{ "cells": [ { "cell_type": "markdown", "id": "f63f2937", "metadata": {}, "source": [ "# An Introduction to Isolation Forests\n", "\n", "This is an accompanying notebook for the package\n", "[isotree](https://github.com/david-cortes/isotree)\n", "presenting a short introduction to the Isolation Forest family of algorithms\n", "as implemented in said package. For more information about it, see the GitHub page.\n", "** *\n", "## 1. Isolation Forests\n", "\n", "## 1.1 Overview\n", "\n", "Isolation Forest is an unsupervised decision-tree-based algorithm originally developed\n", "for outlier detection in tabular data, which consists in splitting sub-samples of the data\n", "according to some attribute/feature/column at random. The idea is that, the rarer the\n", "observation, the more likely it is that a random split on some feature would put outliers alone\n", "in one branch, and the fewer splits it will take to isolate (create a partition in which only\n", "one point is present) an outlier observation like this.\n", "\n", "The intuition behind it is very simple: if there is an outlier in the data and we pick a column\n", "at random in which the value for the outlier point is different from the rest of the\n", "observations, and then we select an arbitrary threshold uniformly at random within the range of\n", "that column and divide all the points into two groups according to whether they are higher\n", "or lower than the randomly-chosen threshold for that column, there is a higher chance that\n", "the outlier point would end up in the smaller partition than in the larger partition.\n", "\n", "Of course, outliers are typically not defined by just having one extreme value in one column,\n", "and a good outlier detection method needs to look at the relationships between different\n", "variables and their combinations. One potential way to do this is by building a so-called\n", "\"isolation tree\", which consists of repeating the randomized splitting process described above\n", "recursively (that is, we divide the points into two groups, then repeat the process in each\n", "of the two groups that are obtained, and continue repeating it on the new groups until no\n", "further split is possible or until meeting some other criteria).\n", "\n", "Under this scheme, one can deduce that, the more common a point is, the more splits it will\n", "take to leave the point alone or in a smaller group compared to uncommon points - as such,\n", "one can think of the \"isolation depth\" (number of partitions that it takes to isolate a point,\n", "hence the name of the algorithm) in the isolation trees as a metric by which to measure the\n", "inlierness or outlierness of a point.\n", "\n", "A single isolation tree has a lot of expected variability in the isolation depths that it is\n", "expected to give to each observation, thus an ensemble of many such trees - an \"isolation\n", "forest\" - may be used instead for better results, with the final score obtained by averaging\n", "the results from many such trees.\n", "\n", "There are many potential ways of improving upon the logic behind the procedure (for example,\n", "extrapolating an isolation depth after reaching a certain limit) and the resulting score\n", "can be standardized for easier usage, among many others - see the references for more details\n", "about the methodology.\n", "\n", "## 1.2 Why choose isolation forests over the alternatives\n", "\n", "Compared to other outlier/anomaly detection methods such as \"local outlier factor\" or\n", "\"one-class support vector machines\", isolation forests have advantages in that they are:\n", "\n", "* Robust to the presence of outliers in training data.\n", "* Robust to multi-modal distributions.\n", "* Insensitive to the scales of variables.\n", "* Much faster to fit.\n", "* Invariant to the choice of distance metric (since it doesn't use a distance\n", "metric in the first place).\n", "\n", "Additionally, since they produce a standardized outlier metric for every point, such models\n", "can be used for example to generate additional features for regression or classification models\n", "or as a proxy for distribution density, for which not all outlier detection methods are\n", "equally suitable (see the rest of the vignette for other potential uses of isolation forests).\n", "\n", "## 1.3 An example in 1D\n", "\n", "As a simple proof-of-concept test, one can think of producing random numbers from a normal\n", "distribution and seeing what kinds of isolation depths would isolation trees assigning to\n", "values from it:" ] }, { "cell_type": "code", "execution_count": 1, "id": "9774a7bc", "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXUAAADqCAYAAABdutXqAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAA9hAAAPYQGoP6dpAAA/b0lEQVR4nO3deVxU1fsH8M8MAwwMoOygIiguoBGaqaWCuOGWAmkEbiAiuJVrBpULYWpmae64/FzItFJzSTOXrMwtK3NLrQwBFWTfBMRhzu8PvnObYQaYGWaYxef9evmquXPn3GfO3Hk4c+655/AYYwyEEEJMAl/fARBCCNEeSuqEEGJCKKkTQogJoaROCCEmhJI6IYSYEErqhBBiQiipE0KICaGkTgghJoSSOiGEmBBK6kZkx44d4PF4+OGHH/Qaxw8//AAej4cdO3boNQ6iGVP7/BYvXgwej4d79+7pOxSDQEkd/53ksv+sra3h5+eH999/HxUVFfoOkTwj/vjjDyxevJgSFNGYQN8BGJLRo0cjJCQEAJCbm4svv/wSixYtwvnz53H8+HE9R0eeBX/88QeSkpIQFBQELy8vfYdDjBAldRn+/v4YN24c9/jNN99Ejx498N133+G3335Dt27d9BgdMSaMMTx+/Bg2Njb6DoVoWVVVFSQSCYRCob5DUYq6X+phZmaGfv36AQD+/vtvuee++OILhIaGwtPTE0KhEA4ODhgyZAh+/vlnhXKkra7s7GyMHz8ejo6OsLKyQmBgIH799VeF/Z8+fYpFixbBy8sLQqEQvr6+2LhxY51xPnjwALGxsWjZsiUsLCzQqlUrxMXFISsrS24/2b7UzZs3o1OnThAKhejQoQN27drFlRUREQFHR0eIRCKEhoYiOzu73nrKysqCubk5wsPDlT7/ySefgMfj4Ztvvqm3HKDmC/Pee++hdevWEAqF6NSpEzZv3lzn9YTS0lK8++676NixIywtLeHg4IDQ0FBcu3atzveempqK559/HkKhEC1btsQ777yD6upqhVgePXqEN954A15eXrCwsICrqyvGjRun0DUije3UqVNYtmwZOnToAEtLS6xcuRIA8MsvvyAmJgYdO3aESCSCSCRC9+7dsX37drlyoqOjMXHiRABAv379uK7A6Ohobh/GGLZs2YIePXpwZfXq1QsHDx5UWp9r1qzh6qZNmzZITk6GWCxu8HOQkvZX//XXX1i4cCE8PT1haWkJX19f7N69W2H/2vFKKevHl9bb6dOnsXTpUrRt2xZCoRD+/v749ttvAQB//vknXnnlFTRr1gzNmzdHdHQ0ysrKlMZaXl6OOXPmoGXLllw5e/fuVbrvlStXMHr0aLi4uMDCwgJt27ZFQkICysvL5faLjo4Gj8dDfn4+4uLi4O7uDisrK1y8eBEAcPz4cfTv3x8uLi4QCoVo1aoVhg4dirNnz6pSvTpBLfUG3L17FwDg6Ogot33dunWwt7dHbGws3N3dkZmZiW3btqFfv3748ccf0atXL7n9Hz9+jICAAHTr1g3Jycl49OgRVq1ahaFDh+Lff/+Fra0tt+/48ePxxRdfoH///pgzZw7y8/OxaNEitG7dWiG+Bw8eoHv37sjJyUFsbCz8/f1x9epVbNmyBcePH8fly5fh6uoq95oNGzYgNzcXsbGxsLOzw5YtWxAVFQVzc3MkJiYiICAAS5Yswe3bt7F+/XpERUXhu+++q7OO3N3dMXLkSBw6dAh5eXlwcnKSe37r1q3w8PDA0KFDG6zvsWPHYt++fRg0aBDmzZuHwsJCLFq0CB4eHgr7lpSUoE+fPvjnn38QFRUFf39/FBYWYsuWLXj55Zdx9uxZvPDCC3KvSUlJ4f4IOjs748CBA1i2bBns7OyQkJDA7ZeZmYlevXqhrKwMkyZNQocOHfDgwQNs3LgRJ06cwK+//qrwebz11lsoLy9HVFQUnJ2duZi//vpr3LhxA6NHj4anpyeKi4vx5ZdfIiYmBrm5uZg/fz4AID4+HpaWlti8eTPeeecd+Pr6AgC8vb25Y0ycOBG7du1CSEgIxo4dCwA4cOAAwsLCsHHjRkyZMoXbNyEhAR9++CG6deuGpUuX4smTJ9i2bRsOHTrU4OdQW1RUFHg8Ht58803w+Xxs2LAB48aNg7e3N1566SW1y5OVmJiIJ0+eYOrUqTAzM8Onn36KkJAQ7Nu3D5MmTUJ4eDhGjBiBCxcuYOfOnbC0tERKSopCORMmTABjDHPmzMGTJ0+wY8cOREZGoqysDLGxsdx+x48fR2hoKDw8PPDGG2/A1dUVV69exSeffIJz587hzJkzEAjkU+PAgQPh6OiIhIQESCQSuLm54aeffsIrr7yCTp064a233oKjoyOys7Nx/vx5XLlyBQEBAY2qF40xws6cOcMAsMTERJabm8tyc3PZn3/+yRYsWMAAME9PT/bkyRO515SVlSmUk5WVxRwdHdmwYcPktvft25cBYEuXLpXbvmfPHgaApaSkcNtOnz7NALCwsDAmkUi47f/++y+zsrJiANiZM2e47ePHj2cA2O7du+XK3rlzJwPAJk2apPA+3dzcWEFBAbc9OzubWVpaMh6Pxz788EO5cmbOnMkAsDt37iiUs337dm7biRMnGAC2cuVKudefPXuWAWCLFi1SqK/apGWEh4fLvfeMjAwmEokU3vusWbOYubk5u3jxolw5hYWFrFWrViwoKKjB915dXc18fX2Zu7u7XBmhoaHM3t6e3b17V257Wloas7GxYdHR0dy27du3MwDM29ublZaWKrwvZedKdXU1CwgIYM2aNWNVVVUKZcm+T6mDBw8yAOyTTz5ReG7EiBHMzs6OlZSUMMYY+/vvvxmfz2c9evRglZWV3H75+fnM3d1d4fOry6JFixgANnToUFZdXc1tz8jIYObm5iwyMlJufwAsKipKoRxl54z0vfr7+8vFeOXKFQaA8Xg89sUXX8iVExISwszNzeXqWRpjt27d5MopKipirVu3Zra2tqy4uJgxxlhFRQVzc3NTqBfGGNu3bx8DwHbs2MFti4qKYgBYRESE3DnJGGOzZ89mAFh2dnZd1acX1P0iY9myZXB2doazszM6deqE5ORkBAcH49SpU7CwsJDbVyQScf9fWlqK/Px8CAQC9OzZE5cuXVIom8/nY/bs2XLbBg0aBAD466+/uG379+8HUNN64fF43PY2bdpwLTMpiUSCgwcPomPHjhgzZozcc+PHj4e3tzcOHDgAVmsdlJiYGNjb23OPXV1d0bFjR64lJqtv374KMSozcOBAtGvXDlu3bpXbvmXLFpiZmWHSpEn1vh6oadECwPz58+Xeu4eHh8J7Z4zhs88+w8svvwxvb2/k5eVx/8RiMYKDg3H27FmFkUu13zufz8eAAQOQlZXF/awvLi7G4cOHMWzYMNjZ2cmVbWNjg5deeknpL5cZM2Yo7UOXPVcqKiqQn5+PgoICDBkyBMXFxbhz506DdQMAqampsLKywuuvvy4XU15eHkJDQ1FSUoILFy5wdSmRSDBv3jxYWlpyZTg4OGD69OkqHU/W7Nmzwef/ly48PDzQsWPHBs8LVUyfPl0uxi5dusDOzg7u7u4KXXp9+/bF06dPlY4Omjt3rlw5zZo1w/Tp01FaWoqTJ08CAE6dOoXs7GxER0ejtLRUrg4DAwNhbW2t9LN9++235c5JAGjevDkA4KuvvsLTp081fftaR90vMqKjozF27FiIxWLcuXMHH374Ie7fvw8rKyuFfa9du4aFCxfi+++/R2lpqdxztT98AGjRooXChRVpl05+fj63Tdrd06lTJ4UyOnfuLPc4NzcXpaWleO655xT25fF46Ny5Mw4fPozCwkI4ODhwz7Vt21Zhf3t7e6UxShOgbIzK8Hg8xMXFYf78+Th79iwCAgJQVFSEr776CkOGDOG6IsrKyhT6RJs1awYrKyv8+++/AAAfHx+F8qVdEVLSL+JPP/0EZ2fnOuPKy8uT67pR9t5lPwcbGxv89ddfkEgk2L17t9J+YwByCU6qQ4cOdcawcOFCHDx4UOE6BwAUFBTUGb+sW7duoaKiAi1btqxzn0ePHgFQ7zxSRV31lp6ernZZqpRtb2+vtMutvvNR2XuVbvvnn38A1NQhAEybNg3Tpk1TGo+0DmUp+2xnzJiBI0eO4I033kBCQgJefvllBAUFYcyYMWjTpo3SspsCJXUZ3t7eGDhwIABgyJAhCA4ORteuXREREYGffvqJS9b3799Hnz59YGNjg8TERPj4+EAkEoHP52PZsmX4/vvvFco2MzOr87i1W9K6VlcsjY1x4sSJWLBgAbZs2YKAgADs3r0bFRUViI+P5/ZZuXIlkpKS5F63fft2pRfX6iORSAAAgYGBWLBgQZ371U74qrxHadnh4eGYPHmyyjFZW1srLXPw4MG4fv063njjDXTv3h329vYwMzPDsWPHsGrVKu54DZFIJGjWrBn27dtX5z6aJGxV1FVvqp679V2c1dX5qIy0rj/44AP06NFD6T6yv+SklH22Dg4OuHTpEs6fP49Tp07h7NmzSEpKQlJSElJTU/H6669rFGNjUVKvh6+vL2bOnIkVK1Zgz549XBfHgQMHUFpaioMHD6J///5yr3n33XcbdUzpRbE///wT3bt3l3vu5s2bco+dnZ1ha2ursB2oOelv3rwJe3t7pSepLjg5OWHUqFHYt28f1qxZgy1btqBVq1YYNmwYt8+ECRPQp08fuddJE5G0xXb79m2F4aPSFpaUs7MzmjdvjsLCQu4Psba0a9cOfD4fFRUVjS77+vXr+P3337FgwQK8//77cs9JuwRkKfuVJ9WhQwfcvn0bXbt2VbhwX5vseVQ70Ss7X7TFwcFB6S8P6a8wXfrzzz/h7++vsA2o+UyB/1rcQqFQK+cNn89Hnz59uHM6MzMTL7zwAt5++229JXXqU2/A/PnzYWNjg8WLF3OtDWkLonZr4dtvv8Uvv/zSqOO9+uqrAGr692XLT0tLU+gK4PP5CA0Nxe3btxVab7t378bdu3fx6quv1psotC0+Ph4VFRWYOXMmrl69ipiYGLkWV9u2bTFw4EC5f+7u7gCA0NBQAMCKFSvk3ntmZqbS9z5u3Dhcv34dO3fuVBqLsp/RqnB0dMSwYcNw9OhRnDlzplFl13WuPHz4UOH6AwCuT15ZYpwwYQKAmnNSWUtVNqbQ0FDweDysXLkST5484bYXFBRg/fr1KsWuiY4dO+LChQtyQwMrKyuxdu1anR1T6uOPP5Z7r8XFxVi/fj1sbGy461eDBw+Gq6srPvroI6VDdcViscrdYbm5uQrbPDw84Orq2mB3pS5RS70Bjo6OmDFjBpYvX45du3YhJiYGQ4cOhUgkwvjx4zF9+nQ4OTnh999/x+7du+Hn54fr169rfLwBAwZg9OjR2LdvHwYOHIiQkBAUFBRg48aN6NSpE3777Te5/ZcuXYpTp04hMjISZ86cgZ+fHzek0cPDAx988EFjq0AtgYGB6NSpE3bt2gU+ny83lKwhwcHBCAsLw5dffonCwkKMGDECBQUF2LRpEzp37oxffvlF7g/UBx98gPPnzyM6OhoHDx5EQEAARCIRMjIycPr0aVhZWdWZlBuyadMm9OnTB4MGDcKYMWPQvXt38Pl8pKen49ixY3jxxRdVmjvFx8cHzz33HFasWIGysjJ07twZaWlpSElJgbe3t0ICkR7ngw8+QGFhIUQiEdq0aYOePXti1KhRmDx5MrZs2YKrV68iNDQUbm5uePjwIX777TccO3aMu2DXvn17zJ07FytXrkTv3r0RGRmJqqoqbN26FS1atFDat68Nb775JiIjIxEUFIQJEyagrKwMu3btQrNmzXRyvNp69eqFMWPGoKqqCtu3b0dGRgY2bdoEOzs7ADXdKKmpqQgJCYGvry8mTpwIHx8flJaW4u7duzhw4ACWL1+uUndgXFwcMjIyEBwcDC8vL4jFYnzzzTe4efMmZsyYoeN3Wg99DLkxNNLhVsnJyUqfz83NZTY2NszLy4sb2vjzzz+zwMBAZmdnx2xtbVn//v3Zzz//zA2BktW3b1/m6emptGwoGQL25MkT9t577zEPDw9mYWHBOnbsyNavX1/ncLfMzEw2adIk5u7uzgQCAWvRogWbPHkye/jwodL3qWwoW10xKntNfeUwxtinn37KACgM7VRFZWUlS0xMZK1atWIWFhbM19eXbd68ma1Zs4YBYJcuXZLbv7y8nC1dupT5+/szKysrJhKJWLt27djYsWPZd999p1LM0iFxaWlpctsLCgpYQkIC8/HxYZaWlszW1pb5+PiwyZMnyw2jrG8YImOMpaens4iICObi4sKEQiHz9/dn27Ztq/N1O3bsYL6+vszc3Fzp+fH555+zoKAg1qxZM2ZhYcE8PDzY0KFD2caNG+X2k0gkbNWqVaxdu3bM3NyceXl5sffff5+dPHlS7SGNteuGsbrPmVWrVrE2bdowc3Nz5u3tzT766CNuqK6yIY3K6s3T05P17dtXYbuy10hjvHnzJps9ezZzd3dnFhYWzM/PT2Gor9StW7dYVFQUa9WqFTM3N2dOTk6sW7duLDExkWVkZHD7Kfs+S+3fv5+FhIQwDw8PZmlpyezt7VmPHj3Ypk2b5IZ/NjUeY018lY6YvE2bNmHq1Kk4dOgQRo4cqZUyp0+fjg0bNiA7O1vhZipCyH8oqROtkkgk8Pf3R1FREe7du1fvCAZlysvLFUYaZGRkoHPnzvD29sYff/yhxWgJMT3Up060Ii0tDRcuXMC3336LGzduYN26dWondKDmAvG5c+cwYMAAuLi44O+//8aWLVtQWVmJjz76SAeRE2Ji9Nbx84zLzc1l48eP527ZVtZ/aEykfZ2Ojo5s7ty5GvcpHj9+nPXr1485OzszgUDA7O3t2dChQ9nZs2e1HLHqGuozV5WyPuj6rrfoiibXSXRJH3Vgyqilridz587FF198gXfffRdt27Y1+n7i6OhotW8gUmbw4MEYPHhw4wMycUVFRVi9ejWCgoIQFBSk73AatHjxYnTp0oUbtkp0h5K6npw8eRKDBw/GwoUL9R0K0aMTJ05odHdkUVERd2euukk9MDAQFRUVMDc3V/u4mkpKSkJUVJTSpK5pHRDl6OYjPcnOzpabj6U+JSUlOo7G8JlqHVhYWMhNQqVL0jrk8/kQCoUaXfPQhaasg2cBJfUmJp10nzGGnTt3cgshSG9kkS4y8MMPPyAoKAh2dnZytz5funQJr7zyChwcHCAUCuHj44Pk5GRUVVXJHUe6uMGtW7cwb948tGzZEtbW1ujVqxd31+u5c+cQFBQEGxsbODs7Y86cOSovoKDuwh8SiQRr1qyBv78/rKysYGdnh/79+yu9Vd7LywtBQUG4du0ahg8fDnt7e+7mFWn9FRQUIDY2Fi4uLrCxsUFwcDC3kMnhw4fRvXt3WFtbo2XLlli2bJnCMVRduEIT//zzD8LCwtCsWTPY2toiODgYV69eVbqvsmXrbt26hcjISHh4eMDS0hIuLi7o1asXdwfqjh07uAmjkpKSuHNItpz6zqOGFp7euHEjfH19IRQK4eXlJXc3dX1x1z627LEAyJ3vsjeR1VWWuue6qgt5mDrqfmli8fHxGDhwIMaPH4+AgADExcUBgNyiGr/++iv27duHmJgYjBkzhpsF8vjx4xg5ciTs7Owwbdo0uLm54dixY1i4cCHOnz+Po0ePKsweGBUVBaFQiPnz5+Px48dYuXIlBg0ahNTUVERHRyM2NhYRERH49ttvsWrVKjg7OyMxMVGl96LOwh/R0dFITU1F7969sXTpUpSVlWHr1q0YPHgwdu3aJbeMIFAzNUDfvn0RFhaGZcuWKdzSPWTIELi6umLRokV4+PAhPvnkEwQHByM5ORlz587FlClTMHHiROzduxfvvPMOvLy8EBkZyb1e1YUr1CVdXKOoqAhTpkyBr68vLl68iKCgoAbnawFqZh/s168fJBIJ4uPj0aZNGxQWFuL69ev48ccfERsbi8DAQKxatQqzZ89GWFgYN7VE7Wl/6zqP6rNu3Trcv38fU6ZMgYODAw4dOoSkpCTcvXsXqampateHr68vUlNTFc73hmh6rutqIQ+joucLtc8s1LGYAAAGgH377bdy28ViMfPy8mJWVlbs77//lntu4sSJDABLTU3lttW1uMHXX3/NADAzMzOFxSW6dOmisFhEXTRZ+GPo0KFMLBZz23NycpiLiwtr3ry53KIHnp6eDIDCHZKM/XeHX3x8vNz2VatWMQDMxsZG7u7HyspK5urqyl5++WW5/bW1cEVt0kVLvv76a7nty5Yt4xZckVV75MehQ4cYALZ37956j5OWllbv4iN1nUeM1T/6xdramt27d4/bXl1dzUJDQxXev7p3Sdd1visrS1vnel0LeZg66n4xQP7+/hgyZIjctt9//x337t3D+PHjuRnnpBYvXgzgvwU2ZNVe3EC66EXPnj3Rs2dPuX0DAwPlFotoiLoLfyxYsECuH9fZ2RnTp09HUVERTp8+LVeOg4NDvdPezp07V+6x9H2NHDlS7qe8paUlevbsqbCYg7YWrpAlXbSkU6dOChcEZ82apdIi1NKFF44dO4aioiK1Y5Cl7DxqyLhx4+Dp6ck95vP53C83ZeeXLmjrXNfmQh7GhJK6AVI2Ib906lI/Pz+F51q3bg07OztuYQRZtRcgkE7DW9fCBEDDC2JIqbrwR32xS7fVjt3b27veC3nqvq/a7ykvLw/Tpk1DixYtYG1tDScnJzg7O3NTJ6s6U5+snJwclJaWKl2sQSgUyq01WpfAwEDExMRg165dcHZ2Rs+ePTF37lxuRSN11LVoR31UWWhC17R1rgM156M+Z0zUB0rqBkjZhPwNqWt6XV0uQKDLhT8aqgNN3pcU+9/CFVu3bkVkZCT27NmD48eP4+TJk9wvD1UXrtCFbdu24datW1ixYgVatWqF//u//0OvXr0UlhpsiCbnkarqOt9UvdCui2M3diEPU0FJ3UhIW3nKFjjIzMxEcXGxSi1Bfagv9hs3bsjt0xSkC1ckJCTg448/RkREBAYPHoyBAwc2auy2i4sLbG1tuYUZZFVWViptXdbFx8cHs2fPxv79+/Hw4UMEBQVh7dq13NqcupojX1nstReaAHS7GIYxn+uGgJK6kejatSu8vLyQmpqqsC6kdEWdUaNG6SO0BklHZyxdulSuBZyXl4f169ejefPmGDBgQJPFo+7CFari8/kICQnBn3/+iYMHD8o9t3r1apWuVRQUFCj8SrCysuK6QKRdCfUtptEYn332mdz5JZFIuCGh0s8RqFkMo7S0VGFRmLrm57GxsVE5VmM+1w0BDWk0EmZmZti4cSNGjhyJ7t27Y8qUKXBxccG3336LY8eOYfDgwdxye4amf//+GD9+PFJTU9GvXz+EhYVxQxpzcnKwa9culS4iaou6C1eoY8mSJTh+/DjCw8MxdepU+Pj44OLFizh8+DC8vb0b7J7YtWsXPvnkE4SGhsLb2xvW1tb47bffsHXrVvj7+6NLly4AavqK27Vrh71798Lb2xuurq4QiUQYMWKExrEDNUMQe/bsialTp8LBwQEHDx7E999/j4iICPTr14/bLz4+Hh9//DFCQ0Mxc+ZMWFtb4+jRoyguLlZa7ksvvYRTp07hww8/ROvWrcHj8RAREaF0X2M+1w0BJXUjMmTIEPz0009ITk7G2rVrUV5eDi8vL7z//vt4++23la5wbyh27NiBbt26Ydu2bUhISIC5uTm6d++OzZs3Izg4uEljMTMzw9GjR/H222/j888/R0lJCTp27IgVK1aAz+dj4sSJGpft6emJc+fOYf78+di+fTsYY3j55Zdx5swZzJo1i+s+qUtQUBCuXr2K48ePIysrC4wxeHh4ICEhAXPnzpXrN969ezdmz56Nd955B+Xl5fD09Gx0Up8xYwbKy8uxZs0apKWlwdXVFQsWLFBY3NvT0xNHjhzBO++8g4ULF6JZs2YYNWoUli9fzo3gkbVhwwZMnz4dH3zwATdevq6kDhj3ua5vNJ86IYSYEPpzRwghJoSSOiGEmBBK6oQQYkIoqRNCiAmhpE4IISaEkjohhJgQSuqEEGJCKKkTQogJoaROCCEmxGCmCTh//jw+//xzPHr0CHZ2dpg0aRJ69eqF9PR0bnY6V1dXxMXFya3ZqUxRURHKy8ubKHJCCNE9a2trpVMw1GYQ0wRcvXoVn376KebNmwcfHx+UlJSgsrISTk5OmDJlCoKDgxEWFoaLFy9i/fr12LRpU51vrqioCOvXr8fTp0+bJHYbGxt07doVV65cUXnFIH3h8/lcrPqcL1xVVLe6Q3WrO7qqW3Nzc0yfPr3BxG4QLfXPP/8cr7/+Oje9qDToK1eu4MmTJxg9ejT4fD4CAgJw5MgRnDt3DsOHD1daVnl5OZ4+fYpXX30VTk5OOo9dIBDA3t4efn5+TbJAgDZ069ZN3yGohOpWd6hudUcXdZuXl4cDBw6gvLzc8JN6dXU1/v77b/To0QNTpkxBZWUlunbtitjYWGRkZMDLy0tuRra2bdsqzLGsjJOTE1q0aKHL0AHUzMktFovh7Oyss4ULtEUikSA7Oxtubm5GMcsd1a3uUN3qjr7rVu9JvaioCGKxGD/99BOWLFkCoVCIjz/+GFu3buXmiJYlEomQk5Mjty0rKwtZWVkAgNzcXDx+/BhA0yxJxhiDRCKBRCIxii+H7H8NHdWt7lDd6o6+61bvSd3S0hIAMHz4cK675LXXXsPSpUvx2muvcQla6vHjx7CyspLblpKSgqSkJO6xdJ7m7OxsXYZutGr/USTaQ3WrO1S3qtF7UrexsYGTk5PSv2itW7fG/v37IZFIuJ9daWlpCAwMlNsvPj4eI0eOBFDTUj916hQAwM3NTcfR//dTSyAQGEWLJycnBy4uLkb1M9YY6zYvL0/pCCxra+smudbTEGOuW0Oni7pVp4Gq96QOAMHBwTh69ChefPFFWFpaYv/+/ejRowf8/PxgYWGBAwcOICQkBJcuXUJ6ejp69+4t93p3d3e4u7sDqFln8sKFCwDQJCcAYwx8Ph98Pt/gvxxS0ngNnbHWbUFBAdzd3ZV2F/D5fDx69Ejvid1Y65bO24YZRFJ/7bXXUFJSgunTp8PMzAwvvvgiYmNjIRAI8N5772HdunXYu3cvXFxckJiYqNJYTUL0pby8/H8JfRIAW5lnSiGRbFNowRt6q54YF4NI6mZmZoiLi0NcXJzCc15eXli5cqUeoiKksWwBNK93j7y8PLi6uhp0q54YF4NI6oQ8q9Rt1RPSEErqhBiEhlv1hKiCkjohtVAfNzFmlNQJkUF93MTYUVInRAb1cRNjR0mdEKWoj5sYJ8MfyU8IIURllNQJIcSEUFInhBATQkmdEEJMCF0oJUQNDx48kHtMY9eJoaGkTohKKgAAvXr1ktsqHbvu4OCgj6AIUUBJnRCVSBcylx2//t/YdUrqxFBQUidELTR+nRg2k0zqNjY2EAgEYIzp/FjSYzTFsRqLMcbVi7HEK/vfpjymuq9Rp25l91FnX22i81Z3dFG3AoHqqdokk3rXrl1hb28PsVjcZMesrq5usmM1hr29PbcorrFoyrrV5JwRi8WQSCRc3TZUhlgs5vZRZ19doPNWd7RZt/b29irva5JJ/cqVK/Dz84Ozs7POj8UYQ3V1NczMzAx+WTCJRIL8/Hw4OjoazbJg6tZtY2dYVKdFJPsaPp/P1W1DZQgEAm4fdfbVJjpvdUcXdZubm6vyviaZ1MvKyiAWi5v0ZOXxeAb/5eDxeFy9GHqsslSNNy8vD25ubo2aYVGTepHGp2rdyu6jzr66YAzngqmft6pQ59eaSSZ18mzSZIbF2i372uPQVfHgwQNIJBLk5uaiqqoKWVlZ6gdPiJZQUicmSLURKvXNna4a5WPXCdEnjZJ6QkICJk2ahPbt22s7HkKajPKWfRaAL1QsQdnYdXXLIES7NLrqkJqaCh8fHwQEBGDnzp20cAAxctKWfXMAoka+XtMyCNEOjZJ6ZmYmDh8+DFdXV8TFxcHd3R1xcXG4cOGCtuMjhKggLy8PGRkZCv/y8vL0HRppYhp1v/D5fAwfPhzDhw9Hfn4+UlNTsWPHDmzbtg0+Pj6IiYnB+PHj4eLiou14CSG10LqqRFajB306Ojpi1qxZ2LVrFwICAnDr1i289dZb8PDwQFRUlFrjKwkh6pO/NjBL5t8kSCQS6h59xjQqqRcXF2Pjxo148cUX0bVrV5SUlGD9+vV4+PAhNm7ciLNnzyIiIkJbsRJC6lW7b9+2nn2JqdKo++X06dP4v//7Pxw8eBACgQCRkZFISUlBt27duH1iYmLg4eGBESNGaC1YQkyB7Fh4TcbFE1IfjZL6oEGD0LNnT6xduxYRERGwtrZWul+HDh0QGRnZqAAJMR00rp3onkZJ/dq1a3juueca3M/T0xPbt2/X5BCEmCBl49ppTDvRLo361D09Peu8FTorKwtlZWWNCooQ09bYcfGE1E2jlnpsbCxsbW2xdetWhecWLVqEsrIyfP75540OjhBtqt1/Tf3ZxBRplNR/+uknbNiwQelzw4YNw/Tp0zUKpqSkBFOnToW7uztWrlwJAEhPT8fatWtx79497mYnf39/jconzyrqyybPDo26XwoLC2Frq3y4lEgkQn5+vkbBbN++HR4eHtxjsViM5ORk9OjRA3v27EFERASWLVuGoqIijconzyrZvuxZMv9e1084hOiQRkm9bdu2OHXqlNLnTp8+DS8vL7XLvHHjBh4+fIiBAwdy265fv44nT55g9OjRMDc3R0BAAFq3bo1z585pEjZ55tEcLcT0adynnpCQAAcHB8TExMDJyQl5eXnYvn07Vq1ahaVLl6pV3tOnT5GSkoI5c+bg33//5bZnZGTAy8tLbrWTtm3bIj09Xe71WVlZ3IXb3NxcPH78GACaZOkrxhi3zJahT+AvrQ9jWRJM3bo1lveljszMTIX3VXsVp4bet7Jl4Oi81R19161GSX327Nm4e/cuEhMTkZiYCIFAwK3MMWXKFMydO1et8vbv3w9/f3+0adNGLqlXVFRAJJJvTYlEIuTk5MhtS0lJQVJSEvdYehdrdna2WnE8K2rXn6kwrSkpaq4D9OnTR+EZHo+Pa9euwsHBAUDD7zs3NxcWFhbaD7GJmep5q20aJXUej4f169dj1qxZOH36NAoKCuDo6Ij+/furPcf6w4cPcfr0aXz66acKz1lZWXGtbqnHjx/DyspKblt8fDxGjhwJoOYElnYNubm5qRWLJhhjEIvFEAgERtHiycnJgYuLi9Gs9ahO3VZVVTVBVE2lrrnaS8HYNtjY2HDnd0Pv29nZWeG7QOet7uiibtVpoDZq5aP27ds3eqGMW7duobCwEFOmTAFQc4JWVVVhwoQJmDZtGtLT0yGRSLgPMy0tDYGBgXJluLu7w93dHUDNHwnpFMBNcQIwxsDn88Hn8w3+yyEljdfQqVu3xvCe1Kd8FSfZz7Ch963s86bzVnf0XbcaJ/Xq6mpcunQJ9+/fR2VlpcLzEyZMUKmcPn364IUXXuAenz17FmfOnMHChQtha2sLCwsLHDhwACEhIbh06RLS09PRu3dvTcMmhBCTplFS//333/Hqq68iMzMTjDGF53k8nspJ3dLSEpaWltxjkUgEMzMz2NvbAwDee+89rFu3Dnv37oWLiwsSExPRvHlzTcImhBCTp1FSnzp1Kpo1a4adO3eiU6dOWr0IM2DAAAwYMIB77OXlxd2IRAghpH4aJfWbN2/iq6++Qt++fbUdDyGEkEbQ6KpDhw4dUFJSou1YCCGENJJGSX3VqlVYtmwZbt++re14CCGENIJG3S8zZsxAdnY2nnvuObRo0ULhwiWPx8PVq1e1ER8hpJGUzUZpZWVFAw5MlEZJvVu3bkYztpWQZ1fds1Py+Xzcv3+/SW7QI01Lo6S+Y8cOLYdBiPry8vJQXl7OPab50Wur+65UiWSbXN0R09GoO0qBmrunsrKy4OLiAoGg0cURopK8vDy4uroazSRP+qX8rlRimjS+5/a7777DSy+9BKFQCA8PD1y7dg0AEBcXh927d2stQEKUKS8v/19Cl50jneZHJ0SjpvWePXswbtw4hIeHY/LkyZg8eTL3nLe3N7Zv346xY8dqLUhC6ibbCqVhto1RuztLqqKiQmESvdrT/xLDoVFST05OxqxZs/Dxxx+jurpaLql37twZq1at0lqAhBDdU7c7i8/n49GjR5TYDZBGSf3ff//FsGHDlD4nEolQXFzcqKDIs6l2S1E6hamdnR2cnZ31GJnpk+/Okr2omgXgi1rb6UKrIdMoqbu5ueH27dtyc7RIXbt2DZ6eno0OjDxb6mspUquwKdW+qFpSx3ZiqDRK6mPGjMHixYvh4+ODoKAgADU3HN24cQMrVqzA1KlTtRkjeQbU3VKkVqGuPHz4kFvIgYaDmg6NkvrixYtx8+ZNDBo0CI6OjgCAoUOHIjc3F6+88goSEhK0GiR5llCLUPdqbkqqvdgMMQ0aJXULCwscOnQIZ86cwcmTJ5GXlwcHBwcMHDgQAwcO1HaMarOxsYFAIFA617u2SY/RFMdqLMYYVy+GFm9D8dSO2dDib2qy9aF+XSi7KUnad65ZDLpkyOetMrrICercA9Sou4X69euHfv36NaYInejatSvs7e25xbCbQnV1dZMdqzHs7e2Vri6vbw19VmKxWG6fpvxsDZFsfWheF40bDlr7M9ElQz1v66PNnCBdNEgVGiX1jIyMBvdp3bq1JkVrxZUrV+Dn59ckIyYYY6iuroaZmZnBz4cjkUiQn58PR0dHg1vrsaGWiEAgkNvnWb97WbY+9FUXtT8TXTHk81YZXeSE3NxclffV6BPx8vJqMFh9tlzLysogFoubNMnyeDyDT+o8Ho+rF0OLtaF4asdsaPE3Ndn60FddNNV5ZMjnbX20Ga86v4g0Supff/21wrbCwkJ89913uHjxIpYvX65JsYQQQhpJo6QeEhKidHt0dDTmzJmDH3/8Ea+/TvNwEEJIU9N6B9WwYcOwd+9ebRdLCCFEBVpP6ufPn4dQKNR2sYQQQlSgUffLm2++qbCtqqoKt27dws8//4x58+Y1OjBCZNW+45HugCREOY2S+pEjRxS2CYVCtGrVChs2bEBsbGyjAyOkRt1LshFCFGmU1NPS0rQdByF1qGtJNvXvgCTkWfBs38FBjEhdswcSQmRplNTff/99lffl8XhYsGCBJochhBiZulZPopWSmo5GSX3VqlWoqqpCRUVNf6dQKERlZSUAwMrKChYWFty+lNQJeTbQnPiGQaMhjSdPnoSrqyu2bduG4uJilJeXo7i4GFu3boWrqytOnDiBwsJCFBYWoqCgQNsxE/LMe/DgATIyMpCRkWEwI4GULwY+C8AkSCQSmhO/iWjUUp8xYwbeeustTJw4kdtma2uLmJgYVFRUYPr06fjll1+0FiQhRMoYRgPRnPj6pFFSv3r1Ktq0aaP0OW9vb9y4cUPlsp4+fYpNmzbh6tWrKC0thZOTE8LDw9G3b18AQHp6OtauXYt79+7B1dUVcXFx8Pf31yRsQkyAduZCJ6ZLo+4XLy8vbNq0SWESeMYYNmzYoNYapdXV1XBwcMCSJUuwd+9eTJ8+HRs3bsTt27chFouRnJyMHj16YM+ePYiIiMCyZctQVFSkSdiEmBBpa7g5AJFeIyGGRaOW+vLlyzF69Gi0b98eI0aMgIuLC3JycnDkyBGkp6dj3759KpclFAoxduxY7nGnTp3g6+uLW7duoaKiAk+ePMHo0aPB5/MREBCAI0eO4Ny5cxg+fLgmoZMmRqMhCGlaGs/SePnyZSxfvhyHDh1CVlYW3N3d0aNHD+zbtw9dunTROKDKykr8888/GDFiBDIyMuDl5SU3MX7btm2Rnp6ucfmk6dBoCEKansY3H3Xp0kXrszFKJBKsXr0a7du3R9euXfHXX39BJJL/aSkSiZCTkyO3LSsrC1lZWQBqVgh5/PgxV56uMca4ZbYMfQJ/aX001ZJgZWVlMqMhZO8GLYVEsg1lZWVwcHBo0piI9tReXq6hz1DT5eia+rxtLH3nhEbfUZqZmYnMzEz4+/srJGB1SPvjCwoKkJSUBB6PBysrKy5BSz1+/BhWVlZy21JSUpCUlMQ9joiIAABkZ2drHI8pq/1HUVf+W4JL+WiI3Nxc7p4GdZbrIoZB9vOTPlZnf3U11Xlr7DRO6ps3b0ZSUhKysrLA4/Fw+fJlvPDCCwgLC0NQUBBmzpypclmMMWzatAlpaWlITk7mknbr1q2xf/9+SCQSrgsmLS0NgYGBcq+Pj4/HyJEjAdScOKdOnQIAuLm5afr21IpdLBZDIBAYRUs9JycHLi4uTbLWY1VVVb3POzs7c59RQ/sSwyP7+QHqfd7qaOrztrF0kRPUaaBqlNRXr16Nt99+G3PmzMGAAQMQHBzMPRcUFISvvvpKraSekpKCO3fuYMmSJbC2tua2+/n5wcLCAgcOHEBISAguXbqE9PR09O7dW+717u7ucHd3BwA8fPgQFy5cAIAmOQEYY+Dz+eDz+Qaf1KWk8TbFcVSNwxi+rERe7fNInc9bG8czVPrOCRol9bVr12LBggV47733FBaY7tixI+7cuaNyWTk5OTh27BjMzc0RExPDbR89ejTCw8Px3nvvYd26ddi7dy9cXFyQmJiI5s2baxI2MTCyd0Iayl2RhBg7jZL6gwcP6ryjzdzcHGVlZSqX5eLigsOHD9f5vJeXF1auXKl2jMSQGcNdkYQYJ41+y3h6etY5DcClS5fQoUOHRgVFTJ3sXZGz/vePFionRBs0SuqTJ0/GkiVLsG3bNpSU1Mxr/fTpUxw9ehQfffQR4uPjtRokMVV0VyQh2qZR98u8efOQkZGBuLg4LoFLL15OmzYN06ZN016ExCgou3OU+slNG60ba5g0HtK4Zs0azJo1C6dOnUJeXh4cHBwwYMAAtG/fXpvxESNQ352jxBTRNRFDpnZSr6yshKurKz777DOMGDECcXFxuoiLGBH5ebRpHVHTR+vGGjK1k7pQKIS1tTUEAlrelNRG64g+W+jzNkQaZeaoqChs3boVQ4cO1XY8xAjU7j+nvlRCDIdGSd3e3h4XL16En58fhg4dCldXV7k7p3g8HmbPnq21IInhoP5zQgybRkk9MTERQM3siDdv3lR4npK66VLef059qaRhtX/R0Zz6uqHyOPXnn3+eW6ZOOq1kamoq8vPzucfSf7WnDiCmiMaYE1X9N1rG09OT++fq6oq8vDw9x2Z6VG6p37hxQ64ftbq6GhMmTMDly5dhb2+vk+AIIaZA2WiZmjn1la2KRRqnUUNYaq9RSgghdVM+rz7RLhqXSOpEd4kSYnzUSurK5gY2ljnEiXpolAshxkmtpN6vXz+FSeoDAgIUtvF4PBQXFzc+Og3Z2NhAIBA0SfeQ9BjG0BXFGOPqpaF4Hz9+THeJEp27f/++wrlYe1SMOuetIdBFTlDnZk+V91y0aJFGwehD165dYW9vD7FY3GTHNJYRP/b29iotAPxf3dFdg0QXakbE1F7FDKhZ4ej+/ftyiV3V89aQaDMnqDMYxSST+pUrV+Dn5wdnZ2edH4sxhurqapiZmRl8V5REIkF+fj4cHR0Vfl3V7j9/9OhRU4dHnil1zR9TMyqmqqqKa53Wd94aIl3kBHUWZjfJC6VlZWUQi8VNmmR5PJ7BJ3Uej8fVi2yseXl5cHNzM6pWEDEVykfEyJ6jdZ23hk6b8arT62CSSd1UKRuNAjT+zjy6S5QQ00FJ3UjUNxqFz+fj0aNHWrjlWrbVRH3nhBgjSupGou45y5XfmaesVS+RSFBWVgY3Nzedx0sI0Q9K6kan4bvy6mvV83h8ZGdnwcXFRTfhEUL0ipK6iZC90/PBgwd1tuoZo/k2iHHKy8tDZWWl3Daa6VERJXWjV996kTTXBjENBQUF8Pf3V/j1qb3rSaaDkrrRUzbet/6RKw8ePJAb70vzuRBDV1FRoeTXJ830qAwldZOhysiVmlZ9nz59miAeQnSBfn02hJL6M4VWgSfGQfbXo0QiQXZ2th6jMS6U1J9JNJ8LMVT1XSMiqqCkrmV13fVZUVEBKysrhe109Z4QWer/mlR2Taiu75uy7ab23aSkrkWazEFOV+8JUUaVX5O6bdUb63fTKJJ6WVkZ1q9fj99//x1WVlYICwtDSEiIvsNSUPddn9JWhuZ3g9IIFUJqa6hVr8p29b6bxsAoknpKSgqePn2K7du3IycnBwsWLECrVq3QrVs3fYdWh7paGY27G5QQooyq3zdl21X/bhoLg0/qlZWVOHfuHFatWgVra2t4eXkhODgYJ0+e1ElSV9ZKrq/PzdHRUavHb7i1TwgxFsryia776g0+qT948ACMMXh6enLb2rRpgwsXLmj9WOq2kvl8PrKzs9G8eXOtx0IjVAgxbnWtU6DrvnqDT+qVlZWwtraW2yYSiVBRUcE9zsrKQlZWFoCaFUIeP34MAGp3YZSVlf3vNeEARP/bmgPgaK1tAPAYEsmXuHPnDlxdXSEQCPDw4cP/PVdaq+THdWyveZyZmcnF+l/fuaplKNuuzr7aKKOpj2coZRhjzNoowxhjVrcMxe8mULPwhbK1R2W3M8YgFovx6NEjJfmkJm+UlZXBwcFBoRxt4DEDX8n17t27eOutt3DgwAFu27lz57B7925s2LABALB48WIkJSVxz0dERODjjz9W+1gFBQV4/nl/MNaY/mwegMZWqTbKIIRo20svvYSLFy+qvF3Zd5nH4+PatatqJ/XNmzcjLi4OLVq0qHc/g2+pt2zZEgCQkZGB1q1bAwDS0tK4/weA+Ph4jBw5EkBNS/3UqVMAoPa84W5ubsjOzlK5T10sFsPMzAxisRgCgYBbdkvZyt/1lVF7f3XLUHXsrUQiwYMHD9CyZUuFtR7VGb/b2H1VLUPa4nn69KnCr7WmjEOVfWuvo6nvumtoe3l5OczNzbnzVtfHa0wZ0rq1traGSCSqd19txqHse6hOS10gEKC6ulqhDE361NW5o9bgk7pQKETv3r2RmpqK2bNnIzc3FydOnMDMmTO5fdzd3eHu7g4AePjwIdffrskiterOMy77ARr6+okSiQRCoRBubm5Gs4Av1a1uUN3qjr7r1uCTOlDTEl+3bh2io6NhZWWFUaNGGfBwRkII0R+jSOo2NjZISEjQdxiEEGLwjCKpayIvL69JjiMQCGBvb4/c3FyIxeImOWZjGcuMd1S3ukN1qzu6qFt18pnJJXVra2uYm5vLjZYhNUpLS/Hbb7+hW7dusLW1bfgFRGVUt7pDdVvD3Nxc6YCB2gx+SKMmioqKjHLOBl27fv06hgwZguPHj8PPz0/f4ZgUqlvdobqtYW1trdKNjibXUgeA5s2b6+guT+Mm/fnq7Ozc4FhXoh6qW92hulWP4Y8PIoQQojJK6s8Qd3d3LFq0iBvTT7SH6lZ3qG7VY5J96oQQ8qyiljohhJgQSuqEEGJCKKkTQogJMckhjaRhBw4cwJkzZ5CTkwORSIR+/fphzJgxMDMz03doRsdY1tA1Nk+fPsWmTZtw9epVlJaWwsnJCeHh4ejbt6++QzNolNSfUYwxvPnmm2jTpg0KCgqwZMkSWFtbY9SoUfoOzegY3xq6xqG6uhoODg5YsmQJXF1dcevWLbz//vtwdXWFj4+PvsMzWNT98owaNWoU2rdvD4FAABcXF/Tt2xd//vmnvsMyOtI1dMePH6+whi5pHKFQiLFjx8LNzQ08Hg+dOnWCr68vbt26pe/QDBoldQIAuHnzptzCI0Q1da2hm5GRoceoTFNlZSX++ecfubomiiipE3zzzTe4d+8ewsLC9B2K0VFlDV3SeBKJBKtXr0b79u3RtWtXfYdj0KhP3QQtX74c58+fr/P5w4cPc/9/5swZfPXVV/jggw9gZ2fXFOGZFKFQqJDAy8vLlS6PRjTDGMOGDRtQUFCApKQkg1+pSd8oqZsgVRcU+eGHH7B9+3YkJyejVatWOo7KNKmyhi7RHGMMmzZtQlpaGpKTk+mPpQqo++UZ9eOPP2Lr1q1YtGgR9VE2guwauuXl5UhPT8eJEycwaNAgfYdmElJSUnDnzh0kJSWpNJc4oblfnlmxsbHIz8+Hubk5t61Tp05YvHix/oIyUmVlZVi3bh03Tv3VV1+lcepakJOTg9jYWJibm8vdPzF69GiEh4frMTLDRkmdEEJMCHW/EEKICaGkTgghJoSSOiGEmBBK6oQQYkIoqRNCiAmhpE4IISaEkjohhJgQSuqEEGJCKKkTUssPP/wAHo+HX3/9Vd+hEKI2SuqEEGJCKKkTQogJoaROTMaOHTsgEAjw6NEjue0FBQWwsLBASkoKLly4gJEjR6JFixYQiUTo0qULUlNT6y333r174PF42Ldvn9z2WbNmwcvLS27b/fv3MW7cODg5OcHKygqBgYH47bff5PY5fPgwXnzxRdjY2KB58+Z48cUXcezYMc3fOCEyKKkTkxEWFgaBQICvvvpKbvv+/fsBAK+99hrS09PRu3dvbN26FUeOHMGoUaMwadIk7Ny5s9HHLywsRJ8+ffDHH39g7dq12L9/P0QiEfr374+cnBwAwN27dzF69Gh07twZX3/9Nb744guEh4ejsLCw0ccnBKBFMogJadasGYYNG4Y9e/ZgxowZ3PY9e/YgODgYDg4OiIiI4LYzxhAYGIj79+8jJSUFUVFRjTr+6tWrUVRUhF9++QUuLi4AgAEDBqBDhw5YuXIlVqxYgStXruDp06dYt24dbG1tAQCDBw9u1HEJkUUtdWJSIiMjceHCBW7h56ysLPz444+IjIwEUNOafvPNN+Hp6Qlzc3OYm5tj8+bN+Ouvvxp97BMnTqBfv35wcHCAWCyGWCyGmZkZ+vbti8uXLwMAnn/+eZiZmWHMmDE4cuQIiouLG31cQmRRUicm5ZVXXoFIJMLevXsBAF9++SWEQiFCQ0MBANHR0dizZw/mzZuHEydO4PLly4iJiUFlZWWjj52Xl4eDBw9yfyyk/1JTU5GZmQkA6NChA7755hsUFxcjLCwMzs7OGDlyJPdHiJDGou4XYlKsrKwQGhqKvXv3Yv78+di7dy9GjBgBkUiEyspKfPPNN/jkk0/wxhtvcK+RSCT1likUCgEAVVVVcttr94M7ODhgyJAhSE5OVijD0tKS+/8hQ4ZgyJAhKCkpwfHjxzF79mxMnDgRp0+fVvv9ElIbJXViciIjIzF8+HB89913uHjxIrcQ95MnTyCRSGBhYcHtW1paisOHD9dbnouLC8zNzXHr1i1uW1VVFX788Ue5/QYOHIjPPvsMvr6+EIlEDcZpZ2eH8PBwXLp0CXv27FHnLRJSJ0rqxOQMGjQIjo6OiImJQfPmzTF06FAANRdSu3fvjuXLl8PZ2RkCgQDLly9Hs2bNuNEpyvD5fLz66qtYt24d2rVrBycnJ6xbtw6MMfB4PG6/OXPmYPfu3ejbty9mzpyJ1q1bIzc3F5cuXUKLFi0we/ZsbljlkCFD4O7ujrS0NHz22WcIDg7Web2QZwQjxATFx8czAGzSpEly2//++2/Wv39/Zm1tzTw8PNhHH33EFi1axEQiEbfPmTNnGAB2+fJlbltOTg4LDQ1ldnZ2rGXLlmz16tVs5syZzNPTU678rKwsNmnSJObu7s4sLCxYq1at2OjRo9m5c+cYY4ydP3+eDR8+nHu+devWbObMmaykpER3lUGeKbTwNCGEmBAa/UIIISaEkjohhJgQSuqEEGJCKKkTQogJoaROCCEmhJI6IYSYEErqhBBiQiipE0KICaGkTgghJoSSOiGEmBBK6oQQYkL+H1kF6alfkPK9AAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "%matplotlib inline\n", "import numpy as np\n", "import pandas as pd\n", "import plotnine as p9\n", "\n", "rng = np.random.default_rng(seed=123)\n", "random_numbers = rng.standard_normal(size=1000)\n", "plt = (\n", " p9.ggplot(pd.DataFrame({\"values\" : random_numbers}), p9.aes(x=\"values\"))\n", " + p9.theme_bw()\n", " + p9.geom_histogram(color=\"black\", fill=\"navy\", bins=50)\n", " + p9.ylab(\"Frequency\")\n", " + p9.ggtitle(\"Randomly-generated numbers\\nfrom normal distribution\")\n", " + p9.theme(figure_size=(4, 1.7))\n", ")\n", "print(plt)" ] }, { "cell_type": "code", "execution_count": 2, "id": "a7380fbd", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": {}, "output_type": "display_data" }, { "name": "stdout", "output_type": "stream", "text": [ "\n" ] } ], "source": [ "from isotree import IsolationForest\n", "\n", "model = IsolationForest(ndim=1, ntrees=10).fit(random_numbers.reshape((-1,1)))\n", "scores = model.predict(random_numbers.reshape((-1,1)), output=\"avg_depth\")\n", "plt = (\n", " p9.ggplot(\n", " pd.DataFrame({\"values\" : random_numbers, \"score\" : scores}),\n", " p9.aes(x=\"values\", y=\"score\")\n", " )\n", " + p9.theme_bw()\n", " + p9.geom_point(color=\"darkred\")\n", " + p9.ylab(\"Average isolation depth\")\n", " + p9.ggtitle(\"Average isolation depth\\nfor normally-distributed numbers\")\n", " + p9.theme(figure_size=(4, 1.7))\n", ")\n", "print(plt)" ] }, { "cell_type": "markdown", "id": "3fb6c333", "metadata": {}, "source": [ "As expected, the isolation depth in this sample of randomly-generated numbers following\n", "a normal distribution looks very similar to its probability distribution function, achieving\n", "the goal of determining which kind of points are more common or less common compared to the\n", "rest.\n", "\n", "Of course, for simple 1D data, a kernel density estimate or similar would do a better job, but\n", "once we start adding more dimensions to the data, something like a kernel density estimate\n", "starts sounding less and less suitable, and more susceptible to the presence of outliers\n", "(which is what we want to detect in the first place).\n", "\n", "## 1.4 An example in 2D\n", "\n", "The next example will now generate **standardized** outlier scores (see references for details\n", "about this) for randomly-generated two-dimensional data.\n", "\n", "In order to illustrate the advantages of isolation forests, this next example will generate\n", "**two** clusters of normally-distributed numbers, and will add an outlier along the way\n", "which could not be determined to be an outlier if looking at only one of the variables\n", "in isolation.\n", "\n", "For many other outlier/anomaly detection methods, having multi-modal distributions\n", "like this is a big problem, and their performance suffers from contamination of the training\n", "data with outliers. For isolation forests, these are not problematic:\n" ] }, { "cell_type": "code", "execution_count": 3, "id": "ac4b28ad", "metadata": {}, "outputs": [ { "data": { "image/png": "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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from matplotlib import pyplot\n", "\n", "### Randomly-generated data from different distributions\n", "cluster1 = pd.DataFrame({\n", " \"x\" : rng.normal(-1, .4, size=1000),\n", " \"y\" : rng.normal(-1, .2, size=1000),\n", "})\n", "cluster2 = pd.DataFrame({\n", " \"x\" : rng.normal(+1, .2, size=1000),\n", " \"y\" : rng.normal(+1, .4, size=1000),\n", "})\n", "outlier = pd.DataFrame({\n", " \"x\" : [-1],\n", " \"y\" : [ 1],\n", "})\n", "\n", "### Putting them together\n", "X = pd.concat([cluster1, cluster2, outlier], axis=0, ignore_index=True)\n", "\n", "### Function to produce a heatmap of the scores\n", "pts = np.linspace(-3, 3, 250)\n", "space = np.array( np.meshgrid(pts, pts) ).reshape((2, -1)).T\n", "space_index = pd.MultiIndex.from_arrays([space[:, 0], space[:, 1]])\n", "def plot_space(Z, space_index, X):\n", " df = pd.DataFrame({\"z\" : Z}, index = space_index)\n", " df = df.unstack()\n", " df = df[df.columns.values[::-1]]\n", " pyplot.imshow(df, extent = [-3, 3, -3, 3], cmap = 'hot_r')\n", " pyplot.scatter(x = X['x'], y = X['y'], alpha = .15, c = 'navy')\n", " \n", "model = IsolationForest(ndim=1, ntrees=100).fit(X)\n", "scores = model.predict(space)\n", "plot_space(scores, space_index, X)\n", "pyplot.title(\n", " \"Outlier Scores\\n(clustered data with an outlier on top)\",\n", " fontsize=15\n", ")\n", "pyplot.show()" ] }, { "cell_type": "markdown", "id": "ba6a9af2", "metadata": {}, "source": [ "** *\n", "# 2. Variations of isolation forests\n", "\n", "The isolation forest algorithm, as originally introduced in the paper \"Isolation forest\",\n", "tends to provide reasonably good performance out-of-the-box across a variety of datasets and\n", "problem domains, but it is far from universal or perfect: it suffers from many biases which\n", "affect its performance, and there have been many sub-sequent papers trying to address some\n", "of its issues by introducing changes in the splitting logic or in other aspects.