{ "cells": [ { "cell_type": "markdown", "id": "42feb0bb-2431-4ba8-9013-b3c15d026027", "metadata": { "panel-layout": { "height": 127.8551025390625, "visible": true, "width": 100 } }, "source": [ "# Conformal Test Martingales" ] }, { "cell_type": "markdown", "id": "07e752b2-a3c6-4323-8c3c-e0d759398ad9", "metadata": {}, "source": [ "## Importing packages" ] }, { "cell_type": "markdown", "id": "7b919e74-9a79-4808-b9dd-c75214791fba", "metadata": {}, "source": [ "We start by importing some packages needed for this tutorial, in particular the `WrapRegressor` from the main `crepes` module, as well as betting functions and algorithms for generating conformal test martingales from the `crepes.martingales` module." ] }, { "cell_type": "code", "execution_count": 1, "id": "c206bd48-4e51-40f8-b707-56f2d228a990", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "crepes v. 0.9.0\n" ] } ], "source": [ "import numpy as np\n", "import pandas as pd\n", "\n", "np.set_printoptions(legacy='1.25')\n", "\n", "import matplotlib.pyplot as plt\n", "from matplotlib.colors import TABLEAU_COLORS as colors\n", "colors = list(colors.keys())\n", "\n", "from sklearn.ensemble import RandomForestClassifier, RandomForestRegressor\n", "from sklearn.datasets import fetch_openml\n", "\n", "import rdkit # Used in the Lipophilicity example; install with \"%pip install rdkit\"\n", "from rdkit.Chem import AllChem\n", "\n", "from crepes import WrapRegressor, __version__\n", "\n", "from crepes.martingales import (\n", " EpsilonBettingFunction,\n", " StepBettingFunction,\n", " semi_online_p_values,\n", " SimpleJumper, \n", " SleeperStayer, \n", " SleeperDrifter, \n", " CompositeMartingale\n", ")\n", "\n", "print(f\"crepes v. {__version__}\")" ] }, { "cell_type": "markdown", "id": "3dad43e3-1b7f-46c3-bea7-77e8a14f8ba4", "metadata": {}, "source": [ "## Betting functions" ] }, { "cell_type": "markdown", "id": "401ccbb5-641e-4f03-bd34-a70e0b349b83", "metadata": {}, "source": [ "A betting function $f: [0, 1] \\rightarrow [0, \\infty]$ maps p-values to non-negative real numbers such that its integral over the possible p-values equals to one, i.e., $\\int_0^1\\,f(u)\\,du = 1$.\n", "\n", "We will here take a look at two betting functions; the `EpsilonBettingFunction` and the `StepBettingFunction`." ] }, { "cell_type": "markdown", "id": "e4f39b45-e31f-47dd-9e71-cbd41b7872f3", "metadata": {}, "source": [ "#### Epsilon betting function" ] }, { "cell_type": "markdown", "id": "4fd15ec8-1af4-4ed3-ba06-91415b9f3668", "metadata": {}, "source": [ "The epsilon betting function is defined by a parameter $\\epsilon$ which determines the slope of the function; given a p-value $p$, the reward is $f_{\\epsilon}(p) = 1 + \\epsilon (p - 0.5)$. \n", "\n", "We here plot the rewards for five choices of $\\epsilon$." ] }, { "cell_type": "code", "execution_count": 2, "id": "1cd58176-be5d-48b4-88db-98d939b40ba3", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "p_values = np.arange(0,1.01,0.01)\n", "\n", "E = [-1, -0.5, 0, 0.5, 1]\n", "\n", "rewards = EpsilonBettingFunction(E = E).apply(p_values)\n", "\n", "for i, epsilon in enumerate(E):\n", " plt.plot(p_values, rewards[:, i], label=r\"$\\epsilon = $\" + str(epsilon))\n", " \n", "plt.ylim(0,2.5)\n", "plt.xlabel(\"p-value\")\n", "plt.ylabel(r\"$f_{\\epsilon}$\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "1cb2d0f8-1ff4-4025-b51a-d62b0202e5ac", "metadata": {}, "source": [ "#### Step betting function" ] }, { "cell_type": "markdown", "id": "d1628790-afe4-4937-b33a-c62f477bc082", "metadata": {}, "source": [ "The step betting function is determined by the parameters $a$ and $b$; p-values less than or equal to $a$ will be given a reward of $b/a$, while p-values higher than $a$ will be given a reward of $(1-b)/(1-a)$.\n", "\n", "We will here choose values from a grid, where $a$ and $b$ are taken from $\\{1/G, \\ldots, (G-1)/G \\}$ for some value G. \n", "\n", "We set $G = 10$ which hence results in a grid of 81 pairs of values; we visualize the corresponding betting functions for a small subset of these pairs." ] }, { "cell_type": "code", "execution_count": 3, "id": "fca227c8-0262-4a9a-896f-0946e3cc80b3", "metadata": {}, "outputs": [ { "data": { "image/png": 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Nc4QAblghNTu5ATKZQYvu378fYWFhWm319fXw9fVFUlISvLy8kJ6ejueeew5du3bFmDFj9G5v3rx5+OCDD9ClSxcsXLgQsbGxOHXqlOYGm/7+/lAoFEhLS9P6kr5VYmIipkyZonc/n376KeLi4pp87cCBA3Bzc9PqycjOzsaNGzcQHR2tafPx8UHfvn2Rnp6OoUOH6t0fcDP0/ec//8G1a9e0wmBzMjIyIJfLERERoWkbOHAg5HI50tPTERQU1Ow2Ll68iG+++QYbN25s9Fp4eDjS0tIMroeIWg83uTP+Pi/U2mUYxdnVuvGC4aY5N6qApT6W3+/C3wFnd4MWLSwshI+Pdo1OTk5YvHix5nlAQADS09ORlJTUbLh5/fXX8eijjwK4OYTj6+uL5ORkrfW6deumd/JybGysVhBoire3t87XCgsL4e3trTUkVVxcDGdnZ3To0KHRdoqLi/Xu6/jx44iMjMT169fRrl07JCcn45577tG7zq2Ki4uhUCgatSsUimb33WDjxo3w8PDAE0880ei15o4nEbU+Dbe1buMgg6eXq3WLkRiGGztQXV3d5J2iP/nkE3z++ec4c+YMqqurUVNTgwEDBjS7vVt7NDp27IigoCCcOHFCaxlXV1dUVenu0fLw8ICHh4fhb+I2ut5TU4QQkDXTyxUUFIScnBxUVFRg+/btmDBhAvbt22dUwGlqH4bsu8G//vUvxMXFNfm+mjueRERkOIab5ji53exFscZ+DeTl5YXy8nKttqSkJMyePRvLly9HZGQkPDw8sGzZMmRlZZlUzu1f4JcvX0bnzp11Ln+nw1JNvacuXbqgpqYG5eXlWr03JSUliIqK0rsvZ2dnzYTisLAwHDp0CB988AE+/fRTvevduu+LFy82ai8tLdXbA9UgLS0NJ0+exBdffNHk680dTyJqvWQw7A8o+hPDTXNkMoOHh6ylYWLtrdLS0hAVFYVp06Zp2vLz8w3aXmZmJvz8/ADcPP351KlTCA4O1rx+/fp15OfnQ6lU6tzGnQ5LKZVKFBcXawWZ0NBQODk5Yffu3ZohsqKiIuTm5uLdd9816L01EEJArVYbvHxkZCRUKhUOHjyI8PBwAEBWVhZUKlWzwQoA1q1bh9DQUPTv37/J13Nzc/UeTyJqhaw7J1fSeLaUHRg6dCh+/vlnrZ6OXr164fDhw/juu+9w6tQpLFq0CIcOHTJoe2+++SZ++OEH5ObmYuLEifDy8sLIkSM1r2dmZsLFxUXvhFwPDw/06tVL70PfsJVSqUTnzp3x008/adrkcjmefvppvPjii/jhhx9w9OhRPPnkkwgJCcGQIUM0yz3yyCP48MMPNc8XLlyItLQ0FBYW4vjx43jllVewd+9enb1GTenduzcee+wxPPvss8jMzERmZiaeffZZxMTEaE0mDg4ORnJysta6lZWV+M9//oNnnnlG5/bT0tK0JkoTEZHpGG7sQEhICMLCwpCUlKRpmzp1Kp544gmMHTsWERERKCsr0+rFAf68IvHtE1nffvttzJw5E6GhoSgqKsKOHTvg7OyseX3r1q2Ii4uDm5vhQ2fGcnBwwOTJk5GYmKjVvmLFCowcORJjxozBoEGD4Obmhp07d2pd4yY/Px+XLl3SPL948SLi4+MRFBSERx55BFlZWUhNTdVMmgaAN954o9kLICYmJiIkJATR0dGIjo5Gv379sGnTJq1lTp48CZVKpdW2bds2CCHwj3/8o8ntZmRkQKVSYdSoUXr3T0StFEeljCYTQrSqjq/KykrI5XKoVCp4enpqvXb9+nUUFBQgICDA4MmstmLXrl2YO3cucnNztc4w0mfDhg1YsmQJ8vLyNKd5N6e0tBTBwcE4fPgwAgIC7qTkZl28eBF9+vRBdnY2/P39zbqviRMnArh5TCxt9OjRUCqVWLhwoc5lpPzZJCLTFBeosP2dbHh0aounljQ//G3v9H1/345zbuzEsGHDcPr0aVy4cAHdu3c3aJ3U1FQsXbrU4GADAAUFBVizZo3Zgw1wc07OunXrcPbsWbOHm3379mH//v1m3UdT1Go1+vfvj9mzZ1t830RE9oo9N7fgX8dkq/jZJGp9GnpuPL3aIv6f7LkxpueGc26IiIhsUavqemhZDDdERERkVxhuiIiIyK4w3BAREZFdYbghIiIiu8JwQ0REZMsMvDkv/YnhhoiIyAa1rgu1tCyGGztRVlYGhULR6FYKxmi4HUNFRYXOZVJSUqBUKlFfX2/yfozxwAMPYMuWLRbZlzWo1Wr4+fkhOzvb2qUQEdkNhhs7kZCQgBEjRjR7f6Q7FRMTA5lMZpHAkZKSguLiYowbN07TplarMWPGDHh5ecHd3R2xsbE4f/58s9u6cOECnnzySXTq1Alubm4YMGCA0YGivLwc8fHxkMvlkMvliI+P1xsEgZv3rAoODoa7uzs6dOiAIUOGICsrS/O6i4sL5s6di/nz5xtVCxG1HhyUMh7DjR2orq7GunXr9N51uiVNmjQJq1evNvt+Vq1ahUmTJmndK2vWrFlITk7Gtm3bcODAAVy9ehUxMTGoq6vTuZ3y8nIMGjQITk5O+Pbbb5GXl4fly5ejffv2RtUzfvx45OTkIDU1FampqcjJyUF8fLzedQIDA/Hhhx/i+PHjOHDgAHr06IHo6GiUlpZqlomLi0NaWhpOnDhhVD1EZOc4LmU60cqoVCoBQKhUqkavVVdXi7y8PFFdXW2Fyky3fft24eXlpdVWW1srJk+eLHr06CHatm0rAgMDxcqVK/Vu58cffxQAREpKiujXr59wcXER4eHh4tixY1rLFRYWCgAiPz+/xd9Lg9LSUiGTyURubq6mraKiQjg5OYlt27Zp2i5cuCDatGkjUlNTdW5r/vz54v7777+jevLy8gQAkZmZqWnLyMgQAMQvv/xi8HYaPn979uzRah88eLBYtGiRzvWk+tkkItP9frpcfDjlB7Hp1XRrl2IT9H1/3449N80QQqDqRpXFH8KIxL5//36EhYVptdXX18PX1xdJSUnIy8vDa6+9hoULFyIpKanZ7c2bNw/vvfceDh06BIVCgdjYWNy4cUPzur+/PxQKBdLS0nRuIzExEe3atdP7SExM1Ln+gQMH4Obmht69e2vasrOzcePGDURHR2vafHx80LdvX6Snp+vc1o4dOxAWFobRo0dDoVBAqVRi7dq1zR6HW2VkZEAulyMiIkLTNnDgQMjlcr37vlVNTQ0+++wzyOVy9O/fX+u18PBwvceTiFofzbcAx6WMxruCN6O6thoRWyKaX7CFZY3PgpuTm0HLFhYWwsfHR6vNyckJixcv1jwPCAhAeno6kpKSMGbMGL3be/311/Hoo48CADZu3AhfX18kJydrrdetWze9k5djY2O1gkBTvL29db5WWFgIb29vrSGp4uJiODs7o0OHDo22U1xcrHNbv/32Gz7++GPMmTMHCxcuxMGDB/HCCy/AxcUFTz31lN4ab923QqFo1K5QKPTuG7g5d2jcuHGoqqpC165dsXv3bnh5eWkt09zxJCIiwzHc2IHq6uom7xT9ySef4PPPP8eZM2dQXV2NmpoaDBgwoNntRUZGav7dsWNHBAUFNZoP4urqiqqqKp3b8PDwgIeHh+Fv4ja63lNThBCQ6bkORH19PcLCwrB06VIAgFKpxM8//4yPP/7Y4HADoMl9NLdvAHjooYeQk5ODS5cuYe3atRgzZgyysrK0wlJzx5OIWq/mfsdQYww3zXB1dEXW+KzmFzTDfg3l5eWF8vJyrbakpCTMnj0by5cvR2RkJDw8PLBs2TKtM3WMcfsP1+XLl9G5c2edyycmJmLKlCl6t/npp58iLi6uydeaek9dunRBTU0NysvLtXpvSkpKEBUVpXM/Xbt2xT333KPV1rt3b2zfvl1vfbfv++LFi43aS0tL9fZAAYC7uzt69eqFXr16YeDAgbj77ruxbt06LFiwQLNMc8eTiFohzic2GcNNM2QymcHDQ9aiVCqxefNmrba0tDRERUVh2rRpmrb8/HyDtpeZmQk/Pz8AN880OnXqFIKDgzWvX79+Hfn5+VAqlTq3cafDUkqlEsXFxVpBJjQ0FE5OTti9e7dmiKyoqAi5ubl49913dW5r0KBBOHnypFbbqVOn4O/vr7e+W0VGRkKlUuHgwYMIDw8HAGRlZUGlUukNVk0RQkCtVmu15ebm6j2eRERkBPPObbY99ni21LFjx4Sjo6O4fPmypm3lypXC09NTpKamipMnT4pXX31VeHp6iv79++vcTsPZUn369BF79uwRx48fF7GxscLPz0+o1Wqt5dq1ayeuXbtmtvdUW1srFAqF2Llzp1b71KlTha+vr9izZ484cuSIePjhh0X//v1FbW2tZpmHH35YrF69WvP84MGDwtHRUSxZskScPn1aJCYmCjc3N7F582ajanrsscdEv379REZGhsjIyBAhISEiJiZGa5mgoCDx5ZdfCiGEuHr1qliwYIHIyMgQhYWFIjs7Wzz99NPCxcVF6ywwIYTw9/cX//73v3XuW6qfTSIy3YVTN8+W2vxahrVLsQk8W6qVCQkJQVhYmNaZUFOnTsUTTzyBsWPHIiIiAmVlZVq9OMCfVyS+fSLr22+/jZkzZyI0NBRFRUXYsWMHnJ2dNa9v3boVcXFxcHMzX4+Wg4MDJk+e3OiMqhUrVmDkyJEYM2YMBg0aBDc3N+zcuRMODg6aZfLz83Hp0iXN8/vuuw/JycnYunUr+vbti7feegsrV67UGhJ74403mr0AYmJiIkJCQhAdHY3o6Gj069cPmzZt0lrm5MmTUKlUmvfwyy+/4O9//zsCAwMRExOD0tJSpKWloU+fPpp1MjIyoFKpMGrUKKOPExHZM45LmUomROu6SlBlZSXkcjlUKhU8PT21Xrt+/ToKCgoQEBBg8GRWW7Fr1y7MnTsXubm5WmcY6bNhwwYsWbIEeXl5cHJyMmid0tJSBAcH4/DhwwgICLiTkpt18eJF9OnTB9nZ2UYNIZli4sSJAG4eE0sbPXo0lEolFi5cqHMZKX82icg0v58uR/Lyo2jv7Ya4xQOtXY7V6fv+vh3n3NiJYcOG4fTp07hw4QK6d+9u0DqpqalYunSpwcEGAAoKCrBmzRqzBxvg5pycdevW4ezZs2YPN/v27cP+/fvNuo+mqNVq9O/fH7Nnz7b4volIGniylPHYc3ML/nVMtoqfTaLW58Kpcnz1/lF06OKG8W+w58aYnhvOuSEiIiK7IqlwU1tbi1dffRUBAQFwdXVFz5498eabb6K+vt7apREREZGNkNScm3feeQeffPIJNm7ciD59+uDw4cOYNGkS5HI5Zs6cae3yiIiIWk6rmjTSsiQVbjIyMvD4449j+PDhAIAePXpg69atOHz4sJUrIyIiIlshqWGp+++/Hz/88ANOnToFAPjf//6HAwcOYNiwYTrXUavVqKys1HoQERFJBk+XMpqkem7mz58PlUqF4OBgODg4oK6uDkuWLME//vEPneskJCRo3R2biIhICjgqZTpJ9dx88cUX2Lx5M7Zs2YIjR45g48aNeO+997Bx40ad6yxYsAAqlUrzOHfunAUrJiIiIkuTVLiZN28eXn75ZYwbNw4hISGIj4/H7NmzkZCQoHMdFxcXeHp6aj3sUVlZGRQKRaNbKRij4XYMFRUVOpdJSUmBUqm02BlqDzzwALZs2WKRfVmDWq2Gn58fsrOzrV0KEdmaPy5Dx1Ep40kq3FRVVTW6tYCDgwNPBcfN4bcRI0Y0e3+kOxUTEwOZTGaRwJGSkoLi4mKMGzdO06ZWqzFjxgx4eXnB3d0dsbGxOH/+vN7t9OjRAzKZrNFj+vTpRtVTXl6O+Ph4yOVyyOVyxMfH6w2CwM3bOty+34ED/7wYl4uLC+bOnYv58+cbVQsREekmqXAzYsQILFmyBN988w0KCwuRnJyM999/H3/729+sXZpVVVdXY926dXjmmWcssr9JkyZh9erVZt/PqlWrMGnSJK1AO2vWLCQnJ2Pbtm04cOAArl69ipiYGNTV1enczqFDh1BUVKR57N69G8DNezoZY/z48cjJyUFqaipSU1ORk5OD+Pj4Ztd77LHHtPa/a9curdfj4uKQlpaGEydOGFUPERHpYOY7lLeoyspKMXPmTOHn5yfatm0revbsKV555RWhVqsN3oa+W6ZXV1eLvLw8UV1d3ZJlm9327duFl5eXVlttba2YPHmy6NGjh2jbtq0IDAwUK1eu1LudH3/8UQAQKSkpol+/fsLFxUWEh4eLY8eOaS1XWFgoAIj8/PwWfy8NSktLhUwmE7m5uZq2iooK4eTkJLZt26Zpu3DhgmjTpo1ITU01eNszZ84Ud911l6ivrzd4nby8PAFAZGZmatoyMjIEAPHLL7/oXG/ChAni8ccfb3b7gwcPFosWLdL5ulQ/m0RkurMnysSHU34QWxZnNr9wK6Dv+/t2kuq58fDwwMqVK3HmzBlUV1cjPz8f//znP+Hs7Gy2fQohUF9VZfGHMOKWX/v370dYWJhWW319PXx9fZGUlIS8vDy89tprWLhwIZKSkprd3rx58/Dee+/h0KFDUCgUiI2NxY0bNzSv+/v7Q6FQIC0tTec2EhMT0a5dO72PxMREnesfOHAAbm5u6N27t6YtOzsbN27cQHR0tKbNx8cHffv2RXp6erPvCwBqamqwefNmTJ48GTIjBrIzMjIgl8sRERGhaRs4cCDkcnmz+967dy8UCgUCAwPx7LPPoqSkpNEy4eHheo8nEREZTlKngluDqK7GyXtDLb7foCPZkLm5GbRsYWEhfHx8tNqcnJy0ToEPCAhAeno6kpKSMGbMGL3be/311/Hoo48CADZu3AhfX18kJydrrdetWze9k5djY2O1gkBTvL29db5WWFgIb29vrSGp4uJiODs7o0OHDo22U1xcrHdfDb766itUVFRg4sSJBi1/674VCkWjdoVCoXfff/3rXzF69Gj4+/ujoKAAixYtwsMPP4zs7Gy4uLholmvueBJR68UJxcZjuLED1dXVTd4p+pNPPsHnn3+u6emqqanBgAEDmt1eZGSk5t8dO3ZEUFBQo/kgrq6uqKqq0rkNDw8PeHh4GP4mbqPrPTVFCGFwL8y6devw17/+tVEYNERT+2hu32PHjtX8u2/fvggLC4O/vz+++eYbPPHEE5rXmjueRNQK8UI3JmO4aYbM1RVBRyx/mq7M1dXgZb28vFBeXq7VlpSUhNmzZ2P58uWIjIyEh4cHli1bhqysLNPque0L/PLly+jcubPO5RMTEzFlyhS92/z0008RFxfX5GtNvacuXbqgpqYG5eXlWr03JSUliIqKau4t4MyZM9izZw++/PLLZpe9XZcuXXDx4sVG7aWlpXp7oG7XtWtX+Pv74/Tp01rtzR1PIiIyHMNNM2QymcHDQ9aiVCqxefNmrba0tDRERUVh2rRpmrb8/HyDtpeZmQk/Pz8AN09/PnXqFIKDgzWvX79+Hfn5+VAqlTq3cafDUkqlEsXFxVpBJjQ0FE5OTti9e7dmiKyoqAi5ubl49913m31f69evh0Kh0NybzBiRkZFQqVQ4ePAgwsPDAQBZWVlQqVQGBasGZWVlOHfuHLp27arVnpubq/d4ElFrxnEpY0lqQjE1bejQofj555+1ejp69eqFw4cP47vvvsOpU6ewaNEiHDp0yKDtvfnmm/jhhx+Qm5uLiRMnwsvLCyNHjtS8npmZCRcXF63hq9t5eHigV69eeh/6hq2USiU6d+6Mn376SdMml8vx9NNP48UXX8QPP/yAo0eP4sknn0RISAiGDBmiWe6RRx7Bhx9+qLW9+vp6rF+/HhMmTICjo/GZvnfv3njsscfw7LPPIjMzE5mZmXj22WcRExODoKAgzXLBwcFITk4GAFy9ehVz585FRkYGCgsLsXfvXowYMQJeXl6NLl+QlpamNVGaiIjDUqZjuLEDISEhCAsL0zoTaurUqXjiiScwduxYREREoKysTKsXB/jzisS3T2R9++23MXPmTISGhqKoqAg7duzQOiNt69atiIuLg5sZe7QcHBwwefLkRmdUrVixAiNHjsSYMWMwaNAguLm5YefOnXBwcNAsk5+fj0uXLmmtt2fPHpw9exaTJ09ucn9vvPFGsxdATExMREhICKKjoxEdHY1+/fph06ZNWsucPHkSKpVK8x6OHz+Oxx9/HIGBgZgwYQICAwORkZGhFewyMjKgUqkwatSoZo8LERE1TyaMOefYDlRWVkIul0OlUjW6FcP169dRUFCAgIAAgyez2opdu3Zh7ty5yM3NbXQVZ102bNiAJUuWIC8vD05OTgatU1paiuDgYBw+fBgBAQF3UnKzLl68iD59+iA7Oxv+/v5m3VfD2VMbNmww636aMnr0aCiVSixcuFDnMlL+bBKRac7lXcaOVTno5NsO414Nt3Y5Vqfv+/t2nHNjJ4YNG4bTp0/jwoUL6N69u0HrpKamYunSpQYHGwAoKCjAmjVrzB5sgJtzctatW4ezZ8+aPdzs27cP+/fvN+s+mqJWq9G/f3/Mnj3b4vsmItsmOC5lMvbc3IJ/HZOt4meTqPU5m1eGnav+x56bPxjTc8M5N0RERDaMF/EzHsMNERGRLWpV4yoti+GGiIiI7ArDDREREdkVhhsiIiIbxFEp0zHcEBERkV1huCEiIrJFf3Td3H7jYmoew42dKCsrg0KhaHQrBWM03I6hoqJC5zIpKSlQKpWor683eT/GeOCBB7BlyxaL7Msa1Go1/Pz8kJ1t+TvPExHZK4YbO5GQkIARI0Y0e3+kOxUTEwOZTGaRwJGSkoLi4mKMGzdO06ZWqzFjxgx4eXnB3d0dsbGxOH/+vN7tXLlyBbNmzYK/vz9cXV0RFRVl8E1Eb1VeXo74+HjI5XLI5XLEx8frDYIA8OWXX2Lo0KHw8vKCTCZDTk6O1usuLi6YO3cu5s+fb3Q9RETUNIYbO1BdXY1169bhmWeescj+Jk2ahNWrV5t9P6tWrcKkSZO07pU1a9YsJCcnY9u2bThw4ACuXr2KmJgY1NXV6dzOM888g927d2PTpk04fvw4oqOjMWTIEFy4cMGoesaPH4+cnBykpqYiNTUVOTk5iI+P17vOtWvXMGjQILz99ts6l4mLi0NaWhpOnDhhVD1EZN9a2Q0EWpZoZVQqlQAgVCpVo9eqq6tFXl6eqK6utkJlptu+fbvw8vLSaqutrRWTJ08WPXr0EG3bthWBgYFi5cqVerfz448/CgAiJSVF9OvXT7i4uIjw8HBx7NgxreUKCwsFAJGfn9/i76VBaWmpkMlkIjc3V9NWUVEhnJycxLZt2zRtFy5cEG3atBGpqalNbqeqqko4ODiIlJQUrfb+/fuLV155xeB68vLyBACRmZmpacvIyBAAxC+//NLs+gUFBQKAOHr0aJOvDx48WCxatEjn+lL9bBKR6QqOlYoPp/wgvlhy0Nql2AR939+3Y89NM4QQuKGus/hDGJHY9+/fj7CwMK22+vp6+Pr6IikpCXl5eXjttdewcOFCJCUlNbu9efPm4b333sOhQ4egUCgQGxuLGzduaF739/eHQqFAWlqazm0kJiaiXbt2eh+JiYk61z9w4ADc3NzQu3dvTVt2djZu3LiB6OhoTZuPjw/69u2L9PT0JrdTW1uLurq6RvdjcnV1xYEDB5o9Fg0yMjIgl8sRERGhaRs4cCDkcrnOfRsjPDxc7/EkotaL84mNx7uCN6O2ph6fzdxn8f0+98GDcHJxMGjZwsJC+Pj4aLU5OTlh8eLFmucBAQFIT09HUlISxowZo3d7r7/+Oh599FEAwMaNG+Hr64vk5GSt9bp166Z38nJsbKxWEGiKt7e3ztcKCwvh7e2tNSRVXFwMZ2dndOjQodF2iouLm9yOh4cHIiMj8dZbb6F3797w9vbG1q1bkZWVhbvvvltvfbcqLi6GQqFo1K5QKHTu2xjNHU8iIjIcw40dqK6ubvJO0Z988gk+//xznDlzBtXV1aipqcGAAQOa3V5kZKTm3x07dkRQUFCj+SCurq6oqqrSuQ0PDw94eHgY/iZuo+s9NUUIofdUyU2bNmHy5Mno1q0bHBwccO+992L8+PE4cuSIUTU1tY/m9m2o5o4nEREZjuGmGY7ObfDcBw9aZb+G8vLyQnl5uVZbUlISZs+ejeXLlyMyMhIeHh5YtmwZsrKyTKrn9i/wy5cvo3PnzjqXT0xMxJQpU/Ru89NPP0VcXFyTrzX1nrp06YKamhqUl5dr9d6UlJQgKipK537uuusu7Nu3D9euXUNlZSW6du2KsWPHIiAgQG99t+/74sWLjdpLS0v19kAZqrnjSUREhmO4aYZMJjN4eMhalEolNm/erNWWlpaGqKgoTJs2TdOWn59v0PYyMzPh5+cH4Obpz6dOnUJwcLDm9evXryM/Px9KpVLnNu50WEqpVKK4uFgryISGhsLJyQm7d+/WDJEVFRUhNzcX7777brPvy93dHe7u7igvL8d3331n0DoNIiMjoVKpcPDgQYSHhwMAsrKyoFKp9AYrQ+Xm5uo9nkTUCvFkKZMx3NiBoUOHYsGCBVpBoFevXvj3v/+N7777DgEBAdi0aRMOHTpkUG/Fm2++iU6dOsHb2xuvvPIKvLy8MHLkSM3rmZmZcHFx0Rq+ut2dDksplUp07twZP/30E2JiYgAAcrkcTz/9NF588UV06tQJHTt2xNy5cxESEoIhQ4Zo1n3kkUfwt7/9Dc8//zwA4LvvvoMQAkFBQfj1118xb948BAUFYdKkSQbX07t3bzz22GN49tln8emnnwIAnnvuOcTExCAoKEizXHBwMBISEvC3v/0NwM0embNnz+L3338HAJw8eRLAzZ6gLl26aNZLS0vDW2+9ZcqhIiKi2/BsKTsQEhKCsLAwrTOhpk6diieeeAJjx45FREQEysrKtHpxgD+vSHz7RNa3334bM2fORGhoKIqKirBjxw44OztrXt+6dSvi4uLg5uZmtvfk4OCAyZMnNzqjasWKFRg5ciTGjBmDQYMGwc3NDTt37oSDw5+9a/n5+bh06ZLmuUqlwvTp0xEcHIynnnoK999/P77//ns4OTlplnnjjTeavQBiYmIiQkJCEB0djejoaPTr1w+bNm3SWubkyZNQqVSa5zt27IBSqcTw4cMBAOPGjYNSqcQnn3yiWSYjIwMqlQqjRo0y/AARUevB06WMJhPGnHNsByorKyGXy6FSqeDp6an12vXr11FQUICAgACDJ7Pail27dmHu3LnIzc3VOsNInw0bNmDJkiXIy8vT+qLXp7S0FMHBwTh8+LBRc1ZMcfHiRfTp0wfZ2dnw9/c3674mTpwI4OYxsbTRo0dDqVRi4cKFOpeR8meTiExTcOwSdq05BkUPT4x+Oaz5Feycvu/v23FYyk4MGzYMp0+fxoULF9C9e3eD1klNTcXSpUsNDjYAUFBQgDVr1pg92AA35+SsW7cOZ8+eNXu42bdvH/bv32/WfTRFrVajf//+mD17tsX3TURkr9hzcwv+dUy2ip9NotanoefGO8ATo+az58aYnhvOuSEiIrJFravvoUUx3BAREZFdYbhpQisbqSMJ4GeSqPXhj73pGG5u0TCxlpfBJ1vT8Jk0ZvI3EVFrxbOlbuHg4ID27dujpKQEAODm5tYi9w0iMpUQAlVVVSgpKUH79u21rudDRERNY7i5TcNVYxsCDpEtaN++vdYVjYmo9eDf2MZjuLmNTCZD165doVAocOPGDWuXQwQnJyf22BARGYHhRgcHBwd+oRARkQ1g142xOKGYiIjIFvFsKZMx3BAREZFdYbghIiKyYZxQbDyGGyIiIhskOC5lMoYbIiIisisMN0RERLaMw1JGY7ghIiKyRRyVMhnDDREREdkVhhsiIiKyKww3RERENkhwWMpkDDdERERkVxhuiIiIbJiMV/EzGsMNERER2RWGGyIiIrIrDDdEREQ2SHBGsckYboiIiMiuMNwQERHZMM4nNh7DDREREdkVhhsiIiKyKww3REREtozDUkZjuCEiIrJFPFnKZAw3REREZFcYboiIiGwax6WMxXBDRERkgwTHpUzGcENERER2RXLh5sKFC3jyySfRqVMnuLm5YcCAAcjOzrZ2WURERGbBi/gZz9HaBRijvLwcgwYNwkMPPYRvv/0WCoUC+fn5aN++vbVLIyIialkclTKZpMLNO++8g+7du2P9+vWath49elivICIiIrI5khqW2rFjB8LCwjB69GgoFAoolUqsXbtW7zpqtRqVlZVaDyIiIrJfkgo3v/32Gz7++GPcfffd+O677zB16lS88MIL+Pe//61znYSEBMjlcs2je/fuFqyYiIjINILDUiaTCSGdw+fs7IywsDCkp6dr2l544QUcOnQIGRkZTa6jVquhVqs1zysrK9G9e3eoVCp4enqavWYiIiJTnMwqxp71efAN7oDHZymtXY7VVVZWQi6XG/T9Lamem65du+Kee+7RauvduzfOnj2rcx0XFxd4enpqPYiIiKSCZ0sZT1LhZtCgQTh58qRW26lTp+Dv72+lioiIiMjWSCrczJ49G5mZmVi6dCl+/fVXbNmyBZ999hmmT59u7dKIiIjIRkgq3Nx3331ITk7G1q1b0bdvX7z11ltYuXIl4uLirF0aERFRy2qYEstxKaNJ6jo3ABATE4OYmBhrl0FEREQ2SlI9N0RERK0N+22Mx3BDRERkgyRznRYbxHBDREREdoXhhoiIyJZxXMpoDDdERES2iONSJmO4ISIiIrvCcENERGTTOC5lLIYbIiIiGySd21rbHoYbIiIisisMN0RERDaMd18wHsMNERGRTeK4lKkYboiIiMiuMNwQERHZMg5LGY3hhoiIyAbxbCnTMdwQERGRXWG4ISIismEclTIeww0RERHZFYYbIiIiW8YL3RiN4YaIiMgWcUKxyRhuiIiIyK4w3BAREZFdcWypDf36669Yvnw5ysrK0K9fP0ybNg0dO3Zsqc0TERG1KoIXujFZi/Xc/O1vf8OAAQMwe/ZsdOzYEX/961+xd+/elto8ERERkUFarOfGxcUFU6ZMAQBERkZi1KhRiI6ORk5OTkvtgoiIqNXhyVLGu+Oem5kzZ2LDhg14+OGHsWbNGk17x44dIeP/ESIiIrKwOw430dHRKCoqwrlz5/DRRx8hMDAQI0eOhFKpxOOPP94SNRIREREZ7I6HpYYPH47hw4drntfU1ODnn3/GsWPHkJube6ebJyIiIjJKi825aeDs7AylUgmlUtnSmyYiImo1eLKU6XidGyIiIrIrZgs3RUVFUKvV5to8ERFRq8CTc4xntnATHx+P4OBgzJ0711y7ICIiImqkxefcNNizZw8A4JdffjHXLoiIiIgaabFwU1tbi7S0NLRt2xb33HMP5HI5ACA4OLildkFERNT6cFTKaC0WbkaNGoVOnTrhq6++gqenJ+rr6xESEoKUlJSW2gUREVHrwdOlTNZi4aagoABfffUVsrOzkZOTgw8++ADl5eUttXkiIiIigxg1oXj+/Pm4fv16k6+5uroCuHmdm5qaGsycORP79u278wqJiIhaoYaOG45KGc+ocLNixQqoVCoAwIQJE3Dt2jXNa88//zwuX76MJ554AtOnT8f69etRWFjYosUSERERNceocNOtWzccPXoUALB582atcPPkk0+iY8eOePnllzFo0CDk5eXh66+/