmEHtUq2zl5+eXOgpLjmbOnCl1CFarefPm1KtFQK+D7FG/Zo/qlK3iCTZPeTVpgv2///0Pvr6+WLZsGR4/fgwA8PX1xezZsw3nXffu3Rt9+vRhF6mVc3BwQL9+/ahhM0b5JLygWmVr6tSphiOuCGGtTZs2yMrKkjoM2aHXQcIDqlO2mjRpguDgYK7yatLb9yqVCu+88w7i4uKQlpaGtLQ0xMXFYf78+VCpVACAoKAg1KpVi2mw1i4iIgIpKSlShyEr5j40ylrI/ZNBKVCtsiMIAlQqFRwcHKQOhcjU1atXcfz4canDkB16HWSP+jV7VKds6XQ6ODo6cpXXGo8qFxcXuLi4sIiFVOHGjRtIT0+XOgxZyc3NlToEWSosLJQ6BNmhWmUnLy8PH3zwAb2eEtFkZmbSlT9EQK+D7FG/Zo/qlK39+/dj//79XOXV5LcCduzYgW3btuH+/ftlViA8d+5cjQMjZbm5udFK4ozJfZEjqWg0GqlDkB2qVXaysrKgVqvh6ekpdShEphwdHekUBBHQ6yB71K/ZozplKysrC4GBgVzl1aRPsL/88ktMnDgRPj4+iI6ORlhYGDw9PXHnzh307duXdYzk/ymVSrquJmNpaWlShyBLcr/8kRSoVtnJysqCk5MTfYJNROPg4ECndImAXgfZo37NHtUpW9nZ2XBycuIqryZNsFeuXIk1a9ZgxYoV0Gg0eOutt3Dw4EHMmjWL/mARUZ8+fRAUFCR1GLLi5eUldQiyxNOlFHhBtcpOcbOmnBKxeHt7Y8iQIVKHITs0Ztmjfs0e1Slb2dnZcHR05CqvJk2w79+/j06dOgEoGpiZmZkAii7ftWXLFnbRkVJ8fX3h5+cndRiykpSUJHUIssTTeTK8oFplp1mzZnj11Vcpp0Q0Tk5OqFevntRhyA6NWfaoX7NHdcrW7NmzERoaylVeTZpg+/n5ITk5GQAQHByMkydPAgBiYmIgCAK76EgpsbGxiIiIkDoMWfHw8JA6BFni5TqFPKFaZScxMRFZWVmUUyKqHTt2IDY2VuowZIXGLHvUr9mjOmVHp9Ph3r17APjKq0kT7B49emDPnj0AgMmTJ2P27Nl45plnMHLkSAwdOpRpgORfWVlZuHv3rtRhyApP53PwhM7pYo9qlZ1Dhw4hKiqKckpElZycTOdhM0Zjlj3q1+xRnbKTlpaGVatWGf7PC5NWEV+zZg30ej0A4OWXX4aHhweOHz+OgQMH4uWXX2YaIPmXv78/V8XFA0dHR6lDkCUbGxupQ5AdqlV2kpOT0bBhQ6vOaY8ePdC9e3f85z//oeuBi8Tb2xupqalShyEr1jxmxUL9mj2qU3ZSUlLg5uYGpVLJVV5NmmArlcpSF6YfMWIERowYwSwoUj57e3vk5uZCq9XC1tZW6nBkgXIpDro8DXtUq+ykpqbC09PTqnMaHByMw4cPY+3atYbD7whbjo6O9KY4Y9Y8ZsVC/Zo9qlN2UlJSDIeG85RXk6+DnZeXhwsXLiAhIcHwaXaxQYMG1TgwUpaTkxOmTJkClUoldSiyQbkUh0KhkDoE2aFaZUOv10Oj0cDDw8Oqc/rdd98BKDr1iIijU6dOXH3iwgNrHrNioX7NHtUpOzqdDgEBAQD4yqtJE+z9+/dj/Pjx5a7mplAo6N0wkahUKoSGhpZ5Q4OYruSRGIQdatjsUa2yoVQqMXfuXAC0ei5Q9MYtEYefnx83n7bwgl4H2aN+zR7VKTvFV60C+MqrSZHOnDkTzz//POLi4qDX60t90eRaPFqtFlu3bsWff/4pdSiyQYt7iINeB9ijWmUjOTkZV65cASD/nN69exebNm3Cf//7X8ybNw+fffYZIiMjkZeXJ3VoVuHRo0d4//336eoqDMl9zEqB+jV7VKfsXLhwAenp6QD4yqtJn2AnJCRgzpw58PX1ZR0PqYSjoyNcXV3x+PFjqUORDTp8Txy0aAp7VKtsXLt2DVevXkWTJk1km9Mff/wRX375JaKiouDj44PAwEDY29sjJSUFt2/fhp2dHcaMGYO5c+ciODhY6nBlKzAwELm5ucjIyICrq6vU4ciCXMeslKhfs0d1yk5ERAQmT54MV1dXrvJq0ifYzz33HI4cOcI4FFKV9PR0+Pj4ICEhQepQZKP4XTHCFk/vMvKCapWNx48fw8/PD4A8c9qmTRt89tlnGDt2LO7evYv4+HicPXsWx48fx5UrV5CRkYGff/4Zer0e7dq1w/bt26UOWbays7Ph4eFBPZshOY5ZqVG/Zo/qlI2srCxkZ2cbPtDlKa8mfYK9YsUKPP/88/jzzz/RvHnzMu9+zZo1i0lwpDQvLy/k5uYiISEBgiDQeTMMeHl5SR2CLNnb20sdguxQrbIRFxeHsLAwAPLM6X//+1/079+/wvttbW0RHh6O8PBwfPjhh4iJiTFjdNbFy8sLPj4+ePz4MRo0aCB1OLIgxzErNerX7FGdshEfHw93d3fDWhY85dWkCfaPP/6I33//Hfb29jhy5EipiZ5CoaAJtkiSkpIQEBCAN998U+pQZCMpKYmrAcsLWjyKPapVNvz8/FC7dm0A8sxpZZPrJ3l5ecnu57ckSUlJGDlyJOzs7KQORTbkOGalRv2aPapTNhQKBVq3bm34nqe8mjTBfvfdd7Fo0SK8/fbbXK3oxjtPT08oFAoIgoC8vDx615EBT09PqUOQJfqDkj2qVTaGDx9u+L/cczpmzBh069YN4eHhaNiwodThWB1PT0/odDqkpaVx80ehpZP7mJUC9Wv2qE7ZqFevHurVq2f4nqe8mjQ7zs/Px8iRI2lybWYpKSkAgK1btyI6OlriaOShOKeELVqlmD2q1Zp79OhRqfVD5J5TJycnfPbZZwgNDUVAQABGjRqF1atX49q1a1KHZhVSUlLw6NEjrFixglYSZ0TuY1YK1K/Zozpl49ChQ4iPjzd8z1NeTZohT5gwAT/99BPrWEgVXFxcAAC1atXCw4cPJY5GHopzStiia7+yR7Vac3fu3MGdO3cM38s9p9988w2uXbuG2NhYfPbZZ3B1dcUXX3yBpk2bwt/fX+rwZM/FxQUBAQHIzs5GRkaG1OHIgtzHrBSoX7NHdVpzgiDg6NGjpS4jx1NeTTpEXKfTYdmyZfj999/RokWLMoucffbZZ0yCI6Xl5OTA1dUVtWvXxsGDB6UORxaKc0rYKigokDoE2aFarbnY2NhSE0tryamzszPc3d3h7u4ONzc3qNVqw0rqRDzF9eXn54cHDx5YRa2JzVrGrDlRv2aP6rTm0tLSoNVq4ePjY7iNp7yaNMG+ePGi4aTzS5cuMQ2IVKz4jYzatWsjNzcXer2eDtOvIbr+ozioLtmjWq25+/fvo1+/fobv5Z7TuXPn4ujRo/jnn3/QrFkzPP3005g3bx6efvppuLm5SR2e7BXXV0hICFeXl7Fkch+zUqB+zR7Vac3dv38f/v7+pXLJU15NmmBHRkayjoNUg5ubG9555x2pwyCEEG4IgoCwsDCEhIRIHYrZfPLJJ/D29sbChQsxePBgNG7cWOqQrFLJhfUIIYRUzcvLCz169JA6DJNVa4I9bNiwKrdRKBSIiIgwOSBSscLCQsP/79+/DwAICgqSKhxZKJlTwg4t6MMe1WrNKBQKdOvWrdRtcs9pdHQ0jh49iiNHjuDTTz+FSqUyrCoeHh5OE26RFddXfn4+zp8/j/bt25e6rCmpPrmPWSlQv2aP6rTmAgMDERgYWOo2nvJarQk2L8e9y1XJSylcuXIF6enpNMGuIbo8hThU/9fefYdXVaZrA79Xem+EVEhoCb23hBaKhqqIiKjIAY8yOgOoyOinZ8ZRj23UsY0NFQZUVFABsTAoKIEgRUSiNClCQgiB9N6z1/cHJ3sIaTvJu/Za79r377q4Zgi7PLl93jx5995rLWdnvUswHfZq++zevRsVFRW45pprrF8ze6YDBw7EwIEDce+99wIAfvnlF7zyyiu49957YbFY6p08hsSr6y9FUfDZZ58hJiYGgYGBOlclN7OvWT1wXovHPm0fi8WCV199FXfddRd8fX2tX5cp11ZtsFevXq1VHWSD4uJi6zXgOnfujMOHD+tckfyuzJTEqaqq0rsE02Gvts+pU6fQrVu3el9zhEwPHTqEpKQkJCUlITk5GUVFRRg0aBAmTJigd2mmV9dfrq6uCAsLw7lz57jBbidHWLP2xnktHvu0fS5evIicnBz4+PjU+7pMubbpGGzSx5WDuWvXrsjKykJJSUmDBiTb8Zcdbcj0KqMs2Kttp6oqzp07h/Hjx9f7utkzDQwMRElJCQYOHIjx48dj0aJFGDdunFSXOpHZlf3VrVs3nDlzBgMHDtSxIvmZfc3qgfNaPPZp+6SlpaFz584NDqmRKVdusCWSl5eH4OBgAICXlxfi4+NRXl7ODXY7XJkpiVNRUaF3CabDXm27vLw8lJWVoVOnTg2+buZMP/jgA26odXRlf/Xt2xfp6ek6VyQ/s69ZPXBei8c+bZ/U1NRGT0gqU67cYEvk6qay5aRz1DxZFqpsPD099S7BdNirbefv74/Fixc3uMSH2TOdMWOG3iU4tCv7KyYmBjExMTpWYw5mX7N64LwWj33aPomJiXBxabhFlSlXXvxOIjk5OfX+np2djY0bN+pUjTlcnSmJUV5erncJpsNebbvy8nJ07ty5wdfNmOk999xj8zul69evx4cffqhxRY7r6v76/vvvcerUKZ2qMQczrlm9cV6Lxz5tu8rKSvj6+jZ6Ym2ZcuUGWyJXN5uHhwf27t2LsrIynSqSH8+Mrw13d3e9SzAd9mrbqKqKl156CampqQ3+zYyZduzYEf369cPUqVPx1ltv4cCBA8jIyEBubi5Onz6NL774Ag899BCioqLwyiuvYMCAAXqXbFpX91dBQQGOHj2qUzXmYMY1qzfOa/HYp233888/N3lSbZly5QZbIqWlpfX+7uvri5CQEJw5c0aniuR3daYkRnV1td4lmA57tW2ysrJQUVHR6DvYZsz0ySefxKlTpzBu3DisWLECcXFxiIqKQkhICHr27In/+q//wpkzZ7By5Urs3bsX/fv317tk07q6v7p378553U5mXLN647wWj33adqdPn0b37t0b/TeZcuUx2BJp7FXG7t274/Tp0+jXr58OFcmPr9xqg9fVFI+92janT59G165dGz2ey6yZhoSE4JFHHsEjjzyCgoICpKWloby8HMHBwejevXuDM7OSNq7ur27dumHt2rUoLS2Ft7e3TlXJzaxrVk+c1+KxT9tGVVWcPn0aY8eObfTfZcqVG2yJ1NbWNvhafHw8KisrdajGHBrLlNrPYrHoXYLpsFfbJisrCz169Gj03xwh04CAAAQEBOhdhkO6ur98fX0xb948bmjawRHWrL1xXovHPm2b/Px8ODk5NfqJM0CuXLnBloiqqg2+Fh4eDlVVUVtby6HdBo1lSmRE7NW2mTVrVpPZOUKmFRUV+PXXX5GVldXgF+nrr79ep6ocQ2P9NWjQIKl+STQaR1izJD/2adsEBQXhb3/7W5OfspIpV26wJeLm5tbo19etW4fIyEiMGzfOzhXJr6lMqX34Yo947NXWu3jxIoqKihAbG9vov5s9061bt+K//uu/Gj3zqqIo3OhprLH+unTpElasWIFHH30UTk48DU5rmX3N6oHzWjz2adv89NNP6N27d5OH0MiUK3+6S6Spg/s7d+6M48eP27kac5DphAky4UlTxGOvtt7+/fvx66+/NvnvZs90yZIlmDNnDjIzM2GxWOr94eZae431V8eOHWGxWJCWlqZDRfIz+5rVA+e1eOzT1istLcUnn3yCmpqaZm8jC26wJdLU6el79+6NM2fO8FjsNpDplP8ykelVRlmwV1tHVVUcPXoUffv2bfI2Zs80KysLDzzwAEJDQ/UuxSE11l9OTk7o1asXXxRvI7OvWT1wXovHPm2948ePIzIystnsZMqVG2yJ5OfnN/r1Dh06oEOHDnxFvA2aypTahy/2iMdebZ1Lly6huLi4yROcAebP9KabbkJSUpLeZTispvqrd+/e+P333+1cjTmYfc3qgfNaPPZp6x07dgx9+vRp9jYy5cpjsCUSHBzc5L/dd999Up2+3iiay5TaztPTU+8STIe92jqqqiIxMRGurq5N3sbsmb7++uuYM2cOkpOT0b9//wZZ3HvvvTpV5hia6q/+/fvz+uNtZPY1qwfOa/HYp60XERHR4s9FmXLlBlsiOTk5TTaXq6srfvnlF/Tt27fR671S45rLlNquvLxc7xJMh73aOuHh4QgPD2/2NmbP9KOPPsI333wDT09PJCUl1Tszq6Io3GBrrKn+cnZ2Rm5uLoqKitC1a1cdKpOX2desHjivxWOftt4111zT4m1kypUfEZdIYGBgk/+mKAq+/vprnDx50o4Vya+5TKnt+GkK8dirtisoKMCbb77Z4vVdzZ7pX//6V/zv//4vCgsLkZqairNnz1r/nDlzRu/yTK+5/jpz5gw2b95sx2rMwexrVg+c1+KxT1vnq6++QkpKSou3kylXbrAlUlRU1OS/KYqCgQMH4pdffrFjRfJrLlNqu6qqKr1LMB32qu0OHToEV1fXFi+DZPZMq6qqMHfuXF4OSifN9Ve/fv2QmZnZ6CXUqGlmX7N64LwWj31qu5qaGuzbt8+mzbNMuXLqSqSl42QGDhyII0eONHuKe6qPxx5pg4cpiMdetd2hQ4cwePDgFm9n9kwXLFiA9evX612Gw2quvzw9PdGzZ89mLyNHDZl9zeqB81o89qntTpw4AS8vL0RFRbV4W5ly5aqSSHV1NTw8PJr898jISAwdOhRlZWXw8/OzY2XyailTapuWPppLrcdetU1WVhaysrLQr1+/Fm9r9kxra2vx/PPP45tvvsGAAQManOTspZde0qkyx9BSf8XHx0v1jowRmH3N6oHzWjz2qe3qXhC/8hwhTZEpV26wJdJS8ymKghtvvNFO1ZiDLQuayAjYq7bp2LEjHnjgAZuGsNkzPXz4sPWd/CNHjtT7N7N/70bQUsa9e/e2UyXmwb4lGbBPbTdr1iyoqmrTbWXKlRtsidjyMZ6KigqsXLkSd911lzSv8uiJH43SBo/5FI+92jJVVXHu3DmbPmoGmD/THTt26F2CQ7Olv/bu3Yvy8nJMnDjRDhXJz+xrVg+c1+KxT22TnZ0NLy8v+Pj42HR7mXLlqpKILZdS8PDwQG1tLQ4dOmSHiuTHy1Nog+cBEI+92rL09HS8++67qK2tten2zJS0ZEt/BQQE4IcffuDHdG3ENSse57V47FPbbN68Gfv377f59jLlKs9LAQRfX1+bbjdixAj8+OOPiI+P17gi+dmaKbWOm5ub3iWYDnu1Zfv378egQYNsfpXbrJnaeqjQxo0bNa7EsdnSXz179oSqqjhx4gQ/Mm4Ds65ZPXFei8c+bVlBQQFOnTqFOXPm2HwfmXLlO9gSKSgosOl2gwcPxsWLF3Hp0iVtCzIBWzOl1qmsrNS7BNNhrzavsrIShw4dQlxcnM33MWum/v7+Nv0hbdnSX05OThg+fDh++ukn7QsyAbOuWT1xXovHPm3Zjz/+iJ49e7ZqFsmUK9/BlkhwcLBNt/Pw8MCf//xnBAUFaVyR/GzNlFpHpkspyIK92ryioiIMHDgQnTp1svk+Zs109erVepdAsL2/EhISpDp5j57Mumb1xHktHvvUNqNHj27V7WXKle9gSyQnJ8fm2wYFBeH06dM8tqYFrcmUbCfTcTKyYK82r2PHjpg7d26r7sNMSUu29peXlxdqa2uRnp6ucUXy45oVj/NaPPZpyxITE9GzZ89W3UemXLnBlkhr35H+7LPPcPToUY2qMQe+y68NnsFePPZq0zIyMrB27VqbL/VRh5mSllrTXydOnMC6deta3cOOhmtWPM5r8dinzduwYQNOnz7d6vvJlCs32BJpzbEHiqIgPj4eu3fv1q4gE5DpeA6Z8Jgu8dirTdu/fz/c3Nxa/TFbZkpaak1/DRgwAMXFxW36pdORcM2Kx3ktHvu0aYWFhfjxxx/RoUOHVt9Xply5wZaIt7d3q24/cuRInD9/HhkZGRpVJL/WZkq2cXV11bsE02GvNq6iogIHDx5s1cnN6jBT0lJr+svV1RXx8fFITk7WsCL5cc2Kx3ktHvu0afv370dMTAwCAwNbfV+ZcuUGWyKtfZXR09MTU6dORXV1tUYVyY+v3GrD1usQk+3Yq407ePAgwsLCEBUV1er7MlPSUmv7a9SoUejQoQM/Jt4MrlnxOK/FY582zmKxYO/evRg3blyb7i9TrjyLuEScnZ1bfZ+6JlZVlWcpbURbMqWWsdfEY682Li4uDn379m3TfZkpaam1/eXv74+ZM2dyg90MrlnxOK/FY582zsnJCUuWLGnzsdQy5cp3sCXi5NS2/1zffPMNtm/fLrgac2hrptQ8Dmzx2KsNpaenIy8vDwEBAW26PzMlLbWlv4qLi/Hcc8+hoqJCg4rkxzUrHue1eOzThlRVxa+//oqAgIA295xMucpTKaGqqqpN94uOjsaePXt4ya5GtDVTah4/ciYee7U+VVWxceNG/Pbbb21+DGZKWmpLf/n6+sLLyws//fSTBhXJj2tWPM5r8dinDZ04cQKbNm1q1yd0ZMqVG2yJeHl5tel+PXv2hJeXF37++WfBFcmvrZlS83jSFPHYq/WlpqYiOzsbI0aMaPNjMFPSUlv7a9y4cdi1axc3Po3gmhWP81o89mlDO3fuxOjRo+Hi0vajk2XKlRtsiRQWFrbpfoqiYOLEidxgN6KtmVLzZDoRhSzYq/Xt3LkTcXFxcHd3b/NjMFPSUlv7a8CAAXB2dkZqaqrYgkyAa1Y8zmvx2Kf1XbhwAampqYiPj2/X48iUK09yJpHg4OA233fw4MEYNGiQuGJMoj2ZUtM8PT31LsF02Kv/oaoqoqOjMWTIkHY9DjMlLbW1v5ycnPDAAw/wncVGcM2Kx3ktHvu0PicnJ1x//fXtvsyWTLnyHWyJ5OTktPm+Tk5OqKysxJYtW3iG0iu0J1NqWnl5ud4lmA579T+qqqowYcIE+Pv7t+txmClpqT395erqiiNHjrTrHANmxDUrHue1eOzT/6isrERoaGi7370G5MqVG2yJdOjQoV33d3Nzw8GDB3H48GFBFcmvvZlS4zw8PPQuwXTYq5ddvHgRTz/9tJCTnTBT0lJ7+6uoqAhfffUVXxS/AteseJzX4rFP/+OTTz7Bjh07hDyWTLlygy2RvLy8dt3fxcUFEyZMwPbt2zmw/097M6XG8RIz4rFXL9u2bRsGDRoENze3dj8WMyUttbe/RowYgbKyMhw9elRQRfLjmhWP81o89ullFy9exNGjR9t9OFcdmXLlBlsifn5+7X6MkSNHori4GMePHxdQkfxEZEoNtefEU9Q49up/hvXEiROFPB4zJS21t79cXFwwfvx4bNu2jS+K/x+uWfE4r8Vjn162