\n", "\n", "For example, in the plot above, it can be seen that it generated \"ghost\" regions of high\n", "inlierness in areas parallel to the clusters along each axis, despite there not being any\n", "data in those regions.\n", "\n", "Enhanced variations of the algorithm have been proposed for example by introducing changes\n", "in the logic as follows:\n", "\n", "* Making splits with respect to a randomly-chosen hyperplane instead of making only\n", "axis-parallel splits.\n", "* Choosing the split point more carefully according to criteria related to standard deviations\n", "or to density.\n", "* Choosing the column more carefully according to other criteria (e.g. ranges, variances,\n", "kurtosis, etc.).\n", "* Changing the way in which outlier scores are calculated in order to look at more pieces\n", "of information from the trees.\n", "\n", "Here are some example variations on the same data as before:" ] }, { "cell_type": "code", "execution_count": 4, "id": "5c74515f", "metadata": {}, "outputs": [ { "data": { "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbAAAAKHCAYAAADg2R2iAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjQuMywgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy/MnkTPAAAACXBIWXMAAAsTAAALEwEAmpwYAAEAAElEQVR4nOz9ebxt2XXXh37n6na/T3+7qlu3OkmlqrKeZVsywtgSpgc/iMH4kUCC8yGY92gCJIFHgBCT5OXRhebxIM8iEOMPBtM6AWxsjC3LcWwkS7ZU0q1GVbeae257+rP7vdr3x1rz7LHHWfs0955bV7q1x+ezz1nNXHPNNdcc3W+MOZfJsow5zWlOc5rTnL7WyHnYDZjTnOY0pznN6V5orsDmNKc5zWlOX5M0V2BzmtOc5jSnr0maK7A5zWlOc5rT1yTNFdic5jSnOc3pa5LmCmxOc5rTnOb0NUnvOQVmjPk+Y8zWGdf5pDEmM8Z8xymv+25jzPeUHP8ZY8w/O7MGHt+Onynar39/9t1qw1FkjPn1xpg/9rDb8bCpGLtl7ykzxvyeU9Tz/qKuxQfY3LL7Nou2fs8Z1PViUdcnjihzT3x5gnufmj9n9bkx5nuKNjbPso1HtON7ZoyfN96N+x9HxphzRT89eZLy3gNuz5yOpu8GVoEfUMf/IBC9y235FPCn1bH1d7kNs+jXA98F/PWH3I6vBtoHfmPJ8dMIoPcD/y35uNu7/ybN6QQ0q89/FPgYMHiX2/PtwFDsj97l+8+ic+T99DPA28cVniuwr0LKsuzlh3DbnSzL/v1ZVWaMMUAly7KvFsZ4VCg+y/c0p4dLWZZtApsP4da/mGVZ76wqM8bUsiwbHl/ybOk9ByFqMsb4xpi/Yoy5bowZG2NuGWN+xBgTiDJfb4z5KWPMwBiza4z5IWPM+WPq/U+MMT9njNkprvmUMeabxPkfAH4H8HHhxn9fce4QRGGM+XZjzGeMMSNjzF1jzN+WsIMx5hMWUjHG/FNjTM8Y86Yx5g+eUT/9YWPM60UfvWGM+ePq/PcZY7aMMb/KGPOL5Bbd7yzOfasx5tNF/20bY/6OMaYlrl00xvwvRd+Pinfxd2y9wH8JXBH99ANn8UyPIhlj/kTRh8+LYx81xsTGmN9fQG7/qjj1VtGfb4uyTxhjfrgYtwNjzE8YYz4gzltY7ruNMd9vjNk3xtwwxvx5Y8yUPDHG/A5jzFeMMUNjzM8Cz81o839mjLlajK13jDF/sqTMHzTGrBtj+saYfwVcvMf++a3GmM8X9ewWPPVxcb5ujPn/GGPuFP34i8aYX39Mnc8VfbZe9NlVY8wfs/1xVJ+bEgjRGLNqjPn7Ba8MCnnwTeqeb5tcbv3xov93izYs3ku/qLqPlHdiDPxuY8wPGmP27PMZY5aNMZ8sZNTIGPPzxphvVvX/PmPMy8W42Cpkwwsmhw2/VBT7lOX3IxubZdl76gd8H7Al9v8ccBv4vcC3kcN6PwDUivNr5C7/LwD/AfB7gBvAS0BQlHkSyIDvUPV+L/BrgN8E/CC5y/50cf4Z4KeBXwJ+RfF7vDj3M8A/E3W9AITkcMNvAf7vRZt+XJT5RNGG14E/C/w64O8Vxz56TJ/8DPDPyT3yg584//uLev4ncjjv/w2kwJ9S/ToArgF/APjVwAeAbwHGwD8GfjPwHwM31fP9PeBV4P8GfLzo408W5x4Hfqh4R7afnnnY4+hhjl39ntS7coCfA36xOFcFXgF+rDjfJjcIMuA7i/78cHFuGbgO/DI5H3xHUdc6E36wY/3tYjz8OuAvFMe+W7TjG4AY+KfF+P8TwJtFue8R5f4EOVz+/yrq+lPFePnDosxvK677n4HfAPyPRZsy4BNH9Jdt63cInguBv0wOof1m4L8BvlNc80NAF/gjRbv/RdG+X6X4RY7fXwP8eeD/Ss6Hf4wc6v2vT9Dn31Mcb4r6fg64A/ynRZ0/W7TpWVHm7eJd/eviOb4X6AF/+5gxZO+3wPQYMvcg724Df6t4b98OVMjl2ZvAf0IOdf/vRdsvFNd+W9Gf/3XRV7+VXJ78yuL6/6io+w8W/fQrjnyeh82UD0sIiP1/DfxPR5T/C8ULbYtj31x08n9YxigldTjFIHkV+HPi+D8DfqakvGaQHyZXTK449t3FPT9W7H+i2P/vRBmfHJ74C8f0yc8U1+qfV7T9JvC/qmv+NjmTVkW/ZsBvU+X+D+BT6ti3F2VfLPa/DPyRI9r3V4C3H/bYedg/0cdlvydFuWfJhdl/A/xVYAe4JM5/h76mOP7fA9vAsji2VLznP6TG+g+qa78A/LDY/yfAyxSCsTj2ZxAKjFyw94D/VtX135ELcLfY/yzwb1SZv8PpFdh3AdtHlP8guWH2e8UxpxifP6H45Z/NqMMUfPOngTdP0Offg1Bg5EI/Az4uyjTI+fj7xbG3yY1Fabz8deDOMWPI3k///rPi/Gnk3Y+oun8fuYHwPnHMK9r5l4v9/wr4/BHte/G49yp/73kIkZzxvscY8yeNMR8yxhh1/qPAv82yrGMPZFn2GfIB9KtmVWqM+aDJoci7QEJudXyAPJh7Wvoo+WBJxLF/Tm7h6jb8W9HOiFzxPX6Ce/w08BH5y7IsLq69RG5JS/rH5ALo68SxDPg3dscYUycPUP8TY4xnf+QWZgR8Y1H0C8CfKGCie+mf9xLto95T8btlC2RZ9gbw/yRXYH+U3Di4dbiqQ/RrgZ8EOuJddYHPA9+kyv5btf8y0+Pso8C/zAqpVNC/UNd8jFw4/1M1Pn4aOA88Xux/A7klL0nXdRL6ErBQwHO/3hjTUOc/Qq6ADsZ6lmVpsX8Ur1cLCPUNcu/RepRPFe0/DX0U2Miy7NOiDX1yQ1u34VMFj1p6GThnjPFPcJ9vY3r8/G/i/ieVdz+q9n8t+Vh5S7xLgE8zGT9fAD5sjPlrxphvMyJUcy80V2DwP5C7wX8Q+CKwboz5o+L8ReBuyXV3ySGXQ2Ty+M6/BS4D/wXwreSD5IvkkM5p6VAbCmW2XdKGPbUfnvCeu1mWfU7+xL3R9xf78v67WZaFYn8JcMm9tUj8xuTe4eWi3B8mZ6A/B7xm8ljb7zpBm9+LFOv3VPxCVe6fF/93OGx8zKJVchg3Ur9fzeRdWdpT+3qcXQA2VBm9v1r8v6ru96ni+OWijHuCuo6lLMteI4cjnwZ+DNgyxvxDY8xaUeQi0MuyTGcE3gXqxpjKjKr/Irln8UlyOO8j5HIFTs/vFyl/tjJ5s6f2Q3IFPKudkn5ZjR87teg08k6XWyWH/fT4+U8pxk+WZf+u2P82ck92yxjzt0qMiRPRez4LMcuz5P4c8OeMMe8jjy/9dWPMa1mW/Tg5znuu5NLz5NZGGX2M3Br9dVmWvWoPGmMW7rGZh9pgjHGBFXIB9SDpdvFf94EN6sr7Z6rMXnHs+8gFhqZbAFmW7QH/OfCfG2M+BPxJ4IeMMS9lDycj81Gg/x95jOQcef/rKRJltAP8S3IoUVP3lPe/w+Exo/ft2PkOyoXma+Rx4+QEdZ2Isiz7UeBHC178LeSw298Efhf5WG8aY+pKiZ0HBlmWjWdU+zuBv5ll2V+yB4wxv+Ve2sfR8uZB8/px99fyTvP7DvA54P9Rcv1B32VZ9veBv18YDr8d+Gvk4+tPnbaxcw9MUJZlr5NbUmPAZnF9BvgNZjpr7iPkOPDPzaiqVvw/eGnGmF9ZXCPppN7RZ4DvLJSWpd9OboDMasNZ0Q1yRfM71fHvBjpMsoYOUQF9/HvgAzO8hkOwVpZlL5EH9h0mWWsn7ac5kWfAkiuF302ePPAnjTEfFUWst6b79KfIE4aulryr107ZjF8EfquC5H+7KvML5Arq0ozx0S0gsl8m95w4oq5TUZZl+1mW/UPgR5jw+i+SC+XvsuWK9n8XR/NZjWled8kVoqRZfa7pM+Qw4LeJ+urkyvZB87q9/2nlnaWfIo+/Xi95l4fkRJZlm1mWfT95nNy+g5P2EzD3wDDG/Ai5ZfHL5Mz0XeT98rNFkb9KblH8hDHmLwJN8kDnl5jANJr+PXlw+u8YY/4SuTf2feTJEJJeBX6bMeY/oFAUM2IV/0PRvv/NGPM/F/X9RfLA8i+c8pFPRVmWpSZPZf9+Y8w2eYzk4+R98qez4+d5/Ungp4wxKXnSShd4gpwh/0yWZV8xxvwcuSD5MrkA+f1Anzx4D3k/nTf5Cg5fJk/CefvMHvJrizxjzK8oOb6eZdlNY8zjwN8gD5p/BviMMeZ3kFu8Hy7el1VGf8AY88Pk3sWXyMf67wF+2hjzN8nH63ny9/1zWZb9o1O08y+SC8N/Yoz5u+TB+d8nC2RZtleMrb9hjLlCznMOeZz4V2dZ9p1F0f8R+BfF2P+Roj1lk7mPJGPMHyBHR36c3Ch7H7lh9oNFe14xxvwj4P9bCPBr5GPxOcq9Cks/CfyhIga2A/whDsN4s/p8irIs+wljzM8D/9gY86fIwwT/FbmS/MunfeZ7oHuRd5Z+kBzB+hljzF8hz0ZcIY+r3cmy7K8ZY/48ORT5M+QZtR8mf5/W+7pOLod/rzFmH4hEOOMwnSTT41H6cTgL8U+Qu7375ML1MxzOpPsweWB5QA6L/UPgvDj/JIfT6H8jubAdkqeg/mYOZxeukjPkTnH992UzspzIU3U/Qz6/aoM8riRTbz+ByOwTxw/VVdInJynzR8hXewiLgfnHj+pXde6byYVGh1wxvUzOKAvF+b9MziDdon8/BXyruL4K/K/Fc2fADzzscfQQx+6sLMQ/W5T58aIvA3HdY8AuItuW3DN7hzwR6G1x/FLR13fJvYq3gX8AvDBrrBfHfwD4nDr2O4sxMyK33j+CSqMvyv0eciNyWLTzM8B/ocr8YXIjb0AOR/96Tp+F+DHyxINbRZveIle0FXFNnRxStM//OeA3HMUv5Er+R4rxfRf4S0ymnjSP6nPK0+jXyJXBbtEnnyZPqpJteBv4K+rYobpK+uQkZU4t78S5BXIDap1cVtwgT7j5luL8d5B7apvFO3iNXHnJbNXfDXyluD47iids7v+c5jSnOc1pTl9TNI+BzWlOc5rTnL4m6b4VWDEH4rPGmC+afAmVP38WDZvTnN6rNOepOc3pZHTfEGKRpdPIsqxXTKD7OeCPZvMFR+c0p3uiOU/NaU4no/vOQsxyDWhXNfaL3zywNqc53SPNeWpOczoZnUkMzBjjGmO+QJ4l9pNZnr47pznN6R5pzlNzmtPxdCbzwLJ8WaOvN/lS/j9ijHkxy7IvyzLGmO8lXzEZ4BsfdPaIOeIn7+0UxxD/s5J9bf5m4ry8xpZNi5+9ZybulXG4Lbp+U7Itj7mqDr2Ao77Obsv7yWM+k8FgV/CV9TvIDUWeuokhf/hM/I8hyfJ1ZWzfxEy+2pkyWXfmq93V2M2nC6wdX/Le6V54yo6Jk/TfUWXKxtK9lLkXKhvrs+5pjih3FF+U1ekw3SfH9aFlA83P+lp5TrdXbuv6ZJmj3qmWQ5rKZJSuW5+X8s8h503ZRk2Wxe21R/XdrPOb98hTZ55Gb4z5c+ST9P7KrDKuMdmDXlbBBwLy2YQBeecHxfEqk5dRLY65xf+UfN0aimMwWYk3KY4lRTlHlItUuRH5pCbbjkTcy9bjk69kautDnHPE/X31n+I6+yz2Z6+3bfLVtu0DfZ8G+USWlWJ/RdTpk0+MqQKmKRos1wRZE51oGzoSvzGwDZ1xvr5Ql3yCyTb5pBnbX3fJZ86+25+iPi39k3w1bb247QOjk/CUZ0zWJH8F7owyido/qp/l+Csb70fdY9a5kxqtevzL43qV2jqHBaxtnx2/DtNt1v1geVSfk9tuyb6vjlfFvj0WMeFTV1yXcJif5fPa6/U95LPKbd0+20ZUeV2vfDb77kbq+WQdsg2QT9SyRqmtQ44r2S4rG+X19lk/eY88dRZZiGuFlYgxpkb+bZhXj7xoTnOa00y6F56SZqgUoDBxnKUAtf+tgC8jKeCsAJSCSt6v7L8me/1xVCbkbFu00pX7ZYJRClfbD/b5y5SaFNhlClRSqo7LOtzivFa4+l245MrT9rFPbnSXGQFaUWtARD6Py/Tz2vJaMennlca1NAC0QZOQKy/5To9SXva8foZZY+WkdBYQ4kXyZWpsn/2TLMv+9RnUO6c5vVfpnniqTKBaQWqFkBQg0mORykcKJEQZe4+Uw0Jb/peC8Kh2auGr69GeE+KcbI88r/dtPfacFP52v8zzke2S3smstpQ9q/aMyrwamF70b5ZCsiQRHCjvZztoKDmn+1SOCVteeotascuxIY0ZqbzK+kgqurMMH51FFuJL5EuPzGlOczoDepA8JQU3HFZ6ZYJYCrEy5TarvKVZikyel4pAKt6yOmYpanl/X5W39er491FwqG7fUSQ9Cu3dybZqL0lee5Ri0eWOUgJlkKJuS1n9ZQpWK0v7S8V/S77a12VlmyWceT/0nl/Md05zepRICvfjBDOUCzJ5DiZWv6Wy7aMU36zzstxR0N1RdNz9rSCXzyBjw2UeTlls8Chv8ii4UNet65MKo8wj1ftlXrO+h4Yy5XXSeNF9UvZlSam80pL/spweF8dByscp4pPQXIHNaU6PCB3nuVg6rdAoUzBSOcDR1vQsRSaF6SyS3tMsqFBa9xLqknWXJW5Y0l7pLCUmqczjmwWfWo+oLDHFxiFtnYm4Rscxteepj8v6peKySWw2Hqg9Xet5oeqS40grr1llUO0uG4vaG7sfmiuwOc3pEaEyi/aoWJSlo7wwXY8WnoEqM0uRaYV3Gi9L1iGv1R4W6rwsc1Q9UO79zPLEygS4Vpi6PUd5WhLSK4NQHfV/Vj8GHG6DzmK0+zoG6jD5oFnZGCp7r3LMRKKsJg0t2mtnxelOQ3MFNqc5PQKk5zceR1IJnJSkEiuLz5TFXvT2Ufc9qSAr81JsuvosklCfvS6acU/ZzuPgxLI+L4MSrTLRHolDebxOt2OWwtLl7P3slCF5L6kc7UwX1LZ9h1IhHedZ6QQeeVwbR2XQ4/3QXIHNaU6PCGn4SHs9ZQJeC5CTemJacM+yqLVAKxNys4S0nLtUFhOS95RlZiky6dlYJabhLO3d6GQD2acaErR9JyFB+98lVyqhKG+PSXhRnq8yrTwk1AfTXpuO6+k+0HPPInXc1iefTU5BgHL4UO7LfpQLFFiyyussPC9LcwU2pzk9AlS2GoMWYhHlcRhKjkk4Sx/nmHOzqMwLKaOTwJ5l9yzLdJvllZYtHGBJ3tvOg9KemFVuWtnqdkvvS9YdqfOW7KIHsn/LvMCy92gVV5nnZbflO7Pp+9YTlX0wUmUjphV72balsiQPqejsdWdBcwU2pzk9AmQ4LCS15zUryUCS9uKOEjQ22eEkk5Nhej7arPtqmEp6BbPaMisWZutwS7bl+ZDD8aNZ7ZOkY1NaCZYpRenh6AnL0oPUsFxZDFJeY9vvq/Jy0raFCXU/VZlWltYz1ZPWZazO0nHKa1a6/lnRXIHNaU6PCElvQApQKTThsKCeJZCst6TnTukYxkkVmL2Xvr9sq/agZJlZZJ9PJyro+mC2IizLlDyqn2YpO61ktFcUiTJVcVynttv3FQB9Dr9PfY0rystjWukkTE+ctopNKsyROi+hzaPetVR4R/WPJT0X8V5orsDmNKdHjMrSrXW2oD1vhVtYcj5V/2HiQdmVFbRHdRJhNCvFvWzelBZ42iuQJD0tTWXemT2uU9ZtXWVzu8qUqvR4ZglufVxDgFrx6dibvJdUXPp6qcykB2vbHTCBKS3J9122sonumzLvrMxbk0pRt13S/aTUzxXYnOb0iFJZUoQkK9ykYLGCKOJkFrIV8lrQHeW92P3TQHZHtVXXmzCBBSXJTMWyWFmZEtMe21GrY2jPT18n15203peGfcuU7FGLciPaKNPm9bWI62Tii8zElLG2suzDWeNAx0X1cx8VYzxNFmwZzRXYnOb0iNCseUnaw9GKyWbCSS9CWvEyJiK9Lu2ZybTp46DHMuV1kqQLm7k3S/DJZ5NKbFYcTHoKWnnMghW1IE+Y9mxmxcuskok4rPBk27V3atsovzoh2yoVoYyBaSVqr5UJKPbd6kSRkygvbbDMSmKxVNYv9wMfwlyBzWlOjxSVCViYFqxa0ZXBPtLjsXGZWR7PUZmJs6hMWR0HJcn7zBKGtr1l10myn1my9VGyDdN9U+ap2HNSgViyHo+r9m05e52GfKWnaZNkrPLSXpRcQUN7ZjIxRhsltm77K4MF5ba9n06tt204KitxlsFwFp9NmiuwOc3pESDDtOV9lBIr8yB0PKfsuPTOYPobeIhyMK3YZtFJYURdxnpWWlhKOE8rY0s6ZlOWqCLvL5MSpBKTBoCeyyVJpslbCNNOMj5qXp5UULKs/cah3bbPJBVXWaZn2b2s8rIkPW1NVVH+OEND9v0s42BW3PO0NFdgc5rTI0RHZevNorI051melIakQnFMJoLINOqye8hyTsk2lMNxrjon9/V1R63MUZbUUaYwtcJyxc8Kcwmfyuu18rfwJ0wUmYbotBKW9UCuvOznTuwKGmUJITB5N3o/Ldpu35f0vnSSilTMMjuxbHzod13WpjIlOc9CnNOc5jRF0gs5DtbTsbLjlKCstyzGYj2NkSg/SynqWIttj4z92GNHtatM2Jd5lfK+Ouan2yQhN30vqwBntUm3RyZguEx/Fd6el0pXKh5fbduPTVpFoBWHbbP19OR7sB6zhgLL4oCy30ZMYnd64rOspwxmLlNe9+t5WZorsDnN6RGmo5SHpbJkjKPqk/9npbNrpagD/LMUkzyuldis+FQZaQUzS4mV1Wvvb0muNC/rc9R+KsrDtFKS87Kq4jotyKXXEwB11UZ7XE4il0pWPouFR633ZJVXWPzkO9LerDZ+joJby1LydVvK4mlQrvBOQ3MFNqc5PaKkY1gwO729LHtwltIpg/VmZaTZcxYuO05Yla0mImNuGp7T7TiK5PkyxSGTEWxfSMWjr5ML5pZ5HRZelAkbMn1eJ2AgjrWAhqhbwo1SKcpMUdkWq+C0spDvBVFe1iPfZ8A0dKhJLjFVFguF2e+8bJ7haWmuwOZ0T9RNA9bTNr00oDkKuex0aLnh0dcQ8AZtNgkwhPh0mI6czOl+6DhP6zg4TioxeU2Z13WcEtPn7H/tuc3y4MqgQEmzlKlMtpBltCCfRdJrkQkcth6p1KyCsov0SkUkr7GKznqVLcoVWAoYAvZos0fAIiFP0aFCeKi/GsV2l4BbtOkS0CJklQ5twqnV5LVxoWNfEhItm2oxCxKUCqssMeiofVs+Kjl3GjorKHJO7yHqpgFX4zWizGXBjIkyl6ujNbpJ2Tddi2uygFdZI8KlyZgEl+usMSr9DuycTkt2Md+jYLZZ3pT8lWXsJeqn6aiA/iyy97Pzp7TSkt6L/F/2LLIdOpZVljSgnzFR5ez9rLdk21mmtG19AdPztFxxvVR0MoYVkCuzVrFfIWCbNRq4XGJMA5d3WAOCA4/M/vIEmoA3WSPFZYExKS63WSMhODSpeVaGoeznMipLzNH9dlIY8Dgldy8098DmdGpaT9vUnJgkM1zLlhiMfRwvxXVSPtK8XX5N1qZKTExMH6gQEwA7tDnP1rva/keRMsqVj6aTKhYJK5Vdl1Du6WjYqsxbK2uTVk5lCmeWApm1r+Nw9phUPNbzOMoTlPEuuy2VQ8p0vRLis8pGHqsCi0yUmu2jddpUMfRp0cGnScQyI3Zos1DwiFUWDnCbNm1ifGJSoEnMCLhLmytsTc3zsp6W9rDtM4Vi3/aZzVaUnru9v0zBl9ce9a7LPn5q67pXeqQVmGYKR/w045XBGycRCLJeOIwDHxX01dCMFBa2fNnKAbPuL8tqRtX7+r9u55iAm7QZEXCOkCe9Dq1qCHXoEeA6KdfCZapuTDMIGePy0ugczzW2cyhRdWqPgDpjesV98tXTY6KDWS2zn3FOJyOtbI6zcI9SLvp4mSIrg/G00rNC6qTvdNaK+mXtK6tXwnuyHsljkhePyuQru6e9Tk4mLvNerfKyae9Vch7o02ZMQETIk3RoFuLfBd6gTocmS8RUnJAQl5tpmzWcA8jQtjGHAgPajAmL+/iAIWZf8JSEQVN1LFDH9bPKRX5lDE5/CLQMktaen4zPlU2iv1e6bwVmjLkM/CBwntwQ/GSWZX/juOsetJCyFo9026VM9Uv+67RYbWHaeRT2pesXZ9OHpWUn67QDRgZs9Sx2ad25opw8D5M0XPuM8uN3iLbZ/2WrU8uUXvnLCLjBGkvErDJmVPO4Wl3jiYV99vwqb6aL3I3qnG8MqHhJniqVwnI6Yp02z1eVR5WACTK+Eq2yhQNEtOkBGXXCg4CzfZb3elTsXnlKQn5lkJylo3hPw4yaH8qUloYptYV/lBKbpSi0QTUrbpUwzRfaUESdt/eU/CLLz4r3yFU7fHWNlB+2DsuTi+QQoSGgwxqPEbPMGBePDmss+vvsRlV6BNw0a7QJqfpjCKCSJoxTl55bIagBA2AEWdFwj4y3WCXBoU3E+YKnWoRTz69XB5HQqPWAHKa/wmy3G0y/Q1tHWR/Jc3pVD1tvSs7fNhvyq2EpqRj4L7Ms+yVjTAv4vDHmJ7Mse3nWBaf9/Pm90CzXX3tb+jgl56BcKJRZXvZ4CoyZDG5rBUnIQP7k4Kiq41Vxzt6/KsrKzzIc9fwyjiAVmMTvK8BmAU00/Rh8qDVjNvw6/2D0Io9VewT1mDu9JiPjEwQ7uEHGKPJ4dmGHXhow5VQl0PUCOk6FMQE1xgxweIc1Arqc4xaB6KtZCQbvMTo1T1maFfPSNOucFvQw7dlrL/64dkihPktZle1rhSvHt86clOU0L8s2aI9JG7BliIyMXWljUBqWVQ7Lmjq5AlgkhwcXiFkhpg24CzHv1Or8g/RFHnN6LCZ5rt87yQKBk7BYGTNOXFJMjnxYV24AJoFuGBAPK2QELDMmw+E11lily4vcOtQvth8i0VaYVjLaGA/UflkMTdJRiR8yVmahybOg+1ZgWZbdBm4X211jzCvAY8BMZnOYpIg+KJJB2DIM2lXlpHKxmUia+aTLLd1iaclEorwtY+u17bEKzN4bpt17rZDkfex2g0k/+uRWnvbApNcloRWX6a/ztoA1ckarAHtuQLs1hnZ+oFf1+eL4HHHVYeXxIbvjCoO7PvtxlR1T5SMrt3lfZQfXZNQIYYVcI42Aes68qytDlsyIdzpNUnyWCKkyZoXwoN0j9W7eq3QvPGWXkoLp+MIsL+yksJ72qOy1ZcqozFOSZeVq8Kelsgw/275ZXlNZHdpL0teVeXLyWFnsSyItlqerTPhqAbhFwHnGLHnAOegt+HwxOUfsO6wsD9ntV3hnfwEvyXjZWeV91V1W6kPW3A6L2WjiMu4BI1jvt1mtDVlKRtyJmgwGPguELDCmRsieaL/MNLQToK0MKFMkEiK0sk56S7rP5fsomxwtKWEamjzKuz4JnWkMzBjzJPBh4DMl574X+F44bFE9CJLKSsOEZTPby6ABjaPLdFcdyNWWq1RE9llt5lGZApOWkJxfAoc9MKt0JLPYCY/Ss5JKK2C6vRJ6aQDL5HrHdaC5EjJa8qgtxuDBnaRJ5Hqsrg4YLnhc31zEaWV0BgG4Ga+yzB5VHJPx9NIuveolmkHI5dUOrXHI3aTOIA0Yxj71OOIbBrvERLxNhRUmy+H0i+c6K+vsUaCT8pTMdoPDQkQjCFrIzxJIdl8LmVkp42X1SdKrOMxSpKdZrUF77rq9cqxrKF1eo7/KbPelISwn8+qsQomGyGMN4DwhdTy4FMNjcCdrEiUeq60Bw8Dj+niRuO5wu1enXRsTNGLGTZc7ToOnq7v0vEs0vZDLax1a/ZC7d+sMOgHDkU99GPH0eJdqEnGHytS7lqhL2dqHtv8s2WeTK3WMSvqzTOmUKS9XlA/JUVAZy7tfOjMFZoxpAv8c+GNZlnX0+SzLPgl8EqBiTPagrWwpwPW2ZGQdC3M5nJEjLY6TQIjAFCzmimMaipDwhmWOozwwGbey11hG0Zj+UYpbDvJW8XPreaHLix2uNtagDtVKzG6vil+Paa+MWY/abGU1WkshHa/CzU6b9c0FFioDlhbGfP7meVaWBzTchLVwwK+6dJ07Wy08L6Xlh4SZyxveMo8NOizFCfus0iEgJqROh0Uxh+W9TqfhqZox2awPFcp9+97LMtG0YJmlQGYZdPLcUbFMaX0fJweOOl8G3c8y1GCChuj4sKxPe1k6Hm23NXSvFZg1KlvF9nN0eL29hlmEajNmd1DFr8W0F8asd9ps+TVatYKn+m3W9xZYiAcstcZ8PjzPSmNAI0pY8wf8qivXuRO38Joprd2QMHJ5I1jm0rCDIeEdVtkhICXkHB0aBU9ZdEjLOPnerbKxCkfDgVp5lcGGZWNQxtVs+bOgM1FgxhifnNF+KMuyf3FceWvVPEiSyQ1WadjBLTHggGllUMaM2oq1L7EMPx8VvzETCNEOevkJB5jEnPQgaTDNRDakJBVmq9i2mU5tppWsVpJSecK0p9YCasvkblgVWpdCXljcZN1vs0+FVnvMuXqfnVqN6zfa1FYjBpHP7c0myytD9oYV3uou0q8OCaopgzDg6y5vcLvX5Ae/8nU82dpnY69JOxtzKehi/IzX3BXOx/s4pCwyZhuP26yRsYn/nk/jOD1P5Vmd02PXCqxZiixkAimVzXOSqzaUCZyyui1ZfoOjlaptq75WHz+Jl5eUlJOGoBTWGv6HyTPqa8qSqjSsX2ciS2y4qsFEiQWVkOD8JuuLbfYbFVqVMeeW+uyENa7TpnY+YjD2ub3bZHl5yN64wlu9RfrukKBR8NQTG9weNPnB61/Hkyv7bGw0aXtjLlW6mDjjK+MVLqf7VElZYUwHjxus8TibuAVUryFR3XcywaKsjy3Ngg11X0svbiTKnxWdRRaiAf4u8EqWZX/1RNfw7kGIFlaR7r7MwLFlZKxK1gGHX7i81g4Ia4kGTC/ZIi0+2wYJaWgvzipGqcCsIJDl5fNo5VQGG8o6tdVctX8Ex7UuhDy/vAX1YuLy3ho0YOd6heFWi37k47YSxo5H5Lhsdxrs9uvUmjHtZkjgJFxZ3uPlm+c5/74+z13a4s3dRT7du8L5uEeawpNsAzFj8nlhFeAObVbe4/PC7oWnLOnYRRlEJ49JoeIfUxYOjx09lmF6LCfinOUZaWj5oqwmeW97z1kCFVGujKQC0vXpZ5b8KL01nSBi5YZUXpYfXYTyqgPL0Dof8vz7tuDJfGL/1b01Gl7EL3Qu8fbuAjuDOmHg0HMCIuOy3W+wO6pTa8S0GyHBdsKVpT1e3jnP+eU+z13e4s3OIp9OrnDe9Eg9eC7ZZjmJi/eZ/9+gzRNsUWHaE9J9aRfsLTMfLaxot8smNUtjQNYtocuzVF5wNh7YtwD/MfAlY8wXimN/OsuyHzvqopPi2/dKZXDhcWXsgD6qbfcbdCxrAxyGVaRnpyFEOKw8tQKbBSHq7wZZOGQK77DR5+X8eKsa8sTaPj9+/Rm8Vsp+32evVyNzDb2uh+9lhKlDHBvCzGV1ZcDt7Ra9nk81SBi5PqYKcc2l3gjZzmqMA5dfiJ5ghS51hlTp0SLH8B+0cfM1QPfEU5b0mJ81N1EKnVDsy/Fmy80a91LBaDhdxl50ffK/ft+niX8dR7ouqZikwaqVE0x7pdJolElfktfqTJSYheVrFfLJECvF/wvkyqwV8kKwyeffvkAnCdgc1OjFAbiGd24vUA8iQhzi0BDisnpuwO1Oi97Ap9pMGPk+xoXYc6k7IdvUGHsun/Kf4Imsy8og56kKEQMqB+2XMKLtn5RJnEvDfNo7LUvSsf1T1vchk6SNs1ZecDZZiD/HZCWbr1qSA7SM0bR3BdMvpQz3RZSzTC4D6dpz0wpGHpf31XWXXV92Xv4/znI8lGZrNZzlwnqe/v7qrRWu7S/x8s0V3um16YxrJI7LIPbZ3w5IY4eVpRHVasz2Xo0oht7Ap9EasNup8ezFHUwl4+U7K1zbXyGJM8aJx4Iz5rbTIkhD6oy5yTKGDrX54lJnxlNSEUk4sWy8SMgoEdfIBCLUdpklrsuUlbNjXcKTusxRHpIsI+8hjTjdBruveV8ndehsQnvcJmBpBabhRss+VXJYn5ViYy3/dYOAVzdXuPbOErtxhc++dpHNfp2s6tDbCugOA6LYxatkVFsx29s1ohH0RgVPDWo8e2kHU8t4+eYK1zorJFnBU+6Y26ZFMwlpFzy1SIc6I1ymkzG0py77UMtAHb8qIy27rPKyoZQHobzgIa3EIVN+HxTJQXrUvY6z9CRUUpY9Y1+6z7SVMuuFz1JUZe2UZcuUpn7GsuC4rnMWNDJFAXSTgM++c4lrO0vsxwE/98rj7A4anLvU4+JjPXb3a2AMrdaIYeiy36kwCj1cN2P9Vpt4zVDxEoaZz6ULXf7Rv3+RdAjtLMT3YqomIXXgZtrmCrsYXDZY4CIbD9w7fy+RFbB6zOk+npUAMmIa9tPXlikxqZQknCipzFDU8Vldp6TjBGIZ7G+Pa4QCJnErneQhlZaut8w4lCn0brPYqOe/bjvgs1uXuDZcYt8N+Oyrj/HK+gqXLnW5dKnHbq9GNnBZXIzodALC0GE0dnOeuil4KvV55rFdfvgXn2cUefhOSuKBYzJMmnE9afMBZxcvdbnDAt+ieMq+n4Rpg0X3s5RhfsnxWQZ3IsqdZLLycbDwUfRQFFjGu5MqbQeZ/QS59ZJkh1kXWsIatsPtyhvWAtEpqDLeJa9N1DZMY8iI47661m7bdst2yMF13OCx97THyyASe8yUBAlf3V3hc7cvsr7XJsKQGoPjpmxsNcgcQ7Ue4ezW2N1tYLyEcexgTMZ47BFFLkkCH/rgFmuP9fm5V67QbI1oBRHJnssIl2oUkfkGE2eEBCwQ4RAdZEzN6d6oDOqzY+yo1Jgyo0Enaczybo5SYva8LaNjJTDNI/Z/2Vg/DbRo55xpxQXT/CCzgqUXZuepasWlY+k29lWEuWgAKw7TrlgDWIFXwxU+d+ci64M2kWcYZy7VesLd3SZUDdV6grOXsblZJ0kMSeLgOBDHGfudCmFoeP+zO6yeG/DSO+dJK4bVhSHuKGNsXMZjl0qS4JHRMwFNItpELBPS5bDMcJlkSqdMv7Myg0cmuUhYWXrTVo7ZeNpxdD/KCx7iWojvdgxMw3eSWTS0YDtVWmOSNGPC9LWaaTR8KQPfkkqhvZI2y4QMmUavE0tk2nBAbmWWtsFyYLHUdbcW8NLuOTajOksXhtzebhE5Lv3YJx75jG9WGY9ddnYCgiAmGXkMhx5h6GIMBEFCf1Dh2voSX/+Nd9juVxhFLm4Clxe67CcVdsZVKm7CN3OLGhHbVBlgcAnw5lmI90Rl0J7d1kqsTEHI8SivkUaZVAxHIRs6zuKK47MSS2wbtJFV5sWVKWp7XaD2y/hMXyd/OhVfKjuZqGH5sMVkxY0WTJSW9L4WA166e47NsM7S4pDb/Rb74yqJZ+juV0hu+ySJw+5ujTSFLDOEoSFNIUkcgiAhjALubDbJPPjSG6sMI5eK43J5qcsg8+klPhtRnd9Uu0Y9jLibVHExDAhIiuWl7DuVafX2GeXYsAsdlBkwZeEUjVSdRDHdr/KCh6TALKb8IEm6/kfNh9Lp9nK1ACvgZco5TKwMW5dcTcO+yIaoyzKUTNe3+xJnT8VxWa9cpgamn8uudm1T7XV6v35uncRhrLW4CN16wHrW5qVb5+g1AnqZT3/gszOqstur0enUSRKPODa4bkYYOrRaMZ2OQxi6JInB83KGS1OP27cb/PJLj/Hh52/R8yvEu4Z0DLVaxFa3zTPeLonjMEx9PFIqxPwy76NJlxYDluhQnSuzeyKtxGBiOZdZ4pbKlJn1Uqwis8JPJ3vIe9u65DkNXUl+kv8lP0jek8ZX2TNIpaqNR9kuvSKInFxdFkez9Vpek5mHUgb4QCBjCj50KwHr4zYv3ThHzwvoxQVPDapsdip0OnV8H3Z3A4ZDn37fZW1tTL/vEIYeSWLw/ZQkcRgODTdvtHjj+hL1pYgLSwOSXUMage8njKngOwmJ49A3Pi4pDWL+He+jRZc6A1oFT1nDwBq+8n3olTgkleUHSM/Ljg8Za9PjS3vr9xMfe6RjYNK7kunyOkVdCngJ9cmAplZgMK0cJNkYmFSeiLIy26tMkUsmSZmet6YtQbst59zMgkisN2acfEFQI0503YCr/TVqKzFuNcNrpLz+S8uEscsodtnbqzIc+ngehKFDkkCawt5ewGDgkSTgOGAMZFne2jg23LixyGK7jxnCpWYfx8lYYchiPOLxbgd/kNEIIxqMeYkWDinjYuX6W6xxic25EjshaYVV5nlUmaTOl8WhYHZq+az7yets2VnXS6teKzHbHjl9Rd9D8nRZPfK8vq8my9e+usZmF0rlZRHBFpN+lManfa4kLerx849NXu2vUWvGuJUMj5TXby8T4jLKXDqdOqNRQBSlBQ85OE7G3p7PaOQe8FSaOkCG46RkxuH1t5dZXRwybAx4ot3DGWesOX0aYUjQT/DjlIYbscKYawVPDQjwGPNWMS/MEUu46TCKVESyD2fF4y1pr67Myy47dj9o3CMfA9NL18iYFeRus1VaTsn5WSQx47LyEhu2JF+WZtQyZtX1zXrR2oI9LXUJ+NTmFboLFSqVmGvDRb701jnqrZAbb6ziuBlh6OO6CeNxhTRNGY8d0hTG40mr0jT/2aeq1RL29qqMowpPXNjB6SW8dnOFD9a3+HVPvEV203Cp38NE8EvZEg1i2iT0CWgSF0vPtFl8j88LOwnZuZXWopXIgSQrfKVwkha4hpgtaUiwbCyWZSRKZSb/y7GqhZr8qoPkC8tvkm9gGtKz95uVmm/Pp0y3DaYVo0XUYTrBA6YX27b3tB/mdIqGduOAT42v0G1XqLgx17YW+dLuOeq1kBs3V3GCjDh2MCYlTR2yzCEMnQI+FO0uHj5JcrO/VsvY2mpz/vyYc5eGpGHGG7eWqVY3uLLW4Xy9x7N7e5gIXhsu4RFjSNgnYK2Ya3mXNqsFT0lvVhsFko56X9Irl3PFdP+X0f1mHD+y3wOzL0bi+JJZJWPM6lyJ3Z9EqWn896hrtAt+lELXTKzhkpN6s2XWTjcLuBqt0aVCNYi4tr/MTdoMIpdeGOB5MYvLY7Z36kSRf6C00hN0yHDosrNj+MpXVuivOjxe7/G+Szt8fesuS/GYl2+uUnETVitD4pFPgxAHl2bxlbCAmCGVBw43PwpkUY2yMV6mxGZlJ1qSRp+lWZ6ZFHzSoJPelk2k0nGVWSRRD6lQZ80RrIjzOhW8jCTiIr8KLZVgsbLa1BqJGpa3yqxVbJtKwVPpGl2vQrUZca27zM2szSBx6SUBXhCzuDJmMKrS6znEsct4nKMax9Fw6JFlhtdfX6ZeH3G+1eOx813OeQOe87d5550Ftus1Vhky3vWppSH7uFQLCVMjZovKFJwqbytXnS+LeWmyZUNmJwkdlYEKJxsPs+iheWBnEcA7inRQUcMTWnnZF6EDm444pl3sWVAN3N/zyXbKNtpzMrBdhkXrQHiZMLK0nrWpmZglf8Sbo0WaCyH1NMLNUuKBS5o5DAc+jUbC1lZAvz+r1VrU5MN5NHK4datJPErxzyf8yv/LOmZgqPkxTzT3eYcFGiaiQcRdAiIMq+wAEOFRmcOHpyatZGYpMU1lgkrHgXWWmhzncv1DGb+SSkzeS3pSOv6lx6+9l1Zg2piTpOdo2WPaCKyr8zIOZj07C+frmJdLrjzrTCD59VGbWjtmqTXizbDgKafgqY5LisNw5LO0FLKzU2MwOJlBaGk0ctncrPLKK+eIrhi+8yNfYXEjZLU6JOvCO50FGllEjYgNAmIMawVPDfGoFQkdcoKxhAxhenzIbe2Vw/RXn8vKaHTpLGX/I+uBnRWdNsAoFd2DUtIa75cKzZ6X2LyFOFwB9ptCz/SygIXKmAuLPb4wOM9CMKLuh4R9l8HYB5PR7dXp930GgzL7O2EaCJguk2Wwv+8ThU2qXsS/+sKzPNfcgWrGU8EeFypdfBIWhxEOFc6zT5WICI8Uj8fYnWl1z2k2lRk2R5XR3vms2NNRSEGZhyaVp46lyPJlykaW0bEyeUzWX6bIJOQny9rkW+tRVdVPwphly7VZ5dUAjAik9whYaI650OrxhdF5Fqoj6pWQcM9lEHrgZHS7VYbD4AA2nKh/DaqV5/T1+x43bzapBiP+1Wee5bnaDrQynmrucaHRxR8m1L2INKxwkX0CIvbxGOFxmd2DZ7BGu+1HHb86SdyrrIxUZtLo1lOF7pceWhLHgxZKdsAFTA++sixE+YNJR8uUdEnSSpTXpUzmho1n3EuuaygTSGQ2jrxOwybyOeyzWYazbZBBaVvOtWakP12wmYSM6h40oUbIm50F+l5AGPvUagm9Xo0wdOh2fYyxPat7o4wm9niWQX8Q8PK1VYYjj0vv6/MLO49xK2rxsdYNnq9v8Xy2xZWdgJ+iTYcKdUKeYJf63AO7LyqLZ8Hs5A1Ls4SLTMOeFeeVpGPPZQkWszw/WecsSLOsrZo/5X/NdzILWcKQEr6UbbGjX/O1pGYzZOR64EMtLXgqCAgTn1ojordbIQw99vbqJIlNfJK166fRvZE/eb/vcfWVVYYDj0vP9fmFG49xy7T4mHeD5xe2eL6zxYe2Al6izSYVPEKeZhe/mGup0ZxZymsW2WWidLKH3dbX6yXN7D2+5pI4DPcfvDuOylLI5YC0SkMPcEvujOMwrWh0LEpmNul7lS3mq9uVqOtkHG7Km+JwlmUqjk8pr1k38uFytcNnnUvc7LS4cKFPGHrcjF1eeGqDn/6ZDzAYVEhTg+Pcy8pGchgb4sRlt1tlZ1ClOwh4a3uBNiOec7dpJSFNQp5ha66yzpBmCX2tROR5+dbKhItUPNYrk/WVCcQyhSTbKJWYhrLKFKvkE6lIdexM87z1vKTHJWNhmqct61hZIWWJvY+RsYRFuNzq8FnvEjcHLS5c7BNS8NRzG/z0568wGFRJ01z0GuOSnerjUtOqIUk8tnZq3Ok0aIwi3tpZoN0Y8VywTSsIWSTk/WxxDugyWU7K9ldZnP8ohSJhwzEnS8bTsVidEPI1FwMznI37eBRJme2I/7OUmfZ0pHKDaYaTlqQMiFvvJ2WyBI+0cLT1WbYNh+8pYQtbn1aQUi/JycuuBO3lB4yK4y0/pF0bs1+vkFYdnrm4y7DvcWfYYmurwnjsMBp5RJE5UZB5mg4Pzzj0eOmd8zy/sMnjfpe7/QZXszVeCDdJi/kpp2HnOeVk48plxpZOApIkjSBpONg3J2NVs7yrMjoqkUIfL/OgtFdWJlxtHdq7Ok5ZOkzgQ4tcSF6WY9B6jpbPyqbGHBwovubQqoe0vTH7jQppxeGZlV2GHY87wwZbW03GY4/RyCcMIY7vZbTLHsyIYo8vvnmeF9c2eHJxn7ujBlfHa7zgb9IkPHh/UuG7THtOOitV3kmTjZcd5T3Jftdj4Cz5+5GPgZVBFpLKlEUZzi7nSZTVPateOcdCTuK016OOyQwyCStq0kFRnWAyddJhumJlqvaigIpJGKYOxBCYhL09H8hIU1Ok8J4NDSKXO7sN4r5hEPjEY8Ob2SJvjxY4zwZ9OvOVOO6BbOZ1GTR4XBxXjnM7TKRlLsvJbemVyDFXdr8yIZaInzYgy64rU4YJ00pF8qQ0Mu22jHFJYW2RDTm3S95Dou+W6uRZh/hMVt4oKu8lARU/YYgDxeo0e3sVzoanptVMGHrsdqp8YXSeaMEldgxveou8HS3wIXeDZtLBLYxD+66kxypFg0xuK/OUEibf9irzvnT8X88vm/U090oPLQvxfmZfn4RS8ZNBSm1h2Bdn54PJDpeLVkplYre1VauVlB4EWixLy0df7zOt+CxpN1y3RVpFIRCk4FqMp0Qbd9OAO0mTqOsw8ny+cnuJUdPlK6+u4HkZrpsBGVF0FsCvIQ4NcQC9yOd22iRIYt5Il3jS7BNnLm8Xk5fnsa/TkZ1bOcsiPsorsSTjq2UGWxkiIK/VMbHjkj5sOfspF1vPLMsdpj2FWbCfrEfGi6Xy0klPGpqU9RQrrB06bmzlsuIWdJ2AO4OCp2o+X3lziVHg8pU3LE/lyiuKzsIXMYShQ+BAL/W57TYJ/Jg33CWezPaJApdrwzUaxUct7fPK73Np2Fg+o846lR/r1aSPnUR53S890hBiGdwm8XHEtj4G09acfNES05WDX3tv+ry1MhNmt0XGyuQzoJ5DQodwTH+WPVDxfz1us1ob8JneY7QaIYGfEDqGja0alQoMBk4xWfleldc0a6S4RGlGxRsxSnyW/THDyGfg+7THMU2gQ5vl+eTlU5M0Xo4LyB+FBkvD7KgYmKay+BSUKzGtQOR1Zcf1vk6wsmUqTPOd5EWdVGWvkavQS9IxMnuNXX4pS4tv3shlcVxYT9qs+gM+M3iMVhoSeAlhZtjYrlGppQwGMB7LJ7p/GkcejcaIUeaz3BwzDH0GkU+tGlMf5h+1fJytKSPHQoGyLyxJmWbHg/7gpUzQOY4elLx/pLMQpbDXgV2rSLSSg8kLkYNaM6U8L5dxslmI1uqTg1/H1LQSQrTHnp/F1BKvt/fSbZxK4NAYSyEFeklAaFyeXdqhW60wHnp0+1UuXBjR7TYLuIP7IG3bGWpBQpw6RGlG7BiGrkfdiaiMoUXMzvyjlvdMes7XLG9LnpdU1u8aYtTeHBy+hx6LZZAU6pxEtmXWohSQ2ojTPJtSjljodkhI0S50bctZp8rChj4TQS+/BWYOsqSYWky1Nw4IPZdn13boViqMBx7dqMqFtT7dUf0MeEqTwa+kpJlDlJqcpzyPei2CFBaIuXPwhOX9I0kreKvoIibLkOm65OMc9bmVMrofNf6gHaGHRsd13kk690zHmCD9wsqC2Hq7LAFkludoyzswreV8sV9wbjMI2TNVFqtjnljqcGV1n1otYnFxzO6unPt1VpBehmMS0swhcFIGccDjlQ6r7hCAUTHRck73RieBdizJsWPHi4R8ZsVZZ9Vh98vGqkZCJGnjUgpFO9m27N5lykmWL3sGHSNDXAvTiKB+LnkfByYzmGVaow9NL2Qvq7LYHPPEhQ5XLu9Ta0QsLo7Y3a2UzKe8X8qoBiExGYFX8FSrw2ptCAEM8GgXyRzS69LPbt9TGURcdp0kaXDLY0dR2Vg4LT0UDywFBg/4HtqS1PGtssCzXEbFQgX2mJywJ2euSzzZHhuRP1+fw0yrs32sNaeZzme6LTDNVNISshmPtg1TGYpjMGUpaMWCc5e9Dl+Mz9PtBbQWQzqdgN7Qp9NxCR+IHjGMI59KdcRyZUDDCWlXQ85nPcy+h4fHFXYP1qGb0+lJe2FQjiCUkVQ8et5OWUws5HCd2mOT/8ssZllGe3raU5MrPsg2yE8faZSiLHNQemC2TXI5Ka1UJRJz8AxyPov1xipwebHDF7fP040CWllIZxzQG/l0uhXC8Kx8BvlGDONxQD0IWW4PaDRD2o2Q880ew9gj9D0uR7tT02zkKhyz4n8yh2DEYXmpcwnK4qZHtd5edz/0yC4lZRlQQnVl30KyZSRcEYlz2o1G7MP0AJAMpj+AKVe4l3CJL87rATAuaaO2iuTPtmEmJi2DbwW1nJCPt9/h09EVtjs1tvZrvHFriRubrVm13Bd5XoJfSVhtDGl4Ed+++DYvuFskHYeaG/JcsjtfPuo+SXsax9GssieBIiV8LkkOs1kp8XLsl91XntfC095DhgMkwADToIOt18oFO2nZXqcTOyxJ3pIKzcgbKRikVQ/5eP0dPt3PearTDbh5t8mtO02KqNkZ0ESBeV6G46WsLg9oVCO+/em3eSEreKoW8rS3SxiF7DGBQ3VymH3WMvkiv6pcZshI2XgcPGnrsNfdLz20NPoHnYVomTgR23peFpTDCYhjZW6xHNA6hjVr0qPL9Ex/V5yX6RGROF4RdbpMMHn7vTxHbMsFb63FaSpMwxtlpqgLl1Z7fMdzr/P59AI/evsZ9ocVksQljs8eYfb9lMBL2B3VcDwIHYdGEHG50qHlhLydHMbZ5/TgaJb1DYfH/lHxNDkXUkN+UnGU1WGz3WTsC6bHQRk0Zc0cyWdWMDeY/s5fmTdn67JyQtYhY+Ty+2EHHCEzRaSWLP5fWunxHU+8zqus8Nmti9zcah58M+/sKG+tMRmel7LfrxIkGeHYodGOuOx3aJkQ3obt4eQq+w5GTJSTNKphYlDrlTbKlE6Z8pL7Us+fBmI8CZ2JAjPG/D3gO4CNLMtePK78u7WYr5zzIBXLSalsLowkmQRiy9vfkIAd2kBAQEibDvViEc2yl2iPl8W35IctpXKz5+x6bLZNgS0kv7pXllJltWgLWsshd240ePxih6vbqwwGgUrzPZu1U4ZDnyzJeKzdZ7Xe51/ffj/t5TGdcYUXzCYU81Xe63RantLf2LNjV0NypyV9TVk9WlnpxItZ97V1SQFqPQQ9ZSUBDAFD2hgCqoTU6QDhFDwp0+RtO2w/1Itysm6dhCKRDGncpkyWbgsk/1i2kPGERv4grWYII6j5Eb6TMRx5hNFZju68tVGULzZQ9yMW6gP+9bX3035iTCep8EJ3k1YR/9LelX1OLY+k8rIrd8hrZD0aKymL50v5eJynf1o6q978AeA3nrSwjYG9G7/xjO2++tnzffKXZv/LukaqfF/Va8/vEnCLNfq4xIwZ4nKXNboEB4NC/uyaYmN1XLv6cvvYSYGzXEoNexQ4fjcK+Nz1i+AZxqFHGDqE4VlaixMahy67wyq9cYXdMOCH7r7I7ajJq+nKA7nf1yj9AKfgKU2zYLTTkBTw2uAsQzFg2oPSiRtWQZWRrUPGaabrDeizRoKLYUyCy4g1MoIpQEGjHtaDkvfR5bTXKPdtKMA+y1RFDtP4msTSHOiOAz779kX6Y58w8QhDV6y8cRb+x8SoHA49BuOAnUGD3UHAD736Ird7TV7t5jylPzSpQJgDss9rZVIZzCiNCt2fsn5pKx+FuN0PGncmHliWZT9rjHnyxOU5u5y2o6gskF0tOWeZTg5aSy6HB7J8eWUT/bZpkxCTFB9ldIhxiuMuW4diYHrysxxc0muUMGFf7PtMwy31SHxtuawj9Ajz4dWdFYahz/ZOjeHYx/MckcRxP97XYV87w2EUGq53FrlAlwEVRk2Xl7JzfDPbBPMY2Kl5SpOE4WTyTxnMcxSMCIfhNz3No6xeSdJukvaT5CV9vRbzMW1cYjLiYtWRuLhvmypbM+FPGSOTazbKtunpLZasXCjj8wNXUccURIe8ur3CRq9BJ6kSJw6eD+GBcDkLBTb9JFEEt3Za+M2UQVhhFLm81D/Hc9k2juApbXxoZZ1/SPZwzH8WhCj7Touao8bF11QMzBjzvcD32pu+GzEwOb5kmnBZNo2EHPRg1YkSclvXmQIhATA+qBcgIyakckg5yoxGGa+zlqN16XXyh1S6R2b/aD6RGlJgq1fvrFGrxKzfXKBaTfC84wDUk1JZywxhHDA0Y3apcinosjOuczHpcoM2T84nMZ+IJE9Ja7eMNFQt+a8sa1FeI22hsmSNMipTlNLrkXVJ5aot9km7g8Lzyskj/zijLz7OWKYENYwolbROOLDl5fPafpW8maTFeSn59cP4cPXGGq6fMeq74GT4vvjU8gOg0biC8SN2x1Uu+V12hnUupl3Wx/kXmDXUa3WwREHlf92v8ltvsxSZfLe2v8pk/VmFkN41BZZl2SeBTwJUjcnuBdI4DRWhnanQT4NpjBxxTq4ULzMG7aDX7nQiyshPmYRAh5A+HhkxXnGvDI8WIQtMGDUo2mjrsXwgV6apiO02EyEgn01+/hzA1Jl+cFuoxTS24kPXBKyP2/zS3fP0A5+Lj3Xo3ahjzFkxm/zM4YSSDIahR+q4fPPiDfayCr/Cu8GNOJjHwE5IkqcaJS9MemFlXkaZYDmNyWKFUxnSoecSSWVoUQeYWPwSibDlpQBNCHHxcIhxyfnCLz54aj3MsoSqsgQOzbOJOpeWlLPHLY/XJORhg9GFYOlGAes7bX7pxnnqKzG+l7KyPKQ3kFx6r1HJ2RQnDiNcdtI63/z4DfbGFX5FdoPuOKAp2g8Tr1yurGE9MIkGIfahXHnpd2WPaY/tNGn2J6WHkoXoMAmoPigKmFZYNqfBHitTYFWmRa2E7AZMDzm7bRWRpRFg6HCdtSKoHJOJjzPagQST5AuXaevGtq+IBR8oqxazFZipiIqlAquKC6wCK7j61rjJpzeukDYNjpOxN6gydlyMAd8H1+WMVwyYUIYhJaPphXSp4QYpo5rHue6I9oO55SNPWmBoaNBVZa0A08pmVjq5rkMqLwkHSppljMikPTt0pTCVz+MCLTokrBVtiPHwcPFYKj54anVIWRxMK28di9MJL7qNcuHfA2RknK8zemBhjoA63Oo2+fTWFdJzBifL6PQrbA5qeG5GlmU4DsUHLM9egdlVZpuVkG5Uw3VSRl0Ph9HU9CDUnWWf21bpdWChPOEDZntZsoweF2eFwD00BfZufA9M/+SCnrM8MBmstZMj7QCXUF4qyspnyesIcdnkBm1SKlQJabPLUgEuSu+tLrYTcY+yALhlIIlbH1xjJ40BxlqH8uIRE86NoBsH/PidZ9hPKjhRhldLGQ08+rHPzk6A46Q4zoNSYBkVLyKLHc7Xuzzd3iUN4WVnlV/DGw/cuHlUyb7qsgiiHDsaGkxUOXtO1os6PitmdZq22vtJUEC2QSoal5CYTca0MVQwhLTYxS0ye+V1Fs2w7dUxGp0ab6+x/Ga3Ndoul6eDPJ4VOOTWrQvdfsCPj59h36vgmAwvS9noBISxy+ZenSwzuG6+Gv30058FZVQqBU+1uzy9tEvag5dHq3yMNw76oizkYPtFpstLRIgjrrHnZpEO2VjSOQj3SmeVRv+PgE8Aq8aYG8B/m2XZ351ZnnvLijoN2UEoUbQK0wotEeesBSeHlPXAJJ47zVSHM7z8g3IhHltT1p+05CxUaJWf1Dk6A2sWyfiZFESBPTBiwrEOU6Px1e4K7wzanAsGZI7BJaMz9OmFPq3WiDR1aTYT+v0HsyJHFLu0gjGrlSFrbp9akvCCs8UOVRbonf0Nv8boXnjKUjlom5MOtOu094TZXpP21MqUmBT4x2bKKrIKQsNX9liNkAZbU2uU2mEtYUQ9rxImvFyWkSiRFmk46ri5LS/7JxuDKTywV8MV3jFtzi0PcmXlZNzebxL50GqFDEOfZtMwGARnvpgvGKLIpVUds9oYslbrUwsTXvC22A2rNAVPlcGDGgqWLTuN15Wo/5KcknL32wNnlYX4H56m/LulwOxAtwNSf0pcHpODU1uodhBL5SLL2zpgYtnJT49ba856fjrWpQeTnPdl26GtZ3tc/p9J8sLiIa71l1j1h4TGZXPUoNqMeWqtw2v7y6ROSquV0mjEhKFLGNrFeu6VtEg1VIOUJ5a6LNeG3By1eDLrsJtWyXB46j7u9KjQaXnKkh0LcnkySbMUlIbUdJmyRFa5Lcf/aYSShAllYoH0pqRxpo1GmQpv+UnWrWNwso32OpiGEa2Sk3Mrj4LC3KLB1ypLrNaGucfVb1Bdirm80OWN/hJBNebChR67uw5R5BVfeDhbGLFaSXniYpflxpCbey2ejDrsOlViHC5xOGHMtt/O+YLpvrats9x7nJw5SnlZ0pCzvee90iP9QcujOlJnYWnLr6xTD7KQSs4fNRRP6iLLQaXr1C58Kn56TUZ/LCxyyXky6h7Bqhnwhf55vHpGOjLs9wIGA58rH9jDC0LG4wa3bgWc3fI3ORlS4sQQpy7jxGM/czBZhy1qZFToE9Cap9LfF0mjR48r7YVJsophFu9IuE9mksvzstysbDXtBc4yzqS3JZMrtDcoV9yQSInsA63MpOINxbZsSyrqsPs22eGgHstbGaw6A74wPo/nZaSxYb8f0O0GXFnbp9JOeOaZmJ/8yQvMliT3RsZAHBvixGU89tgfORi3w5apEVJhn4CMcCp5JlHbMrnMrnFpjzWY/RFLOF55HSUbj1ok+Dh6aAlf7rvw04HcMu+pzEOTWLdTUq/07AL1/7hfIOqQ93DEMSl8TuplHRo4enKZjJJH8Iy/S5S6tLIQ4oy3dhaJIpdnLu3Rqkbs7nrs7Rmq1YRqFe5v5p5qnTGkWcZmN892fKa+S5WY7bDOY+yzTntKQX+1/b6WqAyOPonYPOr8LKhJnpMKRv5km2xMWn//zuXwymcu04u/H/eBSomOwGFFJMv75Bm+8pz0SDUfSu8wEK7EM+wShW6+fFOY8dZWwVPn9mgFEVsbdba387ULm82zTqnPcp7aqWPcjGcWdqm6MdumzpPsc6fgKdkHcgEGTXacSwPAyjAZq9Q/S9qQkSTF0v2G2B9pD6ws7V3vy07UL0G/KHntcRBLGek6NIyaqOPazZfxAMvsZfWnFFahdM/ylMgDd/O5yjadrMJeVGEvqXC53WWhOuap5/fYCOr0ohabm1WCABwH7g9ClLZ4hufFNPyY5fqQQRJQ9SLqTkzNRLQYsqvmy83p5DQL/rNyVickzSJ5zVFje1YsJJ1RxsaqtGJ1Vdkyzwl1rVVwNpMyEGV8db02CKXBabN97bXW85DltRKe8i6Lmz8XbNNpVtjzKuylFS7Xuiw0xjz17B4bXp1eFpD5DvV6xHDocXbIRr4WYiOIWW4OGUQB1UZEPYqpeRHnGPI6lakEnYTJhGVJKeVwoYZ0bRm90DIc9nR1HRJhul+D8KEpsAeS3CZIKx87KMviAieFEBHnypjvuHKWjnt2y8CzgqQaUtFQUQI4KRidNimcqFYa8tHqLdpmzN1Bgwu1PheWcoa6uNpn5fGbvPEGDAYBnY7H/cEd9sYZtVpMtRLSrsS0gzFOmrLgjznv9PCzlDEejTl8eGqyXzm3SqpM6djz+k0eBTWWvXFZ/0lHhE58ku1xRRndLplIZY0aqXyqqoy+lz0mU+xlHVWmDUat1Mv6INVlC03X8kI+unCLdm3M3e0GFyp9LrQNVODiWp+VJ0dUF1rs7S2xvX0WubY5n1SrKUGQsNAMaVfHOFnBU5UevknJ8FgqykoUQX8xQz6OpbIwhh0vx8U7dchDHjsrJOOR/iKztcrK4D0NF1hIQ2Pl0tNJOZy44TLNGFIRRupaacVpi1AOBF/9l3Clhhpt3TNJ+vfKZ2+5IR+p34YWrFfb9Co+W6MGlxa6bLkpo9E5tra8+5y3IoexIcvg/GqfldqYK/4ee3frXN1dpT0MeX+4wy4eT7E7V2H3QCd5O1Zp2P61c7C0d+GKsnacaWE3y9KGw8aV5veyGJguY8e7XlhAZxi7qoz23hxxjZ7yIpfZkvVrRStlge2vQLqRhUvYckM+snAbarCetOkFPlvDBpeaXbb8OhvbDltbFZFKf6804as0dVhY6PP4SocrzYKn9lZpRyHvT3fo43Ge3QPIMCSHD2VYfFbt2gu2YkTuSzlUFguTx/W95hDiEXSv/sJRpKEPyxzWCpQKTL94CZ9oPPqoe2nwTnqV8phO/nDkmogSe1Q3ea6+TeI71JZi4otbvJMuMB64bG46uG7MYHA/5sb0EA1DFwN8/TN3GdwIuNzYZykekQGLjFikQ4VwDiHeA8nXbKlMQEglJr2PQJWRBleZNa3vbevRXos2GDV6IQ06244yT6iiysu2yPvKxA+YeGn2+aTRKkmjL466Rh535IPJhQOKC56rbZMYh9pKTHxui3fGC4zHLq++WidJUoYHnze5f8MwDCFJDF//7F0GGwGX2/ssDUdkMSyORtTpEBIyJI93dSlfFkqGKGYZxSdBlMrCM9oDOyt6pBVYWTzLkrQsZnlCx8W5zkJBysFSNmgipr+GaplKLm0lLWQLbVgFWdUZidZEte5k8fCuSXnl1grEcGG1R7RoyLKMwUAGm0+bTn/Yj0pT2N6p4Y4Tnmru8YTT4UWzQdJ3+GCyxZvcX1bSe5XsO5ZjtEw0JqqcRZnLAurSyJKKbNa4lx6KPCa3tXenyxQfNZ5SiHXRzjKkomxb3kPOv5RKTiIy9l5SMUqITKbeH3hykoesFVuf3MAdp7yyswLAhff3iBqGn/7cFQaDHIk4Sxp2XNws4amVPZ5odngx3iB5w+H5dIs75It/h8Uz6jmnFp6122XKpmzcSNLK/6hJ0GXJHvdKDw1CfDdW4pBLLfnMXkpKDmbJoJJhRuqYtAglDl/mgVmloicy23GfqmslHHlSrNjeT973IGhvuTFk+gGTfC3Eq8katVrMhxfuMlr2+PzbF7ietXGzpOQT6FYpneQNats9/yJzErvc2F7kG8+/xov+Fu5+Ri0LZ8Yo53Qy0hmAMDvAbrd1dl3Z/LEygSM9JqnoZJxNt00qAKmgLFletWSVj7x3GY9ICFImX8jsYGm7yYULLN/L+ZtSucqJ0BIROfDAGkwLFj9f5ebqaI1aPebDF+8yWvT4/K0LXKdNlkC3K9Xt/cSWc/K8mDRzuHF7kW/8wGu8GG3hfiWjFoXgTt6R/VyTHB8Wfi2DEmcZP8woL+OUlsqSPGbVeS/0yMbAdMyrqn4yG0kqIon9lrVR4/D2eonXS8wdJgNIHrPzLKriGhtUtYpUxsIkox6XFaYF04FpHDAteXxYj9vUgphaEIMLNT9mc6PGTlplHHpEkY/jpKRpWV7ScYw3PTyNyajXEiqVmL1uAGvgmoxh5vG0t3tMXXM6KWm0eJaQkGW0YtMKTCscR/ysApPCv5itcVCfhBV1fAkmvCSXWgvUeTgEHBzUq1PpZXxMLsirlac0PDW8X2Y82nsYuaxPg1wIFMGl9VGbWjOmlsT5By1NzGa3xs64yniYfxdssiYinB7ZmLwdYzIqfkKtFrLXCyAGd5Qx7Hg8He1ClL8H64HZfhwwLevKSBsi0jieZVxLA0bGyqZbPanPXnOv9EgrMDlHa5YCk56RTsaQgz1UxwMmaIFdpgom0MOIw6vUS08vEnWJ6VkHCkxCJvKeGoaZRVOZaNYVk7MTyW/SiwIWknH+eaUxMAQ/TunuVcgiqFbHxHFVVy/o5Bak56UEXsq5xQFh5PBz15/gg+e2eaGxScsJD74N+LU21+qrjXQikj1WRlrI6MzAMrLn7BiTCgUOJ1LAtMLx1bb0qmx9sj26vdKLkmiJJekt2fvKBCg4nF1HybZsY6mwt8oL8sBSMQO4Nw5YqI2hVpwbg5+ldAcVsgyq1bDgqXtJ5JiG5R0nJaikXFgueOr1J/hgY5sXvE1aWXjw/TFpROhntN53mbLRXpf2ssriZfrYUUqMkutPQ4+sAps1sdi+MAs32Iw+qbwslQV6T+KBWbIvy3pYU/g50wxcVr+NdVnGk4wp03/tdTq0BUUSR/HrmiDPjMoCmoRcrnVoZiEjPGrEB9r3fK3P1Z0EJ81YbEX0+xXKSaY4Hm9BBkHK8soQ1zE03JhnFnZoOFE+8XNOZ0oaCp8F7VkvzI4r7X1IRWD3JWnPSgt6y2c63qTrtGNbjl1bn1Rw0qCz99J16nOSX23ddcr5TsbAZL/Yexx4lYXl200D1gdtemlAMwu5HHdouiGjuOCp4gHPL/a52k9w3IzFxYh+/yijUNJR3llGtZqwtjLEdQ2NSswzzR0aWUTLD6E/6TdpOFvP04ZFrNEN0+NGGyE6NibHUqjKzIIkXe5vSQRN9+O93TMZpi2CB/GTg09mEGnG0UHqWT9bXl+nITu9DdNMoKEPXabsGXRWlSU78FKmPRcZS8qKE90kx+Wj2GUhHBPFLlf7aywmI4ahx3DgkY1g2PdoO2MuLfXBZLTqY6rVENBR57JIyWxEu1aLWVwckWWGwI3IMDy9tEcvDA7cT/ktoq/m31craWNLx660MrIkx07ZOJNj0e6XGXxweI6WvVYqH3m9Hd82jCTnZznqelk3YttCjw1xT1mPTJWXzySf9zhvzJZJmKTPd+OAq501osRlwYyJHJernTUWzYhh5DGMPbIMhpFHuzbm0mIfyGi1IqrVsardinU50o4W9bVaxOLikCw1BCYiSw1PLxY8VTTeokG2/ba/LQKqvWA4PG7K+kIrtbIy8mkk6WlA90OPdBYiTA9cqRikQpMKScMvOjCu69P3kkFkWUZbtGWZWvb+cl9af2XQi7YQYdrSNAWXrzttam5MzS1iXcTgwJ5b5YXWJut+m/2sUsSpYr7t/dfZjGo4vuHOTpN2e8DeXpXBQD+1pbLhX7THT6lUEnw/Jo2gG/v4Xswrd1dJQ8MHgy1ahA/HmnrESL4dKzzK3pgWWBKZsApACx9tbNljOrwqvRjgkBek09mlktExaBl30XFleU8d25IKTwtLX+07TNB1OMzz+hnwgRGsZ21q1ZhaFoOBWhRDAHtJlRfWNln32uyHFUyWUfdivu0brrOZ1HB8lzt3GrTbI/b2AgYDe6ejFNb02/D9JOcpJyVNoNv38YOYV66vkg4NH8y2aKXhwfqFso/kvD/reVUO3WE2NOiKbQ0xzlL6idq322X3OQ090hDirHUKdXBYl7Eda5M7pLUhrUaJ2Zd94mFWoFp+q0iu067db3u9XJ1eMqxdGUoeS4FAcmiBNfYIWKiMp6RZ1Y3ZNxVajZDn17bgAvxiepFOVCEZOnzgfTvc2F5gbW1AEBguXoy5ebPO5qZ/4u+EGQOOE9NshtSrMSbJiAYe77uwQzVN2B9V+ezgEh8Nb5HNpy+fKcmxa/ehHEq0Qs4KKDuErPCRQ0oqL8kzmqcl8CWVCkyPWamYpNKQhp6G82z7y7wryc9lBqksPyvzTpari/oCp/iESgV6JmAhHE/FBKomZj+r0HJDnq9twUrBU70KSbfgqbtLrK2NCAKPixczbt4M2N52iWbOH5nmC2MyHCehWQ2pVwqeGnm8b3mH6jhhf1Dls91LfOPgFhAe+HISRrT9ZKfo6MnJVq5E6tgs0sa3JAlf63E3yxw+KT00D+x+G34cidDPFHxR1g45sBNxvRz4+su12kvSXlTZdtl97Dk5OOwgs22XilFDj7KOqQGkZng2Tcgo8aiZ+KDQKPNouuFBZLbbD3hp7xwrTw9x0pRk7HDzdosnL++y32vQbIasr+cL8J4kAO15KY5jWFoKeeqpPeIQ/DTBr6esNUa8z93BHWbc6TT41OgKDfr0CFmlM19O6h6ozNuyRo0lfd4KF6usypKVbDlZRxkSoO8rx7xGIMo8Jx3LClVdcjKyhBYtyQSPMtjdnrPXzxKmss1yUrULJGlRr0seP3Y9aml84MKNAsFTKXSzgJdunWPlwhBnmJJEDjdvNHjyyW3299s0mx7r6z45RH8SnopxHId2a8zlix1IwHcS/FrKWjDifezg9jLu9Bv8W65QL/IPa3QISnjKZ7KuoR0DlmQWqQ5P2P6EybiTCJaVRbOgx7OC4h+aB/agFZirfmXxK1kWVUafky9Fl4fJihduQv6pcSZelJxgLGFAbenaF64HjJyTkoq6YFpoHQRohSVnWeKy0+FqtAZe7nmN8Bh6Hk87uwd5tutpmyVnxGjb43avSX0p5snVXbb36rTaI9LM49y5Hv1+izg+PHSMAd/PcBxDHIPjZDSbY9rtET4xg14VP0j5+PuvszCIqI9j+gOPtzuLPBnus8gOPTzussZTbFKfK7FTk4ZnYDLeopJz2hiy21ao2XGmU+VnxWVd9V8bkFLAacNS1ykTrOy+fT4dg5O8LpWUbbu9Xh637dPtsuQz8b4cUcYUTHvZ7XDVWYMIql7MKBQ8VTD0+k6bJXfEaOBx+0aT+kLMkxd32e7UaTW7pJnPuXMe/X6dKCqXipVKrtySBBzH0GqNWFkekiSG8chjoZ7y8fddZ6EXUR/E9Mcebw8XWWGfNXbYweM2a1xkk0oJVG+zoC1JJaXln00qk96ahmMlzAjT3p295qzk/yMfA5tFWgmVMXGZl6PPHRwT/rmbQhBNQ4UyO1CmAEuXvuz+Mh1eZ2HN8igPUQotQl7wN1lP2+wnFZom5Gl/l1YSHkR6e3HAleV9Pn3nCu5KSlBJ+LpLG3zq6pM8vbpL7Lg4SUSaxmxvV9nfrxJFTp6YEaQ4DrguLC9HDIfgOAlra326nYAbN9o0/BDPzfjKjVW+rrEBIdzqN6klEe1kVAjNGAe4SZsn2Sp7mjmdgKyQ0OPHHi+zjstgvTKPTSqGMi+nbAxqmF0njZTBe5ZXyoxGmXggYc+gpA5EWa0gUcdmKXcd28aFVhDyQrrJetRm31Ro+gVPxYKnovxbYJ/euoLbTgkWEr7uqQ0+9ctP8vTju8Spi+MY0jRhb6/C3p7PeJwnf1QqGY6T/5aWEgYDg+eFrK32GPQCdkcehoSVIOMrt1b5uvYGZHCr16SSRrTJl2gLiPGBDdpcYuuQF1Xl5JmB2qOHw96UhR6TkjKO2r9fes8oMO2RSSpTYvqctjLK6jmoJJ2NtTuTIofqK8samyUQ7HnpvtuBaXRjC2qZkOfdrcPSoLhxMwuJYpdVr89uWOPaO0tErsO3fmCdOHN4/fYSnd2A84t9Lp/v8pU3lhmNHfZ7VTwv5fHHB2SZQxwb+n2fLDZEA5eql9Dp+eCCE4EzTKntL/GE6bDVq/PkeJ9Feuxhl8iK2aXCubL+ndOJaNaYKTuuFZE0kOzkfun9ILatApmlPGysVq92oxDuKQWn47qWNyTyIL0sm4AhvTVEXVIRa0QGdU7Huy2sap/NOOTB8cIKbSUhzztbuSTVLmWUQ/dR6LLq99kd1rj2xhJRxeFbX1gndhxev7tEpwPnz3e4fDnjjTdWGI0cdnd9XBcuXBjRbsfs7VXIMo8kgWjo4nsJ/Z5PFrnsOzHOIKXWL3iqX+ci+6zRE1+XjtmgUhqLkrF52Qc6+UIrc0s64Ud7YLpvz1KJPbJJHD6HLUmpeOy2hCl0rElDFJRcb5XMQWWFmWfIoTw9UOzKG/pl6jiFVEwHyRnqvtrCPmjnLLN5ljYsGnDZ63C1t4brZYwijwuNPmkAF8/3iFyXT3z9O3z/v/kGotRhsTHi0qrHXq9KrZoQJQ4fePYut+60uHVzgSQCx8DObo2lxpCaSUlih9gYWn7IW9uLXHX7vOhs8jhdAqKDfhnhERTB5zmdjma9ei20NQyEKKMD9vZ7WUWotDT7TAslW5dNptJt1AJNQoJ2zEuY0ZaRys1eKxcikM9kFwaoiHp1O+S2jAFJb3XKW9SddnBCFBQXXfY7XO2u4SYZo9jjwmqftAIXrxQ89c3v8P3/7BuIMofFhREXLhj29lpUKiFR5PHii5vs7/tsbPgkST5Xc2evxnJriG9SotQhHhtaLcFT7iarUZcqEb2iSTHeQaZvWQahTPDQcJ/8L73eWd2BKltGdszc77qnj6wHZjtZvyhrKThqW3tF2krRL1Bba+4x0lZaj5Zk+7TVYwWFfMFyIY1Z1wJkMgamo/T2IewFYrS2nJAXmpu82l/m7UGbej/iibUO9CDzoLtV4YXHNrm+vcCw59N0I5YuDMG4EKTs71RJY4PvJLRqCXHs4pKx36tysd0jIKXlRlyo9Hl/a5dKJ+Fb3XWuZwv08MjIY3NjPJ5gvrTUaShjWqicFBqXslcPYa14rDKSy0TBYahRz9ey41YjCtbmk/eSGYbWuNQekjY4y9pRJV8+ScbryoStPCaVpFSQso9cKSw0DqoFRgQtP+QFb5NXu8u83W1TjyKeeLwDo3yOZjes8MKFTa7vFDzlRyw9sQGpC27K/n7AYGBoNoZkUUASu/gmYX+/ymJlzFJ9zFJlnPNUfZdKP+Fbq+tcGy0Q4hEQ08NjiMdj7JJx2FuSxrz2wrQSmiXmXA6HTOy7k/BkWeLM/RiqZ6LAjDG/EfgbRXv+lyzL/sJx15QFgM+SdOq8xvfLPCoZF9BwoxyrOuXelSak4BQ3AUdoRQtBuOn0fY97gWVuvFaiclsKF1cwmivNqymuLC4aAx4kkcO3ra3TNRU6o4Bbmy2+6X23uNZd5sOP3aXqJEQ4DPs+W/0aCYbmQshmp07djamlMW/fXGQwcKn7CUkE/W5Aq9Zj0R0y7Pk8W3x+fa9b5elkky/SZocKGSGX2MV/j39S5bQ8ZVENaZBZQSXHjI77SG9Hf3dL1lMV11lIUCuCstjZLLi9zIOycKU8J9PrNf9q5MGiG5Z0ir205bSxao1FuW6ilBEHCtMe1BPHHHGx/KRxwXNJ6PBtF9bpVit0BgG31lt803O3uHZ3mQ9fKnjKdxjGPlt7NZLE0GyFbO7WqTse9SxmvO+yM/LJXBiHhtgxNIKQRWfIcOjzrLNLlLrsxVWeZ5NXadOhQo2QNXYxhPTFc8vkMNnfA9U/GlaUfSbJenCz5oLZ7bLViu6V7luBGWNc4G8Bvw64AfyiMeZfZln28v3WfZZUBqHcywS6UkbU2k6cNHAQE/OLY346LVzKPk1g4TS5uK8URFLoSLfeZgqhrnHJ70s66YuDpF0xitbHbZb8EV6UsVzP13Mb1V229+qstAasNIcMlgJ6o4DYNSzXh6QYGq2Qlh/yS1+5QBo5PL7YZdepMgpdXNehO/C4EiQsMGKVEfHY5el0l04ScJGQK2zhAzvM/lLse4XuhacMEwVgx4RWMjKDtWwc6ySLWXAkTBSh/DZBWWagnnMp9yXbWHjdroepoU+ZBVnW/ooqC3kGoVyFgpIy9lkTUYdWkIdYW64NZydYSW05ZuLO+LA+yDMRvSxjuTqGBoyMy/ZOnZX6gJXFIYMooJcExBQ8FRsatZAWIb/08gXCkcuFhQGVLGU0dvF9h97Io1JJWHBHrLoj4tjl6WyXXhLwFCHPsEVY9MGg+K8Nctnf0qmEw8pFem0a/ZG6/KivPMv5rcd90fkkdBYe2EeBN7IsexPAGPPDwG8DjmS2d+NzKvYnoQjJANpqtAxvB6/G1BHHpphRmod21AccjAy/mD9sV8Xwo+n7yIGRMM04JyEJiUooqCzLTJIrI+mF1dhzAq7U97m2twwhBHECMew4VX7TU9e43l3g2eYOe26VvaTKucqAj7/4Dnthld24yq3bLYaeR9VJWAmG3N1tsOCG3O3UWHP7NIlYMX3OMeRS1iMgnGKcedwLuAeegolykl9VkFSGemjlUiaQbN2aJ+x+GTwu+UQqDN0GHT+TMWIdly5bbAC1L3l7VNIuxHl5jT2uIceDZ7YelqzQurQySGiPjyYX9zoBV6r7XBssQwpBlIALO70qv+kbr3G9v8CzCzvs9Qqeqg/4+IffYa9TZXevyq3rBU+5CSvukLs7DRa8kLvdGmumTzOKWEn7nIuGXHJ6NIb5Chwjpr++bJ/V6lZp6FpDxD6vnMBcRr44r9FUq9fL5JccCzqh517oLBTYY8C62L8BfPNRF0hv+0GRZWQ75mzikEggAnG+TIFpCCJhWnEdQIfyRiVRc+MW8F1xc5PkH5qUCRjaTZeMLhWTbI8dODqOoXFsTdbDqxejVH7wsumFRJHLs5Ud7oyb9AhwspQPXdrgktuj1QpZ77bxnZSnlve4vNyhlYW0spDOfoUnWvt8cec8iTFUTMxHLt2mv+9xIevQdkNeqG9wKeqzOBrhjjPO0znwuCxT3c+AfkTo1DwFTIVmNHSnFZLdlhN1ZTmYjDudXCH5RMKLenxKA1HXbfelHLB1lbVVKy9pJ8JhpSbP6xwLe14qMBl3k1Dsgc6yvC3xNnscpoPW0pocFdm9ocuzzR3uDJr0xgHOYsqHVje4lPVo1ULWe218P+Wp83tcfqxDqx7SGod0xhWeaO/zxd3zJK6hksR8ZPk2/ZHHhUaHdhrygrPBpbjPYjrCJeMJ0yHMJs3Shq2UOfZxpHyx/WtjndqIL+vDVP23Y0OPB9uvOlRzr/SuJXEYY74X+F6ABd7dLET7xW/9QctUnCtTYDVhhlXH01aMcZjMcpSVyywMuYi7lQQFxxqXPPHDhdoon/xc5rJba0jGKMowabkQrhVk0rqRg0a7+NWIgySUy7UOV9M1am7MM8Euo8BjmHo8Z7ZhJw9KP1/dmjxToXVaScgLtU3eWW2zudUgjWHJHVNPY87XE56u7fL+yg4NE9HbCWiGIZejDkPCA3jDrtv2XoYPT0OSp3T8SM6NgsMCxdpcMBlnZbEL6yFJz0Z6RXZ8WmEv7yGvkd6MJl2nTKe39VVVmUMoiCDbHqnEEg7DmZJHdPtaYtvIT0TrwJt19SJxgS+OJ8UiAuEatX7MM7VdRlWPofF4ztmGPWi1Qp5vbU0etp//WoS8UNnknaWCp0JYqhQ8VUl4ml3en+zQIKI3DGgmIZfTDvUsj3Ulohm2uXoJYZiWIVLhwYTFyx7f1ikNbj2GtEd/lGF9L3QWCuwmcFnsP14cm6Isyz4JfBLgsXwtogdOFjK0/+UqyHJQ++K/ZA75zQU3nSgcIFdOFjqoMvmoHUwHsSzZCLGWKOTH3BGTLyeLaiSsqKEP1La2tGD2YNFYdzWFYAwtN+QFNlkfttmPKzTTkKcru7R64YTTrTSxTFso7pYf8psfu0Y9jvjy9XN444RqklCJEy7Q57l0O/90SqGNhxlTUIdkoPc4nZqnFgRPSUgODkNkErp21U8KHHve2mi2zqoq76vrZiVc2HbIhXvLxrPlT/k8sl5bt2UnGUuWcKaY1TLVpjLvQCpb2w4L+R88uMQ45Q1ccd7exFqcTsFTjU3WxwVPZSFPB7u0xiHsiRta3M3WP4JWFPKbn7xGPYv48tvn8HoFT2UJF+KCp7ICACwYyOaQSD6ysS4oz86WTSgjaRjPUmIylia9Np1yjyh3v3QWCuwXgfcZY54iZ7LfBfxHR11gUzkfNFlsV660LIW83tf4bGkPyzepSZoj2lKTeaXS94aZLodtnyxiqx2p43bwSUNQ3l42Tz4GTBR4PYLqfp5O/3xra/LRoBDoMFHQUgLZbzMUHmZrLeQT/nUu1Ppc6y5BCM9EuzwXb9MaFEpwG5Ie7JP/RuTfAywMzzmEeA88pZdn01AzTLwu7b1L61pDc3KoSgEvFZOG5nxVXn4vT8OGGnGXiqssKUQqQZ1kYflFepNlys9eE6q2SBjSlV6X7SgJEc7qbKs5fHGNWywisLg1eQkFvDiVtmdnTFssvWDyVjXkE8vXudDpc62/BMAz7PIc27TCyaofwIFAkMnFcu6eXjJKktW7UjZbKNF2g1T+On5p69SiT4cFyqDEe6X7VmBZlsXGmD8M/ETRtr+XZdnVI6/h3YGJdFYNTMMVmqSeAaZHfaSOaS6Vg/oo8FeWl1pUkFWqMqYli8hnkpD7LPhNr4GnYxsaGyeFYMB0CmRE7pHaCuVI9kXZKFeAH4lv85H67bzSPpNvmKf5dp8Jj8rf3AO7N56Cw8rHkvSEpBBC7UtlIVEKS/prCJKXdJKGHv4S0pfj0CIfMk0/FeXsfyvbtUJF1KXtSh27s89gx1hbPJ99FiMzC6RrIW8ktaLW9LPK221tOVskwyogn9wrU/h/yw/5SOU2H1m4nTOPtfyEotMkdaNOXa8w8crse9axc5uHZsWf9uqkmLP/ZQxWvstZqND9KrEziYFlWfZjwI+dtPy7tZivtBDsINZQnGSqQ/CBHPnWrNP4iAwSSKzC+vEy/3fWejqC87Q1rNt1lK6MVHk76CRJwSXPRaglYeQok0pcjm4LeSRM5+jCNHN1ix/5c/bTySGryAbi915XYHB6nrIklZH1drSSsYpDCw+tmMo8LHs9TIaylMMSFtT8V+VwnZZ1pAKzZCFClzwmJYebjI/J/5bVtMILREMCJpP9DyAv7VUpxZOl4uvmuoPKUBXZURKvkwahxszti7Ek5YfLxBC0PKU9uKIOW6Uzfdg+/kFzbD/pBA9Zxu4fN79Lkx5Xsg1liWf3Sg9tJY5ZXtBZ1u8yrTe0wpLMZvUPMJ1dKE0LaT7adEYLoTXIPRT7RiRWY7lbx8A0npEWhwuoQnpUZZNMy6rRfXAasoIhIk8qcYodoy1HqymthrRwiEM+kQumAlvJOEcgbZ/vk/PfNrmxaQ1QCyHOFdj9kR3POsGhLHYhhYtVfFImS7lslYNUQFLeSgPItsEmTcl5WvIaCy9q/kzUcQdoOLkikTJ/CjEptm1ilsPkKxEHmrIYhEZkR7lMjqO3baauL+qwnWvJSnppMUrjV/IMTDC1PpPBb9toz1kZ4jL5aJeEKawyKyiLppWBlgW2KWUIjeY3+/hSfNnHk9douHDW/WehR7bu+6FHdi1E6exUxc8ylGWSBoV1VhR2paJpMXkTdgAH4r/lvrIsRBloswrKNiIgH4DWfJWDtBgpwSBvS11UAbNhInsLWUZbqJTsaxLx44mzOc6zJg8qtRXJySISAhFJLEmanxoz6fOQSbwuFcV15uScTk/Si9LQsH7nMntQ2mY6fiQNJl+c016UvdYqQslr0m6z11h20EBHFeExFZSlHExBCbTkjIrzFAqrymRpt5SJ9rT4oe0cja1bkmPcjvOK2NckH0prU1uf9LpSprOWpBKTL84+p/W27DELWyST57aHrRywuhFxC/l4Ryk7fcyKKNtsLQos6ajILBkjHw3uT4k9st8Dk0ifRPlk9hIUjKIng0mtJxsqzUE590tnIdrRYjnceiMyncs2SMbWJOBcWIZBVD7BVMcrYBrV031hr5XGouY7aXXLY1PQiWxEWeXyeIkr5aqfLapvMafTkUNub0E5ElYmV6Xi0Q5DmVCRslwfl9dbXSGVnl6BQ8bEpvgRpicNFx6J0YWllvbBROQeiTUU5QCXFqsckxVVTrp/tqE2YCQtRqmlYRpns9fB9NwWezwlhyNsPdabSkW7E1FfQq7AbN3C8kvS6ZU0ZBd0mVZUOoRvm2/f9XEKRzZLy6IyxETmH+hQSKr+f80psHeT3lU4Sro3dmTIOJejytoBLZlGSXK7q61pSakok6rjZVSW3CL5THtEQVp4pjDNpDJ4LLeLC7N04m3J7CdrEYZMmKusTXM6OUloTg8z+f84I0EaRlop6SEsLWhX3N9nMgMlEddpT8t6aFXAlSdgWgNaPFEiI1aBWeTCVi5T3CtiO1HbB7gkhyWylNbadZQPZRlPM51VPn3xLJapOkyUpvWkxnCw5pN97lFxbxsUtr9iWY0sPZy/Yb0uHXqT8cJZcSzbdbKMVDhyhhBMywsJOer72Wu006zP3ys9sh6YZBr9m2Ji6Un50I0D1k2bXhbQTEMu1zu03HDidcmBb6+tiH2pRewbtkwm4UaLZUtcG7FfpLDX9qA2mFhbeuqJhAbsAJQB0jLSFra0iPU2quy9vjjbrrLgbul95nRPJN+bFDBTMV6mX6NULhJ00E639dg0ii5ZyGWCvNv9AQG3adMnYJGQJ+iwQpjX5auKZcBMW5+LopwdpFLAW0UQiDpt4+Ewr0ltbeO4tryU0Ho5D30dHJbm0uWRsKXtFGu1WUvOygIZRxNQvG1bEh2GB/WKGRLZt02wjy/Hh6Uyu7uMdMJFGVxox5Z2dsvoLJyLRzYGpse5RCAOYAqLdRQnum7A1WiNWiVmoTpmVPG4Gq/xRHWfvaRKj4CmE3K53aHVCqeX8dBJHJLsILTlpOUlkh0OmKjPZA5WFRiAG0KtGJl2QrWb5BAj5Ncm0WGsW5MMzVkqU1ry3CHS0m9WmlrJ9Rr31sprDiHeGxmmPfUy5wEOJ3aUeVYSKXdnHJdxZY24S0MoJOAGa7SIaTEmweMOawT1ffayKj0voBmEXPY7tCphrv2s+ya1qhQYcn/EBDvvko/FBSZKQn7t0i4MqFPvrMKx/yWWKtfasmNdW4jaE5NGbIVppWk9LOs9yqSNiEmwWCZ0jCBM8yIDVb21jeWjQLliOUqpaL6T8J5VahJ+1PVoCNJ6dLqesnvcDz0UBeYwmVL0oChgkldhf1bfuNZspDhYMMl60qbWjKkFMVSgVo/ppT7/Zv8ZlpwRSergpim3+00+unSLVjWcMJOtXOF43TBgvdemNw5oNkIuL3ZoLYaTdFj7pkPojgLWu216UUCTkMsLHVp+mDdefoRJZv8Jz62xM0m+YLoZU4NHwww6PwWmBeBBJpfWNmVxMYFBGJj6dIwMNWjBaSGouRd271Sm/GcZitqzkl7bDDR7SjnJesrO2/d5kzYLxDSI8+MmZrPm82+cZ1jyRyRZwVN+k4/Wb+WGoUyKstsiBtUNA9b7bXpJQHMx5PJKJ5/QaxMh6uSKoF/w1LBNb1QYn60OLacAtLtMM4PVwFaZSLdSY14S25fKS7pCdiqNlOQw4XmroArFOiwyCe0apRKUse9GelzS0ZNOnSSZwGHPO2I/Ucd0KEHSLONS63FNZQYzzFamp6GHpsAaD/ge0iq0+qpBobwsY9jId2Fl9cKABX88sboacKvTZD1ts9YeUq+FhMblWrjEVqfGU419zDiDDLKRoVkNubzaoVXLV5zojgOu3lqjdjHGjVJe3V/hF9Yf40OXNnju4jatKDwwqbqdgKu316itxCy0x4x2Pa6Ga7ywukkrDqchDrnkjD02yj2yxoDpESooSQ8HYu2+dUalkXkwqVNKubIRL/8LUytLD0MOUplJYWhvYY3pOd0baW9Kw8pW3mrFJV+vLSc9qTJHxJazNqA1TKWhEhKwxhivCtTyQrdMk/WozVpzSN2EhIHLNbPEllfjqfo+ppaBDxmGplsgHss54tEdBFy9uUbtcozrpby6vcIv7DzGhy5s8NylbVppMXpGBaIyWqO2GLMQjxkNPK5Ga7ywsEmLcDLYRkys3AjYZGJha20t42w6XCCRFksDDse4R5Py2f60HrMKSiqPMoWjlYz9L53LMjDI1iPhRq1c5OPJembF1uT9ZXtR18ljZ0WPdBKHZNIDZrU70qso9o2T8fJwlSR0qNcjLrR6vDlaZKUxoFJPoApJavJPh4QVnl3Y5eXNNbIUXnhik6jhcrVXKJ16yKuvr3CLJr1OwNZunaXlEUPX56ffepKX7pzjmcVd6sQ0nZB+4lM7n38Mkh7UKjGMYD1q83y9WDzXBoUl7GDnglhY8gh83o0msGOWHh50pojUulZByeCJtE51cFEyrWB4k3Lw6RgbkpCxFHlMx1bmdHqSgmFWFqHsZzlUAlVOy22ZGGjROJh+7facTBSskPGav0pSc6i7EReaPd4cLrJSGVBZScCHxDHsjarsehWePbfLy501sgxeWN4kqrpczdZ4ob1Jaynk1bdXuNXIV3Tf2qyzVB0xND4//faTvNQ6xzPnCp4yIf3Mp3YhznlpCLVmDGNYT9v5UmkyccLmoUvXRnao5CUd59KdX+YGyeuskRlNQBSpxCwqasnyirVhZXjNHreKQjZfenBliqisuTIHpSwMae8rgJZDj6uzD6Fc0Z0FPTQPrHpsqfsjy0DWsGpReF8WY7cCuZUX7HoBnXGFnglo18aEFYcvJ2tsmjrngz6vRctAxp1Rk2HqEiQpb/UX8VoJ26M6P/v6E3zgfTsstEa8ursC+/AP/o8XGY49drtVxmOXYejRbIZkkUPDD3ljeYnv+uZX2etV+anXrvDEcoe12pALbo9mLSJODa/snMuhEj/kcrWTW44SANeReSl5ykZLOvvUVDqj9rD0KNfcEKnzxbUyu1BDmjr+fZaW2XuRNAyoIZ+Aw8NDChmLWthtHSuzSk9mm0ulViVnp0ZRthcE9CsVen5Auz4mrDt8mTU20zrnq31e85ehlnEnajJsugSVlLcaBU/t1/nZvSf4wFM7LCyNeJUVGMI/+FLBU70q46HLcOTRrIRkiUOjFvLG3hLf9bGCp9av8MRSwVPVHs1GRDwwvHLjHD0T0PQKSDESPGXT8PeYHvsaFrDx6zqHlV7Z4PaZVnoJZOPDS6hZJWX1qkQjrZLT+lB7RuPJLabgQ9Q10vuWSkc2V48hOYWiTGfLuspkTFnI/H7okY+BWQi9ZnHLOvkiaEWmU7cW8OpohU/vPEHiOyzVhmyxwCgJcEzCIPD4Qvc8g8hjf1QhSh2urHV5am2Pn3rjSZxKxvLyMGeOhsPr28vcvNPg9maLn//i4+AkjMcBvpeyt19heWmM5yYsNwesbyyw1a3ScBJIoDpKWGyPeb2/zKWgy1uDRdxqyjtJm1furLLZrfP80hbf1LrNc83tHMuXo17jQBrruRfSHqvMkpISU8fCClPOSae9YCtEddKIhHzniuz+SENC0pHW56UHLAWadLKlgLQWuoxXWnh+BWj40A0CXnVX+LQpeKo5ZKuxwMgJcJyEAR5fSM8z6Hrs71SIMocr57o8tbLHT916EsfJWG4VPNV2eL2/zM31Brf3Wvz81cchSxiHBU/tVlheGOOZhGUzYP3VgqeCBGKoxgmL1TGvDwqeGi3irqa8k7Z55e1VNnfrPL+4xTct3Oa5+naeSGJxPJvwUTYg7YDVWRRHkXCLkjTPqJefN5F5XT7lCY4yaqAiBAfvKBTb8npLs2JZ9hr7/meRL8rasKPdP4lyOksl9tCyEB+UBzYgYIM2Efmn6pcovJY60IJuK2C90qbXCDBOxh2/wZ5bI6sYvGrCS90LnF/u8cL7N3l5a5W3tpc4tzqgs1Ehqbv0RxV23YiaaXE3ruFkEGYOjSTjcj3jM58/xxtvLDIcelTbhr29Bvs9j+Ew7+owDbh0aY+NbhMSh9c3VvnYh27Q6/u83Fnh8gc7ZE34sVefgcQQENMf+dyOWuzHPm/eWeR60uZXVm7widXrtBo5wx2k/ydFsNrr0ErCafxOYA+uHv0uE/NKYq4SP5LaRl4nOWRqQcU8AUR+vNNmSkfif8LE4pwrsHsnKejsf2sowETA+Ooaua/RYYc8jrVJm4yAJUKuFGnwtn6PgB3abLgBpppxp9JgL6iRGYNXS3iJC5xv9njh8iYvb6/y1o0lzi0M6PQrJH7BU1lEbdTibq+GYyCsODS8iMuVDp957SJvvLXMMPSo1hP29ursdyoMh7mYDVOPSxc7bHSakDq8fnuVj33DDXpdn5c3V7h8sUO2AD/2xjOAIXBj+j2f290W+z2fN3cXub7W5lcu3uATl67n02ba0N0PWO+06Q2KKTWVYkqN1SLW3bGZxNYFkkFHlUFhoXurvCyrjJjkdWk4ULJgwrS+1EpqllKTTZMsaz2tMs9plhKTIsW2UyqxWaRDFl/TWYgPQoH1CbjJGtUiZdfD4x3WWKttQhterazw0vgcy7URTyztc32wwGvjZc4v9BkMfN7pLuD5KV3P5wZtPrd+AbeWMfA9Wisx1daIhcGYt2+16Do+O7s1ssynEy7RaLj8/M/Xeestn0olZTx2MMYQRSlRZOj3XWq1fNgMBk12dx0WF0ds31ng3OU+vp/gN1PeChdIUoduPeDxtQ5ffOkcX3r9HL6TsdbqE7gJbyeLdLYqbHt1Ptq8xaI34rq7QK0Zs+CPGcUeV9M1Xqht5kFtObpltFhTVZSTMTB77igFlopyksPcwmAZF3E2B6rpYQVWzBaYK7B7pIzp3Bprj0hruwwSssNATkKWrz4m4A5r1AuecvBYZ40Wm1SAd1jhBudYbox4or3PdbPAa+kyV5r7VPyEl+MVxr7HLadJJYv5XOcCbj1jEHi0vJhqfcRCPObtzRZj12WnUyNODdthlWo94v985Qpvv90SPOUSRQ5R5BQ8FQMOg2GD3V0356m7C5zb6uM7CX495a3xAknk0HUDHj/X4YsvFzxlMtbafQI/4e1wkc5Ghe2kzkfbt1hkxPXBAjUnZiEYM+p7XO2v8YJbJIBYHipzV+T4T/IUeMsy1gkbc1gJSSUgs+nte9OZh5pkJqL2tnND5LASk9tl2cuyXTb2aeNfMl5WNrbKnkufu196aEkcR7mx90pbtKkTUyHGAxrEVIFXsxUSz+GWabLaGkILvjQ6x+1hk7cGC7w+Wubxix12OjVIM25uNNnyGwxSn8tP7bO51aS6kJB6cOfWArfutNncTklTh8XFhG7X50tfauK6kGWwseESHYyyyegej13SFNbXG2RZShS5GJPwuS9coFpNuXJln+Saxwc/uI3XTPn8Kxe5s9MCBzIDdztNPCdhz4vJFlJ24ipR4PLpm1e44u/nzJxBzY8hhfW4nX892SoYmWKkFY+OuJbF1DSz6nOoc0oTmcJsc8bTsRTrmcn9OZ2eZL/pqUz2fNkamracL/7b33aRBl8lLhJA8nT466xQx2Fkmqw2htCEL1XOcTttcitpsm8qGBduDhcI/IidcZVbN5t0U5+nHt9js9OkWklIg4w7t5vc2myy36syCj0WFmLqqc9XvtQkSSxPBYKnJjQee6Rpwvp6nSyj4Kms4KmYK0/sk2zAB5/axotSPn/tInd2W3mWYwp3e008k7DnxmStlB23StR0+fStK1yp7lPLYogLnspgPWvzfLY13Xk2CURhe3a1DB2zkivQwDRaWTbP2io86dRJuFc2xZL0uLSylMpLeu068iCVjCuuRZSVCZaz6pHH50kcR1BCgEvKXZaI8OkT8ThjPmsucZE+G6bOlfo+o8DjS901dsY1+qlHnDl0ttbYi3x2u3W2exXa22OefHLIxtYq47HHxqbP22+3gJxJxmOXJDFEEWxswGAQkKYc/MooTWE8hjgO8TyXXs/F8yDLIsbjlOvXA65dg1u3zrG8POCNGwGdvQqjoUccGxaaIRXAJ6EXVRnjUWvG9FKPL+6dY204pB5FXPB7ZA68Ep2jlxbwh1tAipPOUo2b2ak5laXmy/loOp1YpkelhYWX5pmJttiszKSzHuTvJZLp7nA4m1BCUtKyluesgPTJIfkaKVsFTzWJWGXMO1ziKdNno17wVNXjS8kaO2mNoB3zOsskmaHruezut9gdVmi2QlZXBmyMGowzl42dGm/fWATjkKYeO3vVA57a3ITBIDf44nj28+Y85RDHLp6X0us5BU85jMcx19d9rr1puHVrleXlmDfWK3T2gglPtUIqDvhOwVOuR20lpne74Kl4SD0ueGoMrwzP5fM0wwKmd8LJOC80VSLGuE26sGQ9MJFJf/DTK2zoJIkyA+Q0iRIy76rMgTgufC69QQnW6LyVWW05Ccx4WnpoMTC9IOhZUEDGm6zRZMwiITEV/p1/Ca+Wsrw4ZDeocjVeY2evRnUpYiUb0um0ubndAhe8SsYg8alUM6KowtaWz40bdWq1jNHIZTBwSFOX8ThnHMeB4fD0Sd9JEmBMSJI4QEa/X6HXg14vpdlMefPNKjs7dTY2HLpdB2MSqtWEUeSy1wu4sJRRafaoLkb0Ap8OVULj8VRjnzBz+VJyjnHislYZsOAWkGK4xgt+ASmW5d9K3F4GQLSUO8rr0sdF9oZmmKOqmXtgpye7PJvueksy3V1OX5DHtFUP4JFxgzWWC54aUeELXGKBlOXWkN1Glau1NXaoUV2IWKkOGfo+b95YwPfSnKeGPn41I3UNm70ab9xcplZLGI08BsOANM1hwTg2OA4H/DVNJS69ePokAWMc0hRcN2Y4DOj1qnQ6Ca1WzJtv1tjZCdnYcOl2XQwJ1SBhFLrsjQMuLGRUVgue8gqeouCpXZcv7Z1jHLmsmQEL2ZiRU8wpY3MyiRoOvr7gMElwkDHIhMlqGhbuG4ltS9ZTs8kyRdb91Hn5/o5Ke5e9pz0v62nLLMijet6WLYsm2CxJ3Y4yfv6ahhBdHsxE5hq5YqyRWwjb1Mlq0A98riarBJWUjbBOhwoX3ZjewKfiZYyT3HrrdCsYJ2F/p0Ecu2xsGCqVlE7HI0kcRiOHLLMWYTDT0zoJxXGu+MZjgATfh17Ppd8HY2Bz0yeOM7IsI009KpUx4ziHU8LYo9GMaDRj7gyaNBoRdzcafDlcpZ2EbI+qYAzftHQbE0PNyU3Y9aTN8/7WpBE6j/ooDrAky8sJKZaOqMOuaq8TFud0/2Qze2UsC6aVk1ZqMjMUcV4uE+UVxzygCYyoUzfQb/lcba4SLKRsRHU6boWLizG9zMerQmYMYebQ6fsYP6GzXyfcr5KkDvV6TKfjFzwVCJ6CNNVWkiQd0ZseaLaOwSAXa74Pw6HLYOAKnqLgKZdKdcg4dvNFp1OPxkJEYynmTtSksRRxd7/BlwertN2QbaqQGb7Jv40Jyedr2jll6daUdrG2YVlrLRRolY5cBtGW0xOW7TsqEzcS+rWky0mlo5WkbNtpxZmNYadMxpCdllomBsqyYO+XHqm1EF0ML7DJBk3GBHTcgLoXU6kmuEFGWjHEKQwTlze2l3nm0g7PPr7LO50Ww9ilN6iQJC7GOGRZPvDjOGcMz6PA4E8i5U/fco3vx3GC4xgcJ7cuO50KtVpIszlm7XyfSiumh8fNUZPNUZ0PXtwi2vLY2K/z6niFx+td7jhNLgQ9mmlE1YnZjyrTC6VKD8ympx2VHiRT1GxX2PKzpKRNp2dybVkx1CVzOh3ZWSKS5MRxmHas7b4sq4P4ueIyfIBNIppAQGwC6gsxlXqCW81IHUMMDB2XNzrLPPP4DpfXulzbXuTWXoNuPyB1wDEpceIShi5ZZgrIL1Pj/ijlpUmX1RO1XMGvAAn9foLjUPBURqdTo1Yb02xErK31qRRw/M1hk81unQ9e2CLa9djYrvNqb4XH0y530iYXxgVPRTH7aeUgu9CSZivtOdlj1vOSk461ZJH7MpHYksR/Zq1go7MadTvsvu75WTEsCTeX8eqo5Jgle4+zWm3nkVJgC4TEuLyPXSrAoFqjV/VZaUSsrfbZrDcgM2xt1hilHne6DS50u7QWRqy/cZ44doljnygyU8oLIElgMlzeHd9BxtPGY4eFhYyVlRHGzdjtVPhy/zwXK10eX+xwyesziDwGY48LcR/XyYhdhzcGyzxb2cF1MpqVcCLV7GiW0syeK0vssEs4yBSnsqUcXFFGmJAH3xRzpnWdXJ6oDMKa08moLK6sFZeko47Zyckt4BwhAS6r7NIC/s96jZ7vs1KPWGv32XQaYAxbvRqjkcedfoMLu12cakQ3DEhdQxi6RLFDGPrEcR6vAstTZ0XHQfm52J3wlGE8dic85Rc8NTjPxXqXx5sdLmV9Bq7HIPO44PdxRxlx7PBGssyz7OCmGc04zFNAC7LLH8IkrqWBDpmokYjfpJXl3ltD7Fs2O8rzQpyXS1RJmLnMI5sVq5qlsGxd0lO0/TArLnZWbsBDU2APYrmgp+jwCmvEQJWYxHG4Hi9wPutDkuE3Eno7Pq/fWWFxYYSXJVxbX6AfVvG8HL4YDAyDgVcw14TNz5bZTkKHVwXsdgOCoMFw6FLxYp55Zp8Lfp+trTqLwZhuv4LJMlaCIcPEI0ugksW83V/gktvj6erutHkocQMJjkszDQ6PcskVlvTnoEUCh7VQTbGtTk05g/p2czoZZZTPfpCvuiyEqRdWDsSxBLhMhzus4QCVSkwSOFx3Fzjv9MHN8JcSend9Xt9bYbE+wnMSrm3kPIULTpoSxT6DQYUkMVNtnuaph7OAWLdbIQjSnKeIeebpfS7U+2yt11lkTHe/gkmyPLaXeWQOVJKYt7MFLnk9nnZynjIRDNPJ2LWZhnIsy4QHS9rDkTCb7ZFQHHPEMZ0RqGNckj2lPYk6bstZ5aYVmS5vwZpZXqMce7Niaogy90P3pcCMMb8T+D7gg8BHsyz73H22576oRcgH2eQGbTZoMHQ8Xmht4tSgE1e4dmORq7dWWVscUGtFdHpVuqMKjWZImiYEQUKaPgjf8GxoPHboFBM4w5HLM4/tUw3zlPkv3DzPeMfjKXePp2p7eE6KT0o/9UliwwutzclCp1pr2G05hT9R2xLEtyT160CUt2S5aFSs7xaBE02vOGDngNpYgM6+eq/RvfJUxmEBCIfzcbTnW6a85K9FyCqbDGlzK2gwrHq8sLqJU4FOpcK1nUWu7q2ytjygVo3ojKt0ewVPxYYgcEjT43zqd0t5Hbb7x2M356mBS9h3eebcPtWk4Kmt84x7BU+19/CCFD9K6cc+SWJ4wSkSOOLpzEOZNm8FvYQJYaI4dIafjVWVKY+Iw0uOSuUlY2e6x8s8Lbste0WCL2WeoKxPtsHG4rRn6ahrLJV5kPdC9+uBfRn47cD3n+aiB/k9sGVCltnidVb5lsYN1mttqu2YJ851eOntc4SRzzNXdtjotfD8lCoRO7sVxuOAlZWMIMgTJ/r9d+Ozm6ejNDX0eh7VakatEvHam8usp20W3BHPL22zlg64trXIdlbjQ0sbXKj1cOsZfpLkn36xSioij4VZENyONun0yZEMkw+p9ZnGQnTEWs5EtiPUzz/KaaVovVB20pGz2Vj3Ekx+xOieeUp+akorLZgO9uuwZVVdEzD5aMMyIUuVLV6urPIt7RusB22qyzFPLHV46bWCpy7ssDFo4Xkp1WrEfqfCKHJZXh7j+xCGGXE87YHl9G7ymO2NieWV85RPtQo1P+K1d5ZZd9sspCOer22z5g64trvIdljjQ8EGF9wersnww2QyLWVQnnU3C9SQtqIV5C6H1avdl+q9bAEdTVZxyPq0ItHxTk1WWUolJr1E6TnK+9jnkW2epaSsDrifeNh9KbAsy14BMKZsYM6md0M19AlYCYZUGzF3vCYbwzq7wyquH7Ox18Cvx9zdbDBODJ1OhUolY3/fL1Ljv1qU12EYMU3zALjjwJ3NFu+/sAWuw1ZYzy1H39Cqj/FqKV8erPGY3+Wj525NlmqwQLhUXHJys8YmpPSTASv5X5IMxEhMw9bv5O+/Ppg8mV5h4L2swO6Vp6wS0gmhZRa0hBiltwWTNUSlpR8ApNAbB6yEQ6rVmDumyUanzu6giuvEbOw38IOYu/0GYZrR6fu4Luzt1XDdWcrL3uHhUpoa4sjJeWq3xfvPbQEOW0k9RzgwtJwxnkn5cn+Nx5IuH3VuTaADpmNXWqDbdyI/IiHHuLQBT+qR2LUSpbLU7KjnA+qxUUaSXWW6vP4v228VnW6DjJklHDagoHxu22nooa3E8aAD9U03ZJR5NKv5Jxw20zqNygi31+CdWwvgZFRqMcN+DTBUqzH9vkeSuPeVHn+2dNg2CYIEz0vY368w8l1eHy+xUAupLEWsmj4fXb7Fa50V3tpaJIwcKn6cSzaLMVkso+zDQZYrrCsE08rMpk7pVCJ7jaREnbP3LSbISBjRVi1hxDmdjiyqMUsw6cxDK6gk3GUXv7Y/q9iqABVoVkJGdY9mreCpcZ1GdYQbNnhncwFMRqUeE40D0tShVosZjfJ0+cM89dXz0ZwgSPG8lP1+hdHY5fVoiYUgpNKOWPX7fPTCLV67s8Jbg0XC0KGSxZM1P8fTGYjS85GCXUJmGjqU8SkNDUqYTb5b7UXZd4k6JpWjNoelDNawYtm2bYP2wmTb7LmyeWkakjwLOlaBGWP+HXCh5NSfybLsfz/pjYwx3wt8L8ATJ27evdNlt8Nnk0t0+hVe7a7werhIlwqBl5ClGXv9KsmuAQMLC2OiyAMysuzYqh8aGZORpoY0NQxCh+GwQjx2WaptsNFtsD+o0ljKl+1Z8MZEkcMXe+dJI4ePt9/hktObhhF1DAzKNYjEOcoi0GWJH/a8ziIooTJs/FGmB8FTS8Wxsm4uE1Q6xjHLOzv4akQAl9sdPmsu0elWeHV3hdfHi3TTCkGQkJGx162S7BkcF5rNsJjTBVlmyFUs4i4Pi6ZF8hRPDRyGWYU4dFk6t8FGv8F+UqWxHLETV1kwYyIcvjgueCp7h0uV3gG/yKeSHotNVqowmcQsKRX/LQgyiwcSUU5SmUNQBmuehjQEOuut6TIyOWtWDO2sRsCxCizLsl97FjfKsuyTwCcBvsGYbHBM+fulpFhYLBvDer/FZtTEbyf4pDiZOVjSqFpNyDJDrxeQJA71A459+NCGpnz+jCngGIMhobEQ4rswiFyGQ48f7z/Nx1Zv0h8HJJGDSVP2hgE/tPsi39S4xXlnkC+Bk4aH14GRHhpMe2UwO+9WTijR3aYVJJMVuaXeey/Rg+Cpy8ZkZdYyHBaGs1ajl8kGAflXhw6gp3zZeUggi2F9v8Vm0sSvJ/hOimMMpjD+arUIyOh2A5LEUK+XgUsPi6Z7KecpiONJ7lzVK3gqyb/h9+M3n+ZjSzfpjwKS1MFkKXtJwA+FL/JNzi3O+wMuZx3qcXhoTMvkhoDpHCj9vqS3pEPQdlv3XMAEmpSejyWpHI9SYtJGLYsiyOeSq4Ok6noNFUqDScKs8r73MxoeypQbiyo9yN8btFkNh7zobtEiZMUb0ulV2OnUWWqOWVkc4boZSZLPT6lUYjwP+n3byoctWo8KbZqDv0utIcPIx3cgygzj1MsVNBmek7Lojninv0SUOgzCgAiXq6M1uklw9GxiScdFfCVp7j3BNbMcuDmdnrTFK/vWZh+WJWpY+DFU17iAaeYb68M2q+mQF70tWk7ISjCkM6iws1tnqTrhqTD0SBKPIEhw3Yx+X9vJD+stH39fB2hUE3qjaq54UsM48XAwGDfD81IWqyPeyZaIjMMgCYgcl6vxGl2CA5R9RJ7vNAC6TIXLDsF9umXa8LDKoqy8/C+9Zxmmtj+Z3KPPy2vKwF2paKyHWAYhWpLxWJ2ocpZ0XwrMGPOdxpgbwMeAHzXG/MRJrkvJX+6D/G0RUB3EMIJqErM9qPHa5gq9fpCvBoBDoxbhOvnnThwnpVKJxNyUh+0f2E8/Tg8nGds3jqE7qrK4MGKxPcL1Mzw34WbcoOrHPNbqErkuoevw/2fv36Mly/L7LvCzz4k48Y57b968+aysrFd3VWdVt7ql7pZl95Ksh42XpcGMAYPRAALPCJhhMAPDw3iBYTCzjO0xeM2wAC0etgYBgwEBkoyRZLVk2ujVpZaqO6uruyvrkTff9+Z9xDvOc/44sTN+8bv7xI2b92blo+K7VqyIOGefffY5Z//29/fa+5yu52vU1WoxtWrMpmlP86btS7p0DrX9+Op/wGzOdUUcr99N7x38Nt6sQMmPHWCf5M+jxMPKlJ0H5uq1+jHYx12HyeLQU63aF/sfDLqTpdJ7cZAnCo1hlTGDkc937q2xP6gwGOXLrVmZGo98yuWEej1yzKFMmB3SPwpI+iiOv/kexKFPUA5ZrY3wvYySSbjZb1DNYi4GXaLMJ8TjtBkyNGVqJqZGzHu0H3jnLXnJuK61UIr6kU6M0HFLrZy4pmdKEtN1ziMP2T9sWU04cpt8z6c9t47Byv/6Wk4Kx81C/FngZ496XAxsHefEC2BMyHZconbbkJVzt9s49Ij8jHHqERtDikfJpARBSq0asb2n3xNtH83jCDjL6YtT5K9syUjTFONl7Pcr9OMSvSjAMxnffeYOISWCRkKlFLPXrxJUE1qNMXUiqEK1HLM/quSLRuokDu1ClOSlpUOnOUl/g4V1L8qenEJ1ME3gsBppVfz/uOJhZQoOxg/lGof6dW5SF5HKhCU0mHaF3QjW9qG5FjLyStT8mNNen71+jeG4jF9OySgxTH0MUPJSglpKrR6xvT3v3esf1ZPWsjQrUyU/JcOQJikZGfthmVYUcJNWLlMX7hDulwhMQoWYvVGVIElopWPqcQQpVIjZovLAMrH3zrrTdGhZWzSI/zKHCrVPuvakY7YorV3uWwS2D9kYqYQUb1eCBmqbHi5sW/Sxx8Ez90Zmi0t02GeDD7JVdqIKw7TEWjBikJVJM484MVQrCRmGSpDQqkXcuy+ng8qg80c9rBZrplmW4nkZxhiCckKcGm5ttzjf7nF5dY/dsMbZyoDb+03SisFPU15o7OEncC7oQQyjsEQzC2fJS0JKizaVtJolJUou4QAHJUewlSnnE5stt9kpZR9n8joObM+VVpa8n/aRSENb32tLaDKJAyZ5PxFcijpc7W9ACW52W0SZYbUyoptUSJOMNMkolzJ8AxU/oRVE3EuKZMq26lE+8cUsvDQD30sxvqFSjolTj/u9Ks1TIZfX9tjt1zjrD7g9bJJmBj9JeSHdw0/hXNqDDAaUqBA+yKaFaUzKiplei9AqbbasJCFU2SKRU3rhTJzKJd6+2F7kTZiX1u96Yrp+Scja2tRW43Gf/mMjsEc9UJ0iZJV9vpK8wD3TYq08olJP+U5/lXI5xEsq+KUUPPI3wO5WqVTSybuJ9LyVRylo0viXj7+gdOKRJClrKyNW2mOSoQcJNEzElfo2FRLuj+sEacLL1V2a9TGdcY2LpkMjihhmJYZJKV8CR76/HKa9XhKQVtVlfqxNi7c+YVteE5h85boHDPJld7qTwxLy313cWVpLHA7tIoRpnMLlvtEDlPQI2/qsxWAt49Y45PXaFu+M1nmzd4FmOeSTzV2+MzhF5Hl4XkaMoVJKiGPD/Z0qlVLegjTNF/M9CPvSkJPCUVz/GWBI01zm19pDVutj+oMyJZPRKEVcaW1TKSXc36sTxAkvm12alTGd0USm0oheUmKfEi+y+8Bl6IpRWbegTbqAgxmHkgCtBaefo7Z8fFUeZi0xF2G5SEXnaNl6DrubcjjQ57X7JaRD5rgj62MhMNe0oUeBXaq8lOzxTe80q6WQeqODV0652W9SqQ4oVTNeem6P69st7u3VGcYlyn5CpRay16mRZpLEiojluMKnPclulEr5qsJJbAjKucuzVYs5s94nHWfUvZjeoEo77XLKG/Jyc49Xg/tc8bfpjgI2+232owpNQl4q7eZZiC4VzWWRWVhfn91v05USZgMwuj77yll7penBeV/2bbQu98kSh8PO/rCyJa0vm7whLSr7KGV2GEwHFJmqba2HWkS++sQYGumYRimh1Rzj+RmbUYtBXKZUTnn90jbXd1vc69UZhiXKJqFST9jraZmykLJl5Um774uGOrm9WIaM4cAUGd9PMIbJklcp1VJCUEp47tw+JSYyFVVpJ11OZUNeLu/x6ug+V9immwVsRm12kwoBIZ9ilwoh+xx8HQrqv7yvcibKg3Yx+xxgSjh6FJKLAEhV2NZj754VP/287TbZFp1EUuQulO21cLkrtTtSWniu+o6CxzaR+aPAgIAgSVj3R3SiClkMZBkpHu36iJVWyOnVIZ1hhZKfUi7BXj/AL2XU62N6/QrGZPh+3vPtKtqzcAnfIjiKsGU06hH1Wv4Os/OnegR+ykp1xEZzwH5YwU9SSlnMjX6LM8GA5/19eqMAAmilIVfM9qxDXvs0wC1NqfqtSUs6/F2RZab7stzAnSEu12FLHB2SFqTFJZMBXI9GWlxyKS+pPdseXo1yt++1eI3Xy1u8MzpDajJMBv7kgIsrHU43hnTCCqVSStmbyJSfUa+O6Q0rGDL8UgZkE5mapyjK/0VD3eFDoO/rNztnVCsJzWrIYFzm/FqPwEtZbYy42Bqw36vgpymlNOZGr8WZcMDzZp/eOIAQWlHIq+n2gxba7EPrErRz910uOHCnyc9TYfXEZVvebtfyoy1snRH4MJh39+XIqFe9R+3XZH0cPNMEVifkTlbi9wU3+N/Mc3w4WMErwanakAxoViLiyCMopTRree5QOYjZ7wVUA0PFH+aaSWZIMURRShiWJtlVGeNxvnr9VAAfPquq0YjwPOh2S2RZTprG5BMsS6WYLDNUg4R6EBFHJYYDQ7UUM656tGtj6uOYUb/MOCnxhfotSmlGzc71ki48mI0qu3qT3KaXE5BuQ0lmdvRzpUBFEE5+++ksecmVrZaL+T48JOm44ls69mLLwXTQlfk2Mn7TYPqIgxAw8Epjj1EW8Ha4TuJDyUtomoy1SkgcegReSrM6kSli9kcB1ZKh0lQyVUoJwzLlckS9nhKG/iTt/mhLabkQBDFBkNLrlYnjdCJTkCY+QSnGI6OcGc40BsSjEsPEUPVixhWPdmVMPYoZ7ZcZD0p8oXqL0iijNghJklnXHOK3XFkGpiKDo7z9lhaTtNJcZeEgYWmXnMvawVGfhMsqk+2zfaKI/HSqvnxBp6zPnku256lzIdqU30cJHzhLhw+Ss5SylE/692nXQ8aVEo3WiPfjVTI8SknCH/jEdTZ3V9kbBLx3d4WNVp/E5GnAg7BMjM8o9On0qw9WFWi1MnZ3SyRJgDEp5XI+30UumWNM/tHbfB+SxFpZGbVaRBCktNtjsiwgHJfwfCiXcldhHPuMhz7pCKq1DONHnK6PqXoxuzs1Pnv2Di1CVntjLpU6tMOQ4WgS54p4kAZ9KIFZh7veJmNgcikpIZnJxEfhqwebpVMOtcIwYDrdwU5ol3P4lgR2dOg0aHCnYqP+W7LTWW5SP+kz7QbtAbzc2OWb8WnWakPeqG8RVnz2kir7VPDTjFKW8Aeeu85mZ5W9csB74QobjT4JPuVSwiAqE2c+I+PTGVbIzBCAVjtmd7dGHE+SlIKUwaA04/lwuQJLpXxbmmYT+YR6PU/nb7VCyl5Ib1DF97NcpiojkjCX6agErUqG8SJO18ZUTd6Gz67eoRWHrKZjLtU6tMchw7jES/4uXjIVJ7kim00t1yQGbuuqyFu/SNzJZblpV7ArziWdIoel8sv6bbuKFhO2FpetsyzKyn22n+r1Tx8Wj43APooZICuEfCn7kK+El9lPqrxQ2WOlOsYrwZeeu8lXu+f4oLtKcyXk86ducr2yQjmJ+eSlXV44t88vvPkKpVMpFy/0SMvw9ffOEGdwd7vJ6toI36+TJA0ajZh6PebmzQa9XhkwD4iqVMo1vzTNLTbPSymX08n/MvVqyNn1IZ6fUiplxDWPocl4/myHWiWhPywzGJToJGVIMhppSMUPaZDiJRmn/AGXkg7fW73N9WiF0+Mh5XGSx7mSMB99JmRl12zTgsfkOxgfvIflcf4xk9EwG09eTgkzr5Cw87+rQgJs/XIJRcuBmrDk5M+lO/HhYAcHGe+aR1x27cNgzrG2/BjYAxopvBbfp0OFO0mT9eqQcpBxZfU+59o9vrp/jg/6qzTbIZ9fucl1fyJT67u8cGqfX3j7FUr1lItneqQ1+PqtM8Qe3N1rsroyws8SkrBBoxFRr8bcutek18+XeDPGUCrlVlS1GhFFhjAM8vhwCphsYs2FrK+G1CpxvnZhM8PgcfFUl2Y1pt8vM/B9OgSYBBompOKFNEyKF2WcMgMu9Tt8r3+b6+MVTmdDynHCS2aXVil/fYqfTtfzlNaY/daL3CB+yyw9HVuS99w6P6TlE1FsCeks3iILxxKIdvO56tSkKIkJDpJbkTUlLXuYfWfYcfDYkjge9VJS0eQcG/T4seF3+HL5Mt1hhXY/5FypRzOKaLZDbjR2c61tDD96+V1WPjPizc0LpB3DmUofU87o3Ator4x5+fQu+4MqL53Z59VXdvja2+f4drBKEvtgDJ99vcetOw129mtEkU+jEZGmhlotIkkMG+s9bt9pMx6XKPkxF890SUKPaimlXIrxMlg7NeLWdgsTQ82PGYUlqiS8eHaPa9ureGnKi419LtT7DJMS3hju7DRZa434THYvT85IySfbTVghSd0GmI49aS1NhrrKUd7pRuTCC1NSSpgGiV2Z80UEJhfz7U/+u5ZiXGIxaAJy7beDXJXpG34t7D47sNl+YPME7bNuDUO+uHaLflamm1RYi0ecMz2acUSzFnIj2CVLDAzhR0+/y8q5EW9uXyDdNpyhj0kzOnsB7XTMy+1d9odVXrq8z6sv7fC1a+f4tr9KkvmQGb7rE/e4tTWRqdin1RqRZT4rjTG9YUCj3mE0qDAclYCU5qkB/XGZVjAm8BJ8U2K9PSCIU/wQSibBTzxqBtab+2z1G3jJRKZMn+F4IlOdJmulEZ+J7tEy4QwzWUXQ3m+dqOGJ7an6ljEwSUq+Kqdh6yuapKzJT5bRdbqyGfU2HU3Q2axFcSzZDk1o+rpkdOJh8VgILALuPOJz2Bs4Ak5lIW+EH3JzZ4P2MKbajRn2S/i1jD967hqtSgh16A4CNnfanBv36KYBr/o73B038Etj1uMho5LP1/sbeDHU9iJOJ30GVZ8s86gEMasrI+pxxPtxRhCkpBkMxgHtYJyv9JHC937qFp1OhfHY56Uze3zr+jomS6mSEMY+lxpdvv8z7/ONW+cYRD4tb0izGfHZU/d4OdijnKa0TUh1GPN8ucsg8qklMVfSbbgPobCi7IoArlwNbYHBbJaa7az6JYdjUc6SUshUIbFLyGiylJ5Ha2l1xHHWrbhMo3842NXoXZaXy10k0+QtpHVgrTL7W07xM2VomZAfrHzIVbNBjZjqOGYYlfBLGX904xqt2qSmMnT7Aa+Mdrg2WuO0GdCPA06lY9bTISPP5+vjDbwMat2I00xkynhUKhOZyiLeT2ZlquZHbKz3GYRlPnX5Dl455fZ2k9VmyPZOjRIp4cinmY24mPX54Rff55vbp9kbVMliQ9kf8d0bd+m3glym0pDqKOZ502UQ+9SimCujbbLxdJC11ockGjtJ3KbGW8vGkhscJAV5v3V8y7ptiywZ6eqV7kCd4WifsSTOeXE1Ddd2bbHJskXp866sSds2OP57IR+bBdZ9xOeQLhIfqBByni06wzb7wwrNNOSlU7u07ofQgW4l4Gq6Qa0ec6HSY5SWaHgRaWwYRz5R7FGuJnzv+m1a1TH+IONPvvQ2d840uNNp8uvXL3Jns0GrFPKP/YG32O43+M3vnCcc+DT8iEYtJI4NjSyiUktJy9CII37o8vt0+hXCqMSp8pAXV/Y4VR7zBz91k/d3VrnXr3MqGPLHL36Lr90+w+9sX6AdhdSzkMEwYDQsc6W0BV0Yjmfvq06UkNqUdm/Yeybhq7J6qSJpgcmOKbU3maBht+ksRFdblzga7NxK6ba10INaldkYl4bUtO3cIqstj8knNQejPKX+9WCLzUGb/UGFZi3kpfourd0Q8rAWXRNw9f4GtSjmc95dnvc6/EL3ZbwsJco8yqWE763eplUa49/P+JOn3uZOo8GdcZNfv32RO7sTmfruiUx9cJ5w7FMrxzTNmJY3ZjUaMxiUuVjusW6GfHJ9m51uHeNnnPX6vNja45Q/5vs2bvP+/ir3xnVOlYb88ea3+Fp8ht+5f4F2FlIfhwyygNG4zJVsiyyaTcyQmYUui0omLFhCs0RmSUY+E50so0kg4CApJep4ud9lFclVVeDgeVDb7bUUERXMWmv6nK7MR/1bWp/HXbzgmZ0HZt2UduWBhDwr8QLb1IH2LrmbbZgX2qRNrR5TG8dQgZqJOc2Qej/ihdo+w3GZeiniXNCjkUbs9yt8oXKbbhqw6bd55fwOX92+wNlGnzPegL16h/rZGO9sytawQS8MqNQi1rIx9UrMK2d3qKYxvV6FFzd2ubvf4H6vSu9mhQuNHntxlfVsyFo84pLX4fp7K5wJh/y+9CbXumtsRw3WvCG/L9viYtKF7nQisIV+awocFDgpEDJN17WUjHSH2LqkX1/61uGgoMv5JvPcJUs8HOSz0YOHHVysKxBRVg460oqTz8ZacXa+nj/I/7e8kCvl7enBDaZLTHiw2W9TS2JqaZ7Dfro05MV0n2jkseEPqWcR56oTmRpU+EL9Nt1ywGba5pXnJzK10udMacBeuUP9VIy3krLVa9BLAipZxNpgTL0U80prh2oW0wsrvNjc5e5ug/vDKr1uhQvVHnthlfV0yJo/4lLW4frNFc5EQ35ffJNrAyFTbHEx6s6MUVYpkB4COfDq1+u57rGrv+vECCmfUsEoUuqkG1MrKrY+V3KFPMZljdkxQPeno1hsLkJzjSlFK4IsgsdCYCGw+YjPEZC7qPrAPlOLrDXZV0+hug+t/XzffQLOMJ6+jtaDqsmDw+OSn6u4tbyCUVSi6YVQgRYhV7xtrvhA1zDIyvQ2A/bCKm94W6z6Y+6lNfpZwG6nyqnSiC+2btHciRiGJcKBRxJ5vBblwrc9rvF3o+c4ZUZcKPc4l/Vo+hHDpEQ48mglId+T3KRKTES+AsAKHa4DO+QkZjuEtG6kYMBBC0yu4IDaZrV2e5wtZyfMpogkDg5aYFZ71S7EfaYrcQzIkwSWLsSHg33hNhTPv7GQE5hdgXWtHUu3sB3ErXsoSKE6ntQxBjMmf6jtvI7eMGClNJ5JP1sZjXgvW2UjnJhpd2GUlmiaEO5DqxVyZXWbK3WgahjslumNAvYGVd5gi9XSmHtmIlODKqeyEV8MbtHs5SvNhOOJTKU7VP2JTG09x6nSiAtej3NRj6aJGJoSYeLRDEM+x00CYsKkxJASZ+kcsJgsqcgUee0u14qhPBYOkphetcMln9rK0qSjt9nz6HljmigjVV7uc51L73cdq+HKXNTHHyeh77EQWAzcfcTnsAkHUuDq5ApimelbZyvkA/IOYU4Gg/jBoL1HjRBDl4A2Y6KSx9VggwtJly/Wb82uneLB2axP5PnUKjFvjc7QNCFh4nO6NOKNYJvvjE8RZx6NbsQwLjEcl/BHKbU0phrHpMAKQ87TY40RL7P7oIOXidmjwots8QFttslX1TjLLslkBYAd8rFDdnYpBFo44CCBWYGUg1rAwRWktNVlz+sSBB0DszEzGQOz1qON2S1xNNjM3qKBzD4Xa1XINfhgNuiutWL7PKxbzE4r9JmdoeEBfpQn/KS9/H+DkBElauXcs9HLyuyMa6SeR2mcEOFxNd7gQtbli94t6DEVzjqc9ScyFcW81T9DMwsJY5/T4Yg3wolMpR4NL2LolxhmJfw4JUhjAnKZ2jBDLtJjNR7xSrZLmOV9LSOmQ4XLbHGLNjsTmXqeXbzJsKrvqfQguNy0idqnlUSPWfkr6uvSrajjmtrakm0oIhdbXhKmfNaaiHV9RUqly0LUbZOxuEXrXRSPjcD2HvE55AoD6eR/n1z45KKlVrs0dLjFBvtAg5iEEu+zwmXu0yBmmyZxXKYeh5QYUx+HDJnyl+/BJa/D1WwDAqglEd00IDOGV0o7NIOI56IO9+Ma+6ZCMw55Mdnla5zGI2YP2dlG3KDKBtMOFuZhaSDkHNsPzjtiuqagTYKYZ4GB230nBzDZ0aTLwe6zvnmZ0mvPq7VFS3R6+pjNOrSWm21/l+N36o8zXHEQCT1fTCYMuCaRy5cweqqsjrPIpA9bT0aH99mgEUEjinmXFQwxn2eT/bBCjzIeIR5jMkJ2h7lnJCJXNi+1O1xtbUACtTCiOwjIEsNL0Q4lIlbosE2N62mFahxymV3e5zQ1YoaTdvgZGEZsZlXOTNoVAz1K5JIV8gLbM/dszNTilHOX5D3WFo1cg9JuSx3lrSzJeK9UHK0LUsbdpIIpEznk+e2z1IkgReRi429FLjwXUc7rXzr0YPfbl27K856UjD+zE5lhNjHAQmYLWT9wQB4fO8sW92nTp8IKIS26VMhX7dhglxo54e1SeWApPJg/k0IlDXmNLW6FbepJRIcKz7NPI43yDC2T8YPZh7TS8EFqe0BIjxKlibYI0GLEPhUGlCgTM6LEeLJYqAyAwkG3hSYqHNu1RWZRlF7rcoHIOovOO8+14IoHLJM3jod5gXG5Ar39ls+7KNaiB8OE6YRdW4f8bWXLIiZkgy3u0maLCtv4vMAWhohVBrQmx/WpPFBqrcdkAJQ7IZc6W9ymTUrEfSpcZJ8BEXco0SHjCh9SIRRuvpAuJerED5TVFiPuU2GPEh4xPUqMKPEKu06L1caOYOpB0PdG9nuX5Sqh5Ue6b7VM220Bs/JmoV2/2rqx5CdXZHERj4xZSyvM5fZzwUVC8h7ocURukwkoxyGzZ3opqaOiTkiL7QeW2QecJqREjekiamNKNOZ4bR/ExLJ8wc/rWZt9KjRNmE+EVMdepMPbbEwGmJgxJTwyvo8P6VKlO3FrvMgu5cnrGpZYYhHYQc7O+Vpkomso9pXFMdINJAdAWYcrmy6a1Hp2YuEYQjqTGmy9ISVKhA8yaO3q97YdI0IqbHOJbS4ScIs2N6jgE3KBXbKJXNj2rdDhXTYmaxPGeJQYk/E9fEiHKrtUKJFbawFhTpRMB3zpbrVJL9pdqEcAGYuS97coLiZjaUUTk+HgvK8iBVW7/1KmbmLt2p+nKGrvzSKkLPcnjm06M9luOwkrbElgc3CWDtfZmORv5JYQE61tEbRMyJVsO1+5wj5RtQxOi9xqu06bDhUaE7JqEnKB3jS2wEezgv8STzeklWXdTjIJQ/YnCT19QSZ5wCx5JeIYXx2v4z+R2t6iww4bZOQvgcwm3oWX2H1ggUntfCDqyq8rZI1t1sS1yOkYPjlJXmaLG5NYcYOQDXapE1Kmx7rjum37JGlrT4ImLV2mKN4VqjK2XNHKFfKe64Ff3lPUPgs71NjFhbWlaOuW89p0n5ATsTW021O7KF0kpvuRbLvrHiyKJYHNQYOQVybujx4V1gl5mV2qJ7wQVouQT7J9oJMtscSisBOZdXxLr8VsYV1McDD2JYlLB9xtPTJeE6nfiPPq+X8+Ic9NXPW7VKgRcoZdIsIHbjrbNpkoZNsil2FyZU1OV3wJeW5i9dnBesTs3EV5r2wbbT066UUvE2rvga1L1yPvd8As+UmLyGWFFMWvXO3QbS/aZttZZAFJBUCWd1lf8yxG17klmUtX4kksJ7UksEOQk1ieNGGzGJduvCWeNFjD/kFMlln3k1aK7CDqUppkHfLlihbSGtPZdi6XoyWiqdURcortBwN7SD4d05V5B3lChcdsTMdaXZq0tWVjl8GSllIq6rDHj0QdNusWdZxNqpD3yg70OttTZitaQtLjhiv+Y++3vFYJSwLW8tRWoiRne4+0JSSfuYtEbN/QxCvhiW9NZpIstftS4iRi3ksCW2KJZwDSApPxHA2XxSEHPZgliXlxFmkpaEjykquzy5U9bHKEdAEi9sn2yjYhtslkBemic1mVrmu2bdWxH5jGwOxvuz9Rx0jS0okVug2SyF3JDvK/foY62cTWKeNVLtfwvFeCyuiGPV4mdOiXtLuwCInp8hJLC2yJJT7msEtJuVbS0IkF2n3kGkCk5i0tNdfArZEynR5hV2u3A7+tx2YH63gOYr8c6PSyStI1Kq02bVna8xa9alZblvLeWPK10PdJt10nLrjIX1o1LlegLa+VCkk0+tlJa1c/e610aNeeLaNJaF4cbh5cfW5enMsVjz0KjkVgxpi/BPzvyJ/JNeCfyLJs7zh1LrHExxnHkSk9IEkLyRXz0VlkrjlB0nJyBeV1sF8O+NJ1KJMl7LwyrdnbWJW+Hts2u8+SkbaiRswe7zqHvSeuJAhtzeh5b6E4Vt8nGZsrGpC1EuCyaF1lEecrzylj26lJTK95KevUbZUuyqIYmG6vJFHtopTEqcvr7Q+DogzJRfFLwBtZln0G+DbwZ45Z3xJLfNzx0DJlB09JXi6SkN/2t2uZIf2C0VR8pIUjy6aO/6HabuNekahPWmh2nlkq6u9OPracnN+ZirrG6mMHVdluHdfRrkfpJpRzSVNmLccRs/dX1lPkFpSuTe0eddUj24gqrxUU2V5pxWl3qragNenrhA57jOu8spy8Hhcpu+o8Lo5lgWVZ9ovi728A/8DxmrPEEh9vPKxMWReia86N1n6LXEGuwbfIBWUTHeRgX6R5S5LTiQuu5AE7sFmi0K44W8ZOUpb7ZGal1vJl4oHrvNptZ39bwrMkVsdNSPJ65H2T9UlyKUrXl3A9Kzs9QmZI2qQO+xy0C9Nep4a0Oq0VJa1Dl9Wk26XrLcqwdFlbx7G+4GRjYP8k8P8r2mmM+UngJ2E6wW6JJZaYi4Vlap3DXxBYFG+xKBpAE8c+PWhLApH/R+K3KyZk/0sSsdv06hd2UO4zfSVMUXxG3oeI2TFHWicytubKLnYRnUzukHARdBHke9dc0ASi2wJ2EvisO9deg3QlFsUqpeV0WD9wXVcRicksVFnWpeAcF4cSmDHml4Fzjl1/Nsuy/3FS5s+SLy/2M0X1ZFn2U8BPAbSNyYrKLbHEs45HIVMvGpO5iAaKNWeLeRqzK9FApodrd5R0ZVmLQ9Ztt7mSQewgKDP+dAwIUca+SFIudmutJBkHsuRkCcvWbQduObhKQtFWpW2H657I63PFr7Rbzabuj5i1mqX7ThO0K5NSk0GRhWMtV1eCz7xUd3l9LmtJW3lF7dD3wLbJVfYoOJTAsiz7kXn7jTE/AfwY8MNZli2JaYklDsGjkCm7vmhRyrIeYHTMy1ffqSgnt9vy2nKQ1o5c1UNbXbJul1XnWtHDXofrGnzxrZMZXOnd1mLRhJiK/S6rSMeQ5D3Q16TrlmspSrJyvejS1qcVBHCTWBEWXQVjXj36WuT5F80ydLVJlj+MOA/DcbMQ/wjwLwM/kGXZ4LDySyyxxHw8rEzZGJiGtnSK4k8yvgQH09615ixjIjK2I0lUk5d20emBTJ4jcpQp+m+PdxGHzKjT7dduRZi1ylyQA64kO32ca1CXrx9C7U85SFBFsaui5zwPmnjsMymyKGW9ZdzXZWNvOPbNa8MiZRfFcWNg/x/yV2r9kjEG4DeyLPunj92qJZb4+OLYMmUHP+kuO0xjT1U57QaDg6nf1uqRqfK6HYeRprbuXBaGTO6QbjVXPXapJX1tHrODprTaXFMLdDKDPl9RO23d+jr1OqbSwpTZezrlXZa33/PISluKEjp7UELXKSczH9Z35D3XVpq+D9IVW7QW5FFw3CzEV455/iWWWELgODKl3y/lGvRcg/U84nK5e2yZUcExsn69T6b2S5eiHCznWVUS0mqyxGYHRZdF5UoXl0TvclPq65NWZ5GFJI/Trk27TW7XsT6dDONqi/49b59eTUMvWGzPp0lWzyvU1wBHJyCtsBwXy5U4lljiGYC1oLSbpijhQsasirT6osFcTmzWMbN5FpzdLl2OMGsJ6TZrN5utwxP12BU4XBOxdVxM1mldgC6rZ56lIu+nK9FEtlO7Lu23tHCkgiCnHOj1LGW7XM/MlbEJs9enSUzHSKWCIS1beX2o7agyOvlFKwDaEj4OlgS2xBLPIFwZdNLi0VbQvHRtRHn5dmZ5LlvGxtGK1ruTsbUiK68o0cKeV19PkZWmB1UZh3O5N3VbXdfgch1qy0zvd1mx87JFJXnYbEtNIi7FwGXFyjbqNxPo1T2quAlFJ9PIc2oSK7JKXVasVVyOY40tCWyJJZ4B2FTFee43TR6uwcY1mMhVM1wDtK3bbi8avFzkpes6bDDTA7d0xR2WUm7rL7IAbD02pqMH88Puk9znur6izDtdXltZdt6ZdINai1NbaHZfkfVnSc6VbVkWZXSiiet6pZWnXYqu65Fw9ZOHwZLAlljiGYCZfBe5Al0rZsj9rriELK/nc7liOxIuN5qLvMBNFPMy1lyE5XJZFVlm8nhX2y2KrEwXQSTMptXbcvpFoa52FVlr2iqVkMqAtM5cE4jlPZErlVirzFdlijJDdftcyoQ+3sL12hbpCn5YLAlsiSWeAbjmgWkSmeeu0QOLdrfNc7W5tuvYR1EbDkv/nmfRaUhiKiJA7cLTLi0LV4bcYefVVo120cpzuVxp9neRFemKednnZOsKOOjmk8/PtRiw67+9h9qtOe++WkLU12T3S6IscjUeFUsCW2KJZwwuMtLbi46TcbJ57x3XSRyyflem4WHkJZMZiuJf+hqKJm4n6vdhg6Qka3k9+mWY8vp08opsT1F2pyQxbSlJYtOWob5PrpVVtOu4yKKWSS+S3Ire9AwHrSd7LT4H768k06JpCHB84rJYEtgSSzxDkJryPKtLDjyauCTh6BUdpDvRHiu/i9pjcZjFVRQvWWSbrt8Sodb2JZnMI/XDkjxcLlTX4sMS8vr0AF90b+wzsPddE6tug65Pxr+s207DtZqJhHYzShKT59aWZlFdCW4CPCqWBLbEEs8Q5MBQlKLsGmC1u9A1kOnVOaB4oNJlDyMLO7AWWV8uEpL/ZTlXvKWorPw9Jp9B7ko5t5gX95PbXHEtl8UlSUxPFJft1m5ZuRL9vPPq4wKm91hbaYsk4sBBRUCXc5GY63kdl7xgSWBLLPHMwGUFuMq4XHmHWVLz0rM9Zgcs/a4ued550AvpFrnZ5tWl0/i1panJSW9zZd/J1H2NIpJ0ZRpqFK1X6IIlBW0FSfefrLNIkUmYLiAcqGPmtdd1H+fdE0list2aYO21PSyWBLbEEs8AbBq9JiOXm9CWQ+zDsU9PfJ43qOlzu/7Pg7Qy5hHdYS6/Rcvqa5Vp9UXZdPpbntdFHBp6u8sC0QO+3ifbpa9BPiN7vH1vmN0uySoU5YqSO7TFpK9H/5Z1HvYsXXUeFUsCW2KJZwRFK8zL+BaqjP4tB0Pt0iqyhnSmmovIXIkLEtoKcJUtmiKwqAavycoFTdRFLjK7z6UQFF2jPNbeE22FHDboyyQP/WykBSz/axeoKy5nVwApsubmXYuEK+nFnkMTr7yGh8WSwJZY4hmAfOeKHEAsqcl0bhdxuaATOvQ+16oQmiznBfMtJFnNc6UVuQNdOCxbz0U+2gpzEbauw6UUHGZBFqXG2+3zrDBZNuEgoUl3pyQyl0LgsrhloggcTMuXsNaWbLfO5nR5A3TyxnFIbElgSyzxDMHlKnQN2uDWhLVFcFi8SdZr1/CTx8PsAOiKax0W2He1WZdzxbfkufWAWUSQFtoaYU79Rfe7CC73mozdLTqwu9x7LitTJurI5A19n13TEiyRaaJyWZCuKQAui0yT2XGwJLAllngGYCcywyzp6MHfZYW5Bl1XzEvv18kPejVzF47rMrLnK4K2lOQgu4gFN48A5hGr3q7PM49wXeeHw114tk1HIWfXPheZ6OQcvfiyq42umNi8e3QSWBLYEks8I3DFn/R+OEheReX0fle91k112Kri8xIbXOfWSQGuumT8bREUudBcFo+tW+4rmthdZCHKbfL69eCur+8o7td5x8tzW2hSLCJnaSnLb60QwHSxYRcp6+s+KeKyWBLYEks8A8goJq+iQUNbabqcy4rT9epFfiVk1ty8/UU4iuVUBB0LKzqH/K3X53MRnE6BLyLwRWJ58hyuY48St3TVs4hLU7v1tIvT5Za1GIljEmanQxS9ruWksCSwJZZ4BpCxOHktkkI/73hwr8bhQlHCwiJzq+ZZbIu441zQFsdhA6orrgNuUpy39JZ2yblcilB8HYsM/PMWCXa1x8etZBzmOtbn0v1Jx/LAfQ/haMqIC0exwJdYYomnCC6LSg82RbEu13Z7vF4uqWjAW8QamHf+ImgXZ9H8Nl1mHuS90POqXG10WVyHnUO75IrcjUWYR9que+1yz0r3pL5WV3nXtcvjXLCWuZ3Qrq1ZfR3HsciWFtgSSzyDmBfnOsxl6IJrsuy8gWeeZqxjS7qsKwZ0mJU1L83fVYeuTw/s8vxF791yWbKLxK/0fdMW2SIWZdG0CNe5tfvONSVAW2LWhaiJ2pWO75oGIdup2yDPc1wsCWyJJZ4hLBrHmhfX0pDzweS2okF6XraeXvGhyBV1FBSRkev8846zx7oSD6y7TV73YS46cA/48lgda1qUxFxtmEdmrvPpe58yXaleHi8t3EXdrbasPp+rDx0nM/VYLkRjzL9tjHnLGPO7xphfNMZcOE59SyzxccdxZKrItbYIeWn3ltwu61jEHefCYaQyz5WkB0ZXPfPcobYO1zW6YjqyTv0iT328/V/kBl3Edan/H+aeLXI9Fl27XCT5sAFfuoddazXac7ne0q3bpP8XWW7HscSOGwP7S1mWfSbLss8CPw/8G8esb4klPu44tkzNyx6cN1hId5GOdcl652Ge9TVvsHERnJzcuwiOOhAWkbErKWEeGYWirMSibjJX/G7RuNhxY0j6HPI6bbxK339pJcp4l7xXss55mJfMswiORWBZlnXE3wazK9osscQSR8RxZcoOPjp4juO/PEYTlU5gWCQ+dpjLq2iFieO4kCxcGX3yt7bQFrWM5PXLLMOUgwRYlO7uIjZXO/V9XsQa0+0p+i/vv7bEiqxAHbdyQVur2ipzuZ51u49DQseOgRlj/h3gHwP2gR88bn1LLPFxx8PKlHb3HbYagstScw26hw32RQOQKz5zFPKScaDDYkL6XEXncLkjiwZRVzxRt6No8A8c24uyMg9rz1EsrHmxt3lzsmSszz4nmVyySNwPpopTteB889r8MDBZNl/BM8b8MnDOsevPZln2P4pyfwaoZln25wrq+UngJyd/XwW+9VAtfnicBrY/4nM+Liyv9dHicpZlGw978FKmnkosr/XR4qFk6lACW7giY54H/maWZW+cSIUnDGPMV7Ms+/zjbsdHgeW1PhtYytSTg+W1Ppk4bhbiJ8TfPwa8c7zmLLHExxtLmVpiicVx3BjYXzDGvEruxvwQ+KeP36QllvhYYylTSyyxII5FYFmW/f0n1ZCPAD/1uBvwEWJ5rU8pljL1xGJ5rU8gTiwGtsQSSyyxxBIfJZaL+S6xxBJLLPFU4mNFYMaYv2SMeWeyVM/PGmNWH3ebThLGmD9ijPmWMeZdY8y/+rjb86hgjLlkjPmyMeZtY8xVY8yfftxt+rhiKVPPBp5WmfpYuRCNMX8Y+JUsy2JjzL8LkGXZv/KYm3UiMMb4wLeBPwTcAH4b+JNZlr39WBv2CGCMOQ+cz7Lsd4wxLeBN4O97Fq/1ScdSpp4NPK0y9bGywLIs+8Usy+LJ398Annuc7TlhfBF4N8uy97IsC4H/mjwN+5lDlmW3syz7ncnvLvBN4OLjbdXHE0uZejbwtMrUx4rAFP5J4H9+3I04QVwENsX/GzwFHfC4MMa8AHwO+M3H3JQlljL1TOBpkqln7n1giyzTY4z5s0AM/MxH2bYlThbGmCbw3wH/vFoEd4kTxFKmPj542mTqmSOwLMt+ZN5+Y8xPAD8G/HD2bAUAbwKXxP/nJtueSRhjyuSC9jNZlv33j7s9zzKWMvUAS5l6wvBxS+L4I8BfAX4gy7Ktx92ek4QxpkQecP5hciH7beAfybLs6mNt2COAMcYAfx3YybLsn3/MzflYYylTzwaeVpn6uBHYu0AFuD/Z9BtZlj0zS/UYY/4o8O+Tv7ngP8uy7N95vC16NDDGfAn4X4GvM30bw7+WZdnffHyt+nhiKVPPBp5WmfpYEdgSSyyxxBLPDj7OWYhLLLHEEks8xVgS2AnDGPMTxpg3jTFdY8yuMeZrxpi/4ih31hjz7xtjrhljxpOyv2iM+QdEmb9mjPmq+P8HjTGZ4xPr+h8HjDGBMebfNMZ89nG3ZYnHh0kfcPXTX17w+Bcm5X/sGG04VL4WrOfM5HpeWKDsTxRc97sPex0niaNcy9OCZy4L8XHC5G/Q/beBvwj8q+Rv1v4e4P8A/Aui3KvAl4E+8JeBt4E28EeBnzHGfCfLst+b1FVznOrHgffE/yfFDxwAfw74APjdx9qSJR439oE/4ti2CG4D38dDvgvtCPK1CM6Q9+lfJe/Xi+CHgKH4P1rwuEeNh7mWJxpLAjtZ/LPAf5xl2b8mtv2cMebfUuV+BtgBfr+aa/Fzxpj/ENgDyLLsWsF53sqy7Bsn1GaMMbUsy4aHl1xiiYURZ1n2Gw9zYJZlY/JVPQpxSJ9dSL4eIX47y7LeSVW2lM9iLF2IJ4tV4I7eKOfGGGO+n9wq+zOuiYJZlr2VZdn1SdkZF+IiMMa8aIz5H4wxnYkb8+eMMa+oMpkx5l+YuFi2yDOPMMZUjTF/0RizOXG7/N4kC0se+/dOXKT9iVvmN40xPzDZ3Z18/+fCffLCUdq/xLMNY8x5Y8x/Zox5zxgzNMZ82xjz540xgShzwIVojPnAGPP/Msb868aYG4Bzku0R5etXjTH/rTreuunfmPTdr092fdn26WNe/2eNMX/bGDOYyM/PGGPOOq79x40xP22M2QN+brLvlDHmp4wxd40xI2PM/2aM+V5V/58y+YK8Q2PMtjHm14wxrz+Ka3kSsLTATha/A/xfjTHXgZ/Psuy+o8wPAAmwUDygAL7J56hYpFmWpcaYCvC3gQj4P5GvjPBvAb9mjPl0lmU74ph/Cfg7wD/KVJH5b8nXf/tzwDXgTwD/kzHm81mW/a4x5uVJmb86Od66SE9Njv8h4FeAPw/8wmTb7WNc5xJPMVQfhbzfnya3jv4FYBf4JPBvAhvAP3VIlf8IcBX4P1M8dp2EfFncJnfX/wzwfyGX70Wg5TPJsiwzxmyQu+++SX4tTeAvAL80kbFQHPOXgf8e+AeBZCLbv0yuJP9LwD3gnwF+2RjziSzL7kzI+z8C/g3g18ndpt8HrADvPuS1PNnIsmz5OaEP8Bny2FRGPpfiKvD/ANqizH8E3F6wvr8GfFX8/4OTuvXnz0/2/9PkpPWSOOY5ICTXSO22DPgdda4fnmz/AbX97wB/Y/L7HwDuz2lvc1LHTzzuZ7H8PL4POSG5+umPOMqWyAfzERBMtr0wKf9jotwH5IRSPeTcR5GvXwX+W7XNytgbk/9vTP7/wQXq+4mC6/4/Tvb/BXL3pRwPvndS5k+qa/9ZVfefmsjxJ9S9uwb8pcn//zvw5pz2LXwtT8tnaYGdILIse8sY8yngDwN/D7lF8q8D/7Ax5ruzqV/8uKb7P0zecS1uTb6/SE5MDxI8siy7YYz5u8CXVB16guKPkLs//67SHv82uWBC7oJYMcb8dXJN7u9mWdY/zoUs8cxin7xPSXzLGGOAPw38JPAiuRVv8Ty5pVCEv51l2QgerBzhi31ZlmWJ/X2chp8Avp/ZJI4PJt9fBH4xE67NLMt+0xjzAbl8/lfimF9gFj9C/oqT95V8/hrw+cnv3wX+ojHm3wN+lnxSecgzjCWBnTCyPAD9c0z91n8K+E/INai/Sr4kzYYxpmqF8SFwNXMncZwH7jq23wUuO7ZJnCZfsDVyHJ8AZFn2LWPMHyPPsPybQGSM+VngT2fP2DJCSxwbcZZlB+K3xpj/G/CXgH+XfPDdBb4A/AfMkpkLss/+AHmmocWvkVtPJyFfx8XXMncSx3lyr4zGXaZueLlN4jTw+3DL5zWALMt+2RjzTwD/HLmS0DPG/H+Bf/lZVTSXBPaIkWXZf2qM+YvAa5NNv0ruVvxhDmpZx8Vt4HXH9rPkcYeZpqn/O+TC//fNO0GWZb8A/IIxZgX4UfJldv7f5FbhEkschn+Q3G33Z+0GY8yVBY+VffZNcuKzsAlEv8ri8jUin/ohsbZgWx4Gt8lT2TXOkl+PhEs+v0oe99IYPzgoy/468Ncn8bY/Dvx75PfmmXyb9JLAThDGmDNZlt1T2zbIg6h3AbIs+1+NMW8C/09jzN/J8pfHyfKfBvayLJPvIVoUvwn8Y8aYF7Mse39S30Xg95PHJebhbwP/ItDLsuzQ+TdZlu0D/+UkA/H7Jputu+IwTXqJjy9qiAF3gh8/aiUTuTlg4R1Rvm6Qu/sk/rD6f5J9+jeBf8YY07LtMsZ8gTzu9ZVDjv3bk7Zd12OMCxOPyH9sjPnjgFUQnjn5XBLYyeLrxpj/EfhF8iyhy+SB1QH5Ss8WP07u/vjqxF9tJ1r+PeTZg9/L7Iv0FsVfA/4V4H82xvwb5K6/PwdsA//xIcf+EvC/kGdE/bvkro428FnywPmfMcb8U+Rk9bfI426fINeofxogy7LQGPM+8CeMMd8g13Dfetb98EscCb8E/HPGmN8kd339OPDK/EOOjEXl62eBPzUp8wvAD3Jw8vV18njWP26M2Qcil2t0QfwVcgvqf5nImM1C/Dr5a0zm4afJk7R+1Rjzl8mTxdbJ42p3siz790w+3/QUuRW6Tf5Syh9gan2d5LU8GXjcWSTP0oc8PfUXyQf3EXnw9r8EXnOUPUceE3uPXCPdJSeQPy7K/DXcWYhvzGnDS8D/QO426AE/j8hcmpTJgH/WcWyFPO3+XXJt7Q45Wf3oZP/3kQu6vb73yWMZFVHHHwbemuzPgBce93NZfj7aD7m1v12wrwn85+QusR3y+PCPyX5NcRbiXz5CGw6Vr0m5P0NOZl3gvwD+Xi1j5IT47YlMZHPO+ROTY5tzynyOfKrJgDwj8b8Ezor9B65d7FuZXNPmpC03yFPt/8Bk/4+RW2pbE/n7Fjl5maNey9PyWa5Gv8QSSyyxxFOJ5UocSyyxxBJLPJU4NoGZfPmh3zL5skNXzcF1/5ZYYokjYClTSyyxGI7tQpxMKGxkWdYzxpTJs2n+dPaQC3kuscTHHUuZWmKJxXDsLMQsZ0A7aa88+SwDa0ss8ZBYytQSSyyGE4mBGWN8Y8zvkqeO/1KWZb95EvUuscTHFUuZWmKJw3Ei88CyfA2yzxpjVoGfNca8kamljowxP0m+/hnA9zyO7BHDw6mx5gTKF9WxSN1GfR9Wx2H/F9lmF5rzHWUMU81H/y+qz9ZlVznOmL0ue/wiz8d1P+Tvojrk6qpF+zmkDMD1PEV847B2HgdHlakKfM9F3M/V3nM4eO8y9dtVznWfXfXIMnK/vK+u4+SxmdjvOq8tb/uMbudhfd9z7NPtLTy46GQZ7pPrC/NUo11lDe6LmXdx8qbI+vRDOGwgKcJhQqn3ZwXb5X61783Bw8nUiafRTybQDrIs+8tFZXxjMtdUcD1YPgp4TIX0qMcdBr/gtz3eV/9d5VzH22Pn1TmvPp+D7dflbBn53Zp8ZNkquT+rIc5r/9uVVNPJcdFkH+SzK6vkk19Gqu1V0b5I1FEW2+x57PZ5123rSMQ+b3LeAcWIJsckk/PIviLP86fyFb8/f7CGR4NFZOplY7K/MPmtn23C9NoQZXym12v/j8R/izIH+2NZHGPvkzxOPlMm59d1yrbJcuGkbFWUs22212H9qoFoS1mVt8dIyDpt+wKxrQwYXUA22l60PJnsJPqG2H0JUCefTu2J4/TNkw3RN97u0wIdMRUMj+kNdQm+vVgpHFJwJWTbEtxI1T55vfO2y3MlYL72cDJ1ElmIGxMtEWNMDfhDPOSrwIvu0UnC9pnHjYch0aNCDjB6u4YmLy07+viy+DQm2xrk8lGdfOqT/fXJf3tcVfzXA51FhelAWRfH2HbpQdQFeS6Yf88T9W3bZI8PJp+PQsk6rkzpsUOOi0VlEqbrDKH2SWK3Y4/cJskxUdvt+V2kKttnYfufPd4+s6JxUqOoXtd+XUfhs9UXIAmoCIsI3WF1+OJbH5862iQ1riLB9zg40Gpt0P7WN/0wSLI7AnkdByfhQjxPvnikvT3/TZZlP38C9T5ROCrxaS32qOXs9qOc01ffOI53nUuSgixXdKxV9KTyZs+lSQNya8wjJwBrCcn69KAjLU6rLNqyqdqfqHqsdu6Sd9cy3nK/bIO8/o9C2VA4EZnSfUs/LygeZ+Qxui67f4zb6pHli+6dJCZ7n+XYZts6Iu9LCdOxV9Ztt7s8CnDQ4+LqF7YOAL9I4LQpqIXMdaGy0+pOaS9AHyvNYX0hrv/6XK7fsk7XA7XQ7obDIAmuiJSKLDJd7iFxElmIb5Evj/LUwNVvPopzwmyfOSlr8LA69EDv2q/Jy+egxWGVPOnlsGUrTK0wn9xqgqmrUXplrGtRu530uSzhudrtkm/ZNomUKWm66gmZEuWTsMrpo5IpTWCJ2KafhR707f+AWRKx9UmvlD1mESzS/61LUY+R5YL/0ju2yLnksVkKRgqE1Ki0TzplKsT2vyQmffJ5DSrq5IvGLrT15Kpz3vm0G1QSThHRuAjpMPLSWtIxB+GP7WK+D0Ni8wjno3AtzUMRCbi2S2jFcpHzSGWyzpTsPPHfuvusRebqt5JUZJ32HDou5oJ0fdp65Xnk7yJL72G8JU8LtEIfkBNCUV/W449UvFKmZKLLSvKzllKRt0qO/ba8fNYua8/VTml9zfPQaTnX/21bfPHtNFdlozzHb/u/yEqyN0QKnW6YvUHypkgUaaK2vZoopdtEW1+aqCR5FVmULuJxxcmkQD0i8oKPMYHBo7fEdF9zWWGPCosqbi7ra17ZcsF/G6dqkFtj0eS3jYPZ92fYcw2YlWdNjDrObOGKlx822I2YjcdIa9BFeBqLlnvcOMyidz1bOXZppduWl6RS9Ew8UUYSgjQG9LFyjNPjdZHsyGu057F9SNbluj6LItfmAW7Q2qA9qSYomXFUFJuS27RWYY/T59YkKs8rtT2X/1s/SLndJTCuNspvTV7692HkJeuVQry0wD5aPIokEJdSdRySm+ce131WDjAuudP/bfKFTKJoTX63mJIY5ETWZpocYLV/STyBKKsVRy2/MhtRW5ZFxCJlpeLYL91ntr4nmaQOwyJhDPscNPQYJeON8xTyeYTgsoRh1ggJmbpuLRFpN6U9RxFJScNmnsVuy0vu8dS2uQIkCcllobkaabWmgNmB3dXJ4aAwakuprI5zmaHytyxfZH0dRqbHJS/t4jghy+GJI7AiC/lR4aRdiRqHXc9x6yqKEVGw3dXHXeTlSoQoKl8mJyprcbUm21tif4OpJq/lrSgRwEJe9zx3kW6rjbdJq0tCWlWHPSNb7mmBTo7Qz9dnqhAUbZdEoEkqYarMyPolgdp65D497ur2zjMU9Fhv+5J2SUoLUEJ6x+y55T16kDDkulkWNjAsWU+7ATWKiEWWX3QAOkyoXe1xaYb6f5HFJLfpNh7F8tI4IbfXE0dgjwMfZVLHUd2I2j1jMY+4FkFRwgMcdA/KJCrpQrTWVpX8RUUNplaY/VjtekT+wiUfWGV2EJEy5er3No1dx25cz0vfFz3/SWKerFp8lIk+Jw1NYhJF91sr5kVGhkf+TOW0In3f7fEps5mELuNBQieE2Hp89dtlmUl5sfXLb32d9vcMbOqjc6ejEnkSPaC7XIgW+lj7LTOJpJYXqW0+uVDIbCdt5ha1v+ji51lQReVc/+eV1W04Bp5IAvuorTA4Ookd15U47xof9tqtYnhYXUUyoo/TbjoXiVnXYYvcCqszyURsAinUJp00GE819hFT66xIjux1VOeUkeWKXPiHuZMO26/re1JxlOUI5vVxaYVJMpNkIftYqP5rT5Qd02UmoSZP7VlyWV/6t9xmOaLInamJz1WX7usLDUI67VGbfdass8IkBxhtBspOLi08+1trr/J82nR1lZeas762w6wmbXrbbB65v6gOF9HNO9cR8UQS2LMG3V/0IOBydxwXRfVpy2teOflbrnhgictjSlhtcivMZ0Jeq5ODI2CUu2Wqg+n5pDvR1T7XQKNdWoH4r2M6VjktssCKYjaHlXlSkTGbISjddq577CISC/uMtcuvyBqz0yLsvQ44iGjysRPXXdaUbVtRG+3YqT0HMplDts0eJxN+5mGmjH34cqa9rVQLh2yw1oI1CWlfJ2K7LHtYQ6Uw2BuuSVC31aUlHtbJXZZXEXm5ji0irxOyUp44AvuoLS+J41hhj8Nq1H3zMOtLx570MUXuTbu6RoNZeW2R85S1wKqAaQLrTE2s/uS7OiHBwVS5nHDbA8iUe30tcimieVnIcts86yrh4Dgzr+wi5R4n7DqG2jUL8xM7JHnI+yE9Vhou956tS49v8ryW7LTLWLv9EGV0GyQhaZLShIvYXuQq1XUH+ibpE2q/t95fxKI2g6joxnpivwwI6rokMVnNwSX4RTdE73dpJ/NiXpq89H7X+WRZe/wJDZZPHIE9DiKQeFTxMNd1aZeGS3N14bD412GuNlumSDPXCqaULVlHY/JZZUJeZXLyOsuswNkAVpKvI1obwSidypdcCUQSlXYdWu3bNUAhythj7bp6Got4MYrKPM6+OQ+G2bFI3pOi/qC9Skfp9/q+2LCRdDPK9sgMQTkR3u73HPulCxMOKhyu5bF0zM9TZfV9cfHNjHBYIS168LISrTHMVMrszZFWmNTMXAOFdClq2KSSRJVFfOuHqjXfRclLEq/WCjR56cCkrPsEheiJIzB4MkjsYXCUdh8lhnZY2UWsL7ltnpfCkmMgysJ0PpdVEK2RtUFOYL5H7kO8PNlgR9EqU1NLMLR1J7qWirL9XBO6HnAtimIjRQR1FOvrSSUsF7S7r6g/FvUVPZhbhaII+r4NyA2NgGIZklaVy/qH2eWjZF2p+Phiv2yPNGBglkztdY6YPffMfZI3TCdBuIRGB4RthfbEmmWLiEhqcrod9r9OG7UCaevUpve8drsChXYlZ9fDk774w0xaTV6yM7q0+GPgiSQwePwk9iisMBcWuU5pcR1GVEUDlh2QbMJSEWw5TxwnZROmqfIbk9++9Seem3zqTDtuCnSYjoaT7JFaAv744DVJj4jr/hdZXBo25qLhsqzkAO66f09TLMxF7vK6rBEg97u8X1Ds7SoauyQ5yf7qMgBkn5bHW0hLTI/PLmgLS7dbhph0WEZbaTOQnaMobVeui6atG6mZSb+oS5DlPDELFwlK9naRlr7p0vwt0v5sR3F19nnEpuvR5OVygRSVfwg8dgJzaX+IbY+LxB6FFfaw1yP7/iLHL6J1zzvWdR6pIK6S89QpJqGu6uTPS5MdLabLX0xchzPC083/B5Plxq08u2K+Ut4OuwbtPtQk5XQXiWOeZvLKmPXQaHmS45R+vnKb9n5JN968fu1SKmR9rrwFSShF7bVlpdUm55fZOnRyh+v5HtZ/EiCLxOtUtPuvCHJmuDUZixbftHXJTq1jWfLbRWz2ootiCS6NRL9jSJKcFRgdULbXMe/hyP/yIcuHWmR16XIPgcdOYPM0QLn/ScSipHAY9OBSVMZFKtId6CIeqcAddh+1Emfrtu5DS2LnmLoOTX3y5wXgwuTTmlSyRZ7E4ZOT3B65QAitJYhyS0ymY0sPjBygEtwKm+u/fv+UVIQPwzG9Go8N2sJwEbi8h/OURwvtfptXTr5iRXrTNFm62l0Um3LlR+ixV1/HIuPF3H4g2U7Hq4pcILKBclkR+y1vpPxtO7f9LkrIkOV9Uac8rx4AirQDDZdQafIqumH6ONkJbBt0eU2cx8BjJzCJJ5HEHsaVuCgRHSUOZtvi+g0H+65OvDjMeitSNq0CaAmsQc5XpxAZh9b6eoE8gaPF9OL2mQYqLJvuk9+Ifl5ODlIuj8OiSpp2Pc5T/FzbNZ4W66sImsz0QO8Kg5SZNR6k8iCPLYKuUyfdSE+bNgrg4DMsi/LSEjvs3PM8fy4Pmvb0zRXSIqtHmqrSje6Ci/h0hpXUTiU8td+6E3Udi7r+XEKnY16yvOt3ynzy0nUd0/KyeGwEVjSYPmkk9qiyEiUW0SAPs74k5pGXq7yL+ORxdhm3MrmBdRYImuRMZq2vT092yrdPngJukbsMTwE7TK0wWy4CU4GyXe23AC73nxzY7H8rR0XHL7JOHjy95KXlpMjKcv0vumY7Ri4y3ugy8vz292GJIbZf22dpQ0yusjp+ZeuWfV+7F4vOO/NKFblBCpAlJdc6WvLGl1V5vR+mRGRfZy7rsZ9Albfz0uR2OUHTXsy8B2Y1ATtRUkOm7x5GXjLo6CIvTXKyfScgZE+UBWbxMC6BR4mHuc9HdQceBy7rSsuCJqZ59Ujlrszsm5XPAbU6cJGcsM4B3wW8Su5TLDPNq4ec4DbJrS6YCr9dg2qEM14gk7Vc12c1Zdc8oSIrrmgQdP1+WnGYYjivT0rojOmjQNZlCUh7ulzuTfucrZd5UfelRsRsfoPlIhlLnkf0Hhz9ouXJ7G8Zu3KdTGqI0vdqBU8KrtRAXctc2W2aHHRSRVmVcVlGRQLk+g0HyctVRpvx9nzHjMM8kQRm8biJ66PGA/eFgn7G8565JJ95Vte842UKvV2H0CfnrBcq5O7Cy8Al4DXgS+RE5ZNbWlXAnAJiWOlMK++Td/YW01zpCYmZSQf309kBZtEkJWlhLequf5ZgJt9FSp8cuBeBTKqRY5Mr9mTLS6VDfksCkeVlnXI8tXkQ1oixy/0hyts6iiwrySMumdJkdpiFNtNwTUZFbg0PdyPshduZ+3a/y+qTD00KozxPRZQrsr703IIiC+2wFN+ih1bUsVz++hMiL3iMBPa4XILHwVFdiYteoyw3z+qUBOfyWljoFGUX5h1XFh9pfV2BnLxehe7zAZvn2vQuBTTLIZfWGrRadrkBK5UxNO/AhR0YQPd+wOZ+m94ooBmGXPI6tPxwZhCwBAZHj+/Ocx8e5bk9re5DOdYV9T1tCbnK2v+ROkYrE4eRoRynXWnt2jWp2yFfsxKqfSnT563Hc3kuW6eWMckVeukyH/KpIQmz5qMkFXmBPrMM6Ktji2CXuBEX180CNvttemFAsxJyqdWh5YVTtpbCXYZuOpGpKKBJyKVKh5Y1obTGIC/eZX0VzfwvsqYWIS/dYVzkdQyBO6lEuoeC67ofa4MKIBUpT/1/WOi+8zBwWWbz5kIuAml1lZl6+i4AjU8B3w3dzwRcvbRB9N0+K683iLLfx9WrP0i3+3ngdfLMjubkcw7WoVsLuHp3gyjwWVkbE/k+V8MNugRuH+EC0P3H5f1wWQ+u40/ieTxOuBbzTXB7d/TtLrr92gLWY6Amn6JPJD7zDIRUlLfkZD3MY0c79DXafdK6o+C3vh8HMtJdef/65Ha/JjJtRekZ+VZI68ywaNcEXO1uEGU+K5UxET5X9zfopsH0OCuYlZy8rnYm5YMxUepz9f4G3VFwuEUk97uCnK5kC018i1hekuxPmLzgCXAhujRFFzmcxED/sHUcNVtwERSN19qNqAVrXhLGIu7HovO6rC/7mpRV4Ht+EPhjwGXY9NvUzsUk/nNcu/ZFBoM1PM/H92O+8IW9yZHbPHgPs7nA5iCkth5TK8UwgFo1hgA2+22ueNtzb3CRJaYVvHkWmytW5vr9NEOPP7rfSyPC5U3QlopeWAJmxyN53kVia9ItLM9ZVFaHcezxUoFMmVpqPgd5ZxFo48qDWR+qtZCK4lKWReVbWavM3hiXuWuFbJSfazNsk2SGm0mLQadMvRyxUh+xOW5zZW07LysSNjZHbWqVmFo5hohcthLY3G1zZWW7+GK1MBTN+pcEpd+Pc1TLC9zEdVT3iMJjJzA4eB+KMuuOcp3zsvM4Yl22/KOwDufFt+aRl2vfYa7DRckrHwgCyrRpEHDmcyHdH+/QeiGET0Pvg1fxvYtce/cVqtUWzWbAeOzx1lshr71WodWyjh8rRKfp+XusrPdhCNSAAKrlmP2scmTrq+jZueJfR5GPp9X60tCDuMdBMljU6JVxJv02gCIlQGfuyrKuZaRku+yxMqRTFWVkUoh2N+p1bWUcTca85pGtL8rOXLz2Rcr5AZLU7NJpDsHtjgM2B21644l7MJ24+xpAB+5Gde4Nm9SCmGY5JDQ+N0ZtQjyu2HixsO56acBKdTxdyTmEqonZjyvT8+qYljaBU2bJRJeDg2SziOWl63PhmOQFJ0BgxphLwE+TZ1dnwE9lWfZXj1NnEVkchcQOI5yiffPqfxgSm6edyjq18CRzzuWKIWvXoSsdXkK67GXafa7JBjTZ4PsrMdU/NGb0pRJX2eD5l/fZ2/7jvPfeS9y9u8bZs89RqTTJ14rqcOpUwubmaa5cOUfuRrxPTmIrGLPC2717JLse9V7EuUoPv5zRLIULP9R5biHXa1Nc7qKiep4k8joJmZJjqyQU6dazHiltKGj3miUOKX+SbFzQ50T9tn1S1iGtLK3E2/5tn7MlNau4SXKzCNV/ew4pDzojPbHHuHys9kT6JWi6HKK8jW3FAVdHG9RMzEplzKha4upog+fL++wNq/RGAVcHG7S9kNXKGMpQCRLGsU83q0xf92DrLoMpZ7y9c5pk7FEfR5wzPfwko1kJ57s6bR1acFxuw0XIy+WWXGQRzRMQupOwwGLgX8yy7HeMMS3gTWPML2VZ9vbDVCY78DwrapFrfxjCeRJicAkH3eYuedLk5fJuFLlnJeFZIa4wSZOnzfcRU/sDMXwv1N6IuRec57/4b/5JLl48TxCscueOz2jUIghO4fvrjEZDXnmlQq83nNS4D9wBPqTbvUunU6OXQnvtLuHQ4xujDS5Wu3wxuHUgcLWoS0/Li8tNKBXMecc/YTi2TEkiKrpOa7FKBcqlbNkkDEk+0qLSCpMd513xs3nPwxKUtMZw/JaEq0lOt8PK0qJx6wfX79Ig5YXqwUVqnjqoVobNYZtaEFMjhgbUGjH3unX+i/ff4GK9x6oZQRk+HK0QpAmr1TFj3ycNDK3qxEqzF1WFLgEdr0IvCmgzJow8vtHb4GK9yxdP3Zo+TLuUmwvyoRb5b4usMph9kLKeeYOz3n9MITw2gWVZdhu4PfndNcZ8kzzj+qEITMIV80Nse1Qk9qhxmOvGZUF56rckL9ckfH0e1z5LXNZ1eAp4BagQ0PiuMXwP8BnonX+B3/uVv5c4Ps36+nl2d2sMBn329/vs7MR84Qvn+MQnLuP7hlrNB9bIyesscJrNzTc5fTphbe0ed95LGdwt02yFtIdjWrUwX8b8IWHlQU8l0y4rvV3iSbK+4OFlSlruOu4lCcqlQHvk97BoPUHpMUvJ+42957K+w2Kusj12VXjtpXAp+SGzbbdGkCQ9mLwNfPJbv3tMW2hSjlxtfbBRC6SFHly0eSn29bKAlWCcb1+BXlrm97pniI3Hem3I7qDCh9EKJZPx9v5pPlHfZf3skI1Gh1VGuXaZ8mABgM37bU63hqxlI+7cbjKgTLMe0g4mMmVvkmybJA/tb7e/Q+ZrDrK8vF5d3jVAF9X3pMTAjDEvAJ8DftOx7yeBn4TpnJUi6A5dRGRHjYs9DZhHtlrAtCtElinaLl31VmO17/S6NPnUaiGj10rUXo/htZe58+6PEkXnOH36LMNhm+vXR3hehU5nBMS8806Xvb0UzzO89NIavd59ms06ly59glbrHHfvxgwGFYbDmHp9j5devUOjFrHfqcxmbQkcZj1oJe6oxPQkug5dWFSm1ifbtPtZjzGyjLWGZB9xjWkyvqotHnsO6Tkpgi0TirLy1SmaxPRxcsyUYSb7bd2I+pyucVdes67HuISmiOlkGX0R4oY1SyGjtEStEkMb7uw0iUyJ060Bw1KJ68NV4qrH7V6ddjImiGPGqc+duMFLzV16+xdoNkMurXRoBSF3b9UZ9AKGu2XqpYiX1nZpMJEpmF1JQz8U7a6Q6aH6JqN+S7+wJC7tU3aRl1477AlxIQJgjGkC/x3wz2dZ1tH7syz7KeCnAHxjXFm/h8JlTS1CYo/bCtMxBg3pxlm0nXJQ0Qkdh1lwkyzcB/OIV8kVuzr5QLj+Qoer37UBny1TzX6E3d0XKZebtNstNjcHbG+ntFpNOp2Ymzd7bG52WVkJWFur8eabN1lfb9BolNnYaPClLz3PnTvPUyq1aLViwnCXd/dCLiYdgmrC29Hp6RwW06FO+ECrtveuyGthMXJsd5Fakev+ScVRZOqFApmS1peGtKpc7kE4GKOS98w+J32Mvs8ytluk0GsvglbmI7FNnleeI+FgeGrMwdWYLCJmJ+0/uE8yFddlgenB28W8UlMELrU7XO1sgAdVP2Y3rFIOYtq1MZv9NttpjdapkE6zws2dNps3V1gZD1g7M+bN+CzrKwMaQcJGb8CXPnWdO1GLUpLSqoeEez7v7p/iYq1DkCW8vXM6n0dWmswLS8LZ9skPuK2uogdaRF72mouSOE7I4tI4kXHdGFMmF7SfybLsvz+JOovguvZFLuJxD1YP4+rVMQlNQta376uP1i6tHAbk1laLKXFtkBOX3X4ZaP1DIa//+Bbl8g+xv/8JWq3zfNd3ncUYuH59TLVaYzAYc/t2h1arRJZlvP/+PjdudNjeHrK5uUe57HP7dpef/unfpd83fOc7Ae+++wXi+LsxZxp8a3edjqkQeT4r5TFR5nM1m8wLW+AeWLgUzEcZ+zqmy35hHEemiqxvxPYihcpFdvZe2r4lwyoe8++JHgvtOe05QnKSscvy6bCMVE4icYwcg2XMzNZhf4eiDk3AKQfH8gc7LHSQ2eX20NCNCqBVDXn9zBblSsJ+VKEVjPmuc/cwJbjea1NdjRi0y9zOmrTOjMlKGe/fXeXGnTbb/QabvVXK7YTb3SY//Wufpp+W+M72Kd69tUY8MJg441tb63TGFaLYZ8WMiUKfq1tiXlhE7q6X2oC8wUXkpbUYF3lJgdPb5YNyCeUxhOokshAN8J8C38yy7K8ct75F8LRaYofhsNiYLCO/9QBfRGLWbWjJqsU0DmYJzbwIfB5az3+eK3wR+Dzdbp2rV3cBj52dLYbDXfr9CN/3GY9Toijh/v0+u7sDarUy7XaVIChx+fIqb799n7Nnm7z22lnee+8uv/ZrL3H27PeSmt/htY371Nox9KBmYshgkzYv4Z7DYrVkLV9S6y5KlDoJfITk9UhlysqBlRdXXKzIqkrVPumGnGfF2e0uJOQkVsFNMDY2Z0lJZ6rb1ZVc1qT9r5ej0p6LA21z+RZd/lO5f552XYZWK+RKaxtaeUr91c0NGo2IX797gQ8GK+xEdcJymZ5JiDyf+/sNdnt1aisx7REEWcLls3u8/a2znK31ee3MNu/dX+XXblzmbNAjNfBa6T61KAbIE0a8yVzL9vbBWe2asFyaIGKfPG7RY6x1Z++DFtRj4iRciH8A+EeBrxtjfney7V/LsuxvHqfSIreHhSsutiiJ6eM+Shx2XRZ2oICD16jnU8p9UjDtb0tcAfnE5Kr42P0t8gxE/ijwowHwJ8hX1Vil1YLnn2/yt/7WTUqlCvv7Xfb2RmQZ9Hoh5bJHGKbEcUoYxpw+3eD27R69XkS1WmI0SjAG4rhEvX6a+/evMB7f5stdeD7rsp4OOVfu0RhF7FLhKJgnAy53/CPwYjwKPJRMucbZIplwkZg+Vo/LLoXb3mOZICGVdp1QYr9t/5R1WhLTc2al18qWlyGnkNyLYK/Xda22PqvsFPUb3xMFEg6+DwYOkpdMf5RrFWpBFytvtFZCXm9u8eaH5+jEAVthjV45gEqLD+82qccRYeQRh4bQ9zl9PuT2bovefplqkDAyZcwqxL5PvRxyP6wxDn2+PHqe5xtd1stDzlV7NEzEfliZmrjSDC0iIm09aRTdvCKXoYu8LBYZDOfgJLIQv8LheRkH4BKYh4EmpCc1O/Goz6mobdrvrzVJ+1u6GO3i79ZVaEmwzKz78NwK8CMAPwy8Rre7zjvv3OPatS5vv32fDz8M6XRSkgQGg5D9/ZA0zVhfr1Gtlrh/v08U+fR6IY1Gg93dHq+8chpjDG+/fZdr1/ZIkpTxuM7Kysvcjns0KyErtTHveqe4WOrQjotfZatdQFZztyhyE50EPirrCx5epuR6gS6rygUpL64+J+NXkkRkXMpCx6XAPVa5ciBg6uVytU8mzdnV6nVegeWaIpeyvRZLtq65gw8apd2Fer+dGCdZXiYkWRKUCy4G+Xywd66vc220xu6owm+9d56tfp0Mj94woBsboqFPKcuolmLud2tEGfR6PRrNhN29Gq9c3MEEGW/fWefa/jrJKGM8KrHij7k9atH0Q1a8Me/2T3Ex6LBmRlN/qr05ltC0QGmC03BZZdoklwkkLp+/vI/HxGP3qBX1ETjaoKHd1ose81Fo4g/7nLQr0H5L0tLkZd2Bci3DVXLLq8FUxtpM33pSn/zme4EfA/j76XZX+K3fGvC1r+2yuTngK1/Z4q23thkMYs6fbxIEJcDQapUZDiP29oaMRinjccTm5h43b3bo9RKGw4QLF5r8xm/c5O7dLmEYUy5XqVZfxpyqcz1sEzQTTDnjurfCC6XOjObu6gOSqBZVELVb0ROfw/BRktdxods6r3+7iMsaE/Le2G3WYneN7Ynj4yIS7erTbko7plqikbDrIkbi25a3/2390oPhOpc0EmYMBKv92Y/uINL60gE7e4G2TCCOqeZrHf5W9wJf2zrH5v0Wv/KdF/ntGxcJ4xLnWz2CJCUbZayWhwxDn71BlVFcYjz22fywzc3bDXq9EsNBmZcv7/LWu2e4H1boZwFj4+H5GcZkXB+2CUpJ/ru/wqVK5+AKxzoTUd+gw95JpJM59P2wN1TufwSD7ROxlBQsrjHOgxTIo6TYf9TWmH7u89wesox+U7kmMRlrrjCbsGHdiFWx3xP7LgP8AFD6J4CXeeedhK9+dZ/NzT5RlJKmBs/zuXevR5ZBtVrG84bs7o4xxjAehxjDJCaWkiQZn/nMBhsbVb7yles0mxVarYAkgdEoolo9TZZdwLT26BFQr0bURxGtJCSL3QOYhnzjucVRV7C399GFeTGiJx1S4bHjyrw+54oH2cHdGheTfIQHFpCFJYuie6/HdXk/7TgqX7cyz6rTz8EaOXZOmXRpSpmRrkipFNp+9kBZdDG0/XYtX2MbYSuSVpc92UTI3umu89XN82zeaxMZwxifai3hbq8JGKpEeGGFrV6ThIwk9fBKKXHks79fIRwZPrm+w+nGgLfeOksaG06vDvFNxrjrM058Kiah5GX0koC6iaiXI1pGrE5vg4quh1UUQJbE5fI7uyZEaxdb0WB8TMF67BaYxAlYlMDDEf1HHROZ99x0fEtOVpZlYGp1afJanXys67DFlMxsfdZaawG1FeAfAvguut0Gb701YmtryNpahSRJiSLo9yO63ZAbNzrcvNlhb2+I50GWpcSxIYpSIKNUMozHEdeu7ZNlhvv3BwwGIYNBzJkzdVZWyuzspAwGr/LG79+ivhqx51fpegFdL3hwXdaS1GMFuN0/Wml0ufUXhe4P8zxKTwJ0Dr28XvlGEGkdHeaBkNerlUO73/7XfVaO53Zc1FmGtg6YfUGwtbRke2W9dluktumEOrkKvgt6u9EWgzyxXEjXYrpw6PSElhyUP7sbB7x19wxbwzprrSFJ5rM/qpL4hm5c5la3yVanyt6gQhIbwBDjk2GIMoNnUpK4zJ1Bk8yHr187zWDkMw591ltDVptjjA/3ojpvrG5RJ2JvWKUbBnTD4OBNg1mS0Qkecp8MaGrIY6ymUhSM1cefgFb4xFhgFicdGzvqMR81o+vBQCt9RS5DHefymboDW8xaXzLO7KuyDfIlHvj90D3z3Wy+/SpvvbVHr5fS60X0+wk7OyG7u2M6nTFJkhLHI0olQxQl+H5Avx8ShhFhCL4PxqR4nse9e12+9rXbfO5z5+j1QuIY0jSlVquwvT3g5Zc3SM7X6a8nlKopNS/m57NPcJYuqwy4QAdPzQuz0LIoxwyN45LX0wJXeEHG0bW7Tv4uyjuQBGMRMA2nBGKfy1J1PZN591cSno1val6R55MkaV2JdmK0bL9N3tCTr6XBBMy6DefFJeQNtg2oiv+Tk3WTgM3tNm+FZ+hVA3pxmX5aZieqsjWo0BlXKZdSdscB42GZ/rjM6bUB/SggDA1hHOB7KVHi43kRW7tNrvfb1NsR504PSLqGNIRykDCOK5RJSBKPflym5KfUiPn5rU9wznQ5yyB/B58JD5rBYcG1yWvXZrc07bWJr+uZl614DDxxBGbxuNw2J0lii2rrrlgW5Ncv39Cg3fPyuDp5XMuS0mTFmZljZHnrYtwAGnXofjbg6tXvp1Zr4vsppVLKd77TIQxjRiPY2xsxHIaUSh5hmBCGEEUJOzsjBoOYJAFjIMsgDBOiKKHRCLh1q8vqah1j4MKFBp7nsb4esLoa8NxzJcrlT9M4/2u0zo25dbdFyUsZmoDVbMw32eBFtqhOSAzc75RyuZ5ciVaL4GklLw09nujEliK3tdynSU2vfpEW/Nb327VNe5x0uywZQd6P9fOUyn7CbHahTWaRC//K8tJommmD9MNLWP+mTH1MxHZXB0snC/hmG9RqMX6UUUpSvrN5ijDxGWU+nX6VUVoi8mEw9iHOwMBut0YYe0RJCUNG5sF45BOFJWq1iPe3VmnVQoaVEc/XenhZxka5T2McEgwTyllKw49olcfc6rYoZSmDcUAUjLk62uD16tb0pZdF5KV/W0gNQ5ZxWR4u4tJlis6zIJ5YAoPH5675qCyxebEXKUvyW79R3KbGS9JqMBvzkgOSrGeFfLXC7sWALzcv0732SSqViGvXxnz967vU6xVu3OjjeSXCMKFU8onjDM/zGA4j4hjG4/hBW7IM4ulffD+k0xkzHkc8//wKnufxrW9t86lPbfCH/tCLZNmICxc+hWn+D7x7dY2qF1MxCT0/oBHHRMBN2rzM9szYYV9wqJXIJXJoEpJxH/k7VdtteTlWSyIsCn+UOVxRcHnmbN161RXp7pRKvmx3AvSZEpTLgrTtHTC7kLu0xGbaJF0U8r+EzCrU6eEiyNw1AV/euky3WaFiYq71Vvn63hnqlZAbd07jlTPixMN4CWka4HkZw6RMmsAo9rBJqBmGOJ4M02lGKfG4fvMU3/PZm5xpDUlHGe9un6K6co/Lqx3ONnu8YvYwGbzbn8hUmtBLA2rpZK7loM2VyrY7EUPfxAc3h4PkpaHLFe3X5znGYPtEE9hJ4ihJHYiyJ0lkRYQ8z3UoyctTx9gFeK2rULoFbWxMa9NlUW4d6G0EXG1t0H2+QrV6imvXIm7ezK2qXi+kVPJZXa2xszMiy2KiKGE0SkgWMGuGQ9ja6vPtb2/T78c891yTT3ziFJ/97DnW1uq8/fYulcqrnH4RBqvl/B1I+NTTfEirEnOfyqEKW5GL6uNmfWkSsr8liemwBBy8bl9t0wqda9wrq+1F91KPfzomJj1TMo7lWoRXug3161Zsm2Q2qw1RQS4bY1G3j/hhL0KnxcOUAWV2iMUkqGzfrNyNK1SJuHb/FDfDNoPIpxcFlLyY1dqYQVJiEPskWcZgUCJODlPZDYNBQJr6XH3nNN7zKWdrfS6udDmzMuC1+n0+vLHCfWqc9oYM0jJNLyTMfOoTNaFqYvajCs7pllpTcfmcdQdymbLz3IVawzgmPjYEBkcnMXh4a+wwS9zlVpYkY2VEap52X4tprGuV2VR4mdSh65Rx6HNAowJvB21qn4hZO/Uy770X0GyWqdcr+P6AOM6zD4fDiHa7zK1bIwaDo93B4TDl1q0ucZxRLsPv//3PY4yhVivz/POn+PDDAY0rb1C7dJPu2YBsz/CKvwMpjChRE/4NO6jZjDMLOyjJgfphnvOzCE009h7NIxhZVt5LfUyoyuhxzKU8SEKV26QVZv+nTGNtdiUNe1xVHG/JqSzK2UxJaWFKL5d9V9iMJ8wlqNLvCFNS0y9Ss4LH5NUpXsxaMOK93irNUki9EuFHKfHIJ409hqMya7URe1sr9EYV0nTxaX+jkeHu3Qal+DTRhsf//o1vs+qFnF4dkkXw4a0VGo2IWhDR7QdkqeGV8k5+bFyi6YXTNsvJg3abdhEWdRhX1mJRx9L3VmtED4mPFYHB7PM5SRflUepyEaKMT8lVMqS82InHLaYk5jHNOrTHyOkniG2WwFrklhur0GsFrPzhMefO/VF+93crrKwE1OspYQiDQQIYut180vJodPSelmWwvx8RRV2qVY+f+7lv89pr60DGiy+uce7cOuXyc9Qvf0BnrcLz5X0accSIEkNKvMQu4M4otPJXhEWtr2eFvHQfdLkSLVzjh+t+aTKy/dSOafYclgwG6lifg2OhhJVHl9IvLS05z8tjNmO9Tt4PKkz7vCU9aShZ5ceW0fN4H+yQmp49obyR8h1EDh9nLwtYaY85Z3r87tZZVuoj6oSEA59BVgI/ozuqMBx6jMZl0iN3QI9+v8zNpEnVRPzcW6/w2vkd8DJePLXHuahLOUuoJxGdQYXnq/s0oohhWmJoSrxU3Z1qCdK3KolK3iTpny9yb8xLky+yuua5IxfEYyEww8NpyScFl99/HuZZYYsQVxFZStKy32X1ka5Em6hhXYY2FX59ss+Wk+2SpGjrWAXMZFmb5rmQ0XoJOEutVuG99zr0+zFhmFCrVej1eoRhQrc7whx5bYgcWQb9fszbb99/MLH51399k1u3enzf921w5UqbKysf0r0esPn1NvvjCk1CrrCLTzjzri85hcUOoL74b7/14FmEZ4W85mFRZU3GnuZB3zP7DCS5WLjmoMk4W1E7XOuxWBeg5Bk7vvpMV55PmCUyOJiBKBcGBvCl+9CysexAOjBoK7UNFjegaUJGrRIEUAtD3uuv0M8CwqxMbTWi1w8IM9jrV0myDGNSsuyo6rShPwq4ev00w1GJC6f7/PrmRW7VWnxf8wZXqttcaW7TzfIsyP2oQjMIeam1Syud8xZ0HWjUcS2Xxqi1S5dbST/sExK8x2qB6WDyRzmYuOYWzYtRnTSssOsV5SVx2XM3mGYN2uXU7PytDdzzpeyxlrw8UVcdHqzee+m7OvxW4wI3vxFz7lyLMBxw82af119f51d+5UMGg4Q0TckmE41spuHDII5hd3fMzk6fbrfE++/v0m4bXnvtS7RO/Ye0PhNy5eI2fCu/yGEE3cmxdtBxWWIw++zmWRQSzxp5Fd0P1zY70Rdm5bDI3e0iHB1Ds/1SK9ZawdBt1bkBidhm/1vC0X3Aco3NQpTuZUuEtk020122K2XisZCJGNoctCeXKcHWV20/wmq7VO7wW8kFbo5anDvfJ9wtcbPn8/qle/zKNy4zyEqkGKxGmGUPO8IYkqzEdqfGnf0GDT/i/VsrtJ8f8drz92lFIS0TcqW6PZvpYv2y1oKUN0RmzsibXuTq0O7Gw2JcroDrMaywjyLZ7lBIQTpqg45zAToO5bqP8+o/is4klTYXecHsShkwzSi07+6y5GZdgKdE+1wDhrS8fKbLR1nriw1ovRzSXvkizWaVcjng5ZdPcepUjX4/YXt7wHgc0e2OSJKMJHl48rKI45i33tpiOIx57rk2d++OuHr1E3Tj1ekbNUVH0IOhXGZNK4gWOpnMhWeNvAyz1+siAZj1fmlI+dPfMGvNSFLScSY5Dyth9jnZY1zhE9teGQ/T2+0k57FoT6r2d3FPt5DL/8n9HsxaUa7OIWdZy5trWV9kUbVWQ9q1Mc1WSLme8fJzu5xqjeh3Ara364wjj+6wShh7JKlP8bKXi4wwGVFW4vfeP0tnEPBcs8vd7QZXb2/Q7QZTorJarExQkTEKmUoqb5o0oaVQ2WuX985TH32MC0+jC/EwFGVHnVR5few8zfMkoN15ek4WzJKXXvrJfuzk5HWmr0KR5CuD1vJcME308GUa4oQwer3XqVSqDId52SDw2NsbAoY0zUiS7KHdhxphmLC93ecb38gYDELiOOG998Z88MHrfGb1W1w626HVDuHOwSC8HNxgfqaujv0cU06eChT1V00ycJB0EP91H1oU0jVoEyns+Rc9XvZn6Sq222wcyyoyrqkiUhakS9H2n7LYZl2QNc3etjE6U0Uyv0yAkOmMPvTigEo5YRh5UMpfhbK3W4EsI039/Dl4QDJPsFy99qC6HccenVGZr984S9T2iQPDe6VVPohX+Ez1HpdKHVpeWOxLloJlNQttWenmLBpTkS7YRcofEU8kgVm4iGmeq/FhiazouMMyEA+LLWji0r8lecm5W1aW7LwuObdrlWnyxjyXZ8D0FRNlpnPF9NssuxsBd65vEEU+o9GYb397l9Eo5dvfvk+pBL6fL2sTndBEqzBM8f2E4TDm3r0BQVDm3XcNL7xwhqjxLlfLG7y+skXrfgjj2Wu040URIennp5/dYbL0tMOOuUWxddlfpaFh3Ymu/iSVb33P5Yoccvy35GCNFpglTpcXySJ07LfHaRdon7yP28SRKlMXoisxxFqGI1H2weRsOcFSarTSZLXZVHJgkDn+k+O6YcCdnSaR7zGqlvn2/TVGkc+3b65TIsMvZZBANHqY4Vc/BcMo9ilHPgNS7vXqBNWYd6trvFDZJ0p9ru5t8Hpji1ZJ+AGl+arN0SKSk9rBYf5q29RFkjuedhfiYZBWKcw2uqizP+x5NA4b7FyDqbaoXb9lgoaOUwXiI8mrLo6z59bfsj7E7yrg2xV8K8AF4Cxsem1Onz7F9esDhsOYIDB4Xsa9e308zzAYJIzHJ2e/xDEkSYrnGcIw4dSpPBtrMFijthZTOxuzWW1D4+BALDV61/qh80jtME/GswBXLHeeW156AuYlhLn6+Lw6pdKl5y/KXAjp+rOQbnXZJr3+rAzXWLegNB4sedrvMVPvRvCv6wABAABJREFUn5TpmWQR1yAurTFLZnq/TBtOYHOnzenSgOu7Kwz7JYI4wUtS7vVqeF7GIPQZj/XqplbiHwaGcehjjCE0PqdWxgzLZQZZmZoXUyvFbI7b0+L2BtmbquNdi8RS5D1xwUVe2j15Aq6Rp4LAXNCkNm//US7yYUjMwkVc0g3mGkQr5EaRVfBscoZ0EdrsQUtk887vTcrZ/1Vyl2NN+ihXeWCB9fxLhOEKr7yySr1eZjxO6HZDzp1rUCoZ0jRdaNLyUVAue0DGeJwQx/lcsXr9RShDdTWm1wxyk5H55CThekYu+XlWrS+De/6fhMt6lUpVEVyhDJnpWVb77TadjS6PRbVFprnLZyTrT5hOPrbjrY2Jhcy6mVNVVyK2a6IPZQG7wxVgtTer6KWVk+N6UUCY+Lxyaoe6HzFOSnRHVc61+pR8SDMWkCnXEywiOUOplAenx5SIfcPQlKivRNDIFwToJcEsu9sbKV90qReWlFaS1gT1Q5Vm+oH5CYcceww8tQT2KHFUEpPKmE4g0LFM+V8Kuf1tSUoneRQF3nXdcrKnx3S+2EyefYOc1Vah2Vxlby9idbXC88+vcPnyKWq1MqurNfb3w8lcsJOF73skSYoxGYNBxHPPtTl9+iKYKiNKNFdDaExFNWVWpmRC1KKtK3JNHRWu9O4nBbbfWj2liMQWcXu7/uuYvyQWlzLtWshCwpUzYMuFTEmpSFG3461N3OgzuyaiJTMZL7PylKh6Zja4TijjQtZKk6+BEEzc9EP2oiqr1THPr3e4vLFPLYhYrY3YH5QZDFzLYNgrlieUCBxlLDKq1YgUgzEwyAKeO9XhdH0IFRh5JZqEU1Yfz7YXxDUUZUdpi0Ana9hLOIqQuZSAI+KZIbCTdg+5LDeZeGPPaZUxl6apj3eRl1w1Xrpc7PaGOE72FR0XhFl3TZmpoWWkr6hBnr44SeK4dOkMnpfR7SZkWUanM6bXC+n3I+L40dgrYZgSxxnNZoVGo0y7XePs2TrD4RrDqMSlcx2oT1yeTMXWBuI1XO4vWe645GVJc498kHwaIF15VhHQYQvZF6Vr2jWVQ8OSmR3Hi5Q227ctJCEdZjX74r8cVzW/JORxsAEH32ZijQ25Xc4HsxbcgxiPFjBbkbRWImaZUaIMl5odPJPRHQdkQGcc0BuU6Y8DjiZS0tqaN2XfMI5LYDKatRGNckjbDzlLj+F+iWFY4hKdvPNac1VnVEohWdRKcmmVLoKbh8PM/0Pw1BKYyxqdd88fxnqV91Y/D5e7sKgOfX7pKpSGkR00AvVfTtgsOoccqKSh5duKJCuu8iAPv9W6wA/8wAZxbLh/f8j2dpd3373PzZtdouiYOfMOlEpQKnlUKj4rKxV+6Icu87nPXSBJAsrlNq+/skVrPXzA5taakHJ/lDHgOG7DkFzmu0wTBU5aUTop6DR6C9tHbf/Q/VbmJujxRsdtXZBWjYv0JIlJ60fygiURa1FJnrAEpIlIxr6sXHSBfVGf/d8nVz72xD55fwZAItlPTpKzjZXuD7tPp5JPyreqIT9w+UNiz+N+VKMzDrjZaXKn0ySKXH6UIjyYZs28+FipFOP5GbUgYaU25ocufcDn1u6QJB7lUsLr7a38FSryxukkCq0RWzPWoqjjS3/sUQbYwxIZFsQTnYWocRTiAXdQu6jMoud0+fMP65JSuO2gITVTSWAyhV4fZ5GIc2q3DkzJqwwHRyRrfZ0jnwXNChcu1PixH3ueN9/c5xd+4T3298eMxyHJSQe/yOduJklKGKbs7AwJw5RGI+DSpTVarRLcC6c3oAHlntubIRVkFw5LTCiCLT8oOPbk78jJwKoaRaEZC225WEj3c5GidNg4IxPVtMVUZvYN2i4rzO6TFpQkL2tA2GtK1H+LAdM3jsvz++RzIaX3zBP1NLR/WlYsrQ05uEuis/8DuNDq8WOnvsM7o3V+6/p5bvaa9BOflDyrtxiWqI7gKE8hSTzGsc/Ofp0w8mgQcelUh1YcwpbjmqQQSbgER/tcZWDRBb1dajPadXlMnIgFZoz5z4wx94wx3ziJ+iSOE/Nb5DitOLisOhs6ddUnhaQIUkO1BpDUSGUikyYv6X7R/Uq6LyV5zWR+WSmtkkvv+qQBLaBZx+owrVbAnTs9nnuuRank0e9HRNHJD9dRBHGcUK+XOH26zs///Hd46627XL2a0O22DqRn2lUUPGYHVn3P9XOxsWpYrJPLWEoX9/P8KMnrqDKlY612m7aqZBn9ah7ZTy1cFqx25bnGO/0dMI3v6nNYaBe93A4Hsw2llSatuD7THAV7rJSRiPwZy2O6iEpTUbllXRuQsw2SWmUoyth6+tDKQjBQa0SUKxmDsEJ46IrzFnLk0U9qFnFagiyj5CWs1Ab8/Lc+yVs3TnP1/gbdKJjVcG2H0A9NWpXaqpLXrWNkRU0vGlDl+U6AfU7KhfjXgD9yEhU9jKvPHnfSkANBURKFxOwzDUg4TcQFUk5TIqDONDVex8O021CfT1ocqSgjXYe2zQ1Ev0uY9v8NpimOLYAXsBTZ7SZ89au3ybMDY8IwX9D3USCKMvb2hvR6Y3Z3B/zMz7zF7dse77xzenZFgEkMTMdQDrO+JHkdhhFTN+G8BI3HYHn9NY4gU3Z9UReky1B/bN/TSpvOFkcco2VTlvMKjrfnejChHvfyZxba6gZICYgnMhVympTgQX+QHDIAOswuLAzTeWAyS9FH8FSPKatJhnQt3yGDajDLrpMKu3sBv3XtPP2sTGhKhJFHHM8bqaT1pXucq0dPJT8MfYbjgJ1eg91ewM986w1u95q801mfvQYJbVkVZdosSlyLwNV5HncMLMuyvwPsHOUY7eJ4WCtL16nrWUQZKKpHxwCk0lV03/PnHZCwgY9PnTFVfGI28CYkJoXcpsfLgUSSV1ESEI4yPtPB/oGHQJp+1m/ZIp8HxtnJhhLvvHOP4XDE9ev7DIcJpUfoXI5jiKKY69c79Psht251GI183nprjW4/mD6A9KCL1hXEh1kl0SXq8r7ZgW6Pg/OLNE5CZh8GR5WpjFni0C5njSICkkqUlgEN13Nx5QFID5J1VerYm26nHFtzvggYs0GIT8SYBJ8xG0QEM2EdCxsvs33Bukdl3M0+d3v+EWKjK05kJ5RJYoODk9kmZPHO3XXu7TfoDKvExqNUztRrU4riWq60GxemPT1OSsRxxq1Oi/6owq1hm1Hq89bOGbqDYHqh8pT2+qSbFPFfkp62yh4GRcJ7DDzWJI6TIK1F6nZd5Dyi08kaFjLzat45DW3KxNSIKQMlYirEJLRnrC6xfNrMYHCYjmbdMFIhlIOXrcOTF7/KlLwak/80Jztjrl7dplYL2NzsUK16lMuPNjw6GKQMhzG7u2Oq1YCdnZi1tQqb2+0DJq/L3VVkfc2TDatc24y1w/CkxrtcmLeaXpHi5iIxSWTyvxzrpLdJuwt1/boeS1jSoyWni8hvmZQU0SYjBuJJe2IyYiLaB67V1m9dwjD7WhVprVmr2x5zwNcoB12Z128PsrAXI/Zf3dvANxkj4+fLSVUSptFKOKhqyf9yQsxi/oRBWCVKPHajKlUvYmdcZ602YjNtu7UExDbrp3eVkf9d8xsW+UgL1fV5SHxkBGaM+UljzFeNMV89+dy2w+GKB8BBrbUoliAhs61kPR7WPRIQECuBivEJDiRq6Dk7coAoaqeF7BcyUG3lyLcHok54ikkCR5M8Bhazvd3H9z0uX16lWi1hTmrxwwLkE5hDdnaGXLrUZm8v5PJln944mJlYaa9Xzpwpki/XIgJWOd5nmmZ9GDG5lMQTkLUTh5SpzmRbkYtPugwlXJaSdmPr6bPaJSmJSkLus90PZj0NlryK3qZgPcoZARAr/ojJCB6EeK0nQ7veEw6GfewSUvb/AwVJMrhMgZVp9vYGyHkv8uIn27bHNdq1kPpqzPq6R6WyyMgnGcKF4mzEOPUYRT47YZ1L7X32sgqXW/v0MscxLjKWN8jV0Wf9uUf7zMMxNMWPLAsxy7KfAn4KoGTMiXDYw1pvLuvqYeuwv6UWWSLEUMIQC22zRJVwJklD/oapLKSO+mU53W7teinLctHkRBVydrVvvyydodut8c47MdeuXefatZTt7YRarUSp5FEu+/h+dOKrcEikKTSbZbrdMb7fZDSqsNYS2qY6d1EM0ucgMVlNexFLq+B0M3U9iZAy9YoxD17KYfuQ9AxpYwGxz8JFehJlDibS2PFdHldUr3R5y6Qjj/z5SZtDwspUQIlsQmK5Z6NEMJGpKge5RHorRuR8IxU9S6AyG9HXjZOsK1lbZpKUeWAkdeOAd4brXEvWuHZ/DT9MGZ7yqVYNWQael5KmiwYx5JUsYoVlQEqzHNKNavhJyigtsVYeTdtqWVuyN+J6XGmhGg/j/ijCMceXpyKN/iTdjFpINVzCWFRPURC6RoeIjYngxfiU8CnRZveBgFnBspCxB9R2GWR3WX72I/vCzBvP66LwJBbW7Z7jV3+1xdWrEb7fp9Fo8cEHA27f7rG3N8TzwPN4ZARWyRfm5uzZJi+9tEqawttv+/zoJydOHfEgdMxPrnQOB2XApsDLtO7D4LK4Fin3pOJBDFRAjl1yGxwcu2RZ+1uO7Z7YLp+P9q5Jr5QkTju30RKHHKKlVWRJqUKHkA1iwBBPFMISTXYPyIVsg31LsyXIOrOEbu2dSNZhhduyoj1ALg0DszePnLx+9f7zXO1v4AcZjSDkxqDFrbDJ/Tghy0r4fnbIG5i1tTTPzSiRUSlHZInH2WaXl1Z2STN4+/5pfrT5bl6kTB7D0zdLk1eivg/DUYTisIDsEXEiLkRjzH8F/DrwqjHmhjHmTx23zqIB+7j1aVfiPHdLUTts35aTQ2XZgJAWW/gk+FRokLDOFnXCGblwKXqyvTrIra0yez3Sv3/APW/fhGkbPFmJ45131rl61aNW86nVDL6f0OvF9Hpj6vUK5bJHsxkQPOz6oocgiqBW8zl9usHGRoNarcTrr8Nep3ogI0BalPZapTZvY1v7k49OuDqsD7k8I3LfI4g9H4qTlik95sIsQcl+KfuzvPeyK8hYlpUB7X6Xbm9dp0uJs9vseSxn5MfkMlUhIaBCmYQGWw8sMEtUeiFseU02cUO3R/HQwZWzLYlJ4bJKIdNt7/TXuTraoBbE1Goxfj3jbtYgNoZGfUgliGjUYyqVorQhPQfsaGnAUexTq4Scrg/ZaPep1RNeP73NXlKdjS/Ih2MvXE/cm+cu1DhssJZ16g5yzAH+RCywLMv+5EnUc5KWFjgSGuacZ5FzSzehFjztBswFa5sVZsNP2mrT9bhicNIdpJOBbEo+av+DuhtM/T62ES249ptNfL+M7/vcujWiWq3w4osrfPvbMd1uRKtVoVIpTyYdxwvcnaOhWvV4/vlVTp2qcfNmhxdeqLC76zG+VeeKWC7BTPxW9vqrTN2FNgVeJ4EtCi2jRfseB44qU3YlDtlubYVJ60taVr4oby0jqZDPS1rS/4vmAdvzSw6wY6j1btl91iMnryUfa0NqbBNycFURmJUfqa/ZNtiVVSQpH1AipRlZdKEyiCcG9muDNXyT4QcZt8YtqqdiLq10uba7CvicOz9mewviuMp4rB27toX2hPpOHuZGNFQrKc+f6XIqGHKz2+KF9Q67SZVx5HFFPng9J8c1kU93JCh2S0joe6VN/hPGU+FCPApc5HAYeRVBu/hcx+p4mhWgOtOsdRd56YC51na1teWyvlxxMZvdG0C+jFRLVGzNlzZAg1rN4969EeVymSwL6fd9BoOIc+catFoB/X7M7dtdx1UfD54HaZqSpobxOGZ/32BMje1tj+Bmi243oEX4wD/lSs3eIncVHpe4YDG3/9MCqehIBUh+a/dgUR12v3XXWjegjvtbpMwmgEtly/ZJbcjY8gHTdSZtfkSfXI5kXdKFWRbfUrm0MufK7o3I+80qB+PPxmM2RV5ns2gNQHccD2rlmHthg3ItJvMM/UGZbi9g49yA1bUxly/AL//Ki8xmI2pYp6rF4ZaYZxLSFNIYxn6JfTyM6bAd1gjCCt0syFflkO5B10x/+dAeFkXuD5dwHVPgPrIsRAmrLWpL47iDh3b7zXMVHgbbb11p7vZcmrysIMkFeudZXtKqdxGULKt/SwGWhDfj7aiIE0