{ "cells": [ { "cell_type": "markdown", "id": "8b2edb2e", "metadata": {}, "source": [ "# Know your data: datasets and synthetic processes\n", "\n", "Start here. Before resampling a series you should know its statistical regime,\n", "because that regime is what decides which bootstrap method is valid. Here we load every real dataset and\n", "build every synthetic process used elsewhere in the suite, plot each one, name\n", "the regime it demonstrates, and preview what `diagnose` says about it.\n", "\n", "The real datasets come from `sktime` and `statsmodels`, both pulled in by the\n", "`tsbootstrap[examples]` extra. The synthetic processes are defined inline with\n", "nothing but numpy, so the volatility-clustering example needs no financial-data\n", "dependency at all.\n" ] }, { "cell_type": "code", "execution_count": 1, "id": "de90590f", "metadata": { "execution": { "iopub.execute_input": "2026-06-22T16:14:16.173005Z", "iopub.status.busy": "2026-06-22T16:14:16.172721Z", "iopub.status.idle": "2026-06-22T16:14:17.705129Z", "shell.execute_reply": "2026-06-22T16:14:17.704092Z" } }, "outputs": [], "source": [ "# On Colab or Binder, install tsbootstrap first (skipped if already present):\n", "try:\n", " import tsbootstrap # noqa: F401\n", "except ImportError:\n", " %pip install -q \"tsbootstrap[examples]\"" ] }, { "cell_type": "markdown", "id": "03ba28c2", "metadata": {}, "source": [ "## Imports\n", "\n", "A few imports shared by every cell below." ] }, { "cell_type": "code", "execution_count": 2, "id": "9e5ffea5", "metadata": { "execution": { "iopub.execute_input": "2026-06-22T16:14:17.710167Z", "iopub.status.busy": "2026-06-22T16:14:17.709815Z", "iopub.status.idle": "2026-06-22T16:14:18.132582Z", "shell.execute_reply": "2026-06-22T16:14:18.131496Z" } }, "outputs": [], "source": [ "import warnings\n", "\n", "import matplotlib.pyplot as plt\n", "import numpy as np\n", "\n", "warnings.filterwarnings(\"ignore\") # keep dataset loaders and ADF tests quiet\n", "rng = np.random.default_rng(0)" ] }, { "cell_type": "markdown", "id": "eecf1cf7", "metadata": {}, "source": [ "## Bundled real datasets\n", "\n", "Six real series, each a different regime. We plot every one and note in a single\n", "line what makes it interesting for resampling.\n" ] }, { "cell_type": "markdown", "id": "fb415c80", "metadata": {}, "source": [ "### Airline passengers (monthly)\n", "\n", "This series has a trend and strong multiplicative seasonality. The dependence\n", "is structured, not random, so plain i.i.d. resampling would destroy it.\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "4a9faeeb", "metadata": { "execution": { "iopub.execute_input": "2026-06-22T16:14:18.138992Z", "iopub.status.busy": "2026-06-22T16:14:18.138598Z", "iopub.status.idle": "2026-06-22T16:14:19.173688Z", "shell.execute_reply": "2026-06-22T16:14:19.172807Z" }, "nbsphinx-thumbnail": { "output-index": 0 } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sktime.datasets import load_airline\n", "\n", "airline = load_airline() # pandas Series, PeriodIndex (monthly)\n", "y = airline.to_numpy(dtype=float)\n", "\n", "fig, ax = plt.subplots(figsize=(8, 3))\n", "ax.plot(airline.index.to_timestamp(), y, color=\"tab:blue\", lw=1.2)\n", "ax.set_title(\"Airline passengers: trend + strong seasonality\")\n", "ax.set_xlabel(\"year\")\n", "ax.set_ylabel(\"passengers (thousands)\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "aca3ba38", "metadata": {}, "source": [ "### Canadian lynx (annual)\n", "\n", "Aperiodic cyclical. The boom-and-bust cycle is real but its period wanders, so it\n", "is not clean seasonality.\n" ] }, { "cell_type": "code", "execution_count": 4, "id": "5afa063f", "metadata": { "execution": { "iopub.execute_input": "2026-06-22T16:14:19.176413Z", "iopub.status.busy": "2026-06-22T16:14:19.176228Z", "iopub.status.idle": "2026-06-22T16:14:19.273041Z", "shell.execute_reply": "2026-06-22T16:14:19.271756Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sktime.datasets import load_lynx\n", "\n", "lynx = load_lynx() # pandas Series, PeriodIndex (annual)\n", "\n", "fig, ax = plt.subplots(figsize=(8, 3))\n", "ax.plot(lynx.index.year, lynx.to_numpy(dtype=float), color=\"tab:green\", lw=1.2)\n", "ax.set_title(\"Lynx trappings: aperiodic cyclical\")\n", "ax.set_xlabel(\"year\")\n", "ax.set_ylabel(\"trappings\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "c272a496", "metadata": {}, "source": [ "### Shampoo sales (monthly)\n", "\n", "Short series with an upward trend that sits near a unit root. Only 36 points, so\n", "it also stresses methods that assume plenty of data.\n" ] }, { "cell_type": "code", "execution_count": 5, "id": "a51b3ec1", "metadata": { "execution": { "iopub.execute_input": "2026-06-22T16:14:19.277722Z", "iopub.status.busy": "2026-06-22T16:14:19.277549Z", "iopub.status.idle": "2026-06-22T16:14:19.394108Z", "shell.execute_reply": "2026-06-22T16:14:19.392728Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from sktime.datasets import load_shampoo_sales\n", "\n", "shampoo = load_shampoo_sales() # pandas Series, PeriodIndex (monthly), n=36\n", "\n", "fig, ax = plt.subplots(figsize=(8, 3))\n", "ax.plot(\n", " shampoo.index.to_timestamp(),\n", " shampoo.to_numpy(dtype=float),\n", " color=\"tab:orange\",\n", " lw=1.2,\n", " marker=\"o\",\n", " ms=3,\n", ")\n", "ax.set_title(\"Shampoo sales: short upward trend, near unit root\")\n", "ax.set_xlabel(\"month\")\n", "ax.set_ylabel(\"sales\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "a56f8661", "metadata": {}, "source": [ "### Nile river flow (annual)\n", "\n", "A unit-root level with a well-known changepoint near 1898 (construction of the\n", "Aswan dam reduced the flow). A clear case where the series is non-stationary.\n" ] }, { "cell_type": "code", "execution_count": 6, "id": "9b986755", "metadata": { "execution": { "iopub.execute_input": "2026-06-22T16:14:19.397422Z", "iopub.status.busy": "2026-06-22T16:14:19.397280Z", "iopub.status.idle": "2026-06-22T16:14:19.532573Z", "shell.execute_reply": "2026-06-22T16:14:19.531331Z" } }, "outputs": [ { "data": { "image/png": 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ljZ07dwKAm8Xe/v37/R4rroYcPHjQxT2lM+biDfE9efLkSZeMqsViQWFhoUs2OND3wIkTJ9y2tbZuDOQz0Vba6z1C6Z64e5hQKBRZDB48GNdddx1eeuklVFRUBHWO3r17Y9asWXjppZdQXl7utv/IkSNtnSYAoG/fvhg7dizefPNN1NXVSduLiorw8ccfY+7cuVImlGVZTJs2Dd999x12794tBbu5ubnIycnBgw8+6Ba01NfX46233sLWrVv9zmXMmDEoKytzaeZx5swZrF27NiTP1ZnExEQYjUYpu9UWLr30Umi1Wjz77LMu2bgvvvgCp06dwpIlSwIaJ85PXOYOhkWLFiE+Ph4PPviglG0TIYTg2LFjLtuWLVuG/Px8PProozh+/LhbNjzQ88lhzJgxiI2NxSOPPAKO4zBp0iQAQnBcW1uL//73v9Jqgz/a+np5QwwCnW8Sa2trZd0oLVy4EHFxcXjkkUfc3mf5+fkdOhdvXHLJJVCr1fjvf//rsv2NN95wCxoDfQ/s3bsXu3btkv7faDTi1VdfxbBhwyRJUSCfibbSXu8RSveEZoIplDbwyCOP4JNPPkFlZSWysrKCOscHH3yAefPmYdCgQbj22muRk5ODsrIybN++HUajEdu2bQvJXN977z3MmDED55xzDq655hpYrVa89dZbyMjIwCuvvOIydsaMGfjqq6+g0Wgk31Zx+xtvvIERI0YgKSlJ2l5aWoobb7wRN998s1+f4Ouuuw7PPfcc5s2bh1tuuQUGgwHbtm3DTTfdhEcffTQkz1Vk9uzZeOihh3D99ddLnqL+fIK9kZKSgnfeeQfXXnstLrjgAsyePRv5+fl44403cPnll+OWW24JaBwAzJ07F6+//joeffRRpKamBuxpGhMTg++//x6XXXYZhg0bhgULFiAxMRGnT5/GunXrMH/+fJeViksuuQTx8fF45JFHoNfrsWDBgjadTw4KhQLTpk3Dl19+ienTp0Or1QIQsoO9e/fG6dOnceWVV8o6V1tfL28sWLAATz75JBYtWoTly5fDZrPhq6++wvLly/HXv/7V57ExMTH4+uuvcemll2L06NFYuHAhIiIisGXLFkRFReHDDz/ssLl4Iy0tDa+88gpuvPFGVFdXY+rUqThy5AjUajUGDBjgEggH+h646qqrcM8992Ds2LGIjY3FJ598goqKCmzcuFEaE8hnoq2013uE0j2hQTCFIoNzzz0Xzc3NHjVyL7/8MrZs2eJmJO+pbbKnbYmJifjjjz+wdu1a/P777zh27BgyMzPx4IMPSlkzbwwcOBBLly51M9G/4IIL3ArGBg4ciKNHj+LTTz/FwYMHwTCM9GPbWqt38cUXY+nSpejdu7cUtADANddcA57nMWXKFJfxMTExWLp0qYvBvTe0Wi3+/PNPvP3228jPz0e/fv3wzTffYNu2bVi6dKmLtnLixIketYC5ublYunQp4uLipG2e2iaPGTMGv/32G3744Qfs3r0bdrsdCxYs8BkEe7smAFxxxRUYP348Vq9ejVOnTiE6Oho//vijWxMKueOeeOIJDB48GPv27UNBQQH69evn8wfbU0vZCRMmIC8vD1999RX27t2L+vp69O7dG9988w369u3rMlalUuGpp57Ctm3bMHbsWJe/baDnC6S97Y033oiYmBi353bfffdh+/btuOKKK2Q9V1+v1/XXX48JEya4nefCCy9EQ0ODz/mJ78lVq1bh2LFjSExMlG4Cd+7c6Xe5ftKkSTh16hQ+/fRTHD58GBaLBTfffLOLbl7u/AKZSyDP+YYbbsCoUaPw2Wef4cyZM5g1axYWLFiA3NxcZGZmuowN5D2l0Wjw7bffSvO94oorcO2117oV88r9THj6uwfyPAP9TFF6NgzxpfinUCgUCoXSLWlqakJcXBxWrFiBp59+OuDjNRoN/vrXv+KFF14I/eQolA6AaoIpFAqFQunmFBcXuzlLPPfcc7BYLFi4cGEnzYpC6VyoHIJCoVAolG7O77//jmeffRYXXXQRYmNjsXXrVnz11Ve49957cc4553T29CiUToHKISgUCoVC6QEcOHAAP/30EwoKCpCQkICLL764TQHw3/72N0yZMgWLFy8O4SwplI6DBsEUCoVCoVAolB4H1QRTKBQKhUKhUHocYREE19fX49ChQ272Rq0xGo04dOiQ1z7udXV1yMvL89lGUc4YCoVCoVAoFEr3plPlEEeOHMFzzz2Hb775BtXV1di0aZOb/6gzixcvxmeffYYVK1a4WLLYbDbcfPPN+PDDDxEfHw+j0YgXX3wR11xzTUBj/GG321FSUoKoqCjampFCoVAoFAolDCGEoLGxEWlpaVAofOR7SSfyyiuvkDfeeIMcO3aMACCbNm3yOvb1118nkyZNIkOHDiUrVqxw2ffwww+TpKQkkpeXRwgh5L333iMKhYLs3bs3oDH+KCwsJADogz7ogz7ogz7ogz7oI8wfhYWFPuO6sCiMKyoqQmZmptdM8OHDhzFjxgxs374d8+bNw5QpU1wywRkZGbjuuuvw2GOPSdsGDhyI6dOn43//+5/sMf6or69HTEwMCgsLER0dHdyTpVDCjH379mHy5Mn49ddfMWLEiM6eDoVCoVAobaKhoQGZmZmoq6tz66jqTNj7BJtMJixevBjPPvsssrKy3PaXlZWhuLgY48aNc9k+YcIE7N69W/YYOYgSiOjoaBoEU7oNkZGR0n/p+5pCoVAo3QV/0tWwD4Jvv/12jBgxAldddZXH/dXV1QCA+Ph4l+3x8fGoqqqSPcYTZrMZZrNZ+n9//ecplK5I79698e2336J3796dPRUKhUKhUDqMsHCH8MbatWvx2Wef4W9/+xsOHTqEQ4cOobm5GdXV1Th06BAAQKkU4vjWbg9msxkcx8ke44knnngCer1eemRmZobsuVEo4UJMTAzmzZuHmJiYzp4KhUKhUCgdRlhngmtqapCeno6bb75Z2nb27FlUVVVh79692L9/P9LT08EwDEpLS12OLS0tlYJWOWM8cd999+HOO++U/l/UmFAo3YmysjK8++67uP7665GSktLZ06FQKBQKpUMI6yD4yiuvxJVXXumybcSIES6FcZGRkRg7dix+/PFHaazZbMaGDRtwzz33yB7jCbVaDbVa3Q7PjEIJH0pKSvCPf/wDs2bNokEwhdJFsdvt1P+e0mPgOA4sy7b5PJ0aBNfV1aGoqAjl5eUAgPz8fCQkJCApKQlJSUmyz/Pwww9jzpw5GDJkCCZMmIDnn38eERER+Otf/xrQGAqFQqFQuhoWiwX5+fmw2+2dPRUKpcOIiYlBSkpKm/o2dGoQ/Ouvv+L+++8HAAwePBj/+c9/AAC33HILbrnlFo/H5ObmIjU11WXbhRdeiB9++AEvvvgiPvvsMwwdOhRbtmxx0TjKGUOhUCgUSleCEILS0lKwLIvMzEzfjQEolG4AIQRGoxEVFRUA4BYTBkJY+AR3FRoaGqDX61FfX0+tpLxgNxphOngIEePO6eypUGSyZ88ejB49Grt378aoUaM6ezoUCiUArFYr8vLykJaW5tMPlULpblRXV6OiogL9+vVzk0bIjdfoLSMlpFSvWoWCa6+F+fTpzp4KRSYxMTFYuHAhXRWhULogPM8DAFQqVSfPhELpWHQ6HQDhRjBYwrowjtL1aD50GABgKSiAmvrOdgl69+6Nzz//vLOnQaFQ2kBbdJEUSlckFO95mgmmhBTz8eMAAFtZeSfPhCIXi8WCoqIiWllOoVDCho8//hgffvhhZ0+jU/jyyy/x9ttvd/Y0egQ0E0wJGbyhCdbiYgCArYIGwV2FQ4cOUU0whUIJK9atWwebzYYlS5Z09lQ6nE2bNqGoqAhLly6Vfcznn3+OpqYmXHfddSGdi81mw3fffYfff/8dc+bMwfTp093GlJaW4osvvkBJSQkSEhIwf/585ObmuowpKirCV199hZKSEvTv3x9XXnklNBpNwOcJNTQTTAkZ5pMnpH9baSaYQqFQKJSAWbhwYUABMABs3LgRP/zwQ0jn8ccff6BPnz54//338e6772Lnzp1uY7Zv344+ffpg48aN0Ov12LdvHwYMGICvv/5aGrNhwwYMGDAAW7duRVRUFN59911MmDABjY2NAZ2nPaCZYErIMB9vCYJtZWWdOBMKhUKhhDsGgwGrV6/GyZMn0a9fP1x11VVu2cHDhw/j559/hsFgwOzZszF27Fhp3/r167FmzRoAgF6vx6hRozBv3jwXrejHH38Mu92OkSNHej0PABw/fhyrV6+GUqnElClTUFNTg+LiYpeOtY2Njfj0009x6tQpZGZmYsGCBS4NhsRrDRkyBOvXr0djYyMWLFiA4cOHu1yrpKQEn376KcrLy9G3b19cddVVUpEXILge1NXVyX4OP/74I/744w+YTCbcfvvtAASr2X79+gXy53AjNTUV27ZtQ1paGjIyMjyOee211zBs2DB888030jaz2Yz//ve/uPTSSwEAd9xxBxYtWoR33nkHAHDvvfdi+PDhePbZZ/Hwww/LPk97QDPBlJBhPiEEwYrISFipHIJCoVAoXsjLy8OgQYPw+uuvQ6vVYtu2bbjgggtcxvz666+46qqr0NjYiOLiYpx33nnYuHGjtF+v1yM7OxvZ2dkghODOO+/E4sWLXc6xbt063HfffT7Ps2PHDowYMQL79u2D1WrFTTfdhFtvvdUlC5mfn48hQ4bghx9+QHR0NLZv344hQ4Zg3759btdauHAhGhoacObMGYwZMwZr166Vxhw4cACDBg3Cxo0bodPp8PLLL2PUqFEuWdFNmzbh+++/l/0cYmNjERUVhYiICOn10Gq1Qf5lWsjJyUFaWprPMUlJSTAajS6NWgwGg8vNwcmTJzFmzBjp/1mWxahRo/DVV18FdJ72gGaCKSHDfOIEFFFR0AwahObDhzt7OhQKhUIJU2655Rb07dsX69atkzxeT5065TLGYrHg999/l3xeDQYDXnvtNUmXes455+Ccc1o86W+99VZkZWVhz549LvUN/s5z77334tJLL8XHH38MAFixYgV6t3I3Wr58OebNm4eXXnpJ2rZy5UrcfffdWLdunbStvLwcJ06cQHZ2NgAgMTERd9xxBw4fPgyGYfD3v/8dU6dOlQLsu+66CwMHDsTTTz+NRx991Ovr5es5TJgwAUOHDkVVVZWUCe4o/vnPf6KqqgoTJkzAqFGjcPToUcTGxuKFF16QxgwePBgbN26UmqCZTCZs3boVhYWFAZ2nPaBBMCUkEELQfOIE1P36gUtJhnHHDvCGJrCREZ09NYofRowYgebmZnAc19lToVAoIaK0tBSlpaUu22JjY5GTk4Pm5mYcOXLE7RgxcDx+/Diamppc9mVnZyMuLg6VlZUuwQsAREVFoW/fvrLn1tTUhI0bN+LTTz91aXLQp08fl3HnnXeeS6ODwYMHu2RIAUFL+uuvv6KiogI8z0Oj0eDw4cMuQbCv89hsNvz+++/49ttvpf0xMTGYPXs2qqqqAAhB2/r166HVarFy5UoQQkAIwcmTJ7Fr1y6X+Zx77rlSAAwAS5YswXPPPYeSkhKkpKTg119/xerVq6X9Op0OixcvxsaNG30GwXJeCzmcOnUKa9asQWVlJc477zzMmDHD5Sakurra5cbCH6Wlpfjzzz+Rk5ODrKws1NfXY9u2bThz5oyUxX3ppZcwd+5cnHvuuRgyZAh+++03pKen4/Tp07DZbFAqlbLO0x7QIJgSEmzl5bA3NEDdry/YKOGDaqsoBxtJvYLDHYVCAbVa3dnToFAoIeT111+X9JYiV199NT788EMUFRVh9OjRbseIDWSvu+46bN++3WXfBx98gCVLluCzzz7Drbfe6rJv5syZLkv+/qirq4Pdbvfb7tZZJwsIy+g2m036/4ceeggvvfQSrrjiCmRlZUGtVkOlUqG+vl72eaqrq8HzPBITE13GJCYmSkFwTU0NbDYb0tPTXbSxWVlZmDFjhttxziQlJQEQMsRKpRJWq1Xa5jymzE8djb/XQg4///wzVqxYgYULF4JlWfzjH//A0qVLMWPGDJhMJmzbti3gQrRbbrkFOTk5LgH5bbfdhr/85S84efIkAOHGIC8vD5s2bUJFRQVuueUWrFmzBgcOHIBSqZR9nvaABsGUkCDqgTX9+4M4ND22sjLaMKMLcOLECdx0001444032lxIQaFQwoObb74Z8+bNc9kWGxsLAMjIyMDu3bu9Hrtq1SqPmWAAWLRoESZMmOCyLyoqKqC5JSQkgOM4nDlzBueff35Ax4oQQvD888/jnXfewYIFC6RtDzzwQEDnSUxMhEqlQrHD3lPE+f/j4+PBcRyGDRuGZcuW+Txf6/MUFRUBANLT05GUlASNRiNtEyksLERmZmZA826NnMYROTk52L9/v1R8+Mgjj+DQoUPYtm0bUlJS8PbbbyMyMjKg6x47dsyleBAAxowZg5dffhkWi0XqZBgbG4vLLrtMGrNy5Uqce+65AZ8n1NAgmBISxCBY3a8f+NpaAIC1vKIzp0SRicFgwK+//gqDwdDZU6FQKCEiNTXVa6ZVo9H49ATv37+/132JiYlu2c5AUavVmDdvHl544QVceumliIgQZHN//PGHS2DkD5vN5pINfeONNwL+HlMoFLjwwgvx5ptvYv78+VAoFCgqKsKPP/4oBegajQaXXHIJnn32WSxYsEC6mTCbzfjjjz8wdepU6Xzbt2/H3r17MXLkSADAyy+/jLFjxyI5ORkAcPHFF+P111/HggULoFQqUVVVhU8++QT33HNPQPNuTUxMDPLy8nyO8fR3HTJkCIYMGRL0dYcMGYINGzbgn//8JxQKwWth/fr16Nu3rxS4Hj9+HMnJyYiJiQEgZKR/+eUXbNiwIaDztAc0CKaEhGaHPZq6b19YzhYAAGzl1CaNQqFQKO68/PLLmDVrFgYPHoxp06ahsLAQGo1Gts6VYRisWLECN954I9auXYvKykrs3bsX8fHxAc/lqaeewsSJEzF+/HgMHjwYmzZtQu/evaVgTJzv3LlzMWjQIMyYMQPNzc3Ys2cPVqxY4RIE9+vXD/Pnz8eUKVNw9uxZ7NmzB+vXr5f2P/vss5gyZQrGjh2LkSNHYv369Rg4cKCbxCRQLrzwQjz33HO45pprEBcXFxKLtIqKCjz++OMAgPr6evzwww8oKyvDwIEDpazts88+i1mzZmHkyJEYP348Dh06hCNHjuCLL76QzmMwGLBgwQKMGTMGDQ0NWLt2Lf773/9i2rRp0hg552kPaBBMCQnmEyfApaWBjYoClyzonazl1CaNQqFQKO4kJydj9+7d2LhxI06fPo1rrrkGkydPlvZfddVVkkZZ5IILLkCvXr2k/3/88cdx8cUX4+DBg4iPj8dHH32Eb775xsWXV855BgwYgGPHjuGHH34Ax3H417/+hQcffNDluMTERGzbtg2///47jhw5goSEBLz44otuRVtjxozB008/jS1btki+ws4Z+ezsbBw5cgQ///wzysrKcNVVV2H69OkucoaFCxe6WKbJeQ6TJ0/Gnj17sGPHDjQ0NITEIo3jOEkG41y0J2a1AWDo0KHIy8vDL7/8guLiYlx44YWYMmWKlC0HgNGjR2Pz5s34+eefQQjBSy+9hPT0dJdryTlPe8CQ1q8sxSsNDQ3Q6/Wor693qdLs6RCrFcdGjUbkeech87VXQex2HBs2HJETJyLz1Vc6e3oUP+zZs4e2TaZQuijNzc3Iz89HTk6OW6MJijzKy8vB87zkiVtaWopBgwbh6aefxo033ij7PNdddx1sNhs+/PDD9poqxQlf73258RrNBFPajDk/H7BaoXYsvTAKBbikJNhoJrhLkJWVhTfffBNZWVmdPRUKhULpcAghmDFjBgYPHgy1Wo2ffvoJEydOxLXXXtvZU6O0MzQIprQZ8wnBvkTdv0V/pExOhqWgoLOmRAmAhIQEvxXPFAqF0l1JSUnBjh07sHHjRlRXV+OWW25xc8CQgyfZAiW8oUEwpc1I9mhOInxlSjJMe/fCbrFA0Y6VnZS2U1VVhW+++QaXXHIJEhISOns6FAqF0uFERkZi/vz5bTrHzJkzQzQbSkeh8D+EQvGN+fhxgOOgcuqSwyUJwnlbRWUnzYoil4KCAtx4440ooJl7CoVCofQgaBBMaTPNJ09A3acPGKe2u0pHxSy1SaNQKBQKhRKO0CCY0ib4xkbYSkqh7ufaN160SaPFcRQKhdL+UC0qpadhd3SnbQtUE0xpE570wEBLJthaRoNgCoVCaS84jgPDMKisrERiYqKs9rkUSleGEAKLxYLKykooFIo2dZSjQTClTUjtklu1Y+QcZtpUDhH+REZGYvLkyQH3jKdQKJ0Py7LIyMhAUVERzpw509nToVA6DJ1Oh6ysLJfOfoFCg2BKm2gWg+DWmWBHb3lreUWHz4kSGP369cPmzZs7exoUCiVIIiMj0bdvX1it1s6eCoXSIbAsC6VS2eaVDxoEU9qE+fgJKPR6KJOSXLYzKhXYhATYymgmuL0ghIAYjVBERLTpPHa7HVarFRzHtemOmkKhdB4sy4Jl2c6eBoXSpaC/eJSgIYTAfPIkNP36ebwb45KSYK2gmuBQwxuaUPvpauRftgDHzxkHw+9b2nS+ffv2QaPRYN++faGZIIVCoVAoXQCaCaYEja20FPbGRjcphIgyJQXNJ06A2O1gaIaxzZgOH0bd6s/Q8MMPsBuNUOh0YDgOZQ8/jN7ffweFVtvZU6RQKBQKpctAIxNK0DQfPw7AXQ8swqUkAzYb+OrqjpxWt4NYrShYdiPOLFiIus8+gyo7GykPP4zc335D4u0rYC0qQtVrr3f2NCkUCoVC6VLQIJgSNOYTJwEAmv5eMsGOrnHUJq1tmPbvR9OWLYg4/3xkf/45cr76ErGLF4GNjEDckiVQDxyI6nfegTkvr7OnSqFQKBRKl4EGwZSgEe3RVLl9Pe5XplCbtFDQ9OefAICEv/0V2qFDXPYxSiVSH3oQsNlQ+tBD1DCfQqFQKBSZ0CCYEjTmE8fBZWSAjfTsTiB6BVtp17g2Ydy5E4xGA83QoR73a4cPR8wVi2HatRv1X30d8PmHDBmCwsJCDBkyxP9gCoVCoVC6CTQIpgQFsVhgzj/jVQ8MAMpkoWucjcohgoZYLDDt3QftiBFQ+OiKk3THHWATElDxzDOw1dYGdA2VSoWMjIw2dd2hUCgUCqWrQYNgSlBYzp4FbDao+3qWQgAAlyx4B9uoTVrQmA4dAmluhu6csT7HsdHRSL73XvB1dah45tmArnH69GlcfvnlOH36dFumSqFQKBRKl4IGwZSg4OvqAADK+HivYxQREVBERdHCuDZg/HMnACBirO8gGACiL56NiHPPRf1XX8G4c6fsa9TV1eGLL75AneNvSqFQKBRKTyAsguCKigps374dDQ0NHvfb7XacPHkS+fn54Hne63lKSkqwb98+GAyGNo2h+IdvFF4/RVSUz3FcSjLtGtcGjH/+CUathmbYML9jGYZByoP/AqNSoezfj3fA7CgUCoVC6bp0ahC8d+9eXHHFFRg8eDAmTJiAPXv2uI156qmnkJ6ejosvvhiTJk1C79698dNPP7mMMZvNWLx4Mfr06YPLL78cycnJePXVVwMeQ5GPvVG4YWGjfQfByqRkWCsqqGtBEBCrFca9e6EdPhwKtVrWMapevRA1YwbMx47B3tTUzjOkUCgUCqXr0ulB8Pz587Fjxw6P+3meR21tLQ4cOIATJ06goKAA11xzDS6//HKUOzkOPProo9iyZQvy8vJw8uRJvP/++1i+fDl2Oi0JyxnTHan9/HM0bdsW8vNKmeBIP0FwSjKIyQS7lyx/T8VSVITKF1+C3WLxOsZ06BCIyQSdDCmEM6peWY5rFLdpjhQKhUKhdGc6NQi+4YYbcOWVV3qtSmdZFk8++SQSExMBCMu9y5cvR1NTk0vW+O2338ayZcuQnp4OAFiwYAEGDRqEd955J6Ax3Q3C8yh7+BEUr7wLdpMppOe2GxoBAGxUpM9xnMMhgtqkuVLz3vuoeuUVNPywxusY485dAADdOecEdG4uPQMAYC0ukjU+LS0Njz/+ONLS0gK6DoVCoVAoXZmw0AQHghj85uTkABA0vmVlZRjbKls2btw47N27V/aY7ghfUyO1La79dHVoz90oBMH+NMHKZLFhBg2CnTE53ne1n3zidYxx504wHAftcP96YGe4TEcQXCQvCE5JScF9992HlJSUgK5DoVAoFEpXpksFwdXV1bj11luxcOFCDBgwAABQU1MDAIiLi3MZGx8fj+rqatljPGE2m9HQ0ODy6EpYKyqkf1e//XZIs8F2SQ7hJxOcQoPg1thNJjQfOwYAaD54EKaDB93GEJsNpt27BT2wRhPQ+VUZQhBsKZQXBNfV1eG7776j7hAUCoVC6VF0mSC4oaEBs2fPRkJCAt5++21pO8dxAISA1RmTySTtkzPGE0888QT0er30yMzMDMlz6ShslZUAAM3gweCrqlD32WchOzcvFsbJzARTm7QWmg8dAmw2RM+eDQCo/eRT9zFHjsBuNPr1B/aEMjkZ4DjZmeDTp09j/vz51CeYQqFQKD2KLhEENzY24sILLwTP81i3bh2io6OlfZmZmVAoFCgpKXE5pqSkBL169ZI9xhP33Xcf6uvrpUdhYWEIn1X7Y3NkguP/ejOUiYmoeust2JubQ3Jue6MBjE4HRqn0Oa5FDkFt0kSMe/cBAGKvvALa4cPRsGaN5LssjfnzTwCB64EBgGFZcGmpsBZ1rfcrhUKhUCgdSdgHwWIAbLFYsH79esTExLjs1+l0GD9+PL7//ntpm9FoxIYNGzB9+nTZYzyhVqsRHR3t8uhK2CqETLAqMxPxNy4DX1mFus8+D8m57Y2NYP1IIQCAjYkBo1LRwjgnTHv3AkolNEOGIPaqK0HMZtR9843LmKadOwGOg3b48KCuoUrPgKWomFrTUSgUCoXihU4NgisrK7F9+3apOO3IkSPYvn07ihzLuFarFRdffDHy8vLw2GOP4fjx49i+fTu2b9+OSsdSPwA89thj+PLLL/HAAw/gxx9/xGWXXYa4uDjcdNNNAY3pbohyCGVSEmIWLQKbmIDqt96CvZUsJBh4g8FvURwgOHooU1JgC3M5RPXbb6Nxw4Z2vw4hBKZ9+6AZOBAKrRZRF14INiYGdZ98CmK3C2NsNph27YZ26FAotNqgrsNlZoKYTEJxJIVCoVAoFDc6NQj+888/cfvtt+Pf//43xo0bh/fffx+33347fv75ZwBCttZisSAnJwcPPfQQbr/9dumxzcn7durUqdi4cSOOHz+Op556Crm5udi6datL5lbOmO6GraIC4DiwMTFQaDSIX7oUtooK1H3+RZvPLTcTDABccnJYF8YRnkfFc8+j5r332/1a1rNnwdfWQjtiBABAoVYjZuECWM6elfycm48KjS6C0QOLcBmCFaBVhoRHo9Fg0KBB0ARYgEehUCgUSlfGt6Cznbn44otx8cUXe92v1+uxfft2WeeaNGkSJk2a1OYx3QlbRQWUCQlgFMK9Tuzixah+621Uv/kmYhZdDoUXf2Y58I2NUPfvL2usMjkZxp07YTeZgs5stie2ykqA5yXbt/ZE1APrRo6QtsUsXozqt99B7SefIPK882B0NHAJtEmGM5JDRFGxFHB7Y9CgQTh8+HDQ16JQKBRK+GGrqYH52DFEnHtuZ08lbAl7TTAleGwVFVAmJUr/r9BqEX/DDbCVl6P+yy+DPi+xWkFMJr+NMkTC3SbNWloKAOAb6tv9WqZ9+wAA2pEjpW2qzExETDwfhl82wVpWJhTFKZXQOY0JFC5DcDKhxXEUCoXSM6l+400ULF0Ga3mF/8E9FBoEd0HsTU1+xxCeh626GlxSksv22CsWg42LQ9Ubb8Kcnw/L2bMuD16GFzJvkNcyWUSZ5LBJC9MPoq1McK6wN7R/Jti0dy+UycngUlNdtsdeeSVgt6P2k09h3L0b2iFDoNDpgr6OKIewyLBJ27dvH6Kjo7HPEaBTKBQKpetjLSkBCIGtrLSzpxK2dKocghI49d9/j5K770Gvjz6CbpT3TKGtuhqw26FMTHTZrtDpEL/0BlQ88yxOXzTb7TiFTofc334DGxnh9dx2MQiWmQlWpoS3TZq11BEEGwwgPA+GZdvlOnxjI8wnTyJq1iy3fZGTJoFLS0PNqlUgZnNQ1mjOsDExUERGwlpU7Hes3W5HY2Mj7I7CPAqFQqF0fWyOZmC2qqpOnkn4QoPgLoStthbl/34cIATNhw75DoIrWpwhWhO7ZAmI1eaWUTbu3g3Tnj2wVVSAjczxem4xW+yvUYYI52jHG642ac7BOd/QAGVsbLtcx3TgAEAItCPcbc8YlkXM4sWofP55AG3TAwOCKweXkSGrMI5CoVAo3Q9blRAH2JzctCiu0CC4C1Hx7LNSUwVrse8Mn61SkB4oE92DYIVajYS/3uy2vfrdVTDt2ePWuKE1UstkmUGw1DAjTG3SxEwwILheoL2CYKkozvPNS8zCBaj83/8Au91FMxwsXEY6DJs2g1itYHx0RqRQKBRK94OvcmSCK2gQ7A0aBHcRjLt2of7Lr6AbNw7GXbtgLfETBEuZ4ESf45xh9XoAAF9f53Oc3SBoZ+VmgpUJCQDLwlYRpkFwmVMmuN6/JjpYTHv3glGpoBk40ON+ZXw8Ev/vNtgbGn3KUeSiysgEeB7WsjKouljLbwqFQqEEj91kklZ7qRzCOzQI7gIQiwWlDz0ERqVC6sMPoeCGpbD40XqKLZM9ySG8wTq68fH1vl0S+MbACuMYloUyIQHWMM0E20pbigba4hBh+H0LGCWLiAkT3PYRux2m/fuhGTIEjA9ruoQbbwz6+q3hHDZp1qIin0HwgAEDsHv3bgwYMCBk16ZQKBRK5yHqgQEqh/AFdYfoAlS/uwqWvFOIv/kmqLKzwaWny5BDeNcEe4ONcWSC/cohxEywvMI4AODS0mAtLAy7Nr7EYhHukpXC/aC9DV7Bpfffj8Jblnv825jz8mA3GKB18gdub1SZolewb4cInU6HUaNGQdcGNwoKhUKhhA/OgS/NBHuHBsFhjqWwEFWvvAJVdjbiHVlCLiMD9oYGn3Zmzt3i5NIih/CXCRauK1cTDADq3D7g6+rAO92dhgPWikqAEKhzsgEEL4ewG42wVVSAmEwoe/Qxt2Dfnx64PZAywYW+g+CCggIsX74cBQUFHTEtCoVCobQzzoEvzQR7hwbBYQwhBGWPPApiNiPloYekDm9cuqMlbkmJ12NtFRVQJiaAYRjZ1xMDZrufIFgsjJOrCQYAdd++AISMaDghOkOo+wnd74KVQ1gcgSajUsGweTMaN2xw2S81yfDTvS2USO8TP5ngqqoqvPLKK6ii2QIKhULpFogJJ0ang62qCoRaYHqEBsFhTOPatWj6/Xfo589DxPhx0nYpuPEhibBVVoLz4AzhCzY6GgDA1/nJBDsK4wLKBItB8ImTAc2pvRGdIdT9+gEIvmGGtVDIoib+321QREWh/LF/gze0WNCZ9u4Fl5kpFAl2EAqNBsrERFkNMygUCoXSfbBVCkkNTb9+gM3md4W3p0KD4DCFNxhQ/u/HodDrkXT33S77uPQ0AN4zfMRmg626OiA9MAAwHAdFRIR8i7QI+Q4GUhB8MryCYLGTjrq/EATL6ZjnCUuB4MerHTkSSX+/E7byclS99JJwjdpaWM6c6VA9sAiXkeE3E0wJT0ofeAAFy26kej4KhRIwtmrhe0M9UCh4pjZpnqFBcJhCzGZoRwxH0t/vhDI+3mWfypEJtnjJBNuqazx2i5MDq9f7vWO0NzZCERERUGc1Nj4ebExM2AXBYiZY4wjSg5dDCJlgLjMTMYsWQTN8GGo++ADNR450ihRChMvMAF9TI6vVNiW8MGzdiqYtW5C/8HKYDh7q7OlQKJQuhK2qCmBZKQElNs6guEKD4DBFGR+PjJdeQszll7vvS04GlEpYiz1rgoNxhhBhY2JkFMY1BiSFAIQOZuq+fWHOywvaIaLpjz9Qu/qzoI71hrWsDGBZKFNSoIiIaIMcogiMQ37AKBRIffhhgGFQ+uBDMO3eDaBji+JEVBmiQ4R36UxSUhLuuOMOJAXxfqG0H/ZGA9jEBPA1NTi7ZAnqv/uus6dEoVC6CHxVNdi4WHBisypaHOcRGgSHOZ4K2xilElxKildNcDAewSJsjF6WRVogRXEi6r59YTcYYHNqThEIlS++hLKHHw5pVtNWWgplUhIYloUiOjp4OURhAVSZGdLfSzNgAOKuuQbNBw+i5sOPoNDppDvyjoRLdzhEFHuXRGRkZOC5555DhiNgpnQ+xG6H3WCAbsRI9ProQ7AxMSi5+x6UP/kUiM3W2dOjUChhjq2qCsqERKkOhQbBnqFBcBfFl1ewFAQHIYdQ6PWwGwwgVqvXMbzBEHAmGADUfXMBBK8Ltpw9C9jtMB0+HNTxnrCWl4NLSQEgFAbagwiCic0Ga3EJuMwsl+2Jty6HMjUVpLkZmmHDwCg7vjcNlynapBV63E8IQfnmzfhjyxYYDIaOnBrFB/amJoAQKKKjoB06FDlffA7tqFGoWbUKhTfdFPTNGoVC6f4QQhxBcIIUB/C0tsAjNAjuonDp6bA3NnqULrRJDiF6BftoGmFvbIQigEYZIi3FcYHbpPENDeBrawEAzQcOBHy8J+wWC/jqanCpLUFwMMGFtawMsNncurIpIiKQ8s/7AQC6c8a2fcJB4E8O0fDdd9hy3fU4b+JEnDhxoiOnRvGB1JDG0ZVRmZiIXqveRcyiRWj6YxtqPvigM6dHoVDCGHuTEaS5Gcr4eLA0E+wTGgR3USSHCA/Z4BY5RBCFcWLrZC82aXaLBcRsln6cA0GdG3wmWHRfAADT/tAEwaIsQ5mSCgCSHCJQzbLV0WSCy3JvTRw1fTpyvvoS8Tfc0MbZBocyORngOK+Z4Ppvv+3gGVHkILUmd1pxYVQqJN21EgBg9dM2nUKh9Fx4RxGcMjEBCpUKrF4vWaZRXAkqCF6zZg0a6HJcpyJl+LwEwUyA3eJEWL1wjDddsJihCiYTzMbEQJmUFFQQbC04K/3bdPBgwMd7PKfDGcJZDgGeBzEaAzqPGKCrsrI87tcMGgSFRtOGmQYPw7Lg0lI9aoKtFRVo2r6jE2ZF8Yfd4Lk1uSIyEoxaLdkfUSgUSmtsjkYZrMNZSpmUSDPBXggqCL766qsRFxeHsWPH4q677qJBcSfgq2GGrbJScCkIoFucSEvr5DqP+6Vl2qjogM8NCNlg86lTAXevsTiyrepBA2ErK4O1vCKo6zsjegQrneQQQOBewaI9Wms5RLigSs+ApajYLcPd8OOPAO0iFJaIciRFqxUXhmGgTEig3sEUCsUrYtZXmSCsBrP0O8MrQQXB1dXV2LZtGxYtWoQjR47gqquucgmKKe1PSxDsbpNmrawISg8MOMkhvNikeVqmDQR1374gzc0BN3CwnBEywfo5cwEApgP7g7q+My2ZYFEOITynQINga0EhoFCAS0tr85zaAy4zE8RkktpoijT8sAaKiAiwAOK0Wig7oXCP4hmpIU20++eMTYgHT5c2KRSKF8SVImWCIxOcmAi7wQC7ydSZ0wpLggqCWZZ1yQJv2bIFS5Yswd69e/Hss8+Geo4UDyiTkgSv4FbBJLHZwFdVB+UMAQgWaQBg9xIEe1umlYu6X3Cd4ywFBWBjYxFx3nkAQlMcZ3VkgrkUwUeRjXY890AzwUVF4FJSwKhUbZ5Te8BlOG6YnN4r5vx8NB86hKiZMzEwIQF7Fi/GsGHDOmuKlFbwjcJ70JMVoTIhEbaamoBXUygUSs9AzPqK9mhiRphKItwJKgg+duwYXnvtNSxevBjJycmYPHkyamtr8cwzz2DPnj2hniPFAwzLgktNdZND2KprAEKCzwQ75BA2L5pgvsHzMq1cgm2fbCkogCorC+rcPmB0OpgOtF0XbCsrBzhO0k2xQWSCCSGwFhSA86IHDgck/XhhSxDc8MMaAED0nIvBxsZ6LYSkdA5SJtjD50yZkADwvF8/bwqF0jPhWwfBjqQYlUS4E9T658CBA5GQkIAVK1bg3nvvxfDhw6FQUKOJjobLSEfzgYMghEj637Y0ygBagmC/mWAPy7RyUPfpAwAwn5AfBPOGJvBVVeDOnQCGZaEdPBjNBw+C8HxArZtbYy0rA5ecDMbx3lWImuB6+UEwX1sLe1NT2OqBAYDLEOYmFscRQlD/w/dgExIQMX48TjEMbvr5J/x4+DAGDx7cmVOlOPC14iK2UbdVVkEZF9eh86JQKOGPraoa4DgoHL/nUsOMCpoJbk1Qkevy5cuRlJSERx55BMuXL8cDDzyA9evXwxhgVT2lbXDp6bA3NbkErLbK0ATB3jKDUsFOkJpgRUQEuPR0mPPkewWLzhCqXr0AANrhw2A3GmE+dSqoOYjYSkslZwjA6QagUX4Q7MseLVwQ5RAWhxyi+eBBWM8WIHr2RWBYFraICBQ0N8NsNnfmNClO+PqcKROFHzSeOkRQKBQP2KqqoIyPl5JjNBPsnaCC4P/97384fPgwiouLcccdd6Curg633347YmNjMXHixFDPkeIFlaM4ztkmTbzTC1YTzHAcFBERPizSxGXa4DTBgCCJMOfn++xK54zoDKHKEoJgzVBBu9rcBqs0u8kEvr4eytRUaZuovwwkE2xx+O+qMsNXDsHGxEARGQmrQw5R/8MPAAD9XKHIUMzq25ubO2eCFDfEzxnr4XMmmd/THzQKheIBW3WVtGIEtPQMoJpgd9qkYdBoNIiMjERERAR0Oh1sNhv27dsXoqlR/CE5RBQ5B8HBN8oQYfV6r+4QLcu0wWWCAUf7ZKtVaIMsA8tZRxDcSwg0tcOFILgtTTNaewQDgMJRGBeIJlgM0MX2xOEIwzDgMjJgLSoCsdnQ8ONPUPXqBc2QIQBabmjsProEUjoW3tAIRqPxWGypjBc7QNEgmEKhuEIIAV9ZJUkgACc5BA2C3QgqCL733nsxfvx4xMbGYtGiRdi/fz8uu+wybNmyBbWO1raU9seTV7Aoh+CClEMAQubQq0VaQ9vkEEDgxXEWUQ7hKD7jUlKgTEqCqQ0OEZJHsMMZAgBYvaAJDkwO4btRRrjAZaTDWlqKpq1bwVdVIXrOHGmpTPJHNhg6c4odTuUrr6DojjsC7hDYEdgbvLcmF+UQtlaWdxQKRT7GnTtRsHQZeENTZ08lpNgbG0GsVrAJLZlgRVSU0GSnigbBrQmqMG7fvn2YP38+nn/+eYwdO5b6i3YSnKPq3zkItlZUgFGpJEF8MLAxemmZvzV2QyOgUECh0wV9/pYgOA+4yP94y9mzYPV6lw54mmFDYdi0GXajMai5WMvKAQCckxyCUavBcFzAcgg2JqZNmfGOQJWRCdjtqHrzTQCAfu4caV9ubi7eyMhAdnRwDVC6InVffomqF18CAJj/+jdo+vfr5Bm5Yjc0em1NLhXG0R80CiVoGtavR9PWrTDt3oXIyZM7ezoho8UerWU1WGqyQ1eP3AgqE/zzzz/jvvvuw4QJE2gA3IkoExMBjmuVCQ6+W5yIQq8X7iZtNrd9fKNBaN3aBjcQVe/egEIhOxNsPVsAzlEUJ6IdNhzgeTQfORLUHFo8glvkEAzDQKHXBySHsBYWhrU9moh4w2TatRuaoUOhys6W9sWmp+P8iEhEyNRod3WMu3ej9KGHpZsnw6ZfOnlG7vCNBq+rLQqdDgqdDnwVzQQDQNP27Wj644/OnkaPpv677wIqdg4HbKXCb0Dz0WOdPJPQ0tItLsFluzIxkd44e6BNmuD8/Hz89NNP+PHHH5Gfnx+qOVFkwigU4NJcvYJtFZVBO0OISA4RHoJBe2Ojx2KdQFCo1VBlZckKgu1GI2yVlW5yA+2wtumCbQ5NsHNhHCBIA+TKIewmkzC3MLZHE1E5aZb1cy522Vdps+F/VZUoOn26o6fV4ViLi1F02/+B4ThkffA+FFFRaPxlU2dPyw1/nzM2kbZBFSl76GGUPvxwZ0+jx8LX16Pk7ntQ+fLLnT2VgLCWOILgY90rCOZbdYsTUSYmgq+uAeH5zphW2BJUENzQ0IDFixejd+/emD17NubMmYPevXtj8eLFaAiw2xalbajS02EpLgYhROgWVx18tzgRqXWyB5s0vrGxTXpgEXXfvrAUFMDux5ZLcl9oFQRrhgwGGAamIB0irGVlYNRqF4kFIBT8yZVDiHMLZ3s0ETETDIUCURe5alAqLBa8Ul2N0gBbWXc17E1NKLxlOfjaWqQ/8zS0gwcjcuJENB84AGt5RWdPT4LwPOxNTT4/Z8qERBoEw9GspryctpHuRERpmdVRwNxVsDoyweajRzt5JqGldbc4EWViAmC301qCVgQVBN9xxx04cuQINm3aBJPJBKPRiE2bNuHIkSO48847Qz1Hig+49HQQoxF8XZ3w5m5DtzgRVh8DAB5t0uyN3gt2AkHdty9gt8PiJ/soOkiosl3lEGxkJNS5fWA6sD+o69vKBI/g1rIRhT5athzCKgboGV0gCE5PB6NSIWLCBLeiSckarqH7ukMQux3F99wD8/HjSFyxAlHTpwMAIqdNAwAYNm/uxNm5YncUKPpqSKOMjwdfW+tRstSTsBsMICYT7EYj7CZTZ0+nRyI6ElkKCsKyyNQT9uZm8DU1AIR5d6fiOJtDJsXGu8shgJZuchSBoILgb775BqtXr8aUKVOg0Wig0WgwZcoUfPrpp/j6669DPUeKD7h0R3FcUXGbu8WJSHKI+jqX7YQQ8AYD2Ki2F1Cp+8lziJCCYA+6W82wYbCVlAZl+2ItLXOTQgAAG60HaW6G3WLxew6L5AwR/kGwQqNBrw/eR+oTj7vvcwTB3dkirfKll2DYsBHRF1+M+JtvkrZHTpoIKJUw/BI+umDeR8tkEWVCAkAIbI4f8p6K+J0HULeMzsJWIWSC7QZDl2nlLWaBGbUaIATmEyc6eUahQ8oEJ7oGwSy1SfNIUEGw0WhEkodAKykpKaiucWfPnsWGDRt82qudPHkSW7ZsQZWPu5hQjelKONukSUFwm+UQYhDsKocgZjNgtYYmE5ybC8B/ECx1ZGtVGAcAWkfTDE+SiIZ163DqotkwHTrsto83GGA3GMAlJ7vtkxpHyMgGWwvFbnHhXxgHANrhwz1a5ykcXrSBFAR2JYy7dqH61degGTIEqf9+zCX7z0ZHQzd2DJq2bYO9KTyyQaIXt6/PmdQ1rpt8jwWLcxDM0yC4U3D+G4jf1+GOWBQXMWECAKD5WPhJImo++BBnrl4S8GqPrbpKcIhqVVNAu8Z5JqggeNy4cXjwwQdhdaomt1qteOCBBzBu3DjZ59m+fTvmzJmD8ePHY8aMGdi/331p22g0Yvbs2RgzZgxuu+02ZGZm4tlnn22XMV0RlyDYcYfXlkYZQIsm2N4qCBYzhd6smwJB1asXwHEwn/CXCS6AIirKTbsLeG+aYfj1VxT/fSUs+fmodliCOWMrE4viUtz2KUTPXBkBoaWgEIxa3eabjs4mNjYW85KTEdVN2yY3HxZuhJLuugsKjcZtf9TUaSAWCwxh4jAg53PGijZpPTzwo5ngzsdaXi79W1wdC3fETHDktKkAAHMYOkQYNm2CaffugF03xEYZraV+omUazQS7ElQQ/Pzzz+Ozzz5DVlYWZs+ejdmzZyMrKwtfffUVnn/+ednnOXXqFG6++Wbs2LHD65gHH3wQhw8fxsmTJ7F37158+eWXuOuuu/CH0w9WqMZ0RVqC4CLpB6EtjTKAFjmErdXSFt/Y9kYZIgzHQZ2T4/cDbikogKpXL4+Wb+q+fcFoNC664KbtO1D0fyvARkRAM2gQGjdscCt6aukW50EO4ZB6yMkEWwoLwGVmtMkuLhzIycnBC+eeh7RuapFmc6wwtV4eFJF0wWHiEiHJIfwUxgG0a5y1mwXBpkOHUfXqq11GWwsIjkQiYmOjcEd0htAOGwY2Pj4sHSKsJSUAANO+wOpebFVVYD1810mZ4B7+ndGaoH69R44ciby8PNxzzz1IT09HRkYG7rnnHpw8eRIjR46UfZ6rr74ac+fOhcJHEPHee+9h2bJlkvxi9uzZGDFiBFatWhXyMV0RZWICGJUKluJi6QchVJpgr5ngEMghAEESYS0u9lqUYDeZYCsr89qNjVEqoRk8GM0HD4HY7TDu3YvCW24Bw3HIfOstJCy/BeB51H3xuctxkkewh0yw2DXOXyaY8DysxSVQZXYNKYQvmpubUahQwNgNgghPiDpFT6sJAKDKSIe6f38YNm8OC/sgqTW5r8I4sWtcD1/adA7AuoMcoua991D53xel5fqugK28XGrOZO1imWAuLQ2agQNhPnEirIpMCSHSHAPpjErsdthqaqTW6s4o4+MAhqGZ4FYEncLS6/W4/fbb8eabb+KNN97A7bffDn0bupR5ori4GJWVlRg1apTL9lGjRmHfvn0hHeMJs9mMhoYGl0e4IXgFp0lyCEalkpb0g0UqjGtlkdaSoQpNZzGxOM5yynM2WLIg6+U90NQOGwa7wYCGH39C4U03A4Qg843XoR0yGJGTJ0OZkoK61Z+BOGU5JY9gD5ngFjmE7yIxa2kZYLOBc/Lf7aocOXIEk7/8Aifr6mQVBHY1xPcx6+NzETltKvjaWph8fB90FFJrcl+FcQ45hOgJ2lNxlUN0/SJB0XHGWWIQ7lgryqHOzgYbG+u102i4YSsrhSIiAoqoKGgGDgAxm2E5c6azpyXBV1cLNTgATB5kol6Pq68HbDY3ezRASBqxcXE0CG6F7CC4rq5O9iNUiIVycXFxLtvj4+OlfaEa44knnngCer1eemSGaVMELj0d1uIS2MoroExKalO3OECQKigiItwqfaUMVagywX19O0SIRRaqLPeiOBFRF1xy110gZjMyX3kZOsfNDqNUInbxItgqKtC4qWWp2+rQBHvMBEtBsLtHssvcHEVx3SET7AxfW9fZUwg5fG0tFHo9GB/dLaOmCZZpjWHgEiHnc9ZS6U2DYDEL2R1uCCzFgle3c4Y7nCE2G/iqaiiTk8FlZcJS2DUK46wlpeDSUsEwDNQDBgAIr85xohQCACynTskuWuYlj+B4j/uFrnFd/3MSSmQHwbGxsbIfoULlqFo3tfJ/NBqN0r5QjfHEfffdh/r6eulRGKZ3uVx6OojJBMvp022WQoiwer2bO0QoNcEAoO7XD4D3O12Lw3xd5cEZQkQ7dKjwD5ZF+gsvSNW+IjELFwJKJeo+/VTaZisrA6PTeXweYhDsTxPclezRAqGrWBwFAl9XJzmeeEMzeBCUSUkwbOz8IFjO50yhUkGh1/f4HzRbRQW49DTHa9G15RB2k0lq+mHrIplgW1WV5E2vyuoFvrIqbFxWvCFKDUSLTM3AgQDCyyFCDII1w7w7IHlC/D5gPWSCAcFa0VZZ2aU05+2N99SIB3bu3Nle8/BIZmYmFAoFilp1sioqKkJ2dnZIx3hCrVZDrVa3+Xm0N2JxHLFYQuZUoIhxD4Lt0jJtaDLBXEYG1IMGomHNj0i65x63NrGSR7APOYQyLQ0Jt90KzeDBiJoyxX1/YiKiZlyAxp9+hvl0PtS9c2AtK/PYKAMAFNFiy2g/cgjRHq3bZYK9r4x0Vfi6OihT3O3wnGEUCkROnYq61aul90lnYZd8gn1/zpTx8d2iGCxYCCGwVVQgIjcXpNkMW03Xfi2sTr9Ptsrw6WDoC8mWMzlJSiBYioqg6d+/M6flE762FsRsBpeaBkBIsjAajV+HCN5ggEKn65BCaGuxEARHX3QRmg8cgGn/fkSed57f48QbQU9yCED4PSTNzbA3Nflsy96TCOivOWbMGIwZMwbbt2+X/u3pESq0Wi0mTpyIb775RtrW2NiIjRs3YubMmSEd05URg2Cg7UVx0nliYtwzwdIybWgywQzDIPaKK2A3GlH/3Xdu+y0FBVBERIBtJWNpfY7E5cs9BsAisVdeCQCoW/2pkAVwBMGeEIuR/MkhLAWFAMOAy0j3Oa6r0d0ywYQQ8LW1UMb4X6GKmu5widjUudlgSQ7hLwhOSOjRmWC+rg7EaoUyKQnKuDjwnZwJbvzlF1S++FLQx1sKW4LgrqIJFufJJSVJ7eMtYe4VLDpDcI5MMMOyUPfvh+Zjx7xmSK3l5cibPAU177zTMXN0FMVFXTAd4DjZumBvLZNFxO1dRW7TEcgOgjmOg81RPXnbbbeF5OKlpaXYsGEDtmzZAgDYvXs3NmzYgNNOrXQff/xxrFmzBnfccQc+++wzzJkzB+np6Vi2bFnIx3RVVBnOQXCIMsF6PeyNjS4Vs/YQF8YBgH7OHCgiI1H3yaduX0CWgrPgemW1WeOsGzsWqtw+qPv6G9gqKkCMRo8ewYAj+8YwsNf7kUMUFkKZmiI1mujKjBo1Co1btmCQRgO+rntlgonJBGKxeHWGcEY3bhwYnQ6NnSyJ4Bsaweh0YDjO5zhlQgLs9fXdsphRDuIPuTIpCWxCghAUd1KFv7W8HCV33Y2qV16RVrACPodzJriLBCktmeBkycUn3B0irKVClpVLaymM1gwYCL6mxuvrXv/dd7A3NcF0QJ4soc1zLCkBOA5cejo0Aweief8BWRIGW5XjM+EjEwxQr2BnZAfBAwcOxO23344PPvgAAPDhhx96fcjl4MGDePLJJ/HWW29h+vTp+Omnn/Dkk09KQTEAnHvuudi6dSvq6+vx3nvvYcKECdiyZQsiIiJCPqar4pIJDpEcQnKIcNLGhtoiDQAUOh30l14K88mTMO3e3XItsxm20jKfemC5CBnnK2FvaED1228D8OwRDAjL4oroaEmX6QlCCKwFBVBldB89sNKh5e9umWBR3iEnCFao1Yg87zyY9u7t1HbE9sZGWUuVbILoENG1ZQDB4twmXulYLeqsv1v5E09KWljD71v8jPaMpUgIHhWRkV1HE1ze8jcQg+BwzwSL9nNiJhgANAPF4rgjbuMJIWhwrFSKf6NgIISg+p13ZTnQWEtKwCUng1EooB02DHxdnaxufOJqiOge0xoxSSYGy5QANMFvvvkm7r77bklSsHLlSq9jlyxZIuucM2fOlCVHGDNmDN7xswwRqjFdETYhAYxaLeicQlYYFwNAsJcSf2B4gwFgWTBabUiuIRJ75RWo/eAD1H78CXQOOY21qAggxKczRCDo589DxXPPoe4ToUDOkzOECBsV5VMOwdfVwd7UJC3/dXWOHz+Oa//yF/zLYkZcN9MEiw1fWJkFu5HTp6Fx/XoYNv+KmMsubceZeYc3GGQVn0oNM6qqXH7QewotQXAibA5nCL66OmTfgXIx/PYbGn/+GRETJ6Jp+3YYfv8NcUuuDvg81sIigOMc3ucdk3FsKy1/g2QoInRgdDqpXiJcEeUQSucg2OEQYT52zE1aZz56FOaTgo2ntag46Osat29HxdNPI3LqVGS++oqfOZZIc9IOH47aDz+Eaf9+v0khW1WVUPTtJbknySFoJlhCdib4nHPOwebNm6XisrKyMq8PSsfCMAy4NEHkHzJ3CEfmjK+vk7bZGxrARka2WZ7QGnXv3tCNG4eG9eslTZNUFOelUUagsFFR0M+dK/kFe/IIlsZGR/uUQ0jWbd2kKK6pqQk79uyByU66XybYT6OM1kROngwwDAy//9Z+k/KD3EywsofbpInFY8qkJKk5QEd7BdtNJpQ98igUOh1SH30EulGjYNzxJ+xBtCC3FhWCS0sFl5oKu9HotYlQOGGrKIdCpwMbGQGGYaDKzAz71snW0lKhnsPpt1Ldrx/AMB5t0uq//VYY07cv7A0NbrUycql6/Q0AgCU/3+c43mCAvaFB+k3XjhgOADDt9980w1Zd7TULDLSsFPM9uJagNUGVOYarVVhPRpREhFwO4RQUyc1QBUPslVcCVivqvvgSgLM9WugCzdgrr5D+zflwC1Dofcshuqs9GjjOrVV2V0f0PZYbBCtjY6Hq1ctvpXh7Ij8TLPzY2bqBP24wOLeJV8Y7Vqs6+LWoevU1WIuKkPB/t4FLSUHkpIkgzc0w/hmYkxIhBJaiYqgyMqFMFr6bbBXhL4mwVlRI8wWE70RrSQlIGOvUraWlUCYmgnGq51DodFBlZ7vZpBGbDfVrfoSqVy9Ez74IgGsBo1xM+/bBuH274/hCn6+P6AwhBsFcRgbY2FhZxXG2qiqvemCAZoI9EVQQnJHR9btkdTdir7wCcdde0+ZucSKir6rzXa+9sREKH61c20LU9GlQJiaidvVqEJ6XetCHQhMsohkwANqRIwGW9Z0JjooWigLtdo/7Ld3UHo2Niup2zTL4AOUQAKDu3x+Ws2dhb+Ur3hEQmw3EaIRChu5e/EHrqVkda0UFwLJg4+LAxos3BB2XCTafPInqd96BeuBAxDkkgBETJwJAwCsJfHU1iMkELjOjRbdZEf42abZy1yCYy8wC7HaXZg/hhrW0xKN8SDNwAKxnC1wy8E1//AG+qgrR8+eBc9SAWIsCD4Kr3ngTYBhETpsG8LzPznrWEkFywaULQTDDMNAOH47mY8dgb272ehzhefA1NT6DYEVEBBQ6HQ2CnWh/wztKhxA1fTqS77svZFIFMXNmbxUEsz5aubYFhuMQs2gRbKWlMPz6K6xnC8DodF5Nv4Ml7emnkPHy/8BGei+IZPXRACFSIWBrrJJUo3tlghXR0T1eDgEA6v79AEJgzvPczrs94aXiU/83sz29a5ytohLKhAQwLCstAXdUVpzY7Sh96GGA55H68ENSN0J1375QJiej6bffAzqfGBSpMjLAiZngMC+OsxuNsDc2ujgSScVxYbpabLdYwFdWQZnmHgSrBwhNM8wnjkvb6r8RpBD6efMkO0xrgMVxzcdPwPDLL4i64AJEXXABAN+SCPEGQswEAw5JhM2G5iPeG3rwtbWA3S4VzHpDmZjYY78zPEGDYIpHRDmEuDxOCGlXOQQAxCy6HGBZ1H78CSxnz0KV1XZ7tNaoMjN9egoDLRZw3iQR5tP5YBMTJHP4rk52djY++OAD9EpN7XbNMgJxhxARjf7Nx4/7GRl67AbRhlBGJjguDmCYHtsww1ZRIdVAiEEw30GZ4Pqvv4Zp927EXnkFtI6uXoCQtYucNBGWM2cCCgTF7CKXkSk9J2uYZ4IlOUorOQQQvg4R4o2F2CjDmRaHCCHQ5A0GNG7cCO3o0VBlZECV6XhuAWaCq998EwAQf9NNUhMe8+kAg2Cxc5wPSYQ/j2ARNjGBZoKdoEEwxSNiECxmgonRCPB8u3aZ4ZKTETVtGpq2bIG1pCRkRXGBIga3ngogCCGwnD4NdU7vjp5WuxEXF4clS5YgPiVZkIE4ige7Ay1yiBjZx6gdQXDz8RPtMCPftNgQ+r/ZZJRKsLGxPbJhBrHbYauslAJGRqcDo9F0yA2BrbYWFU8/AzYxAYl33OG2X5JE/CZfEiEFwZkZLZrg8vAOgq2iPVpiS4EZF+Zewa0bZTjj7BABAI1r14GYzdDPnwcAYOPjwWi1gouHTCwFBWj48UdEnHcetEOHQJUjBMEWp14I7nMUgmAX94qhQwGG8RMEi/ZovoNgZWKi4KkdxrrtjkS2RVpeAEuDubm5QU2GEj5IgWCdEAjyUoaq/TLBABB71ZVoXL9esEcLoR44EFi98NztDe4OEbaKStibmqDqxLa6oaayshKfffYZJnMcWAjBv79sQlto3LwZDKtE5MTz2+0aInxdHRQ6XUBNTbi0NCgiImA+0fFBMC+1TJb3ORO6xvW8rA5fUwPwvLQUzzCMo410+98QNHz/Pfj6eqQ++YTHm5WIc88FlEo0/fY74q6WZ5UmFlupMjOh0OkAhSLsNcHOjTJEuJQUQKkM20ywp0YZIsrERLCJCZJDRP1334FRqRB94YUAhPeYKiM9IE1w9VtvA3Y74m++CYCQXGLj4/3KIZSJiS7fWWxUFNS5fWA64CsIdjTKSPQTBIvWitXVPdJasTWyg+C+ffvKPqmcziaU8IZRqaCIiJCyoVKGqp0K40R048dDlZMDS35+SJ0hAkGSQzS4yyEs+cIdvLp398kEFxYW4tZbb8WGlSuRBiFwbM8guOyRRwCrDbm//RpyuUtr+NragKQQgNAwRd2vH8zHj4MQ0u5zdEZqmSyzIY0yIV6WdVJ3w9kZQoRNiIetrP11tE1//gmwrKTvbA0bGQndyJFo2rEDdrMZCrXa7zmthYVQREdLyQdlfHzYa4JF9wpnTTCjVEKVni4VD4cbnhplOKMZMBDGHTtgKSyEcccORM2a5SJ74zIyYdiyBYTnwbCsz2tZy8tR//XX0I4cCd3YsdJ2dU4Omk+c8PrdYi0pgSot3W27Ztgw1H/5FawVFR69sMWmOb4s0gCnrnE91F+8NbLlEPn5+bIflO4Bq9dLy8miPlZuhipYGIZB3LXXAAA0gwa167W8IWaCPTXMMDuWsVTdSA4hImb521MXTOx22CoqYaushLU4eON5ufB1dQE5Q4io+/cDX1fX4e1rxRsvua3J2YQE2JuaYDca23NaYYfVqVuciDIuHraamnZNwhC7Hcadu6AZPNinNCxCtErbtUvWeS1FRVA5uS4pk5JgrewamWBnTTAgSCKshUVe3XU6E0+NMpzRDBgAYrGg8sWXAECSQohwGRmA1SrrBqXm3VUgVivib77JJdhV5eQIfsMepDt2sxl8ZZXkDOGMdrjgF9x8wPNNr1jsxib4tkmlNmmuyA6Cs7OzZT8o3QNFjN4tEyynYKetxCxejNyNGzovCI72Loew5J8BAKnAoTsh2uu1p1cwX1sL2GwAANOePe12Hel6dXUBZ4IBp+K4Ex1bHBdoa3Lnpc2ehM1TEJwQD1itHj+3ocJ84gTs9fWIOGesz3GRkyYBgCyXCGKxwFZWBi6zxW1GmZwMW0VlWAaSIpImuNWqkSozE8RsDssgy1paCkar9fqdIBbHNXz/PdjYWESe7yrZUmUKNyr+iuNstbWoXb0a6v79hQY8zudwrCJ6kkRImeo070GwN12w+B2glOEOAaDDb/DDFVoYR/GKMiZGCoL5AAp22grDMFLzj87Apxzi9GkwGo3XTEJXRsxstWcm2FnnaGznINhuscBuNAYVBKs7ySGCN4g3mzI1waI1WA8rjhN/wJ2DYDZOtElrvxsC459/AgB055zjc5y6Xz8ok5Jg+N1/EGwtKRFqIDKdMsHJSYDNJmifwxRbRYVQLNZKby+2kxe7foYT1tJScKmpXiVOok0aAETPnu3+3BzZen/FcbUffgRiMiH+phvdruXLIUIqivMQBKtzc8HodDDt8xIEV1VCERkJhUbjc26SD3UP+87wRlBBMM/zePXVVzFt2jTk5ubSTHA3RaHXC24BNhvsARbsdGV8yiHyT0OVkwNG0X3uH6OiojBz5kzoHQ1ExGLI9sA5CDbtbt8gWOoWF4wcwlED0dEOEYF+zsQimJ72g+YxE9wBNwSiHlg7apTPcQzDIGLi+bCcPg1LkW/Zj1gUxznJIUTNZzgXx9nKy11efxFVllDQbA0zr2BCiBQEe0PVKwuMVgvAXQoBOAXBxb6D4MZffgGbkCAV1blcw4dDhGSP5mGODMtCO3QoTIcPgzhW05zh/XSLEwlUDtF8/DhK7r0vqFbgXYGgfsmfeOIJPPXUU5g9ezZOnTqFlStXYtKkSSgqKsJll10W6jlSOgmpdXJDQ0vBTjsXxoUDYrbb3ioTbDcaYSsphTonuxNm1X707dsXa9euRX9Hj/r2bJghfvEq9HqY8/LAB7l0XXLfP3D22ut8jgmmUYYIGxUFLi2twzPBgRfGObrG9UQ5BMe5/G1ZsXVyO2VP5eqBRSInOiQRfrrHic0XxI5kAKBMEnS21jAtjiOEwOalQKvFKzi8gmB7fT2I0ejRGUKEYVlEjBsHzZAhgi1ZK0Tdtq/WyXaLBeaTJ6EdOtRj8RyXng6G42A+4z0TzHkojAMEv2BiNHps5GOrqvbbKANwJAVYVvbNYv1XX6P+m29ktW3uigQVBL/77rtYvXo1Vq5cCQBYvnw53n//fbz66qs4dOhQSCdI6TxYfQwAITMYqHVTV4ZRqcBotW4BmuXMGQDdryiO53k0NDQAogykHeUQYkFT1AXTAUJg2rcvqPMYd+6Ecc8en5rJYBplOKPu3x/m06c71E+z5XMmLwhm43tm1zhbRQW4xESXpWbRH1X0Sw01cvXAIhHnTgBYFgY/umBRX+oih5AyweGp2+Tr6kCsVo+Z4BbJQHg5RFgdeltlSorPcRn/ewm9Pv7Io2RCodOBjY/3meU2nzgJ2GzQDB7scT/DslBlZ8PiSQ5R7AiCPRTGAY7OcYCbJIJYreBra6UaAV8wCoVgrSjzBkuUtYRzK+y2EFQQfPbsWYxyLAdptVo0OvSiixcvxh9//BG62VE6FTF44OvrYG8UAkK5GaquDhsd7SaHEDVc3ckjGAD2798PvV6Pg3knAY5r30ywIwiOnjULQHC6YGK3Cxkyq9VnBjSYRhnOqPv3A2w2mDvQ8cbe0ABFRIRf+yWRniqHsFZWuAVgYkEQX9M+QbBcPbAIGx0N7cgRglWajxspa2ERoFC4LIErkx1BcJhmgj15BIsoNBook5NhORueQbCnbnHOMEqlT19xVUYGLD7kEM2HDwPw7W6kysmBtajITWJgLSkRrPK83ASLneNqP/oQVa+9DsOWrbDV1sJWI9zw+7NHE+EyM2ApKJDlpCJ6PneEm09nELQmmOM4AIJrhBj45uXlQS3DE5HSNZDkEHV1LRmqDiiMCwfY6Gg3OYSo4epOHsHOMAwDNkbfzoVxlYBSiYjx44UijyB0wbaqKsDR1c7qwxe2LXIIoHPaJwfampyNiRGWNjugSUS4QGw28FXVbkEwK2mC2ycIbtEDj5Z9TOTESSBGI0w+rNIsRYVQpiS7FGFJmuAwtUkTg3MxWG+NKisroLbRHYEUBPuQQ8iBy8gAX1kFu8nkcX/zkSMAAM1gH0Fw7xyAELfiQWtJiUdnCBFlYiKiZsyA+dRpVL7wAgqXLcPJCecif+ECx355/u6q7GzBps1PwoPwvJT1pplgL9x888244oorMGfOHMycORNXXnllKOZFCQPYGEcQXF8vWDdxHJgecpOjiI52k0OYHY0yVN24+FMZE9vumWBlYiIYlQra4cNgOngw4DbNtrKyln+Xl3kdx9e1XQ4BCIUhHYW9sTGg1RZGoYAyLg58D5JD2KqrAULcg2C93nFDEPogWNIDDxkMNjJC9nGRk8QWyt4lEdbCIqic9MCAoJln1Oqw1QR7albiDJeVKSvI6kj8NcqQC5cpFsd5zow2HzkCNiHBo1RERC0Vx7WsMhGeh7W83GcQDAAZL72I/rt2otfHHyH5H/+Afv48sNHC+0XMFPtD7fgNEy0/vWEtLZW+n0WpRndDdsc4Z0xOd0ArVqxARkYGtm3bhksuuQTXX399yCZH6VzETLC9vh68oRFsVFSHds/qTFhHEOzc1cdyOl9oqeuoHu6OsDEx7dou2FZZCWWKsISqGzkKxm3b0Xz0qOwvb6DF8B4ArKU+gmCHO4QyCHcIQMhmMWo1zB3oEMEbGt0CIn+wiQk9Sg7hyRkCEG4I2LjYdikSbNEDy5NCiKgHDIAyORmNGzci6Z673b4/xQQD56QHBhxtoJOSwlYTbJUywe5yCABQZQrdPi2FhdAGeRMqQiwWN6uyYJAaZfjRBPujpTiuEOrcXJd9xGqF+fhx6MaP8/lb2eIV3OIQYausBGw2v0EwIGiTdaNGQefkUhJId0vJoSI/H7pRI72Oc85U00ywE5pWPnQLFizAs88+i2XLloGVqWWjhD8tmuB62BsaO6RRRrjARkcBVitIczMAIRNkOXNG+vLqrrCxsULwz/MhPzfhediqqiSzdu1o4QvcGKAkwlrWEgT7zgTXAQg+E8wolVDn5naoHMLeaAj4c6ZMSICturrHtKtvCYLdi4CU8QntkgkOVA8swjAMombOhLWwEOajR932iy4Dqkz3Gx9lclL4aoLLPd+IiEgOEW3UBTdt24bjo8fA8OuvbToPIGQ12YQEWW2sfSG6eHjyCjafOgVisfht9CQGoc71Bi3OEP6DYE8EkqASVzPFYm9viEGwQqcTssLt8LvQ2QQVBB86dMjng9I9cNEEGxrB9gBnCBFFdIs9HCBkEYjZ3O2K4gBg6NChqKiowNChQ4WAkZCgrct8wdfUADwvLaFqh48AFIqAO8eJy5qAb02wra5WcvoIFnX//rBVVsLWAU0LiMUC0twc8OdMGZ8A0twMe1NTO80svPC1FK+Mi2uXTHDTDoceeKRvf2BPRF8oFIE2/LzWbZ9kj5ae4baPS0oCX1vrs6ius5As6ryssnCOTHBbHCKIxYKyRx4FsVoFPXYb8ecRLBdfXsHNh0U9sGdnCBE2MhLKxEQXOYTkDBFkEBwIXGYmoFD4DYKtjiBYN3as0C46DLsAtpWg5BBDPfjnOdNTMhLdHbF9MF9XL2SoHCboPQHpudfXg0tOlpatumNRHMdxSHRkZ8UfNb62LmgZgTesrZax2cgIqPv3h3Hv3oCW8qylZYBCAUVEhIs+uDV8XR3Y2Ng2SXg0/fuhHsJyuHL8+KDPIwfe4Cg+DdCL29n8Xo5/bVen9fvIGTYhHnajEXaTKWSyJWK3w7grcD2wiHbkSCgTE9Gw9mck3nG7y/tRLB5TZboHwaJXsK2iEqqMzuug6QlrRbmbRZ0zofAKrvngQ6m1sPnkyaDPAwgyBVtFRUCyK29wKcmAUunRK1h0htD6yQQDgiSi+eBB6btPygR7sUcLJQqVClx6uoxMcAEYjoN2zGgYfv1VKNxro5wk3AgqE1xaWuryKC4uxubNmzFy5Ei88847oZ4jpZNgVCooIiLA19XCbjB0SMvkcEFsCmJ32P+JzhDdzSMYAE6dOoV58+bh1KlTLRKYOvkOEYTn0bBund9MpJhFUCa2BC+6UaPAV1XBWiA/Y2QtLYUyMRFcejqs/oLgNuoRO7J9sj3I1uRiRXhPaZjhTRMMOHkFV4cuc28+fjwoPbAIo1AIkoizBW7vI6ujmxznUQ4hBsHhJ4mwVVR61QMDwioiq9fD4iET3HziBAxbtvo8v7WiAlUvvwwuIwOq3r09NocIbL4VgN0ekkwwo1SCS0uDtchDEHzkCFi93mPb49aoeucIDZgcuu+2yiECRZWTDcvZsz691i1nz4LLzJQ03t3RJi2oIDglJcXlkZaWhsmTJ+P999/H//73v1DPkdKJsHq9sExDSI+xRwOc5BD1gixA9AhWd0M5RH19Pb7//nvU19dLnrqBVHVXvfwyiv9vBeq+/MrnOE9aTq2jKMO4Z6/s61nLhGVNLjkZtvJyr1/ifG0IguB+/QB0TPvkYBvSsB3QLjicsFVUgtFoPH4fKcWucSG0jAtWD+xM1KyZAICGn3922W4tLASj04GNi3M7RvychFvrZOLw5/blfgAAXFYWrE6aYFtlJUr++U/kz78EhcuWoebDj7weW/mf/8BuNCL5vnuhGTQItpJSaaUkGEJljyaiykiHpajIZdWb8Dyajx2DZvBgWatPkkOEY5XRWlICRqPx+F5oD1TZ2SAWi0uhsTPEZoOlqAiqrCxw6cJKRHd0iGizRZozvXr1wvEObjNKaV8UMXpYHHeoPaVRBgCweoccwtEww3L6NBSRkWBl9GbvykiZYIezgj+advyJqldfA9BiIecNMePh/OMpVjfL1QXbLRbwlVVQpqZAmZIidUpqDbHZYG9o8KpZlIsyLg7KxMSOyQQ7WiYHXhjnCJY62CbNbjIJBXkdXCxjqxAaZXgKNKQOegFmxa3l5V6zjU1/7gxaDyyiGz0abEICGn9e6xI4WYqKoEpP9/hcODETHGbFcbaqKsGizotHsIgqM1PQ09fWouq113Fq1oWo/+JL6MaOhSonB+WPPYa6L790O864Zy/qv/0OEeefj8hp06Du2xcAYGlDNljqFheCTDAgFMcRo9Hlu8dy+jRIc7NPf2BnxFVFUfJhLSkBl5raYQ5M/orjrKWlgNUKVa9ekkSjO2aCg9IE22w2t221tbV48skn0bsbaiZ7MqxeLzUm6Aktk0XEJWmxYYY5Px+q3r27vUWcqAOWI4ew1dai5K67hMIzm80l6+NxvIdlbC41Fcq0VNmd48SAgEtNkyQr1tIyt05JYmGf6HXdFtT9+8O4cycIz8vu5BYMfBvlEB3ZMKNh3TqU/uN+2A0GgGGE5e/YWLBxceCSk5F0z91SEBdqbBUVUPXx/DsjZoIDDYKLV9wO04EDSPr7nYi74Qbpc95WPbAIw7KInjkDtR9/AvOJk9D07yf4wpaUIHLSJM/PxfE5sYZZJlj6DPrLBPcSltBPXzQbfF0duF5ZSLv7bkROmwZbeTnOXr0Epf98AIxGA/3FFwMQsqlljz0KcByS//EPMAwDdV/Bhqz55EloR4wIas5ittNftzi5tLSGLoTSkbmVmmTI0AMDLauK5tP5IITAWlIC3UjvdmWhRu0cBJ9/ntt+0dlDld1LqK3QarulTVpQmWCO49weSUlJ+PDDD/Hiiy+Geo6UTsR5ObknWaQ5u0Pw9fXgq6qk5avuTIsmuM7nOEIISv9xP2wVFUh54AGoevXy2yFKqihvJVHQjRwFy6lTsiQY0o9ZSgqUyUKBhiebNDFD01Y5BCC0TyZmc7u3gRVvuAKVHSk7UA5BrFaUP/kUiv9vBRiVCjGLFiFqxgzBL1WhgCUvDw0//ojGte5OCKHAbrGAr631GoCJ0pBA9NG2ykqY9u0D7HZUPPMsSlbeJXUDa6se2JmomYJLhPja2MrKAJvNY1Ec0BIEi3Zk4YLVR8tkZ8QiYmK3I+nee9Dn++8RNX06GIYBl5KCrFXvQpmYiJJ77kXjL78AAOo+/wLmI0cRf+01UpAYmkywqLcNkRwiU/QKbtEFt3SK8+0MIaJMTQWj0cBy+jT4ujoQk6lDiuJEJK9gL5lgy1lhO5eVJfzN0tJoJlhk06ZNbttiY2PRv39/Nw9hStdGtEkDADYquhNn0rE4yyHE5aru6hGcnp6O//znP0hPTwfrqKi3+WmdXPvhRzBs2oTouXOhv2Q+GjdsgGHzZhCrFYyjpXprbJWVHivKtaNGomHNGhj37kXU1Kk+r2sra9H2KSKEzJyn4jgxoA6Fw4XUPvnE8XbVhItyiEAzwYroaDAc1+5d46zl5Si+406Y9uyBdtQopD//nFu211pegbzJk/1WnQcL76G40hnphiCAwjjDb78BAFIeehBNW7eiYc0amE+fRub/XgqJHlhEN3YM2Lg4NKxdi8T/u00KoDgvzVEUGg0Uen3YaYJbPIJ9B8HRF10EMApEnHeux8+hKjMTWavexdklf0HxituR9vRTqHzhBSgTExH/179J47j0dDBabZscImylZWBUqpDpbaVMsFNxnOnwYSiiojwWOXqCUSigys6GJT+/Q+3RRJTJyUIQ7jUIFuzRVL2yAQiuFcbtO0DsdjCKkCppO5WgguApU6aEeBqUcIXVx0j/7kmZYGc5hNnRWrI7egQDQHJyMu68804ADntDlvWZlW0+dgwVTz8NLisLKQ/+CwzDCGb/PA9raSlUWVkej7NVVHj8kteNHg1A0AX7C4IlbV9KKhQROuG8PoLg0GSCW9onR194YZvP541gC+MYhhG6xrWjO0TTtm0o/vtK8DU1iLvuOiT9/U6PNzvKpEQodDqXJgChxJc9GgBpaTqQwjjD5l8BhQJRs2YhZtEiVL32GqpefAn5Cy8XrtNGPbAIw7KImjEDdatXw5yX1+IR7MP+jEsKv4YZvpqVOMMoldDPudjnGHXv3sh6+y2cvfY6FN8hfAelPfO0i/SEUSig7tMH5pNt0wQrU1NCJmcTg2CL429I7HaYjxyFZsiQgK6h7p2Dhh9/guX0KeG8HRgEMwqFsILn5bNqddijcakp0tyIxSIURSb6/tt3JYIO500mEw4cOIDNmze7PSjdB+cgoidZpDE6HaBUgm9okOzRuqNHMCDo+T///HPU1tYKAZVe77Uwzm40oviOO0EIQfp/npV8aVUO/Z83yQCx2WDzUlGu7tsXishIWQ4RYptkLi1VykJ6apgRUjlETg6gVLZ7++QWi7TAbzaV8e3XOrnuy69QcMNSEIsF6S/+F8n33uM1288wjCO7dUbWuatee92vq4gznoorXa6vUgnZ0yp5NwR2iwVNW7dCO2IElLGxYBQKJN5yCzJeeRnEYoH5+PE264GdcW6c4atbnIgyKQnWysqQeO+X/POf0t+xLYiWbf40wXLRDByIrDffEFoBn3MOoufMcRujzs2FrbIyINcaZ4RGGaELMNmYGCgiIyWLO8vZs7AbjbKlECKqbCGx0vTHNgAdGwQL18+GtaQEdrPZbZ9ojybWQbQ4RHQvSURQmeCNGzfiyiuvRKWX7iG0WUb3wVkO0ZMK4xiGARsdDb6hXnA9YFmfP1Zdmfz8fCxatAi7d+9GbGys0DrZy49N+RNPwpKfj6S77oLWqWmO2CHKky8o4Fietts9Bi8My0I7fDiMO3fCbrFAoVJ5nau1tASMWi01wVDo9b4zwSGQQzAqFdS9e7e7QwRvCE4TDAgNM5qPHQuo6YgcCCGoeu01sPHxyP7wA6mi3BeqnBw0HzkCu9EIhU7n/dxWKypffhnKuDjoL7tU1rx9eQSLKOPiYKuRFwSbdu2C3WhE5OTJLtujpk1D9merUfboY4hZcJmsc8lBN3Ys2NhYNK79Gep+wgqDGFx4QpmcDGI0hsSn3fDrr+Arq1D54otIWrky6PNYKyqgiIyU5EihQDt8OHI3/QJGq/X4PhB1wea8POjGjAno3HxjI+yNjSHxCBZhGAZcRgasjjoIqVOczKI4EVFi17RV8E3u8CA4JxsgBNaCAuk1Blrs0SInTmwZKwbBJSVBFyiGI0Flgv/v//4P1157LSoqKmC1Wt0elO6Dc3V9T7JIA4TMt72hEZbT+VBlZoLxEZx1J9iYGI+2Y9ayMtR98QV055yDuOuvc9kndoiyeukQ5S940Y4aCWKxSB2XvGErLQOX0rKsyaWk+NQEhyITDAiSCGtxseTg0B7YGwWnhWCCC2VCAmC1wl5fH9I5mY8dg7WwENEXXSQrAAacrJccmkJvWM6eFVqxlpdLwYQ/5CzFK+PjwcvMBDc6Vi4jPUj81H36oNeqd6GfO1fWueTAKJWIuuACmE/moWn7digTE312thNtyNqqC7Y3N0ua8eq33vbbrMIXtvIKv0VxwcDq9V5vgEWHiGCaZojvrVAGwYBQHGctLQWxWp2K4gILgsUaA1tlJcCy7fK6+kL8rJpb6YKtpaVC0Wavli6xYoBu6WaZ4KCC4LNnz+LBBx9EYmIilEql24PSfXDJBEf3nMI4AEKWsaYGloKCblsU5wk2NgZ8fb1bE4r6b78DCEHctde4FUZwqakAy3p1iGjpFuc5eHHWBftC0Pa1/JgpU5JhKytzW32yhVAOAQjtk4G2t2/1Bd/YAEVkZFBFJ2yCoyDMy+pcsDSuXw8AiJpxgexjpKpzP7pg54DGuHOnrHNLQbCXwjhAcIjg6+pAPFh5OkMIgWHzr1CmpkLdr6/PsaEkyiGJ4KurJW2pNzjJIaJtumDR2ip69kVQREai5N57g5bP2MrL/eqBQ42UCT4R+OevafsOAIB25IhQTglcegZgt8NaVobmI0eg0Olk3yiKOI9XJieB6eD4SbJJayVfspwRi+Ja6js4p0xwdyKoILh///4oCKDNKaXr4qIJjux5mWC+qgqw2bplpzhvsDExAM9LGlVACBjqv/4abFycR19ThuOENsYFnrN//jLBmiFDAADNR456nRff2Ai7weCS0eGSPTfM4OvqAZYNWZdD9YCBwvwOHgzJ+TxhbzQEXXyqcXS2a9q2PZRTQuP69WDj4qSbFDmocrIBuGeXWuNc6GT8U2YQXFkBRUSET42u5BBR49shwpJ/BtaCAkROmdyh/t8R55wjJRc4L/ZoImJmsK1ewaKOUzduPFIeegh8VRVK7vuHz5a5nuANTbA3NYHz4wwRapQpKVBERgaVCW7asgWMShWwjMIf4t/OUlCA5iNHoB44MOAbWIVOJ93Ud7QUAvDeMKPFGaIlE8zGx4NRqbqdJjioIHj58uW47rrr8Pvvv6O0tBRlZWUuD0r3QfyyZtTqHiMHEBFt0oCW7FZ3RKvVYuTIkdA6lmVbGmbUSWNM+/bBcuYM9HPneC2KUmVmwlJY5LEmwN8yNhsZCS4rC83Hjnmdp9T61FGt7Pzv1rpgvrYWbExMyIIb7YjhgEIRUHvn1thqanB6/iUw7trlcb+9sRFskLr7yClToIiIQP1338kabykqhr252ecY8+l8mE/mCd6uATQJES2V/BXHmfPyAIf/qNxMsNXRLc4XrNg62U8QbPj1VwBw0wO3NwzHIdKRWVd5sUcTETPebfUKFgMXLj0d+jkXQ3/ZZWj6/XfUrHovoPPI0WS3BwzDOBwiAssE200mGHftgm7MGJ+yk2BQObL4xu07YG9oCFgPLCL6z3dGEMzGxICNiXEPggvcg2BGoRC8gmkmGFi6dCl27tyJSZMmIS0tDampqS6PUGOxWPDnn39i7dq1OHrUe6Zo7969+Pnnn1HoQ18mZwylBdYhgQhVRq0r4Sz/EFtcdkcGDhyIPXv2YOBAIdvpqWFG/dffAAD0l3kvEuKyMkGam6UKfmdslcKPp6+Kcs2AAbDk50uNCtzO4Qh0XeQQjoYZrXXBfF1dyKQQgBCkq/v3h3H37qALf5uPHoX5+HE0/Pijx/28wRD050yh1SJq1iw0HzoE82nf7autxcU4PXs2Sv/1L5/jJCnEzBkBzYWNjIAyKUmWHILLykTEeefBWlIiK8Nkq6j0G4ApxdbJfnTBhs2bwWg0iBg/3u91Q03MJZcADCOtgHhD0gS3VQ4hBcFCoJXyz/uhyslBxfPPw3TwkOzz2GQ2ymgP1P36gq+tDcgK0LhzJ4jFgginAq9QIfoBN6wTmp8EqgcWUXViECxe31MmmOE4KFNSXLYLDTNKupX5QVBB8MGDB30+Qskff/yB7OxsXHPNNXjuuedw/vnnY/LkyWhwtEUFgMbGRkyePBmzZs3Cv//9b/Tv3x8PPfSQy3nkjKG4w6hUUOh0PU4KAbg2BxGXeHsCbIyQCRZ1tfbmZjT8+CPUgwZKjSM8oXI4RFg9OETYKiol+ypvaAYOAOx2r9melm5xTnKIFNEmzUMQHBvj9VrBoBs1CnxVFaxBSsHEojXTIc/Ff0ImOPjPmX7ePAAO7bYPaj76GMRiQcMPa3x2+Wtctw6KqChEjBsX8FzEH1ZvP5Z2iwWWM2egzu0L3TljAcBrhlw6xmSCvaHBfxCcIHaN86555RsbYdy9GxHjxkHRCQ2edGPGoO/WLYicOsXnOGV8PMCy0k1ksEhBsCPQUuh0SH/uP2AAFK/8O3hDk6zziPZoHa0JBgSbNCAwXb5hyxYAQKSHtsBtRdLIOmwhg80Ei/7znRYEZ2eDr6kB71RUaz1zVugU12oFiEtPBzGZPBZOd1WCCoKHDBni8xFKVqxYgQkTJuDYsWNYu3Ytjh8/jkOHDuGll16Sxvzzn/9EcXExjh8/jt9//x0//PADHn74YRfPYjljKJ5RZWdLfeB7EqIcgo2LC0nnsXBl7969UKvV2LtXWOoXg0cxE9y4YSPsBgNiLrnU53kkr2APDhHWygooPXSLc0Y9YAAAoPmoZ0mE1albnIjSERDbnLyCid0e8kwwAOjGCLpY427fxXve4B037uZjx9y8Wu1mM4jF0qbiU905Y6FMTUX999951Xram5pQ98UXwnXsdtS8+67HcdbiYjQfPozIqVOCkkGpcrJhNxgETb0HLPlnAJ6HOjdX0mo2+ZFESMWVfgIwNs5/17imrVsBm81vENqeKOPi/Mp1GJaFMiEB1jbKISxFxVAmJUGhVkvbNAMHIumuu2A9W4Dq11+TdR4xE9y6U2BHIBXHBdA0o2nLViiTk6FyBNChRKFWSzdkjEYTtI981AUzEHnBdEROnhLC2cmntS6Y2GywFBd7bHrU4hXcfSQRYd8so6mpCf0cRR8AkJCQgMTERBiNRgBCwc6HH36IpUuXItYRqEybNg2jR4/GBx98IHsMxTuZb7+F9Gee6expdDhiQNJdO8WJEEJgsVikrJ2YCRYbZtR//TXAcYie625i74y4PGjxUBwnZxlb45BjNB/zLHmyiZpgpyU6zrFcLAbIgKPphN0e8iBYO0oMgn1nLL3B1wtBMLFY3Ap82tIoQ4RRKKCfOxe2klIYd3qeY92338Le0ICkO26HZuhQ1H35lUeXgMYNGwAAUTMCk0KISNZLXiQR5jwhm6fOzQWXmgouI8OvLlgKwGRmgm0+MsGGzZ2jBw4GZVJSmy3SrMXFHv2IY/+yBFx6Ouq/+x6E5/2fp7xzNMEApEBWbibYWlwMy+nTiDj/vHYrfBS/8zT9+wft7MAlJyHzf/+Tvss6mtZBsLWkxM0eTUSU03Sn4rigguCNGzeiV69eGD58OKZOner2CCXPPvssPvroIzz11FP49NNPccMNN0Cn0+G2224DABQVFaGmpgbDhw93OW7EiBE4cOCA7DGeMJvNaGhocHn0RJSxsZI2uCchPmd1N9YDe8JZE2wtLUXTH38gaspkv9lwsZlIa69gYrUKrTb9BS/JyWBjYmD24hBhLS2DQq938dFVRERAER3tkgkWM9ihzt5zyUngMjNhCjoT3LLcaDrkqsMU/Yfb2pBGP98hifjuW7d9xG5H7QcfQhEdDf38+Yi/cRmI2YyaDz50G9uwbj0YrRaR558f1DzUkk3aGY/7xZsA0ZpMN3YsrGcLfGY85RZliZlg3ksmmNjtMPz2G9T9+4fcO7Y9UCYnwVZZKStI9YTdZBLs2DwEwQzDIHrOHNjKy73eODljq6gAGEbwpe5glImJYPV62Q4RohdyZDvogUVUjpbXweqBw4HWbi6SM0S2pyC4+9mkhX2zjEGDBmHw4MF466238M477+Cnn37CrFmzEO+wwal36FhiW/3gxcfHo87xYyhnjCeeeOIJ6PV66ZHZTTuGUTwjftGLRu09BUkOUVsreQPrL/UthQCE4ixlYqKbztRWXQ0Q4jd4YRgG6oED0HzihMcffGtpqUsWWIRLSYG1vEUTHMqWya3RjRoFy5kzQXmsOmvumlvpgu0GAwAEbZEmou7TB5rBg9H481q3AsOmrVthyc9HzOULodDpEDV9OlTZ2aj95BPwjusDguzAtGcPIidODLqiXvIK9mKTZsnLE7owOsbpxjp0wT6ywVaZQbAiQgdGo/FaQNV88CD4mhqPDTLCES4pCeB5v24X3hADFm+d6fSOFZ6GNT/4PI/dYoFx506osrO9OsS0JwzDQNU3F+aTJ2UVZjVt2QIoFIiYMKHd5sQ53D2C1QOHA6qsLIBhpM+qxaFx9iiHSKOZYAAd1yzDbrfjoosuQlJSEo4fP45169bh8OHD+Pjjj/EvR2WzyqFXE+URIgaDAWqH/knOGE/cd999qK+vlx7UUaJnoR09GmnPPIOYRYs6eyodChsdDTCMEASL3sAysylcryy3wjG5Wk4A0AwYCGIySV/EIsRuh62szGPmTmiYUS79MNpC3C3OGa2oC/bT1MMT9voGgGHAxsejuVUmuEUO0XYXFv38+bA3NaHxl19ctte89z6gUCDuqqsACHrT+GVLYW9oQN3qz6RxjRt/AQhB1MyZQc+BS0sDOM6rQ4T5ZB5UWVlSh7CW4jjvQbBxx5/Cuf3YijEMA2V8vFc5hNQlrgtIIQBA6fDkDVYXLBXFZXgOgtW5uVAPGICGtetgb6VVd6bx55/B19R06vehum9f2Bsb/cpDiNWKpm3boB061KXhU6iJnDIZ6gED2sV9oqNQaDTgUlOlBhmePIJFlImJAMfRTHBHNcsoKSnBsWPHcOWVV0LhMKGOi4vDRRddhPUO+56srCywLOsWoBYWFiLHkWWQM8YTarUa0dHRLg9Kz4FhGOjnzumU6vGOZODAgTh06JBkkcawLNjoaDTt2AHL2bPQz50rO/OjyswCX1/vkvVs6fIlIwgeKBTHmVvpgvnqahCrFcpUD5ng5BQQs1mSQUgtk9uhmFHqbLd7d8DH8g0NUERHQzt0KJpPnoTdbG7Z1+jIBLdRDgEA0RfPBljWxTPYfOoUmrZsQdQFF7hkBKPnzYMyKQk1q1ZJAVDjunWCl+2U4INERqmEKivLYxBsN5thKSiQqv0BIUupTE31uiTffPw4DJs2IWrGDFnaSTY+3qscwvDrr2BjYqAdPkzms+lcRDuyYHXBlqIiAIDKSyYYELLB9oYGNP32m9cxNR99BEajQcxl/leF2osWhwjfkgjTgQOwGwyICFLOIxft0KHo/c3XnVIoGEpU2dmCm4vdDsvZM2BUKhcrShGGZYWVt56eCe6oZhlipvlkKyH8iRMnkOZIy2s0GkydOhVffvmltL+2thYbN27ERRddJHsMhdJT0Wq1GDx4sNQsAxACSLtDA68P4EdPlSUWx7XccMotaAK8O0SIFmhcqruNkLJVwwyxoK89MsGqnBywsbFBOUTwDQ1go6MFb1irFeYTJ6R99kbhtWaj2x4EK+PjEXn++WjaslWSbdQ4CoDjrr3GZaxCpULctdfCVlmJhu++A19Xh6Y//4Tu3AlttkVU5WTDUlQE0koiZzl9GrDbXWRGDMNAN2YMLKdOeZQxVL/xJgAg/qabZF1bGR8PW02N27K5tbwc5iNHETFpYkANQDoTcQVFtCcLFOdGGd6IvvhigGFQ/71nSYTp4CE07z8A/dw57ZpZ9Yc6V3SI8F0cJ1mjTWzfILi7oMrJATGZYKuogPVsAbjMTK/d77j0dFiLi7uNV3BYN8tQq9W48847cf/99+Oxxx7Dxx9/LAXfd911lzTuiSeewIYNG3DjjTfinXfewYUXXog+ffrghhtuCGgMhdITOXv2LJYtW4azZ1tcHcQA0p83cGs4D17BcrWcgFBQxahUbp3jJI9gL5lgQCicA5wywe0QBDMMA+3oUWg+ehT2JnneqiJ8fZ0jCB4MAC6SiFBmggFAf8l8gOfRsGYN+Pp61H/7HTSDBkE7apTb2JjFi6CIjkb1W28LUgibDdFtkEKIqLOzAZ6HpbDIZbtUFNfKtko3VrBKa50Ntpw9i4affkLEeedBO1SeBScbHwdYrdKNHCBIaqpefRUAENVF9MBAix1ZsJlga3GJUMzm47eZS0mBbswYGDZtkoo0nan9+GMAQKxDStNZiDdOoruIN5q2bIVCr4dm6NCOmFaXR3JzyTsl2KN5kEKIcOlpsDc1uXy2ujJh3yzjqaeewkcffYSysjJ8//33SElJwaFDhzDRSYMzZswY7Nq1C1qtFmvXrsXcuXOxZcsWaJyWseWMoVB6ItXV1Xj77bdR7ZSBE6UE/ryBW+MrEywnCGY4Duq+fd1s0myiR7AXTTAA2MpbBcHt5O2sGzUa4HmY9u8P6Dh7fQNYvR7awUIQ7OwQEQqLNGcip06FIjIS9d9+h7ovvgAxmRB7zV88WkWxkZGIvepKWM6cQcVzzwEKBSKnTWvzHFqK41wlEeJSdmvvVm/FcdVvvwPY7Yi/WV4WGHDqGud4T9stFpSsXIm6T1dDO2Y0IqdPD+CZdC7i58YaZNc4a7HDI9iP33P03DkgFgsa129w2W6rrUXDmjXQjhol2Rh2Fsq4OLDx8T7lELbaWjQfOoSICRO6TLa/sxGDYNE/22cQ3M2K44KqYgt1Qwx/zJ07F3PnzvU5ZvDgwXjxxRfbPIZCoQgBjGLnTr/ewG7HZYkNM1oywbbKSjBqteyWwJpBA9F8+DBslZWSjljMBCtT3INgMTC2OmzS+NpaoQCtnTT8zk0zIs49V9YxxGaDvakJCn00lImJUKakuDhE8AaHRVqI2pMrNBpEXTgL9V98CUtxMdiEBETPnu11fNxf/oKad1eBr66Gbty4kNjLqbzYpJnz8gClUsgUO4/PzgabmODSOc5aXo76r7+GduRIKUiWgzI+DgBgq6qCMiEBRctvhXHnTkTNmoW0p59yaRoR7iiiosBotbC1oTBO5aP2RSR61iyUPfoYGn743kX3W//llyAWS6dngUXUffui+cABELvd45J909Y/AELapUtcd0W0STM4NOEqH82xnG3SurIrhkjQzTIoFEr3JfH2Feizbm3AwRAbEwNFdLSLQ4TYKEOuYb2kCz52XNpmLSsDGMZjUZRYPS9mi/m6Oiiio9stC6QZOBCMVgtjAMVx4hIzGy3oKTVDBsOclyfZmNlDLIcAWtoo2+vrEXvFFT4zgcr4eMQsuAwAEDUzuAYZrWkx4W+VCc7Lgyq7l1snOoZhEDF2LMwnTkjZ/Jp3V4FYrYi/+aaAGh6wDgvN5sNHcPbqq2HcuROxf/kL0p/7T5cKgAGHNVh2NpqPHg1Yh2lvagJfUyM1OfAFq9cjctIkNG3fIUmYCM+j9uNPhJuoEL0v2oo6Nxd2o1G6MW5Nk0MP3N5Fcd0JLjUVjEoFy6lTADw7Q0hju1kmOKggmOd5vPrqq5g2bRpyc3ORnZ3t8qBQKF0bhUoFZVxcUMeqMjNdvIJtFRUBdZjy1DnOWloqtF324FLBRkZAERXVkgmuq4OyHfTAIgzHQTt8OEz797sVfXlDkmg4stPaIUMAnpe0z3ZDI6BQQBGhC9k8dWPGgEtLA8NxiL1isd/xCbfdhoRbb0WMDE9oObCxsVDo9S5d4+wmE6yFhVKBk9ucx44FCIFx927YamtRu3o11P37B2xnJsohKp56CuaTeUi6+24k/+O+Lrs8HjFuHPjqatnd0kT8eQS3Rj93DmC3o/GnnwAAhl9/g7WkBLGLLg+qfXZ7ILVP9qALJoTAsHUL1H1zPXqKUzzDsKxL9tdXEKzqZg0zggqCn3jiCTz11FOYPXs2Tp06hZUrV2LSpEkoKirCZZddFuo5UiiUdiQ5ORn33nsvkkNk88NlZcJWXg57czOIxQK+pkaWR7CIup9QiGd2coiwlZb67O7FpSQ7uUPUtktRnDO6UaNATCa3Aj5viEUkrF4IgjWDBUmZKIngGxqFZe8QtndlFAqkv/A8Ml55WVaHL2VsLBJvXQ6FLjSBOMMwUGdnS/6jAGA+dRogxK0oTkQ3xlEc9+dO1H7wIYjJhIQAs8BAS+tkcBzSnn0W8Tdc326tczsC3fhxAADj9u0BHWdxZOt82aM5EzllChQREZJLRO1HHwEsi5jF/m+iOgqpOM7DDYH5+HHwlVWIOI9mgQNFXLlhVCoofdxAKJOTAZaV3ltdnaCC4HfffRerV6/GypUrAQiWae+//z5effVVHGplAk+hUMKb9PR0PPHEE0iX+UPpD1WWkEWwFhZKhUly7NFE2MgIcL2ypACTWCyCttNHEKxMSYW1XGiYwdfVtX8QLOqCd8mTRPCOIFihb5FDAC0OEfbGxjZbknlCO2xYu7aN9YcqOxt8VZUkBxGzd96CYFVuLtjYWBi2bEHNhx+C65WFqFmzAr9u796IX7YUvd55G/o5Fwf/BMIE3ZixgFKJpm2BBcEtjTIyZI1XaDSImjEDzYcOoXHTJjRt3Sp4S4eRD6743rF4aJ9MpRDBIwbBXJZ3ezRA8ADnkpN7dib47NmzGOWw2tFqtWh0fMEtXrwYf/zxR+hmR6FQ2p3GxkZs3rxZ+hy3FckhorAwoEYZzmgGDIQlP1/Q/lVUAIT4zQST5mbYSkpArNZ2c4aQ5jdsOMCyMO2RGQTXiz7AQhCsjI0Fl54O02EhCOYNhpAVxYUTLcVxgiRCDFy8tSJ39gu2NzQgftmyoCQMjEKBpJUrAyqmC2fYyAhohw6FcedOEJtN9nHW4sDkEACkYtiSe+4FAMReHR4FcSJsdDSUyclodmSC7UYjjLt3o+b991H3+RdgNBrJbo8iHzEIVvXK9jtW8AruwUEwz/PgHNq87OxsKfDNy8vz2YaYQqGEHydPnsTUqVPdmtIEC5cp2qQVBOQR7Ixm4ACAEJhPnmzRNXrwCBZROryCxexxe2eC2cgIaAYMgHH3HlnFSnx9nXCcvsWxQjNkCCynTguem+2UCe5sWmzSzgAQ7NEYjpNcRDwhBq7K5GTo589v9zl2FSImjIfdYEDz4cP+BzuwFhUBCkVAmdyIcePAJiTA3tAAdd/csLyRUPftC/PJPJyaMwfHx4zF2auXoPzxJ4QOl/Pmdbnix3BA/Kz6+myKcGlpsNfXgzcY2nta7U6b3SFuvvlmXHHFFZgzZw5mzpyJK6+8MhTzolAoXRTxS9RaUBiQR7Azzp3jRK2vT7P/1I4NggFBEsHX1LhZgHlC0gRHOwfBgwFC0HzkSPfNBIsm/I5MsDkvD6qcHJ9tuCMnTwKjUiFh+S1+vW17Erpx4wEgIEmEtbgYyuTkgIraGKUS0bOFTqqxV18dllpq3bhzAKsVxNSMqBkzkHjnnch65230274NqY883NnT65Johw9HwvLliL3Kfwwn2aTJzAabT59GwQ03SB0sw4mgfIJNDlsfAFixYgUyMjKwbds2XHLJJbj++utDNjkKhdL1UCYlgVGrYSkslAK7wDPBLQ4RnMMbmPPgESxd05EJNotBcDvLIQBAO2o08N77MO3ZDXVv3z6skhzCqeWs1uG3bty9G7BaQ9IyOdxQ9coCGAaW/DOwNzXBWlzs069YOKYX+u3aSQPgVmhHjgCj0aBp+3Yk/PVmWcdYi4uhyu0T8LUSbr4ZXFIS9GFa6B6/bBnirr46ZEWcFMEhIvG2W2WNFS33rMXF0PTv53OspagIBdcLAXDz0aOdWqPgiaCC4NZd1hYsWIAFCxaEZEIUCqVrwygU4DIzYCk4K2mBA9UEK5OSwMbGujhEcGm+NcGAkDkGOigTPFqoizDu2o2YhQt9jm1dGAdAMpoXM3uh9AgOFxQaDbi0NFjOnIHZ4UHqTQ/schwNgN1QqFTQjRoF465dsDc3Q+Gn2ylvaAJfVwdVuryiOGeU8fGIX7Ys2Km2OwzDgKEBcKfBybRJs5aXo+C662GrqEDaM8+EXQAM0GYZFEqPh+M4pKenSzr/UKDKzIK1uATW0hIwWi0UAepdGYaBZuAANJ84AWtxCRiVCqwP32Kxk5y1qAhAxwTByoQEqHr1gnHPHr9j+fp6gGWhiIiQtrF6PbheWTDt3QsAUISoZXK4ocrOFoJgh+a8dbtkinx0E8aDWCww7dvnd6y1xOEMESLXFwpFRE7DDFt1NQquvwHWoiKkPvpI2Lq00CCYQunhDB06FEVFRRg6dGjIzqnKygRsNjQfPARlUmJQukL1gIEgJhNMu3dDmZri8xxsZIRLoM3GxgQz7YDRjhgBa0GBlOn1hr2+HqwHH2Dt4CEgFgsAgO2GmmBAKLghzc0wOOyrvNmjUfwTMX4CAHm6YGsRDYIp7QOXkgIwjNdMMF9fj4Kly2A5fRrJ/7jP70pZZ0KDYAqFEnI4R3Gc3WAAlxiYHlhEM1AojrMbjT71wCLKlJYK+I7IBAOA0lGQ56/gg29ocNEDi2gcumCge8ohAECVkw1A6D7GqFSyqs8pntEMGghFdDSatm/zO1byCKZBMCXEMCqVYFN38CDqvvkGpoOHYG9qAiDIcApuugnmY8eQePvtiLvmmk6erW9oEEyh9HAOHjyIjIwMHDx4MGTndA50Ai2KE9E4HCIA+PQIlsY4Bcrt2TbZGbE9r63SfxCs8BgED5b+zXZjOQQAEKMRqj59umzr4nCAYVnozhmL5oOHpAYk3mhplEGDYEro0Q4fDmtJCUrvvQ9nLr8cx0ePwcmp05B/6aVo3n8A8TfdJLuAszMJqjCOQqF0H6xWK4qLi2G1WkN2TpXDKxgIvChOOkdODhi1GsRsljKuvhAzwYqIiIAsodqCMlEIgvlq/0GwJxmAZtAggGEAQqCIivZwZNdHndPinEGlEG0nYvwEGDZshHHnTkRNm+Z1nLW4GGBZYemaQgkx6c/9B5b8W2E+dRrmU3mwnDoN8+nTsBYXI37ZUiTecXtnT1EWNAimUCghh0tLAxQKwG4POhPMKJVQ9+uH5oMH5WWCHTZpHSWFAIQqesC3HIJYLCBGo4tHsAgbGQlVTg4sp09320ywMiUFjEYD0txMg+AQEDHB4Re8fbvfIJhLTgajpD/zlNDDsCzUubmOz/TMzp5O0FA5BIVCCTmMSiUFrsEGwUCLJEJWEJza8UEwm+CQQ1RVex0jFs2xMe5yCKBFEtEdm2UAgmWeqlcvAPLs0Si+UfXuDWViIox+iuMsxcVUD0yh+IEGwRQKpV1Q9RJ0wW0JgqNmzgTXKwuawYP9jhUbZnREowzpmlIQ7D0TLHkEe8gEA0DckiWIWbxY0s52R8SWrDQT3HYYhoFu/HiYT570+r7jGxthr6+nQTCF4gcaBFMoPZy+ffti06ZN6Nu3b0jPKzpEcMnBB8GRE89H7tq1UPrwCJau59AEd2QmWBEZCUaths2HJpivrwcAsNGeM8HaYcOQ+vBD3bpgLP6G65G44v/AOWnFKcETMV6UROzwuF+0ruIyAm+UQaH0JKhYiELp4URFRWHKlCkhP2/8DTdA3ScXnGMpvL3hMjPB9cqCduSIDrkeIGTllPHx4H24Q0hBsL57Fr7JQTtsGLTDhnX2NLoNoi7YuGO7xyYE1B6NQpEHzQRTKD2c4uJi3HfffSj20f0nGFRZWYj7y5KgGmUEg0KjQe7atYi7+uoOuZ4Im5gAW7V3TbBd1AR7sEijUIKBS0sD1yvLa9OMlkYZaR05LQqly0GDYAqlh1NeXo4nn3wS5eXlnT2VLokyXgiCid3ucT9f71sTTKEEQ8T4CbAWFcHiaBXujLVY2KaimWAKxSc0CKZQKJQ2oExIAGw2SfbQGr5BlEPQTDAldESMHwcAaPhhjds+i8MjWJmc7LaPQqG0QINgCoVCaQPKBMErmPdWqS8VxtFMMCV0REycBC4rC5X//S8afl7rss9aXAIuNZV6BFMofqBBMIVCobQBySvYiy7Y7pBD0CCYEkrYyAhkvf0W2IR4lNx1F5q2bZP2WalHMIUiCxoEUyg9nPj4eCxduhTxju5nlMBQxjuCYC8OEXxDA8BxYHS6jpwWpQegysxE1ltvgdFoULT8VpgOHgTf0AB7QwMNgikUGdAgmELp4fTq1QtvvfUWenWQlVl3Q5koZoK9B8FsdHSHuWRQehaa/v2R+dqrIDyPwhtvguH33wFQZwgKRQ40CKZQejgmkwmHDx+GyWTq7Kl0SZSODDrvRQ7B19dRKQSlXdGNHo30/74AvrERJffcCwBQ0UYZFIpfaBBMofRwjh49iiFDhuDo0aOdPZUuidQ62Yscwl7fQINgSrsTNWUK0h7/N2CzAaCNMigUOdDSUQqFQmkDiogIMFqt18I4vqEB6kEDO3hWlJ6Ifv588E1NqFv9GdQDBnT2dCiUsIcGwRQKhdJGlAkJsHmwSLM3N4OYzWCjqUcwpWOIu+oqxF11VWdPg0LpElA5BIVCobQRZXy8R59gntqjUSgUSthCg2AKpYfDMAxUKhV1L2gDysQE2Gpq3Fon26VucTQIplAolHCDyiEolB7OyJEjYTabO3saXRo2Ph7gefB1dVDGxUnb+QZHJpi2TKZQKJSwg2aCKRQKpY0oExIBuDtEiHIIBdUEUygUStjRZYLg6upq/PDDD/jll1/w/+3deVSU1/kH8O8AwyIOO4gsQUCLUkAlKho0ahWVCtG6QWzimiY2mjQVT6x61F+TRk3TxGi1iUvUlFpzFDQkcaUxdUGOYlwjCkQQESMCskbWmef3B/I2E1ARQQbm+zmHE3nf532918swT+48977V1dUNzmu1Whw7dgxxcXFIS0tr9B5NiSEyNpcvX0ZwcDC3SHsMZk71ewX/PAlmOQQRkaFqF0nwmjVr4OXlhdWrV2P16tUYNGgQbty4oZwvKirCoEGD8Nvf/haffPIJ+vXrhwULFujdoykxRMaooqICZ8+e5cMyHoOyV/DPFscpNcFcGEdEZHAMvib4888/x/z583HgwAGEhYUBANLS0vRqGJcsWYLS0lJcunQJGo0GJ06cwODBgzF69GjlmqbEEBE1h+m9p8bVFujvFazsDsGaYCIig2PwM8ErV67Eb37zG71E1c/PD76+vgAAEcGOHTswe/ZsaDQaAMAzzzyDAQMGYPv27U2OISJqLjPnezXBP5sJrl8Yx5pgIiLDY9AzwRUVFTh9+jRmz56N77//HufPn4ebmxv69+8PM7O6pufk5KC4uBgBAQF61wYGBuLMmTNNjmlMVVWV3oxz6b03NCKinzJzZE0wEVF7Y9AzwYWFhdDpdNi/fz9Gjx6N7du3Y+rUqejduzeys7MBACX33mTs7e31rnVwcFDONSWmMStXroStra3y5enp2WJ9IzIU3t7e2LlzJ7y9vdu6Ke2WiZUVTKytG+4OUVoClbk5TCwt26hlRER0PwadBFvee+O4evUqLl26hN27dyMtLQ1WVlaIiYkBAFhZWQEAysvL9a4tKytTzjUlpjGLFi1CSUmJ8pWTk9MyHSMyIPb29pg8eXKD/0mkR2Pq5IjaQv2aYF1JKeuBiYgMlEEnwU5OTrCzs8Po0aOVhNjc3Bzh4eH49ttvAQCenp5Qq9XKzHC97Oxs+Pj4NDmmMRYWFrCxsdH7Iupo8vLy8MEHHyAvL6+tm9KumTk5N1oTbMJSCCIig2TQSTAAREZGIjU1Ve9YamoqvLy8ANQlqiNGjMDOnTuV8/n5+Th8+DDGjh3b5BgiY5Wbm4uYmBjk5ua2dVPaNTNHR2iLiiBarXJMW1ICUy6KIyIySAa9MA4A3n77bYSEhGD69OkIDQ3FyZMnsXfvXiQmJiox7777LkJDQ/H8889j0KBB2LJlCwICAjBjxoxHiiEiai4zJ0dAp4P2zh2YOTtDRKAtLeUewUREBsrgZ4K9vLxw7tw5dO/eHadOnYKXlxcuX76MIUOGKDFBQUE4d+4cvL29cf78ecyYMQNHjhyBubn5I8UQETWXaf0DM+7VBUtFBVBTw50hiIgMlMHPBAOAq6srli5d+sAYX19frFix4rFjiIiaw8zxXhKcXwD0/MkewVwYR0RkkAx+JpiIWpetrS0iIyNhy2TtsZg5188E1y2OU/YIZk0wEZFBahczwUTUenx9ffHFF1+0dTPaPeWBGQU/T4JZDkFEZIg4E0xk5GpqapCfn4+ampq2bkq7ZlZfE1xQVxOsu1cOwZpgIiLDxCSYyMhdvHgRLi4uuHjxYls3pV1TFsYpM8GsCSYiMmRMgomIWoCJhQVMNBrWBBMRtRNMgomIWoiZo+P/aoJL7yXBLIcgIjJITIKJiFqImZNTw5pgLowjIjJITIKJiFqIqZNT3aOTa2pYE0xEZOC4RRqRkevduzdKSkpgbW3d1k1p95QdIu4UQVtSApWVFUz4VEoiIoPEJJjIyJmamsKGH9m3CDOnur2CawvyoS0tZSkEEZEBYzkEkZHLyMjA6NGjkZGR0dZNaffqZ4K1hYXQlZQwCSYiMmBMgomMXFlZGQ4dOoSysrK2bkq7Z3rvqXG1+QV1M8GsByYiMlhMgomIWoiZkzOAugdmaEtLuSiOiMiAMQkmImoh9TXB1dezAa2W5RBERAaMSTARUQupL4eozsyq+55JMBGRwWISTGTkPD09sW7dOnh6erZ1U9o9E3NzmNjaoiozEwBgasdyCCIiQ8Ut0oiMnLOzM+bOndvWzegwzJycUH31KgDAhDPBREQGizPBREbuzp07+Ne//oU7d+60dVM6BLN7JREAYGrDmWAiIkPFJJjIyF27dg0vvvgirl271tZN6RDq9woGAFNbzgQTERkqJsFERC3I1OmnM8FMgomIDBWTYCKiFlS/VzAA7hNMRGTAmAQTEbUgvZpgJsFERAaLSTCRkbO2tsbAgQNhbW3d1k3pEMycf1ITrNG0YUuIiOhBuEUakZHz8/NDcnJyWzejw6h/YIZJp05QqdVt3BoiIrofzgQTEbWg+ppgEz4og4jIoDEJJjJyZ86cgUqlwpkzZ9q6KR2CmYM9AO4RTERk6JgEExG1IJVaDXMvL5jzMdRERAaNNcFERC3sqdh/wsTCoq2bQURED8AkmIiohaldXNq6CURE9BAshyAiIiIio8OZYCIj5+/vj4yMDHh4eLR1U4iIiJ4YJsFERs7S0hLdu3dv62YQERE9USyHIDJyWVlZeOGFF5CVldXWTSEiInpimAQTGbmioiJs374dRUVFbd0UIiKiJ4ZJMBEREREZHSbBRERERGR0uDDuEYgIAKC0tLSNW0LUcsrLy5X/8mebiIjau/r3svq87X5U8rAIUty4cQOefBQqERERkcHLycl54PafTIIfgU6nw82bN6HRaKBSqdq6Oe1KaWkpPD09kZOTAxsbm7ZuDjUTx7Fj4Dh2DBzH9o9j2DpEBGVlZXBzc4OJyf0rf1kO8QhMTEz4QIHHZGNjwxd6B8Bx7Bg4jh0Dx7H94xi2PFtb24fGcGEcERERERkdJsFEREREZHSYBNMTYWFhgeXLl8PCwqKtm0KPgePYMXAcOwaOY/vHMWxbXBhHREREREaHM8FEREREZHSYBBMRERGR0WESTERERERGh0kwNVlqaipef/11DBw4EF988UWjMfHx8YiKisKwYcMQHR2NhISEZsV89913mDFjBoYOHYpZs2bhypUrLd4fY3Xy5EnMnDkTAwcOREpKSoPzWq0WmzZtwsSJE/GrX/0KixYtQnFxcYO448ePIzo6GsOGDcO8efOQm5vbrBh6dCKCxMRETJ48GQMHDsQPP/zQIKaiogLvvfceIiMjERYWhlWrVqGyslIvJicnB0uWLMHo0aMxceJEbNy4EbW1tQ3ulZCQgPHjx2P48OFYtGgRSkpKWq1vxqS2tha7d+9GREQEBg4c2GhMcXExli1bhvDwcISHh+Ojjz6CTqe77z1jYmIwcOBAHD16tMG5bdu2YezYsRg5ciRWrVqFqqqqFuuLMauoqMDWrVsxcuRITJ48udGY3Nxc/PGPf0RYWBjGjRuHnTt3Nhp38eJFvPLKKxg+fDhee+013Lp1S+98TU0N3n//fYSFhSE8PBwbNmx46KOB6QGEqAm2bNki/v7+8uGHH4q5ubls2rSpQcz69evFwsJC1qxZI99884289957YmZmJp988skjxaSlpYlGo5GXXnpJ9u3bJy+++KLY2dlJZmbmE+lrR7Zs2TLp37+//PWvfxUAkpiY2CBm+vTp4uHhIbGxsXLw4EEZN26cBAUFSVVVlRJz9OhRUavVsmjRItm7d6+Eh4eLl5eXFBcXP1IMNc8LL7wgI0aMkMWLFwsAycrK0jtfW1srzz77rAQEBEh8fLx8+eWXMmjQIBk7dqwSc/36denevbusWLFCDh48KJ9++ql4eHhIVFSU3r3++c9/ilqtlvfff18SEhKkX79+MmDAAKmtrX0SXe3Qhg4dKuPHj5dXX31VGns7Li8vFz8/PxkyZIjs3btXdu3aJT179pS5c+c2er/Y2FgJDAwUALJnzx69c2+99ZbY2NjI5s2bZdeuXeLr6ysTJ05sjW4ZnW7dusn06dNlypQp4uvr2+D8jRs3xNHRUSZNmiQHDx6UrVu3iqurq6xevVovbt++fWJhYSHz58+Xw4cPy5YtW2T06NF6MdOmTRNPT0/57LPPZNu2bWJvby8LFy5sze51aEyCqUlKSkqUP1tYWDSaBIeFhUl0dLTesXHjxklkZOQjxUybNk369eunfK/T6aRXr14yZ86cx+6HsatPQH/44YdGk+Dbt28LAImLi1OOVVZWioODg96YP/vss3pvoBUVFWJnZyerVq16pBhqnvpxPHbsWKNJcFJSkgCQc+fOKcfqx/ybb74REZGqqiqprq7Wuy4hIUEASG5urojUvfY8PDz03mSvX78uKpVK72eEmqd+HGNjYxtNgrdv3y4mJiZSWFioHEtOThaVSiVXr17Vi01PT5euXbvK6dOnGyTBpaWlYmVlJR999JFyrP5n5/Tp0y3cK+NTP47Lly9vNAn+85//LK6urlJTU6Mci42NFY1GI3fv3hWRut+PXbp0kTfeeEPv2oqKCuXPqampDX5vb926VdRqteTn57don4wFyyGoSZryOMd+/frhwoULKC8vBwCUlJTgu+++w4ABAx4p5uuvv0ZERITyvUqlQmRkJP7zn/+0VHeM1sMeI1lQUAAAcHNzU45ZWFjAyckJhw4dAgBUVlYiKSkJkZGRSoylpSVGjRqljFFTYqj5HjaOhYWFAPTH0dnZGWq1WhlHc3NzqNVqves6d+4MAKiurgYApKWl4caNG3rj6Onpib59+3IcW0BTxtHKygoODg7KMXd3d4iI3r9/dXU1oqOjsWLFCvj6+ja4T1JSEioqKvTGMTQ0FI6OjhzHFtCUcXRxcYGZmZlyzN3dHWVlZUhOTgYAJCYmIi8vD6+++qretZaWlsqfv/76a1hbW2P48OHKsXHjxqGmpgZHjhxpia4YHSbB1GLefvtthIeHK2+SXl5eiI6OxuLFi5sco9VqkZubq/fmDdS9mWdnZz/R/hijHj16oGvXrvj444+h1WoBAIcOHUJGRgauXbsGoK62TavVPnCMmhJDrad///7o1KkT1q9frxzbuHEjampqlHH8OZ1Oh5UrV6J3797o1q0bAChjxXFsG0OGDEFFRQW2bdumHPvHP/4BAHrj+Oabb8LHxwczZsxo9D7Z2dlQqVRwdXVVjqlUKnTt2pXj+AQMHToUly5dwn//+18AdXW9GzduBPC/cUxNTYWNjQ2KioowadIkhIWFISYmRq/ePzs7G126dIGpqalyzN7eHlZWVhzHZjJ7eAhR08THx2Pz5s1YunQpgoODkZKSgnfeeQcDBgzAc88916SYmpoaAGjw9BwrKyvU1tZCRKBSqZ5434yFmZkZdu3ahWnTpsHDwwP29vYwMTHBqFGjcPv2bQB44BjVn2tKDLUeV1dXxMbGYs6cOdi2bRvUajXc3NwQHBzc6MI3AFiwYAFOnTqFpKQk5diDxrGoqKj1OkAAgD59+mDdunV4/fXXsWLFClRWViIkJASenp7KOH711VeIj4/HhQsX7nufmpoamJmZ6SVPAF+PT8qECRPw5ptvIjw8HD4+PigsLERUVBRMTEyUcaysrER1dTVmzZqFpUuXwtbWFh9++CH69euHixcvwsHBATU1NY0+Wc7S0pLj2ExMgqnFxMTEYM6cOYiJiQEADB8+HDdv3sSCBQuUJPhhMZaWlrCyssKdO3f07l1YWAgHBwcmwE9AaGgo0tPTkZ2djbt378Lf3x/h4eFwd3cHAOWj2cbGyNHRsckx1LomTJiAyMhIZGZmAgD8/Pzg6+urjONPLVmyBJs3b8bBgwcREBCgHP/pOP50NriwsBDOzs6t3AMCgN///veYOXMmrl69ik6dOsHDwwMajUYZx08//RQ6nQ7h4eEAoHyCs3DhQuzfvx8bNmxQEqjy8nKl5AXg6/FJWrFiBRYvXozMzEw4OTmhqqoKa9eu1fu9WllZiTVr1mDEiBEA6j4JcHJyQlxcHF5++WU4ODg0+J2q1WpRXFzMcWwmJsHUYoqKihq8wbq5uem9aJsSUz9D/FMnT55E3759W6HV1BhTU1P4+PgAqNui6dixY1i1ahUAwMXFBe7u7khJScH48eOVa06ePIn+/fs3OYZan1qthp+fH4C6j1szMzMRFhamF7N06VL8/e9/x4EDBzBo0CC9cwEBAVCr1UhJSVGS45qaGpw9exYLFy58Mp0gWFpa4pe//CUAYN++faiqqsLIkSMB1CVX9TXgAFBeXo6wsDDMnj1bWVsRHBwMAEhJSVHqSW/fvo1r167x9+oT1LlzZwQFBQEA1q5dCysrK4SGhgKoWy8D6JceWVtbQ6PRKJ+6BAcHIy8vD9evX8dTTz0FoG5MRYTj2FxtvDCP2qH77Q4xZswYefrpp6WoqEhERAoLCyUwMFDGjx//SDFbtmwRa2trZWX7yZMnxcLCQnbs2NF6nTIy99sdQkQkLi5Obt68KSJ1K5OjoqLEx8dHysrKlJhly5aJq6urXL9+XUREPv/8c1GpVHLixIlHiqHHc7/dIUREtm3bpuzqcufOHRk8eLAMHjxYtFqtErN8+XLRaDSSlJR0379j6tSpEhgYqNzrb3/7m1haWirjSo/vfrtDiIhs2LBB2Z4wJydH/Pz8ZOrUqfe9V1FRUaNbpD3zzDMycuRIZUeQefPmSZcuXaS8vLxlOkH33R1CRGTdunWi0+lEROTChQvi7Owsy5YtU87rdDoJCgqSefPmKXE7d+4UExMTOXXqlIjU7dTz1FNPyUsvvSQidVshRkRESJ8+fVqzWx0ak2BqkvPnz0tISIiEhISISqUSHx8fCQkJkeXLlysx2dnZMnjwYNFoNBIUFCSdO3eW4cOHK9stNTVGp9PJG2+8Iebm5vKLX/xCzM3NuQ9iCzlw4ICEhIRIcHCwAJBevXpJSEiIfPzxx0rM8ePHxdfXVwICAsTOzk5CQ0Mb7NFcVVUl0dHRYmlpKT169BArKytZu3btI8dQ82zatElCQkLE399fAEifPn0kJCREvvrqKyUmPj5e3NzclNfZc889p7fV1vnz5wWAuLq6Kq/t+q/6N12RugR62LBh0rlzZ/H29hY7OzvZvXv3E+1vR/XWW29JSEiI+Pr6CgDl3//bb79VYtavXy8uLi4SFBQknTp1klmzZultm/Vz90uCs7KyJCgoSBwcHMTd3V3c3Nzk+PHjrdU1o/Lyyy9LSEiIuLu7i4WFhTKOt2/fVmL+9Kc/iYuLiwQEBIi1tbUsWbJESXbrpaenS0BAgLi7u4ufn5/Y2trKhg0b9GJSUlLEy8tLunbtKk5OTtKrVy9JS0t7Iv3siFQifNQIPVxZWRkuXbrU4Lizs3ODLXny8vJw69YtdO3aFS4uLo3erykxBQUFuH79Ory8vFjv1EIKCgrw/fffNzju4eEBDw8P5XutVosrV67A1tZW7/jP3bx5E3l5eejevTs0Gk2zY+jR3LhxAzdu3Ghw3NfXV69Wt7q6GleuXIGrq2uD19mPP/6IixcvNnp/f3//BtsiZmVloaSkBD179tTbtoma7+rVq8jPz29w/Of//nfv3kVGRga8vLxgZ2f3wHtqtVqkpKTAz88P9vb2Dc6np6ejqqoKvXr10tuyi5ovNTUVpaWlDY4HBwfD3Nxc+b64uBjZ2dno3r07rK2t73u/9PR0aLVa+Pj4NLoQTqvV4vLlyzAzM4Ofnx/XyjwGJsFEREREZHS4TzARERERGR0mwURERERkdJgEExEREZHRYRJMREREREaHSTARERERGR0mwURERERkdJgEExEREZHRYRJMREREREaHSTARERERGR0+M5GIqJ1LSEiAv78/evTooXd8z549CAwMRPfu3QEApaWlSE5OBgD06dMHXbp00YvfuXMndDodTE1N4eXlhb59+0KtVivnf/zxR3z55ZeIiIjAtWvXkJ6ejqeffhpeXl6t3EMiopbHJJiIqJ3btWsX7t69i927dyvHLly4gAkTJiA1NRUAEB8fj9/97ncIDAxEp06dkJycjHfeeQdz585VrklISIBWq0VtbS0uXLgAtVqNAwcOwNPTEwCQn5+P559/HhEREcjIyEBQUBBcXFyYBBNRu6QSEWnrRhARUfMdOXIEYWFhyM3NhbOzMwDgD3/4A1JSUnDixAlkZWUhMDAQe/fuxdChQwEAp0+fxpAhQ3D27Fn07NmzwT11Oh2mTJkCjUaDrVu3AgCuXbsGb29vTJkyBTt27ICJCSvqiKj94kwwEVE7N3ToUHTr1g2xsbGYP38+qqursX37dqxatQoAsGPHDjg6OiI/Px+7du1C/dyHg4MDjh07ppcEp6amIjMzE+Xl5XB2dsbRo0cb/H1z585lAkxE7R6TYCKiDmD27NnYunUr5s+fj4SEBFRWViIqKgpA3QxudXU14uLi9K4ZMmQInJycAAAVFRWIjIzE2bNn0b9/f9ja2iInJwe3b99u8Hd17dq19TtERNTKmAQTEXUAM2bMwNKlS3Hq1Cls2bIFkyZNgkajAQDY2NjA3t4en3322X2vj42NRUZGBrKzs9G5c2cAwLp16/B///d/DWJVKlWr9IGI6Eni51lERB1Aly5dEBERgb/85S9ITEzE7NmzlXNjxozB5cuXceTIEb1rysrKUFZWBgC4desW3N3dlQQYqFtMR0TUUXFhHBFRB7F//378+te/Ro8ePZCenq537pVXXsG///1vvPbaa/D19UVaWhr27NmDQ4cOwdvbG2fOnEFISAjmzp2LgIAA7NmzBydOnICpqSkKCgoA/G9hXEZGhrLtGhFRe8WZYCKiDmLUqFHo1KkTZs6c2eDchg0bEBcXh/Lycpw4cQJdunRBcnIyvL29AQDBwcE4duwYamtrkZSUhLFjx2L37t2YMGGCcg9ra2tERUUpZRZERO0ZZ4KJiDqIw4cPY8yYMcjOzubiNSKih+DCOCKidu7WrVtITEzEu+++i1mzZjEBJiJqApZDEBG1c3l5edi/fz8mT56MDz74oK2bQ0TULrAcgoiIiIiMDmeCiYiIiMjoMAkmIiIiIqPDJJiIiIiIjA6TYCIiIiIyOkyCiYiIiMjoMAkmIiIiIqPDJJiIiIiIjA6TYCIiIiIyOkyCiYiIiMjo/D8znBsLGcS1hwAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from statsmodels.datasets import nile\n", "\n", "nile_df = nile.load_pandas().data # columns: year, volume\n", "fig, ax = plt.subplots(figsize=(8, 3))\n", "ax.plot(nile_df[\"year\"], nile_df[\"volume\"], color=\"tab:red\", lw=1.2)\n", "ax.axvline(1898, color=\"black\", ls=\"--\", lw=1.0, label=\"changepoint ~1898\")\n", "ax.set_title(\"Nile flow: unit-root level with a changepoint\")\n", "ax.set_xlabel(\"year\")\n", "ax.set_ylabel(\"annual flow\")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "7fac6dc6", "metadata": {}, "source": [ "### Sunspots (yearly)\n", "\n", "Quasi-periodic, with a roughly 11 year solar cycle whose amplitude varies. A good\n", "test for methods that must preserve a dominant but inexact cycle.\n" ] }, { "cell_type": "code", "execution_count": 7, "id": "9ab88cd9", "metadata": { "execution": { "iopub.execute_input": "2026-06-22T16:14:19.535893Z", "iopub.status.busy": "2026-06-22T16:14:19.535753Z", "iopub.status.idle": "2026-06-22T16:14:19.622672Z", "shell.execute_reply": "2026-06-22T16:14:19.621920Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from statsmodels.datasets import sunspots\n", "\n", "sun_df = sunspots.load_pandas().data # columns: YEAR, SUNACTIVITY\n", "fig, ax = plt.subplots(figsize=(8, 3))\n", "ax.plot(sun_df[\"YEAR\"], sun_df[\"SUNACTIVITY\"], color=\"tab:purple\", lw=1.0)\n", "ax.set_title(\"Sunspots: quasi-periodic ~11 year cycle\")\n", "ax.set_xlabel(\"year\")\n", "ax.set_ylabel(\"sunspot number\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "0d1203e5", "metadata": {}, "source": [ "### US macro indicators (quarterly, multivariate)\n", "\n", "Three cross-correlated series: real GDP, real consumption, and the CPI. The\n", "cross-series dependence is the point: this is the regime where a VAR model, which\n", "captures how the series move together, is the natural choice.\n" ] }, { "cell_type": "code", "execution_count": 8, "id": "a2224a5d", "metadata": { "execution": { "iopub.execute_input": "2026-06-22T16:14:19.624880Z", "iopub.status.busy": "2026-06-22T16:14:19.624730Z", "iopub.status.idle": "2026-06-22T16:14:19.804522Z", "shell.execute_reply": "2026-06-22T16:14:19.803378Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "from statsmodels.datasets import macrodata\n", "\n", "macro_df = macrodata.load_pandas().data\n", "cols = [\"realgdp\", \"realcons\", \"cpi\"]\n", "macro = macro_df[cols].to_numpy(dtype=float) # shape (203, 3)\n", "\n", "fig, axes = plt.subplots(1, 3, figsize=(9, 2.6), sharex=True)\n", "for ax, col in zip(axes, cols):\n", " ax.plot(macro_df[\"year\"], macro_df[col], lw=1.0)\n", " ax.set_title(col)\n", " ax.set_xlabel(\"year\")\n", "fig.supylabel(\"level\")\n", "fig.suptitle(\"US macro series: cross-correlated multivariate -> VAR\")\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "2a6b5fd0", "metadata": {}, "source": [ "## Synthetic data-generating processes\n", "\n", "Now the controlled cases. Because we define each process, we know its true\n", "properties exactly, which makes them ideal for checking that a method recovers\n", "what it should. Everything below is plain numpy.\n" ] }, { "cell_type": "markdown", "id": "fb47f341", "metadata": {}, "source": [ "### AR(1), phi = 0.5: known theoretical ACF\n", "\n", "For a stationary AR(1) the autocorrelation at lag k is exactly rho_k = phi^k. We\n", "overlay the sample ACF against that closed form to confirm the match.\n" ] }, { "cell_type": "code", "execution_count": 9, "id": "52d68afb", "metadata": { "execution": { "iopub.execute_input": "2026-06-22T16:14:19.807443Z", "iopub.status.busy": "2026-06-22T16:14:19.807288Z", "iopub.status.idle": "2026-06-22T16:14:20.108932Z", "shell.execute_reply": "2026-06-22T16:14:20.107842Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def ar1(n, phi, rng):\n", " x = np.zeros(n)\n", " e = rng.standard_normal(n)\n", " for t in range(1, n):\n", " x[t] = phi * x[t - 1] + e[t]\n", " return x\n", "\n", "\n", "def sample_acf(x, max_lag):\n", " x = x - x.mean()\n", " denom = np.dot(x, x)\n", " return np.array(\n", " [np.dot(x[: -k or None], x[k:]) / denom if k else 1.0 for k in range(max_lag + 1)]\n", " )\n", "\n", "\n", "phi = 0.5\n", "x_ar1 = ar1(400, phi, rng)\n", "max_lag = 12\n", "acf_hat = sample_acf(x_ar1, max_lag)\n", "acf_true = phi ** np.arange(max_lag + 1)\n", "\n", "fig, (a1, a2) = plt.subplots(1, 2, figsize=(9, 3))\n", "a1.plot(x_ar1, color=\"tab:blue\", lw=0.8)\n", "a1.set_title(\"AR(1), phi = 0.5\")\n", "a1.set_xlabel(\"time\")\n", "a1.set_ylabel(\"value\")\n", "lags = np.arange(max_lag + 1)\n", "a2.stem(lags, acf_hat, linefmt=\"tab:blue\", markerfmt=\"o\", basefmt=\" \", label=\"sample ACF\")\n", "a2.plot(lags, acf_true, \"r--\", marker=\"x\", label=\"theoretical phi^k\")\n", "a2.set_title(\"Sample ACF vs phi^k\")\n", "a2.set_xlabel(\"lag\")\n", "a2.set_ylabel(\"autocorrelation\")\n", "a2.legend()\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "e4435a1f", "metadata": {}, "source": [ "### AR(2)\n", "\n", "A second-order process can produce pseudo-cyclical behavior from pure linear\n", "dynamics, with no seasonal term involved.