bds2jBgxAgEBAUIeT6ZcucGWSFlZWbsfw9XVFQsXLkT37t0FVCQ/EZlSQ9XV1XqXYDrsVSAjIwOjR48WNqyZKWlJRH/Fx8dj1qxZUBRFQEXy45oVj/NaPPYpUFNTg8LCQmEviANy5coNtkREnVE0OjoaNTU1OHfunJDHkxnP0qoNJyf+aBGNvQoMHToU1113nbDHY6akJRH95erqiujoaJw8eZLXxQbXrBY4r8Vjn17+BM6SJUuEvSAOyJUrV5WDOnHiBN5//33U1NToXQoRUbNUVcXatWtx5swZvUshsjtVVfH5559j//79epdCRNSi1NRUfPDBBw59aIs0G+z8/HzMnz8f/v7+8Pf3x/z581FQUNDsfRYuXAhFUer9iYuLs0/BGhC5GR48eDC8vLzwww8/CHtMGfEFBm048g9VrThyr544cQInTpxAeHi40Md15Ey1xpktrr+cnJwwbdo0bNu2DZWVlUIeU1Zcs+JxXovnyH2qqiq+/PJLhIWFCT+0RaZcpdlg33bbbUhJScHWrVuxdetWpKSkYP78+S3eb8qUKcjMzLT+2bJlix2q1YbISykoioLp06fju+++c+hrIPLyFNpwdnbWuwTTcdRetVgs+Oqrr3DttdfC09NT6GM7aqb2wJkttr/69u2LoKAgJCcnC3tMGXHNisd5LZ4j9+mvv/6K/Px8JCQkCH9smXJ10bsAWxw/fhxbt27Fvn37MHLkSADAu+++i/j4eJw4cQI9e/Zs8r7u7u4ICwuzV6maKi4uFnoNuNjYWCQmJgp7PBmJzpQuE3GNYqrPUXs1LS0NNTU1GDVqlPDHdtRMtcaZfZnI/lIUBTNnzpTqJD9a4JoVj/NaPEfu0/3792PKlClCLqV5NZlyleId7L1798Lf3986qAEgLi4O/v7+2LNnT7P3TUpKQkhICGJjY7Fo0SJkZWU1e/vKykoUFRXV+2MUgYGBQh9PURSMGTMGTk5OKC4uFvrYshCdKV0m06uMsnDUXu3atSuWL18OFxfxrwc7aqZa48y+THR/RUVFoVevXsjNzRX6uDLhmhWP81o8R+7TO++8E8OGDdPksWXKVYoN9sWLFxESEtLg6yEhIbh48WKT95s6dSo+/PBDfP/993jxxRdx4MABTJw4sdljmJ599lnrMWP+/v7o3LkzgMuv8OXm5sJisSAnJwcAkJOTg+rqahQUFKC8vBwlJSUoLi5GZWUl8vLyUFtbW++2tbW1yM/PR0VFBYqLi1FSUoKKigrk5+ejpqam3m0tFgvy8vKsvzyUlpYiMzMThYWFqK6urndbVVWRm5uL6upqFBYWoqysDGVlZSgqKmqy7pqaGmvdX3zxBT744INW1V1eXo6CgoIm666qqrLWXVZWVq9uVVXr/e+VdZeWllrrzsvLa7buurzrMmys7roMm6o7Ly/PWndubq617roM6+rOzc211nvlf/vCwkKUl5db667LsLG66zJsT91X/7dva911Gban7qv/219dd2lpaZN11/VsVVVVvZ4tLCy09mxr6r46wyvrbstaa6nu1qw1UT8jsrOzbapbi58RbalbxM+I5ORk7N27FwA0+RlR9zOguZ8R7V1rtvyMMBvObO1mdnZ2Np555hkcP36cM5szW8jMrus9zmxxPyPqPnnlSDP73Llz+OSTT5CdnY3a2lrObFVHjz32mAqg2T8HDhxQn376aTU2NrbB/Xv06KE+++yzNj/fhQsXVFdXV3XDhg1N3qaiokItLCy0/klPT1cBqIWFhW36HmVQUlKi/vWvf1WPHTumdylkEsuWLdO7BJJcTk6O+vDDD6vnzp3TuxRNFRYWSjNjOLONYevWreqrr76qWiwWvUshE+C8JhE++eQTddWqVXqXoTlbZ7aux2AvWbIEt9xyS7O36dKlC3799VdcunSpwb9lZ2cjNDTU5ucLDw9HdHQ0Tp061eRt3N3d4e7ubvNj2lNOTg6Cg4OFP663tzemTp2Kzz//HDExMZp8FNOotMrU0TnyifO04ki9qqoqNm3ahGHDhlnfkdSCI2UqAmd262jVXxMnTsSBAwdw4MABjBgxQvjjGxnXrHic1+I5Wp+mpaXh559/xoMPPqjp88iUq647qeDgYJuCio+PR2FhIX788UfrMNm/fz8KCwtbdeKb3NxcpKenC7/Ui72IvFj71eLi4pCfn4+qqiqH2mBrmakjM+ovvDJzpF5NT0/H+fPnMW/ePE2fx5EyFYEzu3W06i9XV1fMnj0b1dXVmjy+kXHNisd5LZ6j9en27dsxadIkBAUFafo8MuUqxTHYvXv3xpQpU7Bo0SLs27cP+/btw6JFizBjxox6ZyPt1asXNm3aBAAoKSnBn//8Z+zduxepqalISkrCddddh+DgYMyaNUuvb6VdSkpKNHtsJycnTJ8+He7u7g51llItM3VkjviLn9YcqVejoqLw4IMPCr8s19UcKVN74sy+TMv+6t27NwYMGOBwJyjlmhWP81o8R+vTefPmYfz48Zo/j0y5SrHBBoAPP/wQ/fv3R2JiIhITEzFgwAB88MEH9W5z4sQJFBYWArh8Xb/Dhw9j5syZiI2NxYIFCxAbG4u9e/fC19dXj2+h3ezxKuPWrVuxbt06qKqq+XMZAV+51Qavqymeo/Tqrl27kJqaCm9vb82fy1Ey1QNntvb9VVZWhr///e9IT0/X9HmMhGtWPM5r8RylT4uKirB582a4ubnZ5dOvMuUqzWeBg4KCsHbt2mZvc+Wm0NPTE998843WZdlVbW2t5s8xYcIEPP/880hJScHgwYM1fz692SNTR2SxWPQuwXQcoVczMzPx73//G/fee69dns8RMtULZ7b2/eXl5YUJEyZg/fr1WLZsmUNslLhmxeO8Fs9R+vSLL74AcPlTsPYgU67SvINNsMu7yl5eXpg1axY+//xzqT6K0VaO8k49yc/svVpbW4t169Zh7Nixdjvm1uyZkr7s0V8TJkyAk5MTvvvuO82fywi4ZkkGjtCnR44cwYkTJ3D99dfb7TllylWad7AJcHNzs8vzDBgwAFlZWaipqbHL8+nJXpk6Gkd4J8XezN6rR44cQU1NDRITE+32nGbPlPRlj/5ydnbG3Llzce7cOc2fywi4ZsXjvBbP7H2qqir+/e9/44YbboCfn5/dnlemXLnBlkhpaaldjj9QFAXXXnut9SLtHTp00Pw59WKvTB0NT5ointl7dcCAAXa/TKDZMyV92au/IiMjERkZidzcXAQGBtrt45p64JoVj/NaPLP3qaIoWLx4seYnIr2aTLma96ewCfn7+9v1+Y4fP4433njD1NdItHemjkKmVxllYdZera2txUcffYT8/Hx4eXnZ9bnNmikZgz37S1VVvPfee9i1a5fdnlMPXLPicV6LZ+Y+PXLkCHbs2AEvLy8oimLX55YpV26wJZKfn2/X5+vTpw8iIiKsl1ExI3tn6igqKyv1LsF0zNqrO3bsQEZGhl0/ZlbHrJmSMdizvxRFwY033ohvvvkGmZmZdntee+OaFY/zWjyz9mlZWRk+++wz3Ta6MuXKDbZEgoOD7fp8iqLg5ptvxokTJ3Dw4EG7Pre92DtTR2Hvjw05AjP26oULF/Ddd9/hlltusetHw+uYMVMyDnv3V5cuXZCQkIAPP/zQtB/75ZoVj/NaPDP2qaqq2LhxI6Kjo3W7ypBMuXKDLZGcnBy7P6efnx9uv/12u53V1970yNQRmPmwAr2YsVd/+OEHTJgwAZ07d9bl+c2YKRmHHv117bXXYtSoUaY9DptrVjzOa/HM2Ke5ublIT0/HTTfdZPePhteRKVee5EwigYGBujxvTEwMVFXF0aNH0bt3b1MNbr0yNTtZTkIhE7P1qqqqmD17tq41mC1TMhY9+svZ2RmjRo1CUVER8vPzER0dbfcatMQ1Kx7ntXhm61NVVREcHIyHHnpI17POy5SreXZKDqCoqEi3566trcWWLVuwfft23WrQgp6ZmllVVZXeJZiOmXr10KFDWLNmDZycnHR9wc5MmZLx6Nlfp06dwurVq1FcXKxbDVrgmhWP81o8M/VpTU0NXnvtNaSlpel+STeZcuUGWyJ6Hifj4uKCefPmYceOHUhNTdWtDtF47JE29Die1uzM0qu5ubnYsGEDRowYoXcppsmUjEnP/hoyZAh69OiB9evXQ1VV3eoQjWtWPM5r8czUp19++SUAoFOnTjpXIleu3GBLRO+TlkRERGDatGlYu3YtampqdK1FFL0zNSuLxaJ3CaZjhl6tra3Fhx9+iKFDh6Jv3756l2OKTMm49OwvRVEwe/ZsZGVlYd++fbrVIRrXrHic1+KZpU+PHj2KgwcPYt68ebq/ew3IlStftpKIXicVuNKYMWPQvXt307ziaYRMiWxhhl4tLS1FUFAQrrvuOr1LAWCOTMm49O4vT09P/OEPf4Cvr6+udYikd6ZEtjBLn+bl5WH27Nno0KGD3qUAkCtXvoMtESO8eqQoCiIiIvD777/ju+++07ucdjNCpmZkphPhGYXsvZqVlQVfX1/cfvvthnmBTvZMydiM0F/BwcFwdXXFhg0bUFBQoHc57WaETM2G81o82fu0uroa+fn5GDt2rG6X5GqMTLlyVUmksrJS7xKsfH198f333+PIkSN6l9IuRsrUTGpra/UuwXRk7tULFy7glVdewYULF/QupR6ZMyXjM0p/OTk5wWKx4P3335f+8C6jZGomnNfiydynqqrik08+webNm/