{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "e0ec6e5e",
   "metadata": {},
   "source": [
    "# Marketing mix modeling in Python, from scratch\n",
    "\n",
    "A complete marketing mix model built with numpy, pandas and scipy (plus matplotlib for the charts),\n",
    "on Vexpower's synthetic practice dataset. Every number in the guide at\n",
    "https://vexpower.com/mmm/marketing-mix-modeling-python comes from running this file.\n",
    "\n",
    "The data is invented for teaching. Put `mmm-practice-synthetic.csv` in the same folder as this\n",
    "notebook, or leave `DATA_URL` as it is to download it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "3af6715f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T01:23:33.584380Z",
     "iopub.status.busy": "2026-10-25T01:23:33.584168Z",
     "iopub.status.idle": "2026-10-25T01:23:34.124646Z",
     "shell.execute_reply": "2026-10-25T01:23:34.124138Z"
    },
    "name": "setup"
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.optimize import minimize\n",
    "\n",
    "DATA_URL = \"https://vexpower.com/downloads/mmm/mmm-practice-synthetic.csv\"\n",
    "CHANNELS = [\"search_spend\", \"social_spend\", \"video_spend\"]\n",
    "\n",
    "try:\n",
    "    df = pd.read_csv(\"mmm-practice-synthetic.csv\", parse_dates=[\"week\"])\n",
    "except FileNotFoundError:\n",
    "    df = pd.read_csv(DATA_URL, parse_dates=[\"week\"])\n",
    "\n",
    "np.set_printoptions(suppress=True)\n",
    "pd.set_option(\"display.width\", 120)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "33366b36",
   "metadata": {},
   "source": [
    "## 1. Load and audit the data\n",
    "\n",
    "Before any modeling: how many rows, any gaps in the weeks, any missing values, and what the\n",
    "spend and revenue look like."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "b49849cf",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T01:23:34.126020Z",
     "iopub.status.busy": "2026-10-25T01:23:34.125941Z",
     "iopub.status.idle": "2026-10-25T01:23:34.133186Z",
     "shell.execute_reply": "2026-10-25T01:23:34.132798Z"
    },
    "name": "audit"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(104, 6)\n",
      "Missing values: 0\n",
      "Week gaps: {Timedelta('7 days 00:00:00'): 103}\n",
      "2024-01-01 to 2025-12-22\n",
      "                 mean      min      max\n",
      "revenue       25639.3  21720.0  30957.0\n",
      "search_spend   2425.4   1565.0   3308.0\n",
      "social_spend   1716.9   1000.0   2400.0\n",
      "video_spend    1219.4    701.0   1700.0\n",
      "promotion         0.1      0.0      1.0\n",
      "revenue         1.00\n",
      "search_spend    0.05\n",
      "social_spend    0.19\n",
      "video_spend    -0.10\n",
      "promotion       0.22\n",
      "Name: revenue, dtype: float64\n"
     ]
    }
   ],
   "source": [
    "print(df.shape)\n",
    "print(\"Missing values:\", int(df.isna().sum().sum()))\n",
    "print(\"Week gaps:\", df[\"week\"].diff().dropna().value_counts().to_dict())\n",
    "print(df[\"week\"].min().date(), \"to\", df[\"week\"].max().date())\n",
    "print(df.drop(columns=\"week\").describe().round(1).T[[\"mean\", \"min\", \"max\"]])\n",
    "print(df[[\"revenue\"] + CHANNELS + [\"promotion\"]].corr().round(2)[\"revenue\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "413d84a3",
   "metadata": {},
   "source": [
    "## 2. Adstock and saturation\n",
    "\n",
    "Geometric adstock carries a share of last week's advertising into this week. The Hill curve\n",
    "(with shape fixed at 1) bends the adstocked spend so that each extra dollar does a little less."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "0bca13d0",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T01:23:34.134447Z",
     "iopub.status.busy": "2026-10-25T01:23:34.134380Z",
     "iopub.status.idle": "2026-10-25T01:23:34.136415Z",
     "shell.execute_reply": "2026-10-25T01:23:34.136055Z"
    },
    "name": "transforms"
   },
   "outputs": [],
   "source": [
    "def geometric_adstock(x, decay):\n",
    "    \"\"\"adstock[t] = x[t] + decay * adstock[t-1]\"\"\"\n",
    "    out = np.zeros(len(x))\n",
    "    carry = 0.0\n",
    "    for t, value in enumerate(x):\n",
    "        carry = value + decay * carry\n",
    "        out[t] = carry\n",
    "    return out\n",
    "\n",
    "\n",
    "def hill(x, half_sat):\n",
    "    \"\"\"Share of the maximum effect reached at x. Equals 0.5 when x == half_sat.\"\"\"\n",
    "    return x / (x + half_sat)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "ec93bd77",
   "metadata": {},
   "source": [
    "## 3. Build the design matrix and fit OLS for one set of parameters\n",
    "\n",
    "Controls: intercept, linear trend, one yearly sine/cosine pair for seasonality, and the\n",
    "promotion flag. Then one transformed column per channel. Half-saturation is expressed as a\n",
    "multiple of the channel's average weekly spend so the three channels share a scale."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "b3b36f29",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T01:23:34.137658Z",
     "iopub.status.busy": "2026-10-25T01:23:34.137577Z",
     "iopub.status.idle": "2026-10-25T01:23:34.140827Z",
     "shell.execute_reply": "2026-10-25T01:23:34.140517Z"
    },
    "name": "design"
   },
   "outputs": [],
   "source": [
    "n = len(df)\n",
    "t = np.arange(n)\n",
    "controls = np.column_stack([\n",
    "    np.ones(n),                   # intercept (baseline)\n",
    "    t,                            # trend\n",
    "    np.sin(2 * np.pi * t / 52),   # yearly seasonality\n",
    "    np.cos(2 * np.pi * t / 52),\n",
    "    df[\"promotion\"].values,\n",
    "])\n",
    "control_names = [\"intercept\", \"trend\", \"season_sin\", \"season_cos\", \"promotion\"]\n",
    "y = df[\"revenue\"].values.astype(float)\n",
    "spend = df[CHANNELS].values.astype(float)\n",
    "mean_spend = spend.mean(axis=0)\n",
    "\n",
    "\n",
    "def media_columns(params, spend=spend):\n",
    "    decays, half_mults = params[:3], params[3:]\n",
    "    cols = []\n",
    "    for j in range(3):\n",
    "        a = geometric_adstock(spend[:, j], decays[j])\n",
    "        cols.append(hill(a, half_mults[j] * mean_spend[j]))\n",
    "    return np.column_stack(cols)\n",
    "\n",
    "\n",
    "def fit_ols(params, rows=slice(None)):\n",
    "    X = np.column_stack([controls, media_columns(params)])\n",
    "    beta, *_ = np.linalg.lstsq(X[rows], y[rows], rcond=None)\n",
    "    return beta, X\n",
    "\n",
    "\n",
    "def sse(params, rows=slice(None)):\n",
    "    beta, X = fit_ols(params, rows)\n",
    "    resid = y[rows] - X[rows] @ beta\n",
    "    return float(resid @ resid)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a051fff1",
   "metadata": {},
   "source": [
    "## 4. Search for the adstock and saturation parameters\n",
    "\n",
    "OLS finds the coefficients once the transforms are fixed, so we only need to search the six\n",
    "nonlinear parameters: a decay per channel (0 to 0.9) and a half-saturation multiple per channel\n",
    "(0.2 to 10 times average spend). A coarse grid gives a starting point, then scipy polishes it."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "id": "a67da6af",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T01:23:34.141818Z",
     "iopub.status.busy": "2026-10-25T01:23:34.141754Z",
     "iopub.status.idle": "2026-10-25T01:23:34.152277Z",
     "shell.execute_reply": "2026-10-25T01:23:34.151887Z"
    },
    "name": "search"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "              decay  half_sat_x_mean  half_sat_dollars\n",
      "search_spend  0.000             10.0           24254.0\n",
      "social_spend  0.007             10.0           17169.0\n",
      "video_spend   0.000             10.0           12194.0\n",
      "R-squared: 1.0000   MAPE: 0.04%\n",
      "intercept       19477.3\n",
      "trend               0.0\n",
      "season_sin       3000.8\n",
      "season_cos          1.7\n",
      "promotion        1803.8\n",
      "search_spend    41131.8\n",
      "social_spend    16488.7\n",
      "video_spend      8799.9\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "bounds = [(0.0, 0.9)] * 3 + [(0.2, 10.0)] * 3\n",
    "\n",
    "grid = [(d, k) for d in np.arange(0, 0.91, 0.1) for k in [0.5, 1, 2, 5, 10]]\n",
    "start = min(([d] * 3 + [k] * 3 for d, k in grid), key=sse)\n",
    "\n",
    "result = minimize(sse, x0=start, bounds=bounds, method=\"L-BFGS-B\")\n",
    "best = result.x\n",
    "beta, X = fit_ols(best)\n",
    "fitted = X @ beta\n",
    "\n",
    "params_table = pd.DataFrame({\n",
    "    \"decay\": best[:3].round(3),\n",
    "    \"half_sat_x_mean\": best[3:].round(2),\n",
    "    \"half_sat_dollars\": (best[3:] * mean_spend).round(0),\n",
    "}, index=CHANNELS)\n",
    "print(params_table)\n",
    "\n",
    "r2 = 1 - ((y - fitted) ** 2).sum() / ((y - y.mean()) ** 2).sum()\n",
    "mape = np.mean(np.abs((y - fitted) / y))\n",
    "print(f\"R-squared: {r2:.4f}   MAPE: {mape:.2%}\")\n",
    "print(pd.Series(beta, index=control_names + CHANNELS).round(1))"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "a8a106a8",
   "metadata": {},
   "source": [
    "## 5. Decompose revenue into baseline, promotion and channels"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "id": "051d08c8",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T01:23:34.153232Z",
     "iopub.status.busy": "2026-10-25T01:23:34.153171Z",
     "iopub.status.idle": "2026-10-25T01:23:34.253575Z",
     "shell.execute_reply": "2026-10-25T01:23:34.253193Z"
    },
    "name": "decomposition"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "baseline     0.760\n",
      "promotion    0.005\n",
      "search       0.145\n",
      "social       0.058\n",
      "video        0.031\n",
      "dtype: float64\n"
     ]
    },
    {
     "data": {
      "image/png": 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8eKD28ZNC15QsNEhVFmUdP23dV8qgiW0rcwzIk0gDleTBpWfpa6+9hgULFojntrKoev0ps1xF16gq51fde0Cd36XMfqly/2kCSi04d+6cuJcrgrz3lGYlG51CAzz//vuvuCalA5jabCs1vmmAl57lDMMoho1shqmjUIgjvSCps0ZhX4qM7PPnz4vw55Id5KVLl4qOCBmTVN6LlqcQYOoEjhgxQngNVGknCxnzVNqpSZMmIreR/lbWm02lvihnkYx78oirCxklVN6LOtBz5szBrVu38PTpU5G3R55qWr8s5Mkmo3r27NmIjIws5UVXdX3KQt4bKn+zZMkSEcpKBjflHJYMk6/M9skDSXVSafCA6qZSSCGVxKKQ/pI52cpuh9p9+umn2L59O2bMmCE8TJT/T+GS0txvug7eeustbNy4UVxHZNzRtUh53ORBWb58OTQNXXOvv/46zpw5I65V6rzTtilUV5pKoex+UeedyrjRNU7nhtZHKQV0/EreayWh/F86dtSRrcjLVpXHqU+fPsKrJZtfrerxa9asmbhXyBtL1wV16r/55hvhRaPoFynKHD9t3VfKUJltK3sMCAo9p2fmn3/+KZ6ldK+TMUbHtLxIEHWvP2WXK+saVeW3lUdZ61f3d6myX6rcf6pARivto7S+ND3zaBCbtBMIuldk+eOPP8T9RteZFIpooLJuNIhM66DfTe8dMtRL3uvaakvQM4COG737GIYpAxkRNIZh6hikJk6PAQcHh1JKuKQeTeVpaP62bdtKLUvz58yZU+Dn5yeUb6kUSffu3Qs2bdokSmCp0q5kCS+pOjKV0SFl67/++qtMdXFZ1WhS1Kb5W7duVer3K9quLFT+iUpKkYI27UdQUFDB1KlTC65cuVKq7bx588S6aB9ycnLUXh+p2pK6bUneeOMNsf6SrFixQigZ0/ratWsnFGoVlfBS9ffIQtfG8uXLC7y9vcVyVOKI1kWK4yVLeKmynZ07dxY888wzQgGclMDpd+/evVuuDZVUa9y4sVgPtaNr5+jRo3JtyjpmdDzoUxJF6sHSddC11blz5wIzMzNxrb7++uvi2ipJRftFpYVWr15d0LZtW6EGTYrmtI0NGzZUqHBNZZr69u0rjgmdc1q+vPaVPU5lXVuKIHVrOmclUeX4kZp0ly5dhKIylQQjpff09HRR+urVV19V6fgpe72poi6uyjFS955S5hh8+OGHYpu//fab3LJUrYHub7q2pc+akr9FleMni7LLlXeNKvPbyjvW5a1f3d+lyn6V99sUQarv1E7Rp+Tz8ciRI6ISgKenpygxSBUAqNTjjRs3Sq2XfhOt488//5SbTvcYXXO0f1ThoWPHjmK9itBWWzrm0uokDMMoRo/+KcsAZxiG0RXoUUYhlSRgQ3l2qnhNGIbEkyjsmiIumLKh1BKKcrl48aLw+DEMox0oWoiiQuhek+ql1ARonygN5fjx42jVqlV17w7D1Fhqzl3LMAxTCahUEeWEkqo3G9gMox0oxYTyNym8lGEY7UGpUiTUVpMMbILufUpHYQObYcqHPdkMw+g8JMBCOd6kOEv5vZXJx2bqJuzJZhiGYRhGU9Ss4TGGYRgVIWEgKhVGAmAktMQGNsMwDMMwDFOdsCebYRiGYRiGYRiGYTQEe7IZhmEYhmEYhmEYRkOwkc0wDMMwDMMwDMMwGsIQdZz8/HxER0fD0tISenp61b07DMMwDMMwDMMwTA0tGUuCu25ubuWq/9d5I5sMbE9Pzyo9OQzDMAzDMAzDMIxuEhkZCQ8PjzLn13kjmzzY0gNlZWVVhaeGYRiGYRiGYRiG0RVSUlKEg1ZqQ5ZFnTeypSHiZGCzkc0wDMMwDMMwDMOUR0Vpxix8xjAMwzAMwzAMwzAago1shmEYhmEYhmEYhtEQKoWLx8fHY8WKFfjnn3/E30FBQXjllVcwdOjQojZXr17F8uXLcfDgQeTk5KBFixZYtGgR6tevL7eujRs3iukREREIDAzEkiVL0KNHD620qYx6XG5uLvLy8jSyPoZhGIZhmLqEkZERDAwMqns3GIZhaq6RvXLlSnh5eWHr1q0if/m3337DiBEjsGvXLnTt2lW0eemllzB+/Hh88MEH4qH69ttvo3Pnzrh8+TJcXV1Fmz179mDMmDH46quv0K9fP2zYsEH8f+rUKTRq1EijbdQlOzsbjx49QkZGRqXWwzAMwzAMU5fzFkmB18LCorp3hWEYpsrQKyB3bSUgo3vKlCl47733FM7PzMwU6mvr1q3DhAkTxLRnn30WpqamwiMupXnz5ggLC8P333+v0TbKKMRZW1sjOTm5SPiMamffvn1bDBI4OjrC2NiYa2gzDMMwDMOoAHUxHz9+LBwWFG3IHm2GYXQdRbajRtXFKRT8r7/+EmHjPXv2LHdHKNxaOoJJD9yjR4+KEG9ZyBP+559/arRNZbzYZGiTPLu5uXml1sUwDMMwDFNXIWdFeHi46Deykc0wTF1BZSP72rVraNq0qTBETUxMsH79erRq1arM9q+++irc3NyE15lITU1Feno6nJyc5NrR95iYGI22UURWVpb4yA4ClIW+PuvCMQzDMAzDaKvMDcMwTG1EZSuyXr16SEpKQnR0ND788ENMmjQJ27dvV9h2wYIFwttN4mQlc3FKGrD0vWTkuqbayLJ06VLh4pd+yFutC0RGRgqRuaqABilmz55dJdtimLqGrFAkox0+//xzHD58mA9vCU6cOIFPP/2Uj0sNY/To0cLLyzAMw9RhI5tGJCkP2sXFBXPmzBEe6i+//LJUu2XLlgkjfMuWLWjbtm3RdMrPphBsytGRJS4uDs7Ozhpto4h58+aJGHrph4xXXYD2lQTmqoK0tLSigRM2uHUHynmT6h5I9RDGjRtXrfvElKay6Sx1GWWNZxK/pIoTdZGzZ8+K968iHj58KAxtRjOQ8CulllUWckZwFROGYZjahdo52VLIa1zSc0zGNXmx//vvP3Tp0qWUkU7h5VTiS9Zbun//frRp00ajbRRBIe70UYdnPjoAbbDvtc6oqdBgRp8+fVAj+aKZdtY7+yx0EUrhkBUBpLIpQ4YMQU2k3+Z+Wlnvf4P+08p6dZm7PXtpZb3+OxRHMGkTeraXN4halfz8nnaM1TEftK7U8u7u7ujQoYPG9ocpf8CMjGxOLWMYhmEq5ckeO3Yszpw5I3KaKZd51apV2LZtm5y37OOPPxYGNnmwpWW9SvLyyy/j33//FWHk5H2j9dB6yTOu6Ta1DfJmP/fcc+IYS8uLUX46haAOGzYM06dPFyXWpFAHgI4LlVWjNrIejtjYWLzzzjvC+0nn7enTp6W2R+uWrk8ask4DGbQdWpbmq7K+2gQdi2PHjuH111/HzJkzceXKFbl5x48fF5ETVFueoBQL+j558mRRbk46OEXHkKYdOnQIL7zwAt58800xja5tOpZ0zmRDCctaz+LFi8U1QedZGn4o6zWtaPvk/aPtz507t1SESG3j/Pnz4pzRPUPHS/b3/vTTT5g6dSpefPFFUXpQCoXZUlsqG7hkyRI5PQeqrkDnj65/aaUF0oygc0/PR1pO1gNL1wo9p2gb5F2szdy4cUOUdhw+fLg4Dvfu3RPT6fojTQ9KOXrrrbdKaWmQd2/GjBlimeXLl4tpdE9JPdS0rPRaf//99/HkyRPUFeg+lY3Cont34cKF4u+oqCi5a42e1/TOoLKaFKUky82bN8X9TueAjqesN/XkyZOYNWsWnn/+ebGO2s60adPE9UTHgp6Psh