k/T+Dx8ssjgsBjdzdlNEq4cWNAvz/m9OkGa2s1dnfzica1mn/ibsRs8jqJnZ0BlYrHyy+vUq163L8fcvn0Ppu329OghBCGkfhYV9BhHVh7Qw5zFz7t0AqNVoa0so3aZ8vL/l4WH+1+kx4DG8/S5Cj3W5nQbkKZqWi7bFu0Q1tc9n+gtpVVXYj67HZ7P6R1FgGZ7hBSaPUKwfIzOcnL9V0CEnZHFUZhiRv3W/Q7ZU7XBqwFI7Zv1dnfDQjKEZXgZHOxs8wjiWGnW6PiJ7y8uku1FHO/X+dyeZ/NaDLdIMX9cjWXILksUXnT7W8dpJedRQ96LrP9GGT52CwwbZUe18qUgvWwFpcs74pLzavXCn2L2XiC9fO7yMu1ryjbUM+Dcj33A4F7e6IGU1W2AWQpr702otMJ2Nkp8a1vhSRJmdXVNm+8cZZOJ2Q8jtjaGlKtlhmNYsLw5ASuVIJarUS9HhBFGdWqoV6HWm3E+mjI/qgy8yrfPlMrwLoP5bW7FhmYp+wdliH8NMOVYOY7tsmyEtbw0EkX2viQfc1TZbT1ZYnLJktYZ1jZUYe1+EbMZq576hv1X5NXXW2zsOIgFcwyU2s+sI331LeFdsGJyl9r36dDhR2qfGu4TlLxWK2NeePVLTrjgHG/TFbKaDRiRmHMOPRxz+BzaYzzrLCMUjmmVo6pV2Ii41H1IuompuZHrAcTmSoxf7kZTWIud6D81r8XrdeVYfSQeOwuxKO4V4uO9Q/ZpuFys9jfVpOTWVZF55BebDtH2H4XxcuY7C9SRjSsEpMwXQpHyY2T8Mp2gx2J7MGTba3WgC9+EdrtMt2ux7lzddL0DFCh0aiwvl7n3XfvMxhEdDryBULHQ7UKtVpAu11ldTUgilJWVmqcPRtTLvcYfb1Ecxg+WEK8kx4c5Oz168w5i3kWlwvPCnlpBeewUI6EHFP0cXr80RaWjsse1j4rN3r+olVOrKfbGuGW/HSsS7sRJXm1xT6YfXXXCvlUSEusDXmNtiJrqbgg/ZgWCbTKIV/cuEW7Paa7HXDuVJ+0YcCHRjNi/bMjqhsxe/0K93erFE8/t1E++3seMiqViEo5Za0RsloZE8WGFX/M2XGPcpyn0jezcNpmGVS3kB1AmunzHmiRAGrYuh+Bv++xE5iFdnMcVrZosD8KZB3aGnKRgkuRsALm+sDB52bnPmrLSy+pIwlQpoNbodTkq92Rvt1hG2r9mDaPmB6tVsIXvlAC6mxu+vR6EdvbFS5caLG93Wc0StjeHpDOz/s9Ms6ebbC+3uDll9e4c6fL1at3aLfLfPKT2wzvlHipv5sPHuIG2fugyUkYagewiHw9K+RlmE0qg8Vdh3a/HWd0n5XEY/+7zmFDSJ6jnK7LQ3RFpv3WztuTllOXqVdjwKyiidhnyWuVqb4G4s0MTONr1qNhk0Uswc2Yqzo2ZBtvZUnm/U/KtqohX1i5DauwOWrT88tsjxtcWO+y7dW5t1Nje6dOOndFelg8AzGfX7ayOua59Q4vB7vcudXk6q3TtJshnwx2GI5LvFTanV6DnSQJh/vQtQ/+sPKugVkSo04COCaeCAKT1yxdF9LlM8/akvVIK9d1L12Kx7xFRV3nkuQmY2RVZoPD2rq0ZTVRuv7PgxzMXWToA4HcYJfo3mAqtcEe0ANiXnsNksSnVqsTxy/w4Yd7jMcJW1tdfB8Gg5NzH0YRGGP4whcu0u+HbGw0OXUqIMv6rK5+wCWzRSudSNc4/7IDo3Xdz4trHYWQnhXy0ijq964+7po0rxMzJLRibruT3SezGF1Wmt1u+63ONLSGj/QyVJi6HFtM3Zx2hkiL2aQpm+Fu413SW9EQ23X8buYiZaBOXrAOPst9Yp7Ya437JMajVo+JV7b5cLDCeMvnnbunSRLDcLjI0LuYFRbHJdLU4wsv36Z/PWAjGHAqG5GNYDUZcanSyWVKL1WjTW6dfBGqsq6HvwgW6XgPiSeCwLR/HfXbFdsqwiIuDCjO+Cs6n8vdJ+ef2OUFtXfB+udhdlV1u0+7Al1uZ91unZElB4MZn7/dkTKdIGXZgN7kk0/x9H2fb37zHtDi3Lk2UZSSZTAYnGwKfZLA7u6IOE4ol32+9KWzfOELLZLk61y58rtwP8zbPPFaWivLklfR8y0ioxN0tz/RsOPqPEvLZRFJObCQiRh2ioKVE5diqI0RKQP2OL10k6tt0tNk3YnWOpKyY+uyMmfJa1Vsd/GLxzQp15YJRJ0p4FvBlSQl2Vc2RO6TrhGAEvgm5Zu31qED5871iNqGX3nnMoNOiSxbZPRfzApLU8Ow4xEPPcom5UvrN/hCfIsk9bjib8/O8XJpJPMCyEeZUFnYwMm31pROAE8EgRXdF5fVVWRZLVq3yzpyKQOHkZfVAK3rosU06U8e44nyrm227CLXJMvbfieX35GylaVgbKV2Aow0ZRgB23S75yYTmgM+97l1RqMWb765w/XrHXzfJwxP1k7xPOj3I775zS3+xJ+4wuc/fwbf71GrjeH6IPcXTeJfYXrwzecWrsSNRXCcq3nSLTZtTbjIrIhEJGlJSIVIete0zFgSkx4i28dtv7TKiHb72jqtUmiJxbr1Job4A7dgl2nsyroMpfWl3ff2mmxbbFlL+vb8CeBbjdMlkHKOgNQ8JRMCXQKudjeolWI+t3KXUa3Em3fOcX3QJkuhO5Qrex4fHimjsMQ3N9f5Ey+8w+eT2/i7GTVCqDFdwVpfi3V9FgmTfuCzJ108/vUI8UQQmEtwiuJcReuluaAJw2VtuayvefdcCqXVDFeZugZd7hG9egSijGxjUR+S7beCZi0xV1sfzAWzB9gObL8HTP7ssbl5h1qtSa02BBJqtZStrSE7OwPG45goSibztubclAVhDDSbJZrNgCzLqFY9fD9lOBzy0ksJfJOcvCbWonyNkR38pE4qE1xcOMkUeZeX5UmDJA+X0itjWHrZJgnZ13SmoHbJybqld6A62SbT1n1m63b1XUuYtt/bc+0x7cKr5ORlFci6+G4zS4yyXrkgja07cJSdGXzk4CSzQrRLTTR8c9CmVsnfRoEHNWK2+jV2+lXGUYkw9PFISB/apJnCmIxaJaJVC8nGUI0j/HLGsFTipdpuPsLLNbu029A2QZKYS8uxnUqa5hquG/+IBeaxEJidBwaz/cNlcS3yf97g5IoRFUGXc53XdnwrMNb/LlfVhlkfuyQgHP8R2/X57LceNFwuaTso2ME+GJGnXNnCKfmb/u4Al0Mojen1dlhZ6U2uaAiMKZeh2x1PSKZMHJ/Mmy1LJQiCEmfO1AnDmK98ZZNPfarJ669Dq3UdbvHAAkuiafq8S+OXg6WUtyJ5mee+moengbhgtu/Nc9PZ/a6hs8hV75Id1/Gyv1tI6y1S2/X4b2G7q00CrJITk53s7DN1BUpLTMa2tHxIopNTWOS8M2DKkDC7GCNim1zY12fW7KtCbxSwUhnnc5UnzFneTenuVsgSqAYR8QlZYZ6XEdRSzq0MCMceX7n+PJ967j6v17byN0L3JwW1NucyzWcqxk1o8wZSHfT/CPDYLTCXD54521xwuRjnJWfI5yGPLXo2UrDtRGWZ7SRTdCUJS7ehjldJYS4ibnl+7Zq0GHEw6/HBYN9nasb40B0HbH6zTe9WQHMUcumLezSbbUajW9RqAbAGDDh7tsrVqz6eZ1hdDej3T4bAgsDn1Kkqvm9oNAJefrlJo5HSavWBvwvvkb/CMZlN2ND3QWYBFymDLhyFxDRxPenuQ5i1yiVZuZTpItIv8nxoaBJ09U9XvE3GuWBWRm0CR0guYzLuKQnOKo2WyKqqjAxLWZm0RGfLS6/IjDVYnpxYxgR8UVCZbF0/YHPcpjcMaJZDLnkdmuWQESVq5TgvX4GzG32ubid4XsZqLaI/mqxmjX7B5VFkLZ9DubExzmUqi3n59A6NUpSvumFfvmlNaftw5SkkMWnmd2kC+jgc+45iYRwTj9hDOf/ELkvEd2wrOtb1sZ2zaPEIKWgu8io6v4ztSstLanWyDrmtLI6zWmKF4nsgMZOUodpjA+zSsgfhKRAjQjcOuLq7QRT6rCRjoo7P1W/ss7p6j+Fwh+FwjyzbZzgc0G5XuHAhz+Vqtao0GsfXcyoVWF2tkGUQBIYsy3jppRV6vV1yn+FvwiYPRi3Z5+e5ueT/eXAN5EXl7D11ZTw+qZCDtF6FYt5iCdKroKdiSAVsnsfIHuvyILiek7WArFVk09ztG3/a4lu6/CrkDoXW5LPBbBJHVZzDJleVJ/VYebUxMClXDyw86de3M671xYrvrgm4OtwgSnxWymOi1Ofq3gartRHDcYlhUiIrwdCUaDfHXFjrQzWj1RzTqM+bUbwIMipBxOrqkCzLCEoRmTG8tLKXv1PPQj5EC6lxa+3YZX4XPUiYaswJhwtLqj4ngMfuQpQ4jLSKIIVSwypOrvtV5LKT/7VF1QLWmSUuXT5gdgCpMKtp2riCtsRcbZMZXUV9CWZJrEyuZFUj8Lv5xs1xmxoxNT+GEGpZ/r23d4PXX/fZ3Kywv7+CMTvU62t8//e/xNbWCM8z3L3b5cKFgL29EYPB0Xue70O1WqJczlsdxxmNhsfe3pBKZUC3+3Vaww7cZWaZG/vc7DVZbdzeM/vb3qui5IR5cCVcPQ2E5YKMgcmMRO090oq0Hkqlx8HledLTWvS4VmSduaDl1h4vx90RBxVEa01JF6A32TYS5WycTLoZZYz6gadExgbsibqTChJRieiUm7Sp1fIVMABqlRjKsJdUef38Fpu9NvtxBVPKqNdivv9HrrP1GzW89w13B00utLrsdaoMBqXJSRe3vnwvoVpJKPtjiDPisaFRD9mLKlTSBt1aQMsPD3Zmre0eqFiVldusqSrrcLk1FvW7nwCJPXYXYpGlsyis+6CoDmsNzdOmi9xzLvLaYKrxyQC3LS9TfqVFWNRfXMkJst2WFH31W9dhB3iYnfjsj4D70DsTsDIe59JdA2KohjH7dyq0rlzjypUysMFv//Y+nU6PJIFXX13nxo0Oa2t16vWA8+db3LzZZWtrcKT3hJVK0GpVaLXKBEGJbjek2TxFpzPmhReGXL36Ia+/H9DaCmEESTq1gqxHxwVL1PKaF03ccBHXYcc8LZD9Wcaa4OCYYS0RV9KHHJvsb0leruxdOQdsnudpngVtl5yCXN5sGMfWba2odWbfFmTrtvPIZDhBuxqN1BAtq03cfQ+E2F6wFER7Q6vQGwaslMbTxpehWo7Zp0KrFnJlbRtW4bf3ztPJKiRtj1e/Z5cbWyusrQ2pBzHn1wbc3Gpyf79KFC06HKeUvJRWLaRViQmCkO5ehebafTpRlRdqHa4ON3i9tJUvii01PenHPS7kgDpv/gY8MrfiYyMw2x/0fVx0ftsDzWnyv+gY7aKzhFHkwtXxKCkAlrzkahrSa237vcxw0q8N0oJdYequ0iSm42ZSU03E/0T8Tyb12BBxNs7T6ZsmZLRforYeP5gNOtou0VwLYbgDtQ/odtd466111tefp9lc4fz5Ft1uyGuvrdPtRtRqJTY3Owu/6NLzcvJaW6vx4osrlMs+YRjRbje5cKHOxYsVdnffBr7Jl//WZc7d6NMchJylA4TODEPpLrYhiZHaP0+W5g3mh3k/ngbIvr5o8oVVfmYsElVHkQImLWAoXnTAQpKgVOBdlqG1uG0ij22rtcA2IH/jgoWyDsJoOuk5kD5Rl5vEDuwNUcaVjWLLV6GZTWJdxPlIWoKRV6IZhA9YtlsKeOvWGdYvD2nWQs6v9+h2A167fJ/uXoWaH7N5u4U5sDq9jo9NTu3HmMzQboy5dKZDrZkQ9n3aqz0uNHtcrHbZHdUggS93LnOu1KeZ5LG5FuFUcFydQydtyMFKm/PzBEnepyLM23cEPDYXonR3HAXz3IWLQGqcVnCstudyi9g+bf3u1j9v64LZPi/JxjWRX/7WLh9wB6C1m9oicmyDKSHaT8ODS6VcK2MbqtWYUbfE0C/x0rndPPvvwi02N8+ztnYbz9tmOFyn2x3TbpfY2RnQaARkWcKFC016vTFR5O615cmF5K9Ph2azTLtdplz26PXGVCo+P/iDz7GyYlhbG7O7+x3e+lsx57YqvDreYZSV+DobvMYWktIt2Vu50hNjXWRHwbajlHlaiKtEHg/Sc58sXNaQ3I7jWE0yLkuqaJzT59KWHBycEyxfnuAiQjt+NjzyxQxtRyjwvAVlCKTZZk9qtUx5YZbU7G+JkWrMxGK7VOlw9d4GlKDqx4ziEsO4xEtndx+cb3OnzVprhGdguFeie79Cuxyyc79GI4jIErhwqkNvdIowsqQlySulXE4wxiNNfTwyWrWQ9eaQJDLs71Wo+zE/+PoHrGQRa9mY3UGFt/bOcM7r82pth1FU4upgg9frk1Vu7HW7fO/6t3WFzBuoiwZz7Z56BML0WF2IsmMetl1rhhKLkKArNiktJX0uW8ZaW+tMsw5dbj27vWigWKQ90rrXclSU8JIyO4FUErvVXBs+tLKQ11e32Iza7N+v0DwV8tKndmkFIdzPC/a6t7l8+Vt84xvnuXt3lUajymc/u8GXv3ydc+caZFnG/ftDzp2r0+vFdDojoogHiRmel+H7eabhcBjjeYaNjRrdbsyNGx2q1RLtdsC3v32fT396Bdii0/kW4y2fNUaYBGomJgRu0OYM2wfum9TWpdtLD6SwGDG5ysxLWHhSYfuq7H/aMpKvS7TQipMtq/s3uPusVqwSVbZo7JPhFOstqAI16xMMJzvrTM1DO6NZB7NE3HTGJLTHywZa8rINk9aY1ELlzYDpIoxW0H1o+SGvr22xOWyzn1VoVkNeWtultRI+0JR7g4DLa/t8Y/sMdz9s0KiEfPbyLb78Oy9x7nSPbAT3swrnmn36tZDuMGAclsgyqFQSPDK8UsbaqQGDQZkSKRu1PoMoYLdXApOxdmbEt3dP8+nz9yCGzqjKOPJZa4ww5O8oI8nnp12pC5mScRWp0ctr98VvCa2duAY8LZDzCO4h8dhjYFA82M+L+xyl3qJkDRmHtK48eb8teZ0jV/j0EjW2bp2Wa88xz61ZtN3KlvZYyO8iyIQga4X58ECTamUhV1rb8By5KbnH1D+6B839kOjsOzQa5/G8y9y4cYooMnz/919kNIq5caNLEHi88cYZWq0yb755l05nzN7eiFLJ47nnWmSZRxzH9PsxWZZOXpfi0+mERFFGpRLi+ynXroW88spb3P/2iMow4VzQyxudQYmYXSqcZvqM7BjlWsXBKuKLkExRvOswWTohj8cjR9E44nLZ63iXhlagZLl5xCX7vr7fsn+3IU+esNqpnFBpBarC9KGPJp8Gs3586YeU6aMytmX9zNbPrgXVXkBFlJcWiqu8zzTWZY+rT/ZP2twMQqLMp5GGeOMaN+62iYYe33/5Q0bDEjc6bYIs5Y2L27RaIb97/SzdJGB7u4ZvUs6dGtBuj9jr1MhiSBJDFPiUg4T+sEwUG/b7Ffws5Vq2xivBLvd3a1TSmHNe74HQVNOY/bAyvQ75YHSyhn5YvqMszGaW2WM0ivY9zVmIFkXEDbNu6SIscg8WccNKbVN7F2zsq8XUUpPH6TR3Kbya6BZF9ZD9LkVGrldXZTqfpm0LWXeAXN5iRJ75FwEtuOR3uHptg93dD/G8Dzl3boU0rXP+fBtjEn74hy/wN/7GNba3R4xGcPp0nVYroNEIGI1iXn11nVu3uty6NSZJEjzPY2dnzNpamVrNJ8syOp0RFy+22dy8y5tvfsjqMOEzK3dp3oseDDwjSjQn9kIqml6UuekXbNc4LM58GJ5kK2yR5Za1Mq0tLTnWaAXhMBekzji3MmG8yYsiHb9n1o2ygiQzniwJWVeCNbvLzApelekMZ5idvyV98jJbRWrG+sEmzN6EIri0WTm3xYdLKx2ubm+wu1vBG2ScK/dJUzjf7GFi+OEz7/M33vkU2+MGo1KJteqAuhdSSRNGQ583XrjL/rDKvftNkhjI8pdWnloZUiYlS3w6uxUuVrts3mzxZus8q2bEZxp3aWbRAxfrKJnIlGtBUZd7zzVwykC7LiMzx8B97/Q5TsCt+ES4EPU2bcW7jimKQ8oyWjBd0G4QOX+rCnyC2XiW7PdW3uR5ZeKFVQil63OeXGhCdbk1i/7rGIT1uHgwJS3ZubpM32fRBSrQOhfyen2Lr/z2RW4M36FWW+P8+RepVCCOodsdcfp0ldEoIQwzqtV8ntiLL7YZDGL298ekqUe57NFqVYnjFN837O9HnD/fIAgMlYohCEa0Wrfo3Ovxj3/mW+z8Xp3hTonqMGaYlRhQ4mV2544jWhGUWZj6vhxGXIvI0JNMXjCNmBQlUMg+7iIoiyKrTGcq2iw+XxaeDEi+0jyNKGN0efneIJshJQOd9uS24XVmWdfWZd2Osl44SEY6M0pmYNk2y2WVymK/bUOEe4CSHW3S9lY95PWVLb7y1kVu7KxQI+Z8tUullhCPPLqjCqfrQ0ZpiXBcokpCqxTx4sV9BkmJ/ajKICnTrI/Jkowk8il7CfvdKqvBmLXqmEZ9TJAmtMohnWHAP/7i77GzVWeYlKhmMaO0xDAt8VKwmzfK5UuW1pZr4LGDW5GPXh9vv12ZUlKTOqZgnQiBGWP+CPBXyZv2n2RZ9hcOO8YlYNr9MO+YIvJ7GNjjLHnZzwtM02/1MjiSrCx0rMCuB+c61yIDqn6ZwmFWnFSQZl5BabVCOzM/ItdY++Iko8n+JtS6CedXPqB5Ic/1+s534MyZOlnm8bnPnaLdzt+kPBy2uHt3QLmcx722tkbU6zG1mscHH3QYDELq9YAkSen3Q1qtGmfOQL2+zac//Q2i20PifZ/X21ts7rfZTypUCHmZXeqEDBz3z45FRcqbHKAPI69FY11SOfio8DAyJfuHdI/L7cbLt2WOizETAfQBP5ksCC00vAfuaJglFaul2RNJUpLHSKvIF/XIYLMVwoRpPry+KHmcrVdrMdJVKJfz0O4yWR/Mdhgt0LZNVrDtR2qoEVN3pa1nDLUw4Xy5SzOOYAjfuXuKM0GfLITPrd2l7YVEicfQlLk7alD2Yk6dGrLl1amPYupezLjvsxOWyUowTgyxb2jUQs5UhtSJ+fTpe0Q9nxif1ze22Nxpsz+q0CyFvFTdpWXCadts2yVkgHleXEtbWjKeqEnMQmc4npBGeGwCM8b4wH8A/CHgBvDbxpj/KcuytxetQ8ZP56HIjSEtF42iALQ9TipscsLxOWaTNnT79BI42ptgj5EkJJU6l+fCwm63suJKMnHFGGyftDL0IIU/IU/UWGEaFLdCbdlxMvlm82ab86UeYdmnG3yN4fAs9fp3Uy7X8H2PT3xilTg29HoJcQxnz9bZ3w9ZX6/TavX4nd+5S5omPPdcg91dn9Eoxvd9ut0Rly8HrKwMOH36FnFvyEvtXXo7Aa0k5Ep5G7KcU7u4Y1pyUNaeCjs+yUmsLjk5jLQeB1lpnIRMWUhPhREDvpGDuYXUIH2VxC0srAcPQguVXAhUHiMFSJKJdjnY5Aw9ALomcVqhsO4RK2CybdKVIQcCKTzyOvRgLGHffCk7ll3zCg6SrT13BJvbbc4HPUJ8uv0Kw6REvRZRJsUn5ROtHeLIpzcOiI3hbLXPPhXWawNapZDfuXOOcOBzrjGgkqSMMp+y59ELS1QaCSv+iNOlEfHI56XmLr1xQKsacqW5PY3nSQ1cZzBpMte/XZDPTgbeXXEzfV55/BNggX0ReDfLsvcAjDH/NfDHgEJhs2+PXYS0NIruqytRQ1pJUibk7ypT4rJtsusculLZrbIoNXxNSHKKSRHpemq/hiQxS7C2f2h5tPVbuRuQy5YlsDCFwLJCxIOswwcH2phBCr3dgMvVfa5tn+Jss0fwxlcYj1fY3v4Mn/nMGqWSx6c/vc6dO2MGgxjPg0uXWjQaZXZ3x9y61WM4jKhWfdbXq9y922dlpcTdu302NkKazS3W17/BmbjPhaRHczjxy+/lF6s9Pi4vBMwqytK15fKASNmdp/w9QSnzDyVTLkULJsSlOzMUd06YrUhqUEWvFNFzUSyxyDJlcpeGdP/JY2RmIfz/2fv3MMuy+64P/qyzz73OqXv1dapnpnskjbslWdjSIF9AFsbg2PBAcDAJeQNO3icKASeQ5A0EnBdECE9IIJALIcEQYpw4L4SL4/dFYGyMLWxjS5ZkaWZ6Lprpnpmu6Wvdz/3s6/vH3qvP7/xq7XNOVddM9Yzq+zzddfbea6299trrd/+ttUcTXi4qlnVktpN0b0krUbvFpFC0sGWs9mOfsaTKyjGR28LYzEcZiLaCI4LOdpknK/vc2FvmrOlSrkYMPY+tQY2PrmxTLCR8ZP4B9/Ya9IolCpWY9fkWc8WA3ZUqd95u0h8WqTYjVrw+97tzLMz53G/XWJvr0igHrFS6nKn2uVDu0Ij8gxMhz7WXJ8Q0oeTNER3LkUqEfh/HEPPSOA4BdpF0FzuLt4HfOKmCYXqigkWepeKyuqa5FfV2TnI/Nksrc6SGygIj5crC0pKMH1t3uFQspXKrvSfSEjsMrHvf8g2Znizp3XXPgGw9jPykiuyEFWBz6eLMIPB4prLDvc0Gnbc3KSz/Mh/96BrPPnuF69db1GoVrlxpMBhAvx/y7LPLALRaPpcuzfG1r20RRQmVSoFPfGKVbrfHuXND5ufvce3ay1yoP2CxO8B7PWGdVtqfIQcQzfBPPnPMaBcH6T7ME1qPkcDSOBJN6XlQILO0ZFBZSjmXEEGUQ5S1abqTytvJaQkFxv3tOttJWjNSg5T30O3I8j4HGa8lRpn9I4Wrdg/aZ9JeCUmsESNmYN0btl+urxarvjQSnyDyeKa5wz2/QadXpkDMRxce8Gxjm+vba9TikCulXQbFIv1KkWfL2+BBy69waXGfr+2dJQoMFS/kE6t36Zoi5xot5gs+15YfcMHrslgZ4IUJ67XWaHxt/EOOQaasHngHkzCLpSTfnR07l6tokvvpkHjXkjiMMZ8BPgP5C3zz4CqTR295ZWTGraXnecYXT8otahYYz761tCQVUOkJkdtHuWKhFtqlqOePy4qX8wDGt1nSQqzHSKjaa4OskTnrSuiqG/pZxwJYL7S4vrdGbTnkSnGXwX6R/rUv8+yzPZrNOteuXWVjI2B/P6LRqHH58grNZhkocu0avPXWLpubfeI4ZGnJUK8POXu2w+XLW3zwg7/GnPdVOi+VaXR81v0WzYH/MD1afsAyyPlnx11uF2T5lBZm8i8cXWAdE60dOyRNXcrOyQSLA4JKEoBro1pEWZdP3P7N086tC8AmPFihJb81ZInPvpiCKCshNU17T8uMB6o9yYglw7RuPyn09PNGjOK/9r5youl6Ujuyzy41Smn9ZRmA67UW1/fXqIUZTZWK9JMiz9a3aRaztWRb8+z3KzTmfC6Xd9MFxwaurW7y1nCezf054iEsmSF1E3K2HHF5ZZcP1neYKwV0umUaRZ/1Roum748zDetb1/E//Ryz+NKlgNbnZXlrteelBs/C+GfAcQiw28C6OH4iOzeGJEl+FPhRgIYxM31Q2yLPPTgLNL1aQSTT5aUlZlPm5cJ9a5lZT4Z092pvA4w2B9DuYQm5BZXL9QUH54pWcCxN22s+o8xD2+aAkRU2ZxM3LCMoqQaBZsHnWnmTjd159vcrNDo+l5d3aX7bXaBJs/n7uHr1Q4z2Do+xYr7ZDPm+73uCet3nxRdvUSz2qVbbVCr3OXfu6zz7zL+gec+Hs6TfJUtIJe5e2q8Bo2+ASeE0EP9icU4LKfv7MMLrsMLpXRJmh6apbzUmAZF0IYlGCzQYWUuWAWu3D4xPQP3g0iUlJ5zH6FsnUsjIVHmpPEki0X33RP0q432XGVKyDWl92YCwK6Bqz/VEPZfQgvHgqj22kzBT/MauwdjHy5pxmt27sTvPflCh4flcnt9NN9vtptevVrbG4maQPmPzjM/3Xb5BvRzw4gtnKPYjqoWISjHiXLnLs41tmjU/ZVr2uS3zsUxGCn4p2CL12/7VzNXFmGbRBl1zJy+r7Yg4DgH2a8AHjDFPkxLZvw78/kdpULpKJwmvafEzucDYKn7SU1FV/1ZIBdicqBMz/r06GE90kpaQy81sGa+LoVolxc6jgiqjIfmFpS+58YA1rrS35aFnZqAuyMqWSMvQxOdqYWskAb8MNIBv/0m4eB34AeCbSSWRHb0QGNBs7vNd37XPuXNtbtzoAG9x5cprPPuhTHjdIXWOvZr9bad/W8NUju0z2rzV8hc7ftITYvmU3Mx3Fk+IxjT6idTfdwmHpikDo30BpfU0TfuTQkMG310Mzf61jFHGyKxw0oLL3k+l1o/d2woj2QdpTkv3oyUcqXy5MuqkQJPnEOcj9Vu6ESGdePOirowX2HtqN6btrxV4meBo+j5Xy1sjS69PqsDZoLWtLwV8FvhuFn2+64O3OLfb5cbdJfDhysIuz65sp0LQPqN9HmmN2r7ZwL0kIgtpOdp2XOMpr0tMIiLtptTxskfEIwuwJElCY8wPA/+UtKt/K0mS69PqTRM+rtjWLC57qbzZea8VQBi5DO3i/yap21BaZjD6lpD1LNi6eS57O6ftfaqM4jLS+6Bd51pJdClC0iOk+YzNg7D3lOtBH/IlK1Ftx6VfXAalJUPzszr/nFSyXP06fOK/AvMc8CRpvuZZUgkHENJsFvnEJ/b4xCd+Gfhl2OrBK8BbpAkkbwNvAptZ25vpdyytgaiXrGkr6yhC5bDx4xMSXMDRaerApNGTpSDKlFQ9e93lUpKDoHfKsLtPSKtKujgkdODb9s0SU6TOW0jhKIWo1Nxg5JaQvnM5YaS1Ia01SZiyjGX6NuYlLSSrKcq4gu27VASsWyFm5F6QZSNSwrV0Z7//0szK76T3beLzibm7fOKJu6P+SXeDzlSS79EqqmVVB/HMOnAv58IkrToPeQzepRA9Ao4lBpYkyT8G/vGs5fO+BybhokMNLeS0EJN0JJW2AqNNeUuk83SZ0Xe+7HuzSVPSTWd5uxUQcss2C8mAA0ZCLBZ/NZO2x1ZBk2sNdexbjoelaxvGknUsTVg6ZkBq8Wg3jRw0SYyyjCW++6RfTn72i3D5izB/iVR4Zdtxswedm6kptU2qXW4C99JLtLPfPcaSSlyuQBinKU1H09yD8vEOK5BOQnBJHJamgMmMQb9fzdS1FSEDtHLSSaspLzHEuhBlrEu2H4g6MsnEMs0CI0YOIwvNWjf2nFW8LEHJ9q27zD6HJeyWuG6JQ7oPYcQUCqJtq5VaYvIZbc8jtVHJlCLGv4o+UNfkZLd9kO+pl/XXJ6WnTcYtPuvCtOekELL3sJDWnXZV6AQLXXeataHhKm9dTHJOHANObDd6HbPVmOYmdAkszdSthVVV9ayCY68vkroOlxnRrC2jPRVybgPMSddI9mKq8UGXlp0jUoBJ96Kka0mncj5rj4xse49xJi3bIuuzH0PZaoRywOyN9OSXDVRJCWgH+Brwz7JBK90adc4+EIxbckNGllyPVABukgq4ITwIRhaYDUlIGrVjZBVZ+3wyo1OPsx77WQTYNAvNZRU/NrDMwf6Gg8woz23h+uuqI60raaVbDbHCQSKUsQB9H2lVaavLlrdWju2TdePFqg39YkukxG2zJ+1Ekiv8tblPdq9Fxl0mer2XfYZ29ntR9Ec+gxWOUpjae1kClj5yOWG7Wd93svNtRgQgFQcYjydYi9G2Awe1P4/ZiEK7lS00obiY9CR3mbR0H9GN+Fhs5gvTLSxZRlshFiV1zVpKUoDZYyucFkkdYCuinLW8pKECIz5tKuqi6oiJwIvB0xMjgHo8ssSsl8DOYdlPqyDCuBIsIZm87TeMPp9u6d/ynYeNac3MEqlLe7MT3XZyyEj6b/Dw22IHXBi2bcs45O974G+N6HuTh8vADvATmbxh+ZC20maxxPKg25iGk7bMciHXpuR10k68sjqHOgfjlo5t02YXyntYIrN+dQsrkLRbUAtEaX1JIebSFlxWXVfULTO+wBlGc9ZOLvncASTZOWPdlNZtqO9r+2QJ1d6/x7hb1d6jzWjiWtqSwk8KG2nByWe2cQHp4hwwzvx04NyOg23T1pPHkgfY+Ia89ySBFOVcn7W+6/wjENWJftAyDy654LK2tJCvqnI2c1DGqqxFViWNea0x2jLKlivXGUkAO1HtpLXag34AyVGlNmyR+QYN4PlQy5j6nAggR/Eow90aLa6YqxwHC8tnrIIqx6JEqsyVYFwrtqagbcyVRSJvZJlAl5Hgsm1aBiCzLGyd9ugZ2YNWPKJLGKX+ax4TiXOxOLbX7CPIY+0Z0ecPK7DeM7Af2ZPmucschVEcFHEdxs17reXnuYWkO8K6LmB8EbEr6cLWL6lrknakVaMJ397H+u7b2e8eIw+DNedlOr3tZxeiYSaXrXvLumBksFvCE9flM+wx0nilB8LOefssVgmw99NuRY2AEXHYOlLLtRmG+v1auKwc/VtaY9IVZJ93FkyytiykQmL/uqzWQ+KxscDA7Y53ndd1pNVlXeOWiVsBpt2Ki6Tz9QOk1pdnb9JkNJFlhTnRsNQa7EuQZpC9uQzcSjebyw3QAq8N8zvADvSD0dy1gszlYbG0ZJNRUN21t5hD7Mhg7x2IhiTDs9cQ5yWRVBknVMv0NKTlFkAUjMJge6IJW0S6B+XwBo7zeZCvxmEAP2zzMALssXUbSiQcjGVoLR3GH1wyVMvMpCVUUNel+0sLJdue1aCkMLR90APpcitayBRdDWspwchF2GQUb4V0kmn3iTXjg/RL5Q+N0RIpEygxvh5MKmVW2Eh6kHSkfd8uSEEs43b6uh1HqQzYPul6roXUtr6LTxUYf48SerylYiP7KBV5curIsva37IOcq4eNsQk8NgJMz2+X4ucS4pLmpOxAnLPWiP1WnpVRV4GlhihQhfZCmY14ng5lGos+68stmnP+QRPPdk5nZc0xnvoI49LUPlA7+2c1Rmtq7ADbUNuB2p30WrKfb+XvTXh+GFdykhiMdtPIvwVVUWaeSK3UShtbVwbBpYAfpIzCNrHDKAzWZcQrbCjCWp/ak2mblwqt7LZ+Vg3Z5lHcjO8Jay1hFMzXhKSFmYTl4jrLT85fGJ/TFQ5Ct29pIoZ2v8zG7jydQplG1We9kn3e3tbTmridR5KuJCO0SqUUkFYbsis7pKCQvueMzh7mkVRItVm7R2hBtWvntXTfVRnvmy0rMyMtrLJqJ699Vu1a0YJP8os81/4ka1FC0rmsAyOBphmthtSGXZ6aPEghJu/xCEJL4kQFmHaHy7+ua/rYWtVS2auLMtL6ajLK+F0kXSW6tEzqQ8xcIe2lMteHa9S8kIX5IYNGkeuscWl+n71BlU5QpuH5rM+3aFb88SyRqri5lSJWmM1l15riIawWWyXzYSwCDQhvjdZH3QdugLkJZbt+ykqBjCCW7sOS1npsP3qpj//ht5es1igJXMIKKiugtLYmA9HSNCJNEPHILNmsrB+MJ2HtMS6zLdqM53/AQZqV/EsrnXCQlrQg1Nem4T0htDTsO5FanXZ5S2KSrgkJrVnb+nZeyUxGyxSlxWY3Fy1DOyxzfbBGrRqy4A0ZREWub61xqb7PXlilE2Y7SCy2aDb8cSEqFUY7d+V1G8SGUXYtpJrRIqNg9x4p3bR4qICVANNgPPVYCi4bz7LPaIWXpVup0Eovhh5rKQjtWGrh47J4ZZ2BuG7bsJbupImvQwHaGpKEZMvoY/tcco643v8kgjkmYeXCiWUhTnMXuiDLyPddZZR1K+eUlSF2HtsEozXgUoVUW1vMLi7CxnCeWjOkthDCKtRqIZ1eiX9y7wpLcwOiuIBXjLnrNXju2Ts0n/HHpeQiKTE0CqSp5Yu021U2Nop09io0wgLr6wHNh4KsKHpfpN322Nj4VjodaDQi1j+5S/N7toE34XYv3cr1q6RZfAPS1Frrj7O+Rhhzaxpr2TXFX+sWsX+1aWMneE+8EKs9ZsSTDEdbFkXxSEgVYmA4vg2XrW6FlM8ogcvSmxRg0jthy8jHstfzvGJaOZSCTO4p+b5CwrimLd1IMGL+LgXGMiHJfCVDl27EgmhPusGlS00Q5UZrnlo5pFYNIYSaF9IZlPgnt6+wVBsQJQU8E3OXBs9V76SKodVEJWMX9273ymxsZxbdBZ/1s5lCaV++tRAjaCdlNobzqfJZ9VkvtGh6PuYc4xqvhbY6bZt60mgrVyoC1jKzCR+WdmTyCRyMlXvq2AouVxAcRhZjSZRF3EOHCKSQleftu3RZerJveQIOxsdjGnG5XJNHxIkmcegxcbkQLbQFK+eAXc9lr1uZYgVXndG+h8vAZYBnSbM4mqRrceeg0y6zsDRMN+7JrKc7bzXYKM2z9kyf+qKPX/a4MVhiq7TO04V5TFCF4AmS5AKNcJX19UWa2VbA7bbH9es9arUKCwslBoOA69eHXLtWp9m0at0+MKDd9rl+vU2tFrOwEDEYhFy/3uPatYBmM4SLe3BxC77nBjz4SrpXw4ukPv8uB1190lfXEwNkYwctxjV2zfHtxFauDukS9OKDSrrlm1ZAeRzMJJReFGFMjt1az3F9XtO0S3CRcy6PH0i8g0rjuwvJuDzG37XWIu2LlT54TXASlunZLCG9xsyDTlxmoTQcCaAi3PEbbAzmWav3qZd9fM/jRneJrfs1nl7Zx/hJ6j0whkbJZ32pRbOaCrZ2WOZ6b41aIWShMWQQF7l+c41ra5s0u5kGl2VLtttlrrfSjXIXakMG7SLXe2tcW92kWfZHiRcwchXICaMntR5XmbmoE1G0MClwUHDMiTKoNqxr15WII9+hdiki/loBbDV9TQj2/UnikX2RFmKeW1G6ai3ks7twDILL4sTXgbkEuIamM8SxztzVgk578M4B5hlG1pd1Iy6CaSe8FK0S9QvUCwHnljrc7C2y8qEelY8Y4ApR7zeyd2+J3d06zzxzhZdeikiSJteuPUEQFLh+PeTatfM0mxU2Nh5Qq8XUaiU6HZ+bN3e4cSPkl37J5+Mfv8DcXIkk8Wk0PLrdPrVaSK0WAb3s75CNjZirV2ukgm4LuAdnvhu+//Pw7V9Md7f4KiMJYQmxRypFfMYSKR5Oam22SJNGDmJW1n4AUc53KRctZCKGhEzAiNSx8kY+LIM65+GWubpMXpzM5W05DN6TQk3HZ3x1rAlR1pMuRvnwNqvPlpMuEeVKMcWEl/ZXiaICdQLOLWY0Ve9RKUZQhqhk2POr7A4qPLO0y0ubayRduHZxk6Dgcb2dCZ15n42NeWqLIbVC6h25+coiN24v8kvRE3z8wl3mKgEJqeDr7peoEVIjs/7iEJqwUZnn6urWSNONxV8ZK5MeCum+k0lY4lnHztl6ruQXODgxJ2nvFjqQK/st25TvQLt4XQLZKr7yuq2v45Oyr9LCd8X+3gVXx4nGwKYJYpfFautZa1uek8lR1gKzXoI5Unk1vwpcIPV9nyUVXhegvVKm9aBCp1Nm/vwQvzzHi61vZTN+irOFD/Dqq4tAhXv3Qvp9j3K5yhtvnKdYTNje7vIv/sVtPvShFRYWarzyyiZzc2V+6qde5c03d2m3fdrtIfV6mYWFCkEQcePGDt/0TWf4ju9YZ28v5Od+7h6XLi2ytjbHuXMLNBoJYdjn5Zf36HRqNBpzrK9fyiy3+8BFWPpuWHoTPvY16L8Er5EKtDajbWikZJB+u0UOLsCSAsxKgkxLMJkZZVP9pUfRKndWgZdrRe156XGy3bDX7Rpnl2chT2i4hJc9lkqhSxmUYYg8+nKd13zmsYT2s8sOa1+q3YjWDoZM4ZVWmX2B2l0irXQY+e+zuu1+mdagQicoM18e4kcFXtxaY3NY52yzy6vBMsQJ97Ya9Ise5STmjf1FiqWI7V6df/HqJT701A4LFwe80lthLg74qRc+yJt35ml3y7TbVeomYKHUJwgK3Li/yDet7/AdT26wF1T5uZtPcilusRb2OZd0aMwFhBXDy4Mz6e7tiISSOUb7O9pns0og4rnsM8uxsIqhxUDUKWVtuHa4se9Bvi9bT9KgJR7pk5dlXbEw+f6lQNIC2b57md0oLXZbRt9XWl/yvLbu83z9x4QTs8AOI7xc7mYrnLRb38a+7D8ZA7tYIHUdniPdxu9JaJ8p84pZ4fOvfoAoOsfS0gpbt59iMFiiUFih1wv46ldjer0e+/stgiDmyScXePbZeZ5//gH1epH5+QqFgiEMY157bYvbt9v0egM+97nXAYjjhELB0O0GrK7W8P2I1dUGd+92ePXVTUqlIpBQrRZZXKzy2mtDLlxo8sYbAZ5X5q23Il5+eYfNzRZXrzb5+McbPPvschZLqwBPQO2b4aM34KNfhdt+mvCxwfiCK5tpFTMe4N5kfCGWJYieOLaMbf9AOOzh+labtKiVNOvFtPRnu6ETsRB17ByQHjAJHRfLi3nZa675dhQl8bGOnWkryKUda6EmY1y+uqZdYTLJwAo2ybyz+7ejMq9srfD5ty8ReQWWmn22/AUGfplCOaLnFfnq1ll6fpH9boUgKfDkWptnz2/x/MYZ6pWQ+fkhhWJCWC/w2v1lbu/O0RuU+NwvfgCSmDj2KJiEbqfI6kIff+ixOtfjbn+OV28vUSom4EPVi1isDXmttcyFWps3gkW8Ysxb8Twv31pls13n6uIWH1+9y7O17dRVKS2meva8PcYFnHYBWGVPZhxa2GUnea417UrSWlskypREGUtsBXHsUlysFinvp89pgaTLakxyZ+g6k1wXj0hQJ55Gn6dta0XSnpPCSyYljZTGMpvMk1BmGZ95WszhswDwzdC+UGZjeZ7OUhmznnAv/iB7e99KkixTLJ7h+ecrnD07z7VrF3nppX3eeOM2Z87M0Wr5RFFCt+uzvz+k1/N56aVNgiBifX2Ry5eXiKKEL3zhbV5/fRffj6hWi7RaPnt7faIoYTgM6fUCzp+f48GDDkEQMRwGfOxjF+h0fF56aYv19QWq1RK//ut3qFZLxHHCxsY+b77ZYn+/z82bXW7davLt397gu75rhWbzLrBFux2ysVGj0zlLo3GH9WvXaV4YpPsO7pBKkTbj69DaYnDlojMYuVO6jFZV70Npf7RcxtJPl5EirhMxInHeFWazPFHe0v6WQhLG+YUtI48tpNJHTpnDWlKPteCCVCu0cElseywTOLRwspDaRQnalTIbZp5Ov0yj7LM+16JZGmUMtuMyG615Or0yppJwL5hjr1cj8QzFesTz2+c4u9zh2tObvHRvlTfaS5yZ79HqV4iKHt1ehf3Qp+eVeOnuKkFYZP3sPpev7BItG77wK+d5/a1l/MhQrfm0OlX2OlWi0DD0S/SiCueXWjzozBH4HsOVEh978j6dqMRL/RXWl1tUKyG/PjhLtRIRFw0be03e3Fpkf1ji5u4it7rzfPuZt/mus7fS+NhAPFe3TMP4rNdbNIv+yAVvrTFrwUh3rYS0aG09/Q7spLWWsbRgtAtXCintAnFZS544r+eFjMvBQcKxZVxr1lxEoa03RDkXYT6iS+NELbA8gWWPtXteCy17zdaJKLPNGnVC5hiSUOQWa6yzSXENfm15heejMyw/OeDSdy9z69Zv59VXFzl79hy9Xom33hpSLJZptyu8/bbPl750H88z9HoRzWaZarXEwkKf+/c7/OIvDtje7mCMR7sdsLGxz+c+93VeemmLSqVAvx9SKhmGwwjfj+j1Yup1j34/ZDCI2N0dUi4XePXVbZrNCqWSR6lU5O7dNsvLdV5/fZfl5SqvvbbNzZu7BEHM8nKdctnw5pstWq0S29tzPPfcB1hcXObWrZhaLWBhoc5gcJ7r1xOuXbtJc21vtObsNmkoTafPzmUDabOmrE+8xCh7cRuIwVyApUywJcNUNsK4N8rOV5tbYoWSlZ12zaekCSnQ5DmXhZanUOZBXz+KMHrsXYcwvgbP5TqULimrXWjIBB5Sa+p6a41aLWShMmSQFLkerHFtfhMK8Mpwhec7Z1iuDbi0ts+t3gKvdpd5cm2fSjHipQcrDKMid/oNKt2QL905h1dI6IVFmvWQamXAQn/I/X6dX77xBHvdKnEI+0GFr3cX+akve3z9xgqVUkR/WKREzDCs4IfQ6xWp10L6wyKDoMjuXp1yIeTVO6s0qz6lYkSpGnO3PMdyY8Drd5dZrvZ5bWOBm7eXCQKP5XqfcjHizf1FWkGF7bDOc8t3WEwG3GotUDMhC9UsWWSwxrXm5kh46zVxMeO7gSPGWDIxGM9aku9Kb3qaB1dChmzXYsQcDzJZqRlqIaaJRiZ8WLgsSq1lutyY9h7HgBOzwLQbGQ56PnR5l3dDvp8W8xQJqRBmW8OFLAJdVrh+rcCdJxusfqIP5z/JCy88x927Dd54w+O11+CJJ+bY2ekBfW7f7rK1NaDXC1lfb7K5OaBa9YjjmHv3ety8uUexmJAkBRYXq/T7Pi+9dJ9yuUSSRDx40CdwcN7BICIMI956KyQME+bmiiSJ4Utfuku16vHkk4u8/nqRtbUBcZzw4osPuHu3Tavl02iUuX+/S7EYsbcHSTLHzs6QIFjh85/3efLJb6JW6wBDajWAOhsb61y9GkOtk27CaK0u65PfzjomF8B2GWlsVmOyEsimfGbuRBPAig9RZxRWs94Skck/tpGBpgG51EbSU54FZbuZxyMmKXuIcrLe+w4ut4ZkiC73T8xBqwDYGMxTMyG1IIQkTYPHg1f8FaJqgTtRg9VaH+rwQusMd4MGd/oN9qMKpgS3WwuUSwE7u1XudBu0gxJPn99jc69BdS4iNgn3thu8udWgUo3wB0UW6j5hIeDrr54jjj2SJOHBVpUgsOwqyf4aBkOPMDS8dXeBMDLMlQxJIeFLb56jWgl58uw+rweLrBUHxEsJL26vcrfbpBVVaBQD7vcbFAsRe8WQpByzE1YJah6fv/8kTzb2qXVCiKFmQjDpUpurza1x148dT7t8wAoEnRmshZilKy0o9Dt0MUQtYFwWd0mVk4TiSuuXmEQ8eQFoF1zECZMJ9BA4MQvMBZeSIJOl8gScPfYpUyBmmyWKlCgQ8CRDPv/BC5y/0uXB5TpPnvlBTPw0Dx6U6HQMxgxptwe89NIOe3tDdncHbG/3mZ/f56mnlnjwoMdwGPHgQYc339wHEgaDAGMgihKCIL3W6wXEsU8cQ5zzYuIYfB98P6JSgU7Hx/M8jBkyHBa4dWufmzd3OX++ydpanRs3dmm1BvT7YdanMpWKoVQydDoBw2FMrVak0wn42tdgbW2det3n3LmYJDnDyy+fodNZotFos75+h+a5+2nW5T4jX6z1q7cZbWkvmV2XkeTRrpKsrFeHQm80H62yZg07u5xsnvHd5SUd6KQPcNOJNQ5kOUsbh7HC5LljVgpPDpJZSN/sJLNWuqK0395L0+A9E/P6YIleXKJeCmiUhnyxc4HzC10emDpPVvYxJXgQz9HxyiysDrixu8yg49GOPHa3m+wOKzQWfFaXejwYzDGMPB50arx5ZxGKCX5UYdAuEIYQJB6bnTq9Xpk4Ts+NY8RB4tjDjw1+UKRSDOkMy3hegjEFhkmRW62Em88vcP5Cl7VzPjcezNPardAfFNmOasxXfCoFKMURnX6VYVKkZkI6fpGv9c+wFvbT7MlihySBl7tn6JTKNCo+6+XMldp0vAO7/ktCpvC6LCz5nuSElmXtu9Hr8PRaLp2BqAmkwEErXGuG8nmm+eSnQQez3+sWGLiVPm1Nu5KfNEbWWMIma5xnyBI+FSr8YuMCxSsxyz8wYPfGv8Hrrz8FlGm3odUK2dnx2d0d0u8HgKHXC6hUPIIgZmury9tvt6jVSgwGIb2eTxzHDIcxSQKeB/v7fq7AmoQwhCiCSiWi243pdFKhNDdXIgwj9vd7PHjQpd32McZQqRQZDEL29nzOnatTqRSpVot0Ogmt1hDfD3j66Sa+f4YXXggYDgPW1tosLNQYDOa4fn2ea9eg2dwEL+uw/dyEnVzWvWTXj6VL1EaDrNOEpcQS78fSik3eAPe7ll+BsG58q5hNWquls/0lHsWqmqQUvmdS6F0BQelW1ExOM1L1oMYkXA/WWCgOaZR89qjwq70LFIsxy4t9drtVXm+n2YTtSolWXCUJE27v1wkTD5MYenGJkpcQG8Nmq8rrby9Tq/sMeiV6fpF4YAiCImFYoFgMabXKRNFhnLYFICGMPKLEUCv59IMiHb9Ca1hhbs4nvFNjvzPkwd0K7VYJk0RUijBIPPZ6Zc7VEyqVDtViQCcq0fKr+GGRp5f28YceL7TPMIw91qq9dE1ZVOR6d41rtc30q8iShqQbQI6/TZSx16yQs9lPrskn3UyuVHVdTq/fsig76kgrDNFH7e7TWp6Ob03if8dkaeXhxJM4JFxKhssDUlLnrOVuDYsaqTurR53kGnQ/UuX69R+iXL5Cq+Vx82aHc+fq+H6CMQn37/eYn6+ys9PHmAL7+z3CMObBgy6VSpFWa0gUxQwGIUnCQ40wegRuaesOhwAJpVJCtxszHIYUiwXa7SGDQfjQyisWCwyHIUmS4Psxc3Nl5uZq3LvXY26uwv37XV58MWR+vsz29jwQ8/GPdzHGy9aUwcbGE1y9WoHaHqy1RvtrlUl397A58Hagh6SWmRRWESOCsy+oPXouu7HBflbUWlxSIGl3vVTM7G9Lh1Kg6YzjSTFkW+4wtDOp7GNvndnAsvarW7j875qgZDnxQkyQfW6kCtuDOkkFuqbE9XCVciOm1atw894i51Zb+IW0M3v7NeZqPrutKsZEtPp1/E6VKC5Qrw9p7VWIYo9Bv0iCIQzTTvv+UVmSIUoMkNAfpIGpUgn6fY/hMFVY2+0yg0FCFBmCoEyxFDA0XrqNpFdkbiVgbjnknmkwtxhw/8EcL3ZXmcdnO6gCho8372KKmUsR2OjOc7W2NRozKcjgoM+8LMrAyOcuU+Tte8jjL5ZA7ASX2r/W/iLHdRhf3yeXUuhMVNmO7p/ELBaaznrMq3sIPFYCzMIKL3ksvRz2t06lr2G4yCZFGlQoc+9CmfqnQirN78TzzhLH83Q6PoNByK1bHa5cWeEDHzjD22/38P2QTifNNDQGkiSh1wsJw5gwjCkWjTOudVywbafZihH9fkShAMakArPb9anVijQaZdbW6lQqZTqdiNu3e2xu9vmmb5onCFo8eGB45RWPJ56oce/eGc6d26bR2Kdajdnft4sLVrMvW/rpbiQ+6bKCEpBtIHwg9Q/GtUQbtIpGl1qMLC27bEVW11+10HFMLXDk8cPPwXBQ2Mnu6fMy2/gw0B6P9wR0oBgOxlfymJMWcNnLSRLD1eom95MGHcq0vDL1UkilGuGVEuKCoRMWGfgFbm0vceX8DusX29zcWmS7W6XdLxMnUDAxYejhBwWSpEoYG4omJggnLaqR6Xw2PU9nIGmM3ItBkEqLKPIIAhgMoFAIMYkhTAzdQZGal9CoBaytdqnUQzpxkdthg82wzjc9sUXQLfJgu84ruys8UW1zr9fgXL1DoxxQLYTsB5XxIK6OLemlCFLw2InfZJQ8NWS65pX3jrVQ0JaSLSPp2BPlIw66QiYRQR6xuvqYV/cRXRuPnQBzxbukwNKCzG7QuwwU8Kni8UF2WWrA/sdqdFY/wMrCCmtrl9ncrNBu36Pfj4jjiJde2ub8+QGrq3W+8pXbRFFCGMYEQZwJLwjD9O1FUcK7CR1L831YWPBYWalijGF3d8iLL+5w/nyFJ56oc+FCkV5vQK9nOHeugOdVCMMBr7++yjPPgOclNBodcYcqlPzxL3xal+Iiqe9vj9GL0AsghbskGabCSy5g3mNEE3YtmFz3JYWQ/Wubt0phHg14jLwvNh6mk6SkYimhebWmz7zfjz0sgegHdmm62lJDnJc7a3jQKPgEeDxT2oUKbLZrdColVhYD1ppdNntztDtl+oUicVLgpZ1VdqtVmmeHfP3FFWLP4A88gqiAH5YIY0M4ADBEXuzohIT8+qZ2PE8TZLJM+iZTmhqxPD+EhdKQleYAQ8Jup8KL3bOcX2zzxHKLC/UuvbhIr1jkXKWLR0IYFXh9b5lnFnfwTELD+OMuBhnj0TElV5zEY/x92AmpXX0aJXVd3ktqbXqC5ykwkq5dc0Zbe5JYJfFNcynq++YlkcyIExFgdt9RLagsDaKu2aUrMjZtN4FvZmXngTla7LBGFUi+JST6TQVu3TrP2bPngCqlUp12O+TmzX1qNY84hrt3W4RhjJd9EKzXS9dqaffgo7gLjwNJAu22T7ns0e9HVCoFrlyZ59y5CltbXRYXa1m8LGFlJaHf90iSMpVKzJtvrnDhQpHLl/ukrzzzgZoClOM028JKF+nHr5JaaFYK2S0zBLH6nfEvp7cZzUu7eFl6R6S7Xe6245rD+ryLZbloRdOE9XZq4eTiFe85q8uiwGhvPXtsoTVlTXSSsKT/3oP1uMX1/hrUoVoMifoFbnUWOFvpQiWhNB/Rvl/mZmuFWsUn7sLdzhyhKUCYUCAmiIv0hkWiGKSFFEXT1G9pgUnb3S6d15z5cG8uSQq09yuUSemlshpy5eI+5+a7bLXqLDKk3a9g4oSVWp9+UCQBKibkzb0FLlQ7XF7azWfYVv5O0pIs7LhLq8fSmYylWOtJa3izCgKXgJGBa31e/tY7geT58G0/Z3UTPgLBPZIAM8b8XuCzwDcBzyVJ8qXD1LfPZGNYMO4S1IqJXZZkjQabeDNHajjM4/MBNuk9Nc+dj87R90pcu3aWQuEsrVbCjRtvc+vWPkkClUqZ4dDnwYMehYKhVivi+zFx/PiyL99P6PV8wjDh5s0WV64sUq3GQMJXv7rHcDjg6acjnn66RLHYp1Ty6HYNUVTg2rUizWaDNDqVIYlHk6wn/u4x8v95pNqCJSgrrdqQ9MY/hWJ3mrdJizLjEMZdi1ZeuugGDiqv9pzrt1QOfXEM494QGCmLlv6mufLfbRyZpuwGoy4m5sqCci2ytMQmMlSbBZ9r8SYbvXnuxHP0C0Wund2kMA8tKty4t8it3XkSL6ZSDRn6RR7sNCmYkFrZx/dKxLHtwGG9GNIC0+c1XLNousvRjwr0wgLhsMLNzWWuXNqnmoRQgK/eOsuwU+Tp0h5PV/YoVmNKxHSjEhGGa0vZmjA5ibXl5JpkOs4oz0nBMG2LKNuGJRaX5qbvq1N87W+XxafvrdN/db8mwTUHjyH991EtsBeB3wP89aM2YN1BFdyxLrvJtbW0SqKOdiU2gafqPvzmLbi6ynd8c42NjW+iWl3j0qUazz9/j34/4PLlRe7d69DrRXge9HoB7XbM8nKNcrlIkoR0uyfNyg4iimBvL6RaDWk0Gjx40KXf95ifN1y6VMGYiBs3Yra3Yz76UY9z5xI8r0CpFNNsWubR4KEqZQowiMetK70/otW6qoyE3B74w9GWi23G13rZXXPsP0sH1qWnPydkaULTQN78tuUjVVa3rZOy5Hkd+5YuzUnJXu8CjkZTBQ5+GgTGmZ0tp6/Zc9ZHX2KM2Jqez9W1Ldhd5TsW32ajO0+1HnJpucXz987QH5a5fGGPe7tNeoMiHjGDsEQvKLO4OKBUjvFDjzCcFOuaJGimKZU6Vub6ndNy5LG3X6NaCWmsDHmwU6e/V2S+4nNpcR9TgBt3Ftn2anx08QHnah28uYSSiWgW/PFbTBMeVh7LyWbHW8expFtPtuFaAuEqX1BlbZ+0e9GFWeNSLgLVbsZJkHGDI+KRBFiSJC8DGJO3sisfVhDNMc5QrFCqMnITSqvMejmsx6NEKuQWSPfmZR24AB3KrKysUa2e4d69Eg8e9NjdHZAkCe22z/x8lVZrH9+P6HR8yuUC+/t9CgXo9x8/4WURx2lSR5IUuHFjj4sX64RhkQsXqlm/E5rNhGIRXnwx4eLFIs89J58nJB3VBvitVNpskxpme1kR6y6QQax2Vm5n1JIVWtLaisV57aafpBDa9qRyJq9F6q9slynlLC+WMTOZJGb7ouNyuq/vBh6FpsYgmZtL+5XXJGHJupboMiLsmDIrtT7VWsg9v8GDnTq77SpJDO2gzPzCgFZvgcAkdAdFCgb29mt4xYgwnMRqXJ+S9tXfWSC32tfn8hHHBcKgQILHjY0lLjZbhMUCF1Za9PfLEBmapSFFE/Pi3hoXa22eW72TVtZamtaK9HYzOsvPxcC1hqWv5ZXVQyjjV9rlmPfb9gl13dVPV/KIy7WYJyyPgahOJAZmhY+ObVnBZWlGj7E8Lotyi9m/WoU0m24RGk/4DAYfpdGocO5cjc3NIXNzReIY3nprjyRJKJfT9V3GkKWpx0RRusbrcUW5DOVygc3NHp1OAd8P2d4uUSjEfNu31fnYx8q8+uqQN95IEz8qFUhnkF0NKjZ2soEqK5zkLrpWiNnr7dFvPx5fjCwtYXlez1udEWjnuvz4pVZoJymKk7ILNR1pi8vFXySmxb0fS+TlROSdlwkbLgvAlsnaaBR8BkGRRj3gnNdhc6/OXHlAnMzz1p1FEpNQroQEgzIxBcpln2FYJPI9kmQSq3G5Ca1Vpu11F1xCanbBVy6HlIshm5t1OqUiftewXQ4oDODblt7mY7X7vNpa4Y3uIn5coEKYNu9Ki3VBjq3O/stzL2oX7yxZfq5JKwlIZ/65hlP2VWqDLsHk6rt0cUzLpjyGaM1UAWaM+Wek+7dr/EiSJD81642MMZ8BPgOpE8t+hFIqeVKQ6XVDdlysgLO/lxm5F1nJKtRh/SMtvnijQKu1zyuv7PLaay3a7YBqtcRg0KbXC4AecQzNpo3AJSRJ8tgKMGOsBRZn69IgCCKWl0tsbvp8/vM9PvnJgJ2dhIUFCALD175miGPDpz4VcuFCSPrK7wF74z5Au5kvjIJTNh5mBdge9ONR3Euu47I7THWzc9YSk2EZLbgkJC+wc97SgBZEeZjER1y0JJUinb+S1/Zx4J2gqUsyAUNDW1bW6pKw52U7MuW6BOurLb547wKtdoVXdlZ4rb1Iu1+hWg0ZtAy9YQVi8ExCtZKmq2PSLdeSJCF/Dx4tbMrqL4xUHVve+uJcb2Z24WWIiGNDGBSIAsNgWCMIiiyfecDmoM7n713ik43b7AyrLHhDgrjA1/yzxBT41MpbXKiJzF4dB9MCQI65vpb33uzEdBFDnuttFmGj25LnvJy/+p6TkjhccLlHHlE7nCrAkiT5rY92i4ft/CjwowBnjUmaHIx5Wci4JIx/bgjSebDIKJnjYRKIbWiO1KdITJKEbGy02dzsUyoVqNU8KpUi3W5AGEK5bIjjmH4/JIpiqtXHV9+2i6jl1jpzcyVKpQJhGHP79pCf/ukB3/ZtEd2uTxSl21Tt7fn8xE/M8/GPB5w9u8X6+g7NJJNEO4zvyWYF1yYjt2Im5PxheqkniloXog2h2Uxued1C0rV24cFIKZGbobu8X7K8bU9iVmEj+Y3Mgj5OYeXCO0FTH58zI7XLFfOSn+KQWoVL09dEaa0Nk55PEtjYb7LZbVAqR9TKIZVSQrcPYVikWPPBi+j0KsRJkWrV5X+aFPdyJW/oY19dO4yrcYQEL6UpCtkDxlQrPiUDYWy43W/w0+3LfNvKbbpRmYgCJorZG5T5ibc+zMeX73C22mO9lm0rpa0k6zKUQ6AtYp1QMcnVp90O0rqS2UnymmxTtxdwUFjpcvJ8HnFMIhrp5tQC8RGJ7RHCZ492U/nhSe2qd70/13uRseayvVACurDxxjyrqwEf/nCJZrPCykqNVstnZ2fImTMNVlbqFIsGMNnuF4Zi0dDtvtPs6/hQKMDSUpnhMKZUMvh+us1VugA6oVgMWVyMeOuthCDo0+vtEAR3uf4rK7RfKY++F2YfeUgquDZJhZtN6NiHaDi+jst6Fm3moYxxSZ5ohYMUavIf6red53prN13OBZf7XwrDKOur3eLK/tNuz/ck5HpgqS1bv7x2CdnfOhVUxj3lYASwsT3ParHPh89s0az7rNT7tHoVdlp1ziz3WFnyKZYioqRAEJUolgyeV6DbtbtiSmgh5XIj2nL6n6vMUTHaGBigQMJcKaIXlCh5MX7sMaRIoWQwpYRiOWaxMeCt4RKBKdCLywTG43p3jXbgeAZLAFLbk9fg4KPnTUL5Tmx7LuJyteNyA0pC03FQe30a8ohGukq1UM+zOI+ARxJgxph/1RjzNvBtwOeMMf90pnoc1J51dqiMh7nW8FhX08PydquGTKvo7JapVneBDtVqge3tPq++ukWnM3i4JdTcXBnPM9nuGwUqldKJr/c6DIxJ1601GiXC0FCpeBSLCbdv+1SrERcvdgkCH98fsLq6Rb+/Q60XUOuHbNyYH2Ve7JAKq9uMhNYmD2NgfjCysPTXkyV92mMYpxVp4cgyUrDoJA9LWzY7dVZBZhNKfEbCSa5Hs98xmwWuxJN3GkelqYeLKyWkf9QyOp0uKrNNu4wGzP6z7uMBdNplqqQp5ovlIb3Q47XNJfa7FVq9MhEwV/fxiAl8j1IppFbrE0V2DxYNndFwuOSLo8PunwbarWmyLam8ckJYNVTmQorliNvxHNVGyMX5NkHi4VNgtdKnn5SolUJqpZCNcH6csblcAzJGBO6MQFnXuntt5pplkq4lE9JC0/e2513CLma8HzqbUbtbZH0tkF1E45IyHscizB41C/EngZ98lDZclqpUDCysqxDGx3tAthm0faHZvG/gMxi8TBR9iCS5QBhGDIdRtqVMRJIkxHGavFEul5ibK/Lggdyp4vFEMXtjSZJaYFtbAxYXyxQKUC7HfPSjBt9PKJe7VCpt9vagXG7TbL5N3fdhE6qDkP2tSsr0rNDaYfzjl1nmYRSMf89LCi+tWFpLDMbdwPa8Kyt4mpCQbmbtPYkZxdy0ANVwnc8LFbho3+KddlkcB00B40zGDqJMw8xzEclEHunyiDOaiorU4pDVepe9bo3+sIRXiQl7ZYZBAQMUvZhyOWauGvBgS66uzuvorHAJuMPszKHrpiiaGBJDQkzBJOwNqpRqEbGXUK4lfHTtLr5fpFyJqBRD9lpVyoWIZnVIvRRAAaomZH9YGW3NZh9NxhH1mCLK2XckhYIVWNIdkRc/cg2jfs9auOk+SQFn2/cY/2CmPS8JXGuXk9yNuv+PaDCc2FZScuyk1eWJ8wMOuhlh9A668pr0Be/B+kKL6/373LjxNjs78/T7Q5aWqvR6AUEQEwTpF5Pj2FCrpW7Gu3cffwEGqeCK43Sz0jiO6XZDVlcrXLpUYne3x9mzXe7eDYjjLp7n89T6bbw9OHcu3TZjcKdIY9cfxbkcVpeVWlZgSSVezmOZbS/nvlbMXJ6NgvjrEjCSZmwde79pCU4Shyk7rd67bZEdCq4sFe0WsphFSsvUax/WvRbX99cghtvbTQLfsFgd0A4rxCEkcYJXiPEKhloxoFkOuBvbVfA2xmThchnqTmmhlLcf4lGsNZFUkiQUihFx5FEqR4QY/MBQ8SIuNVrstmqcrfa4u9cgrhi8KOaphT08D85lSRyDqEjDLmq2j6KJwkIKABlrzAvqSg1OXtdJIZMma54wkVmosh96PkTifi7L0gUpyFwxv2Pwdp2YAHPFuzSkUiJ3VZGC3yMVZHN2kW22n1Gz53PpmTf42Z+9y4MHqywtrVKpVHjttR3qdUOrlVAsenhe+tXkdrtFtephTPRwrdXjCNuvhQWPpaUiQZBuOry8XOfq1YRKpc32dpdyucOVK6/RMF1a92tcbLaY2w/ov1akv13ksrebCqp9UhdRi/G9oLLJaulCh0rk3PM5GDKxsB4Q6SzSQs7+tZaaDsdIuOaLLOOi80nlJ51/rIVVHqx0l9qgKzBvobV0eV766ANo4nOtuMkr2yt8+a0LNMo+H1ze5bXdZfy4gAmKxAnUTMBwWKDdq1MtRRgMcRQTTvUVzaKSH4fwglR4pUIsxIOwwFKzz0JzSKdTIoxKLDPkanOLSiFiu1+nnERcmd+lMT+kNaxxsdpizgvoh0X6QZHLi7sHBYl2x00aAm3hWI1RCw75V7oTLcFIzVAnTui/ruzGvP7LtGNbX95DCyoJrbUeE05MgMn3qIWz5Z9ayNl3Ws1+y40H+gHUNkn9iXeAr8Ferczly2/w8stPsLh4hnp9gULBcPv2PuXyHHEcc+7cAvfvt+l0huzvDymVEiqVInt7R/vO1zsF6zq0ltfcXIlms8SZM2XCMD3X6QyYn++zvHyPK+uv86HVba6e26K9VGbj+jz7Nyo0tn0uB7s0u/4o9hGRBodsDKSbHneD8TiVdBVKiwzGaUEPm6UvazHrdvSXJHC0IWHpJU8h1JadDjvM6rk4quV2YtCuimnCy8ZVLKRGIWMvwgRvlnxow1w8ZM5ENJtDCl7Cxm6TtiljYri0ss/9bp1OUGG/71EqRFQqEXu9GvFDK+yoguewGYfp2zZEJGoQPKKHYqxUTKh6ERUi1s/uU4gMJZN+5HK+1GaZPldW9vhQc5urtS3aQZmN/jz7UYWG53O5uTv6LpgLkvlbuJIttdvBTl690FwLI4m8SesSgJGjD7IM4r5aM5RxAd0HV30pxI6JsE78i8x56yv1ChB73mrzlq6kiznZAdMklWyvQ+dimXJ5l5WVTVqtMyRJ+p2gODYsLJRZWKjy5JOLGfOvUql02Nsb4HkF6nWPTifCGPCyl/NuWWXWRSgxN1ekXi/R6QRcvFilWEyfYW2tQrvtMxwOKRZ7vP32Jmfmtrhk9ul8vQw9aN7zubq1BR1G67rs5LUSxAbss/hXPx5l7Mm4v62Sp1DZbsvMfMQ5K7hckPQgM291O4hzlrajnDKu+fWeEkqzQqe/TzN2XC/OZSFIqZ/VudFe4tr8Jq/0zhAP088PeUXwwoQnz+7xzLl9SnsJHX9IZbfBXq+MlyTUK0M6wwrGJHhemv2XfgfsMLuOHFbwpbOiWErU55ASqrWIRtmnNyxxcbFN0UtYnBtwcaFHu1Vi2C1SrIW83W5yptrjUnOfTlyGara9lrd1UIDIUIY91jFGycC1EHNNTqmFuQLJ8j4wLnBiUU8rM9JygoMEpAPauswkd0eelqif770aA9Ow42PXemkrWI+fJ8ra5Noq4G3zcMAbaz7+uYhPfvIm//JfnuOttwoUCg2Wl6skicmy9xLK5SKNRnrHUqnA/r5PtVqmUomI4yT7DEPMYJAmgVgLyPcDetZ1+YioVguUStBux8QxD78FliSp9ZUkCdVqkVIJgiCm34+o1SCOSywuFvD9fQaD5xludfjEb7hDcSOhtu3DLUYJGnukLkO5q7zNhIiAXiq47DovW0S6cG0ugE6pl8kd4I57VUUdW0bC0oMrNjZJkEn6dLE3LQzzkkLe05i0ma+Gtrosg7K+Yp2JBuPxlho8s7DHoF3mpfYKkYFiIaJRS1ha8gmrBcrVmEY5ANOlVAzZ75apJoZKsZ/xVUOcGAamSBCkGYtzczFBYOh27aKzR0OpGFIpB3R6VYIACoUYY2KS2KPshRRIKBUMS3NDgtCjP/SoVULiEiyuDPD3iwyGJYZhkU8s36FIQq2YzTDJiAqMT2yd7i5hJ+qkzCD7PmRMSmrxdsK7BMwkN6Ur6UMLNZcQk9aCq669rySoPLeIbdNV5gg4cQEmGZZeU5nnDRlb+5XBWghz9ivCb8L6Cy2+Fp+l+E33+eAHbzA/v8BwWGZu7hxvvNF6KBy+4zsusbGxz97egJs3Y9bWGkRRQqnk0esNCcNUeLVaw4c7CjSbJXZ2BsTxgPSLykW63XDMcrICSKNYhCgaXavVDJVKgXq9SBAMCMPU6iuXPWq14sMMyjiOqFY9oihmba3M/HyR+/e7PPFEm8uXv8YZ7zbr51rM3/bp3ypyOdgduQU3ObDzbtQb0Z71XEjZZgWXbULOOym0pJtRQse67Hua5gZ3ZSxaTPNU5FljLq/FNHd9Xr3HFrMILziYMgoHGbB2DdlYTBWurO7ycm+VpXqfD9c28Usee8Mq+1EFr5pQLEd8x8dusfFgkb3tMjf9BdZqXaLEo2QiesMSYdFjYDxa/QqJScBAswk7OxWiKO1AuRzR6xXHNgHOo6lCwe6iUwAS6qUQU4ypFROoDuj7ZYpeRLkcUysNiAKPQegRRLBQConiAmuNNvNln/s7czyx1uLyxV3OxD3Wiy3myz79TpHLK7sHiQHxO08Q6Mkmx9eOrUswSNj2JcPU/nELl7DS5VxWkqw368TXrsRJFtsx48S+B2ZpRG4n5XpvHuPKCIy+AyZhxzoJwGRrm5ov+Xzq3Ft8/u0n2W+/zVNPLbGwsEyhAN/5nVf50pc2efPNPRqNEh//+Hlu3dqnVCrwwQ+u8tRTC3zuc69RLDa5eLFJHMMLL9wnDGPu3++xuFjN9k1MaDTK1GpF3n67TbcbPLSgPA8KBUOSJERRKrQ8DyqVAnGcMBwm1OsFzp5tUigYisWUQPv9iEuXGtRqJbrd9PtkrVa6gml+vkixmEaSut0Oy8s7XLv2FX7zM69x61cXWL3bp3Q34vJgl2bHHy1IDiAKRsZWXoJSQGqoWX4mlwpJSwxxXe5iMQnS8smby9IlnAd5H0mDs1hrqDIWMW6aP0Zl8Z1HnvYLB1OoLeQASkKzTFW6JbP93p6tbdMaVrgXNViZ61OaS7ha3ubcmQ5fun+ON1uLNDyfj1+8za1ggdIw5INnd3lqaZ/PvfAMxdWYi+c7xAvwws0zhAbubzdYXB4QhU2SqEyjGVCrRty+26DbLRDHJtuzNO1soRARBAXiqECpHFKIARL8oESp5LOy5FMrhfjDAo1Swr6XcHGtTaMU0h2U6PkerV4ZE8G851MshxAbup0Ky/Uu1xpb/Ob1DW7dX2C10KdUirg8t0sTf9zSkK4IO256XOV5rRh4jnNayMj25L7HmjHqe7omdF67OqamA9q6LZeWN0mQavemtOgeQUM8cQvMQrprNXORzM4ubgZ3/DIg/UajXaB74SsdfsfZ1/j5BZ/23Cbz82XOnSvRaJyl0TjH228vkCTpNgbf//0fZGGhype/fIc4hjNn6hhjaLUC5ufLXLmyxP7+gMuXl/nQh1b4tV97m+vXtyiVCpTLHisrdd58c49OxycMY+bmSsQx1GpFoihhba3G3btdhsOIYrHAxYsVogiqVY9SKaFQSFhaanDnTh9joFaDwSChWjU8/fQiN260KRR8nnkm4sKFbfr9TQqFB+y+BkvtAR+99YDmK37qLmxDNBztOmHHSmf6aWFmxzAQZaWF5aIDmYSh6VTDuiCtF8TePy/G5cKk8lowu5SiPDfkJL4xqT+PBaxWaKE7nTdoOmsRDhKh9NeTJnI8d+EO3a0S7ajCUmXAuUaHhgloXPB5u7lLEhjw4fvPv87CMwO+vHGBuGc4U+tiagmtQZn5ypArZ3bZb1e5/IF9PnR1h1/72nmuf32VUiWmXIlZ+XCfN2/N0+lUCEOPZqNHEnks1Id0umXmyn0Ggwr9QRFMTKPZoxuVaBaHlOMILy6yUu9RNjGen7o6vahAzcDK/D6bnTkKccwzi7tcKHfpm3QX/d29KkvrAz56/kGanKEDwHKy6bH2cBOW1ory4lkynql937Id6dadZPnlBap1Xdl3HUez1yYJRd1G3j10/UewzE40jd4qePq96Xngij0G4q9UHgqkO0eUC6Tcew+aX/D59LW3uG7WqD39v1Odu0G//7143of4vu97mmZzGYB2O2JjY8i5c03a7SEf+tAa9+938LwCKys1BoOQF154QKFQoFYrce5ck243ot9P/eLLyzUqlSIbG61sj8X0W2Pz8xUKhXSnjN/4G5+g1RowHIZcvrzMq69uYwxUqxG+n7C+XuM3/+azvPjiHr1eQLNZoNEo8LGPJVy54lMqbTE/v0O1ep9LKzv0/qVH7W7I1Re24E3obqWPbfnVXjZmk2KtGnkp8RZaSFi3nbTErFDTc9m6eq0Qy8tCdPV1ljJaEOVZaxouJdDl/XhshVhedoxOE5VMzxKc9t0jjmUmoliU2Sz7fPr8W1xvrVErh1TjkH67iBcnfN/qDZr1rDNdaLfKPJPscKO9xGqpRzcss9wYslLtMxh4vNBdo5BAbSfgXKlDd6lI3y9BAZbn+1QuBWzcnafsxcQR9DplagSsLXfpDUt807l7FOKYuzsNFis+W/0axUKM3/NomAEXy12+++IbvLy/yl5QJTGGUnnAt5y/T7dfpkTMfMGnGoZcarbphR41E3K1sDWanLH6a8cPx7i7XBLT3AKWgKQVpq0iXd6+E9u+K7ArM0pjdR7cVpPENPek7Yu2wiYR26Q4wCFhkhPYev2CMckPk29F2+OSOp5j9EXmAuO7cyww+rYY2fm5Aul29SvAOrSfKLPx1DydC2Ua3xGyvv5pms3vAb6ZdrvC9esDarVFqtU6g0HC1lafV17ZYTiM8DxDoVCgVCrQbJbxPI8rVxa5d6/LvXsdfuVXbrG3N6BYLPCxj11ga6vLF75wm83NDmtrdebmyoRhzPnz84RhSBwnrKzUWVws0Wr18P0uy8seTz9dYXnZY3Ex5o039njwoMXy8i6/5/fc4dd//Q5f+UrA/LBF/bZP7xfLtB6U+Zb4Dt/XvUmbdAWBdPe5aEjOSa002Plv6da2ITer98W1PBdiHk3YtiztyexG2c9Z5v4kJXdaPybVcT2HPPfj8OUkST4+Q9PvGj7eMMmXrqmT9mVq14YlHsjXlq3wKjl+22BjAdpRmY3ePJ2gTMPzWW+0aC76D3d1bu+WuX5njRohVUK2oxqfe3CFejOgUQsoJDElL6FZG+IVEq4s7HKvNce9XoNf2b7IXlyhWEr42AfusrU5xxdePs/mzhxrzT4LjT4GODPfp9cvEfuk3ysrBey065gg4Wyxy9O1PZbrQxZLA94YLPJgWGe53Of3XH6VX79zhq/cu8B86FOPfXqmTCsp8y3Ld/j+CzcPJrW4tGq5rkRaE9rfrt1sVvhoIrTtBoy/N9kPe2zbsGuL9Dt33VvHAlxanyQuuTuLFMSTkjbsPTUi9TsrY750NJo6se+BaatK/na5Ee3mvy7hLbZAHMtGK8RQ2+chF24OfK4Ot9KsvDWg9neh+bPAp9jYuESt9nFqtTNAnVptidXVhHo95KmnFuj3Y+r1EufOLTI3V2J/f8gnPnGRdnvIxsY+zzyzzJe+dJuzZ+c4c6bB3t6Aer1EoWDY3OzS6fhUKh5LSxXqdY9nnlmgWjV0Ons8/fQc9+/7bG936HS2uXAhZm+vx8pKl6WlNuvrr3Lr69c5czvmky9XufGFJbbuzDE/6PMxNlmkzVukltcOo3mhd5qbNM5agHVFeetGlAuWYw7OYZflo+e1FK72fWlBNMkNOI0mJpWRln1eXY33TBKH1EO1Fm6tKKkNWrg0hyxZY0y7d22HU8jSyZtb4wRtf/uwsT9PjZBaMYQQVr0+T3v7BHGBtXKfeiXgXKPDnBew363wicpd2gtlNhbmeebsDl/av8DZlS5n6j32TIu6H1J4JmZzd45OVKZSCViqDKlXQp6p71AthnSCCk8/scv93Tm296p0+hUuFDrs9auseH2WagPWqy1u3V7gzLDPJ81tbrSX2IrnWKr0+WRzk4tee6RpIZ7JjolOXHARkks5yMskkkQgEzp0TM1ljentwaxF5LKotQBy9cmW04k+LnemxDR3iKyX598/JE40BiYZqYWOG2trTFpYkxjRw3kXQNluWGtNi3ukewD+S+DyDnzqJ+ncu8DCxV8Dnib9VNMFqtWzQJHhcJuUoivAkMGgmqXd79FswtWrda5erQM+vV5Ap9Nlb6/Nhz88z+JiiQcPynS7A3Z3uywvhzz3XJVGI6Df7+H7LaLoLs8+u0O1usXWVotf/uWI5fp1LgQdzoUdGr8Q0H+5iP/1AvW7Ple4TURInyJtiqzRephkaLP69dyz4yzpzioF2uKQCpo8ljExGHf9+aK86z3Ya776K7d4yxMU0+Jqupzr3nB4enHd97F1IdoYmBwEqeHnbfYO4xaa/Qw6HBRKUluEcetEaizCvO70yiwwHNMgFrwBN9uLrFX6DyfCICnSSNJYU7Psc3Vhi6tVwBh67RKdzTJ73SofrmyyWBryoFijG5fZ7VVZ9gY8d+YOjSTdFcMvFIgGBZ6d26FaDdnq1vjlzSdYLg24UOxwrtKhEQf0B0X8YYFm7PNt9dtUTciAdFeN9bA17geX1oh0vUqhI4kpLwEiVmU0dHxLa3OT/OPyt7a+5HXbV+v6mKQVTkrZl+OiMU3rO4wWOQEnnsShlRgXk5FfaZZ1IlHHxhq1YB8ADLPEDltRLt59G/gSNHo+g6s3qH3w1VSGLSywvb1Okpyj05lnfn6NIKhx/XqFCxcaPPdcgxFXSIfx7NkuQRBQqwU8//yARiPG92F11efDH4557bWAMIyYm2vR7/fp9/fxvA1q1RvU2iG8BGv34OJL51nsDXimvAt3ga9D9V7IdlhhhU0eMM8+FebwucAuEf6BXdddsUMNu6uJyz0v44sS9ti1v3henG2SO1Fbfvo+efN8mgJ4GJqYRGuyj481EtzxGemekvEVVNkyqfCSA6tdYgXSHVtsW3kZVx4PF8s3hj6DsEiN1ALrDEvsdGrEcYFiKyIwBa7fX+NCs81zZ+6M7xwdw1m/S4BHrRHyfPcMjb6P3/VYLQ/48MIWr4XLhFGBuTig3yvSp4iXxNS8kFohhBjWSn0uVjosmgHP1HfTsRpCNQ4ZDitcK2yyEaY01Sj6XC7t0gz9UV+s0NbuWDkO9rdrHYfL2phlAudNzICD+yDKOBSin+C2hORzwXgcTwo8lxsUcd3GASZph4cRZofEY7GVlD3WNCd/uxJuJFxMRlrdD9PrYWQC2L3/qrBuWlz/uTX4l1BdCxnMd3kr3OJD33yD2kLIvV6DninRaCTMzwc0mwGwysgyg/V1j+vXK0BArVak3S6RJEOeeWaHRmOXJ54I2N4us7/VoRH7XK61ePmXV6nuhrDNwz0JF+8N2NuupoR2F/wObFIkwifB5zxbnBfPKTfU1a65vLGxsLRgx9/O+wg383a5DnEcuzDNTS7f16Q6LkgjIa+Oi46kgnmU/j82kN8o0sIlz20j0+Nl+QEHiczlJ7ZMTw6+bANYp8X1zhqEUCXkrd4CdRNytblBe1Ch55doeD7zwyFN3x9fR1GC9SjbQLgItTCg3SuTYHimvENjEPCEabEd1djfq9CIfC4v7PLy/irVajj2Uhe9AXu+SKUEBn6RhufTjH2uVrZGz2IYD8xKTdmOgW3bbvEkrVH52Qw9fvLvtOxAF+Rk1ZahhYtB6sC3di/k1bH9lNa9dmtKuIT1I2QZTsOJW2CQL5CsQiMVhTxhrRVMO/ZSOagNswOdWRSlqcHXipvp/mYbFRrzPudos+r3MUvwzOourKaLKPdfrcDCHZi7NXo5VWhGcO1cmY2356n352jdaXDpwj5zD/r03yjidYt8ev0OzchPXZpvQeMLPoO9IrVhmPoAW7C4NaDVrtAbFEkI2aHILkWeZteZKS1x2I12pDvQxe80Co7zh/EiyLmvlbtJbWj3pyt0k3c8S/u2nm77PQXtOrLIM21lnAvGJ49lznBQukvzXA9aNH6tmfhc8zbZGKYWzhCPq/VNmibgbLkHBpIC7AeV0YQoi/r4XJvbZKMzTz0IaEUVLtX2mYsC+t0iXpDw6cW3UprK9vF8aPWVw4fMd7E4oOVX6EdFqoWQQVSkHxe5XNjNZ8zS6sr7DI29JoWJTqBwtSnbmDZh82IBtl3ZjhU2cNCtaX+7+mfvo/tRFudkXMFaaS6rftIzacH5iEHmx0aAucbTxp515u8sdV1IAjDStBgwpnk2Y5+rpa3UlVIAeqsMNovUWmEaNyvDoFakseyn1lGdkQZm2wh8rkZb6YafF8psPJhn//UKDZNqh81XM+G1B7wO67stru+sQQuqvZDBfhGGCZ/gLe5SZZMKdXwusQv4Y7EtqazaR3qUhAM97yYtUNZl9fGjeA1kO/IZbbv6fR+3wMkTZIcRjO86rAXmcm1o4WOzEHUMQw6sFV4uk1YLLlvPFUAdpELs6vwWlKDR9gkiD8KsbAKDuEij6I/Xg4cxg2bB52p9i6v1LdqDNOtxv1+hUc420c1iZ7b+eqnF9X5m9RVCBnERL0n41OJb7EVV9sMKjYKfLkwe+qlbFHFvK8h1INlluWgCcI2lvK7jUfaa9L9rt62EJADb1zJu4eOy8nQftSCUWXC2DVdd2Yb29+s5I8dMErQUYkfEiW7mK7JxH0ImGFgF0Qr6PJf7JEjGFwNeRlQPJ1OP8YG3qXZ1WPcz4VKGqhcy8Ir0kyKXz+ymsbOVrJN1Ri9ESNtm7HOVrVG7dxllWmwDG9Bs+1x7sMlNf57bVCjhc55davicpcMyI7dgm4OCQdLYkMNDW1SaBqQQk8kXswi1aagySjrRcAkxizwF0oVZBbqmQfn7sRVas0AzIBtMtkxGMi4Z35FZOfoFaKalJ4nUgCwTze6zXmlxvbUGSfoRyEFSpG+KXK7vjjM++TkK6SnxMndfkXGfsXieZtHnWi3zpvgVGqVMWBV8LpQ64/0McU82OZknWbV2rCw/yZuY0vKR5aQFI8dNJodYRpln0bi+VWSFmo0RaKEhn03eK3a0Zd1Yso+e+q0twUnWV97xEXCiC5m19SRdWFZwSa913nrLaRhTjvLMC+sysRqknxLLNS91X+wn2WcTKrs072XU/TYjhtBkFEuwUtkKyzbjGwoOePgl5KgDIT5n2WKJkbDaY5TFa7vkWvArEy1ciRWP4n7OY9xy7Zd2/09i9tMEwaTrR/U05NXTfF3yQpcRQ8619wzs5qE67dRCJznphADXxNJMUQZI4aCAJBMu1Uy4hJlwqe/SLPoHXQtW0ZT9kRaefDHKgmmaLL0fcV5rapZ4LGORX0t11cmLdUiBqK1aW8/WtffM+9CohhVAOjZgkycQ95PC0Ao16VKcZfLaPrkUCIk8YpWZmXnjcYw40SQOre1K5UCum7THElZO6PMWesysEVQegmc5rZy49rjMGHd++NkEK1ksUdmXIzs7l9WzKar6myIxDxdrde+Pb/Nkiw3Fb0tjMoVdz2OrZIF7E+xpscPsMQ8gJh2KvF0yZDntvtSWsstNbiHpUEMrcnlJVtP6p+u6PC362DVe7xnhJR9AW106s1BCm7kwrqlI6F0jZD2XS0loOM3E52p1a3RO0hyMa0LWGtGavSuWNMmMDtRvRHnr2rKT0TUOWsMpqDI2Fiafv8DBftry2mqT7en7WN4kiQwOvhNpLVpLymVBW+i+aVefRKDK5zEN2baFa13bMeHEXIhaYMnf1j3v2vVmGiTt2nnVYzQ3A6AaQ2mYuTLtS94jFUByAkttRGqX0lWotUBZRmtd2TV/J72dXIahd6SQ513uaPt8kaPOtDi+Pq+VCVe9WP110YRUyuU1F8909cdF60cRYq7zko5ncXO6eOFjDfn1ESm8rFdAawmTAn32fB6zkRPO1Y6XU8ZOaC1gpVVVZfwF503wSZq9awW/7pO2FmV5qbVJy88e2zZKqoyc6FJAubRv2waO3y64GJuOyWnNS6e3BxyeQbhch3nltVDX7US4CfMRcKIuRBes5SrXJ80S55LeD1cWsC03lkw0HNUzlsjtjaXGp3P45ZYUZDccpkkiMZmFp7cHyTrXj+Et0VdpaUn6tM8hEyZdcyjPqkCcz/N82Hbz6un7uu6jFeO8vuTxPKvsTcpIPE4hdljk8ejHDnYnDtth602AgwqZLTftvGzP1c40TcA1WVzC5aF7RN1Pr03Sk8zVbykcpJCTgkVaQNrC1PEcec1lrWjhpGNI9l+eq0haW5OEgmzXlTRgn10rEnJcdd9tff18uh86zpPHVGT5gOmErds+Ah5JgBlj/iLwO0mH6QbwbydJsje1nvidZ33N8lwFRusqbX0NrXhJ4SDd0HEMhSFUh2DqjL9EuXBQ7IWUDMddfA/fbZx2zNWvPcaFk55Xdg7aMlJASVehVlwhn6nPojzlwQp8qbTq3/LesyiVmkdOEix5bUwSYloxzfOeTGp/lj68EzgqTT1E3p5rWju2TMg1QJKhuoSX1ATl4OtJASOBEDHan0zeO2KkpenYk7QgNKOfxSUj6+g+5rkKXUJL3kdez2M8ll9Il4QtJ92KsaOMvLeMXU1SFlwKQV55zXBkrGsSUUhhr9+7y2UL4wkkk/r0CHhE+cfPAh9OkuSjwNeBP3mURrQyo+nPKlIyDOUSAK52bTm532akrsnrPSDqicK2YC/714aoA91hKozapHRp+zUcFXv4z5bbyf61RB1XH3uM05e00KQwtoqr/actuWkWh3YLToMWPLaupn3JH/L+yWeQv6cJQNnGLJb5NDyGLsKj0ZRhPG1Xww6a1LbgoIbsYtjyJbm0Bdu+S3jZelYbs8zYMja5XZPUylxCVT+PnfRSo9LuR1ne9TzyXJ6VIvs3qT3dXx2U1uf0fWQZe96loeZp6vK3vIcru0u/U3nOFVPQlobtj3QL6/J6s2L97xjwSBZYkiQ/Iw5/FfjXDlNfWsQ2bd4+m1yL57Ly9dZurvch68B4/EOOoXSpW+WuHGfKUZxt2hGP6sp0dW2o2XOuOb3PwdiXDqVZupQu9Tw3nuY9stw0Bp83RsehIE0KT+TR7iwW2SSX4CRXYh70PHg3La08HJmmLBG5oBl23gPnacnyXEmUhfFJJyestGCsdicnu53o8h66PWlB2TIeBwlMEoJ+1gLj7UjmognLVV/2DfI/S+J6Dpd1K4lDKwuyD/KaHSeZ5q5dS3kC1mU92vN579mbUEae14JPWumyDQnpVjwGIXacMbB/B/i7eReNMZ8BPgOw5Lhun8u6bWEkxPPeM4wLf1ecWr5HrTjodm15axFphTBPMLlca7ofA9KlX9a6smXsfeSG4YFqR669yvP6uBj1LELEPnPe+EqPx2EYvOzjpPeX169Zr7vo+DCYhV6n9eEdxMw0danqKCBfmmWoWnjp4yjnWsT4mhbbpstykS4wS0D6xeh02gIH3Qy2rUlmuba8dDLDrO4F27arvBTsOkNPTnSX21W7RSdZlnoC6mu2LWnR5E162y8bA3MpFq772OM8K08LRhfz0O4frRgdo9tjqgAzxvwz0u3ZNX4kSZKfysr8COmSwJ/IaydJkh8FfhTgkjGJfEbXThtS4Ljm4oDJFoaFtKws5M4v0pMiBYuma5dw1EJrEq3Y5WBwcI1oxGieyXva3y6lVF5zwTUHtaIk+wCTxzOPrl2/LWTW3zRoPpV3n7zrXs7vWTCNro4iGCfhnaCpj8+b5GFnLfKEF+QPUt5gyM8/yEnpCtLrCSuRp/lrLdAKCld5aQ26fNLaQtHWnWuy2XqBqC81ackIrDDRjEky6kmTCfIzAXXf7T2l9eoac9f9ZL90skdev7TVIAW37YuEPD+JSPRcPIxiMQFTBViSJL910nVjzA8BvwP47uQQX8eUc9C6DrWCJxMIYPTslpb0GOj3ooWWvmYtI31eKnMuWCtNKxku2HvsMO4elG1Z5K25ylOKpVWmBZtsf1J2qzw3SZlzIU/JdQnKacIkjy6n1dMhgkm0ae+jz0/j5bP04zB4p2jqwARwvRgXg9T1XeUl088TXrr+YV5oniWnJ+Wkl2TrWWh3Z979p1kg2oLQE0f74GVZPSFdrtJZtCM9llKQ2rHTLmR970kJO/a3rCffv4XcfT6PsGRbcr654pOPqBk+ahbi9wJ/HPhUkiR5uwLlQrrOLOS81Qx92rO6BJpWiqQyIdu3DNSlqMj7ai9HHmwdu+m9TdJwvTuXEILx9x5xcBMFbYG56lpBP2u2Tt5z6XcxyWKaBS5BOosLb1p7ViF3vTty2j9O4fSoeCSayjPJJ8UkbD3EdW3JuDRDHXeSlpPURmRsQEIzNdTvPKEgtUs9+eUkkO247qU14Fkmn8vFNwtTmqQJ6/alhTIp6KsxKStS98OloWsGJIWjZiaBqqf7N4vm52J4R8CjxsD+Kum3RH7WGAPwq0mS/KFZK8u5XmV8XLTFpIXPpOee5DorML5OLI/p2/Lyr6TTPOVD9y8gTd6wGcQur4Rs20LPE0iTR1xelWnuvUnXJimLun2tgB9m7s3CH7TFPQvyvBH63enUel3uMcLRaEp/D8xCuw6nWTBac4aDcS2ddRY5yth7S0tB38clcI4TkmDtsSRyyfRdk85lhbnukXfONX4SdseeSW1aV6qL4ch4lI7D5bWZZ4W5jrXWbBmwKzFB9mkasR+jxvioWYjPPGoHXMIr7727hD3MxngtHekvH7jmsoamgTwBoBUoGI99ybmaJwD13LJuR13GpWzlWaDynnnCfdIY+jlt6d96/PKSTWa1BmfFLC51l3L4OOKRaUq+ZC288spOGhT5sqT7QWozspyOf+XdP28Sz2LVSEzSeFzBXtk3GaDVRJ4HaTkcZiJPmvhaYFlYl1CeApDn+5bWdqTK5gXAJ/VJZl66rDaJSXEcGRSfpDgcAieyE8cki0G/q2lxLhesMJSJTjJBwjUfZPu2jGsrQ92HaYqG3CIqz4p3eX60pad5gj4/zWvgmi9a+E0a27wYlb2mx0HzgkmCViJvr9lpmCTEXIliLjyiO/7kkccILVxuG+2esOUkkUiTW39LTxOrnOg6RiQZrp4YdmLnvQRNEC7Ckf2VAWK5vsXe05a12qHHePsSLrfqNMgJNwnTmLnLxaoTSFxuqUnWnxZo8v1Mssht+TxXat6z6nVQ+l6PYIGf6OdUYGQha7gUsUnKnIXrEz62Pa2cynvZ9mV8WtOMLKPbB/e73xHt6b7q40mWvxZ4cimFPZdn8UhM6m/ee9A0NIuAcYUoXOePE5PcibMIsTxF9j2BhHyBYX/nuQ90LMglvAJHWYlYXc+LecHBNg6rsbgEoYR82ZrwtSboihu4/PR5yNP8dCIEOceT3CRaAMt2LaTbR2Ja3/OsMg3XNSnw87Rp+Yx61xY93x4BJ74bvf1sjaQ5ae1PE2J2fuZp/HqsJKPXzNwlsLSwmsXDYesPOfiR27xnsPfStKf7gOO67N+kPk0SvpOyYF3K8qyYxAfylN0yh/+ytMUsLv5p/XLVe+yFmfzIHoy7kWC68LJMWwsvX/3N0wJteX1eWwdS0OXtD2jLuaw729ZhspK0UJ1lAueNl3x+LfRczy8xq/98ktvCtb1UXn90XRfjmTaxXYJYa6Mul6W8n37mY9RiT9QCk/N30rt1xaFdwgZVBsbfqT2OOcjMtXLpercuxSHPwglIFy5rN6T+rdvWimOeuzVy/NZ7oU66n6vvrrqu3T405ByfdV4eVunWfThsHG0WWp1W3977scc04QUHtXrNbHSyhjb5rZvO/pZuIs1YYbIrYNoLdRH6tDp5BJfnsrNjdNiJZRnJJEvFQgvzWSak67mtQgGjb4Xpd57X1qxEoOMdeYkkum2tGcpj+fuYAuHHHU8/9I1dY+LygFjo/QsPo0W7zsu9FW17eZ8vmaVdO7/ajJI3pm3I7GpbCuhZBZDs/ywusrx7635MqyeVg0mejDw619AKS6z+yXvm1ZfIo9lJ/HXWth8rSCsK8l+gNsMl87PCaJrwQvzOY1iu+0lGBwcn3DTI+NYkd6b+7SovJ9M03/gk5l9S5fLcHPreeixmvafdqkcTumtPQpebSd9D9kn30bbhGqtZCEv2w9W3aYlGU3BiLkSX9yDPcogY3xtRI2/eucZFtqnj0bqcS5G05V3vw5YLxD/dvk7iyOuf/S37ofswCdrbcRi4nksqp9IasXMwrz+uMMs0aLd/HiZ5bFyu9mnjcRih+NjBfmQP3BaGxaQXZevIbEO9b50WDraM1l5c5Sdpk9MY/VEg+26fxzIQlyZkf5cYJzrtpnNNJNeXWe39JgVntTCY9VmlciH7ouNnOK7J+tpC0kQtjyUmLVLXQtneQ4/RMbgzTvSDloi/eeMjlZTDeB0kbBt52nue0jKJ4U1inhHppr1wcHuqPGFpr9tj7fK317USNWkcYnV9FiYuoZO35O9ZLKFZkNefw2Qj5im8s8SLdVx0lns89pgkuORkktqvy+zPi53I++gYmqsPeQFHW18yTlef844PI6An1dGB5zyrIG+yykkkCVQG26cxK5dAmQQ7brKsK5tLC6hp93UxKf1ubDktPLVm7xLKk+IyR8CJZyFayHHWH0SVZVwKky4nYcda7j8oFTGX1ZeXoSiPZX90DGiAe8mMrZOncMmyefQOB9fM6fk1yVMybXPko0ILtlnKyuNZ6XYa9Fi8k1mPjyWmue/AHS+xk1em8c5isua5wfI0vMP6beXEmsSI8+ppTBKUeSm6Vljo9nW2oiVGl8ZXwG2lyXKHIYJprhytDds6s7hvpVUxzVWkn901vjr2pRWjRyDQE/eMyO9YyS8QPwq0sildevZ96jKu+hqTaMLCZzx1/igCapqLP6+O7osWnjAaB1eczLU7kC7jomOtBE6q7+q7/a3bzvs6yDTocZsWBnCVe88hIV94yYe2lpd+UXZSTDNZLXRczEIzTHtOtzcLo3YJr1ngIp48V48LrvtJwtVCQB5Pium4BKHrHvqcq++yjzrO55rkMQcZUp5FJrV9jUnWqbyXPjcpXvYIhHdiNBtx0FLR12H8nU9i/rasZOQBaSq7vY/+TMks7nl7bZLAkfduM9o2alpbkfpn25nVgzCpf3mCU9aXc3UWWAvuqDiMQHtUHMWTBO9xIQbjWq2eXHnCZtoaL428DMa8NjTjdpXLc0EeRjt3MU7NNFwfy5zW3jRMUhDy+jPJZTTLubxsKflOXc9qrWwLl2DJE4ISeUJsEiPKUyIewR10IvQakwoWl3DSv3WyxDQrSCqUUuGYZBHoOe6ir7z7yvNWUFphlvelibz2dPjB1Q/tQtXHhxEStu40a+w4MYtlZvGICUpOF7PmkbPwhvcMZMaMTKWVQWTXhDkMU3eZ27I9DRkXmfTStUb2KG6Swwg9Tfxa+Li0XBeTdvVRu2p1GZmFJ+MjeUxqkqtzmtVoy8hrrqxF275mnPJ9zLLkYdr7m3T+EDhxWs3rgGZceckS+tgKDvm18UlCa9Jc1wJimmDwGSVvuKxwaR1Os7RcgsaezxNq055pkgVr+z+LcDmMUNFjqM+7XJ/HiWlCLO9ZTpwwjgLLlOy6ICu8XJlwVsjlfd8pr/0815yLOcu/0s026WUflqlNmkCztJXX/0ma4yxt5rlL9cSHg2Pl6s9RYoeSyeRp57O8C8sUJmVFyWeWglEzJ22FPaIQe2zpdNpz6bGVMTRpBeUx0Lx7uJj8pDZ0H1yW0yxMPM96OqwnRQvJaX120al07bowTQAc1nKa1Oe8ZROHmfcuXiHbet8IMe1yKDPaiDVQ5XS8y2JWy2ZW16GsL/9KWEtkkjUxCdr9Mg2HZZp5jEILZO0uk/9ckBO+hLu9SRYv6poWLrK+i+BlIkgew5D1p31IU+9MMY15TRqbGXGiMTAXM3EpHtMSoTQ9TprH9vwkF9k0S8V1LuDgvofToOcXuOfRYYXYYYSvq4wUKIHj+lExqwI+i/Jhy87Ks7SiPms+wXtGiOnPXsrPyMsHnMVlqAdVa/N5SRvy+lEmjE4znuSWm4RZXto0i2uWei7txyVw8uJV9reclK6kBil8Ji28dC1O1VaYyyWo+5Knfc/CiOQaOqk4uTT0YyCuE6NP7fZ1wdU5ydis4JKWTx4zOiw9udqZ1MYO7s+lzMJkdZk8IZmn6Lr655rH07ws1qvkKiOV+0nLWqbxl1mu677L74RNUkymlbH0P2tfLN4zQsw+uE3fzBNeFpMeTLusLLPWiwrlfV1xNgmX4HS5zXSfp0HWO6orcZZ1Wi53hdXE84hPp667+uUSYrb9POGRp0RITLL8dD9tec1odLp+nlLhStCwbU3S6B+RuE6MNqcxQNeyEjmGVnDN+oVk24bGLIJlWh25DZX24uTVcylhk1zTconJJOGq251VkMnrkwTArNZlnvKZd85ikhCX/ZimkOQJMy3EJrUv7/OeEWKTTEstvGYhiDy3SKSObZsSsw7aLOb2NEzT7mZxy0jMMkkPgzzftWuiaktskvCw112WsC5jr7m0Zdd7D1Q9zYBcWqONuU5q6xhxohbYJOQpYzIlfto8ehTBNmtZm6pvv/3u2n1+1j7p9zyNHmeFi0Zcyp2rju7HNIVKwvWOD2OhTaIJ269Z3p1+fh0q0HAl170DtHe8sJ9Tca05cVlek4SXK7YlGao8n6epo47zXF4uK3ES9ESeRePRyEvcgPH+6qyfPCsMZnObTiIIlyDIWyM1yYrVmLTDgYUUppNiNnoeTQoeu1yr05SMI+CxVSxd6c4Dxt/zrAJqFhxWCZT375JPg7PQo8sVLfuV185Rnt9lkcjzedcnYZpQepRlH7Mox7PGzPLae8Q48uMBnVRh/+pBcQkNWUcza8vUZmGkeYOfN8G1ZjTrZHYFUye5Lya5QlyYxUx3aUR5EzOPAPKsHm2NTcpO1PXz3DR5LseY8fngUhAiR9lpY+gSYq71ho8o0E5EgOkPWkq4xstmGOrrGkcVatPmhIupy761s/N6J4tJ7ee1m1fnuKwx1731HJ7lPpOYfp5HaVa4lLejpO4fhTbecy5DCe3emTQA0wZUTohpg5HnJ57VRfmoyCMwfU26PidZYXBwIuSlsU9iRq7ys6zl0BuoHjZbb5qQcbXlilm4EJG6nKa1Pyn+doyW2InS6aQ4mLW4pq3nsjgMHUyzZmcdW5/0m1+aVlzMM0+gTbOwJh3Lc8dpjeVh1sy9vDoS0ybeUdyPLrisszzepuu8p4SY3UrKavF5ft5ZXIeTdqB2DU6elSfbPgpmrevSvvKC6dMwi+Vl76n7MEt70zQkuehbv5dpyxbsNZerV95ftu1yMU7TZqWleFgGZPtkYyUnmcRhjPlzxpjnjTFfNcb8jDHmwlHbkmOn6W+SYJDXD4vDCj2NYfYP3J9OOUpfXUJLzrnjUFh1+y5rDMZ50DSvxGHud1TIONhRJ67LY2KhvTUnIcSOTFM2jX4WU1rCZZHoc3IQdArqUTSRvD5MO+e6dhiCyhNyLqJztTvJKplWdpKQdZXX+97JcrOMqUvY5QlTfS4vbibdglIIucZ4UqqyxTEkdjwqff7FJEk+miTJx4B/BPzpw1TWmrF1FWo38FHdQXn3dOEw7jxIrS+9+fCs8Rf53NIazBMUh/G6PIown9UyPAzsnH+UONhh+nEYpV26gScppe+yEDs6TUlmMou5nKctTWpf/85jgpPua689qkam+3uUtiat5XEx/knjGjvKTJroeSv+XYkdstw04ZCnodm6rn7o+rNo4tId6HoPkwS+LTNLNt4EPBJtJknSEodzHFxOORNcXo88V+lxM5PDCEY5nwJGyRuTlN5ZPQ2HFVraes+7dli4vAJHsRpnwVGU91mssKM8vytuJtt4t4TYI9FUHuOYtAbJavR6IudZX4fty7Rzs9Z1lZm1vVm0pVljQHmY1JdJC1rlvVz3dKVcz6op62OXHz0POobp6q90B0pBJutNGkfZryPikb8HZoz588AfAPaBTx+mrqYZTTuTYo2HpSUd4zgsQ5Jt2H7b1PmjfgJGvz/XvHPFjqetP5XjedQMuzwamHX5gwt6o4BJym9e2y6FRtPLoz6/S4i9m1bYkWjKirmjPHAeAeY99KR4z6zMS95v2rl3CgWmb48ky84SP4xV/cMI2WmW8jRrTSKPyckJHeWUsfUPAy3cJLN6B9+pSZLJCp4x5p8B5xyXfiRJkp8S5f4kUE2S5M/ktPMZ4DPZ4YeAV4/U46NjFdh6l+95Ujh91ncWTyZJsnbUyqc09Z7E6bO+szgSTU0VYDM3ZMwl4B8nSfLhY2nwmGGM+VKSJB8/6X68Gzh91vcHTmnq8cHpsz6eeNQsxA+Iw98FvPJo3TnFKb6xcUpTpzjF7HjUGNhfMMZ8iNTj+Rbwhx69S6c4xTc0TmnqFKeYEY8kwJIk+YHj6si7gB896Q68izh91vcoTmnqscXpsz6GOLYY2ClOcYpTnOIU7ybeU7vlnOIUpzjFKU5h8Q0lwIwxf9EY80q2Vc9PGmMWT7pPxwljzPcaY141xrxujPnPTro/7xSMMevGmJ83xrxkjLlujPmjJ92nb1Sc0tT7A+9VmvqGciEaY34b8M+TJAmNMf81QJIkf+KEu3UsMMZ4wNeB7wHeBn4N+DeSJHnpRDv2DsAYcx44nyTJV4wxTeDLwO9+Pz7r445Tmnp/4L1KU99QFliSJD+TJEmYHf4q8MRJ9ueY8RzwepIkN5Mk8YG/Q5qG/b5DkiR3kyT5Sva7DbwMXDzZXn1j4pSm3h94r9LUN5QAU/h3gH9y0p04RlwENsTx27wHJuCjwhjzFPAbgC+ccFdOcUpT7wu8l2jqkfdCfNwwyzY9xpgfAULgJ97Nvp3ieGGMaQD/APhjahPcUxwjTmnqGwfvNZp63wmwJEl+66TrxpgfAn4H8N3J+ysAeBtYF8dPZOfelzDGlEgJ7SeSJPmHJ92f9zNOaeohTmnqMcM3WhLH9wJ/GfhUkiSbJ92f44QxpkgacP5uUiL7NeD3J0ly/UQ79g7AGGOAvw3sJEnyx064O9/QOKWp9wfeqzT1jSbAXgcqwHZ26leTJHnfbNVjjPk+4L8j/ajB30qS5M+fbI/eGRhjvhP4ReAFRh9u+FNJkvzjk+vVNyZOaer9gfcqTX1DCbBTnOIUpzjF+wffyFmIpzjFKU5xivcwTkSAGWM+a4xJsn+xMWbXGPNrxpg/b4xxZTu9W/36oaxPjez4TNbXp46p/c8aY471Q3HGmKeyPv+OQ9b7wSz4rs//gjHm7x9bB6f34xfEXJD//vN3qw+TYIz5bcaYP3bS/TgqFK0lxpieMeaF7GOYjw2MMT9sjJnoDtL0eYz3TowxP3zIOs55YYz5MWPMl46tc9P78WM59PM3360+TIIx5jljzGffqfZPMgtxH/je7PcC8C3Avw98xhjzvUmSfPkE+vQ54NuAXnZ8BvgzwC8Ab55Af95J/CDpl1d/TJ3/w7g/tP5O4ueBP6XObbgKngB+G/CvkcZB3quQtDYH/E7grxtjOkmS/J8n1633NPLmxZ8Dau9yX14B/m117sG73Ic8PEfKQz/7TjR+kgIsTJLkV8XxPzXG/M/AvwD+jjHm2SRJonezQ1kW1fsqk+qwOKGtY3bUXHgkZBlVlSRJBsfV5nscmtZ+zhjz7cDvBk4F2DEiSZIbJ3Db7nHSD4AxpvpeoJ/HKgaWJMke8MeBZ0j3HwPSwTTG/DfGmA1jzNAY87UsOwhR5k1jzF8yxvxHxpi3M7fk35GbixpjSlmZW1k7d0y6AWk5u/7QRZG5DV/Iqv68MM29rN5ndf8zd9hPzvq80/qTlfmYMebnMtfPrjHmJ4wxZ6e0+weMMb9kjNnJ6vy8Mebj4vqPAT8AfEo812fFM/x91d5vMcZ8wRgzMMbcN8b8NenGMcZ8V9bGdxlj/p4xpmOMuWmM+cOzjsWU5/lhY8xr2Ri9boz5j9T1zxpjtowx32mM+TVgAPze7NpvMsZ8Phu/bWPM3zDpXm+27qIx5m9mYz/I3sXfsO0C/wnwpBinHzuOZ3oM0AZK8oQx5mljzP9tjGkZY9rGmP+fMeaZ7FrJGPPr2fwwos7/mI39uex4FlqtGGP+qjFmL5ujf0X3ZVYYY/5kNifs3PxpI8IQk55pQpvfb4z5WWPMg6zer5p0z0d7/bPkzAvjcCFOo2EzCgP8oDHmrxtj9k3Kw/6sMeaReXTW7gvZ+9gwaaimKK5bvvdc9n77wH+aXfuwMeZz2di1M/qW45vLw0waovgfs3J2nH7hUZ9nDEmSvOv/SM3JrZxrVVIX1mfFuX9EahL/+6Sm+98kXfX/MVHmTeBWVvb7gM8AHeCviTJ/GrgL/EHgN5O60X4MqGXXfwhIgAZpavDvz47/MPBJ4JNZuf8KuEmWxZmdu0yafvo7Z33uGfqzBuwBv0KqLf8/SLezeR4oZ2Weyvr4O1S7nyFdv/KvAD8O9IHL2fUrwD8HvmKfC3giu/YLwN8XbV0DfFL36veTfiF4D/hpUea7sj68BvznpMrH38rOPTdlLvwC6eLJovwnrv+7WTv/bfbu/6tsnP8zNa494Abw7wGfBj4EfAcwBP5uNif+LdL1PPL5/hapC+b3AZ/KxvhHs2tPkO4scVeM05WToJlHpTUxtvPZM4bAHxDlKqRz+tVsLH4AeDEbr+WszEey8fxj2fFvyd7F7zskrf4VUiXjP8nm5z8kndfJlGf5oWwuNLLjP0AqiP9w9u5+D/BX7Tua5Zmycgnww+L4h4H/EPjt2Vz+y0AEfMe0eUFKv18SbR2Ght8kneffA/yF7NwPThmTHwO+RD79/Lasnb9N6kb+49k7/F8c43ojeyefJt1K6hlS9/PPke4B+QPAS6Tr4WwGey4Py579L2Vt23G6eqzz+ySJasL1u8D/nP3+7mwAPqXK/Avg74njN7MXIF/efwfcU8T13x6CQD6cHX+XKveB7Pynxbn/Argn7z/tuWfoz1/IJv+8OPcbs3v/G2ry/46cNgrZpH4F+NPi/N8HfsFR/hcYZ/B/h1QweeLcD2b3/Lbs+Luy4/9ClCmRumP/wpS58AtZXf2vmPX9NvC/qTp/jZSwqmJcE+B3qXK/CPy8OvdbsrIfzo5fBP6DCf37S8CbJ0Enx/FPjI3+99+rcn+IVNBcFueeIFVe/qQ49ydJlYWPk9Lc3xXXptIqsEKqTP0JNUdf4fAC7K8C/2BC+VmfaUyA5dDPPyVdBzZxXnBQgB2Ghn9ctfVV4O9MGZMfy3m/z2TXf9VBA3+cVCBbpdWO6x9V5f53UuFfFuc+kNX9/ux4Gg/74Wnv9VH+PVYuRAEjfv9WUsHwy8aYov1HqhV8XNX7+WS0Mzak2sIZk26RAumE+CFjzB83xnxUukIOgyRJXiMlyh+ChzGXPwD87+r+0zCtP88BP5OIPcmSJPkCKeP4zrxGjTHflJnx90knW0BqkXzwEH2TffjJZDwe+Q9IGYPuw8+Ifgakgm+W3cn/OfAJ+S8bxyeAC8DfU+X/Lqkl8RFxLkFsJGuMqZMm5Pxfat78Eul4fGtW9KvAf2qM+cPGmKOMz3sB+4zG9juBPwr8QWPMnxFlngO+kiTJTXsiSZK3gV9m/D3/N8DXSMexSmr9WMxCqx/J6v2UuE8sjw+BrwLfl7nanjPp508kZn2mMRhjnjDG/G1jzG3SeR6QWjJHpZ9Zafhn1PFLzEY/L6PoB9jIxuNbcNNPgZQ+JD6njn8r8JNALN7lG1nf7fv8KsfAU4+Kx06AGWOqpFra/ezUKulGooH691nG9ymDVNOR8EmFYSU7/i+B/4mU6L5G+pL/6BG7+r8CP2DSWNBvAZ4kdUcdBtP6c57ROEjcB5ZdDZo0vvMzpGPzHwO/iXRCf42UcRwWB/qQCbNtRx/21LE/4z13kyT5kvwn7o2+vziW999N0k9eWCyR7p7w1xifN0NS69DOnR8G/m9SV8irJo21/esz9Pm9hFCM7S8nSfI/kHoM/pQxxo7hTHMte/d/j5Sm/m6SJNui7Cy0auMnOkvuKFlzf4s0e/UHSXdOv2+M+S+FIDsK/RSA/y/w7aRz4tOk9PNPOCb6mdCHPXU8K/30NP0kSTIkfR8lx/1d9IOj3CrwJzj4Pi8zep/HyVMPjcdxM99Pk/brV7LjHVI30u9+1IaTNKvmTwN/2hjzAVIXw39njHk1SZKfPmRzfw/4H0iJ59PAF5IkefmY+3OXNJVf4yzpB+dc+DZSre17kiR5xZ40xiwcpm8CB/qQMYgV0nfzTuJu9lePgQ2Ay/snqsxedu6zgGs7nDvwMHHoPwT+Q2PMR0ndKz9hjHk+ecw/5veIeBkok8ZDd0jH+pqj3FnEOBtjniRNi/514A8ZY/5GkiQvZpdnodV72d8zjL8/1zyfiMxy+yvAXzHGrAP/JvDnSWNM/wszPpPCM6Txn39F8gRjzFFT449Cw8eFLVKBMwv9wEEa2iG1wFxryrbg2HnqofFYWWAmzRj8r4HXgX+Wnf45Uq2t49AyjrxgMHMD/r9INfKrOcWsRn9AC0qSpA/8f4A/Qho8/t+O2pcJ/fkC8NvNeNbcJ0h95r+U05QltKGo8+1ZHYlZtbsvAP+qcs/8HlIlI68Px4W3SQXN71XnfxBoMcoSPYAkSbqk/v8PueZNkiR3HHWeJ82+KgDPZqdnHaf3Gj6c/bXr7b4AfKsx5mlbwBhzkdQS+aXs2JBaPTdJFaUvAj8uXPSz0OoLpAkcv0vcp8AjfigySZKNJEn+AinvkPQz8ZkccNHPk6QJQRKHoZ/D0vCxILOWv4ybfmJGRkIefo5UAfiy432+6bifi4f58NCzduw4SQusaIz5ZPa7SRqT+PeBOvC9Iubys6QB1J816SfLr5PGPz5GGsT/k7Pe0KQp7l8m1R77pAsRi6TxLBduZeX+oDFmHwiU0PxfSTWOPmmyw6EwQ3/+MumY/NPs2RukQeEXSONQLvwqafbl3zDG/Dek1thnOfgZiFeA32WM+d1kgsLF1EldBL8O/N8mXaf3BKmS8U+TJJlGAI+EJElik6Ys/3VjzDbpXPgU6Zj8qWT6OpU/TrrmKSZNWmkDl0izKX8kSZKvG2N+iVTLfJFUA/13gS4pc4Z0nM5mKcEvkibhvHlsD/nuQNJamZTW/nPgp5IksRbRj5G6i/6JMeZPk8ZO/wyppv3XszJ/hDRu84kkSYbZmHwN+BHSOTaVVpMk2TbG/CjwZ40xYVbm3yWd24eCMeavk1oJv0oa5/s0aZLBnzjEM2m8QkoP/60x5v9Nypv+LG76mWVeHIWGjxN/Jrv3/0bKoz5Cutj6b2TxwEn4LCkdfM4Y87dIx+0iaZbkjyVJ8gsz8DDrBfqjxph/DrSSJHn1uB7ucciMikndPV8iNf/POcpXSCfR66QS/R7w02SZMFmZN4G/pOr9EONZS/9pdp99Umb2BUTmmi6fnfs3ST+p4OPIpiGd7P/HIZ5bZiFO7E9W5jeQJjn0snH6P4Gz4vpTHEyj/15SouqTput+HwezC1dJGfdOVv+z2fmxctm57876NiCNVfw1NUbfhcjsE+cPtOUYk1nK/Afi3d8E/qNJ46qu/cZsrrRIBdNLpExlIbv+F0mZSTsb358HfpOoXyW1rh9kz/hjJ0Ezx0RrSTaGr5EqIU1V9jJpPLBNqgT9I+AD2bVnsvH7U6rOHyF1U33LIWi1wiiTdJd0rdB/zOGzEH+INCFjh5Q+ngf+n7M+kygzloVIGvP6Iin9vJbd58cYzy50zgtd7qg0nNeWY0xmKfP7sjnuk/KrP894tvbYuKq6z5IqfzvZeLxOKvxtBuM0nmpIE3/ukPL6XzjO+X26G/0jwBhzlVSD/K1JkvzcSffnFKc4xSm+kXAqwI4AY8wKaVr6nyMNkH40OR3IU5ziFKd4V3Ec25RUjTFfNOmWMdeNMX/2ODr2mON3kgZgzwM/dCq8TnGc+AalqVOc4tB4ZAssy0yaS5Kkk2Uj/RLpiu5j3VzyFKf4RsEpTZ3iFLPhkbMQM+ujkx2Wsn+nFskpTnFEnNLUKU4xG45lHZhJd2j/KmlGzs8m6VYppzjFKY6IU5o6xSmm41jWgSXpmq2PZQuRf9IY8+FktDofAJN+AfYzAGX41lV5jXH1Uquak1RPXdc4fhdI8zcn1TssjGjf1ZZRf5OsH7qv8p8s72qrIP5ZTHuGvH4WyB+rh3+No5Crw7rTrsHQ7bg6PulhdIdlO3KQE3EN9duWj0U5WWdGfHnIVpIka4erdTgclqZKiqbeSdhhdL1m+zpcUyIR1+Xwy/qGya8pcLQtX6/HaKro6SDrWVrUtGXEb4+D01xP/YLjHFndsQ7Jf7G6oS1nK+rBstclE7PHIWlyfJQd27+TGOpjiC8nR6OpY89CzBYM9pIk+Ut5ZS4ak/wRRu9RbvFgd56NxbGX/XV93dIT1+U5GDFj+30WjchRViJW1+SxnG92GwLdP9u3gjjW965m9V3l5LG9T510Zah+jkmocvD5yox/gMn+nhP98UqMdpG0lQqi07bxMikR2Y4HolNe1mnEcYHRC5FEaV+y3pJV3s/LKaPry3IFcWx3c7OE7nNQu5HtOWBe58tJkuiNpN8xzEJTF4xJ/r13qT8eoyGUQ1TOjq3PU9JLQLqIMGb89UeM8wH7qgfZP8sLoux4k/FXL2mxBCySTjfZR9vnkihbFX21x3buV7M2FsV1W7fKaErZspKWbH+agKlkP+ayv/WswiD7WxWNNLMHXSSdk7bzluYWGX0n3h63swG5Q7rK0a4y6zHaQyjO2nqs9lw6CDM8Gk0dRxbiWqYl2v3CvofR6uuZoIVPiYPM3GM6z9LtWQIKVFnEdV3WBX1N1rM8UfY1rx8Sniij+WRE/ouR93YJRhfyBJwei9KEsgduEjP+UvI6UVLXXQ8mzUqtGVRzruUNUJ5Gc0zC693AcdDUKU7xjYDjcCGeB/52tldeAfi/kiT5R5MqWPcAjLQvKYTsX7sZmb2mP9kaqeuab9n2PXUsrTuNSYLDdSzvKTU8Vz8gn89roRQz3hcp1ALcHoVJPFe3Z8+5hO7Dd+H6Rm5Z/JaqtuyAfaFyQMD98FZlDVS5gvhbFmV1Xd152Q87aazAksJLqv7aCjx5HJqmTnGKb0QcRxbi86RbpRwKksdIIWbPQcp7JF/TfNLlknMdS14l+ZW23qwVMqtZ6hJilu/acz4j/mv7r/sgXZDapep6Np9xvm6hhadLXmiFwaU42OcYc71p5A2SbNC6P7R/dFp7so5LAOoHtC9YP7AdWGtt6fs+nsLryDR1ilN8o+HEPaPSzabjXtKzNI23TPJkxeqvS3G3/waklt8kl6KrbXk8SYBYXpvXRt5v256tL++jofm8bMdlhcnztq6ZZWZIt2BBnS87zskHkOdkOek2lC5Kac3J83mDYC2vgFFMQUK/iFkmWJ4f+xSnOMWJ4MQFGByMxUjmXHKUm8a7JrnpJgkm6ZK0QeS85JG8enBQiOnn0yjgNg50eW1VTurbJD7rGr9pLsixTk1r3Jqxk+Jeuk1r/ro+upDninR12GWKa63gKMJr1rKnOMUp3jU8FgIM8mNG4OaXUqHPY+RH4TW6js2C0llXeckgMLvVCOOxrGlCSffT3neSEJsmPGV7IOTOJCElhZPLTLQpWpNMUR3ULHEw5iZTx2Rus+ywbltadHkDJF/ipMF2TbJTAXaKUzw2eKy+yKx5ko3XyBiRK2bjEiquGI89P01q51kmti3pkpRhFsR1LcRkHwLc+REW1gp1rV+TZTQvzZMT08poPOybK640yQqzucl5gcq8dlwWjs1NloLOvjzXmgjbpnRT5rkO5V8Y7++kc9NM+FOc4hTvKk5EgMl1e65kCxgXYhpaiLmUYim8tBALcDP2PLefvG9eX6QbsIw7i9DlUdPCWsJl3ORhmrxw3dfluoUs/iVTHl1CS3dWL4TJgyuOZYWSPudK67SS2yVYpfDKEzauSTbLy5btnuIUp3gscCICLG/ptPbYSB41cY1SDg6jLGvrTf52GQj6nO5bnhCTkDwfDmY1uoS4FvgWrixOCW15SsErkes+nJQlI9d6acmYl/ggswx1Z6TrUJYPRNlJGpBd3+XyByPO57kWtXZk2w0cdU5xilOcGE7chZjH21x8QqbVS75VzimvXXBa6ExKXHBZRBKa19n25C4i0pjQ98tbz+tqW/52efVmgZYjug2na1UyersFga6cZ4m5IF+IXAdgb27b1cLLltESO1DX5ULlPORZZRZaOAbiLxxt8E9xilO8IzgxAWY9Uy63mk6nl5jmMnRBrsU6TEKZa5G1vJ+GFFJa2df3H+S0kccfZ1X8p+VN2DIRE2SNK1nCnpeNaYmoBZu+iQ0Q2mxD+6LLqp5LeGlNJFbXpABz+UplQkfeBNIDpK2uU+F1ilM8VjgxASZ5BIwvIJ7m6sqztvKuwfhWfYfhQ3qRtQsyPGPb14q+LpPXprbUtJDRgt5l1bkErjw/Tbg93F1DB8lc8SvZgH6BesA9Vc61iaRLw3BlxUg/sxU0LuFl67vcii4hbduVprR8vtMkjlOc4rHBiaXRa2VXLiB2bZGk177auhIu5V0bEzodfhZ+NK2MvKdU9PMS4Gy5gfiXB51Y4hKMecIq75zM0dAyJX74H+ODLi0qvVZLxrMQf0uk1pW9iVwfJo9R9VzuQp28IX22dpcNV1t6+yh5XQ6uPXatZJfC6zQGdopTPDY4MQGWl6zmCmNo92BecpptV0PfRydFzCrEdMjFBe3Rmta2LdebUFbyWdeOSLKPso604lxeOPl37Le2ZFyD6kp4kDe2gqtAuqN9hdFaL7k2QgcM7TnXliQyqUInWMQcbEu7DPXASW3IJ1+TOMzCvlOc4hTvGk40icPlFZKK87RUdM2kLaTAk4q7LH9UyW2zvfPqa76qE+ry+D6k/NPmNmj5kReGycsql5BuWJuPIdvS+RMHJJ9k9NrFZwWTla6yjBVWZXHsSrKQFo7MNLTI25YkEP/kg9j2XRqHHii9VkxrEXI5wWkM7BSneKxw4lmIFi4mHDnOW6GmlWxXCEbzSde6KlcMKQ9aCE5q295fKvWubbGsV0567WzSiRVONt8hbwG0fv5JwlonzeTukxgwLulc7j2PkaUlTTy7CFl+7Ey260Ke8NIPZAWlS3ghymh3IxwUvq44Xx4maS2nOMUpTgQnLsAmJWe4FHVp3UiF2zJ9KcTsdxZ1OAXG+aH0ek1LhNB9m2VXD7mnog4fSddn3novmawh+yq9cHljJRNKdOzLxdcf/raN6jiVtXzsea0t2HP2q4AyIUQLCCmwJnXG3lMKLy2htYCx17SFdZjgp5Typ8LrFKd47HDiAgzGt7nT/IwJvy0kb9NJCTbOD/k8KM+y0nE4XR7cQkf3X7dVVedtZrmsp5+5os7LsdKCyQo8lyHjgu63Z/2eMQfXf9lC8ivJ2vqyX6CV2oSOR7k6JaW4XOUtJ4VOMJFfjLbnrcBzPah+YbKehL1/3k4kpzjFKU4cj4UAs3DtCuESXjZenycwrIUyC2aNy+tcAOmK0xbQNEtSCisbFspb/iTvIb11uowrYURbe1bu5PHjh0JPSkRZWX9d2fo5bR1rwrq2gbIvTZ6TFo5L6rv64LqmH1y257L+8l66636nltcpTvHY4sQEWF7WYF7Shj3Oa0Mr9zKfwMUbdX25LnaS8NPrwlzCSode5O+YNOPQChJtyem6tj3rtcuLgdm6rjE4jDB/OP7WCpMNS5eiNJsDUd66D6WUlm7GUs45GywsiLZsfe0C1JaYNEXlCvIBBy2xWYSXy9I6tb5OcYrHDie2ma8VGtPS3/PceNqTZKHjPvacLKvvJduatmhZl8tzF+ZZU/b+lodLw0QbOBI+418W0fey7cs29PPIsJbLeh27r07csA0AVKFNmY3uPJ1CmYbvs77Uolnyx4WX7LAH7V6Zjc48nWGZRtFn3WvRLPoHTVoZjLRSWFtTso7MYnS5EPUkynvB1perA5KnwusU7xLafpmNnXk6gzINk9FV1c8vH2Q01cnoMG7RJL/8+w0n4iCxu9FrL9A0gWah4z6QH/bQWXauXAJdfpIAk16vSWUj9U8vcB4w/qw21yBvswgY/7jwJJelyyKVfFneR7opC4gvMWupJhprD8pcD9YIPI8FMyRoeFz312h75TRxw8bNrMnoQTsqc31/jSDxWKgMCYzH9eEabcqjslXGhZecFNry0kLFrgzXSR6uwXQJJC28Jr3YU5ziHUA7KHN9e40g9lgoDQlij+u7a7R9tw+l7Ze5vpeVLwwJEo/rwRrtZFafy3sfJ+bhL5HvEjsM7ANYvmd5mIXkYdKokFnb2h2oFy1bSCPBlYY+DdJNaYWYKzyT16bcDUlnnEeMJ9y5Mhi1MJey4OE1l//Tdjb7tzGcp1YKiQqGG9ESr8XL3EkavNJbOSgcsnjYRneeWjWkVg0xZaiVQmpeyEZ/fnwyyBlpU0ht5/MSM+SA6EG2zzTNipokvLQmcIpTvAPY6MwTJYbb3SYv7J7hdq9JFBs2OvPu8u15al5KR8ZArRBSMyEbkbv8+xEn9jkVrfnrjRekkNDrYzVsfcuIXRuHy/vJe2hXpMyYdiVWuO47i9VooTOyB4ySLbRVJV180jDSlqfdjV/y+rwMRFvfJWc8IAlSK6ztl9kI5ukUM9dEkrkm6tApl/GSmBvhMtVqSKPmMww8nm+d4Vl/O3UlKldgJyqzUBqOHtJANQnZH1bGPyegpa1d6+XjXmsQqDo2DqYtNR3o1IPjEl7aTfANDunB1VtL2ixgXR5Gr0SvmpD1ZbKnfa1DcR8Y6VDyddl5a9uU1/U+zK6YuvZESz4xEMeSbmX7drmk/qKQB1SHWdvZA7SjzN3XK9Oo+qzPZ+7BbA7f36vzoNCgVghpFHz8wOPtvXn8sMBVq6HamwTQGZRZYJjWz5hqNQzZDyqpm0s+5PsUjyzAjDHrwI8DZ0mH8UeTJPnvJ9bJ/sqM6UCdk3Ct53LBFSNztalTziXsPLHXKowz/0mYtlxIEoe2DO15V+zKJvXZe9i2PFXOJaRkf+w5104flghNCdqmzHV/jRohC+GQQVLkulnjUnGfPVPlZmGR+706Zxd7VIrRwxsvlwZshPNcndsacx/igzEJL3VXiaICdS/gXL2DlyQ0PD8dZB3fkg8rH04KNtdDuwZID5yEHiT5Mlw4jMl9RByFphLy14gfJ+SrscJFxoNd5cuMf5XG9aptWduG9gZbxVTu0CP/2iQnq+t4jAswrajKqWLHTQrgWQSYFHjyOeQazfoQjJfGjK/7a9TKIQv9IYOwyPXhGpea++yVqnSGZa7vrDG/4LNYHwJQ8SKGeLTDyrhClg2SiRNe2lsl6heo9wPORR08EhrxN04M7DgssBD4T5Ik+Yoxpgl82Rjzs0mSvDRLZcnIJwkdV+xdTsYC7slp76Hh4nW6X5BqgdqzlddHe05P7rwymoBgND+1EJO7cLgEpbTYbBltwekEFUuINvRkG9rw5qkVU9cEJagVQx4kdf6P5MNcNB3KXsi9XoNBv0S5vINXTBh4RZ5Z2KFTKI8az9AelmklFTqUmZ8b4gcFXtxb42KpzXPLd0bcRgf3ph3rh9ff7rIDIcvph5+EaZPoncOhaUp+5fydgkv2ax1DegBcrvlZ29aY9qpmuS4tt2nI81DoMp46zsOGydx95RAiqJVDHnh1/o+9D3Ox2WGxPoASvOUvUK5FLJaGDPGIjaFZz5KjhJnaDsq0wgqdpMy8GeJT4MVgjYu0ea54Z/yrwdM06/cwHlmAJUlyF7ib/W4bY14GLgK5xGbHVjNU6cXJy2R2TXSXsNMalwvaFSfb0xaQLDcL79PxKX0t79567Za8v+tZdF6CLWsNINsP6+q0gspllZrM1OsUyyx4w7Qzc9Aplvha7wxhpcDKUp/dQoVer8R+p8pOVOUTS3f5wPkdvDChVvRHJmOWmLGxN8/qap+l1QH39hr0OiUaFZ/58pBmzR9ltMgX7DOegdjL/sp9t+w1qc5rc1SWk4Mm1WlX4HFaNs87iKPQFLzzPMpl1YN77mnGbl+dLOdqQyawai9w3lISO6fttLMWkHVrWkFTz8pFjLZns+UqpOvvxbR9eAyjZS+WPq0Xw5aVwqxAuo6/XMhuOp/R1PwwbbQHnUqJr7XOEDYLrKz02S1VeCtaoOilnooPzO+yUu+zttBicW4AC+ODt9GZZ3Wpz5IZcC9o0AtLNBKfeTNM3ZKWdg4T3zhJDI9W7VhjYMaYp4DfAHzBce0zwGcgfRd5gkX6wScJMVd9V/YdjCsg+n1qIYoq58KsrsS8Z7BldGwLRjExLZhk7ECn02umIr13Fnr+OjXSrFLD8xnUi9SWQpiHe4MGAUVW53r0S0VuDRcpNBJavTJ4Ca8MltnbrVIg4XJ9l87uBRqxz/rZFk3P5363To8y/ahEnYDLi7vM+QH7g8rINNSBkp44ztsj0b5sbXFpYeXy1co2pE9LD9QJM4DD0NS7kV+iXWnyO3slcV0KoAIH56oVRpEqZwWQy8NQZZw2bB0rPKyAqYjjgrom27ICzF6rMxJ+dUY7oUEqdzxR3v72GI+B2Wcs20aaaeVGyWewUKQ2F0IV7kUNgqDIan1EU2G5wF2/znxxSDkMGRY87gVzXI536WxeSGPRKy2acz73d+v0BmX6/RL1asDl8i5z/YD93UpqIcidZOxAPc7oHK3asQkwY0wD+AfAH0uSpKWvJ0nyo8CPAlwwJtHLdPJ4yyRMui7jSZbPSRecy/Xh6o/UAl18TweTEfWmxcP0pIcRYU9yTcgYlyZ2qQnq/sgx1szOlEiptADrpsX12hosQHUuZDesUiqHzJeGbATzbBVqNJs+La/C7d48G3cXWOj2WGoO+fLuWVaaPea6EWuDHt958Rb3uk2KxZhm0ccfery+u8zFSoul0mAU1LCZjirjcUwg6USLvEXKLl+PhLbgXBlE+vcJ4DA09YQxybvtQoSjuy11woQ8L2nJvnKXS8+W99Rv6TrXtODyWMg6kq50e5JuSozfW7c55oUowHqjxXWzBgWolkN2O1VKXsh8fcjGcJ4tv0az4dPyM5rqZTS1NOTL22dZWe4xV4hYG/b4zg/c4l7YpEhMs+bj+x6vd5e5WGixVB2MAqKSaT3uAuyIOBYBZowpkRLaTyRJ8g+nlmekfekAqnUH5AVILfIsJ5cwgvEP9mrisALOE79lTMkGrPUkl32x7WtBnGfJSVepbCtitClFlXGLC1HH9knG57R2K/tn60oeLzXnh76QCjTLPtcWNtmYm2e/UqFZH3Km3mWHGrda89TmA3qVEnd3Gywv99kbVHhjZ5Fu0qdciun1y3zk4gPuDhr8+Fc/wlML+zy402B+OORCrY0JEm4NF3j6iT1e2l9Ns7ICn3VaNEN/fAcN6ZcqiPOzctM8Uz3vmqvcCeCwNPVewyzeWRvWtK9dzl+XQV4gpQm7PabWfWS7LgGIKqsV1jyvitOlaqXgHFCF5pLPteYmG/E8++0KzbkhZ5a67Jgat9rz1OYCeoUSd1sNlhf77LUqvLG/SLfYp1yO6XXLfOT8A+52G/z4Fz/CUyv7PNjLaCpuY5KMpop7vNRZpRNmmwXELZqF929Sx3FkIRrgfwVeTpLkL89aT04gGZvXKfOauUvI7EUX7OS0RCAtL5fmJAWcS3hOisFFHKw3zfuk3YgWVhBKTVL205WUIYUtjISg3a7QFYSWz/WwwTLQhOaaz9VzWxBAe6nM9d018GBnr0K/3aTbL+HVI4bFIoHx2G7PsdurU6uGzC/6lO9HPLmyx0u3z3K22uXZtS1u3ljk8/ee5Gytw2JpwMs7q6wW+iwUsqyszhrXqps0Pf/gwEmTWD+I3FRYQpu5si39YvX9ThBHoSm5NOXdglT0NGSCVF7ihDZ+Dzv8mi5mTRB1Kbhymrhyd6RLVD+zDN8+nFpSEwYoQLPppxm629AulLk+WGOuHvArOxd4s7PATlDHLxboROWUpjpz7A7q1Ooh8/M+5VLEk0t7vHTzLGcXuzz75BY3X17k83ef5KzpsBgNeDlZZTXOaCoucj1c41qy+b4VYsdhgX0H8G8BLxhjvpqd+1NJkvzjvApGHVu+KePxMG4RTWK+WtjIc65vKOYllxVUWXlflyanofuZ55aU7eSFduw566vPg8fB59Hub7nnrh0PadV50o/S5KHf3jbWXPa5tLLPT9+6QrEWs98rsRfUSIyhs1OkRIIfFwh9gx97rJ7rcXezSWe3RLUYMaCEKUFoPOoFn+1uja2oxoNWnSvlfVZMn3Neh1oYstGa52p96+Au8FLLcL0kac7P4nuWZVy+3HdbGozj0DRlaeidhPYYSOUQxmNgZVXHzj9f1dd6hH7Vts1YXddTQ7v+rIdHty1jWDDu8ZFt6diap87JOLSOOXt2MKriX2aJ2UySZsXnWnGTL/fO0fLKbA5qdJIyJIa3bi9QLwb4UYEwNPiRx+paj7s7TTr7GU0FgqY8n+1+ja1BjQdBnSvss+L1OVfpUAvShc1XK1u8H3EcWYi/xEGZNBEy5delUNvzMD6ZJaRWlxf6sOdKHFwHa78fpiFj+i73nuZrWhNznc9zhWqtT1pUMsgtrTRtsWkBqN2NJcaFmkUZsTO9JbImo4h2E9pJmVcGK9zYWeKl7RXeas3TimpEnkevU2K/XyaOC6wsDpibC9jZrxEnMYbMz9+q8cz5HUwl4aXNFW7srxANE4bDInVC4mGBnfKABW/I68NlrhR3GMbl0YvSnMG6FvWLcL00bRKjBsb1Eh4P4XUkmnq3LDB7j1j9lufkPHZZO7KO65rruoZOlNJJrLJd7bnQCp+mVZ3ommc9utyPD4Wrp05kjKgdl3lle4UbgyV2owpfvH+ezWGdxCvQ6ZRpD8oEYYFiNWGuHrDTzmgqyWhqP6OpUsJLd1a4sb1CNEgYDorUo5A4LrBjBiwkQ173l7mSZDT1PsWJOU2stqRjNVrDkpaPnbBW2bbXJr0eO2l1GVeWtO2TFCIDRznbrvYSTLruKmeJzj6bJhSZ36AZhhZaWrPUYR4Ph6ZYyJI3rACLeDhQ7VKZL+5d4NcfnGOj3eSXbj3B8/fO04uLnF/tUC7FkBiacwOGvqE3LOGHHp1ekZsbC3QGRYZxkX5S4sJqm1998wnuD2v4FCkVQ0jAiyPu9ZpUwohqEvLWYIFGwR9fIGeTObqMVrdq35MdcA2X8LK/NfeZVXidsHDLg1UK38l/iN96rhXUOdcQy8QHOV9d1o+cqyVVV2c1Skw61oJq0jK/aYzRpSwfgOpkOyrzxbsX+PXtc2z0mvzzm0/za29dxI+KnF/pUPZiktiw2OwzHBbo9Uv4vqCpXpFhUKTvl7hydpfn3z7Ddq9CNygzjAsEUQGPiHtBk0ohompC3goXaCR+PkN6XP4dEY/F98DkNnQSWol2aVkyuWLaPfL4nqxriUfuDCJ3JtLuEolJsS573aURIs5JC9EGpS10CrFUArSLQzITzSzGUOGg+60Or7RX+NLWeTba8wSeIfYMhUrMg+4cya6hWgsotCvstueo1gNavRJBZBgOPfrBHL7v8clvvs3aapdfevFJGs0BzfmAqO0x6Hgslrtst+qsen2SBOIYdsMq67QO7klkB0ael9wzL7Dp0nBcxDJJeE0yG76B8W4tk3NZVe/UffIEqha48q8ri9Fo6Z5deGV3hS/dP8/GfkpTw8SjWo64v9eAUkZT3QqbOw28QsQw9AgTCAZFBv4c/X6Rj165z+r5Hs/fOUtcNKwu9/EGCcO2RzIw3Os2OG+6JAWIE9ilynqpNaPEfe/hsRBgFi4BIIVYXjBY+uF1XRi9O7uYXd7L+telJVgW5+Ggpib5pfRcyXnrcmVIuISJ7q8UZva8XXOirS5rZWp+7iJKV3/kzdvVMs/vnGHTr7PU7HM3aBIUPLpRiTAxDHcbDP0ie50q9UZAnCQM/SJhWKDgQbEYsd+u8srNFZ6+tMd2t8LA9/BKsL7YZj+q0O6UKBdjVgpdXu6t4PseTxb30j0oXH5llyCRmk1esoYdhDzhIwdkGqd8TJI8XHg3XIguD4J+Ldp1KBU2+doiDtbPUzDlq5mkf7iuT1MYYTx/SVp/Os7lqb+2jnXFGyntpGejlG4l9fx2RlOLfe72m+wHVaKCoT0oEe00iEjY61QoFKBQMAz9IpgCUZzSVK9f4c5Og4+Utnjh5ip936NiPNYbbXpRiU5UoudVWCl2eTlYwcfjycLeuEvrfYYTF2Baw5LuNDn55F97XSrk0srRRCCPZXBXCkWZem7DQNYwsYJKZjJaX7mn2tMZf5pA5W+93ksGwW27crEl2TPLryrLdrXHTGuMBywxa8JlD9wuldkI53n+7hk6SZlOUKJLiVZSZuiVGEYeflRgr1fFK8QEkcEzMfutGkFQwPdLeF6EMR6VSsCbtxf59VfP8Rs+dJ/O/QrhwBD3oVYM2BrOc8Xscr7QYy4OiEuG5cKAf7T/Ac55bc6WeqzXs++F2RekJTziZciH1/6mScgbPFeZxxjvVgxM6w72t5yvnjinhZY+L9uSgs6lTxzWu3sUg9llgenr2l0KQnip7JJ2WGajPc/znTN0SmU6YYmuKdGKynQp0fVLlCsxe4Myg16J7qDE6kqPbq9MEBp8v4jnxYSRh1cJePP2Mrfu71BvBJyr94hahjiCUiVi2KowV/Q5X8loCsMyA/7R4AOcK7Y5W+ixXnx/pdWfqADT7jsJK0Tytr+z2k/eDtj2d6TOSwEmLTs4eB8rUPK0SbtPoj12TXYXsbqeOY9YdWq/DQtJOpEbskstUQsvqRjWCuKANLh8fbBGrRriJQnFOOa1zWUir0ChFnN3c472sEKlHBIl4A+L+L7Hzn6NXq9IFHkUCvz/2/u3GMuy9L4T+619P9e4ZWRmZVVmVWUVu5uZTQ4pdLfIkSCKI40tiDTGlm3AMw+esR6IeTDgebI9FuAxYAwwhgDDhscPJmxhbIDw+MEWaIjSWNKYoqTxUGSzyW52dld3XbqqovIaERkR57rvyw/nrDzfWbF2ROQ1orLOH8iMs/dee+21917f+r7v/31rbbT2yHNFUfjEccnDgw5HeULSK7m+NWZyNyDKKtZ7KW/VA8JC0/ELel7GvWmPoK6ZqIhCZ9zJtrnNLr08b54vIV+wuVnpPsuR0Of4aEnD9gpngouCR+yTMiEfv80U2EasbRQ+LZoyc+W+prKyy7jk2uw/zT4aVnOZapf4gSaIaz7c2aTyPLyo5sF+m3EeEEcVWeFTlR5oODhsk6YeVeWjFGityfOIoggIgpKdvTWubIxYS3LevTpgshfQVQWdPCfyK8KqnsmUn3Evn014npQRRZhxJ9/mdvD6pNWfmwI7i0frMQvR2EkMUvGYpIuT5oPZSsglEK54lllF25xnQ3pwnqOM7Py2BynrcM3Tkr9lG3wWXpjZZzwySXfIekJRxqQZPznAbGHQ3x++zbCKieOSj4t1/nx6mbX2lLvjHvk4oqwVcZJRFgF1DWkWUpZzmmOeMFfXUNeLu/N9GI9bPDpocSme8riM2R+0uK6H/JVrn6MfK64VI1QOHx1skBQlcV0xUhEtSihhp+hzS+0dHyltU95+gOaFyGCmDGC6HrTEcwaXXzVciUovGjKkWIvf5voy5tq0ykzEskEm5cP03cgqb64r6Tus8+RxU8Z2qk27alGvTf27nHe5bbMa5t5tymNIxO+P3mZITKxKPs7W+fPdy6x1p9wd9sgnEUpBGFSUtaKqPNIsoK490kxhZEprKMvF6OH7NV/cXWNrY8q0CniUtxinIa3wiLfXBlyJRryfHqIq+CjbIPFL4nIuU94seWqn7nMreD3S6s9NgZlO0USxSUhqzebNTadycfG+o7yxxkxCm+zIsg1mn4tNcjFYBvanqOzjrpDLWWN/coDKxXnS8zJljNKSA4xJ+IiMZTBP671TbjMkJokLPp5uclf3KSKPWnmkZUjY0XgehAFMpx5pOvO4TsN06vPgQYe1tXW4Arnvs9bO+atXP2NtmPOjvUvEVcWlasqkCumSk9c+bQrwIKlKjqp4ed6FHEGacp2lm+waKW0PTZ5ne2lfEiVmU+ov+zrGNpD91EA+6kqUlbIgv/MlZa5i+TMqcj1ns++0ZCkj43bsTCZk2QquEmXkbwOZLGbON+NHDfjCZRsGEXem2wzjmKQu+Hi0yd2wT8FcpoqQsKUJwpra88kKj+k0FIqqGdNpyIMHHp3OJutfmzKqInxfc3PzkDfLEZ/9bI39SYtLxZRJHtLNZktNtb0Cqvk3+HQ8izW/Bjg3BdakIJrWnjwpSQOWKTR53Cg3lxKrWKxYYVN1vnW+fT15TdcxW4hhOdbms1i4V7ZHUpLyOvJ+THuN8Ji5vaZsm+VkD7CUl5gdupP2aXklG62UT8p1unFOOyjo+AVfHG4yrUNCldFuFTzY6zDNQrQ+6xQlxWjk85OfbDE4iPjW1x/yi+/vMMpjrm5MuHH5iM8+X6NTF7SqgmEdoVG8HzyGAlIdzL5tZCsv84BkUMXuIC6X3GWN2JaP6RBNSSEXFK/ycyqStkbso2HbthkMbBvEt8qb3zbra9dtXr3tMdn12E66fb6s/7Rn2ahIvZmH0wpKNvyUT6p1uq2cdlTQUQVfDDaZFiFhK6PXzfjs7hqjSUxdn33aX5oqfvazNYqJ4lvXH/LXb35CJy9nGb0hfDZdo1MVtMqCYRGhK8X73mOo5jKl8i+NYXYazj2JA453GHtMaVJm0sJzCZOddCGFxXRmuYahFBR5TTlW2usd2t9VhOUP/ZnzJexYGiyUmllJ274nk0IvLUizFiIsrxlnLFXzOQi52sCSVvPmX0puZVxtj/iz8gprcUo7yRkO+kzqEO3BMI0YZiFpHjyF8ppBa8VoFHG37tJvT7ne2+RB1oMuXOmPuNobEh5VtL2CwTTmRnhERxdMCZgWATeDg+OVyhdrvyzz8J42cCI7Ciy/2JMCnRcEryKJo8ljsp1cV+zZji3Jck37pNxKz6/pPuUcd7uszSbL+iXsdrqOI+71SYKV0JAjHbGm5jJVXWEtSGnHOcNxn0kRojUMJxFpGZDm4VMpL3P1yURx92GXfjiXqbwHAVwJRlwNhoR1RVsVDIi54R3RoWCqA6YE3PQcMvUlxbkoMGMturwWm85zZRVKuCwl22KTsX0XY+RaKFQeT1lWeHY5mz4xcSqpiFzGP6KcEQj7A5pGAdmZhy6lLrl/OZgsUaWWpu+2Zp9OoQ2tPOcTvca4iDgs26x3U0aDkGEaMzyK8bx6Lmy2wJ3MtWkNk0nIDz64ymQY8a03HxKWJV9Me/xy+IBbnT1uDfcYFhE7SZ+jIKZb5dyMD2bBZjvwcBL/aiuvk9wG+7zT9l9Q5WXwLMkOTwuXTJo+Lr2d09rVlGlojpnjxmAzRqF8hbZMm5i1KWMzE/bKNzajIeUEcZ5tH5l/Jp6s5JwWoBvkpK0AEmjVOZ9ka4z9iMOszfpayigPGU5jBqMQrTUz8+NplZhiPAn5wSdXmUwivnXtIWFS8kXZ45dbc5lK9xjqiJ2iz5GK6aqcm/4BPfV6JHDAOXtgdtzJ7LMfr2uMsrOYzF8XzefygJqYJwMjREYAUhYd1qYj5V97xXspjLZwmPLyOCwrH3lvhgb0xLa5ts2omXNM7MtO7iAC2nC9M+CP9DXuVj2uXhmTVwF3C5931w740y8uU9Q+Wmm0gqrycCuvJhW9uFutPfLC49HjLsPtx3z3s6tEk5qoVfINb59emNNrzRc7TXAHSeTNNqV92t/psX8/rZsiraBnOf8V4mXr12dVkJKGl0bjy4CJiZtryRwfWI6nGzkyyi2y/sppNXKfL387Jo1djwb8kX+Nu3WPq70xeR5w1/N5940D/vTuZYpqJlN17VGWLpkCd0rO8ZExLz3uHvS4eemI7w6vEqU1kVfyjdY+PXJ6Rc4t//VI2HDhXBSYtrab+HNbsRkYqsyViusaRl3UhqzXrLzRJKDSEgzFPlmnzCR0CacsIxFaZQzkteysRReXb+hEqQxjFsorQliK8GSSZa+d0w8yjoKYOvZ4r33AdBDwedZj59E6OtBkeUhVKbR2aYwml8ZlTmimhc8nDzd5u3fI9c4+D6cd7qhtbvu79KL8eEDirKNmk2VxGlwdQv6FC+95fZlw2muRcWBwO9Ny2+XtuWJtsGyLyPHCjqF51n7p/NsK7NisZ3+2UG8/yjhK5jK1dsC0nsvUw3W0p8nKkLJ2yRQ055O6Jg5p8tznp/e2eK/7mNvhLg+LDneKbW57u/RCx5cdXiOcaxJHE5pseTNc2h3XpcRsw9koBKP8TuO4ZTuk1Wh/SVZaltJjsrO3ZQKHK23e9iaNx2TkImdBcUgdVImyBnJpriftk4V6LFIUIxj5EXG3Yqo9UBCFFZNBSBBWjNKINHf5qmcJddsCp9AV3D1qk049xnHI17x9PonW+bRa4xejR7OJluaT6ObGm1xw2RRJKcoXIc9xwXULJ7nmFxivgkK0r/Oyw4K2keoyQg3sMIDcNufZczsNbOXWVL8p6zOfvCzdOBkHUxFxUDH1PQggomIyDgmiitEkIi38pzQIZZnl1lda8XgSUaTb5JHP19jnk3KdT7M1frF+xHX1ek1eljgXBSapOTiNfDoOqcjsem0FJ1e7sEMg0tqT9cm/LgbJtQKIVGjmnMw6V17zSfqtVbe08qQnWrD4UJ+5lzGL+WBWaOsJ5Wmg6zlR0Zn/myuxYRDxYNylmKfM/3R/gzSYWXSRV5FEFWXtMZnIrvI0M46W31Re+XiZJvMCHlZtOknOR3qDd/QRhe/PJlrG4ptg5nsykqOVo6bLBG+yQiRcHcx+2a5jFxTnsRJHZe0zkDSei6mQ5zfR+/K4TZHLscN+3WaiPyw+6F2IY7KNBna8zBi40gi1DVOPuUyZQUVUOCwiHpRditAjJeSnhxukXZ+f3t8iCiqSuKLU6hllyh75FHnpk+UBQaB5WLfp+Dkf1Ru84x1RBP7sm2Dq9Zm8LHEhshBPg93JXWOSbZTb5Y3XZDqgTQXalpdtycnJxFJR2R/glErI/LYVoZ1JKI03OTDYS02Zc1z7zf1LR6sSZWvmXphpxDzPfiftcymY8K+O3qTXzolURY7i0ahFHFdMMp8se54pssvDaln51F5NUfnUgc9mK2Nahkx0SKtVQj5r061Q8PbmxuxlWeRDd8XLTjOlJU7zuqT5/RXHi4xhGQ/rNJvBZa+4XoWUY9PvT/MQTyLBT90nLc353526z6XWhH+VvUkvyomYy9SgRZy8CJmyociqgMSvqX2fzTBjWodMvJBWNJvwteP3uRW9frGwc58HZv+G4zaGzJp2BYRNGVhOJ5fXQpS1FaIpm7Cw2uR+2yMzx42lZ+q0PS0j6OavZBtcGVvyuLlPGQeTdDuibMzMqTKWoplfZsq2AdVmeen6+cFRGpHj8/76Y4Z1TJYGDLOEq2tjhlVCraFaGvCfVvCO04goaEUFdaUotWLqB7Q7BQTziZZV7P7CqXxQBjZ1aHBW5XWS13WW8y8IjE3yMmFehW2cwbL+txkE0z570QAX5S8pckO5y3rltqxHJjaZcrJtZp/pvfLrQXKJNfufbLspY8qrNjPhsrKrRkTkic/7/ccM45hsFDAsEq6uS5l62qzDk6BQShMFOTWK0lNMCWi3C0gg8UuOVPzkY5qvEy6MB3YWJeY6x0DGlVzBXVedMm5le1zmmmZMrBvKSIpEpsJLS1DSDnJOlhHQJsqwI/ZJxSWvZQYuKcQGBTOm8EnyRo/FLOe5VHfbOR9ONtnqTNlIMqatgOnIZ71K+eKLHpOJJC5fBPQsxlZErPspkyLiX7v0iEvRFIA0D+gG+cI9lZ6V5IClcnNF4W00BT7OorhWXhfg9n5cCslV9qRpewYypCQzBbHOdSkuue0yFO3EDPt8ud/12+gnI6tKpgNbWYhdnfOh3mQrnrKxljGNA6Zjn/V+yhc7L0KmbKNQ044LplXIWlAy0RH/WucRl+IpBPPJy37+8i2cc8CFXcwXjiscG9Lgtj0cc1xaa6l1DBYdXs4xkZ6VrfAMiyXnqchjps02V2+ERAaTZVlbQCQtaJSea905Kew2tbr0bH0WnzYXwnd9a8D3iysMieh1cgaTiFEVMs4jypeSFaAotUetSrqtjE6Y0w9yrqyNmE4CpkHAzfBg+QaaVnS2XWV5jgtP620ZXFCvS0Lz8lLTDaSxZuZN2XaBkQ3TJwtHeRcbDAvZlUlScppJIbZljM22cWQsy476NI3hpk1GBl33ZVgRZxcT9Mz1cMD36ysM04heby5Tech4GlG+lL6kyGufxC9mMuXl9OOcK60R0zpg6gXc7B68lobYuU5kNjiLtyThGlftoLHcZyCNJvOlZUkfyvPtWfvmmPztCmjbToGsS1IYsEjkkHPMZFth5s1JpWzq8MRf2U6jDGUmIsw3xuLg3KTttXN+7fZn/MHjt9mnxV7W4qNHG9w96lGUL757BEFFENW0oookrPg33vyU2+t7VLlHK8i5uXZAr8yPWwawPHq4ov825MOR+04T5KfpeBcENbPX+7KvYfpXyrJsSMPPKCHTt6Uik7FjV75Ne36OSVKSiRhj4DELKs/A1CGXVkvm5WWORYdFYpWdJWzOMQrPXEN6aDKZIyrmv6VgzivreTm/1v+MP6jfZn/aYpBF3H3c5cHjLkW+NBvzObDwwoKgxPM1nWSWIPJvXP2U29UeVeXR0jk32weLpKjXDBdCgZ1mENvZTna4A44rvKbgrVwQVPL4Zp/h0e1MSSmotkKTysO3zrHbLhWYEW7J17vuyWVZy1iBhExmMc7Wk0Y6XTO49taI33z/Q/5k9yq/99P3OEpjskrNF+x9kVw9KFVTV5Bpn91xi1x7dLyC670BvW4Ou/OC0hS2eWHzsIxMyo4hYSsuOJsVapdxxeEuGDQvv4l2X35eZ+Kk86UnV7EsS/a5dmxcni/Luqh/A1e3sLuTtH088589u3le2bX2iN/c/pAPvC3+6PEb3D3qMs59au1ayeZZsFBICqgrj6L02B22yNseHVXMvqdnVt34ErAIz4IXosCUUn8P+E3gkdb6m89az2mUoYsmk0LlUmK2Emlio0yd80Xa8YAJy46A6zxJKXosW6FG+chEDDOtSXL9srwsa66Xshw4l4Fss8xUKH4vBcVlYNBjmasUUfneZs6Dzzu8tT3gzsNLjPcTivJpubbTURQhga9RUc72+oh/cPdr9KuMQSeeTWYuHJaidK/lCzzNszrJHXdZQU2wA5SvAM8iU6+iaYIpA44bitJOsttjy6YLMulJrkpvqEHDnMBxY7IW5yDOM79dGbw25PgilZVhSMxvZfc3R2ZJL5ktmttqFYShZnIYU9QumXq+jMSiDAiCnLJSbHRS/sHDr9HvZwy8mNvt3ZkSew3pQ3hxHth/BvynwP/tWSuwB3JoTtyw6ccmwbU9JAlXkFnW3Zn/NXSGDLfUjvLmmLmXkoiaPjkRJTkhA3zypVibi66UeQr24CA9LilcUi+ZY6FdUFJx5qJCkw6HEd/95A08IMsC8tyjqO3u8ayCthx0zjKfaRiRFREHmcfvfPxN/va7f47v13y7ur94EEaLm1HRdovNA5D3CSe/bJdSO6sie7VW7H/GU8jUq1rMV/ZZyTqYvmrHpWVWsFQmOccfu2y/KW/K5cCUiBF9fCJycqK5TJnzQmYUoZwHJul72QbpnUlj0dU9jOKS9P2T9N4ei5RF088SYA2G3Yg/+uwNxoTkBOSFR6VtTfKsmuW4TLUCn0EZ49U1v3P0Tf722p/jU/Pt3v2VAjsJWut/rpR651nPr62/tlJyKamThFUGfWUnbKLpZMKE2Ye1Lesy17fHxcU1Ikq2KSnRZJQEaLbx2CUUnU7WJ+lEI2iGyjQpv9LLNBalz0zZSoMwFOc82VHNLzJh+UNh85v74N4W00nI/qTFNAsIfE3xkjipWntoanYO+1zxxkyqmDT3+cH08mwNt3r+jFxp8XKkOY0W9HFbQeZ8+RJtN8Iu+4rxtDL1KpI4pBEnFYvxVmSSkvSabAXmMVM0LjvDXCMV/2pmyuuQbXJKAjIUASnbBOzizWXKyEwo6nCFT+U0FCknxruL5r/tbGKDJ96X/CcDc3Mq5IPRFo/SDoM6oaw9glBTpK61RJ8Fy0xFrT20V/Fg0CUMaiZ1TFr7/CC9zDcu7dOLVzGwFw7X2OIK07i4bJdRLXlvGTaRDJp9fTuDz05oMwtBwHIqux0WMfbQjCbsE1PiUc67WYkCNH0q9pasWLlSknQwTADchIHMYGG+xmyoSRlolun45hq6mKf8Go0nA35mYs4Y7nyxTSsq2dlZI4lLwqRiWryogLMNxTiNCZOMozrmajDicdrmDT1kZzyfcCl5IvmC7Oj9ScrrLLA5MdfxLwFeVRbinHFeovZMv5WxXEnpGQPQnCOTOCRsgkBmHY7oU1BSzmWpmH+RsaBPxGyCrk0h2l6f6UpGFGSSiUxCMYpTDvkd8fuJsMl/MgtrLoh39rbxlSYtfFCaKKqYprZMmQXinheK8SShExYzmQpHPK7avNEbzr7AnLx+k5jhFSowpdRvAb8FsEFzCKIp+cKGK0iLda5NE5r67TGptspIClN6aHYegRFm29uriVBkBPN9JaAo8YiPKWZDGRphkeEpqXNM5pcZDDos9I+dxWjqiudlIxkzMqalHC1q2Bu18Kuat7cPGLGNGj7rZx5cOK4F8sLnqI4oPJ9vb9/lsI75ldYXjAaRW55lgNDQNWfhh5sSPOy67Y53WkD2AkDKVPcVXdN+jNLJdcmbK0zUlLRkysgYsTlfExGSETIbtAJAU6KFTMmMQfNbxrBdDIu8jj2pWX7FQdZ9bPKmLCBuZC9t0W/ntPOSrUtTRmnT/K9nUWLHO2heBqhKQ9Di2/27HBYxv9L+glH1Ilf9uFh4ZQpMa/3bwG8D3FDqCRMsYz4GLiXmGq9OU3Yn0Ya2B4UoayuymBnz9iQxgoUX5EoiichRBFRzKzEAagJ88qWEJZuFsD1B42wkoryBsSRlkohpu7FETZkqY/bZB49FnvIhDFXEB8UWH+9t8PHDDfbSNq2NnMCrCf0K36/nmYgGz2otut9EXc0mYA6rFr6qSauADVJ3lN64oTYnLE1ss98FV0aifewkyvQCxhCkTF1RSr+KeaouI85WNjKB1Bhd8lXZOUTydRjZMp7bwkDMGROQUD7RH5oARU5L1NNjEZaasJANo5Ta83p7LOj3cP7XzPE3dRh1Y5iYBLEogFyaQ2RSDfOIDw63+Hi4wcdHG/itmik+iV+h0XheRV3bqv5ZOpdLpjS11rT9gmE9l6kwYKOdvpaTmOECfA+syYCWHdtOxjDHpBfnGpNccTMZsHV5gfY5RjjNMlO+tW3aa3h9H4gZkLFNzcxKVHObMebgiVVnU6Ay+wqWkzLkxGojSJ2GtsJM+M0qHk+STaQiqGYLjv6zvRvc8bfxE01H5Xw67XM/a3M4TvA88DxtLSP1oqCJwwJd+WwmY272D6iBH00u8RveR7Mi0oQ3HQAWI6h84SbIYu7vJJwU68JxTHZC2a4LiBefM9p8HUlV28aXZKft41IB2o/SnBezLJsVsD6XqZn+KAkIqAloc7BUr1wSyrZZpPFoG5KusJbFCC57X9KinDd2mEf8s0c3uDPcxu9pOkHOF4Me94ou+1ULrT18X1Mv9buTePCngSYOCnTpsxmNuRkcUJfwo4eX+I13Pnr5/PI54UWl0f/fgb8KXFJKfQH8R1rr/0tTefk9MDnhVo5RtqVn4Or0Ltjjjhy/7Xrssoiy8ovJxqo07e6wPNs/fnI8J2SXgj41MR45CQdPgs1SeOQyUJKfNwpNPgOjuJo8S0Np2tawj1iNfo4PJlvcKbdpbZT4ocbXmlERMqoi2lFBVvp0OyXjiSLPn1fAjgeQi8qjE2Sstwq2kzEtKm5HexxOEq75o+Pel33TthFrRsymNHt4+qxDU/a0ZJGXgKeVKQ8rTvOSYORSfpzVVlDGOZGsLyxn7ubWNiwUmMsDS8jx2SWnj0dMQk7MAYHVt/rAOsenZnks5MeblzOJhMYg7Yl9bZaToxJAxSy0o801hrOkjTvTbVpxiR9rfDQPDzuUvqLTKYjzgk7HYzpVZJltwj5t53LIVOnR8TPW/YLtaExLz2VqkHDNGz1l/V8OvKgsxH/7acqbgdR+ZdLTgsWADKePOdJgbhrr7EQOKYCyfjv5zZQzisXsN2xcJcotGK2cFnvHkkRM/VIOzPgsBVZShC7rUY7p5jkZysOO4YE1b6WAj7MN/EjjK829ox7JWsm72wN+erTBsIzodUriVk1VvwgFZkMR+Jrt9ZTt/pi7eY93ggEHVUKWedyS7mWT5SinAcDyQ3RlCCDKPQ3OQXnB08uUocVeJqS8GFZA9m/5qGQflQaqKW/HwYySMDrBUOgmC3GWvJRTsbeUTCUNXx9YY0EP2h6YpOIlE2jH3aSTdSoBYYTVg4/HG/iexvc099IeSa/ken/Ix6N10IqrlyfsPYay9C0F9iI6lyIINNvdlO3WmLtZj3fiAQdFQpZ63HoBV7iIOLcvMtteFrg9i5M6kK2YXNmKdtmi4biErEuOiVIoTHaUi160r2V7cNIShGVPTHpRpo3yvkzSxqZonxRoea8mSaQCohp8uRikBy2v5NGkQxiV6EwxzkImacjVzTG9fsG4Cnmw20GpWnx878VQHp6GOKipteKoaKHCAXtVi6iOGeYRPWNhSvrQ5q1cNyzL2RzxWelQl1vf5NVdEJgB+mXDPHrJ7MrHDcsKzLTNToRyGZnGqDPJR4hypr42C8Vj2iNtnEgcl5OeJbUoqUN5fdNWea9LWYyGbpE0h5Xq2GIuU50SXc5kaphGbK9PWL+S8fb1I/7pH7yL5yGoxBeTifhEpkrFES1UNGAvaxHpmGEWLb7O/Brh3Fejlx0a3F/RsMenJpyWaGbKSMGxY2WumJgRLlPWNZc2FMdl5pKBFGrpZZluayfXhtZv84zM+caSlSsUSGvYpAJXCGrJmLIhvNc5YKBjDqYxbV2wm7cZFyGXWhM24pTdww65UnTaGWXZIn/S959FgdnD1SwOcDiJiDcr3osOSbyS/VGbX2ndZSebfw/MVl6c8FsOKHKf9MZO60hNHciV7nrB8CrS6GEhl6m1LVkIqVzsj79Kx9plrJrkI6MrUlFe6gpZp9wn56fZsXMDaVDaiVM+s+SPIYvu9CT5tYbOCPyMRcaHsShDeC8/YDCJOZjEtKuC3UmbcR5yKZ6wkaTsPuoQtkra7YI0DSxm43mVmKbWcJhGxP2K94JDElWyn7X5ld5ddkZ9bvVfv1T6c1dgEmaAll6PPCbRRBHKobLp90mwjXZpyEuFI70bWJ4bI+k9o7hMtpNtyJs67fszikoqMjPx3yh5STMaIZXXMAJo5rq0zIEEvhHsM4hiHlcJPxltUfke60nGN9/dZaAisr2Q3WlCEpekcfEcNKLUQgCaMCyJ/Ip2XFJUHolf0PZLWq2CLT3lyKQbu3SldGntMIIcOe0AixzlzpLt4LJkLnAg/FV9kbmyfrtsAcmIuDKFXefI1yXpRlOf/Odb59gGqFEFcu5ZxLIiq61/8rqFda4pb2QpLCCacCzI9w1/n4GKeUzCTyZbVC2P9Sjjm+/sMuhFZLshOtS0WgVJElKWHnX9IqapaMKgJAoq2lFJoT0SVdDWJS1VsOVNOcriC91/nxUXQoHJTinTa2WgGJYNaxfkcTnA216eyyKz2SfTrpplgbPHzaY2yGzCRPwzwmz6v/wWnmmbUVwmwOxb58u2G/mRlutS1hQLYWzBk0G+p3K+079HP84Y3o+42h5TtxTE0OkUbF1O+WiyifpYk+Yhw+EJN30ilpVXq1WSJDkdv2K9lVHUirUk40owIsxnqfTdYG66nMQv21Siba3YVkRTuqvdVJtybBqlLxjsBbJfBmzDyJZHF7vrshU8x37ZZ2VMTcqjzF6X17DnetlOuYRUikaWfMfxJjzRWY6BqefnfKd3j76fMSwjrm6NqWMFCXQ2C7aupySbJcMsIk1DBoNn/S7Y8rfAkqQgCmr6Uc56O6OoFGvRXKaCmtQT39h7zXCuq9Hb1pwtELX4bY89oXWOGWdcSRoS9nWlJ+SKo7lgC5psv8xSNJlhRomZfSZAbYQIloVIzleRdIc9Lhslbye6SEUpKVCbl+wFOd9evw8V7FR9RkHIXtrh2qUhe2EbPdQ82usynb6ooVGhNfS7Ode6E37u0j4P7ne5c3SJfpjzNfWYaSm+ByZvAPHX1uLyJUiuWI5GMirvMt0lKvH3WWJo54RXkUYv+7593dNYXrlts7qmj8v+HLH8+E18TE5Fya067DZ64piUWfnPvhfZNaS8mTY+gbFuhSD3yPl2fB/6sBPNZarocK07ZI82w0HE4ChmPH7Wt2XHsRR1DUlUcv3ykJ+L93lwr8ud4SX6Sc7X+o+ZZgE3OwcXvv8+C85NgZmOcJoSg5MVmYHtOUnvw1XWhhzvCqucyyozcShp2JsOLj0qX2wb4ZFKTmYVGoUXsyyUPZY9rYpl+t1YhTaDHslj8bxy48qJPOFvrO9TlR6tpKRs7fFZsUZW+ew/TJhMAkYj21I8K19//G2laUAcVfzFW3cZ70dsdyZskqJrWK9TrjOgF+WLGzWQD9QVF3Ndzh4j5ItyBUea6voSCP6r/KCl8cDguNEoH6mkt8127fgLy8agVBKyriY2RtolTRSiVFiyXtl2+S2wCYvl4WSc2tSZ1JBMmM2vHHMsg+Yba/tUei5Ta3t8lq6R4fPhg3WGw4jB4MWl3OR5QOBn/MXbdxnvCJmKYb2fcn19sFoL8UXCfLvIzrZzMTyST5f7ToIMhZi/thKywyeu68pyLiVmhnWZ3GeEr6mdsl7pWZkkETubMGL5kymmXqOYzPqIfbHfCN2S92Vgu6hz68Avan78YAsSuPreiKKryIu3596Xi6eXAtGkzI4/AU9pRkchZe4R+jV/+d0v+Db3qB563Cr2lgMPLtrQ3u/iiF2K77QOYLvldgZO8y1dCLzKJA44zlTITEPPOibPsV+bzaJIdkHKrVRQtm1hO9WuJA77mnKFEHN98/kk2c2MLBkFa1b3MPLYziDJIDqy7KUC/G7Nj4dbMIar8YhiQ/HP964zHNgpXga2krHlyq2ElIIs9ShHHmFZ85fXvuDb6h5V6XGrvfdaUocG56bA5ERFcM/fgmUlBsdDGzaH7fot52/ZCtHsk7AF0OWxmbYbRWRiT5LOM+nARvDM6tbmfNdXmM1zMErHzJ20lb3x2sx9pfOyldi3RHnIFOB83pgahqOIO9k2raTklzsPSVXAnzy4yudBH11BrV2CdhY0jPSqYjoJ+fDzDf7WL/yUbyX38R9oWjpvVhpm+yQm0+4INpq4ZblfdpKml/+yA03PiFeZRi8NKViWM5nsFLJs3EmFZU8xkbGtjlUWFuPFmOUvkZspLKa8WRLKptulvLp6pkv5moWBTfq+nbglFbP0JIdEfDKZLY79y9FD0iDgTx5e5fNhn6L0yIoXO+wqrckLjw/vbvC3rv6Ub03u4480LfKTWYbXAOeaxGF7I02Mj+x0ktNuyoCyBUbaMYZusNayPWaA27DHz8ra3zTeyfkoppytjIyCgkXMzAica8KmRMFMuGDxuXRDnxgl6cmGmn85MIadtE+rXdLySyigFZXsHrUYRhFV6VFkPqcv6mtTii5/GkDT6VQkYUWoahJd4BeaaT6Pe5UctxbtQKOcYGS7AwauUeosiRimUzUpqVcRZHpGKF6+AjOPv2kOlYxL2zFqc76RR5Pu7rHc1yMWykLKaZuFLJly5rhZAadgsY6h3SbTTtP1pYzJ69tiglUOUbYpQesT+rSSkla7hBa0uiW7VYthGVHhkWWzpYjPtlB2kywZaJK4oN0qZzJFga80UwJutg8WVbymOPcsRJsBsgOqpyWPNZWR5WyPyq7DwFiLrgCz3K6sfW2Of4bFUBfGMjbOv9knEy6k4NiCIuefybHdcPH2czP0iRzMnozd9siSwmgcsaayWU+Ym8ahrslzn3EW4ocVXmU+hX4STufYw7AmDmq2NyeMioB/+ckNfv79fW5v7dLbz2cvwJ4VDssjoT3HQbrUkvqTL8HUIc8z++2XbZ8ncYGzERWvRr/ahpptWJq+aMuOhJ3JKxWGjAmbJA5pxHVEGaPA5DQXuYq8rYRc15aQr9dOo7fl25S3aXuYeWAbxpwsgSmEXk0+8RmPQvygwitfjEz5fk0c11xZnzCaBPzLuzf4+bX9xZeYjXt7gY2v58GFykI0f2Vnk8kPNm9u04sS9j6ZuOZSRPaq7k0enoGh+WTbTB122n3NbGKksfzM+UZZmf4lKUW5aoApbwRKUpcmmcO0QSaAGITz/4Z+xE7eZ0RE18+5zoCul5NmAa1W+aTiK+0xH0/XCVXFRjtnOo14/k+raMKwZnNzShRoAk/z3vpjOhSzFQJM5LxiYRG4RkE7GNo0GrmUl9xnZzKaOm3YneCCWrMyMeplwigU16LTS0lDHH9UlThfyr/MPpQL8cprmPNjURaWPzHksaDcPZYXwTaQFL2ROXMNuS9m0Q3t+ZiyrgkRn9MnI6JPztsM6JGTEtDS5ZOyV1pzmfIqNjo50/TFyFQc12xvzWUKzXvduUypfDEoyVTN1wzn5oG56DjXtp0Gax8/SYmdBFd67GlKy8CmHwyFYegNexkcc46kV6SHJO9LZjEaIbYtPnNcKjzpoZnfRuEVQJZH3PG3abVK1vyMVAfcGW5zIzzi82wNJpC0S1IC+v2Mdl0Q+TXrnZRR6nE4fr6lYsOwYmNjitKQqIK8CLm5dsiojhaL39nrcUnzPnNUagulGSFdc7nscnA8kGjXawdML6jyMnhVY5RtfEoWQMazbBtBUuiw7CVJWi5ylINFQlOTQjHXMPXKycu2LWTXLc+XMOe6utSUiM/Ypk9Jn4yUgO+zzXWOeFCtQQaJX5JOAvq9jHZUEHk16+2U0fQFydT6XKb8gjwLudk/ZDSKXsxn/L4EOPfPqUjvwYb0tuyOJzuaGYdcHp28litx4yTFZ1OVcp9pkxE4j5nFNnGca+JcRrAMR2+Ui+1xnsScme3IKi/XUjT/jGU6Bh6WfVplSasqIYBWMfO4DquE2+EuO/Q5SmPUmqadlPzS24/I4pBwr+TxNKHTG3AwaDGZhDytdChVkyQlsV9SFYrDIubdzQMOs5i46DAs5msfymwYSeU1uec2H3tawLqpA0irQ8IX+y+48nqVE5mxruWiDaW8mP25KCf7s1ReZlvW44o9GZm3Q5a2Mm0aN8y2VJaetd90C7lfeph36dOlZG3+jbKEkgiYkHC7s8tO0ucoiFGJpt0t+aX+XKbaJY8nL0imgrlMlTHv9g44TGPiaYdhMpep19TzMjg3CtHgLM9XKjJ5juzo0ki2+XmscraSMHU2eV+SckDUYa9jaAx2OTbGLLKxZPqtfU8u2JSnCRHB8fkp9vUle+4Bj4m4Ms2WZlAnquSojOn5Obf8PejCH/tvMChiqjWPOClJgpJeqyAMK/q9gv2DhP2DlvWhy5NQEwYlragAFHFYkKc+6+2MwTThnWDAneE2t8tden6DwLk4WXnMtkZOCx24+Gg7mGrXecEVmDGgXiYkA+Ba/cI8qo4oYycsnZTEYag7k4VoaEDTz8ccT+IwtKKJWbWZTSkx9co1QhHtkp8xYl5fj4V8tZl9lqUzL7cmnoOZTvmAiI0gQ5kZ1v5MiR0R03sj51ZvD9bhj8s3GMQxVc8jHpUkRyW9dkEYVfS7BftHCQeHCcWZsxPnMhUWUM9lauqznmQM8rlMpduzOFiYr2JgLwNmED/r/C6XNyQVgE0pyPKR2GePbTZT5Vn7pIUoxzkTf5LOgvGmbCcCZsIh63QtSmqOSeVoYAYOE+OSq26b65hzzPVlzKA15+XbdTkLLPuQlgFd8USGZcQPhpfZ2ppyOZ5w6409/sWfX2ezPaHQPptbGfsHLdSJqXoLeF5F4Gk211J+7t0DQk+TT3zCdsW19RFvxkMO0hZo+P3x21ytx3TLnOvhgF4l3pTMDpQP2X5ABrZrb8/rMpCeWxNHLetsOnYB8CpiYOYx2VmIUjZg+XNZ4FZgtjFpZ/UZeYJlA82uWypSY2gaGbGnFMq6pLdn4nKhddwT++yYngd0TKyLRawrZS5T8/z74TTiB0eX2epNudydcOvKHv/ie3OZwmdzI2P/qMXyVxKhKT7m+yVKKdZ6Ge/dOKQVVuRjn7BVca034s16yMFRCyr4/cO3uVqN6XZyrncHq9XoXzSkENhDoj0e2dlDxrWX54bWPtsylGPgSW2S50iqUIZmpDcFy1SiXAy0Leox++RYasobSMGSCt4ck+cZb0vep1SyJmZQAW8y4FO2USkknZK0DpgWATeDgycV7kz7bHgpnoJpFlBOfNbCjGnu028XeFpz7dKA8WST0nClTwRtJoBhOGuR1grPq+m2CvqdjNCrGQ0jYr/m129/yppXsKEyDiYxP9i/zNVozNfbj0mHAXeybW63dunV+fGAoJ2QYXtkTRk9Lvfaph/lQ7UtqgtuwSpexAc5Tobpa8aDctFxZttWFLCsrEx9sryMcUnaTtLoUoHZiaSmbOT47VllTrpHWaehKY3ylWPINgM+LrdhCklRkgYB0yjgpjp4EtPdyftsqBQvg+kwoBz5rMUZ01rI1NaA8XiTopCyZP7Okp+UUtS1h4em187ZWptSFYqjSUw7KPn1b37KWlGwkWUcpDE/OLjMVX/M1/3HpGXAncNtbvd36QWvlxI7NwVmxgi7M9mxnibIsUcqHWnt2bF/V+KZ61qGjpGCIVf3sL0yKcjGwjQrwMswraES7bHUlcktJyMbwZWQKfRmsqXZtpmwhNkabd9gl3vZjJfvxjk3g4PFd7dqGE0j3t464ofjyzz8pEOnk/ON7T2+t3OVt7oDytjjcBhzbXPIoJUznIbkeUBdK6KowvM0vq/Z3CyYTn08XbO9MWY4jPjibp8kKul3J/z0i0v8whuPoIbBOCGrfDaSFJVAK5/F6HaKPrdae8eViG/dnA0XDSgfpA3bgjAvwK77AqfQG7wq59B+vLZzKsOGcnaDfDU2hWiO5SwvAGDQZJfYaBo3pBMuE0TMdW27xdD1Zrg3ttNy6DTnHXZ5WPU5qGJ6Wc7t7GBmeHmzk0cq4u3uET98cJmH4w6dMOcbnT2+t3uVt9YHlMrjUMdcWx8yboWMpxHjLKSuFXE8kynP12xsZEwmAYHSbK+PmUwiDooAKs3GVspP713iF/qPABiUCRk+G2GKUrPv/lEz+6RK7/X6pMq5T2S241o2+wPHE8sMpMdh5j7ZndqOk0lrSsK21sy2HSIxystQHeYa0jszXpZcwNeclzJL9DBc/oRl6lJey7TLxARc16qsbTuzy9zPTGhzbrJHR34jS3g3XXKKiU8nyGnr2aTL660hyZslOlDcS7uEuuLnrz+m3S34k5+8wTgNGIxiPL/irTfGaAVl5TEet9CVoih8krBiMA0p0oC4rvCzmo/TDd7fOGA/bREHJVeT0ZObSbySIxUv5oTBcS1vJ1fYpvNZRjxpUsu1F+3OKJ/TBcWr+JyKVED2QgBSAUiFZhSANMqMjJjytkxm4lyZRVhw3NYwWeKF+G2MR/Pbzv3JWFaexuiUtKOM9cm5ZrLtM1nMeXv+lWgfCEuYAq3h7HrdMKeofTpeTjuMqEYe170hyeUSjeLeuEtYVfz8G49pt1Ee3rUAAGGlSURBVAr+9NM3mJYZjwcxHoorlyb011IOj1roQs2uP/UJ/YrxNKQoFEfjGL+q+Xi0wfudA/bHLeKq5CqjWWOKuUxV8VmY/y8VzjUGZo81NiXhGjNsmtEeXzyxbcrI68Rin1QKsm55DenZyfiUUU5GidkMlGmPTTH64t+YZWGXQiOpS3lPNu1q2mgrL6kUC5bH4rCAaCwaNx8trrcH3Cm3yaqAN6Ih99MeeRXwze09kqhklw7/da25P+zhobm8NmSahCRRhdbw9Rt73Nvtce/RGlUxTx45bLHRntKiRtcwGMW82R6yc9DjT4o3WA9SfrH/kG5VPLmhtLA+/5ByXGGZBy1HJwlp9tuKy5UUYnt2TdTABcaraqLrOvIRyv7vSvw0v+3+K5Ob7OOw6NO2I+5qmzRW7fbaY4ZUyrJ8yrKilTE8GQ+U8WezTQatGq5HA+7422T1XKayHnkd8M1LeyRByW67w39dae4f9fBKzaXWkGkZEtQareCbbz/kaJrwKO1SzfKgeHzUYrM/JaRGK5/BOObN7pCdox5/ks9lqvuQbrlQ92kd0PVfL/oQzjELUSoVF5UIy96IVFauzmsrHcnXm+uYehKWO6T0YJraIXl9qcDguDVnzpErAtgpwrCwFO2sLgMjDMYDs6kaxLY0AqRxYBwLGRAfA+FoHiI2Sxf0Zt8Iu+3t8sF4k/9q7x3accH1jQHhuCadhtza2uVuu0M6DalSj1Y9y6J6d/uIWiuOjhLqUhF6Fb2ooqx8fKU5GiW80RkRtWrioCDyK3pxzkBH/Ltvf5/HB22mWUCiS9I0YKrnS0vZ34Q3D9t+UU1UoStIIs+Rys1nefSyFd8F98BeBaTDau93yaSUL1eWMCxTeGd5vPZY0USb2+2Rr9WmOGHhvZkyhlk2BIBcF9EmL8z5xpF/QucX0Ktybgdzmbr7Dm1VcL09lylCbm3ucrfVIc1CqsyjVVb0k4J3N46ofcXRIGFShXSTDF1oqsInVBVHg4T1JGOjndGJMiIqekHOII34d9/4Po9Hc5nySlI/YKrmS0u5Znd/ifFCFJhS6m8A/3tm7+3/rLX+T047xwzOclCWHdMeO2zvw3QWuS2zocwg7uLpTVnZgaUHY0PSgXb2ksxUMteTK2vYiRewUKCpuAeZ7CHbbO7deGLGIjRB9Cblb9brhWUv0Ah7CrQmLCTSLK1fQl16XAtHbLRTyODzdI21KOVh2eGdZEDvcsm4DpjWIQ8nHVp+TomH52vawWxdxU/vrjNJfdphRVXAOIvoxSMut6a0vZJfePMRxcinrH1u93fZOexzVMR0q5yb4QG9Mkckdy3fCBx/sXK/PRo2jbBY5WR+tznmOcq9AjytTL2KLEQps66kCNnP7ExF+3xYlkVTXi7qW4jjBj2rXrmQr2RLpGHc9Ors0IC8F/PbbNvdSSrLpoTYCtBz+aprj2uM2PBTKODzwRprrZSHIyFTXsC0DHmYdmhFOWXo4UWadlHSViXZ2OdxEaJ9yCpF6Sk67ZzL0ZQ2Jb+w+Yhi6FN6Pre7u+yUfY6I6QY5N1sHr10CB7wABaaU8oH/I/BvAl8Af6yU+n9rrX/UdI5RCE3ZgE0JX/b41Wmoo2msMnXYsarTxqaQxQrXUjDtWJN9XZPC7hprTYKHdCgk/WLQEeUNbIfD3m/qMErOzEWD5S831zWEE4hMYGAMO6pPrCtuhXvsp22mOqAdFGz2pozKmGvtET2VM6xjpl7A9daAQRaR43NJT/ne3lXq3OOt3pADPyEtfHzfY5gGvL1WsRalXGqllKXPzfUDRpOIXivnVrS37Arb3I8cmU4aqW1PCpYzCSRcL79Jib1CRfYsMvWqlpKSysHAZlGMsWc7y4u40bKsyOkoMo1eKjgDI7OSVjT1GMPR0PqJKGO/NjtMYSdkyfpll5IyJo/bCk6uVfp5OZepYI/9qs20CmiHBZtqyiiNudYd0QtyhipmqgKutwcM0og88rkUTvneZ1fJc5+r7QlxXZPmPmHgMcpmMeU1P+VSmFIWPjejA0bTiF6UcyvcW8iLonlQ/BLjRXhg3wE+0lp/AqCU+s+Bfws4UdhkrKamee6pbRHBopPanUlC0nKu7EQ77ibHJ5kibBSA3blleMWOPZnPphhPyxZIA+N1eSySOSqrLltp22O8PGYsXMMKGvrUeFywvM6c8eTCEbPJmCmM0oj1JKUqPG60B1CDLmF/0mKrNWE9TxkPI650x0StimEecdn3eP+Nx+TK595+jykBiVexFU15OOiw1s15OGmxHY3p6oItb8zlYMq1eEQ3zRcPQd6QfOD2iGC/cHuEkufJWJgrwaNJiUnT2hx/FRpihmeSqZe9Gr0ZwKVswXEP30xkto0x+fhlbElOQUlYTlqSCkzKrCtublYik5P9DWxZkTIr5cpAjhH2fZh7cY0pUtGZf4dErOcpVelxox6AD1rNZaozYb1KGZcRV8IxkVcx1HOZuvKYvO1z72GPqR+QxBVb/pSHow5rcc7DaYvtZEzXL9hKxlyuplxjRFeLO3fRM68RXoQCexPYEdtfAH/xtJPsMaXJU7HPkcdPezd2cobsiC5DWtIZRsikZSadAERZIzAFy3OvXB6ahFEmBvayUrIeSV2H1m9zjonNyQxJKYgS0oIsgKgAsnkm4tTjbtSf1VlXDP0Ir9R8a/M+n2drvJkMOMwT9qsWnq/5tWuf0Wvn3Bltc6NzxPePrlD5irgo+XbvPmMCrrYG9MOc2/1HXGuPWY9TfDTXe4Nlj8dlldiRefu4gR2VdyVr2PubYCtBOHkC4YvFU8uU8ehfNlxsrIwNm3YYBWbrfBlfkhSh9MDauBVYJLal4jLKyygwuSKJyfaVr9ElYzL8ULO8lFSTcvMd/3Bs98nB97hb96GCSFcM0wgv1Hwrus/n6RpvBgMOpwn7eQuvrfm1y5/R8/PZeqWtuUxpRaxLvn3pPuMq4GokZKo3Zj1L8Uea6/5gOaj3GsdvX1kSh1Lqt4DfArjE8cQHmypA7Ifjike+EzujUSZOSKvRdEiz3wRmYdlyMzDbciUWY3nJAcOmS8w9SaGQQmnaamhUEzeTWeOm/ea4EXoDWbfx9Mw9yOdoK015v4Y6SYHwaGbFX28NGFQxb5YDDrOEfX+upDY+41o+opfk7BR9Ql3zbnLI9a3558o13A53+Wyjz+5hhzqDjSSjTckVv+Lm1gFfW39MJy4Y5RFdcq73B/Sy3J0b3ZS1IhWcrcxMVoyNkzhlu377PIkLNghImXqDV/M9MDnow7JhZ/pkj+PZeVJ+TJ+TdKA53yiwWuw3ZYwysvu3rQSNAqvFfuNQV+K3C7VVRipsaRuZ5yETec19mrHF3PM2A8ZpvDD86hZeqfm1zc+4VozoeTk7eZ8wqHk3PpzJhZ59jPJ2ay5Tww51DhteRtsvuRJX3GzPZcovGOmIrpdzPRnM4sd2POE1xYtQYHeB62L7rfm+JWitfxv4bYD3lFr6zq+tpGDR+ewy9phiBnY7QUJSfK6AsqsuWaeLQjTb5riZd2aub8erjIKSytmeoCzZMVOHUWJSeHwW1KRsg2lTKK5vBE/SrE2wacpemXM72mVH9Qm9uZLyB/SKHAbQC3NuBXuzhxLPG6WAMfT8nL/57se084If3rtMoCuSqiIOKq7qMd9o7dNL8sV3KkyShuEyzahlz/aWo419Q/ZkIRdNaB4SVll5zPWgbC/w1VmyTy1Tt5Wy1yJ64bAf01nZKSkP5jxpkEkFlACqDX4FvQyU6KBRAXndPC6Y/R0WXcEYtJI2l56Yi5Y027bnBce7jp3MYYzZZWMz53a5y07dJ6TmXf+Q69FgNuF5LjdP4lVGFuYV9zo5f3P7Y9q64Id3LxOUFQkVsVdxlTHf8PfpefnC2i1ZuKNyIckLZny9KLwIBfbHwM8ppd5lJmT/A+DfOe0k2yW3cVqc3vy1B3LEvqYsQNPppPUkFaYRBundSCUoF+S1Qyv2x/TstprrmVwBw/cbpSXDL/aYaz7bYk+gNjJeibpl3oJUmnacbcnznRd8IlBmdVWTPzyxbrBgZm6bc33oFTl/Nfqcq+0xH483IID3Wgcz5VUIbl66o/ZDDFnM9vZoVkrmwdp1mt8uD67JGnWVldaDaeurwVPL1KuYyAzLHooNO2bk8lhsmYVFH4yYK6x5RSoUhed/I+OGzZFky7MtjMwi6jQekR1LM9c2+6RDb3th8t6lDRRyvIuamLNkVLZ0zs/v7z2RSTVm8fEyM/gYi9MMMGZ6y1rOX/U+52o05uN0AzS8FxzwDb1Pb5wvbnbIQm5MGrId1H/N8NwKTGtdKqX+x8D/h9lj+nta6zsnneP6eqzL2pG0g4uykMpBeisyC0oqFVhOMpOdUdIg0mKMrH0Ri4xESUXYwimVi2yj7NRGWUl9kFvnTlh4ek1JeTbks5DPzSh1O4DNvG5f5iSbQIZ0EytmQiI1vxkxhosG9qqcb0f3+bZ/f6F5y3kZk5opG94UqDMN8074bSuq2vrdVO9JwVAD29x+RXhWmXrZTZV9VdJnph/KNQhdRqY8Lv+C6BKum2jypqvlkIG9/JRstzmWMhvXDethursrw9BQnbKrGKbEyKjMakaUM/Uak82MI8bADIv58zANNl6XuYh5cPP9PXK+nd/n28n9RYOm4nyzfp35Zyaxmc9WvKY04guJgWmt/yHwD89a3iw8KgdXWLbMZIdwcftSUUhFIrlwmSkkufiQ2WRem9MPxbZMgkDUYaf82vOt5D3Z1llo/TVlZLxVfrBvwrIFKK1aW3Bh0f/tZ2i2ZcKJVIBPhLcG3/AgsDz6GA/MSKDR4mYkOGQxShjX0rh/2by8nDshhUpqU3MDdnDBTsBwxcWkpyR/28Ir+WXbMmjSArbGf8l4WpmClz9GeeKvSaiQxpCUSSmD5hw7W3Ep21eebLwS21I1WkE0RNUzarG2DsvrmirkK5f3Y+B6vbKLunKJbJbENmwNjF6pZdliRpUeq0gqHdkfzQLa0oqQcwaMB2bW0DKKUFKJrxkuzGr0kn6QY4VNOdj0n+zf9soXMv4kPSiTrWQMFDNmm+w9m76Ug73Lw5LK2PQnOwYljSpzvhQ6O3vR7JcKWgqFEQTJssiYgrzfWOw3a0bCsgD78ocvChUsm6uZKGwHFcx2wcxCkFkqkoOVVqPtonqivJ39Z7uT8rcrOONSNraCsgdIqUgNvgTW66v6nIq0DWzl5fLATJsS5vMN54X9GlqVVdD8M7y6rfFcM5uBRAiGkSVzTSlD5jXKRBDpSclZGnYXA7fCc8qQgPTqpMcHcz0ltKJvCkp30nhSPou156TAm8B4ykx5jXkir1U9pyvNzb2GOFcFdtK4YDqZNLh9lueISMjOI2VBdkSpiAyVblgzafxJ5WLqc8W2onBxsi6WzzG0X+TNZuNHzK1MFp3WKFAZ6pFjvlRItqdlBFAOKNIYk8oflvu92V5avNjmJA1XInkZm1I0lqJM55SVSwUnM218lh8WHFdActs8nCbvSJ4Hy8rHhlSCZjSRo5arHmnOX1BlJhXIy4KUB3k9qQQMo+x7swEUcWwpOGX6kOy8MpPDVm6yb0oFVoGfzSg5yVQYSHmVVfnLVRxz+Cvrt931mpz6kyDlWdKWTxRmNRsrlG8drKyCteO4ucD8n66FI1fMY4uvIc5VgcHxjmQb5eavjGXJdyGTLyS1Ib0i2UFheS1EyWHb9Ic5HlnHlyyv+U4VzjqgL63EeQUqmVmcRrr9ubUUTo5T1MP534zl6VGS7TL3iDgmDVPXMzIe3kmB7CU+0QTqJM9jvCPjhRkOtRDlYXmkM0pMzg+oxD5pHdpcqMRpI4SL/7H3yYfpUp62hyfPl7zRBcXLHqNchqOLNvRNPy9m9J4HqJhl4bE1S1scty0wIyBSU8oGFBANZzKWA6258pQemGm/bdjBsizZHpi8nNEdiCZJo8GcZ+LYIctKPrR+h9Z+whklemxAk5mE9r27PFhAFTND+YkHdtEVWHZ6ERfObTFfuwOZ/mmPEa74l01PmPcqO6ZtNdmctencpiPW1jnGkgyZUx/2hc1kFTMI21a8tCYTFtl6pnw9y6iq6oWgSNbNXpnEKCEJ2Szj8bmcFNN/ZRyiYqGbPObtMMpXxrLMBaQyMpX05tsTa7+5gHmIMjlEKjJwLyRne2fyhm1qzxW/ki9TKiFPHHf9lm2Q9eEoc8HwKpI4XDIi4R/7MR9AXRYpHH8vUmPIfXK7YFkQjPCH4GXzqv15v66Xv80nq7PHBiMbdtjCtmWkbebSpVL8pcEodbWsU8mLGhlr6mv2czQyJunG+W/jgb3suYHnjXNTYLY3YCc62H1dQnYwGYOyxzyXEWeuYeLENqM0IeIL+hRE9Mi53hoQdfLlgVBO+NoUFzSdzwhVwUIL9uYXMcHVuTJIjmanGvowYaYPTHGjzEzyXiiq8MQ5rviHFEzjdZrnIu+5kidIulPyLbZlkTJzF809yRcin5UcgIyyksE7GayXsONe8oZsas+GbcU0DZiueuTgIb0v+76+grBZZpd+98x/xhMAhjpix+szqiK6QT6bV2g+7SEDVqYjG+PQWFgyBmY6s0HME0NL+fMVZearBqyPFnkPNkEgX625F9l9pdMnjeMmBWbH2GQyltCxT55RyFzGJF3iGvQarQRHedP4emY0+GdJTvqS49wUmEwskFaL6SguwxyOJ2rYrIQcN6UVZTMQRoFJJyMl4mO26VLS8TPSJOBOe5sbyRGHZcLIi+jG+WwSop8vZ0iYQc4oNzumYhrQY+ZqMWuESqBlAq9zjZrUs2rNlA6TvSRjDPbzMZeXcS25Tyor+YylYC8lo9TicytSaRhlljNTYD3HwzeQlqVppGtSmrwBA8PFPA1t5/KkXLEtqcjs+l0emdl/gSnEV7EWokwglQ63HLB9WErVHeqIO3qbVlyyFmWkXsAdvc2N4IhDL1msINEbzCa5h8A6C09cWp+m3xkZg8WEq8csEhnmEyZVBJ3hLAZkVucwTTPyb6qQLIzRgR0WhAkswrC2nBndamCejVRgUvE/CQHIwQ+O91Pz+zTmwS4r5ErOq3sdcW4xMPnupAFiKx2ZxAHLnoZrPJId0X5vpiNFzDh5kwml5xd5SJ+uX84+wR1CKykZeSH/aPIeG15KFXr4Zc191eU7+h69KF+WXGlmzRs1VBE7RZ9RGdHVOdcvDei1xQK2RmBTGGbzsqOIbpZzhQFt8ifxMNmvjaAZObctQuMYSS9TpuobBSZXD7Cf6xISForXXNQMHnZA3lxMci9yPkBlnWMGKvnCXJ4Qp+yzIa/t6gyu+lze5pcAr2o1etNlDbkACwX2xGtPeOJF7dR9Wl5JKyyhDS1VMlIh/2j0HhsqpVIevq65n3f5TvcevU6+yNQyndMKSg/DiJ1pn1Ed0VU517vzVS2MchOadehH7Azm8uflXCsGXCF/Ems23RgW3dpUY9hvKdLmnqUBDscnPMvpjkY+beP7ybOSg5tkI6QLWFtlJL0iGR8hg2FmPb/XEOfmgRnY7JExdD3ruB1mktaMHMtMGZfRscQsCXpPzQe4URCxRjbb35rtu5d32dF9tpMp7TAn93w+zjfYC1u82zlCxXrGOVdqJkzh4MlyScMi4s7RNq3NkrU4Ix0F3Nnf5nayOxNU0/gUhuOIO5NtWrpkLclIpwEfTra5Xe7SL/Mn8mzuwyimx+Ke7H4qcyxkXoR5XmZc95vqkCPi3LrVxTwgbzhJ2agnD1fsN8+5EMfMfqldpUlsYDIcTb12koW8GfnbpdxsBSsh63bFv74EMJ75y4QZI22KTNkZCT2eDMyjKmItyJa8snvTLjtBn+3WlHaQkyufj9UGe2mLd9tHqGouU1rN1sxcG9Brzdb3G6YRd8bbtDZK1oKMNA24s7vN7c4uvd58Xc25dhl6EXeYe386I1UBH2Tb3M52uTGadayqXigwQ80bRWXoeqNPK5bnfEoDWzLe5nwzblXzOiIpT0Z5SaVl5MSOCUqKSg6EMn4Ssvjc/NxyVTIE8Cqsm3PAuXpgcvCUysnAjl3J/bKcHTeTcVE4PiZVzNNV5cEQlK/5kX+Jyvdo64Kr8YhPynW2WhPiVgUeVEpxWCUc6Jj3Nw/40WgbXcHt7V0Kz+eOv83tq7v0NnJ2HvVptWcfeBxNQj45XOfj/XX+ZfkW39q4T6dToJWi284ZVyEtf1aWFFrtEiLYKfrcKveeZHRJziIvFnkUxuqTz1HqFqMvJGsn54PJvg4i8G55TTVzbt1cxCiYjuPFuDwZ+8XYL0dSkXbMyg502krmaeJTZ1WGro55AfGqPDBYjJmRtC7tpKX5YKwCzY/KS1S5R9sruBrMZSqZECdCpuqEgyLm/fiAHw230Rpur81l6mib2/HM6NsZzmUqKRnlIZ+M1vn4YJ1/OZ3LlFegUXSDnHErpLVZ0qpni2624hImsDPsc2tjDwA/hc4YqKEzT6oymcG+B50afONuFbO1GKUBbbq4XN2nYjlLsWKuvOQSPnB8TTojiHZSgOWBAsuWvblQzSJDuLLKvaY4Nw/MpgLtsaeJHpZGuVSCUmkZ48R41vb0kydrrhlTKZ1Za4MkZqQi+iojrz1+ON5mt2xzJRnzE70JgeZB2WUa+UR+zc/SdYJuxX7a5p8PbvD1y49Za6d84G/R8Qt+98HX+PRhn2EaMRwltP2CNX9KUXp8vL/Oz6vH/KVrOxyOEv7Lvbe5EQzYZsrV9ohur6BsK348vDxbvT3PuV4O6JE/kZLIg159PB5m04k1M/bPNgDBHWtc6u/+csEngWfDtbjmPRhtKRWDnXwhz5F04kkUngzknXTchnnXJ1GRLiUmty+6Z6ZmMZ+XiWg+Odb3wJO8tZzDJf4NdcRAx4yCiH6UkfseP8y32a3aXPHG/GS6CZ7mQdVl6vlEQc3PBkKmHtzg69uPWVtP+SDdokPB7/7sa3w66DPMIoZZQjsoWAunFBOPj6fr/Hz/MX+pt8NhkfBfPnibG+GAbTXlajyiGxSUnuLH1WVGah576w/ohfkTIfELMcHaJEKYAFoxX4sRnlB3/lz5JMUywxEyH2P8WQzOGRCzEzjM4CZjKGa/9LgMJGVi6jKDHCxSl1cU4suFHBvsTCfbUDZUSVMIw0xaN/ukgcJ8W8U88RiGQcQH3hZ/UN+gUh4byZS9eo1UR3hRxWQa8GflFSZ1wNEgplAeb/eHfGNjjx9kl2nrkn6S4QWasuPx4WST/XFMfFDzjz54j6rSjLMEKs04DbjUnpLnPpfaE+4/6PCT0Qah0uBBElasBxkfZptcq4f8TK/j92o+m/T5cXqJ3azNLX+PbwX3+UZ7tjhulM2EToZ6Wt7Mw5QKzH6Whg4y25J+WvJ47fiVFETDp/jMNKSMbEul4XINbIVhJs/YL97cgIdbufiO3/aNSMvGxtN4bc9S/lXhVXCIPk+WGlOSZzPJTMns97AV8UG1xR8c3qDCYyOesuevkaoIz6+YhAF/Nr3CpAo4KuYy1Rvyjc4ePxhepk1Jv5vhRZqy5/Fhtsn+UUwc1fyjz96jQjNOE6g14zzgUmdKns5lar/DT9K5TNWQ6Ir1VsaHbHItGPKzYh0/qfks6/PjTMhU6z7fYJ9eni/PF5TBPruvif6m5kq9FtvyWKMndJJikYIrYwA27JiJTYmvkjheLOw5K+b5ugwFqcxksltTIk5BxMf0GTH75tTXmHktpkMN44iduM/Ii1Ch5oHqcNhpoVEEfsUPqqtc6Y24vbXLjx5f4mfjDS63JwymMVXgM85jjlTOJAj50f4liirg+tYRN986oNpQ/NmDK+wc9TgYJkxLn2kZMp4GTLOQNA2ZlDFvbAx4VHYoJj6ZDvmlGw8ZjUN+NN7i+psDkl7Jnx5cIWlV1Llip+rxqV7niJBP8nU+D/r86+oL/mr0OT0/x09hUkXslH1G/tyy9Ab01Mxb85nz+LU7TBQy8+bMyglPPmGRMRuYjPKw6bZKlJE0CCyUmeHkzYu0Y2ZSsRQ0Kxrbo0P8lskiTXApQHn9i6qYzgqPxVzDF4xhPe9b3rxvRXMmIAFiGCYRO36fURyhfM0Dr8Oh30KvKQJd8YPJVa70R9x+a5cfPZzL1NqEwVFM5c9lKsqZrIf86MElijzgenzEzSsHVDcUf/b9K+zs9zgYJUw9n2kRMi7nMpWFTOqYN9YGPKo6FJlPFob80tsPGR2G/Cjd4vr1AUk4l6nLFfVEsXPQ49NinSMv5JNync91n3+9O5epIp8Zt1nEzkjct0n/lwaRSGJS1cxj86XRZryqDovPCElLXAbxDV0kg9wy0UN6vZKrfMJ5zusxcpayHKy8yHj4bKedmwfmyjxE7MOxv7bOMfuM55ES8QHbdCi5REZKwIdsczvYRZfwE2+LH6jLbHopN8IjPvfX+Im3yZWNMZMs5LPRGkFSM2yFfBH2+e7kKn6imQQBvV5JEqes6YyH4zb/4t4N9scJSimGfshO1eP3Pnyfjz5bRyuPLPMIg5pJFlMWkOYBrahkWgakOuBg2CYKSn5ycInepZxQVYStmvteh81WykeHm7zRHnE/6/DT0SZTHdJt5ahK8ynrDMqYfdXmO8E91lspnxdrtNola2SkVcAdtrld7M4Ebq6QfH/G+Wsx6/2JTvJnf7VRFEaApJUg+Vj5Uky2k6Q/5OzRWOyXc8FkI6QnJrdlOSO0trJyKTE7s/EkL8y1vymd/qLiJQXBhnXEnWqbVjDvWyqYxXn9XQjhA7XFD6aX2eym3Oge8Xm+xk+yTd6+ckTsV/zo0RaZF3Av7xJnJd89uIrfmsvUWkmSpKyVM5n6rx69xeE4ofbh6FHMTw/X+d0f+Xz6+Toajyz3CL2aST6XqSygFZdMi4BUBRyM20R+yU8eX6K3mRNSEXZq7kcdNnspH+1v8kY04v6ww08nm0zrkG6Uo0rNp9U6g3HMvm7znfge695cpqKStVZGWgbcKbe5He7Ovr8lByE7fispH/NblrEHP8Q24jyzzx4c7WxdSSFKGt7e/xri3Bfzlc9cwvXMXfF+WKS0fkyfFiUtShTQoUQDH7BFFXrci7tciqcQw5+Hl7nvdflZvsaHR5u81R/w2GtBpbl70GWPDpMw5Pr6EbvTLklYUUeaB4+7fLLfI/BAK1hfy5l6Pj/68TWiqCLXHkeHCWVpHq35zqAiLX1Krfjs4RplpehECu1pvvvZVZKg5O1LR3yk19lWKcFmxafjPncGl9krW6yHKYVOKLXPoS7Rcc3jIKHwff5g9DZvR0e0mKf/VyVo2An73PL2lieEVrPlavxittmyU3dlgoa0JORfaTHKOQtSEfiijEyEkGnDErIzSG/OVjzSirHL2bCVkIuelNdv8sIkpXRR8ZIoxJ2sTyueTy0poVWW4MEH1RaV53FPdbnUmUIb/ry4zP2qy72qy9EwRgF3qzWisOBxkXDvfpdhHfLutUN2D7sknYra1zx42OXT/S5xXJHnAWtrOaUq+OnHV6g1gOboqEGmCp+ytmRKa7776VUSv+Tty0d8NFxnO04J1is+3e9z59Fl9kYt1uOUok4oC5/DvERHNY/rhCL0+YPh27ztH9GK5jLlleDDTt6ffSvP9FfZH817MLQqoowJW8gsQ0nHS6pP1tvU56SCM8pK/qus7Yvcd58D576Yb5PRgfX7JG/MYEpEQM1nbDAlpEXBFhl/xDXeCMc8Ctu83TpCteBR2WEUzmjEISE/yrc5VCEHkzb7eUw/y3jnyhGP6JCFPo8mLT79dB08TVqGeL4G7aGm8HiUMJyE1COPuvapl7jNxaSBuvbJa0VeBMRRySQPCYKaSQ554fP5UZ9P9td44/KYd9864ns/ucrRMCavfA7ymH5YsOanlEox8hOyXkCrXzLaC/j++DLb9ZQ2BVfDEXoMP/YuMyoiulW++AIsQMyThYWBpXkzSu6rxD9YVk62dVFbf+1ApHmJUunYlqtsC9axJq/M3ra5Zbtsk7JzQQ4i9vyOrwhGdYSvaz7KNpgUIe26oJtk/FF2jTf8MY+CNm+HR6gQHlUdRkSs9VI+Hm6SFj7D0udg2OMgi+l2ci5tTHg07ZApn0dHLT69vw5Kk9cB6Tikrj3UBA6GCcNhSFX5lKX90G2Z8sgLRRwXC5kqIC99Ph/0+eRgjTe2x7z79hHf+3wuU4WQqTClRDEKErIkoNUrGU0Dvp/PZaqcy5SGH5eXGQUR3TrnejCgp/Pjxhssp0ab5a/sGIlRdEZG5Fwu6clJI1PWIWUrFNtyjbjVPLAXD8l2uGLvBuZ9ye5rz3hfLqv5kG02yFgn55CYf8o1Al2zGU05iBI+CjZBaYbdkEGQ8LhucTBJmBYBhIrJNCQONIXy2cvafPF5n1Y3J52ETIqAuvbI8gDPUyhVM9lrU1VPM6p5gKaqPbLSI9Yl5dCbLbmThnTaJeWuz6gIeXjUZTIKUF5F7EGqfYbTLpdbE+LOiKRfMFoPGQwS8jLg3eiIPPP58/Qyme+zrSaz+S/hnP7w55SiCYqZiS+2Aims3/IFyWxByePKhA0XxSe/tWGyFM22gVESMrXY9fieVZlIxdnkhZn22opQ3utXCArNnWybNS+j6+Uc5jF/OLxG4NdshlMOVMJH07lM+SGDKkGHmrvDNmXto5RiUoWEgab2FLvDhI/ub9Lq5KTTkEkeUNdQFAFa+yhVsffUMjVTaFXlk5WQqJLhOKLWMJhGtNsFJT6jUsiUqogDSGuf4UjIVFQwCkIGJOT+XKZCnz8vLpOVPtvxZDZPU89lKt6dxQPteY7SGpcT56RRZD4wKONZ5hypsOw0etvbQ9Qt14o05V1zkV4TnKsHZi/HAsvvxh7b5PuSdZh9CRCqmXfhaTjw2mhg3A6507pE1KoZ+DGfpOvc6B6x3ptAXbNz2CeOax4NE5RXcTRtU04Vjw46JK2CaRpRociygLpWwiJ8VrNGUZazc7N81vowrCmmPlkWEgxbDEcJZQF4mrwMCZKcUnkUHuReQKdX0NkoeeB16WwUPKTDD8tL9P2c/TABT/Gt8D6qnK1+QA07us+t1t6iGUZR2FaBjB35DeVcefiSNrQVjKlXenaIvy7Bl+falo5M6nB5WTKDy3eU9Wn+1Lq0gF0z6y8izAKjLxoFqGD2jxL2VRutYKxC7uhLREnNQMd8crTOjUtHrEcTorWa/N4VglCzP5rJ1GDaJh8nVNqj086YTiOqWpFlPnXtzWVK8TxDkpHLNJ09iDCs0VqTHoQMR3ohU74mz0OCaC5TQK4COp2CTq/kQd2lkxQ8POrww+IS/SpnP08Axbfa91E1M7pezSnFaC5TLurIhumPrgxDabS5qHmXDMh/rmSk2rHvNcK5KDCPmQPgesdN8U0ZK7MVnlnCRqO4pXZ5GHYZ1REDItpeSZxU+KGmjhSjaUCl4EAnbHlTLvfHeA9q/KBiUoQUtUIxS2aY5AEaRVZ4BAEUhULrphHvJGVmry1/HEWxuNssg+k0IAhK6lpRVQqlQlRSEoY125fGxL2SURBwt+yy67X5+at7FLsBj+o2H2RbvBUMeZB0uZqP6NYFiS450vHiYcpkDTNPpYnek/Em