UupQGZcuUGWyI+Pj56l2AVEhKCuXPnYt26dcjOzta7nDYzUqZm4urqqncJpiNrr5aVlWHNmjWYOHEiIiMj9S6nHlkzJTkYqb9mzZoFi8ViyF+aW8NImZoF57V4MvdpcnIyzpw5o/tlNBsjU67cYEvEaB/vGjBgAOLi4pCSkqJ3KW1mtEzNQqZXGWUha69+/PHHiIiIwKRJk/QupQFZMyU5GKm/XFxcsGDBApw9exYlJSV6l9NmRsrULDivxZO1T1NTU/Hvf/8bCxYsMOS5G2TK1RgHwpFNgoOD9S6hgenTp0NRFJSXl8Pd3V26Y3mMmKkZyHQpBVnI2quTJk1CeHi4IU9OImumJAej9VdgYCCWL18ORVFQWloKb29vvUtqNaNlagac1+LJ2qeRkZG46667EBUVpXcpjZIpV7l2Qw4uJydH7xIaqPulef369VJ+9MyImZpBeXm53iWYjmy9euDAARw7dgxdunSBu7u73uU0SrZMSS5G7C9FUZCRkYHnnntOysO7jJip7DivxZOtTysqKvD5559DVVV0795d73KaJFOu3GBLJCgoSO8SmnT99dfjl19+we7du/UupVWMnKnMPDw89C7BdGTq1ZMnT2Ljxo2G3VjXkSlTko9R+ysyMhIjR47EqlWrUFZWpnc5rWLUTGXGeS2eTH1aW1uL9957Dzk5OYa5wkdTZMqVG2yJGPnYg6CgINxxxx3YsmULTp48qXc5NjNypjLjMV3iydKrmZmZeP/993HTTTcZ+pVwQJ5MSU5G7q9p06YhPDwc7733HlRV1bscmxk5U1lxXosnS5+qqorPPvsMpaWlmD9/vuEP85QlV4DHYEvF6GfPi46Oxh133GG4MwU3x+iZyopnJRVPll49duwYEhISMHToUL1LaZEsmZKcjNxfiqLgtttuw6lTpwx5foSmGDlTWXFeiydLn5aUlCA7Oxt33nmn4T9xBsiTK8B3sKVSUVGhdwktiomJgaenJ77++mvk5eXpXU6LZMhURryupnhG79XKykoUFxdj0qRJuOaaa/QuxyZGz5TkZvT+cnV1RZ8+fZCRkYHvv/9e73JsYvRMZcR5LZ4MfZqbmwtfX18sXrwY/v7+epdjExlyrcMNtkScnZ31LsFm1dXVePvtt1FcXKx3Kc2SKVOZyPSOiCyM3Ks1NTV477338PXXXwOQ57+/kTMl+cnSX25ubti5cyd27typdyktkiVTmcjy81omRu/TkydP4h//+AdycnKk+u9v9FyvxA22RGRZBIqiYObMmYiOjsa7775r6DNUypIpkVF71WKxYO3atSgvL8cNN9ygdzmtYtRMyRxk6a+OHTti0aJF2LZtGw4cOKB3Oc2SJVNybEbu07Nnz+K9997DzTffLNVlrwBj53o1brAlUl1drXcJNlMUBXPnzkVoaKihLwUiU6YysVgsepdgOkbt1e+++w45OTlYtGiRdGejNWqmZA4y9VenTp2wcOFC/P7774Y+6ZlMmcqC81o8o/ZpeXk5Vq9ejeuuuw6DBw/Wu5xWM2qujeFJziTi5eWldwmt4uzsjHnz5gEAUlNT0blzZ8N9vEO2TGXBk6aIZ7RerfslfMyYMYiLizNcfbaQsWaSh2z91aNHD/To0QOVlZXIyspC586d9S6pAdkylQHntXhG7FNVVeHp6YklS5YgJCRE73LaxIi5NoXvYEuksLBQ7xLaxGKxYPPmzfjoo48MdzINWTM1Ol72Qzyj9erWrVvx1VdfwdPTE76+vnqX0yZGy5TMRdb+On36NFasWIGzZ8/qXUoDsmZqZJzX4hmtT/Py8vDiiy+ioKBA2s01YLxcm8MNtkQ6dOigdwlt4uTkhDvvvBNZWVn48MMPDbXJljVTo5Pto8IyMFKvbt++Hfv378fIkSP1LqVdjJQpmY+s/dW3b1/MmDEDK1euNNwmW9ZMjYzzWjwj9WlBQQFWrFiBHj16SHO28KYYKdeWcIMtkdzcXL1LaDMfHx/cc889yM7OxuHDh/Uux0rmTI1MpkspyMIovfrdd99h9+7duPvuu6V+JRwwTqZkTjL3V3x8PK677jps2LDBUMfoypypUXFei2eUPi0qKsIbb7yBnj17YubMmVKdJKwxRsnVFjwGWyIyvXLTGG9vbyxduhSurq4oLi6Gl5eX7sdky56pUfEVcfGM0qvdu3dHv379EBoaqncp7WaUTMmcZO+vuLg4DBkyBE5OTigoKEBAQIDeJUmfqRFxXotnlD718fFBYmIihg0bJv3mGjBOrrbgO9gSkemVm6a4ublBURRs2rQJH3zwge4fFzdDpkbEV8TF07NXVVXFV199haNHj6JLly6m2FwDXP+kLTP0l5ubGzIzM/HCCy/g999/17scU2RqNJzX4undp5cuXcL7778Pi8WC4cOHm2JzDeifa2twgy0R2Y+duNJNN92E/Px8rFmzRtfT7pspUyNxd3fXuwTT0atXVVXFpk2bkJKSgrCwMF1q0ArXP2nJLP0VHh6OmTNn4l//+hd+++03XWsxS6ZGwnktnp59mpmZibfeegshISG6f0pUNJnWPzfYEikrK9O7BGG8vLxwzz33oKKiAl9//bVudZgpUyOR6VqFstCjV1VVxaefforffvsNixcvlurjWbbg+ictmam/RowYgTlz5uCDDz7Q9Uy+ZsrUKDivxdOrT8+fP4+33noLo0ePxpQpU0zzznUdmdY/j8GWiNmuVejp6Yk//OEPqKmpgcViQVlZGXx8fOxag9kyNQonJ752J5oevaooCiIiIjB58mSpXjm2Fdc/acls/TVo0CB069YNfn5+KCoqgp+fn91rMFumRsB5LZ5eferl5YWpU6ciPj5el+fXmkzrn6tKIqqq6l2CcK6urvD09MTPP/+MV199FdnZ2XZ9fjNmSuZkz14tLS3F+++/j6KiIowZM8aUm2uA65+0Zcb+8vPzg8ViwZtvvomtW7fa/Xs0Y6ZkPvbu0wMHDuD7779HUFCQaTfXgFzrnxtsieh9QjAtDR06FIMGDcIbb7yB8+fP2+15zZypnmT6ISgLe/VqXl4eXnvtNSiKAi8vL7s8p164/klLZu0vJycn/Pd//zd++uknfPbZZ3a9jJdZM9UT57V49upTVVWxfft2bN68GVFRUXZ5Tj3JtP65wZaImS+loCgKpk+fjgkTJmD16tWoqamxy/OaOVM9me3EGkZgj169dOkSXnvtNfTq1Qu33347XFzMfRQR1z9pycz9FRISgiVLliA1NRV79+612/OaOVO9cF6LZ68+/eKLL7Bnzx4sXrwYPXr0sMtz6kmm9W/u355MpqSkBEFBQXqXoamEhAQMGzYMLi4uyMjIQEREhKYnaXCETPXAk6aIp3WvqqqKgIAATJs2zTTXzGwJ1z9pyez9FRAQgKVLl8LV1RVlZWWoqKjQ/Ps1e6Z64LwWzx7zWlEU9OjRA+PGjUNgYKBmz2UkMq1/voMtkYCAAL1LsAtvb29UV1djzZo1+OSTTzT9SIijZGpvvOyHeFr1qqqq+P777/Hpp5/C3d3dVNfMbAnXP2nJEfrLw8MDzs7OSElJwauvvorU1FRNn88RMrU3zmvxtOzT3Nxc/POf/8SlS5fQt29fh9lcA3Ktf26wJZKXl6d3CXbj6uqKpUuXIjMzEytWrEBpaakmz+NImdpTRUWF3iWYjha9Wl1djY8++gh79uzB6NGjhT++0XH9k5Ycqb9GjRqFyZMn4+2338bBgwc1ex5HytReOK/F06pPT58+jVdffRVdunRBx44dNXkOI5Np/XODLZHg4GC9S7ArPz8/LF68GL6+vjhy5Igmz+FomdqLp6en3iWYjha9+sEHHyA/Px/33XcfIiMjhT++0XH9k5Ycrb9GjRqFO+64A8nJyZp97NjRMrUHzmvxtOjTtLQ0rFq1CjNmzMDMmTMd8vJqMq1/HoMtkZycHKmaSwRXV1fMnz8fAJCVlYXz589jyJAhwh7fETO1h/Lycr1LMB2RvVpYWAh/f3/MmDEDQUFBpj+ZWVO4/klLjthfsbGxiImJgaIo2L17NwYNGgQfHx9hj++ImWqN81o8kX1aU1ODiooKREVF4d5770V4eLiQx5WRTOvf8V7+kJhMxx6IpCgKFEVBUVERPv/8c2zcuFHYWcYdNVOt8Zgu8UT0qqqq2LlzJ5577jnk5eUhJCTEYTfXANc/actR+0tRFNTW1uLs2bN4+eWXkZaWJuyxHTVTLXFeiyeqT3Nzc/HGG29g69atUBTFoTfXgFzrnxtsiZSUlOhdgq569OiBZcuWIT09HW+88YaQPBw9U63wrKTitbdXy8vLsWbNGiQnJ+Puu++W5kycWuL6Jy05cn85Ozvj9ttvx/jx47FixQrs379fyOM6cqZa4bwWT0SfHjlyBC+//DKioqJwww03tL8oE5Bp/TvuWxcS4quMQGBgIBYvXowffvgBnp6esFgs7ToOhZlqg9fVFK+9vXrq1CmoqooHHngAXl5egqqSG9c/acnR+0tRFIwdOxZRUVGoqqoCAM5sA+K8Fq+9fWqxWLBr1y7MmTMHAwcOFFSV/GRa/9xgS0TLy1XJxMXFBQkJCQCA1atXIygoCNOnT2/TR12ZqTYsFoveJZhOW3pVVVXs2bMHUVFRGDBgAPr37+8wl+CyBdc/aYn9dVl0dDQAID09HR9++CFuvfVW69dai5mKx3ktXlv7ND8/H/v378fkyZPxxz/+kfP6KjKtf35EXCKqqupdguHMmDEDqampePXVV5GZmdnq+zNTkkVre7W4uBj/+te/8P3331t/geKwro/rn7TE/qqvU6dOiIuLw4oVK/Dtt9+2aWPHTEkGre1TVVVx8OBBvPjiiygtLYXFYuG8boRM658bbIm4urrqXYLhdOzYEUuWLEHfvn2xbt26Vi8+ZqoNR7x8hNZa06s5OTl44YUX4OHhgT//+c9tfrfI7Lj+SUvsr/oURcH48eOxdOlS/PLLLzh27FirH4OZisd5LV5r+/SLL77Al19+iVtvvRWzZ8/mx/abINP650fEJVJeXg4PDw+9yzAcZ2dnTJkyBddccw0URUFSUhKGDBkCPz+/Fu/LTLUh6izv9B+29Gp5eTkqKyvRoUMHzJ8/HzExMXaqTk5c/6Ql9lfjIiIisGzZMjg7OyMzMxPnz5/HsGHDbHrHjpmKx3ktnq19mpmZifDwcAwfPhyTJk0Sekk7M5Jp/fNlK4nYsmF0ZC4uLqitrcXFixfxwgsv4Mcff2zxHW1mqg03Nze9SzCdlnr11KlT+Mc//oHdu3dDURRurm3A9U9aYn81zcXFBYqioKysDFu2bMG//vUvFBQUtHg/Zioe57V4LfVpZWUlPv30U7zxxhsoKipCREQEN9c2kGn9c4Mtkfz8fL1LMDxnZ2fccsstuOWWW/DNN99g/fr1zd6emWqjsrJS7xJMp6lerRvUq1evxjXXXIPp06fbuTJ5cf2TlthfLevevTsefPBB+Pj44IUXXsCFCxeavT0zFY/zWrzm+vTkyZN44YUXkJOTg+XLl0u1adSbTOufHxGXSHBwsN4lSKNv377o3r078vLyAFx+d6979+4NjjViptrw9PTUuwTTubpXVVVFdXU1XFxc4Orqij//+c+8tnUrcf2TlthftvHy8sLcuXMxYsQIhIWFIS8vDzU1NQgJCWlwW2YqHue1eI31aVVVFdzc3FBdXY1rrrkGI0eO5InMWkmm9c93sCWSk5OjdwlS8fDwQEREBKqqqrBx40a89tprDc40zky1UV5erncJpnNlr+bl5WHVqlXYsGEDnJ2dccMNN3Bz3QZc/6Ql9lfrdO3aFU5OTjh16hRefvllbN++vcFleZipeJzX4l3Zp6qqYt++fXjqqaeQk5ODvn37Ii4ujpvrNpBp/fMdbIkEBgbqXYKU3NzcsHz5cnz77bd49dVXMXHiRCQmJgJgplpxd3fXuwTTCQwMRG1tLZKTk/Htt99i8ODBmDFjht5lSY3rn7TE/mqbkSNHIjw8HJ988gkOHjyIO++80/rOFTMVj/NavLo+vXTpEj777DMUFBTg1ltvleodWCOSaf1zgy2RwsJCvkvVRi4uLpg2bRqGDh1qPYYjLS0N3t7e/IGngaqqKr1LMJ3c3FwEBQXh999/x6JFi9C1a1e9S5Ief6aSlthfbRcVFYVly5bhp59+QkBAAIqLi1FVVQVFUZipYJzX4uXm5iIkJARpaWmIiorCokWLeDI5AWT6mcoNtkS8vb31LkF6oaGhCA0NRU1NDdatWwdnZ2fcdNNN6NKli96lmYpM1yo0ukuXLuHLL7+Ej48PbrnlFtx55516l2Qa/JlKWmJ/tY+zszNGjhwJADh+/Dg2bdqEUaNGYfLkydysCMR5LU5tbS327t2Lb775BsuXL8eIESP0LslUZPqZyg22RKqqqvhRHkFcXFywfPlybNmyBe+88w6GDx+OWbNm6V2WaVx93By1XkVFBbZu3Yp9+/YhLi4O8fHxepdkOvyZSlpif4kzYsQIRERE4OOPP0ZKSgruvPNORERE6F2WKXBei3Hy5Els3rwZqqrihhtuQEBAgN4lmY5MP1O5wZYIT4gglouLCyZOnIhx48ZZLw1y/PhxdO7cmdcjJN3U1NRYf+EpLS3FsmXLEBoaipKSEp0rMx/+TCUtsb/E6tSpE+655x6cOnUKQUFBKCsrQ1paGnr16sWsSTclJSXw8fFBdnY24uPjER8fzxPHaUSmdc4NtkScnZ31LsF0nJ2d4ePjg4CAAKiqioMHD2Lt2rVISEhAQkKCNK+UGc3Vl0OjltXW1uLHH3/E9u3bMXbsWIwfPx7z5s2z/jvXv3jMlLTE/hLPxcUFQ4YMAQCcPXsW69atQ0hICKZNm8bzUrQR53XbXLp0Cd9++y1Onz6Nv/71rxg9erT137j2tSFTrlxVEqmsrNS7BNO5MlNFUXD77bfjrrvuwsmTJ/HCCy+gpqZGx+rkxY+ctc65c+fw3HPPYffu3Zg5cyYSEhIa3IbrXzxmSlpif4l3ZaZdu3bF//zP/yAmJgYrV67Enj17dKxMXpzXrbdhwwa8/PLL8Pb2xgMPPNDgOHaufW3IlCvfwZYIP7YsXmOZdu3aFYsXL0Z2djZcXFzw448/ory8HHFxcXxH20Y8aUrLLBYLDh8+jN69eyMwMBCTJ0/G4MGDm3w3getfPGZKWmJ/iXd1pu7u7khMTMSoUaOgKAqqq6vx2WefYfTo0YiKitKpSrlwXtsmLy8Pubm5iImJQffu3TFhwoQmz2jNta8NmXLlBlsiBQUFvKSUYE1lqigKQkJCAAABAQHYt28fvvvuO4wdOxZjxoyBp6envUuVikyvMtpbTU0NDhw4gKSkJFgsFgQHByMyMhJDhw5t9n5c/+IxU9IS+0u8pjKt+8W7oqICvr6+WLFiBaKjo3HNNdege/fu9i5TKpzXzcvMzMSOHTvw66+/YuTIkYiJicGgQYOavQ/XvjZkypUbbInI0lQysSXT2NhYxMTE4PTp0/juu+8wYMAAuLu7o7S0FL6+vnaoUj58AaIhVVWhKAq++OILnD17FpMnT8bAgQNtPqaI6188ZkpaYn+J11KmHh4emDFjBiZOnIjk5GSkpKSge/fuKCoqgq+vr1QnSbIXzuuGVFUFABQXF+O1117D0KFD8eCDD6JDhw423Z9rXxsy5coNtkRycnKkai4Z2JqpoiiIiYlBTEwMAOD06dNYuXIlBg0ahNGjR6Nz585alyoVnkHzPwoKCrB7926cPHkS999/P6ZPnw43N7dW/6LH9S8eMyUtsb/EszVTLy8vTJ482fr3tWvXoqSkBGPGjMHQoUN5uNcVOK//w2Kx4OjRo0hKSkJ8fDyGDRuGv/3tb/Dw8GjV43Dta0OmXLnBlkhTx3pQ27U10x49emDZsmX44Ycf8NZbb2HUqFGYMWOG4Ork1dphZEY1NTX44IMP8Ntvv6F3796YPXs2nJyc2vyLHde/eMyUtMT+Eq+tmf7hD39ASkoKdu/ejS1btuChhx6Cn5+f4OrkxHl92ZEjR7Bp0yYoioIxY8agX79+ANqWD9e+NmTKlRtsieTn59v88RSyTXsyDQ0NxY033oipU6eivLwcqqpizZo16NSpE0aOHOnQw7uiokLvEnRRXl6OAwcOICwsDLGxsejduzdmzZqFgICAdj821794zJS0xP4Sr62Zuri4YNiwYRg6dCgyMzPh5+eH3377DT/88ANGjx6N2NhYh71claPOa1VVkZqaiqNHj2L69OkIDAzEjTfeiN69e7e7F7j2tSFTrtxgS4TH+4onIlNPT094enpCVVXExcVh9+7d2L59O2JjYzFv3jyHfHXYzc1N7xLsKjMzE7t27UJKSgo6deqEiIgIAEBcXJyw5+D6F4+ZkpbYX+K1N1NFUaw/nyMiItCpUyesX78eTk5OmDp1KoYNGyaiTKk42rxWVRU//PAD9u/fj4KCAgwfPhy1tbWIjIxEZGSkkOfg2teGTLlygy2RiooKh/tBqDWRmSqKgt69e6N3794oKCjAkSNH4O7ujrNnz+KXX37B8OHDhf3wNjpHuK5mdnY2Tpw4gTFjxqC4uBhubm5YunSp9Zc30bj+xWOmpCX2l3giM/Xz88PkyZNx7bXX4rfffrOe7Ovzzz9HREQEBg4c6BDHajvCvK6pqcGxY8cQEBCAqKgoZGZmYuzYsRg8eLAmlynj2teGTLlygy0RFxf+5xJNq0wDAgIwZswYAJff4a6srMQbb7yB4OBgTJo0CQMHDtTkeY3CrGdqtVgs2L9/P3766SecP38effr0wciRIxEbG4vY2FhNn5vrXzxmSlpif4mnRaZOTk7o06cPgMvvbgYHB2P37t34/PPP0b9/f9xwww2mPtO2Wec1AFy8eBE//PADUlJS4O3tjWnTpiEqKgpz5szR9Hm59rUhU67yVEokqbCwMMydOxc33HADDh8+bP3I+KZNm+Dv748BAwZIc1ZER1RUVIQjR46gU6dO6Ny5M37//XcMHToUd955J7y8vPQuj4iIBKk7wdWYMWOQkZGBo0ePwsPDA+fOncPu3bsxcOBA9OzZU6pf9B2JxWLBmTNnkJ6ejgkTJiA3NxcAcOeddyI6OtrULyaQsfAnhESqq6v1LsF07Jmpu7t7veO7oqOjkZKSgm+++QahoaFYuHAhAgMDAcj/irLFYtG7hHY7fPgwkpKSkJ6eji5duqBjx45QFAW33367LvVw/YvHTElL7C/x7Jnplcfk+vj4wN/fH5s3b0ZpaSnGjx+Pa6+9Fqqqcl4bQEVFBb744gscOXIEzs7O6NevHywWC/r27Yu+ffvavR6ufW3IlCs32BLhu2Xi6ZnpkCFDMGTIEFRUVODYsWPw9/dHZmYm3n33XfTq1Qu9evVCbGyslB9N0+KYJi1VVVXhzJkzOHHiBCorK3HzzTfD1dUVI0aMwB133AEfHx+9S+T61wAzJS2xv8