5qRfcyPZepDXmzaVpCQoJ4jkqheXRtKrP+8qBlLl68KO4hKptK0D1Az/KJEyeKEqbS98Mbb7yBq1evyt17dH6llLUcLUPPLXrX07OPBGUpEoo4ffq0eJ9LoWcivWsqWifDMExdRyUjmx6iJGRmZ2cnah5Smazff/8do0aNKmozf/588XDu3bu3CCuXfmRVwKmWNYWY07ooV5se4PTykBVQ01Sb2sT9+/fx9ddfi/B7evFJX+DkmR85cqR42Tdr1ky8VA8cKPS6f/fdd/jhhx/QvXt30Ubq4UhMTBSDIOSpppB/eonT+S0vdJxC1tesWYPVq1ejXbt2OHfuHF577TWV1lfbBjxosMHf3x/29vaiHjwNNEjnUUfY19cX7du3F8exZcuWwgim75988om4VwgatCLDjq5funYp3LNTp07iWqZj+scffxSlZJS3HlqGvNd0nsl4zM3NxebNmytcTrp96jjR9snoo45WbYU6gVQRwc/PT9wzdLwkEomYR9czDRzSufTx8UHfvn2FKq7Ui0ptaRrdi7IdaoqooWuB0mgoeoeMFVoHGYU9evQQy3l7exe1p4EZEpCkgSjah9oMHWsSpKRrko6Dra1tkUFAzzN6JpHOB12fZMwQ9L6gwaZGjRrJPbdkw8DpWUfz+vfvL55NNTVqQxtQWUl6rksh44aeQcSjR49w5MgR8TeFhtNxJy0VusZpEEjK9evXxTGj6/KZZ54R73IavCXo/dKrVy8xLyQkRKxDm+lK9Fyi94m2PtIB6fIYMGCAuJ7ovqW+DV2bRFn3Ml2TFFEnfYbQoBENjEohI5oGiipaf0XQQCndK02aNEGDBg3E85n6V3RP0Xt97969wgAnpOVSpaxdu1ZMI8pbjgYZ6Z1A75qOHTti9+7dcoM29Nul0DtOOohT3joZhmHqOiqFi3fr1k186GVSllokdZYUCY8ZGspvikbW6VNeqJWm2tQWqPTFr7/+CjMzM/Gypg49vRypPAblp1N4PpVUI0Nrz5494mVOXkoaFKGOEr2kpefhl19+EcYVdVrpQ8dvx44d5YrGEbSdn3/+WewLdXKlAyzlra82K4uSB03auafOP0VVSNMXqMNKA0EEGcx0Dj777DPxnYxZMoplPQJ0bun4Ui1R8l5QVAZd0zRIRZ0fitygCJGy1kPGM517qbCWrNeqvOUIOk90DqkjTkYkdcprKxRWTx1nMqLpGDg4OBQZ3zSYQekRf//9t5hGx5/uJRp0oIFFOo53794VA4n79u2TWy8ZzuSlIsjzRx176iAruv6pI0xVF8gzRp3g2vr8ouuKBhKkRgk9s6TQgB1d4wEBAWLAgjxkNKBH1y91+CkyICwsrNywaHrmkTeWzgcZlHRuyQCt7dB1Robv22+/Le5z8kAqEjQjjykNVtCzg6BzIfV0kpFHx0o6IEvnitJNyONNXm2KxpF6Qem9QeeLjExtQB5Xep9oCxq4pEGt8qA0BBpspIgKej7QfU+efLoOFd3LXl5e4vvgwYPF8aG+jzrrVwaKRqMBW4LOD0ElTAl679J5o4EWinyiwSpp9BS9U6QGMp3TspYjXF1dxfVC0P0q3U55VLROhmGYuoxaOdnlGU2q5jsr07HUVBtdh4xpMrAJMrxo9JiM6gsXLojQV+oU0YucOlxSA4u8a/Typ4EICi8k7yWNNJO3gzqwZKxLkQ1tKwvaprTOJRlkUg+BuuvTdaijJYU6JnQ+pEg7RQQNhsh6Mmkeef+l4ZlUzF5ak53+p+Msvabpu/Q4V7SesqhoOVLal3pzZc9rbYR+H3U+yaCm+4I63+TFIwONkI3Moeu5cePG4m/y9pFXljw31KmW9VqVPN/k7aEIh7KelWRgE3Qv0XmmbdM9Xdug30/RFCtXrhTPneDgYDHgRNc3hdvL3j90/Og6pWNB1yYZ3+UxcOBAMXBEkTP0XKTnHl23dcHIJg8/PRcoXYUMVIp4kUYIyELHkwbGpdAzQGpk0zObojNkdVOkVUBoOYpWkj03NICoLeg8kiGszfWXB0Wm0OAaRcXRMaFjJDVOK7qXpZScLxsOXt76lUH22ULnjZ5Z5BmXIr3mqVoKvYcpGoegwVLpc7+85aRGthTZd0B5v6uidTIMw9RlKi18xlQdDx48wK1btxAUFITbt2+LjhB542jkmDqc5EGlFyCNRks7XNRxp1wr+tAy1Dmjzi55tSmUjUICpcZVZdD0+nQFCqtr0aKFMFYpVI5ybBVBHR9SRiZPEhkE5LGjjp90wEJZylsPDXCRN1ZR9ICmtl9boNBG+tB5o3Bj8lyTN5WiPug4SiMQpNCgFYVGfvTRRyJaoKSBXRK6z+h+pA56TRHqqi4ovYU+dF2SNgRFTJDXn4xoCkGmyAkKEyePIeWtUic9NDRUGOeyg3YloTBgMqxtbGyEsSnNIa0rUDoOhR1T2DfltCuC7vudO3cKrzchG/JNz2zyQNJzoeRzQLqcVG+Fnhf169fX2m+hAYOKPM3ahIxeumcpLJuQLZdZ3r1M71fy3tKgG0WkkGFKA0T0/pXNiy9v/apC543OOz23FBm00uuC7jdpZI0yy5UFpSHQIIEU2d+l7joZhmHqAmxk65gnm7zDFN5KYZYUzkUGExm2lEdFnS3yVtM08hhJw7mog0Qv3GvXrhWFNlOIG4VaUkeXjER6QZLxToJO6qDp9ekKFBJPhjZ1wOj8lJUXSl7Q5s2bC88CHRfy2pCxoSrlrUd63ikEmkKbKbxT09uvDZAAnFQckXJ5SYSMDA2CBqhI4JGMDGkYOYluUf42efbIq01hytLc4bKg40w5+bSe1q1bi844DcDUNdVnSleRdvRpoIIMY/LmERQSTkY3XZfkjaVnmPT4UCgzhY1/88034jxQCCwZ5rIMGjRIPGvIy0ilG6Ve2LoCCfDRvUy/mwaMFEHXOQ1wUHoIDcDSM0IaRUEh5BSyTOto2LChMLTJq01RUXSt0vmgEG4adKLnmzSsvDZC3mWKaqFnJw3W0PuSoosqupfp2NKzlTzIFApO54SOGR1T2ei68tavKlOmTBGeanrXkpFLg350D1FagPRdLE0PoH1SdrmyoHuP9pn+p2uBlpMa1Oquk2EYpi6gV1BREm4th0IWKVSWOtvSlx69UGjklkK0akoIJ+0nqb3Sy5pynqmjLzWkpeIkly5dEh0C8s5Rh5ZGzimU/M6dO2KkncLG6EUoC3nGKaeRRuNpxJo6WWRA0Gg1hcbK/i3dB2mHjkbtyftE88pbX22FPDsUdkzhrXSc6NxQJ4Mgw5s6tiU7UnQ+qMNKXhsyyglanrxGUu8pXYskPCQN86QcPsoDlg3fVLQegs47eafo3JB3gQY+KMpBle1TZ5w8tbLL1TbDj34vefvp3qeOs6yBRsefjEGpWrU0FJeE5Oh6J68bdaTp2FKHVip8Rt5X2XNB0HOEjHi6H6iTSuHRlF8vzZsnyItO56o2przQtSX1+tO9QEaxbFgzXYt0TVKoKhl6slCaCw0GkWeQnnd0f9F9Qd5EOo50nZLAFx036tjTPUfPIroHZdvVZshIpuNK15aUks8LejZRvjodQ/K2UkSGrDgoiVTSdUrXN0VG0bEkpBobdJzpvEnTWWordL3RcSKDmdIZaOBHdlBM0b1MfQW6BmlZGvSha5GiKqTXJGk40PSK1k9RGxRyregZUPJ5IYUGzSk6jaKX6P6RfT9Ivc2KBvUULUdRcTSdBgEIuufovpS+v+kaot9F1xANetF7njRAlNmXmtqnYhiG0aTtqAg2snXEyGZqppFN+aXaDKNkGIZhGF2G+1QMw9RFI7v2uU4YpoqgcNfa7iljGIZhGIZhGEY1OCebYdSkrDxIhmEYhmEYhmHqLuzJZhiGYRiGYRiGYRgNwUZ2OcjWg2QYhmEYhmFUo47r6zIMU0fhcHEFUHkKUvmkUj+kFkzfS9YdZhiGYRiGYco3sEm9nPpQ0uobDMMwdQE2shVABjYpiz969EgY2gzDMAzDMIzqkIHt4eEharEzDMPUFdjILgPyXpNyNNUOpbrTDMMwDMMwjGqQB5sNbIZh6hpsZJeDNLyJQ5wYhmEYhqnJ/Pfff3ByckKrVq2qe1cYhmHqPCx8xjAMwzAMo+O5z9Ofm46FCxdW964wDMMwrC7OMAzDMAyj20REROBRzCOcPnWa1bwZhmFqAOzJZhiGYRiG0WGOHj0q/o97HIeoqKjq3h2GYZg6DxvZDMMwDMMwOsyRI0dgJbEVf585c6a6d4dhGKbOw0Y2wzAMwzCMDnP40BE0DeoAOytHnD59urp3h2EYps7DRjbDMAzDMIyOkpSUhGvXryLIsyF8XIJFXjbDMAxTvbCRzTAMwzAMo6McP35ciJ0FeTWEr2uICBen7wzDMEz1wUY2wzAMwzCMDudj21jawdnWA35uoUhMSsT9+/ere7cYhmHqNGxkMwzDMAzD6CiHDx1GoEdD6OnpwdctREzjvGyGYZjqhY1shmEYhmEYHSQ7O1sY1JSPbW1ZAFsrWzjZubLCOMMwTDXDRjbDMAzDMIwOcu7cOWRmZQoj2xYJsJLkw9s5hMXPGIZhqhk2shmGYRiGYXSQo0ePwsTYFN4uwbBIuAcrJMHPrR7OnjuH/Pz86t49hmGYOgsb2QzDMAzDMDrI4cNH4O8eCkMDQ5jdPwtJykOhMJ6Wlopbt25V9+4xDMPUWfRVzf1ZtWoVevbsiebNm2P06NE4ceKEQqXL/v37o1GjRhg6dCguXrxYrW0YhmEYhmFqE1Sm6+iRI0L0TCIBDBJjYRp9g8XPGIZhdM3IfuONN3Dv3j3MnTtXGNuurq7o1KkTTp06VdTm7Nmz6NatG+rXr49vvvkG9vb26Nixo1iuOtowDMMwDMPUNm7fvo34J/EiH9vGME1MM4q6CWsLS7g6erH4GcMwTDWiV0BDoUqSk5MDIyMjuWmenp6YNm0a3n33XfF98ODBSE5Oxt69e8V3Wn29evXQtWtXfPXVV1XepiJSUlJgbW0t1mNlZaXsoWAYhmEYhqk2vv32W0ydOhWr5+5CU0kkbI5tFNNv95iPBRs+QIFFGo4fP8ZniGEYRoMoazuq5MkuaWCfPHkScXFxaNOmTdG0/fv3i3ByKVS3sXfv3mJ6dbRhGIZhGIapjaJn3i6BMDe1gHnk5aLplvmJQvzswoULyM3NrdZ9ZBiGqasYqhOe1K9fP6Snp+PJkydYt24dunfvLualpaUhKSlJhJHL4uLigocPH1Z5G0VkZWWJj+xoBMMwDMMwjC5x6OBhBLg3gLGxHowe3iiaLkl5AF/XesjMfIpr166hYcOG1bqfDMMwdRGV1cW9vb3x999/Y9OmTZgxYwZmzpwpPNpEXl6e+N/Y2FhuGRMTk6LR1Kpso4ilS5cKF7/0Q+HuDFMZKE1h8eLFuH//Ph9IhmEYRus8fvwYd+7eRpBXI9iaZ1HuX9E808ir8HENgr6ePk6fPs1ng2EYRheMbDJqQ0JC0Lp1a6xcuRItW7bE8uXLxTxLS0sxPz4+Xm4Z+k6iZFXdRhHz5s0TMfTST2RkpKqHgGHkoDIp8+fPxw8//MBHhmEYhqmSUHGCRM+ssh7JzTN6dA+WEgncnXxY/IxhGEZX62Tb2NgUhVzr6+ujadOmpcp6HTt2TJT8quo2iiBPNyWpy34YpjLs2LFD/H/m9Bk+kAzDMEyVGNkOti5wsHaBJOZ6qfnW5jnwcQnByRPF1V8YhmGYGmpkv/XWWyJEScr27duxdetWDBgwoGja9OnT8eeffxaV9aI2Bw8eFKHl1dGGYbTN9u3/N7LPnOWDzTAMw2idw4cOI8CtAfT1AZO7F0rNt8xLEOJnV65eltOhYRiGYWqg8FlAQABatGghSnllZmYKtfGFCxeKvGwpEydOFOJoVD+bvMQkkEbh5M8++2y1tGEYbfL06VMxsOPvHoa7UVcRExMjxPcYhmEYRlvvnXPnz2F0tzmwtsiDXk5pI1qSGCHEz6i/dvny5XIj/BiGYZhqrpMthQwJMrDLy30mg5fKe5H6t6mpabW3KQuuk81Uhl27dolBnVdGLMfK31/Hli1b0KdPHz6oDMMwjFY4dOiQcC4sfu4HdA60gfOer0u1yXXywjHP0Zj2YTd88cXneP755/lsMAzD1NQ62VLIU1eegU1IJBL4+vqWa/RWZRuG0QY7d+6EvbUTGge1g4W5Fc6e5ZBxhmEYRnscOXIE5mYW8HTyg+TJXYVtDOMewFJiCi9nfxY/YxiG0UXhM4apy2zbuh31fVuKUinezkEsfsYwDMNo3cgOcK8PfX0DmN0tW3DT2jSLxc8YhmGqCTayGUZNqPzbjZvX0TCgtfju6xqCs2fP8fFkGIZhtEJ+fj6OHT2OQI8GsJQABilPymxrkftEiJ9dv3ENGRkZfEYYhmGqEDayGaYSoeLkwa7v20J893ENRvSjKKEPwDAMwzCa5tq1a0hOSUKwZyPYGBaWTy0LSWK4GPwlw/z8+fN8MhiGYaoQNrIZRk2oZJy/RxgkZoWiB9SZITgvm2EYhtFWqDiFifu5h8IyJaLctqYRl+Dh5A8jQ2POy2YYhqli2MhmGDXIzc3Fnt170NCvVdE0J1t3SMws2chmGIZhtGZk+7oFw9TYDGYPLpbb1iAhBhYSQ3i7BrGRzTAMU8Wwkc0wanDy5EmkpKaggX9hPjahp6cHH5dg7swwDMMwWuHw4SMIdG8IE1M9GEUrVhaXxcY0C74uwTh54hSfEYZhmCqEjWyGUTMf29LcGn5uhSHiUoSRfZrLeDEMwzCaJSoqCg8eRCDIqyFsTZ8qtYwk6zF83erh9p1borYrwzAMUzWwkc0wapbuCvNtIXLjZPF1C0FU9EM8fvyYjyvDMAyjMY4ePSr+D/JsCKuMaKWWMU+4Bz/XeuJv1gthGIapOtjIZhgViY+Px7nzZ9FQJlRcCimME9yZYRiGYTSdj+3i4AEbC3tIHl1TahnTiMtwc/CGqYkZpzIxDMNUIWxkM4yK7N69GwUFBWjgXyx6JsXZ1oPFzxiGYRiNcvv2bfz5x58iH9vAADC+X77omRSD5HhYWBiIVKbTp8/wWWEYhqki2MhmGBXZsX0HvF0CYGvpUGoeiZ95u7CSK8MwDKMZDh48iFYtWwE5hhjUcQpsLHKhl5er9PLWRk/h4xKCUydZ/IxhGKaqYCObYVQgPz8f23fsQAO/0qHiUlj8jGEYhtEE3333Hbp36w43W3+8N2ktnGzdYJ0Xr9I6LLLj4OdeDxEPwvHkyRM+MQzDMFUAG9kMowKXLl3C48dxCkPFpfi6huBhVKTI3WYYhmEYdQZ033zzTUyaNAntGvTC3NGfQGJmJeZJHt9SaV3mj+8WiZ+dOcMh4wzDMFUBG9kMowI7duwQAjKk7iqLi02mnJFNsPgZwzAMoyoZGRkYNnQYli9fjtHdZ2NK3zdhaGBYNN/s7jmV1mcSfgnOdoV6IWxkMwzDVA1sZDOMivnYod7NYGRoLDfd+cFhIUZDONm5w9zUgo1shmEYRiUePXqEDu07YuvWbXhp+DL0bjNaaH1IsbIsgH56suKFzUwUTqb2FhZ6CPRoiO+/+0EY8QzDMIx2YSObYZQkNTUVR48dLRUqbmSkB9Nbp2AtyS+8qfT04SPEz87ysWUYhmGU4uLFi2jerAXC70XinQnfoFlwx1JtbPTKMLABpAW6Id/JTuE8a8MMjOo2CxEREXj11Vf5jDAMw2gZNrIZRkn27duH3NzcUvWx7cyfCqVXy4KkEuJnnPvGMAzDVMzly5fRsUNHmOhZ4P1Ja+HjGqywnUVyeJnreORijGQvxUa2RWYM3B19MKrbbHzzzTfYsmULnxaGYRgtwkY2wyjJzp074ergKXLbZLHNeCD+l6Q+LJrm4xaCyIcPWMmVYRiGKZcHDx6gR49nYWfhgnnjvoKdlVOZbc3Dz5c574ZdFiJcFHfrzONui/+7NR+MxoFtMXHCJMTGxvKZYRiG0RJsZDOMEhQUFIgcufq+LUvNk9w9Kf43jb5RNI3FzxiGYZiKoJJa3bv1QH62Pl4btRLmJpIy21pbFsAwrnBQtxR6ejhr8RhXbNMVzjYOv0xNRH73tP5vIzc7Xxja9G5jGIZhNA8b2QyjBLdv38aDBxGlQsUl5oDRo3vib6OomzD8vwAsebvNTSUsfsYwDMMohATI+vbpi5joWMwdtRI2FvZlHikH61wEn/i8zPl5rg5IMsjCebM4wERemJPQz0yHhaTQoLaW2GFav7exY+d2rFq1is8OwzCMFmAjm2GUDBWnEir1fJrKTbczLBah0cvPh5V5XuGNpacPb8rLZvEzhmEYpgSk7zF82HCcP38Rr478GK72XmUeIw/rNPjt+xD6acW6HyVJ8rQR/+fpFSDT21lhGyuDYi83hYxT6Pgrr7yK69ev8/lhGIbRMGxkM4wSbN++HcHejWFqbC433frJTbnvlgXFRjeLnzEMwzAloRDt6dOnY8fOnZgzdDH83UPLPEgB5g/hsetj6OfmlnsgHzgVd+di3eXfU1IsMh7JfR/VfTYcrFwwYvhIZGVl8YliGIbRIP8PbmWYus358+dx9+5dxMfH4/HjxzKfeMTFxeH6tWsY2nm63DKU32Z+67jcNElqJPm3xd++rsHYfuJXkXNnb192GCDDMAxTd3j33Xfx7bffYvqAd9AooI3CNvr6QL3c87Dc/69S67xik1r0922HHHgraGMWexuwCyz6bmJkihcGfYD31k/B22/Px0cfrVDj1zAMwzCKYCObqdPk5eVh3rx5WLGisHNhoG8ASwsbWElsYGlmA4mJFZwkAQhq3xKdm/aTW9bGMq9U+J5Z1HXAvZH428c1RPx/7tw5dO/eHTUZGkh4+PChGAyws7ODhYWFEMhhGIZhNMfXX3+NRYsWYWTXmejQqLfCNsbGegh9vBOmN+QHccvE2BgXzB4XfT1j9QTdFDQzCb8IiUdvpGcUT/N2CcLQLtOxcuXH6NOnN7p06aLyb2IYhmFKw0Y2U2dJSUnB6FGjsX3HdozuPgcdG/eGuamlyKdWBrvc0uVPDKNuwdCb8u0AF3vPIvGzmmpkU17g559/jvlvv4OnmcU9LyNDI9jY2AqDmwxvewc7DBkyBBMmTKjW/WUYhtFV/vzzT8yaNQvPthqOPm3HKGwjkQAhN36GUXRhyS1lyPJ2Qp5eTNH3GMN05DvZQT8uQa6dXk42Ah/txEWbZyErKt67zWhcunMCY0aPxdVrV2Bra6vOz2MYhmHUNbJzcnLw22+/4eDBg+LvFi1aYOrUqTA1NZVrt3fvXvEyIe+Ym5sbRo8ejdat5VWZ7927hy+//BIREREIDAzESy+9BBcXF620YZiS0HXTt28/PAh/gFdHflRmyF55WERfLDVNr6AA1pI8PEk2EMa6l0tQjRU/Iw/75ElTcOnyRXRvMRTtGvRERmYq0p6miE+6+D8ZaekpuB39EBP/m4jk5GTMmTOnunedYRhGp/jhhx8wZcoUtArtijE9XlQYKUQluoJOfw2D5HiV1v3YrXTZr2QvO9iWMLIJ0xsn4Nu1Me6lFYuj0buKQtffXjMez894Ab/9/qtK22cYhmEqKXzWtm1b7NmzRxjMnTt3xurVq9G+fXtkZmYWtVm7di169eoFZ2dnjBw5EsbGxmjXrh3+/bc4r4hyX5s3b47o6GgMHDgQFy9eFN8pB1bTbRimJDRI1KJFSyTFp+HdiWvVMrCNjPRgeuecwnmW+YlFf/s4B+PM6TM16iSkpaXh5ZdfEYNkibFpeG/SWozv+YoQ32ng3wpt6ndH9xZDMLDjJIx99iXMGPgu3h7/Ffq2HYsXX3wRX3zxRXX/BIZhGJ0ROVu8eLGIAmrfoBdmDHxPYbSUmRkQeH6dygY2cdexsKqFLBEuZXfvHA6uEwa9LPbWzuJ5//vG37Br1y6V94FhGIaRR6+A3gBKEhsbK4xnKVFRUfDw8BBe68GDB4tpZHx7eXmJUVspFCpLIafkBSfoZXP16lWcPn1ajOZmZ2cjICBAeLyXLVum0TbKhAxbW1sLD52VlZWyh4LRUWgQ6IUXXkCId2PMGrwIFmbWaq3HxToTPrs+VDgvpeUAXNNrLP4+enknVm1+X4ifUeh1dbN161bMmP484uIeY3DHKejZeqQoTaYM9Kj4dc+X2Hb8FxE9MnPmTK3vL8MwjK5C6Tj0nFyzZg2GdJqKgR0nK/RgGxoCDaP+gnH4ZbW28+lke4QbFVe2IJpnOGPsj1FlLpPtGYKLniOQlyf/jF/642xkFCTg2vWrMCPLn2EYhlHLdlTJky1rYBMODg4wMjISG5MSEhKC27dvC0EpIiMjA+Hh4QgNLS5RsWPHDgwaNKjoZUPe7n79+onpmm7DMNLODnlhn3vuOXRpMgCvjfxEbQObsEmPKHOe2cNrRX+Twrg0NLs6iYmJwbChw9G3b1/Ymrhh2Yyf0LfdWKUNbILus1HdZqFX61Eir5AEfBiGYRjFEUMDBwzE+vXf4rn+8zGo0xSFBjZNCk07oraBXWBtWcrAJs6bxQEmxmUuZxx5AwEGd0rsix4m9p6Lh1EPsWTxEj6tDMMw1VUnm8JG9fX10bVr16JpK1euRKNGjeDn5yc82JQnPWzYMLz11ltFRjflapMHXBZPT0/cv39fo20UQbUgaVBA9sPUbp4+fYq+ffriqy+/woRer4mPKsalIiR3TpQ5z/DRHRgaFf7tYu8FMxNzIX5WXRw7dgwN6jfErh178MKg9/H6mE/gZOuu1rqoEza6+2z0bDVSeGi++eYbje8vwzCMLkNRf106d8G+ffvx6ogV6Ni4T5ltgwxvw/ziXrW3lebtoHB6nl4BMr3lHSMlsTnyCxytc+SmuTl4o1/bcVj24Ye4ceOG2vvFMAxT11Hb0ti9e7cwnD/99FNh2MpO37hxo+iAN2jQACdOnBChUn369BG52RTSTZibm8utj75L52mqjSKWLl2KDz74QN2fzeggJIa3/8ABzB39Cer7taj0+kj91Sg2vMz5QvzMPBdPkg1F7h2VSDlbTeJnlLYxdeo0+LmG4sWJS2AlqbxqLBnaY3rMQQHy8fzzz4vv06fL1xBnGIapas6fPy8GzumZJP2QI0D6N0XeUb+Eot60xa1bt/Dssz2RkpiKt8d9DZ//RzMpwtsqAba7f6nU9qJdy/4tse5m8L6Fct9V3me/Q3Loc8jOLs4c7Nd+PI5f2YVpU5/DocMHuZwjwzBMVRnZJBxFQmPvvfeeyG+Vhb5Th3vhwoXi+/Dhw5GQkCAMHcqdpvq7BgYGYposlLNqY2Mj/tZUG0VQTeRXXnml6Du9kGUHCZjaxU8//SQGeab2m6cRA5uwN5Cvja0Iy/wkPEGhh8HHJRinT59CVZKfny+u9eXLl6NT476Y1Od1GBr8372uAajDOrbHSyKHb8aMGeI7heIzDMNUNUlJSXhu2nRs+mNjhW0tJVbo3bsPRo0ZgR49emg07/jo0aMY0H8AzI2t8e6ENXCwcS2zrZN1Nlz2fFXpbd60yypz3m3HPHhXsLzhk2gEPj2NqwbNi6YZG5qIsPFlP72IH3/8EePHj6/0fjIMw9Q1VDayDx06JLzSb775Jt5++225eZSHTSHc/v7+ctNJjEyqVmloaIiwsDChBC7LhQsXRJi5JtsowsTERHyY2s+1a9cw/bnp6NC4Nzo17qex9VrFVxxCJ0mOBPT/b2S7hmDHyd+RmJhYJfVHKRdwzOgx+G/Lf6L+d6/WI7XiiaB1jnv2ZRQU5IuBNbqvuI42wzBVCQ36jx45BklJyaIMVYBHfTH4BxT8vxZ0AfIL8knVC1k5mbh45ziOHjiA3zf9CjMzc/Tq2RsjRw0XVVFo8F5VqM9D0Xs///yziNwL9WuKF4cshcSsbDEcUvb2Ofwl9PLzK/fj9fVxxqLsaipnLOPRTYnVWJ7ZCvceIYhKLv799f1aom39Hnj5pVdEn4/EaxmGYRgt5WQfOXIEvXv3xhtvvIF33nmn1HzyLDdr1kyoiEtDttPT04X6eKtWrYra0agovZRIEI0gQ3nnzp1yo6WaasPUTei6GzZ0GOytXTCh52saMzJpNWY3jymeIYNp1PWiv31dQ6pM/Izqxbdt0xa7d+/FKyNWoHebUVoN9aN1j+/5Kjo06o1Zs2aLDifDMIy2oT7G3NdeR5cuXWBl7Iglz/0gnkOu9l4ir9jNwQfujvTxhaeTPzydA4QBPqTzNCx7/mcsf+FX9G09DmePXxIRdw4Ojujfb4CoTPL333+LfOScHPl8ZSmpqanCw0uGuZubG15+6WXkphjhhcEf4PVRn5ZrYJua6iHw4nroP02t9DHIdXVAin7ZnuwYw3TkOylX1cL96DqYm8u/K0b3mIPMp1mYO/f1Su8rwzBMXUOlEl40kkkvtk6dOslNp5JZ9CGuXLkihM7oJRQcHIzLly+LcOzNmzeL0l4EvbjGjh2L7du3i/wo8j6TB+yrr74qMgg01aYiuIRX7YMuaboONm38Ax9M/lZ0tDSFnVUegnYvKjU9pZEvrC4WC+4V6OnhXLv3kJNTgPz8PMz5bADsHKzx7YZvS90/mhQ4IzVb/XxjvDx8OTyc/FBVpGYk47WvhmH8xLGsOs4wjFYhA3jEsFG4eu0yhnR+Dn3bjoG+voHa64tLjMLp6wdw9uZhPHx8FxmZaUURc35+/ggNrScqp3h7e+PAgQP4999/haBmmH9TtAzuipahXWFpXnG1CgMDoGHsPzC5ewGaIL5VIBY1LlvolXjvrA9sz8iriJdFZkgbXLDuITdt75m/sGHbChw+fBjt27ev1P4yDMPUBpS1HVUyssmYlZbmkiUoKEh8pFCb69evC4VNd3d3YWwrMnpv3ryJBw8eiHByX19fhdvUVJuyYCO79rF+/XpMnToVMwa+h/YNe2p03QHmUXDYv67U9I1jPDH892ggt/j+uNPjbcQnF2ZkPHryAOu2LMHNiItCFJAE+CwtLTWyT3S/0W+ePXs2/NxCMWeIZgTOVGXLsZ+waf83onY93fMMwzCahLorX3+9Cq+9+ipsLZzwwqAP4OsWovFtJKcnIDo+Ao/iwxH9JAIxCRF4lPAAcU8ewdc9CC1DuqFNWLdyc64V1cIOS9gNs+sKIqHU5Gz/IPzoeq/cNhOj/NB4SznqZyWI6vEyIpOLO40Uar9gw3QYSvJw8dIFrYrGMQzD1FkjuzbCRnbt4tKlSyI1oV39npjU+w2Nr79xwjaY3j4tN63AxgovD0/Hih2OMHoQUzQ9ptsLCE91lOus7Dn9JzbuXwUnZyesW7dWlLlTF7p1//nnH7z99nxcu3YVnZv2x0RRnkxzAmeqkJ2bhTdWjULbDi3x9z9/V8s+MAxTOyHP8eBBQ7Fj5zZ0bTZIhDKbGJlW6T7k5uWo9Xw1MtJDWNw2mN7SrADmd+NdccGs7JxsonmGM8b+GKX0OvOsHXCh4SzkyKiNR8TcxjvrJmHRooVCUJNhGKYuk6KkkV2pOtkMU9Mu+iFDhsLV3htjeryk8fVTR8nkbulSXPEhziInO9nVorT4mQxUzqtHy2FY8tyPsDJyFMq206ZNEzepqsY1lcqjwYRBgwbBIFuC9yevxdS+86rNwJYq0g7tPB3//PuPCC1kGIbRFDSYuHfvHrwyYrmollDVBjahzvPV2FgP9R/9rXEDGybGuGwaX2Gz82Zxoq2yGCTHw7/gptw0b5dA9Gw5HAs+WIj798sPT2cYhmEKYSObqRWQ4UklpKKjojFz0EJh8Gkae8lThWqwlzwLQ8QfOcjnBJo+vKpwPU627nhj9OeY3OcN/