6Trb3L0UFDn4S6Xhs2yF2IpMeoSuuRKmnMx2PGtMy070kN/JOcv5Fx0vQblqT3GrvcvDssuIiIGKaPslcVDhK02tFaMqoAIOsoStaErsF6x3M0ZlwDgLKbXC82rK2ifPPTwVkeUeQaApCq9BpgzkUt1SQz+dTBUFpKmQqVKhsrlMxTXbW2PifsmoFXC37rLrt/n5y3sUg4BH1Vym4iEPvC5XvRFd5jJVxm46yTbAcGxLCvBpIRWTkcEm1gIuruH1nDg3BWbHm5sM75MMeTNR0LjZXZVTeD7vBwcA7FYtRl7IVqdge33Mru4wzCMKpfj4cJ2dos9bDNjYmPCnn7yBrzRFGVDUMMljqhKGZQBoynK2tM1xnMXstcucLnx1DXm+eD1pGtBt52xvjFGR5iCP+eHRFd5Ihry1NuCaN2ZSBEyqgKvJGF9rSu3xUbXJ++oxvqfpmoxE8yBNpqCcMCaFyk7KMJ6ZoUsi3AO9nDuDddxWWPZv2xt0ZRiatpp24fgt22/P1pYelsuytev7Miiyl5SF2I1yCu3zfnwAMeyWc5kKC7aTMbueJVPTPm+pAVGr5PNPL6F8yNOAovLI83AmU6PTZMrA9Y1n+5jEyXJ1TKayuUytj1G+5mAa88P0Cm+EQ97qDbjWGjNRAZM04Kqey1Ts8VGxyfutx/i1plvlyx8YbKIQXbEos2KJNA4lXSj3GZlzUfRyQVPZ1+X5Fz2N/hlx7t8Da/JdTF+waUYzjj75SFu4OHDdH3CHbWhDEpRUE4/PyzWu6DHUmrBdMRxH/OjgMnFUoXPNo0mLEg/f06Ag14pJGlJVoJ+0UlmJGfB8fE3Tuc0CqPEYjWJacYUXaN7sjfiFtx7R83Pu3++w3soYhjGqq9nyp0zTAN2CWJd8mq9xLRpxMzmYPSsT+3IJg+zwJ32tz35pNu0oX6ytCGxrpSm91KZFXO2V5WXdcltSMC7YyRoSTde8aHhJHwS73h5wZ7INChK/pFJzmfLnMtWqGE7mMhXOZSpvUXoeGtA+FFoxyYIzyJTBaYxGE57OQ9N6LlNRhcdcpq4+opfn3D/ssB5kDPMYpTRb8ZRpGaCBWJV8mq5xLR5xs3XgTgxyJSjZxySM/EhZcMVgXY9GpsybGLMtB69p7PZCrUYP7rlezrIyRjE/2Atzbvu77ER97tFhGgbc7u/ihTDwYz4+WufzcZ+S2Yob0zLk0aCHF5T0kpRpEVOfGjx+VuE6C+RCWceRV7Nsq93Hbf7wKGE9mfJL648I/Jo/279Clge8Gx/ybueQoKwJpzXjKqTy1CzYnOTHOXP5LS+5mKhv/ZVe11kSGszkSlgoP7n6vNlvwx4MZNJHxXHPzhUXkBSorRxtJSrPc92PPQ/touIlpdH3yLkd77KT9bk37TD1Am63d/ECGAQxHw/X+Xzap1QeG+0p02IuU35Jr5syzWLqeqG0TseLCuSdTZnllUdeKnaHbf5wnLDem/JLa48Iipo/G14hmwS82z/k3e4hgaoJi5qxCqm04vbmfE6YK+nH9njM+/GtMjJLTTqcMjPRlcRhrme2JYti5NX26l5DPJcCU0r994H/FfDzwHe01t8903kss1QuSAPmSfd38YzWnIpeO+dWbw+qS/yl5At2dJ+kVXKjN+AHdy8zrSLe3BgwKBImZUigaqZZyGgS01/LabcLlK8ZDptGg5fdE5qVWFX5PNrrkoQlb2wP+OJxj8FRi3f6h1zqTlAFfLy3zn7U4he7j7jaHeFPNGFRzVLo5SoYZql6Oe/LztCzPyppe1VNsSe7Ho9lpdJ0vq2MzLstrL+u+IKtxOQ+aeicRkM2KddXNAA8q0zh8dJW4uiRc4s9eHyJv6S+YEf1SaKSG60BP3hwmWktZKoKCfyatAyYHoX0egVJqwClGI2ahpuXvIjjCXgiU1HJG5cGfDHoMThs8U7nkEutCaqEjwdzmVqfy1SuCVVFL8iXDR/Zf22K3BxzGWeGLpSJHK7kKimr8hryrznvIhtbLxDP64H9EPhbwP/paU4y46cxFuxFGRohByQzUJo0xITZd7V6QBtG+xFbwZSkW/KALo+KNgdpggayyscLNPnUp0QzmIb4np5lRAHjcRNh/KoErVmJ1ShK7UHt8/n+Om/0h0R06W7OMrvwFL0oIwhrfjjY5k1/yHfW7sGIhXcll5+ZVbqA7XEZ685Ot5cZfNL6k7ATQaRyC5l5fy6lZXcCk2Bi4FJ8dozfnvBsKzFXW2VCiqn3NPrxxeOZZAqf5Q89vgSMjiK21qckQcmDvMsj1eagTNAeZPh4kSZPfbTSjLIQUHghgGIyaRpqXoVlcDKzUaMoaw88n88frvNGMiQqunQ3MqbFXKbCjMAXMrV5b9EvZZ+RMmEH8O05XCYEYuTNznR9GtrPRVfJ+WOrJI7j0Fr/GECps1ADy1De7Lnq+vizlQth6tr6tIcZ/MxfuZCosfRr6JKTegFdVXC1PWI3a9NppdRpny8O1ijR+L5mOE3QtUerkzGcziZSan1x33YclYRBxe5hm1ESUOawH3QpS59fvfIFv3TpIT95uMXPJuvkU484KGcDmxnc5Bwsl1cEC+XighRAl2cm4fLAmqg9u37/hDJNMF8flDE0c01Zl0sZnhTTk3jJiuyZZUrz0tvWVTlpFdCNZ58a2p226cQp9ajPF4/XKLXG9zTTPKYsfLq9jPEkmMtU0/2cP7f1RKYetxnFAeUU9v0uZeXzq70v+KX+Q36yv8XPpuvkuUcclcvjjR2vguV+HFn74Lg8wPJq9KaMS0ZtdkPul/tsZuU1xCuLgSmlfgv4LYAbcr9nKSn7PPvh28rLtv7T2b/r/oA/Kq8xmMZ8sL/Fh/k6QxXTaRfsTRLGeQwaSu3R7WTUSqHULCvq5MyoVwG3teh5FX6gQXmkhSLNWxRFwM1Lj9mdtPmDnRv8ytW7PM4S1sgoao/vT65Qa49f2/yMa70RTz5Fa6w+OD6ny3gzlfjnou1kGr3khI23I6/hcrN9lhWlrVikInLBVsQmC8vOXJTCLeePmXNtasZuywW1Z5ZkKmHxbl8SrlcD/mh4jUEa88Foiw+zdYY6phMX7E0TxsVMppSCdqtA69Nk6qR5DK8GSzKVKdKsRREH3Fx7zO64zR+MbvAr3OVxkbBWZxSFx/fTK9RfePzapc+4Fo4WMuKaV1izLM5N7IE9X+sk7+tpDBXf+vua4VQFppT6p8BVx6G/o7X+3bNeSGv928BvA3xLKV0Jz6tJeR2jDOXaYXLwlAFs8+JnmbroAnbGPXZ1l3a/YDsc8yjqMkoVeeXRimcj7HAYoTUkSVPPOT+e3qCufSYTn8VacJqQikTVlLXi7qDLfzG6ya9eu8s4i6g8D6VqDuuI37n7Tb61cY8rejJbAsfLjw/mMFMAro+EGbgEQa6gYeDyYMz7cnl9NiTt0eQ9yWtLxWm32Zx7koKyacKmGN8LUGYvRabWlH7pNOd8oNU57Ax77BZzmWqPeTTtMspmMtXtZHh+zWCSoLVqkKlXObKeQB86ZMpXFUlUU6K4O+7yX3x+k1+9cpdxEVFVHqqqOcwifueTb/Kt3j2uxJPZ1x9qx3WMYWXHwOR++Xjs3zIT1xWzPQ02xfma4VQFprX+6y/jwh4LxaXnL2ZJkdnxEgMZyJcehBTeBHYmfS55U663h/yr9Bpb/pSDIubeaI21JCUtfA7GEbX2KAoI/BqNOiH+9apwUvqvZpYCM7NmFTWXehNK5dGlZlBGBLHGixVKaQK/ptdK+Wy8Qd9PmeiIIsi4k21zW80zqOyVNOylo2Scqklw5Le8ThuXbCG0Bbgp2O0qI2FiCHYMy5S1V9NwXcPlAb4EpfBSZErz0lOld6Z9Lqkp1ztD/tXhNba8uUxN1lhrz2VqGlEUAcor8f1Zfx2PXcbfq3IJTnuByzLlUbPWysm0TzfIGdQRQa3xwrlMqZqeSvks3aAfpkyCiCKcy1S0Sy+ey69kIQxMLFnGpeTHDW3jTtKMkk2Q8Vz7nxm+5Fd/X1PvC84xjb4GvDl1eExxycVfDVwUj3k5NYtvTs1TwUc6Ys3LIJjNCds/avHDg21yPDpJgfKgkxTkZUBV+vi+pkKfsAbbq6A6ThO2ZRomQJMVIW9sjClrRZyUBF7F3UGHNzsjtpKU/XFC7nlcCqdMVUirN/u8+s60P8sssy9pUn1Tse1KtrApD1vJ2eVd787sN4LelFxhQwqzaYv861nlXI9Vrp5gzmnKivwyZHRpmuOWLwij8VymPFgn42fZGj8cbTMlJElmX0DohAV5FZCnIVFYU6u6IYFDZhFdHPieplYKP9CUniIOS4Ko4m7e4c3uiC0/ZX+QkPselzpTpv5cpkLYKeYr1UOzrNhTVJqobTib8nHFw+T1XazHa4TnTaP/7wD/B2Ab+D2l1J9prf+bZz2/nv/nMZ+YbDs/cmBzvcz5B/VAlMln53TrnLQOqLRCV4oyV4yyAKXgqIrRajaRMfQqvAA67YIH+yelcb2sHvA0KW6awNOgFVrXaAV744T1SYTnayJf84vX75NnAVFSEQclh/sJkarotTPaavbp5kSVHFXx7O3bgWO745tvfbmSHGBh6dnLSkmFYAtnxfGFTV0CfFabQVq7Ncf7janL3F+T5yUXMjbtfsV4ZpkyRtxLRLfOSScBLUouMeYwa3GYx/h+zSQNyWoPpZjJlAedVsGDg5ecGnkiTp/MDDP2hVqhqdHA4TQhDCvqUBPFc5mqA6LWXKYOE6KootfPaAcFJLNJ3kfTeDGVwY7bS2PIjGXGA7MXzzb92Cw2AO5ko4rjsWdYDgMYh+A1pRGfNwvx7wN//6nPY/nZK28Wq6rnD/0JvSgtFellmVRwWH5Rwqi73h5wZ7DNx6N1Hk9ipnlA2yvRSpPVIWWtaMUVtdZ4CvpRzv26zWIUfhWJHGcTsAUUMFu3sa49PDWzFsdZyKXOlBudAQejFldaE+4fdak9hV/WvNM7xK/hamsEPqQ6oBvly9y8jDe6vKeKhbDZXL6B7RWb+mB5vUWTJGJTfjbl4vKg5CBwkofkqgtRVv61KRyXRfuK8KwyheZ47PIF47oacCfdhhruTnoUhaKtCirtz77mrTW+qgl8jeedRaZeNKvxtPIEoEAvZMr3NGWtyDNF3K+40ZvLVHvC/YMudajwdc073UP8Cq62R1DPPljbNXFlOJvnLpOODGR/l/1QxstkrFd6d6a+wqrnNVVecAE+p1IDVX38fXu16O6u+IWsQFoY85fcm+TcKI/4J8N3eJT32CAli4fczfusBymHZYxHhUKR5h739tokYYXSirquKY8JlhGOF0V7PK2wzbj6svYpa49eUrDenVAXikkWs7l2yK1Le8RBxf6wTUTFe90Dut2MQd7izfaAjiqYTgOmdcDN7gFMWR7ApRdsaESpdGxFIoXPKC1zW00p6OaxpixSkZvmkcnlrlzHJWT/sClFlzLGOiYD5hKy752DR/ZUeMkDVc/LuR3t8oHe4k/Sa3SDnLfbR+zka4SehjoABb7SM5l6PJcpFDU1ZeVysc0Df165ehblZclUu2CzP2Y8DinrkM0k49bmHnFUsT9tE9UV720c0N3KGKQt3uwM6EQF0ypg6s1lytyiLUsGUgaMId7UdNsIk7DnjJnfTbT5a6rEzkWB1cDE2idjmwZ6Pqgoe3CyaR9TqcFgtn1YJtxUh/y4vMR6mPNGd4QeK/aLhG5QUOOxFY8ZEzIuQ45Sn1BVxJ2Kw3GLerYuPcuWo93bIrH/tEyHZ4c3pzc0HoFX0U2mrLcKLm+MKUtF6FWMRgn99pDNeMp7lw/5enufW509hsOInWGfo3FMt8q52Tmgp/Ll9HmbqphddPkLynaGX9M6ga7YpdwnFZ9c6sYWPukN2mn40ko12y6BdyWNyN+2lWsUM9b+iz4AvIIYGDn08nwW69IZHVVxvT1EBx67eYsajxq42h4zLucyNfUJ/Yo4msuUdsnUvPJGnJRu3/RNnNOh5hJeM5OfTpSTBBU33jjCKxVhXTEaJvR7Qzb1lPe25jKV7DFMI3ZGfY4GMd0g52Z8QG+YL5opJzJLlshWYAnHWSRXf5ZsidyXiP3zKUSz78OwYKxcseXXBOf6PTAJqbzkuOLDLE5Wz+NkdieQSQDWSxqVEZGu2PJSBlWMzgp6KmOvatEOc9baOV/beswXkz6jOiD2uxymEb7StOOMURaj0Ph+Ta2Zr+l2kuA9TTzrhGfhQV1LIdd02wWdpGA0CXlzY0jgadbilO32hGEaklUBgVfyxbjH5WTCje4Ro2kECfTinFve3oyfNwkZKQvda+bUVcDYbgzL8Syb8nCly9ur0Uu4EiXsz1GYd2tP6nTNJbPb6irblH58zO3nZIpmBfDh43SD2/EuH+jL1KWm56XsqRYA13sDbr2xzxfjPqM8IA7nMuVr2knGaHoWmbJhZMxwz7ayO/0FhWG99HkV0LRbJd0kZ5ItZGq9m/Jmd8JwOJcpSr446nG5NeFGZy5TIfT8nFvdPWjNq5P9RPZpW3G4PPzngUueXNd4TfvwuSgwuWiADHOB21B+kuSBKOxZBe2EgGoWdM7LgF8JvuD/V77FZ9kaUVhzLRmhA7jamuApiKKaLgUEY8JByVERkWhFHExnQqYUZamYFgF17RP4FVGs5/NHFim4z4MkKQjDkuEwoa5rPKVQqkLXPoE/y/BK/IqwXVPkPtPSp0VJHcN6lJKXAWkZkhUB337nHkGuaRX5ckBXyr18ntLSM4onm/91cfpNlIgttDb1JuswdKMv/tlGtjS8mwRQKj27fXY7XJATtuU9yPPBfe8XCYqXspjvEsy9K3jfOyStIn5UbOEFsBbNkoSur41mMhXUdMMC/DFhUHKURiShIvanM7ZWK8paMc3mMhVURJFmOvXnk56bZOrsTEYYlsRxzWgUUhQ1ngKlanTtE4UlntKEnmKjnVGUPtPKpxWW1C1Y76TkVUBah2QEfPvtewSBpuXly59AMahwf/AVlifXuzKuZdasPCa9MZsylAOmOS7zBcwx+5qvGc4tBiaVk4t4M89dyRcsV9+QFYCT5rmuBny/vkLg13wt3Kfv52StgE6Y8rNsHR14BFHFX3rzc3aG6xyOIz6ZrrHdHlNpnzCcfeSyVD6p8tkbtfC82Xe2ut2cySRmOAwoS58g0KSpv7TiwGwVguP3HwT17NMS2gM0YViRhCXtpKTICsrSw/droqCmFaeUuU9W+NQ5JFFJVXhsR0P6Xs7Dww5v9QbcXD/gcjTh+qUB/SpnmgbcDA8WHpWtdOQKGTLGVc+fsZwPJi04kykl56HYcCVPyG37XdlBbFNOCn3EgiI7LfbfFMeyz7ONIPMM7MQSFzVw0fAKkjiMMfSef8CP9SU2mPLNzi55x+dQJRxVMX6oZzJ143N2DtY5nER8Uq+x3RtTKZ8wqJjkISU+ae2zdzSXqdrIVMJw6FOWIWFYkWU+VXW6gej7UNe1kKmSKKxpRRW0KqZZNDM8w5pWlFKVPmnhUxSw1i6pSo/t1pB+lPNw0OGttQE3Lx1wuZpwvTOgH+RM82D2+RQjJ9IYk/Jjx0KksnN5ZC5DSZa1qXt53FzX57gsu2K9rxnOzQOD5WRCG76dhSi/UeUaIG1XrpgFnX+t/xl/MHmboyrhneiQtV6GF8Ffju/y3elVPs3X6RY53+re5fNyjbBT8rX+Ae+sHfF7d98nSGrevDqibsH37l5lVAWMxxGXtyfc2+2Spz16nZyNzYyHDzoMxxFVpfD9Gn/elro2nzufTS6Ow4ra80hziMKCa1cmBPPsLVXCNPe5sTWgFVSM05CJChgQQqXp65wgKEEpxmnMZjDmdrTHX9na4fOjNS5VU8K04mZyMItXyA4ulYIUQMmTy332509s4TzrnC2Xd2QLqq0MXXE1OWHdVnqnCag9SERwzDNsykD8MsQPXoUCm8dYvhHsM9AxD8ouW8GUEM2ttX2u9kd89/Aqn47W6Y5zvtW7y+feGmFe8rVrB7zzxhG/9+fvE/Rq3nxzRJ3A9z66ymgSMM4jLm9NuLc3l6numI2NjEe7HQaD2QoYvl/h+8YorGcTppUmCitQGg9FnoHya7Y3pnTjkjz36PqaI0/z5qUh3bhkPA2ZpD6DOkJV0Fc5QVJCpRgPYzbDMbfbe/yVt3b4/GdrXCqmhIcVN9sH9I7y2XOwaTlbmdievOxf0vi2KXnZ1+wvpbu8OBnHljEws22Pi68ZzjUL0X4XSnpatouWiG1EOVgeYK04yTV/xG9e/ZDfH7/NsIjpk3M1HNFVBd1uzhccoCsFGfxG/yPWeil/MrhGPVRcZozyNINhRJ+Mb/T32U3b1F1489KItiqoc49OO6eoA96+dsSDvQ557pFXAb1uSl37tKKCvPCIg4rDYUKRzyzRficl9ivaqiL0SzwFG1sp9/Z6qBJalKRFQKIr3t085OOjdTxd837vgGv+mGkV4AEHk4SNccovbj6iF+YLes54WkbxyMCy+SdpNttqS6ztMcc/lmcnRdiesfxtezzzd7QUY7MFzaVQPOuYrPOsHlJTzo1dh03JXGQP7GUnccwHx16d8x3/HuMqZFjEbFQpV70R3bqg28n5IjlAo6CA33jzI9beSfmTg2vUY8XlcPb148F+RH894xtb++yGbWoP3twa0fYL6syj080pyoAbV494EHTIs5lMrfWm6NpnrZdxOIzx0OSFIs9DFBXdJEXXivU4I1IVvhew1Z4Q6Rq/gMCr8AuPloat7hG70w5eNZepYMyUAK+Cg4OEjUnKLyaPZivW5Myydics4sh2vFSym3KFDbvPmH5kvqIhP3Mkp6nYH511eXcyiSOft88kcZi6VgrsxcIDIpvLdVnoZvCION4JQmZxGvvl2HxvG3qdnF9vfcad8TatVkkSlkyzAF9r/ubmx/S6s1jRsIzYGfS5Wo4Y1hFfjx/zUHXw64ytckoa+IyykFa34uvr+5Qjj3zDR/ka5SnW+ilv9oZ8dG8dpRSBXzHJIvpxhhfX+ErzzsYRR9MEXcPXr+zzycMNFDWJV5EXPtc7Q/7K+z/jh7tXmWQ+PaZ02wW/tPGI9+JDwrymX+YkWcmNeMhE+bS8klvR3vKKGabDG8tNrtRuvFkpOFIQmyx5syqH7VE1DepGMTV9UO+073vJ37bFa2c1eo7zXDgLfSmvISeWXmS8Qg8MoJfk/Lr+jDvFNq1pSXJUMp0G+IHmb65/TK+fP2nXcBjxfvWYjx9vcCmfMC4iNrsZW8WUVM9lKqz4ur9P6XvkPR8ValSsWFtLeXN9yEd311EogqBiMo5oqYLtq2OGk4iNbgql5vGwxeX2lMNJTKBq8sKnq1Le7Iz5a2/+jB/vX+IwTdBKEUYpf+HyQ8Z5ROjX9P2cpCq5kQyZ5D6toORWsgePWc4hEc/g2Pe6mjwp6ZnB8TFPGpHy4602ze+q29Rj5NkoLzMn7DWH0q4gzUvGt5TSf2w3xE7OkIkBpwXM7HOk1+bzZLWOYRCxE/QZZRFdlXOdAb0oBx+G44g7k21auiQpS1IC9nSLD/QWmT9basrr1ISJptfJ8GNNOyrQMdx5sM2HR5sUtUelPZLWLGPwTz+9zO7jDtu9KZ04p6wUb6yPKevZd8e2OlPW21MGRzH5NGAzmvJu65DNKONaMGSYxhykCT0v49f7n/HP777F93av0a9z2mXOJIoYeBF/Yf0ev7H9yewm5Qr9hk6wU3nlHBWXMEhaw2y7JkgawXIlSzS9C4NcnCfdcRnwNteJrGMGrtiBS3nZ99gUozupbrGt7vEnWutvOa50bvhWqPR311/yRVJmFr6gyIZJxE7cZ9SK6CY511sDeq1FosMwiLhzuE2rW5K0SvbHLX7v3nu0OwXdVoGnasJY02tns+zfboEO4c7BNh/ublLgUTGXqbjgT392md3DDtv9KWu9KaqEy70pk0k4k6loSkLB43EbpTVXkjHvdg7ZjDOutYcMpzEHw4Seyvj17c/457tv8b2Da/T9uUzpiEEW8Rc27vEbb34CD1n0C0PLuT4YaSsZmVAjDUVYlg1ZzmdZ6ZiFGew4v+yzhlUxn0CS7TPG5pfgi8zqs2eTqXNLo29cuFcidBxzeVuyQ9hBd4Nknvoa7i1bONPZ4Z1xn1ZZ0vJmGX8tSi6FU9pVwTvBEVMvpK0KrnZGdKKCoyLm53t73Mm32d76nJ/rPOaf3X2bIK75ztv38JVmnQzves3usMOoiIiDgo04ox2WvN97TOKVjOqYd98+4OGDDvtpwmgU8/7WIe20YHfQJs18vtYZwQTeZUAUaz4+3GAv7LChp/zK2i5vJsPl52B7KpLKsJMUXDy+y3JzxbHshDDX9eV1ZRk7Nmauby/MbK4TWeWbAt92lvVpnlNT/Ew+N0kjXmQK8RUkceh6nh84l8lemM+8/zaLwTTliYGyUwi5quFSOeVd74ii8NhuTWkHs+/1dZK5TK3vcedgLlPRY/7ZztsEfs13rt7DDzTrdYb3Vs3uaC5TUcEGGe1uyfvrj0koGU1i3r10wMPDDvtZwugw5v3+Ie1qLlMjn6/FI1Dwbj4gCjQfjzfYyzpsxFN+JdrlTT2cKesxy+/eKAizbT0fwE2DS8/fNs5NH7QVo12fLOcyvGxD85yXRXsVOB8FJtMQwb14r205SM9BDoa2gqus/Sbxw9Bp5uXKuocwGkasFdmiLTEkcQklZIG/iDEMIfUDukFOb5JzO9llp+gTJDXf2r5PN8hRQ8XeqMU3o13WexmP2i3GZcTBKGEzSPnO5Xt0o4JpGZBPPKrHHt9IHpOEJXujFj95sMVP802ueSN+KXhIMNHcGW5zQx0xyGJ+NblL0i9JdcCUgOveYJkuNPfv6sgwE0xz/3KulRE0KaBGwFwDtxnY7eQPlyIz885cgiffh/S0XEqqaZC2A912Uopdtskita9p6hLTMy4kKl7698Dyem7U1+Bl89dZsYjjyAHaA7L5otpkM0OxDZSwNkr5RK+zXU5n5caQhnOZ8nNuF7vsTPoEVc23kvt04xx1oNibtvhme5f1VsYjT8gUKd/ZuEc3LphmAXngUU08vqEek8Qle16Lnxxs8VM2uRaM+KXwIUGluTPa5kbriEER86vtuyRxSeoHTKuA6/Hg+PNtitMauOYpyhiubYT7jn12fS5Dzzxfe36jHT45KbTymuB8FJi9GCI0p8Pbg4g5z05ftC2XikU6uKS6TN2HouwhdMezxX9barZaOx3Yz1voXDHKZ3GsIvW4M9nmWnfId7r34Gi2ZNWt9mwF6q6fU9Q+LV3yg/wy3TInn/hcIuWb0R4f5puUpUdnOBO0aRXglzWtvKTFzPPbZsrDKmXDg9vh3hL9cFgm3N7cZSfrc1THdKOcm9EBvTJf8PJyUrDk6u1B2+V5+Synqstz7fOk0BijwlYuLgXUFFCWNKQZEG3F6RJmF5UjE1VcZcw+X5xzUmKKxAWlYipg8JKtbMNQSfuwk0GSgT9kOUloHpPpkpMS0EpKGMOoCHmctag9j0BXFHjcOZrLVOceAD3mMuXPZUrP4rw/4DLdYi5TXso3W3t8mG5S5h6dScF0FDDVAX5e06pLWuXMAN2u5jIVzmXKTC3RcDhOuB3uspP2OSrnMqUO6BX5gjKVD1nKg+w3dhZiE6Vt9y1bMdpGo0teZN3SsLJjYBdzwf8XivPzwE6ay+Xjtk4MxQTu+YzyZZlOYLJx7I4lkxtquB4OuMM2VJDUJWkV8Fm+xtfVPq2o5EHZZaJCun5Ov8joZflisu8+kMD1YMCdchsUtKqC4ThCo3i/95huXfBWNGA/b82Wn6lzbrYP+HF2icQrZ8+kAkqoCm85s8mHRJcclfGMBvXmn2yQqwCY5+iiF1wZhjZsT8oOUMtyck6VfEeueJhsT8GyF2au1zR5WNbvet+n3U9TYod9Dy64lNgFt2JftnMok3ylOOVANPfKzKNVc7rxuhpwR2+DN1ux/bPJGu2q5FZrh2ERMyGk6+X0y2z2QUhjQM3HgevegDvjbSihVRQM0whdK97vPqZbFLylBuxXLY5GMV0v52b3gB8PL5HoctawuT1a5d5CBrLZ3yQqOSKeKUx/HlpQLFgIyWKYm7XjwxIy6cJWYoatkDJiZxjajImsz2yb8VEaeOahZyzRt0vHLqjh9bw4v6Wk5AO1LXcTuJSDiGv+kc0pI/YL5fTEKjH1SuUwf8G9Vs5ttctO2efIi+nGOVfzIZeCKSqC99VsoU7tw1EdH6fN0pnleDuYeUhtVTBIY260j+iUBdM8wM81v558NkvLDWbX7eqcNA1mMQJTnZ6t0UbATKAySIuALtZXlCXVZ56VN79v2yiQWUq2t2ECyTKxwre2JWzqwmeWKFM4ytvKQ7bNHJeKzLwfO/PP9sJddduw+5Usbyt6VzlX3RdYib3sMco4tTZzH8GTeZu+6Ieqni8A7O2yE/c5CmOyyOcWu/RaBVfiyUKmvHg5RDCX1V64oOnb3lymOkd04oJpHeCHml/f+Iyezp8YcF0/Jy1mn32BWX0+9bEvv6c6oOsLy+hZHuBJfVB6VHJfUx+SY57LczsLLirF/ZJwfgrMjnHYWYjG2zrpW1SyLvnSTZ+cOK5jxzFE7KVX5LPU2Y45eGkmCEU5u6aGVM0VibSGhALp5TNr7layx7AbzaiJSUxX5dz0DmaCJr6hdZ0Bd/Lt2VJRasbBrwUZaJjWAYkuSeuAqQq4mRy4A7twPGArMw+l8ncpGVNG0iDyWbnek6lLvguTZm8bGPK9GCUUWcfMwNW0QLCBVHj2e29Kd5cel6tdtrEk7/+kelc4E3oq51awBwl0y5zCWpU+1fNPkTSdH+Tcau1xK9pjWMwXpi7mi+j2D459Wfx6vPjsi5GftTAD35Kper6yxgpfWpyfApMDgkzikGngJykve1A1A61086X3VnPcGoJlN9+iCq4z4E61DUCSzDt9FnCzfbBIfjCUh/ktvLyeN6cmWuJ6FiXR83Nut0RcS+Wz+Fo9y4w8ymO65NwMDuiRL99TE4VhQ+5PmMUAbOrOhp3MYR9r4ubl/DLpqcnn7MrWMpM2sY7Z3p70voyXKOGiUWWbZTnTL1yUom30yGuv8My47g24U8wNNqNICLgZnU2R9MKcW2t7ix2OlPZekHO7vcvOoM9RNZepzr3ZV5MHCzm7mRzQ8/PVe/0S42KsRm8GPrnO4WnBfjmQuQbbk7w2qewkzHXnVFuPfBbgVfMAb5BzM5wrErseo7zsAK9txcsBfF72SdDa7Jsnn9yK9hZ12gpbxvvs+5EehjlfKg3Ju9se72nCfNJx885sb8VWQrWjjNkv70Eq3iYF40q2sGOn8pqnUYAn3d9plOUKp6LnzWl2+hxpS5G8yOsEc5mSX0P24VZrb5FE9prGhb5KOL8sRIOQZarQ/gicTe3Y9JT0gCqrnB1PqVmsVmHQEecgyhlK0Mu5xd6ifVq0QcTQntQhY1FykmImykgKztBwUiEZ6tNWhjbMfdnZnPIzKSZmlou/MkPPwFyvaYKzDZehYCeTuGBnYNlZkx4ne4a2Mpf1nkY7mjbanpjLU2zCatB7bvS8+dwxM7l99UxXeEacbxYiLNYDk/EveyCRHoYc/O1gvj1/SWbv2HXBbF6K3Gc8OemJ2DEfOD7DXWYRmXuSi8XaMRsbRrGeFGuxExrMPvnM7PuXcHmH9uDhattJk2NNPMtF17neoX0dFwUpPSX5PFzPpbL+GtipzS5jyFXePu7y9ldYYYULg/NTYDBTXJIytIPtrthDbh1rKie35X65wKU5JpWh8V7kYGWUj1QY0oq3B1npocky8t5cg7v0upoGXd9RRlJvNccVnP18PKucrNcoQnnM9tbsZ38aXWu8QrnAqE0P2uVNm07yBE/zmGxPSz5f1z3Jd2uekW38rJTYCitcGDyXAlNK/V3gv8VsaPoY+B9prQ/PdLJUXuAebF3JA4jjTWiyzGXdhl6zlYadoYY4Zv8+KfYkF8+V15fzo0xZK3nkycDd1BZTl4lxuSAHW9uzteN/9vMyqfhNnpIN2wuz41IuT83co+teXRSi/SxEXGNpv4TttdrvW9YraWb7G3QnUaIvGM8lUyus8BXD885q+SfAN7XWvwj8FPgPz3SWwj0gmflaOcuDjB30d63BV7E8OLnOl/Shy9vBKicHPLtsUzq6OSY9O3vQNIOh8UjMP9m2swyYhno0z8N4DuZ6JkYnPQk7Qcb13Ew7Uo63vakdLhiaVcY3zfVdPc/n+HJTdtbpSUbGSZCTmOS5sm/Jem3ld1p6/4vDs8nUCit8BfFcHpjW+h+LzT8E/ntPVYGxom2F9DTxDrnvpPPMMZmVJMtIBWJnvIHb0rfLyHV2TD32StSu5Anp7RjPEBbxOFfauitG6IohnhQnsmN0Bk0K3XMcd3lETYkRNcvPx9QtPS7jrdnUsmw3HFcwEjZVKsu5KE87PmlnOLqu8ZLw3DK1wgpfIbzIGNjfBv4fTQeVUr8F/BbADTvmAc1WvO0ZNM0/cgXc5f6myc/2tV1xjqbMOUmx2R8TbIrf2HOgXIkm8nw7a85WHq6B9SQlK+HyguQ8NflMXR+AdGWQyRiWjLXZz8IoKUmbmgxJWd4+16U8pVcmyzQZIU3xNwmXEnv1OLNMXX9VLVphhQuEUxWYUuqfAlcdh/6O1vp352X+DrNVx36nqR6t9W8Dvw3wrUBp54Ams8Zsz8FOF5cKzQ6226su2N5AU9zkLHE1137bg5EeXGXtk+dJZWYrsoLjX0Q2A3XTZxYkXDE0Wxm6FKyMBRlIRSM9Lds4aIpnumKGLhqxdhy3PTyDJm9UtseV1WkMEFmfXZedjHPWWOAZ8TJk6peVevUf9lthhXPGqQpMa/3XTzqulPr3gN8E/pp+nq9jSiXgirvI+UJyULJjUa6EBQNXsoKLIjODmxwAXV+Fdikv27My9drZjyfF0AzGLE8zcHkyTUkiru0mSCq3KVEmchx3ebD2nLQm78m0zbO2jYJxrdbRZESYrMbT7lVmQ7qOyb+mTfa+F4BXJlMrrPCa43mzEP8G8D8Ffk1rPTmt/ImwEyXsQclFE0q4KEI7xmJ7YLbXZlNRTTG1Jkvc5QWdhtMSNsyxhOPf7pJxM/uatkdot/MkY8G+R9sTOem+XEaAjAM2KSE7weKkZ+mat3WSknkaBWSn0z9PXc+AFypTK6zwmuN5Y2D/KbN1yP+JUgrgD7XW//5T1WAGcDOAmQHOXk8Pccz2LOzAvvSsbNh01kkDkqTLTsvGa1JqtnfWNPjLeXBwXBG54k3mPPv6rriaK/lBKgJ7MWC7zbZClPE5O1EDjj8z87ybMvnsJBb7XqU355qb1eSFyfOMx+fyJqVHeFbP9eXg+WVqhRW+InjeLMT3n/lkM7i5rPumFddPgovuOSmL0Kb4zLGmZAC7bBNOU4gn7ZODp53oYit6myq1vZGm7EN7vcOm35LSs73gk7zUphR5F1UrIRWRb23DceXflPxz2juy41lPq8ReclLHc8nUCit8xXB+ayHan/owA7StiJqyCs0+F/3mihPZg7Nd3kVBPgtcyRN2Vp8ZIF0rdbjaa47b++xy8lnZ5W1F2XSubJ9cId4Vn5Jtk22yt40SlErHziiVz8w1OVsqFlmvqw0nxa7sd+E692mNkBVWWOFccL6r0cuEBlc8CpaVm32eazCRcS8XJWfOlwO8vJY9MPrWeTaaysrjsk6XcpHwrHLmt0uhw/H7cpWx4VIwLmrzJMrThqQLpRcmlZZRfk2JIrI9UvHZ9+FSXk1ZrE2wM1VNPRLnSyWusMIKp+D8FJitvGQMxFYwcmCSOCnJ4qRBssmbMe1xpYCfhJPa5UrdbxpcXd6bnYXnyspzDdhN93dSBuZpSSsmU1FmVcr6TV0nZRA2KUU7qcRMZLb7hlnVXyo4V6bjWZSY65kgfp9Vea+wwgrngvP9oGXT8kZyYLVprpOSJXyWV7Josp5PGths2s/gaS3xphiU7e245kJxShk7m69JWdmQ59kKyOWR2vXLmJRr+oDtNTXVI8+x78P1ORdjVEjj5iywsy0N7Djnad6wxEqprbDChcH5KbCTViOHZi/pNBrPhiut3OUZuOJrrtT6s173pONSOdpxMVdZSSvaSQiu653kNbqyA831XcrbVgKumJbr2i6vBo7TfU2Q9y2nD7juxcD1DF0ebJP3eBasKMUVVrgwOB9x1NaVpZIxAX7XgOKy7JtiQi6laEMO1Pb3xc76ZFxJCCddz5Ui7oJREIZyM+c1tcumTOU/VxmXp2ef68JZYn5ypX2XUj6pHXZ77fdt+ob513QfNuz45mn3ucIKK1x4nC+FaNA090miaSA77RpNcaImOlImIDyNx3dSzE3uk16MfT/yt528cJJCNfd5UnKL3RajIJtovbMM7LYXJuuXKf+uBBpzLTge75TH7NiZy/Mz202flpGwPcsmBb/ytFZY4cLj/MVUKq+TBk7XvCiDk9LOm2IxVlKFbkraOMmytxWM7RXIOk5KXDjr/tPgWijY9ljsdvmO365n1tQ217OXdZpP4zRRw5KqNeWMNywnG9uZnK5rVeI8g6Z5gWbb1TckE3Ba+RVWWOHccP5p9Cd5XQbyw5CuWFWTN2VRjboGJT2b+TW1S7k87WDVRGU1zTcS7Tox6cLljcnjZ22H9PzMcfuZV7jbY58rY0muOWWwUEwmbd41z84kZrjuwbQ/Z3lRYxm/Ml6Z7a2Z80wZlzdnt9WO69n3IyndFVZY4ULgfNPoT6MB7YQFo7xcA9FJCQyugdqCalISp7XthDqfCXKgNll3J92TPedKUonmuK3wXansrpjhSSnp5jr1KcddVJ3tIbrmYcn4nystX8KlwOx7kXVKRWS33UU1r7DCChcSFyMLUeKkwdo130d6Vi5YXpZddmn7eQhVOdDZtOjTKEapPFyJBw4P8okSO0tM0FYYtrKT9dptsd+D9EqaBn55zHhP8rry+q4UelmXqU96isbLk8dsNLXRnN/kdbq2VwpthRUuDM4vC9GFpoHejkdYyusJjMcyP2YPNi4G74nn9azUkB1zMRdyxW6eJuYlB+imZA/7XNc9NGUBSk/PTl5web4unIX+lW1zxbng+Ls6KdPSdS3ZzrO+Rzte6aJAV3ThCitcaJyPAlPWdtNgccLAqIuF8lqi/+yPLjIr5wrDNF73rKnurjY+j4XeRLPZ+1zJGNC8JJIrgcOux3Wdk64pjzclPlTWP7t8YZ1je5iybbZ350oGke1sSs4w9dn74PhnX1YxrxVWuNA4/yzEs2S7Wa3Ugn5cog4dg6dRcp5d/rSB6SyKyPVhxGeFywM4qQ0nKRQZF2s6V8auXPdhZ/3ZGZfQrCzOMifLnG+yFF0p7PY9Ps3zblLO9j773qRCPctUjRVWWOHccH6r0Tdd2RWjsI4fi3c1eAnO7EI4nvl22oDrgmtgk5a93aazDIQn0Wi2krC/8GzDTtQ47R7PEk/zHeVcqfuyjEsxN7XRnG/H+WwFY64t3WqZoIF1TCayuLIhpRI7KYv0/M29FVZYQeBiUIgGTUrhGRSMS3mdOdPwLE/lNEruaY7ZOK2NLorQtc/liTXFE+26pQKRStguL6c4SIXqohTNfrt+k2loe2N2XXD8Q5Suus25LuUjjQx77qFsv8s4eMa+uMIKK7wcXBybsslSNwOMlTnoLDc/dqLyarpjl2XeBNf3sJ5morILTUrI5ZU9L60l41InJX64pimY/Tal6FvHpCd21mQPo8iaElOaqECbRm7ytuxVVlyxNFluFf9aYYULjYuhwJq8GTPAhsvljlGIQnm5oMyE2bMqL1mvywo/DWcd+J43gUTiJOVwkuK2kyNOq7NJkXnW77PM82tqWwGkLNOJUhm6vDB5bVOu6V255ry5El1OiyWusMIK54rzF0/HALe0rFNTZp05XjV7XSCU14uATTlJPMvgb9f9tLBpOvnXjuk0ZeWdlGlnPCn5z5xrl4OFsjFGh4sCbFJorjloqVWvC7Lus04jsNttxwptD//8pWSFFVZw4HxF06L9zL8ndJ+Jr5wQ82hM1ABUyNMpr6a4h/nrSsV+GXgWivCk+WESrjdux7kMXBTiWZUYjr9naZs9by7DTRO6YmlNcCWz2FSi65yTFOMKK6xw7nguBaaU+l8rpX6glPozpdQ/VkpdO/PJJ9F+Rnk54l8SJ3ld6iTK0IWnGaSavLBnhazLVtqudPCm2NRZcdIkXXu/TbedRlUaIyDCTf+Zf1JJNdGBBuar3RJ2W54m8cWlxE4zSF6RqfdcMrXCCl8xPK9Y/l2t9S9qrX8J+AfA//JMZ81X4jATjCWeKB574D4hRV7WcWqyxtPCla1mU3SnKZGnzVg8rY6T4lmuOI48/6QMRNf5LsVgJiA33YN5/ie9h7POsZLtdvWJp1Fkdgr+06bIvxol9mwytcIKX0E8l0hqrQdis0PzIlHHz62PKx5lZ4mdcq49Bp1JebnqtRMADFwB/pdJHTbRl6fRey6c1s6nSTRpoh1PU0I+M0/spGu5zm/yEG2lZbIWm+o5qW2uezptXl3TeS8QzyNTK6zwVcNzT2RWSv3HwP8QOAJ+/aznSRbn2OoYZ1BeEk/qeFkB9ybl1ZQ6f1blcBYq8qxxGNfEXlh+Hickwiy16SzXO0tZ06aEReagPEe213WfTZOZXe2w0/qbFLgdT5P7ZbtOm2LwEvGsMrXCCl81KK1PNvCUUv8UuOo49He01r8ryv2HQKK1/o8a6vkt4Lfmm18HfvJMLX52XAL2XvE1zwure325eFtrvf2sJ69k6kuJ1b2+XDyTTJ2qwM5ckVI3gH+otf7mC6nwBUMp9V2t9bfOux2vAqt7fT2wkqmLg9W9Xkw8bxbiz4nNfwv44Pmas8IKX22sZGqFFc6O542B/SdKqa8ziwx8Bvz7z9+kFVb4SmMlUyuscEY8lwLTWv93X1RDXgF++7wb8AqxutcvKVYydWGxutcLiBcWA1thhRVWWGGFV4nVKm8rrLDCCit8KfGVUmBKqb+rlPpgvlTP31dKrZ93m14klFJ/Qyn1E6XUR0qp//l5t+dlQSl1XSn1+0qpHyml7iil/ifn3aavKlYy9XrgyypTXykKUSn13wD+v1rrUin1vwHQWv/PzrlZLwRKKR/4KfBvAl8Afwz821rrH51rw14ClFJvAG9orb+nlOoBfwL8t1/He73oWMnU64Evq0x9pTwwrfU/1lqX880/BN46z/a8YHwH+Ehr/YnWOgf+c2Zp2K8dtNb3tdbfm/8eAj8G3jzfVn01sZKp1wNfVpn6SikwC38b+Efn3YgXiDeBHbH9BV+CDvi8UEq9A/wy8K/OuSkrrGTqtcCXSaaeey3Ei4azLNOjlPo7QAn8zqts2wovFkqpLvD/BP4DaxHcFV4gVjL11cGXTaZeOwWmtf7rJx1XSv17wG8Cf02/XgHAu8B1sf3WfN9rCaVUyEzQfkdr/f867/a8zljJ1BOsZOqC4auWxPE3gP8t8Gta693zbs+LhFIqYBZw/mvMhOyPgX9Ha33nXBv2EqCUUsD/FXistf4Pzrk5X2msZOr1wJdVpr5qCuwjIAb257v+UGv92izVo5T6m8D/jtmHQP6e1vo/Pt8WvRwopf4y8C+AP2fxgZP/hdb6H55fq76aWMnU64Evq0x9pRTYCiussMIKrw++ylmIK6ywwgorfImxUmArrLDCCit8KbFSYCussMIKK3wpsVJgK6ywwgorfCmxUmArrLDCCit8KbFSYCussMIKK3wpsVJgK6ywwgorfCmxUmArrLDCCit8KfH/B3Z5mwRrvAEbAAAAAElFTkSuQmCC\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from pylab import rcParams\n", "rcParams['figure.figsize'] = 7, 11\n", "\n", "##########################\n", "iforest = IsolationForest(\n", " ndim=1, ntrees=100,\n", " missing_action=\"fail\"\n", ").fit(X)\n", "pyplot.subplot(3, 2, 1)\n", "plot_space(\n", " iforest.predict(space),\n", " space_index,\n", " X\n", ")\n", "pyplot.title(\"Isolation Forest\", fontsize=15)\n", "##########################\n", "ext_iforest = IsolationForest(\n", " ndim=2, ntrees=100,\n", " missing_action=\"fail\"\n", ").fit(X)\n", "pyplot.subplot(3, 2, 2)\n", "plot_space(\n", " ext_iforest.predict(space),\n", " space_index,\n", " X\n", ")\n", "pyplot.title(\"Extended Isolation Forest\", fontsize=15)\n", "##########################\n", "sciforest = IsolationForest(\n", " ndim=2, ntrees=100,\n", " missing_action=\"fail\",\n", " coefs=\"normal\",\n", " prob_pick_avg_gain=1\n", ").fit(X)\n", "pyplot.subplot(3, 2, 3)\n", "plot_space(\n", " sciforest.predict(space),\n", " space_index,\n", " X\n", ")\n", "pyplot.title(\"SCiForest\", fontsize=15)\n", "##########################\n", "fcf = IsolationForest(\n", " ndim=2, ntrees=100,\n", " missing_action=\"fail\",\n", " prob_pick_pooled_gain=1\n", ").fit(X)\n", "pyplot.subplot(3, 2, 4)\n", "plot_space(\n", " fcf.predict(space),\n", " space_index,\n", " X\n", ")\n", "pyplot.title(\"Fair-Cut Forest\", fontsize=15)\n", "##########################\n", "dens_iforest = IsolationForest(\n", " ndim=2, ntrees=100,\n", " missing_action=\"fail\",\n", " scoring_metric=\"density\"\n", ").fit(X)\n", "pyplot.subplot(3, 2, 5)\n", "plot_space(\n", " dens_iforest.predict(space),\n", " space_index,\n", " X\n", ")\n", "pyplot.title(\"Density Isolation Forest\", fontsize=15)\n", "##########################\n", "bdens_iforest = IsolationForest(\n", " ndim=1, ntrees=100,\n", " missing_action=\"fail\",\n", " scoring_metric=\"density\"\n", ").fit(X)\n", "pyplot.subplot(3, 2, 6)\n", "plot_space(\n", " bdens_iforest.predict(space),\n", " space_index,\n", " X\n", ")\n", "pyplot.title(\"Boxed Isolation Forest\", fontsize=15)\n", "##########################\n", "pyplot.show()" ] }, { "cell_type": "markdown", "id": "cee50d5a", "metadata": {}, "source": [ "** *\n", "# 3. An example with real data\n", "\n", "Although the plots above can be illustrative for understanding what isolation forest and its\n", "variants are doing, outlier detection in 1D and 2D data is an area in which many other\n", "more successful methods have been tried and proved before. Where isolation forests does\n", "shine though, is when the data has a larger number of dimensions, clustered outliers,\n", "or multi-modal distributions.\n", "\n", "One of the most common datasets for benchmarking outlier detection algorithms in more than\n", "2 dimensions is the \"Satellite\" dataset, which was originally designed for multi-class\n", "classification but is typically adapted for anomaly detection by merging the least common\n", "classes together and labelling them as \"anomalies\" or \"outliers\".\n", "\n", "From [ODDS](http://odds.cs.stonybrook.edu/satellite-dataset/):\n", "\n", "> The original Statlog (Landsat Satellite) dataset from UCI machine learning repository is a\n", "> multi-class classification dataset. Here, the training and test data are combined. The\n", "> smallest three classes, i.e. 2, 4, 5 are combined to form the outliers class, while all\n", "> the other classes are combined to form an inlier class. \n", "\n", "This makes it one of the hardest datasets for outlier detection, but the challenges it\n", "introduces (clustered outliers, multi-modal distributions) are not an obstacle for\n", "isolation forests.\n", "\n", "The dataset with said conversion applied to it can be downloaded from ODDS at the link above. It comes in matlab format, which can be loaded through SciPy:" ] }, { "cell_type": "code", "execution_count": 5, "id": "5c9f2497", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Dataset dimensions: (6435, 36)\n", "Percent anomalies: 31.64%\n" ] } ], "source": [ "from scipy.io import loadmat\n", "\n", "sat = loadmat(\"satellite.mat\")\n", "X = sat[\"X\"]\n", "y = sat[\"y\"]\n", "print(\"Dataset dimensions: (%d, %d)\" % X.shape)\n", "print(\"Percent anomalies: %.2f%%\" % (100*y.mean()))" ] }, { "cell_type": "markdown", "id": "35d34315", "metadata": {}, "source": [ "Now the next chunk will fit different variants of isolation forests and assess how well they\n", "do at discriminating outliers by calculating the AUROC (area under the ROC curve) that they\n", "produce. Note that the models do not see any information about which observations are outliers\n", "and which are not.\n", "\n", "The original paper \"Isolation Forest\" suggested that models would converge with 100 trees, but\n", "here it is possible to get slightly better performance by simply increasing the number of\n", "trees and by bigger changes such as choosing a different scoring metric." ] }, { "cell_type": "code", "execution_count": 6, "id": "139aefe7", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
ModelAUROC
0Isolation Forest0.691022
1Density Isolation Forets0.826593
2Fair-Cut Forest0.896931
\n", "
" ], "text/plain": [ " Model AUROC\n", "0 Isolation Forest 0.691022\n", "1 Density Isolation Forets 0.826593\n", "2 Fair-Cut Forest 0.896931" ] }, "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.metrics import roc_auc_score\n", "\n", "model_orig = IsolationForest(\n", " ndim=1, sample_size=256,\n", " ntrees=100,\n", " missing_action=\"fail\"\n", ")\n", "pred_orig = model_orig.fit(X).predict(X)\n", "\n", "model_dens = IsolationForest(\n", " ndim=1, sample_size=256,\n", " ntrees=100,\n", " missing_action=\"fail\",\n", " scoring_metric=\"density\"\n", ")\n", "pred_dens = model_dens.fit(X).predict(X)\n", "\n", "model_fcf = IsolationForest(\n", " ndim=1, sample_size=32,\n", " prob_pick_pooled_gain=1,\n", " ntrees=100,\n", " missing_action=\"fail\"\n", ")\n", "pred_fcf = model_fcf.fit(X).predict(X)\n", "\n", "results_df = pd.DataFrame({\n", " \"Model\" : [\n", " \"Isolation Forest\",\n", " \"Density Isolation Forets\",\n", " \"Fair-Cut Forest\"\n", " ],\n", " \"AUROC\" : [\n", " roc_auc_score(y, pred_orig),\n", " roc_auc_score(y, pred_dens),\n", " roc_auc_score(y, pred_fcf),\n", " ]\n", "})\n", "results_df" ] }, { "cell_type": "markdown", "id": "06148c7d", "metadata": {}, "source": [ "For comparison purposes, what follows next (one-class SVM) is one of the most widely-used\n", "methods for outlier detection other than isolation forest - as will be seen,\n", "\"one-class support vector machines\" are not very suitable to this kind of data,\n", "and even if it were to be tuned, its performance would not match that of isolation forest variants:" ] }, { "cell_type": "code", "execution_count": 7, "id": "0041bc37", "metadata": {}, "outputs": [ { "data": { "text/html": [ "
\n", "\n", "\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
ModelAUROC
0One-Class SVM0.686582
\n", "
" ], "text/plain": [ " Model AUROC\n", "0 One-Class SVM 0.686582" ] }, "execution_count": 7, "metadata": {}, "output_type": "execute_result" } ], "source": [ "from sklearn.svm import OneClassSVM\n", "\n", "model_svm = OneClassSVM(kernel=\"sigmoid\", gamma=\"scale\")\n", "pred_svm = model_svm.fit(X).decision_function(X)\n", "results_svm = pd.DataFrame({\n", " \"Model\" : [\"One-Class SVM\"],\n", " \"AUROC\" : [roc_auc_score(y, -pred_svm)]\n", "})\n", "results_svm" ] }, { "cell_type": "markdown", "id": "0c8773b5", "metadata": {}, "source": [ "_(Note that scikit-learn's objects output scores in the opposite direction: for them, higher scores means more inlinerness, while for `isotree`, higher scores means more outlierness)_\n", "** *\n", "# 4. Other uses for isolation trees\n", "\n", "The scores obtained from isolation forest models can also be used as a proxy for density\n", "or as an additional feature in regression and classification tasks, which can be particularly\n", "helpful for domains like fraud detection, and can be used as a hint for determining whether\n", "there has been any covariate drift in a dataset (as part of other methods). When used for\n", "purposes other than anomaly detection, it is recommended to fit trees beyond balanced-tree\n", "height limit (see documentation for details).\n", "\n", "Apart from the outlier scores, the package `isotree` can also do the following:\n", "\n", "* Calculate distances between pairs of points based on how many splits it takes to separate\n", "them, resulting in a standardized and centered metric just like for the outlier scores.\n", "This distance can be used for example for clustering, as an SVM kernel, as extra features, etc.\n", "* Impute missing values by taking the points in each terminal node as near neighbors and\n", "generating an average from them or from those of the nearest parent node if necessary.\n", "* Produce a \"proximity matrix\" or \"isolation kernel\" that tells for every pair of points\n", "in what percentage of the trees did they end up sharing the same terminal node - for example,\n", "this can be used as a rough estimate of residual covariances in generalized least squares,\n", "and some authors report success using it as an SVM kernel (it's recommended to use the\n", "distance metric instead as it's better quality though).\n", "* Output the raw terminal node numbers or per-tree depths in order to use them for something\n", "else - for example, can be used as a cheap clustering with overlapping assigments across trees.\n", "\n", "# 5. References\n", "\n", "* Liu, Fei Tony, Kai Ming Ting, and Zhi-Hua Zhou. \"Isolation forest.\" 2008 Eighth IEEE International Conference on Data Mining. IEEE, 2008.\n", "* Liu, Fei Tony, Kai Ming Ting, and Zhi-Hua Zhou. \"Isolation-based anomaly detection.\" ACM Transactions on Knowledge Discovery from Data (TKDD) 6.1 (2012): 3.\n", "* Hariri, Sahand, Matias Carrasco Kind, and Robert J. Brunner. \"Extended Isolation Forest.\" arXiv preprint arXiv:1811.02141 (2018).\n", "* Liu, Fei Tony, Kai Ming Ting, and Zhi-Hua Zhou. \"On detecting clustered anomalies using SCiForest.\" Joint European Conference on Machine Learning and Knowledge Discovery in Databases. Springer, Berlin, Heidelberg, 2010.\n", "* https://sourceforge.net/projects/iforest/\n", "* https://math.stackexchange.com/questions/3388518/expected-number-of-paths-required-to-separate-elements-in-a-binary-tree\n", "* Quinlan, J. Ross. C4. 5: programs for machine learning. Elsevier, 2014.\n", "* Cortes, David. \"Distance approximation using Isolation Forests.\" arXiv preprint arXiv:1910.12362 (2019).\n", "* Cortes, David. \"Imputing missing values with unsupervised random trees.\" arXiv preprint arXiv:1911.06646 (2019).\n", "* Cortes, David. \"Revisiting randomized choices in isolation forests.\" arXiv preprint arXiv:2110.13402 (2021).\n", "* Guha, Sudipto, et al. \"Robust random cut forest based anomaly detection on streams.\" International conference on machine learning. PMLR, 2016.\n", "* Cortes, David. \"Isolation forests: looking beyond tree depth.\" arXiv preprint arXiv:2111.11639 (2021).\n", "* Ting, Kai Ming, Yue Zhu, and Zhi-Hua Zhou. \"Isolation kernel and its effect on SVM.\" Proceedings of the 24th ACM SIGKDD International Conference on Knowledge Discovery & Data Mining. 2018." ] } ], "metadata": { "kernelspec": { "display_name": "Python (OpenBLAS)", "language": "python", "name": "py3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.9.7" }, "toc": { "base_numbering": 1, "nav_menu": {}, "number_sections": true, "sideBar": true, "skip_h1_title": false, "title_cell": "Table of Contents", "title_sidebar": "Contents", "toc_cell": false, "toc_position": {}, "toc_section_display": true, "toc_window_display": false } }, "nbformat": 4, "nbformat_minor": 5 }