\n" ] }, { "cell_type": "code", "execution_count": 10, "id": "28af3d60", "metadata": { "execution": { "iopub.execute_input": "2026-06-22T16:14:20.111712Z", "iopub.status.busy": "2026-06-22T16:14:20.111531Z", "iopub.status.idle": "2026-06-22T16:14:20.209224Z", "shell.execute_reply": "2026-06-22T16:14:20.207485Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def ar2(n, phi1, phi2, rng):\n", " x = np.zeros(n)\n", " e = rng.standard_normal(n)\n", " for t in range(2, n):\n", " x[t] = phi1 * x[t - 1] + phi2 * x[t - 2] + e[t]\n", " return x\n", "\n", "\n", "x_ar2 = ar2(400, 0.6, -0.3, rng)\n", "fig, ax = plt.subplots(figsize=(8, 3))\n", "ax.plot(x_ar2, color=\"tab:cyan\", lw=0.9)\n", "ax.set_title(\"AR(2), phi = (0.6, -0.3): stationary, pseudo-cyclical\")\n", "ax.set_xlabel(\"time\")\n", "ax.set_ylabel(\"value\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "b29e3c02", "metadata": {}, "source": [ "### Seasonal plus trend\n", "\n", "A deterministic linear trend with a sine seasonal component and additive noise.\n", "The non-stationary mean comes entirely from the trend term.\n" ] }, { "cell_type": "code", "execution_count": 11, "id": "b86a7fdd", "metadata": { "execution": { "iopub.execute_input": "2026-06-22T16:14:20.213627Z", "iopub.status.busy": "2026-06-22T16:14:20.213350Z", "iopub.status.idle": "2026-06-22T16:14:20.314672Z", "shell.execute_reply": "2026-06-22T16:14:20.313802Z" } }, "outputs": [ { "data": { "image/png": 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+ktXUjXiPTjVEUcTatWuxdu1avPvd73Y/6B2R5vP5XIdyPM4++2wAwF133YW1a9c2ZL2nnnoqAOC+++7DySef7N6ezWbx+OOP47TTTqv6NTs7O8e8qKn1HCWTSQAY9Xtx++23j3psNee5EeegmrWOxwc+8AG84Q1vwP/93//hH//4B9785je7uziNxHn/bd++HW984xvLPs7L75UxubCMLGPSufnmm/HII4/gYx/7mPufCwBs27YNH/jAB4puqwSO4/CZz3wG99xzD370ox+BEALLsnDTTTd5vfRx2bRpE2644QZ3uxUA9uzZg3379mH58uXubZWcg5aWFqxYsQK33nor+vr6AND/rD/3uc8V5cYqOSbHcbjxxhvx2GOP4X/+539gWRYIIbj11lvxpz/9CR/96EdL9gYei0rXV45K229V+/Ot9P21cOFCGIaBTZs21fwa041f/epX+PnPf450Ou3e9uCDDwJA0ftz4cKF2LJlixulGIsVK1bg6quvxre//W38+te/hmVZAOjP93Of+5wn6z7ppJPwute9Dt/4xjfw8MMPA6AXUtdeey0GBgZwww03eHIcoP5zdOqpp0KSJNx8882uSL3tttvw/PPPjzpWNee5EeegmrWOxwUXXIB58+bhYx/7GCzLGpVZbRTHHnssrrnmGnzhC1/AH/7wB9cxNQwD9957r/se9PJ7ZUwuTMgyJp2LLroI//rXv/DYY4+hubkZc+bMQSQSwaWXXoqVK1ciGAxW/Zof/vCH8eUvfxmf+MQn0NTUhM7OTiSTyYq3trxi/vz5CAaDOP3009Hc3Iy5c+fi2GOPxXnnnYdbbrnFfVyl5+D3v/89eJ7H7NmzMXv2bFxyySX41re+VZRfrfSY73//+/H9738fN998M6LRKJqbm/GRj3wEX/jCF/CVr3ylpu+3kvWVQ9M0bNu2rah4rBzV/HwrPbdXXHEFTj/9dJx44olYvHhxUR/ZRrxHpwKnn346nnjiCcycOROzZ89Ge3s7rrvuOmzYsKGoiOjGG29EOp1Ge3v7qP6mpbjlllvwmc98Bh/72McQCoUwc+ZMnHXWWUXCr17+9Kc/4dJLL8W6devQ0dGBaDSKJ598En/729/w6le/2rPj1HuOFi9ejJ/97Gf4y1/+gra2NrS2tuLXv/41/vd//3fUsao9z16fg2rWOh48z+O///u/YRgG5s2bh3PPPbfq16iVH/zgB/jSl76ET37ykwgEApg7dy6i0Si++c1vujECL79XxuTCERbwYDSAbdu2IRgMurnIbDaLffv2oaura8wP/UQigf7+fsyYMQN+v7/ovp6eHiQSiVG5u2QyiUOHDmH+/PlQFKXoPlVVcfjwYXR0dCAQCCAej6O7uxuLFi2CKFaXrDl48CB4nsfMmTOrep7D4OAgMpkMOjs7xzz2WOfAoa+vr2gbf9++feB5flRBQiXHJITg0KFDME0Ts2fPHpUFq+W8j7e+vr4+DA4OFmXYdF3Hrl27EIvFxs2tOlT7863k3A4MDGBgYACWZWHhwoWjKu1reY8CdPxoIBAYtZW5a9cu+P3+Ue+r3bt3w+fzFd2+Z88eyLLsFteN9bpHjhxBJpMpcsNLPR/Ivwd8Ph9aW1tLnhfnMel0GrIsu8Vc5V7Tec7Bgwfh8/nQ1tZW8nVHnotKvxcH5z0QCATQ0dHhyWuWop5zBNDK/UOHDiESiSAajcI0TezYsQMdHR1oamoa9zXGOs9en4NK1lruNQu58847cdFFF+GLX/xixW68F78nhfT09CCXy5X8v63e77Xa9xCjMTAhy2AwGAwGw3OuvPJK/O53v8Pu3bvLdjhgMOqFRQsYDAaDwWB4yt69e/HXv/4Vl19+OROxjIbCHFkGg8FgMBie0N/fj9NPPx379+/H0qVL8c9//rNk3IHB8AomZBkMBoPBYHiCkzENhUKYNWtW0WQ7BqMRMCHLYDAYDAaDwZiWTJmMrGmauOOOO3D++edj3rx5ePLJJ0c9ZteuXbjuuutw4okn4lWvehU+/vGPo7+/fxJWy2AwGAwGg8GYbKaMI/vJT34S27dvx8UXX4x3v/vdeOCBB3DWWWe595umiRUrVuC6667D2rVrkclk8KlPfQrpdBpPP/30qPY/5bAsC4cPH0Y4HGZbHgwGg8FgMBhTEEIIkskkZs6cCZ4v77tOGSFrGAZEUcTBgwfR1dU1SsgCVMwW9oHbvn07li5digcffBBnnnlmRcdxXp/BYDAYDAaDMbU5cOCA25O+FNV1hG8glTSnH9nM2JmLXqrJcTnC4TAAemIikUgVK2QwGAwGg8FgTASJRAJdXV2ubivHlBGytXDDDTdgwYIFWLNmTdnHqKoKVVXdr52Z6JFIhAlZBoPBYDAYjCnMeDHQKVPsVS033HAD/vWvf+GPf/wjZFku+7gNGzYgGo26f1isgMFgMBgMBuPoYFoK2a985Su4+eabcffdd+Okk04a87Hr16/H8PCw++fAgQMTtEoGg8FgMBgMRiOZdtGCr371q9iwYQPuuusuvPrVrx738YqiVNzRgMFgMBgMBoMxfZhWQvbrX/86NmzYgLvvvrviLgUMBoPBYDAYjKOTKRMt+Mtf/oJ58+Zh7dq1AIC3vOUtmDdvHm6++WYAwODgINavXw8AuOqqqzBv3jz3zx//+MfJWjaDwWAwGAwGY5KYMo7s+eefXzLvGovF3L/37NlT8rmtra2NXBqDwWAwGAwGYwoyZYRsKBRCKBQqez/P85g3b97ELYjBYDAYDAaDMaWZMtECBoPBYDAYDEbjOXDw18ip3ZO9DE9gQpbBYDAYDAbjFcTu3d/G0NCTk70MT2BClsFgMBgMBuMVhGnmQCxtspfhCUzIMhgMBoPBYLxCsCwDhGgwLXWyl+IJTMgyGAwGg8FgvEKwrKz9NxOyDAaDwWAwGIxphGlmAIBFCxgMBoPBYDAY0wvTpI7s0RItmDJ9ZBkMBoPBYDAYjeHwkb/A75sDUQwDYNECBoPBYDAYDMY04fDhP6G//16YFo0WWCxawGAwGAwGg8GYDhhGEoaZgmXmADBHlsFgMBgMBoMxTTCNFAwj5RZ7MSHLYDAYDAZjSpJKbcfAwCOTvQzGFMIwUzDNtFvsxaIFDAaDwWAwpiTd3bdj1+5vTvYyGFMEQggM5sgyGAwGg8GYDphWFtnsPhBCJnspjCkAFa8WdWTtgQisjyyDwWAwGIwpiWWqMIwkdH1ospfCmAKYZgoAYBgpWEdZH1kmZBkMBoPBOMpwXLdsdt8kr4QxFTAMKmRpRpa132IwGAwGgzGFcQp6MkzITmn27Pk+tm3/YsOPYxQ4ss5742iJFrDJXgwGg8FgHGU4hTzZDBOyU5l4fCMIzIYfx7QdWUI06MYwve0oiRZMKSHb09ODX/ziF3j55Zfxmc98BsuWLRv1mL179+IXv/gFenp6sHLlSlx99dXw+XyTsFoGg8FgMKYmjuvGogVTm3RmJySpueHHMYyk+29N6wfAs64FXvO///u/OPHEE7F792786le/Qnd396jHbNq0CatWrcKWLVuwePFi/OhHP8JZZ50FXdcnYcUMBoPBYExNLCsHUQyzaMEUxjCSUNVuGLZD2thjpcBxAgBA0/ogSdGjJlowZYTsunXrsHv3bnzuc58r+5hPf/rTWLNmDf785z/j4x//OO6991688MILuPXWWydwpQwGg8FgTG1MM4dgcClzZKcw6fQuAICuT4CQNZOQ5TYAgKr2QZJiR020YMoI2SVLlkCW5bL3a5qGf//737j88svd2zo6OnDOOefgzjvvnIglMhgMBoMxLbCsLEKhZdD1oQkRSozqSWd2AqCtsSzLaOixTCMFRekEAOj6IEQxxqIFE83+/fuh6zrmzZtXdPu8efOwa9euss9TVRWJRKLoD4PBYDAYRzOmmUPAPxeAk4lkTAX+85//xuYtn4Bpqkind7ouqWE0VpsYRhKSFAPPKwAIjRYQFi2YULJZGlwPBoNFt4fDYfe+UmzYsAHRaNT909XV1dB1MhgMBoMx2VhWDpIUtf99dAiW6cqBA7/EwYO/BQAkUy+ju/sOPP/CO5BMvIRo9EQAaHhO1jBTEIUQBCEEAJCkGAgxG+4ETwTTRshGIhEAQDweL7p9cHAQ0Wi07PPWr1+P4eFh98+BAwcauUwGg8FgMCYVQghMMwtRdITs0bGFPF0ZGHwYQ/EnAVDndcniG6GpfRiKP4mYLWQbHf8wjBQEMQRRpGagJDUBODreG9NGyHZ1dSEajWLz5s1Ft2/atAnHHnts2ecpioJIJFL0h8FgMBiMoxVCdAAWRJF+3jFHdnLR1H4YegKEEBhGEsHgIhx//C8RDh+L5pYzwPMydCPe0DWYZgqiGIYohAEAkn2RczTEC6aNkOV5Hpdffjl+/vOfI5WijX2feuopPPXUU3jb2942yatjMBgMBmNqYJo5AIAoBsFx4lHhuk1nNK0fhpGAaaZBLzDCCATmYs3J/w+h4GKIYhSG3viMrCiEINiOrCjFABwdQxGmjJB99NFH8c53vhMf+9jHAABf//rX8c53vhN33HGH+5gNGzbA5/Nh5cqVuOiii/Da174W1113HdatWzdJq2YwGAwGY2phWbRuhOf94HkZ1lHgunmBaWbR3f03EEIm7JiEWND0fuhGwh1KIIrhosdIUqzhjqxhpCCKIYgFGVkAsMzpL2SnzGSvzs5OnHXWWQCACy64wL29sEtBc3Mznn76aTz88MPo6enB1772tTFjBQwGg8FgvNJwHFlB8IHnFebI2gwMPozNWz6K4cRzWLL48+A4ruHH1PUhEGLCMBJuZwIn8uEgihEYDc7ImnZGVhBtISvGAOCouMiZMkJ20aJFWLRo0biPE0UR55xzzgSsiMFgMBiM6YdlUSHL8z7wnMwysjaWmQPP+3D48B/R3HQa2tpe2/BjOq3PjHEd2QnoWiCGIQpOsdfRUwg4ZYQsg8FgMBiM+jEt5siWwrRyUOR2cLwMVe2ZkGM6QpYQA6raQy8u+OLhT412ZGmRmd1+y3FkWdcCBoPBYDAYUxHLdDKyPnA8c2QdLDMHXlAgiiEYRmpCjqlqfe6/c7mDo9xYwHFkG1fsZZoZOEVmjiN7NHW0YEKWwWAwGIyjCNPMgucVcBwPgTmyLqZFowWiEIJhToyQ1bQ+KMoMAEA2d2hUPhYARDEKXY83bA2m/b0KBY6sIASOGreeCVkGg8FgMI4iLEsFz/sAABwvgxwFrpsXWGYOguCHIIZgTpAjq6l9CAYWAAByuUOlHVkx0tDJXpo2SI8jxSAKIXCcCJ6XaEcLJmQZDAaDwWBMJUwzC0HwAwB4Xj4qeoV6gWXlwPN2tMBMTsgxNa0fim8GBCFQXshKMXeyVzz+DJ559nJP15DJ7oUoRiBJTZDkZnfiG3Vkp/9FDhOyDAaDwWAcRZhW1nVkBV5hjqyNaWUhONGCiXJktX7IchtEMYJstnRGVixwZDOZPUilXvZ0DdnMHgT888BxHFqaz8RJJ/4ZAFi0gMFgMBgMxtTDslQIQj5awBxZimWq4AXfhEYLVK0PitwKUYzAsrIlM7KSFINlqTDNHEwz7dnY2L37boGm9SOT2Qt/YB4AgOdFBAJz7X8fHYWATMgyGAwGg3EUYZlZ8LwTLZhajuzQ0NN4adN1k3Js08pB4P12tGAiHdlWV8CWdmTpVr9hDMMw07Asre7pY4QQ7Np1E3p6/4FMdg8CgfmjHlPOkR0efgF6g0fmegkTsgwGg8FgHEVQwaYAwKQW9JTq1ZpKbcHg4OOTsBo7IysoExYtsCwduj4IWW5zBxBIJbsW0E4ChpGCaaQBAITodR5bBUAwHH8GmcxeBPzzRj2mXEZ20+YPYf+Bn9V1/ImECVkGg8FgMI4iaL/UvCM7GdvHpqni8SfOwnDixaLbDSMJw0jU7TjWtiaaHRbEkNuSqpGoajcAQFE6XSdWKOnI2kLWTMEwqZCt92dmWbSX8MDgo9D1QQTsaEEhpd4bhFhQ1R4MDj5W1/EnEiZkGQwGg8GY5hw69HvEh58FYBc1FXQtmAxH1jSTsCwN6dQO+2s6bYyOabUmREiOxLJUGi2YIEc2mzsIgIfPN9ONFpRyZHneD44TYBop97zUK2RNeyiGYcQBoHS0gBv93tC0ARBiIJF40e2kMNVhQpbBYDAYjGmMZWnYsfPr6Om+k35t0jZTgO26eVQ8VA2GvUWeze5FKrUNjzy6BqaZdSdYUUE7sVCn2gdRDMOycrCs+rbvxyOXPQif0gmelyDZOdhSGVmO4yDY4tqJFtT7M3OELMdJkKTmksflBQWWmcX+A79whbOqHqH38SKGhp6saw0TBROyDAaDwWBMY4aGnoJpppDJ7gVgZ2QLHVlzMhzZDAAgk92H4cQLMM00NG3QFbCNHMladk12dtiZbtVoVzibOwCfvwsACoq9Rjuy9Hba29Y5b/UW6Jl2tCAWPbGkGwvQi5zh4eewY8dXkExtBUDjEIIQRFPTaRgcfKSuNUwUTMgyGAwG46hC14eRzR6Y7GVMGH399wLgkM3uA5DPggKT58iadtYzm9nn9kXVjSEYjiM7gdvWySQVaU52WBTyxVWNJJc9CL9vNgCM2bUAgB13SHqXkbWjHAsWfBTz532g5GN4TkYiuQkA7a4AADm1B4rSgaamU9yoylSHCVkGg8FgHFUcOHgrtm79zGQvY0IgxEJ//71oa3stcrlDsCwdlpWD4ArZycnIOu2tMtl9SKW2AQB0Pe46ssYEObKZzB48vfH1yGYP2Y6sr6hLQCOhjiwVspI0tpB1etuaHglZ08yA4yTEYiehpeXMko/heRmABSAvZFW1G4rSCb9vdsmuE1MRJmQZDAaDcVSh60PQGzi7fiqRyeyGqnaja/Y7QYiJXO4QTLMwWjBZXQsy9t8pJBLPA6A/F0fATtTPJ53eaR970B5R64MgBAGg4b1ks9U4smKYdi0wPCr2srLuUIxy8ILi/lvXBgA4QrYDstIGwxh2i/SmMkzIMhgMBuOowiwomgFoxXxPz12TuKLGoWp9ADhEo6vBcTKy2X2wCkbUlqpMnwhMIw1JagZARRnHyTD04QJHdmKKvTKZPfbxEjBN2keW5yXwvK+h071MMwdN63UzspHICVi27GvjRAu8c2RpwZ9/zMfwnAwA8PvnQXUc2Vw3fEonFLkDAKBpvXWtYyJgQpbBYDAYRxW0H2depMTjT2PT5g9NSu/SRqNrg5CkGHhegt/fhUx2ny3YCjKyk+LIpiHLrVDkDnCcjHD4GNuRtYXsBGVkHSGr63EQokGwxZ0ohhompoeHn3dzwY4jKwgKZs28vOxzBHs9rpCtu2tBxnXly8HzCkQxhqbYmny0QOuBonRCUdro1+rUF7LiZC+gWtLpNJ566ikMDQ1hzpw5OPnkkyd7SQwGg8GYQhRmDYH8NjchOjjbhTpa0PUhSFITACDgn4tsZl9xRlagQtY0cxgcfBRtba+ZkHUZZhqiEIQkxSAZLZDlVuTUbhCiQ5bbJ6xrQcYugNO0PgBwBb4gNG5M7abNH4FpZsFxMhSlo6LniGII2cxeEGIC8KJrQW5cIRuLnWRnqDVkh/eDEIJcjmZkeV6BJDVBnQaO7LQSsvfffz/e9KY3Yd68eZg3bx6eeOIJzJw5E/fccw+am5sne3kMBoPBmAIYZgqWpcKyDPC86ApZy9LsApejB00fcrfw/YG5iA89DV0fgiDSHKgTLRgcfBT/eem/cfZZm90es43ENNIQhCBCoaWwiA7TSCNnd5Lw+2bBmKCMrOPIqraQdQS+KIYbFi0wzQx0fRB+/zxwXGUb36IQgqrli6vqjxZkXfe5HC0tZ6Kl5UwcOPAraPoADCMBy8pC8XUCAGS5bVoUfE2raMEnPvEJnHfeeXj22Wfx17/+FVu3bsX+/fvx/e9/f7KXxmAwGIwpgtOM33Flnebwk7HF3mh0fRCy7cj6/XORTG1GU9NatDTTSnUnWqAbcQAEudzhCVmXaWYgiEEsXvxZLF3yeUhSDJnsfgCAzz8bhpFEX9+/cfDgbxu2BsNIQdN6IQhBV5DxrpBtnCNrWSoWLvg4liy+vuLnCGKoSDR60bWAH8eRdZDlVmhaf9FIXfp3BzQWLfAWXdfR1dXlfh2NRhGLxWAYxiSuisFgMBhTCafRvWmmIUlRtzn8ZPRTbTQ0I0uFbHv760CIgdmz3gGepx/vPC+DEB26HgcAZLP7yzbI9xLDTEEQAu7XkhSDqlIR7fPNRjy+Ed09f4Om9mH27Lc3ZA3OgIhw+Fhoqu3I2tGCRo6ptSwV4chxaGk+veLniGLY3TkQhFDNQvbAwV8jGllVUbTAQZZboetDyGT2gOd9kG2HX5HbWUbWa7773e/ive99LxRFwdy5c/Hvf/8bHR0d+NCHPlT2OaqqQlXzFZuJxMRPE2EwGAzGxOEIFGOEI0saPJJ0MtD1IbcyXpFbMafrXUX3OzECJyOazR6ckHWZZtqtfAcAUYqBEJPmRuVWGEYChjHc0DGxmcweSFIT/P4uJBL/AZB3ZJ2+rV5jWQYIMaqOb4hCvpuBJDXV3Gni0KHfQdeHYFYQLXCQ5VYAQP/AAwiHj3XjEIrSjuHEizWtYyKZVtGCWbNmYc6cObjzzjtx991346mnnsLxxx+PUChU9jkbNmxANBp1/xQ6ugwGg8E4Okind+PlbTeCECvvyDpz6wsyskcbmj7kRgtK4WSCHUcym9s/IesyjYyb0wWoIwtQ51EUo9D1QWQye91qec+Pb6ro778Pfv88iGLEdRZdR7ZB0QJiu/5CtULWHtLAcTJEIVDz7oFpZqHrcVhmtopoQQsAoL//AUQjq/K3K9PDkZ02QtayLFxwwQVYsmQJXnjhBdx222146aWXcPfdd+P668vnUNavX4/h4WH3z4EDr5yxhQwGg/FKIZnchMOH/1S0XfxKychKYwpZKqic6vOJcmQNM10cLRBj9G8pAlGKQNP6QYgO00y5Px+vIITg2efehMHBx7Fg/nUQxQgMIw6Ac7tWiEKxI5vLHcbzL7zT7RpQK84AgWodWcEWsqIYBGd3Eqjt+GkY+nBFAxEcRDEKjpOg6wOIRI93b1fkDmja1C/2mjbRgkOHDmH37t34r//6L/e2cDiM8847Dw899FDZ5ymKAkVpfIUmg8FgMCYPy9JAiIGcmi9mchy3ozUjSwipQMjajqzWD46TkMtNjJlj2u23HJw1ikLYnXLloGn98Pu92y3N5Q4hmdyMV635B0KhJW7nAp73geM4AIAghotagCWTWzA4+AhUrQ8+u9ipFpxIQPXRAipkBSHotsSqBdPMQDfiIMSEwAfGfwIAjuMgyy1Q1W5EwnlHVlHa7d622YrztpPBtHFkOzo6IEkSNm/eXHT75s2bWVyAwWAwXuE4AiKboX1DOU52owVuH9mjLCNrmhlYluZuDZfCdWTVXoSCS5DNTpyQFYR87E+SogDoqFbJFrKBwCIA+fyuVyQSL0IQQggGF9nHpPnTQodSEqNFLcA03R7RmjtS17FrFrL2GkVbyJIaMrKEmLCsHHR9GGYV0QKAxgtkuRU+30z3NqcH7lSPF0wbR1aWZVx//fW44YYb0NvbiwULFuCee+7B008/jYcffniyl8dgMBiMScQVsnaluqK0jyr2moxRrY1E14cAoCJH1jCGEQ6vQzK1Gbo+7ArLRmEYaQhiYdcC25EV845sJLwCqtrteU42kfwPIpHj3KIl53hOoRddTwx6wXQxXaNCNqceQRQn1Hzs2oWs7ciKtTuyzvtc14cgisGqXFRZaoGizHAda8ApAuORyx1CIDC36vVMFNPGkQWAz3/+87jrLjove+PGjTj++OOxfft2rFmzZpJXxmAwGIzJxBEQmew+cJwIWW4Z5cgebRlZXR8EMJ6QzQuqcPhYAEB2AuIFppkpihYIgt8eiRp2RXQwuAiK0gbVayGboELWwRGyhY6sKEVhGAk3E6vZ59IrR7bSfKoDz/sB8DRawMk1xWAcIWsYw1V1LQCAOXPeg3lzrxmxJhmBwAKk0tuqXstEMm0cWYezzz4bZ5999mQvg8FgMBhlmIxMXWG0QBBCEISg273AsmgBztGWkdX0QfC8DKFAMI6kcJKZ398FUQwjlz2IiC1qvSKXO4zdu7+DY475BgjRQYg2al2SGIMoRcDzfghCAMHQUshSq9tRwQsIMZFMbkJX1zvd20o6smIMAIFhJCFJMWgFjmw9mPb7sNpRyBzHQRTp+5bjhBodWXrhpuvD4HmlKjHd3HxaydvD4WOQSm6tei0TybRyZBkMBoMxtSHExKOPner27ZwoCh1ZUQxBFIIF0YKjMyOra3Q8beF28Eg4TgDHUc9KkmJQlBl1i7VSJFNbcaT7NrsLAT3vo4Ss3ARRjIDjOKw5+W9obTkbstIGTffOkU2nd8I0M4iESziyRdEC6go7gyLcaEGdk88sMweOE92BFNUgCiE3I1ubkM04q4Cm9YMXKiv2GotQ6BgkU0zIMhgMBuMVgqr2wjASDesPWg7HCVPVbupsicGCaMHEt99KJF4CIVZDj6HrQ2PGChwcV1YUI1Dktob8bJxzrao9MIyMfbxiIbt0yRcxY8alAIBAYD44jqfjUT1yZA0jiZ27boLPN8sdswrQll8AwAvFGVkA0O2CL00fgCQ1exItKHR+q0EUw3VmZDPuvwkxioR7rYRDxyCd3jmlYzlMyDIYDAbDM1Tb7TMnuLAqX8hF7GhBaJQjOxEfxoQQ7N79XWx85mL09d3T0GNp+qA7TnQsnJysJEUhy22ebuU7OOdYVXvcSMdIRzYWO2lUaytZbvUsI7tlyyeRyezBqlU/K3Kp6Tq4IoHJ835wnAzDdmQ1bQCR8LF1u9VUyFYXK3AQxQhEMWx3LahPyALwJN4TCh0DQjSkM7vrfq1GwYQsg8FgTDMIsepu3N4ocrajZdmN4SeKwo4ETrTA2eKeyIxsT8+d2LvvRwgEFqB/4MGGHsvQ4xAr6D7gCFlRjEBWWj1vdwXke/WqarcrqMbK7jp46RCnM3vQ1XUVQsHFRbdzHE/dzgJhx3EcJCkKXR8GIRZ0fQjh8LHQtP66LngsK1d1xwKHJUs+j9mz3l5HsVfGHm5AYw2CB9ECRWmDLLcildxS92s1CiZkGQwGYxpACHE/YPft+xG2bPnUJK+oNKraDWDiW13R49GPNEEI2tGCFAghbrTAi4xsLncElmWUvb+//z50tL8Oc7rejYGBB0EIqfuY5aCdAcqPaHfgORmCEALHCVDkds+7BAAjogVmGhwnVCToZLkNmtbnyXkyjAQksbSwF8XIqPVIUgy6Ebe7FxgIR44FQKCqtU+zMi21ZiEbDh8DRemoK1ogCAGI9jmoNeIwkqmek2VClsFgMKYB/QP3Y+MzlwCgldWFE6wmkqGhp7B374/K3u9szTou6ERhWRoUpR0Aioq96DoIAM6TaMFzz70N/f33Fd2Wyx3Bpk0fhmXpGIo/jVjTq9DSciY0rQ+pVOOcrJFjYMvBC4pb3OQIR6/JRwt6YRp0XWMVoTnIcissK+fGEerBMBKjpoY5iGJkVGZUFKkj63QsCIdWAMjvKtSCZalVt94aCccrdQjZoJv/9cKRBQC/f07d2eFGwoQsg8FgTAM0tQ+5HHU7TTPjbptPNIODj6Kn9+9l73ejBZPgyDpTiUQ7I2uaaVdgiWLUEyFrmEnoRrzotuHE8+jp/Tv2H/g5NK0XTbE18PlmIhhcgv7+B+o+ZjlMMw1BHH/7nudku90UFY6aNuB5NCUvZLvtqV7jr8tZD4C64wWWpcKycu6ErJGIYrio2Augjqyhx10hqyjtNLNbR07WsrSaHVmH+hxZv3vRUq+gdqAXhfVfaDQKJmQZDAZjGmARzRULppkdVdgxUej60JjHnqhir56ev2P/gV+4X1tmDj6FCllBDEMQAzCMtBsrkKSIJxlZy9JHiXSnZdOePTdDkTvg988DAHR2Xoz9B36GTGZv3cctBXU+KxCyvAzRrtyXlTYAFjR7KphnazGLowVCBZEHAO543XrjDrqRBICymeG5c96Lzo6Lim6TxCh0Iw5NH4AoRsHzMhS5A6pW+0hWy6w9I+tQT7GXIATcixa+ioEIYyEU5M2nIkzIMhgMxjSAWLTJvGXp1JE1JkvIxl1xWArVdo0bXew1OPgY+nr/5X5d5Mi6xV4ZtwhJEmOeZGQJ0UZ9b7ncYShKJyxLQ6xpjbulPnfOexAJH4eXXnp/Q4rzjBHTs8rB8bKbm1TkNgCAptYu1kpBh2AEoao9SKd3wu+fVdHzeF6GJDXVHXcw9AQAQCoTLWhtPbto2heQH1Ora4OuoBalCIyC0bWVsmXrp3Hw0O/srgV1Ctk6ir0EIVAQLfBIyBa0spuKMCHLYDAY0wDLFmGOG2sUOCSp9A7856UPTMg6NH0QllVayFqWDlXrhSCEGh4tMMw0VC1flGNZKmSlHRwn2tGCIAjRXFEiSvVHC2jB3WhHVs0dRlvra9EUOwVtbee5t3OcgEWLPoNUepvbeN9LTDNVUQ5S4BVX4NGqdsnznKxpphEIzIeq9WFw8GE0N5WeFFUKL3rJGgYVsuUysqUQpSiNFugDkCVbyIpR6PZrVUp//wM4cuQvSCY3eSNk6y32kmLgeQUc543EEwta2U1FmJBlMBiMaYDj0JhWxhazabfSO5nYhL6+f45ZTe8VRoEju2PnBuza9U33PlXtBUAQCMyD2eBiL9NMQ1V73XNgWioE3oeWlrMQCi2FINKtbSf/KIqRusU1dVXJqNhETj0Mn28mVq/+LTraLyi6zxGajRD2ppmpKCPb3Hw6mprWAqBtp2jvVm+FrGFmEAjMB2Ahm92PpjIjT0tBc7u1RQsymX1Ip3fDMIbBcXJVlfqSGINuJKBpA5BsR1aSolU5spalY/v2L4HjRBhGEmYd7bccxhKylqVh48ZL0N9//6j7TNuhl8SoZ7ECwHZkp7CQrX6GGoPBYDAmHCczZxoZO6NKYFk5CIIfup13NIy4WzzTKDR9CIQYsCwNmcxe8Jzk3ufkY/3+uY13ZI2UW+0uimHXCVt13C0AgGz2AF2v1kfnzvO+ujOyhFBXfHRG9ogbaxgJLygln1MvtK1YZRnZOXOuLvpakdugqd624DLNDAL++QAASWpBKLik4ufKdfSS3bfvR9CNONrbL4AohivqlOBA+8jGkU7vQDhMOxZIYrSqMbWq2oNsbj/a2s6HYSTd91o9cGMI2YOHfotE8j9IJP6D1tZziu4zzDR8UgySFPMsVgDYxV4GK/ZiMBgMRh04H2ymlYFlO6KOS+IIWa8LeEZCCHG3yN2IQ8E2bE49AklqhiRFGy5kC4uLAIza0nVGt2az+8Hzftvlqi8jS4hhHyvvNptmFro+WFbIOqLG6+I3y9JAiFlRRnYksuJ9Cy7TTENR2iEIQTQ3n1rVtrYit9XsEBtG0h6Lm3RH0VaKKMWg60OIx592IyGiWK0jS38vFaUdhpGg70OhPkdWKNN+S9cT2LPn+xCEILK5g6PXYmYhCgG0ta3DkiU31rWGovUIQRAyOlIzVWBClsFgMKYBlu0GmkYGpuV0L6B/O+2gdG2woWugcQbNPbZppovyhLnsIfh8M8HzvsYLWWOkkC1ueySKIShKJxLJlyAIfnA1VoIX4oiLwmIvp92YUs6RtdfkdfFbfgxs9b1CGxEtcHqYRqOr0d72uirX01KzI2uYKSpk9WG3oK1S6PAEC4rSgVj0RAC02Es3KheyjksvSy0wjKQnGVmOl93fs0Li8adhWSpmz7oCudyhUfcbdkZWUdrQ3raurjUU4sR0jCla8MWELIPBYEwDnIp7JyML0A8uANA16sTqDXZkC1+fbusXO7LZ7D4E/PPA80rDuxY4fS1Vu/q+lIAIBhcjmdwEQQiA56W6owXuxUSBSM/lDoHjJChye8nnuELWY2GfHwNbWZurQhoxFIF2LQjghON/ifb26kRUPesxzTQ0rQ+6PlS2h2w5nOr+jvYLXQdZEqNF7+nxcH6ustxCHVnTm64FhJijOl1oWh8UpR2BwHzksqUc2YxnQxAKcVz/qZqTZUKWwWAwpgGOG2joCXeL27Rza/loQWMd2UIhS0VsCobdvxMAMtl98AfmQuCVCSj2soWs1mt/6OslhazTJJ7naqsEL8S5mCgUpTmVtt4qt5XOcTw4Tm6YkBXF6oVLIDAf6fQOz8bn5vO6tYkoKmQHalqPaaRBiIlMZk9VHQvocVsgSU3o7LzEvU2SYvbIWoK9+26Bro8tap2LG1luzUcL6szI8rxMX3vE+1XV+iHLrfD5ZiGndo+KyhgNErJODnuqdi5gQpbBYDCmAc4HpqYPuLe50QJbYDY6WqDrQ+A4wT52PiPrCBDqyM4FLzQ2WmBZGixLgyjGoKm97gf+yGxiKLgYACB4lJG1SgnZ3OGy+VgHemwV8fgzePHF99a1BgfDjRZUn5GNRk6Arg8hm91b9XMzmb04dOj30PVhmGYWL226znZTSUUdFEohy60gRIdRxZa+gyOuUukd7kSrShGEAM44/WmEw8e4t4liBISYUNUj2LXrG0gk/zPmazjvPUlqgmVpMIwEBFuI1ko5Iatp/ZDlNvj9swFYUNXuovvruZgYC9H+uZpTtOCLdS1gMBiMaYDjBhZmCfNCNm7/3ehoQRyS1AJdH3QzsrSDQRYAB1Xtht8/F4aZbqiQdbY4g4H5ULVe91ijHdlFAGhj+FqnJRXidi0oysgegk+ZMebzBMEH08pBy+zCcOL5utYwNPQUenr/jrbW88Bxkit6qsHvnwNJasHw8HN2y6zKGBh8FC+8cBUADoaZRii4GL29d6Oj4/UA6AVDLdBpY4Cq9bnb/ZXiVNPncgeqdmQBjHLSHTGcTG0FQLfrx4JYGjhOdieKqXaXjHooL2T7oMjtUJROADyyuYPw+7vc+52hFF5De9JKLFrgNalUCrlcY7euGAwGo1oOHvrduNuRteDkOx0hy3Gi20tWN4Ygy+0NF7KaPui29tH1uBtx0I0Estn9AGjrLYH3wTIbJ2SdopNAYAFUtccVskKJaAEA8EKAtjSqNyPrFHsViPRsZi/8gXljPo/nFViWCsuD0cLDiRfQ2/vPiltvlYLjOESjJyA+/FxVz8tkdiMQWIjZs67A4OCjGBp6kt6e3gOgNncYAGSpCQBf01CEQnFVi5AdiVMwlkpusV+//BQ7gLr0PC+5Ayd0fahh0QJN64Mst9JRukoHctl8wRchFiwr62nbrUIEIciiBV7xxBNPYM2aNWhvb8ecOXPwnve8B6nU1LS7GQzGKwvTVLFt242Ix5/2/LWdDzVHyMpyKwyT9pS1LA2BwPwJyMjGIUlNEPhAUcTB0BPIZvdBEAL2B21jM7KOeKFCtrwjK4phKEqndxlZJ5tsf2+EEKQzuxAMLBjzebzdTsk0s7AsFYRYNa9B14eg64PQ9TjEOraRY9HVSAxX5w5rKi02am4+DfH4RgwMPgwAyGSpkK0lrwvQCWi1dC6g5zKfjS43nrYaaMEYh1RqGwCMe+FhEQ08LxcUmhFPuhYAGNW5QFP73T7Rfn8XcgUtuBzB3YhoAUDjBVN1TO20ErIvvfQSzj33XJx//vmIx+Po7u7GGWecgW3btk320hgMBsPNrNXrupUiL2SpgJTlFphmxo0VBIMLoU9AsZckNYEX/EWiwzAStNDLPxccxzW8/ZZTYBYIzoem9cK0t/pLbbOHQkshiqGGZGQ1rR+GkXAjDOXgeR8sMwfTHu1r1SHynR6n2ez+mjOpABCJrkYqvb2oWG88VK0PstyGpqZTQIiOVOpliGIEmcxuAPWJqFqmexU684A3jizH8RDFiBstGO+CjFg6eE4Gz/vBcTStWW8fWZ4b7cgSQuj5t2MYPt+sol6y+S4WjRGy1JGdmqbhtBKy119/PVatWoUvfelLkGUZPM/jqquuwoknnjjZS2MwGIwCIeu9c+HkMzWt33aAIjCNFHSDxgkCgQVuG65GQYVsDIIQKNoGNowkshkqZAGnuKmxjizHSfD7umBZqtu6qZQTtnTJlzFv7gfA8ZJ3GVlbyKYzOwHwCFQcLcjZ6x97u3osnPhIJrunrjxkJLwSohjCkSO3VfwcmtFsgyiGEQkfB56X0dpyNjKZveA4ERxXe5ETFbLVRQsKnXnAGyEL0BZc2ew++xjjOLKWBo6XwHGc68rWO9krHy3IXwyaZhqWlYUiUyHr980uasHlnIuGObICc2TrxjAM/Pvf/8Zll10GQggGBgZgWbVvzzAYDIbXNNaRpSJK1wfA8wEIQpA6stoQOE6E3z+n4ZO9dH0IstQEQfBB06l7Joox15ENOELW7lrgVXunkRhmGqIYcrdZnZGipYSs3z8LitJGxbVHGVnHAc6kd8Hv7xp3K9npWuA4smYdPXYdBz6T2VuXaBEEH+bN+yB27/me+5rjoRU4gu3tr0NLy9nw+bug64MQhEBV42FHIkstFUdj+vsfwObNH3czm8HAQgCoumtBOUQpAoC+d8fPyGqu8HSErFfFXro+5A7cKIwUAYDPNxM5eyR04TobUewF0KEIrNirTvr6+pDL5TA4OIiFCxdi8eLFCIVCeN/73odMpvyHhqqqSCQSRX8YDAajETgfOkYDhCx1EzlYlgZB8EMQAna0gLqkstQMy8rW5faNR1FGVusHx4l2I/gkstn98AeokHUcqXozqeUwjRQEIeiOoaUf6Bw4Tir7HG8ysqMd2fFiBUC+a4Hzs3EmswE0V10NzhS3bHZfTeNpC+mafSUkKYqNz/wXtm5dP252V1VptAAA5sy5Gset/AEUpQNA/U4gzcgOjP9AAMnkJgwNPeG2g3I6L1Q7EKEcUsGEMGs8IUs08Pb7znGE687I2q+39eXPYsuWTwAoFLItAABF6YSq9rg/s0xmNwQhBFGsfkBGJbBiLw9wrvR+8pOf4O9//zsGBwfxwgsv4O9//zuuv/76ss/bsGEDotGo+6erq6vsYxkMBqMeGhktsIjuflAKQgCCEIBhpt3cqiPqGtm5QNP6IUnNEAQ/NG2AikkxAk3rRy53OO/IutOsvIsXpFLb3Dyn48jyvARRjEDNHbFbBJV3BL3NyOZooVd6l+sGjoUTLXCErCOONG0ADz9yYlXZUMc9tSy1bveN52Ucv+rnaG9bh8NH/jTme4cQE7o+4G5tO/iUTgD1O4GS1Ay9QiGrGwlo+gAMMwWOk+H3z7FfI1bXGhycVlqS1Dzu7gqxNLc4K+/I1tdHlubMZahqt7vboGp9EMWo+7ulKJ0gRHdd7PjwRsSiq90+z17DogUe0NbWBkVR8Na3vhXLly8HACxZsgTveMc7cPfdd5d93vr16zE8POz+OXDgwEQtmcFgvMJwtvoaVezlbJ0Kgp9+sNjFXlTINgNo3HQv08xB0/rg93fRjKzWD0EIQJScwhirICPrOLL1F3wRQrB37w/w1NMX4tDhP9K12I4sQMVGLnd4XBeM4yUQotUVd3CGUgAEhOjIpHchEKxcyFojogW6HodlZSve2ieEQNeH3bG09RR7OQQC89A152oAY793NH0IhJiuI+uQd2Tra/sky5VHCwy79ZuaOwJRDCISWYUTTviNezFXL44jGwwucuMg5aDttxwh6ziy9WVkAdDetGIMqtYNQojdeit/7n0+2rtYtXeB4vFnEIutqfu45RBEVuxVN4Ig4IwzzkAyWVxhmUwmEQqVt9IVRUEkEin6w2AwGI1AdYVsA4q9LB2SGAOQd2RNMwPdoNECUQyD48SGTfdyWv34/LPBCz4QYkAUQ7TCO/ESeF5xRY2Xjmwq9TJ27f4WFLnd/d4MM+Vuq8tyC3LqkYpyqsDolkbVQCzD/bemD0LVeip0ZGlfXUfAWm73Aq3o7/EwzQwI0fITyzwq7HHeV2M5ok5xn6IUC1nZFbL1iepqogW6QSOC2ex+CEIQHMehuWltXccvxHFkA4H542dkGxAtAIDZs96GpUs+b08Li9PWZ3Y+FgAEIQRBCEJVu6HrCaRSLyMWO7nu45aDXjgfZY6srut47LHH8Otf/9q9bWCgsjdhrXzuc5/DH//4R/ziF7/A9u3b8etf/xq//OUv8b73va+hx2UwGIxKyOW6K9qOrAWL6O4HrCAEIIhBmGYKujYESYyB4zhIUnPVld+Vks0eoI3Y5XZXQAlCgG7taz3w++e4U5IEu/2QaTuyBw/+FkNDtfXWNWzREo2dCN0eYWoaaQh2FlCWmqFWImRLtDSqlsJiMdXe8h3pUJY8dsFABAAFglYt+ns8nBGuzqCHejOy+fWJkKSmsR1ZrRccJ0G0Ra+DLDWD46S6RbXkZrxL/+7o+hB27vqm7UrHAQAZD3LCJdciRiBJzXRNtRR71dl+CwAWLfo0mptPAwDk1B46nrbgIoLjOChKJ3JqN4aHnwXPS4hEVtZ93HIIQujoihbs378fq1evxrnnnosrr7zSvf29730v7rzzTs8WN5IzzjgDd9xxB37zm9/gggsuwC9+8Qv89Kc/xTXXXNOwYzIYDEYlWJYKXR9AILAAptGoaEEMgOPI0mhBTj3ifsAFg4uQSu/w/NgAkM0dhM83GxzHu6NIBSHoulBOrAAocGRtwXbw0K8xOPhITce1LA0cJ0KSYq6oNcw0RHt7XZLphUOljmw9OVli6a7zqNoOZSWV8oKTkXWjBRl7LdUJWSfDGgwtoa/roYijF0HlzSjVnio1MofMcTwUuc2TYi8A0GzXvb//Aeza/R33/kTiJezb90OYZtoV9PX20i1HrOkUzJr1VgiCv4KMrF6QkbUz7B5ECwD6M+E4CZrag5x6BIrcXnS/T+mEqnYjHn8akcjxnjjB5aDRgqNIyH70ox/F2rVrR3UA+MQnPoGvf/3rniysHK997Wtx3333YefOnbj//vvxtre9raHHYzAYjEpQ1R4AQDCwoCH/4ROi5aMFPO1aoOtxJJMvIRo5AQAQDh2DVHKr58cGgFz2gDvXvdCRlWwXKlAkZPMZWUIIstmDNedl85OTou4wANNMuwJGtrPBI8fTjsQVsnVECyyiuwJa1XoA8BWJSWfSmePEmqOiBZUK2TgA3p0k5qWIk+WWoljK8PALsAqjFGo/FKW91FOhKB11O6P5jDcV0z29d2H//p+OOmea1ge9cChEAxzZaGQVFi74GI3vFGRkc2q3O4TBwXl/AnA7BnglKKnr2g5V7UE6PbpDhqJ0Qs11Ix7f2NBYAXAURgseeughfO1rX4MsF1fmrVy5Es8++6wnC2MwGIzpRC5HOxYEggs8/w+fEALL0oqiBaIQgK4PwbJ0xGInAQBCoWXuRCKvyeYOwOejQpYXqFAVhVDekS0YCsDzEjhOsF3qQVhWtuYtfctSwfMKJDHiRgsMI1XgyLbYxxy7Utxp1l/PUARi6W6kQVN7IYoRN04xFvmuBbYTW2O0gBb2xQpyqd41v5ekZldEWpaGZ5+7HENDj7n3q1pv2RhFNHai6xLXiiAEwPM+N6ebSm2FZeUwNPQ4gHyfVE0bcB1Zs8CZbwQC7yvKyG7e9BHs2/ejosdY9mQvID8it96uBYUoSgfSmV1Q1SOjhayvE5nsHiSSLyEWbbCQFUMwjKOo2CuXy4Hn6VMLtxmOHDmCQKAxUyUYDAZjquC4r8W3HYEst0ISY55nZAmhzlg+WuB3nahwaLmbzQuFl0PXB9xtby/JlnJkxYArZAsdWSDvQuZyhwDU3sHAsjTwnAxRisLQ6S6gaaYKHFlHyFYaLajTkbWFrKr2VNyAnxecrgUjHVnV/rpCIWsMQ5KibgssL0VcoSOrqn20K0BB3lqzowWlWLxoPeZ0vauu43McZxd8DcKyVKTTOyGKUfT13wcg37Ism6PuvuK0/WpAtMCBFlQWOrJHkEi+VPQYYk/2AmC3x5I9bYGlKJ0YGnwCQD4bXXhfIvEiAIJo9ATPjlkKJ8rUqCEn9VCTkD3rrLPwox/RqxJHyKbTaXzyk5/Ea17zGu9Wx2AwGFMMw0jjscfPwvDwc0W3J5ObEQoudbsJeInTiN9pC8TbGVkARVuKwcACcJyElIeu7L79P8Xhw3+mQtZ2ZIszslRE+0cJWTrdK+sK2doEpNOnUyxyZNP59lsy3ZIer8DGm4ysZh+Xg6r2FjXOH/vYvoI+sny+n6wtYCt1iXWdFvZJUhMi4ePGHY1bDXKBI6tqdHehsIuBqva4XSkaheMKp9M7QYiBrq53YaD/ARBCYFr5aWpAfixtoyZZ0dfOZ2RpC6x+JJObi8RcYbFXc/MZOG7lLZ6uQZHbkUxthqJ0jhr44FNoC65QaHnDBiE40J0Iy+24MZUQa3nSN7/5Tbz61a/G3XffDUII3vSmN+GRR2iQ/7HHHhvn2QwGoxIymT3uxBrG1CGnHgYhGoYTLyIaXe3ePjz8HJqaT7W7CXgbLXBEYLEjS13Rwt6RPC/Tgq/UVrS0vNqTYw8MPITh4edgWbkSGdkgQqGlaG19jdvXsnAtlpnLb1fXmE11hIIkRmAYCRBiwTTz0QInIzu+IyvVtQ76XAM8L4PnFahab8XCTuAVe5iDVVQJ7468rSJaIEoxcByPk0++vabvoRyS7YYC+R2Hwi4G2ex+d/BAo6Cu8ACSya1Q5A7M6LwEe/bcjExmjyso0xkqZIOBhRgaerwhXQsceN6fd9HNNCwrB8vKQVW73fe7RfJ9ZAVB8ez3zsF5j410Y+l91JVuamD/WAe/rwtLlnweQGMGLtRDTY7ssmXLsGnTJqxbtw5veMMbkMvlcM011+DFF1/EwoXj99RjMBhjk8nswxNPvtYdecqYOjhb5ankFvc2y1KRSG5GNHICBCFobyMb5V6iahwXsTAj6/PNQCx6MpqaXlX02HDoGE9zsqaZdT/M80KWOrKiEISidGDVcbeM2k51XMj6owU0I0u/dwLDSMEw0q4DJcuVRQs4D9pvEUsHz0lUyNoZ2UrgecVtGSXLLaOiBRW337Izso1AlpqhO45sznFk7b69Rhqa1jcqPtKINWj6AJKpLQiFj3EzuYYx7Ir/tOvI0ot8oYFOpCD4QYgBy9KKpq8lk5vdf1uW6vaRbQSOWC01Ctnno/c5GflGIsvN6Jp9pdtabypRkyMLAO3t7bjxxhu9XAuDwbChxQwEmczuUU4XY3JxRkYmU1thmhkcOXI7QqGlIERDNHpCgXDLgue9mf3uOrIFAxFEMYwTT/zDqMeGwytw4OCtnhyXHjuLjvbXw7Ry7tamI2THKjYSnIxs1j4fZh0ZWV52t/FzuUOwrKyb13SmOY3vyIoA+LqKvSyig+MlCLwPqlZFRpb3uRcDktRUotir0mhBvKiozktkucWeNGa4o5YdNz2b3Q9gdHzEayS5BanUy8jlDiMWPdHOm4owzLQbLchm90IQgq7Aa6Qj67y/TTPrCtlQaDmSqS1oa6MxysL2W43A6RQRDIwWspLUhONW/ggtLWc17PjTgZqE7MGDB8e8f/bs2TUthsFgUJwMXSa7D804bZJXwyhEzR0Gz8tIp3fg0OE/YseOryAQWIRAYAEkKeb2+jTM9KhMW60406gEIQCOE8ccBxqLnYztO74MVe0t2y6pGkwzgya7r6YD7xZ7lRcRvECnWWVzByGKkbqjBaItZJ38r883kx6HlyGK4YpaHvG85JkjC6CKjGxe6EhSU82OrG7EEanwmNVC218R6EYcOUfI2o5sNrsPohj2bARsOWSpGcnkZhhGEnPnXgOO4+zMebogq2pAFNtcJ77RGVmAFudp2gBEMYxodHWxI1sw2asRuNGC0OhoAQC0tb22YceeLtQkZLu6usa8fypWtTEY0wnnP+1sdt8kr4QxklzuCJqaTsXAwIPYu/cHCAYXI53egRmdlwLIf7CaRgbwaBfOiRbwvIz58z6IaGR12ceGQssgCCHE4xvR0XFh3cc2zdwo59Up9hrLDaMtp2jXgmBwcX19ZDnZjhJwSKVepu247G4FABVhlQlZuc6MLK1QdwrLxIod2fzaJKmpwLWvro9sLnvIdSK9xhGGujYAVe2BT5kJ3c7IZrL74PfPHTUMoRFr0PVBzJzxZrQ0nwnA7hxgZGCZOXCcCEIM2oLMXq/YwK4FvC1kLduRleVWRMIrsKvvXyDEAsfxRcVejcDvn4dly76GSHhVw44x3akpI7t169aiP5s3b8Ydd9yBZcuW4Yc//KHXa2QwXnHkt9H2T/JKGCPJqYcRCa+EIndA1wexYsXNmDPnvZgx800ACrcjveu56Igvnpcxf/51o+bdF8JxAmKxExEf3ujJsU0z4/aNdSgs9ioHzZH2wDTTCAYW1NdHVlDAcTxEMYJkagt8vplFokqWW8YdiADQnGxd7bdqdGSFgvMnS02juhZUsqac2g1V62nYGFKaveWg2UI2FF6ed2QzexseKwCAaPREzJr1Nixd+gX35yvYjfhNK+u68KIYcS9kGurI8s7vcoYKWakVLS1nQtP63a4lxNIbKmQ5jsOsmZfb0RhGKWo6M8uWLRt12/Lly9HV1YVrr70W//3f/133whiMVzKW48hmmCM71cjlDsPnm4lQeDkktQXh0DKEF33GvT8vZL1rwUVsR9YpWBqPWPRk9PT+3ZNjW1bO/UB3EMUwRDE6pjso8D4MDT0JjqOdFIYTL9R4fK2g4XwUyeRWRMLHFj1m8aLPlu1xWgjPy/UNRLAzss7kMrHiaIEjsnmIUtRtYVSNI5tIvAhBCJQs+vECjhMgSU3QdCpkZ3Regv7+e2GaGWSy+xCLntiQ4xYSCMzDsqVfLrrNmShlmln4fXOQze6HJMUgimEsXPBJRCLHNWw9zgWIaWah6dSRVZQOxGJr0NN7F2Kxk2yXvnFCljE+NTmy5ViyZAm2bNky/gMZDMaYOGMZM9l9blRn375b3EIjxuRAiAlV7Ybim4kFCz6CY5Z9ddRjOI73vJesI3icFlLjEYudjFRqmzvKs57jEmKMyuQKgg9nvvo5BALlXTqeV5DN7UdH+wWQpJY6HNmCEaBSBIYRd505h2j0BLejwljwvFzU6so0s1X9nIhlgOck1/0Vpcq7FgB22zQ+4P5+V5ORTST+g3B4pafN9kciyy1IJjeBEA3h8HIANCebze6Df4yfdSMRhAAMM0OFrP0zlsQoOI7DvHn/7VkOvRROsZlZEC0AgI72C9Hb+w8QYhZdaDEmB8+ErKqq+Na3vsUKvRgMDzCtjNvDUNN6AQB79/0Q8fgzk7yyVzaqRice+ZSZiISPLesG0Q9f73rJWkQHx4kVjUMFgFBoKQBSd8baEVxjFZeVw4kjzJ79dppNrTEjSyxt1Fa+zzerptcSxTBMI+l+vX37l7B9x+iLkXI4XQuc783pIjEejoPL8z4Igi8/qrZKR7aR7iMAtLWdh4MHfwOAVucDdAdCVbsR8M9r6LHLQfsyZ2CZWfh8VF9Umk325PiCH6ZlRwvsXG57+zpo2gDiw8/RuAlzZCeVmqIFodDovm2ZTAbhcBi/+93v6l4Ug/FKxzSzCAUXI5F8CZnMPihKB0xTdaudX4kQQrB166cxZ87VtlCbeFTbER+vJZrXjiyxdHBVVEYXtg2qB9PKFL1eNdBhCcsRiZwAVe2rWcialgrBdt2cvq0jHdlKkaSmIpc6kXixKqeRum8FGdkqi70EIQBeyDfZr9SRJcREIvESZs16e8VrrYW5c96Lgwd/C4DA55sJnlcwFH8KABrW9ms8BCEI00jBtLJu54RKs8meHJ8PjHJkZbkVstwKNXcYVsGIWsbkUJOQ/c1vfjPqtqamJqxatQqxWKzeNTEYr3gsMwtJikFROpHN7kMsdiII0dym4FOVTGYv/P6umrY/DSOJbO4QwqHRGXyAdnA40v1XAMDy5d+oa521kssdhiQ1j+tQOnPJvYJur1f+YclxAnheqXsNzvvNcRSrYd6899PxshxnO7K1j6gtjBYAtTuykhh126NZloZ0ZldVY1fzGVk7WlDFQASARjIE3l+i2GtsIUsnW6UQCTfWkRXFMBbMvw5HjtwGjuMgSc3o7r4NodAyKBVkkBsB7VqQgmlmIQg+RKMnIhhaMmHHp23kaPutwhy2KIahGwkQwhzZyaYmIXvxxRd7vAwGg1GIaWbBC374/V3I5Q65W7zO31OVpze+ESuP/R5aWs6s+rlHjtyGg4d+i7Wn3FPy/sGhxwFw6Om9C4sX3wCpwnyil+TU7oraH9EPXy+jBdW3+BGEQN0OviO4anFkC4WPEy0ghFTdwqkwI1tvtECSmqBqdPxqOr0LhBhjjoc1jBRe2vRBrDz2/yCKQbdrgcD7wHFCxRXzzjQkgfdDsB1ZQqyCaMHYIp+OjOVrdqKroavrnZg16woAdJpTMrkZ8+Ze2/DjlkMUgtDUXvv/xABWHXfLhB5fEALQ9EGYZnqUkDWNpOvSMyaPioVsf3//+A+yaW2dnCs3BuNowbSy9geeRvNhzrzvKRwtMM0cTDMF3UjU9HxN64MxxnMHBx9FR8cbMDj4KHp6/obZs6+odak1Y+hxyBU0hfc+WqBVFS3wag3O+00QqndkC6GOJAEhRtXfBxXxjgMaBcBX5aIWIkkxpNLbAACp1Mv09a3yF4e53GEMDj6CbHYvwuEVRY6saBccVQLtNsGBF/z53qSWCstSwXHSuI6sYaQgiqGG93F1cFo9yXaLq9bWcybkuKVw8uaWlYVQw85A/cf3I5s9AADMkZ2iVCxk29rK9y0cCRuIwGDUh2lmIIlRWIIG08rltyAnOFpgWTqGEy+gKXbyuI/VjTh9To2uMXU9SgsvQkwMDT2BpUu+AEmKoa//3kkRsroxXFGhiSiEPI4WVP9h6YmQNbPgOKHitl/lcNZuWWpVEQn3OfbxFaUNfv/sql/DgU5eiwPITwgbK0fsiFxV7UU4vCLfR1bwVZyPBWDHKxQ7WuC0dMrAslSIYnhcIWuaqYb2Sy2HJDdDkpoRiUxeM35BpBlZy1JrKjqs+/i8H4MDD9vt5vIXUKIYhm732WVCdnKpWMg+//zzjVwHg8EowDSz8CkzqGtjZvPRgjHco0bQ3X07tr58Pc4+a9O4k5MMu4im1jXqGt2+cybmqGofXnzxapx44p+QSm+DYSTQ1HwaVK0Pw/FnRz1/aOhphELLGho50PXhinKR1EXyciBCDUK2IItZ83HNLHjeX7cT6Lx3qGAbXSw85hoKogUdHW9AU9PamtchFgnZl+no3DHer86FgKb1AchnZEUhZI90rRyeV8Db0QL62jlYRLOF7NjRAseRnWiamtYi4J/X0JZf4yEIQWj6gP3v6iMu9cILfqhaD2bNuqLod1AUQlDt90W1uwwMb6lYyB5//PENXAaDwSjEMrPgBR94KwBdH8xXOU+wI3vkyG0ALGjaIBSlA4QYZQWVIxBqXaNmj8M0zSxEMYhsdh+Sqc3Q9SFk0rugyB1Q5FZIYswt2Clk0+YPYeGCj2HmzDfXdPxKMIxERf1KBTFg5xq9oZZoAS/4PXFkvXDB8kK2+oKvQiHL83JdOVHHkSWEIJl6GZHIKqRT28s+3rkQcH6WjiM7a9bbqx7/6ziyPO9EC7K2IxtxLwLLYZgpiMLEC9mZMy6b8GOORBAC0DQqZGspOvTi+AAwc8alRbeLYtiNpzBHdnLxdCDCRPJ///d/WLRoEb761cp7ADIYlaJpg64wmwxMKwuBD9g9J7NuVnEiHdlsdr875lTT+nGk+zY893z59j/O+RqreGYsdFfIZopez7JyMK2cmy2UpCh0Y9h+TAKmmQEhFjRtwNPeraXXGIdUiSPL+2uOWIwklztSc7Sg3gsf+j70QsjmowXVYhX0ka0XSWoCIRpU9Qh0fQCR8Moxf6ec3zt1hCMrSRH4/XOqOrbA++xir/y0KMtUIYmR8aMFRhrCJDiyUwFRCIIQOtluUqIFQgDB4GKEw8WjgUUx4jrFTMhOLjUP7/3973+PP//5z9i/fz8Mwyi674UXXqh3XWPy/PPP46abbgIA9PX1NfRYjFcmO3Z8FYLgx7JlX5mU4ztOmGXlYJlZVxTVu1VcKcnkVuzbfwsCgQXI5Q5C0weQSe9GJrO37HPyGdkaHVnNEbIpAG0wDCeqoNr5OLsJvdQE00zDsjRsffkzCPjnYs6c9wKwPM2llsIwhiFKsXEfx/O+mgV9IcnUy9i48Y2YPeuKqiujvcnIZqaAI6t6JhScrgeJ5EsAgGBw8ZjRAue9rKm99lr0mqc48YJC+8jaFwamlXN75Fpk9HkxTRUbn7kYx6/6+aQ5slOBwjjBZAjZOV1Xw5r1tlHxGlEMu05xvRlyRn3U5Mh++9vfxkc+8hEsX74czz77LC677DLMmTMHL774Ik499VSv11hEKpXCW97yFvzoRz9iPWsZDSOnHoZqT9SaDBwhywv+4mKvCXBkdT2Bpze+AcnkZixa+ClIUgt0jc5f1/UhWJZR8nmG68hWL2QtS88LV9eRpV9bZg6WmcvPt7eLbHR9GLncQWRzB6Fp/fZzvRX6hFggxHK/1vXhipqx84LPk59VNrMXhBjIZHZX3XTdCyFrmXknvB7qdWS9mmUv2R0nkomX7OKddrstmFXy8W60oMCRrbXQjOdlGhfiRXCcDMvMgBCtrCOraX1Ip7cjk91rO7ITX+w1FSgscuM92B2olmBwAcLhFaNup9lm+jvOHNnJpSYh+6Mf/Qh//vOf8ZWvULfqhhtuwN/+9jd8+9vfxv79+z1d4Eje//73Y926dTj//PMbehzGKxtN6yuZw5woTDMDXvBD4Gkzbmf7cyL6yBpGHADBCcf/Cm1tr4Ust0LT+u3+m8SNAIykUHhWS2GMw7D7r7oOrxMtcMeUxtz7NVtgO1t8XjuyW7d+Bps2fwSEEBBiwTASFXUtEHjFk2hBTj0CAMhk99YQLfAiI+u1I1u9kCU19NAthyiGAfBIJDfZ3Q98Y67LuSgrdGQ5rraNzEj4OASDi+11BGHYlfhO1wLDSKOvL99D2fn/x9CHX9mObIGAnwxHthyiPW0OQM0XNwxvqEnI7tmzB6eccgoAwOfzIZmks6vf9a534aGHHvJudSP41a9+heeeew7f+EblU31UVUUikSj6w2CMh6b1T2pG1rJybvN008pHC6wJ6CPrCElnS0+WW2zBSD/MHfdzJI7wrCXHWyiOTTvnaugJ9/UsK+d+iEmuIxt316XbW3xeF8OlM7vQ23sXDh3+PQwjCYBU5sjyPk96/qo5KmRzuUM1RgvqzcjmPMnI0kI1DpalQdeHqmrR6GVGluN4SFIMicRL8Pm6wAuOkC39ni10ZKk7r9c8jnTZsq+gs+MNAJyisyFYFu1aQIiJ/oH78dKm61x32Pn/R9fjMIzkKzojC9CLIY6bOmU9xUKWObKTSU3vCsMwIMv0Bzdnzhw8+yxthXPo0CGIYs2x2zHZsWMHPv7xj+N3v/sdfL7KKxc3bNiAaDTq/unqGr/imPHKxjRzMIzkpAlZQojrhPG8jw4asCYuI+sISWdLjzqyA27ldlkh6ziyNQhZmjXjIIox9/j5zK0KsyBawPMyBIF2NSBEh6b1FEQLvHVkVbUHkcgq7Ny5wRXbYqXRArP+jKzjyBJiVr29Tid71e/IehEtyI+pVfHU06/HwMCDFT2PEJN2yvAwgyhJURhGHH5/FwRbIJfb6bDMLBS5w36f0feYF1OcJDHmRpccQaSq3SDEcIeCOI6srsdhmmlX0L3ScC6oJyNWMBaFQpZlZCeXui9vrrrqKlx++eW44oorsG7dOlxyySVerGsU//rXv5BOp/Ff//VfWLRoERYtWoStW7fil7/8JRYtWgTTNEs+b/369RgeHnb/HDhwoCHrYxw9OB9YtE1P6excI6EFMQSC4IyzLHBkJyJaYKZons92nmSpBdncfrsIq7yQdTOyNYhtXR+EJDXRsY8luhZQhzp/ASuJUaTTO+37NaQze+ixPXSsCSHQtH50dl4C08wglaZtmipphC/wPk86TORsRxaofvvSq4ysV707eV6BaeWgqt3I5g5Wdny7OMxLx8uJpvh9XQXRgvKOrD8wFwB1xb1aiyQ1uReGTl9iNdcNIF/06FzI6UYchpF6xTqyzvtvKsUKgEIhy01qn11GjV0LjhzJ/+e6fv16dHR04IknnsBHPvIRXHfddZ4trpB3vOMdo3KxF110EV71qlfh+uuvhyCUfiMpigJF8WZbivHKIC/ULBhGsqoJPl5g2S4aLwTACxnaOH0CR9SaRhpCQR5PllvcfomS1DJGtGC4oilFpdD0QUhSM3hedFtoOc6UadFir8KsnCQ1IZPe5X6dSm2hj/XQkaVb4DqikeMBcEgmXgLHCRVNWOJ5xZNiL1U9gmBwMdLpHVW7knQgQr0jajNQpNrGwY6E52U3AuL8PR4NEbJ2wZffP7toOEEpTCsLnzITHCe6QtaL5veSFBslZHMqFbLU+V8AXctnZKkj+8oUsjwvg+PkKStk6fomZnQwozQ1C9nOzk4AdMvo6quvxtVXX+3pwkbiRAMKkWUZ0WgUixYtauixGROPM91pMnCm+ABUzEyEkB0cfAwHDv4Kq477setoCjwt9iJEd8XdRBR7mWa6SKzJcqstiDiEQ8eMES2IQ1E6a3NktUHIcjMIMWA6xV7ugAUarZD4FvfxohRFOrPTjiKkXKHt5flxtn59vlnwKTOQSG6CKEYr+tCiXQtUEEJq/pCzLAOq2ouWljORTu+oLVpQb0bWpP2MvYDnFfeclnsPjSQvZL0zI5xiPV9FjmwGkhSDLLcWOLJeCNkmJJKb6HrcaAE1iJzCRd2wowW2IzsZk72mCoIQ8CSr7SXOxT6b6jX51KQUVq9ejRUrVmDDhg0N71LAeOWRzR7AQw+f4G6xTTSa1g9ZbgeACcvJptLb0d9/H1S1Ny9khfw4S10bhCCEQIhWtv2VVxhmGmKh+ylTASnLLVCUDrd34qjnGcNQlM7aMrK2IysIwXxGtiBza1lqcbRAiiGbPQBFaXOFtiS1wPLQkdXUXnCcBElqgs/fhWRyU8UXNcI41fAVHV/rBWAhFj0JQC3RgvpH1Jpm1pOMLECdK02lF4mOWBsP5/x578hy8PlmuQK5XAzEMmmxm6J0IOs6svXXgRQ7sraQtaMFuhMtsP/v0bQBWFa2aJfklYYoBDx7H3oFz0vgeT8r9JoC1CRkt23bhssuuww///nPMW/ePJx55pn4yU9+gng87vHyxubOO+/EDTfcMKHHZDSe/oEHYZop5NTDk3J8VeuH399Ft0KdFjhGCqnUtoYd0zRo/nRo6Al3O5gWe9lCVh+CZDfib3QvWdNIjXJkAUCRO+zCr9FDSCxLhWlm4FNm1OSKOo6sIARh2JO6igYimDm3whyAfS4IZLkVikK3vv3+Lk+L4VStF7LcCo7j4PfPga4PQbTzleMxntNXCbkcff9Ho6vpa1YbLbAzstV0CBgJFVBeCdl6HFkvhWwMitIBQVDsIrR8q7Th4Rewdet697FOsZvPN8uNsnixFlGKue9vNyOrOSI/L2R53uc6weIrtI8sQFtwTbVoAUAvQpiQnXxqErJLlizBF7/4RezYsQNPPPEEVq1ahRtuuAGdnZ249NJLx38Bj+jq6kJra+uEHY8xMQwOPgog70xMNJrWB1lugyQ2uUL28JE/46VNH2jYMZ3owODQE647xBeMs9T1uCtkGz2m1hhRIS1LtiOrtENW2kqKEN1ulaUoHTW1CHMcWVEIwjRTMIwUAAJJanajBULB9rLTAkuWW6HY7rnfN7vuKv2iNam9RSIZACRp/PG0APJjSOsRsuoRSFIT/P454DippoEIgFWXK0yjBd4JWdeRrSAjq2n97sQrL8VCa8s5mDf32oJ15QvzEokX0F/QUcFpPxYMLkEytRmAVxnZJvffojvy2G675TqyQwj457rO7SvZkRWEYNGOzFRBFMOedtRg1EbdIcRXvepV+N73vof/9//+H5YtW4bbbrvNi3UxJgnL0if9+ENDTwLIOxMOmjaIVHpHw9dAowWtdq/HOAAgk9kDVW3cOGS6nc5haOhxWGYGHCeD58V8tMCIux9+XvdKLbWWwgppZytWUdohSy1QC4Ss8yHrVFjTjGxtfWRlqRmCSF1Ew329DrePbOHWojMmVpZbITfQkVXkNvraPipkK2m9BRQ4snVkdtXcESjKDHAcD58yo6Y+skB9BXDOhDkv4Dk57zqOI2SH4hvxyKNrkRh+nj7Xw4xsOHwMZs++wv1aEPzuz0nXh4vG6Dpt8EKhJXYfYa8ysjH339RppTlqRe4ocmT9gfkASMHjXpkIQsCz7hleIophz6bOMWqnLiG7c+dOfOlLX8LSpUtx6qmnIhKJ4JZbbvFqbYwJxjDSePiRk5BO756U4xNiIpF4EaaZhqJ0jnJkDxz4Bba9fGPD16FpfVDkVoh203IAyGZp+6laZsVXgmmkEY0cj1zuEFKpba6jVxQtsEVUo3vJ0q4F+Q8NnhchSU1utIBW85sYHn4Bjz3+6qKeu9SRrUXIDkOSYjQja2QKXq+dTvYyc6MysgAgS61QFOrI+vxddW+lF6KqfZDt1847shVmZIX6M7I5tRs+hRbVzu66Es3N1Y3/zlfk1/5+8TYjq0DT+sFxAkwzVfaCR9cT2LL5YwAspDP0/6JG9uks7DChG3EQkr+Yp+3H/AgFl7i3eenIcpwIjhNcxzkQXJjv7KDHEQjMc58jCOFRr/NKQRSCRdGiqQKLFkwNakqt/+///i9++9vf4qmnnsKKFSvwzne+E29/+9sxZ84cr9fHmECy2b0wzRRUtRvB4IIJPbZhJPH4E+fCMBIIh5dDFKOjHNls7oCnW8fl0FTqyMpSs+s0ZrP7AFBB6Ww3e4lhphGOHIds7hD6++8vaAKu2MeNQ5JtR9b+0B0cfAyiGEYkcpzna/FJs4pua4q9CpHIcXZe1oKmD2Fw8BEQYkDXh2HocQhCyJ5SZMCyqptJbxhxiFIUohCEYaahGwlwnABZaoFlqtSRLeojGwOQz+8CNFoAEFoY5sGHnqb2IBw6hr62vzZHtp5ogaHHIcnNAIA5Xe+q+vmuI1vH74y3GVkZgAW/fz4ymT3QtAH4/bNGPe5I919BYMHnm2XnQ3nwfGMG7QDFPX91PV7syFo0I+v3zwHP++z3oXeOrPP7TcW0imBwEeLxjbAsDaaZQsA/HwAVz69kwTRv3gemrJB12gQyJo+aHNn/+Z//wRlnnIHnn38emzZtwvr165mIPQrIZPYC8H46UiUcOHgreF7CihXfxjHHfIOKyBFCNpc92DBHtBBN76cZWTtaYFmGW3ij2Q6tF1iWhu7uvwGgBVaiEERz06mIDz/rigdajOIHIQYkkQpZx2HbufN/cOjwHzxbj4OzlkJWrvw+WlvPdoWjpva5ERDDTEE3hiGJkXFHfpY8npmDZWmQxKhdoJSGocchilHwQqAgWlCQkXWjBS0IhZYgEFjors2r96+q9bluryS1QBACRVvCY+EIlHqiBcaINmjV4gjZWqMohJh2twjvHFkACAToRbJe0Lkgm92PLVs+SW/XBhAILIDPN5uO5vUwVlByXQVT2AydOrLOIBTT7lrAcQKCQdrm0RNH1v5dLhSyABAMLoauDbo7Eo4jKwjBV3Sv0khkJULBxZO9jFGwjOzUoCYhu3//ftx00004/vjjPV4OYzLJONORGihke3v/BcvSYRhJbNv+RRBiwjBS2L//55g7533oaL8A4dAySHLzqGhBNnfIk7GfY5HLHYFpZqAo7e48dFU9DEJoy6tKG7lXQiLxH2ze8lEYRpJm8cQQmprXArCKxjE6opZ2MZBhWlnoegLJ1BY3t+clxoiMbCG04nsGenrvwnDiOQBU+BpGEqIUcbf/q8nJOq43jRaEYJppO2oQhWBv+5rm6PZbAHVkI5HjsPaUezzZSnegU716IdsZWY7jMGvmWxGLnljR8zmOd39W1ZBO78KRI7TOoNQFRTU4rrCq9eHgod9V/XznZ+hl1wIAUJQZ4HlfUdFgb989ONJ9GyxLh24kIYoRt3dro51IWuxFf0664bR804tGRQNAKLjUjgLULygFQSlq3cTzCnhegd83C5o+6Eaa/P45oKObX7mFXlMZSYxNSaf4lUZNQpbnJ6dRPaOxZLJ7AVCHrRGYZgYvbXo/hoefQyq1DQcP3gpV7UFf378BEMycebn7WFlqLooWWJYKTeutK3NYCTt3fh3h8AqEwysgSU3Q9Tgy2f3gOBGiGHU/YLygcDvT6RTQ3ERzkIXiwRFwvOADz/thmSqGh58FQGDo3m9rjTXXneN4zJv3fuzbdwssywDHiTCMJBWyQtgV4NU4sobutCGKFhR7DUO0PyRMMwtCtKJogc/Xhc7OSxAMLnRv4z3YSnfXZNCin8IYyeLFn60qxsHzvqovvPr6/oU9e/+PrmGMC4pKoGLaj96eu7Ft2412J4jKccSdl31kAUASI5DllqKCr+H4MwDoeTeMBCQxAkVph64PNVzICoIvn5G1nVBCNBCiAbDc38VgaImnze8lKVokZCWpCZLUDEJ0d4SvJDVDFCN1XdAwGkfXnHdjyeLPTfYyXvE0LnjEmHZkGxwtMOyJTYaZcmdTq2o3crmDCAYXFuUaJbmlKFrgbO077XgawdDQk+jpvQsnnfgXcJzgOrLZ7H74fDPBcfKo3G495Cul4+40LZ9vJvz+uUXbuY6QEHgfbXJvZTGcoNXcjchnUReq/AfnzBmXYu/eH0BR2pHLHbKFbII6sk7bqSpcUV3P99MUhSAMI223G6MOr2GLi0LnQxAUrFj+zaLXcYcQeODIqirtd+oUe9WCk6msBk0fhGlfSI51QVEpghBAfHgjfW2tvypnz7lIys+Urw/HkXUmZTmOLCEE8eFnAdBCL8NIQAm0uYM4JsKRdS443GlylgZCTHq/fYHU0nwGEokXPTuuJDW5Oz08r0DgfZDt7zmT3mUXEol0Z4I5slMSRW6FIrMWoJMNs1YZLo4j2ygh635AG2l3DGlO7UFO7YZiV2c7yFJz0WQvZ6pOIx3Zvv770Nx0GqLR4wHAdWSz2X3w++dClpvd+ede4DhehpGwR1BS0dLaeg5kpc19XL6Dgc/+0M0iHt8IWW5zt0K9pHAtpeB5BcuX34QFCz4GQQjBMFMFjmz1GVnDoIVitN1YEIRoSKVedkeIOt/jeH0k89GC+t+/mtZnF5s11/wahUVElaJrQ25chHaPqF/IOg31Kx1C4KCq3QB4yJI3H9SOIBXFKGSpxZ3ulcnscS9aHUdWFMOuQGh0Rtb5OdGYExXvtNgq694PAKHQUqw89n89O64kxQoysrLtyFIhm87sdjsbSGKMRQsYjDFgQpYBgLpiuj5kj/tMN+QYjsAwzJQbX9DUHqhqN3zKjKLHSlKzvb1LW+HksnSrrZFCNp3egVBoqft1ILAQhJg4fPiP8PvnQJKaPHZkHRdoqMgFXbTw0zhm2dfcxznb9bygQBB80PRBJJOb0Np6jucZ2XwucGwB1dy0Fi3Np0MUQ/mMrBgucGSryMjqCbetlXPcofiTaGk+Dbzgc10yfhwhS9sYKZ5kZFW1B7LcBo6r/b9IXlCqLvbS9AFYlgrL0kaNCq6FwoiKpvVD1foxOPh4Rc+l56DVs44BbrRAihQ5ssPDz9jnWrYv6pyMbHvR8xqF036L/i7R1m2E6AWjohvTv1SSmoqjBXIzBEGBIATR1/cv+JSZAABRitZ9QcNgHM0wIcsAkHdjw6HlDY8WmEbSHcmq2kJ2pCPrtJpyREwudxA8L9uV1EZD1pdO73QrkwEgEJiLVat+CkJMBIOLbYfWQyFru3V0qIDlbh/SGd75D2+32IunI2sTwy+AEAPNzWfAMBKe9U2la8oWrWU8RNeRpS4axwngOLmq6V66EXfbaRWKhqamtW6xF71v/KIKZyxrvaj2dLd6qCVakHcmk27cpB4K27hpWj+OHPkrtr782Yqeq6o9nraac9xHUYzSjKw9YCQ+/Byi0RMhSRHays0RsvauRKOrwnnBD9PMFuXfLUtz38ONGo1a6MgKgs91/1tbz0VHx+ux3I7O+P1zRl3oMxiMPCwjywBAt/fo3PpOd9vfaxyn1zDT4Dj61lPVHuRy3VB8o6MFAP1gV5Q2ZHOH4PfPQzq93S7C8PataxgpqOqRIiELAC3Np+PUtQ9BFMPYs+d7bj9ZL3CiBU5solwe0i324n0QBB+GE8/D75sDn28mCDFgmhnqavtm1v2h61xsVOpCCWIIRoEjS59b3Za6odMeskB+elEkcoKdEcyL1/EcWYCKfS8c2cLxtLVCt6yr20Fwoit0AhapOxspCH4IQgCh0HJoWj80faDiiIGqeS1k7WiBFIWsdEDVaA45k9mD5ubTkE7vsB1Zmrd2ogWNnpwk8D5YlupmtYHiaEEl77taaGk+021Ftmjhp93fn2NXfKfocUsW3whn8heDwRgNc2QZAIBs9gD8/jkQhACMhkULbCFrpFxHNpPdB8OIuxOMHGh7Jc6tbM7lDiIYoBXqjYgXZOwJQoHAolH3yXIzeF4q2RKsHpxtZyfDWM59c4u9BB8E3g9dH0IovAySPaPdMBJ44cWr3bZN9eDkmCstMhLFMEyn2Mtej8D7q9pS142EO7XMOQctzacDKC7wqkRQ0L6zXjiy+fG0tUL7k1Zf7AU4+dTKfw7lEIQgQqFjoCjt0LR+5HKHYFlZ94JlLKgj2znu4yrFLfYSo/ApHVDVbhBC7GhRJyQxYhe7ZSCKEUhSMzhOgDAhfWRzdhs4KhgdIUsHEXjXqaCQtrbXuIMuQqGl8Plmll4fLzV0IASDMd1hQpYBAFBzh6EoMzzbmi2F87pOphIAUqktADDqA5N2DaBb+ZnMXqRS2xEM0TGR1bpclZBO74Ast0OSImUfQ1uCed9+S80dAYCyBR15R1ZxhV0otNwVjroxDFXtRjZ3oO41ORcxglBhtEB0ogUp11HiBaUqR1YvcGR53oemprVob7+ArsMVr1xFWUlBqM2RNc0MBgYedr9W1d66OhYA9OdVzXkwzWw+bpKjQrbeaEEkfCzaWl8DWW6BqvUhm6288EtVe+Dz0JHl3IxslO78mBkYRsIVzKIUdbPwNKZCC80a78jSn5OhD7sFVhbRYVqZhsUKGAyGdzAhywAAe2t6Bp1136iMrJlvv2WYachymz2piy+ZR5SkZgzFN+L5F65CNHoCOjsuAoCGDEVIp3eNihWMXk8TdH3Is0yq49ZlXUe29Ha+48jyvM9tyxUOHeMK2Wx2HwjRXUFcD2aV0QJRCOX7yDrRAt5fVQsso8CR5TgOq0/4jdsftnDyUSWN6Gu9EDt85K944cV34eDB3wCwowVyfUJWqDIjW9ilg+amy1/cVMr8+ddh7tz3QZZaoWkD+Q4GeiVCtrtuMV+IwCu2w+l3L1yTyc0gRIeidEISo/n+qfZ7W1baJqb9lpWzi11bAPAglgbLnurFYDCmNkzIMgAAOfUIfMoMuyF9g6IFbrFXGqaZcqMCitxWcvtOlltw6NBvEAotw3Erf+B+qDeil2w6s7OouX4paN9H3d1+rxfHrTOMOHh7DGYphIJogSNqQ6FjwPMSBCGAdGoHAPozrHtNZtpu81XZVqYghqFp/SBEd4U1HWJQnSPrdC0YieNAV+qMCUJ1ItohkXgRPmUmtm3/IoaHn6PRgnodWaG6gQjOyFZBCLnRAq8q5mWlDen0DreAaTxHlhATmtbnabRAUTrh988Fx3GQ5RZwnOj2ZfX5ZkCUIshl6a6Cc1Eky40XstTFz9FpcmIMPC/b0YKMZ8MgGAxG42DBGwYAOppVUWbANFMTUOyVAmeJCIWWYij+5KhCL4fFiz8LYhluX1enQXkjMrLp9A60NL96zMc4zco1bcCTJvGF+cmx2iyNLPYSxYibpxPFCNKZnQDgiSNrGKmqtrNFMYycG40Iu+usro/sMER75OxICmMVlVCrI5tIvISurnehr//fOHzkL7CsnCddCzSjr+LH6/oQOE6GonQgpx4Z8+KmWmhbvZT7b63EqOV0ejd6e+/G/PkfhKYNgBDT02Kv5ubTcMqr/gmARodkuQ3DiRcgCCGIYhiiGEHO7l3rvAebm0/z7PjlcB1ZI253EpBgEQ2mlWPRAgZjGsAcWYbd6iflRguMRkcLjBRMM4WAfy44Tijr+kTCx7oiFsiLGa+FrGEkkc3uRyh8zJiPc/Jze/f+H/r67gEhVl3HpR+U1GUeSzwWFnspSidisZPdbXZRDCOdtoWs1uOK/ZrXVGXvUlEI5QvEnGIve/pYpVAnrIwjWyDiK6GWrgWGkUQmswuRyHFobjoNvb13A4AHXQuUigR9KrUNjz1+pt23tRmiGIaq9tTdQ7YQ2e4AIIoR+P3zSjqye/d+H7v3fAe53GHXER5ZhFkvhfEQn9KJROIF9/efvgcsNx8LAHO63uUWRDUKXrD7yOr0goq2j9PsfspMyDIYUx0mZBm2C4IJKPaibbdMtzgoAlluq3j70plz7nVGNpncDIBHOLR8zMcJgh/z5l4LVevDps0fxsaNF8OsYy2WlXO3r8UxiqtoTo8Dx8nomv1OHLfyh+59ohhFJrPLjj2Y7mjVWjHMdMWFXvT4oYJ/FziyFZ4XQiy73dJ40YIKhawQgG7EsXv3d+0LtAwOHvrdmM9JJF4Cx/EIh1egufk0uxCRdx34WuHtLevxyGT2Ipc7iIGBhyFJTa6Q9bIJvtOBweebVTSMwEHV+tHT+w9wnIze3n9AVXshCIGq3gtVr0nphKb1u2JZFJ0WbOULLhuBwPtgmip0fQiSFKX9qi0NlpllGVkGYxowraIFlmXhzjvvxOOPPw5RFHH66afjda973WQva9pCiIlUegc0tRccJ0GWWyAIARCiwbI0z7NppkELvAwjSfOdYgjh8LEIh8Z2Qh04jrOn8HgrZBPJTQgGF1bkvixc+AkAdBv2yadei2x2b9E0sGowzSwUpROZzG4IY0ULBDqaNu9m5bebJTECy9LQ1HQqBgYehKoegc9Xe/N0Q49XFZtwhA4t4sk3d6/UkXWmKZVzZAW32KtSIevHwMCDGBh40C7eI9i27UbM6Lyk7M83kfgPgsGlEAQ/wuGVEIQQBKH+bX2nP+l4GPYI3v6BBxGLroYohmEYw/D7Ztd1/EKc0ad5IVsceTh8+I9QlA60t52Hnt5/YEbnJZDl9ooK7GrFiRQp9vvV6RjiRWynGnjeB0I0JJKb0Nx8Bo0W2O23WEaWwZj6TBtH1rIsrFy5Er/85S/R0tICSZJw5ZVX4sorr5zspU1benr+jo0bL0IyuQWK0gGOy2fTGuHKmmYGitIB00zTKnchiFXH3YKZM99U8WvwvOJ5sVcyuQnh8LFVPScQmA+eV9wq8FqwLNXdvh6rqEdROstuczvuld8/F6IYc/OqtZLO7EEgML/ixzuig24HU9FTTR9ZZ3KbVCYjy1eZkeXt8yjL7Rgefg7x4WcBwO6OUZpE8j+IRFbaxxHR1HRK3YVedC2VZYWdc2BZWerIOnETD6MFgqBAFMNFQnYovhE9PXchmz2E/ft/gq6uq9DR8XokEs/jwMFfeSqkS+G8p0c7shMrZJ1dhaamUzBr1lvt/2N0mFaWRQsYjGnAtHFkOY7D7bffjiVLlri3nXnmmTjnnHPwsY99DMcff/zkLW6a0td/Hwgxcejw790RiI6gMs1MWXFRK4aZtj+8CAgxamotxPNKA6IFmzB71hVVPYfjOPh8s912QbVgmdkCIVtetDQ1neoWyYxElOiHvqJ0wOebUXfngkxmF2bOvLzixzs/w0LxwQs+mFplEQfHjRTLZmQl2hS/wmhBS8urIfAyTEvDQP/9IHAKBMsLWVXtRaTgQqZr9lWeTHDjecWNFqTTO7Fn7/ex/Jj/GSXKdSMB2oifQJKbwdsRGi+jBQDgU2YiEJgHjhOhaf3YvetbiA9vhCy3IxQ6Bl2zrwTAo739QshyK7pmX+Xp8UfiRIqcv514iTTB0YJQaDlOXP1HRKMn0l0fNyPLogUMxnRgWgnZQhELAEuX0i3dnp6eyViSZ+Ryh9HX9290dl5ctg2R11iWjsHBhyHLrcjlDiIaXQ0gXz2vqj04dPiPWDD/w27hRb2YZrrI6arlg9ppjeMVtNBnT9WOLAD4fbPcBu61YFo5V8iONcGJ4zg3HzwSRwAqcjt8vplVdy6gPXEJOI6HZRnIZPYiaI/NrIS8kM2Lj2oKrpw86liONG0HVpmQjUZWIRpZhcHBx7B37/cB0J6/Y71nrBFtlpqbTwVwakXHG4vCPrLJ5Bb09NwJRW7H4sWfLXqcYQwjGj0Bw8PPQZKa3TXXO9VrJKtW/QyS1IzBwYegqt3I5Q5h3txrMRR/CiuWf8uNUqw89nueHrccrpD1OcVeTrRgYoUsx3GIxU7Kf12QkXUKPBkMxtRl2kQLSvHjH/8YoVAIa9asKfsYVVWRSCSK/kwlhuIb8djjZ2L7ji9hYOBBGEYaL/7nGgzFNzb0uMPDz8I0M1i08NMAUODI0g/P/oEHsHfv95HJ7PHsmKaRhiLnt8hr2UL0OiObTL0MgEOowpxuIT7/bHeYQS1YlgpRjIDn/RBqbHzvfPgrSjsUpXpHdtPmD2P3nu8CAHK5AyBELzmmtxxORrbwZymIoYp7ERtmCqIYGjOLyfNK1c5YJHIcCLHcLg6kII7S3XNnkdA2zaxn/VoLodEC1T5GBjwvY/+BnyOR+A8AYHDoCRBCoOvDCAYXIxhcAr+/Kz9YwsNoAQC7K4kCWW61M/B+zJ//YZx04p/LjkdtJH7fLHtd9G9HwIpjTNebCAozso14XzAYDG+ZtkL27rvvxle+8hV897vfRVNT+avmDRs2IBqNun+6uromcJXjEx96CuHwCoRDK6Cq3chkdqG//148//wV6Ou/DwCwffuX7cp67+jvvx/RyGq0t18IQQi6BRfU+eKQTLwEgG67e4VhZ2QdanNkvc3IamqvXSle/Vp8vtnI1REtoFuXPkhStGb3TXSFbAd8ygy3bVKl5LIHcPjwH2BZBtLpneB5f1XFYnQOvK9YyAoBGBX2IjYr6Fsr8D7wQmUZWQdRDNvz6+nvu+PIWpaKzZs/gsGhx/NrsBqzhUyr4XPuMQKBBfD5ZiOZ2gpV7cPzz1+BVGqrPdkshpNPuh2dHRdBFOzccYM6BjituJqbTy85iGSi8Plm4uSTbkcouBgA/f+A4wT3+58seE7OZ2Qr3AlgMBiTx7QUsvfddx8uu+wyfPWrX8W73/3uMR+7fv16DA8Pu38OHKh/Hn09dHf/Pxw4+Gv360x2D4LBRVB8ncipPVDVbghCCC0tZ6HfFrKHj/wFCVtYekV8+Dk0Na2FICg44fhbMaPzYgB0m00QgkjYAjbhoZA1zbQ7AhKoQ8h6mJGlo1VrEwx+36w6i71y4AUfFKUDUo2tnhz3SlE6IIqhigWkg2EmoWn9GBx8xB7Tu6DqKIkohoq2g0UhWLkja6TGPf+8UHm0oJCZM96E2bPeBiDfe9gZBFDYfoo6b94LWd7uI0sIoT1JeT8kKQJDH4auDwGgER5dj0OUohAEHziOd8+H1xlZB0fItrac3ZDXr4ZI5Dj33xzHQRSjU8CRlZkjy2BMI6ZNRtbhgQcewEUXXYQbb7wRn/70p8d9vKIoUJTq3JxG0tf3byRTW9E1+x0AaA/J1pazoWo9UNUee8JWJ3y2SDLNHEwz5el2OiEE6fR2zJ3zXgAoGjoAUEdN03rB87JnjqxlqSBEhyCGIIpBWJZe8RjUQuiHjIdC1kzWXCXt882Grg9VJMZGQogFy1Ih8D6sOu7HNa8hHDoGra2vgSCEXOFUDYaRAs/7cfjInyEKQQQCY4/pLYUzmSn/deVC1qygby3P+2pyxrq6roJl6di5639cR3akkHVFZoOiBbSwMS+KePihGwnodpGbqvbAMIaLCpwaFS1wEIQAVqy4GW2tr2nI69dDc/Pp4/ZzbjScHS2wrKzbx5jBYExdppUj+9BDD+H1r389brjhBqxfv36yl1MTqtqNbHYvcmo3CCHIZHYjEJgPRemkQtbuAyrLLdC0fveD10vxRgVyGqHQkpL3O9vsLS3nIJncUvcEKyDfzksQgrbwqc0F9TojaxjJmpu++/y0PVEtrqzzPfC8D7LcWnF7qZH4/XOw6rhbCnrsVitkk5g9623o6/s3enrvRrAGIeuMF3UQxCBMM2MXko13/PEvAujr1yb0OU4EwBUI2X77b9pHld5uNcSRdcS3aao0Iyv4IYlRGMYwDN0WslofdL14IITb0qxBjiwAdHa8YUq2ljp2xXfQ1PSqSV2DMxCBObIMxvRg2jiyqVQKr3/96xEKhbBr1y685z3vce975zvfidNPP30SV1c5zhStoaEn0dL8ahhGAoHAfJhWFqraDVXthk+Z4c5D13UqZE0PxVs6vR08r8Dvn1Pyfuc/786Oi9DX90/s2/djWJaKBQs+XPMxnS1vUQhCFEOwLL2m1/E6I0ujBbWJJFlqAc/7kMsdqnoogiM4vRQTgpDPZFa2Bh2WlUNr22vR1nYetu/4Epqa11Z93KVLPu9mrAH6MybEgGVpEMpkWxOJlxAOHwvDTI+bBV2x/Jt1CFmOuvhkpCPrXCDSCyy+EY6snbu1rCydEiUEIAh+6Pqw23ZMU3vsjGxeyFYytpjROGhGlrXfYjCmC9NGyEqShO985zsl72tra5vg1dQGIRY0rQ+iGMPQ0JMI2ELS758LTR+EpvUilzuE5qbT3TGSjoPkpQuZSm1DMLio7OQi5wO0ufl0iGIUu3bfBElqqkvIOlvNghCAKIRg8bWJUc+jBXUI2Xp6yTpV87U6saXgeV9Vrclo6yvqAIZDy7Dm5L/VdNxo9ISir/O9iFMlhWw6vQsbn7kYa06+kxZ7jbOFXm9FveOwAYCmF0cLnJ9DIwSLs7NhmhkaXxCDkMQocrnD0G1HNp3ZDcAq7cjWuGvBqA+Ol2Aa2YZlpxkMhrdMGyGrKEqRCzsd0bQBEGKgo+NCDAw8jKbYyVCUTohiEIrSAUJMJJNbMXPGm+wWOVlks/sBoOot47FIpbcjFCzvIApCAIoyA6IYxIIFH0UuRyf/0FxrbVXOeSEbgiCGwNXYC5bnZU+LvUwjVeQmVovfPxvZTPXN891ogYcZPJ5XQIgGQsyKxqu6QtbjKnHHUaRxktFFbH19/wZAxaRhpuCXGjtBiuPkEtECR8g6kRfvHVnngtAwkjCtLGShDaIYgVGQkU2ndwBAkSNLhSwHYYInXDEo9P+YHAjR2IhaBmMaMK0ystMd1e7xOXPGZcjlDuHAwVvh988FkB/TaFlZKEonZHs2eiq1zb7dw2hBahuCZfKxAP1Qd5rid81+B2bOeDMAQNcHaz6mYWbAcSJ4XoY4xTKy9YzEDATmI5PdW/XznAiAl06gI4orPT+GmXdkvUQUA/brly746uu/FwAdzVqJI1svhUM0NK0fohgpIWQbkJEVAgA4GEbK7VogStGiaIHzOyUWRQt8OOH4WxGzh5QwJhael90LDebIMhhTHyZkJxBV7YEgBBGJHIcF8z+EZHKTO9deEEKug6P4ZrgtclLp7QDgmQtpWTrSmd1jOrJtra/FjBmXuV87a1HtAplaMI00BCEAjuOg+GZAUWpzQT3PyJrJuvp1Bvzzkcnsrfp5luVEC7xzZPPFReXd+2x2v1u8l48WeCsknfexaaRG3aeqfUgkXgDHidCNeEUZ2XoZKWRDoWUwjAQsS81HCxogWDiOtzs4pNzCIclxZPVhd7IVwI26sGtuPrUiV53hPTwnwzDo4ByWkWUwpj7TJlpwNKCqPe5AgHnzPoBsdj9aml8NgOYtFaUDmcxu+JQZEAQfBCGEtC1kTY+iBap6xJ7eNL/sYzo7Lyr6WhTD4Di5qPdmtdA2S1TgLFr4qZpfZ+o5svOQyx2oOnZBxSYtRPIKJ29b7vwQQvDU0xdi7pxrMH/+B2HaHRu8Fkw8L4PjJNftLGRg4AFIUjMCgbnUkTVTNU81q2Y9zsWPrg0g1rQG8fjT0LQBe+KW0jDRSHv72o6s4IfodC0w6DQvVe2GKEY8GwPNqB+Ol90MM3NkGYypD/vfcwLJqd2uC8NxPJYvvwnt7evc+xWlo6g1lSw3u2LAK/HmVGs7LmslcBzntgOrFaNAyNJpULVlbb3OyNL2T/VFCwgxq57wZVkqeN435mjWaskL2dIXPdQZzGDP3v9DOr2zrmEQ4yEIwZLRgnRmFyLhFZCkZrsH78Q6sqrWj1BwGQDqzppWY1ssiWIYRqEjK0Xt98thBO2JVlJBoRdj8uF52Y1+MCHLYEx9mJCdQFS1u2hE60gUpaNoPKgjNmk1uldCtt/u5Vrdf9CK3OaK4FpQ1R57qld9eOHIWpaG3Xu+B8vS6nZkFaUTPK8gk9lT1fOogPK22brzeuVatel6HAAQCMzF7j3frft7HwtRDMIsMWVMU/shy22QpBgMfdh2ZBuckeVkeyCHCV0fgt8/Bzzvg6b1wzKznsY7RiIIIZi2I8sLfrffbjZ7AAH/XHCcVJSPZUw+hZ1ReJ71kWUwpjpMyE4A/f0P4Pnnr0Iud7ggFzeacGg5wqEV7teOkPX5ZnnqyDqFZNVA24HVnpHNZvchEJhX8/MdvMjIplLbsGfPd5FMbgIhel1ijuN4+P1zq87JWmbO09ZbQD5va5XJyDpjUdvbXodMZk9DhawgBEpO91K1XshKOyQpBk0fhGlmGu7IcrYjq+lDACzIcqvb3q7RTe+LowUB1321rBxEKQpZbi3qWMCYfHjO2S3yNvrDYDAaA8vITgDp9A4MDj0KAGhvf13Zx82Zc3XR13khO9OdBFQvmj4AqQZn1Pngr5Vsdh/a2y+s+fkOhdvEta+FtjRLpWj+uNbJXg60c0G1jmzO823L8TKyuj4EjpMQDC7CgYO3NljIhkoKWU3rgyK3wTSz7kS0iehaQCwNuhuraXHfzxwnNnT7WBRCdmEZba5fOAFNEqNQlHaIUmSMV2BMNI54dYpTGQzG1IY5shMAzQrSU+0bw5EdieOceu7I1iRka8/IEkKQze5HwG41Vg88r9Sdkc1mad/XVJq2NqtXzAUC86uOFlBH1tstbY7j7Z6p5RzZOCSpiV4YGXGoWq/nPWQdRCFQMiOrqn2QlTZIUtTNFTc+I6tQR1brB8cJkKQmyHIr1AlwZAUx5P7eUGEkuBdOkhSDzzd7zLgRY+LhbCHbyMgJg8HwDubITgCmmUZL8+nwB+YiMmIK0lg4jqzfNwtDQ096shZN669RyNbuyNKinqTbM7cevMjIZmwhm7Yd2bqFrH8eurvvqOo5luW9kAUAQVDKdrjQ9SFbPNFJWanUNsSiJ3q+BoC6rCMdWctSYRhxKHI7OPCusz5RXQs0rR+S1AyO4+0Lsz7wvNRYR1YMuUMPnONIUhSmmYIoRrBs6ZdZm60pRqEjy2Awpj7MkZ0ATCMNUYph6ZIvQKmiW4Ast4HjRChKh2eTvfS6MrK1CVnHAfX7u2p6fiFeZGSdSVy0Ry9f90x7n28mVLUXlmVU/BzqBHovZHneV9ax1vQh241sA8dJyGT2NDBaMLrYq7BjRtFI1kY7svZkL90YhiTFAACK3J7PyDawoEcUQtDUXgB5YeQUd0lSFJIUZaNopxhORrYRv58MBsN7mJCdAGjrqeo/LFtazsSq434CXvDXnQt10PRaowVt0PUhWJZe9XOz2f1UvHjwgV1YUVwrmew++P1zoOuDEMVQ3Tk46nBaVRXDOe23vGasDhdOtIDjeHskcn2FbmNB228V95F1BmrQrgVNAACOEzwvehuJk6sujBHISjtUtcft79ooBDEE1Y0W2I6snZMtzMsypg7MkWUwphdMyE4AtDK7etdPEHxoaXm1vZ3ujSNLM7KVu8IOznNqGVNLhWP9sQKg/miBaWagab1oip0CwJvxrE4nCmcEcUXrsHLuJC4v4fnxowUA3HiB0Kj2WwKNFliW4U4S09ReCEIQohh010EHMjS2oIZzhWz+gpK2k+uDaWbBN7JrgRACsXcQXEdWitpDRlikYCrCMrIMxvSCCdkJoHCqVS14Nc3KsgwqZmrMyAKoKV6QtR1QL+B5BYSYVW3jF6/lAACgqWktAG+2tenEphhyajcOHPw1tmz9zLjPscwseMF7J1IQyl/06Ha0AAB8ChWyDW2/ZaSwafOHsW/fLQCoIyvLbQAASYzR49cZ66gEp2sBdV/tMdBKh31R09fwjGx+HVQYSWKU9Y6dwuSjBcyRZTCmA0zITgCmma6rxZDA++oSbw66EQdAasrIimIEPO9DLne46udmM/s86VgAAIK9DU1qzMlmsnshCEFEIivp63kk5Hy+Tqi5IxgaehLx+MZxH2+Y6YZ0DKAZWSpkLUtDd/ff3Pt0PQ7ZFrKKPXijYUJWpJO94vGnkbW7E2hqHxSlnd4v+MDzvoYXegEF0QIj78g6gjqb3dfwrgV0DX53DK0oRVjv2ClMPlrApnoxGNMBJmQnAMOoLSPr4PzHWm+8oLCPZrVwHIdweDkSyU1VPc80VSRTWxEKLav6mCXX4Z6L2hzqbIbGHBTFWyGnKDOQU7uRyexCLncIhJhjPt40Ug0RcUJBRnZo6Cls3vJR10UvFS1oXPutILLZ/dD1QRhGAoA9DKEg1iJJsYlxZDnataAwD0vXwdmT7hrbRxYoFkVNTWvRVjCamjG1cDLbAs+ELIMxHWBCdgIwzfrmybsTm+qMF1BBw7vby9USCR+HZOI/VT0nHn8KhJjuVn69OI5suTGsAHDw0O+wfcdXQQgZdV86vROBwHwIgg+S1OyZkPUpnchlDyCT2QtCdKhqz5iPN8xUQ6r1aUaWnpt0ZicAQLWr5oujBQ12ZIWge+Fl6FTIalo/FLndfYwkxSbWkbWybrSA5yVIUjNdawMFi3N+Cy9kW1vOwvx5H2jYMRn1wdnRAp45sgzGtIAJ2QnAGU9ZK+NNbKoUWujV7G5xVkskchyGE/8pKRDL0T/wIGKxkz1rMeSeizGGIgwNPo4DB36OQ4d/P+q+ZGorwmE6Btjnm+GhI9uJ+PAzIIR2dXCyuOUwjFRD2i7xgs8VkOm0I2R7YJo5WFbOFbJOKzTHofWawiiN48hqaq+7pQ/QnGyjW28BpaMFAApiDg3sWlDCkWVMbVi0gMGYXjAh22AIserPyAoeObJ6bT1kHSKR42AYceRyY4u0QgYGHkRry1k1H3MkfAXRAk3rRyAwH9u3fxmGkXRvtywN6fQOhEPLAQBtrechFj3Jk3X5fDOg60MQhAAUpXNcIduoaAGdfDZayOr6EIC8cA0GF+Gkk26Dz87Keo3jfApCELpBxyurWh9kJR8tGNlPtlHkuxZkIBYKWVtUN7RrgegIWVY4NF1whSyLFjAY04JpN9nLNE08/vjj6OnpwcqVK7F06dLJXtKYmGYWQH3V2XwF2+mVkMsdgqy0j//AMvj9cyGKYSQS/6moC0EmswfZ7D60tJxd8zFH4ggkc0SP0kI0vR8dHW/Enj03I5s7hLCdz02nd4AQHeHwMQCA+fM/6Nm6nBZcgcACCEIQ2dz+MR/fyGiBYSRBCCkjZJvdx0Yjqzw/voPzfo/FTkbCdvH1ERdSixavB8c1/r8gp2uBgfz7BwBkezRsYx1ZW9AzUTRtYI4sgzG9mFaO7NDQENauXYu3v/3t+NnPfoaTTjoJn/jEJyZ7WWPijOmst/0WANdpq5V4fCOi0dU1P5/jeITDK5GoMCebyewFz8sIBObXfMyR8LwPHCe529Wl0LR+hIKLwfMK1IIuC8nkVihyR019dMfDKZ4KBhbB7+8a05ElxKS56QYWe+n6AAwjjkBgEVTNEbJ8wzKxI3HaSzU3nw7DGLZ7ympFhYY+pbOqSXe14hR7WSOGHziObCMne/G8SLszMEd22sAysgzG9GJaObLXX389EokENm/ejHA4jMcffxynn3461q1bh9e+9rWTvbyS5IXs5GZkDSOJZHILFi/6bM2vAQCh0FKkM7sqeizNBnvb8J7jOIhi2N2uHn1MFYaRhCy3wuebiVwuP6QgmdqMkO3Geo3jyAaDi0CIiYGBB8s+1nGTGxItEGj7rXR6FwAeTU2vQi532O1YUGs+ulr8/llYc/KdIMQAIabbgkuqI9pSK05GlhBrhCPb+IwsQOMFTBRNH5gjy2BML6aNI0sIwe9//3tcffXVCIepq3TqqadizZo1+O1vfzvJqyuPYQvZetw3juPBcXJd7bfi8WfA8yIikeNrfg2AFuiM5YYWUjgS1EskKVqUfS1E150WY612S6y8I5tKbnXzsV4jCH4Eg4sRja6mjuwYOWJn7Y2JFvhgWjmk0zvh98+G3z8HqtqDTGYvfL5Znh9vLMLh5a4DnM3sBQDIcvMYz2gMfEFGtqjYS3aEbGPdUkEIMUd2GkHjLhyLgzAY04Rp48geOHAA8Xgcxx57bNHtK1euxHPPPVf2eaqqQlXzTmYiUZkI8wrTsN23Oj/I6MSm2h3ZofhTiEROgFDnNClRikDXKxWy9fXPLbsGMeK2dBqJ0zM178hSIUsIQTK1FbO7rvR8PQ6nvOqfAIDh4eegaf1lu1UYRgpAfRc35RB4GZalIp3ZiWBgERSlA6rag0TyJUQix3l+vPEQxQgAmpfmef+kuFw8L9suuDXhXQsA+nNm7t70ge76RCFNwkUXg8GonmnjyA4P063kpqbiHqjNzc3ufaXYsGEDotGo+6erq6uh6xyJaabtXGd9c9UL+4PWQjz+NJpia+paA0DHaxpltvVHUm/bsXKIYqRoDbncYVgWbXulaQPgeQWCEIRPmQnVjhao6hGYZgqhYOOLA312IVy5nKxpUiErNGqyl5VDLnsQ/sBcKHIHdH0Aw8PPTbqQnQw3FnCGaFgAii8oQ6FlmDvnGshy7QWQlSDLrUVFdoypzymv+geaYqdM9jIYDEYFTBsh6/dTRyOVShXdnkwm3ftKsX79egwPD7t/DhyovHWUFxhmqq5CLwfaVml8IWtZ2ijnlhCCVOplT4QMFZGT78jq9hp0fRhPPX0hdu3+JgDqyMpyKziOo46sHS1IpbeD42T4PRqVOxay1AKe95cVsoaRAsdJbhbPS2hGVkVOPQyfMgOKXZmv64OIhCdeyPK8BEEIIJPdO2lirvA8F74fBcGPRYs+BZ5v7MbU8mNuwtw5Vzf0GAxvUZR2T7P9DAajcUwbIdvV1QVJkrBv376i2/ft24cFCxaUfZ6iKIhEIkV/JhLau9ILIUur0bPZQ2M+bvee7+LlbZ8rus0whmFZqluQVA+iFIFlqTArENUNy8gWiOn9+38C08zg8OE/wjDSrpAFAMU3A6raDUJMpNM7/n97dx4dRZX2D/zbWzqdrdMJkAQIIQlLNIEAKuhExhFFnRF9HQcGojgiR1AY5R1Ef+To+Krj6KgwKm4DyBEVGREQDYsLi8gkgAJjIMiOLLIkkBCyddKd7s7z+6PTJW0SDNrVnQrfzzkc6FtPd926VHWe3Lp1LyIjUlVPWgDvrcnzjZN1e7yLIajxg9LQNEbW4SiBObyrksgaDJGIjEwP+P7awmiMQV3dkZD1yOp15yay6i+J+2NhYXEcI0tEpBLNJLJmsxnXXXcdFi9erJSVlZXhiy++wM033xzCmp2fx/3LFkPw0evNcDpLsfmra1Fbu6/VuPr6Y82WR/W99iU1v4SpaVqltvTKBiqJ/zGjyQq3qxoNDWdw7Pg76NPnCeh0JpSUfuiXyIabu0LEA6fzNOy1BxAZ2TvgdWmNbwoukUbY7Yf8tnnctcqKT4HmnUe2Em53FcLDu8JgCIfRaEV0dNYvHt7ycxmNMXC5zrS7HlkiItI+zSSyAPD8889j06ZNyM3NxSuvvILhw4cjKysL48aNC3XVWhWo2+sGvRm19v1NidmpVuNcrrPKIgw+TmcpdDpTQBIJo5LI/vQ4WbfHrsq0Q77hDVXV2yHSiK5Jf0S3bnfg+PEF3kS2aYon36pVTmeJ9+GnYCay4clw1B9DWfkabNl6C0Q8yja1lqcFmoagNDYAAMLN3uM3mxMQE9NPlf21hW+c7LlzyAaTfyLLh66IiDoSTSWy/fv3x/bt25GamoodO3Zg3Lhx2LBhA8LCAj/WMFDcHnuAhhaYYbfvBwC4XJWtxrlclWhslsieDtiYL19S0to8rudSrUe2aR5Zp6MUZnMi9Hojuib9AXV1h1BxdpPSI2swWGAy2VDvOAG7/SAio4LcI+s4hqqqb9DY6EBDwxllm1qregHeMbKAd1J3XztkZPwdPZLHq7K/tjA1LUMbFrIeWXPT35agzaNLRETBoZnpt3zS09Px7LPPhroabeZ9cj8AiazBrDw8dL4k0uWqgF4f7lfmdJYGZFgB4J0GTK83tzr91bnUmrXAO3NCDZzOUoQ3jfu1WHrAGjMQVdVFfit3hYd3Q2npR/B47IiK7BPwurTGYumB+vpjqK7aAQBwOEuU6Z487lpVFkMAvGNkAe8CDb6kLdZ6mSr7aivfXLKhWAwB8M1awGEFREQdEbsnVBa4MbLhAAQA4P5Rj6zHU4+6usMAWumRbTgdkAe9fNo6c4G6029Ve5PD8B+OKyHxfwDAL5Htlf7/UFm5FXp9GCxN02IFQ3h4dzQ2OlBV7Z3j2OkohdN5Cmcrt8LtrlF1aIF3/11V+fyf44ehBaF92EuNuwNERBRaTGRV5p1+65cnc74EBWjeI1tamo/tO8bD46lHY6MDnsY6v+1O5yllFaNAMBqtyvRXPg7HSb9xoICKPbImK0TcqKs7DHPTOFAASOjyO+j1FlgsP8wVHBeXg8sGfYA+fZ4M6sNOvjqIeGAyxcHpLMHx4wuwe/fD6g4taOqR9Y0Pbg98DwiG+mEvg5E9skREHQ0TWZUFapyo75axTmdqNkbW5a6Cw1ECl+ts0z7rISLK9kAOLQAAkykGblcVdu+ZjhMn3gcAbNs2EqdPf+YXp948st5b1Xb7AWVoAeB9mGjo1ZubzZcbHX0punUdHfB6nI/BYEFYWGeYwxIQE50Fh7ME9rpDcDiOw+E4qd7QgqYxsuHm9pPIhrxHlkMLiIg6LM2NkdUabzIXmIe9AO9qRG6Xf4+sx10LERfs9oMAABE3RBqg03nf433YK/BDC85WbIJeH+6dSaHhtLJ/pV6eelXm7fQlRh6Pvdlx+ZLc9sBiSfau6mSMhdNRiro67zRcNTXfolP8tars03eemNvT0AKT9/8rVD2yOp0eOp0RBj0TWSKijoY9sirzeOoCM0bW4E1QYmL6w+WubLYPAKip3XNOmXecbGOjCw0N5cqDRoFgMlrhdJ6Cw3kSLtfZpvGygvp6/8Uq1Bwj63PuGNn2Jjl5PJK73w1zeBLqHSdQV3cEgPcXDdXHyLajHtkwUzwMhqiQLEbgo9eHcWgBEVEHxERWZQMHvIOkxN//4s/R683Q68MQGdkbrh/1yLo9dgBArV8i601uGxrKAUhAhxYYTTGorin27ttVqQx1qKv/XolpbGyAiEuV5MG37CmAgPY0B1pCl9/CZrsS4eZE1NR8CxEXYq1XAICKQwsikdpzCmJjL1fl83+O+Phf44rLPwrpkp86XRiHFhARdUBMZFVmNicE5Ha3QW9BeHgPhJlszcbIepREdq+yL18iG8hVvXyMxhjUNyWtLlelMjb33B5ZX4+wWrdzjcYY71ypIbpdfSHM5kSIuKDXW9Cp83UAAKNBnSEQOp0OaWn/266GWOh0BkRGtr6MdDDo9WEh7REmIiJ1cIysRiQl3Q6b7Uq4PXa43VUQEaWHy5fI2u3fISqqD2pr9yqJbHX1dhiNMQHtjfI9hQ4ADa4KJbF2uSrgclXDZIpR6qRWL5g3kTVqYoJ7c9MMApERaYiOygQA1YYWUMu8iSxX9SIi6mjafxZAALw9qlbrQJiM3qmnfIkiALjdvn83ItzsfcjH46nHmYpCHDj4HFJTpwS0Lr5lao1Gq9Ija2iaTspedwAHv5uhrGQViPHBLdchpl0PKziXb2aFiMg0REdnQq8PR1gAxyzTT2OPLBFRx8QeWY0xmWIBAC5XldKr51s9zOOxwxQWD73eDI+nDkeOzkZi4v+gR/I9Aa2D0eS9bW21DsSZM1/C6TwFiyUZTmcpjh6di/Lytcotf6NKPbKmAPcyq8lojIbBEIWIiHSYTFYMvfqrdnXr/2JgNET53UkgIqKOgT2yGuNLZBsaylBWthYA4PHUIiIiTdluMETA46mDy3UGMTHZga9DU0JgtQ4CANTVHYbJFAuLJQXl5d461dbuA4Bmy+UGSlLSSCQl3a7KZ6uhW7dcdOrknXKLSWzwZWW9hq5dR4W6GkREFGBMZDXGYIiCTmfAyZMfoHjnfXC77XC77YiMSAcAhJlsTYlsPRoazsJksgW8Dr7pr/wTWRsiLCkAAJMpHrX2fTAYIlQbw9qly42Ij79Glc9WQ+9eeYiJzgp1NS5aFks3zfTgExFR2zGR1RidTgej0YrTZZ8D8M4a4PHUITKyFwDA1JTIuj01cLurEKZCIhsZ2QvpadMQa70MgA519UdgMsUiKvoSWK2XIz7+17DbDzBxICIiIlUxkdUgk8kKt9s7l6zLdQaNjfWIjExv2hYLg94Cp6MEgKjSI6vXh6Fnz8nQ68NgMsXC5ToLkzEWPZLvxaCB78ESnozGRicTWSIiIlIVE1kNMhpjlX/XO04AAMzmJCQm3Ibo6CwYDBFwOE4CgCqJ7Ll8Y3ZNJht0Oh30ehMslmQAXNueiIiI1MVZCzTIZLIiPLwbPB4HHI7jALzzkmZm/hMAmhLZE02xserWpSmpPnc/FksPpR5EREREamGPrAZFRvZGly6/RVhYnJKwnps06g0W1DuOw2CIgl4fpmpdTGHeabbO7fkNt3RvqhPn7SQiIiL1sEdWg3r3ygMAVFftgKPel8j+kDQaDBFwuSoQHp6sel1a6pE1h3VpmoCePbJERESkHk32yNrtdjidzlBXI+RMpljUNw0tODdp9P1bjRkLWqrDuX8DgE6nR3h4dyayREREpCpNJbILFy7EwIEDkZSUhNjYWAwZMgRbt24NdbVCxmSyweE40Wy+Vl8CaQoLRiJr8/vbx2JJ4cT/REREpCrNJLIejweffvop3n77bVRVVaGyshLZ2dn47W9/i4qKilBXLyRMJhs8HnuzsagGg0XZHow6AHplkQSfvn2eRM+USarvn4iIiC5emklkDQYD3nvvPWRnZ0On08FsNuPJJ5/EmTNnLtpeWd/t/OaJbFOPrClO9TpERvZCVFTfZit4WSzdYTZ3UX3/REREdPHSTCLbkoMHDwIAEhMTQ1yT0PD1uBpbTWRjVa9DbOzlGDJ4per7ISIiIvqxkM5acPbsWdjt9vPGJCUlwWAwNCuvq6vDlClTcO211yI7O7vV9zudTr8Hw6qrq39+hdsZpUfW+KNEVh+8oQVEREREoRLSRPbpp5/G4sWLzxtTWFiInj17+pU1NDRg5MiRqKurw2effXbe9//jH//AU0899Uur2i75EtUfzw7ww6wF6g8tICIiIgoVnYhIqCtxIXxJ7O7du/Hll1+ie/fu541vqUc2OTkZVVVViImJOc872z+7/Tt89fUN6NLlZvTLekUpr6jYhKLtd2HQwH/DZhsSwhoSERERXbjq6mpYrdafzNc0tSCCy+XCqFGj2pzEAoDZbIbZbA5C7YLPN7Sg9TGyHFpAREREHZdmEtnGxkaMGTMGX331FfLz8wEAx497FwOIi4tDRMTFN/m+0WgF0HyMbFhYPHS6MM4aQERERB2aZhLZqqoqfP311zCZTBg5cqTfthkzZiA3NzdENQsdvd4IozGm2fRbFksyhl69OSizFhARERGFimYSWZvNpvTA0g9MJluzoQXe8tjgV4aIiIgoiDSTyFLLUns+iJiY/qGuBhEREVHQMZHVuKSk34e6CkREREQhoemVvYiIiIjo4sVEloiIiIg0iYksEREREWkSE1kiIiIi0iQmskRERESkSUxkiYiIiEiTmMgSERERkSZddPPIiggAoLq6OsQ1ISIiIqKW+PI0X97Wmosuka2pqQEAJCcnh7gmRERERHQ+NTU1sFqtrW7XyU+luh1MY2MjTp48iejoaOh0OtX3V11djeTkZBw7dgwxMTGq708r2C6tY9u0jm3TMrZL69g2rWPbtIzt0rpgto2IoKamBl27doVe3/pI2IuuR1av16N79+5B329MTAwviBawXVrHtmkd26ZlbJfWsW1ax7ZpGduldcFqm/P1xPrwYS8iIiIi0iQmskRERESkSUxkVWY2m/HEE0/AbDaHuirtCtuldWyb1rFtWsZ2aR3bpnVsm5axXVrXHtvmonvYi4iIiIg6BvbIEhEREZEmMZElIiIiIk1iIktEREREmnTRzSMbTHa7HXv37oXNZkNaWlqoqxN0Ho8Hmzdvblbet29fdO7c2a+soaEBu3btgsViQUZGRrCqGHQ7d+5EXV0dhgwZ0uL2xsZG7Nq1CyKCzMxMGAyGnxWjNQ6HA9988w26du2Knj17+m07e/Ysdu3a1ew9V1xxRbMHDqqqqnDgwAEkJiaGZL7oQHO73di3bx/Cw8PRs2fPVv+vjxw5gvLycmRkZCAqKupnx2hJZWUlDh8+jO7duzf7PhERbNy4sdl7evfujYSEBL8yl8uFXbt2wWw2IyMjIygL5aittLQUJSUlSElJQVxcXIsx5eXlOHz4MHr06NGsTS4kRks8Hg/2798PnU6H1NTUZt8fO3fuRFVVlV9Z586d0bdv32aftX//ftTW1iIzM7NdPfj0S23fvh21tbW4+uqrm22rr6/H7t27YbVa0atXrxbf35aYgBNSxcKFCyU6Olr69Okj0dHRcu2110plZWWoqxVUZ8+eFQCSnZ0tOTk5yp/PP//cL27t2rXSuXNnSU1Nlfj4eMnOzpbvv/8+RLVWx1tvvSUDBgwQm80m8fHxLcYUFxdLenq6JCUlSbdu3SQlJUW++eabC47RkrKyMnnooYckKSlJLBaLTJs2rVnMihUrRKfT+Z1DOTk5UlJS4hf30ksvSXh4uFxyySVisVhk5MiR4nA4gnUoAdXQ0CB//etfpVOnTpKZmSndu3eX1NRUWbdunV9cTU2N3HjjjRIZGSl9+/aVyMhImT9//gXHaMnevXvllltuEZvNJgMGDJCoqCi59dZb/b5f6+vrBYD069fP75xZsWKF32dt2LBBEhMTJSUlRTp16iRZWVly6NChYB9SwGzdulVycnKke/fuMmDAAAkPD5c777yz2XUwffp0MZvNcumll4rZbJbJkydLY2PjBcdoyWuvvSbdunWTrKwsSUtLk/j4+GbXQU5OjiQnJ/udM0888YRfTElJiQwePFhiY2MlLS1N4uLiZOXKlcE7EBWtXbtWjEajABCXy+W3bdmyZWK1WqVXr15itVrlV7/6lZSVlV1wjBqYyKrgwIEDYjKZZO7cuSLiTej69u0r99xzT4hrFly+RHbr1q3njbHZbPLoo4+KiIjT6ZShQ4fKtddeG6xqBkVeXp7897//lZdeeqnFRNbj8UhGRoaMHj1a+WExduxYSUtLU75Q2hKjNdu2bZOZM2dKeXm5ZGdnt5rIms3m835OYWGh6HQ6WbVqlYiIHDt2TBITE+Xxxx9Xpd5qq6qqkqefflqqqqpExPt/P3XqVLFarUqZiMj9998vvXv3ljNnzoiIyPz588VgMMju3bsvKEZLVqxYIcuXL1denzp1Snr37u33/epLZAsKClr9nJqaGuncubM89NBDIiLicrnk+uuvl6uuukq9yqtsyZIlUlRUpLw+dOiQWK1WmTFjhlK2aNEiMZvNsmXLFhER2blzp0RGRsqcOXMuKEZrZs6cKRUVFcrrWbNmiV6vl+PHjytlLSWuPzZixAgZMmSI1NXViYjI008/LVFRUXLq1ClV6h0sp06dkh49esjUqVObJbLHjh0Ti8UiL774ooh4r53s7GwZNWrUBcWohYmsCv7v//5PkpKS/H57fe211yQ8PFw5+S8GvkR22bJlsm3bNjl79myzmLfeekvCwsL8fjivXLlSAMjhw4eDV9kgaS2R/c9//iMA5Ntvv1XK9u3bJwBkzZo1bY7Rsp9KZHfv3i3FxcVSX1/fLGb8+PFy+eWX+5Xl5eVJt27dVKtvsO3du1cAyMaNG0XE22sbFRUlL7/8sl9cjx49ZPr06W2O6Qjy8vKkd+/eymtfIrto0SLZtm2bXwLj8+9//1sMBoOUl5crZWvXrhUAsmfPnqDUOxj69+8vf/nLX5TXN9xwg9x2221+MWPHjpUhQ4ZcUIzWFRcXCwDZtm2bUpaTkyNTp06VLVu2yLFjx5q9p7S0VHQ6nSxdulQpq6urk8jISHn11VeDUm81NDY2yk033STPPfecLFiwoFki+8ILL4jNZvMre/vtt8VoNCo/19sSoxY+7KWCoqIiDBo0yG+s1eDBg+FwOLB3794Q1iw07rvvPowbNw5dunTBHXfc4TcGqaioCL179/Zbs3nw4MHKtotFUVERzGYzMjMzlbI+ffogJiZGaYe2xHRUTqcTI0aMwO233w6bzYYnn3zSb3tRUREuu+wyv7LBgwfjxIkTKCsrC2JN1bN161bodDplvP2BAwdQW1vb7Lgvv/xy5XxoS0xHsG3bthbH4z3wwAO45557kJiYiFGjRqGiokLZVlRUhJ49eyI+Pl4p6wjfPS6XC4WFhVizZg2mTZuGiooKTJ48Wdne2rWyfft2SNO08m2J0aITJ06gsLAQy5Ytw3333YeRI0di0KBBfjGzZ8/GhAkTkJmZiezsbGzfvl3ZtmPHDoiIX9tYLBZkZmZq+pyZOXMm6uvr8cgjj7S4vaioCP3794fR+MNjVYMHD4bb7cbOnTvbHKMWJrIqqKio8PtyBKC8PveLtKMzmUxYuHAhTp8+jZ07d2L37t3YuHEjpkyZosS01Fa+hxMuprZqqR0A73nja4e2xHRE3bp1w5YtW/Ddd9/hwIEDyM/Px7PPPos333xTieno19zx48fx8MMPY8KECUhMTATww3G1dNznnjM/FaN18+bNw/r16/Hoo48qZXq9HvPnz8fp06dRXFyMvXv3oqioCJMmTVJiWjpnoqOjYTKZNN02NTU1yMvLw8MPP4zZs2fjnnvuQWpqqrK9tWvF6XSirq6uzTFaVFBQgOnTp+Ohhx5CSUkJJkyY4NfhdP/996O8vBzbt2/HyZMnkZ6ejttuuw21tbUAOub1tGXLFsycORMLFiyAXt9yStiW79dQfgczkVWByWSCw+HwK6uvrwcAhIWFhaJKIREZGYk77rhDed2rVy888sgjWLJkCRobGwG03Fa+1xdTW7XUDoD3vPG1Q1tiOqKBAwfiiiuuUF7fcMMNuP3227Fo0SKlrCNfc2VlZbjxxhuRlZWFWbNmKeUmkwkAWjzuc8+Zn4rRso8//hiTJ0/GG2+84feUdVhYGMaNG6ckKampqcjLy8OyZcvQ0NAAoOVzxu12w+12a7pt4uLiUFhYiB07dqC4uBjz5s3D448/rmxvy7XSUa+nMWPGYOPGjThy5Agee+wx/O53v0NxcbGyfezYsYiIiADg/fn14osv4ujRo8rsOx3xeho7dizuuOMOHD16FIWFhdi/fz8AYOPGjTh+/DiA9n/OMJFVQUpKCk6cOOFX5nvdo0ePUFSp3UhISEB9fb3yGxrbyislJQVnz5716+1wOp04c+aM0g5tiblYJCQk+J03rZ1HBoMBXbt2DXb1Aqa8vBzDhg1DQkICli9fjvDwcGVbSkoKALR43OeeMz8Vo1XLly/HmDFjMGvWLEycOPEn4xMSEuB2u3H69GkA3rY5efKk361y32utt41Peno6/vCHP+DTTz9Vylq7VhITE5VErS0xWnfvvfciJiYGq1evbjXGN+WYry064vWUnJyMrVu3Ii8vD3l5efjggw8AAI899hg2bNgAoG0/p0P5s5yJrAqGDx+Or7/+WvnCBID8/Hz07t1buRAuBna7vVnZ6tWrkZiYqNxyGD58OE6cOIFvvvlGicnPz0dMTEyrc612RMOGDYNer8fKlSuVsk8++QRutxvXXXddm2M6oh+fRx6PB+vXr0dWVpZSNnz4cKxZs8avRyA/Px+//vWvNTvHoy+J7dy5M1auXKn0FPkkJiYiKysLy5cvV8rOnDmDjRs3Yvjw4W2O0aKVK1fij3/8I1588UW/4QI+rX33xMXFISkpCYD3nCkvL/eb6zo/Px8RERHIyclRr/Iqaum4Dx486HfLd/jw4Vi1apVyVwzw/lJw7vnQlhgtqa+v9zsWADh9+jSqq6uVtmkpxpfk+r5rBgwYgE6dOvldT3v27MGBAwc02zbr1q1DYWGh8sfXe//ll1/izjvvBOA9H4qLi3H06FHlffn5+ejWrRsuueSSNseoRtVHyS5SLpdLBg0aJFdeeaUsW7ZMnnnmGTEYDH5POl4M/vnPf8qYMWNk4cKFsmrVKpk0aZIYjUZ59913/eJuueUW6dOnj3zwwQfy+uuv+03h0VHs2rVLCgoKZMqUKWK1WqWgoEAKCgrEbrcrMVOnTpVOnTrJ/Pnz5d1335WEhASZPHmy3+e0JUZLXC6X0ha9evWSMWPGSEFBgWzfvl2Jyc3NlWnTpsnHH38sS5culRtuuEGsVqsUFxcrMZWVldKzZ0+56aabJD8/Xx5++GExmUxSWFgYisP6xex2uwwYMECSk5Pl888/V9qooKDA7yn7FStWiMFgkKeeeko++ugjycnJkX79+onT6bygGC354osvxGw2y1133eXXLps2bVJiXn/9dRk1apS899578sknn8iDDz4oRqNR3nzzTb/PGjVqlKSlpcn7778vs2fPlqioKHn22WeDfUgBM2zYMHnqqadk5cqV8vHHH8vdd98tYWFhfvMPf//99xIfHy+5ubmyfPlyGT9+vERHR8vevXsvKEZLduzYIVdeeaXMmTNH1qxZI/Pnz5d+/frJpZdeKrW1tSLi/Y6+4oorZPbs2fL555/LzJkzxWazSW5urt9nzZkzR8xms7z88suyZMkSyczMlGHDhoXisFTR0qwFHo9HcnJyZODAgfLhhx/KjBkzxGg0yjvvvHNBMWrRiWj4EcR2rLKyEs8//zy2bt0Km82Ge++9FzfeeGOoqxV0+fn5WLp0KcrLy5Geno6JEyeif//+fjEOhwMvvfQS1q9fD4vFgjFjxiA3NzdENVbH9OnTW1xpaMGCBcqDGI2NjZg7dy6WL18OEcHNN9+MSZMm+a3m1JYYLamqqsLNN9/crDwjIwPz5s0D4F31bd68eVi7di08Hg+ysrIwZcqUZisNlZSU4LnnnsO3336LxMREPPDAA7jqqquCchyBduLECYwePbrFbX//+9/xm9/8Rnm9bt06zJkzB2fOnMFll12GvLy8Zqs5tSVGK95880288847zcojIiL8bhOvWrUKixcvxqlTp5CWloYJEyZg4MCBfu9paGjArFmzsHbtWpjNZowaNQp33XWX6segltraWrzxxhvYuHEjRAQZGRm4//77m60sefDgQbzwwgv47rvvkJKSgmnTpvnNhtLWGC3ZvXs3Zs+ejb179yI+Ph5XX301xo8fD4vF4hfzr3/9C/v370dSUhJGjBiBkSNHNvusZcuWYcGCBaitrcXQoUMxbdo0REZGBvNwVLN69Wr87W9/w4YNG/x+rtTU1GDGjBnYvHkzYmJicPfdd+PWW2/1e29bYtTARJaIiIiINIljZImIiIhIk5jIEhEREZEmMZElIiIiIk1iIktEREREmsREloiIiIg0iYksEREREWkSE1kiIiIi0iQmskRE7VRDQwMWLVqEysrKUFeFiKhdYiJLRNQOOBwOLFq0CFVVVUpZdXU1cnNzceTIkdBVjIioHWMiS0TUDlRWViI3NxfHjh1TysxmM0aPHg2bzRbCmhERtV/GUFeAiOhiJyLIz88HAHz22Wf49ttv0blzZwwdOhS33XYbrFYrAMBut2PFihUYMWIESktLsWfPHvTo0QPZ2dkAgOLiYhw+fBiZmZno1atXs/1UV1dj8+bNAIABAwYgISEhSEdIRKQOJrJERCEmIvj0008BAOvWrYPVakVGRgays7ORm5uLoqIiDBgwAGVlZcjNzcU111yDiooKdO/eHWvXrsWDDz6IkpIS7N69G0lJSVi/fj3mzp2LP/3pT8o+PvzwQ0yYMAH9+vVDREQENm/ejGeeeQZ//vOfQ3XYRES/mE5EJNSVICK62JWWliIpKQk7d+5EVlYWAKC8vBydO3dWEtkjR44gNTUV9957L+bOnQudTofZs2dj0qRJeOCBB/Dqq68CAGbOnIlXXnkF33//PQDg8OHD6NevH1atWoVrrrkGALBt2zYMHToURUVFyMjICM1BExH9QhwjS0SkMRMnToROpwMAXHXVVUqZz1VXXYVjx46hvr4eAPD+++8jPj4eZWVlWLJkCRYvXoxDhw4hLi4OBQUFwT8AIqIA4dACIiKNOffhL7PZ3GqZ0+mExWLBkSNH0NDQgKVLl/p9ztChQ9GpU6cg1JiISB1MZImIOriYmBjYbDYsWrQo1FUhIgooDi0gImoHoqKiAHjnkw20m266CXv27MGGDRv8ymtqalBTUxPw/RERBQt7ZImI2oGoqCj07dsXzz//PH7/+98jISFBmVbrl7r++usxceJEjBgxAg8++CDS09Oxb98+fPTRR1i9ejWio6MDsh8iomBjjywRUTuxcuVKpKWl4ZNPPkFBQUGzBREiIyMxevRov8QzJiYGo0ePRkREhFIWFxeH0aNHIywsTCmbM2cOli5ditraWmzatAkJCQnYvHkzUlNTg3eAREQBxum3iIiIiEiT2CNLRERERJrERJaIiIiINImJLBERERFpEhNZIiIiItIkJrJEREREpElMZImIiIhIk5jIEhEREZEmMZElIiIiIk1iIktEREREmsREloiIiIg0iYksEREREWkSE1kiIiIi0qT/D5uTaZAJcSb3AAAAAElFTkSuQmCC", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "n = 400\n", "t = np.arange(n)\n", "period = 24\n", "x_seas = 0.02 * t + 2.0 * np.sin(2 * np.pi * t / period) + rng.standard_normal(n)\n", "\n", "fig, ax = plt.subplots(figsize=(8, 3))\n", "ax.plot(t, x_seas, color=\"tab:olive\", lw=0.9)\n", "ax.set_title(\"Trend + seasonal: deterministic non-stationary mean\")\n", "ax.set_xlabel(\"time\")\n", "ax.set_ylabel(\"value\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "613d148a", "metadata": {}, "source": [ "### Random walk: unit root\n", "\n", "This is the textbook non-stationary process. Its variance grows without bound,\n", "so any method that assumes a fixed level will misrepresent it.\n" ] }, { "cell_type": "code", "execution_count": 12, "id": "cf064287", "metadata": { "execution": { "iopub.execute_input": "2026-06-22T16:14:20.318541Z", "iopub.status.busy": "2026-06-22T16:14:20.318379Z", "iopub.status.idle": "2026-06-22T16:14:20.404346Z", "shell.execute_reply": "2026-06-22T16:14:20.402124Z" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "x_rw = np.cumsum(rng.standard_normal(400))\n", "\n", "fig, ax = plt.subplots(figsize=(8, 3))\n", "ax.plot(x_rw, color=\"tab:brown\", lw=0.9)\n", "ax.set_title(\"Random walk: unit root (non-stationary)\")\n", "ax.set_xlabel(\"time\")\n", "ax.set_ylabel(\"value\")\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "176bf91b", "metadata": {}, "source": [ "### GARCH(1,1): volatility clustering, no financial data\n", "\n", "This is how the suite demonstrates volatility clustering without any market data.\n", "We simulate the conditional variance recursion\n", "`sigma2_t = omega + alpha * e_{t-1}^2 + beta * sigma2_{t-1}` and draw\n", "`e_t = sigma_t * z_t`. Plotting the squared series makes the clustering obvious:\n", "large moves bunch together in time.\n" ] }, { "cell_type": "code", "execution_count": 13, "id": "99e8f545", "metadata": { "execution": { "iopub.execute_input": "2026-06-22T16:14:20.408072Z", "iopub.status.busy": "2026-06-22T16:14:20.407807Z", "iopub.status.idle": "2026-06-22T16:14:20.581378Z", "shell.execute_reply": "2026-06-22T16:14:20.580315Z" } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def garch11(n, omega, alpha, beta, rng):\n", " e = np.zeros(n)\n", " sigma2 = np.empty(n)\n", " sigma2[0] = omega / (1 - alpha - beta) # unconditional variance\n", " z = rng.standard_normal(n)\n", " for t in range(1, n):\n", " sigma2[t] = omega + alpha * e[t - 1] ** 2 + beta * sigma2[t - 1]\n", " e[t] = np.sqrt(sigma2[t]) * z[t]\n", " return e\n", "\n", "\n", "x_garch = garch11(500, omega=0.05, alpha=0.1, beta=0.85, rng=rng)\n", "\n", "fig, (g1, g2) = plt.subplots(1, 2, figsize=(9, 3))\n", "g1.plot(x_garch, color=\"tab:blue\", lw=1.1)\n", "g1.set_title(\"GARCH(1,1) series\")\n", "g1.set_xlabel(\"time\")\n", "g1.set_ylabel(\"value\")\n", "g2.plot(x_garch**2, color=\"tab:red\", lw=1.1)\n", "g2.set_title(\"Squared series: volatility clusters\")\n", "g2.set_xlabel(\"time\")\n", "g2.set_ylabel(\"squared value\")\n", "fig.tight_layout()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "a363cebc", "metadata": {}, "source": [ "### Bivariate VAR(1): cross-correlated 2D\n", "\n", "Two series whose dynamics are coupled through a coefficient matrix. The off\n", "diagonal terms make each series depend on the other's past, which is exactly the\n", "structure a VAR-based bootstrap is built to preserve.\n" ] }, { "cell_type": "code", "execution_count": 14, "id": "f613f9e5", "metadata": { "execution": { "iopub.execute_input": "2026-06-22T16:14:20.584074Z", "iopub.status.busy": "2026-06-22T16:14:20.583881Z", "iopub.status.idle": "2026-06-22T16:14:20.742235Z", "shell.execute_reply": "2026-06-22T16:14:20.740954Z" } }, "outputs": [ { "data": { "image/png": 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "def var1(n, A, rng):\n", " d = A.shape[0]\n", " X = np.zeros((n, d))\n", " E = rng.standard_normal((n, d))\n", " for t in range(1, n):\n", " X[t] = A @ X[t - 1] + E[t]\n", " return X\n", "\n", "\n", "A = np.array([[0.5, 0.2], [0.1, 0.4]])\n", "X_var = var1(400, A, rng)\n", "\n", "fig, ax = plt.subplots(figsize=(8, 3))\n", "ax.plot(X_var[:, 0], color=\"tab:blue\", lw=0.9, label=\"series 1\")\n", "ax.plot(X_var[:, 1], color=\"tab:orange\", lw=0.9, label=\"series 2\")\n", "corr = np.corrcoef(X_var[:, 0], X_var[:, 1])[0, 1]\n", "ax.set_title(f\"Bivariate VAR(1): cross-correlated (corr = {corr:.2f})\")\n", "ax.set_xlabel(\"time\")\n", "ax.set_ylabel(\"value\")\n", "ax.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "f81f1986", "metadata": {}, "source": [ "## A diagnose() preview\n", "\n", "`diagnose` measures serial dependence and stationarity, then maps what it sees to\n", "method specifications. It returns a `Diagnosis` dataclass; the two fields we read\n", "here are `recommended_methods` and `notes`. We run it across a representative mix\n", "of the series above.\n", "\n", "`diagnose` reports what it measures and maps it to candidate methods. The\n", "decision-guide notebook works through when each recommended method is the right choice.\n" ] }, { "cell_type": "code", "execution_count": 15, "id": "8f4abdaf", "metadata": { "execution": { "iopub.execute_input": "2026-06-22T16:14:20.745646Z", "iopub.status.busy": "2026-06-22T16:14:20.745363Z", "iopub.status.idle": "2026-06-22T16:14:20.837196Z", "shell.execute_reply": "2026-06-22T16:14:20.835921Z" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "AR(1) stationary:\n", " recommended_methods: ('StationaryBlock', 'MovingBlock', 'SieveAR')\n", " note: Serial dependence present (lag-1 autocorrelation 0.49): use a block method or the sieve.\n", " note: Suggested automatic block length (Politis-White): 9.\n", "\n", "random walk:\n", " recommended_methods: ('ResidualBootstrap(model=ARIMA(...))', 'SieveAR')\n", " note: Series looks non-stationary (unit root): difference it via ARIMA, or use the sieve.\n", "\n", "airline (trend+seasonal):\n", " recommended_methods: ('ResidualBootstrap(model=ARIMA(...))', 'SieveAR')\n", " note: Series looks non-stationary (unit root): difference it via ARIMA, or use the sieve.\n", "\n", "GARCH(1,1):\n", " recommended_methods: ('IID', 'MovingBlock')\n", " note: Serial dependence is weak: i.i.d. resampling is acceptable; a block method is a safe default.\n", "\n", "VAR(1) bivariate:\n", " recommended_methods: ('ResidualBootstrap(model=VAR(...))', 'StationaryBlock', 'MovingBlock', 'SieveAR')\n", " note: Serial dependence present (lag-1 autocorrelation 0.48): use a block method or the sieve.\n", " note: Multivariate input: VAR captures cross-series dependence; block methods preserve it by resampling whole rows.\n", " note: Suggested automatic block length (Politis-White): 7.\n", "\n" ] } ], "source": [ "from tsbootstrap import diagnose\n", "\n", "probes = {\n", " \"AR(1) stationary\": x_ar1,\n", " \"random walk\": x_rw,\n", " \"airline (trend+seasonal)\": y,\n", " \"GARCH(1,1)\": x_garch,\n", " \"VAR(1) bivariate\": X_var,\n", "}\n", "\n", "for name, series in probes.items():\n", " d = diagnose(series)\n", " print(f\"{name}:\")\n", " print(f\" recommended_methods: {d.recommended_methods}\")\n", " for note in d.notes:\n", " print(f\" note: {note}\")\n", " print()" ] } ], "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": "3.12.13" } }, "nbformat": 4, "nbformat_minor": 5 }