PLzrwgLDcPWrVuVzrt+5plnhIGe8jgT88Z9gTdGfyYEfSoDqd0GmD9EoGk4gg1voZ7+NYTln0f9nJNo8PQQGqXshqtNZoXraVO/uwjffPXV1/6v8MswDFM5SLX7s88+xZBO09A0uIPOHE4TUz3Uf7BJYznYsmR6OyNPr+JnLLXJ9HJSad3Wx34X7wRZBneeCompFaZMnqIwbVAXoHcSlbdkGIapsXWyGaamsWrVKvz++++YM3QxXOy0U/fcJlXBCL6RIQ7YFIaI37F+igaysx7dg5G/nhA/KwlpFDzTbCAaBrTGdzuWo2/fvnBycoKzs3Op/+lD4SgbNmwQxrivRxBeHbkCjQPbaUQ53MsqCa4HvoFeTlb57W6egHHXmYhIKVutlrz1o7rOwpIfZ2HTpk1CtZdhGEZdsrKyMGH8RPi4BKNXm5E6cyBJRTzs7q8weijvFdYUj93MlW4b5yGB123l102Dyb4Pd+KCdbGmiamxOab1exvLf34J7777LhYvXoyaCAniUpWNe/fuic/du3cL/75b+J3emQsWLsALL7wghO0YhmG0BedkKxlXz9Rczp49i7Zt2+KZpgMxtsfLWttO8/DvYBgbITctI9Qbb3UozHezyTPB++vS5ebLip+VN7p+9uYhPIy7i/TsZKRmJiE1IxFJqQlISnmC5NQk0c7DxQcD201By9BnhDGrifD3oMzTokaqKjzpNAG3M8tXbP/4t9eQkBWFmzdvcF16hmHU5q233saK5cuxcOoGUYZLFzAz00PozR/EQKu2ODDUH3/by7+PyqJvoje6bbyr8jYie7wqVzub+O/oj/h979eizNmAAQNQU0hMTMTcuXPx3XffFXnaDfQN4GTvCicbd9hbFf4flxSF/ef+QcOGDcXgfJs2bapsHynUnirx/Pfff3BwcKiy7TIMUz22Iw/jMTpNUlKSqIdNOWMjnpmpte1IJChlYBO3fYvD0pMMspDvYAv9+MSiaZb5iYhHsfiZImhkvXlIJ/FRRG5eLtKeJsPK3KZSZWpksbHKh//ln2EUo3on0P7g9zBqOQA3DBqjrMi7kV1nYt43heW8Xn5ZewMfDMPUXs6fP4/lH36IgR0m6YyBLTEH6l3boPB9oUnOWSUo3faMZTy6qbENtzM/Iy50hlw0Vt+2Y3Ev6hrGjR2HM2fPyFWWqS7+/PNPzHxhJlJT0zGs8wz4uAaLtCx7aycY6Jfu5nZq3A/f7/hIDM5PnjwZH374YZUYvVRbnVIfqAzc0KFDtb49hmGqF87JZnQW8gDTCzL+8RM8P2ABjAw1U1rExEQPtlb5cLPOgJ/kEUL1LiP47h8K2x5yku/opLnbyH03T3pQ6f0xNDCEjYW9xgxsH8snCNq/VC0DW4rVqX/QIGWf8IYrwt3RF52a9MOCDxYIDwPDMIyqYb/jx04Qz5J+7cfrxMGj90a9y+u0bmAX2FrhgVGq0u1jDNOR71R2mk9ZGCTEwFf/TqlB4WkD5sPS1A4DBwxCWlphTfHq4NGjR0L8kwxWT7tgLJv+M/q2G4v6fi3gZOum0MAm/N1D8f6ktZjYey42/roJQYFBWLt2rdbztTf+vkn8T4Y2wzC1HzaydYAtW7aIusqMPJ9//jk2b96MKX3eEi9UdaG05kCzCDR5/A9aXF6JJofeR/DuhfDatQJO+9bA6sRfMI4oLWKW6+6Iu8aFodxSHjvJG/qmD6/VmNNmRCq32SfgsudL6OfmVnp9ZlcPo8HDP0TuoSKGdJ6GzMysGpu7xzBMzWXp0mW4duOayANWt2oClXQmAS9nm2x4WiXDX/IILjaZYiBVU9D7gwZkGyfvEO8Nw3jly2WpS6qX6l7XZC/VjWzC9uhvsLSQ1xUxN5HgxWFLcf/efSGEVtUil7S9devWISSkHg7sPSS0WF4ctgx2VsoLvNGgdbfmg/HhC7+hvncbIZzaulUbET2hDW7fvo2r167Awswax4+xkc0wdQEOF9cBbty4gffeew8TJkyAm5v6xmRt4tSpUyL/qnfbUWWGWSuDoRFQL+UQJCf2q7xsdCB1WuS9tPdscuAv8528xUaBenI1R6sD6mgGXtoAw7jKe9ZlMQ6/gvoZKbjZYBJSSzg0yPveu/UYfPH5F5g1axZ8fMrP42YYhiGuXr2KhQsXok+bMaJagbLGrr/ZQ0jibsIwMQYG8VHQz35aqh0l79CTKMcjGOlejZBq6YWELAmelm5aoXK4u0E07C5ugeGT6Co9cdEuqg86RLjow1aNbenl5cIvZh8uWnSVm04RBtP6v40vNs1H6zatqywt6M6dO5g2dRoOHDyADo36YEyP2cJwVRdriR2mD3inKIS8VctW2LtvLzp06KDxkHYTY1P0bDUCW078KCI1jIyqr+QmwzDahz3ZOgDVUjY2MsEXX3xR3btSI0hISBCq1X7uIRje5flKidM0jPwDkkuqG9jEKbeMUtOuWsh7tgkbsxxUJzaWBQg6+YXGDWwptN6QU5+LXMSS9G4zChJTS7w17y2tbJthmNpFbm4uxo2dACcbNwzqNFnpKJ2GqfvhsH89zK4egVH0HYUGttwyD2/C5thGeO78CI0OfIDm9zeIsoUBpg/gbZUgvNMO1rnCi0u1rmVDwkNxEY2PLRGRTlVtYBPX7Ssup1iSK7byopyqQMeUjkdJWoV2Re82o8WA98GDB6FNKJT7008/Rf36DXDt8m28OfYzTB8wv1IGtiwh3o2FuF6ARwMMHDgI4eHh0CS//7YRjQLaItSnKTIzn+Ly5csaXT/DMDUP9mTrAKRg173VIKz6ehXeeustWFpaanT9pI5Ho8ONGzeGgYFm8n61GSY2adIkJD5JwoLJn6gdRkjCX4Fn14qcM7X2w8Icxy1KLxtunCLm6aUVd0gs8hLwGKrVKdUU1CEMPPY59NOTtbodg9RE+CadwBXj1nLTqezL4E7TsP63ZXjl1VfQvHlzre4HwzC6zScrP8GFi+fw7sTVMDYsFpYsC0sLIOj6jzCKVl09u+RgoSV9ypifb2iIAgs7GCTFoVrR18c5yWOVFztvFoexJsZAVrZam3U79wvigqeiZKbRiK7PIzzmphAgPX/hPNzd3aFpHjx4gAkTJuLAgf14ttVwDOsyA6bGZhrfDvUn5gxdgve/nYI+vfvixMnjGulvkar4hYvnMWvIQiHKZmBgiJMnT6Jp06Ya2W+GYWom7MnWEfp0GIW09HSsX79eoy+uObNfgrubhzB+nBxcMHHcZOzatUuEMtVEPvnkE/z777+Y2udtONi4qrUOyskLOvSx2gY2kRTsijw9xSHgme72ct/Nk7XjQa4Ie+s8BB75VOsGthSL8zvhaF36uunYuA88nHzx+utvVMl+MAyjm9y6dQvvvPMOnm05AoGeDSps72SdjXonPq20ga0MpGNR7QY2efrdHJCqr7qhTO+rTC/1B3sp19zXqLSgG4mLzRy8APm5+hg6ZCiys9Uz4ssaVP/555/RoH5DXD5/DW+O/Rzjnn1ZKwa2FEtza7wyYgXC70dg1MhRReXAKsNff/0lohEbBbSBsZEpvJ0DcOI452UzTG2HjWwdwdHWBW3qd8PKlZ9U2gA+d+4chg8ZCT9fP6xf9y2eaTII88Z9gdb1emDblp149tln4WDniJHDxuCff/5BZqbqoWnagBQ533jjDfTrMBZNg9XLl/KxfAzvXcuhn1U69E0VrnqVLZzzxFm+A2AaWVo0TdtQmKP/oU+g/1R5BVpN4HX1D5EbWbITNrDDZOzfv09cewzDMIrCgSeMmwgbiSOGPTNdqWe5754Pq2wQsaaQ6KF+eHSch6RS27Y98hOsLAsU5jXPHrwYZ8+exfjx4xEXF6eRtLARI0Zg7NixaODTGkum/yhUw6sCyjefOWgBtm/fjnkaSHWiUPEGfq1gZlJ4/P3cQnGcjWyGqfWwka1D9Go1GpGRD/DHH4rLSVU0IkwvjI7tOqNZs2Y4sO8QRnefg89f+hsjur6AMN/mGN19NlbO/gOLpn2HLk0G4fCBYxg4cCDs7RwwavgYREdXfe6ZlCdPnog87CDv+hjSseIOWEnI8AsxuA6XPV9Dr7JKqPr62Gtfthc80k5+/Uax4XI5fdrGyToHfgdWQj9T/Rw8dTGKugVvi9KhjC3qdYaTnTuWL19e5fvEMEzNZ9OmTThx6jim9H0TJkamZbbT14coqyie5VouuVQTCXdS/11yyzG30t78gJsboSirLMAjDNP6z8eWf7fBz89fCNelp6v3Dtq5cyfCQsOwfetOEWL9/KD3hbZHVdIosA1GdpuFFSuWi/rW6vLw4UOcPnMKLep1KZoW4FEft+/c4vKWDFPLYSNbh/B2CUTDgFZYvnyFSiUzKPcnJCgUvXv3RlR4nHhpfTRro8htopzZkjUwKWdoWJfpWP7Cr/jw+V/Rp/VYbN+2A/VCQvHjDz9WebkO4eGYMAGpyWmY3vd9UTdaVULzzguRG02Q6e+GRIOyvfs3rEp7j63NNBdCVx5UqsZ3/0cViv5oE8djP5Yq60Xe7J4tR4gBIk0LyjAMo9vQM/6D9xeigX8rhPo2K1fRu2HCdlFWsa5y2Ub96KRTlo8B48opWhtH3kAQriuc17Z+D3w0cxM6NuiHhQsWwt/PH6tXrxZidsp6r6kSRc+ePeFo4Y0lz/2I1mHdUF30aj1SpDtNmTIVx48fVztUnPosTYLaFU3zdw8rqpLCMEzthY1sHfRmX7hwHvv3K6eITWFbAwcMQk46MH/CKnwwZb14aZHRowzujj4Y0GEilj3/C+p7t8L4CePRv+8AxMSon8+sCk+fPhUhY9u2bcPUPvNhb+2s8jqoPqrl6X81tk/3/csPubtmkgAYyR9fy7wEaBvKNffeuwJ6OVVj0JeFQUYqfLMulpresXFfmJtYYOXKldWyXwzD1Ey2bNmC6zeuYkD7ieW2qxe7HaY367BhYmqCK6aqi55JiTPMwI5BHqTwVandsD62Ea42T8vMaR7TYw6Wv/A7ApwbY8aMGcIrvXnzZrkBevr77t27+OGHHzB9+nSEhobB3t4e69aux4Rer+L10Z+oVPdaG5DTYVLv1+HrUg/9+g4QOjaqsvH3TQjzbSnniXex84SFuZVwgDAMU3thI1vHoJwkH9cgpcJuyTswZvQYZKRl4pWRy0WJCnppqAO9OF8Y/AFeHL4Uhw8eFV7tX375RatebTLkO3fujC1btuLlEcvQOLCtWvWh3Q6s0uh+HXGWr41dkhz9fOS4OshNs4i/DW1Bp1Tkmu/5WITz1QSsTv4tlM1lIbGars0GY9269cJjwTAMQ+8Q8mIHezUW76iy8LROgemNum2UnOrpjfxKZh7tsInEnsE+hXH3lcDz6BqYm5e9M442riLMm9LPTAtsMXjwYLRt2w4ffvghhgwZAhcXFwQEBIgote3/7oWLWaCoV73ihd/RvcVQtfsqmsbI0BgvDl8CvXwD9OnVT6UQeOrDHDt+FC1Di0PFCfptlJfN4mcMU7thI1vHoIdzz1ajRM7SlStXym27bNky7N23F88PfA+2lo4a2X6LkM5Y9vzPCPFojjFjxmDQwMGIjY2FpqHf1qpVK9y/G4H5475G06COKq/D0BAIuPYr9HKyNLZf+U52uGpasYGY7CqfP2Z+cS8apewWNVc1CZWvafRkW2F+Yl7NMLAJynv3ub+l1PTuLYciNycX33zzTbXsF8MwNYs9e/bg3PkzGNB+QpltTEz04HLiB9Rl7nUNxi/O9zSyri22ETg0yK9ShrZ+WhKCoreVErosCaWfvT76U1HXOi4yEe++8x5unA9Hq8CeeHXkR/hm7g4sfe4nkYvfoVHvavdeK4KE3V4dsUKUOh09cozSzgXy3uvp6aNpUGmhVn+3MOHJrur0O4Zhqg42snUQCve2t3bCRx99VGabw4cPi1Io/dtNEHlumsTS3AazhizAnGFLsH/vQdSrp1mv9o4dO9C2bVuYGEgwf+xq+LiGqLWe4JxzMIrWrAc5Nli5wYpo+9I9D7PrxxB6YAmCTO7BsHJpcaJj42cRg9BDS2F6+zRqIiZ3zsPDOqVUZ6V9w1747NPPaoxqPcMw1Qd5sf3c6pX7nvLLuQyDlCeoqzxpGYDPAzRbpuwvh3AcH+BfKUObQvf9TR8q1ba+X0ssmLIB697ch7fGfSXqa1OesoWZ+mrppfbHVA/elgnwtXgMP4tY8Y70N3+EAPMo+Js9RIBZJNxt1BNj83QOwPOD3sO/W/7B5599rnSoeKhPMxEJWJIA9zAkJCaIkHmGYWonbGTrICSi0aPFcGHYRkVFlZr/+PFjjBg+EoEeDTG48xSt7UfLel2wbMbPCHRtLLzajRs1FgqxFKauLl9//TX69OmDMP+meH34F2rlYBflYZ/6D5rmnLty+c63y8hXI2+z3aEf0eTaarhZq/eypxD4xnH/wGnv6mrPv64I11M/w8hIfsChd5vReBz/GD/99FO17RfDMNXPkSNHcPTYYfRvP6HM8GB76zxYH/8TdZWnIV5Y1kj1XGBl+N3pPs70DSgctVUT+0MbRMlIZdHX03y3kyIdAk3C0fDEcrju+QLOe7+G095vxDvScf8aOOxfB8cD6+Fw4Ft47vwI9bNPiGVUpVlwRyEYO/f113Hp0qVy28bHx+PwkUOisoYi/NxDxf+cl80wtRc2snWULs0GwsjQBJ9/Lj+iSgbu2DHjkJ6agZmDP1Ba4ExdrCS2mDN0MeZP+BoFGaaizFZYWH38/PPPSiuKEnl5eXjppZcwc+ZM9Os8Ci/0XVxUU7Im5GELTE1wyFK5MmaXzJ+U23ExSIiB166PVAohJ4cDjcaH7F8Ck3sXoAsYJMXBV++O3DRXey80C+4gVPIrMyDDMIzue7E9HP3QNLh0OC1Bj1Dvm3VXSTzX3Qkftn8idD60xU+u93CxT5Day1MZNZ+zG6q0TKUUGsCld2Kj0x/D/tD30M/KUGo5i/M70fDyKlGNQ1Wo5KmrnReGDR0hhFnL4p9//kFBfgGaB3dSOJ+8264OXjhx4oTK+8AwjG7ARraOYm4iQefG/bFq1TdISSkOySVBtF27d2L6gHerNLcpxLsJ3hjzGd6fvBbmsMfYsWNRr149fPvtt8jJyVG4THJyMi5cuCBKXPTv3x9ffPEFpg1+A8Paz4K+vnrqp9rIw5aSEuyGLP08pdomG2Qj38GmwnbSEPJg4ztC2Kfwkyw88dKPl1USvK0S0Th6kxiNr0m518pge+w3kTsuS+82Y3D79i2hKswwTN3j7Nmz2LN3F/p3mFCmd9NH8hjGEddQFymwtcIXPXKRZKD5d1lJNrjfxbVewWovb/gkGsGpRzW6T+VuzxDwlcSg8cXPxDtR/6nqZc0MEmPhu3MpQgxvKKz7XRbGhiaYOXgBwu/fx8svvVJmu99/34hgr0awtrArs42fayiOH2Mjm2FqK3oFdVx1gQxUa2trYfBZWVmhpvLPp+eRlij/sn2SEodXvhiC5cs/xCuvvIKjR4+iU6dO6N16jMh3qk7uP7qJrSe+x4nL++Ht7Y1p06YhNTUV9+7dw/3798X/sgrT9nYOeK7ffIR5Vy5/PKzgnFbCxInTAwLxs8t9pdsvOOkFqwuaEarRdZ6GdcBFi2fkpi34bjocPSxx5OiRatsvhmGqh4H9B+HE0TNY8cJvCgdVSbm6/vEV0M9UL61GpzEzwfdD7XDeXP1yXeow854/AnffVHv5R91mIyK1bKOyslA0l5fkCRzPbBRRUpoix80f98JGIzFFeb/TnjN/4bttK4THmpwEsiQmJsLZyRmjus1Gj5bDSv0GaQDX7tN/4JfdnyMlNQWmpqaa+TEMw9QY21G7scSMxrCR5CCtROUoeysntAnrhpUrP8Ho0aMxfNgIBLjXx9Au06r9yPu6BmPWoCUY0O4udpz5CQsWLISTgzNcnTzgau+LBl3awU7iAhtTZzhYuQrxk8qW7BB52Lu1Y2BT3OI+e9Ve6nGORqi5wzZVi9nVw3Ds0QGPk4sV33q1HoXPNs4T4XKtW7eu1v1jGKbquHr1Kv75729M7TevzKgl/6RjddPA1tfH1gFuOG8eWeWb/srvLua3CoDDSfkUH2VxObgaOV1eRHSyucb3zck6G55X/tC4mClhFH0XQbFL8aTjRNx96g5lXE9dmw3CpTsnMGH8JFy9dhlubm5F8/777z/k5OYozMf2lCQUDUT4u4eJdufPn0ebNm00+6MYhql2OFxcR3CNPq5wOoXdRkU9RKuWrZCanIYXBi/Qeh62Kng6+WNa7/ew/o39WDb1d7zY/2OMaPcKuoaNRBOfzvB1qSfUyitrYFc2DzvXywXp9X2QGeSJbF83kQuX72SPAhtLFJibIdvPDY+MVOvw3VMj36s24xZ5UO57s6AOIidtxYoV1bZPDMNUPYsWLhaillRpQBEuNlmQnN+FusjpvgHYbV31BraUlQ0fItdDvVQzEuL02rUCDbKOwcxMM/sjkUCsz2/XUq0Y2FIoDYsE0kJzzyrXXk8P0/q/BeTrY8yosXL6Ips2bkKgZ4NSpVPptzjcKL6uvZwDYGxkwuJnDFNLqTnWGFMuphEXYRfWAgklwpnoIU2lTy7fPYnXRn0svNs1kcoa0drMw47uEIyP691Dnl55w9eq1wK/YpGEHmrtUe3E7PpR2HbvgsSUQs8VebB6thqJ7zYX1h8NCAio7l1kGEbLUMmijZt+x9geL8HQoHQtQ8qP9Tj/S508D/Qu+tm1eks6ZejnYn1XYPrvJkCmeu9UyYXdqG9+ArHtJ+NBcsXaJIqg68DXOBL2h3+q0ioalme2wKebD8JT7Stua26DGQPewbKfXsTHH6/E3LmviTDSXbt3Y1jn6aXaO+vFwjDqFox89JCTUyCuf6ojfuL4CeAlLf0ghmF0x8im+ssHDx4UYlYtWrRA3759FbajsgTbt28XxtXQoUMRFhZWKmflxx9/REREBAIDAzF+/HiYm5trpU1twS3hLBIMW5SaPqXvm4iMvYPGgW1RFwnKuaDeCLeRIU728cWvztrp1DwwTkWBhQR6aXUw5LEMPOJOItG0+Drt0LAX/jq4FitXrhTl2xiGqbnltiZMmIAzZ87A1tZW7fUsWbREGCedm/RTON/PKAKGcdopWVWTyfF2xaf1wlETuG6agCO9fdD+L/XCxgmDjFS47foMdiGtccftWajyGnSzzoDb+V9g+Lh0idKqwHn/N0h55k0k/H9AuKL6333ajMFbb72Frl2fwc2bN5GdnYUWIaVDxW3uHiUhJFib5yA+2bBY/Oy44khFhmHqULj4s88+i/nz5yMzM1N8f+6559CvX79SZXhefvll9OjRA2lpaULMYdKkSThw4EDR/NjYWDRt2lTUVLaxscGaNWtETia113Sb2oTk/A4oGj9wsHZBk6D2qIuQGrfVqX/UUm79bYQLfnVWXshMHTLdtScCo4tILu6GlWVxxICxkSm6NR+KDd9uEPXdtUVWVpYQ22MYRj127twp7qHK1LePjIzEDz/9KPQY6N4vCZUztDui/vp1FjMTrO2Si2w95apXVAV/OIYjtq36pb2kmN44gbDDy+BnEaOwqqWhUWG6l6v1U/haxKFx8i4Rcl5dBrY0dNz/7DqYmioXgTfsmemiFB2V9fr+ux/g5xYKBxtXuTYWEsA4/LL42yrvSdH0AI8wPIiMEP1ZhmHqsJFNuZPkxV60aBE++OAD7Nu3T5TgIY+1FDJ4qRTTnj178NFHH+GNN94QqtfkZZZCy5PxTW3eeecd7N+/HzExMXI1nzXVpjZB9Sg98jRrFJLSpYtNJvwsYpV+odQUqEPmenC1ystl+7tjxWB9nJDEQNs8ca6dURWVwTNZvsZ3t+aDhdDMV199pbVt0rOoSZMmZZaTYximfE6fPi3+p8FsdYuSLP9wBUyMzIRolCJ8nhzXuRKFmuBoTy/cMimhbFoDWBkWITzslYVSuZz2rkaTR3/AXxKNUFxC4+QdaHFzFZof+QD19iyA967lcN67CqY3aoZX1yAhBiGxOxUODJSEwr5fGPQBoh4+xM5dOxQKnjnhUdHf5gnF/bgA97Ci6E+GqQvk1KF+mEpGdsOGDeW+k+FsbGwsDFspFPLZs2dPEUouxcjICO7u7kXfqeTBsGHDYGJiIr6TDDp5xGm6ptvUNmzO/iNykCuLnVWeqA/Z7Mrn8Nn5IZz2foNGRxYhLPcM7K1rfieH8rUCb22EflaGSsvFtw7E/K7xiDasmmiHB/byUR4MYHFumxCAkUKhox0b9cXnn30uyrxpg7///kfkypGKK8MwqkFG9ZnTZ0T1iitXruDUqVMqH8K4uDisXbsWz7YcDjMTmQfA/7G0AMwv7qlzpya+VSA2OWk3okpdsvTzsPqZHMBcMypmxhFX4bhvLaxObobpjZMaLcOlDcjgDzRW7ty4OXhjfK9XYWpsjlah8uUqCZu7xaUqzSIuFv1tb+0CG0t7NrKZWk1ubi7+/vtvYR+SzRYSEiKioSky6sGD2pseVCl1cTo4dODaty8OVT579qz4vm3bNsydO1d4vylHRTZsk0LGfH195dbl5+eH27dva7SNImg56mzLfnQJ/fRkuJsX15dWBTJsAsyj0CziRwTtXgSbo7/DILV49Jw8CJZntyJw12I0jf4dXlYJMDKqmd7t4PxLMI68ofwC+vq40DcIixrdr9KQvBuW2jEadRm6zjyz5M9d37ZjRZrHl19+qfHtURj62bNnivJKGYZRDeoEPUl4gn7tx8HR1hXr1q1T+RBSqUk96KNHy6EK53ukXxX5qnWJPDdHfNLwIWoyd4yTsK93cXmquobdoR/galOYIlkRnRr3xdevbYOTbbFTSTqAZBxxTc5LLlVfJ90if7cwHD9WMzz4DKNJHj58iPfffx8+Pj4YNGgQYqPjMX3k6wj1bYYDew9h3Lhx8Pb2FvNJU4veLbdu3VI7WqrWGNkXLlzArFmzMG/ePAQHB4tpdFDIE/XDDz8I49rBwUGMejdq1AibN28WbZ4+fSr+t7S0lFsfFfPOyMjQaBtFLF26VHi8pR9PT0/oGg6Xt6rUngxlynNqsO8DUaLCKKbi3FQyYN12f4EmZ1YIj7es57G6cbdOg9WJwutJWY4M9MN37lWfk3vV9IkQWGPksT61WS49gcr5dGzcDytWfKRxb/auXbvEs8nNwQdHjhzlU8EwKkJiZwTlmnZo2Ae//PKrSvdpcnIyvvryKzzTbCAszKxLzadngdXZf+vWeTE2wvfdDJGuX/NDJ/+1j0BUx8rnZ+sqnoe+FoayMhgbFkZWyuKcXzq/3Nqk2HD3dw/F6TNnkJdXc3LyGUZdSKdrx44dGDhwoDCgP/74Y7Rp0gXL5/yE1wZ9ifaBAzGk5Wy8N/Y7rHptO14avgyNfNrj1NFzmD59urApKR25NqBW7//q1atC2GzUqFFYuHBh0XQakbOwsIC+vr7IkzagmF4KjTEzw+uvvy5GMSQSiWiXlJRUSiWcDGRCU20UQYMCr7zyStF38mTrmqFNRrJLo0zEJJUWjikJ5ROFpBxUO89JPzNdeLytzCwR2fEFPFJim9qEXnTuh75RaZmEFgFCxKU6oLJgOW6OMIoozsdiCuupeuI+bsOn6HD0bzceB8//J3Kz33zzTY0dJtKM8HENRCP/djhyeKswuLVZUo5haqORbW/jBFtLB+Gt+/vwt/jtt98wbdo0pZanNDISTO3VeqTC+Z564VVapqkmcP5ZP1wyq95yXarwaXA4Fke5w/hu9QmSVRf6T1NFetolr+HIVSObzvrWoVLTLLNiEQNv8be/exjS0lJx48aNUpV4GEaXIMfqgAEDhEhmWGgDvDz5PdRzaAdTY8WeOkoXbB7SSXyIjKx0ZFpGChHrOunJvnbtGp555hlxEFevXl2qs1q/fn2Ruy01sAkSHKISW9S5pfxsyuW+fv263HL0PTQ0VPytqTaKoFwAMsJlP7qIS0Tph7YiAkzCIbm0XyMvGe+dHyLQNFwpIRCt5WHf+UMY/sqS72CLzxpFozpJdqlBYQA1CNtTf8HIWN6b3amJZr3ZYkR1+w408GuNIM+GeBz/WNTpZRhGNdEzH5eQovu0oX9rrFm9RqllKeps5UefoEOj3rC1dCw1nzRGbM/8XadOR0oTP3zvplvPoRz9fHzV8SkKrJR06dYyjCOvIzjrrMrLUTUNo6hbpaabPy4uj+bnVk/0pU+cOFHp/WSY6uLJkyfo378/jA1NsfL1H/HmkNVo4tajTANbEeYmErRr0UU4UuuckU2jbGRg00EkhVFF3qDRo0cLNfH09GJDaPfu3WjcuHFR+xEjRuD3339HQkJhbjEZ4KRSTtOlaKpNbYU80zYypZAU4WaTAfuD32t0u7S+hql7YWJS9ZZ2UME1IZyiNPr6+OtZCyQbVK+HJMqhUtIHtRYauPEylB8AIW92SnKKxpTGyQNHuaSNAtoiwLO+eAbR84lhGOWgwfGzZ8/B9/9GNtG5SX+cOXsGFy8WCziVxYYNG5CQ+EToLijCwywe+mnyEWm1GRr4XdlMN8s1RRin4KcBVoBZ9Ua0VReWZ7bAy0o1FXinXMWef5N7xfcOCQF6OvtVifgZDWDXlnxXpuZA+lxkeyUlJWNGr0VwMg3giEF16mST8UyK4rNnzxY52fQhkTMpM2bMEAZ1gwYNMHnyZLRq1QrHjh3DN98Uh/hSWS8vLy80a9YMY8aMQZs2bdCpUydMnTpV421qM26pl8qcR3UnPfZrXkSKMLt6BA2ur4WtVX6V5mFbH9+k0jLhnQNxxKL6w7RvWxfqBzClsTv7p5xavvBmN+4rvNmaqHdPoeISM0sEetaHxNQSns7+LH7GMCpw//59JCUlwtet2MhuHNgOtlYOQi28oo7XsqUfomVoVzjbeZSaT+PuDhfrUC62gQE29pQgySALuspZ8zhsHuQscsrrIi6H16ukUWN960CZg8yyed5+riR+pllPNr1DqewuaSRRJR7qL1P0ZsuWLfHrr7/WqVJKjHahlOADBw5g9uBFcLCufNm/2oJKOdmUz0wvzZKQwJkUCuOmElqHDx8WquJDhgxB586d5Vz/9DfNp7xtUi2lvC4yjmU945pqU5uxOLsFpu0aIzNTflSSvMyBlzZAP1t7xp3h4ygEHfgQ0Z1fQGRKaSEbTeJr+RhOu1eptEyOjyu+8q8ZZVEumz/BULomefS4FAYpT4QnKzy1+BnSr/14HLywRXizaSCtMmzbug1hvs1hoF/4qAv0aIjDh1hhnGFUFT3zdS02sg0NDNG+QW/8+MNPWL58OczNzRUuS3nbkQ8fYEbvRQrnu1mnw/BxZN04GXp6ON7fDyckNeO9VBkOWkbBYoAXuv8ZTjk5qEtQulrAo924aNW9wrbk7DCKLjstwNogDamwKMrLPrRtizCMSdtIHWjZTZs2iWgtKrNH+kmUMmVuZo5g/wZoVa8bejV3xfl7B0XUKRlG5DCjvrOtra1a22QYErv+5JNP8NyQ1xHk3oQPiAx6BXU8boSEz0hlnNRPa3J+9oPJk5ETXdorG995Mu48LRZuI1uuUdIutYXO1CGlzRDc0KuPfA0LY+rrAyG4Aqvjf6q2oIkxVo+0wXVT9UqdaYOVm62hH/ekunejRpLr4I5zgVPl+mobti7H+fuHEBERrnaHIz4+Hk5OTpjad57I9SaV/QPndmDV5vfFPHt7e839CIappVBH/Lv1P+GTWX/JTY9NeIhXvxyG77//XpReKQl17sNC68MkzxZzR3+scN1NY/+Ccfhl1AXO9wvWuTzsihgV64tW/9ypMQPIBZYS5DjZwPj+I60b/4+6z0ZEil25bQLNImB/4Lsy5ye1G4kbuYXVeSJj72De6nHYv3+/cEypQnh4uCh/SeWPKBzczzNI5Hl7O4SIigBujj5FA81SHsTeweEbm7H3+BbhHJs0aRJefPFFBAQEqLRtpm5Deh0dOnRA55a9MbbzXI04Oeu1c0XTHoWigLpuO3KyqI5je/ZvIQgmJdjgZpUa2AQZwU0e/AYHazVkN8uAvPENE3eqbmBTZ6aHT40ysIk0d+16+3UZw/gouFvK16snbzY9xCqTmy0t3dUwoLUISXc3jRPiZwSlsDAMUzGnT5+Bj3OhISALhX9TlEhZAmikj3Lj5nX0b1/aACccrXPqjIF9rVftM7CJX53v42qv6i3tVWBnjegOQdg82huvjcrG691i8cFkcxwaEoAnLQK0JtTmfPjbCsPGra+XLzprGnOj6G93R1+YmZgrnZdN7zaK5KRoUX9/f6xZvQ6dGvTHJ7P/wvsTNmB899fRqUl/eDoHlDKwCS/nAIzpNBcrZ/2FgV3G4Zeff0VQUJAouxQZWUeiS5hKERMTI6pGBfrUw8gOL9WZKGJV4AK+Oo5BagLcJMkiZNvTOhk2u36rlv0wengTAQ8Xw7llP9w1a1YqhF0VKE8p6OoPStXzLklaA19871b19bArItbBCDU3TgLI9nVDvIcFTLLyYSQ+uTDIzBEf/cws6D3NArK0JyDndGULHnqNLnKIOFi7oGOjPli+fAVmzpyplje7sHRXkFA0trfIgmXMTThYt4O9tZPIy+7Xr5/mfwjD1CLIG3327Fn0ajFa4XwSQPvqr3dFVY969erJGQCLFi5GsFcj8VGEa3TdECC80z0Ea7yKlaRrG2s97+LlZ4Lhve9mlW0z39kekaH2OOaejpPmMYCefMWRRINM/OUQjr8oC6lJAVpkuKN1rAU876TCOCJGI15uChsPjN6FC9Y9FM4nzRrD2Ihy12ESfgUGzgNA5bH19Q3g61YPx4+Xn5edlZUlBH8//eRTnL9wHp4uvpjQ81W0a9gLpsZmKv8OGwt79Go6AV0bjMDZe/vwx/51QtyYBqKp/C7DlHUd0gBPTlYupg9fACNDY6WcZ+6G0bC5fQi5du5It/NDqpEDkrNMkFUJm6Emw0Z2LcDp2jZkhA2H6z7tCJ2pguWp/9DA/AAet52AiDR7laPInKyz4X3kSxhkqF7CiUasv2xZszzYUq45ZCIQNY98J3sc7mCDzQ7UGYgrt+3EqGA03nZbK2F4RtG34dYgHVFJEjml8UMXt4oauxSyqk7prjYhvcR32/QImN09C72w9ghwb4DDhzkvm2Eq4s6dO0hNTYGva7EBLQvVNrWU2GD9+vX46KOPiqaT2NLpM6fw2qiPy8xVNT95UGMnoMDGCndaumKzZyzcsySonyiBV2w+rB8kQD+u+t4JkZ2D8aVf7TWwpXwSeBdvPQ2C0/HSpao0hr4+njT3wz8h6bhk9piKY/5/RgXeMz09nJbE4rRfLOAHdE/2Rp8/HgC5lc9vo6hB727NEZFaOmzcMat8A1vsWl4urCR5SEwpDEf0dwvFieOFEVikf0Sig7du3ZL7XLhwEYmJCWgc1Aavj/4E9f1bQl+v8kGpxkamaBPcG27WAVjw/XQ8//zzojIAeyeZktD1Sbn8pNfx1rivFZZmLPm8d0+/CsvjW6CXUyj6aBx5A+bYC+mSuU5eeOrVABk23rDQq8kuKdVgI7sWQDUY/eNXQl+BKF11QAayy54vYecdhvCgQUj4/wukIrwtE+Cyd5V48ajDrl6OiDGsmWFO+62iENA7GGHbqm60v6LctUsd3fGTWzhy9KWdlfL5zv0ueg7zRs9/ooFMzavjulzejGivscXebBtXdGzUV3izX3jhBZW82eR9i38Sj0YBbcR3yZ2TokyQlUWB8Kz9tvdLZGZmwtS0bpaiYRhl7yPC1610uDhB3ot29Xviuw3fYfHixTAxMRHTFy9aDG+XwKL7ryTuKRWX/lKGXE9nnGlmib+cIpGtVxiOHW2YhtM0Vkdi5s2ohJIVmqfYI+iJMVwj02Fy+yGqgkftg/BxcO0LES+LZQ3u4f1MP1id13AkmZ4ekpr44feGqbhuEl7p1e22joRkoA86/3VfIwPGzke+RXzb1yBTtVZgVUGoeFG7gmQkotBID/Coj/+O/gh//wA8eBCBPHJxkzFvYgZXBy842XigU/0BaFO/B9wdfaANvF2CMKXvm/j6+/dFdSAythlGFqoWRZUlnh/yDgLcwxQeHIocd7bOhPODwzA7WXF6nmHcA1jSh6IrbIcCCK0VB52N7FqCflYGahpU0zoo4ipSWg9ChHlDMd5saJAPQz365MKwIBcG+dkwzM+CWfJDWOwpLgWnKnFtg7DdpuaFiZcMq5vaOxj1q9PQNjZGRHtffOsXiWQD1Y/XDptIxA5zxPgtGdBLVM44VxZSYXWvn4qHyfSYLaR/u3E4dHGLyt5sChU3N7NAgEcDkTcnTT2w0U9GoGdDZOdkCwOiXbt2Gv0NDFObIE+Fs707LMzK1pTo0nQAdpz8TVQVGT58uLiv9uzdg5mDFyj0gpmZ6cHy8Fb1d0pPD2n1fbA3LB/7rakGcfmCknGGGdhmRx9SogKat3ZH/0smsLp0X2uCXfGtAvFhKBnYdSdHMV8PWNQiCs/bBcPnZCT00irfJ0lt6Is/G2figlnFXmFV+Ns+Aub9A9Dyn9uVvgYUhY3bWuUprZovSX4A6Bca2aRx0KFRH1iYWaFz6FC42nnBxd5TeAqr0qPcNuxZhMdcF0JoVJKXyuMyDEHP9zlz5qBvp1FoF9Zb4UHxsE6Dy8U/KkyXqAuwkc1oHasTm9EAm7W2/nx7G3wZRp2tms+66jK09fUR38If34XF46FR5bwr580f4/EgS7y02xmGkbHQJC4X/0S038QiB0OhN7uPyt7sbdu2ob5vC1FqyN4gsWi6RVI4vJzrC4EZystmI7vmQKUYQ0JC4OFRup4yU7NEz2Qhj1qwV0OsXr1GGNlLliwVomgtQ7sobO+Zf0ftaKWUxn74tVEarpuqH7F0xjwWZ1oDDRu5YPAVc9hc0IxHU0pSM38saXS/0JVTx8jWy8NnAXch8TPCiOhg1D8ZB/344uevsqSHeuPvprk4LdFeZNovzvdg1jsIDbbe1EzYePfmRWrjjpnKe9zNHl4GvBoXrsfYHNMHzEdNYHjnmQiPvYmhQ4fi3LlzcHZ2ru5dYmpAmPjcuXOFDsDQ9i8obONskwn3XSupdBUYVhdnagG7utkiRV/z4cvaNLQv9ym/46rpvOs/RrljUeP7eGikeq67Img9C3qmIT1MsyFrNPLpYZEkN41ys5OSkrBqlXK10p88eSJqhDb0by2+Wz8uVnA1Dz8nlFapJikZ2UzNICcnBwP6DxA1l5maAYWqUudaNh/b1FSx4Ugqxvv27cWOHTuwefNf6N1mtEJFYyqjZ3NKvQHXzCBPLGzxUGOVIyiv9/0WEVg9zgFPWgYU1oysBAUWEpGDvbDZA+HVrcuk6+fgW4+7mDs4Tah853i7ltu+wMIcT+t540GXYGwc44m3O0SJPGpts97jLu5208y72PnQ+iK1catr+5RezujRPRgb17wLxtDACM/3W4CspzkYMWKEyBFn6jZUsYVKzA1qN004MBSJFnsf+poNbBm4hBej0yQ2DxAhzLoGvdy1bmjr6SGmXRDeGZCBIxala6xXFhrYeLddFGLbaraEi9P5P6Avk8ZP3uzOTfphyeIlePDggfKlu/xbi36z2Y1iFWMK4aNw1SDPRjh65KgQSGOqHzLmMp5m4MRx5crXMNqHRJbS09Pg6xZSNM0//YzCtq1Cu0JiZolhw4bB2sIOHRopDiP0NIkR4bWqku9gg5UdkpGjr/n7lYz2hU3C8eUEO/Eso20pjZ4eMup5C0PyjdG5Igc7T489OFLoWJDK99yej0WJrfT6PkKgNCPUGxHPBOPAUH98PskeL4/JxryOUVgZdBfHtPCuKo8v/O8iumOwRlL2AqN3wt46F4ZPolVa1tpMe5U7KgOFqT/ff4F4V77xxhvVvTtMNUJ9pTfffBOh/k3QJKh9qfk0UBR09UfoP9WMI6e2wEY2o7OQeNeqRuUrYtd0Q/uSlgxtqh26ZYQ3ltW/J7wK2uxELW1wD9d6BmssPJLqZnuay3urhneZASMDU4wdO7ZIDKbc0l1uQbCzcoKtZW6pTr2tcTqCPBsgMSkRN2/WDCG6ug7VeyUuXryA7Oya2eGsi/nYhI9rcJEX2uLsVlGaqCQmpEwc1h1paWno2WokjA0LBdBkoQEvuwv/qr4jJsb4obeZyK3WJneMk8Sz7JUhafh0sj2ODgoUWh957k6lnm30fL3XNRifT7TDWx2jhCFJodJM2Ry0jMLb7R7i5VGZeKtDlFAkp9zoe8aa1fZQh+Uhd0QefWUxvXECvud/UHk5y9x41FRCvBtjdI/ZWLlyJX77rXpKxDLVD5WNu3DhAoZ2mF5KH4C+1kvYp1bZ3doOG9mMznKsm5vWO17ahkLqLvbVrKGd0CIACwbnYY911ajoEmu87yK2jeaKlDmd3QgDGW+2xMwK0/u9i6NHj2LJkiXljrZu374DDXxbie922aVz9a0yHopwcSp7Qutjqp9Dhw7BwtxaCNJdunSpuneH+b+R7eboBYlpoRChlXmOCAN0Tbmi8PiQcd0suCO6NhukcL6rZbrKHj7iYD8vXBAlm6qOcKNkbHK6jyUN7uHVvglYNMUCe4b7I/yZYGwf4YtXh6bj84C7NcJAZDSAnh6WNgpHShO/Sq9KWcEzWSRP7qMm0735MHRo3BNTpkzBlSuK73+m9kID3/Pnz0fL+p0Q5NWo1PxA47swu3qoWvatpsNGNqOTUNgZdYJqAxvc7+Jc/yDA3KxS66EwvH1D/bGgaTgSDTJR1Xwd+hAFtmWrEKuCQWIsvEp0rEO8m2BA+wn44IMPcOzYsTLDjuPjHxeVDrIMLyxBJIt55CWYmUjg7RrEedk1ABoYOXL4CDo37i/yvCifnqkZRra3jOiZZX6hVoLluW0Kc0hJBfnlER+Ke0sRTnf2qLwP97sGY7N95cs2VZZ4g6fYYhuBTwPvYqdNZJ3Pua6NUFQWqaNT7n9VYxpxHjUZ8lxO6Pk6nGzdMXjwYCQn8+BSXWLNmjUIDw/H4PbPKVQStzv0U7Xsly7ARjaje5iZYE2LFNQmfnC9h7fGFOD4oEBkBaimrpzn4iAEdz4cZoB/7auvZEKyQTb2dnfQ2PocTv8OQyP5aQM7TkagZ32MHjVaiKEpChWX/L90F4k0GYdfLtXG6ME1Efoa6NEAhw+x+Fl1c+PGDRG6X9+vuaitzEZ29UMiRxfOX4Cva3E+tnlKYWSMXk4W3E1US9OhPFWTexdULt/0mf8dlZZhmMpAIf/fts0k1a8qPZAGSfEwN0eNxtTYDLMHLUF01CPh1WTqBqmpqVi4cCE6Nu4NDyf5SA9KHXLf/0W17ZsuwEY2o3Nc6OqNCOPaZWQTGfq5+N3pPt7oGoPVE53wsFOwyDsvhb6+GG2/2jsYX090xKsDkoTgToyh6oJCmoa8PZoIuSMMUp7Ay1heBIcUi6f3fw9P4hMwY8YMIXBWsnRXmLR0l4liAQ4KebU1z0KQZ0Pcu38XsbHaV7Flys/H1tc3QIBHffi41mPxsxoy8EFCdLJGtlnU9aK/7S5vU2l9bo9Pq9Q+190JK1rF1ckyWEz1csskEREd/Kt8u9ZGNT/1jUrz9Wk9FqtXr8b9+7UjkpApH8rFT0pMwsAOU+SmkxMj4Oxa6OWwhkp5sJHN6BRZgR74zq1ydZ51gesmCfgo5C7eGJWLg0MDkBHmjaRmATgyOAAfTDbHm10eYa3nXdEhqGl80zQBBZLKhb5LcTi1UXidZXG0ccXEXq8LIY7vvvtOrnTXyZMni0p32STeLnO9VtmxwsgmOC+7ejl86DB8XINEjVh/t1Dcun0TKSm1bxBN10LFKUTU+/+iZ4aGgGF08f1kFBsOJ2vlOldU1sj8wm6lt03lnFZ3z9epsoxM7WJNQKQQt6tKLDJ1Y7C3R8vhsDCzwvvvv1/du8Jombi4OHz00Ufo1nwIHKxdiqZT9Zd6Uf/BICGGz0EFsJHN6A5GhviubXad8m5Q+BrlJL7VPgrvNw/HH47Vk2+tCtGGaTjbVTN5bfppSfA2Ki0k0zqsGzo37YfZs2eLUkMlS3cR5rcU520TkpgbQn3cyc6N87KrmYMHDyHIo1BMxd89VJzDs2dL59IzVWtkuzv5wPz/+dXWkrxStU9dYpXLnffMvqV83VR9fWzp64TbJqVTQRimqqCKHIc7ay71SRkkcYXvsZoOhY33bzcRP/74I4ug1XIWL16MgjygX7sJctOD9G7C5A6/o5WBjWxGZ7jdxV/UNGVqPj+53NWYgIzdiY0KhZbG9ngJNhIHjBo1SqhfFpbuChTGs41VPgySyy6LYnr3rCgpFODOednVCdU9fxgViWDvQiPb1d4L5qYSzsuuZk6fPi0nemaRX1royOzSPkgqyCM1MtaD1Rnly3bd6haIvVVYFYFhyuIvx4gqFUEj/RBd8R90aTpADFDXxtzshIQExMfX3JJqVcW9e/ewatUq9G49BpbmxVEdlhaA9fGN1bpvugQb2YxOkOvpjDXenAOkM+jp4bu2WYBxCeUyNdB/mgpv/dLnnsKLZ/R/H5cuXca8efNE6a76PoVebLu88kPvSLzJ2iIPwZ4NceHieWRk1Px8uNrIkSOFwnPS0H3KzfZxDcHJk6wwXl3k5OTg4oWLcvnYktTS0STknXbLL19o0cM4plSd+rLId7TFeu/qVxJnGCk/t8kpLPBeBdB9YmmhZMRHNWNoYIRBHabin3/+wfHjx1GbmDZtGoYPH466zrvvviuM62dbjZCb7p1wAnr5+dW2X7oGG9lMjYdy9NZ3LUCOPt/YusQNkwTc6qwZETTbE5tgZlZ6mN/XLQTDu0wX4hyFpbsKjWyr6IsVrtM6P0EYd6SkzIrW1Sd65uboDWuJXdE0P9dQnDxxspr2iLl27RqysrPkjGzT6JsKD4zNhS0iP08R5JWzv/if0gf0aEd7ZOnn8QlgagyXTeMR3S6gyrZnra9YrFOTGGhIOL1t/e7wdg3AvHlvlRIg1VXodxw5clS8l9LS0lBXuXjxIn755RcMaDdJpAdIsbPKg8X5ndW6b7oGG9lMzcbIEH/1dxBCYIzusdb7vohCqCz6WRkIitutMJyuZ+tRaBzUGpYSawR6NhRCaSa3K84Xski4C3cnP0jMLDkvu5o4eKA4H1sK5WVHP4pCdHR0de0W6no+tr6eviinJhU9M4pSbGRTSoarheLOqKtVOgzjo5TaZravG/6050glpuaxJjgKBdaWGltfvoNtmfMkacrdLxVB70lK5XC2yYaP5WPU07+Gxsk70OLGV2h+fAHqZ5+ArVXlBrQo6mhIx+dw8OAB7N6tvLBhTSYqKgpxcbFi4J0M7brKm2/Og6uDJzo16S833SuydpznqoSNbKbmoqeHQ/19cNiSO9u6CkUfbOpkqJGQO7NrR+FvVjpfkwyCOUOXYeGUDYWluyRPoZeXW/H67hYaEwHu9XHkMNfLro7ct+s3riHYS97I9nMPLcoLZqrHyPZw9hXpGISVeX654YGO9w4qnO58d4/S2/yvjWGdErRkdIckgyyc6lKsrFwpjI1xokPZgmrm0dfUXrWJqR58LJ+gyZN/0eLMYjTY/wF8dy6Fy56vYX18E0xvnBSDYpTmQd7I4N2L0Dh5p9JVAhTRJKg9grwa4M0330R+LQghpmcfQQPve/Yo//yqTRw8eBA7dmzHkE7Pif6UFGfrTHENMapRfAQZpoZx/dkg/OVQ+8t11XZOSmLRqV0A3A5XXj3V/sC3SO4+D4+T5XO9jQ1N4GDjKv62Sb2vdB1uyoGjkPEdx35FXl4eDDQVS8dUiLR0WrBXY7npdpaOsLNyFCH8AwYMqHP50FS3/dGjR8KTT/9L/6aPubk5pk6diu7du0NfS7mip0+fkRM9s0T5St+md87Axqc3klKLjWR76zyYnLyg1PZSG/risGXpnG+GqSn86nQPTfzdYXy3cp7mxIaeOGYbj7ZlzDeKvAEDNyBPSSczPQKcrZ7CIeYczM8cUGpwWRbTGyfgd+MEPLzDEBPcC49SJFAl8pvK/A3v8jwWff8C/vzzTwwbNgy6bmTbWTuivm8L7N5dN41sKs3m4xaElvWeKZpG45/u1/+p1v3SVdiTzdRIYtoFYbU3G9i1ha9CNFN3lEbhfU6uUZifLcXizgml12ejnyKM7NS0FFy9erXS+8coD4XjUYeG6p6X7Lj5utarU3nZqampGDN6DExMTODp6YmWLVti4MCBmDlzFr767Bvs334Uj+6k4PSRi+jZsycCA4PwySefIDExUaP7kZWVhUuX5EXPzFMrVvt2Tb8u//2xklEI+vr4ualywmgMU23o6WEjWcaVHNg6FJCLh0apKLCxUryZvFzYSCq2sG2t8hFieBPNrnwO753LIbm4R2UDWxbjiKvw2vURmt3/Dh7WquWFh3g3QaOANnj7rbdFmLUuc/rUafHsC/VpgcuXL4k60XXtnXzgwAEMaD9JvIeluFulwDjyRrXum67CnmwdoUADKs26QlpDX6wI4/y82lZ39EwHT7T4p3QpIFWhkLfgmO24aNOz1Ki7pQQwjHug9LosUyJEeLKBgaHwrDZsWKhyzVRdPrb0ZU4CWvn/71/6udXDztO/iRBEbXlsawqXL1/G4EFDEBUVjVHdZsPNwRs2FvawtXQU6q6U+ygrzHM78hJ2n/kTr899HW+99TbGjBmNWbNmoXFj+YgAdbhy5YrwptPxl2L2qOIIFMtzW2HUMgw52QWQSADJqV1KbS+mbQBumNyr1D4zTFVwxjwWPVr5w+n4bbWWJ/X8/VY0YKWHdE97WCSlKGzn8PQejKw9YVSQBaP8TBhmp8MwOw0GmSkwTE+CQVKM0loHqmIYGwGPXStR8OxriEqSKL3csC7TMX/tRHz33Xci0kYXoWfr6TNn8EzDwQjzbS6m7du3DyNHjkRdYcEHC+DlEoBmwR2LplFwn8s5LtmlLrW791KLCG+ioZygGk6OjyuWtopBnl7tUKtkivnN+T7y3Bw1ckgoNyjApHT5IDt91QTyzMIvwMTIFL6uwTjMedlVBpVMO3f+rFw+NgloSQfP/dxCkZKajNu31evQ6grff/89WrZshey0AiyY8i16txmFxoFt4eMaDGsLOzkDm6ABiSCvRpg5eAE+e/Ef9G09Dn//uQVNmjRBmzZt8euvv1bKm0Thkgb6BvByDijqYBk9VCx6VlKY0N3ksfjbI/u2iDipEDNTfBsco/a+MkxVsyYsRlQ7UYd7jZ2KdAdinY3LbGd75Bf47PoQ7rs/hdPeb2B3+EdYndwMycW9MLlzVmsGtizu+7+CjaXyfTB6XrUO64b33nsfT58+hS4SHh6OxMQE8e6xtXSAt6t/ncrLplJse/buwYD2E4VWjRQvs7gqueZqK2xk6wj/esWLTok2eFrPGztG+OLQkABc6BuMO92DEd0hGInNA5AR5o1sX1cUWCg/qlkZ1c2Vz2QIrydT+6CBk4NtFYfJqYPdoe+FeqosVnFXVFqHUex9mJrqIdCjIXbu2IE33nhDlAOj8hV79+4VIeRPnjypFaIuNQnKtyZjUDYf2ybxNqz+XyfWzy2kVoufUUd08uQpmDhxIlqFdMX7k9fC1d5LpXWQET6w4ySsnPUHXhy+FGlxORg9ejSCg4Kxfv16ZGerLmh09uxZeLr4wdio8F1jJcmXC0PNdyoutVYS+2u7YGysB+szyuXu3ezojThDrk/P6A7xBk9xpZOn6gvq6+M/j8JBKOKebc3u4+hnP0XAxfVCTE1ZhnZ+DjExMfj666+hy6JnPm6FehQhns2wa9fuWlOerCI+eP8DeDj5okW9LkXTjIz14Hjy12rdrzoXLh4ZGSnCKimkrHnz5qhXrzisrCQk2PL7778jMDAQffr0kZtHHaxdu3YhIiJCzO/atatcDoAm29QGUgyy8bCFNzwOVexVUJYCKwsc6+qKTU4Vh2Yb5eujd6I/Wl3Lhfn1BxRbo7H9EPsiMcPavkZ4ZKSbpboCzZxx+2lsde9Gjedf+wi014CADEHeMq9j3yCl2Yt4+rRAeN3MbpSdj02lxAwjS58jW5MMtGvwLO5FX8f3635BcnoCMrPkO/+Ghobw9fHDnBdnY8qUKTAzK64dyaiX+0UKrh6OvkXTzO6dgVUzfyTDChIzK1E/m4zxsWPH1qpDTN55Cg+/des2nus/Hx0by78bVcVA3xAtQjqLz/1HN/Hvke9FyOb7772PN958Q6XrlQY1vJ1kRc/k0zv2dbZFt42Kn9FG0bcRYn8Q+pkV51jn29vge6/SkShM5fAxdcCj7GRk5ddsI06X+dE9HMscbKAfX74goCwZIZ6IMC5+5120TER31GwMH0ehXux2XLLtCWXGmF3sPdGpcV8sWbwE06ZNg5WV5gbUqwJ69jnZucJaUjiQSCHjO09txN27dxEQUHW10qsDes/u3LVTREjJerF99O5DP03565yppCd7xowZ6Ny5M/7++2/s2LFDGNkvvfSSwrbk+aHO0fz587Fhwwa5eVTkvX379pg9ezZOnDghRvN79+4tDHdNt6lN/BEQr5FSSBSyFN8qAIuG6SllYEtLMf1jH4G3OkThi4n2CH8muEzxDpUwMBAe82+HWut0Ley+2YCZQdkhYEwxW1tpTgrCIDURwVFbRRSenUWOGIFXBNU5vdzYRuE8y6dRItztnYmr8PGsTVj3xl6se3Ov+PvdSavx4rClGNvjZTia+eDFOS/C28sHy5YtQ0qK4pw6pmIOHTyEQI8GReHQlMdr+CQakvTicn2+LvVw4njtEj8jBd4mTZriSUwyPpi8ttIGdkko7eHFYUvw4fO/wNu+Pl588UX4+PhgxYoVQlytPDIzM0VOtq9MPrYkLVpuUHaLbUS5de/NL+9Xaj9PdnBEhr5uiyTVRBromyPYVDMpOYxisvXycKq9asf4TD15TR0hfqbB2tvagtKygvTkRQ3LY1DHyUhLSxeijLrGmdNn4ONSPMAY4tNUpM5QRFtdyMV2d/RBq9BiRXESl7U7/lu17ldtQKXebq9evfDVV18Vlbk5cuQIOnTogEGDBqFTp05ybZcsWSJGssgoLwl1UKno+6VLl2Brayu842FhYVizZg1mzpyp0Ta1iXCjZCQ19oXNOfVVt/NcHfBPF3McsgxXex13jZPwaWASDAL00DvRD62v50Ny7QGNrCi9DnrB3Gvhhj+9YxFtqP6+1BQaPolEiJsvzmdw7kpFHLSMQo8wH0iuaua8m94+jUDXYOBp2REsyf5OOGGXgCYK5kmirgKO8iPVVCPY1M4cznYeRdO6NR+MIZ2mYeuxn/DuO+9i6dJlmDNntjBkHBzKrn3KoFT00fETJ9Cn1biiabaGhQagWcxNwKEwVNzfPRS/7f1ShD0bG+v+ANbiRYsx/535aBXaFVP6zYO5ifZScNwdffH8wPcwuOMUbDn2kxBIW7JkKcaPHwd7e3uhYl7yQ6GedG5klcXNHhUrymZ42AOIwvWGNmigICJEWXK8XfC7E4md1b6Is+om7GkGJCbmuFTdO1LL2eh0H83dnWAYVbH6NOVwb7UrXaJOiJ8lq6bkXR3YHNsIr+4v4kGK4kFqWeysnNCl6QB8svIT4YCztq58RZGqgJyCZ86eRa8WY4qm0fM50Lu+yMuePn06aiuUIrR121Y8P+h9OQ0Q38xL0MvJqtZ9qw2o5BalmqWydWTJi0ydn5s35UOYKZycDN21a9cqXM/GjRsxYsQIYRgTVLKkb9++Yrqm29Q2toWpedEbGeJu92DM65eKQ5bF3onK5tj+Z/cAb7d7iEWTJdg+0lfkc1Pd0wJbxV5uyu8+OigAb4zIxhf+dxFtmAZdx8nYGg5p8QjN5xrLyrKpWVaRCIwmsDv0E2zO/1fm/PvuBrhpmqiwjJhxxBUYKineT0b35L5v4uNZf6BdaG98tOJjeHt745VXXhEDfkzFXLx4EenpaQiRET2zTCmMqDEOvyJUxgkSoMnOyRaDqLrOX3/9JQxs8vTMGrJQqwZ2yet1Cl2vMzehZVA3bPr1L3z+yZdYsmgZ3pr3NmbPniPCySnq7LXXXoOFuRU8nf2LRc9kyrbEuRbmaf/n8qhwpppsb2uq0XufKSYs/gHCOLxT6+TrAQfbWijVNqaxB7L0S5flinUxga7guu8r2FsrV7y7b9uxyMh4ii+++AK6lMKTmppSpAUiJcSjKfbt3Yc8ZQuX66gX29XBC63DuhZNs7QogOWpv6t1v2oLlYrb3LZtm/AyUNi4FKrbOWbMGKxbt06hd4fa37lzByEhJS7mkBDs3r1bo23KqgNKHym6FvJ5yjwGQwI9YHK74tqlRZiZYP1wW1w2vatVQZCd1pHYSTaMH4A2gHuODRqn2iEgwQiSjALs88vACQtSky0WAKkNhBoVGm5haQlcFE9JLpg9RmIzf9ieuaOx81Be7tApu8J5if6OsEuQzzMlYSdb8xw8Tla+TB6N2I/pMQf924/HrlMbsXbNenzzzTcijaZjx+LyF4zifGwjQ2O5sGTz++eLzoW1JB+JKfqilIihgaHIF5N9x+hiia5xY8cJD/bgTlOrRTPE3toZ43u+onBefn4ecvNykJOXAyMDIxgbmigUPbtrV5iGRWJlKQ28YXVB9dJb6fV9sE+UMWI0jZuJLWyeRiMkJxP6rg7IL2CxRm1CDoYOSuiL7PZV7K0m8bPC4ayaDz0H/E6tQUbjF4T+SXlQ6cHOTfrj448+xpw5c3QiN1sqeiYbxUPU92uBvw9vwIULF9CsWTPUNuh3/fvfv3huwHyh7SHFO+Ek9FjsVSOoneBLodkkrjJhwgQ0bdq0aDqNig8cOBA9evRQuFx6erpQ67OxkQ89IW+0NGdMU20UsXTpUhHCIv2Q91vXONJItdDJ4z29cNk0HlVNlFEatto9wGcBd7Gk4b3/G9i1j7Dswo5oUHwEDPXYm60sPzVIAgy1f7woNeG6aWG+/213xQaOVU7FYX+KsDS3wZDOz2HlrL8Q4F4fffv0FeFXTNkcOnRIhIKToS3N/TKKDS8ltkXGnrdLoDCydZWEhAT069sfDlZumNb/7RopykkhgqQmLjG1LFIVJywhPwB9wTKx6O8TQWpsSE8Pm5py+KG2CDUozPE1zc2Evymnr9QEfZEcLxecM1fsVCDxM13CICkOIQ/+ViqIpW+7cUhLTxfppboAGdlujl5CcFOWAI/6MDUxq7V52QsWLISznbsQfpVibVkAi/M7q3W/UNeNbMrd6tatGxo1aoTVq1cXTacLcevWrXB1dcWnn34qPvfv3xceZ/qbvMbm5oU1BksawrLzNNVGEfPmzUNycnLRhwYLdA0yXPOdKD+uYpKa+eN3JcXNGPUIS3wk/jfJzUKAGYvOqJLb/6iN9lU7KR9bynE7xeJ6FnGVU+2n8N85Q5bC1c4bz/Z4FteuXavU+morNDB6+NBhBHkWh4rbGsunjFikFns6fV11V/yM8puHDR2OhPhEvDT8Q5ga65YivZzomY2VEGuSstMmUmXhpqQmfiKChdEOYTIl20L1dOta02V9kYxQ7zLnX2tQthdXV8TPZDG5dwHBeRWn79hbOaFT435YsfwjIVBc0zl9+gy8nYtFz6QYGhihnk+TWlkvmyKsNm