diff --git a/docs/source/example_notebooks/do_sampler_demo.ipynb b/docs/source/example_notebooks/do_sampler_demo.ipynb index f6190021f6..b57b2d26ae 100644 --- a/docs/source/example_notebooks/do_sampler_demo.ipynb +++ b/docs/source/example_notebooks/do_sampler_demo.ipynb @@ -119,17 +119,21 @@ "metadata": {}, "outputs": [], "source": [ - "from dowhy import CausalModel\n", + "from dowhy.causal_graph import CausalGraph\n", + "\n", "\n", "causes = ['D']\n", "outcomes = ['Y']\n", "common_causes = ['Z']\n", "\n", - "model = CausalModel(df, \n", - " causes,\n", - " outcomes,\n", - " common_causes=common_causes)\n", - "nx_graph = model._graph._graph" + "graph = CausalGraph(\n", + " causes,\n", + " outcomes,\n", + " common_cause_names=common_causes,\n", + " observed_node_names=df.columns.tolist(),\n", + ")\n", + "\n", + "nx_graph = graph._graph" ] }, { @@ -145,7 +149,9 @@ "metadata": {}, "outputs": [], "source": [ - "identification = model.identify_effect(proceed_when_unidentifiable=True)" + "from dowhy.causal_identifier import identify_effect\n", + "\n", + "identification = identify_effect(nx_graph, action_nodes=causes, outcome_nodes=outcomes, observed_nodes=list(graph.get_all_nodes(include_unobserved=False)))" ] }, { @@ -225,7 +231,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.10" + "version": "3.11.8" }, "toc": { "base_numbering": 1, diff --git a/docs/source/example_notebooks/dowhy_confounder_example.ipynb b/docs/source/example_notebooks/dowhy_confounder_example.ipynb index c4c90594fb..7bc2f6ce48 100644 --- a/docs/source/example_notebooks/dowhy_confounder_example.ipynb +++ b/docs/source/example_notebooks/dowhy_confounder_example.ipynb @@ -11,9 +11,18 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/opt/homebrew/anaconda3/envs/dowhy/lib/python3.11/site-packages/tqdm/auto.py:21: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n", + " from .autonotebook import tqdm as notebook_tqdm\n" + ] + } + ], "source": [ "import numpy as np\n", "import pandas as pd\n", @@ -51,9 +60,22 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " Treatment Outcome w0\n", + "0 3.700972 7.285452 -2.264497\n", + "1 10.163423 20.165819 4.058742\n", + "2 2.398554 4.547218 -3.733632\n", + "3 6.581902 12.852764 0.216842\n", + "4 6.858515 13.235077 0.523075\n" + ] + } + ], "source": [ "rvar = 1 if np.random.uniform() >0.5 else 0\n", "data_dict = dowhy.datasets.xy_dataset(10000, effect=rvar, \n", @@ -66,9 +88,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "iVBORw0KGgoAAAANSUhEUgAABBwAAAI1CAYAAAB16OnBAAAAOXRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjguNCwgaHR0cHM6Ly9tYXRwbG90bGliLm9yZy8fJSN1AAAACXBIWXMAAA9hAAAPYQGoP6dpAADKIElEQVR4nOzdeVxU9f4/8NewDcqOiqCgomiKS4lrWVmaa1k369deWt5KzazulmsuWer9dr1lq7csKyvrdit3QHIpDUVFU8RUDBURN1AWWQZmPr8/TjMCssw5c87MmeH1fDx4yMD5fM5HlJkz7/P+vN8GIYQAEREREREREZGKvFy9ACIiIiIiIiLyPAw4EBEREREREZHqGHAgIiIiIiIiItUx4EBEREREREREqmPAgYiIiIiIiIhUx4ADEREREREREamOAQciIiIiIiIiUh0DDkRERERERESkOh9XL0APLBYLzpw5g6CgIBgMBlcvh4iIiIhqEUKguLgYbdq0gZcX75kREbkDBhwAnDlzBjExMa5eBhERERE1IicnB9HR0a5eBhER2YEBBwBBQUEApBew4OBgF6+GiIiIiGorKipCTEyM7bqNiIj0jwEHwLaNIjg4mAEHIiIiIh3j9lciIvfBDXBEREREREREpDoGHIiIiIiIiIhIdQw4EBEREREREZHqGHAgIiIiIiIiItUx4EBEREREREREqmPAgYiIiIiIiIhUx4ADEREREREREamOAQciIiIiIiIiUh0DDkRERERERESkOgYciIiIiIiIiEh1DDgQERERERERkeoYcCAiIiIiIiIi1THgQERERERERESqY8CBiIiIiIiIiFTn4+oFEBEREZGbSUkBpk4Fli4F7rjD1atxGxaLBVVVVbBYLK5eChGRXby8vODj4wMvL2W5Cgw4EBEREZH9hABmzAAOH5b+HDoUMBhcvSrdslgsKCkpQVFREUpKSiCEcPWSiIhkMRgMCAwMRHBwMAIDA2UFHxhwICIiIiL7JScDu3dLn+/eLT0eMcK1a9Ipi8WC06dP48qVK/D390erVq3g7+8PLy8vGBikISKdE0LAYrGgvLwcRUVFyM3NRUBAAKKjo+0OOhgEw6woKipCSEgICgsLERwc7OrlEBEREemTEEDXrsDRo1e/1rcvkJameZaDu12vWYMNpaWliImJQUBAgKuXRETkkCtXriAnJwfNmze3O+jAopFEREREZJ+kpJrBBgDYs0fKcqAaSkpKcOXKFQYbiMhjBAQEICYmBleuXEFJSYldYxhwICIiIqLGCSEViqzLrFnS98mmqKgI/v7+DDYQkUcJCAiAv78/ioqK7DqeAQciIiIialxSEnDsWN3fY5ZDDdZCke6w9YOISK7g4GCUlJTY1XGHAQciIiIialhD2Q1WzHKwqaqqghAC/v7+rl4KEZHq/P39IYRAVVVVo8cy4EBEREREDauoAH7/veFjjh8HTCbnrEfnrHf9lPatJyLSM+tzGzMciIiIiMhxW7cCZnPDx4SEAH5+TlmOu2DrSyLyRHKe2xhwICIiIqL6CSFtl2jMiRNSJgQREdEfGHAgIiIiovqZTMDJk/Ydu2WLtmshIiK3woADEREREdXPaATmzbPv2GnTWDiSiIhsGHAgIiIiovoJASxYYN+xJ0+ycCQREdkw4EBERERE9SsvB/Ly7Du2QwcWjiQiIhsGHIiIiIiofps22X/suXPMcCAiIhsGHIiIiIiobkIAf/mL/cdv2ybVfCAiIgIDDkRERERUn4oKqd2lvUJCNFsKkaucOHECBoNBk48Tcn6/iNwQAw5EREREVLdt2wCz2f7jWb+BiP4wfvx4W2Bl/Pjxrl5Ok7F169YaQS1X83H1AoiIiIhIh4QAZs2SN6ayUpu1ELlQs2bNMGLEiEaPS0tLw6VLlwAA/v7+GDx4sF1zE3kyBhyIiIiI6FomE3DqlLwxQUHarIXIhVq3bo3ExMRGj7vtttuwbds2WWOIPB23VBARERHRtYxG4LHH5I1hhwoiIqqGAQciIiIiupbFArz5pv3H+/kB/v6aLYeIiNwPAw5EREREdK01a6Sggxy+vtqshciDVC/ot3XrVgBAWVkZPvvsM4wZMwadOnVCQEAADAYDXnzxxXrn+emnn/Diiy+id+/eaN26Nfz8/BAREYF+/fph2rRp+O233+xek8lkQnJyMqZPn45hw4ahffv2CAgIgJ+fH1q3bo1+/frhxRdfxO7du+3++3366ae2r3366af1dupYsWJFjfFz5861fe+2226zfT0jIwMvvvgievTogbCwMPj7+6Nr16546aWXkJubW+daNmzYgAceeADt2rWDn58fwsLCMHDgQPzrX/9CRUWF3T8fq0uXLuGdd97BXXfdhY4dOyIwMBABAQGIjY3F/fffj88++wxVVVWNzlNfYcfLly/j7bffxs0334yoqCgYjUZERUVh1KhR+OSTT2BuoIivtUjn7bffXuPr9f3cq/9sNSVIFBYWCgCisLDQ1UshIiIicj2LRYiOHYWQSkfa/6HhtZQ7Xa+VlZWJzMxMUVZW5uqlkBMNHjxYABAARPv27es9znoMALFlyxaxf/9+0a1btxpft3688MIL14w/duyYGDp0aJ3HV//w9vYWU6dOFZWVlQ2ue+3atSIsLKzR+awf9957r7h8+bJdfz97Pj755JMa4+fMmWP73uDBg4XFYhGvvvqq8Pb2rneOkJAQkZaWZpvj8uXLYvTo0Q2et3v37iIvL6/Bn011S5YsEaGhoY3+fTp37ix27tzZ4FxbtmypMcb6tbZt2zY4d//+/cWFCxfqnHPcuHGyfu6DBw+2++9em5znOBaNJCIiIqKakpKA33+3//jnngPGjQOCg7VbEzmV2SKQll2A88XliAjyR//YcHh7ub7FnqfJzs7Gfffdh4KCAgBAdHQ0YmNjYTKZkJWVdc3xqampGDNmDPLz821f8/f3R3x8PEJDQ1FQUICMjAxUVVXBbDZj6dKlOHbsGNasWQMfn7rf+p04ccLWXQMAgoODERcXh5CQEJjNZuTl5SErKwtCCADA999/j99//x2pqal1dtmwdvQ4ePAgzpw5AwBo06YNevbsWef527Zt2+DPaO7cuZg/f75tbfHx8TAajTh8+DDOnz8PACgsLMTw4cNx8OBBtGjRAsOGDbNlY0RFRSEuLg5msxm//vorrly5AgA4dOgQ7rnnHqSmpsLLq/7E/6qqKkyYMAGfffZZja+3b98e7dq1AwAcO3YMZ8+etX1+++23Y82aNbjjjjsa/LtZ/fzzzxgxYgRMJhMMBgO6deuG1q1b4/Llyzhw4IAtsyEtLQ1/+tOf8NNPP12z5p49e2LEiBEoKCiokYlSX4eVXr162bU2hykOa3gQd4qYExEREWnKYhGiSxd5mQ1OuJPvTtdr7p7hsPHgGTHw9RTR/uV1to+Br6eIjQfPuHppuqYkwyE4OFgAEDfddFONO/RCCFFZWSmys7Ntj3NyckTLli1tY6Ojo8XKlStFRUVFjXEFBQXiH//4hzAYDLZjZ86cWe963n77bdG7d2/x5ptvimPHjtV5TF5enpg+fbrw8fGxzfnSSy81+POofsd93LhxDR5bXfUMh7CwMGEwGERoaKj45JNPhMlksh1nsVjEsmXLamQ+TJo0SUycOFEAEPHx8WLz5s015i4pKRHPPPNMjX+Dzz77rMH1vPzyyzWOHzdunDh69Og1x23evLlGpkqrVq3EmTN1/87UznCw/rs+++yz14zJy8sTd955Z43jV65cWe9668qeUJuc5zgGHIR7vYARERERaaqsTAgfHwYcHODOAYeNB8+IDtUCDdaPDn98MOhQPyUBBwBiyJAhory8vNH5R44cWWM7QH2p9VbLli2zHe/r6ytOnz5d53HFxcWNntvqq6++ss0ZEBAgLl26VO+xagQcAIhmzZqJ9PT0eo+fNWtWjb+nwWAQ3bp1q3dtFotF3HTTTbYxt99+e71zp6am1gjcvPfeew2u/fLlyzWCDpMnT67zuNpBAQBi8eLF9c5bUVFRY94hQ4bUe6zeAg4sGklEREREVxkMQGCg/cf7+UljyO2ZLQLz1mZC1PE969fmrc2E2VLXEaSEr68vPvnkExiNxgaP279/PxITEwEAPj4++Prrr9GyZcsGxzzzzDMYMmQIAKCyshLLli2r87hAGb/vDz30EG666SYAwJUrV5CUlGT3WKWmTZuG3r171/v9iRMn2j6vrKyEEALLli1DaGhonccbDAZMnjzZ9njnzp31FmNctGiRbSvJww8/jEmTJjW41pCQkBo/5xUrVqC4uLjBMQAwaNAg/OMf/6j3+35+fjUKiKampjZYQFJPGHAgIiIioquMRmDQIPuPt1jYncJDpGUXIK+wvN7vCwB5heVIyy5w3qI83KhRo2x1ABpSvZPDqFGj0L17d7vmHzdunO3zlJQU2eury4033mj7PC0tTZU5G/LMM880+P22bdsiJibG9rhr16645ZZbGhwzcOBA2+dlZWXIzs6+5piCggKsXbvW9vhvf/ubXeu95ZZbEBsbCwAoLS1Fampqo2OqB0DqM3jwYNvnZWVl+F1OnR0XYtFIIiIiIrrKbAbWr7f/+KoqoLgYCAnRbk3kFOeL6w82KDmOGnfrrbfaddy2bdtsnw8bNszu+a+//nrb53v37oUQokYbxtouXLiATZs24ddff8WZM2dQVFR0TfvI6sUsT58+bfdalIiNjUVkZGSjx0VGRiInJwdAzYBIfaKiomo8rl400+rnn3+G5Y/WwOHh4UhISLBnyQCkn7s1iLFnzx4MHz68weMH2RHkjY6OrvH48uXLdq/HlRhwICIiIqKrfvhB3vFhYYC/vyZLIeeKCLLv39He46hxnTp1avQYIQQyMjJsjz/++GOstzMoWFZWZvvcZDKhqKgIIXUEB0+ePIm///3v+P7771FVVWXX3ID2b3rtCTYAQPPmzWWNqX48IGUi1HbgwAHb5yaTCSNHjrRrLYDUocPqwoULjR5vz5oDAgJqPK5rzXrEgANRU5aSAkydCixdCtjZtoeIiDyYEMDzz9t/fLt2wPbt0jYMcnv9Y8MRFeKPs4XlddZxMACIDJFaZJI6gu1oJVtYWFgjCLB//37F5yssLLwm4LB7924MHz5cUfCgdvaD2vz8/JwyxlqnobrqrUdLSkoU16soLCxs9JjGanjUpa416xFrOBA1VUIAM2YAhw9Lf7rJkxYREWmovBzIy7P/+JISICJCu/WQU3l7GTBnTDwAKbhQnfXxnDHx8PZikVC1eHk1/nbsypUrqp3PukWg+txjx461BRt8fX3x2GOPYdWqVTh48CAKCgpQXl4OIXU3hBACc+bMUW09eqbWz732z7ypYYYDUVOVnAzs3i19vnu39HjECNeuiYiIXEvu3crkZGY3eJiRPaLw/mMJmLc2s0YBycgQf8wZE4+RPaIaGE1aqN1t4ZtvvsH/+3//T5W5P/nkE1sdBl9fX2zatKlGccK62NN1wRNU/7nHx8fj0KFDrluMG2PAgagpEgKYPRvw9paKg3l7S4+HD6+7tRm3XhARNQ0//STv+FpFzMgzjOwRhWHxkUjLLsD54nJEBEnbKJjZ4BoBAQEIDAxESUkJAODcuXOqzW1ttQlIbR8bCzYAsBVn9HTV6yqcP3/ehStxb9xSQdQUWbMbrP17zWbp8aJFQHy8FGCwqr71YswYYNMm16yZiIi0JQQwd668Mc2aabIUcj1vLwNu7NQC99zQFjd2asFgg4vddNNNts/tabNor5MnT9o+79+/f6PHCyHwyy+/2DV39e0i7lJvoLrqP/OLFy/i2LFjLlyN/Wpv03H1z96hgENFRQU2b96MV155BXfddRc6duyIoKAg+Pn5oVWrVujduzcmTpyI5ORkxX/R3NxcLF68GIMGDULbtm1hNBrRtm1bDBo0CIsXL0Zubq4jfwWipqd6dkN13t7AggVSYOG556TAwz//CbRvf3XrRXk5MGWKFHSoHZggIiL3lpwM7Ntn//GrVwN2FLwjIseNGjXK9vnq1atrFDR0RGVlpazjExMT7X7/FRgYaPu8ercMd9GvXz+0aNHC9nj58uUuXI39qv/cAdf/7BUFHM6dO4eHH34YrVq1wtChQ/Hqq69i/fr1yM7ORklJCSorK3Hx4kXs378fy5Ytw4gRI9CzZ0/s2rVL1nk++OADXHfddZg2bRp++eUXnDlzBiaTCWfOnMEvv/yCadOmoWvXrli2bJmSvwZR01Q7u8HKbAas7XWOHpUCD6+8AtROmzt6FBg16mpgwg0j1kREVIs1GF3Xtrr6DB2q3XqIqIYJEyYgPFzqDnLlyhU899xzqszbpk0b2+c/NbKlqrS0FC+99JLdc0dFXa33cfToUfmLczEfH58af9+lS5ciPT3dhSuyT/WfO+D6n72igENOTg5WrVp1TcGQqKgo9OvXD0OGDEF8fHyNdI5Dhw7h5ptvxnfffWfXOebPn49JkybVqA7auXNnDB48uEa/2pKSEkycOBELFixQ8lch8mwpKVImwtNPS0W9Fi8G/vxn+8fXVzzMGqw4ehSo3SLIes5//rPmn8yGICLSL5MJOHVKXhB53Trt1kNENQQFBeH111+3Pf7666/x0EMP4dKlS42O3bNnD5544gl8+eWX13xvyJAhts+//fZbrKvn9zo/Px933XUXjhw5Yvea+/TpY/v8wIEDittKutLUqVPRuXNnAFKmwPDhw+v9GVVXWFiIDz74AMOHD9d6ideIioqqEXRYsmRJjbaqzuZw0ciBAwdi/PjxGDFiBDp06FDje2fPnsVrr72Gd999F0IIVFVV4eGHH8aBAwdw3XXX1Tvn6tWra7RbiY+Px+eff46EhATb16y/OIcPHwYAzJ49G7169cLdd9/t6F+JyH1VL+44dOjV2gu//Xb17pXM1LlG3XOPdNE5bFjNeg/z5kkZE9Y/Z8yQ1vTjjyxASUSkN0YjsGsXUOtarkFvvAE88IC8rAgiUuzZZ5/Fvn37bNndX3/9NdavX48HH3wQt9xyi237eWFhIU6dOoX9+/dj06ZNOHHiBICawQWrZ555BosXL0ZJSQksFgvuuecePP744xgzZgxat26NS5cu4eeff8bHH3+M/Px8BAcH484778RXX33V6HqHDBmCtm3bIjc3F0IIjBw5Et26dUOHDh3g5+dnO27q1Kl1rk0PgoKCsHr1agwaNAiXLl1Cfn4+xowZg379+uGee+5Br169EBYWhvLycuTn5+PQoUPYtWsXtm7dCpPJhPbt27tk3U888QQWL14MAPj888+xceNG9OrVC0FBQbZjevTo4Zyb9kKBvXv3invuuUfs3bvXruOXLl0qANg+7rvvvnqPNZlMIi4uznZsdHS0KCgoqPPY/Px80bZtW9uxnTt3FpWVlbL/PoWFhQKAKCwslD2WSBc2bRKia1chunQRAhCiXz8hXn9d+twZH82b23fcxo3S2qxrtFhc/ZMjIiKruXPlPfe3bi1EebnTludO12tlZWUiMzNTlJWVuXop5ESDBw+2vS9p3759vcdVf1+0ZcsWWeewWCxiwYIFwsvLq8Y89nx88skndc75v//9T/j4+DQ6PiAgQGzYsEHMmTPH9rXBgwc3uN6UlBQREBAga11y5req/rOfM2eOXWPk/DscO3ZMdO/eXfbPvL7/B1u2bKlxnL3sXXNxcbHo27dvg2uz92dbFznPcYq2VCQkJOCHH36okXHQkOeff75G1dP169ej1LpXvJZVq1YhKyvL9njJkiUICwur89jw8HAsWbLE9vjYsWNYtWqVXWsiclvWLQspKVc/f+45KYvBukdr924pm8FZ6vl9vsaf/3y1AKW1KwYREbmexSKvQ0VgILBjh5QZQUROYzAYMHPmTBw8eBCPPvoomjdv3uDxYWFhuP/++/G///0PjzzySJ3HjB07FikpKejRo0ed3/f29sbw4cORnp5eo3ilPYYOHYqMjAxMnz4dN954I1q2bAlfX19Zc+hBXFwc0tPT8cEHH6Br164NHmswGHDDDTfglVdeQYqLthQHBgZix44dWL58Oe666y60b98ezZs3h8EFGWmGPyIlmnv99dcxc+ZM2+NDhw4hPj7+muPGjBlj2xfTpk0bnDx5Ej4+9e/8qKqqQrt27ZCXlwcAuPvuu7F69WpZaysqKkJISAgKCwsRzGrLpGdCAAMGSG/Wu3QBTp6sv86CXhkMV/cIN28OFBcDXuzQS0TkUmvXAnK2paanA717a7eeOrjT9Vp5eTmys7MRGxsLf39/Vy+HPJjJZMKuXbuQlZWFixcvorKyEoGBgWjbti26du2Kbt26XdMmsT5CCKSnp2PPnj3Iz89HUFAQoqKicPPNNyMyMlLjv4l7ycnJwc6dO3H+/HlcvnwZRqMRYWFhiIuLQ8+ePW0FPj2VnOc4h2s42Kv2D72oqOiaY8rKyrBp0ybb45EjRzYYbACk6qEjR47EJ598AgBITk5GeXk5n9zJM1k7TABXsxncTfUYZ2kpMGECsHmz9Hj5ctZ1ICJyNiGAv/xF3pgNG5wecCCia/n5+eGWW27BLbfc4vBcBoMBffr0qVHskeoWExODmJgYVy/DLTjttqK1WIlVRETENcccPnwYFdXu1g4aNMiuuasfV15ebiskSeRRrEUfvb1dvRJ1ffqpVBn91Clg+vSaAQkiItJeUhJQbTurXV5/XdqGQURE1ACnBByEEPj2229tj6OiohAbG3vNcYcOHarx2NqCpDG1j8vMzFSwSiIde/ppadvB7t1XW1J6iuoBhj17pCwOIiJyDiGAalte7VZeDpSUqL8eIiLyKE4JOHz55Zc4fvy47fGjjz5aZ8GK2lkQ7dq1s2v+2u1GsrOz5S+SSI9SUoDrrgM++sjVK3GeWbOY5UBE5Cwmk1R0WI6PPgJ27gR0XkeBiIhcT/OAw+nTp/HCCy/YHoeGhmL69Ol1Hlu7rkNoaKhd5wgJCanxuLi4uMHjKyoqUFRUVOODSHeEAGbMcN9aDUrt2QO0by8FW4iISFu+vvKLDwcEAP36abMeIiLyKJoGHEpLSzF27Fjk5+fbvrZs2bJ6q3aW1ErNa9asmV3nqX1cYwGHhQsXIiQkxPbBgh+kS9ULRDY1OTms50BE5Azr1snfqvfPf/L5mYiI7KJZwKGqqgoPPfQQdld7w/Tcc8/hgQceqHdMZWVljceNdaio77ja89Q2ffp0FBYW2j5ycnLsOg+R5lJSgPh4YNMmZXtqPQnrORARaUtJdwoAOHNG2opBRETUCE3aYlosFjz++ONYu3at7WsPPPAA3nrrrQbHBQQE1HhcXl6O5s2bN3q+8vLyBuepzWg0wmg0NjovkVNZt1AcPgwMH+7q1ejDyJFARATwxRdsl0lEpLaKCkBu3SuDAdi+HeB1FBER2UH1DAeLxYLx48dj1apVtq/dd999+OKLL+DdSDu/wMDAGo9LS0vtOmft44KCguxcLZGONOUtFA05fx6YPJnpu0REatu6VX5rSyGAaoXAiYiIGqJqwMFisWDChAn4/PPPbV+79957sWrVKru2R7Rq1arG47y8PLvOW/u4li1b2jWOSDeEkLozUN2OHQNGjXL1KoiIPIfSdpgGAzB7NoPARERkF9UCDhaLBX/+85+xYsUK29f+9Kc/4euvv7a7FkPXrl1rPD558qRd42of161bN7vGEelCSgrQurVUs4Dql5QEdOvG7hVERGowmYDff5c/TgipsC9rOBARkR1UCThYgw2ffPKJ7Wt/+tOf8M0338DX19fuebp3717jcXp6ul3jah8XHx9v9zmJXEoIYNo04MIFV6/EPfz2G/Dcc7yzRkTkKD8/wM724zVs3Spt/2MNByIisoPDAQe1gg0AEBMTg06dOtkeb9u2za5x1Y+Li4tDdHS0rPMSuUxyMrB3r6tX4V6OHgUWLXL1KoiI3FtSEnDihLwx4eHAwIEAr7OIiMhODgUc6go23HvvvYqCDVZjx461fb5161acOnWqweNPnTpVI+BQfTyRrindP0tSN4/27bm9gohICSGAqVPljQkLA9LSmNlARESyKA44CCHw9NNP1wg2jB07Fl9//bXiYAMAPPnkk7ZuFhaLBa+++mqDx8+fPx+WPyose3t748knn1R8biJNpaQA8fHAP/8p/bloEbMbHHHqFLtXEBEpkZQkFeO116RJwIEDQLUsVCIiInsoCjgIIfDss8/i448/tn3t/vvvdzjYAEgFH8eNG2d7/NFHH+Gjjz6q89hly5Zh+fLltsfjx4+/pvAkkS4IId2VP3wYmDdP+nPGDFevyv0dOyZdOBMRkX2UZNft2QO0bavNeoiIyKMZhJB/e/Cbb77Bgw8+eHUSgwFDhgyxuxsFAPz1r3/FsGHD6vzexYsXMXDgQByv1uf57rvvxkMPPYQ2bdogNzcXX331FdatW2f7flxcHFJTUxW1xCwqKkJISAgKCwsRHBwsezxRvVJSpLTVG28EqgXoSEVRUUBurtSqjYiIGlZRAcTEyCtW3KKF9Dzr4u0U7nS9Vl5ejuzsbMTGxsLf39/VyyEiUpWc5zj7IwTVlJaW1ngshMCPP/4oa46HHnqo3u+1bNkSGzduxIgRI5CdnQ0AWLNmDdasWVPn8bGxsdi4caOiYAORZqpnNfz2m6tXo9zkyUBkJPDKK65eSd3y8oAJE4BHHpGCO0uXAnfc4epVERHpk9EIbN8OXHed/WNeftnlwQYiInJPqrTF1ELnzp1x4MABTJ06td4odkhICKZOnYoDBw4gLi7OySskakRystQ6DNBnnQGDAQgMbPy4FSuAzz7TfDkO+eQT4M47r25V0ePPm4hIL+QGwb/4gs+rRESkiKItFc5WXl6Obdu24cSJE8jPz0eLFi3QoUMH3HbbbTCqEHF3pxQ9chNCAAMGSEUh/yhqqjteXlKLs4sXGz7OYJA+9Pr3qEtiIjBihKtXQUSkP0IAXboAWVn2j2nVCsjJcXmWgztdr3FLBRF5Ms23VDibv78/RvDNA+mdtV7D0qVSZoM1u0EPjEZg3Dipd3rHjtLXunSRtkps3ixdSNYlJATo3Rv405+A/PyGz+HtLQUl9BDDnDpVuoPHug5ERDUlJckLNgDAjh0uDzYQEZF7couAA5HuVa/XMHmy/Is5tf3978D110ufh4cDPXtKwYa6VOsKU699+4CDB4FLl+r+flCQVEehsWwJZzl6VGo7+vnnrOlARGRlfa2SKyJC/bUQEVGTwIADkRqq12uQ09tcK5s3A4sXq3eHPyZG+mhIerpU9TwvD3j+eeDECddmO7zyClBVJV1cDx3KbAciIpMJOHJE3pjQUIBbAoiISCHdFo0kchtCALNnS1sK9CI3V7qwdKaYGCAhAfDxAbKzXb+1oqpK+nP3bikgRETU1Pn6AmVl8sZs387tFEREpBgDDkSOsmY3mM2uXcfkyVKRyr17pfW44gLRGnzx0tFTi8EgrcnVARAiIldbt07+c+EPP2iyFCIiahp09K6AyA3pKbthxQrghhukLIP66jVozWQCTp3SV0cLIaQAzKJFrl4JEZHrCCFtNZPr9df19ZxOpFMZGRlYvHgx7rjjDnTp0gWhoaHw9/dHTEwM+vbtiylTpmD9+vUoLy939VKJnMot2mJqzZ3aLJHOJCUBI0e6ehUSLy+pqKOr/w/n5Ei1HKzOnr1abDI/X8o4OH0a+Oc/nbuu5s2B4mJ9ZV8QETlLRYXU3rK4WN44vby2wL2u19gWs+k4cOAApk2bho0bN9p1fHR0NObPn49x48bBy8XXJCtWrMCTTz4JAGjfvj1OnDjh0vWQ+/C4tphEulR9+4DWd39CQ4FRo6T6CIGBQECA1LIyJETqQgFIbS71cAHWWIFJIYABA6SsEGduQyktBRYuBGbOdN45iYj0ws8PaNZMXsAhJgb49lt9vLYQ6dB7772HqVOnwlzreiYqKgrR0dFo3rw5zp49i99//x2VlZUAgNOnT+Opp57CF198gf/9738ICQlxxdKJnIYBByKlTCap/aUzUk0vX5baV44Yof25tFa9o4ezvf46MH06sxyIqOlJTATOn5c3prz8aotlIqph1qxZeO2112yPvb29MWnSJDzzzDPo2bNnjWMvX76M77//HnPmzEFOTg4A4Mcff8TNN9+MzZs3o1WrVk5dO5Ez8aqbSCk/v8ZbRarFUwofurqoZGmpFHSIjwdSUlyzBiIiZxNCalcs1y+/sEMFUR2++eabGsGGVq1aYefOnXj77bevCTYAQGhoKJ588kkcPnwY9913n+3rGRkZeOKJJ8Ad7uTJGHAgUio5GThwwDnnEkKqjeDsVpdq00NRyVdfBQ4fBu68E9i0yXXrICJylooKQO7ebG9v1xUgJtKx06dP4+mnn7Y9DgoKwpYtW9C3b99GxwYEBGDVqlUYPXq07WuJiYl46623NFkrkR4w4EAkV0qKdId8yhTnnC8sDEhNdV2rSzUZjdLfY88e6WdoMDh/DdagjckEPPec+2eNEBE1ZutW+TVzwsJc8xxNpHNvvPEGioqKbI8XL16M7t272z3ex8cHy5cvR2hoqO1rixYtqrd7xdy5c2EwGGAwGHDbbbfZdY6tW7faxhjq+D2+7bbbYDAYbAUjAeDkyZM1xlT/GD9+fIPnM5lM+OKLLzBu3Dh069YNLVq0gK+vL0JCQtCrVy88/vjjWLFiBQoLC+1af2pqKl566SXccMMNaNWqFfz8/BAZGYn+/ftj5syZyMzMdOjncO7cOSxatAgDBgxA69at4efnh+joaDzyyCPYXc+234MHD2LSpEno2rUrmjdvjoCAAHTr1g1//etfcfbsWbvWU11VVRW+/vprPPHEE+jatSvCw8NhNBrRtm1bDB06FP/3f/+HgoIC2fPqkiBRWFgoAIjCwkJXL4X0zmIRol8/IaS3qdp9hIUJkZoqxN69QuTkuPpvrb7yciFat274ZxAcLERAgPY/640bXf3TICLSjsUiRFyc/OfGzz939cqv4U7Xa2VlZSIzM1OUlZW5eimkokuXLonAwEABQAAQnTp1EhaLRdFc8+fPt80DQPznP/+p87g5c+bYjhk8eLBdc2/ZsqXG3LUNHjy4xvcb+xg3bly95/ryyy9FTEyMXfM0a9ZMnDlzpt65Lly4IO65555G5/H29hbPPPNMo79fdf0c1qxZI8LDw+ud22AwiGXLltnmsFgsYvr06cLLy6veMSEhIeLnn39u5F/lqsTERNG5c+dG/56hoaFi+fLlds/rTHKe41g0kkgOZxU8/Ne/gIEDtT+Pq1gzHaq3z6wtIkK67P30U6nug1amTgWOHOGdPCLyTElJUoFjOQwGYOlS4NFH+dxIVE1ycjJKSkpsjydMmFBnBoE9nnrqKcybN8/W4eL777+vsVVDS/3794e/vz9yc3ORkZEBAPD398fgwYPrPL6uuhQA8Pe//x1vvPFGja/5+/vb7thfuXIFx48fx8WLFwEAZWVlqKioqHOu06dPY+jQoTh69Kjta15eXujevTtatmyJvLw8/PbbbwAAs9mM//znP8jMzMSGDRsQFBRk1987JSUF9957L8xmM3x8fNCzZ0+EhoYiJycHWX88TwohMHHiRERFRWHMmDF4/vnn8e677wKQts/Ex8fD398fv/32G86dOwcAKCwsxJ133onDhw+jTZs2Da7h/fffx/PPP1+js0l4eDi6dOmCZs2a4fTp0zh27BgAqdjohAkTkJeXh5nu3GVN+/iH/rlTxJxcyJrdYDBoe8fdYJDOozBi7lGclVHCLAci8kQWixAJCcqeFyMjpWw0HXGn6zWPyXDYtEmIbt2kP0k899xzNe5A79u3z6H5evXqZZsrODhYmM3ma47RIsPB6pNPPrEd0759e1lrX7JkSY1zREdHi08//VRcuXLlmmOPHDkiXn31VdGmTRuRnZ19zffNZrO45ZZbasw3fvz4a7Ihjh07JkaNGlXjuCeeeKLeNdb+ObRo0UIYDAYxbdo0cenSpRrHbt++XbRu3dp2bPfu3cWXX35pyzT4+OOPhclksh1vsVjEBx98ILy9vW1jnnrqqQZ/Zhs2bBAGg8F2/E033SS2bdt2TZbM0aNHxV133VUj6yIpKanBuZ1NznMcAw7CvV7AyIUSE7V/46vjCz2XsGfrhRofnTszwENEnkfp69bWrbrczudO12seEXCoHvTnjRAhhBD9+vWzvQn09/cXlZWVDs03YcKEGm+IMzMzrzlGjwGHo0ePCh8fH9vYnj17irNnzzY6rqKiQlRUVFzz9Q8//LDGev/2t7/VO4fZbBb33XdfjeM3b95c57G1fw4AxAcffFDv3CkpKTWO9fPzE82aNRPp6en1jpk+fbrt+ICAgDoDLkIIUVxcLFq1amU79pFHHhFVVVX1zmuxWMSjjz5aIwCiJ3Ke41g0ksgeQkhp/Vqmlr79NrB3r/ThCQUi1WDderF3LzB/vnbnOXZMSjsmIvIUQgCzZikb278/O1RQzW2ku3dLj5u48+fP2z6Pjo6Gj49ju9Pbt29f7/x6tnjxYlRVVQEAmjVrhm+//RatW7dudJyfnx/8/Pyu+Xr1Lh3x8fFYuHBhvXN4eXnhww8/RIsWLWxfe/PNN+1a95AhQ/Dss8/W+/2hQ4eic+fOtscmkwnTp09H79696x0zefJk2+dXrlzB/v376zzuo48+woU/thLHxsZi+fLl8Pb2rndeg8GA9957z1Zc9NChQ9i8eXO9x+sZAw5E9rC+6AqhzfxeXsBnnwG9ewMJCbzQqy4mRvq5rF0r/Zy0MnOmdv++RETOZjIB1fZCy1JZqe5ayP1Yb7RY3xB5e0uPm/jrZPWuAdW7TChVew536Epg7a5g9dhjj6FLly6K5zt27JitjgQATJ06tdFATlhYGJ566inb440bN9bb5aO6Z555ptFjBtaqodbYmOjoaERXu26vr4PGihUrbJ9PmTIF/v7+ja4lODgY9957r+1xSkpKo2P0iAEHosZYX3S1ZLEAOTlXWzZSTSYTcOqU9HPSSno6sHGjdvMTETmTn58UsJWra1fAzgJs5MGsN1qshe3MZmY5ADXe1BpVyESt/aazrKzM4Tm1lp6eXqNw5oMPPujQfKmpqTUejxkzxq5x99xzj+3zysrKettZVnfjjTc2ekxkZKTt89jYWLsyN6KiomyfX7p06ZrvX758GQcPHrQ9HjZsWKNzWl1//fW2z/fs2WP3OD1hlwqixphMUsq92pYsAapXA46I4DaK+tTV1eLzzwE7U+jsNnMmMGoUq7ITkfszmYA/KsPLcumSNJavR01X9eyGapX0bVkOw4c32dfJsLAw27aHwsJCh+erPUd4eLjDc2qt9h38fv36OTTfsWrX2C1btmy0y4NVr169ajzOysrCLbfc0uCY6sGE+jRv3lzW8bXHlJaWXvP9gwcPwlLtptmLL74IX19fu+bOzc21fX6hoe5uOsaAA1F9UlKklok33QRcvqz+/F98Abz4YpN90ZYtJubq3TohgAb24Cm2f79092bECPXnJiJyJqMRSE0FOna0f0zz5sCOHQw2NHX1tQCvnuXQRF8nw8PDbQGH/Px8h+erPYc7BByqb/swGo0IDg52aL7qGQGtWrWye1xQUBCMRqOtzWZdmQW11VU/Qs3jAUDUse2o9r+z0loMagS5XIFbKoisUlKA+HjpTyGAGTOAw4eB5cu1OV9uLrdQKGXdYqGFKVOa/B5VIvIQH30k7/iOHeUFKMjzWLMb6quZ5OXVpGs5dOrUyfZ5Xl6ew0UeqxcYNBgM6OgGv39qbyuxBgwA+W/wq5/fnhoOrnLlyhVV5rFoubVYQww4EAE1AwwzZkgdC+zYC6aIv780NztRKGc0Anv2aNO5IisLWLRI/XmJiJzJYpH/XHbhAgPhTV1jNZOaeM2p2in7tesPyGGxWGrsye/WrRtatmypeL7qzNW3wqgsLCzM9nlxcbHDb4KrF84sLi62e5wQokYtCTWKeGql9trOnz8PIYTsjxMnTrhk/Y7ilgoi4NrWT3feqd25TCagSxfAwRS0Ji86GlizRpu5Z8+WakQsXQrccYc25yAi0tLatfIK7QYEcDsF1V0zqbYmXHNqyJAhNR6vXLmyRvFCOTZu3IiL1eqs3H777XUeV/2uf6WdHWTs2V6gVPUCiUIIHDt2DNddd53i+SIiImyf5+TkwGQy2ZXpkJ2dXSPYUX0evaldC+LcuXOyto+4OwYciOoqjqR2ypLBACxbJu2PZbBBHVpuqzCbr2a7DB3KOhtE5F6EAP76V3lj0tKAauni1IRVr5lENfTr1w+9e/fGvn37AACrV69GdnY2YmNjZc/11ltv1Xj8bD21qarXSLC3bWb1jggN8aq2daau2gN1uemmm2o83rJli0MBhz59+tg+r6ysxJ49e645R11++eWXGo/79u2reA1a69WrFwICAmxbK1JTU9GjRw8Xr8p5uKWCqHbrJ7X5+QE//QQ8/TTw6KOAg9V86Q/WbRXr1gEKXujtwhZgROSOKiqAkyftP75NG6BbN+3WQ+RB/vGPf9g+r6ysxDPPPCN7jq+++gqbNm2yPR45ciR69uxZ57Ht27e3fZ6VlVVnF4Tavv/+e7vWERgYaPvc3pacERER6N27t+3xBx98YHewoi4DBgxAs2bNbI8///xzu8Z9+umnts/bt2+PDh06KF6D1nx9fXFHtYzZjz/+2IWrcT4GHKhpq57doJXOnYFBg7SbvymLiZG2PKhUjKdOU6c22eJYROSmtm0DqqrsP/7sWSlIQUSNeuCBBzBs2DDb45SUFDz//PN2j9++fXuNIEVgYOA12Q7VVc8AqKqqwnfffdfg/CtXrrQ7w6H69ogLFy7gsp1d2V566SXb57/++iveeOMNu8bVJSAgAI888ojt8fLly3Ho0KEGx2zcuBEpKSm2x/Vlh+jJ3//+d9vnO3fuxPvvv+/C1TgXAw7UtGmd3QAAhw7xLrmWjEZp37FWraSOHpWKiBIRuQMhgFmz5I8hIrt4eXlh5cqVNd6sv/POOxg7dixyc3PrHWexWPDOO+9g5MiRNYodvv/+++jSpUu949q0aVNji8GMGTPqPc+GDRswceJEu/8uvXr1gq+vr+3x//3f/9mVrfDwww+jX7WM3ZdffhmLFy9usFhlWVkZ3n333To7e/zjH/+wZTlUVlbizjvvxLFjx+qcJzU1FQ8//LDtcWRkpKy/s6sMGjQIDz30kO3x888/j8WLF6OqkeBwZWUl1q5di9tvvx0n5WSu6QhrOFDTVb31k5ZtZqwtpIYPZy0ArcTFAfv3S0Wu8vKA556Tl07cmBdeAH77jf9+RKR/JpNUg0YOIRh0IJIhIiICW7duxejRo3H8+HEA0jaGxMREjB49GiNGjEBMTAyaNWuGs2fPYu/evfj222+RnZ1tm8Pb2xvvv/8+HnvssUbPN336dIwZMwaAVFixd+/emDp1KgYMGABfX19kZ2fju+++w7p16wAA48ePx4oVKxqdNyAgAGPHjsXXX38NAHj99dexYsUKdO/eHc2bN7cdN2TIEEydOtX22MfHB9988w369++PCxcuQAiBadOm4eOPP8bDDz+MPn36ICwsDFeuXEFWVhZ27NiBdevWobi4GHfWUZi9S5cuWLJkCSZNmgQAOHnyJK6//no8+eSTuOOOO9CiRQucPXsW69atw5dffmkLbHh7e2PFihU1Omfo2fLly3H06FGkp6fDbDZj2rRpeO+99/DAAw9gwIABaNWqFYQQuHz5Mo4ePYq9e/ciOTnZlnniyNYVlxIkCgsLBQBRWFjo6qWQM5WXC9G6tfUyS9uPyEjpfKS98nIhIiLU/zd87TVX/82IiBpnNgvh4yP/Oc4NroHc6XqtrKxMZGZmirKyMlcvhTR0/vx58ac//UkAkPURGxsrEhMTZZ1rypQpds09d+5csWXLlhpfa0hubq7o2LFjg3OOGzeuzrHHjx8X3bp1k/V3z87Ornctb775pjAYDHbN4+/vL77//vsG/25yfg5Wc+bMsR0/ePBgu8YMHjzYNmbOnDkNHltcXCzuu+8+2f9nGvvZOZuc5zhuqaCmy9r6afdu9do7jR4NvPkmsHdvzQ81z0ENsxaTnD9f3Xnnz7+aCZOSAsTHS38SEenJ+vXy6jd4eQE//8zuSUQKtGrVCt9//z127NiBe++9t0YRxtoMBgMSEhLw1ltv4bfffsOIESNknevtt9/Gm2++idDQ0Dq/36VLF6xZswZz5syRNW+bNm2wf/9+vPnmmxg2bBjatm1bo4hjQzp27Ij09HQsWbIE7dq1a/DYuLg4zJ0795oWkdW98MIL2L17N4YPH16jg0Z1fn5+ePDBB5GRkYE//elPdq1TTwIDA/Htt99i48aNuO222+DdSB25Dh06YNKkSdi+fbuuC2M2xCCEu+ZmqKeoqAghISEoLCys0XqGmoi1a4G771ZnruuvB/btY+q9qwkBDBggBXvU3C4zb560PWbAACmI1K8fsGsX/72JSB+EAK67Dqhn73OdgoOB8+fdIijuTtdr5eXltnaJ/v7+rl4OOYnJZMKuXbtw6tQpnD9/HhUVFWjZsiVat26N/v37o3Xr1g6fo6KiAtu2bcORI0dQUlKC1q1bo0ePHujfv78KfwPHZGZmIj09HRcuXMCVK1cQFBSEdu3a4YYbbpDdOjQ/Px/btm3DmTNnUFRUhLCwMLRr1w6DBw9uMLDjbgoLC7Fjxw6cPn0a+fn5MBgMCAkJQYcOHRAfH1+jS4meyHmOY8AB7vUCRirbtEkKNpSXqzNf69ZS7QA3uHDzaBUVQPv2wLlz6s7r5wf88IOUyWKVmAjIvEtBRKSJ8nIgMFBeIeTYWOD4cbcInLrT9RoDDkTkyeQ8x7FoJDVdmzYBd94JVFaqN+fmzQw26IF1u8yFC1K7t0uXgLQ04L335KUa12YyAQ88ILVRNZulP1kQlIj0RG5W16lTUpCWb4qJiEgDrOFATZMQUicDtYINAQHA9u3Svn7Sh5gYICFBykZ49FHgrbeA33+X9jdX638tW0nJ1buHZrMU2GDbUyLSgy1bILvbREAAA6ZERKQZBhyo6UlJAdq1k7fHtTFxcUC1HsmkUzExwKhR6hZ7tGY5cHcaEbmSEMDzz8sf16GDtF2MiIhIAww4UNMiBDB9OnD6tLrznjsnpduT/iUlSZkOamGWAxHpQUUFcOKE/HF8/SIiIg0x4EBNS3Ky1DJRLSEhQGoq2166CyGAF15Qf14vL2Y5EJFrbdsmr1gkAHTqxNcvIiLSFAMO1HQIAcyapd5848cDGRnAwIFAdLR685J2kpKAo0fVn9diAXJyeJeQiFxD6evblStARIT66yEiIvoDAw7UdKid3XDwINC2rXrzkbbUDjhVd/fdvEtIRK5jMsmvSzR5Mp+3iIhIcww4UNOgxZvNvXu5b9+dmEzq1+6wWrsWiIrSZm4iosYoKfq4YgXQpo3qSyEiIqqOAQdqGtTObgC4b9/dGI3S3by9e6XWmCtXAv/5jzpzCwFMmKDOXEREcpWVAYWF8seUlGizHiIioj/4uHoBRJoTQgoMqK36vn2mpLqHmBjpw6qiAnj5ZeDSJcfn/uwzYPlyqU0mEZEzyQkcGI3AjBlSi+DgYO3WREREBGY4UFNgMqlbKDAsTOpMsXcv97+6O6MRSEsDmjd3fC5mORCRq6Sl2X9sRQXw978D/fpptx4iIqI/MOBAns/PT9r+oIawMCnIMHAgkJDA7hSeoFMnoHVrdeb69FOpEwYRkbMIAfz5z/LGVFZqsxa6huC2SyLyQHKe2xhwIM/32mvqpMwD0l2kTp3UmYv0oaJC2hqjliefZF0PInKe8nLg3Dn7j58wgVspnMDrjxsdFovFxSshIlKf9bnNy46bugw4kGezWIBXXlFnLi8vZjR4IoMBCA1Vb768PGDhQvXmIyJqiNxuSZ99Jr02kqa8/6jnU8lsEiLyQNbnNm87apcx4ECe7dVX1bvbrNa2DNIXoxFIT5dqcqxbp86dv1df5QU9EWlPCODZZ+WNqawEiou1WQ/ZeHt7w9/fH1euXHH1UoiIVFdSUgJ/f38GHKgJS0kB2rUD5s5Vb86wMOluOHmemBipJseQIUBRkePzlZezgCQRaU/udgpAyujy99dkOVRTYGAgSkpKWMeBiDyKEAJXrlxBYGCgXccz4ECeRwhg+nR19uVHRgLr10t3v9PT2ZHC05lM6s21YgVgNqs3HxFRbUuWKBvD1zKnCAoKgsViwYULF1y9FCIi1Vy4cAEWiwVBQUF2Hc+AA3me5GRgzx515qqoAIYOZUeKpsLfX8pkUQuzHIhIKxaLtH1LDoMBeP99FrZ1En9/f0RERCA/Px8FBQXMdCAityaEQEFBAfLz8xEREQF/O7PlfDReF5FzCQHMmqXefDExUltNahqMRuDXX4ELF4AFC4Dvv3dsvk8/BZYvB+zY30ZEJMvChVJQXA4hpOw/k4lZDk4SHh6OyspKnDt3DgUFBQgJCUGzZs3g7e0NA7dpEpHOCSFgNptRVlaGwsJCVFZWIiwsDOHh4XbPYRAMt6KoqAghISEoLCxEMFtFubekJGDkSPXma90aOHmSF2ZNjcUCNG8u/2K+LnPnAnPmOD4PEZGVxQIEBEg1HOSIjgZ++UUKprshd71eE0KgvLwcly9fRlFREVtlEpHb8fLyQnBwMEJDQ+Hv7y8rYMoMB/Icamc3/Pe/wMCBDDY0RevXqxNsAIDFi4HZs9nlhIjUs2GD/GADILXtbdVK/fVQgwwGA5o1a4ZmzZqhdevWMJvNMLPGDxG5CW9vb3h7e8NL4bUsAw7kOdSs3QAAd94JNGum3nzkHoQA5s1Tb76yMunNwV13qTcnETVdQgDz5ysbGx7Obksu5uXlBS8vL/j6+rp6KURETsFbbuQZ1M5uMBikXuXU9CQnS11J1PSXv7BIGxGpw2QCTp2SP27HDnZbIiIip2PAgTyD0guw2gICpHaGu3YBbrQ/lFQihDbbH44dA+LjgZQUdecloqbHaAR27pQ/rnt3dlsiIiKnY8CBPIPRKG2ncDTLIS0NGDcO6NdPnXWRe7EGrrQo6PXbb8CMGcx0ICLHBQTIO97Li5kNRETkEgw4kOeIjgaWLFE+PjVVugtNTZfRCOzeLQWv4uPV3+u8e7e0ZYOIyBEtWsg7nrUbiIjIRRhwIM+QkgK0bAmUliqfo1Mn9dZD7ismBujRA8jP1yYbYepUZjkQkWPWrLH/WG9vKaDODAciInIBBhzI/QkBTJsGFBQon+O//2WrMLrKmumwd690oR4ert7cR48CixapNx8RNS1CAE8/bf/xZjNw/Lh26yEiImoAAw7k/tToKqB2kUByfzExQEICMHAgsH+/9H/shx+AoCDH5543T5s6EUTk+RITgYsX5Y2ZNYuZVURE5BJ8l0XubdMm4O67HZvDYJDuOPNijOpjDT7cc4+y6vC1VVQACxc6Pg8RNS1CAI8+Kn9cTo5UFJeIiMjJGHAg9yUEMGWK4xdRQvBijOwXHw+sXu34PK++yiwHIpJn40bg0iX7j3/zTWDDBqkQLms4EBGRC/i4egFEiiUlSfvhlfLyAnbtkv6MiODFGNnvrrscn6OiAli3zvEMHSJqGoQAJkyQN6ZDB2DUKE2WQ0REZA9mOJB7EgJ44QXH5rBYgC5dpFT56Gh11kVNw9q16szz979zKw8R2ae8HDh7Vt6YOXP4HENERC7FgAO5J0ezGwAp2KBGAUBqWoSQLuLVcPSo9H+ZiKgxycnyx5w5w+2CRETkUgw4kPsRApg50/F5Cgt5IUbymUzy7zI2hNXjiagxSrP6XnuN2wWJiMilGHAg95OcDKSnOzZHixbAjh28ECP5jEZg926pTeb69cDzzzs23+nTDHwRUcOSkoCTJ+WP+89/GNAkIiKXYtFIci9CSHeEHREWJhWL7NRJnTVR0xMTI30I4VjAwd+fgS8iapgjzzPWDkx8jiEiIhdxKMOhuLgYP/30E95880088cQT6N69O3x8fGAwGGAwGNChQwfZc544ccI2Xs5HZGSkI38VchcmE5CZqWysry+wfDlw4ACDDaSOigpldx2rj4+NVW89ROR5KiqArCz54554gu0wiYjI5RRnOFx33XU4duwYBFP1yJl8faWLLyWio4EnnwQMBnXXRE2bI/+fhAB++AEYO1a15RCRh9myRdm4b74BPvlE3bUQERHJpDjgcNTRDgF2uvXWW9GsWbNGjwsPD3fCasjlXn8dMJuVjT11SgpW+PuruyZqugwGIDQUuHhR+Rz/7/8BiYnAsGGqLYuIPIQQwPTpysaWlwMlJUBwsLprIiIiksHhGg4BAQG4/vrr0adPHyQkJODrr79GYmKiGmsDAHz66aeKtmaQB7JYgHnzlI8PDWV2A6nLaJSKR44cCRw+rGwOi0XKvMnJ4f9PIqrJZAKOH5c/rnlzqcAygw1ERORiigMOK1euREJCAq677jp4eV0tBbF161Y11kV0rXXrgKoqZWMNBmDnTu5lJfUdPqw82GCVmytlOYwapc6aiMgz+PlJQUm50tKA7t3VXw8REZFMigMOjz76qJrrIGqY0h7kVuHhUlcBIjUJAcyeDXh5KXtTUN2ECVLggVkORGS1YQNQWipvTGgoEBenyXKIiIjkcqhLBZHTJCUBJ04oH//UU8xuIPWZTFJtEEeDDQCQlydlORARAVJA8/HH5Y1p00bqxMTXOyIi0gkGHEj/hABeftmxOd59V503hUTVGY3A7t1S67lu3Ryf79FHpf/vREQbNwKXLskbU1UFRERosx4iIiIFGHAg/TOZgEOHHJvDWq2bSG0xMUCPHkBBgeNzXbokvckgoqZNCGDaNPnjfvyR2Q1ERKQrug84vPzyy+jVqxdCQ0Ph5+eH1q1bIyEhAVOmTEFSUhIE7wZ6Pm9v5a0wAeDjj6WCkazWTVqpnunQqZNjcz31FLMciJo6k0naZiVXq1bqr4WIiMgBug84fPPNNzh48CAKCwtRWVmJ8+fPY9++fXj33XcxcuRI9OzZE6mpqa5eJmlp+HDlYw0G4L77gH791FsPUV2smQ6OZtKcOydl5BBR02U0AgsWyB/n76/+WoiIiByg+4BDixYt0L9/fwwdOhQDBgxAy5Yta3z/0KFDuPXWW7F8+XK756yoqEBRUVGND9KpqipgyxZlYydOBHbtYmYDOY810+GXX6TMHKU6dwZSUtRbFxG5FyGAl16SNyYggAEHIiLSHd0FHAwGA/r27Yt3330Xv//+Oy5evIhdu3YhJSUFO3fuxIULF7Bnzx7cf//9tjFVVVV49tlnkZSUZNc5Fi5ciJCQENtHDNsl6tcTTygfu3s30LevemshskdMDJCQAISFKZ8jNxeYPp1bK4iaqtJSoKxM3ph27QA/P23WQ0REpJDuAg7t27fH7t27MXnyZMTGxtZ5TJ8+ffDf//4XS5cutX3NbDZjypQpqKysbPQc06dPR2Fhoe0jJydHtfWTisxm4KuvlI8/fVraB0vkbEYjsHcv0LWr8jn27AGSk9VbExG5jzVr5I85c4aveUREpDu6CzjI8fzzz+Opp56yPc7KysIaO16kjUYjgoODa3yQzqSkAK1bKxvbrh2wfr30ho3VuslVWrd2vHPFzJnMciBqaoQAFi2SP44ZDkREpENuHXAAgJkzZ9Z4vJEt5dyfEFI6eX6+svEVFcDQoUB0tLrrIpLDaATS0hyr5bB3L7MciJoak0naViXXhQvMcCAiIt1x+4BDx44d0b59e9vj3377zYWrIVUkJ0vZCUolJjKzgfQhLMyxlq4AsxyImhqjUX7xxx07pLpFfO0jIiKdcfuAAwBERUXZPr948aILV0IOEwKYOlX5+OBgoFs39dZD5IjgYODNNx2bg1kORE2L3AwHg0FqycusPiIi0iGPCDiUlpbaPm/WrJkLV0IOS0oCjh6VPy48HPj0U+DQId7hIf0QAvjiC8DLwadaZjkQeb6UFCA+XtoSaC8vL+Cnn9j+mYiIdMvH1QtwVEVFBbKysmyPIyMjXbgacogQwAsvKBvr5QU8+CCDDaQvJhNw6hRgsTg2z5Ej0lz8/03kmYQAZswADh+WNy42Fhg0SJs1ERERqcDtMxy+++67GhkON998swtXQw5Rmt1gMACpqXwzRvpjNEr7qvfuBTZtUj5PeTng66veuohIX5KTpecKuY4f55YrIiLSNbcOOJw7dw7Tpk2zPfby8sLYsWNduCJSzJHshvBwICZG3fUQqSUmBkhIAO64A/jvf5UFxqqqgKIi9ddGRK4nBDB7thQ8l8tgkMZyyxUREemUrgIOqampmDhxIo4cOdLosQcPHsSQIUNw6tQp29eeeOIJdGPBQPdUUSHdqVFiyxZmN5B7uO8+QOm2r3feUXctRKQP1uwGJUEDIYCcHLbDJCIi3TIIoSwsvmDBAixYsOCar1dWVsJSbb+ysY43go8//jg+/PDDa76+detW3H777QCA66+/HkOGDEGvXr0QGRmJoKAglJSUICsrC0lJSVi/fn2N8/Tu3Rtbt25FsILCSUVFRQgJCUFhYaGi8aSCpCRg5EhlYz/9FHjiCXXXQ6SF8nIgMFBZq0wfHykw52gBSiLSDyGAAQOkbVdKar289RYwdmyT6VDB6zUiIvejuGhkVVUVKioqGj2urmMqKysbHffrr7/i119/tWstY8aMwccff8wXH3clhFSFX6klS4DHH1eWjkrkbEpTn6uqgLVrgXvuUXc9ROQ6Sms3WH38MfD88+qth4iISGW6ulXWoUMHPPjgg4iKimr0WC8vLwwbNgyrV6/GmjVr0LJlSyeskDRhMgHVOo3IlpfHdFJyDwYDEBqqfPxf/8q92kSewlq7wRHnzvH1j4iIdE3xlgqtnTlzBpmZmTh16hQKCgpQVlaGZs2aITQ0FHFxcejbty8CAwNVORdT9Fxs0yZg9GjpDq5cHTpIPchZNJLcRVYW0KeP8iKQZWWAv7+6ayIi56uoANq3l4IGcgUHS1sRo6ObzHYKgNdrRETuSPGWCq21adMGbdq0cfUySGtCANOmKQs2ANKbr4gIdddEpKW4OGDPHqBLF2Xjt25VXu+EiPTDaAR27QK6dpXqu8ixdSvQu7cmyyIiIlKTrrZUUBOUnAykpysbGxkp7X1lhwpyN44EyZ57jtsqiDzFwYPygw2AFKQgIiJyAww4kOsIAUydqnz8xYtAq1bqrYfIWfz9gZAQZWN//11KxSYi9yYEMG+esrGs20BERG6CAQdynaQk4OhR5eNDQtiZgtyT0Sjd2Vy2TNn4H39Udz1E5HzJydL2KrmMRtZxISIit8GAA7mGo9kNzZtLe1+5nYLcVUyMtC1IiUmTuK2CyJ0JAcyapWyswQD4+qq7HiIiIo0w4ECukZQEHDumfHynTkDHjuqth8jZhAAmT1Y2NidH+h0iIvdkMinP8DOZgJISdddDRESkEQYcyPmEAF54wbE5zp/nHlZyb+XlQG6u8vGTJzPLgchd+fkBYWHyx73xBrBzp9QWk4iIyA3oti0mebCKCuD4ceXjW7QAduzgdgpyb5WVUmq00qBBdrb0u8S93ETup6JCfsDRYACefprBBiIicivMcCDn27YNMJuVjf2//wP275e2VBC5s+BgIDUV+Pxz5fuxq6rUXRMROYfBINUikmPbNgYbiIjI7TDgQM7lSKEsAFi1CmjbVr31ELnSgAHA3XcrD8CNG6fueojIOfz85HdZ6tNHm7UQERFpiAEHci6TybFikadPs3YDeZbgYOCXX4Dly+WP/e475cEKInKdjRuBwkL5Y4iIiNwMAw7kXH5+gJfC/3ahoazdQJ5pwADgvvuUjR0+XN21EJG2Nm0C7rpL/rhp01goloiI3A6LRpJzbdwIXLokf9zWrVLdhuho1ZdEpAt+fsrGbd4s1XLw4dM5ke4JAbz8srLAAQvFEhGRG2KGAzmPEMDUqfLHeXlJd4AZbCBPZu1aocQTT6i7FiLSRnIysG+fsrHh4cqfI4iIiFyEAQdyng0blLXDDAjgRRZ5vqAg4LrrlI396ivWciDSO6VFk8PCpI426encUkhERG6HAQdyDiGAl15SNrZlS+Xp5kTuwmRStt3I6skn1VsLEakvORnYs0femAkTgAMHgIEDmeVHRERuiQEHco6kJOXdKU6dkvatEnkyoxHYvVsqjKrE558zy4FIr5RmN+zbx1bQRETk1hhwIO0prd1A1NTExAA9eijfQvTDD6ouh4hUoiS7AQCOHGEraCIicmsMOJD2HMluAFgoi5qW4GDpzYkSL7zAtnlEeiMEMHu2srFVVYCvr7rrISIiciIGHEhbStNIAaB5cxbKoqbpllukYqly5eYC5eXqr4eIlDOZpK2BSlRUACUl6q6HiIjIiRhwIG0lJwN79yobGxvLdpjUNPn5AR06KBv7xhuqLoWIHGQ0Av/3f8rGXned1MGGiIjITTHgQNpxJLsBAPLzuXeVmiaTCbhwQdnYuXMBi0XV5RCRA4QA5s1TNrawkK+DRETk1hhwIO2YTEBWlrKxXbsCaWncSkFNk9EIbN6sbKzFAqxZo+56iEi5pCTg+HH5495+W+pcw9dBIiJyYww4kHb8/KQCeEpcugRERKi7HiJ3EhcHhIUpG/vYYyweSaQHjnRp+vRTtsQkIiK3x4ADaScpSVmhrE6deFeHyGiUsnyaNZM/9soVoLRU/TURkTwVFcqyGwAgJ4fbKYiIyO0x4EDaEAJ47jllY/Pzmd1ABEjBt9hYZWPvuUfdtRCRfFu3Kq+psn07A+9EROT2GHAgbVRUAL//rmxsdLS0HYOoqUtOBjIzlY398Uegqkrd9RCR/YQAXnhB2dgWLYCYGHXXQ0RE5AIMOJA2HKmSf+EC00iJHO3yAgDffqvOWohIvqQk4OhR+eN8fID0dGY3EBGRR2DAgbSxfr38MW3aSOP27OGFFpHJpKwGSnV//SuLRxK5giMBw6oqIDRU1eUQERG5CgMOpD4hgBdflD/uzBnA21vaUkHU1BmNUvHUzp2Vz3HmDJCYqN6aiMg+JpNU9FGJn35S3uGJiIhIZxhwIPUlJkpvdJSYPZt3ZImsWrcGCgsdm2PqVP5OETmb0Qi88YaysSUl6q6FiIjIhRhwIHUJATz/vPLxbANGdJXRKG0xWr8eWLpU2RwnTkhFXInIeYQApk1TNvaFFxgkJCIij8GAA6krKUl5z3GjEdi1i/UbiKqLiQFGjwamTFFWtb6qCti2Tf11EVH9HMn0y85mkJCIiDwGAw6kHkezGyorWSiLqD4mE1BWpmzs88/zjimRswgB/PnPyseHhgIGg2rLISIiciUGHEg9FRVAVpaysR9/DOzcyUJZRPUxGoG9e4EWLeSPPXZMyj4iIu2VlyvPboiLY0tMIiLyKD6uXgB5EEfuoN53H4MNRI2JiAAuX1Y29vnngaNHeeeUSGtLligfW1ws/Z4TERF5CGY4kHr+9S9l4667DggKUnctRJ7IYFC+7ej4ce4LJ9KaxQK8+qqysc2bAzt2MLuBiIg8CgMOpA6LBXjtNWVjCwvZmYLIHkajlG7durX8sUIAmzervyYiumrdOuWBvc6dgY4d1V0PERGRizHgQOrYsEHat6rEzp28o0Nkr4gI4OJFZWOnTmXxSCKtCAHMn698/LlzDL4TEZHHYcCBHCcEMG+e8vHNm6u3FiJP5+i2ChaPJNKGySQVaJVr+nSpIOzu3Qy+ExGRx2HAgRxnMinvTvHVV0CrVuquh8iTGY3Avn3A+vXA7bfLHz9rFrMciLTg5weEhMgfl5gI9O4NREervyYiIiIXY8CBHOfnB8TEyB8XGgrce6/qyyHyeDExwMiRQGqq/LG5uUzbJtJCUhKQkyN/XF4efyeJiMhjsS0mOS45GTh4UN6Y5s2BPXuYPkqkVEmJsuJ0ixfz945IbUIAM2bIH/fLL1IAkb+TRETkoZjhQI4RQkrRlqtDB1bjJnJEcLCUii3Xyy9zSwWR2pKTpa1Oct1wA7dSEBGRR2PAgRyjtH5Dfj5TSIkcVVIif8zZs8oCFURUNyGAmTOVjeXrIBEReTgGHMgxfn6Ar6+8MdOnczsFkaOEABYtUjZ2+nRmORCpJTlZ6jIhV1gY4O+v/nqIiIh0hAEHckxiInDhgrwxX38NtG2rzXqImgqTCTh1StnYI0d4Z5VIDUqzG6KigF9/ZeCdiIg8HgMOpJwQwHPPyR938qSyYndEdJXRCGzfLt0llau8XH5mEhFdy2QCDh2SP+7CBbaEJiKiJoEBB1IuKQnIzpY/LiwMMBjUXw9RUxMXJxWq81HQcGjBAvXXQ9TU+PhIATy5goP5OkhERE0CAw6kjNLsBm9vIDWVaaREagkNBaqq5I+bMwewWFRfDlGT8tpr8se0aQPs38/XQSIiahIYcCBlkpKA33+XPy48XOo5TkTq8PdXtq0CAJ58Ut21EDUlFgvw+uvyx1VWAhER6q+HiIhIhxhwIPmEAGbMkD/O35/dKYjUZjRKd0uVBPI++wwwm1VfElGTsHChsnpEv/zC10EiImoyGHAg+Uwm4OhRZeNCQ1VfDlGTFxEB5OUpG/vUU+quhagpsFiAV1+VPy44mFl+RETUpDDgQPL5+Um1GOQIC5NqNwQHa7MmoqbMYABCQpSNZZYDkTwpKUB8vLLshrAw6TWUiIioiWDAgeQrKwOKiuSNKSwEevXSZj1ETZ3RKHWrWLcOaNFC/vh589RfE5Ensm4pPHJE2fhTpzymLbTZIpB6PB+r9+ci9Xg+zBbh6iUREZEOKeilRk1aSgrw8MPyx4WGsgUYkZZiYoBDh4D8fPljFy8G5s4FvBiDJmpQcjKwe7fy8W7+Omi2CKRlFyD5UB6+TT+N4vKr2VFRIf6YMyYeI3tEuXCFRESkN7y6JPsJAUybBly8KG+clxewaxeLZBFpSQhg1ixlY00mYMIEdddD5GmEAGbPdiww16KF2wYdEjPycPPizXj4w5345JeTNYINAJBXWI5JK9ORmKGwngwREXkkBhzIfsnJwN698seFhbFIFpHWTCbg9Gnl41esYC0HooZYsxssFmXju3WTXkPdMPiemJGHSSvTkVdY3uBxAsC8tZncXkFERDYMOJB9HLl7+tNPbnmBReRWjEbpzdDSpcrnWLBAvfUQeRI1shsOHwYyM9Vbk5OYLQLz1mbC3hBCXmE50rILNF0TERG5DwYcyD7JycCePfLH/fSTVM2biLQXHQ188ony8YsXK797S+TJHM1uAKStFLNnS8ELN5KWXdBoZkNtZwvLNFoNERG5GwYcqHHWOzty9536+QH9+2uzJiK6lskEnDmjfHxZGbBwoXrrIfIEamQ3WOfJyZF+T93Ihz9lyR5TcMW9/o5ERKQdBhyocdY7O3LvylgsgK+vNmsiomsZjcD27VJXGKVef51ZDkTVmUxSO0tHfi+8vIBffpFeS91oi+HCDZnYfERmoWgA4YHu83ckIiJtMeBADbPe2VGiqgooLlZ3PUTUsLg46U1NQICy8aWlwPr16q6JyJ1Z66NMmqR8jhYtgIQEaduTmzBVWfDhz9mKxkYG+6u8GiIiclcMOFDDTCbg5EllYwMDAX9edBA5XVycVKBu61Zl41991e32mRNpqm1b4MMPlY2dNw9IT3erzAYA+Dz1BJQ2m+gfG67uYoiIyG0x4EANs6ZoK9GunVTHgYicLyZGeQ2Vkyfdbp85kaYWLJCy9pT44QcpYOFm/peeo2ic0Qfw9pJZ84mIiDwWAw7UuKNHlY3Lz+ebFjdmtgikHs/H6v25SD2ez77q7ujHH5WNq6oCfv5Z3bUQuSuLRcr6USovz+1eC01VFmTmlSga6+vtrfJqiIjInfm4egGkc0IAU6bIH9epE7Bli9ulkJIkMSMP89Zm1miFFhXijzlj4jGyR5QLV0Z2EwKYP1/Z2IICYNo0ad+63O40RJ5m3Tr52Q2+vsBHHwE9egAREW73Wjhu+S7FY32Z3UBERNUww4EalpQEnDghf9yVK9JFFrmdxIw8TFqZfk3f9bOF5Zi0Mh2JGXkuWhnJ4kj9FQDYu1fqUEPUlAkB/OUv8sdVVgL33ed2hSIBYMOBPKRmFygeHxnsXsEVIiLSFjMcqH5CADNmyBvTrBmwebN0geVmd3Q8ldkikJZdgPPF5YgI8kf/2HDb/lqzReCXrIv4X/ppnL5UijahzfDT0fOoa/OE9Wtz1xzCsPhI7tHVO2v9lW7dALNZ2RyzZgHDhzPLgZqupCTg+HFlY9evBx54QN31aMxsEfjH/w44NEfn1kEqrYaIiDwBAw5Uv+RkYN8+eWOEkArVeTF5Ri31BQysXz9bVI6CkgqEB/ghMqRZjYDChgN5mPnDQVwqrbTNFxlsxNy7uwMA/vLNryg1VXszevJyo+s5W1SBdzZn4YU7Oqv69yQNtGsHhIUBFy8qG79nj/Q8MGKEuusicgdCSEE3pd54A/h//8+tAnY7f89HSYXC4ph/iA5X2JKXiIg8EgMOVDchgJkz5Y+rqABKSoDgYPXX1ATVV0vh7uujsObXvGu2PVi/P2dMPPaduoRlP13bQ/1sUQUmrkx3aF3/TjmKw2cL0addGMIDjLhcakJ4gB8igvwBA3CxpOKabApyAaNRasf3229SpoJc3t7A7NnMcqCmKTlZ2lqkVE6OtLXJjbL9Vu50YBvWHwbFtVRhJURE5CkMQihvtl5cXIx9+/YhPT0d6enp2Lt3L44cOQLzH+m77du3xwkl+/+ryc3NxcqVK7FmzRqcOHECFy9eRMuWLdGhQwfcfffdeOyxx9DWwXZTRUVFCAkJQWFhIYL5RllSUQGEhEh/yrF1KzB4sCZLamqstRTcuTdEZLA/5t5df6HJhrZ7kIouX5YyHZRKTGSWAzUtQgBduyrr0uTtLW1nio52q/oNZotA/CuJqKiyODTP0QWj4OejTZYjr9eIiNyP4oDDddddh2PHjqGh4Y4GHD744AP87W9/w5UrV+o9JjAwEG+88QaeffZZxefhC1gdzGbAR0ECTE6OW11g6ZXZInDz4s11ZjC4ow8eS8DIHlFXt4EUlmFH1kVsOnwOhWVX03fDA3yx4J4eGN2rjQtX64EcDTj07QukpTHLgZqO8nIgIEBqialEZaWy11AX2pF1EY9+pLw7hdVXTw/EjZ1aqLCia/F6jYjI/Sh+NTyqJOovw/z58zFnzpwaX+vcuTPatGmD06dP4/gfRZxKSkowceJEXLhwAbMc2WtJNa1eLX+Mry/Qhm8Ulap+t/9icYXHBBsA4MVV+/H0rYX4PPUULpdV1ntcwZVKTP5yH+7KOIth8a2Z9aAWR2uqHD/udqnhRA7ZskV5sAEAzp51u+B76vF8VeY5X+w5r11EROQ4h8PvAQEBuP7669GnTx8kJCTg66+/RmJiokNzrl69ukawIT4+Hp9//jkSEhJsX9uzZw+eeOIJHD58GAAwe/Zs9OrVC3fffbdD5yZIqaRTp8ofV1XF+g0K1VWrwZOUV1nw9mb7K72vO5CHdQek9pvWmhT1bcsgOwQFAdddBxw5omx8u3aAn5+6ayLSKyGAp59WPv7NN90u2ABIQW81RAT5qzIPERF5BsUBh5UrVyIhIQHXXXcdvKrdPdu6datDC6qsrMTf/vY32+Po6Ghs374dYbXSgfv27Yvt27ejV69eyM3NBQD87W9/w+jRo+HjZmmMupOYCPzxM5XljTcYbFDAE2o1aCmvsBwTV6bbtmWQAiYTcOmS8vG//spuFdR0KH0NDAgAPvsMGDtW/TU5wep9OQ7PERUiZaURERFZKc6zffTRR9GtW7cawQY1rFq1CllZWbbHS5YsuSbYYBUeHo4lS5bYHh87dgyrVq1SdT1NjiN3dlatksaT3cwWgWnfHWSwwQ4v/++AanfgmhyjUarB4EiWwuzZ/P0mz6c0ww8Ali5122DDa+sP4UyRyaE5DADmjInnFjgiIqpBmzLCDvjmm29sn7dp0wb33ntvg8ePHTsWUVFX73r+97//1WxtTYLSOzsAcOqUdCeV7GK2CLz87a+4XFp/TQO6qrCsCi+s2ufqZbivsDDHfj9375ayHIg8WVISUO2mhyzvvOOWQbkykxkf/nzCoTl8vQx4n1loRERUB10FHMrKyrBp0ybb45EjRza6PcLHxwcjR460PU5OTkZ5uWfug9ecI9kNQUHAjh0sKmenxIw83LTwR3ybrjC400StO5CHOaszkHo8n9kOcgUHAz/9BDRrpnwOZjmQJxMCeOEF5eNzc90u6J6YkYfr5yU5PE/f2DAGG4iIqE66CjgcPnwYFRUVtseDBg2ya1z148rLy22FJEmm8nLl2Q3t2wMdO6q7Hg9jtgikHs/H/LWHMHFlOs4VVzQ+iK7xaepJPPzhTvR5dRPeSjnKwIMct9wiba1QKifH7d5QEdmtogL4/XdlY9u2Bfbscauge2JGHiauTIfJ7PhzaFyrQBVWREREnkhX1RUPHTpU43Hnzp3tGlf7uMzMTPTu3Vu1dTUZKSnKx164wLZ5DfD0LhSucLmsEv9OOYZlP/2OZ2/tiClDOnPvsD3atVM+9o03+DtOnstgAJo3B4qK5I+tqAAiItRfk0bMFoG5azJVm2/G6HjV5iIiIs+iqwyHEydO1Hjczs4L4/bt29d4nJ2d3eDxFRUVKCoqqvHR5AkBzJ+vbOzatW53Z8eZrF0oGGzQRqnJjH+nHEOfBZuQmJHn6uXoX2Cg8t/VuXO5pYI8l58fYDbLH/fQQ8C+fW71GvjO5mM4W6TOa9Kw+Ag08/NWZS4iIvI8ugo41H7jHxoaate4kJCQGo+Li4sbPH7hwoUICQmxfcTExMhap0cymYBaAR+7VVS4Zc9xLVm3T3y/LxczvmcXCme4XFqJiSvT8dhHO7H8599hqrK4ekn6VFKifFtEVpZUVI/IE732GnDlivxxR45IWyrcRGJGHv6dckyVufq2D8WHT/RTZS4iIvJMugo4lJSU1HjczM7iZrWPayzgMH36dBQWFto+cnIc7z3t9oxGYNEiZWNff513PatZ++sZ3DA/GQ9/uBMvfb0fBVfYhcKZtmfl49X1h3HdrI2Y8mU6Vu/PZZHJ6oKDgX//W/n4GTP4+06ex2IB5sxRNtaNikVaWzGrwccL+PrZm1SZi4iIPJeuajhUVtZ8Y9ZYh4r6jqs9T21GoxFGN0p9dAohgFmzlI21XmzxZ4qnP9uNTZnnXb0MAiAgdbVYd0DaZhEV4o85Y+JZSV0I4IsvpP3qSgIH+/ZJ7TFHjFB/bUSusmCBFHSQa+pU4O9/d5vXv3c2Z6nWivmGmFDWzSEiokbpKsMhICCgxmN721vWPq72PGSH8nLg7Fn54zp1AnbvdpuLLS29tv4Qgw06lldYjokr01nnwWQCTp1yLEth1ixmOZDnsFikgIMSGza4zXYKs0Xg3a1Zqs03oGML1eYiIiLPpauAQ2BgzbZKpaWldo2rfVxQUJBqa2oyNm1SNq6oyK0qc2ulzGTGhz+fcPUyyA5/+eZX7Mi62HS3WBiNUpAwNRUID1c2x549UpYDkSdYvx5oJDOyXidOSHWM3MCbKUdUrW1zU6eWqs1FRESeS1cBh1atWtV4nJdn353I2se1bMkXQVmEACZNkjfG319qkZee7rHZDdbCjw3VADBbBN5KOYr4VxJdsEJSotRkxqMf7cKgRZubbrZDTAwwcCCwfz+wdauyOZjlQJ5ACOCvf1U+PixM2p6kc4kZeXh783HV5gtr7ouBzHAgIiI76KqGQ9euXWs8PnnyJHr27NnouJMnT9Z43K1bN1XX5fHKy4EzZ+SN2bsXiPfcvtuJGXmYtzazRivL2jUANhzIwz/+dwAlFVWuWiY54GyRtMXivUcSMLpXE63rEBMDZGYqG3vwIGu3kPtLSgKOKejY4O0N/Pyz9Duk898Bs0Vg2v8OqDrnwrE9Wb+BiIjsoqsMh+7du9d4nJ6ebte42sfFe/AbYU0sWSJ/TGys+uvQicSMPExamV4j2AAAZwvLMemPGgCvrc/E5C/TGWzwAM99mY4NB2QG3DyFEMDs2crGVlQAdhb2JdIlR4olN28OJCS4RUvoX45dxOUy9V6rXhzamcV3iYjIbroKOMTExKBTp062x9u2bbNrXPXj4uLiEO0GFwC6YbEAr74qf5ybtACTy2wRmLc2E3Ulilu/9pdv9uPDn7OduSzSkAAw+ct9TXN7hbWApFJKnjuI9GLjRmlbkRLt2wN+fqouRwuJGXmY+MVe1eYL8PPC80M7qzYfERF5Pl0FHABg7Nixts+3bt2KU41cDJ86dapGwKH6eLJDcbGyglducKGlRFp2wTWZDdUJAKUm9YpukX68sGqfqgXV3ILRCGzfLu1DV+K115S1EiRyNSGAl14CzGZl4y9c0H3gfcOBPExcmY4rJoV/xzrc2iWCWymIiEgW3QUcnnzySXh7ewMALBYLXm3kDtr8+fNh+eOC19vbG08++aTma/Qo/v6Ar6+8MQaD8oreOne+2L5WrOR5KqoEes1NanqZDnFxQFoaEBIif2xVFbBwofprItJaUhJw9KiysZGRum8HveHAGUz5yr5tqXJ0asW240REJI/uAg7dunXDuHHjbI8/+ugjfPTRR3Ueu2zZMixfvtz2ePz48dcUnqRG+PrKCx506ADs3AkEB2u2JFeKCPJ39RLIhcqrLJi4Mh3z1x6qtzOJR4qLAw4cAGp1CrLLK68wy4HcixDA1KnKx1+4oOx3xUkSM/Iw+ct90OLp68aO7AJGRETyGIRQ1tdswYIFWLBgwTVfr6ystGUcAICxjjsAjz/+OD788MN657548SIGDhyI48evtnC6++678dBDD6FNmzbIzc3FV199hXXr1tm+HxcXh9TUVEUtMYuKihASEoLCwkIEe+gb6XoVFAAtZLS2Cg4Gzp/X9Z0dR5gtAvGvJKKiqaXWU51qdybxaImJwKhRysaOHw988omqyyHSjCP/1wHpNTM3V5evg2aLwM2LNze4NVCp0Oa+2DtrmEu3VDTp6zUiIjeluMR4VVUVKuzY+1/XMZWN3FFv2bIlNm7ciBEjRiA7WyrOt2bNGqxZs6bO42NjY7Fx40ZFwYYm77775B0fFuax9RsA4N53tzPYQDZ5hVLrzFE9WuOxAR0wsFMLz9y/LAQwc6by8StWAB99JLUKJNIzR7MbvL2lLD8dBhuAxusQOWIRW2ESEZECuu1p1rlzZxw4cAAzZ87EihUrUFRUdM0xISEhGDduHF577TUEBga6YJVurqoK2LpV3pjcXKnIpL/nbT2Yv+YQDuRe+/+sqTJAKpL50h2d0aFlAFoGGgEBXLxSYfv8fHE5Cq6YsD3rArYeuVhndw9PsDHjHDZmnENoc18sGtvT8zIeTCbg9GnH5vjhB/kBTCJnSkkBnnoKyMlRPkdAABATo96aVKZFHSIDgHcf6e15z3tEROQUirdUOFN5eTm2bduGEydOID8/Hy1atECHDh1w22231bllQ64mm6I3Y4b8gm+tWkkXazq9u6PUhgN5mPyl+gW2nKlPu1B0jQpGuakKm387j0sO9l2Xu53AVGXB56kncCK/FIBAr7YhKCqvQnigEZ/uyMb+04UOrUdP3nukN0b3auPqZagrJ0eq4/DnPwNnz8of36aNFLQw8A4o6ZAQQP/+wJ49js3Tsyfw66+6/X+eejwfD3+4U9U533skAaN76SPY0GSv14iI3JhbBBy01iRfwCwWwMdHugizV2Cg1LO8UyfNluUKZovA9fOSUVLh2Bt0V4oK8cf2l4fY0l3NFoG07AKcLSxDwRUTwgONKCipwKvrDzc615Tb4zAoriX6x4arlj6rxUWwK3kZgHce1s9FuGoqKoD27YFz55SNf+01KZBJpDdJScDIkY7PExkJnDih26C72SIwaNFmnC1SJ9NhVI/WeP+xvqrMpYYmeb1GROTmdNelgpykqEhesAGQshs6dtRmPS608/d8tw42GADMGRNfIzjg7WXAjZ1a4N6EaEy4pSPu7d0W4wfFIirEH/WFEAyQAhcvDeuCG1WuVdA/NhxRIZ6zDccigMlfpnteC02jEdi+XarVosScOexYQfojBDB7tuM1Rrp1k1rI6jTYAEjP/X07KPz9rUOnVkGqzUVERE0TAw5NldzaDYCUcm1HoVB3s3LnSVcvQbGoEH+8/1iCXdsevL0MmDMmHgCuCTpYH9cOXKjFem59JiErN29tpue1zoyLk4riKVFV5Vj1fyItJCcDu3cDZrNj8xQUABER6qxJI2aLQGKGgi1R9bixk4wuVkRERHVgwKEpEgJ49ln548LCdLtvtTFmi0Dq8Xys3p+L1OP5tjeJiRl52KjixZkzhAf4YsKgDvjq6YHY/vIQWYW8RvaIwvuPJSCyVrZBpIzAhVLWc9fOdAhr7qvZObWWV1iOtOwCVy9DfZGRyn/Xk5OlwAORHqiR3XD//cCGDVL9Bx1nN5gtAn/9Zh+qVAqChjX3xcCODDgQEZFjdNulgjS0fj1w/ry8MW+/DfzpT7q+2KpPYkYe5q3NrNEqLDzAD/Pu7o7ZqzNcuDJ5ptzeCYPiWjlcW2FkjygMi49EWnYBzheXIyLIX9V6DUrOvSnz7DX/Rv6+XrguIhC/6rxzSN7lMiz/+XecLChF+/DmePzGDvDzcfNYbnAwkJoKvPKKFECQa+RIqSMAkatZsxscsXcv8M03ug64J2bkYdp3B3G5tOG243IsZBtMIiJSAYtGookVIRIC6NwZOH5c3rh+/YBdu3R9wVWXxIw8TFqZ7tbtGg2QMhCqF4X0RNZCl7WDIBsOnMHkL/e5enl28zIAT98Si+mj4129FMdYLFKh2LIyZeMrK6XCtESuIgQwYIAUMHCktoiPD1BcrNt20IkZeZi4Ur0uS4FGH7zx/3rpsg1mk7peIyLyELwabGqSkuQHGwCpfoPJ5FYZDmaLwLy1mboNNvSOCcFfhl2HXdn5OH7hSp1bO7SuraAn1kKXtY3u1QYfeBkwd02mapXXtWQRwLKfsgHAvYMOJSXKgw2A1IIw3b1bzZKbM5mAU6ccL2QaGqrbYLvZIjB3TaZq8/l6GZA+e5j7Z2kREZFuMODQlAgBTJ0qf9ymTUDXrm4VbACAtOyCGin6euHrZcC/H7gBd93QBgBwS5dWAOre+hEZ4o85Y+J1eafJmapvxdhw8Aw+33nK1Utq1Ic/Z+Ovw7u674V7cDDw00/A8OFAuYLfo337pCwHX/et0UFuzmiUukr06QNcvCh/fGws8M47QK9eun39S8suUDUQ+9ZDN7jvcxYREekSAw5NSVIScOyY/HE336zbVNKGnC/WX7ABAFY82R+DOre85uuurK3gDqpnQLhDwMEigM9TT2DCLW7cSvbmm6WuFRkKa52MGAFs3qzumojkOHRIWbABAEpLgaFDdRtsAIBNmeoVPX76lliM7tVGtfmIiIgABhyaDiGAP/9Z+Vg3FBGkvyBJVIg/BjbQZqy+bQV0Vf/YcESF+Osye6W2bUcvuHfAwWSSX2C2ui1bpI4VrOVArqA0q8/qjTd0HWwwWwR+2H9Glbk6tmyOmXe68RYwIiLSLebNNRWJiUBurrKxJpO6a3GSS1cqXL2EazSFWgxa8/YyYM6YeLjDT/GnYxfxVsqxa9qxug2jUWoFuHat8qDBnDnqronIXklJQFaWsrFeXsDSpboOuKdlF6Dgijqvz73ahqgyDxERUW287dQUOHKXx8tL13d46qO3zgahzX2xaGzPJl+LQS0je0Th/ccSrql5oUf/Tjlq+zzKHWtyxMQAISFSpoISixcDr74qPZcQOYsQwMyZysdbLLovlpx32YGirrW0DWuu2lxERETV8QqwKaioAE6cUDY2PFy31bnrYrYILEk6optggwHAi0M7Y++sYe71JtMNjOwRhe0vD8FXTw/EqB6tXb0cu5wtLMeklelIzMhz9VLkCQoCrrtO2VizWcqQIHKm5GTHuqTEx0sFJ3UabACA9FOXVJvrpk7X1hUiIiJSAzMcmoJt25TdnQwMBHbu1PUFl5WpyoIZ3x3AD/tzUeVgBzQ1vf1Qb1s3ClKfteZF/9hw9FmwCZdLK129pAZZk7Pnrc3EsPhI99leYzIBBQXKxz/2GFBU5FbBS3JjQgCzZjk2R0EBEBGhzno0kJiRhy93qVM8t7mfd4O1hYiIiBzBDAdPJwQwe7ayC/2wMKCj/gveLdyQietmb8S36foKNjx7ayyDDU7i7WXAorE96/yeHt/i5hWWIy3bgTfwzmY0SgUglSopkSr+EzmDyaSsI5PVkiXA7t26DbYnZuRh4sp0qPVy9+ytndwn+ElERG6HAQdPl5wsXTgpKXyVmyttx9Ahs0Ug9Xg+JqxIw7KfsnVV1ys8wBfvPdIb00ez4rczjewRhQ8eS0BUSM3uJJEh/nj21lgXrap+arazc4q4OKmWg1LPPqveWoga4ucHVDqQ7fTFF0DbtuqtR0Vmi8DL3x5Qdc5Jt3VSdT4iIqLquKXCk1mzG5TSaf2GxIw8XRULNEBKlX9qUAcMi49E/9hw3i1ykZE9ojAsPhJp2QU4X1yOiCB/279H73ZhmLvmEM4W6SOItnr/Gcy80426lhiNUvCySxdl47/4Qup48c47wB13qLs2ourWrXMsoyY3V7fFIv/fB7+gsFxhAdd67D15ie2YiYhIMww4eDKTCTilcI/nDz8Affro7oIrMSMPk1amQ0cJDYh0x84DHsxa16G26sGIs4VlmPH9QZRVum4PTv4VE9KyC9zrQt/RPe1HjgAzZgBDh+oymEkeQAjg4YeVjd26VSqQGhGhu9c+APjzp2lIP3VZ9XnPF+sjeE9ERJ6JAQdPZr0j+e23wF/+Yv84gwEYMQLw92/8WCcyWwTmrc10ebDhvUcSEBbgd80ddNK/6sEIo483Jn/pQBV7Fbjdhf7OnY7PsXu3tNVrxAjH5yKq7bXXgCtXlI3t3RsIDlZ3PSpZt/8MUg5f0GTuiCB9vdYTEZFnYcDB00VHA59/Lm+MEMpqPmgsLbvA5dso3nskAaN7MZPBE4zuFYVnT8di2U/ZLltDywD93UWtl3WLlpcXYHEwM2T2bGD4cGY5kLosFuXbCBcs0G2wwWwRmP7DQU3mjgw2on9suCZzExERASwa6fmSk4F9++SPM5nUX4uDXH03eOkD1zPY4GGmj47H+Jvau+z8r6w+iB1ZF2G26C/Adw3rFi1Hgw2AlOWwaJHj8xBV99RTysd++qkuA+2AFGwvVrlug9Xcu7szQ4+IiDTFgIMnU9qLPDxcd9spANemfQ6Lj8DdCdEuOz9pZ0R31wWRjl8sxaMf7cL185Kx4UCey9ZhF+sWrb17pb3ujlqwQJ3gBREALFwoBQ2Uys7WbVemZdscaPFZj9DmvvjgsQTWHiIiIs0x4ODJlPQiDwoC0tJ0WTBr82/nXHLe269rhQ+f6OeSc5P2+seGIyrEH668x1dSUYXJX6Zjypfp+s52iIkBEhKAchWyjUpLpTeJRI6yWJQF16sLDdXlFp/X1mdi69F81eabNLgjvpgwAHtnDWOwgYiInIIBB0/m5ye/l3hqKtBJfz251+3PxYc/u2av/TO36u/nQerx9jJgzph4AHBp0AEA1h3IQ8KryUjM0HG2g6Ptdqt7/XVmOZDjXnvNsf9HQUFSQVSdBdo3HMhT9XWvd0wIXh7VDYM6t+Q2CiIichoGHDxZcjKQmWn/8aGhQFycZsuRy2wRSD2ej3lrD2HKqv0uWUNUiD8LajUBI3tE4f3HEhAZ4vqtRIVlVZi4Ml2/QQdH2u3WVloKbNigzlzUNFkswJw5js3RsiXQsaM661GJ2SIwU+VCkX8b3lXV+YiIiOzBLhWeSgip370cjz2mmzs8iRl5mLc206VdKQwA5oyJ552gJmJkjygMi49EWnYBdmRdxDtbsly6nmn/O4AhXVvDz0dncWGjEdi+HRgwACgocHy+sWOB9euBYcMcn4uajpQUYOpUqd6Qo8Uec3Kk+g06ql304qp0XCqtVG0+o48XBv7REpiIiMiZdHYlS6pJTgbS0+WN+c9/dJHenJiRh0kr010abIgK8cf7LKjV5Hh7GXBjpxbo3DrQ1UvB5bIq9JqbpM9Mh7g4YP9+aQtW8+aOzVVZCTz3nG47BJAOWQPqhw8r68JUm87qNyzckIm1B86qOufEwR0ZPCciIpdghoMnUtqdwmQCiouBkBD112Qns0Vg3tpMOPutR3M/b/TrEIa7e7VBm7Dm6B8bzouzJsyVHVGqK6+yYOLKdH1Wk4+JAaKjpZovBx1M/T52DEhKAkaOVGdt5NmSk6WOKY4KDgY+/1wqhKqT7D5TlQX/Ublekb+PF6YO7aLqnERERPZiwMETmUzA0aPyx4WGujyldOfv+U7PbLg/IRqL7+/FAAPZWDtXnC0sd3rwqy5z1xzCsPhI/f0fNZmAsyrdiZ05ExgxQld3mkmH1Cpa+sMPQJ8+UtBMRz795YTqyT6PDminv+cOIiJqMrilwhP5+QFeMv9pg4OBPXtcepcnMSMPk7+QuQ1EBbd0YcVuqklPnSsA4GxRBdKyVaiXoDajEdixQ/7zTV3S06U710QNUSO7ITxcyqbRWbDBbBH4Ku2k6vPeER+p+pxERET2YsDBE23cCFy+LG/Mzp0ubYeZmJGHiSvTUVimXpEse+klfZ70pb7OFVEh/njvkd5o7uft1PXkXS5z6vns1q6d9AZODbNmsZYD1U8IqVCkI4KDgbQ03WyhsErMyEOfBZvw+8VSVedlpyUiInI1bqnwNEIATz8tb8y2bUC3btqsxw5mi8C079Rt/2UvXoxRQ6p3rjhfXI6IIH9bfQ8vLwMmrnReRs7uk/kY20dfd2QBSG/cUlOBfv3kBzpr27NHuoM9YoQqSyMPk5SkbLtgdampLg2u18VaKFmLUBs7LRERkasxw8HTJCYCZ87IG5Ofr81a7LTz93xcVrH9l73Y9pLsYe1ccc8NbXFjpxa2/y8je0ThnYd6O20dO4+79ve0QXFx0l1jNUyZwiwHupYQwAsvODaHlxfQsaM661GJloWSnxrUQX/FZomIqMlhwMGTKMluAIDXX3fpBX6qC95Ise0lqeGuG9rg6VtinXKu7PwyLNyQ6ZRzKRITo07Bx6wsoKLC8XnIs1RUAL//7tgcOgxkpWUXaFYoeRhrNxARkQ5wS4UnSUwEcnPljztxQqo274I9rWaLwK7fLzrlXJMHd8J1UUE10uKJHDXzznh4GYAPf86GReP3M8t+ysb10WEY3UuHgTKDAQgKAoqKHJ9ryxZg1CjH5yHPsW0bUFXl6lWo7nyxNsEGbhckIiK9YIaDp3Ak3XTTJpcEGzYcOINe85Kw++Rlp5zvli6trkmLJ1LD9NHx+O3VUZg5uht8NP6/9Y///Qqz1pENJfz8gPbt1Zlr9GjpeYkIUK8Vps5arpotAueL1M/m4XZBIiLSEwYcPEVFBZCdLX9cdDRw/fXqr6cRr63PxOQv9+FKhdkp5+PdHtKan48Xnr61I5Y+dIOm5ympMOOXLOdkBcliMgHnz6s336hRDDoQkJIiBbIcbYUJABaLlCmhA4kZebh58Wa8tuGwqvOGNPPhdkEiItIVBhw8hcEANG8uf1xlpfRGwYleW5+JD39WEBxxAO/2kLOM7qV9XYdxn6Rh/tpDSD2er59sB6NRelO4dy/wySeOz2c2A+PH63LfPTnJpk3AmDFATo4683l5SZkSLv4/Ze1KoUXthvce6cNgAxER6QoDDp7Czw+IknmRYb1r5MTtFBsOnHFqsMFgAN57hHd7yLmGdG2t6fwWAXy84wQe/nAn+i7YhA0HZHam0UpMDJCQALRooc58Z85ItWmo6RFC6lhSruKbcotFCl44OchendkiMHfNIU26UoQ288XATir97hEREamEAQdPYTLJ709eVgZERGiznlrMFoEdWRfx0je/OuV8Vu8+3FufBfbIo2lVCK4ul0orMfnLffrpYCEEMG+eevM98IDL70iTCyQlyX9Nq09oKJCaKmXfODnIXts7m7NwVoO6DQDw5KAOzOQjIiLdYZcKT+HlJe+ifOpU4O9/d8qFV2JGHuatzdSs9Vd9XrqjM0b3auPUcxIBQESQv9PPqZsOFiYTcPq0evOVlAAbNgB33qnenKRvjhRBrs7XF/j+e6lOUXS04/M5KDEjD/9OUSmIUktzXy9MGdJZk7mJiIgcwQwHTzFnjrzjt20D2rbVZi3VaLlXtSFRIf68+CKX6R8bjqgQfzj7XuOs1Rmur+lQvZbD22+rM+eDDzLLoSlRK7uhshK45RZdBBvMFoF5a7XLQnp2cByzG4iISJcYcPAEFgvw1lvyxpw+rfk+VusFljPfJhjAlmDket5eBswZEw8ATg06FFwxIS27wIlnrEdMDNC7N/Dpp+rMd+WKlOVAnk8IKQNPDZ07A0FB6szloLTsAs0C777eBkwZEqfJ3ERERI5iwMETbNgAlJbKG/Paa5pvp9DyAqs+kSH+bAlGujCyRxTefywBkSHO3V6RknnWqeerl8kEnDql3nyPPcYsh6YgKQk4dkyduYqLXVogsjot67o80j+GAXYiItIt1nBwd0IA8+fLH7dsGfDMM1IbB404q3De9FFdERnij4ggf/SPDeeFF+nGyB5RGBYfibTsApwvLkdEkD/OF5Xjha/3a3bOVXtyMONOHWT4GI3Anj3AwYPA+fPAk086Nt/ly1KhWyXtf8k9qJXdcP/9wPTpUlFkFxaIrG5T5jnN5h7Zg7WKiIhIvxhwcHdK7yKeOCGN1fBizBmF85r7eePPt3R0/Zsronp4exlwY61WdcmZZ7H+oDaZCFcqzPgl6yJu6dJKk/lliYmRPioqgL/9DcjPd2y+du2AVauAO+5QZ33keikpUpBh6VLp/4ka2Q1790pbejQMqMux4UAe1h3I02TuqBAp0E5ERKRX3FLh7oxG4PXX5Y9r1w7w81N/PZBqN6Qez8d/fjquyfzVje4RxWADuZ2lDycgwM9bs/nHf5KGDRq9wVHEaATS04HISMfmyc8HxowBNm1SZ13kWkIAM2YAhw9LGQkvvqjOvCdPSsELHTBbBGb+cFCTuVmviIiI3AEDDu5OCGWV4M+d02Rva2JGHm5evBkPf7gTW45cUH3+2gbFtWj8ICKd8fYy4F8PXK/Z/GYBTP4yHc9/udf1XSusIiKkrRWOKi8HpkxhPQdPkJwsdTQBpO03WVnqzKuTzAYA2Hk8H5dKK1WfN4r1ioiIyE0w4ODuTCbp7pC9/vY3Kd10927Vt1MkZuRhopNbYEaGNHPauYjUNLJHFN57JEHTc6w9cBZ9FmxCYoYOsh0MBiAsTJ25jh6ViguS+xICmD0b8NYg0yc8XBdBh8SMPDz56W7V533pjs7Y/vIQBhuIiMgtMODg7nx95WUqbNki7W1VuS+52SIw7Ttt0kbrExls5N5Vcmuje0XhrQdv0PQcl0srMWlluuuDDtZtFZ06qTPfn//MLAd3Zs1uMJvVm/Pll6WAenq6y4tFWgPwpiqLanM29/PCB48l4IU7unAbBRERuQ0GHNzd2rXyLrpzcjTZSvHO5ixc1iBttCFz7+7Oiy5ye3dd3wY+Gj8TCwDTvzvo+u0VrVsDJSXqzJWbCyQmqjMXOZda3Shq27xZk4C6XGaLwNw1marOafQ2YP8rI5jVQEREbocBB3cmBPDXv9p/fOvW0j5Zle/8mC0Cy5xQINIqtLkvPuDeVfIQadkFUPEmaL0ulVbinc0qdABwhNEo3dVOTQWCgx2fb8IEZjm4o6QkaVuM2jQKqMv1zuZjOFuk7tbCtx7uDT+tI5NEREQa4KuXO6uoAH7/3f7jL14EWqnfKu/tH4+h1KRiWmw9ro8OwRcTBmDvrGEMNpDHOF/svJonn+w44fosh5gYYOBA4JdfHN9nn5fHLAd3IwTwwgvqz7ttmya1ieRKzMjDv1PUDew9NagDX/OIiMhtMeDgziwWeXf3NLgTmJiRhzd/dM5d02mjumFQ55bcRkEeJSLI32nnulxWibTsAqedr0HduwP/+pfj8zz2GNCtG5CS4vhcpJ2UFCA+Hti4ETiuckbchAnArbfqYivFtP8dUH3eoV1bqz4nERGRszDg4M6uXHHp6c0WgXlr1d2nWp+oEH8WiCSP1D82HFEh/nBWGO1sYZmTztQIIYDPP3d8noIC4LffgBkzuL1Cr4SQ/n0OHwZefFHdQpEA8OWXUgDexd7ZnIXLZVXqT8wYOxERuTEGHNyZ3BZzLVqo2iosLbvAKS0wDQDmjIlnZgN5JG8vA+aMiQfgnPcVF0tcv8cdgLTX/vRp9ebbvVvqfGC9k86MB/2wdqQAgGMaZMRVVKhXjFQhLWsZXSyp0GReIiIiZ2DAwZ19+619xxkM0n5plVuFpWSeVW2u+kQGG/E+C0SShxvZIwrvP5aAyBDtt1esSjvl+joOgPRctHixevN5eQGzZgHTp0t30pnxoA9CALNnA97e6s7bogWwcqX0sXOnOkVIHaBlLSNnbrsiIiJSm0EIXpEVFRUhJCQEhYWFCHbxRYvdhAAiI4Hz5+07vqwM8FfvosXaY1xLL93RBVOGxDGzgZoMs0UgLbsAKZlnsXzHCc3OE+DnjX89cL1rA3lCAAMGSJ1ztHoZSkwERozQZm6yT1ISMHKk+vP6+ADFxaq+rim14cAZTP5yn+rzGgBEhvhj+8tD+Dr4B7e8XiMiauKY4eCuEhPtDzYAqu1vNVsEdhy7iGn/O6jKfPWZenscXrijMy+yqEnx9jLgxk4tMHtMd7wwNE6z81wxmTFxZTo2HDij2TkaZTIBp05pF2zw9pburDOm7jrW7AYvDS41wsJU3SKoVGJGnibBBituJyQiInfHgIM7EgJ47jl5Y1RoHbfhwBn0e20THl2+C5fLKh2erz4BRm+8MKyLZvMTuYOpQ7sgtJmvpueY/OU+/PWb/TBVuaDgntEIbN8OhGtUDNZsluoGLFqkzfzUOGvtBrULOoaEAKmpLm+BaaqyYPp32gTfuZ2QiIg8BbdUwA1T9MrLgWbN5I3p2xdIS1N8R2jhhkws+ylb0Vi5PuBFFhEA52xdAqTU7WdujcX00fGan+saOTnAhQtS4b+bb1b/zanRCJSWanOXneqn5ZaZ/fuB669Xd06ZEjPyMP27g7hUqk3w/Ys/D8CguJaazO3O3O56jYiImOHglqoUtN3KyZFSmBXYcCDPKcGGqBB/BhuIqhnZIwrvPdIbWmdUCwDLfsrGwg3OaXNbQ0wMkJAgfWiR7VBRASxcqP681DCttsysXu3SYIPZIvBWyjFMXJmuWbABYGcKIiLyHAw4uKOnnpJ3/Pz50l0mBemnZovArNUZssfJcUNMML56eiC2vzyEwQaiWkb3aoN3Hk5wyrn+83O2a7ZXANLz09at2sw9f76UOcGWmc5jNAJPPKH+vDfeqP6cdkrMyMOgRT/i3ylHNT8XO1MQEZGnYMDB3ZjNwH//K2/MmjVA27aKTpeWXYCCK8oyI+zh623A/ybdjBs7tWBhLKJ6jO4VhQ8eS0CUxm0zhQCm/++ApudoUFycVAxQbSYTsG6d1CqTLTOdw2IB/v1vdedctQpo1UrdOe2UmJGHSSvTcbZI+8yD8ABf9I/VqLYJERGRkzHg4G5++EH+GAe2U5wvLlc0zl7P3ca2l0T2GNkjCttfHoJ7b2ij6Xm+25eLDQfyND1HvYxGqdaMFlsrJk2SChgC0p/Jyeqfg6566ill2//q4+UF3HOPevPJYLYIzFubCWeFqBbc04Ovi0RE5DEYcHAnQgB//7u8MV5eUiV4hdW8tUzrbO7nheeHdtZsfiJP4+1lwP19YzQ9hwAw+ct0JGa4KOgQFwfs3Kn+vGfOXC0cyZaZ2klJkbIQPv1U3XnDw13WBjMtuwB5hdoG362evTUWo3tpG1QkIiJyJgYc3ElFBZAts3hjeLhUlE0Bs0XAIgSa+2rz32TJAzfwLg6RTAM7tkBoc23bZQLA3DWHYLa46A15RIQ281o7YFhbZjLLQV2bNgFjxgAXL6o773//C+zb57I2mFpn+gFAiwA/vPdIgms6xRAREWmIAQd3smWLvOO//FLxRVpiRh5uXrwZj360C6WV6haR8/f1YjcKIoW8vQxYNLan5uc5W1SBdzZnaX6eOvn7a7OtojpmOahLCGDKFKlts5p++gm4/34gOlrdeWXIvnBF0/mfu60T0mbegdG9+JpIRESehwEHdyEEMH26/ce3bw889JCiizRrcSytUkj3zR7OYAORA0b2kIpIhjbTNtPh3ylHMX/tIaQez3dutoPRCOzfL3XXidLouYJZDupatAg4qkH3htJS9eeUYcOBM3jzx2OanuPmzq2Y7UdERB7LIARv7xQVFSEkJASFhYUIDg529XLqVlEBBAbaX4SrWTPg0iXZ2Q1mi8DNizdrFmx49tZYpowSqcRsEZj6VTrWHzyr+bmiQvwxZ0y8c4OF5eXS857ZrM38Xl5Anz7Arl0uqw/gEZKTgREj1J/XYAD69nXZv8+GA3mY/GW6pueICvHH9peHMOBgJ7e4XiMiohp0meFw4sQJGAwG2R+RkZGuXrp2fHzkVfyurAR85d/91LI4VreoQAYbiFTk7WXAu4/2wYSbYzU/19nCckxa6YJiklq+0bRYHOri06SkpADx8dKf1QkBPPKINucUwmX/PokZ2gcbAGDOmHgGG4iIyKPpMuBAdfjuO3nHV1UBxcWyT7MpU7s7pfcnaFtdn6ipmn1XPCbc3F7Tc4g/PuatzXTe9gqDAQgN1fYc/v7Azz9rew53JwQwYwZw+LD0Z/XEyI0bgfx89c/ZrZu0pWb3bqcXizRbBP7yza+aniO0uS9rGRERUZPg4+oF2OPWW29Fs2bNGj0uXOsiY64iBPDyy/LGBARIF9IymC0C3+/LlXceOxkAPH5jB03mJiJg9l09cLawHOsPntP0PHmF5UjLLsCNnVpoeh4A0hvNvXuBUaOkN7ta7AA8cUKaf8MGYNgw9ef3BMnJ0ht/QPpz0SLggw+AoiLg8mVtzllQAPTo4ZLOFG+mHEGpSaNtPABeHNoZzw/tzMwGIiJqEtwi4PDpp5+iQ4cOrl6G6yQlyW+HGR0N+PnJGpKWXYBLpZXyzmOnO3tFwc+HCTVEWlr6cB9sO5qEkgrt3iwBwNki7dsE2rRuLd1B17LcUFUVMHmyVPSQtRxqEkLq5uHtLdXS8PYGXn0VKCvT7pz//S8wcKBLMhve2ZyFtzcf1+wc7z3SG6N7tdFsfiIiIr3hO0C9EwKYOVP+uHPnZO17NVsEdmRdkH8eO/j7eOGth3prMjcRXeXtZcA/77te8/NcLK7Q/Bw2RqN0V33vXiA1FQgJ0eY8WVnSnfv6ahU0VdbsBmvhTrNZu2BDUJC0vcUFbTA3HMhD3wWb8O8UDTpt/IHBBiIiaorcIsOhSTOZgFOn5I9r397uDIfEjDzMW5upWbHIJQ9cz9RRIicZ3SsKT+fE4sOfZWZFyXCp1MlF/GJipA8A+PVXIC5OXhFde82cCSQkXK1VMHRo0854qJ3doKVt24COHZ0eaACAhRsysewn7X5frMICnL89hIiIyNWY4aB3RiMwfrz8cXZmOCRm5GHSynTNgg23dWnFOzpETjbzzng8fUsHzeY/fkF+QVrVrFypTbABkN5g790rfW6tVdCU1c5u0ErXrsAtt7gk2LDhwBmnBBsA4HyxE7ciERER6QQDDnpnsQBvv23fsT4+wEcfSRfMdlT2NlsE5q45BC3rzT87uJOGsxNRfWbe2R3jb9Smc0XyofPYcMDJ7TEB6fnw9dedd75586RzNkVCALNmOedcBQUuaX1ptgjM/CHDaeeLCJJXyJmIiMgTMOCgd+vXAxV27pf28QGefFJKCbbjTtE7m7Nwtki7vdhRIf7oH+uhnUOI3MAIjVruCQCTv0zH/LWHkHo833ltMjdsAEpLnXMuQHrunTDBeedTmyP1KEwmaWuJM/zrX04rEGm2CKQez8fq/blYsSNbs0LJtfH1kIiImiqDEFqW/lbmxIkTiI2NtT1+4IEHcPjwYZw6dQqlpaUICwtD27ZtcdNNN2HMmDEYPnw4DA7ssy0qKkJISAgKCwsRHBysxl9BHUIAffsC6en2HW8wSC3K7Pg7JGbkYeJKO+dVwADgffYYJ3Ips0XghvnJKC7XaAvCH6JC/DFnTLy2v+9CAAMGAHv2aNuxoi6JicCIEc49p6OsP6/du4F+/YBdu+yvR5GSAkyZAhw/rt32FSuDQXqdk7M+hbSuV9SQD/h6qArdXq8REVG93CLD4ZtvvsHBgwdRWFiIyspKnD9/Hvv27cO7776LkSNHomfPnkhNTXX1MtVnMgGZmfYf7+cHBAY2epjZIjBvrYx5ZYoMNjLYQKQD3l4G3J/QVvPznC0sx6SV6UjM0HCbhbWAriti5CNHAmFhUjFed+leYa2/AEh/JifbN04IqWDmkSPaBxus58vJ0XxLhdb1ihoyYVAHvh4SEVGT5RYBhxYtWqB///4YOnQoBgwYgJYtW9b4/qFDh3Drrbdi+fLlds1XUVGBoqKiGh+65OMDlMu4OKqoAEpKGj0sLbtAs4uu+xOisWPaUF5cEenE8O7a/y6KPz7mrc3UbntF9faY1o/164EVK+wKtDrs8mUp4PHcc/pvm1m9uwQg/Tl7dt3BmtrbLhYtuhqo0IrBcLXekJ01hxxhDbK7Kp3zjvhIF52ZiIjI9XTZFtNgMKBv37548sknMWrUqBrbK6z27t2LRYsW4dtvvwUAVFVV4dlnn0V0dDRGNJL6unDhQsybN0+TtavqtdfkHb96tV3bKbSqlO3v64XF9/diC0wiHekfG46oEH+n3NnNKyxHWnYBbuzUQpsTVG+PWd2QIcCFC0B+PjB8uDbntjp6VPpz+HBg4ULg5Ze1PZ8S1bMbAKnLxO7dUobGxx8Dd9whfV0IKYBy9Kj059KlUmtQrbVoATz2mNPqNuw8nu+SzAYDgEjWbiAioiZOlxkO7du3x+7duzF58uQ6gw0A0KdPH/z3v//F0qVLbV8zm82YMmUKKisbLgI1ffp0FBYW2j5ycnJUXb8qLBb5LdluvdWuw1pq1Av8mVs6MthApDPeXgbMvjPeaec7W+SC1n8xMVKx3AEDnHdOaxbBokXSG+d//vPaYxwp2ujouqzZDdXl5ADTp1/NdEhKuhpAOXoUuP9+52xZ+ec/nRZsSMzIw3NfalevqD7WV8I5Y+L5ukhERE2aLgMOcjz//PN46qmnbI+zsrKwZs2aBscYjUYEBwfX+NCdDRuAsjJNprZodEE5IFaju5pE5JCwAD+nnWvbkfPO7VxRXVAQ0LWr885XWSllBJhMwLRpNeskWGshHD4s/Wl93tU6CGHdEmE21/39PXukY+LjgQceqPk9O7bkqeLdd50S2LDWbbhc5pxOFNVFhvizlhERERF02qVCrt9//x2dOnWyPZ4wYQI++ugju8frruqxEFJV8b175Y27fBkICan322aLQFp2ARZuzMSB0+rXrXjroRtwzw3aF6gjInlW78/FC6v2O/WcTulcUVtFBdCuHXD+vPPOWV3btlIWgcEgZQ+MHHn1e6+/Dnz2mZS9dvSo/M4R9rBYpKBLY61DDQbXFN+0ioiQ6mFoXLehz4JNuOyktpdWEwZ1wB3xkegfG87MBg3o7nqNiIga5fYZDgDQsWNHtG/f3vb4t99+c+FqVGAyAceOyRsTHAz4+9f77cSMPNy8eDMe/nCnJsEGAIgIqv/8ROQ6rvjddErnitqMRmD79rq3EzhDbi7QujWwaRMwderVr3t5AQsWAL/9dnULg5zOEfbasKHxYAPgumBDYCCwfLkUTNd4S8U7m485NdgQ2swHHzyWgNljuuPGTi0YbCAiIvqDRwQcACAq6updtIsXL7pwJSrw85NasMmRnFzvBZwz2oFFsTAWkW5ZC0c68y2QUzpX1KVdO/nPn2q6cAF4+OGrgQVAyjyoHQiwdo7YtEmdLRZCAPPnXxts8XFxbejAQKmTyIYN0vaSp54CoqM1PaXZIvDxjmxNz1HdiPhW2Dt7OLdPEBER1cFjAg6l1S7mmjVr5sKVqCApCTh50v7jmzUDbrihzm85ox2YASyMRaRn3l4GzBnjvMKR1eUVluPlb3/F6v25zqntYDQC6enSXfTUVKB5c23PV5f8/MaPsXaOGD5ceiM+ZowUfKitsZoPKSlS94nWreuu3VBVJX/9asrIAMaNA0aN0jzQYPXO5iwUljnv7z1+UCe+/hEREdXDIwIOFRUVyMrKsj2OjHTjntdCALNmyRvTqZOUFVGHtOwCTTMbAo3eLIxF5AZG9ojC+48lICrE+dsrvk2Xakg8/OFO3Lx4s/bbLKp3rYiL0/ZcaikvB6ZMqbndQQhg/HgpIDF+/LWFJzdtkrpOnDolZVboUbpzO0QkZuTh3ylHGz9QJaHNfZndR0RE1ACPCDh89913NTIcbr75ZheuxkEmk1R0TI6cHGlcHc4Xa9ui7tU/9WSwgchNjOwRhe0vD8HsO7u5bA1Ore1gMgFnz2p/HrUcPSpluFktXCjVhQCkPxMTa3a/ePJJqeuEni1cqHnNCLNFIPV4Pr5PP40Z32doeq7anrwpltkNREREDXD7gMO5c+cwbdo022MvLy+MHTvWhStykNEILF4sb0zbtvVmOGhdLC4ymIUiidyJt5cB4wfFOr2mg5VTazsYjdIb8vXrgX/9S/NChar485+lN+gWC/DKKzW/N2aM9P3du6XH1mCEnjUQEFdD9YLIL33zKwquaHeu2kKb+2LKEDfJoCEiInIR3QUcUlNTMXHiRBw5cqTRYw8ePIghQ4bg1KlTtq898cQT6NbNdXfvHCaElFYrx8WL9V7Q9WmvTfE0A1gokshdVa/p4Kp7s3mF5Vj6oxNS32NigNGjgb/8xenp/Yrk5kpFL/38rq3HYDYDH3/smnXJERYm1c/Yu1cKjmgU6HFGQeSGLBrbk9kNREREjTAI4cpm3NfaunUrbr/9dgDA9ddfjyFDhqBXr16IjIxEUFAQSkpKkJWVhaSkJKxfvx4Wi8U2tnfv3ti6davs3sy66ut85YpU1VuOQ4ek/bx1GPD6JpwrUv+OjwFg7QYiN5eYkYd5azNd9oYNAJ6+JRYz73RSQUshgK5da3aQIHX4+krB8t69gdtvd0onipsXb3bJ/93IYCPm3t2dr38uoKvrNSIisouL+2U17Ndff8Wvv/5q17FjxozBxx9/7P4vQHffLe94Ly+gY8c6v1VYWqlJsCE8wBev38vaDUTubmSPKAyLj0RadgHe25qFn485v6Xwhz9L7QudEnRITmawQSvduknbVgzOueOvdUHk+rwwtDOmDu3MzAYiIiI76W5LRYcOHfDggw8iKqrxN7NeXl4YNmwYVq9ejTVr1qBly5ZOWKGGqqqAzZvljQkJqfcC76kVaSosqqYWAX7YOf0OBhuIPIS3lwE3dmqB27q0ctkaPvw5GxsOnNH2JEIAs2c77Q1xk3PunKa1GmrblOn8YqDP3hqLl4Z1YbCBiIhIBt1lOHTo0AGrVq0CAJw5cwaZmZk4deoUCgoKUFZWhmbNmiE0NBRxcXHo27cvAuVuP9Czb7+VP+bVV+vdH3swt9DBBV1lvbx67d4e8PPRXZyKiBz0+I0d8NqGw9C6jmN9Zq3OwIgeUdq9mTOZpPaR+tpF6P4WLwZ69pQ+NC7KabYIpGUXICXzLD7ecULTc9X29sO9Meb6Nk49JxERkSfQXcChujZt2qBNmybyAv//27vz+Cire4/j38lOQhYISxKWECCKIURBRBFBtCJR2QSuopUCUi4KqLft9RZa27hWwa3ucNFCXcoi5UqxVlBQ0IqCRAQSoCGyhkQgQbJAFjLP/SNlzIQsM5lntuTzfr3yMmc45zm/ZMYzT35zFsOQnn7a+XZLl0qzZl3wqd3ab4+pstq8G+u46DBljE5hZgPQQoUEBWjG0CQt2nzAK/0XlVVp64EiDe4V654OQkNrNjA8caLmqMxTp2oenztXOnrUPX22ZJGR0gcfSCYfQ30+qXC8pFydIms2Jg4MsHh1v5FpVyeSbAAAoJl8OuHQqlRW1hwf5qycnJq2tT5ZqrYamvtXx/a+cMTvbrlEU4dw1jjQ0s27uWYfhcWfHfDKTIf1WQXuSzhINSdWdOv2Y7miQvrVr9zXX0vVrl1N8qZXL1MvW19SIT46TGMujdf/bj4gb81NubEviXYAAJqLufG+IjRU+uIL59t1715zfFotL23IUVmltYEGzmkXHkyyAWhF5t2cor2P3aTJV3X3eN+rMo+q2pOZjtBQaevWmpMr0DSLRdq0Sdq50y3JhvqOuMw/Xa5FXkw2cPwzAACuIeHgS3r0cL7NiRN2G3U9+UG2/rghx7SQxvfvQrIBaGVCggL08JhUxUeHyZP/95eUn9PWA0Ue7FFS585SYaFn+/RH4eHS5s3SsGGmH3lZbTX0yNpsryUVGmKRlDE6hfdAAABcQMLBl/x7s0yHBATUzIjYts22nOKDncdMX399Q0qcqdcD4B8CAyzKGO2BoyrrWPrFAa3ZkactuYWeme0QGipt3y4tWSJ16cIpFg1JTpaGDHHLpb11xGVj2oUH67W7BrBvEQAALrIYBlt2FxcXKzo6WqdPn1ZUVJR3gjAMqU2bmjXFjujYsWbPh38nG6qthgY+/pFOnakyLaTYiBBt/e0NfLoDtGIf7s7Xb/5vl4rKzBtbHBUREqgZQ3vqvp8ku38cqqiQEhNrjnfEhTp3lg4dcstJFGt25OmB5TtMv25zjU6L0x8nDeC9zwf5xP0aAMApbBrpK8rKHE82SDXraGvd+G09UGRqskGSHhubyg0X0Mqlp8br+j6dddWTG1RUVtl0AxOVVVbrjxtytHBzrp77j8t0c5obP22ufYpFbQUF0nvvSYsXu69vX9e+vfTPf7rt2MtOkWFuua6zIsOCNH98mntfZwAAtDIkHHzF4487XtdikS66yO6hgmJzp6OOSovnpguApJo9Hf5wa6rufTtTkjy+1r68yqpZf8nUqN3xemFSf/clQuueYiHVzD77/e/d058vCw6uOTJ08GCpXz/T922obVBSe8VHh3l1WUVUWJC+fmiEQoJYaQoAgJlYUiEfmKJntdYsp6h04tPD48eljh1tZ5Y/u36vvj70gynhRIUF6pvfj2R2AwA79R1b6GlRYYFaMPFSz62tb01LLYKDpTfekDp0cHuSQZLt/et4Sbm+O1GqFzbsd2t/jXn1zv66OS3Ba/3DMV6/XwMAOI0ZDr7gySedSza8/rrUsaPbbv4XTLyUZAOAC6SnxmtESpy2HijSr//6rQ4XnfV4DMXl1brn7Uwt9NSGfrWXWnzxhXTffe7v01uqq6WxYyUP/CH34e58Pfy3LBUUO7GU0E1mDksi2QAAgJsww0FezphbrVLbttJZJ27cT53Sh0fP6t63M02d2hzTJkhPTUhjV24ADpm+dJs27D3ulb5jwoO1/aERnkuOGoZ05ZVSZmbNH+YtRUyM9MgjUmxszVK9K65we5cf7s7XPf9enuNtL9x+mcb27+LtMOAgZjgAgP9hhoO3lZZK5c7NUKiWxfQzy4f2jtXSu69kZgMAh70x9Qq99/UR/deqnR7v+4czVfoyt1BDkjt4psP162tmOrQ0JSXSf/6nFOaZjRurrYZ+ufJbj/TVlBlDk0g2AADgZuyO5G2RkTXnmztq82ZtLTxn+jKK8QO6kmwA4LRxA7tp5rAkr/T9x4/3qvKcVVtyC7VmR5625Baq2uqGSXuGIf3ud1JAC3zLtHh23H9xQ47OVHp3hohFNcsofntLilfjAACgNWCGg7dVVko5OY7VtVikK67Q8b2FpocRF93G9GsCaB3m3ZyiS7u2069X71RJ+TmP9bvt0Gld/NA/7GZ7xUeHKWN0irlLwyorpcOHa5bAtTTnztUcszxypNu7qrYaWrQp1+39NOaizhF6/75hnEYBAICH8I7rbRZLzadnjjAMyTB08GSZqSHERYVqUFJ7U68JoHW5OS1ej47p6/F+646eBafLde/bmfpwd755nZzfOHL79gu/tmyR2vvw+GmxSF0aWTYQEFAze8MD2zm9vDFH5ee8l7SZMbSH1v9iOMkGAAA8iBkO3jZ3rlPVqysqtWzrYVNDuGNQIsspALjMF2ZKnf+z+cF3v1Wb4ED9cLZKnSLDNCipvWvjXLduNV/12bGj5hQLSdq1SzpypOb7116Tjh1rfp9NiYmRli6t6fN3v6u/jmFIZY0kqa3WmngrK2sSKy6ofcxlh4hQySKdLK1Qp8gwXZ7YTq986p3ZDRMGdNGT49NINAAA4AUkHLzJapVeeMHx+jNmaGvhOdOPEevRIdzU6wFonQYltVd8dJjpe8w0R0lFtaYs+XGTR7cstTivdjJiwICa/1ZUSC+/3Hi7gIDmL9N46SVp3Lia2QtPPNHwtQICpO7dpY8/bni/hk6dXE42NHVMc0RIoCq9MLshJT5Sz952mcf7BQAANUg4eFNJiXM3m++8o49uMf8M+E6RntmdHEDLFhhgUcboFNOP7DVD/r+XWrx21wDPHP17fhnG+ZkPdVVWSqNHSydPNu/6b74pzZ7d9P4SVqt0/LiUmupyUqEhH+7Ob/I5L/PSRpETBnT1Sr8AAKAGCQdv+uILp6ob5eVa+89/SQHmJQjio8PYvwGAadJT4/XaXQMa/bTbWwxJj6zN1oiUOM8sI2tsGYYkZWZKa9ZI9zUjkXz48I/LIBpLbEimzGA4r+6yCathaO5fd/lcgkmqOY1i8uAe3g4DAIBWjYSDtxiGNGeO4/WDg7X8mbd14ph5yQaLpIzRKezfAMBU6anxGpESZ/vD9LN/ndSqzKPeDktSzUyHrQeKNLhXrLdDkbp2rZmp4OzSisBA6fPPf0wiNJXYMElTyyZ8zc+H9mDfBgAAvIx3Ym9Zt0767jvH61dVacPmLNO67xwZ4rmpxQBancAAiwb3itXYy7po6EUdvB2OnTe3HFS11Qc+k3fkuM3IyAsfq66Wcj27AeP5ZRP+kmwYkdJJv73F86emAAAAe8xw8AbDkB56yLkmku775zJ93OuKhjf+clBKfKTW3jeUmQ0APMLX9on5x+4C9Xv4Qw1L7qDLE2PVITJUcVEmnGThrKaWQxiGNH26tHt3TZLhvMDAmlMpbrzR5fcDR1RbDT2yNtsnl03UFRoUoGf+41KNvjTB26EAAACRcPCOysofj01zkEVSfMkJhVSfU2VQsEvdvzf7GpINADzGl06vOO9MpVUfZh3Xh1nHbY+1Cw/WE+P66eY0+5lftfctMOWIzdoaWw6xbp307bcXPl5dXZOoWL9eGjnSnDgasfVAkU89dw0JDbRo18MjWUYBAIAPIeHgDaGh0ubNUp8+DjepsgRowp0LXE42zByWxM0YAI/y5dMrajt1pkqz/pKpUbvi9MIdAxQYYKl33wK3HrF5nmHUzGJo7LhLD81yOF7i+8kGSXrhjv68vwEA4GNIOHjLE084Vf10aFt9H9XRpS5HpcVr3s0pLl0DAJrj/OkVc1fv0g9nqrwdTqPe31WgjXs/1OTBifrfzQcuSJJ45IhNR467PHLkx5MqTFRtNfTld4X6Yv9J5f1wtib54eN+cUMyexIBAOCDLIbhB3cSblZcXKzo6GidPn1aUVFR7u+wuloKcjzXU2kJ0LD/fF0FMZ2a3WVUqEXfZNzEUgoAXlVtNfTyxhy9+mmuKs45cTKDD2oXHqyvHxrhvnH1yJGmj7vs2tWlLuouFzlZWqF5q3eptOKcS9f1tBcmXaaxl3XxdhhwM4/frwEAXMYMB2945BGnqgcbVpWERrjU5VMTLiPZAMDrAgMseuCGi3Tv8N666skNKiqr9HZIzXbqTJV+vepbDb2oo/l7O0i2/R3ctYeEvx1z2Rhf25gUAADUIOHgaVar08spToVEqCo4pNld9u4YoZvT2LEbgO8ICQrQH25N9fl9HZqyKjNPqzLzJEkxbYI1bUgPzbk+2bTEgxl7SNSXsPgou8Dvf/dSzYbKcdE1PxMAAPA9LKmQh6foFRVJsbEOV7dKumH6q/quQ/dmd/nW3YM09CLX9n8AAHf4cHe+Hv5btgqK/f9T9vNCggJ0xxXdlJ4a3+hshNqJgA5tQyVDOllW4XBS4KbUzrrryh66Iqm9th86ZUsoXJ7YzlY+eLJMy7YeVkFxha1dXFSois9W6UyVfy9pOf9bdeteGvApLKkAAP9DwkEefgP73e+kxx93qKohaX9Mgkb856Jm70IeEmjRnsfYuwGA7zq/r8PzH+d4OxTT1Z2NcD7J8HF2gVZ/c1SnztS/V0K78GBVnLPqTGW1030GWCRrK3hn98hpIfApJBwAwP+wpMKTrFbpueccrm6RFF1RppDqc80+DvPe4b1JNgDwaef3dbg4LtIvTrFwRv7pct3zdqbmXNdL+afL9Y9dBTpT1XQS4ZQLv4OWnGxoFx6k349OVVyUG/bMAAAApiPh4EmlpdLZsw5X/yEkXBMmP9PsZIMk9ezo2maTAOAp6anxGpESp5c37tf/bs5VWTM+3fdVL3+S6+0QWoQnx6cxowEAAD8S4O0AWpXISCnC8QTAo9dN15F2rt1YsXM3AH9SM9shWTsfHqlf3JCs6DbkxSHFhAdrIXs1AADgd7iT86R//KNmloMDDElTd3yg1Zfe2Oz9G+LZuRuAnzq/zGLO9cn6/ZpdeuerI94OCR7UNjRQQ5M7qlfHCA3u2UFX9Ypl+QQAAH6IhIOnGIZ0//0OV7dIiistdGn/hozRKdygAfBrgQEWZYxOJeHQCoy4pKMujovW4F6xuqonCQYAAFoCEg6eUlEhHTrkcPUzAUGa8NOnm51sePXO/kw9BdAihAQFaMbQJC3+7IC3Q4Eb3X1NLw3u5fix0QAAwPexh4OnWCySg0c4GZIsVkNHojs3q6tX7xygm9MSmtUWAHzRb29J0YiUTt4OA27CEkAAAFomEg6eEhoqZWQ4VNUiKUTViqgsd7qbm1M76+Y0ZjYAaHkW/+wKvTypv8KCeetqSSxiCSAAAC0VSyo8xTCkuXMdqyrpPyY9qbKwcKe7+emVPZxuAwD+YtRlCbopLV5ffleoLbmFkgxFtwnWEx/s9XZoaIb46DBljE5hCSAAAC0UCQdPKSuTzp51uPp3sd2d7iImPFhXsf4VQAsXGGDRkN4dNKR3B0lStdXQG58fVEGx87PC4B3Th/TQDSlxGpTUnpkNAAC0YMxL9ZT33nO46vODJuqHttFOd/HU+H7cuAFodQIDLHp4TIq3w4AD4qJCtfCuAfrd6L4azFGXAAC0eMxw8ATDkF54wbGqkm48sF0vDp9Ss9Gkg/7rJ8lMSQXQaqWnxusXNyTr+Y9zvB0K6rilX5xu7BunTpFhzGgAAKCVIeHgCZWV0uHDDlW1SOpcVqSQ6nMOH4kZHhKo+36S7EKAAOD/5lyfrGVbj7C0wofMGJqk397C7BMAAForllR4Qmio9OijDlU1JN1++5MOJxskaeawXnxiBKDVO7+0wqKa5C28679+kkyyAQCAVo6EgycYhrRokcPVj8Z0drhuSFCA5lzfuzlRAUCLk54ar9fuGqC46DC7x2PCHU/iwhxJHSO8HQIAAPAyllR4QmWllJvrUFVDUrC1WpUOXvrpiWnMbgCAWtJT4zUiJU5bDxTpeEm5OkSE6lfvfiupytuhtSqdIsOargQAAFo0Eg6eEBJSs6yiCYak3HZdVBbaxqHL9uwYrrGXdXExOABoeQIDLBr872OCt+QWsq+Dh7WPCNagpPbeDgMAAHgZSyo8obxcOnGiyWoWSdGVZxRSfa7JukEB0ke/GO5yaADQ0h0vIdngabde1oXZdwAAgBkOHlHZ9AIJQ9J/THpSR9vFO7Rh5B9vu4ybOQBwAFP7Pe+GlDhvhwAAAHwAMxw8ITRUCgxstEq1JUA7Ey5WQVQHhy7Zrm3TSzQAANKgpPaKjw7j5AoPsEiKjw5jOQUAAJBEwsEzLBapXbtGq/wQFllTz0FbcgtdjQoAWoXAAIsyRtccz+joKHtzameNvTTBfUH5mdiIEO15NF3LZlyl6UN61Fvn/O82Y3QKM/AAAIAkllR4RmiolJmpnZk5mvd/u+qtUhge49BSih8Z5sQGAK3A+eMyH1mbrfzTP+7pEGCRrLWG0/joMGWMTlF6aryqrYY25ZzQD2c43eKJW1PVJiRQg3vFanCvWF2R1P6C32Vcrd8dAACAJFkMw2j1f7kWFxcrOjpap0+fVlRUlNv6GfXSZ9qdV2zKtd6ZfqWGJDu2/AIAUKPaatiOy+wUGabLE9tp+6FTtvKgpPZ2n85/uDtf97yd6cWIvSvAIr18xwDdnHZhEqHu77Lu7w4wm6fu1wAA5mGGg4e8vyPPtGRDTHiwrvr3cW8AAMfVPi7zvLrl2tJT47XwrgGau3rXBTMdwoICFGCRzlRZ3RKrL3j5jv71Jhuk+n+XAAAAtZFw8IBqq6G5/7fTtOs9Nb4fnyIBgIekp8ZrREqcvvyu8N/75xga3LODLfG79UCRCorLVVRaoaiwIK3dma8tuSfl63kIi6SXJvVXUJDlguUR8SyPAAAAJmBJhdw/RW9LbqHuWPyly9dpFx6kJ8encQMIAD6u2mro16t2alXmUW+H0qBX7+yvm9NqNsZkeQT8AUsqAMD/MMPBA46XlDddqQlRYUH66jcjFBLEwSIA4OsCAyyaPzFNH+/93pRNJ9tHBGvsZV205J8HHW5jUc0SvNCgABUUV9ger2/2AssjAACAO5Bw8IAOEaEuX2Pi5V1JNgCAHwkMsOip8f1079uZDZ4rFBoUoKAAi8oqq+v99/NzDP5waz+lp8brisT2emjNbhWVVTba9/l2T47vpxEpccxeAAAAXkHCwRNMuK8bkRLn+kUAAB7V0HGcMeHBmnZ1kuZc31tSzT4QH2cX6P925Kmo7McZEXWPmrw5LV4jU+0TCKfKKvXY3xs/opLZCwAAwBvYw0HuXxO4ZkeeHli+o9ntO0eG6It5N/CJFAD4KUf3SGjuXgrswYDWgD0cAMD/MMPBAzpFhrnU/pGxqdw4AoAfc3SPhObupcAeDAAAwBexKYAHXJ7YrtltX550GadSAAAAAAD8DgkHD9h+6FSz28a6ODsCAAAAAABvIOHgAXmnzjS7rRlHagIAAAAA4GkkHDxgXVZBs9u6uv8DAAAAAADeQMLBA85W1X++elPio2t2GgcAAAAAwN+QcPCAHrERzWqXMTqF0ykAAAAAAH6JhIMHjOjT2an6Fkmv3tmf0ykAAAAAAH4ryNsBtAY/VFQ5Vf+VOwfo5jSSDQAAAAAA/0XCwQMc3fgxONCil+5gZgMAAAAAwP+RcPCAQUntFR8dpoLT5TIaqBMREqBvfj9SIUGscgEAAAAA+D+f/+s2Ly9P8+fP15AhQ9SlSxeFhoaqS5cuGjJkiObPn6+8vDxvh9ikwACLMkanSKrZn6E+z952GckGAAAAAECLYTEMo6EP3b1u4cKF+u///m+VlZU1WKdt27Z65plnNHPmzGb3U1xcrOjoaJ0+fVpRUVHNvk5TPtydr0fWZiv/dLntsfjoMGWMTmEZBQAAQCM8db8GADCPzy6pePTRR5WRkWH3WHJyshISEnT06FHl5uZKkkpLS3XPPffoxIkTeuihh7wRqsPSU+M1IiVOWw8U6XhJuTpFhmlQUnuOvgQAAAAAtDg+OcNhzZo1GjdunK2ckpKit956SwMGDLA99vXXX+tnP/uZ9uzZY9duzJgxTvdHxhwAAMC3cb8GAP7H5xIOVVVVSklJ0f79+yVJXbt21c6dO9WuXbsL6hYVFSktLc22j0NycrKys7MVFOTcxA3ewAAAAHwb92sA4H98bpfC5cuX25INkvTcc8/Vm2yQpPbt2+u5556zlXNycrR8+XK3xwgAAAAAABrncwmHlStX2r5PSEjQrbfe2mj98ePHKz7+xw0X3333XbfFBgAAAAAAHONTCYezZ8/qo48+spXT09ObXB4RFBSk9PR0W3n9+vUqLy9vpAUAAAAAAHA3n0o47NmzRxUVFbbykCFDHGpXu155ebndRpIAAAAAAMDzfCrhkJWVZVdOTk52qF3detnZ2abFBAAAAAAAnOfccQ5udvDgQbty9+7dHWqXmJhoVz5w4ECj9SsqKuxmUhQXFzsWIAAAAAAAcIhPzXCo+4d/TEyMQ+2io6PtyiUlJY3Wf/LJJxUdHW376tatm1NxAgAAAACAxvlUwqG0tNSu3KZNG4fa1a3XVMJh3rx5On36tO3ryJEjzgUKAAAAAAAa5VNLKqqqquzKTZ1Q0VC9utepKzQ0VKGhoc4FBwAAAAAAHOZTMxwiIiLsyo4eb1m3Xt3rAAAAAAAAz/KphEPbtm3tymfOnHGoXd16kZGRpsUEAAAAAACc51MJh44dO9qV8/PzHWpXt16HDh1MiwkAAAAAADjPp/Zw6NOnj1350KFD6tevX5PtDh06ZFe+5JJLnOrXMAxJHI8JAADgq87fp52/bwMA+D6fSjj07dvXrpyZmalRo0Y12S4zM9OunJKS4lS/50+14HhMAAAA31ZSUnLBkegAAN/kUwmHbt26qVevXsrNzZUkbdq0yaF2tev17t1bXbt2darfhIQEHTlyRJGRkbJYLE61bY7i4mJ169ZNR44cUVRUlNv7g//jNQNn8ZqBs3jNwFmefs0YhqGSkhIlJCS4vS8AgDl8KuEgSePHj9fTTz8tSfr00091+PBhde/evcH6hw8ftks4jB8/3uk+AwICnE5SmCEqKoqbOjiF1wycxWsGzuI1A2d58jXDzAYA8C8+tWmkJE2bNk2BgYGSJKvVqscee6zR+o8++qisVqskKTAwUNOmTXN7jAAAAAAAoHE+l3C45JJLNGXKFFv59ddf1+uvv15v3UWLFumNN96wladOnXrBxpMAAAAAAMDzfG5JhSTNnz9fmzZtsu3lMGPGDK1du1aTJk1SQkKC8vLytGzZMr3//vu2Nr1799ZTTz3lrZCdEhoaqoyMDIWGhno7FPgJXjNwFq8ZOIvXDJzFawYA0BSL4aNnC+Xk5GjkyJE6cOBAk3WTkpK0fv169e7d2wORAQAAAACApvjckorzkpOTtXPnTt1///0NbkQUHR2t+++/Xzt37iTZAAAAAACAD/HZGQ61lZeXa9OmTTp48KAKCwsVGxurHj16aPjw4UzjAwAAAADAB/lFwgEAAAAAAPgXn11SAQAAAAAA/BcJhybk5eVp/vz5GjJkiLp06aLQ0FB16dJFQ4YM0fz585WXl+f2GAzD0AcffKDJkyerT58+ioqKUlRUlPr06aPJkyfrgw8+EBNVvK+iokIbN27U73//e40aNUo9e/ZUZGSkQkJC1LFjR/Xv31/33HOP1q9f77bna+rUqbJYLE5/LVy40C3xoGEHDx5s1nMVFxfntpgYa3xXc14rtb969OhhWiyMM95VUlKizZs3649//KN+9rOfqW/fvgoKCjL1ufaFex+JMQkAWgQDDXrttdeMiIgIQ1KDX23btjUWLlzothgOHTpkXHfddY3GIMm4/vrrjUOHDrktDjSsoKDAmDRpkhEZGdnk83T+q2/fvsaXX35peixTpkxxOIbaX6+99prpsaBxBw4caNZz1blzZ7fEw1jj25rzWqn9dfnll5sWC+OM91x00UWGxWJp9PecmJjoUh++cO9jGIxJANBSBNWXhID06KOPKiMjw+6x5ORkJSQk6OjRo8rNzZUklZaW6p577tGJEyf00EMPmRrDsWPHdM011+jIkSO2xyIjI5WSkiLDMLRnzx6VlJRIkjZu3KihQ4fqyy+/VHx8vKlxoHFHjhzR8uXLL3g8Pj5eXbt2VWRkpAoKCrR3715ZrVZJUlZWlq655hqtWLFC48ePd0tcCQkJ6tevn0N1u3fv7pYY4Lhhw4apTZs2TdZr37696X0z1vi+kSNHOlX/4MGD2rdvn6181113mR2SJMYZT/vXv/7l1uv7wr2PxJgEAC2KlxMePum9996zy56npKQY27dvt6uzbds245JLLrGrt2bNGtNiqK6uNgYOHGi7tsViMR555BGjtLTUVqekpMTIyMiw+7Rj4MCBRnV1tWlxoGnbtm2z/f6vuuoqY+HChcaBAwcuqJefn2/MmTPH7vkKCQkx9u7da1ostT95nDJlimnXhfnqznCo7zXjCYw1LdOYMWPsxpmTJ0+adm3GGe85/3uPiIgwrr76auO+++4zlixZYqSnp7s8w8EX7n0MgzEJAFoaEg51VFZWGr1797a9gXXt2tUoKiqqt25hYaHRpUsXW93k5GSjqqrKlDj+9Kc/2b2hL1iwoMG6Tz31lF3dpUuXmhIDHLN9+3Zj7