btlqiYiIWht23RjNqDk3c+fORWxsLMLCwgAAiYmJGDRoEEJCQjTDUgAwceLEFi2SiIiIyFBG9dxMnz4dR48eRUxMDIQQ+OijjxAVFQVPT0/07t0b48aNw9tvv43U1FRz1UtERESkl9FnS/Xp0wd9+vTBv/71L2RmZsLd3R3Hjh1DTk4OcnJy8PXXX2PJkiW4cuWKOeolIiJqZTguZSyTTwX/9ddfNf+OiIhARESE5rnguflERER3hF+lpjPLvaV4ky8iIiKyFrPdOJOIiIjuHPsLjMdwQ0REZJM4LmUqhhsiIiKyKww3REREtozDUkZjuCEiIrJBPFvKdAw3REREZFcYboiIiGwYR6WMx3BDRERkizgsZTKGGyIiIrIrDDdERES2jFfxMxrDDREREdkVhhsiIiKyKww3RERENkjwQjcmY7ghIiIiu8JwQ0REZMM4n9h4DDdERERkVxhuiIiIyK4w3BAREdkyDksZjeGGiIjIBvFkKdMx3BAREZFdkXS4SUhIgEwmw6xZs6xdChERkVnIOC5lNMmGm0OHDuGzzz5Dv379rF0KERFRy+OwlMkkGW6uXr2KuLg4rF27Fh06dLB2OURERGRDJBlupk+fjuHDh2PIkCHNLqtWq1FZWan1ICIikgyOShnN0doFGGvbtm04cuQIDh06ZNDyCQkJWLx4sZmrIiIialmC41Imk1TPzblz5zBz5kxs3rwZbdu2NWidBQsWQKVSaR7nzp0zc5VERERkTZLqucnOzkZJSQlCQ0M1bXV1ddi/fz8+/PBDqNVqODg4aK3j4uICFxcXS5dKRETUIjgqZTxJhZtHHnkEx48f12qbNGkSgoODMX/+/EbBhoiISLI4KmUySYUbDw8P9O3bV6vN3d0dnTp1atRORERErZOk5twQERG1OhyXMpqkem6asnfvXmuXQERERDaEPTdERES2TMauG2Mx3BAREdkgwduCm4zhhoiIiOwKww0REZEN46CU8RhuiIiIyK4w3BAREZFdYbghIiKyZRyXMhrDDRERkQ3iyVKmY7ghIiIiu8JwQ0REZMM4KmU8hhsiIiJbxGEpkzHcEBERkV1huCEiIrJlvLeU0RhuiIiIbBLHpUzFcENERER2heGGiIjIBmmuc8NRKaMx3BAREZFdYbghIiIiu8JwQ0REZMM4KmU8hhsiIiKyKww3REREtozXuTEaww0REZEN4l3BTcdwQ0RERHaF4YaIiMiGcVDKeAw3REREtojjUiZjuCEiIiK7wnBDRERkyzguZTSGGyIiIhvEQSnTMdwQERGRXWG4ISIismEclTIeww0REZEt4riUyRhuiIiIyK4w3BAREdky3lvKaAw3REREZFcYboiIiMiuMNwQERHZINFw+wWOShmN4YaIiIjsCsMNERGRDWPHjfEYboiIiGwRr3NjMoYbIiIisisMN0RERLaM41JGY7ghIiKyQRyVMh3DDREREdkVhhsiIiIbJuO4lNEYboiIiGwRx6VMxnBDREREdoXhhoiIyJZxVMpoDDdEREQ2ieNSpmK4ISIiIrvCcENERGTLOCxlNIYbIiIiGyQ4KmUyhhsiIiKyKww3REREtuiPnhuOShnP0doF2I38H4HT31u7CrJZMqD3CMA/0tqFEBHZPYablvL7USBzjbWrIFv2627g+UPWroKIyO4x3LSU7uHA/XOsXQXZomslwNHNgPqqtSshIgnRzCeWcWDKWAw3LaXH/TcfRLcrPn4z3Ih6a1dCRNQqcEIxkbnJ/vgxY7ghIhOw38Z4DDdEZtfwq4kXrSAiI/BCNyZjuCEyN/bcEBFZFMMNkbk1TAZkuCEiU3BcymgMN0Tmpum5YRczERmOvzFMx3BDZG4MN0REFiWpcJOQkID77rsPHh4eUCgUGDlyJE6ePGntsogMw2EpIjIBL3NjPEmFm3379mH69OnIzMzE7t27UVtbi+joaFy7ds3apRHp1tBzw05mIjIGf2WYTFIX8UtNTdV6vn79eigUCmRnZ+OBBx6wUlU3/V5RjfPl1VatobVwaAOEdGsPZ0eJZHOeLUVEZFGSCje3U6lUAICOHTvqXEatVkOtVmueV1ZWmqWWr3Iu4N1UDpFZyvB+XfHR+HutXYZhNGdL8c8wIjIFx6WMJdlwI4TAnDlzcP/996Nv3746l0tISMDixYvNXk97V2f07Oxu9v20dlXqOhRXXkfhJQkNRbLnhohMwb+HTCbZcPP888/j2LFjOHDggN7lFixYgDlz/ryhZWVlJbp3797i9YyP8MP4CL8W3y5p23+qFE/96yDqJfVDz+vcEBFZkiTDzYwZM7Bjxw7s378fvr6+epd1cXGBi4uLhSojc2vzxxBPvZTSDScUE9Gd4KiU0SQVboQQmDFjBpKTk7F3714EBARYuySysDZ/5IR6Kc1f4bAUEZlA8A8ik0kq3EyfPh1btmzB119/DQ8PDxQXFwMA5HI5XF1drVwdWUJDz02dpMINh6WIiCxJIufS3vTxxx9DpVJh8ODB6Nq1q+bxxRdfWLs0shCHNjeDgpSyzZ/DUpBY4URkVX/8uuColPEk1XMj+MXQ6v2RbVAnyTk3uBlueLlRIiKzklTPDZFmQrFUgy6HpojIWPx7yGiS6rkhkvbZUgDPmKLb5ZTkYNqeabhy44q1SyEbM6jgCYTgQXx27DM8W7HL2uUY5ZmQZzDz3plW2z97bkhSGubcSCnbaA1DseeGbnOw+CCDDVELY88NSUpDTpDW2VK3zrlhuCFt9X98JmLvisWLYS9auRqyJdnbz+NU8SU81ecpvDdsvrXLMUpbh7ZW3T/DDUnKn2dLSTXcSKhusoiGcOPq6IqObXXfJ8+WXFq7Fpc3bATqGdbNqbrbcMArElWbtuHSsh+sXY5ROj4VD7f/+z+r7Z/hhiRFc50baY1L/flP9tzQbRrCjUxCs0ZVX32NurIya5dh90Snmzd9FtXXUVdebuVqjFNffd2q+2e4IUn582wpKxdiDE4oJj0awo1DGwcrV2KE2loAgM+776DtPfdYuRj7VfzDZeDoVXQYNxY9759i7XKM4tChg1X3z3BDktJwnRvJni3Fnhu6jRR7bkRdHQDA2c8PLr16Wbka++Vw6CSAq3Do2BEuvXpauxxJ4dlSJCl/ni0lpXDDYSnSTdNzI5NOz42ovxlu4CCdmql1YbghSZHmvaU4oZh0awg3bWQS+nVc90dIbyOhmqVMOp16NoOfTJKUNpK8zg3DDelWJ272gkgp3DQMS8nYc2NW/G1hOun8NBFBqnNuOCxFuok/vsKkFG7AcEM2TkI/TUSAg2TvLdUQcKRWN5lbXb0Ee24arm/DcGMRHJUynnR+mogAyG45FVxaF/L749cTe27oNpLuueGcG/OS0K84W8NPJklKw9lSgMSmrzR8cTHc0G2kPOeGPTdkq6Tz00SEP+fcABI9Y0pKNZNFNPRASinccM6Nhck4MGUsCf00Ef15thQgtXk3HJaipkmy54ZzbixCSr/hbI10fpqI8Od1bgCJ3bOPw1KkgzSvc8M5N2Tb+MkkSXGQSbTnRvPFJaGaySKkdoViUV//5/CqI+/gY1Z/HGeOShmP4YYkRSbZOTcclqKmSe7eUg2TicGeG7Jd/GSSpGidLSWlnMAJxaSD1O4KLm4dD+acG7JRDDckKbfOuZFUz41mQrGUaiZLkFzPTW2t5p/suTEv/rYwHT+ZJCm3ngourTk3HJaipklyzk0DzrkhG8VwQ5Iik8k0OUFa95fihGJqmqbnRiqzRjnnxuKk8tGwJfxkkuQ4yKR4Z3D23FDTJN1zwzk35iWl33E2huGGJKdh3o2k5tzwOjekQz2kdZ0b0TDnpk0b6fQ2UasjjZ8mols09IRLclhKSoGMLEJyVyjm1YmtgCHSWBL5aSL6UxvNsJSUggKHpahpkru3FK9ObDmS+h1nW/jpJMmR5pwbDktR06TWc8M7gpMUSOOniegWDcP8dVJKN5q5CRKqmSxCaj03gncEtzyOShlNGj9NRLdouEqxkFKXLXtuSAep9dw0zLnhsJT5Seg3nM3hp5MkR5pnS/EKxdQ0qfbccFiKbJk0fpqIbtHmj56bekl1gjDcUNMk13OjCTcSqdcO8Ix74/HTSZLTcAsGSZ0txWEp0kHTcyORX8ei7o9hKQfeesHsJPQrztZI46eJ6BYOUjwVnLdfIB0aem6kcldw1PNUcLJ9/HSS5DRcFVWSZ0ux54ZuI7W7gnPOjeVI6DeczWG4IclpOFtKStmGw1Kki9TuLQWeCk4SwEFTkpyGOTfVNXWorqnTv7CNcIEMbQCob9ShXiI1k2XU/TEz/kadkMTn+br6BgBAtGkjiXqlrK7u5l9wtRL5bNzKoY0Mzo7W6z9huCHJaThb6sl1WVauxHDfOV9DUBtg4vosZNRftXY5ZEPceqrg4AJM3pCNuqoKa5fTrAGlp5EA4NSlKgx5LdXa5di1x6qcEAJHLN99CgfT8qxdjlGmDb4LLz0WbLX9M9y0kMpdu1DxZbK1y2gVXi25igsV1dYuwyj1bepxFh0RV/8dhiHd2uWQDXE4WgZZmzrUXU+BqHOzdjnN8qy5BgCo56wGsmEMNy2k5vwFXDtwwNpltApd/3hIzTW0xV343dplkM06Z+0CjNK3/13Ie3Ootcuwa2mJJ/Fr1kW8GB2IkCHdrV2OURytfDYdw00LaTf4QTh5K6xdBtmq//dPoOIcMOgFwLuPtashG/Le4fdQVn0ZU/tPhb+nn7XLMUwbB7gPioKjM79CzMnxj7MsnRzawI3H2ig8Wi2kbWAg2gYGWrsMslXFy4GiauCh+4C7H7V2NWRDDtV+jAtXKzD1sQch79zP2uUQ2QUOmhJZBG+/QE1rOBVcMrdfIMuTxiWQbAp/mogsgde5IR0kd28pshj+KWQ6/jQRWQLDDekgtbuCE0kBf5qILEFzW1/+LUba2HNDzZHKrTlsCScUt5Dk08nY+stWa5dBtsqxDPDpAhxfBZzeaO1qyIao1CoA0rkrOFkQ/xYyGcNNCym7XoYTl09YuwyyVTIALs5A1e83H0S3cGrjBC9XL2uXQWQ3GG5ayFD/oQjqEGTtMshWfb8IKD0BhE4Eug6wdjVkY3q064b2Vy4CVy5auxSyJddv9uqhqgQoldZV2eHaEWjX2Wq7Z7hpId09u6O7p7SuIEkWJHMHqq8DBz6xdiVEJBGiYiaAwcBPHwA5O6xdjnHunwMMed1qu2e4IbKEfqOBSyeB+lprV0JEUnHF+eZ/ndwA1w7WrcVYTq5W3T3DDZElhE68+SAiMtT6n4Gsi5A9/Aow5FNrVyMpnJ5PRERki3i2lMkYboiIiMiuMNwQERHZIN6KznQMN0RERGRXGG6IiIhsmEzG2y8Yi+GGiIiI7ArDDREREdkVhhsiIiKyK7yIXwspOVOJ4t9U1i6DiIjsRMXFKmuXIFkMNy3k3InLyPzqN2uXQUREdsbBiYMsxpJkuFmzZg2WLVuGoqIi9OnTBytXrsRf/vIXq9bUoYs7eoUprFoDERHZl7buTuh1L79bjCW5cPPFF19g1qxZWLNmDQYNGoRPP/0Uf/3rX5GXlwc/Pz+r1dVzQGf0HGC927sTERHRTTIhpHUNxIiICNx77734+OOPNW29e/fGyJEjkZCQ0Oz6lZWVkMvlUKlU8PT0NGepRERE1EKM+f6WVM9NTU0NsrOz8fLLL2u1R0dHIz09vcl11Go11Gq15rlKdXPSb2VlpfkKJSIiohbV8L1tSJ+MpMLNpUuXUFdXB29vb612b29vFBcXN7lOQkICFi9e3Ki9e/fuZqmRiIiIzOfKlSuQy+V6l5FUuGlw+6WohRA6L0+9YMECzJkzR/O8vr4ely9fRqdOnVr8ktaVlZXo3r07zp07xyEvM+JxtgweZ8vgcbYMHmfLMOdxFkLgypUr8PHxaXZZSYUbLy8vODg4NOqlKSkpadSb08DFxQUuLi5abe3btzdXiQAAT09P/vBYAI+zZfA4WwaPs2XwOFuGuY5zcz02DSR18ryzszNCQ0Oxe/durfbdu3cjKirKSlURERGRLZFUzw0AzJkzB/Hx8QgLC0NkZCQ+++wznD17FlOnTrV2aURERGQDJBduxo4di7KyMrz55psoKipC3759sWvXLvj7+1u7NLi4uOD1119vNAxGLYvH2TJ4nC2Dx9kyeJwtw1aOs+Suc0NERESkj6Tm3BARERE1h+GGiIiI7ArDDREREdkVhhsiIiKyKww3RlizZg0CAgLQtm1bhIaGIi0tTe/y+/btQ2hoKNq2bYuePXvik08+sVCl0mfMsf7yyy/x6KOPonPnzvD09ERkZCS+++47C1YrXcZ+phv89NNPcHR0xIABA8xboJ0w9jir1Wq88sor8Pf3h4uLC+666y7861//slC10mXscU5MTET//v3h5uaGrl27YtKkSSgrK7NQtdK0f/9+jBgxAj4+PpDJZPjqq6+aXccq34WCDLJt2zbh5OQk1q5dK/Ly8sTMmTOFu7u7OHPmTJPL//bbb8LNzU3MnDlT5OXlibVr1wonJyfx3//+18KVS4+xx3rmzJninXfeEQcPHhSnTp0SCxYsEE5OTuLIkSMWrlxajD3ODSoqKkTPnj1FdHS06N+/v2WKlTBTjnNsbKyIiIgQu3fvFgUFBSIrK0v89NNPFqxaeow9zmlpaaJNmzbigw8+EL/99ptIS0sTffr0ESNHjrRw5dKya9cu8corr4jt27cLACI5OVnv8tb6LmS4MVB4eLiYOnWqVltwcLB4+eWXm1z+pZdeEsHBwVptU6ZMEQMHDjRbjfbC2GPdlHvuuUcsXry4pUuzK6Ye57Fjx4pXX31VvP766ww3BjD2OH/77bdCLpeLsrIyS5RnN4w9zsuWLRM9e/bUalu1apXw9fU1W432xpBwY63vQg5LGaCmpgbZ2dmIjo7Wao+OjkZ6enqT62RkZDRafujQoTh8+DBu3LhhtlqlzpRjfbv6+npcuXIFHTt2NEeJdsHU47x+/Xrk5+fj9ddfN3eJdsGU47xjxw6EhYXh3XffRbdu3RAYGIi5c+eiurraEiVLkinHOSoqCufPn8euXbsghMDFixfx3//+F8OHD7dEya2Gtb4LJXeFYmu4dOkS6urqGt2c09vbu9FNPBsUFxc3uXxtbS0uXbqErl27mq1eKTPlWN9u+fLluHbtGsaMGWOOEu2CKcf59OnTePnll5GWlgZHR/7qMIQpx/m3337DgQMH0LZtWyQnJ+PSpUuYNm0aLl++zHk3OphynKOiopCYmIixY8fi+vXrqK2tRWxsLFavXm2JklsNa30XsufGCDKZTOu5EKJRW3PLN9VOjRl7rBts3boVb7zxBr744gsoFApzlWc3DD3OdXV1GD9+PBYvXozAwEBLlWc3jPk819fXQyaTITExEeHh4Rg2bBjef/99bNiwgb03zTDmOOfl5eGFF17Aa6+9huzsbKSmpqKgoID3KTQDa3wX8s8vA3h5ecHBwaHRXwAlJSWNEmmDLl26NLm8o6MjOnXqZLZapc6UY93giy++wNNPP43//Oc/GDJkiDnLlDxjj/OVK1dw+PBhHD16FM8//zyAm1/CQgg4Ojri+++/x8MPP2yR2qXElM9z165d0a1bN8jlck1b7969IYTA+fPncffdd5u1Ziky5TgnJCRg0KBBmDdvHgCgX79+cHd3x1/+8hf885//ZO96C7HWdyF7bgzg7OyM0NBQ7N69W6t99+7diIqKanKdyMjIRst///33CAsLg5OTk9lqlTpTjjVws8dm4sSJ2LJlC8fMDWDscfb09MTx48eRk5OjeUydOhVBQUHIyclBRESEpUqXFFM+z4MGDcLvv/+Oq1evatpOnTqFNm3awNfX16z1SpUpx7mqqgpt2mh/BTo4OAD4s2eB7pzVvgvNOl3ZjjScZrhu3TqRl5cnZs2aJdzd3UVhYaEQQoiXX35ZxMfHa5ZvOP1t9uzZIi8vT6xbt46nghvI2GO9ZcsW4ejoKD766CNRVFSkeVRUVFjrLUiCscf5djxbyjDGHucrV64IX19fMWrUKPHzzz+Lffv2ibvvvls888wz1noLkmDscV6/fr1wdHQUa9asEfn5+eLAgQMiLCxMhIeHW+stSMKVK1fE0aNHxdGjRwUA8f7774ujR49qTrm3le9ChhsjfPTRR8Lf3184OzuLe++9V+zbt0/z2oQJE8SDDz6otfzevXuFUqkUzs7OokePHuLjjz+2cMXSZcyxfvDBBwWARo8JEyZYvnCJMfYzfSuGG8MZe5xPnDghhgwZIlxdXYWvr6+YM2eOqKqqsnDV0mPscV61apW45557hKurq+jatauIi4sT58+ft3DV0vLjjz/q/X1rK9+FMiHY/0ZERET2g3NuiIiIyK4w3BAREZFdYbghIiIiu8JwQ0RERHaF4YaIiIjsCsMNERER2RWGGyIiIrIrDDdEZPfeeOMNDBgwwNplEJGFMNwQERGRXWG4ISIiIrvCcENEFjV48GA8//zzeP7559G+fXt06tQJr776apN3YlapVHB1dUVqaqpW+5dffgl3d3fNnbPnz5+PwMBAuLm5oWfPnli0aBFu3Liht4ZZs2ZptY0cORITJ07UPK+pqcFLL72Ebt26wd3dHREREdi7d6/J75uILIfhhogsbuPGjXB0dERWVhZWrVqFFStW4PPPP2+0nFwux/Dhw5GYmKjVvmXLFjz++ONo164dAMDDwwMbNmxAXl4ePvjgA6xduxYrVqy4oxonTZqEn376Cdu2bcOxY8cwevRoPPbYYzh9+vQdbZeIzM/R2gUQUevTvXt3rFixAjKZDEFBQTh+/DhWrFiBZ599ttGycXFxeOqpp1BVVQU3NzdUVlbim2++wfbt2zXLvPrqq5p/9+jRAy+++CK++OILvPTSSybVl5+fj61bt+L8+fPw8fEBAMydOxepqalYv349li5datJ2icgy2HNDRBY3cOBAyGQyzfPIyEicPn0aS5YsQbt27TSPs2fPYvjw4XB0dMSOHTsAANu3b4eHhweio6M16//3v//F/fffjy5duqBdu3ZYtGgRzp49a3J9R44cgRACgYGBWvXs27cP+fn5pr9xIrII9twQkc2YOnUqxo4dq3nu4+MDR0dHjBo1Clu2bMG4ceOwZcsWjB07Fo6ON399ZWZmYty4cVi8eDGGDh0KuVyObdu2Yfny5Tr306ZNm0ZzfG6do1NfXw8HBwdkZ2fDwcFBa7mGoTAisl0MN0RkcZmZmY2e33333ejUqRM6derUaPm4uDhER0fj559/xo8//oi33npL89pPP/0Ef39/vPLKK5q2M2fO6N1/586dUVRUpHleV1eH3NxcPPTQQwAApVKJuro6lJSU4C9/+YtJ75GIrIfDUkRkcefOncOcOXNw8uRJbN26FatXr8bMmTN1Lv/ggw/C29sbcXFx6NGjBwYOHKh5rVevXjh79iy2bduG/Px8rFq1CsnJyXr3//DDD+Obb77BN998g19++QXTpk1DRUWF5vXAwEDNXJ8vv/wSBQUFOHToEN555x3s2rXrjt8/EZkXww0RWdxTTz2F6upqhIeHY/r06ZgxYwaee+45ncvLZDL84x//wP/+9z/ExcVpvfb4449j9uzZeP755zFgwACkp6dj0aJFevc/efJkTJgwAU899RQefPBBBAQEaHptGqxfvx5PPfUUXnzxRQQFBSE2NhZZWVno3r276W+ciCxCJpq6uAQRkZkMHjwYAwYMwMqVK61dChHZKfbcEBERkV1huCEiIiK7wmEpIiIisivsuSEiIiK7wnBDREREdoXhhoiIiOwKww0RERHZFYYbIiIisisMN0RERGRXGG6IiIjIrjDcEBERkV1huCEiIiK78v8B1rKe82aKRnEAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "p_values = np.arange(0, 1.001, 0.001)\n", "\n", "G = 10\n", "\n", "rewards = StepBettingFunction(G=G).apply(p_values)\n", "\n", "Gs = [j/G for j in range(1,G)]\n", "\n", "pairs = list(enumerate([(a,b) for a in Gs for b in Gs]))\n", "\n", "selection = [12, 24, 47, 58, 72]\n", "\n", "for i, (a, b) in pairs:\n", " if i in selection:\n", " plt.plot(p_values, rewards[:,i], label=\"(a,b) = \"+str((a,b)))\n", "\n", "plt.ylim(0,10)\n", "plt.xlabel(\"p-value\")\n", "plt.ylabel(\"$f_{a,b}$\")\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "7681cdf0-4ca3-45c8-8431-02d7721c3b12", "metadata": {}, "source": [ "#### Step betting function with drift" ] }, { "cell_type": "markdown", "id": "15ac84c0-36fc-4338-bbe9-55911d5ab7e6", "metadata": {}, "source": [ "We may also employ a step betting function where the threshold is drifting; instead of using a fixed threshold $a$, a weighted average $a \\, w + b \\, (1 - w)$ may be used where $w$ decreases with the number of observed p-values; the weight $w_i$ for p-value $p_i$ is given by $w_i = (s+1)/(s+i+1)$ where $s$ (the start index) is a parameter. Below, we show the rewards from the step betting function without and with drift, using three different start indices, given a specific p-value and pair of values for $a$ and $b$, varying only the index of the p-value.\n", "\n", "It can be seen that for low indices the rewards of the drifting functions are close to the original (non-drifting) step betting function, while the rewards are approaching 1 as the number of observed p-values increase (where the pace depends on the start index). " ] }, { "cell_type": "code", "execution_count": 4, "id": "5d915e75-2415-498c-b265-dc7d9147c142", "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" } ], "source": [ "p = 0.05\n", "\n", "n = 500\n", "\n", "a = 0.1\n", "b = 0.8\n", "\n", "Gs = [b]\n", "\n", "p_values = np.full(n, p)\n", "\n", "rewards_s_100 = StepBettingFunction(Gs = Gs, A = a, s=100).apply(p_values)\n", "rewards_s_200 = StepBettingFunction(Gs = Gs, A = a, s=200).apply(p_values)\n", "rewards_s_300 = StepBettingFunction(Gs = Gs, A = a, s=300).apply(p_values)\n", "\n", "rewards_c = StepBettingFunction(Gs = Gs, A = a).apply(p_values)\n", "\n", "\n", "plt.plot(np.arange(n), rewards_c, label=\"no drift\")\n", "\n", "plt.plot(np.arange(n), rewards_s_100, label=\"s = 100\")\n", "plt.plot(np.arange(n), rewards_s_200, label=\"s = 200\")\n", "plt.plot(np.arange(n), rewards_s_300, label=\"s = 300\")\n", "\n", "plt.ylim(0,8.5)\n", "plt.legend()\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "075b9be5-d448-4532-8abb-14e65dae477b", "metadata": {}, "source": [ "Alternatively, we can create a `StepBettingFunction` without specifying any start index, an instead provide this when calling the `apply` method." ] }, { "cell_type": "code", "execution_count": 5, "id": "6623b2ed-a4f2-4f2b-9ad5-193274fcc0f5", "metadata": {}, "outputs": [], "source": [ "bf = StepBettingFunction(Gs = Gs, A = a)\n", "\n", "rewards_s_100 = bf.apply(p_values, s=100)\n", "rewards_s_200 = bf.apply(p_values, s=200)\n", "rewards_s_300 = bf.apply(p_values, s=300)" ] }, { "cell_type": "markdown", "id": "56006965-ad82-4614-a204-9690fe0ac97b", "metadata": {}, "source": [ "## Synthethic data" ] }, { "cell_type": "markdown", "id": "a483ab5c-3c5f-47a1-b274-95ae3e2122d9", "metadata": {}, "source": [ "We will consider a scenario, where a sequence of nonconformity scores (of length $n$) is observed, with a random change point (at time $t$), after which the distribution of non-conformity scores changes abruptly; the scores drawn before and after the change come from two different normal distributions. \n", "\n", "You may rerun the example multiple times with other seeds (or just manually modify the means and standard deviations) to see whether the different algorithms are able to detect a violation of the exchangeability assumption. You may also consider using the same distributions, for which the probability of incorrectly signaling for a change is less than or equal to $1/c$, where $c$ is the employed threshold. " ] }, { "cell_type": "code", "execution_count": 6, "id": "d03b65f3-8b28-464f-8a07-8ba3951c70f8", "metadata": { "panel-layout": { "height": 700.9942626953125, "visible": true, "width": 100 } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "mu_1 = 0 \t std_1 = 1\n", "mu_2 = 0.089 \t std_1 = 0.255\n" ] } ], "source": [ "np.random.seed(list(b\"ALRW\"))\n", "\n", "n = 2000 # Length of sequence\n", "\n", "c = 100 # Threshold to signal drift; P(false alarm) <= 1/c\n", "\n", "mu_1 = 0 # Original mean\n", "\n", "std_1 = 1 # Original standard deviation\n", "\n", "t = np.random.randint(1,n-1) # Random change point\n", "\n", "alphas = np.zeros(n) # Non-conformity scores\n", "\n", "alphas[:t] = np.random.randn(t) * std_1 + mu_1\n", "\n", "mu_2 = mu_1 + 0.1 * np.random.randn() # Changed mean\n", "\n", "std_2 = 1.5 * np.random.rand() # Changed standard deviation\n", "\n", "alphas[t:] = np.random.randn(n-t) * std_2 + mu_2\n", "\n", "plt.plot(alphas)\n", "\n", "ymin, ymax = plt.axis()[2:]\n", "\n", "plt.plot([t, t], [ymin, ymax], linestyle='dashed', c=\"grey\")\n", "\n", "plt.show()\n", "\n", "print(f\"mu_1 = {mu_1} \\t std_1 = {std_1}\")\n", "print(f\"mu_2 = {mu_2:.3f} \\t std_1 = {std_2:.3f}\")" ] }, { "cell_type": "markdown", "id": "8567b6b8-4c11-4bf4-a4ad-68c0043b4885", "metadata": {}, "source": [ "In order to get p-values from the above non-conformity scores, we employ the function `semi_online_p_values`, i.e., the p-value for each non-conformity score is computed with respect to the preceding non-conformity scores only. If the non-conformity scores would be exchangeable, then the p-values would be independent and uniformly distributed over [0, 1]." ] }, { "cell_type": "code", "execution_count": 7, "id": "faa26f82-2505-4af7-8413-7d1b15dba613", "metadata": {}, "outputs": [], "source": [ "p_values = semi_online_p_values(alphas)" ] }, { "cell_type": "markdown", "id": "618df062-ebf9-4f28-8752-f39f0d54719c", "metadata": {}, "source": [ "We will use the following function for plotting the martingales (after they have been applied to the observed sequence of p-values)." ] }, { "cell_type": "code", "execution_count": 8, "id": "5556f9da-d350-40a0-94be-b22582a60539", "metadata": {}, "outputs": [], "source": [ "def plot_martingales(all_martingales, change_point=None):\n", " plt.yscale(\"log\")\n", " plt.ylim(1e-9, 1e9)\n", " ymin, ymax = plt.axis()[2:]\n", " \n", " signals = []\n", " early = []\n", " correct = []\n", " \n", " for i, label in enumerate(all_martingales):\n", " martingales = all_martingales[label]\n", " plt.plot(np.arange(len(martingales)), martingales, label=label, c=colors[i])\n", " too_large = np.argwhere(martingales > c)\n", " if len(too_large) > 0:\n", " drift_index = too_large[0,0]\n", " signals.append((drift_index, label))\n", " if change_point is not None:\n", " if drift_index >= change_point:\n", " correct.append((drift_index, label))\n", " else:\n", " early.append((drift_index, label))\n", " plt.plot([drift_index, drift_index], [ymin, ymax], linestyle='dotted', \n", " label=\"_\", c=colors[i])\n", " \n", " plt.legend()\n", " \n", " if change_point is not None:\n", " plt.plot([change_point, change_point], [ymin, ymax], linestyle='dashed', c=\"grey\")\n", "\n", " plt.show()\n", "\n", " if len(signals) > 0:\n", " print(\"Signals:\")\n", " for i, label in sorted(signals):\n", " print(f\"{i} : \\t {label}\")\n", " print(\"\")\n", " \n", " if len(early) > 0:\n", " print(\"Too early:\")\n", " for i, label in sorted(early):\n", " print(f\"{i} : \\t {label}\")\n", " print(\"\")\n", " \n", " if len(correct) > 0:\n", " print(\"Correct:\")\n", " for i, label in sorted(correct):\n", " print(f\"{i} : \\t {label}\")\n", " print(\"\")" ] }, { "cell_type": "markdown", "id": "27bb13d2-7832-4b9b-a963-bac28e547c6b", "metadata": {}, "source": [ "### Simple Jumper" ] }, { "cell_type": "markdown", "id": "1b3ea245-85f1-4d4c-9a96-4692e0b49162", "metadata": {}, "source": [ "We first consider martingales generated by two variants of `SimpleJumper`, using the (default) `EpsilonBettingFuntion` and the `StepBettingFunction`, in both cases using the default settings of the betting functions." ] }, { "cell_type": "code", "execution_count": 9, "id": "dba68b3a-6265-41a5-a81b-db51432707a8", "metadata": { "panel-layout": { "height": 700.9942626953125, "visible": true, "width": 100 } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Signals:\n", "875 : \t SimpleJumper (step)\n", "\n", "Correct:\n", "875 : \t SimpleJumper (step)\n", "\n" ] } ], "source": [ "martingales_simple_jumper = {\n", " \"SimpleJumper (epsilon)\" : SimpleJumper().apply(p_values),\n", " \"SimpleJumper (step)\" : SimpleJumper(bf = StepBettingFunction()).apply(p_values),\n", "}\n", "\n", "plot_martingales(martingales_simple_jumper, change_point=t)" ] }, { "cell_type": "markdown", "id": "7c654daf-89a7-45de-973a-3f8831c56bac", "metadata": {}, "source": [ "### Sleeper/Stayer" ] }, { "cell_type": "markdown", "id": "e0d69f7b-bbba-4c6f-b71f-b3611706fa8b", "metadata": {}, "source": [ "We also consider martingales generated by `SleeperStayer`, again using the `EpsilonBettingFuntion` and the (default) `StepBettingFunction`." ] }, { "cell_type": "code", "execution_count": 10, "id": "f67eba7f-0cee-4cf6-aedc-1ae5e1590291", "metadata": { "panel-layout": { "height": 700.9942626953125, "visible": true, "width": 100 } }, "outputs": [ { "data": { "image/png": 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Wpz/HTHUhISEMHjyYwYMH8/jjjzNhwgSeeOIJ7UP5TC6Xi+TkZN5///1y2xo1akRxcTEAc+fOpVevXh7bDYbK+0GVtua4XC6GDx/O888/X26fpk3LflbCwytOQdGwYUNGjRrFqFGjSE1N5dJLL2XmzJm8++6757z28OHDadGiBXPnziUuLg6Xy0ViYiI2W1nn8wkTJtCtWzcOHjzIO++8w6BBg7SEwS6XC4PBQHp6erl7jYiI0MqhoaGVdoiNiYkB4NSpUzRq1Eg7P8A333xDs2bNPPa3WCznPR+UfW8nTJjA0KFD+eabb1i2bBmpqam8+OKL3HfffZWe48zzlFJKlVtnMpnKHXN2x+STJ0/Sps0FzAvlBQlehBBVoMqCEc6feFVz5mijOkSn01Xp0U11UoDd6dLKVdWpU6dzzuvSvXt3FixYQOPGjalfv3657ZGRkTRr1oy9e/cyZsyY817np59+ol+/fgA4HA7S09O1DrHdu3fns88+o1WrVhiNF/d9NJvNtGnTRptXpDQgP3Oky4kTJ9i+fTtvvvkmffv2BeDHH38sd64uXbrQo0cP5s6dywcffMCrr76qbbv00ktxOp1kZ2dr57hQbdq0oX79+mzbtk17RFbawTczM9PjEVFFfvrpJ+Lj4wF3ALRz506t5QqgRYsWTJw4kYkTJzJt2jTmzp1bpeClY8eO/Pjjj9xxxx3aurVr19KxY0ev7/G3337j5ptv9vo4b0jwIoSonDEE/rK6rFwVdbTlJRDoddC2cYRWPtuJEycYNWoUd999N127dqVevXqsX7+eF154gREjRlR4zjFjxvDvf/+bESNGMGPGDJo3b05mZiYLFy7koYceonnz5jz55JPcf//91K9fn5SUFKxWK+vXr+fUqVNMnTpVO9frr79O27Zt6dixI//5z384deoUd999NwD33nsvc+fO5dZbb+Whhx4iJiaG3bt389FHHzF37txztuJ8/fXXfPTRR/zpT3+iXbt2KKX46quvWLx4MfPmzQOgZcuW6HQ6vv76a6699lpCQ0O1kVNz5syhadOmZGZm8vDDD1d4jQkTJjB58mTCwsIYOXKktr5du3aMGTOGO+64gxdffJFLL72U48eP88MPP9ClSxeuvfbayt+0Enq9nquvvpoff/yRG264AYB69erx4IMP8re//Q2Xy8WVV15JXl4ea9euJSIiwqM/0YwZM2jYsCGxsbFMnz6dmJgY7TxTpkwhJSWFdu3acerUKX744YcqBx8PPfQQt9xyC927d2fQoEF89dVXLFy4kO+++67K9wbuEWeHDh3i6quv9uo4r1XapbeWkdFGQlTMarWqJ598Uj355JPa6JFqYyt0jzR6or5SRTnVe61qdL6REYGsuLhYPfzww6p79+4qMjJShYWFqfbt26tHH31UFRYWavtxxmgjpZTKyspSd9xxh4qJiVEWi0W1bt1a3XPPPR5/T99//33VrVs3ZTabVYMGDVS/fv3UwoULlVJlo40++OAD1atXL2U2m1XHjh3V999/71G/nTt3qpEjR6qoqCgVGhqqOnTooKZMmaKN7Onfv7964IEHPI7Zs2ePuueee1S7du1UaGioioqKUj179lTz5s3z2G/GjBmqSZMmSqfTqXHjximllEpLS1MdO3ZUFotFde3aVa1YsaLcvSul1OnTp1VYWJiaNGlSue+pzWZTjz/+uGrVqpUymUyqSZMmauTIkWrLli1KqfKjd85nyZIlqlmzZtpoJ6Xco9heeeUV1b59e2UymVSjRo3U0KFDy40W+uqrr1Tnzp2V2WxWPXv2VJs2bdLOMXnyZNWmTRtlsVhUo0aN1NixY7VRXpWNNlJKqVmzZqnWrVsrk8mk2rVrp9577z2P7RV9zyIjIz3eg2effVYNHTr0nPfuq9FGupIK1Rl5eXlERkaSm5tbYdOnEMHqovq8eOtkBvxfNzCFwSOHa+0kdcXFxWRkZJCQkHBRGXCDxb59+0hISGDjxo1069bN39Xx2oEDB2jVqhW//vor3bt3r7brKKW4/PLLmTJlijZypzIrVqxgwIABnDp1yufT+vuK1Wqlbdu2fPjhh+U6/5Y63++UN5/fMtpICFE5px02vu9eqpIeoLS/S0RsrQ1cAplLKU4W2DhZYDtnegBRdXa7nczMTP75z39y+eWXV2vgAu5+U3PmzMHhcFTrdWra/v37mT59+jkDF1+SPi9CiMo5bfCFe/4HOt8ABtN5d5f+LtVLKTh4yj0UNTI0kgqn2RVVtmbNGgYMGEC7du08ZrWtTklJSeedD6Y2ateundYJubpJ8CJEkNDr9bRt21Yre0VngLZDysqVqaMjjQKFDqgXYtLKgaJVq1bUxp4IV111VcDXuzbUsSZJ8CJEkDAajdx2220XdrApBMZ8UvX9peWlWun1OhJiKp4HRYhgIH1ehBC+Jy0vQohqJMGLEML3pOVFCFGN5LGREEHCZrMxc+ZMwJ1Uzuv0AG+UjCCYuKby9ADS8lKtXC7Frmx3eoC2jc+dHkCIukqCFyGCiN1ehWHOFVJwcm9ZuTJa8CItL9VBAVaH9+kBhKgrJHgRQlTOGAJ3Ly0rn481H2zuVgHqxVZvvYKUXgdtGp07PYAQdZ30eRFCVE5vgPjL3Yu+kqHS+UfdX831wFKv+usWhHQ6HeEWI+EWY6VZjCs7z7kSNYrq9dhjj/HnP//Z39Xg5ptv5qWXXvJ3NbwmwYsQwre0zrrS38WfsrOz+ctf/kJ8fDwWi4UmTZowdOhQ1q1b5++qXbCNGzcybNgwGjduTEhICK1atWL06NEcP34ccE+hr9PpyMnJ8W9FK3H06FFeeeUVHnnkkSrtf+edd2rJF33t8ccf55lnniEvL69azl9dAi542bFjB926ddOW0NBQ+c9ACH9zOuD3Re7FWcmU5tJZt9oppcgptJFTaDvnxGU33XQTmzdv5t1332Xnzp18+eWXXHXVVZw8ebKGa3vxbDYb2dnZXH311cTExLB06VK2b9/OO++8Q9OmTSksLPR3FctxOp24XK4Kt7399tv07t2bVq1a1WylKtC1a1datWrF+++/7++qeKfS1I1+dPr0adWwYUOVn59f5WMkq7QQFbuorNLW/LIs0dZKfh/X/J97v08nXHhlA0SgZpV2OF1q84FTavOBU8rhdJXbfurUKQWoFStWnPc8nJUl+ODBg+qWW25RUVFRKjo6Wl1//fUqIyPD45h33nlHdejQQVksFtW+fXv1+uuva9tKs0p/+OGHqnfv3spisahOnTqp5cuXe5zj999/VykpKSo8PFw1btxY3X777erYsWPa9v79+6t7771X/e1vf1MNGzZU/fr1U4sWLVJGo1HZ7fYK76X02mcupVmlv/32W3XFFVeoyMhIFR0dra677jq1e/du7dgBAwaoe++91+N8x48fV2azWcuIbbVa1UMPPaTi4uJUWFiYuuyyyzzuqzRL81dffaU6duyoDAaD2rt3b4V17dKli3rttdc81n3yyScqMTFRhYSEqOjoaDVo0CCVn5+vnnjiiXL3VXrdyt6vcePGqREjRqgnn3xSNWrUSNWrV0/9+c9/Lvf7/+STT6q+fftWWFdf81VW6YBreTnTl19+yaBBgwgPl5kkhbhYOp2Oli1b0rJlS+/7Sej00PJK96Kr5M+G1vJSRzvrKgW2Av8sJa0sOijr81JBFSMiIoiIiODzzz/HarVW6bYKCwsZMGAAERERrFq1ih9//JGIiAiuueYabDYbAHPnzmX69Ok888wzbN++nWeffZbHHnuMd9991+NcDz30EH//+9/ZuHEjffr04frrr+fEiRMAZGVl0b9/f7p168b69etZsmQJR48e5ZZbbvE4x7vvvovRaGTNmjW8+eabNGnSBIfDwaJFiypsbWrRogWfffYZ4G7Bz8rK4pVXXgGgoKCAqVOn8uuvv/L999+j1+sZOXKk1jIyYcIEPvjgA4/v1fvvv09cXBwDBgwA4K677mLNmjV89NFHbNmyhVGjRnHNNdewa9cuj+9hamoqb731Fr///juNGzcuV89Tp07x22+/0aNHD21dVlYWt956K3fffTfbt29nxYoV3HjjjSilePDBB7nlllu45ppryMrKIisriz59+lTp/QL4/vvv2b59O8uXL+fDDz9k0aJFPPXUUx51uuyyy/jll1+q/LMSEHwdVa1cuVINGzZMNW3atFxUX+r1119XrVq1UhaLRXXv3l2tWrWqwnONGDFCffbZZ15dX1pehPCjjB+VerWHu+Vl7WuV7x/gKvwv8cxWqJpeKmv1OsOnn36qGjRooEJCQlSfPn3UtGnT1ObNmz32OfNv9Ntvv63at2+vXK6ylhyr1apCQ0PV0qVLlVJKtWjRQn3wwQce5/jXv/6levfurZQqa/147rnntO12u101b95cPf/880oppR577DE1ZMgQj3McOHBAAWrHjh1KKXfLS7du3crd0yOPPKKMRqOKjo5W11xzjXrhhRfUkSNHtO3Lly9XgDp16tR5vzfZ2dkKUFu3blVKKVVcXKyio6PVggULtH26deumnnzySaWUUrt371Y6nU4dOnTI4zyDBg1S06ZNU0q5W14AtWnTpvNee+PGjQpQmZmZ2rr09HQFqH379lV4TGkLypmq8n6NGzdORUdHq4KCAm2f2bNnq4iICOV0OrV1mzdvPu/1fSlgW14KCgpISkritddeq3D7ggULmDJlCtOnT2fjxo307duXlJQUMjMzPfbLy8tjzZo1XHvttb6uohCiOuQdhvnXwvGd7tfS58WvbrrpJg4fPsyXX37J0KFDWbFiBd27d2f+/PkV7p+ens7u3bupV6+e1nITHR1NcXExe/bs4dixYxw4cIDx48dr2yMiInj66afZs2ePx7l69+6tlY1GIz169GD79u3adZYvX+5xjg4dOgB4nOfMlolSzzzzDEeOHOGNN96gU6dOvPHGG3To0IGtW7ee93uxZ88ebrvtNlq3bk39+vVJSEgA0D53LBYLt99+O++88w4AmzZtYvPmzdx5550AbNiwAaUU7dq186j3ypUrPepsNpvp2rXreetSVFQEQEhI2ZQDSUlJDBo0iC5dujBq1Cjmzp3LqVOnznueyt6vM88dFlY2qWTv3r3Jz8/nwIED2rrQ0FCAgOw7dC4+n+clJSWFlJSUc25/6aWXGD9+PBMmTADg5ZdfZunSpcyePZvU1FRtvy+++IKhQ4d6vMEVsVqtHk1dta3HtBB1xvFdnq/r6gR1pjB45LD/ru2FkJAQBg8ezODBg3n88ceZMGECTzzxhPahfCaXy0VycnKFHTcbNWpEcXEx4H501KtXL4/tBkPlmcZLH1W6XC6GDx/O888/X26fpk3LfmbO1V2gYcOGjBo1ilGjRpGamsqll17KzJkzyz26OtPw4cNp0aIFc+fOJS4uDpfLRWJiosfjlQkTJtCtWzcOHjzIO++8w6BBg2jZsqVWZ4PBQHp6erl7jYiI0MqhoaGVPpKNiYkB3I+PGjVqBLi/f2lpaaxdu5Zly5bx6quvMn36dH7++Wct0DpbZe9XZc6sZ2kn7qocFyhqdJI6m81Geno6Dz/8sMf6IUOGsHbtWo91H3/8cZXGwKemppZ7fieEKM9ms2l9AB544AHv0gPYi+Ctwe7yhDQwhZbfx1Hs+bqutrzodGD2bz88l0ux+1g+AJc0iqhyeoBOnTqdc/Rm9+7dWbBgAY0bN6Z+/frltkdGRtKsWTP27t3LmDFjznudn376iX79+gHgcDhIT09n8uTJ2nU+++wzWrVqhdF4cR9BZrOZNm3aUFBQoL0G90ifUidOnGD79u28+eab9O3bF4Aff/yx3Lm6dOlCjx49mDt3Lh988AGvvvqqtu3SSy/F6XSSnZ2tneNCtWnThvr167Nt2zbatWunrdfpdFxxxRVcccUVPP7447Rs2ZJFixYxdepUzGazxz1B5e9Xqc2bN1NUVKS1rvz0009ERETQvHlzbZ/ffvuN5s2ba4FVbVCjHXaPHz+O0+kkNtazI19sbCxHjhzRXufm5vLLL78wdOjQSs85bdo0cnNzteXMpjAhhKfCwsILaxpWLji61b2oiod/Yi/yfB1RR4OXAKCAYruTYruzwvQAJ06cYODAgfzvf/9jy5YtZGRk8Mknn/DCCy8wYsSICs85ZswYYmJiGDFiBKtXryYjI4OVK1fywAMPcPDgQQCefPJJUlNTeeWVV9i5cydbt25l3rx55SY5e/3111m0aBF//PEH9957L6dOneLuu+8G4N577+XkyZPceuut/PLLL+zdu5dly5Zx9913l/uAPtPXX3/N7bffztdff83OnTvZsWMHM2fOZPHixdo9lXZG//rrrzl27Bj5+fk0aNCAhg0bMmfOHHbv3s0PP/zA1KlTK7zGhAkTeO6553A6nYwcOVJb365dO8aMGcMdd9zBwoULycjI4Ndff+X5559n8eLF56xzRfR6PVdffbVHAPXzzz/z7LPPsn79ejIzM1m4cCHHjh2jY8eOALRq1YotW7awY8cOjh8/jt1ur9L7Be5/WsaPH8+2bdv49ttveeKJJ5g8eTJ6fdnH/+rVqxkyZIhX9+F31dAfR8NZHXYPHTqkALV27VqP/Z5++mnVvn17n1xTOuwKUbGLGirtdCi1+3v34nRUvE/6u56dS+uAQB0q7XK5VF6RTeUV2Tw6bJYqLi5WDz/8sOrevbuKjIxUYWFhqn379urRRx9VhYWF2n5n/43OyspSd9xxh4qJiVEWi0W1bt1a3XPPPR5/T99//33VrVs3ZTabVYMGDVS/fv3UwoULlVJlHXY/+OAD1atXL2U2m1XHjh214caldu7cqUaOHKmioqJUaGio6tChg5oyZYp2L/3791cPPPCAxzF79uxR99xzj2rXrp0KDQ1VUVFRqmfPnmrevHke+82YMUM1adJE6XQ6bah0Wlqa6tixo7JYLKpr165qxYoVFQ4oOX36tAoLC1OTJk0q9z212Wzq8ccfV61atVImk0k1adJEjRw5Um3ZskUpVTZUuiqWLFmimjVrpnWa3bZtmxo6dKhq1KiRslgsql27durVV1/V9s/OzlaDBw9WERERHkOlK3u/Sjv6Pv7446phw4YqIiJCTZgwQRUXF2vnLioqUvXr11fr1q2rUt0vlq867OqUOscMRz6g0+lYtGiRNjOgzWYjLCyMTz75xCOqfeCBB9i0aRMrV6686Gvm5eURGRlJbm7ueZvShAg2NptN61c2bdo07x4bVcWaVyDt8bLXT+b69vx+UFxcTEZGBgkJCZX2vxOwb98+EhIS2LhxI926dfN3dbx24MABWrVqxa+//kr37t2r7TpKKS6//HKmTJnCrbfeWm3XufPOO8nJyTnvRK+vv/46X3zxBcuWLau2epzpfL9T3nx+1+hjI7PZTHJyMmlpaR7r09LS6NOnT01WRQjha4W1b+ZWIcCdbT0zM5N//vOfXH755dUauID7H/s5c+bgcFQyW3UNMJlMHv17agufd9jNz89n9+7d2uuMjAw2bdpEdHQ08fHxTJ06lbFjx9KjRw969+7NnDlzyMzMZOLEib6uihDCV5wO2PO9u9xmEBgq+NNRdEbwcu+vNVOvIKWU4nSx+4OvXsjFJWcUsGbNGgYMGEC7du349NNPa+SaSUlJJCUl1ci1zicQkkNeCJ8HL+vXr9dmJAS0jlHjxo1j/vz5jB49mhMnTjBjxgyysrJITExk8eLF2pA0IUQAclrhg5IZUB85fI7gpWReij73QaN25bcLn3Ep2HfCPcKmc1wkhgCJXVq1anXOXEuB7KqrrqqV9a7Mueb0qQt8HrxU5Ydg0qRJTJo0ydeXFkKch06nIy4uTit7d7Ae4i4tK1eksCR4Kd1PVBsdEGo2aGUhgk2NzvMihPAfk8nEPffcc4EHh8KfV5x/n9LHRqENLuwaosr0eh1tG9fzdzWE8JuATswohKhFSjvshkb7tx7VoC4+UhDCH3z1uyTBixDi4ilV1uclrO4ELyaTCahdOV+ECGSlv0ulv1sXSh4bCREk7HY7r7/+OuCe5dSrPx72InivZGbWO74onx7AXuju1At16rGRwWAgKiqK7OxsAMLCwgJiZI/LpThwyv0h0KJBWJXTAwjhL0opCgsLyc7OJioqqkr5sM5HghchgoRSitzcXK3s3cEuOPBzWflspY+M9CYwR5TfXos1aeJOc1AawAQCl1IcznHnknLkhqAPgIBKiKqIiorSfqcuhgQvQojKGSww+v2y8tnOfGRUxz5IdTodTZs2pXHjxtjtdn9XBwCH00WW8wQALVs2xGiQHgAi8JlMpotucSklwYsQonIGI3Qcdu7tQTDSyGAw+OwPry9c3SXM31UQwm8kXBdCXLw6PNJICBF4pOVFCFE5lxP2r3WXW/YB/VktEKUtL3VopFEgc7oUv2S4v+eXJURjkA67IshI8CKEqJyjGN4teWz0yGEwh3tuL+3zUocfGwUSq8PJrXN/AmDbjKGEmeVPuQgu8hMvRJDQ6XQ0atRIK3t5NDTqUFY+W6EELzVJh462jSO0shDBRoIXIYKEyWS68Jxi5jC49+dzb5fHRjUq1GwgbWp/f1dDCL+RDrtCiIunPTaS4EUIUf0keBFCXLzCuj9UWggROOSxkRBBwm63M3fuXADuuece79MDfPgnd/nWj8qnB5DHRjWq2O5kwrvrAXhrXA9CTIEz/4wQNUGCFyGChFKKY8eOaWXvDnbB3hVl5bPJPC81yqUUP+4+rpWFCDYSvAghKmewwI1zy8pncrmgOMddlpaXGmE26Hl5dDetLESwkeBFCFE5gxG63lLxNmtuWWuM9HmpEUaDnhsubebvagjhNxKyCyEuTukjI1M4GCtI2iiEED4mLS9CiMq5nJC1yV1u2s0zPUChO7sx4Q1rulZBy+lS/HYoF4DEZpGSHkAEHQlehBCVcxTD3IHu8tnpAQrcnYAJi6n5egUpq8PJiNfXAJIeQAQn+YkXIkjodDoiIyO1spdHQ2R8WflMBe5RL4Q3uqj6iarToaNZVKhWFiLYSPAiRJAwmUxMmTLlwg42h8Hftla8rbA0eJGWl5oSajaw5uGB/q6GEH4jHXaFEBenQIIXIUTNkuBFCHFxSoMX6fMihKgh8thIiCBht9uZP38+AHfeeaeX6QGK4dO73eWb3wFTSNm20g670uelxhTbndz34UYAXr31UkkPIIKOBC9CBAmlFIcPH9bK3h3shB3flJXPJH1eapxLKdK2HdXKQgSbgAxejEYjiYmJAPTo0YO33nrLzzUSIsgZzDD8lbLymbTHRjLPS00xGfSk3thFKwsRbAIyeImKimLTpk3+roYQopTBBMl3ll+vlAyV9gOTQc+tl8VXvqMQdZSE7EKIC1ecCy67uyyPjYQQNcTnwcuqVasYPnw4cXFx6HQ6Pv/883L7zJo1i4SEBEJCQkhOTmb16tUe2/Py8khOTubKK69k5cqVvq6iEMJbLhdkb3cvLlfZ+tLUAOYIMIX6p25ByOVS7Dx6mp1HT+NySZ8XEXx8HrwUFBSQlJTEa6+9VuH2BQsWMGXKFKZPn87GjRvp27cvKSkpZGZmavvs27eP9PR03njjDe644w7y8vJ8XU0hhDccRTDrcvfiKCpbr6UGkP4uNanY4WTIf1Yx5D+rKHY4Kz9AiDrG531eUlJSSElJOef2l156ifHjxzNhwgQAXn75ZZYuXcrs2bNJTU0FIC4uDoDExEQ6derEzp076dGjR4Xns1qtWK1W7bUEOkKcW1hY2EUcXEGAIv1d/CY63Fz5TkLUUTXaYddms5Gens7DDz/ssX7IkCGsXbsWgFOnThEWFobFYuHgwYNs27aN1q1bn/OcqampPPXUU9VabyHqArPZzEMPPXSBB4fDP/aWXy/DpP0izGxkw2OD/V0NIfymRjvsHj9+HKfTSWxsrMf62NhYjhw5AsD27dvp0aMHSUlJDBs2jFdeeYXo6OhznnPatGnk5uZqy4EDB6r1HoQQZ5CM0kIIP/DLUOmzM9oqpbR1ffr0YevWcySAq4DFYsFisfi0fkKIKioo6bArLS9CiBpUo8FLTEwMBoNBa2UplZ2dXa41RgjhW3a7nffffx+AMWPGeJ8e4MvJ7vL1r5WlB9BSA0jwUpOK7U7++dkWAJ6/qaukBxBBp0YfG5nNZpKTk0lLS/NYn5aWRp8+fWqyKkIEHaUU+/fvZ//+/ReWHmDrJ+7lzPQAhdJh1x9cSvHFpsN8semwpAcQQcnnLS/5+fns3r1be52RkcGmTZuIjo4mPj6eqVOnMnbsWHr06EHv3r2ZM2cOmZmZTJw40ddVEUL4isEMQ1PLyqUko7RfmAx6HhvWSSsLEWx8HrysX7+eAQMGaK+nTp0KwLhx45g/fz6jR4/mxIkTzJgxg6ysLBITE1m8eDEtW7b0dVWEEL5iMEHvSeXXF8hoI38wGfSMvzLB39UQwm98HrxcddVVlTZJT5o0iUmTKvhDKISoPVwuGSothPCLgEzMKIQIMC4X5JZMQxDZAvR6KDoJLod7XXhj/9UtCLlcikM57pmOm0WFotfrKjlCiLpFghchROUcRfBKV3f5kcPuSevyj7pfh0aDUWZ7rUnFDid9X1gOwLYZQwkzy59yEVzkJ16IIOLV8OhyB5+VWqA0eImQaQ78IVSGR4sgJsGLEEHCbDbzyCOPXODB4TA9y3Ndfrb7a4Q8MqppYWYj2/91jb+rIYTfyBg7IcSFkZYXIYSfSPAihLgw0vIihPATeWwkRJBwOBx8/PHHANxyyy0YjV78+jussPhBd/namWC0SMuLH1kdTp744ncAnhrRGYtR+r+I4CItL0IECZfLxa5du9i1axcul8vLgx2w4T33Ujo8WoIXv3G6FB/9eoCPfj2A0yXpAUTwkZYXIUTl9CYY+GhZGcoeG9WT4KWmGfV6HhzSTisLEWwkeBFCVM5ohn4Pea6Tlhe/MRv1TB7Y1t/VEMJvJGQXQnjPYYWiU+6yBC9CiBomLS9CiMopBYUn3OWwhlBwzF3WmyAkym/VClZKKU4W2ACIDjej00l6ABFcJHgRQlTOXgj/buMuP3L4jEdGjd15jkSNKrI7SX76O0DSA4jgJH91hBDekzlehBB+JOG6EEHCbDbzxBNPXODB4fBkbtlr6azrV2FmI/ueu87f1RDCb6TlRQjhPWl5EUL4kQQvQgjvScuLEMKP5LGREEHC4XCwaNEiAEaOHOl9eoC0kkdOg5+S4MXPrA4nz337BwAPp3SQ9AAi6EjLixBBwuVysW3bNrZt23Zh6QF+nu1eXA55bORnTpdi3pp9zFuzT9IDiKAkLS9CiMrpTdD372XlU/vcZWl58QujXs+9A9poZSGCjQQvQojKGc0w6HF3Oe+seV5EjTMb9Tw0tIO/qyGE30jILoTwTvb2snKDBP/VQwgRtKTlRQhROaXcs+wCnC5pdWk9AGRaer9QSlFkdwIQajJIegARdCR4EUJUzl4Iz8a5ywMecX+V/i5+U2R30unxpYCkBxDBSR4bCSG8c7pkpFE9CV6EEP4h4boQQcJkMjFt2jSt7N3BYe6EjACf3+v+GtHEh7UT3gg1Gdg2Y6hWFiLYSPAiRJDQ6XSYzeYLPdid3wigQOZ48TedTiePikRQC7jHRqdPn6Znz55069aNLl26MHfuXH9XSQhxptNH3F/rScuLqNiy34/w/s/7vTrG5vBy4kQR1AIudA8LC2PlypWEhYVRWFhIYmIiN954Iw0bNvR31YSo1RwOB19//TUAw4YN8zI9gA1WPucul442ksdGfmNzuHjl+50APDCoHWZj4Pwf6nIp/vzfdAC6xzegY9P6lR7zxaZDTFmwiT/3a820lI7VXUVRBwTOT3wJg8FAWFgYAMXFxTidTpSS6a+FuFgul4vNmzezefPmC0gPYIfVL7oXe757nTw28huHy8Xry/fw+vI9OLx9L31MKcW0hVv524JNuFyK4wVWbduu7PwqneP15btRCt5cuZcCq6O6qirqEJ8HL6tWrWL48OHExcWh0+n4/PPPy+0za9YsEhISCAkJITk5mdWrV3tsz8nJISkpiebNm/OPf/yDmJgYX1dTCOENvRF6/RWSbnW/NoWBpZ5/6xTEDHodd13RiruuaIVB7985XrJPW/nwl0wWbTzEZxsO8tAnW8q25RUDcCS3mNxCe4XHO12KjOMF2uvOTywlXwIYUQmfBy8FBQUkJSXx2muvVbh9wYIFTJkyhenTp7Nx40b69u1LSkoKmZmZ2j5RUVFs3ryZjIwMPvjgA44ePerragohvGG0QMpz0H2c+3VErExQ50cWo4EnhnfmieGd/Z5ReseR01r5oU+3sHLnMe115slCBr24gstTv2fk7DUex20+kMOMr7bR/tFvsTs9W9fT95+q3kqLWs/nfV5SUlJISUk55/aXXnqJ8ePHM2HCBABefvllli5dyuzZs0lNTfXYNzY2lq5du7Jq1SpGjRpV4fmsVitWa1kzZV5eng/uQghRofySzroyQZ0ocWbwcrb31pV12t17rACrw4nFaMDmcDHi9TXnPG7b4Tz6t2vk03qKuqVG+7zYbDbS09MZMmSIx/ohQ4awdu1aAI4ePaoFIHl5eaxatYr27duf85ypqalERkZqS4sWLarvBoQIdqWddWWCOoG7v8szi7dXvmOJka+7/85/s/VwuW0JMeFa+Yc/pLVdnF+NjjY6fvw4TqeT2FjPP3yxsbEcOeL+j+7gwYOMHz8epRRKKSZPnkzXrl3Pec5p06YxdepU7XVeXp4EMEL4mq2gLD0ASMuLnxXaHH5PD+B0Kdo8stirY7Zl5bF4axbbDpdvIX84pQNtGkVw9Usr2XooF5dLofdzfx4RuPwyVPrsJGJKKW1dcnIymzZtqvK5LBYLFovFl9UTQlRGgpeglVdsZ8lvR2jTKOKc+/RtG8PqXce11zNHJfHgJ5sBmPT+Bm7rFV/umCGdYrE53SOniu0uThc7iAzzciZoETRqNHiJiYnBYDBorSylsrOzy7XGCCF8y2Qy8eCDD2pl7w4Og4f2wCfjYN+PUK9pNdRQVFWoyUD6o1dr5Zr06KLf+HKz52Off43ojNmoZ3vWaaZf556npe30b7Xt13ZpogUvAB/8nOlx/MhLm6HT6bAYDYSbDRTYnLzy/S6sDic9W0Vzw6XN2HMsn0EvrmRc75Y8NSKxGu9Q1AY1GryYzWaSk5NJS0tj5MiR2vq0tDRGjBhRk1URIujodDrCw8Mr37HigyE8BgpLRoFInxe/0ul0NIyo2RbnYruTfy/dUS5wARjdM77cRHmTB1zCa8t307ZxBKEmA4nN6vPbIc/HRYM6uOcKenxYJ21dg3AzBbYi3lmTAcD7P2fSOa4+g/+zCoB31+1n+nWdAmpiPlHzfB685Ofns3v3bu11RkYGmzZtIjo6mvj4eKZOncrYsWPp0aMHvXv3Zs6cOWRmZjJx4kRfV0UI4WvaaCOZXTfYzF6xh7d/zCi3/uGUDhUGElMHt6N1o3Aub90QnU7Hl/deSeuz+sjcO/ASusc38FgXHx3GwVNFHutKA5dSP+09QT8ZjRTUfB68rF+/ngEDBmivSzvTjhs3jvnz5zN69GhOnDjBjBkzyMrKIjExkcWLF9OyZUtfV0UIcQaHw8HSpe5OnkOHDvU+PcCPL0HhCfdreWzkVzaHizmr9gDw535taqQV4pXvd1W4Pj46rML1er2OG7s393gdGWoit6hssrrG9cq3HnWPb8DaPSfOW5c73vmFr++7ksRmkVWpuqiDfP4Tf9VVV2kjhc5c5s+fr+0zadIk9u3bh9VqJT09nX79+vm6GkKIs7hcLtavX8/69esvLD3AipJ5mHRGCIv2fQVFlTlcLmYu28nMZTtrJD3Ad9vOPXT5XMFLRVY8eJXH60YVBC83JTcvt64imw/mVPm6ou6Rh4ZCiMrpjdD+WndZZtf1O4Nex596tuBPPVvUSHqACe+t18otokN59Lqy5ImtG1W9H1WDcDN7n72Wf1zTntljulc4O3BCTDh39mlV4fF92pQl6M05R7oBERwCLqu0ECIAGS3QbQzsWAz1pb+Lv1mMBp676dzzX1WnFQ8OwKUUmw/m0qFJPa/nmNHrdUy66pLz7vO3we1I33+KgR0aezyueuHmrsxZtZf31u3n30t38Od+rTEZ5H/wYCTBixCiako760p/l6BSbHdq5UWT+mDQ6zCg49VbL622a0aGmvjqvisB2JV9msVbjzDpqjY0bxBG/ZCyYf6PLvqN52/2TxAn/EtCViFE1ZyWvEbBqHTkT7jZQLcWUTV+/Vljktnx9DX845oOAPylf2tt24L1B2q8PiIwSPAihKicrcA92giks24AKLQ56PjYEjo+toRCm6Nar3XwVCEALaLDys2OXlPO7BtTL0Rm3RUSvAghqspV8vggvLF/6yEAKLI7KTrjkU51KW15ad4gtNqvVVVndujNlY67QUn6vAgRJEwmEw888IBW9ooxFGI6wPE/IKp8XhpRs0KMBlb/YwCFNifDX/2RPccKmHJ1W6Zc3c7n1zpQ0vLSvEHVh0RXtyev78z8tfsAuPmNtaRN7e/fCokaJy0vQgQJnU5HVFQUUVFR3jf/6/VQdNJdri8ddv1Nr9fRIjqMx774jT3HCgB4+btdnMi3+vxapS0vzaICp+XlTLuy87E5qn+uGxFYJHgRQlTO6YCCY+6ypAYICEopfsk46bHutrk/+/w6h0qClxbRgRW8jDpjMrs/juSdZ09RF0nwIkSQcDqdLFu2jGXLluF0etlXIu8woAAdhMiU7P52uthOr2e/L7d+x9HTOF3Kp9cq6/MSOI+NAB49Iznj5gM5/q2MqHESvAgRJJxOJ+vWrWPdunUXELwcLCkoUNXfSVSc3/p9p8g+XfEjoozj+T67TrHdyfGSR1GB1GEXIDLMxMT+bQB4YckO7E55dBRMJHgRQlSu9JFRSAPQlZ/SXdSsEwXn7tvy5sq9HhPLXYxDOWVzvESGBt4Q5Z6t3BmpT1sd/HvpDj/XRtQkCV6EEJUrLOlbEd8LTCH+rYtgV7Zn68qH91yulT9JP8hDn27xyXX2lnQG9uccL+fTK6Es19GcVXu59pXV1dJpWQQeCV6EEJXLL8kqLLPrBoQ3V+7Vyo3qWejdpqFHh9qvNh/mhz+OcqrAhtOl+HnvCXYdPe1xjl1HT7No40Fc5+kj8+s+d9Dqj5l1q8Js1GM8IzHltqw8Hv38Nz/WSNQUmedFCFG505LXqKYdzStm+R/Z3HBpM0JMZY/qzm5Z+OLeKwA4Xew50+7d892ZoG/s3oyFGw4BsOfZazl0qojr/m81p63u/e0OxS09W5S7vlKKVTvdjwsvSwjcWZU3PD6Yrk8u015/+9sRWj38DXdd0Yonhnf2Y81EdZKWFyFE5XJLOuyue9WdKkBUu9vf+pmHF27lP9/t1NYdyiki+envtNdRYSaiwtx9UXq0rDjAKA1cAKYt3MK8tRla4AKwfv/JcsfMXbWXhGmL+ePIaQx6HX3axFz0/VSX+udIFzBvzT7+/N76Gq6NqCkSvAghKlf62EgClxpxOKdI69eyeGuWtv69dfs89ss5Y2r8Z29M9Jg2vyIfrz/IvDWe5ziRbyu33zOLt2vlYV2b0iQysPs5rZs2kCb1y9dx2bajZOUW+aFGorpJ8CJEkDCZTPz1r3/lr3/9q/fpAfJLRhvd9I47VYDwKavDyY2z1vD4F+7+Gn/9X7q2TV/SUVYp5dHX5fqkpiz7Wz9CSpIWNq4XwpPXd+a/4y/z6tpnD7lWyrMPzOQBl3h1Pn9oGhnKT48MIibCUm5baadjUbdI8CJEkNDpdDRu3JjGjRt7N3LE5YKCbHe5ZW93qgDhU6t3HmdDZg7vrdtPgdXB5oO52ra4SHewmHHc80P4soSGtIuth17v+V72bt2Qqiid7n/roVzW7jmurT92RjDzy/RBtI2t593N+NGIbnHl1n295bAfaiKqm/wVEkKcX+HxkonpdJJRupqcOcHas2c8sgFYt/cEqYu386+vt2nrruvalD9V0MkWwGjQ88btye79urg7WDeuZyEl0TOtw8cTe2vlv/5vg1YuTcTYLCqUxvUC+3HR2f7SrzXjr0zg9du6a+s+/OWAH2skqouMNhIiSDidTlavXg1A3759MRiqONlc6Ugjczhs+h90GwOGwJuwrDbbc6xs3pZl246W2/7mqrLHRZ2a1ufl0d34JN3difrm5OaYDJ7/h16T2IR9z10HwPScIvQ6HY3qWWjzyGJtn8b1yh6x5BbZUUpxosDGk1+6g6RmATajblU0rh/CY8M6AfDMNyEczi0G3I/CAnGeGnHhpOVFiCDhdDpZuXIlK1eu9C49gNZZNx++egCc5Tt4igu38+hpZi4rG1FU+tgmsVn9Cvfv2aoBdqeLaQu3Mm3h