/+C/3bTZDzYnsmFnr1mWoyssnA7tKlC3x9fbF582YhmCLFyckJzz//vCjdRYXd6UP1QMnrTH9Tp4Pae3l5CVl8Weg7leAiNNVGEbQcha/IfnQxH+hyi4qN7HwHG3zWhMtKaRMrQ3N4JhWHi4UW6L5AU1XyfVAMYKrd3LR7HgZy4oGKav2a3D1X6TRRMxMJXhnxESxMbNGtW3cxwMiUzn2LfxKPYJl8bKu0B3JtTKOL1WwpL/vW7ZtiQFTXeH3u6zhw8ABmDVkEJ1s36BqmMbeK/k73tCulx/GwiQq/SV8fvzeo+SJPukxYQvGgSFhGzTdsagt/NctVrDFgZIh/Sb+gHEj8TNewOrkZdlYVpyL0azdO5DnX9LrZZJecP3dOLlRc9nTW82omUpyo+kJt82I72rqiXcNeRdMsLQDJue3Vul912siOjY3FM888I4R+qIyXqWlxaBnRoEGDIg+29BMaGio83vS3nZ1dkYDapk2binKjk5KS8N9//4kwcymaalNb2egWKWpLl4m+Pjb3sEKiQe16MNQ06hnLdz5DM7gjqQoxhum4294H2uSUrXxYXrx/6Y4N1fZ1ss6ujJ6TwMLMGq+N/ATINRCGNg04MsVQZ4XqcAZ6NiyaJgkvzMeWYvTwJgz/P7BOYeXk/da1EPyff/4Zn3z6CUZ3ny3qreoaVCnS+MHVckWatvkoH+4a38KvKGWD0Ty2RhZwTSlOxwqN5xrkVcUZ81gkN/YtNT2pgTeeGCouKamL4meyeD2oOJzYwdoFHRr1wfIPVwhHW03lxo0byHiaUWRkUzlJO6tiobMw3xbCwD5+/DhqCxRp9+effwgvNumeSPFMuQC9gvJz7hktGtnPPvusCK+mslwk8iM1pKlGtSpQ7WyqZU0e8ffee0+U/3J3dxf1rjXdpraSrp+DBy3LzicP7xyIwxpSEWfKJqyE6CR3blTne9+HogavNqAw1xum8sbADVfFo/C+O5eixbEP0PLKp2gavREN0/YjFJcQaPYA3lYJci/e8rC1dMDroz5DSmIaunfvIfJymWIjmwTNpOraJqZ6MIq+LXd4SHDFWlJ4rF3tvWBuKtGpvGwaEJgyeQo6NOqNZ1sOhy5iJSmQEz27Y1cciizlukkCsv3dK16ZoQF+CdWt/FNdI9S4sMKKFOvMFLiblI7YYbTDr43SCkemZDgaVPH7gsTPdBHTm6fgYlOxA6d/+wnC+UX2Qk3OxyatDB8qAyqiEzNgm1M8OE7VFmys7GpVyPjCBQuFeCu9o6TQ4ILl2bIrtDBVYGR3795dCJtRyLg0HJw+dBOVBXmbqayWLBRWfv78eaFCTiNEZBTTKJGFhYXG29RmNvk+VlhKJdvPDV8EqK78yqhOaIq8oJxlVhq8WHRGJVL0s3ClgxKddTVI9i+dI3/cpnwRQP30ZBhHXof51UMiNM7+wAa47v4CQbsXoVHaXtgqYWw72rhi7shPERnxEL169ipXjLEucfDAIbl8bDuTDIXtLPMTi0S5fFxDcOrUaegCFO1FQmceDv6Y1Of1Gil0pgyWeiVEzySKB4ouh1Vciiy2pR/uGeteuL8uEZZTeuAwzKBu9INqAjdMEvC4pb9cqt5eJVT0dU38TBb3y39VmGJF78H2jXrhw2XLkZGh+Flf3Zw+fRoeTr4i3YuwyIqDReTFovkUeRXq07zWGNlUcnnjpo3o1268yDmX4v30CiuKV3cJrxUrVqi8gWnTpimcTsreM2fOLHdZTbWprZBwRmITX/kySKYmWNsxW+TMMdrFRN8IAfHFqshSwvQleICqV3PXZX50D8cyJ3voxz3R6HrvuZUehHpklI5cd0cYRqkuwmR29QiCrx5BeqOueODYDsmpZfcy3B19MHfkJ1j68yyRwkKikCVTbOoS0dHRCI+4j34tphRNs8pQ3BGVpDwA9AoVkv1cQ3HyxD7UdKis5MABg5GRlol5U5cWlcLSRSTpMqJnttbinlHEv04P0czYmH684hUZG+PHEH4Wapuw5NLVEcKysrBL61tmpHwfGo/XzhkB2TkIb+SMfL2K8+Kl4md6ybo3CEsRSJ5hCXiQUn7ExID2E3D4q21Ys2YNXnrpJdREI9vbubhcgnn8XZjcOwcj177IyS4oysvesO1D4VAsWdFIl6DUq1kzZ8PeyhmdGhc7P0kr2vLQP9W6b7UVtUt4MTWDLfXkRwdP9vTCbZOyIwsYzRFs6ggDBbVIQzPLz8NiSpOtl4edz2hehPCUveJ74bGvfHilqkgu7kW9PQtQP+eUEAspC1+3ELwyfAWOHjmKESNGIC9PuZDz2siRI0fE/8FejYumSWQ8BrKYRhbnA1NedvSjKGGk12TmzH4RZ86cwovDlopQPF3GNLZY9CythOiZLMkG2Uhs6FXm/IetfeVUyRnNY25gCp8EefFAIjSB65FXJXSdR7b1E6pZW72UHyzO8NLdcmvOp3+FkVH57mwnWyoR1RNLlywTQsg1bWD00sVLQmBTikn4ZeHRtTd/KlcvOz8/HwcOHIAu88cff2DP3t0Y3/OVohKahFf2Dbn0IEZzsJGt45w1j0NmUGFudnJTf/zqzIrGVUVovuJAkLCEYrVxRnl2WkcipYmfxg5Zga2VCONTxDUXzbxQLM5tR+j+hQgtuABzc8WdjRDvJpg1eLEQZfz8889Rl/OxXR08YWNRKDxnbKwHoweKS50ZPboHI+PC4+nnHlrkcaipbNiwAavXfINxPV9BkIyomy5CqaUmMuclxrn8igmHA8vIKzU1wQ+BLPynbUJM7KGvQKzIJfUx7Ix1q0SUrvOdfzRSGvqK8pTKEuukuxVJDJLi4W1YeoBHkTc7Pv4x1q1bh5rE1atXkZWdJSd6RulihE1auFzYu5uTp06HjFPK2uxZL6JZcEc0CWpfNN3MDLA+tbnqdkRfX5S9exrihVxPZ+TbWgndjtoKG9m1gEONDJFvb4NPm3K5rqokLE3xi9Qx7TEcja2rdF9qC2uaJFItLI2sK8mv7JrlR2ziSgnVqAuNelud+gehV9bCzEyxod0kqJ0QwXrrrbdEGau6BglU7tmzFwHuxQaonXlmuUqmNmaFIch2lo6ws3KsseJn586dw4wZz6NTk354pqnuV7awJNGznOLw79t2hdU7ymKf5UORg1qS+219EGdYM/MwaxNh+WU/x8KMKhexw6gGqYmvaFms8q4Md+10U/xMit2xX4WhVh4u9p5o26AHlixaWqNKYdHArYG+AbxcCsv+Wss8ryR3Tsq1refVHHt2666R/c78d5CUlIhxPV+Wm+6Ve1vuea81zEzwsGMQPp1oi7c6RGFep2i81vsJXhmegZem6OHdaRJ8OdEBv451x4X6FWt96ApsZNcCttk+wA99zLhcVxVCYhghCvKxpYQa6l799ZoScneli2ZKet1zL/vxRqXtcjydoUkMH0eh3t3fijywJRnaZTpsLRwxedJkEXpWVyAxsM6duuDO7dto16BH0XSrjPIjPizzCqMQSDzM17UeTp6Q7/TUBJ48eYIB/QfCw8EPE3q9qhWhMxoLkpgD9ta5sFGiPm1lsdKXD+++YFGBOr6enshBlYXKS/7gxxE9VUFYatnnJyyHQ0CrmlR91QwWXRY/I/Szn8I383KF7fq3n4jYxzEi6qcmKYt7uvjBxKhQK0WSWeyoMooNF55tKaE+zXDz1k08fKh7aRgXL17El19+iUEdpojSalKouoe2vdgFdta43jMY748xxEf17iHcKLlMAdw7Jkk4KYnFA0nNSiuoDGxk1wb09HDBTHURJ0Z9/E0dYJpb9ohsWE7dzb2tLBs87iHXq/hFoC4n7coP2Yvx0fxAiHHkDYTFbVNYb9vU2AxT+szDkaNHxAuvLkDe5yaNmuLq5et4a9yXqO/Xsmie5NGVcpc1TywexPJzq4fTp8/UqMEJyq8fPmwEUpJSMWfYkkoLnVFtcC+rRASahCMs7ywaJ2xDi9ur0eLEAjTY/wECdy1GyO6FaBb1G3wt4sqMmtCk6BlFSCnjjd7iFS/eQ1Jut/XiQd8qwFDPAEHlDfYmcXRbTUcqfqbLWJ76G1aW5Yvtujl4o3VYNyxauBhZWeVHx1QVp0+R6FlhqLhU9EwWe4MkOSObBlH37t0LXYLemdOmToervTd6th4pN88L98UgiTagUPBjgwLx+pCnWO19F0kGNeOcVzVsZDOMGoTqlR8fFZakWsgYUwwp4//R0bBS4dykiHzLpHwPwRWXbK3VEA3NOKawvAnlZ/doOQxvvvEm7tyRqQpQC1m/fj3at+8AiZEdFk7dgCCv4tJdhkaA8T3FomdSTCOLvSMkTJOSmlyjQu3nz5+PAwf244VBC+S8A+pgbVmARvd/gdvuz2F/6HtYntkC09unYZAQUyqk3ujhTTjvXYWGhxagQcYhuFlnKBzUURczWdEzL+VqLVOJrswgD/E31bz/0SdSczvElEmgqSOM8soON/ZOfAiJQd2taKAr6LL4mTRlyif2cIXtBnaYhEcx0Vi7di2qGwpbv3L1Cvz+n49NGIdfkmtj9eRm0d+W5jbw9wjRubxsyoM/feYkJvaeC0ODYh0hExM92J78Q/Mb1NfHoSEBIhR8o9N95OjXnIHx6oCNbIZRg7CM8stzeCY+hKVhBYlKTJmckMQgtnVx3VFVSVJQH7skx6xiNZaXXRLJhd2op6fYUzv8medhJbHDlMlTapRnVpOKrdOfm4GpU6eiXf2eeHv8V6XUtm3NsyusyUnh96am/xc/cyvsCNWUvOzNmzdj2bJl4lyS8mxl8LRKRsjBD0VJHFWg4ye5vB9eu1ag2cVPEWJwvdLh5DQwZBxRLHr2yKm4jmpFnA8tNOautXdXOWSWUY8wlC+aRYJo9Ux024CrC8RWIC6oC5hf3g9H6/Lzy90dfdGhUW+8/dZ8xMTEVHsIdW5uLnzd6onvFhLAIEM+Vcb85nG5wfIQz2YiL5tKYekCjx8/xutz30CHRn0Q4l1c1YPw1H8A/UzFpRkrw6n+AfjLoezomroGG9kMowah8RHlzqfncj3jQhVlRj2+CX0kvGLqcNet4lBaMgSyfV2hLayO/4lAsweKw8Z7z8Ohw4fw9ddfozZBHaeO7Tvj22/XY3KfNzC13zy5UiFSbLKV62BZmxaGmEnMrODjGoT589/B5csV5/9pkxs3bmD8uPFoUa8L+rQdo/Z6yJtPYeHuuz+FXk7lQulIEdfm2EYRTt4oaTtcrZ8qjKSoCCuLArl9uW2jvEjRFoeHyHNzxI8e3MGqKkLTUypsE5annbQCRnPctdVt8TMpnrf+q7DNqG6zUZCnh9mz5qC687GNDI3g6VQ4mG+lIC1GPFctiwcuw3ybIyY2BtevX4cu8OorryE3Jx+jus2Um066MbanNml8e3e7B+MX53saX68uw0Y2w6iIu4kdrDOV6dzwoa0MJE52oqt6RvCpCvKxpUR5q2fEK4v9gQ3wtiotTBTq2wzdmg/GG6+/gXv3asdL6eTJk2jcsAluXr+Ft8Z/hWeala20bf6ouA52eVhmF2tNvDRsGfRyjNG6dRv8/fffqK4yKCR0ZmXugOf6v6220JkID7/3kwgL1zRmN0/Be9dyNLu3AT6WjyusYyuLpb58hM5ZS+Xr/abr5+CLnvnI1OMHX1WgB70KB3uJ0NT4KtkfRn10XfxMinH4Zbhblx/lZ2lujTE95uCPPzdh+/btqE4jm1TFpYPAFpmKB37tcot1DSjlidrrQsg4lcz88acfMEJEzslXGfAyjCrlta8s8a0D8YWffE47w0Y2w6hMmIFyhllYCnduKsvvTveL6sBrMh9byiUn7ZcTcdnzpcibLcnIbjNFnldtCBu/dOkSOnfqDCsTByyctqHcWtGUP2xy95xS6zVLKB6AcLBxxTsTViPMuyUGDRqERYsWVWnYHm1r4oSJiIx8iJeGLYWZiXplRkjcrDA8XLsdEsO4B3DZ8zWanFmBYMNbIhyyIiwyiuta5zvZqSxeVpZyLKN5vE3tIcmuONwzMD4CRvrFuZhMzaM2iJ9JcT2/scIsrHYNeqK+bws8N2060tM1H7KsDKdOnoKPc3DRd7M4xc9jy0fF2iGkQh7i2whLly7FmDFjsHjxYpE6dPPmTRF6XpNKZpLYWYB7fXRu2l9uHqVg2Z/4TaPbSw/zwdKGHMGkCPZkM4yKhCmpjOn/JAIm+srnNDKK+b5tFmCovLJTkr/yOYjHrWIAY+2eIxKu8tj3CRys5V/CpsbmmNx7Hg4cPIDVq1dDV0lKSkL/fgPhZOOJN8d9AVvL8vPhbS1yoa9kh8Q04lKpUPvZQxdhcKepeOeddzBq5ChkZGRUiYH93nvv4a/Nf+G5/vPh5qB6mTnqeFJ4OImbVTY8XKXtZqbD9uivCNu/AE1jNqFp9O9oFvEjmt9bhxY3v0KLK5+g1bllaHVqAWyO/Fq0XIpH6drXTM0hVF+5QR6j/FwEmVasUcFUL7oufibF8HEkPCzKH+SmCKBJfV5HXGwc3n3nXVQ1aWlpuHHzBnz/r/VBmIQrFuI0uX1WLhpoSIfpaFm/E65fuo3lH67A4MGDERISAolEggYNGmDEiBFYtWpVtSqof7LyE9y+fROT+swV5WZl8cu8AP2nmvNi53i7YknbWCFYy5SGjWyGUZGwBOXqJBrm5yHItHa8OKuT6yYJCO8YoHT7O27KG+QU2vrUt/LlwiqCjEqf8z+IMk2yUI5X12aDMPe1uQgP172RYPLAjx41FvFx8Xhx2JKieqPlYZOjfFkhg6R4mJvLhztTp2FwpymibNY///wrFMwjIyO1qkI7btw4LFy4EMO6TEeLkM5qrScY17QSHq7KYA+JmlGZOaOYe0JYjo6vQXqKMPpLqpirInrGVD1hmcoPLoUWsCe7plMbxM+kOJ37o8KKB852HhjYcRI+++wzXLhwAVUJbY/eXVS1grCUFA5GKkIvLxf2kuKIngCPMAxv+xJeHfw5vnppO758ZQvmjfsCo3vMgZdtPdy8dA+zZs0ShvdPP/1U5VFq9+/fx/vvvy+qmHi7BMnNs7PKh9VJzaVa5TvaYmXXDJEqxCiGjWyGUQF7Yys4pypfkzysgDuqmmCNfwTy3OUVqsvilF3pHOjyeOhljqoa4ffXu60wbNzcxEqEjeuKaqmUJYuXYPuOrZgx8F3RaVIGSewNlbZhbay4jmfLel3wzoRv8DD8EZo3b4Hjx49D00RHR6Njh47YtPEPvDD4AwzoMFGt9XhbJsD6uOaFZrTJTVvt1E9lNEPYE+UHlsKUEEhjqpfaIn5GGD6Jhqd5xXoOvduMgauDNyZPnIK8vLwqzcc2NjKBu2NhRJKVkYyBTTobJUYIrNMiyvTI21jYi8Hybk2HYHSXVzB3+BdYOv1nOFv4isHZJk2aYseOHVXybifF9Lat28HC1AaDO08rNd/7bsXCdMpSYCHBmj5GeCR77JhSsJHNMCoQaqRaCGVYGucoaoIM/Vx82DMTuV7le50L7Kxx20Q50TMp5520H24sxebor7C1ku9MUG7v5N5vYt/+faKmpa6we/duEUJNtU+bBLVXOmTa5M5ZlbZjkVW255tG6t+fvA525v9r7z7Ao6jTP4B/t5f03ntCgIQOoUkXQRFEVERAFHvveurd/c87PfFOPfU89ex69t4b2FHsjRRCQkjvvW+yye7/eQc3bJJNdnazybb38zz7QJLJzGRmd2beX3nfKCxfvhz/+te/hBJijvDDDz9g7py5OFxYij+d9RAWZR5n13qorE3kZw/BrUgk+MWHc0q4qghlAEI6xTcmTmkoFRKlMdflKcnPTMJ+fNlqbzbVbT533Y34df8v+M9//jNRuyZc26lahez3XAU+3TWDclHoUqIHLe9b/KNN66fg/fJNt+MvOx+Bvl2K448/HitXrhS2O17effc9LFq4GGqZP/5v58PQDskZQqUiVYcdNGJAqcQrJwUjX2Vbh4Y34iCbMRtk6G1LbpHeUDxsTgyzT528C38/rgO9KTEjLtOSbPvcw+98agC1akJOCw3JTcp/dVhimGkpWVg2az2uvfY6VFSIm47gTGVlZdh82unISJonDN0WK9C3H9Je23pItfWjJwgL8AnGjdv+jRWzTsL111+PqVOm4tVXXx1Tz8Fzzz2HJUuWwFcRglvOeRzJv9dStZWPD5D4zUPCkEN30h8ejFYZ17p2VVMVATYtr+3tQpKGpy65Mk9KfkZkLXWI11gf9ZcWN02YMnXzzX8c12k/5r7//gckRh69pmvrDg38vy0mEOWJg0e3KaoKh01bEoP+tpu3P4Brt9yFogPlyMrKwimnnIqCggI40r/vux8nbdiAKfFzhAbhoXlRqGRX5PfPOmx7+9YlYJ/v0SSZbGT89M+YDTJaxM8nJRq9Dsk8L9thKNvxX1c2oXtyvMWfH4qx/UZICTs6k8d/XrYJzYlNVlcO+/7W1ZdDIVXhoosudulh45TQ5aQNJ0MOlTCEWioVPwc+oF/8VAsTVcng5GeWyGUKnLnmGtx+wTMIUEbitNNOw+LFi7Fv3z6btkVDFm+88UZs374dWVNW4aYz/4MgP/uCE0qWM7ngRcja3a+HipOeubaMHtuHFk+VaMZlX5jjeEryM5PQH18elofEks0rL4ZKpsHFF10y7ve+1tZWHDpUiOTfk57R6HAqPWZSHS7Hj+HDy5CF2Fk5gYaUz5q0GH8//2lccNKf8MUnX2HKlCk4Y8vWMdfbpvvVpRdfjiuvugJr5p8u5EWh5KBDJRsLIGt1zMikrqkJeDm82CHr8gYcZDMmko9MjYQm21taM/jhxqEoycYtS2rRMT1p2M++C7IvoCmLt56wy5GC9z4FvyGV4HzUftix5lq89967ePFFx5bYcKTLLr0cOTnZQuIxqnlqC79621vwpZ2tospPkdjwZFyz+S4hEU1dRbMQaJ966qkoLBw+F95SlvSNGzfizjvvFBo8Llj/Jyjl9o9wmNz+JRQVB+GOqiI4UZYry2i2vRcpo5vn2Ls6T0p+Riiwi1dbrj9tTqv2xZlrr8F7778rlMQaTz/9dGS6UlLUkZ5s3yFJzwqDdPhRWwejz+Bg1b9pbL3P1Bi9dMY63HnpS0KD8J4PP0VGRgY2bTxFKIFpT4b0dcevx38ffhBnn3C9UHvcUoO3v58Rgd+8DIeQy/C/LL6O2IKDbMZEmqIKtWtW29Su4a2ibGx6pP34y4IKNM89mnXcEBKIQzbOxzb5KWyUc6RUoCc1VtiWMcgfjso2nlL+wbDvz528DAsyj8Xll1+B+nrbe33H25NPPonHHn8UZx1/nc1DqKnHQF34vV3b9VfYNm+eEtH85ezHhYRsez/fh6lTp+KKK67Au+++K5RLo7nk5513njBXbsaMGQgNDUVQUBA++/RzXHv6XThh4VahB8JeaeoS+Pz2KdxVfuDE5SlgtvGXaxHbWmXzYctoLOND7eI8KfmZScj3Lw8qgTUSqtpAuT0uufhSobd5PJOeaVRaRIXECV/7ywYn7vrFp1EY3daeFjXo+9qDto2KGgk13K6edwruvuwVnLPuD/jqi2+Fe9C6tevx888/i1pHZWUlFmQtwhdffCEMRT927qYRl02q+sRh05VKl6byPGwbcXM1YyJl9Nv30C083ISI7IpjotGN8NbZJbhRMQnh3xSgJSmE2nftOoI/a2qxzUcDSWc3jIH+aE8KRXmUAtnBnfhJUwe99PfW+DnA9O4oLKzzR2JxFzRFVUCffVlR1QXfI+HY+ShtDx70/TPXXI0b/7sVV155JZ5//nm4Cip7cvFFF2PZzBOxYvYGm38/PEA3YpkUa3y7qecuxabfoVwIx0w/XshCvufHV/Dk40/h/vvvh1QqRWhQOIIDw4S5a9E+6Zg8YyEC/cIwNWE2QgMHP1zZKiagAyG7n4bbkkrxq4/1zMDMOaaq6Dp3dA6pWEFdzYiKikZ1j/tNX/Cm5Gerx2G9lAm6Oz4UdZFqVAT2I7FBhuj8Bkjrxv9zTtNlEhQVOKQfOZcKoUbNs46/Fjc+tBUbN5yMV157WWj8dCQKTl966SUkRqUP9PoOSnoWFoRm2ZEa0kVxCsz6dfDfEehvQEubY/omaYrTitknYcmMddiX/RHe+uopzJkzByuXrcbFl10Ao8GIrq5udHZ0Cf92//6i/7/w0nPo7zUKCc7iI0YubxoV0AXNd187ZH8NoYF4JIUb6mzFQTZjImW023dDCuhuRYwqDpU9nInR0QwS4Pbph3GtKh3VgcYxrefNk8JRpmpHsZLK3Yx8M9mvqcf+hHogAfBZqsTS1khMr1IgMrcGkmbbSuVEfPUE6hdej64u46BEXttWX4X/vvBXnHHGGVi/fj2crampCSetPxlRIYnCg5AtKMNsiuwQgnbb32CgrSsEAmwLsk2UCjXWLTwTK2dvgq63Szi+tswjt0WQvwGxn01cltzx0B8ZgnYpB2KuKqPP/rq7U2V+qAafW1dPfiZpPRLo2UWjQnd8OBqitDgc0of9/q0oUtIIL7M8IJQXawowTReJJdUBSCxog7K0Bhin+dBB370E5Zxr0ds7+vpDAyJx1eZ/4IHX/4yZ02fhjbdex7x588a8fZrnTaOwrr76GsihxCUn/23gZ9r6o1OJOmKDABw59t+ENGHWkPUEG+rRggg4EmVYXzpzHRZPX4Nvcz/BW3ufEnKKmFPIlVDIVUIvOP2f7sPnb/jjqPlC6L4b84vjGuk/WxGMTikH2bbiIJsxERRSOVIbSuw+VlPlvhxkj6O704ugMowtcPrCb3gyMjHzwz8IKscHQUDUJB9c92EYZFXih3lTz25K4xfI1iwd9P3F09bgu7yPceGFF2Hp0qUICLBt7rMjUXKVzaduQVNjE/523pNC0CpWaEAfEva/AEXN4THtg7I4G5JZa8f0DEil0ug1XtRqCVJ/ehQSfQ/cWWsMvdc4EHNVU1vtn0aS0duLTxy6N2w8kp/5ZNsWZFMPbM3kcPwYq8Ne32ropeLm7GerG5Cd1AAkAbH6QKyqD8eUg11QFzg2y7esqx0JslIUwnLCUnOZyfNw6/lP4f5X/ojFi47Bff++DxdddKHd03eoEsZ5552PPXt2Y8mME7D9uCvho/E3S3qWM7Bsdbhi4P8FqmYYQoMgbTh6LfSrzgH8HBtkm1A5MbrvL8xcjfbOFsjliiPBtUxp19+epKyAvN72ZxpLOjMT8U4wB9j24CCbMRHS1BGAshPdMg36ZGropRr0SjXokaihk6rRAyXk0ENj7IHKqIPSoIOCXv3dkPd3Y3IvsIeP9LjP03amakUn7loLXPtROOSVdaJ/z2f/Z4g+bg6qWo8GgHRTPfv463HTw9uEslSPPPIInOXPf/o/fPr5x7hh6z0IDxpcP3QkcgWQasxH4O6XHLIP0p4u+Pka0dbumrV+qSTb5Jr3IWuynuTH1VWGj08vPxs7rUyDuK52dPvGQy/TQC9RoVf2+30IKugkakhhhNqoE+5DR+9F3VD0dyGtsxNStRQGo/294Wx8/ZAuxWx5MtRtPZC3dkFKvdpDS4dKJOhNikJxqh++imoVgmVTD+xYetGfjm4HooEbItIRvdexSRuDvn0Zqqzr0dNjvaWUerT/dPZDeHb3fbjkkovx9d6v8chjD0OrHVxay1rvNd03r7v2OijlWlx/xr8wI23hoGWGJj07FDS4bGFjaijCzIJsVcG3kM9fhb5xrMhI05wCfAdPIbOVjxYI+cpBJbuUCjw5j/MK2YuDbMZ+J4EEAcpQ+MrCoDSGor83GN1dAWhq88H3HWqsMY7hAb+FMmjqERLYCV+fNshVzeiXNaKLhh/11kFv4Jq0noAC7X+uNeIGCrQrxAfaMd89hcYZlw16AAkJiMDpKy/Bo4/eiS1btmDlypWYaG+99RZ23XE7Nq+8CNNS5ov6nbAAPRJ+fRbyOttavo3BAZA0jZzwxl/agTa4Zh3ZSdJ8qA/al9TN1XDSM+cLUIbATx4OhTEERroPdQegpdUP9e0qrDOOYU5oEw0jNSA0sAt+fm1Qq9sAeSN0qEebvg6dfWML1NjYvRlSijdp2r2Z4D5fxPT5IrxHDb8+Gb7zb0C1gu4v4u8xtvjn1CJcK0tH3OeOC7QpmE3AYRRQt7kI1Iu784TrkRabiSde/Qd++fVXvPX2G0hNHXkOsklxcTHO2XkOPv/icyyftUGoFkEZzIfylw0OHn8bkoviQIxRGFk/8Df09SHYpxd1ra6bBZ46vVMavnTYiKqiZck4pCxyyLq8EQfZzGtp5b4IU6ZB0hOHpuZI1Df5oKPf8gOMI/rPunQKdNUEAqDX0WFTRokRwX46hIU0QulTgTZDERp73L9HzFvVybtwx1ojbtwdCXlZjehSJyk9vyIPMwZ9f8Wcjfj2wMfCcLfs7P3w8Zm4BHoHDx7Etq3bhYzn6xfvsLo8ZZBN68+G/+7X7Npe8exIJH+lA3SWHw58OymjcjpcTWxAu8N67F0i6ZnWMfVUmThUHzhclQK5PgGtLZGoafBDVd/4jSbo75eittFXeAndlmaoITgitAW+/lXolhajTleCfqNzRwgxoEmuE15QT+wUrKuk6Uj81HGBduC3r0C98A/Q6cTP+6HklfERabjvlZswa+ZsPPvcMzjppJOEnmrKQl5TUzPwqq6uRklJCR579DFoVf74w7b7MC0la8R1+5onPQsNRJ18cND9ZVAtltIwJcPRkR+BunLU2ZiEc6JQqpGMzq+hzf7MIeszhIfg0ST7p0kyDrKZF/GR+yNUmQL0xKOpKRLVjT6oH0vvtINIjBI0t2nQ3BZLj+wAFsDfpxeR4XW/B92H0dhje11U5jwNsm7sWg3c+HEUFKXizp3/d28i9LgMNLTKBw0dO/eEm3DzI2fiz3/+M/71r39hIrS3t2P9iSchQBuCC076s9U5YcLNveEDqPO/s3ubP4d3ITouDOrCCos/11ZkA5GuFWRTttmYzx4Y/w2plKjKSsT+aD1CdHIEdcng39EPn7ZeqFq7IWvpgKRj7GW3+qJC0SnlBI3jSS0E1amQ9sajpTkKVQ3+aKLMiy6AGoKLK6jvjl4zoFT0Iya8Cb4B1b8H3cUcdHuRe9OKcLksHSl7HBNoS3u7kWAoxEFY7402Rxm0bz3vSTz81q3YuHEjYqJi0dBYj57ewQ2ySoUKgb6hWJx5gjD6yloODjUl1PxdRwwlPesYdh/Xx0UMuof7lvwERLlekC2XAxktn0CT+5XD1rl7hT90kvErp+YNbO7J7unpQXZ2NvR6vVB71FJCHjHLkIKCApSWliItLQ2JiYnjugzzTkGqcARhOhrqk1Bd7z9ocJVrPNZY1tapRFvx4KA7NroCelUeqrsLYMT4ZAFljtMo78btq4246ZMoKIvFBdoJua+gKf4M84ZzRIbEYdOy83DvvfdixYoV455tnHoIdpx5FirKK/DXc6lHwHrv+ZTeH8cUYFMQ+Z1PLRZGJSHm6HPPIMrSXGSEJeGAYs6g4+MsKpUEqb8+Na6Jzoz+viiaH4MX4qvQKB89eZzWoMZUXQjm1foisbgTKiovZ+OBaomlhEAcZDuaryIA4bIZaGlKRXlNABrHMuR7AvXqZSiuDAPohelQyPuREFMPld9BVPbs52lOXuD+5CJcvCYd6R85JtAO+OYl+C+/2eb8GjTc+6rNd+DzX95GXXMlAqeHCnOXA31DEOAbIvyrVmpFJwmjxVRmSc/qwi0PAa9K9kOCWZCtLDuAjPAfYZQpAIkURqkcRvpX+L8MRokM3aoQ1HT6juvcbXMKpQQZNe9BXfiDw9bZPiMJHwY6NgGeN7IpyP7HP/6Bf//734iKioJMJkNeXh7+/ve/44orrrBpmb6+Pmzbtg0ffPABpk2bJtRfPfvss/Gf//xn4APiqGWYd85nC5FOR1N9CiqKAmC5X8y9UNCdV5gMIBn+Pj2IiylFj5ICbp4r48qaZTrcvsqImz+LgbLIeqZPRWUBEtOrcbhzcK3m4xdsQVFVLk499VS89957OPbYY8dtn+ka/uZbb+DKzbsQHWq90TJNUwq/z98b0za7UqKgl1aiJMSA0aqp+v34LjKmdyLPdyn6nTiKlW4vkxs/hrx+fB5CaJjeb/ND8VJUCXQScZ/xLmkfftTW4sekWiFbcNAyLZa1RCCzXIqQglpR5eUqwtwj+HOX6UgRihnoaE5FyeFg1LpJYD0afZ8Mh0ojqekPSsUxSIythswnH1U9eegz6J29e2ycPJRYhPNPSEfG+2MPtGlec0rJO/g1dIPN1SLouZ5qSzuCr49RSKhpcijYcl6c3yJ7qFrnIH4/Wr/fRat90DF9NeoCB49OczSVWoKM0lcHZUkf+0qVeHyObeVImWU2nXm1Wo2cnBwEBdGwCuDll18WEvIsXrxYKKIudpn77rsPn3zyCfbv3y/0PFNwvGDBAmGZrVu3OnQZ5j09BWGy6WhtSkXZ4SBUucAw8PHS1qlCbsEkSreEIP9uxESXolOWjTodl1hwRS2yHty2sgV/MkZDeZjmFY8ubO/TqF1yIzo7B5f3uGTjX3HfqzcK89E++ugjHHPMMQ7f1z179uCPf/wjNhxzFuZNXm51+Tj/VoTseWrM2y2LOzLZMMe/FYtFZGOfNrkLuaHHQ693zoiONOVhhw7LM9EnRGHfPB+8FVwCwxiH6VEDz0ASpZnAzO4oTG3zg07aj265AV1yAzplfeiQ6dEu7UW7TI82IaD33GvnRMyvjlZOR1drGoqLw1HvIsPAx6uXu+D30VZq1TIkxlYB2gOo7D7A2cs90KNxRdh5YjpmvFcw5nraqkO/IDFxIYrbzdOKTawAmdkNFsCvvpZH8HztW4MNSiXQ22tzojf/79+EP95EYng8WjJWo1oSO+i+PlYajQRTC56DomqE4V92KliWhBIFd+A4gsRIYwPtRL9KQfX999+PCy64QPQyM2bMEALhBx98cGA5enCkYeYffvihQ5expq2tTRjOTgkU/P2P1M5zRefvPh81nZwMa6hITTLkXXNRWBIDg8H9ewrGIia8FYERv6G8+2eeN+eCUnsDcdnzbUCP9Zt117Tl2K9dNuz7vXod7n75OpTVFuCTTz/BvHnzHLZ/lDBm9qw5iA1Jw/Vn3A0pTbQeRXiAHkmf/BOS/rGPiXtuewx+8KkVHt7ufUYOdFsfgt2bOA25Caegx4YkOo4QHdCF+N13Ony9rbNS8Jd5JUe6yZlbCVZFwK9vAQ4VJwnBpzcL9NMhLj4f1X3fobuPS/94mrMrkzHz3YIxr8eg1CD3mBscGnTaIl1RiKCvnhf+bwwKwNWbR96R27+MgfZAqUO2q5s8H41xC1GrC0Rvr/33LsqBOiXnSZureIipuX7Txi6nlkTdlLYJOzN3wpWJjR3HFJV8//336O3txeTJk0UvQ0O8c3NzhQDZ3MyZM/Hbb785dBlLKACng2P+Yu6FkkElauYiuPNcFOWcjIOH47w+wCaVdQHIzV4KVF+CZNVqIdEbcx2HlC04sEJc+RJt9udCMDeUUqHGVaf+A9GhSVhz3BphFI8jVFZWYsP6k6CQqHHppr9aDbAD/IxI3Hu/QwJso48GP2t/z5YgkUAXFy7q95Ql2cgsfA5a7cQFpf5+RsR+ebRR11F60mJx+9wKDrDdTKx2KiL121F2YBvyClK9PsAmLe1qZOfORGvReUiQbkKoerQJIMzdPBVzGG0zaera2JOgpVXthrNo6g4N/L8zbvS61KUJjkvrTrlLYvbci1n7bsO07r2ICeiAXGHbOvx8jZj668MOD7DJl8uCnRpgexq7g2yK3nfu3InjjjsOS5cuFb1MR0cH+vv7ERw8+E0dEhKClpYWhy5jya5du4TWB9MrLi7OziPAJpqP3E8IHqU1FyM3ZxnKhXJYzNL87ey86Wg6dC7iJaciXH20XBhzrsfiD0OfQHMarYv58RmhLNZQlDH1ms13Idg3EseuOhb5+flj2iea0pMxNRMVpVW48rQ74KuxnKjSRK2WIO23xyHtdkxN3Y6USPRLjrboN0RqRf8uDZObmv0o/IaXQHU4GpqXlvusMAzQkfojQ/HPpa38YOMmFFIlkjSL4dN8EQ5mH4+isgihQgQbPn87rzAJpblbENZzFuK10yHhqQge4cE5jTD6jb2cpDr/G8T7N2Oi0WAhaqQ1qY0Yve7192GO74yjBmqf/Z8ibvfdmP39P5HZ9wMiA3VCpQ4Tuv8H+BkQFdiNZN9aTJHmYUbbx5iy7x7Imhw/slU3KU6YYsQcx67Z+J2dnTjxxBOhUqnw4osv2rSMkuY20HDIrsG9NPS16WeOWsaSm266Cddcc83A19STzYG2awtUhiKgbykKDiWgboQ61my4vn4pDhyilB0JSIhuhDrke1R05fGhciIKJl9aKsP25wbX3rSEbqIpOIh80Pz7wXzUfrhuy79wx3OXYdXKVdj71V4kJ9vWu0CNkZdccileeOF5ZE1diZ0n3AA/bYDVMiFTyt6AvN56EjexSuIGX69LQvqFnPpiyRsqMfnHB1CYdTFa2sbn+hDsb0DKT486/MGGsoc/ePyRTPTMtWnkPoiSLkVRcRpydDZ2PXm5kopQoGI1QgIXIyp2P0p13/C8bTdWI+/EF2sSsPzVsc/bjfzqSdTPvxbd3RM37Yd6gqkn3aQocPQpXL9o6rDD3xeStvGZ/kD74vvT+/DF+4jT+qEvOg3yulLI2hrHZXuWd0KKV+e7QNkOD2PzEwkFz+vWrROC048//nggwZnYZbRaLcLDw1FRMTjnc3l5OZKSkhy6jCUU9NP4efMXc01+iiAkSDei+uCZQos4BY3MPqVVIUKvS2j32YjWpPFhdCLKAF2xRNw5CNj3EoL8Ld/4/LSBuG7LvUC/XAi06don1qeffoqMjEy8/ebbuPjkW3D5KbdZDbCp9X9Kx16oikeejmOPH0IGJ/jKCbC910DW2oBJX92LODt+15q4gFakfrbL8T0HKiVeOCkQRcqRR14x10hmlqQ8Dh0l5yL7wFShljSzT2OLFjk5C6CouwhJmvnC1C/mnqjHs2X22OtF04io1KYvMJH8pYOD5f1+Vq7BEgla0yIwEWRd7VAd+nliA2waQTYvWXg2YY5l0xWOeokpeG5ubhayetPQbHuWWbt2Ld58800hKRqhOdvvvPOO8H1HL8PcM1N4onw9Gg+dhbzCFJ5v7eBguzBnA8J7dghJ45hzPDSpTEgwYo3EYEBi0Tsj5sIK8gvFDWfch+6OXqxcuVKouPDll18KU3Us0el0wkieVatWIVAVib9f8AwWT1sjquRhurwAPr99Ckf35O5X1w/6Xr6yEdCo7XpYi9l9D2Z0fAof8SPORy/TJT+ImN33CmVnHEoqxZ4Nsfhey8ksXXlYeLJqJXrKzkfOgWnQ9XBw7ShNbRrk5BwDVeMFSNAcqTrD3M9/ZtfBGOA35vVQxQiamzxRfLuO1r2m/a9QWJ/6VBDnwQkN1So8kdng7L3wSDZlF6e51d98841Qh9o8eJ40aZLwErtMUVER5s6dizVr1ggB+fPPP4/s7Gz88ssvCAsLc+gy1nB2cdcajhcpWYaCokmcQGaCpCbUoM/3S9TrxqfeLxvZ6tY4rHuxWNQhqj72MpS2D2+wNKltqsATH+5CYWkuevVHMnPT8HFKBDlr1izhX19fX2F4eNGhQzhtxUVYM/900T1JCX6NiPr4Pw4/nS2zk3HLvOHJW+74LArqAvvfkwa1D2qPOQel7aMntBmJSiXB5Prd0BzYh/Hwy/p0PB3NJVJckUwiR7xqEcpKZgj5Ldj4iwxtR1DktyjrdkwiRzZx1jXFY/Urh8e8nn6/IOyffeWEVIuY2fge1Id+FP7fmZmIPy4ePCLWksRef1z1pOUyX+6uYHU6Hkx2nfvRJg/KLm5TkL1p0yaht3goqkltqkstZhly+PBhoaxXWVkZ0tLScOWVVyIqKmrQ7zhqmdFwkO0aPQZximUoLJrCvQVOYJQYkZ5YiU71p2jpHdyryMbXX35KRNCPR7OcjsSg8UO2iHlr/YY+VDWUorSmUCjzVdlUhMOVB9HecaRnOykmHReu/z/EhosfxRAR2IvEPf8QetUd7acNk/BM1PAHtOvyUxD7xcExr183KQtFccej3YZOEsqcnrb/qXHJ3ErKlqfjX+mu80DDjqCkXImaBagonS1kyGYTLzaiBdqwr1DZPfbPPps4//dzIoJ/sH4fs6Zj9vHIUWRhPKnUEszctwuS3xuji1el475Ucdfju98KgKxmYodxjzdDaCBu3tQNncR1Mopv8tYg2xNxkO1cCdqZqC5dhOY2jZP3hMllBkyZdADlfZ9Cb7Bey5mNXXifFje93A9Ju/WM1d0ZS7HfbwWVkrYJXeIb22pR11yFSXHTIJcpbAo407+62+EZtU0eODsUharh8+FOqU/EktfH/tBGjAol6pfuRHFnpNVjR2XTYr94ANKe4eXTHKFlTipumVPMpbpcDE2d0dWtFMogMueblFSJDvVutPZ6Zs+hpwnqV+P/XpNC0jz2nBila/6A6pbxaeQKC+hD4o+PD8qv8clpyXgnWFyD6o25yYj8auw1wl3Jl6ek4vXQEriSTR4UZNuVXZyxsQpRRUHWthp5ReKG9bPxR4nlsg9kIMg/GQkJ36C06xc+7OOsTt6Fb49NwsI3Cq0uq8n9ElMWhiHPmGnTNmi+dWhApPCyxZFSXY+NW4BNLeiWAmyS7d+KJQ7ajkTfi/BPHkZg4jR0xk6DrE8n9GJI9V2Q9XZD0tMNaU8npLqOcSmLYtIfGYJds8s5wHYhPnJ/hPSvRl5uApfhciEFxTFQKnZgUloOyno/R7/RwTkRmEM1y3T46Lg4rH1p7EF27HePozfrQjS2Oi48ofwaKepyhOx5knoWB/0s21d84sncqD7Ydhd1bb0pMS4XYHsaDrLZhFLJ1IiWHou8/DROaOaiaFRBc/ZKJMZOh9F/Dxp6qpy9Sx7tpfBizJiaAG2e9fqU/t+8hpQVwSjqih7XfZLJgCkVbzq0VNdQzcmhNEDQ4s8KlE2AVgN0Oa60FdVFNa+NOtHeXeGLHqnlhHRsYlEugkTVEhw6NBN1PXKu3uyCevUy5OTNQGhgGkLj9qK8K8fZu8RG8WFgOeYuSEPot9YbjEcja2lA6se7ELx0B4p6EqxVurRKo5EgveYDqPO/G/YzqvVdohTfMLA3oBarpNbLb7oFiQSvLrKe8JSNDddPYBMmUZOFvsrzkZOfzgG2m9Q2LcvfImR6pzI2bPw8Pr9TKOkkRthnjyJ2nDOxTtF9B1XRr+O6jYLoUW7wEgl0cRSEe4amuSn4zH/8GiyYeDGadPi0nI/s3Lno7uF+BlfX0KJFfvYaROq3I0gV7uzdYaO4P7NSGKE0VpT/I+TzpzCj7i34+dq/nshAHTJ/us9igE26bbzHtMh60JskPueTq9+TuLrF+OMgm427EFUkQrt2IjdnCWdrdTNGgwS5Byehr/I8JGq51Mp4oVrJB1YkiV4++tP7hPll4yFNVQLfnz/EePsmePSSIfWRDqjD5QKMPho8MoPLozibVu6LOONmFOSciJqGMTy5M6coKotAzcFtSFYex/W1XVSrrBfvHTv2INuEGnqnfHUn4v2bbfo9qQyYrChA4kf/gKx95N+tj7R97ndFogdcO1RKPDHNsxK4uSoOstn4vbkkUiSrV6K6YAtKq+0rpcNcA5Wyyc1ejpj+M4Q65szxnowvgSFc3OeE6jYnff0f+Dv4fh8X0IqQL5/GeOuPCEGZldqkxaGuk+10LH5aFYca+fjMa2fiUANhd/lO5B+O40Pm9nlDpsGn5TxEaBKcvTvMgk8CKtCYleawY0NJKKP3/BvTdF8LmcFHXE4K+PsZER3YhZlVryPwqxesrrs42PaG6l8iHDeFyVkOLU0SVRucjR2PlWLjIlQdg/6Gtcg+5LhWTeZ8BSXR8FGfhcTUb1HS/b2zd8ej9Er68cXSIKx4VVxGXWlnK9L2P47cqedCpxv79mloXfQ41MK2pCGFGhNGn5+c49eKpXD/xDLPRlJ5GJ775gzUIBigOwG52eObw4BNrJoGP0iaTkHmpHyU9u3mxGgu5qHpNfhjvi8kbY6b1uTz28eYHrgfZfPPRXuvCn7KHvj0NUPTXglVbREUFQWQ9NsWNO/3E5/0zORbnxqsmZYEn4omSJpb3fKe9FDS2OuaM3E4yHYTUjd5SBMSyihXIS8/E/39PFDCE3XqFMLQ/5T4SejUvod2vW1DuZxZB9cI165Y+FZIKRZOioO6oFzU8or6CkwtfR37YzehT2/fNimLeErnT/D76B1MlPwo64ljKPkZDbWWdLppz4FUimcXGzwqm7hMIkW/0eA2OUBKDi1ArU58yTrmXlOZsvOnICIkDr5Re1DTfdhtnpEMbvIZsleDrBv7ViVhsYiqGbaQtdQh6aNdDlmX0VeLw0rbg2S91IA/LTpyfw7t98O0zmCktKoR2diPgJpOKKrqAb1rZsOn++mDy3Tol7j2c5An4SjITaSrQuDqwtXx8Gs9F9l50znA9pI5cq3FO5CkWQh3CA4W+cTCHbw633Bk7JtIlDF7auuXdsVy8f4tmP7TvfD7ceICbNrRrwPrRS2ni3PfEn/lS9OwXyPi73QjKzWu/xnyUwQJSbKoIZAaBJlnq230RVHuSUhSnAiFVFzySGdapnX9z5AjvBJejK4M1x3Sr4sNdUhjAiW0fCyuCLfNLMH1a+tx7U4Jvj45Tchc7mo+WReNEoX79b67Mw6y3URWb79rz71WrkXJgVNRVT9yUXbmeSg7b07OIkT07ECA0nXn3WdqIjHdhT9D5n7U1qJhXopNv6PN/gyZ3V8LQ74VCuvRNs1dm9n0PqL33Adph+1D5saiLyZMqA8uRkOke2a1pwy7/00rgyeRS2TYXFMMV5akWSA0/FEDIPMiRqlQtUTRcC6iNLZdOyeSj0yNDQ018BaPzO8QXTVjoo3XvYV6iamBYddmGZrnpsJVVC1Nx7tB1suEMsfiINtNzG4oE3rjXA2V1Aho34nsAxnC8C3mnQ5XhKGleDsStLPgirL6JEhtd59smk9k1gNqlc1z1iib6uxvbsPM1o+Q7FuDQH/DsPrXaeoSTPnsdqgLf4Az1CWJz9NQHOIeDSNDfbwyGJ1SO8fvu6gEdQgi22qRrHG90QVqmRYxhjOQk7OYy3J5sfpmLYryTkKyco1LZiCfqw5HUlMZFFLvmKlJvaa5q8RXzZhI431voYbkv84pwUenJ8EY7NxksVR27J50124g9VSudxViFmn13UJvnCtJ0s5HXeFWVNRycjMGdOkUyMteiXjJJpcbtpfVUIak5gqXbKiypEregYIliXb9LiV/Ued/i/BPHsbkPbdiXv4DmGr4GYl+DZhV9BRCvnja5gQxjpQbKX7b2XYkpnG2tpnJeD/Is3qxSar0SLmbLLjW6IIYzST0V+9EQTEnN2O/z9U+kInAzrMRqBz7kGBHyurWQWY0INENpv85yhOxh6FPdL3a0pRYcyJ8EFiOWzbpUbtoknPyc2g1eHi5XphLziaeezxxsoHeONfpNTgdOdnHoFcvc/buMBdz4FAS5A3nuEyJlbjfe+AU/XrEq93n4eaJpBJh2PFYyVob4P/DO4j8+AHIa508XEwqxdcBtaIXL1S1CMla3IVRrcIjs90jEaCtUnuPNI5kNde40DSl41GQuw4t7bbXu2Werbw6CI2HtyJRMw+u8n6dXXskEViqxHverzR8+vklv9fYchVajZBYcyLrh++adhivnxEHQ8TEPoN8dkI0ipTu11jtKVzoXc+syWpw/nyKaE0aDDVno6DYO5J3MPs0NPugJG+TUCfd2bKkRxOQpErcJ2DTSfrx1VL3aRQQozc+Ai2yHpt+x52Sn+WuTPTY+qOpbQ1H/m0oQZDCwQXa7ZimFNhB05SmCvNxGbNE10OVMJYiDqdBJXNuYJuhiYRvT6fw/9Re266B7u4Xbb2QCNKlkp45oVf5S78q3HxSByqWpk/I9quPmSRULGHOw3cnNxLZVod4dahTk5sdyluP5jb3CVSY8xgMUmTnzkK47iz4KZw3pSCr5UhwQFJdtLTGSF4PKxXqWnqK6iQ/m3+n3k2Sn/XFR+LJWPcoI2RP0rOE5grh//RoOFcR7PRpSuU1PE2JiZNfFA9J3U5EapKddsiy+o8GVe6UH8RRHkorhSHcNRqNGyK1Tm08v2tKEd7ekjCuc7X1CVG4ZyoH2M7GQbabyZJM/MUhQBkizG/i5GbMHsWVoWgr3YF47bQJP4D+ci0m1xe59cPNa1QhzUNqLedE9Nr8O8WhbpD8TCrFK0tlHlt/lJKeKQxHG6jmd3VM+D4opSrEGTfzNCVml8YWLQ7nbUSSapVTjmBW/ZHayiShqdxrkp+ZdEn78N5K2xtZx0NpiPPnJ3/qX4G/bepHy+xxyIavUeORFXr0Stzg3unhOMh2M1mtR3vlJkKcNgMtJduE+U2M2aurW4G8nNVIUpwwoVlf56hCITUeDXzcKfmZyXc+tWie47plaUSTy7DPT/x8bHdKfla7IFU4T57KlPTMZEbNoQkNEkLVMZA37kT+4bgJ2ybzzKRoOXkzEaXfDo184uoYx6iCEd12NJeBtyU/M/kkoAKNWc4fNp7j7xq1optlOtwyr1Soq03zxB2BcpjsOTFayGfCnM+9njYZ0uuLhN658UaBUJJyLQ7krBECJMbGSmKUICd/CkK6d8BXMTElLeZ3Da7H7G7Jz0yenN7osvVGxTD6++Lw8lS7ylodUrp28jP62/47tQqezJT0zETdp8MM9cRUu0jUZqG64DTUN01cUMQ826GyCPRXn4VIzcSUl8qSDc9h4E3Jz8z9Z3o1+qOcl/WdhlEfVE1c0jMxqK72vVu00E0aQyOiQo6KZen42xkyvBfsedUt3BUH2W6GeuXmqsb3AkUBUGj3mcg5kCEERow5UkllCLrLdyBGkz7u80hn1RzJ5mrOnZKfmZQp2lG4zDXrjY5Io0JjVirePz0R123pwb9Tjg7bt5UuPhyu6ttVUUKPhCczJT0zl6Uf3yGXcqkCCdJNyM1ewlUsmMNRbpmSAxuRpKbU1+Mrq3V4UOdtyc9M6Fr5wFojjAETP3S8Jy0Wt61uhUHimjXFb15ejQNr04WAWTSJBM1zU/Hv7QG4a3KRx9+L3I13TQrxEFldXfh0HLOH1xavQW2napy2wBjQ1qlEe946ZEyOQ3HPx+NySDI0EdDqj86DM09+tscNT8J/Ew9jV0oMlEWVcFkKOdqmxuPnVAl2B1eiS1rikNXWRaqQcAAuh3oeXgovhiczT3pmbl5dMaX5Hrfs4Yb6k5BX7z8u62eM9PdLkZObhUlJ0WhQvIWefscHKL5yDaZUHhr2fSE/iPu19zrEYWUrntsQge0v9wA9tufpsEfX1AT8fXGdXaOpJgoF/w8nFMHnbAUWtcdhWq0SkSXtUJbWUCbZYcvr0uPwapYBP2odc59ljsdBthui3jl5ZCj6jI5NapCsWoWcvBnCvCXGJmZ+3AykxkeiRfMGuvuOlDcZ77rywsONG47Uo6RaDy/tweVVaqDbxVqrpVIUrUrDMwkVaJE5fqhacUg/XKPquhmZDM8snJgHROcnPRveWBXa2YiU6Jko6q5z7Pa0M3G4YKlQfomxiUAlSUODzkZo9Dto0Dm2EXOOKgwy4/BRPELys7hY6M0SCnqTH7W1CN0Yh7WvlFoMIB2pfXoSbptfhR6peyQCo4aAPQHl2EOz6iYB/gYNFrWFI4OC7uI2SAwGfLxIiw8Dh1+XmWvh4eJuSKvvRqbGcfPh1DINovq2ITtvJgfYzGnz4yI0iRNSV94dk5+ZFClbsG+tayV/Mvr64L3NCbg/ucjmGthi7XfB5Gely1KRq3a/bPVjTXpmbp5R7dg8IIoTkZe9igNsNuEamn2Euf+JmiyHrjeru9vi9701+Zk5ChJ/PDF1XLfRMicVtyyocJsA25I2aY9wrO5OL8L1a+tx3QmNHGC7Cfd80mTIclDjZ6gqGtL6s3GodGKS2DA20vy48vyNQg1cR6B68lRX3hJ3TX5m8nJ4sTAHyxVQEpn7NquFVvfxHl5o9HVebdOhDGFBeDjFO2qQDk16Zm5+89GMyWOhlfseyQOSP755GhgbTa9ehtycJUiUrXdIFQxqzJ1TM3youLcnPzP3bNRhFK8cn899/YI0/G1OiceWVmSuj4NsN5VVX+KQYXnVhZtR3+w6D6/Me+n7ZEIN3ETZSWN+wLFWT94dk5+Zu3dmFQyhzi2r1zA/DX9e0yQkbJkI3fFhcBV7VgYKdV+9gaWkZyYpjSUIVowtgVGEJgF91TtQXOm8jMOMmcstmCRUwfCRjy0nQIYmEj69I0+D8tbkZ0Pdl1YkJMl0pKol6fj79MMumeSMeQ8Ost1URHu90FtnDwkkQnmu3JyVnLWVuZzcglQEd42tzJe1evKU/Mydtcp68eoaX2Eu9ISTy/Dzhkm4bWYxdJKJG4JXH+EayRjbZiTjAy+ZCzdS0jMTen6dp7S/sYeG5pbnnyyMZGHM1apg9FZtR4Q60eF5QQblB2GCO2aUoXuKYzJvUM/4P6cWCZm3GXMmDrLdmLXeOkvUMi0i9Nu4PBdzaaVVIeip3G5XHVOqI0/15D394WafbzWKVqZN6DaNwQF4cUsU/hd1GBONkp85nUqJx2e73vzw8U16NnqD1LyOdvvmX8vXC0NzaQQLY66opV2D8oMbkaSxbxpTVsPojXFC8jMp5x8meqkBdyyuR19cBMZS7eHtMxKEnnHG3DbIrq+vR3V19ajLdHR0oLCwEN0jJH2Y6GU8kbXeuqFC1TGQ1p+FojL7L2KMTZSWdjVKqY6pZoFNv0d15Kme/GjcOfmZuQeTD6M3JWZCtkXlQv5xMvCtj2Pm4drqq8A6GMKD4UwHViahVNkGbzFa0jOTmbWHoJSKzwTuI/cThuLmHJw0xr1jbIKmMeUcgwQbpzHFqIIR1Tb6tZKTnw0fofWv43pQvjzdpms9led6bWs8blxRjU/9XbjEJfM6Nj1lPv/888jIyMDUqVMxa9YsxMXF4fXXXx+23B/+8AeEhoZi+fLlCAkJwZ133unUZTwV9dZRr50YCdpZQuZMnn/N3Ekf1THNWYwE6UbRDzhUR94aIfmZB2R2NZX1gmYcE+hIJChdMQl/XFaDGrljy6zZokHWjbvWG9AXE+6U7dNQxsfiJr4H31WTnpmo+nowQxMhev51b9WZwlBcxtxJno3TmOZLfUUtlypxjWkwrqJK3iFk0b7m5DY8e2aMcO8xRFi+XnRkJuLF7bG4eUkl9vpVTfi+MubQIPvnn3/Gq6++KvRk19TU4Morr8SWLVuQn58/sMwTTzyBBx54AF9//TUqKyvx5ptv4qabbsIHH3zglGU8GfXWzVNan5edrFyLvGyef83cV15hCkK6dghZiK3NIaU68mKkyjxjHui4lvXSavDxacm4Z9Jhl8jQSg9gu9Z2ozcpakK3q0+IxK5jGlziGLhK0jNzWb3W69wmauYJ869pCC5j7juNaRvC1fFWl81qEzclKa231wF75rm1tOnec83GVjy1I0qYa90fFYq2mcl45sxo/GlxhdNGVjEmhsRotDKuchT9/f3QaDR48MEHcd555wnfmz9/PqZMmYKnnnpqYLljjz0Wvr6+QhA80ctY09bWhoCAALS2tsLff2yZJMfV/04CWocnoNkXNx27jJYfhBRSJcL1p6CgJHoCdpCx8Rfs3w3/uLdQr7M8JGymNga3Fvwgal3vJ83FQ3rPaf3+869JCPlOXAODGDQ37pFVBhSomuFq/A0q3PxFMNQF45+AjIYt3nliP6oVzuvFdwZqsHq5strqnGzS6BOMs4PUIyfaVByP7Pwp47CXjE08paIfqZO/RGnXzxZ/7ivX4NnSYmE4uDWHQxJwpUY/DnvJmHvalLYJOzN3wpWJjR3HNCmxoKAAer1eGDZODAYDfv31VyH4Nbdo0SL89NNPE76MN5hVUyA8DA0VqAyFpuUsDrCZR2lq06Cq4DTEa2eMuX68JyQ/M3frzGJ8fXIqjP7ihimOhsqp/N/aVpcMsEmbtAe3LK9Dx3TbE+PZgo7lf0+QeV2ALTbpmUlIZxNSNMOH8atkakT2beUAm3lcPe287BXCKEFL5qrCRAXYhJOfMea57A6ye3t7hd7rOXPmCL3HpL29Xfg+zY02R183NDRM+DKW9PT0CC0Q5i93ptHrME0TOeh70Zo0tJaegep6F+6ZZ2wsDzg5q5CsOnLdsbd+vKckPzP3SngJ/rYZqF2UZl/5EoUcP6+fhFtnlbh8HWgqH/aXBRVonuvY+qoDVEq8cFKgyzY0uELSM3NZGLx8oDIMyqazcKh08P2JMU+RfSADMf1nCKMGzWV1iU/Cy8nPGPNcdj1h9vX1YevWraioqBASn8lkR3pS5fIjpQgo+B0a2CoUiglfxpJdu3YJXfyml6kX3p3NM3sWTtIsQlHeiejoGnzRZ8yTSIwSZOfNQKxhy8ADDtWNp/rxYnlK8rOhmmU67JpWjJe2xdhUDoXmuj13egT+F+0+yb1ojvSts0tQu8jBmaqlUny4MQbfa713vp+YpGfmspqOHqsYTTqaS85ATcPYR1Uw5spoOh6NGgxQHrmXUMPtnFrbpu1w8jPGPJPUnnnY27dvx/fff4/PPvsM8fFHE0D4+PggKChoWHkv+toUzE7kMpZQYjQaQ296lZeP/5y+8Ta/vkTIvJwo24CcnIUwGDyrd46xkRwsjoFP6w74K4PsqhvvKcnPLPnGpwZ/OL4JuSekA+ohGWylUiEAr1mchr2bUnHPzmBcu6EFP/jUwt0YJMCuaYdRujLdYev8dkMKPgx0/3vDRCQ9G1i+sQTBSj8kaRajMG8durrFl/VizJ3RqMG20q3CKMIMTSS0vdYrXJjj5GeMeSabojFTgL1v3z58/vnnSE5OHrbMihUr8P777w98TXnV6Gv6vjOWGUqlUgmT1M1f7i5E1434rjORW5Dm7F1hbMJV1gWgs2w75nRIx723zt1QT++jcUX411YtGhakCYHoh6cn4a/naHHdCY24I7MYr4WVeETt53vSivDytjj0pI6tbvjBNel4MaIY3ozyfCQ0D0+0ORqjRIbZ3auQk7MARmr5YMyL0OhBGkU4Xzf8udiaFA/LD8IYsyO7+I4dO/DGG2/gueeeGxRgh4eHCy/yyy+/YOHChbjiiiuwfv16PP3000LZL0pSlpiYOOHLeHp28W6fGNykPw/721143xmbAD6yfvwn4l0kNH4p+ncKQpNwrbpnXPeLTbx1TfFY+XU7ZFXipw+Q6iXp+MfUIng7SmJ2b+GvopfvV/jiAfUFeLNhbA0cjHmCm2N+warGFyAx9otavl8ixWlxsdCLTDTImCfb5K3ZxXNzc5GQkICbb75ZqI9telFgazJr1ixhGHlhYSGuuuoqdHR0YO/evYOC3olcxpM1BM3E2R2XcYDNGIDOfhl2Vp2Er0NPgxESr01+xoD3gstww4kt+GHDJBiDRmmAlEigj49ExbIjPfx3TuEA29akZ9TQe63kWg6wGfvd7ZWz8Kj/pehX+Ig6Jpz