TTK9OgoCBMnz4d06ZNw4ULF1BVVQUA+OCDD1BUVIRevXqhd+/eiIiIkG7DLdu8VlUVOTk5OHnyJE6cOIGJEyciOjoafn5+uOOOOxAdHa37GeG59rUhU66OeU0CSRUVFeldgukYIVMPDw8MGTIEzs7OCA0Nxe233w4fHx9s374d77zzDgDgwoUL+P3336V59a6yslLvEpqlqiouXLhg/d9HH30UGzduRE1NjfXV7l69emHkyJGG2FwDxuhVs2GmpCX2l3h6Z6ooCiIjI9G1a1cAwMyZMzF8+HCcP38eb775Jo4fPw4ASElJQV5eHlRV1bNcmxh9XgOXL4FZ93HvDz/8EC+++CKOHDmCbt26ITAwEIqiYMqUKejatavum2tA/z41K5ly5TvYEpHpAuuyMFqmzs7O6N69O7p3747p06dbN9RpaWnYtm0bSktLERUVhXHjxqF///6wWCyGGCZXM+KlyVRVxY4dO3DmzBmkpaXBYrFg+fLlCA0NxYMPPogOHToY+p0Ho/WqGTBT0hL7SzyjZerv74+RI0di5MiR1rNxV1ZWIjk5Genp6fDz80O3bt1w8803w8nJCYqiGG7OGHFeA0B6ejr279+P1NRUXLp0CaNGjcKsWbMwbdo0zJ0719DvvButT81Cplyl2WA//fTT+Prrr5GSkgI3NzcUFBS0eB9VVfHEE0/gnXfeQX5+PkaOHIk33nhDl+MxRMjNzeXJsAQzeqZ1AyQ+Ph5xcXHIzc3F2bNnre+qvv7666ipqUGnTp3QqVMn9O/f3xDXCayoqND1+bOzs3Hu3DmcP38eqampGDduHAYPHoyysjL06tULU6ZMQUREhPXFCSP3QB2j96qMmKl2OLPZX1owcqbOzs7W/126dCmqqqqQlpaGjIwMuLi44NixY1i/fj06d+6MTp06oVu3bppffcIWes/r6upqnD17FhcuXEBqaiqKi4uxdOlS1NTUwMPDA1OmTEF0dLT1dxsZNllG7lOZyZSrNBvsqqoqzJkzB/Hx8Vi1apVN93n++efx0ksvYc2aNYiNjcVTTz2Fa6+9FidOnDDEJqS1ZGkqmciUqaIoCA4OrlfzggULkJaWhvPnz+Po0aPo2rUrvLy88OqrryIiIgIRERHo2LEjYmNjrcPfHux13Hh5eTkuXLiAzMxMZGRkICwsDAkJCUhOTkZGRgYiIyMxbtw49OjRAwAwY8YMu9SlBZl6VRbMVDuc2ewvLciUqZubG2JiYhATEwMA6NmzJ/77v/8b58+fx/nz53H8+HHExsZi165dOH78ODp16oSwsDBER0fb9fu017xWVRVZWVnIzMzEhQsXcOHCBdx2222oqKjAhg0bEB4ejujoaHTp0gWqqqJr167Wj+LLRqY+lYlMuUqzwX7iiScAAGvWrLHp9qqq4pVXXsFf/vIX3HjjjQCA9957D6Ghofjoo49w9913a1WqZnJycqRqLhnInmndZb4GDBhg/VptbS0mT56M8+fP48yZM/jxxx8RGxuLjIwMfPzxx+jYsSM6duyIiIgIDBo0CNXV1VBVFW5ubsLqKi8vF/I4dR+BLy4uxm+//Ybc3FxkZ2fDzc0Nc+fOxcGDB7Fjxw5ERkYiIiICnTp1AgDrmjcT2XvViJipdjiz2V9akDlTZ2dnREdHIzo6ut7Xe/XqBVdXV5w/fx779u1DSUkJEhISsH79euTl5Vlndt++fREcHIyysjJ4enoK+6i5qHmtqipUVYWTkxNOnz6NjIwM5OTkICcnB4mJiejSpQvefvtt+Pv7IyIiAr1794aTkxOCgoLwyCOPCKnBKGTuUyOTKVdpNtitdfbsWVy8eBGJiYnWr7m7uyMhIQF79uyRclj7+/vrXYLpmDFTZ2fnRi9N0aFDB0ybNg1ZWVnIzs7GyZMnMWjQIPz888/49NNP4enpiYCAAPTu3RvTpk3DqVOncP78eXh6esLLywuhoaEIDQ1FWVkZamtr4ezsDBcXF7i4uDQ4Dtzd3d36/1VVhcViQW1tLaqqquDh4QFnZ2f8/vvvqKiosP4ZOXIkysvL8cknn6CoqAhFRUWorKzEM888g4KCAhw4cADBwcGIjIxEeHg4AGD06NEYM2aM9qEagBl7VW/M1Dg4s8kWZsw0JCQEISEhDb4+duxYZGRkIDs7G2fPnkVkZCSCg4Px4osvori4GP7+/ggICMBNN92EkJAQbNu2zTqvvby8EBMTY32B+sp5ffU1vK+e13Uzu6amBhaLBV5eXsjLy0NWVhYqKipQXl6Ojh07okePHkhOTsavv/5qndnXXnstJk6ciEOHDqG0tBTBwcEYNGgQgoKCoCgKHn30UcMdg64FM/apEciUq2k32BcvXgQAhIaG1vt6aGgo0tLSmrxfZWVlvTMqGumMdWVlZVI1lwwcKVMPDw/06dMHffr0qff1ESNGoF+/figsLERBQYH1uO+6j1+XlZWhvLwcffv2RWhoKDZu3IiUlBTr/WfMmIHx48fj7bffRnp6OlRVRXJyMn755RcMHDgQTz/9dL3jLxcvXowuXbpgw4YNcHNzg6enJzw8PDBw4EB4eHigb9++8PPzs/4BgM6dO+NPf/pTg+/JEQZ1HUfqVXthpsbBmU22cKRM6w7zutojjzyCwsJC6x9fX1/U1tYiPz+/3sxevHgxioqK8Pzzz1vv6+rqimeffRanT5/G6tWroSgKkpOT8eKLL2L58uX46aefsH79euvtY2JicPfdd+PYsWPYu3cvPDw84OnpiV69eqFHjx4IDw+Ht7e3dV4HBAQAAObMmdPo9+QoM9uR+tSeZMpV1w32448/bv0YWVMOHDiAYcOGtfk5rl7Mqqo2u8CfffbZRmuqqqpCbm4uAgMDkZeXh+DgYOTk5MDf3x+lpaVwd3dHbW2t9aO2paWl8Pf3R35+vvW2gYGBKCoqgqenJ6qrq6EoClxcXFBeXg5fX18UFBRYbxsUFISCggJ4e3ujsrISzs7OsFgsKCwshJeXFwoLC6237dChA/Ly8uDn54eysjLrBqnuBBHFxcUN6g4ICEBJSUmb63Z2dkZlZSV8fHwardvHxwcVFRVwdnaGoiiorq621t2hQwfk5uZa/9ff399at6qqqK2thYeHB0pKShAQENBi3a6urigvL4efn1+DugsLC+Ht7Y2qqqpG6/b29rbWnZ+fD19fX1RUVFhf4a2ru6ioCEFBQdYTLNT9ty8rK4Obm5v1HVp3d3eUlpY2WndxcTE8PT1RU1PT5rq9vb3r/bdva911PXtl3R4eHujVqxfy8vIAXB7uffr0qVd3cXExZs+ejSlTpsDT0xO5ubkICwtDTk4OZs+ejaysLHh7eyMjIwOdO3dGeXk5FixYAG9vbxQXFyMiIsK62b7rrrvg6+uL8vLyepv6oUOHori42Fq3oijN1t1Yz16Zd1vWmpOTU6N5t2WtifoZ4eLiYv14VHN1V1VV8WeEjT8jPDw8kJeX1+zPiPautZZ+Rog8NENrnNmc2ZzZxpjZPj4+UBQFXbp0QV5eHry8vDBp0qQGdXt6euLJJ59ESUkJPD09kZOTA+Dy9YQXL16MgoICZGRkYPbs2SgtLUVsbCzuvfde+Pr6oqSkBJGRkcjJycHo0aPRu3fvejO7rKwMHTt2RFRUVL2Z3dLvGo4ys729vW2qmzPbnDNbUXW8SF/dsRnN6dKlS71LCKxZswb3339/i2ckPXPmDLp3746ff/4ZgwcPtn595syZCAgIwHvvvdfo/Rp7Nbxz584oLCy0vpuml9LSUnh7e+tag9kwU20sXboUr732mt5lmAp7VTwjZFpUVAR/f39DzJiWcGa3jhH6y2yYqXic1+KxT7VhhFxtndm6voN99RmRReratSvCwsKwbds267CuqqrCzp078dxzzzV5P3d393rHoxhJ3TUWSRxmqg0dX7czLfaqeMy0dTizW4f9JR4zFY/zWjz2qTZkytWp5ZsYw7lz55CSkoJz586htrYWKSkpSElJQUlJifU2vXr1wqZNmwBc/pjZ/fffj2eeeQabNm3CkSNHsHDhQnh5eeG2227T69toF6P+EiEzZqoNe14SzFGwV8VjptrhzGZ/aYGZisd5LR77VBsy5SrNSc7+9re/1fuIWN0r3Dt27MD48eMBACdOnEBhYaH1Ng899BDKy8vxpz/9Cfn5+Rg5ciS+/fZbKa+nCcB6TAiJw0y1UV1drXcJpsNeFY+Zaoczm/2lBWYqHue1eOxTbciUq67HYMvASMfH1V0TmMRhptpYtmwZXn75Zb3LMBX2qnhGyNRIM8YMjJSnEfrLbJipeJzX4rFPtWGEXG2dMfyvL5G6szuTOMxUGxUVFXqXYDrsVfGYKWmJ/SUeMxWP81o89qk2ZMqVG2yJaHVyGUfGTLXh6empdwmmw14Vj5mSlthf4jFT8TivxWOfakOmXLnBlkhLl0eh1mOm2igvL9e7BNNhr4rHTElL7C/xmKl4nNfisU+1IVOu3GBLJCAgQO8STIeZakOWk1DIhL0qHjMlLbG/xGOm4nFei8c+1YZMuXKDLZHi4mK9SzAdZqqNqqoqvUswHfaqeMyUtMT+Eo+Zisd5LR77VBsy5coNtkR4nIx4zFQbLi7SXAFQGuxV8ZgpaYn9JR4zFY/zWjz2qTZkypUbbInU1NToXYLpMFNtWCwWvUswHfaqeMyUtMT+Eo+Zisd5LR77VBsy5coNtkR4yXLxmCnJgr0qHjMlLbG/xGOmJAP2qTZkypUbbIm4urrqXYLpMFNtODnxR4to7FXxmClpif0lHjMVj/NaPPapNmTKlatKIryUgnjMVBsyfYxHFuxV8ZgpaYn9JR4zFY/zWjz2qTZkypUbbIn4+fnpXYLpMFNtuLm56V2C6bBXxWOmpCX2l3jMVDzOa/HYp9qQKVdusCWSn5+vdwmmw0y1UVlZqXcJpsNeFY+ZkpbYX+IxU/E4r8Vjn2pDply5wZZIcHCw3iWYDjPVhkyXUpAFe1U8ZkpaYn+Jx0zF47wWj32qDZly5QZbIjk5OXqXYDrMVBsyHScjC/aqeMyUtMT+Eo+Zisd5LR77VBsy5coNtkQCAwP1LsF0mKk23N3d9S7BdNir4jFT0hL7SzxmKh7ntXjsU23IlCs32BIpLCzUuwTTYabaqKqq0rsE02GvisdMSUvsL/GYqXic1+KxT7UhU67cYEvE29tb7xJMh5lqQ6ZrFcqCvSoeMyUtsb/EY6bicV6Lxz7Vhky5coMtEb7KKB4z1UZtba3eJZgOe1U8ZkpaYn+Jx0zF47wWj32qDZly5QZbIoqi6F2C6TBTkgV7VTxmSlpif4nHTEkG7FNtyJQrN9gScXZ21rsE02Gm2nBy4o8W0dir4jFT0hL7SzxmKh7ntXjsU23IlCtXlUQqKyv1LsF0mKk2+JEz8dir4jFT0hL7SzxmKh7ntXjsU23IlCs32BKR6eB+WTBTbfCkKeKxV8VjpqQl9pd4zFQ8zmvx2KfakClXbrAlItPp6WXBTLUh06uMsmCvisdMSUvsL/GYqXic1+KxT7UhU67cYEskODhY7xJMh5lqw9PTU+8STIe9Kh4zJS2xv8RjpuJxXovHPtWGTLlygy2RnJwcvUswHWaqjfLycr1LMB32qnjMlLTE/hKPmYrHeS0e+1QbMuXKDbZEgoKC9C7BdJipNjw8PPQuwXTYq+IxU9IS+0s8Zioe57V47FNtyJQrN9gSyc/P17sE02Gm2qioqNC7BNNhr4rHTElL7C/xmKl4nNfisU+1IVOuLnoXYHSqqgIAioqKdK7kci1GqMNMmKk2mKt4zFQ8I2Ra9/x1s4bahzPb3JipeMxUPGaqDSPkauvMVlRO9WadP38enTt31rsMIiIysfT0dHTq1EnvMqTHmU1ERFpraWZzg90Ci8WCCxcuwNfXF4qi6FZHUVEROnfujPT0dPj5+elWh5kwU20wV/GYqXhGyVRVVRQXFyMiIgJOTjxqq704s82LmYrHTMVjptowSq62zmx+RLwFTk5OhnpXwc/PjwtWMGaqDeYqHjMVzwiZ+vv76/r8ZsKZbX7MVDxmKh4z1YYRcrVlZvPlciIiIiIiIiIBuMEmIiIiIiIiEoAbbEm4u7vjscceg7u7u96lmAYz1QZzFY+ZisdMSUvsL/GYqXjMVDxmqg3ZcuVJzoiIiIiIiIgE4DvYRERERERERAJwg01EREREREQkADfYRERERERERAJwg01EREREREQkADfYBvb0009j1KhR8PLyQkBAgE33UVUVjz/+OCIiIuDp6Ynx48fj6NGj2hYqkfz8fMyfPx/+/v7w9/fH/PnzUVBQ0Ox9Fi5cCEVR6v2Ji4uzT8EG9Oabb6Jr167w8PDA0KFDkZyc3Oztd+7ciaFDh8LDwwPdunXDihUr7FSpXFqTa1JSUoOeVBQFv/32mx0rNrZdu3bhuuuuQ0REBBRFweeff97ifdir1Fac1+JxXovBmS0e57VYZpzX3GAbWFVVFebMmYM//vGPNt/n+eefx0svvYTXX38dBw4cQFhYGK699loUFxdrWKk8brvtNqSkpGDr1q3YunUrUlJSMH/+/BbvN2XKFGRmZlr/bNmyxQ7VGs/69etx//334y9/+QsOHTqEsWPHYurUqTh37lyjtz979iymTZuGsWPH4tChQ/if//kf3HvvvdiwYYOdKze21uZa58SJE/X6MiYmxk4VG19paSkGDhyI119/3abbs1epPTivxeO8bj/ObPE4r8Uz5bxWyfBWr16t+vv7t3g7i8WihoWFqX//+9+tX6uoqFD9/f3VFStWaFihHI4dO6YCUPft22f92t69e1UA6m+//dbk/RYsWKDOnDnTDhUa34gRI9R77rmn3td69eqlPvzww43e/qGHHlJ79epV72t33323GhcXp1mNMmptrjt27FABqPn5+XaoTn4A1E2bNjV7G/YqicB5LQbntRic2eJxXmvLLPOa72CbyNmzZ3Hx4kUkJiZav+bu7o6EhATs2bNHx8qMYe/evfD398fIkSOtX4uLi4O/v3+L+SQlJSEkJASxsbFYtGgRsrKytC7XcKqqqnDw4MF6/QUAiYmJTea3d+/eBrefPHkyfvrpJ1RXV2tWq0zakmudwYMHIzw8HJMmTcKOHTu0LNP02KtkT5zXzeO8bj/ObPE4r41Bhj7lBttELl68CAAIDQ2t9/XQ0FDrvzmyixcvIiQkpMHXQ0JCms1n6tSp+PDDD/H999/jxRdfxIEDBzBx4kRUVlZqWa7h5OTkoLa2tlX9dfHixUZvX1NTg5ycHM1qlUlbcg0PD8c777yDDRs2YOPGjejZsycmTZqEXbt22aNkU2Kvkj1xXjeP87r9OLPF47w2Bhn61EXvAhzN448/jieeeKLZ2xw4cADDhg1r83MoilLv76qqNviamdiaKdAwG6DlfObOnWv9//369cOwYcMQHR2Nr7/+GjfeeGMbq5ZXa/ursds39nVH15pce/bsiZ49e1r/Hh8fj/T0dPzjH//AuHHjNK3TzNirdCXOa/E4r+2PM1s8zmv9Gb1PucG2syVLluCWW25p9jZdunRp02OHhYUBuPzKTnh4uPXrWVlZDV7pMRNbM/31119x6dKlBv+WnZ3dqnzCw8MRHR2NU6dOtbpWmQUHB8PZ2bnBq7TN9VdYWFijt3dxcUGHDh00q1Umbcm1MXFxcVi7dq3o8hwGe5WuxnktHue1/XBmi8d5bQwy9Ck32HYWHByM4OBgTR67a9euCAsLw7Zt2zB48GAAl48X2blzJ5577jlNntMIbM00Pj4ehYWF+PHHHzFixAgAwP79+1FYWIhRo0bZ/Hy5ublIT0+v90uRI3Bzc8PQoUOxbds2zJo1y/r1bdu2YebMmY3eJz4+Hl9++WW9r3377bcYNmwYXF1dNa1XFm3JtTGHDh1yuJ4Uib1KV+O8Fo/z2n44s8XjvDYGKfpUn3OrkS3S0tLUQ4cOqU888YTq4+OjHjp0SD106JBaXFxsvU3Pnj3VjRs3Wv/+97//XfX391c3btyoHj58WL311lvV8PBwtaioSI9vwXCmTJmiDhgwQN27d6+6d+9etX///uqMGTPq3ebKTIuLi9Xly5ere/bsUc+ePavu2LFDjY+PVyMjIx0y03Xr1qmurq7qqlWr1GPHjqn333+/6u3traampqqqqqoPP/ywOn/+fOvtz5w5o3p5eanLli1Tjx07pq5atUp1dXVVP/vsM72+BUNqba4vv/yyumnTJvXkyZPqkSNH1IcfflgFoG7YsEGvb8FwiouLrT8zAagvvfSSeujQITUtLU1VVfYqicV5LR7ndftxZovHeS2eGec1N9gGtmDBAhVAgz87duyw3gaAunr1auvfLRaL+thjj6lhYWGqu7u7Om7cOPXw4cP2L96gcnNz1Xnz5qm+vr6qr6+vOm/evAaXTrgy07KyMjUxMVHt2LGj6urqqkZFRakLFixQz507Z//iDeKNN95Qo6OjVTc3N3XIkCHqzp07rf+2YMECNSEhod7tk5KS1MGDB6tubm5qly5d1LfeesvOFcuhNbk+99xzavfu3VUPDw81MDBQHTNmjPr111/rULVx1V0a5eo/CxYsUFWVvUpicV6Lx3ktBme2eJzXYplxXiuq+n9HhRMRERERERFRm/EyXUREREREREQCcINNREREREREJAA32EREREREREQCcINNREREREREJAA32EREREREREQCcINNREREREREJAA32EREREREREQCcINNRLp6/PHHMWjQIL3LICIiEmbVqlVITExs030PHz6MTp06obS0VHBVxldeXo4xY8ZAURS8/PLLepdD1CbcYBNRkxYuXAhFUaAoClxcXBAVFYU//vGPyM/P17s0IiIioUTNvMrKSvztb3/Do48+2qY6+vfvjxEjRphigzl+/Hhrpk5OTggNDcWcOXOQlpbW4LY1NTW46aabkJOTg3/+8594+OGH8f777ze43dGjRzF79mx06dIFiqLglVdeaXCbZ599FsOHD4evry9CQkJwww034MSJE1p8i0QNcINNRM2aMmUKMjMzkZqaipUrV+LLL7/En/70J73LIiIiEk7EzNuwYQN8fHwwduzYNtdxxx134K233kJtbW2bH8MoFi1ahMzMTGRkZGDz5s1IT0/H7bffXu82qqpi4cKFyMjIwK5du7B06VJ8+umn+NOf/oQvv/yy3m3LysrQrVs3/P3vf0dYWFijz7lz504sXrwY+/btw7Zt21BTU4PExESH/FQA2R832ETULHd3d4SFhaFTp05ITEzE3Llz8e2331r/ffXq1ejduzc8PDzQq1cvvPnmm/Xu///+3/9DbGwsvLy80K1bNzz66KOorq6297dBRETUopZmHtDy3Fu3bh2uv/56698PHz4MJycn5OTkAADy8/Ph5OSEOXPmWG/z7LPPIj4+3vr3yZMnIzc3Fzt37mzz9/Lll18iICAAFosFAJCSkgJFUfDggw9ab3P33Xfj1ltvbfNz2MLLywthYWEIDw9HXFwcFi9ejJ9//rnebe677z6cOnUKO3bsQEhICADg+uuvx6ZNm3DHHXdg165d1tsOHz4cL7zwAm655Ra4u7s3+pxbt27FwoUL0bdvXwwcOBCrV6/GuXPncPDgQe2+UaL/46J3AUQkjzNnzmDr1q1wdXUFALz77rt47LHH8Prrr2Pw4ME4dOgQFi1aBG9vbyxYsAAA4OvrizVr1iAiIgKHDx/GokWL4Ovri4ceekjPb4WIiKhZV888wLa5l5ycjHnz5lnv069fP3To0AE7d+7E7NmzsWvXLnTo0KHepjEpKQkJCQnWv7u5uWHgwIFITk7GxIkT21T/uHHjUFxcjEOHDmHo0KHYuXMngoOD623ak5KSsGzZsiYfY+rUqUhOTm72eUpKSmyuKS8vD59++ilGjhxZ7+v//Oc/G739tddea31hoj0KCwsBAEFBQe1+LKKWcINNRM366quv4OPjg9raWlRUVAAAXnrpJQDAk08+iRdffBE33ngjAKBr1644duwY3n77besvGn/961+tj9WlSxcsX74c69ev5wabiIgMp7mZB7Q89woKClBQUICIiAjrfRRFwbhx45CUlITZs2cjKSkJCxYswHvvvYdjx44hNjYWe/bsabDRjYyMRGpqapu/F39/fwwaNAhJSUkYOnSodTP9xBNPoLi4GKWlpTh58iTGjx/f5GOsXLkS5eXlba4BAN58802sXLkSqqqirKwMsbGx+Oabb9r1mK2hqioeeOABjBkzBv369bPb85Lj4gabiJo1YcIEvPXWWygrK8PKlStx8uRJLF26FNnZ2UhPT8edd96JRYsWWW9fU1MDf39/698/++wzvPLKKzh9+jRKSkpQU1MDPz8/Pb4VIiKiZjU18wDYNPfqNqMeHh71Hnf8+PF45513AFw+PvjJJ5/E2bNnsXPnThQWFqK8vByjR4+udx9PT0+UlZW16/sZP348kpKS8MADDyA5ORlPPfUUNmzYgN27d6OgoAChoaHo1atXk/ePjIxs1/MDwLx58/CXv/wFAHDp0iU888wzSExMxMGDB+Hr69vux2/JkiVL8Ouvv2L37t2aPxcRwA02EbXA29sbPXr0AHD5I1wTJkzAE088gSVLlgC4/HG5qz/q5ezsDADYt28fbrnlFjzxxBOYPHky/P39sW7dOrz44ov2/SaIiIhs0NTMe/LJJ63HMjc39zp06ABFURqceXz8+PG47777cPr0aRw5cgRjx47F77//jp07d6KgoABDhw5tsNnMy8tD9+7d2/X9jB8/HqtWrcIvv/wCJycn9OnTBwkJCdi5cyfy8/PrfSy9MSI+Iu7v72/NtEePHli1ahXCw8Oxfv163HXXXa37hlpp6dKl+OKLL7Br1y506tRJ0+ciqsMNNhG1ymOPPYapU6fij3/8IyIjI3HmzJl6x5pd6YcffkB0dLT1lWsAjV6ag4iIyIiunHkREREtzj03Nzf06dMHx44dq3cd7LrjsJ966ikMHDgQfn5+SEhIwLPPPtvkRvfIkSO46aab2lV/3XHYr7zyChISEqAoSr3nve+++5q9v4iPiF+t7sUI0Y97JVVVsXTpUmzatAlJSUno2rWrZs9FdDVusImoVcaPH4++ffvimWeeweOPP457770Xfn5+mDp1KiorK/HTTz8hPz8fDzzwAHr06IFz585h3bp1GD58OL7++mts2rRJ72+BiIjIJlfOvNdff73FuQdcPgP47t27cf/991sfp+447LVr11qPtR4wYACqqqrw3XffNdjopqamIiMjA9dcc0276q87Dnvt2rV49dVXAVzedM+ZMwfV1dXNHn8NiPmIeFlZGS5evAjg8kfEn3rqKXh4eNR7AaI1qqqqcOzYMev/z8jIQEpKCnx8fKzvlC9evBgfffQRNm/eDF9fX+vz+/v7w9PTs93fE1FzeJkuImq1Bx54AO+++y4mT56MlStXYs2aNejfvz8SEhKwZs0a6yvFM2fOxLJly7BkyRIMGjQIe/bswaOPPqpz9URERLarm3np6em46667mp17wOXrPm/ZssV65uo6EyZMQG1trXVTqyiK9VrZY8aMqXfbjz/+GImJiYiOjrZ+7fHHH0eXLl1aXf/VzxsYGIg+ffqgY8eO6N27d6sfr7XeffddhIeHIzw8HBMmTEB2dja2bNmCnj17tunxLly4gMGDB2Pw4MHIzMzEP/7xDwwePLjex83feustFBYWYvz48dbnrvtYOpHWFFVVVb2LICIiIiIyi5tvvhmDBw/GI4880ur7VlZWIiYmBh9//HG9E58tXLgQALBmzRpBVRKRFvgONhERERGRQC+88AJ8fHzadN+0tDT85S9/aXBW8bqzjxORsfEdbCIiIiIiIiIB+A42ERERERERkQDcYBMREREREREJwA02ERERERERkQDcYBMREREREREJwA02ERERERERkQDcYBMREREREREJwA02ERERERERkQDcYBMREREREREJwA02ERERERERkQDcYBMREREREREJ8P8B/r0hjr4rrIcAAAAASUVORK5CYII=" }, "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", " c(1)1 -0.1091 0.1786 ( -0.2877, 0.0695)\n", "\n", " Residual std σ = 0.044252\n", " Residual var σ² = 0.001958\n" ] }, { "data": { "text/plain": [ "
" ], "image/png": "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" }, "metadata": {}, "output_type": "display_data" }, { "data": { "text/plain": [ "
" ], "image/png": "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" }, "metadata": {}, "output_type": "display_data" } ], "execution_count": 13 }, { "cell_type": "markdown", "id": "sa25", "metadata": {}, "source": "## Conclusion\n\nThe system identification process for Box-Jenkins Series G (airline passengers) confirmed the classical **airline model** of Box & Jenkins (1976):\n\n$$\\nabla_{12}\\nabla\\log y(t) = (1 + c_1 q^{-1})(1 + c_{s,1} q^{-12})\\,e(t)$$\n\nwith estimated parameters $c_1 \\approx -0.40$ (regular MA) and $c_{s,1} \\approx -0.61$ (seasonal MA).\n\n**Summary of steps:**\n\n1. **Log transform** — converted multiplicative seasonality to additive and stabilised variance.\n2. **Double differencing** ($d=1$, $d_s=1$ at $s=12$) — removed the trend and seasonal non-stationarity, yielding the stationary series $w = \\nabla_{12}\\nabla\\log y$.\n3. **Order identification** from the ACF of $w$ — significant spikes at lags 1, 12, and 13 pointed to MA$(1)\\times$MA$(1)_{12}$.\n4. **Parameter estimation** — Levenberg-Marquardt on $w$; results consistent with the Box-Jenkins reference.\n5. **Validation** — chi-square test passes ($p \\gg 0.05$), residual ACF lies within confidence bounds, and the theoretical ACF matches the experimental ACF of $w$.\n6. **Automated selection** — `selpmod` confirms the BIC-optimal model is ARIMA$(0,1,1)\\times(0,1,1)_{12}$.\n\nThe fitted model is a pure MA(13) process on $w$, with the multiplicative structure $(1+c_1 B)(1+c_{s,1} B^{12})$ implying a zero at lag 13 equal to $c_1\\, c_{s,1} \\approx 0.23$." } ], "metadata": { "kernelspec": { "display_name": "Python 3", "language": "python", "name": "python3" }, "language_info": { "name": "python", "version": "3.9.0" } }, "nbformat": 4, "nbformat_minor": 5 }