1kqnxY+LCqVJZAgGvY5+7RoBcFX7RuUCnlkr9jDxv+lsPeR+ZBWoWaSr6syWpWPnSKUgai8JXoQQ51fa8hLeCNpfJ+kBfOzMocxnenxYZ96f0Kvc+v7tG6HX6RjcKZbBnWK1Dr1V8dyNXZhwZQKPXNsRwOPxyr+X7mD9/lPa66YBPsKoMs0bhNGqoTuZ5O5s3+V7EoFBHhsJIc5v0/vur+2GwojX/VuXOijEVPH/kMktG2DQ6/jm/iu57v9+1NbH1g8hxGRg7h09vL5WXFQoj5Y8VgG4tksT9DqoaJLd+gGYy8hblzSOYN+JQvYcL6DPJYE7V43wnrS8CCHOL3Od+6tLsvZWhyMl/TLOZigZRdQ5LpL46DBtfWwF85lcKJ1OR/qjgyvcdvZjpdqoeQP39+1gSSdkUXfU/p9OIUT1OXNSup4T/FePOqy0U+m/bkg85z7v3e2euyWxWX0ahpt9ev2oMBNdmkWWW1/RsOPapnlJp+NDp2SiurpGHhsJIc4tv2R+F4MFPhkH6ODen8Ecdt7DRNUdznF/sCY0DGf6tR15ZvH2co+EWsWEa6OHAIpsTq5+aSUA303tT6j5wvsh6XQ6Zo5KYtw7v6DXwYK/9CYmwnJR5wwUpcHLQQle6pyADF5GjhzJihUrGDRoEJ9++qm/qyNE8CoomVk3vBHkls6Xce4sxMI7dqdL60waFxXClW1jGNenFWbj+RvFFYpDJUGP8sH70b5JPX56ZFCdG1LcLModZJd+r0TdEZDBy/3338/dd9/Nu+++6++qCFFnGI1GJkyYoJWrpLTlJaIxjH6v5ES1exRKIJm2cKtWbloyk25lgQuAxWjQsklbjL5rIalLgQuUzVVz7LSVYrvTIzu3qN0Css/LgAEDqFev9kxJLURtoNfradasGc2aNUNf1Sn+S9MCRMRCs2T3opcPAF/5tGSiOcCrxzQGvY6kFlEktYjSOvaK8hqEmQgtCVgO10Dri1KKt1bvZf2+8pm6hW/5PHhZtWoVw4cPJy4uDp1Ox+eff15un1mzZpGQkEBISAjJycnarJ9CiABTOsdLvSbn309clEEdJO1CddDpdFrry8AXV5Iw7RtOFlTfJIsvpe3k6W+2c/Mb6/jbgk04KphAcOXOY4yf/6tku75IPg9eCgoKSEpK4rXXXqtw+4IFC5gyZQrTp09n48aN9O3bl5SUFDIzM31dFSHEGZxOJ2vWrGHNmjVVn2FXm6AuFrZ87F6cjuqrZBA580P0sTPmXqkKh9PF5xsP8fnGQxV+QIoynePKZipWCuackWrB1179YbdWXrTxED/8ke2xPTuvmHHv/ML3f2Tzf9/vqrZ6BAOf93lJSUkhJSXlnNtfeuklxo8frz17f/nll1m6dCmzZ88mNTXV6+tZrVas1rKpn/Py8ryvtBBBwOl08t133wHQs2fPquU20oKXaFh4j7vc4TowBGR3uYBUZHNSaHPQMMLisa77v9K01028nM3W5nQxZcEmAIZ0jsVYB+ZkqS6Nzvi+A2SeLDjHnhfn7Kzf4A5Q//HpZrYczOWTib257NnvtW0FVi9SdIhyavQvkM1mIz09nYcffthj/ZAhQ1i7du0FnTM1NZWnnnrKF9UTQpwtv/SxURy0vspd1skHZVUppRj+2o/aiKL1j15NTISFKQs2euznbUdSvU7HlSUzxnqTHiAYdWjqmSPqj6zT1XKdpb8fKbfu4TM6ZHd5cpnHti83H+aevq3p0rz8HDuicjX6V+j48eM4nU5iY2M91sfGxnLkSNkbP3ToUEaNGsXixYtp3rw5v/766znPOW3aNHJzc7XlwAFJfy7ERcs7DAvGQtZm9+sG8XDHF+7FVLsT9tWkzJOFHnl1SkcXLf29LHP0i6OSvD5viMnA/yb04n8TeskImkrceGkzHrm2A/9366UA7D1ewKlq6PeSedL7WXyHv/ZjtfbBqcv88i/U2cPxzp5bYOnSpRw7dozCwkIOHjxIz549z3kui8VC/fr1PRYhxEX6fBJs/7LsdYR02L0QZycETNt2FKU852W5sXuzmqxS0NHrdfy5XxuGd22qrfvbx5su6px/HMnjt5Ls2wdPFdLq4W/44Gd3v80XRyUx4cqEcx676qEBHq83H8y5qLoEqxoNXmJiYjAYDB6tLADZ2dnlWmOEEH50+IzHGjoDhEtSuwtRGrxc0jhCW/fHkbLHFnf0blnn5lYJVDqdDnNJ36AVO45RZLuwPieHcoq4/rU13DR7LcdOW/n30h0e27s0j2T6dR0rPPbpGxKJbxjGl5Ov0Nbtq6CvjKhcjQYvZrOZ5ORk0tLSPNanpaXRp0+fmqyKEOJ8inPKyhGx4LDC673ci02S3FXVjqPuQOX6pLI8QZM/2ABAQkw4M0acO5/R+RTZnAx+aSWDX1p5wR/Cwejr+6/Uyh0fX0LXJ5fy4CebOV1sB6DA6uDOeb9w34cb+WrzYVbtPFbuHDOX7sDmcGF1uPjhj6Ok7z+lbescV5+2jSPQ6XTcO6ANUWEmvpvan4EdGnNd16aM6RUPQNfmUfz1qjZAxR19ReV83mE3Pz+f3bvLhotlZGSwadMmoqOjiY+PZ+rUqYwdO5YePXrQu3dv5syZQ2ZmJhMnTvR1VYQQvuAoBhQc+6NkhaQHqKpth92jHzue0Wl0zzH3h1Vp3p0LoVDsKmnV8UV6gGDRLrYe43q35N11+wHIK3bwafpBj8kCS321+TAAX9x7BUktonC5FK0fWeyxzz8/K+uQO3tMdwZ0aKy1pD00tAN/H9wevV7HO3eW7/qQEBMOwHvr9jPhytbEN5R8Yd7wefCyfv16Bgwoe6Y3depUAMaNG8f8+fMZPXo0J06cYMaMGWRlZZGYmMjixYtp2bKlr6sihDiD0Whk3LhxWrnKik66UwKM+7rkRJIeoCp+3ntCe0TUKa4+j17Xkae/2a5tbxF94R9WFqOBD++5XCuLqntqRKIWvFTFd9uPktQi6rwdcrs2jySlS9Ny6/Xnmf24TaNwrTx75R5Sb+xS5TqJagherrrqqnId0s42adIkJk2a5OtLCyHOQ6/X06pVqws82AAJfX1an7qsyOZk9JyftNfNokJJahHlsc9dfVpd8PkNeh292zS84OODXc9WDfh136nKd8Q98dwDg9oy/fOyVpa2jSO0li+AZ0d6H3gkNY/SytLtyXsyYYMQwtPZM+iO+cw/9ajFXv5+p1Z+584eAMSf0dLSOiactrGSv81f5oztwfRrO/LbU0N5eXQ3mkWFUi/ESHLLBmx9cojWH6XUfR9uZM3uE4A7X1La1P7cfrm7/0rqjV1IbOb9XC1Gg55nRrr7PO05a1SaqJxMkylEkHA6naSnpwOQnJxcfoZdlwtO7gFzuOf61v3dAc3OJe7X7a6RGXYr8cl6dx+KZlGhDOzgHkl55kyv/do1uqjzO5wuvi+Zen5Qh8Yyw66XGoSbuadfawBuuLQZN1zqOVz974PbcfvlLbniuR8A+Pa3shGy8++6DICnrk/k74Pb0yDcfMH1KG19+TnjJM8v+YN/XtPhgs8VbOQnXogg4XQ6+fbbb/n2228rzm2U9hi81gOWPeq53mACpxUWjHEvTmv5YwVKKdL3n+RwThEnC2zodPD1fWWjW/R6HY8P68SA9o2YdNZ/9t6yOV385b/p/OW/6dgkt5HPGQ16mkWFsu+564iJKAtOzAa99vjPoNddVOACeLTYzF6x56LOFWzk3ychhNu6kmSqv53xmOimt91fdXpo0ausLMp5+8cMjw65iXGR5T7c7r4ygbvPM4FZVel1OpJbNtDKovrc07c1qd+6R9qdOdTaV6Zf25FnFrt/bnIL7USGmXx+jbpI/goJISqW0B+63Owum0Jh/DL3UgfSA2w+kMNTX/1OgdXdv+fbrVlc8/Iq/jjiXWJXpRR2p4sCq4P/pO302DawQ2Of1fdsISYDn/21D5/9tY+kB6hmY3u35LZe8cy9owftqqGf0oS+CcSVJOb84JdMjp2Wls2qkJYXIUTFDIH3H2CB1YFLKeqFXFzdRry+BoAlvx0hMtSkDWn+56db+GJy1f673p19mqtfWnXO7QOqMXgRNSfMbLyg0URVpdPpGJrYhHlr9vH8kj+YtXw33/+9P43ry5QE5yMtL0II2P19+XVnd9z1s2K7k+Gv/siAmStY9vsRfsk46dXxJwts7M7OJ69kNlWArNxij+n6Nx/MpdXD3/D68t3MWrGbRRvLT14GcDzfes7AxWLUc0njCBLjJM+aqJqxl5fNc3ba6uCWN9dVOuVIsJOWFyEE/O/G8utanTGvi70I5qW4y3d9W62Pjk7kW0l++jsA3rg9mWsS3UkhN2SeYm/JVOp//m86Oh2k/a2/R96g8+n5zHc4XYp6IZX/2TszX01KYtNyj2Ye+mTzOY9d+/BAzEZ9tY4AKrY7ueXNdQB8/Jfe8uiolmvdKIJQk4Eiu7sj/b4ThazedfyiR6XVZdLyIkSwO1euoh53l5WVy52s8fBGd7kalXZeBJj4v3S+2HSIVg9/w21zf/bYTylYscM9XNjmcPHhL5kczy/fX8DlUjz6+VacLvd/sqeLHeX2OZ+th3JZv+8kA2auYNXOY+QV21m+o3zOG4AhnWJpGGG56MdalXEpxZaDuWw5mItL/kOvE1699VKP13NW7fVTTWoHnapjbVN5eXlERkaSm5tL/frSbCtEKZfLpeUdu+SSS9DrS/53ObkX/s/zDydXPACDZ5S9djpgT8mjpTaDqm2el4ryx3ijdUw4Pzx4FQBWh5P2jy45577jr0zA4XQn2Fu08RBWR8VB2Zhe8aTvP+XxeKnUnLHJTP5gIwkx4TwxvBOdm0USGVr9fYUcTherdrkDqH5tG8k8L3XIloM5XP/aGu31umkDaRpZ+zvJV4U3n9/y2EiIIKHX62nXrl35DTkHyq+Lae/52mCEdkOrp2Iliu1OOjxWFmy8cFNX/vHZFo995t3Zkw2Zp3j1h91nHw7A3uMF/HEkj0YRFv7x6ZZy2wd3iuXgqSIeTulA/5ImeaUUT17fmUcWbmXhxkO8e/dlrN55jA9/yaTA5uT9nzMrvNaVl8QwpHMTlv2tH5Ghpoue88MbRoNem/xO1C0dmnh+aI99+xe+m9rfT7UJXNLyUkV7f/uZYyvnoNCjdHpcOgNKZ8ClM+DQW7Dpw1Al8y3ocVHfls3R8A4UmRuCwUxISAjG0AhC6kVjMpqxGHUYDXqabp1NgwPfs3/wm0TZjmBSNuxtr8NsNoHTjklZiczbDc17uPPLCA8ul+LBTzcTYjIw/dqOhFskHvfahv/Cl5M9143/DlqUz4RbHXKL7Nw17xc2ZOZo6+7o3ZIZIxJ5KW0n//f9Lv7crzVTB7fT+nYU2Zx0fPzcrSoV+eCeXvRpE3PO7QVWB1m5xVofmuy8Yi57toKOzCW+faCvR7ZoIXzll4yTWp8mgFCTgU//2pvOcd6nIahNvPn8luClijYs/S/d102ufEcfOahiiCGXEF3ZyIg/VEuydI2JUSfYq2+JU2+hwBRNsaEeRQ6F0hlxhceAuT46oxmdwUiIsuLQm8k1N8EQFoXBEoLeYMZs0BEZaiLUbMTlUthdLhxORYHNQbjZSKuYcOqHGKkXYsTpco+gOHiqiGXbjmDU67mjd0taNgzT0r+D+z/n3w/n0bJhGDFnTIXua0opdDodP+09wZ/OSH4H8HBKByb2v7jZS+sqp9PJ1q3u5HJdunQpSw/wwzOw6gXPnf+5H0Kjyl67nJCx0l1O6H/BgfTbP2bw0rIdPDUikZuTm/Pq97t48az5UQB2PH0NFqMBpRSFNmeFQemBk4V89GsmHZvWZ0D7xsz4ahsL1nu2Iul1sP1f16BDh9no/aOVVg9/o5X/0q81b/2YQeN6Fube0eOC8tn4itOlWLvnOAB92sRgOE/2YlE7FdudXPn8cq0fV5tG4Xwx+UoiLuIftNK/nYFKgpdqCF72b0/n8I//Q4cTnXKhV050JYvJVYzJWeSxf6PC3dj1oRhcVvQuO3qXHYurgHCX/xNwOZQeKyasmCjGTKEKwYEBHYpwXTHHVBTHVSSNdDnsUXGcVqE4MGDCQbTuNFHks87VmVNEYNWFYDeE4TKEQnEO4boislUUuvpxhITVJ0xnxWw9iTm2HU5LAzCFYDQYCDEZaFTPgsWox2LUYzbqsRgNmAzuFimTXodBryPUbCDCYqTI7uR4vo2lP29ly7bf+U2585KYcHC9fi02jCxxXYYdI/3aNWL8lQn0bNWAEKPhvGnpg4nNZiM1NRWAadOmYTaXPOb45C74fWHZji2vgLvO6ndiK4Bn49zlRw5f0DDqH3cd5/a3yzrdhpsNFNjKpyn4cvIVdD0j425VFdmc3Dr3JzYdyAGgfoiR/47vVS6bszfmr8ng30t38NqY7gxo35hiuzMgRvYU2hx0enwpANtmDCXMLC2OddHu7NP849MtWqukOz1BJEM6NaFX62jqh5hoFVO138U75/3Cih3HuHdAG0Z0a1YtE+5dLAlealuHXaXAaQN0oJyQcwCVfxQnemw2K0UOHS6XA1dRHvqcfWC0oE5n43I6UAXZ6GwFmHCgnHb0RSfR2QvQuRzoXA70yo7BZSPUnoMO/7/VNmUgn1D0KIqw4ERPkbJQhJlCQshV4RRiwYkBp9LjREeMLg8rJk6rUK4z/EykrpAsFU1TXfl5Pr529iLNmUyIzs54w2I+dl7FIgZiMpkwmEIxW8yEmgy4lMLqcGE26MktstOhaT1iIiyEmQ2EGRVh2FCW+tQPNRJmdgdbJoMem8NFvRAjZqOeUJN7/eGcIpwuRYvoMJpGhuBS7s6iVoeLg6eKKLI5aRhhptjupF1sPWL9NPnUOYOX/7vU3Wm33TXudACmMNCf1UphL4K3BrvLE9IqHCq9eGsWzy/5g6s7xnJNYhMsRnd+mC83H+Y/aTvJO8con3CzgfTHBvs0KFBK4XApTHW0I2ux3cnIWWsBWDRJZtmt63744yj/+no7GSVTBZwpPjqMTk3r0yDcRP92jemVEF2u/9Wjn2/lfz959t16e1wPjp228u66/TicLoZ0jiUxLpJ+7Rr57fG7BC+1LXipCS4XOIrAYS1Zit1f7YXu/6qVE9ABCvKzwZoHeSX/YdsKwWUHgxmsp8Gaj9Nhw1F8GmwFKGs+2AowmkwY9AYcxadRxXnoHYWgFAZnMUqnR68qSAZYw0pbnWyYqE8B2TQgR0VQiIVTKgKFjiT9XhrrcshwxfKrqwNGnZMDqhF5KpwiLNgxoHC35uhQtNBlE0Ex37m6k6fCOKEicaFDhyJCV4QVE9mqAToUVkzE1Asltr6FCKMOi8VMoc2Bw6UYxXe0LdzA1/EPk1PkpEnjhjSuF4LZqMds0GHU6zEadLiUwmI0EG5xB1Zmgx6TQV+ynx6TUYfZoEen06HXuaeStxj12O328sHL6SPwYknn3If2QnjDKn8vTxfb2XHkNL/uO8X324+yfv+pSo9JiAnnmRsSue0tdwvMnX1a8diwTvLYQ4hKKKX4dd8pNh/IYenvR877+xYXGULLhuFER5hZteMYp63eTQ/wj2vaM/7KBCxGz6A4O6+Yez/YwK/7TvHMyETG9Gp5jjNcGAleJHgJPEq5g6TiHCjOc/eZsBe6gyp7YUkQlQ9FOSXrne6AyuVyH1N4Ehq0hHpN3ec7vME934jeBP0egpN7YP077uPyj6JyD6DLrXh2VH87purjwEgj3I/lDqpG6FAMNGzy2G+1M5GtqjX5KgQnBk7ibubVochREZwmjCJloYAQ7BiwKyOFWCjGjB0jYVgJp5gjNECn01PPrONG/a8ArI3oi0tn4I7i9xlrW8Bv+g7cH/Y8CvcfSfdXUCj315K/Ekop7C7F8XwrFf3lCDMbaN4glJ1Hyz8e7dGyAbNu707jeiEU2524lJLHHUJchH3HC9h59DQZxwv4bMNBsnKLzzuP0cd/6e3REfh84iJD+Oq+KzmWb2XFjmPMWbWXkwU2bfuA9o2Yd9dlF30PZ5LgRYIXUUopcNrB5ShrbXIUuxen3R0w2YvcgVXRKXdAFBELBcfcrU+lj/Ny9oM1v+Q4m+c17EVQnAv2IpQtHwqOae0yKJc7C7PLXr5uNcSuDOQQjg0zb+nvAOAu1/8wY6eJzv3f2322yXzl6uP1uc0GPb3bNKR7fAOu69qESxq7A6xCm4PcIjuHThXRKa6+BClC1JDsvGIOnCpi3/ECThfbOZZvpUuzKG2maoA/juQxfv56DuUUsfj+vnSKq4/d6WLKR5v4ZmtWla5T2ei9CyHBiwQvIpC4XO5ASLncwU/BcXdwpFwlrVG57gDHFAqxie7J4Eyh7vWnj4LttDvQKjzpbrFSCgpPuI+1F7i/Ou3uoMpRfM5q2DCSqrsfgGnq/zDj/g/tSPux7LvsSfdjJr0OHeAekKBDp3M/TNQ7rbRZOg6AzGvfI7J+fcLNBiJDTQE9eqGuKrY7GffOLwC8e/dl0udF+NSXmw9z/4cbK9z23I1dGN2zRbX83sskdUIEEr3ec9hx/bjz79+4w4Vfy+koax0yhrgzQ+cfdbcq2eww7yv3fnctAZMRwhrSJCqeJuc/qztAOuIelt6pSQSYg2PGz0DlUoqfSxJTSnoA4WvXJ8UxpFMsi7dm0bJhOMktG/i7SuVI8CJEXWIwguGsRIWRzSGyOUaXi5tvds+/Y2zRsfyIovOe1wKj5peVhV+ZDXpev627VhbC10JMBm7s3tzf1TgneWwkhBBCCL/z5vNbQnYhhBBC1Cry2EiIIOFyudi+fTsAHTt2LMsqXaWDnXDQPcya5j0lz5afOV2KjZnukWKXxjeQeXJE0JGWFyGChMPh4NNPP+XTTz/F4fBu0iocxfDOUPdynhFNomZYHU5ufmMdN7+xDqvD/5M/ClHTpOVFCFEFOohuXVYWfqVDR6uGYVpZiGAjwYsQonLmMLi/4nkfRM0LNRtY8dAAf1dDCL8JyMdGI0eOpEGDBtx8883+rooQQgghAkxABi/3338/7733nr+rIYQQQogAFJDBy4ABA6hXr56/qyGEKGUvhvdHuRe7dNj1t2K7k7vm/cJd836h2C4ddkXw8Tp4WbVqFcOHDycuLg6dTsfnn39ebp9Zs2aRkJBASEgIycnJrF692hd1FUL4i3LCrmXuRcmHpb+5lGL5jmMs33FM0gOIoOR1h92CggKSkpK46667uOmmm8ptX7BgAVOmTGHWrFlcccUVvPnmm6SkpLBt2zbi4+MBSE5Oxmq1ljt22bJlxMVVkvdFCHFBDAYDI0aM0MreHWyGEbPKysKvTAY9/765q1YWIthcVHoAnU7HokWLuOGGG7R1vXr1onv37syePVtb17FjR2644QZSU1OrfO4VK1bw2muv8emnn553P6vV6hEI5eXl0aJFC0kPIIQQQtQifksPYLPZSE9PZ8iQIR7rhwwZwtq1a315KU1qaiqRkZHa0qJFi2q5jhBCCCECg0+Dl+PHj+N0OomNjfVYHxsby5EjR6p8nqFDhzJq1CgWL15M8+bN+fXXX8+577Rp08jNzdWWAwcOXHD9hajLXC4XO3fuZOfOnbhcLi8PdkLWFvfikj4v/uZ0KX4/nMvvh3NxuqTPiwg+1TJJnU7nOeOjUqrcuvNZunRplfe1WCxYLJYq7y9EsHI4HHz44YeAO+g3m73ou+Iohjf7usuPHAZzeDXUUFSV1eHkuv/7EYBtM4YSZpb5RkVw8elPfExMDAaDoVwrS3Z2drnWGCFEbaKDek3LysKvdOiIrW/RykIEG58GL2azmeTkZNLS0hg5cqS2Pi0tTRvlIISohcxh8Pc//F0LUSLUbODnR672dzWE8Buvg5f8/Hx2796tvc7IyGDTpk1ER0cTHx/P1KlTGTt2LD169KB3797MmTOHzMxMJk6c6NOKCyGEECI4eR28rF+/ngEDyhKCTZ06FYBx48Yxf/58Ro8ezYkTJ5gxYwZZWVkkJiayePFiWrZs6btaCyGEECJoeR28XHXVVVQ2NcykSZOYNGnSBVdKCBFg7MWw6M/u8sg5YArxb32CXLHdydSPNwHw0i3dCDF5OemgELWcTM0ohKiccsK2L9yLpAfwO5dSLN56hMVbj0h6ABGUZHydEEHCYDCQkpKilb072AzXziwrC78yGfTMGNFZKwsRbC4qPUAg8mZ6YSGEEEIEBr+lBxBCCCGEqG7y2EiIIOFyucjMzAQgPj4evd6L/11cLjiV4S43SABvjhU+53Ip9p8sBKBldBh6vUxUJ4KL/AUSIkg4HA7effdd3n33XRwOh5cHF8Gr3d2Lo6h6KiiqrNjhZMDMFQyYuYJih3SgFsFHWl6EEFVjifR3DcQZ6oXIn28RvOSnXwhROXM4TMv0dy1EiTCzka1PDvV3NYTwG3lsJIQQQohaRYIXIYQQQtQqErwIISrnsMKiv7oXh9XftQl6VoeTv3+8mb9/vBmrdNgVQUiCFyFE5VwO2PyBe3F5OVJJ+JzTpfhsw0E+23AQp6tOzTMqRJVIh10hgoTBYODqq6/Wyl7Rm2DwjLKy8CujXs+0lA5aWYhgI+kBhBBCCOF3kh5ACCGEEHWWPDYSIki4XC6ysrIAaNq0qffpAfKPuMsRTSQ9gJ+5XIrs0+6O043rWSQ9gAg68hdIiCDhcDh46623eOutty4sPcBLHd2LpAfwu2KHk8tTv+fy1O8lPYAIStLyIoSoGr38uQgkRmltEUFM/hoJISpnDofHT/i7FqJEmNnI7mev9Xc1hPAbeWwkhBBCiFpFghchhBBC1Cry2EgIUTmHFZY+4i4PfRaMFv/WJ8hZHU6e/no7AI8O64jF6OWkg0LUctLyIoSonMsBv77lXiQ9gN85XYr//rSf//60X9IDiKAkLS9CBAmDwUD//v21slf0Juj/cFlZ+JVRr+eBQW21shDBRtIDCCGEEMLvJD2AEEIIIeoseWwkRJBQSnHs2DEAGjVqhE7nxSRnSkFxrrscEgneHCt8TilFXrG771H9EKN376UQdUDAtbycPn2anj170q1bN7p06cLcuXP9XSUh6gS73c7s2bOZPXs2drvdy4ML4fmW7sVeWD0VFFVWZHeS9NQykp5aRpFd0gOI4BNwLS9hYWGsXLmSsLAwCgsLSUxM5MYbb6Rhw4b+rpoQQgghAkDABS8Gg4GwsDAAiouLcTqd1LE+xULUPqYweOy4uyw5jvwu1GRg1zMpgOQ4EsHJ68dGq1atYvjw4cTFxaHT6fj888/L7TNr1iwSEhIICQkhOTmZ1atXe3WNnJwckpKSaN68Of/4xz+IiYnxtppCCF/S6cBgci/Sv8LvdDodJoMek0Ev/V1EUPI6eCkoKCApKYnXXnutwu0LFixgypQpTJ8+nY0bN9K3b19SUlLIzMzU9klOTiYxMbHccvjwYQCioqLYvHkzGRkZfPDBBxw9evQCb08IIYQQdY3X7b8pKSmkpKScc/tLL73E+PHjmTBhAgAvv/wyS5cuZfbs2aSmpgKQnp5epWvFxsbStWtXVq1axahRoyrcx2q1YrVatdd5eXlVvRUhRFU5bPDDDHd54ONgNPu3PkHO5nAxc9kOAB4c0h6zMeDGXghRrXz6E2+z2UhPT2fIkCEe64cMGcLatWurdI6jR49qAUheXh6rVq2iffv259w/NTWVyMhIbWnRosWF34AQomIuO6x91b24vBypJHzO4XIxZ9Ve5qzai8Pl8nd1hKhxPu15d/z4cZxOJ7GxsR7rY2NjOXLkSJXOcfDgQcaPH49SCqUUkydPpmvXrufcf9q0aUydOlV7nZeXJwGMEBUwGAz07t1bK3tFb4I+95WVhV8Z9Xr+3K+1VhYi2FTLsIGzO5ApparcqSw5OZlNmzZV+VoWiwWLRTLcClEZg8FQrlW0yoxmGPK0byskLpjZqOeRazv6uxpC+I1PQ/aYmBgMBkO5Vpbs7OxyrTFCCCGEEBfCp8GL2WwmOTmZtLQ0j/VpaWn06dPHl5cSQnhJKUVOTg45OTnez52kFDjt7kXmXfI7pRR2pwu70yXzYImg5PVjo/z8fHbv3q29zsjIYNOmTURHRxMfH8/UqVMZO3YsPXr0oHfv3syZM4fMzEwmTpzo04oLIbxjt9t55ZVXAHdfMbPZixFD9kJ4Ns5dfuQwmMOroYaiqorsTjo9vhSAbTOGEmaWiQNFcPH6J379+vUMGDBAe13aWXbcuHHMnz+f0aNHc+LECWbMmEFWVhaJiYksXryYli1b+q7WQgghhAhaOlXH2hzz8vKIjIwkNzeX+vXr+7s6QgQMm82mzbXkdcuLZJUOKJJVWtRF3nx+S1ujEKJyOh2ERvm7FqKETqcjMlSGrIvgJRMECCGEEKJWkZYXIUTlHDZY/aK73Pfvkh7Az2wOF68vdw+cuHfAJZIeQAQdCV6EEJVz2WHlc+7yFfcDErz4k8Pl4pXvdwHwl/6tMUsjuggyErwIEST0ej09evTQyt4dbISeE8rKwq8Meh1jL2+plYUINjLaSAghhBB+583nt7Q1CiGEEKJWkfZfIYKEUorCwkIAwsLCZG4QIUStJS0vQgQJu93OzJkzmTlzJna73buDbQUwo6F7sRVUTwVFlRXaHFzyyGIueWQxhTaHv6sjRI2TlhchRNW45EMykDhcdaq7ohBekeBFCFE5YyhM3V5WFn4VYjTw07RBWlmIYCPBixCicno91I/zdy1ECb1eR5PIEH9XQwi/kT4vQgghhKhVpOVFCFE5hw1+nu0u9/qrpAfwM5vDxbw1GQDcdUWCpAcQQUeCFyFE5Vx2SHvcXe45AUkP4F8Ol4vUb/8AYGzvlpIeQAQdCV6ECBJ6vZ6kpCSt7N3BRki6raws/Mqg13FT9+ZaWYhgI+kBhBBCCOF3kh5ACCGEEHWWtP8KESSUUtrMuiaTSdIDCCFqLWl5ESJI2O12UlNTSU1NvbD0AKnx7kXSA/hdoc1BlyeX0uXJpZIeQAQlaXkRQlSNNdffNRBnOF0sQYsIXhK8CCEqZwyF+zaUlYVfhRgNLH/wKq0sRLCR4EUIUTm9Hhq28XctRAm9XkdCTLi/qyGE30ifFyGEEELUKtLyIoSonNMO6fPd5eQ7wWDyZ22Cnt3p4sNfMgG49bJ4TAb5P1QEFwlehBCVc9pg8YPucrfbJHjxM7vTxeNf/A7AzcnNJXgRQUeCFyGChF6vp1OnTlrZKzoDdBpRVhZ+pdfpuLZLE60sRLAJyPQARqORxMREAHr06MFbb71V5WMlPYAQQghR+3jz+R2QLS9RUVFs2rTJ39UQQgghRACSB6VCCCGEqFW8Dl5WrVrF8OHDiYuLQ6fT8fnnn5fbZ9asWSQkJBASEkJycjKrV6/26hp5eXkkJydz5ZVXsnLlSm+rKISogM1m46mnnuKpp57CZrN5eXAhvNjBvdgKq6eCosqKbE56PfsdvZ79jiKb09/VEaLGef3YqKCggKSkJO666y5uuummctsXLFjAlClTmDVrFldccQVvvvkmKSkpbNu2jfj4eACSk5OxWq3ljl22bBlxcXHs27ePuLg4fvvtN6677jq2bt0q/VeE8CsFp7PKysKvFIqjeVatLESw8Tp4SUlJISUl5ZzbX3rpJcaPH8+ECRMAePnll1m6dCmzZ88mNTUVgPT09PNeIy4uDoDExEQ6derEzp076dGjR4X7Wq1Wj0AoLy/Pq/sRQlSBMQT+srqsLPzKYjTwzf1XamUhgo1P+7zYbDbS09MZMmSIx/ohQ4awdu3aKp3j1KlTWjBy8OBBtm3bRuvWrc+5f2pqKpGRkdrSokWLC78BIUTF9AZo2tW96OXD0t8Meh2d4yLpHBeJQS9DpUXw8Wnwcvz4cZxOJ7GxsR7rY2NjOXLkSJXOsX37dnr06EFSUhLDhg3jlVdeITo6+pz7T5s2jdzcXG05cODARd2DEEIIIQJbtQyV1p01aZJSqty6c+nTpw9bt26t8rUsFgsWi8Wr+gkhvOS0w5aP3eWut8gMu35md7r4fOMhAG64tJnMsCuCjk+Dl5iYGAwGQ7lWluzs7HKtMUKIWsRpgy8mucudb5Dgxc/sThcPfboFgOu6NpXgRQQdnwYvZrOZ5ORk0tLSGDlypLY+LS2NESNG+PJSQggv6fV62rZtq5W9ojNA2yFlZeFXep2OAe0baWUhgo3XwUt+fj67d+/WXmdkZLBp0yaio6OJj49n6tSpjB07lh49etC7d2/mzJlDZmYmEydO9GnFhRDeMRqN3HbbbRd2sCkExnzi2wqJCxZiMjDvrsv8XQ0h/Mbr4GX9+vUMGDBAez116lQAxo0bx/z58xk9ejQnTpxgxowZZGVlkZiYyOLFi2nZsqXvai2EEEKIoBWQiRkvhiRmFEIIIWqfWp+YUQjhezabjZkzZwLw4IMPYjabvTi4EN64wl2euAbMYdVQQ1FVRTYnKa+sAuDbB/oRapZ+SCK4SPAiRBCx2+0XeKSCk3vLysKvFIp9Jwq1shDBRoIXIUTljCFw99KysvAri9HApxN7a2Uhgo0EL0KIyukNEH+5v2shShj0Onq0OvfM40LUdTKzkRBCCCFqFWl5EUJUzumAP75ylzsMB4P86fAnh9PF0t+PAjC0cyxGmWFXBBn5CySEqJzTCp/c6S4/cliCFz+zOV3c+8EGALbNGCrBiwg68hdIiCCh0+m0ySKrmii17GA9tLyyrCz8Sq/T0SshWisLEWxkkjohhBBC+J03n9/yL5QQQgghahUJXoQQQghRq0ifFyGChM1m45VXXgHggQce8C49gL0I3hrsLk9IA1NoNdRQVFWx3cnIWWsBWDSpDyEmmahOBBcJXoQIIoWFhRd2oHLB0a1lZeFXLqXYnpWnlYUINhK8CCEqZwyBsYvKysKvLEYD/x1/mVYWIthI8CKEqJzeAG0G+rsWooRBr6Nv20b+roYQfiMddoUQQghRq0jLixCick4H7PneXW4zSGbY9TOH08WqXccA6Ne2kcywK4KO/AUSQlTOaYUPbnGXJT2A39mcLu6evx6Q9AAiOMlfICGChE6nIy4uTit7d7Ae4i4tKwu/0ut0dG0eqZWFCDaSHkAIIYQQfifpAYQQQghRZ0nwIoQQQohaRfq8CBEk7HY7r7/+OgD33nsvJpPJi4OL4L0R7vIdX0h6AD8rtjsZ89bPALw/oZekBxBBR4IXIYKEUorc3Fyt7N3BLjjwc1lZ+JVLKdL3n9LKQgQbCV6EEJUzWGD0+2Vl4Vdmg543xyZrZSGCjQQvQojKGYzQcZi/ayFKGA16hnZu4u9qCOE3ErILIYQQolYJuOBlx44ddOvWTVtCQ0P5/PPP/V0tIYKbywkZq92Ly+nv2gQ9p0uxbs8J1u05gdMlfV5E8Am4x0bt27dn06ZNAOTn59OqVSsGDx7s30oJEewcxfBuyWOjRw6DOdy/9QlyVoeTW+f+BLjTA4SZA+5PuRDVKqB/4r/88ksGDRpEeLj8oRTiYul0Oho1aqSVvTwaGnUoKwu/0qGjbeMIrSxEsPH6sdGqVasYPnw4cXFx6HS6Ch/pzJo1i4SEBEJCQkhOTmb16tUXVLmPP/6Y0aNHX9CxQghPJpOJSZMmMWnSJO/meAEwh8G9P7sXc1j1VFBUWajZQNrU/qRN7U+oWeZ4EcHH6+CloKCApKQkXnvttQq3L1iwgClTpjB9+nQ2btxI3759SUlJITMzU9snOTmZxMTEcsvhw4e1ffLy8lizZg3XXnvtBdyWEEIIIeqqi0rMqNPpWLRoETfccIO2rlevXnTv3p3Zs2dr6zp27MgNN9xAampqlc/93//+l6VLl/K///3vvPtZrVasVqv2Oi8vjxYtWkhiRiGEEKIW8VtiRpvNRnp6OkOGDPFYP2TIENauXevVuar6yCg1NZXIyEhtadGihVfXESJY2O12Zs2axaxZs7Db7V4eXJIe4L0R7rLwq2K7k9vf+pnb3/qZYruM/hLBx6fBy/Hjx3E6ncTGxnqsj42N5ciRI1U+T25uLr/88gtDhw6tdN9p06aRm5urLQcOHPC63kIEA6UUx44d49ixYxeWHmDvCvci6QH8zqUUP+4+zo+7j0t6ABGUqmW00dkjGZRSXo1uiIyM5OjRo1Xa12KxYLHIdOVCVCuDBW6cW1YWfmU26Hl5dDetLESw8WnwEhMTg8FgKNfKkp2dXa41RghRixiM0PUWf9dClDAa9NxwaTN/V0MIv/FpyG42m0lOTiYtLc1jfVpaGn369PHlpYQQQggRpLxuecnPz2f37t3a64yMDDZt2kR0dDTx8fFMnTqVsWPH0qNHD3r37s2cOXPIzMxk4sSJPq24EKIGuZyQtcldbtoN9DK3iD85XYrfDuUCkNgsEoNeJqoTwcXr4GX9+vUMGDBAez116lQAxo0bx/z58xk9ejQnTpxgxowZZGVlkZiYyOLFi2nZsqXvai2EqFmOYpg70F2W9AB+Z3U4GfH6GkDSA4jg5PVP/FVXXVXpSIXSWTyFEIFDp9MRGRmplb08GiLjy8rCr3ToaBYVqpWFCDYXNUldIPJmkhshhBBCBAa/TVInhBBCCFHdJHgRQgghRK0ivbyECBJ2u5358+cDcOedd3qXWdpeDJ/e7S7f/A6YQnxfQVFlxXYn9324EYBXb72UEJOM/hLBRYIXIYKEUkrL3O59egAn7PimrCz8yqUUaduOamUhgo0EL0KIyhnMMPyVsrLwK5NBT+qNXbSyEMFGghchROUMJki+09+1ECVMBj23XhZf+Y5C1FESsgshhBCiVpGWFyFE5VwuOL7DXY5pD3r5v8efXC7F7mP5AFzSKAK9pAcQQUaCFyFE5RxFMOtyd1nSA/hdscPJkP+sAiQ9gAhO8hMvRBAJCwu7iIMb+q4i4qJFh0vHaRG8JD2AEEIIIfxO0gMIIYQQos6S4EUIIYQQtYr0eREiSNjtdt5//30AxowZ4316gC8nu8vXvybpAfys2O7kn59tAeD5m7pKegARdKTlRYggoZRi//797N+//8LSA2z9xL1IegC/cynFF5sO88Wmw5IeQAQlaXkRQlTOYIahqWVl4Vcmg57HhnXSykIEGwlehBCVM5ig9yR/10KUMBn0jL8ywd/VEMJvJGQXQgghRK0iLS9CiMq5XJB7wF2ObCHpAfzM5VIcyikCoFlUqKQHEEFHghchROUcRfBKV3dZ0gP4XbHDSd8XlgOSHkAEJ/mJFyKIeDU8utzBF5FaQPhcqAyPFkFM0gMIIYQQwu8kPYAQQggh6iwJXoQQQghRq0ifFyGChMPh4OOPPwbglltuwWj04tffYYXFD7rL184Eo6Uaaiiqyupw8sQXvwPw1IjOWIzS/0UEF2l5ESJIuFwudu3axa5du3C5XF4e7IAN77kXl6N6KiiqzOlSfPTrAT769QBOV53qtihElQRky8vMmTOZN28eOp2Ohx9+mNtvv93fVRIiuOlNMPDRsrLwK6Nez4ND2mllIYJNwAUvW7du5YMPPiA9PR2AQYMGMWzYMKKiovxbMSGCmdEM/R7ydy1ECbNRz+SBbf1dDSH8JuBC9u3bt9OnTx9CQkIICQmhW7duLFmyxN/VEkIIIUSA8Dp4WbVqFcOHDycuLg6dTsfnn39ebp9Zs2aRkJBASEgIycnJrF69usrnT0xMZPny5eTk5JCTk8MPP/zAoUOHvK2mEMKXlIKC4+6lbk0NVSsppTiRb+VEvpU6NlWXEFXi9WOjgoICkpKSuOuuu7jpppvKbV+wYAFTpkxh1qxZXHHFFbz55pukpKSwbds24uPjAUhOTsZqtZY7dtmyZXTq1In777+fgQMHEhkZSc+ePb0bFSGE8D17Ify7jbss6QH8rsjuJPnp7wBJDyCCk9c/8SkpKaSkpJxz+0svvcT48eOZMGECAC+//DJLly5l9uzZpKamAmj9Wc7lL3/5C3/5y18AmDBhApdccsk597VarR6BUG5uLuCeqU8IUcZms1FcXAy4fz/MZrMXBxeAteQ//Lw8MDuroYaiqgptDlzWQsD9XjokeBF1QOnndpVaE9VFANSiRYu011arVRkMBrVw4UKP/e6//37Vr1+/Kp/36NGjSiml/vjjD9WlSxdlt9vPue8TTzyhAFlkkUUWWWSRpQ4sBw4cqDRO8Gm4fvz4cZxOJ7GxsR7rY2NjOXLkSJXPc8MNN5CTk0N4eDjz5s0772OjadOmMXXqVO21y+Xi5MmTNGzYEJ3Ot2ni8/LyaNGiBQcOHKiTeZPq+v1B3b9Hub/ar67fo9xf7Vdd96iU4vTp08TFxVW6b7W0NZ4dNCilvAok1q5dW+V9LRYLFovnbJ/VPay6fv36dfaHEur+/UHdv0e5v9qvrt+j3F/tVx33GBkZWaX9fDpUOiYmBoPBUK6VJTs7u1xrjBBCCCHEhfBp8GI2m0lOTiYtLc1jfVpaGn369PHlpYQQQggRpLx+bJSfn8/u3bu11xkZGWzatIno6Gji4+OZOnUqY8eOpUePHvTu3Zs5c+aQmZnJxIkTfVpxf7BYLDzxxBPlHlPVFXX9/qDu36PcX+1X1+9R7q/2C4R71JWMGqqyFStWMGDAgHLrx40bx/z58wH3JHUvvPACWVlZJCYm8p///Id+/fr5pMJCCCGECG5eBy9CCCGEEP4UcLmNhBBCCCHOR4IXIYQQQtQqErwIIYQQolaR4KWKLiZTtj+lpqbSs2dP6tWrR+PGjbnhhhvYsWOHxz533nknOp3OY7n88ss99rFardx3333ExMQQHh7O9ddfz8GDB2vyVir05JNPlqt7kyZNtO1KKZ588kni4uIIDQ3lqquu4vfff/c4R6DeW6lWrVqVu0edTse9994L1L73r7LM9L56z06dOsXYsWOJjIwkMjKSsWPHkpOTU813d/77s9vt/POf/6RLly6Eh4cTFxfHHXfcweHDhz3OcdVVV5V7T//0pz8FxP1B5e+hr34mA/E9BCr8fdTpdPz73//W9gnk97AqnwuB/nsowUsVlGbKnj59Ohs3bqRv376kpKSQmZnp76pVauXKldx777389NNPpKWl4XA4GDJkCAUFBR77XXPNNWRlZWnL4sWLPbZPmTKFRYsW8dFHH/Hjjz+Sn5/PsGHDcDr9n6Cvc+fOHnXfunWrtu2FF17gpZde4rXXXuPXX3+lSZMmDB48mNOnT2v7BPK9Afz6668e91c6j9KoUaO0fWrT+1eamf61116rcLuv3rPbbruNTZs2sWTJEpYsWcKmTZsYO3asX++vsLCQDRs28Nhjj7FhwwYWLlzIzp07uf7668vte88993i8p2+++abHdn/dH1T+HoJvfiYD8T0EPO4rKyuLd955B51Ox0033eSxX6C+h1X5XAj438MqZ0sMYpdddpmaOHGix7oOHTqohx9+2E81unDZ2dkKUCtXrtTWjRs3To0YMeKcx+Tk5CiTyaQ++ugjbd2hQ4eUXq9XS5Ysqc7qVuqJJ55QSUlJFW5zuVyqSZMm6rnnntPWFRcXq8jISPXGG28opQL73s7lgQceUG3atFEul0spVbvfP/BM7uqr92zbtm0KUD/99JO2z7p16xSg/vjjj2q+qzJn319FfvnlFwWo/fv3a+v69++vHnjggXMeEyj3p1TF9+iLn8lAuceqvIcjRoxQAwcO9FhXm97Dsz8XasPvobS8VMJms5Gens6QIUM81g8ZMsSrHEyBIjc3F4Do6GiP9StWrKBx48a0a9eOe+65h+zsbG1beno6drvd43sQFxdHYmJiQHwPdu3aRVxcHAkJCfzpT39i7969gHsCxSNHjnjU22Kx0L9/f63egX5vZ7PZbPzvf//j7rvv9sgXVpvfvzP56j1bt24dkZGR9OrVS9vn8ssvJzIyMuDuOTc3F51OVy4n2/vvv09MTAydO3fmwQcf9PiPtzbc38X+TNaGewQ4evQo33zzDePHjy+3rba8h2d/LtSG38NqScxYl/gqU3YgUEoxdepUrrzyShITE7X1KSkpjBo1ipYtW5KRkcFjjz3GwIEDSU9Px2KxcOTIEcxmMw0aNPA4XyB8D3r16sV7771Hu3btOHr0KE8//TR9+vTh999/1+pW0Xu3f/9+gIC+t4p8/vnn5OTkcOedd2rravP7dzZfvWdHjhyhcePG5c7fuHHjgLrn4uJiHn74YW677TaPBHdjxowhISGBJk2a8NtvvzFt2jQ2b96sPTIM9Pvzxc9koN9jqXfffZd69epx4403eqyvLe9hRZ8LteH3UIKXKrrYTNmBYPLkyWzZsoUff/zRY/3o0aO1cmJiIj169KBly5Z888035X4hzxQI34OUlBSt3KVLF3r37k2bNm149913tQ6CF/LeBcK9VeTtt98mJSXFI2V8bX7/zsUX71lF+wfSPdvtdv70pz/hcrmYNWuWx7Z77rlHKycmJtK2bVt69OjBhg0b6N69OxDY9+ern8lAvsdS77zzDmPGjCEkJMRjfW15D8/1uQCB/Xsoj40qUVcyZd933318+eWXLF++nObNm59336ZNm9KyZUt27doFQJMmTbDZbJw6dcpjv0D8HoSHh9OlSxd27dqljTo633tXm+5t//79fPfdd0yYMOG8+9Xm989X71mTJk04evRoufMfO3YsIO7Zbrdzyy23kJGRQVpamkerS0W6d++OyWTyeE8D+f7OdiE/k7XhHlevXs2OHTsq/Z2EwHwPz/W5UBt+DyV4qURtz5StlGLy5MksXLiQH374gYSEhEqPOXHiBAcOHKBp06YAJCcnYzKZPL4HWVlZ/PbbbwH3PbBarWzfvp2mTZtqTbZn1ttms7Fy5Uqt3rXp3ubNm0fjxo257rrrzrtfbX7/fPWe9e7dm9zcXH755Rdtn59//pnc3Fy/33Np4LJr1y6+++47GjZsWOkxv//+O3a7XXtPA/n+KnIhP5O14R7ffvttkpOTSUpKqnTfQHoPK/tcqBW/hxfV3TdIfPTRR8pkMqm3335bbdu2TU2ZMkWFh4erffv2+btqlfrrX/+qIiMj1YoVK1RWVpa2FBYWKqWUOn36tPr73/+u1q5dqzIyMtTy5ctV7969VbNmzVReXp52nokTJ6rmzZur7777Tm3YsEENHDhQJSUlKYfD4a9bU0op9fe//12tWLFC7d27V/30009q2LBhql69etp789xzz6nIyEi1cOFCtXXrVnXrrbeqpk2b1op7O5PT6VTx8fHqn//8p8f62vj+nT59Wm3cuFFt3LhRAeqll15SGzdu1Ebb+Oo9u+aaa1TXrl3VunXr1Lp161SXLl3UsGHD/Hp/drtdXX/99ap58+Zq06ZNHr+TVqtVKaXU7t271VNPPaV+/fVXlZGRob755hvVoUMHdemllwbE/VV2j778mQzE97BUbm6uCgsLU7Nnzy53fKC/h5V9LigV+L+HErxU0euvv65atmypzGaz6t69u8dQ40AGVLjMmzdPKaVUYWGhGjJkiGrUqJEymUwqPj5ejRs3TmVmZnqcp6ioSE2ePFlFR0er0NBQNWzYsHL7+MPo0aNV06ZNlclkUnFxcerGG29Uv//+u7bd5XKpJ554QjVp0kRZLBbVr18/tXXrVo9zBOq9nWnp0qUKUDt27PBYXxvfv+XLl1f4Mzlu3DillO/esxMnTqgxY8aoevXqqXr16qkxY8aoU6dO+fX+MjIyzvk7uXz5cqWUUpmZmapfv34qOjpamc1m1aZNG3X//ferEydOBMT9VXaPvvyZDMT3sNSbb76pQkNDVU5OTrnjA/09rOxzQanA/z2UrNJCCCGEqFWkz4sQQgghahUJXoQQQghRq0jwIoQQQohaRYIXIYQQQtQqErwIIYQQolaR4EUIIYQQtYoEL0IIIYSoVSR4EUIIIUStIsGLEEIIIWoVCV6EEEIIUatI8CKEEEKIWkWCFyGEEELUKv8P72O1Wxvt45oAAAAASUVORK5CYII=", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Signals:\n", "852 : \t SleeperStayer (step)\n", "1295 : \t SleeperStayer (epsilon)\n", "\n", "Correct:\n", "852 : \t SleeperStayer (step)\n", "1295 : \t SleeperStayer (epsilon)\n", "\n" ] } ], "source": [ "martingales_sleeper_stayer = {\n", " \"SleeperStayer (epsilon)\" : SleeperStayer(bf = EpsilonBettingFunction()).apply(p_values),\n", " \"SleeperStayer (step)\" : SleeperStayer().apply(p_values),\n", "}\n", "\n", "plot_martingales(martingales_sleeper_stayer, change_point=t)" ] }, { "cell_type": "markdown", "id": "63b0ef30-1460-4362-a153-a5262a2679b4", "metadata": {}, "source": [ "### Sleeper/Drifter" ] }, { "cell_type": "markdown", "id": "034aa256-890e-47be-9a32-75a5da78e86c", "metadata": {}, "source": [ "Below we plot the martingales generated by `SleeperDrifter` for three betting functions. In addition to the `EpsilonBettingFuntion` and non-drifting `StepBettingFunction` that were used above, the latter is used also with drift, which is the default for Sleeper/Drifter. The `apply` method of the `StepBettingFunction` is called with a start index by default, when used within `SleeperDrifter`." ] }, { "cell_type": "code", "execution_count": 11, "id": "c54b4e4f-7ee4-4931-9668-cdb07b39fca5", "metadata": { "panel-layout": { "height": 700.9942626953125, "visible": true, "width": 100 } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Signals:\n", "853 : \t SleeperDrifter (step)\n", "854 : \t SleeperDrifter (step & drift)\n", "1294 : \t SleeperDrifter (epsilon)\n", "\n", "Correct:\n", "853 : \t SleeperDrifter (step)\n", "854 : \t SleeperDrifter (step & drift)\n", "1294 : \t SleeperDrifter (epsilon)\n", "\n" ] } ], "source": [ "martingales_sleeper_drifter = {\n", " \"SleeperDrifter (epsilon)\" : SleeperDrifter(bf = EpsilonBettingFunction()).apply(p_values),\n", " \"SleeperDrifter (step)\" : SleeperDrifter(bf = StepBettingFunction(), drift=False).apply(p_values),\n", " \"SleeperDrifter (step & drift)\" : SleeperDrifter(bf = StepBettingFunction()).apply(p_values),\n", "}\n", "\n", "plot_martingales(martingales_sleeper_drifter, change_point=t)" ] }, { "cell_type": "markdown", "id": "c1c93223-6981-447e-9169-a76a73fe59bc", "metadata": {}, "source": [ "### Composite martingale" ] }, { "cell_type": "markdown", "id": "2e11a325-cffc-4895-ad6c-c218b1a7ad00", "metadata": {}, "source": [ "We may also form a martingale by averaging the output of multiple martingales; this can be done using a `CompositeMartingale` which upon creation takes a list of martingales as input." ] }, { "cell_type": "code", "execution_count": 12, "id": "d4d46410-5369-484c-9989-1533b3dc9bf6", "metadata": { "panel-layout": { "height": 700.9942626953125, "visible": true, "width": 100 } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Signals:\n", "852 : \t SleeperStayer\n", "854 : \t Composite\n", "854 : \t SleeperDrifter\n", "\n", "Correct:\n", "852 : \t SleeperStayer\n", "854 : \t Composite\n", "854 : \t SleeperDrifter\n", "\n" ] } ], "source": [ "martingales = [SimpleJumper(), SleeperStayer(), SleeperDrifter()]\n", "\n", "martingales_composite = {\n", " \"SimpleJumper\" : martingales[0].apply(p_values),\n", " \"SleeperStayer\" : martingales[1].apply(p_values),\n", " \"SleeperDrifter\" : martingales[2].apply(p_values),\n", " \"Composite\" : CompositeMartingale(martingales).apply(p_values),\n", "}\n", "\n", "plot_martingales(martingales_composite, change_point=t)" ] }, { "cell_type": "markdown", "id": "0675f4ef-32a1-461f-b358-012a0ba287f1", "metadata": {}, "source": [ "## Real-world datasets" ] }, { "cell_type": "markdown", "id": "ed690604-4dff-416f-9cfd-a09deb76e1eb", "metadata": {}, "source": [ "We will also illustrate the generation of martingales using a couple of real-world dataset, for which we however do not know if there is any data drift; we will just rely on the ability of the algorithms to control the false alarm rate. We will re-use the threshold $c = 100$ that we set above, which means that the probability of observing a martingale higher than this is less than $1/c$ if the assumption of exchangeability holds. You may consider repeating the below investigations with randomly shuffled datasets for which you should not expect to detect any data drift (assuming that a sufficiently large $c$ has been chosen)." ] }, { "cell_type": "markdown", "id": "2e024a64-d216-4080-9830-7a49e1996b68", "metadata": {}, "source": [ "### House pricing" ] }, { "cell_type": "markdown", "id": "6db9c40c-7eff-47a7-a57f-f0bdee59d790", "metadata": {}, "source": [ "We first import the house sales dataset from [www.openml.org](https://www.openml.org/), and sort it based on year, month and day, after which these features are removed. We devise a training set from the 10 000 first instances and put the remaining instances in the test set. " ] }, { "cell_type": "code", "execution_count": 13, "id": "0f3b8a39-12a7-47d6-8fe0-5114a0d7cea5", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X_train: (10000, 18)\n", "y_train: (10000,)\n", "X_test: (11613, 18)\n", "y_test: (11613,)\n" ] } ], "source": [ "np.random.seed(2025)\n", "\n", "dataset = fetch_openml(name=\"house_sales\", version=3, parser=\"auto\")\n", "\n", "sorted_index = dataset.data.sort_values([\"date_year\", \n", " \"date_month\", \n", " \"date_day\"]).index\n", "\n", "# Uncomment the following if you want to investigate what happens when \n", "# the dataset is randomly shuffled\n", "\n", "#sorted_index = np.random.choice(np.arange(len(dataset.data)), \n", "# len(dataset.data), \n", "# replace=False)\n", "\n", "X = dataset.data.loc[sorted_index].drop([\"date_year\", \n", " \"date_month\", \n", " \"date_day\"], \n", " axis=\"columns\").values.astype(float)\n", "\n", "y = dataset.target.loc[sorted_index].values.astype(float)\n", "\n", "test_start = 10000\n", "\n", "X_train = X[:test_start]\n", "y_train = y[:test_start]\n", "X_test = X[test_start:]\n", "y_test = y[test_start:]\n", "\n", "print(f\"X_train: {X_train.shape}\")\n", "print(f\"y_train: {y_train.shape}\")\n", "print(f\"X_test: {X_test.shape}\")\n", "print(f\"y_test: {y_test.shape}\")" ] }, { "cell_type": "markdown", "id": "87f83cdf-640d-4c75-9278-89a5fdb1ae78", "metadata": {}, "source": [ "We wrap a `RandomForestRegressor`, fit it using the training set, and then form a conformal predictive system with an initially empty calibration set.\n", "The calibration set is extended with each test instance in turn, after having generated a p-value for it, i.e., the p-values are computed in the semi-online mode." ] }, { "cell_type": "code", "execution_count": 14, "id": "0b59825f-18d6-4c9a-ad3e-f4631c3b71b8", "metadata": {}, "outputs": [], "source": [ "rf = WrapRegressor(RandomForestRegressor(n_jobs=-1))\n", "\n", "rf.fit(X_train, y_train)\n", "\n", "rf.calibrate(cps=True)\n", "\n", "p_values = rf.predict_p(X_test, y_test, online=True)" ] }, { "cell_type": "markdown", "id": "d9a6ee6e-e30d-4260-85fb-b11688cd7b89", "metadata": {}, "source": [ "Below we plot the martingales generated from this sequence of p-values, using the same set of algorithms as used above." ] }, { "cell_type": "markdown", "id": "b94eed90-2831-40eb-ab87-12d8be5e1a1a", "metadata": {}, "source": [ "### Simple Jumper" ] }, { "cell_type": "markdown", "id": "c0984fd8-c9c8-47f2-9a64-2048e265599e", "metadata": {}, "source": [ "In addition to using two alternative betting functions with `SimpleJumper`, we also compare the default jumping rate ($J = 0.01$) to one that may work better for longer sequences with no drift, i.e., $J = 0.0001$." ] }, { "cell_type": "code", "execution_count": 15, "id": "cdd81eb0-7678-4aa7-bf43-9e9f88caacde", "metadata": { "panel-layout": { "height": 700.9942626953125, "visible": true, "width": 100 } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Signals:\n", "6508 : \t SimpleJumper (epsilon, J = 0.0001)\n", "6650 : \t SimpleJumper (step, J = 0.0001)\n", "7633 : \t SimpleJumper (epsilon)\n", "8683 : \t SimpleJumper (step)\n", "\n" ] } ], "source": [ "martingales_simple_jumper = {\n", " \"SimpleJumper (epsilon)\" : SimpleJumper().apply(p_values),\n", " \"SimpleJumper (step)\" : SimpleJumper(bf = StepBettingFunction()).apply(p_values),\n", " \"SimpleJumper (epsilon, J = 0.0001)\" : SimpleJumper(J = 0.0001).apply(p_values),\n", " \"SimpleJumper (step, J = 0.0001)\" : SimpleJumper(J = 0.0001, bf = StepBettingFunction()).apply(p_values),\n", "}\n", "\n", "plot_martingales(martingales_simple_jumper)" ] }, { "cell_type": "markdown", "id": "83615dcb-84fc-431b-a5ba-a468dbae06b3", "metadata": {}, "source": [ "### Sleeper/Stayer" ] }, { "cell_type": "markdown", "id": "1059d36a-c415-443c-be51-483790e5bd3c", "metadata": {}, "source": [ "We use the two betting functions also with `SleeperStayer`, and compare using the default investment rate ($R = 0.001$) with $R = 0.0001$." ] }, { "cell_type": "code", "execution_count": 16, "id": "dbf9258a-335a-454f-bb0e-540df0e28bc6", "metadata": { "panel-layout": { "height": 700.9942626953125, "visible": true, "width": 100 } }, "outputs": [ { "data": { "image/png": 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DsWzZMiQkJGD69On2bgpjjAGwpKGI2fQNACBs5NQqrMhshvjPdpy6mYm0Zr3QK7B5qSsyA8AlL6A5yeFrNsMIJTLU3jbHlS7NK9cWxliF2T3oOXr0KPr162d9HhVluY8+efJkrFq1ChMmTEBqairmz5+PxMREhISEYMuWLWjZsqW9m8IYYwAsaShc3rCsHWYY9HDV0lCsfRihuJOGYn7JaSgMly4DAFrfArqbLON5DFBg39lkoNCwRkdVnV4Yn7EGxe6/bX379rWZtVCc5557Ds8995y9L80YY8WSyeW44WNZ/K/KaSiad8LF2zlo18K11DQUyQsXWrd1+SkAACOU6NHaDbh8t5xcVkYqC8aY3fBXDMZYg+egc8XAv+yQsVypheyZaNwP4OcKnKa680XQTHI83buNTdDDGKs5NTqQmTHGGgu5m5t1uyDnFkFAl5acY4ux2sJBD2OMVQMxLc26XdDTc5+XE2R8O4uxWsNBD2OswcvLycCfQ7rgzyFdqp6G4utBOPteOB5ZsqvcaSiOq1UAgH9uZQMAZpumwkhyTDHyVHXGahKP6WGMNXiSKML3Sq51u9JIguz6YQQBiEtIKzUNRWHHNJZV4wv6eH4QB+BnsQ9M/BHMWI3i3zjGWIOn1joibZ5lReb7tI6Vr0iuhjjufzhxIxOLmneHqoTp6pLBYPO8b14+AOA6NbXu44CHsZrHv3WMsQZPqdKg5yNRVa9IroC83Qh0ald6sdy9e63bf3YS8ExGFgAgEe5VbwNjrNJ4TA9jjNnZ7UX/Z93+6QEZnCQJAPDOyDKiJcZYteKghzHW4JlNRhz741sc++NbmE3GylckiRAv7cHpfb/jwD/JEKXix/QYzp+3bmfqBDiQJegJambJ8B7oZfk31Mel8m1hjFUY395ijDV4+rxsaF9eYNk+NAw6l0reZjLrIf92BNrhbhoKh3KkkShYp0e4s4Lztpd7V+76jLEq4aCHMdbgCTIBtzwt08b9qrROjgDJIxAJaXlo09QJAipWl4OqCikwGGNVxkEPY6zBc3RyQ989x6tekcoBshmH4Q/gtxKK5B46XOLp7bydq94Gxlil8Zgexhizo4TJk22er72RBAD4zDzGenuLMVY7OOhhjLFqcjAQaGu0DJxuFRBay61hjHHQwxhr8PJyMrB1VDi2jgqvchoKcfVInFzQF08s31NmGooOl++uwuzfwqvy12WM2QWP6WGMNXiSKKLluQzrdqWRBPnl3WgP4ODF22WmoXAoNDve5B5U+esyxuyCgx7GWIOn1jri1muPALBDGoqHvkJsQgY+aNGlxDQUxclUe1f+uowxu+CghzHW4ClVGvSd+lbVK5IrIO/4MLp0BLoUc5ju6fnJt8ySxxLzSLQwmKt+fcZYlfCYHsYYsxMymWye/99Iy0fsV+bhFeoVYoxVD+7pYYw1eGaTEWcPbgEABPV4EAqlqnIVSSLEG3G4eDsH+e4hCPF1g7zQYodktE1xEaTQAwAy4Yi+gZ6VuyZjzG446GGMNXj6vGzIn5pt2T7Uq2ppKL7pjwAUn4aC8vNtirtCRDK5YkwnH2h5NWbGah33tzLGGjxBJiDNVY40VzmEqqahcPFFIpqiuYtDkTQU2Tt32Tz/01kLR+TDQc0BD2N1Aff0MMYaPEcnN/Q8eKrqFakcIHv5FJoD2FnM4Xtvb6Wo5HAUDFArOOhhrC7gnh7GGLMTTdtgm+fNJcuMLbWCP2oZqwv4N5Exxuzk3tlbz2elAwA0Su7pYawu4KCHMdbg5edlYcv43tgyvjfy87IqX5FJD3HNI4j9cCieXbW/SBqKe29veZDluLxK44gYY/bCQQ9jrMETTSa0OnEbrU7chnhPb0yFkAj5+S3olLcf0WcTi6ShuDfoUQuW4+tjrlf+mowxu6mTA5kVCgVCQkIAAF26dMHXX39dyy1ijNVnKo0WN58fBQBoo9FWviK5CuZhn+HY1XTM8+kI5T0LDubsP2DdXj1AhhdhCXqyeTVmxuoEge5dN70O8PDwQEpKSqXOzcrKgouLCzIzM+Hs7GznljHGmC3TjRtIfOcduD/xBBKeeNK6f/xsBXZfvQ43ScLaB0/i4W5+tdhKxuq+mvj7XSd7ehhjrL64/nIU9CdOIHfP30WOaYhwQGzLqzEzVkfYfUzPnj17MGLECHh7e0MQBPzyyy9FyixZsgStWrWCRqNBWFgY/v7b9sMiKysLYWFheOCBB7B79257N5Ex1siIohn/xOzAPzE7IIpVuNUkSZCSzuBK/FGcT8qEJBH0J06UWFxJhLfMU6Dl2VuM1Ql2D3pyc3MRGhqKxYsXF3t83bp1mDlzJubOnYvY2Fj06tULQ4cORUJCgrXMlStXEBMTgy+//BKPP/44srKqMNuCMdbo5edkwjxxBswTZyA/J7PyFZnzIfsyHP7rBmDUZ39BbxZLLS4H8A/5wJFXZGasTrB70DN06FC8++67GDNmTLHHP/30U0ydOhXTpk1DcHAwPvvsM/j6+mLp0qXWMt7e3gCAkJAQtG3bFufPny/xegaDAVlZWTYPxhi7V7aDgGyHqk8dJ6070uGMJg5Fk5aaulomYKwaIMOKxFvWD1gFZ1hnrE6o0TE9RqMRMTExmDVrls3+wYMHY//+/QCA9PR0ODg4QK1W4/r16zhz5gxat25dYp0LFizAO++8U63tZozVbzoXd3Q7dqbqFakcIfz7EpoA2F/MYeURS6qLbAegq95Q9esxxuyqRr9+pKSkQBRFeHl52ez38vJCUlISACA+Ph5dunRBaGgohg8fjkWLFsHNza3EOmfPno3MzEzr49q1a9X6GhhjrCymQneznNQ8X4SxuqJWfhsFwbaLmYis+yIiInDy5Mly16VWq6FWq+3aPsYYK4/cw4fLLLP33/1roCWMsfKo0Z4eDw8PyOVya69OgeTk5CK9P4wxZi/5eVn47fGB+O3xgVVPQ/HTVBz9dCxeWXMQCY9PLrZYRIbl1tZxagMXB2Xlr8cYs6saDXpUKhXCwsKwfft2m/3bt29HRERETTaFMdaIiCYT2hy+gTaHb1Q9DcXpn9El6y9sOXGj5HJ3Plk1Aq/EzFhdYvfbWzk5Obhw4YL1+eXLlxEXFwc3Nzf4+fkhKioKkyZNQpcuXRAeHo5ly5YhISEB06dPt3dTGGMMgCUNRcITAwFUPQ2FOPh9HLmShtd82gO/FF/siIMaTwAIxNXKX4sxZnd2D3qOHj2Kfv36WZ9HRUUBACZPnoxVq1ZhwoQJSE1Nxfz585GYmIiQkBBs2bIFLVu2tHdTGGMMAKBSOyDy359XvSK5EvKI59EjAugBIL6EYhLPUGesTqqTubeqgnNvMcZqSnxQcLH7jw7TY5JTmuXJ21VYDJGxRqQm/n7z9xHGWIMnimZcOx+Da+djqp6GIu0Kbl45h2upOSUWa+qlBwDMMU2t/LUYY3bHC0gwxhq8/JxM5Ix8zLJ9aC90Lu6Vq8icD9n/hcIbQLB+BTYUU+RcC8AJlg70VqG9Kncdxli14J4exlijYFBaHlVFSgfkkRpaRfEfn289JofxzrpjuSLn3GKsLuGeHsZYg6dzcUfHkyUNO64AlSOEuYlwALD36FFc/bloEZIJyJFZgp4NJ1Iw85GqX5YxZh/c08MYY5Vw9bFJ1u18FSABeG+C5SNVcWd6iJH4eyVjdQn/RjLGWBXFtRbw39F3b2X5mi2DpQd18KutJjHGisFBD2OswTPk52D7SxMAAIMWrYNaq6tcRWYDxN9eQczVdDgV2k226QTR5U6G9TFdW1fuOoyxasFBD2OswTMZDWiz55J1u9JBj2SGPO47dAMQD2/rbqGE1c60Gk3lrsMYqxYc9DDGGjyVSosrD1vy+7VRVSENhUwJc9+5OHIlDa741bo7X3W3yLZrd3NyqdXqyl+LMWZ3HPQwxho8ldYBQ9/+puoVKVRQ9H0d4QDiP7gb9PzQ5+6cEG+zCADYIXZCOw56GKtTePYWY4xV0L3ZezJ1QpEyU02vQaPkj1jG6hLu6WGMNXiSJCEt6TIAwK1ZK8hklQxGiEC5KUjJyLbZ7SqKyJDLobgnGFIreHFCxuoSDnoYYw1eXnY6bvcfDgDQVCUNhSkPwsf3QWuWAWhm3f1lUjI+dmuCqLQMm+JKedEeIMZY7eGghzHGKkgv2QYz7YwmrExKttnnoVNDLuOgh7G6hG84M8YaPJ2LO4LPxiP4bHzle3kAQOUIvJ0J41O7rbveefTux+hN51AAwDLzMOyf1R+CwEEPY3UJBz2MMVZBxvxcAIBeCWR4S9b93lnHAQDxkh9UJSQkZYzVHv6tZIyxCjLp8wAAcgnYeCOx6HEeOcBYncS/mYyxBs+Qn4Pt/34cADBo4bdVSkNh/vNNXPk9Fj4AlCKgpaLLMUsyVdFzGWO1joMexliDZzIa0ObPeMv2f6qWhkJx+Ct4n/YAUHJg09+3ctUzxqoXBz2MsQZPpdLi0qjOAKqehkLsGYXES9FokZRUYrFcU+UvwRirPhz0MMYaPJXWAcMWfl/1ihQqyAfNg1OyM3B4GdKdi880evxmbtWvxRizOx7IzBhjFSQaDQCADNcSjvNHK2N1Evf0MMYaPEmSkJedDgBwcGpStTQUxlzoc7Ms9cqL7+kZ18WvcvUzxqoVBz2MsQYvLzsd17o/AADwrWoaigUtIFxrAkALKiF2ymk9pHL1M8aqFffBMsZYBaXCkkg0V1H8issKlUNNNocxVk4c9DDGGjwHpybwPbQXvof2wsGpSeUrUjqAZt/AMbUGAJChLPoR2s/wCdLyjJW/BmOs2vDtLcZYgyeTyaqWc6uAICAv5gQGHbOknjDLixa5TM0hScWP9WGM1a4619OTnZ2Nrl27omPHjmjfvj2WL19e201ijDGrhCenolmGZfveoOcL80gAgIyzqzNWJ9W5nh4HBwfs3r0bDg4OyMvLQ0hICMaMGQN3dzt8S2OMNUrG/Dxsf/spAMCgt5dDpa3kmBuz7W2rdibL1PU/xK6YbZqGDDgBAHrd71H5xjLGqk2dC3rkcjkcHCwfSHq9HqIogorJbcMYY+VlNOaj9a/HLNtz8isd9JBoG/Q4wnKbS4TcGvAAQHOXKqz6zBirNna/vbVnzx6MGDEC3t7eEAQBv/zyS5EyS5YsQatWraDRaBAWFoa///7b5nhGRgZCQ0Ph4+OD119/HR4e/K2JMVZ5SpUaFwcH4+LgYChV6spXJN1Tr6zgC9ndL2Yt3XnmFmN1ld2DntzcXISGhmLx4sXFHl+3bh1mzpyJuXPnIjY2Fr169cLQoUORkJBgLePq6orjx4/j8uXLWLNmDW7dumXvZjLGGhG1Vofh/7cBw/9vQ+WTjQIgyXasjkq0/CsUCnr+fLl3petnjFUvuwc9Q4cOxbvvvosxY8YUe/zTTz/F1KlTMW3aNAQHB+Ozzz6Dr68vli5dWqSsl5cXOnTogD179pR4PYPBgKysLJsHY4xVB8lge3tLdcpyG+v/zHc/79SKYqZ0McbqhBqdvWU0GhETE4PBgwfb7B88eDD2798PALh165Y1cMnKysKePXsQGBhYYp0LFiyAi4uL9eHr61t9L4Ax1uiYJbN126QvPpHoOeK0E4zVBzUa9KSkpEAURXh5edns9/LyQlJSEgDg+vXr6N27N0JDQ/HAAw9gxowZ6NChQ4l1zp49G5mZmdbHtWvXqvU1MMbqn5zMVMQHBSM+KBg5manlPm/3td0IXxOOPy7/AQDIy7K91a7z1gMABgZbPtMeuI/HHzJWl9XK7C1BsL0vTkTWfWFhYYiLiyt3XWq1Gmp1FQYmMsZYMXJNuZixcwYA4PU9r2Noq6HQp6fYlHFsbgl6PhkXit9O3sSw9s1rvJ2MsfKr0aDHw8MDcrnc2qtTIDk5uUjvD2OM2YuDUxM03fmbdbs8vjr+VZF9uT9utnle8PXNxUGJid1bVqmNjLHqV6O3t1QqFcLCwrB9+3ab/du3b0dERERNNoUx1ojIZDJ4eLeBh3cbyGTl+9hbeXolAMA1h+CSQ0jXpyPfnGdbSADeMU2yd3MZY9XE7j09OTk5uHDhgvX55cuXERcXBzc3N/j5+SEqKgqTJk1Cly5dEB4ejmXLliEhIQHTp0+3d1MYY6xSck2WAcsKM2HZ55Z56bfHJyEv2A+q7Qes5cwqOdqO/nettJExVnF2D3qOHj2Kfv36WZ9HRUUBACZPnoxVq1ZhwoQJSE1Nxfz585GYmIiQkBBs2bIFLVty1zBjrHoY8/OwY+ELAIAB//68zBWZo6Itn1uO+rv7Zv72ND75P9sxPUpfwrguPGOUsfrC7kFP3759y0wb8dxzz+G5556z96UZY6xYRmM+/NdalsUwvlx2Gor9Ny1lC0+5MGSmFynnKuTYrY2MsepX53JvMcaYvSlValzs3RoA0LoCaSiUd5fowSdfizbH/PqngDFWv3DQwxhr8NRaHYYv+71cZU2SybqtKBTnqM225Rw9bVdnZozVfTU6e4sxxuq6fHO+dbtNYum36hlj9QsHPYwxVki+6W7Q8+JmqZSSwAlVx2puDWPMnjjoYYw1eDmZqYhrH4y49mWnoSjc01OSS60swZAoKO3SPsZYzeAxPYyxRkFtKrsMAOSai08qWphfWAYAQJKpqtAixlhN454exliDp9W5QLfpf9Bt+h+0Opcix+OS4zB+83jE3IrB+bTzAADf2yWP54lzHQ0ASMwRSyzDGKt7OOhhjDV4crkCvgFh8A0Ig1xetIP7wAuP4Z3XTuLN7ybDWe0MAIiMKXk8z9V0y0enkTvLGatXOOhhjDV4RIRDiYeQml/8eJ6+xy09Np98LeLk7ZMAAJW52KIAgB6yMwAAE3HQw1h9wkEPY6zB23lpOza8+wQ+fLU3jIa8UsueTj0NAGji5l1imYHyWACWRQ8ZY/UHf01hjDV4R87+hSk7CADhVGIcOvtHWI+JObYDl1W3MwEATtllj9cJ8vGwazsZY9WLe3oYYw2e/+Hr1u2UnNvWbdOtZGRH77Qpm3LR0tPT+lhSmfUqlDx7i7H6hHt6GGMNmlky41jqcYTeea69cB0IsWxf6NOnSHlRLhTZV5j/oLtBk1qjsVczGWM1gHt6GGMN2o6EHZAKxTEkVX6aucf0p6B1v7vgj1LJixMyVp9w0MMYa9ByTbmQCn3Sye7MRCcqfh0euWjZfyjwbqTU7O158Fu1Em5PTrIp63X2f/ZtLGOsWnHQwxhr0AQIcM+8u+aOmGkZqAxz8XPSlWbAKY8Qln13kLLZwxOOPXrAmJ9hU1auT7N7exlj1YeDHsZYgybLyceYg3efm5WWjz0yGostrxSBbxaJUNy8O3Zn9nVHAIAh3zYvl9SktZ1byxirThz0MMYatL92LLd5fiz1BABAKinouacDaGn7UfjrbAoAQH/vOd2fsU8jGWM1goMexliDlpadbPP8/K1TAADKK36RwntXYh589QgAwGiWoDlpO4ZHJpPbqZWMsZrAU9YZYw1am3uW2wm7QLg06iEYzp0rtvy9QU+brJsAgPQ8Iyjtpu1Bgb83Mlaf8G8sY6xBe2S3beLQPqeoxIAHALT33MFK6+CCxcr/w8nrmbjSJNzmmFnOaSgYq0+4p4cxxgpxMNhOZW+vuwxnuR4dvo1GjHo+UGjNH2PgKP4QZawe4Z4exhgrxEFv+1zTxLIYoQISlIJtr5FM5VBTzWKM2QEHPYwxBkAZ2R8A0CLVdr/KybKC878Va20PjP4KGiUPZGasPuGghzHGAMhMluCm/dXiV2qeoIi23RH6cDW3iDFmbxz0MMYYAMPO3bXdBMZYNeOghzHW6H00toSPwlKG7PRf8AfyjZVPXsoYq3l1MugZPXo0mjRpgn/961+13RTGWD2XpS27zJEAGdRtg4vsvz8yqZjSFomZeSAUfyuMMVY31cmg58UXX8S3335b281gjNVzmYbMIosN3uubwZaPQdMjU4ocU6ilIvsAIC58EdY+2xdqBQ9kZqw+qZNBT79+/eDk5FTbzWCM1XNJuUlQWWacQz5sULFlbrRyQifdw5i95UK56w0d9DhCW7pDLhPKLswYqzPsHvTs2bMHI0aMgLe3NwRBwC+//FKkzJIlS9CqVStoNBqEhYXh77//tnczGGMMMpNk/ZDzeeNNeH/8cZEyKx9cDSFGwGvqdeWuV5DVye+LjLEy2P03Nzc3F6GhoVi8eHGxx9etW4eZM2di7ty5iI2NRa9evTB06FAkJCTYuymMsUbOnJ9r3T7842LEJh6F48ABRcqtVi1ER+XFctd7dNOX+DXmKsxi8be/GGN1k91XUB86dCiGDh1a4vFPP/0UU6dOxbRp0wAAn332GbZt24alS5diwYIFFb6ewWCAwWCwPs/Kyqp4oxljDdKJG0fRAYAEwOu/PwIA3A7tha5HOG69+y4AQN6kCQBAkJd/UHKXY//GpP1NMah9Cyjk3OvDWH1Ro2ljjEYjYmJiMGvWLJv9gwcPxv79+ytV54IFC/DOO+/Yo3mMsQbmxxPfoQMAowK41FwNmVyOlnI53B6bCE1gAMScHCg83AEAsnuCHtFZVWK9J9Wd0KNFU8gEHtPDWH1So0FPSkoKRFGEl5eXzX4vLy8kJd2dGhoZGYljx44hNzcXPj4+2LhxI7p27VpsnbNnz0ZUVJT1eVZWFnx9favnBTDG6pXOR9IBABozMLbnZQBAgkEFPx3g0LUrYDbCfD0GCgCCzDboud7THSG4Umy97WdHY2V1NpwxVi1qJUGwcM+3IyKy2bdt27Zy16VWq6FWq+3WNsZYwzFmf9FbVjfOHYVfRG/Lky+6QpF+BQAgFPo0jG/SEmNcDhRf6cT1dm4lY6ym1OjNaA8PD8jlcpteHQBITk4u0vvDGGPVQam/fffJnYAHsO3pEVDCAOXQR4H7B1ZTyxhj1a1Ggx6VSoWwsDBs377dZv/27dsRERFRk01hjDUy0dubI3p7c+TnZhd7XKa4G/SkqZ1hRqGFB3vOBPq/AUS+C2lxN1yZH4Lhn/zJaSgYq2fsfnsrJycHFy7cXeTr8uXLiIuLg5ubG/z8/BAVFYVJkyahS5cuCA8Px7Jly5CQkIDp06fbuymMMWbllWq5hZ6BO0s0i7ZLNRe+626SKyCFjANOrb1zcgjQYRxgzIUs5Rz8AVy8nc1pKBirZ+we9Bw9ehT9+vWzPi8YZDx58mSsWrUKEyZMQGpqKubPn4/ExESEhIRgy5YtaNmypb2bwirAaJaQkJaLNk11RcZcMVZfpXrr4H4zBwCQH5kJAJArNZaDoqGk0+CHZKhO/XF3R9Awy78KDcTHN+NsYjZWeHblNBSM1TN2D3r69u0LotK//Tz33HN47rnn7H1pVgUP/t/fuJCcg9ciA/F8v/tquzmM2UVKMy3cb+bgdo989G5iWajwx3QDugGAueSgJ1ReaKHCoR8Cqjvp1mVyyFv3RrvW1ddmxlj14VW1GADgQrLl2/BH287VcksYsyOz5RaWXHZ3YPLOk5bV36mYoMezYyaytVo07VBo3E9eavW2kTFWYzjoYUXw0vqsocjPs6zQLgNh321n7LvtDE+6jZS9KyF8GlSkvHtQLtY/2B8qXaEByrs/vLstmiGe3ozYP/+HP09e598VxuoZDnoYrqfn2Tyfu/FULbWEMfuSmS1BSaJSAbcdOrjt0OF1xQ/w+Gtmiec4Qm+7o1nI3W3RAPlPj6HT/ufx0veHYOSgh7F6hYOeRioxMx+XbucgS2/CZ3/9Y3Ns3dFrtdQqxuxHlEQoRMv4wmSVHNeaE641J8jKmHHlBNsvAQh/4e62IIPk0w1nlW3R0c+N01AwVs/UyorMrPaFL9hZ201grFoZRAMUd+5SDTHmwr9PXukn3OEk3FNOqbXZlk3bjiAAP9inmYyxGsQ9PY2QJJW9tsipG5k10BLGqk+eOQ/+yZZtd5S9iKAxYDgAwAn5tgcCIu3dNMZYLeGgpxEqbhyC0vUQnIJnQaa+CQD45E+excXqt+/OfAfVnfUHjRnKMsvLtC4AgAmKaNsDCs7tx1hDwUFPI2QUJYyV7cE0+e/WfZrmGwEAjq3/D4CEXeduY9vppBJqYKzu++H0/6zbmYlq/LWrOf7a1Rx5YvHjcBTHvy+7UlM+pK/64p93u+Bfn++A3sRpKBirTzjoqSQiqrd5d/QmEYNdVyPQ7Rc0bboByiZ7bY5rWqwBADzzXUxtNI8xu4jQ3p115d4tAy1uCWhxS4CEokHPOMNb5auUJMgSY3G/+R+cvpEBqYyFWBljdQsPZK6kb37cgHMnDmLys3MR4uNa282pkJx8E9anusMpH9CHHYbmnuNK51MwJKeCTO610j7GqirHmINn3jxsfa7VisgcaFlw8D6h6O3dIxQEaFwA/T1j2Sbc0/sjV0N8eC1O3czEkmY9oJLz90bG6hMOeippWvyTgBJ4bIk7/vf+rNpuToX8GHMSL/9q+eCPbSPgtmvRb766+z6C4fYgAMNquHWMVZzp1i2kfv0Nmjz6CNStWmHFqRUYVOi4Sg708Cg+u/rWNm9gfe8IIPMTYMM024PBw22fyxWQBw1FaNF1DRlj9QAHPeUU/fNiJG9YBUd9JmSiAIf0ZrjuLEN/5x8w97G/0f3+ZpCrVBAUCghKJQSlEjLFnX/v7JcplZAr1ZBLgDJbD1mL5pCr1ZALCsg1GsgdHKBQaaFQqCBXKqGQqyBXKKFUqiGXK6FQqqGQK6AQFOVKCipKIj46+hEECHg57GWo5CoQEX49/xpG3SnT96SEP8JkyNECYZ7dEHP7iPV8ddPtkEiCTJCBiDgRaRWIkggzmaGW86DY6nDj5SjkHzuGzE2bEHjoIM6mnbUJegBA32ESNCe+K3LukIGRQPMmwIUmNdNYxlit4aCnnNLOHkX7Y7ko/JZ5JgOAEeG4BBy9VOVrSACMdx6llZFkAAmAJBRsC5BkluckEyAKZP13VAYhTQesabEaKiggM5ix4srdcQjj9hLG7S0Ym3QAB4IEXPUUYJIDZjnw7+OdkaU0wSwHmjg2RVuv9pDJFFArtVBqtFA5OEGuUgFyOeRqNVRKLZRKNQSFEoo8I2RGEwRfb8iUSihUGmjkGuhFPTL0GZBIQkuXlkjNT0WGIQOtnFtBIVNALpNDKVNCIVPAWeUMAFDJVWW+fyn5KXDXuJcanBlEA5bELYFKrsLR09uxUPc4mg4bCUFRvb8KU/+ciphbljFSb/Z4E+MDx1fr9Rqb/GPHAABSZiZOn9sLXwdvm+NmCThh8gN8n0Lnq8uhKHxXSrjzROlQ9oUkEeLF3TiTmIkMr3BE3O8FuYy/DDBWXwhUVkr0eiYrKwsuLi7IzMyEs7Oz3eo98NtyXP1pBZylW4AckOsFaBIVyPcQAUkAESCIwp2oBJBJgCBZIhOTqIQkySEnwEEQ4JhjhGOehBxHGUS55Vy1UYLCTFDWz7HR5WKWAaIMEOUACJARoDEBaTrLcVEG5GoswZsoA0wKwCwXYJYDpJBDkssgKQRALgcEAaIASDKCTK6EnozIF/WAzgGOjq4guRyuKXpkNVEhT6eEMT8HWTmp1muRAMy8c4vvUKCA38KVaN00EGYZEOjZFkqlBiq1FrnGXEgkwqOJD9RaHeRqDRRKFRQyhTUwkwtySCSBQFDJVNAoNJALchAIi2MX4+8bf0NpJihEIF9t+QPprnGHVqHFzaxrkASglWtrGEUjngx5EmPuHwOFrOa+j8SnxuP3S79jWvtpcNW41th17Sk+KNi6neABRHeQ4fGdlp+v1sMAj37puPZTMwCA73v9oTt5d2YXpu8FmrUHbhwDlvezrfjte8b4GHOB9y0BVbB+BWLmj4KDir87MmYP1fX3uzAOeqrCkA2c/An47eVyFT8ttcQuqSNmKH617vuq3zHsv5iKvRdu4/y7D8IkirhyKxst3bRQywAymyGKZpjNRohmE0xmA0SzyfrcbDbALJoAUYRoNgGSBDkJ0BvzcPRiBv7cdRNeeWkYE+EBNxcNSK3Cyl1xeEPaBBkJeE82ETNcAf2+fRAzM+H84IO4nEeIvZgMJeWjuUM+mqlEiEYjFBJAJhMgEUTJDLnRDJlJhNwsQRAJMlGCQASZSJA34JREEiyBm1luCc4KgrSC5wWBnVkGKEWgSQ6gu5PO6YonkOkgQK8GNAYg9AohTw3sC7YEdwUPQa6AIJdbAjy5zNKTJpPDwSAgy00NqFTwStKD5DLcaukMyGQwywgaByfI5ArIFSqojQS5IEO+hxPkCgUgl0OhUEEmV4Dkcmw+tAouuYRzPgIkwXLdMQFj4aZxg0qmglqhhpPKCWq5GhcyLiDXmIuAJgG4mHkRLXQt4Kh0hLPKGc5qZyhlSmgUGmjlWmtPXUFQqJQpIZIIiSTolDooZCXfnv3p/E8wmg1wPp+I087ZeKXvm1DKbNfYISJcyLgAB6UDWuhaQCIJ54LblfjzCvzXTegFAQf3tgQgQ4/Nu+BwKxb47iFLgdnXAbUTkHwWWNLd9uR7gx5TPqTlA3E5NRdRTh9j3fP9oFHKy/+fhzFWIg56KqFGg55iG3ATuPAXsOmFssvCEgi1k10FABySgvCk8TU8Lt+O36TueKBrV/xwOAEA8Mm4UHTwccH9Xk7lbor/rLvr8Ezv0wazhlpGXx5/uytCcd628D0f7oXPvfJBxQczExEgioAgQMrPB5lMIKMRZDIDZpO1nGQ0QsrJhUyjhqTXQ8rPB0QRZBZhNuRDr88BjCbk5WVCEs0QDXqIogkkShAkAomWoJAkEY6CGvrMdBgMOYDRDMedRyHptNC3aw31yQvQ+3jApJZDp3KCIBHkCYlAajrSPDVwIBVM+jwoJAEKERAkCTKzBFk5Vq9uKEx3gjajwhIAFdwyLQiITIo7wd2du0FmuQCD0nIMguV8k9wS8BWUK9iWSZZ6JZkACIBKtNySzdYKILkcokIAGY14aptttLxopBwyDzdIaiUgl0FmMMEr/jbG77WU+78RMtxyFfDedyV3kQY/bFlwE2+mAPJCAVReGiCaACcvy/P0K8Ci0LvH/XsBU36r4rvKGCsvDnoqodaDnuIYcoBrB4HfXwXSL1fo1BvkjhZCKt4wPYH/iXeHZn4yLhStmzriPk8dlHIZFDIBCrkMepOIVfuvwEmjKJIt/dPxoYj68ThOqKfB+d78Qm+mApnXALdWAGyDngLrnw1HWEu3CrW/ISAiwGwGGY2QjEbL9p3nJEqAaAaJoiWwM5lBZpO1DAQZzKkpUHp5Wc7XGyDl5oIMeghKJYxXEyBoNQARyGSCaDTAqM+DyWyAZDZBEkWQ2QTJZIJwKA6kVcPk1wwwGqGOswSuhtbeIEGAIEkggxGQJEAUobmdZX0NoloBQZQAiRpVIJfXNQBhbaItT+7ttblXTjLw8f13n792CXDkZRsYqykc9FRCnQx6ipOfARxcCuQmA0dXlOuURHJDjHQ/hssPYYl5JD40P1xqeTlEXNRMQjrp0MWwFCIs3fBXNI+WfNKjPwIBkZi1/gTWHimabX3DcxHo7MezXOqzgl44QaG42wMnipBycqzBnGQwABIBkggSpTvlDHeDOgLIbALpDSCTESCCZDCAjCZLEGiyBH2S2QTRZIRMJgcZjZZgTjRDzMqCOfYEFB1CQJIlYBREgvnQUZu2Cm0DIOXmAAZLGwWNBsK1RNvXo1RAMJmh6dQRni+8gORPPoX+9GkAQND4m9ZxymUGPfpM4AM/y7ZPV2DaX/Z4uxlj5cRBTyXUm6CnOGajpYv96l4geiGQU740ELHSffhVjECsdB8y4Qg9qZALLZ5VbMJzik0AgLGGeYihQABlBD0A8HYmDl1KxYRlB4sc0ihlOPufoRV6WYzVmrct+bTyRAF/HwsAAPRa9yccdK5Fy4om4D8elu02/YFJG4uWMeVD+m4s4pOysMDtXXw9tReP6WHMTmri7zdPO6hLFCqgaYDl0eXJu/vz0oATPwIn1gE3jxU5rZPsAjrJLpRa9Xr1OxhjeBvHqU3Z7SBC99bFd+vrTRL8Z/0Of3cHbH7hAThpyk7kyFhtkyDA76JlcUJJLGH8T+HxPuoSPnBJgixhH9oBiLmSymkoGKtnuKenvsq5DRxbDVzZa3n49QASDgCS2T71v52JGxn56PnBTgDAd1O7YdI3h4sUm9HvPhy6nIojV9JxcPYANHO5N6lF3SVKxGusNHR3enpMEnDgvjkAgPCHX4JSVcL/0zvl0XYUMP7bosdFM8QzmxB3LRO3vAdicPsWUHAqCsbsgm9vVUKjCXpKYsgB0i4CV/YB22YDA+YBO96pfH0h/wKGfADomiJiwQ7czNSXWlynVqBNU0cEeDnBTafCV7stizbe76lD/2BPDG7rhZbujnh5XRz+/icFwc2dEZ9oGXC7dWYvBDWr3p8ZEWH3+dvYdTYZG47dwKYXHkArD8dqvWbha/Oq1jUn3yhi53+GYJj8MJapp+Dp2YvKPqkg6BnwFtDrleptIGPMBgc9ldDog57SZCQAx74FbsQAIz8HXHzu7te6Aee3Auunll5HwBBk93gVf29Zg/NCK3x2reTbZSqY0ATZuIXyz/jq0rIJjl5Nh1ohg8FsmZb8eHhLTH2gFfQmCTIBNtP2TaIEpVyGhNQ89P5oF17sfx+iBgcWqTc5Ww+1Qo6pq47g6NV0m2NH3xgID131pod4ctURXE7JxZwHgxHq4wJP5/rTI1Zf/XMrG1cXj8BAeSxMD34GZbcnyj4p8QTwz59AxAuAglOGMFaTOOipBA56qigjAfisffnLKx0BUy7Iqx3yQp9ESsJZJOhCcUrTCc/u7QkAmGJ8DdFSJ7s1UaOUoYmDCmqFDFdS84ocHxDkic4tm8BRJYdSIcOWk4nYdyG1zHqbOqnRxEGJzS88AKVMBplMwPFrGcgxmNHzPo9KtVWSCHsvpODxFba3Bq98MAxEhKGL/sbZpGwcnjsAWqUcSrmMB8bayX1ztmCV/F08ID8N86ilOJVmuQ0V0nsMFMqy05oUSxIhJhzGP7eykdO0Ezr5e/AtUsbshIOeSuCgx87y0oBDXwEp54HTG6pWV8eJQKs+IFM+hN9eAgBc7/MJPL28cdTkj/hUCb+fzcSxhIwip6oUMhjN9l3m2Ve4hb6y41gn9oMRRQdkuzookZFnWUix533uaOGqhYNKAY1SDq1SDq1KBq1SDoVcBrlMgFIuQC6zJGdVK+TIzDfi3+tPVrhdMW8MhItWCblMqJHbYWZRQkJaHlp5ONbb229EhCNX0uHTRAtvVy1irqZh7NID+Fn1NrrIziNn2FJcm/QfAIDvob3QuVRy/R1OQ8FYteHZW6z2ObgB/WZbtsettPxLZHncjAUOfWlJxdEsBHD2Ac7/UXJdcd8Dcd+j8J9Vn92WcRMRdx5TW/UGHPYDHR4Ger8KuPoBMjkKYvMsvRmJmfm4lWWAKElIzzXhZkY+jlxNx6whQTh4KRXX0vOQozfjwKVUXE/PL9KMMZ1awNtVi5cOPQmlpIe7kIXPzP8qUq4g4AFQrp4iewl79+76MDIBkMsEy0MQ7m4X2ieTCVDICv17p1xx+woeCpmAq6l5+Cc5x+baj3TzhUwQIAiWH3FBUCcTAMKdHz0IBV+V5DIBEhGcNUrrdYRCbRYEAfeGUffGVYVLiJIEAmAWCaJEcFQrIBMAWaHXX9A2iSxl9GYJ28/cwp7zt4u8l11klgUcBZUWt90tH3d+VeqZESA1aY2bGfnwc3NE0VfHGKvLuKeH2R8RkHYJyLoBxK0Bjv9Q+bpkCkDXzJLnDACadwCcvQHvToDO07K2kXNzy5ikizsswZJzc0tZs9EyDbmk3ouCQas+XUFTt0MiwGAWkZCWh+PXMqBRykEEeDlrkJCWi5QcI/KNIvJNdx5Gy8MsEURJuvMvwSRKd/4lnLxhWRBvTKcWmDU0CKduZmL2hpO4lWUAYBn4PSSkGX6OuV7594iVgHBFM9Gy2X06MHRh7TaHMVaqRnt7a/To0YiOjsaAAQPw888/V+hcDnrqAbKs9AuSgIyrloHVR1cA1w4BHgGWW2n24uoH3DcIOPqN5bl352LXOsK8jJKDoxqmN4nQmyzBlCQRRCKYRYJEZN1XEGDdu89a/p595jtlxUL7rqbl4UJyDpzUCtzIyMeQkGbI0ZthLpSmQm8SYRIJBIIASy+LAMtbJQjCnR4ZCfl32lu4B4bIsixAYYR7nt/z6WOpX4BCbvlZGMwS6E59IlnGSBUsNSAIgEwQoFXK4ahW4Fp6HuITs0AEOKjkeLzZVcy4FmWp+OEfgKAH7f6zYozZT6MNenbt2oWcnBysXr2ag57GTBKB7CRLEtdzv1sCo4Ahll4kB3dL2oC0S0DOLftcT9cMcPQAXHwtWbfVTpaALPMa0Pt1QOtqWbSu4JjayfJcqQWUDoCshPVaMm8At05bVtjuNMk2uEo+a+mxcmh8Oc3sSp8JHF8HtHvI8n4Cd3vygLJTUDDGal2jDXoAIDo6GosXL+agh5UfkSVAuXbYcktNfWdq+5V9lhxn1U2mAOSquw8SgbxixgK5tQaChlkCupM/WfZFvg9om1gCKLUToNBYHoLM0iOmUAPGPECuAJq0sgRZpjxL2pIWnav/tdV16yYB8ZaUK/j3FUClu5tSAkD+69cQPcmSPqXvd39A61DJzwaTHuLax3DqZiYWN52HzyeF82w7xuykTg5k3rNnDz766CPExMQgMTERGzduxEMPPWRTZsmSJfjoo4+QmJiIdu3a4bPPPkOvXr3s1WbGiicIlttZrn5A+6IDk0ukz7IEDynnLZm2ZQpANFiSwt46bQlcnJtbyhmyLAtAGrItD2P23Xoks+VhKjqN3kbaJWD/57b7ts0pf3uLo3YBZHJA5Whpv0INmA2AMQdwbmEJpuRKSwZ2AFA5WNajAYD7B1uCK6WDpYxMaQmuZMo7zxX37FcAgtzyr0xhed9l8rv7BNmdhwBrts+C49Z9QqH9d8rL5Jb3z5ANXNgBNA2yjN2SKy3lRQNg0gNmvaVnh0TAs52lnoKABwAW+tu+N+3HQzSZ4H86DQAgmkyoNBIhv7gdoQD2nr/FaSgYq2cqHPTk5uYiNDQUTzzxBMaOHVvk+Lp16zBz5kwsWbIEPXv2xFdffYWhQ4fizJkz8POzZDAOCwuDwWAocu6ff/4Jb2/vSrwMxqpA42wZIN28Q8XPlUTLH2FTPiAa7zxMd7fTr1iCJcls+YN/7g+geUdLYGTKA06tt/wBDxhqKW/IBsz5lj/uosESpJBoqV+fUXI7DHdu3+SnFT2WW3RWk42C4KehGv0VVCY9EmdaAuE2Gm3l65KrYB75BY5dTcd/WnSCklNQMFavVOn2liAIRXp6unfvjs6dO2Pp0qXWfcHBwXjooYewYMGCctdd3ttbBoPBJoDKysqCr68v395iDRORpQdHNFhmp0mmQkGWyRIwiea7x7MTLeOfRKMl8JLJLYGaKd8yVsqQZRk8np9uuZ1WUJ9kvvNv4ed3riGJlkBMEi37SbI8Cj8H3dlPtscLjgF395N0N7gT7twqunVnfSP3++/WqdBYerAUGkugmHIO0LhabgcqtUCrPpbZgqbcu+9X1Nm7s/kYY3Vanby9VRqj0YiYmBjMmjXLZv/gwYOxf/9+e17KasGCBXjnnSrklmKsPhEEQKmxPFhRwz6u7RYwxuowu/bNpqSkQBRFeHl52ez38vJCUlJSueuJjIzEuHHjsGXLFvj4+ODIkSMllp09ezYyMzOtj2vXrlW6/YyxhslsMiL+4B+IP/gHzCZj5SuSRIg3j+Piif04fT2tyJR8xljdVi0rMt+7lH1Fs0tv27at3GXVajXUak4MyBgrmT4vG5hiWbNHX5U0FGY95Mt6ow04DQVj9ZFdf1s9PDwgl8uL9OokJycX6f1hjLGaIsgEZDhZOrarmoaCdM1xO8eApk4aTkPBWD1j16BHpVIhLCwM27dvx+jRo637t2/fjlGjRtnzUowxVm6OTm4IP3K66hWpHCC8ehaeAPZUvTbGWA2rcNCTk5ODCxcuWJ9fvnwZcXFxcHNzg5+fH6KiojBp0iR06dIF4eHhWLZsGRISEjB9+nS7NpwxxhhjrCIqHPQcPXoU/fr1sz6PirLcJ588eTJWrVqFCRMmIDU1FfPnz0diYiJCQkKwZcsWtGzZ0n6tZowxxhiroDqbhqKyOA0FY+xe+XlZ2DnNcou9/9e/Vi0NxfqncPx6BlZ5zcGHD3fjNBSM2Um9W6eHMcbqItFkQutjSdbtSiMR8rOb0BnAxJQpnIaCsXqGgx7GWIOn0mhx/WlLwtGqpqEQh3yIo1fTMcenA6ehYKye4dtbjDHGGKt1NfH3m7+mMMYYY6xR4NtbjLEGTxTNSIg/DADwC+4GubySH32SBCn1Em5k5sPs4o+W7jrIqrTYIWOsJnHQwxhr8PJzMqH/11TLdpXSUORD9kUYfMFpKBirj/i3lTHWKOSp7dMjQ2pnZBvMcNLwxydj9Q0PZGaMMcZYreOBzIwxxhhjdsJBD2OMMcYaBQ56GGMNniE/B789GYnfnoyEIT+n8hWZDRA3TMeR/07A62uPwGAW7ddIxli146CHMdbgmYwGtNmfgDb7E2AyGipfkWSG/MQP6Jq5FZvjEiBKDWpIJGMNHk8/YIw1eCqVFlcn9QEAtFFVIQ2FTAnzgHdw9EoaonzaQSHj742M1Sc8e4sxxhhjtY5nbzHGGGOM2Qnf3mKMNXiiaEZywlkAgKdfUNXSUGQlIiXXCMnRC57OWk5DwVg9wkEPY6zBy8/JRMbQcQAAp6qmofisLTzBaSgYq4/4t5Ux1iiY7XQzn2QKmEWCgnt4GKt3eCAzY4wxxmodD2RmjDHGGLMTDnoYY4wx1ihw0MMYa/AM+Tn47bmR+O25kVVPQ7E5CocWP4G3NxzjNBSM1TMc9DDGGjyT0YA2O/9Bm53/VD0NRcw36J6yAesOX+Y0FIzVMzx7izHW4KlUWlwe2w1A1dNQiL3+jcNX0jDdJ4jTUDBWz/DsLcYYY4zVOp69xRhjjDFmJ3x7izHW4EmShKy0RACAs1tzyCp7W4oIpM9All4E1M5w1iohCLxIIWP1RZ3r6cnOzkbXrl3RsWNHtG/fHsuXL6/tJjHG6rm87HQkPjAQiQ8MRF52euUrMuVBWOgPl0Vt0GP+ZuSbePYWY/VJnevpcXBwwO7du+Hg4IC8vDyEhIRgzJgxcHevZK4cxhhjjDHUwaBHLpfDwcEBAKDX6yGKIhrYWGvGWA1zcGqCNsdjAAAKpabyFSkdQG/chlkinJApoJDXuc5yxlgpKvwbu2fPHowYMQLe3t4QBAG//PJLkTJLlixBq1atoNFoEBYWhr///rtC18jIyEBoaCh8fHzw+uuvw8PDo6LNZIwxK5lMBpXaASq1Q+XH8wCAIEBQqKBUqaFUyHk8D2P1TIV/+3NzcxEaGorFixcXe3zdunWYOXMm5s6di9jYWPTq1QtDhw5FQkKCtUxYWBhCQkKKPG7evAkAcHV1xfHjx3H58mWsWbMGt27dquTLY4wxxhizqNI6PYIgYOPGjXjooYes+7p3747OnTtj6dKl1n3BwcF46KGHsGDBggpf49lnn0X//v0xbty4Yo8bDAYYDHdXWM3KyoKvry+v08MYszLm52H73CkAgEHvrYJK61C5isxGiH+9gyNX0hHtMx1RQ0KgUvAtLsbsod6t02M0GhETE4PBgwfb7B88eDD2799frjpu3bqFrKwsAJY3YM+ePQgMDCyx/IIFC+Di4mJ9+Pr6Vv4FMMYaJKMxH623nETrLSdhNOZXviLJBPnBxeiR9D1W7/0HZkmyXyMZY9XOrgOZU1JSIIoivLy8bPZ7eXkhKSmpXHVcv34dU6dOBRGBiDBjxgx06NChxPKzZ89GVFSU9XlBTw9jjBVQqbS49GB7AHZIQ9FjBo5cScdkn/s5DQVj9Uy1zN66d3AfEZV7wF9YWBji4uLKfS21Wg21Wl2R5jHGGhmV1gHDPv2x6hUpVJAPeQ89APSoem2MsRpm168pHh4ekMvlRXp1kpOTi/T+MMYYY4zVJLsGPSqVCmFhYdi+fbvN/u3btyMiIsKel2KMsXKTJAlGQx6MhjxIVRmHQwQyG2EyGmAy8xpijNU3Fb69lZOTgwsXLlifX758GXFxcXBzc4Ofnx+ioqIwadIkdOnSBeHh4Vi2bBkSEhIwffp0uzacMcbKKy87Hde6PwAA8D20FzqXSq7wbsqD8L43lACC9SsQM38UHFR1bo1XxlgJKvzbevToUfTr18/6vGAQ8eTJk7Fq1SpMmDABqampmD9/PhITExESEoItW7agZcuW9ms1Y4wxxlgFVWmdnrqoJub5M8bqF86yzljdVxN/v7lfljHW4MlkMrh6tKh6RYIAQdsELlWY9c4Yqz28yARjjDHGGgXu6WGMNXjG/Dz89e6zAICBbyytWhqK3R/j8JU0HPZ5As8OCOY0FIzVI/zbyhhr8IzGfLRafxit1h+uehqKvxci/NpyfLnrLKehYKye4Z4exliDp1SpcbH//QCA1qoqrOAuU0AMm4qjV9MxwbsV5DIexMxYfcKztxhjjDFW6+pdlnXGGGOMsbqKgx7GGGOMNQoc9DDGGryczFScbBuMk22DkZOZWvmKjLmg+e4wzXND+zkbkGc026+RjLFqxwOZGWONgsJOE60EyQylAJilBjUckrFGgYMexliDp9W5wPWPn6zblabQQpp5Bim5Ruxy9IJGIbdTCxljNYGDHsZYgyeXK9C8VUjVK5LJIHNtAU/XqlfFGKt5PKaHMcYYY40C9/Qwxho8Y34edn4aBQDoH/VpldJQmA8swdEraTjp8ygm9wrgNBSM1SMc9DDGGjyjMR8tv9tt2Z6RX/mgRzJBsWMeegB44nQoJva8DyruMGes3uCghzHW4ClValyM8ANghzQUHR7BsavpGBHkx2koGKtnOA0FY4wxxmodp6FgjDHGGLMTDnoYY4wx1ig02jE9oijCZDLVdjMYYzUgNzsdVx57DADg/7//wdGpSeUqMuaBVj6IXJOIJ/A2vn26D7Sq6vkYVSqVkMt58UPG7KnRjekhIiQlJSEjI6PmG8cYqxWSJEJMugUAkDfzgkxWyWCCJCDzOgDgJnmgmasWMqH6BjO7urqiWbNmEKrxGozVFTUxpqfR9fQUBDyenp5wcHDgDxPGGgEigqlFcwCAUl2F33sikNkHJklCC5kKSoWsWj5DiAh5eXlITk4GADRv3tzu12CsMWpUQY8oitaAx93dvbabwxirQVqt1l41wV41lXqVO+1NTk6Gp6cn3+pizA4a1UDmgjE8Dg6VXJiMMcZqUMFnFY8/ZMw+GlVPTwG+pcVY4yJJInKSbwIAdJ7eVRrTQ7mpyDWaYVA1QRNHdbWO6eHPKsbsq1H19DDGGieSCMqUTChTMkFSFeZuEEHIug6dPgmJGfloWNNAGGv4OOhpQARBwC+//FLbzWiU3nzzTTz99NM1dr3o6GgIgmCdhbhq1Sq4urra9RonT56Ej48PcnNz7VpvbRAEAQYHJQwOyir2ngggjQtyZTo4a5XgfhjG6pc6GfQoFAp07NgRHTt2xLRp02q7OXVCcnIynnnmGfj5+UGtVqNZs2aIjIzEgQMHartplRYbG4vhw4fD09MTGo0G/v7+mDBhAlJSUgAU/cNeV926dQuLFi3CnDlzauyaERERSExMhIuLS7Vdo3379ujWrRv++9//Vts1aopMLodr60C4tg6ErCoDgmUyCG6t4djsfvi56yDj3FuM1St1ckyPq6sr4uLiarsZdcrYsWNhMpmwevVqtG7dGrdu3cKOHTuQlpZW202rMKPRiIyMDAwcOBAjRozAtm3b4OrqisuXL2PTpk3Iy8ur7SYWIYoiBEGATFb0e8I333yD8PBw+Pv711h7VCoVmjVrVu3XeeKJJzB9+nTMnj2bZw8xxuq9OtnTw2xlZGRg7969WLhwIfr164eWLVuiW7dumD17NoYNG1bieTdu3MCECRPQpEkTuLu7Y9SoUbhy5YpNmZUrVyI4OBgajQZBQUFYsmSJ9diVK1cgCALWrl2LiIgIaDQatGvXDtHR0TZ1nDlzBg8++CB0Oh28vLwwadIka28NAPTt2xczZsxAVFQUPDw8MGjQIOzfvx9ZWVn4+uuv0alTJ7Rq1Qr9+/fHZ599Bj8/P1y5cgX9+vUDADRp0gSCIGDKlCkAgK1bt+KBBx6Aq6sr3N3dMXz4cFy8eNF6vf79+2PGjBk2bUxNTYVarcbOnTsBWAKv119/HS1atICjoyO6d+9u87oKbhf99ttvaNu2LdRqNa5evVrs+7x27VqMHDnSZh8R4cMPP0Tr1q2h1WoRGhqKn3/+2Xq8oBfr999/R2hoKDQaDbp3746TJ09ay1y9ehUjRoxAkyZN4OjoiHbt2mHLli0255fWC7Z06VK0adMGKpUKgYGB+O6772yOC4KAr7/+GqNHj4aDgwPuv/9+bNq0yaZMZGQkUlNTsXv37hKvwxhj9QZV0O7du2n48OHUvHlzAkAbN24sUuaLL74gf39/UqvV1LlzZ9qzZ0+FrqFUKqlz587Us2dPio6OrtC5mZmZBIAyMzOLHMvPz6czZ85Qfn6+dZ8kSZRrMNX4Q5Kkcr8mk8lEOp2OZs6cSXq9vsRyhX8eubm5dP/999OTTz5JJ06coDNnztCjjz5KgYGBZDAYiIho2bJl1Lx5c1q/fj1dunSJ1q9fT25ubrRq1SoiIrp8+TIBIB8fH/r555/pzJkzNG3aNHJycqKUlBQiIrp58yZ5eHjQ7NmzKT4+no4dO0aDBg2ifv36