8jDHPNKY62Z7AXXuy88PW4IrKY9Fn5ACBsaHOjijC9vYnIO3XWT04V6TOQLHOth5P5j58DArsKI1H+ldlQFc3+iND0ZAchAPRBnwVWIcGmfhMwN7iUkU01hb/KKqh99Km01Hfy4k2GRtqnn8z/iZ7HKquwbmDLHlw0gJ80FXGB5F5vU0e1JN9JEU3cxs07+2j4O34Z8V0Z+8KYy7rqdoUFAVejT/iMSi7660mP/PuGbierVOqx0NJRQiN10BtCEKFogUAvdhYkp4dCF2DK6u4oZexkfzQFoRzVJfhP4HPI6gl12rysw/4UDLmUbgb1I3QvLcH/a7AP6s4wGbMmr0tobig50q0BaR7dfIzdgT1WFco2vlwjDHpGTX0fhCyA5dWHscjqRizorpHja31Z6EodOWoy3HyM8Y8DwfZbqJTE43rpdfgtfpYZ+8KY26jrFuDbY3noiz0mBGXSeXMrowNSFCHQDFCAiZq6P2P3xW4s2oGHzHGROoxyHB+5Tp8FroVxhFygCQ0lUMh5cGljHkSDrLdxNUd2/FrW4Czd4Mxt0yIdnblydg3QkI0Tn7GmPWkZzqfIw29b3BDL2N2ubVyDh4PuAwGuXbYzzj5GWOeh4NsN9HVzy2cjI3FnyoX4Nmgi2GQDQ4iFP16xKtC+OAyNsL0icag6Tir43Ju6GVsjJ6vTcDN8mvQo40Y9rNUiYqPL2MehINsxpjXeLImBX9TXY1edeiw5GeMseFJzw6GHYczas/kDOKMOcj3rUE4r/sKtAROHZb8jDHmOTjIZox5lS+bQ3FxLyVEmzTwPU5+xtjgpGeU4Gx3yJm4uGINJzhjzMEqdWqcUX82DoeuGPgeJz9jzLNwkM0Y8zrF3VohIVp5yGLha05+xtjRpGf9Ch885Hc57qiayYeFsXFMiHZe5Yn4IvQMISEaJz9jzLNwkM0Y80qd/XKcVXUyvg09BYnNFZCNkPWVMW9KekYJzv4gvRav1sc5e3cY8wp/rZyLJ/wvhUSmQiLnB2HMY3A2LcaYF5Pg5spFODcyHHHqb1HSXevsHWLMafwN4djZsQG1vZyAibGJ9FxdIg4HXINY2TcoBN+HmPeSWKgC466464Yx5vUer0lFS916+CmCvP5YMO+UpFmM/+Ut4QCbMSf5pjUYXxQeiyhNCp8D5pVitOlA+3x4Cg6yGWOMEtHUBaCrfDsiNcl8PJjXkEqkSJRtRE7OAhgM/EjAmDO1d6lQfGADkjQL+UQwr5KsWYLC3HXo6VXCU/AdlTHGftfWqUTpgZOQqMniY8I8nkbugxDdmcgt4J4zxlxFf78UOTmLkCRfLzSCMebJpJT0T3oysnOyYDR4zlBxwp9exhgz09cvRW7OEiQp1nnU3CDGzIWqomGs3YGSisE14xljriHn4CSE9WyDWqZ19q4wNi60cl+EdO1AXqFnjiDkIJsxxizIyZ+MSP02qGQaPj7Mo8Rrp6Hm0GlobOGHd8Zc2eHycEjrz0KIKsrZu8KYQ4WpY9BfvQMlVSEee2Q5yGaMsREcKouAvOEsBKnC+Rgxj5CsWokDOceip5eLizDmDuqbtagv2ow4bYazd4Uxh4jXzkBVwWloavPsTgwOshljbBR1TT5oOrwFsdrJfJyY21JIlYgzbkZ23izAyLd+xtxJd48c+TnHIVm9wtm7wtiYJKtWIy9nFXr1Mo8/knynZYwxK7p0ChTknsAPOMwtBShDoG3ZgfzDcc7eFcaYvYxSZOfORqxxs9Boxpg7UcnUiOk/A9l50yExeke+Gw6yGWNMBMp6KTzgGLbwAw5zq7qjrSVbUVUf4OxdYYw5wMHDcdC2nIVAJSctZO4hWBUBReNZKCiJhjfhIJsxxmxwsDgGGn7AYW4gSb1MqDva2c29Xox5kqp6fzSXbOVpTMzlxWmnoaFoC2obfeFtOMhmjDEbVdf7o6WYHnCm8rFjLjv/Oid3rsfVHWWMHdHVbZrGtJIPCXPZ+dcHclYLOQW8EQfZjDFmh05hnvZafsBhLoWGkNJQUp5/zZi3TGOaxdOYmMvNv47u3+pV868t4SCbMcbG+IATYzid52kzp4vRTBaGkNJQUsaY9+BpTMzV5l8XlnBtdw6yGWNsjAqKY6Fu3okQFd9UmHMkqVahMO8EYQgpY8w7pzE1F29FvHa6s3eFeakE7SzUF53ulfOvLeEgmzHGHKCmwRc1hacjUTuHjyebMBq5DyL125GTN5PnXzPm5ajcZF7OsUhSnACphB/x2cSg91qSfD3ysldC18MNvSZ2fwJ1Oh0MBsOoy1j7+UQvwxhj46lXL0Nu9nIkyjZCJpHxwbaBj0zNx8tGkZok9FefhaKyCD52jDEBzYHNyZ+CkK4d8FVw6T5byCUyqLkGuU0ClMEI7DwbOQcn8SdwLEF2a2sr7r//fmRkZECj0eD5558ftkxnZycuvvhihIeHQ6lUIjo6Gtdffz36+voGLffoo48iPj4eCoUCqampePXVV4ety1HLMMbYRMotSIFf206uY2qDVaoIDrRtkKQ5BiUHNqK5TWPz+5Mx5vlKqkLQXb4DMZp0Z++K20hTh2GKOszZu+E24rQZaCnZjvLqIGfvivsH2RRUHzx4EC+99NKIy9xwww1477338Nlnn6G3txevv/46HnvsMdxxxx0Dy7zzzju49NJLcdddd6G9vR3XXHMNtmzZgu+++87hyzDGmDNU1gXw/DgbTOtqxxRVyPidEA+hlKqETMI5OfPR38/DQRljI2vrVKIwb51QSolZlwElMgx8XbVGAgmSlGtxIGcN5wEZhcRoNBrt+kWJBM888wy2b98+6PtLlixBenq6EFibrFu3Dj4+Pnj55ZeFr1euXIng4OBBvc4LFixASkoKnnvuOYcuY01bWxsCAgKEXnp/f9fNyLr9se9Q1dLt7N1gjNnIKDFiWno+Svs+hMHI01pG8nx9G3bHTsVTPRX8HhtBqDoGXdXrUd/kw8eIMWaTlPhatGreRHdfBx+5EdxiCIC6T48blV18jEZAUxA0HRtRUhE6Lsfo9HlxuHBZiksff7Gxo8Oba3bs2IEPPvgA33zzjbDx3bt3C/8/88wzhZ9TTE89zcuWLRv0eytWrBCWc+QyjDHmKvPjgjvPQoCSe2otiVeHwK+nA5ltDRN+ftxFkmYRqgtO4wCbMWYXyt3QV0XDx3nu7EjJu6bUl2BSYykUUjm/yyyI1U5Bd/mZ4xZgexqHv4vOO+885OXlYdGiRUJvN71uu+02rF+/Xvg5Devu6upCWNjgOQ80h7u2ttahy1jS09MjvMxbIxhjbLyVVgdD07QdyZO+QknXT3zAzWRKj5T7SG0ogSouDj0GPR+f32nkvgjq2YCcHC4Pxxgbm5Z2DVpy1yFzcjJK9bt5dJWZZHUotPojI6nS1WHI6armt9vvKJFrvPx4ZOdMEjoOmDgO78m++uqr8fbbb+PXX3+FXq/H3r17cc899wjzpkfLBk5fU0A+HsuY27Vrl9DFb3rFxcXZ/Dcyxpg9unvkQvbxOMmpUHE27QGZ3Z3CvzKjAZM56cyAGG069JVnobCEA2zGmIMYpcg5kIHAjp0IUoXzYf1dBo5WuMgwchkqkxBVFHxbz0FOfjoH2M4MsinAffjhh3HVVVdhxowZkMlkQo/2+eefL2QlJ35+fsL87Lq6ukG/S19HRkY6dBlLbrrpJmEYu+lVXl7usL+fMcbEyD+UAGndTkRqkvmAUZDdePQ6nGngYXpCzVHFOhTknIDWDi5txhhzvPKaQNQVbkWSdj4fXqGx9+hc9cz2Fj4mv09Tqik8HVX1rpuzymuCbOpBplJaQ8t1UY+2SqUaWGbx4sVC9nFzn3zyifB9Ry5jCe0HTVI3fzHG2ERraNHicN5GIesrZer0VlGqIAR1NQ98ndHeBG8WrIqAfxv1GkwWepwYY2y89OplyMk+BjGG06GWab36QGfUlwz8f3JDCWQSqVdPU4ru34qcnIXCe4TZR2prT7VOpxNepuCZ/m8KqinwPfXUU3H33Xfjiy++QHNzs5AE7ZFHHsFpp502sB6qm01lvuj71dXVwhDu/fv3CyW4HL0MY4y5KqNBguy86Qjp9t6kaJlyv0FfpzeUQC7xzpt6kmYhagvPEMq/McbYRCkojoWh5mxEa9K88qAnqEOF5Jsm6j4dUr106hJPU3JSkE2Bc2BgoPCiHuGLL75Y+P/ll18+sAwNC6dM4hdeeCGSk5OFQJhet9xyy8Ayxx57rFBii5adPHkyXnvtNaHmNQ0xd/QyjDHm6kqrQtB0eJswNMvbZP7eaGui7O/FJI13Pdz4KYIQqd+OnJxF3GvAGHOK5jYNCnNPRJJ8PRRSpVedhQzp8F78DBwZgestlFIVEqQbcTBnHU9TcnadbE/BdbIZY64kKaYBvf7voaXXO8pZPd6qR3h7/aDvPZM2Hy93l3tN73VRYZaQFI8xxlxBaGAXgmM/QWV3AbzBDZJQLCnfP+h7P0RPxd+kLV5TmquudIXQ0OJsp3OdbMYYY+OhuDIU9Ye2I1mzxOMPcJgyYFiATTI6PL+0Ik0PiOjZIfRec4DNGHO1nCEHc08Uejaph9Obkm+aTG0o9fh8KWqZBgnSTTiYfYJLBNiexntn9TPGmIuiRCPZOVkI7T7bo0usZCgszz2e0lAsZNj2VMmaY9Bw6EwcrvCuYfGMMfdB9ZDzClOA2nMRq50KTxU9JPmmiU9vJ5I0ofBUcdpM9Fefg7zCJGfvisfy3KcYxhjzgLnatQVbkaxe7pEt6pk9eovf1+h1SFF73sMNNZiE6c5Gds58nnvNGHML1MN5MPt4xEs2CT2fniZD5jfyzySe9/dSFvl4nIb87DVoaecSkeOJg2zGGHNh+j4ZsnPnIKjzHESoE+FJMpsqR/4ZPOfmL5PIkaQ6VqhJW1LpnVnkGWPu7cChJPRVnYNE7Vx4kswe3cg/6+qEJ0nUZkFfeS4OFMU7e1e8AmdaYYwxN1BeEwjUnoypqaWol+5GV9/RciPuKFDhi5i2kZPqZHS14w0P6LyP005DQ/kxyGnx7hq0jDH319qhRmv2MiTGZAKBe1CvG7mh1BMaezMaSoFQX7i7cHU8+pqORW5RkLN3xatwTzZjjLkLo1SYP9VZeo6QGM2d5y1nKEe/2Wc0lLj1EHkaGk5lufKzjxOSCDHGmKegETmlB05HomyDMPzY05JvmgTo2hCndt/RRxq5j5C8rjjvFJRXc4A90dz3CY0xxrxUl04hJEbzbT0X0Zo0uKPMXsOoP/ft6USCGz7cUH3ZJOVa1BzchqKyCGfvDmOMjQujQYLcgjT0VJwrlCJ0x0bRTHmA9WWk7teTTeciSbMY3aXnHkleZ+Rwzxn4qDPGmJuqrvdHYc4GxBk3w0/hXq3UmS3V1peRulcPSYJ2FlBzHnIOZKCvn2+vjDHP19GlFEoRBrSfi0hNMtxJRm+v9WV03XAnUZoU+Ledi5ycBejUKZy9O16N52Qzxpibyz8cB6XiLExKKUSN8Qt0u/h8bV+5BgnNRVaXy+zuwrtwfbGayehqWIy8okBn7wpjjDlFZV0AjPUbkZ5QhR6fvWhwg/namU1V1pdpLAOCXD8RZ5g6FvKOZTiUE+nsXWG/4yCbMcY8pLZ2Tv5kqJSpSEvJR3X/l9D1u2YL/FRlCCSwHmRnNJQBIa7bmx2tSYW++RgcLHK/Ye2MMTYetbULSmIAyWZMTqpEh/pzNPfUuWXyTZOQziZERk5FTU8LXFGIKgrq7qU4mBcjHH/mOjjIZowxD9LTK0fOgUxo1elITs5FhX4v9AbrQ+ImUmafUdRygd0tiFHForKnCa4kQpMItC5BYVG4s3eFMcZcj1EqjLCSSLdjcnIJWhVfoLW3Ea4k00ryzUHLyv1dLsgOVIbCT78cB/PjhfnxHF67Hg6yGWPMQ5Oj5eTNhK92KpKS9qO8dx/6DHq4gsy2evHLynxRCdcIssPUMVB0LkNhTpSzd4UxxlweBX9UX1smS0B6ymE0Sj9Hh74VriCjt1/8sroefAzXQPlXgg3LkX8wEZUGzv3hyjjIZowxT09KkzsX/j7TkZyQj9r+79DZ1+a0/dHIlEimOW4iZep0+AjOFaOZDEP7HBTmRfBwPMYYs1F/vxR5BalQyJOQllSGTuV3Tp+zndlSI37Z5krA37khU7g6Duqe+SgsjEMNJ9Z0CxxkM8aYF2jrVCI7bzrkskykJZVDp/oedTrxwa6jTFaFQWYsEb18ZlMFjYuDM0pxxarmoqFmGgqKjpRw4eF4jDFmP32fDHmFSQCSkBjTAE3wLyjvyoYR4qYQTXTyTZPItjqEhk5GQ+/ENlBLJVLEaWags3EGijn3h9vhIJsxxrwIlZY6cCiBCk4hIaoJPqG/orz7NxiMo9etdpRMG1vgQzsaEBE+BbW9EzPEMEAZjGDjAhSXpCKHy58wxti4KKkMBSpXIyRwMaJj8lCl/37CknVmqMQl3xz0O4pAfDFBQbZapkW0YgEqyicjr00zIdtkjsdBNmOMeanS6mCgeiUC/RYiMe4gGo2/oLV3fOc/Z7bbnvwmQx4wrkE29RZEaybD2DEdhQejUWXgPmvGGJsIjS1aNLbMhVIxC2lJxehS/Io6Xem4bjNDZPLNQb/Tq8cXGF9UZ1zVMx2HihORrZeN89bYeOMgmzHGvFxLuwYteTNhlMxAfGQzAoIPob5/v8MT1CilCqQ1iB8qbpLZ24tP4XjRmjQoejJQVhmHg10TPySdMcbY0TKUuQWpAFIRGtiFyKhitEv2o6HHei1rW2W21Nv+O83VwJGZQw6vb+3bPw1VVUko4l5rj8JBNmOMMQHV2CyvDkZ5dRYk0nlIiGqAb1AhavT70d3XOeajNEkdCoXB9h6KzKYqwN8xWVQjNUlQ6zNRWZmAwg6VQ9bJGGPMcRpatGhoyaD+Y0SGdiAs/DCa8ZtDam4LyTebbM9HEtdShYCgNLTqOx1S29rfOA11tckoafIZ8/qYa+IgmzHGmMXSKyWVYUBlGKTSBUiiJDX+ZeiSlKCuu8yuRDWZBoVdRzqqrQbBoelo6m23+Xc1ch+EKVMh641HdW0silq0du0DY4yxiVfT4IuahukApiM6rBXBoRXQy0tRqyuC3tBr8/qm2Jh801yGMhj77AiylVIVwlUpUPQloLExDmX1fnZtn7kXDrIZY4yNymCQoqg8nIqIAJgLrVqP6IhGaHwr0YkS1PeUiUqcltnRYveRzpAHYq+IIFsj90WYIgXS3ng0NkWiutEPDUaeY80YY+6uqj5AeFEPt1RqQExEKwICqqFXUNB9SFTQnTGGnBsZegP2iVhOJVMjTJkMRV8iWloiUVkXiGbO9eF1OMhmjDFmky6dAodKI2nwNYA5UKv0iIlogkbbDMgb0YMGtOpr0dl3NCiWSaSY3FBs95HO1Pdj75BkZYHKcPjKwiE3hKK/NxBNzSHDgmoOrxljzDMbf8urg4QXMBUSqRGx4a3w82uETNkMvbQB7X11aNM3DmoEzmyzPfnmwO+21gKawfehAGUofGURkBuCYdAHo70tGBV1AWjioNrrcZDNGGNsTHQ9ChSVRQCg11HU4x0S2Akfn1aEKDpQHFgOjbEHKqMOSoMOCkM35P3dkPXrIOvvhlEiQ79cgz6ZBnqpBnqZBj0StfBS9IQgSTUbuu4AtLb5o6FVg3YLDzEcVDPGmHdOcSqvCQToZUYmMwj3oQC/DqjULejpqcWh0ASo6F5k0EFp1An3oSMvHa0J/XQPkh25F/XSPUiqhk6iQSfUSJZHQtcTiNY2PzS2atFuY1lK5j04yGaMMTZuPd5dwgPPkYeer0GJbBhjjLGJ0d8vRV2jn/AConAtpvChZxOCm18YY4wxxhhjjDEH4SCbMcYYY4wxxhhzEA6yGWOMMcYYY4wxZwTZ/f39eOedd3DCCScgMjISr732msXlWlpacMMNNyAzMxPTpk3Drl270NfXN2iZDz74AEuXLkVCQgKOPfZY7Ns3PCm+o5ZhjDHGGGOMMcZcLsi+77778PDDD+OSSy5BbW0turu7hy3T2dkpBL3ffvstHnvsMbz55pvQ6XR44403Bpb5+uuvsWHDBpx44on48MMPMXv2bCFAzs/Pd/gyjDHGGGOMMcbYRJEYjUaj2IUNBgOk0iNxuUQiwTPPPIPt27cPWuaWW27B/fffj8OHDyMggArGH0Gbod8hFBRTrzj1QptMnz4d8+fPx6OPPurQZaxpa2sT9rO1tRX+/v5wVdsf+w5VLcMbNRhjjDHGGGPM3Z0+Lw4XLkuBKxMbO9rUk20KsEfzyiuv4OSTTx4UYBNTgE327t2L1atXD/r5mjVr8OWXXzp8GcYYY4wxxhhjzG0Tnx06dAiJiYk455xzkJSUJPQq33nnndDr9cLP29vbhRaAiIiIQb9HX1dVVTl0GUt6enqE3zN/McYYY4wxxhhjLhlkU4Kz2267DTNnzsTHH3+MP/3pT0KQfeONNwo/N41Ol8vlg36Pvqah345cxhJKwka97KZXXFycA/5qxhhjjDHGGGNsHILssLAwLF++HFdccQVSUlKwfv16XH311Xj66aeFn/v6+kKtVqOhoWHQ79XX1yM8PNyhy1hy0003CWPoTa/y8nKH/e2MMcYYY4wxxrybw4PsBQsWwMfHZ9D3KCDu7e0Vep9pXvfcuXPx1VdfDVqG5lFnZWUd2SkHLWOJSqUSJqmbvxhjjDHGGGOMMZcMsq+88koh27cp+VhZWRkefPBBbNy4cSD52WWXXSaU9Nq9e7cQeL/wwgtCfetLL710YD2OWoYxxhhjjDHGGJsogyc0W0HZvE877bRBQe51112Hbdu24e677xa+t2LFCiGo3rx5M7q6uoT50aeffjruvffegd+jryn4pmUoEZmfn59QcmvZsmUOX4YxxhhjjDHGGHPJOtk05LupqWnY97Va7bBh17RamvNMycXMy3eZowDcVGtspPJgjlpmJFwnmzHGGGOMMcac63QPqpNtU0+2UqlEZGSkqGUpsA4MDBx1GZlMhqCgoAlZhjHGGGOMMcYYc7s52YwxxhhjjDHGmLfiIJsxxhhjjDHGGHMQDrIZY4wxxhhjjDEH4SCbMcYYY4wxxhhzEA6yGWOMMcYYY4wxB+EgmzHGGGOMMcYYcxAOshljjDHGGGOMMQfhIJsxxhhjjDHGGHMQDrIZY4wxxhhjjDEH4SCbMcYYY4wxxhhzEDm8nNFoFP5ta2uDK9N3d6JP1+3s3WCMMcYYY4wxh+vubHf5mMy0f6YYciQSo7UlPFxFRQXi4uKcvRuMMcYYY4wxxtxAeXk5YmNjR/y51wfZBoMBVVVV8PPzg0Qigau2mFBDAJ1Mf39/Z+8Os4DPkWvj8+Me+Dy5Bz5ProvPjevjc+T6+By5hzYnxUfUP93e3o7o6GhIpSPPvPb64eJ0cEZrhXAl9AbiINu18TlybXx+3AOfJ/fA58l18blxfXyOXB+fI/fg74T4KCAgwOoynPiMMcYYY4wxxhhzEA6yGWOMMcYYY4wxB+Eg2w2oVCr85S9/Ef5lronPkWvj8+Me+Dy5Bz5ProvPjevjc+T6+By5B5WLx0den/iMMcYYY4wxxhhzFO7JZowxxhhjjDHGHISDbMYYY4wxxhhjzEE4yGaMMcYYY4wxxhzE6+tkj0VpaSmys7MRGhqK2bNnQ6lUDlumq6sLX3/9NXp6erBw4UKEhITYtR6TX3/9Ffn5+ViyZAliYmKs7qOY7RsMBnz66adoaGjAli1b4Cl6e3vxyy+/CH/XlClTkJycbHG5Q4cOIScnBxEREZg/f/6wwvJi12M6lq+//rqQhGH9+vWi9tPa9seybldXXV0tvKf9/Pwwa9Ys+Pj4DFuGjv++ffvQ2tqKefPmITo62q71mBQUFODnn3/GnDlzkJaWZnUfR9u+TqfDm2++afH3ZsyYIbxfPEFeXh6KiooQG6U7TtAAABbeSURBVBuLmTNnQiKRDFumsbER33zzjfD+XLx4MbRarV3rMfn8889RU1MjvNdHO5/m52L37t3C9tesWWNxGTH76K7o76frVHNzMzIyMpCQkGBxuYMHD+LAgQPC+5jez0PPgbX1VFRU4Kuvvhq23o0bN0KtVlvdT2vbJ1VVVdi7dy+mTp2KadOmwRPQdZ7u3eHh4cK1RyaTDVumvb1dOLZGo1F4f1qqw2ptPW+88YZwvzeXmZkpvKwRs32T7777DsXFxTj22GOFZxd3193dLbzv6TpP7/v4+HiLy9F7l45/XFyccPyHvn+trYee9+gaNNQpp5wChUJhdT9H2/4XX3wh3AuHovrBJ5xwAjxBfX29cP+maw3d6y3VRu7v7xeOMT2z0X0mMTHR5vXQ79O5MhcWFoZVq1aJ2s/vv/8ehw8fxtq1axEYGGjXProzes46ePAgoqKihLjG0nMtfUYoPqH38DHHHCM8v9mzHkLL0OeCnrkmTZokah/FbF+v12PPnj3o6+vDhg0bYDMjs1lFRYXx+OOPNyYmJhrXrVtnnDx5sjEhIcH4/fffD1rul19+MUZFRRmnTZtmXLx4sdHX19f42muv2bwek7KyMmNkZKSRTtsbb7xhdT+tbZ/cf//9xqSkJGNycrKwXk/xzDPPCH9XVlaW8YQTThD+9u3btxv7+voGLfeHP/zB6OPjY1y9erUxOjrauGDBAmNLS4vN6zG57bbbjEqlUjiPYljb/ljW7crob9y8ebMxNjZW+AzMnDnTGB4ebvzggw8GLVdcXGxMTU0VXsuXLzdqNBrjQw89ZPN6zJendUmlUuG9b42Y7Z9++umDXrQcfZaee+45o7v74YcfjHPmzDFOnTrVeOKJJxpjYmKEr6uqqgYtR9cV+mzQdSYzM1O47tD1x9b1mHz55ZfCsabjSOdgNAaDwXjNNdcIn5+4uDjjjBkzLC5nbR/d2aOPPipcF+j6QZ8Duqacf/75wrExd9lllwnHgK43ERERwnu1o6PDpvW88sorRoVCMex9P9J1y5bt07k+5ZRThPNIy/3xj380uruCggLjsmXLhGsIvffpXpuenm7My8sbtNwXX3xhDA4OFj4XdL8JDAw0fvzxxzavJyQkxLhw4cJB54bOmTXWtm+OthkUFCR8Pvfu3Wt0dw888IAxPj7euGjRIuPatWuNWq1WeK+ao88AfRb8/PyMxx13nDEsLEx4H3d1ddm0HnqmUKvVwz4/nZ2do+6jmO3v2rVr2HrpOkrLuTudTmc8++yzhXvHmjVrBt6jL7300qDlamtrjdOnTxeuY6tWrRL+/ttvv93m9dCxo8+Y+bH8y1/+YnU/3377beE5JC0tTfh8WLrHWNtHd0bXBrrHTpo0SbhOUXxD9/3CwsJBy9G1hY47HX+65tC1h65Btq6nvb3duGHDBuF6RP/OmjXLePnll1vdT2vbJ3S+6dmSzhO9X+zhOVHVBDpw4MCgh/j+/n7jli1bhA+VOXqQow+mya233mr09/c3NjY22rQeQkHdkiVLjHfeeafoINva9sl///tf4cGGLvyeFGS/+OKLgx7g6YNJD4x0EzTZs2ePUSKRGL/++mvha3pITElJGXRTFLMeE1oPXQiuuOIKUYGwmO3bu25XV11dLdzU6D1vcu211xoDAgKMPT09A9+jmyA9iOv1euHrJ5980iiXywcutGLXY0IBOV046RyKCbKtbX+khhO6eHd3dxvd3eeff278+eefB76mBzp6gDjttNMGvkfXE7qu0AOeyamnnipcf2xZj/n66L1O6xMTZNO5v+uuu4Tfo3NvKcgWs4/ujBp06urqBr7Ozs42qlQq49NPPz3wPbpn0HvXdB7q6+uFB4gbb7zRpvVQwEafL1uJ2f6vv/4qrJ8+bxRAekKQ/dNPPw16eKO/ja4rFAib9Pb2Cg0Ll1566cD3rrzySqFR3XQdEbMeU5D9wgsv2LSPYrZvQl9TgPDPf/7TY4Ls//3vf8aGhoaBr+k9Su9V88CLjil9FugzYbr30PG55ZZbbFoPPWtRA5OtxGx/KHrGpHNEzzHujoIpuv+a7sWEAlNqsDB/pt22bZsQaJkaH9555x3hGFBDry3roWfnc8891+b9pHNN553O00hBtrV9dGfffffdwDOt6dpCz1ArVqwwmtDfTe9dul+bXHjhhcI1iJYXux5CzxBTpkwZ9Ll76623jKMRs31yzz33CJ8zem7gINvJ6INFHxJTqzx9sOhreqOYUBBFPZFPPfWU6PWY/PnPfzZu3LjR2NzcLCrItnX7nhZkW0IPI9QSbHLWWWcNe0Chiy21iA3tARptPYTOC/V4f/rpp0IQJyYQFrt9e9btjuiCSu/BgwcPDrT2UiOE+egLamyiFnzq1Re7HpOHH35Y6KGjm6uYINue7dO6qYdUTEuqu7rpppsGNQTSAwtdV9ra2ga+t2/fPuEcUNAkdj0m1BpND46fffaZqCDb3EhBtr376M5oBNPVV1898DX1EA/t0br55puFQNeW9VAQTL1pH330kdBITCOsxLB1+54SZFtCjbTUe2Xe4ErvxaKiooHvlZaWCt979913Ra/HFGTTfYKeEehh3zyYGIkt27/44ouN5513ntDQ6ClBtiV0baJrlAmNNly/fv2gZWgEDY0ssGU99KxF5+jDDz8UXjSiUQx7tn/dddcJ27LU4OwJ6B5P70FTMEYNQNQQQfd6c9QbetVVV4lejynIpnsRfY7oPW5+7xBjpCDb3n10Z3fffbfwXGtialQoLy8fNFKHvjfS6BlL6zFdg15//XWb9sfW7Y8lyObEZw7y8ccfIykpaWDuIM2xJubzoGh+E82jMf1MzHpMcxOffPJJPProo6L3x97teyqaf7N///5Bx4OOw9B5ajT/j+YiVlZWil4POffcc3HqqadixYoVovdJ7PbtWbc7ovc+ve9Nc5Nyc3OFuYHmx4jmH9I8TWufIfP1mNb15z//Gc8++yzkcnGpKOzZ/vvvvy/MiTv//PPhieh4UP6GoZ8jmrdrPp/JNI92pONkaT3k3//+t/AZ+9Of/uTQ/bZnH90ZzZumOWpirne0bEtLi+j1mOap7dq1S3ilpqbikksuEXJGjMae7XsqukYNPTcajWZQvg+ay0v3bGvXOktzrV988UU89thjWLdunTDflHIhjEbs9iknCG3z3nvvhSejubQ031zM54fmyNM8bLHrMeXK+cc//oG///3vwjG/6qqrhGviaGzdPn1G//e//+Gss84aNc+PO6P3It3P09PTha8LCwuFfASWjpO1z5H5eszzDtBz94UXXig8T7zyyitj3md799HTrndBQUFCbhYTyo9D8+Ntud59+eWXwnxqmidPeXPeffdd4fNmjb3btwcnPnOAd955B48//jheeOGFQRPq6cI2NLEOJR4b6YHC0nooKcKZZ54pfJ+Si4h9GLFn+56KEkzs2LFDSLRDAav5MQoODh60rCkxHB0j8w/gaOt56KGHhJup+XkTQ8z27V23u6GbGT2w33777QMPBHR8iKVjNNJ72NJ66AHk9NNPxx133IGUlBTR+2TP9ulzSsnrPCVZ01B0XH/77Tc88sgjo76PfX19heM/0nGytB5KXHfrrbcK59BSUqixsGcf3RUl6tu2bZvwwEj/ir3eDE3OM9J6Jk+eLCSjoQZb8uOPPwpJYyjhzOWXXz7iftm6fU/19NNP46233sJHH3006rGxdq2xtB7yzDPP4Pjjjx8I5ighHV3/qHF4pESDYrZfVlaGiy++WHhOEZOI0F1R4j96v1PiytNOO03U+5d+Ro0UYtZjCoxNCTQpOFi+fLmQJG20xllbt08BR11dHc