WdvVp08f0ul09Nprr9HZs2cpPj6eDhw4QADoxx9/LPa9MJvNtH79egJA586do8TERMrIyCAiop9//pnWr19P58+fp9jYWBoxYgS1b9+eRFEkIqLvv/+emjRpYvNeLVq0iPz9/a3XevTRRykiIoL27NlDFy5coI8++ojUajWdP3+eiIhWrlxJSqWSIiIiaN++fXT27FnKyckp0s60tDQSBIEOHjxos3/OnDkUFBREW7dupYsXL9LKlStJrVZb/z/v2rWLAFBwcDD9+eefdOLECRo+fDj5+/uT0WgkIqJhw4bRoEGD6MSJE3Tx4kXavHkz7d692+b89PR0a3tdXFys19+wYQMplUr64osv6Ny5c/TJJ5+QXC6nnTt32vx/8fHxoTVr1tA///xDL774Iul0OkpNTbV5Ld26daO33367yGuvT8xmE2WfPknZp0+S2WyqfEWimaTEk2S8cZzib6aTKJb/97gyivvMYqyhKu3vt71UOOjZsmULzZ071/oH6d6gZ+3ataRUKmn58uV05swZeumll8jR0ZGuXr1qLdO5c2dq165dkceNGzeIiKz/njx5kvz8/Cr0BlQ06Mk1mKjlv3+r8UeuoWIfvD///DM1adKENBoNRURE0OzZs+n48eM2ZQr/PL755hsKDAy0CSgMBgNptVratm0bERH5+vrSmjVrbOr4z3/+Q+Hh4UR0N+j54IMPrMdNJhP5+PjQwoULiYjozTffpMGDB9vUce3aNWuwQmQJejp27FjkNc2ZM4cUCgW5ubnRkCFD6MMPP6SkpCTr8Xv/sJckOTmZANDJkyeJiEiv15ObmxutW7fOWqZjx47WP9wXLlwgQRCs/88KDBgwgGbPnk1EliACAMXFxZV67djYWAJACQkJ1n05OTmk0Who//79NmWnTp1KjzzyiM1rW7t2rfV4amoqabVaa7vbt29fYrBRVtATERFBTz31lM0548aNowcffND6HAC98cYbNu0WBIH++OMPm/NGjx5NU6ZMKfV9qOvMJhPlnTxJeSdPktlUtaCHbhwjunGMTl5LIzMHPYzZTU0EPRW+vTV06FC8++67GDNmTLHHP/30U0ydOhXTpk1DcHAwPvvsM/j6+mLp0qXWMjExMTh16lSRh7e3NwBY/w0JCUHbtm1x/vz5EttjMBiQlZVl82iIxo4di5s3b2LTpk2IjIxEdHQ0OnfujFWrVhVbPiYmBhcuXICTkxN0Oh10Oh3c3Nyg1+tx8eJF3L59G9euXcPUqVOtx3U6Hd59912bW0UAEB4ebt1WKBTo0qUL4uPjrdfZtWuXTR1BQUEAYFNPly5dirTxvffeQ1JSEr788ku0bdsWX375JYKCgmxu8RTn4sWLePTRR9G6dWs4OzujVatWAICEhAQAgFqtxmOPPYYVK1YAAOLi4nD8+HHr7bFjx46BiBAQEGDT7t27d9u0WaVSoUOHDqW2JT8/HwCg0Wis+86cOQO9Xo9BgwbZ1P/tt9+W+t66ubkhMDDQ+t6++OKLePfdd9GzZ0/MmzcPJ06cKLUthcXHx6Nnz542+3r27Gmtu0Dh1+fo6AgnJydr6oMCWq22To6zqgiZTAb4+wL+vsWOyyo3QQbyCITe9X608XQCj2NmrH6x60Bmo9GImJgYzJo1y2b/4MGDsX///nLVkZ6eDgcHB6jValy/fh1nzpxB69atSyy/YMECvPPOO5Vus1Ypx5n5kZU+vyrXrSiNRoNBgwZh0KBBeOuttzBt2jTMmzfP+se8MEmSEBYWhu+//77IsaZNm0Kv1wMAli9fju7du9scL8+A1YJpv5IkYcSIEVi4cGGRMoXzBTk6OhZbj7u7O8aNG4dx48ZhwYIF6NSpEz7++GOsXr26xGuPGDECvr6+WL58Oby9vSFJEkJCQmA0Gq1lpk2bho4dO+L69etYsWIFBgwYgJYtW1rbLJfLERMTU+S16nQ667ZWqy1zerOHhwcAy//bpk2bWusHgN9//x0tWrSwKa9Wq0utD7j73k6bNg2RkZH4/fff8eeff2LBggX45JNP8MILL5RZR+F6ChBRkX1KpbLIOQXtL5CWloY2bdqU65p1lSCTQauzw0w3QYCgcoBGVfWqGGM1z65BT0pKCkRRhJeXl81+Ly8vJCUllauO+Ph4PPPMM5DJLIn8Fi1aBDc3txLLz549G1FRUdbnWVlZ8PX1LXebBUGAg6pOTmIrU9u2bUtcl6dz585Yt24dPD09i81W6+LighYtWuDSpUuYOHFiqdc5ePAgevfuDQAwm82IiYmxDhTu3Lkz1q9fD39/fygUVXsfVSoV2rRpY10XRqWy/GURRdFaJjU1FfHx8fjqq6/Qq1cvAMDevXuL1NW+fXt06dIFy5cvx5o1a/D5559bj3Xq1AmiKCI5OdlaR2W1adMGzs7OOHPmDAICAgDAOvA5ISEBffr0KfX8gwcPws/PD4AlcDp//ry1pwwAfH19MX36dOsMquXLl5cr6AkODsbevXvx+OOPW/ft378fwcHBFX6Np06dwr/+9a8Kn8cYY3VNtfy1L883zJJERESUeXujMLVaXa5vz/VZamoqxo0bhyeffBIdOnSAk5MTjh49ig8//BCjRo0q9pyJEyfio48+wqhRozB//nz4+PggISEBGzZswGuvvQYfHx+8/fbbePHFF+Hs7IyhQ4fCYDDg6NGjSE9Ptwkkv/jiC9x///0IDg7Gf//7X6Snp+PJJ58EADz//PNYvnw5HnnkEbz22mvw8PDAhQsXsHbtWixfvrzEXqPffvsNa9euxcMPP4yAgAAQETZv3owtW7Zg5cqVAICWLVtCEAT89ttvePDBB6HVaq0z0ZYtW4bmzZsjISGhSM9igWnTpmHGjBlwcHDA6NGjrfsDAgIwceJEPP744/jkk0/QqVMnpKSkYOfOnWjfvj0efPDBcv9sZDIZBg4ciL179+Khhx4CADg5OeHVV1/Fyy+/DEmS8MADDyArKwv79++HTqfD5MmTrefPnz8f7u7u8PLywty5c+Hh4WGtZ+bMmRg6dCgCAgKQnp6OnTt3ljtoee211zB+/Hh07twZAwYMwObNm7Fhwwb89ddf5X5tgGUG340bNzBw4MAKnVfXSJKInBTLFy+dR7OqpaHIS0ee0QyDyhWuDqpqTUPBGLOzqgwIwj0DmQ0GA8nlctqwYYNNuRdffJF69+5dlUuVW0UHMtcHer2eZs2aRZ07dyYXFxdycHCgwMBAeuONNygvL89a7t6fR2JiIj3++OPk4eFBarWaWrduTU899ZTNe/P9999Tx44dSaVSUZMmTah3797Wn1/BQOY1a9ZQ9+7dSaVSUXBwMO3YscOmfefPn6fRo0eTq6srabVaCgoKopkzZ1oHUffp04deeuklm3MuXrxITz31FAUEBJBWqyVXV1fq2rUrrVy50qbc/PnzqVmzZiQIAk2ePJmIiLZv307BwcGkVqupQ4cOFB0dXeyg+uzsbHJwcKDnnnuuyHtqNBrprbfeIn9/f1IqldSsWTMaPXo0nThxgoiKDgwuzdatW6lFixbW2WNEllmBixYtosDAQFIqldS0aVOKjIwsMvtq8+bN1K5dO1KpVNS1a1ebgdMzZsygNm3akFqtpqZNm9KkSZOss+bKGshMRLRkyRJq3bo1KZVKCggIoG+//dbmeHHvmYuLi83P4P3336fIyMhyvQ91GQ9kZqzuq5Ozt2xOLuZDs1u3bvTss8/a7AsODqZZs2ZV5VLl1hCDntpSEPTExsbWdlMqJSEhgWQyGcXExFTrdSRJom7duhWZCVea8s5Mq016vZ58fX1p7969td2UKhPNZsr4J54y/okn0WyuQkUiSSkXKPfmObp8O4unrDNmRzUR9FT49lZOTg4uXLhgfX758mXExcXBzc0Nfn5+iIqKwqRJk9ClSxeEh4dj2bJlSEhIwPTp06vYJ8VY+ZhMJiQmJmLWrFno0aMHOnfuXK3XEwQBy5Ytq9Dsqvrg6tWrmDt3bpFZYPWRTC6Hy31BZRcssyIZBPc2cADgX/XaGGM1rMJBz9GjR60r5QKwjv2YPHkyVq1ahQkTJiA1NRXz589HYmIiQkJCsGXLFuvMGcaq2759+9CvXz8EBATYrIJcnUJDQxEaGloj16opAQEB1sHZjDHWEAhERLXdCHvKysqCi4sLMjMzi8xa0uv1uHz5Mlq1amWzrgpjjNVF/JnFGpPS/n7bS/2cq80YYxUgimbk/XMOAOBwfyDk8kp+9Eki6PY5mEQJV2S+uM/TmTOtM1aPcNDDGGv4CFCYybpdFYJogAqA0SxVtSrGWA3joIcx1uDJZDKQn7d1u9IEGcj9fuhNIlopHTgNBWP1DAc9jLEGT5DJ4OBc8sru5a9IgKDWQduw10NlrMGqwlcexhhjjLH6g3t6GGMNniRJyE27BQBwdPOq/C0uIlB+BvJMIsxKZzhrleVOscMYq33c09OACIJQYgJSVr3efPNNPP3007XdDPzrX//Cp59+WtvNqHNIkqBISoUiKRV0Txb5ClYEIeMKHHOv4VpaLiQeycxYvcJBTz2RnJyMZ555Bn5+flCr1WjWrBkiIyNx4MCB2m5apcXGxmL48OHw9PSERqOBv78/JkyYgJSUFABAdHQ0BEFARkZG7Ta0DLdu3cKiRYswZ86ccpWfMmWKNamovb311lt47733kJWVVS3111sCYFTLYVTLgSp1zAgglQ75ghYOKkXVqmKM1Ti+vVVPjB07FiaTCatXr0br1q1x69Yt7NixA2lpabXdtAozGo3IyMjAwIEDMWLECGzbtg2urq64fPkyNm3ahLy8vNpuYhGiKEIQhGJvi3zzzTcIDw+Hv79/zTfsHh06dIC/vz++//57PPvss7XdnDpDLlfA5f7yZagvlUwGweN+aAG0rnptjLGaVm1ZvWpJQ0w4mp6eTgAoOjq61HK4JwHs9evXafz48eTq6kpubm40cuRIunz5ss05K1asoKCgIFKr1RQYGEhffPGF9VhBwtEffviBwsPDSa1WU9u2bWnXrl02dZw+fZqGDh1Kjo6O5OnpSY899hjdvn3berxPnz70/PPP08svv0zu7u7Uu3dv2rhxIykUCjKVkPG64NqFHwVZ1v/44w/q2bMnubi4kJubGw0bNowuXLhgPbdfv370/PPP29SXkpJCKpXKmiHeYDDQa6+9Rt7e3uTg4EDdunWzeV0FWcs3b95MwcHBJJfL6dKlS8W2tX379rR48WKbfT/99BOFhISQRqMhNzc3GjBgAOXk5NC8efOKvK6C65b185o8eTKNGjWK3n77bWratCk5OTnR008/TQaDwebab7/9NvXq1avYtrL6pb5+ZjFWGTWRcJRvbxEBxtyaf1Qg+4dOp4NOp8Mvv/wCg8FQrnPy8vLQr18/6HQ67NmzB3v37oVOp8OQIUNgNBoBAMuXL8fcuXPx3nvvIT4+Hu+//z7efPNNrF692qau1157Da+88gpiY2MRERGBkSNHIjU1FQCQmJiIPn36oGPHjjh69Ci2bt2KW7duYfz48TZ1rF69GgqFAvv27cNXX32FZs2awWw2Y+PGjaBi3gtfX1+sX78eAHDu3DkkJiZi0aJFAIDc3FxERUXhyJEj2LFjB2QyGUaPHg3pzliNadOmYc2aNTbv1ffffw9vb29r3rgnnngC+/btw9q1a3HixAmMGzcOQ4YMwT///GPzHi5YsABff/01Tp8+DU9PzyLtTE9Px6lTp9ClSxfrvsTERDzyyCN48sknER8fj+joaIwZMwZEhFdffRXjx4/HkCFDkJiYiMTERERERJTr5wUAO3bsQHx8PHbt2oUffvgBGzduxDvvvGPTpm7duuHw4cPl/r/CGGONRrWFU7Wkwj09hhyiec41/zDkVOh1/fzzz9SkSRPSaDQUERFBs2fPpuPHj9uUQaGenm+++YYCAwNJkqS7L9VgIK1WS9u2bSMiIl9fX1qzZo1NHf/5z38oPDyciO72tnzwwQfW4yaTiXx8fGjhwoVERPTmm2/S4MGDbeq4du0aAaBz584RkaWnp2PHjkVe05w5c0ihUJCbmxsNGTKEPvzwQ0pKSrIe37VrFwGg9PT0Ut+b5ORkAkAnT54kIiK9Xk9ubm60bt06a5mOHTvS22+/TUREFy5cIEEQ6MaNGzb1DBgwgGbPnk1Elp4eABQXF1fqtWNjYwkAJSQkWPfFxMQQALpy5Uqx5xT02BRWnp/X5MmTyc3NjXJzc61lli5dSjqdjkRRtO47fvx4qddvjMxmE2WePU2ZZ0+T2Vx872K5iCJJt+Ip/8Yp+icpk0RRKvucKuCeHtaYcE8Psxo7dixu3ryJTZs2ITIyEtHR0ejcuTNWrVpVbPmYmBhcuHABTk5O1p4iNzc36PV6XLx4Ebdv38a1a9cwdepU63GdTod3330XFy9etKkrPDzcuq1QKNClSxfEx8dbr7Nr1y6bOoKCggDApp7CPSEF3nvvPSQlJeHLL79E27Zt8eWXXyIoKAgnT54s9b24ePEiHn30UbRu3RrOzs5o1aoVACAhIQEAoFar8dhjj2HFihUAgLi4OBw/fhxTpkwBABw7dgxEhICAAJt2796926bNKpUKHTp0KLUt+fn5AGCTDDI0NBQDBgxA+/btMW7cOCxfvhzp6eml1lPWz6tw3Q4ODtbn4eHhyMnJwbVr16z7tFotANTJsVG1hgClSYLSJFUxDQVBMOdDAyP0JpHTUDBWz/BAZqUDMOdm7Vy3gjQaDQYNGoRBgwbhrbfewrRp0zBv3jzrH/PCJElCWFgYvv/++yLHmjZtCr1eD8Byi6t79+42x+VyeZltKVibRJIkjBgxAgsXLixSpnnz5tZtR0fHYutxd3fHuHHjMG7cOCxYsACdOnXCxx9/XOQWW2EjRoyAr68vli9fDm9vb0iShJCQEJvbQNOmTUPHjh1x/fp1rFixAgMGDEDLli2tbZbL5YiJiSnyWnU6nXVbq9WWuQaLh4cHAMttrqZNmwKwvH/bt2/H/v378eeff+Lzzz/H3LlzcejQIWuAdq+yfl5lKdzOgsHt5TmvsZDJZJB8vKzblSbIQG5tkG8S0VKp4zQUjNUzHPQIAqAq/g9yXde2bdsS1+Xp3Lkz1q1bB09PTzg7Oxc57uLighYtWuDSpUuYOHFiqdc5ePAgevfuDQAwm82IiYnBjBkzrNdZv349/P39oVBU7b+TSqVCmzZtkJuba30OWGZOFUhNTUV8fDy++uor9OrVCwCwd+/eInW1b98eXbp0wfLly7FmzRp8/vnn1mOdOnWCKIpITk621lFZbdq0gbOzM86cOYOAgADrfkEQ0LNnT/Ts2RNvvfUWWrZsiY0bNyIqKgoqlcrmNQFl/7wKHD9+HPn5+dbenIMHD0Kn08HHx8da5tSpU/Dx8bEGZMyShsLR1Q5BoCBA0DjDQVN2UcZY3cO3t+qB1NRU9O/fH//73/9w4sQJXL58GT/99BM+/PBDjBo1qthzJk6cCA8PD4waNQp///03Ll++jN27d+Oll17C9evXAQBvv/02FixYgEWLFuH8+fM4efIkVq5cWWRxuy+++AIbN27E2bNn8fzzzyM9PR1PPvkkAOD5559HWloaHnnkERw+fBiXLl3Cn3/+iSeffLLIH/bCfvvtNzz22GP47bffcP78eZw7dw4ff/wxtmzZYn1NLVu2hCAI+O2333D79m3k5OSgSZMmcHd3x7Jly3DhwgXs3LkTUVFRxV5j2rRp+OCDDyCKIkaPHm3dHxAQgIkTJ+Lxxx/Hhg0bcPnyZRw5cgQLFy7Eli1byv+DgaXXYODAgTaB16FDh/D+++/j6NGjSEhIwIYNG3D79m0EB1umTPv7++PEiRM4d+4cUlJSYDKZyvXzAizT/adOnYozZ87gjz/+wLx58zBjxgyb3ou///4bgwcPrtDrYIyxRqHaRgvVkoY4ZV2v19OsWbOoc+fO5OLiQg4ODhQYGEhvvPEG5eXlWcvhninriYmJ9Pjjj5OHhwep1Wpq3bo1PfXUUzbvzffff08dO3YklUpFTZo0od69e9OGDRuI6O5A5jVr1lD37t1JpVJRcHCwddp3gfPnz9Po0aPJ1dWVtFotBQUF0cyZM62Dcvv06UMvvfSSzTkXL16kp556igICAkir1ZKrqyt17dqVVq5caVNu/vz51KxZMxIEwTplffv27RQcHExqtZo6dOhA0dHRRV47EVF2djY5ODjQc889V+Q9NRqN9NZbb5G/vz8plUpq1qwZjR49mk6cOEFEd6esl8fWrVupRYsW1sHEZ86cocjISGratCmp1WoKCAigzz//3Fo+OTmZBg0aRDqdzmbKelk/r4IB0G+99Ra5u7uTTqejadOmkV6vt9adn59Pzs7OdODAgXK1vbEQRZGyU29Rduotm0HfFSZJJOVlUG5mKmXmGWwGnleH+vqZxVhl1MRAZoGoAnOn64GsrCy4uLggMzOzyG0CvV6Py5cvo1WrVjYDT1nxrly5glatWiE2NhYdO3as7eZU2LVr1+Dv748jR46gc+fO1XYdIkKPHj0wc+ZMPPLII9V2nSlTpiAjI6PUVCNffPEFfv31V/z555/V1o76SDSbYTx7FgCgCgqCvLK3YiURSDoBADgl+SPY2xXyahzYw59ZrDEp7e+3vfDtLdbgmEwmJCQk4N///jd69OhRrQEPYBm/s2zZMpjN5mq9TnkolUqb8UvsDgEwKWUwKWVVT0OhdIAeamiVck5DwVg9wwOZWYOzb98+9OvXDwEBAfj5559r5JqhoaEIDQ2tkWuVpi4kPa2L5HIFnAPbVr0imQxC00BoALSpem2MsRrGQQ8rkb+/f7GrJdd1ffv2rZftLktJazIxxhgrH769xRhjjLFGgXt6GGMNniiakXPxPABA1yYAcnllBzJLoNQL0JtFJMpbwN/DCTJeoZCxeoODHsZYw0eAyihZt6tSkWDKhRZAnpHTUDBW33DQwxhr8ASZDGJzD+t2FSoCNWmFfKMIX6Ujp6FgrJ7hoIcx1uDJZDLo3JtVvSJBgKB1hYO26lUxxmoeD2RmjDHGWKNQ54Kec+fOoWPHjtaHVqstdQVadpcgCPxe1ZI333yzRtfIiY6OhiAIyMjIAGCZzu7q6lpj169vSJKQm5mC3MwUkCRVoSICGbKRn5OBHL2pSksjLF68GCNHjqx8WxhjFVbngp7AwEDExcUhLi4Oe/fuhaOjIwYNGlTbzap1ycnJeOaZZ+Dn5we1Wo1mzZohMjISBw4cqO2mVVpsbCyGDx8OT09PaDQa+Pv7Y8KECUhJSQFQ9A97XXXr1i0sWrQIc+bMqbFrRkREIDExES4uLjV2zeKsWrUKgiBYH15eXhgxYgROnz5d7ddOSEjAiBEj4OjoCA8PD7z44oswGo3FlpUkCbJrSTBdTMALL7wADw8PODo6YuTIkTYJXQEgPT0dkyZNgouLC1xcXDBp0qS7/wdJgpB6Abfj92P4iBHQ6XTFXluv12PKlClo3749FAoFHnrooSJteuqpp3DkyBGbZLWMsepV54KewjZt2oQBAwbA0dGxtptS68aOHYvjx49j9erVOH/+PDZt2oS+ffsiLS2ttptWYUajEcnJyRg4cCA8PDywbds2xMfHY8WKFWjevDny8vJqu4lFiKIIqYQegm+++Qbh4eHw9/evsfaoVCo0a9YMglD7I2mdnZ2RmJiImzdv4vfff0dubi6GDRtWYgBiD6IoYtiwYcjNzcXevXuxdu1arF+/Hq+88krxJwiAWSHg1Q8X4pdff8XatWuxd+9e5OTkYPjw4RBF0Vr00UcfRVxcHLZu3YqtW7ciLi4OkyZNsh43C0o8+PhMGPLzsGfP38VeWxRFaLVavPjiixg4cGCxTVKr1Xj00Uc5bQhjNamiGUp3795Nw4cPp+bNmxeb2ZqI6IsvviB/f39Sq9XUuXNn2rNnT6WyoY4aNYrWr19foXMaYpb19PR0AkDR0dGllrv353H9+nUaP348ubq6kpubG40cOZIuX75sc86KFSsoKCiI1Go1BQYG0hdffGE9VpBl/YcffqDw8HBSq9XUtm1ba1bwAqdPn6ahQ4eSo6MjeXp60mOPPUa3b9+2Hu/Tpw89//zz9PLLL5O7uzv17t2bNm7cSAqFgkwmU7GvpeDahR8FWdb/+OMP6tmzJ7m4uJCbmxsNGzaMLly4YD23X79+9Pzzz9vUl5KSQiqVypoh3mAw0GuvvUbe3t7k4OBA3bp1s3ldBVnWN2/eTMHBwSSXy+nSpUvFtrV9+/a0ePFim32SJNHChQupVatWpNFoqEOHDvTTTz9Zj+/atYsA0G+//UYdOnQgtVpN3bp1s2Z5JyK6cuUKDR8+nFxdXcnBwYHatm1Lv//+u8356enpNu0tbMmSJdS6dWtSKpUUEBBA3377rc1xALR8+XJ66KGHSKvV0n333Ue//vprsa+xJMVdd9OmTQTA5rXY25YtW0gmk9GNGzes+3744QdSq9UlZmjOyMggpVJJa9eute67ceMGyWQy2rp1KxERnTlzhgDQwYMHrWUOHDhAAOjs2bOVuvbkyZNp1KhRxbYpOjqaVCoV5eXlFXu8vn5mMVYZNZFlvcI9Pbm5uQgNDcXixYuLPb5u3TrMnDkTc+fORWxsLHr16oWhQ4ciISHBWiYsLAwhISFFHjdv3rSWycrKwr59+/Dggw9WtIkVQkTIM+XV+IMqMBZAp9NBp9Phl19+gcFgKNc5eXl56NevH3Q6Hfbs2YO9e/dCp9NhyJAh1m/gy5cvx9y5c/Hee+8hPj4e77//Pt58802sXr3apq7XXnsNr7zyCmJjYxEREYGRI0ciNTUVAJCYmIg+ffqgY8eOOHr0KLZu3Ypbt25h/PjxNnWsXr0aCoUC+/btw1dffYVmzZrBbDZj48aNxb4Xvr6+WL9+PQDLOK/ExEQsWrQIgOX/YFRUFI4cOYIdO3ZAJpNh9OjR1p6YadOmYc2aNTbv1ffffw9vb2/069cPAPDEE09g3759WLt2LU6cOIFx48ZhyJAh+Oeff2zewwULFuDrr7/G6dOn4enpWaSd6enpOHXqFLp06WKz/4033sDKlSuxdOlSnD59Gi+//DIee+wx7N69u8h7+/HHH+PIkSPw9PTEyJEjYTKZAADPP/88DAYD9uzZg5MnT2LhwoXQ6XTF/rzvtXHjRrz00kt45ZVXcOrUKTzzzDN44oknsGvXLpty77zzDsaPH48TJ07gwQcfxMSJE6vUe5iRkYE1a9YAsCQ/LUlCQoL1/3VJj+nTp5d4/oEDBxASEgJvb2/rvsjISBgMBsTExBR7TkxMDEwmEwYPHmzd5+3tjZCQEOzfv99ar4uLC7p3724t06NHD7i4uNiUqei1S9KlSxeYTCYcPny4QucxxiqnwlPWhw4diqFDh5Z4/NNPP8XUqVMxbdo0AMBnn32Gbdu2YenSpViwYAEAlOuD4ddff0VkZCQ0Gk2p5QwGg80ft6ysrPK8DKt8cz66r+ledkE7O/ToITgoHcpVVqFQYNWqVXjqqafw5ZdfonPnzujTpw8efvhhdOjQodhz1q5dC5lMhq+//tp6C2TlypVwdXVFdHQ0Bg8ejP/85z/45JNPMGbMGABAq1atcObMGXz11VeYPHmyta4ZM2Zg7NixAIClS5di69at+Oabb/D6669j6dKl6Ny5M95//31r+RUrVsDX1xfnz59HQEAAAOC+++7Dhx9+aNPGOXPm4NFHH8X06dPRrVs39O/fH48//ji8vLwgl8vh5uYGAPD09LQZpFvQlgLffPMNPD09cebMGYSEhGDs2LF44YUX8Ouvv1qDr5UrV2LKlCkQBAEXL17EDz/8gOvXr1v/cL366qvYunUrVq5caX0tJpMJS5YsKTWR6NWrV0FENn8Ac3Nz8emnn2Lnzp0IDw8HALRu3Rp79+7FV199hT59+ljLzps3zzpmbfXq1fDx8cHGjRsxfvx4JCQkYOzYsWjfvr21jvL6+OOPMWXKFDz33HMAgKioKBw8eBAff/yxNfADgClTpuCRRx4BALz//vv4/PPPcfjwYQwZMqTc18rMzIROp7N8gbhza3LkyJEICgoq8Rxvb2/ExcWVWq+zs3OJx5KSkuDl5WWzr0mTJlCpVEhKSirxHJVKhSZNmtjs9/Lysp6TlJRUbHDr6elpU6ai1y6Jo6MjXF1dceXKFZv/F4yx6mHXMT1GoxExMTE236QAYPDgwdZvSeX1448/YsKECWWWW7BggXXAoYuLC3x9fSt0nfpi7NixuHnzJjZt2oTIyEhER0ejc+fOJSahjImJwYULF+Dk5GT95uzm5ga9Xo+LFy/i9u3buHbtGqZOnWrz7frdd9/FxYsXbeoq+MMNWAKwLl26ID4+3nqdXbt22dRR8MeucD339oQAwHvvvYekpCR8+eWXaNu2Lb788ksEBQXh5MmTpb4XFy9exKOPPorWrVvD2dkZrVq1AgBrb6JarcZjjz2GFStWAADi4uJw/PhxTJkyBQBw7NgxEBECAgJs2r17926bNqtUqhKDygL5+fkAYBOcnzlzBnq9HoMGDbKp/9tvvy31vXVzc0NgYKD1vX3xxRfx7rvvomfPnpg3bx5OnDhRalsKi4+PR8+ePW329ezZ01p3gcKvz9HREU5OTkhOTi73dQDAyckJcXFxiImJwZdffok2bdrgyy+/LPUchUKB++67r9RHccFHYcWNZyKiYveLohl5STcAIoiiudRzSq1XkkD6TEjGPFy+nQ1JohLrKS+tVlsnx7Ex1hDZdXHClJQUiKJY5FtQ4W9S5ZGZmYnDhw9bb2+UZvbs2YiKirI+z8rKqlDgo1VocejRQ+Uuby9aRcVXN9NoNBg0aBAGDRqEt956C9OmTcO8efOsf8wLkyQJYWFh+P7774sca9q0KfR6PQDLLa7CXfkAIJfLy2xLwYe7JEkYMWIEFi5cWKRM8+bNrdslDUZ3d3fHuHHjMG7cOCxYsACdOnXCxx9/XOQWW2EjRoyAr68vli9fDm9vb0iShJCQEJuBs9OmTUPHjh1x/fp1rFixAgMGDEDLli2tbZbL5YiJiSnyWgvfPtJqtWX+EfPwsKzym56ejqZNm1rrB4Dff/8dLVq0sCmvVqtLrQ+4+95OmzYNkZGR+P333/Hnn39iwYIF+OSTT/DCCy+UWUfhegoU90f53ltQgiCUOGC7JDKZDPfddx8AICgoCElJSZgwYQL27NlT4jkJCQlo27ZtqfU+9thjJQZPzZo1w6FDtr+36enpMJlMRT5/AAAEtHBxg9FkQnpaOjzu/KwAy8zIiIgIa723bt0qcvrt27fv1Eto7u6Cw0djkWswW9NQlHrtMqSlpVn/7zDGqle1rMhcng/b0ri4uBT7wVMctVpdrj8kJREEody3meqatm3blrguT+fOnbFu3Tp4enoWe5vAxcUFLVq0wKVLlzBx4sRSr3Pw4EH07t0bAGA2mxETE4MZM2ZYr7N+/Xr4+/tDoajafyeVSoU2bdogNzfX+hyAzcya1NRUxMfH46uvvkKvXr0AoNgpv+3bt0eXLl2wfPlyrFmzxmaGTKdOnSCKIpKTk611VFabNm3g7OyMM2fOWG/ltW3bFmq1GgkJCWXesjh48CD8/PwAWP5wnj9/3ua2kK+vL6ZPn47p06dj9uzZWL58ebmCnuDgYOzduxePP/64dd/+/fsRHBxcmZdZIS+//DI+/fRTbNy4EaNHjy62TFVvb4WHh+O9995DYmKiNbj+888/oVarERYWVqS8IJOhfd+eUCqV+GvHDjz88MMALGPSTp06Zb31Gh4ebv3S1a1bNwDAoUOHkJmZaQmMBBl69B6I9/7vGygMmZAJrmVeuzQXL16EXq9Hp06dKnQeY6ySqjIKGvfMFjIYDCSXy2nDhg025V588UXq3bt3VS5Vbg1x9lZKSgr169ePvvvuOzp+/DhdunSJfvzxR/Ly8qInn3zSWq7wzyM3N5fuv/9+6tu3L+3Zs4cuXbpE0dHR9OKLL9K1a9eIiGj58uWk1Wrps88+o3PnztGJEydoxYoV9MknnxDR3RlUfn5+tGHDBoqPj6enn36adDqddXbWjRs3qGnTpvSvf/2LDh06RBcvXqRt27bRE088QWazmYgss7deeuklm9e0efNmmjhxIm3evJnOnTtHZ8+epY8++ojkcrl1ltH169dJEARatWoVJScnU3Z2NomiSO7u7vTYY4/RP//8Qzt27KCuXbsWO5Nw2bJlpFKpyNXVtcjPfOLEieTv70/r16+nS5cu0eHDh+mDDz6wzo4qblZSScaMGUOvvPKKzb65c+eSu7s7rVq1ii5cuEDHjh2jxYsX06pVq4jo7uyrdu3a0V9//UUnT56kkSNHkp+fHxkMBiIieumll2jr1q106dIliomJoW7dutH48eNtzi9p9tbGjRtJqVTS0qVL6fz58/TJJ5+QXC63maFW3Hvm4uJCK1euLNfrLu19ioqKovbt25MkSeWuqyLMZjOFhITQgAED6NixY/TXX3+Rj48PzZgxw1rm+vXrFBgYSIcOHbLumz59Ovn4+NBff/1Fx44do/79+1NoaKj1/yoR0ZAhQ6hDhw504MABOnDgALVv356GDx9eoWsTWWY1xsbG0ogRI6hv374UGxtLsbGxNmVWrlxJrVu3LvF11tfPLMYqoyZmb9k16CEi6tatGz377LM2+4KDg2nWrFlVuVS5NcSgR6/X06xZs6hz587k4uJCDg4OFBgYSG+88YbNVNd7fx6JiYn0+OOPk4eHB6nVamrdujU99dRTNu/N999/Tx07diSVSkVNmjSh3r17W4PWgqBnzZo11L17d1KpVBQcHGyd9l3g/PnzNHr0aHJ1dSWtVktBQUE0c+ZM6x+84oKeixcv0lNPPUUBAQGk1WrJ1dWVunbtWuQP7vz586lZs2YkCIJ1yvr27dspODiY1Go1dejQgaKjo4v9v5idnU0ODg703HPPFXlPjUYjvfXWW+Tv709KpZKaNWtGo0ePtk6zrkjQs3XrVmrRogWJomjdJ0kSLVq0iAIDA0mpVFLTpk0pMjKSdu/eTUR3g5bNmzdTu3btSKVSUdeuXSkuLs5ax4wZM6hNmzakVqupadOmNGnSJEpJSbE5v6pT1ssKelq2bEnz5s0r8bWX9D5dvXqVFAoFrVu3rsRzq+rq1as0bNgw0mq15ObmRjNmzCC9Xm89XvD/t3Cgl5+fTzNmzCA3NzfSarU0fPhwSkhIsKk3NTWVJk6cSE5OTuTk5EQTJ060vs/lvTaR5b3DPcsu3Ps9c/DgwbRgwYISX2N9/cxirDLqZNCTnZ1t/cYCgD799FOKjY2lq1evEhHR2rVrSalU0jfffENnzpyhmTNnkqOjI125csXujS9OQwx6akvBH417v53WFwkJCSSTySgmJqZaryNJEnXr1o3WrFlT7nPuDVrqory8PNJoNLRz587abkqVSaJIeVlplJeVRlKh4LTiFUkkGXIoPyeLcvWmKvVknTx5kjw9PSkjI6PEMvyZxRqTmgh6KjwI4+jRozZTXgsGEU+ePBmrVq3ChAkTkJqaivnz5yMxMREhISHYsmWLdRApY9XNZDIhMTERs2bNQo8ePdC5c+dqvZ4gCFi2bFmFZlfVB7t370b//v1tft/rK0mSgKs3LNtBTpDLKjlxlSQIKeehAXBK8kewtyvklVwU++bNm/j2229rPZUIY41JhYOevn37lrmw3nPPPWddH4SxmrZv3z7069cPAQEB+Pnnn2vkmqGhoaWu51MfDRkypELr9dRpAiAWRCdVzNxBchVMogSlXFalqu5d2oMxVv2qZfYWaxj8/f2rlEW6tpQnMK9t9aGNDYlcroAuuF3VK5LJIXi1gwpAYNVrY4zVsDqdcJQxxhhjzF446GGMMcZYo8C3txhjDZ4kisi+Ykkm6+R/P2TlWHW8+IokUPoV5JvMuK3whq+bI2SyKg4SYozVGA56GGMNHhFBlW+2blehJgiGTDgAyNabwKOyGKtfOOhhjDV4gkyAqakrAEBdlZ4ZQQC5+CLPYIa3SotK5BdljNUiDnoYYw2eTCaHs5dP1SsSZBAcPeDoCBSfQpcxVpfxQOYGRBCEEhOQsur15ptv4umnn67tZrBqZDAY4Ofnh5iYmNpuCmOskjjoqSeSk5PxzDPPwM/PD2q1Gs2aNUNkZCQOHDhQ202rtNjYWAwfPhyenp7QaDTw9/fHhAkTkJKSAgCIjo6GIAjIyMio3YaW4datW1i0aBHmzJlTrvJTpkzBQw89VL2NKoW/vz8EQYAgCNBqtQgKCsJHH31UI+sGLVmyBK1atYJGo0FYWBj+/vvvMs/ZvXs3wsLCoNFo0Lp1a3z55ZdFyqxfv96a3b5t27bYuHGjzXEiwqL/fgJ//5YlXnvDhg2IjIyEh4cHBEEokgVerVbj1Vdewb9ffw2G/FzoTWZea4mxeoaDnnpi7NixOH78OFavXo3z589j06ZN6Nu3L9LS0mq7aRVmNBqRnJyMgQMHwsPDA9u2bUN8fDxWrFiB5s2bIy8vr7abWIQoipZUBsX45ptvEB4eDn9//5ptVBUUpImJj4/Hq6++ijlz5mDZsmXVes1169Zh5syZmDt3LmJjY9GrVy8MHToUCQkJJZ5z+fJlPPjgg+jVqxdiY2MxZ84cvPjii1i/fr21zIEDBzBhwgRMmjQJx48fx6RJkzB+/HgcOnTIWmbtDz/gtddn4fUnnsTRI0eKvXZubi569uyJDz74oMT2THz0Efy9dy8uHd6KC7eyIXHMw1j9Um1ZvWpJQ0w4mp6eTgAoOjq61HK4J2v29evXafz48eTq6kpubm40cuRIunz5ss05K1asoKCgIFKr1RQYGEhffPGF9VhBwtEffviBwsPDSa1WU9u2bW2yVhMRnT59moYOHUqOjo7k6elJjz32GN2+fdt6vE+fPvT888/Tyy+/TO7u7tS7d2/auHEjKRQKMplMxb6WgmsXfhRkWf/jjz+oZ8+e5OLiQm5ubjRs2DC6cOGC9dx+/frR888/b1NfSkoKqVQqa4Z4g8FAr732Gnl7e5ODgwN169bN5nUVZA/fvHkzBQcHk1wup0uXLhXb1vbt29PixYtt9v30008UEhJCGo2G3NzcaMCAAZSTk0Pz5s0r8roKrlvWz2vy5Mk0atQoevvtt6lp06bk5ORETz/9NBkMhmLbVZKWLVvSf//7X5t9nTt3pjFjxlSonorq1q0bTZ8+3WZfUFAQzZo1q8RzXn/9dQoKCrLZ98wzz1CPHj2sz8ePH09DhgyxKRMZGUkPP/yw9XnXrl1p6oTxlHP6JJnv/J8r6dqlJtoVzdQ3oivNnfk0nbmRTmax8glHy6O+fmYxVhk1kXC00ff0EBGkvLwaf1AFusV1Oh10Oh1++eUXGAyGcp2Tl5eHfv36QafTYc+ePdi7dy90Oh2GDBkCo9EIAFi+fDnmzp2L9957D/Hx8Xj//ffx5ptvYvXq1TZ1vfbaa3jllVcQGxuLiIgIjBw5EqmpqQCAxMRE9OnTBx07dsTRo0exdetW3Lp1C+PHj7epY/Xq1VAoFNi3bx+++uorNGvWDGazGRs3biz2vfD19bV+mz937hwSExOxaNEiAJZv5FFRUThy5Ah27NgBmUyG0aNHW3tipk2bhjVr1ti8V99//z28vb2tyTOfeOIJ7Nu3D2vXrsWJEycwbtw4DBkyBP/884/Ne7hgwQJ8/fXXOH36NDw9PYu0Mz09HadOnUKXLl2s+xITE/HII4/gySefRHx8PKKjozFmzBgQEV599VWMHz8eQ4YMQWJiIhITExEREVGunxcA7NixA/Hx8di1axd++OEHbNy4Ee+8805Z/x1KRESIjo5GfHw8lEplqWWnT59u/b9Y0qOkXhuj0YiYmJgi+aYGDx6M/fv3l3jNAwcOFDknMjISR48ehclkKrVMQb1GoxHHjh3DsAkPw7FtCOQKRbmuXSyZHN0e6Id9cectyUZ5jR7G6pdqC6dqSUV7esTcXDoTGFTjDzE3t0Kv6+eff6YmTZqQRqOhiIgImj17Nh0/ftymDAr19HzzzTcUGBhIknT3m6jBYCCtVkvbtm0jIiJfX19as2aNTR3/+c9/KDw8nIjufuP94IMPrMdNJhP5+PjQwoULiYjozTffpMGDB9vUce3aNQJA586dIyJLT0/Hjh2LvKY5c+aQQqEgNzc3GjJkCH344YeUlJRkPb5r1y4CQOnp6aW+N8nJyQSATp48SUREer2e3NzcaN26ddYyHTt2pLfffpv+v717D4rqPP8A/l32xgK6yN1VuRglqIvIxSpqVYLGWmMSk9LGIGISbGyKijapJDqacUKgaZKaOlEjozitWo2BdLT6U9cEsAqIw0VRvAIKchE03Lwst31+f1BOXHdZLgKC+3xmzgx7zrPve/ZZ2H0457znJSK6fv06iUQiKi0t1WsnODiYPvzwQyJqPdIDgHJzc032nZOTQwCouLhYWJeVlUUA6MaNG0af03bE5lGdeb/Cw8PJzs6O7j/yu7N161aysbGhlpYWk/v5KDc3N5LJZGRtbU1SqZQAkKWlJZ0+fdrk827fvk3Xrl0zubR35K60tJQAGPQRExNDnp6e7fY5evRoiomJ0Vt3+vRpAkBlZWVERCSVSmnPnj16MXv27CGZTNatvk0e6SGir776itzd3dvd557ER3qYOeEjPUzw+uuvo6ysDAcPHsScOXOQkpICPz8/7Nq1y2h8VlYWrl+/jkGDBgn/hdvZ2UGr1aKgoABVVVUoKSnBO++8o/ef+ieffIKCggK9tgIDA4WfJRIJAgICcOnSJaGf5ORkvTa8vLwAQK+dR4+EtImJiUFFRQW2bduGsWPHYtu2bfDy8kJeXp7JXBQUFODNN9/EyJEjMXjwYHh4eACAcJRBLpdj0aJF2LlzJwAgNzcX586dw5IlSwAA2dnZICJ4enrq7XdqaqrePstkMowfP97kvjx8+BAAYGlpKazz8fFBcHAwvL29ERISgvj4eFRXV5tsp6P369G2rayshMeBgYG4d+8eSkpKTLb/uA8++AC5ublITU1FUFAQ1q5diylTpph8jpOTE0aNGmVykUhM3wVD9NiNbYjIYF1nnvP4+s60252+jVEoFP3yujPGWMfM/j49IoUCz2f3/RBUkULR5edYWlpi9uzZmD17NtavX4+IiAhs2LBB+DJ/lE6ng7+/P/bs2WOwzdHREVqtFkDrKa5JkybpbRd34hb9bV8WOp0O8+fPx1/+8heDmKFDhwo/W1sbv6uJvb09QkJCEBISgtjYWPj6+uLzzz83OMX2qPnz52PEiBGIj4+HSqWCTqeDWq3WOw0UERGBCRMm4NatW9i5cyeCg4Ph5uYm7LNYLEZWVpbBa7WxsRF+VigUHX4pOjg4AGg9zeXo6AigNX8ajQZpaWk4fvw4Nm/ejLVr1+LMmTNCgfa4jt6vjnT1y9vBwUEoVBITEzFq1ChMnjwZs2bNavc5y5Ytw+7du022m5+fD1dXV6P9icViVFRU6K2vrKyEs7Nzu+25uLgYfY5EIoG9vb3JmLZ22/ouOJeFMS52GOw6ChZicYd9G6XT4e6tAtgPUaLk7j0MG8LTUDA2kHDRIxJB9Mh/zgPJ2LFj270vj5+fH/bv3w8nJycMHjzYYLtSqcSwYcNQWFiI0NBQk/1kZGRg+vTpAIDm5mZkZWUhMjJS6CcxMRHu7u4d/pffEZlMhueeew73798XHgOtI6fa3L17F5cuXcI333yDX/7ylwCAU6dOGbTl7e2NgIAAxMfHY+/evdi8ebOwzdfXFy0tLaisrBTa6K7nnnsOgwcPRn5+Pjw9PYX1IpEIU6dOxdSpU7F+/Xq4ubnh+++/x+rVqyGTyfReE9Dx+9Xm3LlzePjwIRT/K5ozMjJgY2OD4cO7f+O9IUOGYPny5Xj//feRk5PTbgG1ceNGvP/++ybbUqlURtfLZDL4+/tDo9FgwYIFwnqNRoNXXnml3fYCAwNx6NAhvXXHjx9HQECAcA1SYGAgNBoNVq1apRfTduRKJpPBz88PJ1NO4fVpM4UjRR31bRzh4oU8+I8bjdqHTVAN6eLTGWNPV6+dOHtKnsXRW3fu3KGgoCD65z//SefOnaPCwkL69ttvydnZmd5++20hDo9c03P//n0aPXo0zZw5k06ePEmFhYWUkpJCK1asoJKSEiIiio+PJ4VCQZs2baIrV67Q+fPnaefOnfTFF18Q0c/XNri6ulJSUhJdunSJfv/735ONjY0wOqu0tJQcHR3pN7/5DZ05c4YKCgro2LFj9NZbb1FzczMRtV7Ts3LlSr3XdOjQIQoNDaVDhw7RlStX6PLly/TXv/6VxGIx/eMf/yCi1tFMIpGIdu3aRZWVlVRfX08tLS1kb29PixYtomvXrtEPP/xAEydONBi5RkS0fft2kslkZGtra/Ceh4aGkru7OyUmJlJhYSFlZmZSXFwcHT58mIh+Hr3VGa+99hr96U9/Eh5nZGRQTEwMnT17lm7evEnffvstyWQyOnLkCBG1Xkvi6upKly9fpqqqKmpsbOzU+xUeHk42Nja0cOFCunjxIh05coScnZ1Njn4yxtjorcrKSrK0tKQDBw50qa2u2LdvH0mlUtqxYwfl5+dTVFQUWVtb6137FB0dTWFhYcLjwsJCsrKyolWrVlF+fj7t2LGDpFIpfffdd0LM6dOnSSwWU1xcHF26dIni4uJIIpFQRkaGELN3716SSqW0+YvP6MKFPKN93717l3Jycujw4cMEgPbt20c5OTlUXl7+84vQtZCb6wjavuUrqqp7SC06Hr3FWE/pi2t6uOgZALRaLUVHR5Ofnx8plUqysrKi559/ntatW0cPHjwQ4h7/4i8vL6fFixeTg4MDyeVyGjlyJC1dulQvN3v27KEJEyaQTCajIUOG0PTp0ykpKYmIfi569u7dS5MmTSKZTEZjxowRhn23uXr1Ki1YsIBsbW1JoVCQl5cXRUVFCRflGit6CgoKaOnSpeTp6UkKhYJsbW1p4sSJlJCQoBe3ceNGcnFxIZFIJAxZ12g0NGbMGJLL5TR+/HhKSUkxWvTU19eTlZUVvffeewY5bWxspPXr15O7uztJpVJycXGhBQsW0Pnz54moa0XP0aNHadiwYcLFxPn5+TRnzhxydHQkuVxOnp6etHnzZiG+srKSZs+eTTY2NnpD1jt6v9ougF6/fj3Z29uTjY0NRUREkFarFdpuuwDbFGNFDxHR0qVLady4cV26KLqrvv76a+FCaj8/P0pNTdXbHh4eTjNmzNBbl5KSQr6+viSTycjd3Z22bt1q0O6BAwfo+eefJ6lUSl5eXpSYmNjlvtty9/iyYcMGISYtLY1sbW31/u5600D9zGKsO/qi6BERPVu3FK2rq4NSqURtba3BaQKtVouioiLhjrDMtBs3bsDDwwM5OTmYMGHC096dLispKYG7uzvOnj0LPz+/XuuHiDB58mRERUVh4cKFvdbPkiVLUFNTY3KqkY8//hgpKSlISUnptf0wZyEhIfD19e303befFH9mMXNi6vu7p/DoLfbMaWpqQnFxMdasWYPJkyf3asEDtF6/s337djQ3N/dqP51x7NgxfPbZZ097N/odIkKj9j4atfe7PXVEQ0MDfMaPR9Ty99DYoEVjcwtPQ8HYAGP2FzKzZ8/p06cRFBQET09PfPfdd33Sp4+PD3x8fPqkL1MG8lxsvUnX0oKW60UAALGXl3CDwq6Qy+VYt/YjoOI8AOCCzr31BoU8eIuxAYOLHtYud3f3Afmf7MyZMwfkfnekvXsysc6hHipOSGQBnY7AI9UZG3i46GGMPfPEEgmsxqmfvCELMURDfSAGMPbJW2OM9TG+pocxxhhjZsEsi562iSkZY6w/488qxnqWWZ3ekslksLCwQFlZGRwdHSGTybo19w5jbGDR6Vpwr7x1fjKboSNgYdHxVCtGkQ5UV4GHTS2ol9jDUamARS98hhARGhsbUVVVBQsLC+Hu5IyxJ2NWRY+FhQU8PDxQXl6OsrKyp707jLE+otO1oKXiNgBArG1+oqIHtbcAAGVUh3u2vVP0tLGysoKrqyssLMzyoDxjPa5fFj2ff/45EhISIBKJEB0djUWLFvVY2zKZDK6urmhubjaY/4gx9mxq1D5Exv8lAAAmR6yDzLLrE/4CAJob0ZydjLzSWtx0fgUTXd0hk/ROQSIWiyGRSPhoNGM9qN/dkTkvLw/h4eFIS0sDAAQHB+Pw4cOwtbXt1PP74o6OjDHGGOtZZnlH5kuXLmHKlCmwtLSEpaUlJkyYgKNHjz7t3WKMMcbYANfloufkyZOYP38+VCoVRCKR0XmAtmzZIswV4+/vj//+97+dbl+tViM5ORk1NTWoqanBjz/+iNLS0q7uJmOMCXQ6He6UFeBOWcGTjYgiAt2rwk+Vpbhbr30mb4LJ2LOsy9f03L9/Hz4+Pnjrrbfw+uuvG2zfv38/oqKisGXLFkydOhXffPMN5s6di/z8fLi6ugIA/P390dDQYPDc48ePY+zYsVixYgVeeOEFKJVKTJw4EZJu3DKeMcbaPKivRtULLwEALM+cgo3SvnsNNT2A6PNRsAMwRrsTWRtfgZWMP58YGyi6/Nc6d+5czJ07t93tX375Jd555x1EREQAADZt2oRjx45h69atiI2NBQBkZWWZ7OPdd9/Fu+++CwCIiIjAqFGj2o1taGjQK6Bqa2sBtJ4bZIwxALhXV497/xu4UFdXD51I2r2GGu8DDa1Hd1oaHqCurg7NXPQw1iPavrd79QgqPQEA9P333wuPGxoaSCwWU1JSkl7cihUraPr06Z1u9/bt20REdPnyZfL29qampqZ2Yzds2EAAeOGFF1544YWXZ2ApKSnpWjHSBT36L8qdO3fQ0tICZ2dnvfXOzs6oqKjodDuvvvoqampqYG1tjYSEBJOntz788EOsXr1aeKzT6fDTTz/B3t6+x4d61tXVYcSIESgpKeGRYZ3EOesezlv3cN66jnPWPZy37jGVNyJCfX09VCpVr/XfK8dlHy82iKhLBUjbcPXOkMvlkMvleus6O7y9uwYPHsy/5F3EOesezlv3cN66jnPWPZy37mkvb0qlslf77dEh6w4ODhCLxQZHdSorKw2O/jDGGGOM9aUeLXpkMhn8/f2h0Wj01ms0GkyZMqUnu2KMMcYY65Iun966d+8erl+/LjwuKipCbm4u7Ozs4OrqitWrVyMsLAwBAQEIDAzE9u3bUVxcjGXLlvXojj8NcrkcGzZsMDidxtrHOesezlv3cN66jnPWPZy37nnaeevyNBQpKSkICgoyWB8eHo5du3YBaL054WeffYby8nKo1Wr87W9/w/Tp03tkhxljjDHGuqPfzb3FGGOMMdYb+t3cW4wxxhhjvYGLHsYYY4yZBS56GGOMMWYWuOjppCeZOX6gi42NxcSJEzFo0CA4OTnh1VdfxZUrV/RiiAgff/wxVCoVFAoFZs6ciYsXL+rFNDQ0YPny5XBwcIC1tTVefvll3Lp1Sy+muroaYWFhUCqVUCqVCAsLQ01NTW+/xF4XGxsLkUiEqKgoYR3nzLjS0lIsWrQI9vb2sLKywoQJE/Tm6+O8GWpubsa6devg4eEBhUKBkSNHYuPGjXozypt73k6ePIn58+dDpVJBJBLh3//+t972vsxPcXEx5s+fD2trazg4OGDFihVobGzsjZf9xEzlrampCWvWrIG3tzesra2hUqmwePFilJWV6bXRr/LWaxNcPEP27dtHUqmU4uPjKT8/n1auXEnW1tZ08+bNp71rfWLOnDmUkJBAFy5coNzcXJo3bx65urrSvXv3hJi4uDgaNGgQJSYmUl5eHv3ud7+joUOHUl1dnRCzbNkyGjZsGGk0GsrOzqagoCDy8fGh5uZmIeZXv/oVqdVqSktLo7S0NFKr1fTSSy/16evtaZmZmeTu7k7jx4+nlStXCus5Z4Z++ukncnNzoyVLltCZM2eoqKiITpw4QdevXxdiOG+GPvnkE7K3t6f//Oc/VFRURAcOHCAbGxvatGmTEGPueTty5AitXbuWEhMTCdCfN5Ko7/LT3NxMarWagoKCKDs7mzQaDalUKoqMjOz1HHSHqbzV1NTQrFmzaP/+/XT58mVKT0+nSZMmkb+/v14b/SlvXPR0wi9+8QtatmyZ3jovLy+Kjo5+Snv0dFVWVhIASk1NJSIinU5HLi4uFBcXJ8RotVpSKpW0bds2Imr945BKpbRv3z4hprS0lCwsLOjo0aNERJSfn08AKCMjQ4hJT08nAHT58uW+eGk9rr6+nkaPHk0ajYZmzJghFD2cM+PWrFlD06ZNa3c75824efPm0dtvv6237rXXXqNFixYREeftcY9/efdlfo4cOUIWFhZUWloqxPzrX/8iuVxOtbW1vfJ6e4qxYvFxmZmZBEA4KNDf8santzrQ2NiIrKwsvPjii3rrX3zxxS7NEfYsqa2tBQDY2dkBaL1BZUVFhV6O5HI5ZsyYIeQoKysLTU1NejEqlQpqtVqISU9Ph1KpxKRJk4SYyZMnQ6lUDthc//GPf8S8efMwa9YsvfWcM+MOHjyIgIAAhISEwMnJCb6+voiPjxe2c96MmzZtGn744QdcvXoVAHDu3DmcOnUKv/71rwFw3jrSl/lJT0+HWq3Wm1Rzzpw5aGho0DuNO1DV1tZCJBIJc2D2t7z1yoSjz5Kemjn+WUFEWL16NaZNmwa1Wg0AQh6M5ejmzZtCjEwmw5AhQwxi2p5fUVEBJycngz6dnJwGZK737duH7OxsnD171mAb58y4wsJCbN26FatXr8ZHH32EzMxMrFixAnK5HIsXL+a8tWPNmjWora2Fl5cXxGIxWlpaEBMTg4ULFwLg37eO9GV+KioqDPoZMmQIZDLZgM4hAGi1WkRHR+PNN98UJhPtb3njoqeTnnTm+GdFZGQkzp8/j1OnThls606OHo8xFj8Qc11SUoKVK1fi+PHjsLS0bDeOc6ZPp9MhICAAn376KQDA19cXFy9exNatW7F48WIhjvOmb//+/di9ezf27t2LcePGITc3F1FRUVCpVAgPDxfiOG+m9VV+nsUcNjU14Y033oBOp8OWLVs6jH9aeePTWx3gmeN/tnz5chw8eBDJyckYPny4sN7FxQUATObIxcUFjY2NqK6uNhlz+/Ztg36rqqoGXK6zsrJQWVkJf39/SCQSSCQSpKam4u9//zskEonwejhn+oYOHYqxY8fqrRszZgyKi4sB8O9aez744ANER0fjjTfegLe3N8LCwrBq1SrExsYC4Lx1pC/z4+LiYtBPdXU1mpqaBmwOm5qa8Nvf/hZFRUXQaDTCUR6g/+WNi54O8MzxrZV0ZGQkkpKS8OOPP8LDw0Nvu4eHB1xcXPRy1NjYiNTUVCFH/v7+kEqlejHl5eW4cOGCEBMYGIja2lpkZmYKMWfOnEFtbe2Ay3VwcDDy8vKQm5srLAEBAQgNDUVubi5GjhzJOTNi6tSpBrdDuHr1Ktzc3ADw71p7Hjx4AAsL/Y9zsVgsDFnnvJnWl/kJDAzEhQsXUF5eLsQcP34ccrkc/v7+vfo6e0NbwXPt2jWcOHEC9vb2etv7Xd46fcmzGWsbsr5jxw7Kz8+nqKgosra2phs3bjztXesTf/jDH0ipVFJKSgqVl5cLy4MHD4SYuLg4UiqVlJSURHl5ebRw4UKjwz2HDx9OJ06coOzsbHrhhReMDlscP348paenU3p6Onl7ew+I4bCd8ejoLSLOmTGZmZkkkUgoJiaGrl27Rnv27CErKyvavXu3EMN5MxQeHk7Dhg0ThqwnJSWRg4MD/fnPfxZizD1v9fX1lJOTQzk5OQSAvvzyS8rJyRFGGfVVftqGXgcHB1N2djadOHGChg8f3m+HrJvKW1NTE7388ss0fPhwys3N1ft+aGhoENroT3njoqeTvv76a3JzcyOZTEZ+fn7CcG1zAMDokpCQIMTodDrasGEDubi4kFwup+nTp1NeXp5eOw8fPqTIyEiys7MjhUJBL730EhUXF+vF3L17l0JDQ2nQoEE0aNAgCg0Nperq6j54lb3v8aKHc2bcoUOHSK1Wk1wuJy8vL9q+fbveds6bobq6Olq5ciW5urqSpaUljRw5ktauXav3xWPueUtOTjb6ORYeHk5EfZufmzdv0rx580ihUJCdnR1FRkaSVqvtzZffbabyVlRU1O73Q3JystBGf8obz7LOGGOMMbPA1/QwxhhjzCxw0cMYY4wxs8BFD2OMMcbMAhc9jDHGGDMLXPQwxhhjzCxw0cMYY4wxs8BFD2OMMcbMAhc9jDHGGDMLXPQwxhhjzCxw0cMYY4wxs8BFD2OMMcbMAhc9jDHGGDML/w+NpLDAn3GBHQAAAABJRU5ErkJggg==", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Signals:\n", "6180 : \t SleeperStayer (epsilon, R = 0.0001)\n", "6181 : \t SleeperStayer (step, R = 0.0001)\n", "6653 : \t SleeperStayer (step)\n", "6685 : \t SleeperStayer (epsilon)\n", "\n" ] } ], "source": [ "martingales_sleeper_stayer = {\n", " \"SleeperStayer (epsilon)\" : SleeperStayer(bf = EpsilonBettingFunction()).apply(p_values),\n", " \"SleeperStayer (step)\" : SleeperStayer().apply(p_values),\n", " \"SleeperStayer (epsilon, R = 0.0001)\" : SleeperStayer(R = 0.0001, bf = EpsilonBettingFunction()).apply(p_values),\n", " \"SleeperStayer (step, R = 0.0001)\" : SleeperStayer(R = 0.0001).apply(p_values),\n", "}\n", "\n", "plot_martingales(martingales_sleeper_stayer)" ] }, { "cell_type": "markdown", "id": "ec728a4e-c141-40ec-9259-0b0f5568509c", "metadata": {}, "source": [ "### Sleeper/Drifter" ] }, { "cell_type": "markdown", "id": "fea0c93e-897b-4628-8835-eb904974f434", "metadata": {}, "source": [ "We also compare the default investment rate ($R = 0.1$) to $R = 0.01$ for `SleeperDrifter`, in conjunction with three different betting functions." ] }, { "cell_type": "code", "execution_count": 17, "id": "80beefe1-c3c3-443e-95d9-3c6f1ad6c484", "metadata": { "panel-layout": { "height": 700.9942626953125, "visible": true, "width": 100 } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Signals:\n", "6180 : \t SleeperDrifter (epsilon, R = 0.01)\n", "6181 : \t SleeperDrifter (step, R = 0.01)\n", "6371 : \t SleeperDrifter (step & drift, R = 0.01)\n", "6654 : \t SleeperDrifter (step)\n", "6688 : \t SleeperDrifter (epsilon)\n", "6696 : \t SleeperDrifter (step & drift)\n", "\n" ] } ], "source": [ "martingales_sleeper_drifter = {\n", " \"SleeperDrifter (epsilon)\" : SleeperDrifter(bf = EpsilonBettingFunction()).apply(p_values),\n", " \"SleeperDrifter (step)\" : SleeperDrifter(bf = StepBettingFunction(), drift=False).apply(p_values),\n", " \"SleeperDrifter (step & drift)\" : SleeperDrifter(bf = StepBettingFunction()).apply(p_values),\n", " \"SleeperDrifter (epsilon, R = 0.01)\" : SleeperDrifter(R = 0.01, bf = EpsilonBettingFunction()).apply(p_values),\n", " \"SleeperDrifter (step, R = 0.01)\" : SleeperDrifter(R = 0.01, bf = StepBettingFunction(), drift=False).apply(p_values),\n", " \"SleeperDrifter (step & drift, R = 0.01)\" : SleeperDrifter(R = 0.01, bf = StepBettingFunction()).apply(p_values),\n", "}\n", "\n", "plot_martingales(martingales_sleeper_drifter)" ] }, { "cell_type": "markdown", "id": "24669cf3-1861-4990-a72b-4c6c5031c8c1", "metadata": {}, "source": [ "### Composite martingale" ] }, { "cell_type": "code", "execution_count": 18, "id": "a4172986-3813-4cb1-9792-df0489d1c0fb", "metadata": { "panel-layout": { "height": 700.9942626953125, "visible": true, "width": 100 } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Signals:\n", "6181 : \t SleeperStayer\n", "6371 : \t SleeperDrifter\n", "6372 : \t Composite\n", "6508 : \t SimpleJumper\n", "\n" ] } ], "source": [ "martingales = [SimpleJumper(J = 0.0001), SleeperStayer(R = 0.0001), SleeperDrifter(R = 0.01)]\n", "\n", "martingales_composite = {\n", " \"SimpleJumper\" : martingales[0].apply(p_values),\n", " \"SleeperStayer\" : martingales[1].apply(p_values),\n", " \"SleeperDrifter\" : martingales[2].apply(p_values),\n", " \"Composite\" : CompositeMartingale(martingales).apply(p_values),\n", "}\n", "\n", "plot_martingales(martingales_composite)" ] }, { "cell_type": "markdown", "id": "183fd193-213f-4b51-9e5a-2548de1eb37b", "metadata": {}, "source": [ "### Lipophilicity" ] }, { "cell_type": "markdown", "id": "e83a1f06-8c4f-4a13-b7fd-bec1019cff33", "metadata": {}, "source": [ "Finally, we consider another real-world dataset, concerning the prediction of the chemical property lipophilicity, based on binary features, generated from so-called SMILES strings, using the `rdkit` package. Before splitting the data into a training and test set, using the first 2000 instances for the former, we sort the dataset according to the ChEMBL identifier.\n", "\n", "The p-values for the test set are as above obtained using a conformal predictive system with semi-online calibration, i.e., the underlying model obtained from the training set stays the same, while the calibration set is iteratively updated." ] }, { "cell_type": "code", "execution_count": 19, "id": "8c8f437a-b72f-49fb-a341-658704ff666e", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "X_train: (2000, 1024)\n", "y_train: (2000,)\n", "X_test: (2200, 1024)\n", "y_test: (2200,)\n" ] } ], "source": [ "np.random.seed(2025)\n", "\n", "url = (\"https://deepchemdata.s3-us-west-1.amazonaws.com/datasets/\"\n", " \"Lipophilicity.csv\")\n", "\n", "df = pd.read_csv(url)\n", "df[\"No\"] = [int(s.split(\"CHEMBL\")[1]) for s in df[\"CMPD_CHEMBLID\"]]\n", "\n", "df = df.sort_values(\"No\")\n", "\n", "y = df[\"exp\"].values\n", "\n", "molecules = [rdkit.Chem.MolFromSmiles(s) for s in df[\"smiles\"]]\n", "\n", "fpgen = AllChem.GetMorganGenerator(radius=2, fpSize=1024)\n", "\n", "X = np.array([fpgen.GetFingerprint(m) for m in molecules])\n", "\n", "# Uncomment the following if you want to investigate what happens \n", "# when the dataset is randomly shuffled\n", "\n", "#random_index = np.random.choice(np.arange(len(df)), \n", "# len(df), replace=False)\n", "#X = X[random_index]\n", "#y = y[random_index]\n", "\n", "test_start = 2000\n", "\n", "X_train = X[:test_start]\n", "y_train = y[:test_start]\n", "X_test = X[test_start:]\n", "y_test = y[test_start:]\n", "\n", "print(f\"X_train: {X_train.shape}\")\n", "print(f\"y_train: {y_train.shape}\")\n", "print(f\"X_test: {X_test.shape}\")\n", "print(f\"y_test: {y_test.shape}\")\n", "\n", "rf = WrapRegressor(RandomForestRegressor(n_jobs=-1))\n", "rf.fit(X_train, y_train)\n", "rf.calibrate(cps=True)\n", "p_values = rf.predict_p(X_test, y_test, online=True)" ] }, { "cell_type": "markdown", "id": "c1f44c39-2780-4fb9-a6ea-996e27751287", "metadata": {}, "source": [ "### Simple Jumper" ] }, { "cell_type": "code", "execution_count": 20, "id": "eca70e36-b528-49f8-aab8-7c57a5461f20", "metadata": { "panel-layout": { "height": 700.9942626953125, "visible": true, "width": 100 } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Signals:\n", "90 : \t SimpleJumper (step)\n", "347 : \t SimpleJumper (epsilon)\n", "\n" ] } ], "source": [ "martingales_simple_jumper = {\n", " \"SimpleJumper (epsilon)\" : SimpleJumper().apply(p_values),\n", " \"SimpleJumper (step)\" : SimpleJumper(bf = StepBettingFunction()).apply(p_values),\n", "}\n", "\n", "plot_martingales(martingales_simple_jumper)" ] }, { "cell_type": "markdown", "id": "05b31eb9-1c1e-4885-b860-d5d5848ed533", "metadata": {}, "source": [ "### Sleeper/Stayer" ] }, { "cell_type": "code", "execution_count": 21, "id": "ffee1002-d564-4d10-bad3-9261aa866746", "metadata": { "panel-layout": { "height": 700.9942626953125, "visible": true, "width": 100 } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Signals:\n", "94 : \t SleeperStayer (step)\n", "770 : \t SleeperStayer (epsilon)\n", "\n" ] } ], "source": [ "martingales_sleeper_stayer = {\n", " \"SleeperStayer (epsilon)\" : SleeperStayer(bf = EpsilonBettingFunction()).apply(p_values),\n", " \"SleeperStayer (step)\" : SleeperStayer().apply(p_values),\n", "}\n", "\n", "plot_martingales(martingales_sleeper_stayer)" ] }, { "cell_type": "markdown", "id": "cfffa3a8-c3df-4789-9277-2ad65cecec77", "metadata": {}, "source": [ "### Sleeper/Drifter" ] }, { "cell_type": "code", "execution_count": 22, "id": "bdee8169-d818-45ea-b95f-825e06d8f18e", "metadata": { "panel-layout": { "height": 700.9942626953125, "visible": true, "width": 100 } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Signals:\n", "170 : \t SleeperDrifter (step)\n", "648 : \t SleeperDrifter (step & drift)\n", "770 : \t SleeperDrifter (epsilon)\n", "\n" ] } ], "source": [ "martingales_sleeper_drifter = {\n", " \"SleeperDrifter (epsilon)\" : SleeperDrifter(bf = EpsilonBettingFunction()).apply(p_values),\n", " \"SleeperDrifter (step)\" : SleeperDrifter(bf = StepBettingFunction(), drift=False).apply(p_values),\n", " \"SleeperDrifter (step & drift)\" : SleeperDrifter(bf = StepBettingFunction()).apply(p_values),\n", "}\n", "\n", "plot_martingales(martingales_sleeper_drifter)" ] }, { "cell_type": "markdown", "id": "98ae34e3-f05c-49e7-a061-ac504c26422e", "metadata": {}, "source": [ "### Composite martingale" ] }, { "cell_type": "code", "execution_count": 23, "id": "97bd328d-b015-4d96-b8c1-3f19909dfa32", "metadata": { "panel-layout": { "height": 700.9942626953125, "visible": true, "width": 100 } }, "outputs": [ { "data": { "image/png": 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", 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" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "Signals:\n", "94 : \t SleeperStayer\n", "95 : \t Composite\n", "347 : \t SimpleJumper\n", "648 : \t SleeperDrifter\n", "\n" ] } ], "source": [ "martingales = [SimpleJumper(), SleeperStayer(), SleeperDrifter()]\n", "\n", "martingales_composite = {\n", " \"SimpleJumper\" : martingales[0].apply(p_values),\n", " \"SleeperStayer\" : martingales[1].apply(p_values),\n", " \"SleeperDrifter\" : martingales[2].apply(p_values),\n", " \"Composite\" : CompositeMartingale(martingales).apply(p_values),\n", "}\n", "\n", "plot_martingales(martingales_composite)" ] } ], "metadata": { "kernelspec": { "display_name": "Python 3 (ipykernel)", "language": "python", "name": "python3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.13.5" } }, "nbformat": 4, "nbformat_minor": 5 }