477zx4Imo4uummm3DDDTcMOg7E0nEqKSkRvR5C54IaKUzPEbfccovQYEHJ5kZLfmuNPfvozh5++GEhIelnn31m9XpD3xvpemdpPfT+pvs4JWympKb0+5T8b+fOnXjggQdG3Cd7tm8vDrLHiHqZ6QZ22223YfPmzQPfp+y19JBCrYnmGSM7OjosZmAdaT3Uo0NZ9ZqamoTWabppEsoASr0y1IJD2fHKy8sHfofWY+v2PRX1rtCFkR4w6MNn/nBAx4iOhznT10OP0UjroV7na665RrhAUys/oUzhnZ2dwvmih0+6eNLDkAllPqQsida2L2bdQxsC3BG1HFKPCzVcXH311QPfp+NjOibm2Wvp66EPFKOt5+677xYCbfodOm6EMkVSZlF6YKTs1ZQNlnrsTOh7tm6fMmFTT/Z///tfeCK6yf3tb3/Dyy+/jOnTpw9839L7mK47dP2xdK0ZaT0XXXSR8LBJWVnpZep9o3NEmY7pM/Pee+8JGZAJBWWUuVUMW/fRXdH7mh44KCCi65TpPWzr9W609QztgZk7dy5OOukk4TxRkE3nh86TCY38oPNsy/Y9Fd0HLrjgAqHxlLJym1g6NqPdr0daDzEF2IQa2SmAWLlypdDDQ8EBjSChh1NCAcSmTZtEbZ/uRXTuqdGXXrW1tcL3P/nkE+Ffuh+5O7oe0Kgx6tyg9735s5Mt79/R1kNBt7lFixYJ54w+PxTY0UP+hx9+OCwzvK2fH2rwNTV+eRp6/x133HHC/Z4aZk3M79liPkcjrYcMzSJOz+LUUE+9qfTZo/sTPQ+aUEUL6h21xtZ9dGcvv/yycE+g9yJVRLL3ejfSemhZut/QPYieKcgPP/yABQsWCOeV7kt0vuhzSOi5jb5n6/bHgoPsMaCL54knnoibb75ZuJGZM/WYUfBravWinlAaBjy0FWy09VCvAV10TWWC6MGQUG8PteDQhYDeVN9+++3A71CQbsv2PRUFxtSiRQ8V1IhBwxrN0TGih0hzVLKBhg2Zl90YbT00xIs+tBSgmYI0KiNAjSF0zmjoPz3omJd5oosxBQzWtk8feGvrdvcgmwJjegCklv77779/0M9M72E6RuZDv+kYDS1HMtp66FhSqSDzc0CfBepJpcYSCqjp9ylANqHPlS3bN/Us0UWcGrk8DQ2Zu+KKK4RGCnpPmqPj9PzzzwvH1NQDbSp9MvRaM9p66MZIDRWm82QKBKj1mq519JmhUhq0DKGeVLFBti376K4oMD7jjDOExiO6Tg0tHTTS9YY+A1Q+UOx6LKHyN9S7Teihx/yzRtdICrLFbt9Tvf3228K1gYZa00O6OTo21LtCL1PZLGpMpd6Zoe/P0dZjiak0EU3DoHVRA72pAYuOPQXZYrZP55B+z3RuTQ+pVGqNPp/uHmRTYEz3D7rH0vt+aKnIkd6/FFiZj8Kwtp6RzhH1bhM6B+afH3oeoCBb7PZNJfAoUH/iiSfgaaixiBpjqeGVRm2Yl3QyvVfpOFHgZX6chn6ORluPJXQe6P5OnyNCz2Tm5ykrK0tUkG3LPrqzV199VRiFS50O1EFljt7LdG2hZ1nTaFuKc9ra2oYdA2vrMZW/M6FnPbpn/fTTT8IzBsVXNESf0OeEvmfL9sfMrpncTCgxQ8mT/va3v1k8GpTcgDIM33HHHQPfowQilEiJMj6KXc9QYhOfid2+pyY+o4zDlFiMklDl5+dbXIZKMVGJDfOMkpSYh0pv2LKeocQmJxOzfXvX7Q5ycnKEJGIXXXTRiInmKKmLebZ1SlI1NDmFmPUMJTa7uJjtmycuueCCC4ye5rHHHhOShg0t/2deaoOuK5TEx4QSww3NsG5tPUM5MvGZ2H10V5SQj7Ks0rVhpONFlSkoaYwpgQ99VqjUEGVZt2U9Q8uuUZJOKls0NBmkPdv31MRnlGiHkh1ZqkpBKDMu/Zw+IyaUoJRKpVF2W7HroczwQ8tLUnI5us9QVuWRiN2+OU9KfEYZhU866SShuod5MiRzVJ2FsoKbSm3RswGV/qGSnrasZ+jnp7W1VVSyTDHbN/n73/8uVAAwL+/lCeiaRNcaqhIyUkK/+fPnC1V6zBP4yWSyQRnWra2Hynw1NTUN+h4lnqX3OyV8FGO07OJi9tGd0T2e7vWPmV1Phn4G6Nry7LPPDqp0RNcg8yzh1tZD1zQq9Wh+3Oi8UTLIRx55ZMT9E7t9RyQ+455sO1BrLvVkUcsuTZY3DUEl1CNNrbo05OCf//wnLrvsMqHFl1qH6WtKEEO902LXYy8x2zf1iFOLnqkn3LQP1CsYHh4Od3XdddcJ82loHg0NBaYXiYmJGRhuQr3T1LO2evVqYYgxzY2iF7X027Iee4nZvqei5GDUW0xD6ZcuXYqXXnpp4Gfm77177rkHJ598stCKTD331HtDLZGmoVxi12Mva9s3od4c6sl77rnn4EmopZ6GMNLQYeqhMV0faPijqfWYhiPSXE1qbaapDdQTQ0l9aE6UaeiVmPWMBc1LpekV1LtALdKm9dO6aRti9tGd0d9GU0pouhFdy03Xc0r2tnDhwoFlKIEmDaOj3BI0MoeS+9EQPFvWQ9dEmttLw1zpXFKCLRod8H//939W99Ha9mlah2lqDfWI0z2SzmVYWNiwz5y7+Oabb4Shw8uWLRPm/Jnf503vT7p+/eUvf8GVV14pXNPoeFJuCRrdFhkZKXo9lNfgxhtvFK5ZNM2MrkuUz4MSCo72PCFm+56M7r80xYH+ZvP7L13zKccGoRE49CxAI9G2bt0qjLChZyfze46Y9dCwV+o9o88Tzdum6TN0buhYj0bM9k0jR6gHe/v27RanNbkr6mWk5K/0923YsEHo4TQxnzp31113CdcKGuVBz9Y0pYJ6q+mzI3Y9dB2i80M/p+floqIiYYQcjfCh69do6DmARgFRQkfTvYlGNdBILJoqKGYf3Rn1HNN9nt6nPj4+g65TNMqWRgzQtYlG7VI8Qj36NMKMPjP0nG2aFy9mPfS5ufPOO3HppZcKQ//pukj3Ixptap5HZCgx2yc0EoVGztG0AHpPmPbBlvhMQpG2XUfSi1FgSg/fltx3332Dhr7RgwR9iCmbIM2dojeNKfmILesxoeEN55xzjvCgYz7UZCSjbZ/Qh5vezEPRAxPNpXNX9GGhC9tQdKGjh2wTGhJHx4CGC9PxpkCAGjxsXY85Ot50TIcOW7bE2vbHsm5XRkPjRsogPfS9R9MhKCs43Rzpxkfvf1OGcFvWY+7ss88WHlSs3TCtbd+EHn5oOXc/L5bmQpnyAZijwPSpp54a+JpuI3QDovlPNN+JhkuaZ8MXux5zFGDRPCs6phRkjYYCC0tJY+hh0zQczNo+urOR/n4KhOnh3ITeww8++CAOHDggDGOlhzwKAGxZDx3HN954Q0hAYxoKTkGzmMYKa9un3CP04DMUPejStdgd0fuNHvwsMX9/mpJV0XBwOq40T5SSltm6HhoaSY19NFWMGkfogdS8YX00o21/KJqTTUH5X//612FZmd3Ntddea7GiCDVoUOOQCTXk0f2aGvMoGKOs0+bTKcSsh6afvfbaa8J9nJ7FaI42fX7EZAC3tn3TsOM//OEPbv8MN9L7zRLKwWJqxDDlrqHPBA0JpkRldJxMc6HFrocaYuneRM9mlJOFGu3FPC988MEHwtSxoWios3m+hNH20Z2N9PcTGpZvnp+AGt+pUYo+B9SgQcGrPeuhYJgyv9N0Wvo8UWOXmPvRaNsnlP3fUrbxkeIzSzjIZowxxhhjjDHGHITrZDPGGGOMMcYYYw7CQTZjjDHGGGOMMeYgHGQzxhhjjDHGGGMOwkE2Y4wxxhhjjDHmIBxkM8YYY4wxxhhjDsJBNmOMMcYYY4wx5iAcZDPGGGOMMcYYYw7CQTZjjDHGGGOMMeYgHGQzxhhjjDHGGGMOwkE2Y4wxxhhjjDHmIBxkM8YYY4wxxhhjDsJBNmOMMcYYY4wxBsf4f17Rs9YKBsitAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 1000x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "contrib = pd.DataFrame(X * beta, columns=control_names + CHANNELS, index=df[\"week\"])\n",
    "decomp = pd.DataFrame({\n",
    "    \"baseline\": contrib[[\"intercept\", \"trend\", \"season_sin\", \"season_cos\"]].sum(axis=1),\n",
    "    \"promotion\": contrib[\"promotion\"],\n",
    "    \"search\": contrib[\"search_spend\"],\n",
    "    \"social\": contrib[\"social_spend\"],\n",
    "    \"video\": contrib[\"video_spend\"],\n",
    "})\n",
    "share = decomp.sum() / decomp.sum().sum()\n",
    "print(share.round(3))\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(10, 4))\n",
    "ax.stackplot(decomp.index, decomp.T.values, labels=decomp.columns, alpha=0.85)\n",
    "ax.plot(df[\"week\"], y, color=\"black\", lw=1, label=\"actual revenue\")\n",
    "ax.set_ylim(15000, None)\n",
    "ax.legend(loc=\"upper left\", ncol=6, fontsize=8)\n",
    "ax.set_title(\"Weekly revenue decomposition (baseline axis starts at 15,000)\")\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9df3564c",
   "metadata": {},
   "source": [
    "## 6. ROI per channel\n",
    "\n",
    "Average ROI is modeled contribution divided by spend over the two years. Marginal ROI is the\n",
    "return on the next dollar at average spend, read off the slope of the response curve."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "id": "2d0e2633",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T01:23:34.254867Z",
     "iopub.status.busy": "2026-10-25T01:23:34.254785Z",
     "iopub.status.idle": "2026-10-25T01:23:34.258469Z",
     "shell.execute_reply": "2026-10-25T01:23:34.258061Z"
    },
    "name": "roi"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "                 spend  contribution   roi  marginal_roi\n",
      "search_spend  252245.0      387889.0  1.54           1.4\n",
      "social_spend  178558.0      155805.0  0.87           0.8\n",
      "video_spend   126822.0       82614.0  0.65           0.6\n"
     ]
    }
   ],
   "source": [
    "decays, half = best[:3], best[3:] * mean_spend\n",
    "media_beta = beta[-3:]\n",
    "\n",
    "\n",
    "def weekly_response(s, j):\n",
    "    \"\"\"Steady-state weekly contribution if channel j spends s every week.\"\"\"\n",
    "    a = s / (1 - decays[j])\n",
    "    return media_beta[j] * hill(a, half[j])\n",
    "\n",
    "\n",
    "def marginal_roi(s, j):\n",
    "    a = s / (1 - decays[j])\n",
    "    return media_beta[j] * half[j] / (a + half[j]) ** 2 / (1 - decays[j])\n",
    "\n",
    "\n",
    "roi = pd.DataFrame({\n",
    "    \"spend\": spend.sum(axis=0).round(0),\n",
    "    \"contribution\": contrib[CHANNELS].sum().values.round(0),\n",
    "}, index=CHANNELS)\n",
    "roi[\"roi\"] = (roi[\"contribution\"] / roi[\"spend\"]).round(2)\n",
    "roi[\"marginal_roi\"] = [round(marginal_roi(mean_spend[j], j), 2) for j in range(3)]\n",
    "print(roi)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b8c30bec",
   "metadata": {},
   "source": [
    "## 7. Response curves"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "id": "0cb719f2",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T01:23:34.259575Z",
     "iopub.status.busy": "2026-10-25T01:23:34.259508Z",
     "iopub.status.idle": "2026-10-25T01:23:34.324304Z",
     "shell.execute_reply": "2026-10-25T01:23:34.323864Z"
    },
    "name": "curves"
   },
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 800x400 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, ax = plt.subplots(figsize=(8, 4))\n",
    "for j, name in enumerate(CHANNELS):\n",
    "    s = np.linspace(0, 3 * mean_spend[j], 100)\n",
    "    ax.plot(s, weekly_response(s, j), label=name)\n",
    "    ax.scatter(mean_spend[j], weekly_response(mean_spend[j], j), zorder=3)\n",
    "ax.set_xlabel(\"Weekly spend\")\n",
    "ax.set_ylabel(\"Weekly revenue contribution\")\n",
    "ax.set_title(\"Response curves (dots = average spend; beyond the highest observed spend is extrapolation)\")\n",
    "ax.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4443478a",
   "metadata": {},
   "source": [
    "## 8. Reallocate the same budget\n",
    "\n",
    "Keep the weekly total fixed at today's average and let each channel move at most 30% from its\n",
    "average, so the plan stays close to spend levels the model has actually seen."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "id": "8a0bb8ee",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T01:23:34.325751Z",
     "iopub.status.busy": "2026-10-25T01:23:34.325654Z",
     "iopub.status.idle": "2026-10-25T01:23:34.330292Z",
     "shell.execute_reply": "2026-10-25T01:23:34.329853Z"
    },
    "name": "allocate"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "              current  proposed  change\n",
      "search_spend   2425.0    3153.0   728.0\n",
      "social_spend   1717.0    1355.0  -362.0\n",
      "video_spend    1219.0     854.0  -366.0\n",
      "Extra weekly revenue for the same budget: 474\n"
     ]
    }
   ],
   "source": [
    "total = mean_spend.sum()\n",
    "\n",
    "\n",
    "def neg_total_response(s):\n",
    "    return -sum(weekly_response(s[j], j) for j in range(3))\n",
    "\n",
    "\n",
    "plan = minimize(\n",
    "    neg_total_response,\n",
    "    x0=mean_spend,\n",
    "    bounds=[(0.7 * m, 1.3 * m) for m in mean_spend],\n",
    "    constraints=[{\"type\": \"eq\", \"fun\": lambda s: s.sum() - total}],\n",
    "    method=\"SLSQP\",\n",
    ").x\n",
    "\n",
    "allocation = pd.DataFrame({\n",
    "    \"current\": mean_spend.round(0),\n",
    "    \"proposed\": plan.round(0),\n",
    "    \"change\": (plan - mean_spend).round(0),\n",
    "}, index=CHANNELS)\n",
    "print(allocation)\n",
    "uplift = -neg_total_response(plan) + neg_total_response(mean_spend)\n",
    "print(f\"Extra weekly revenue for the same budget: {uplift:,.0f}\")"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c39a7242",
   "metadata": {},
   "source": [
    "## 9. Holdout check\n",
    "\n",
    "Refit everything (parameters and coefficients) on the first 78 weeks, then predict the last 26\n",
    "weeks the model has never seen."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "id": "a8b4219f",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T01:23:34.331348Z",
     "iopub.status.busy": "2026-10-25T01:23:34.331281Z",
     "iopub.status.idle": "2026-10-25T01:23:34.390527Z",
     "shell.execute_reply": "2026-10-25T01:23:34.390177Z"
    },
    "name": "holdout"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Train MAPE: 0.03%   Holdout MAPE: 0.09%\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 1000x350 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "train = slice(0, 78)\n",
    "test = slice(78, n)\n",
    "holdout_fit = minimize(sse, x0=start, args=(train,), bounds=bounds, method=\"L-BFGS-B\")\n",
    "beta_train, X_all = fit_ols(holdout_fit.x, train)\n",
    "pred = X_all @ beta_train\n",
    "test_mape = np.mean(np.abs((y[test] - pred[test]) / y[test]))\n",
    "train_mape = np.mean(np.abs((y[train] - pred[train]) / y[train]))\n",
    "print(f\"Train MAPE: {train_mape:.2%}   Holdout MAPE: {test_mape:.2%}\")\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(10, 3.5))\n",
    "ax.plot(df[\"week\"], y, color=\"black\", lw=1, label=\"actual\")\n",
    "ax.plot(df[\"week\"], pred, color=\"tab:green\", label=\"model trained on first 78 weeks\")\n",
    "ax.axvline(df[\"week\"].iloc[78], ls=\"--\", color=\"gray\")\n",
    "ax.legend()\n",
    "plt.tight_layout()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "9e6c5746",
   "metadata": {},
   "source": [
    "## 10. Check against the answer key\n",
    "\n",
    "This dataset was generated with known effects: each dollar of search, social and video spend\n",
    "added 1.4, 0.8 and 0.6 of revenue in the same week, with no carryover and no saturation. A model\n",
    "that works should get close to those numbers. On your own data there is no answer key, which is\n",
    "why experiments matter.\n",
    "\n",
    "The half-saturation multiples all finished on the upper bound of 10, which is the model telling\n",
    "you it can't see diminishing returns in this data. Widening that bound to 100 shows how much the\n",
    "bound itself was shaping the average ROI."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "d7fddf6e",
   "metadata": {
    "execution": {
     "iopub.execute_input": "2026-10-25T01:23:34.391757Z",
     "iopub.status.busy": "2026-10-25T01:23:34.391668Z",
     "iopub.status.idle": "2026-10-25T01:23:34.417922Z",
     "shell.execute_reply": "2026-10-25T01:23:34.417574Z"
    },
    "name": "answer_key"
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "              roi_bound_10  roi_bound_100  true_roi\n",
      "search_spend          1.54           1.41       1.4\n",
      "social_spend          0.87           0.81       0.8\n",
      "video_spend           0.65           0.61       0.6\n",
      "Half-saturation multiples with the wider bound: [100. 100. 100.]\n"
     ]
    }
   ],
   "source": [
    "truth = pd.Series([1.4, 0.8, 0.6], index=CHANNELS)\n",
    "wide = minimize(sse, x0=start, bounds=[(0.0, 0.9)] * 3 + [(0.2, 100.0)] * 3, method=\"L-BFGS-B\")\n",
    "beta_wide, X_wide = fit_ols(wide.x)\n",
    "roi_wide = (X_wide[:, -3:] * beta_wide[-3:]).sum(axis=0) / spend.sum(axis=0)\n",
    "print(pd.DataFrame({\n",
    "    \"roi_bound_10\": roi[\"roi\"],\n",
    "    \"roi_bound_100\": roi_wide.round(2),\n",
    "    \"true_roi\": truth,\n",
    "}))\n",
    "print(\"Half-saturation multiples with the wider bound:\", wide.x[3:].round(1))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.14.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