NixF9yYNeTFF1+0e74mTJhgWiz8IeA/fCXhwFjT8uTn5xtBQUG25+m2224z9fqMM97z9ttvG9nZ2Rf8YV37OWlOwsFX7n0MgzEJAFoaEg51vPnmm3ZvXitXrmy0/ooVK+zqv/XWW6bE0bNnT9s1U1NTG83aV1dXG6mpqbb6vXr1MiUGuM+gQYNsz1dYWJhRVlZmynX5Q8B/+ErCgbGm5Zk/f77da2vdunWmXp9xxve4mnDwlXsfw2BMAoCWhlMq6li5cqXt+4SEBN16662N1h8/frzdmsF3333X5Ri2b9+u7777zlaeNWuWAgIafqoCAgJ077332sq5ubn65ptvXI4D7jN27Fjb9+Xl5Tp48KD3gkGrxVjTMv3pT3+yfd+9e3fdcMMNXowG/sAX7n0kxiQAaIlIONRy9uxZffTRR7Zyenq6goIa31czKChI6enptvL69etVXl7uUhx/+9vf7MqjRo1qsk3dOmvWrHEpBrhX3Y3/iouLvRQJWjPGmpbn888/t9ssctq0aY3+wQb4yr2PxJgEAC0RdyG17NmzRxUVFbbykCFDHGpXu155ebn27NnjUhy1s/PdunVTt27dmmzTvXt3de3atd5rwPfUndHQqVMn7wSCVo2xpuWpPbvBYrFo2rRpXowG/sBX7n0kxiQAaIlIONSSlZVlV05OTnaoXd162dnZpsXhaAx167oaA9zHMAytWrXKVo6Pj1dSUpLp/Wzbtk033XSTunTpotDQUEVFRSkpKUljxozRM888o++//970PtF8v/71r5WWlqaYmBiFhISoc+fOGjBggObMmaN169bJMAzT+2SsaVlKSkrspsbfcMMNSkxMdGufjDP+z1fuferGwpgEAC0DCYda6n7q7OiZ4XVv6A4cOOBSHIcOHXI6hrpxuBoD3Ocvf/mL7SxzSfrpT38qi8Viej/Z2dn68MMPdezYMVVWVqqkpEQHDx7U2rVr9eCDDyoxMVG//OUv7T7ZgvesXLlSu3bt0unTp1VVVaXjx4/rm2++0SuvvKL09HT169dPW7ZsMbVPxpqWZcWKFSorK7OVp0+f7vY+GWf8n6/c+0iMSQDQEpFwqKXuOvqYmBiH2kVHR9uVS0pKmh1DWVmZqqurnY6hbhzV1dU6e/Zss+OAexw9elQPPPCArRwTE6N58+a5pa+goCD16dNHw4YN0/Dhw9W3b18FBgba/r2iokLPP/+8Bg8erFOnTrklBjguNjZWgwYN0k9+8hNdeeWV6tChg92/Z2VladiwYXrjjTdM6Y+xpuWpvZyiffv2GjdunNv7ZJzxf75w7yMxJgFAS0XCoZbS0lK7cps2bRxqV7eeK2+6zY3B7DhgvjNnzmj8+PEqLCy0PbZo0aILNpB0RVRUlGbOnKn169ertLRUe/bs0aZNm/TJJ59o9+7dOnXqlF599VV17tzZ1uabb77RuHHjZLVaTYsDTbNYLBo4cKBeeeUVfffddzp58qS++uorffzxx/ryyy914sQJff3115o4caKtzblz5zRz5kytW7fO5f4Za1qWPXv22M2AueuuuxQaGuqWvhhnWhZfuPdxJQ53xAIAMA8Jh1qqqqrsyk3t0txQvbrX8UQMZscBc507d06TJk3Stm3bbI/Nnj1bt912m6n9vPjii1q4cKFGjBhR7x8bkZGRuvfee/Xtt98qJSXF9vjmzZv15ptvmhoLGpeYmKht27Zp1qxZDe7hcfnll+vdd9/Viy++aHusurpac+bMcfn/b8aalqX27AbJvcspGGdaFl+493ElDnfEAgAwDwmHWiIiIuzKjh7xVLde3et4Igaz44B5rFarJk+erLVr19oeu+222/TCCy94LabOnTtrzZo1CgkJsT327LPPei0eNO6+++7T3XffbSvv37//guPjnMVY03JUVVXZ/SE/cOBApaWleTGiGowz/sEX7n1cicMdsQAAzEPCoZa2bdvalc+cOeNQu7r1IiMjPR6D2XHAHFarVVOnTtXy5cttj02YMEHvvPOO3Tpnb+jdu7duv/12W3n37t06evSoFyNCY37729/alf/xj3+4dD3Gmpbj/fff1/Hjx23ln//8516Mxh7jjO/zhXsfV+JwRywAAPOQcKilY8eOduX8/HyH2tWtV3ezN2cEBwfbbX7kaAx168bExHj9D9rWzmq1avr06Xrrrbdsj916661avny5U1NF3en666+3K+/du9dLkaApPXv2tNuJ3dXnirGm5ai9nCI8PFx33HGHF6O5EOOMb/OFex+JMQkAWioSDrX06dPHrlz7eKbG1K13ySWXmBaHozHUretqDHCN1WrVz3/+cy1dutT22Lhx47RixQqfSTZIUnx8vF355MmTXooEjqj9fJnxXDHW+L9jx47ZzXaZOHGioqKivBjRhRhnfJuv3PvUjYUxCQBaBhIOtfTt29eunJmZ6VC7uvVqb5LlahxZWVmqrKxssk1FRYWysrJMiwHNdz7ZsGTJEttj48aN08qVKxUcHOzFyC5UdxqqM7uCw/NqP19mPFeMNf7vz3/+s91Rgu7cLLK5GGd8m6/c+9SNhTEJAFoGEg61dOvWTb169bKVN23a5FC72vV69+6trl27uhTH8OHDbd+Xl5frq6++arLNV199pYqKClv5uuuucykGNI8/JRukmvXUtcXFxXkpEjSloqJC+/fvt5XNeK4Ya/xf7bEmOTlZw4YN82I09WOc8W2+cu8jMSYBQEtEwqGO8ePH277/9NNPdfjw4UbrHz582O5Nt3b75ho9erTdH6eOHCNWu05ISIhGjRrlchxwTn3JhltvvdVnkw3V1dVatmyZrRwREaH+/ft7MSI0ZvXq1XafFF9zzTUuX5Oxxr9t3rxZOTk5tnLtk0x8BeOMf/CFex+JMQkAWiISDnVMmzbNttmQ1WrVY4891mj9Rx99VFarVZIUGBioadOmuRxDTEyMJk6caCu/8847dp9s1pWTk6O//OUvtvLEiRPtNl6C+xmGoRkzZtglG8aPH68VK1b4ZLJBkp5++mnt2bPHVh4zZozd8XXwHd9//73mzp1rKwcEBJhyg89Y499qbxYZGBioKVOmeDGa+jHO+AdfuPeRGJMAoEUycIG7777bkGT7Wrx4cb31Fi5caFdv+vTpDV7zwIEDdnWnTJnSaAz79+83goODbfUHDBhgHD9+/IJ6BQUFxmWXXWarFxISYuTm5jr188I1VqvVmDFjht3zO3HiRKOqqsrlazvzupk9e7bx1ltvGeXl5Y1es7Ky0nj44YcNi8Viu25wcLCRk5PjcrxwzBdffGHMnDnT2Lt3b5N1d+7caaSkpNi9DqZOndpgfcaa1uH06dNGeHi47fkYPXp0s6/FOOP/pkyZYvs9JyYmNusa7rj3MQzGJABo7Xxnu3wfMn/+fG3atEm5ubmSpBkzZmjt2rWaNGmSEhISlJeXp2XLlun999+3tendu7eeeuop02Lo1auXFixYoF/84heSajZnuvTSSzVr1ixdccUVMgxD27Zt06uvvqqCggJbuwULFqhnz56mxYGmvfvuu1q8eLGtbLFYdOrUKaemdf7qV7/SiBEjXIpj9+7deuWVVzRr1iylp6fr8ssv18UXX6yYmBgFBATo+PHj2rp1q5YtW6ajR4/axfv666+rd+/eLvUPx1VUVGjRokVatGiRLr30Ul1//fVKS0tTXFycIiMjVVpaqv3792vdunX6+9//bvskUZL69++vF154wbRYGGv80/Lly+2W2Hhqs0jGGe96/PHH9fjjj1/weFVVle37Q4cOKSws7II6kydPtnuvqssX7n0kxiQAaHG8nPDwWf/617+MpKQku6x8Q19JSUlNfmrjbIb/vN/85jd2nxA19GWxWIyHHnrIhJ8czlqyZIlDr5PGvpYsWVLvtZ153Vx77bVO9xsTE2MsX77cPb8YNOiTTz5p1utk9OjRxokTJxq9NmNN63DllVfanpPOnTu7NKOKccZ/ZGRkNPt9xpGxwOx7H8NgTAKA1o49HBqQnJysnTt36v7772/wTPPo6Gjdf//92rlzp9s+tXniiSf00UcfaeDAgQ3WGThwoD7++OMm11yiZZs4caKuvPJKh/aMiIuL07x585Sdna3bb7/dA9Ghth49euj2229XfHx8k3UDAgI0YsQIrVmzRn/729/UoUMHt8TEWOM/srKy7HbvnzJlioKCPDNhkXGmZfOVex+JMQkAWgqLYRiGt4PwdeXl5dq0aZMOHjyowsJCxcbGqkePHho+fLhCQ0M9FkdOTo62bdum/Px8SVJ8fLyuuOIKJScneywG+L7KykplZWUpNzdX+fn5Ki0tldVqVXR0tDp27KgBAwbwmvEhx44dU3Z2tg4fPqyioiKdPXtWbdq0UUxMjHr37q2BAweqbdu2Ho2JsQZNYZxp+Xzl3kdiTAIAf0bCAQAAAAAAmI4lFQAAAAAAwHQkHAAAAAAAgOlIOAAAAAAAANORcAAAAAAAAKYj4QAAAAAAAExHwgEAAAAAAJiOhAMAAAAAADAdCQcAAAAAAGA6Eg4AAAAAAMB0JBwAAAAAAIDpSDgAAAAAAADTkXAAAB8xfPhwWSwWWSwWPfzww94OBwAAAHAJCQcAcNDBgwdtCQGzvw4ePOjtHw8AAAAwFQkHAAAAAABguiBvBwAA/qJNmzYaOXJkk/W2bt2qU6dOSZLCwsJ07bXXOnRtAAAAoCWxGIZheDsIAGhJhg8frk2bNkmSEhMTWS4BAACAVoklFQAAAAAAwHQkHAAAAAAAgOlIOACAj3D0WMwePXrY6i1dulSSVF1drVWrVmns2LHq2bOnwsLCFBMTo6FDh2rx4sWqrq6+4DolJSV69tlndc0116hdu3YKCQlRQkKCJkyYoA0bNjTrZ/jmm280b948DRo0SAkJCQoNDVVsbKzS0tL0wAMPaNu2bc26LgAAAPwPm0YCgJ87duyY7rzzTtu+EedVVFTo888/1+eff64VK1Zo7dq1ts0pN2/erEmTJik/P9+uTX5+vlavXq3Vq1frl7/8pZ599lmHYjh+/Lhmz56tVatWXfBvRUVFKioq0q5du/Tiiy/qjjvu0OLFixUREdHMnxgAAAD+gIQDAPix0tJS3XjjjcrKypIkJSUlKTExUWfOnNGOHTtUWVkpSdqwYYMmT56sVatW6bPPPtPIkSNVXl4ui8Wivn37qlOnTjp+/Lh2795tu/Zzzz2nnj17avbs2Y3GsG/fPqWnp9ttjhkcHKyUlBTFxsaquLhYu3btUkVFhSRp2bJl2rdvnz799FNFRkaa/BsBAACAr2BJBQD4sYcfflhZWVm6+uqrlZmZqe+++06ffPKJvvrqKx07dkxjx4611f3rX/+qdevW6fbbb1d5ebnuvvtu5eXladeuXdqwYYN27dqlXbt26aKLLrK1+c1vfqPS0tIG+y8pKdHo0aNtyYaYmBi98sorOnXqlHbs2KENGzZo27ZtKioq0oIFCxQSEiJJyszM1L333uueXwoAAAB8AgkHAPBjhYWFuvbaa7Vx40b179/f7t9iY2O1cuVK9ezZ0/bYmDFjlJ+fr7lz5+qNN95QfHy8XZvU1FS99957CgwMlCQVFxdr9erVDfb/P//zP8rJyZEkxcfHa/v27Zo1a9YFyyXCw8P14IMPas2aNQoIqHnreeedd9jTAQAAoAUj4QAAfiwwMFBLlixRaGhovf8eEhKi6dOn28qVlZW66KKL9NhjjzV4zUsuuUTXXXedrfz555/XW6+goEBLliyxlZcuXWqX3KhPenq6pk6daiu/9NJLjdYHAACA/yLhAAB+bMSIEUpKSmq0zlVXXWVXvvvuuxUU1PgWPrXbZGdn11tn+fLltn0Z+vXrpxtvvNGRkDVlyhTb9809DQMAAAC+j4QDAPixwYMHN1knLi7O6Ta1l1qcOnWq3jq1T8UYMWJEk9c879JLL7V9f+zYMR07dszhtgAAAPAfnFIBAH6sbjKhPuHh4S61OXPmTL11du7cafv+73//u+2kDGedOHFCCQkJzWoLAAAA30XCAQD82PlTH9zZxjCMeh8vLCy0fb9v3z7t27fP6Vgk6fTp081qBwAAAN/GkgoAQLOUlZWZch2r1WrKdQAAAOBbSDgAAJolJibG9v2CBQtkGEazvoYPH+61nwEAAADuQ8IBANAstfeC+P77770YCQAAAHwRCQcAQLNcffXVtu+3bNnixUgAAADgi0g4AACa5aabbrJ9v2XLFu3Zs8eL0QAAAMDXkHAAADTLmDFjdPHFF0uqOcli5syZqqqq8nJUAAAA8BUkHAAAzRIQEKDnn39eFotFkvTZZ58pPT1deXl5Tbbds2eP5syZo6efftrdYQIAAMBLgrwdAADAf9100036wx/+oHnz5kmSNm7cqJ49e2rChAm67rrrlJiYqPDwcBUXF+vYsWPasWOHNm7caFt+kZGR4c3wAQAA4EYkHAAALpk7d646d+6sWbNmqby8XJWVlVq2bJmWLVvm7dAAAADgRSypAAC4bNq0adq3b59mz56t6OjoRuu2bdtWt9xyi/785z/rwQcf9FCEAAAA8DSLYRiGt4MAALQc1dXVyszMVHZ2tgoLC3X27FlFREQoLi5Offr0Ud++fRUcHOztMAEAAOBmJBwAAAAAAIDpWFIBAAAAAABMR8IBAAAAAACYjoQDAAAAAAAwHQkHAAAAAABgOhIOAAAAAADAdCQcAAAAAACA6Ug4AAAAAAAA05FwAAAAAAAApiPhAAAAAAAATEfCAQAAAAAAmI6EAwAAAAAAMB0JBwAAAAAAYDoSDgAAAAAAwHQkHAAAAAAAgOn+HzB8mqj1N3oiAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "dowhy.plotter.plot_treatment_outcome(df[data_dict[\"treatment_name\"]], df[data_dict[\"outcome_name\"]],\n", " df[data_dict[\"time_val\"]]) " @@ -85,9 +118,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "model= CausalModel( \n", " data=df, \n", @@ -107,9 +151,20 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "from IPython.display import Image, display\n", "display(Image(filename=\"causal_model.png\"))" @@ -125,9 +180,223 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": {}, - "outputs": [], + "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", + " \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", + " \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", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
TreatmentOutcomew0s
03.7009727.285452-2.2644978.317385
110.16342320.1658194.0587429.838792
22.3985544.547218-3.7336326.483892
36.58190212.8527640.2168424.945034
46.85851513.2350770.5230751.135349
...............
99952.9416336.019636-2.9770055.988568
99964.93078110.698629-0.8200180.804546
99979.39043918.9584983.4123433.766588
99989.72314719.7937003.7245342.475151
999910.02428319.7760293.9851212.878021
\n", + "

10000 rows × 4 columns

\n", + "
" + ], + "text/plain": [ + " Treatment Outcome w0 s\n", + "0 3.700972 7.285452 -2.264497 8.317385\n", + "1 10.163423 20.165819 4.058742 9.838792\n", + "2 2.398554 4.547218 -3.733632 6.483892\n", + "3 6.581902 12.852764 0.216842 4.945034\n", + "4 6.858515 13.235077 0.523075 1.135349\n", + "... ... ... ... ...\n", + "9995 2.941633 6.019636 -2.977005 5.988568\n", + "9996 4.930781 10.698629 -0.820018 0.804546\n", + "9997 9.390439 18.958498 3.412343 3.766588\n", + "9998 9.723147 19.793700 3.724534 2.475151\n", + "9999 10.024283 19.776029 3.985121 2.878021\n", + "\n", + "[10000 rows x 4 columns]" + ] + }, + "execution_count": 6, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "df" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Estimand type: EstimandType.NONPARAMETRIC_ATE\n", + "\n", + "### Estimand : 1\n", + "Estimand name: backdoor\n", + "Estimand expression:\n", + " d \n", + "────────────(E[Outcome|w0])\n", + "d[Treatment] \n", + "Estimand assumption 1, Unconfoundedness: If U→{Treatment} and U→Outcome then P(Outcome|Treatment,w0,U) = P(Outcome|Treatment,w0)\n", + "\n", + "### Estimand : 2\n", + "Estimand name: iv\n", + "No such variable(s) found!\n", + "\n", + "### Estimand : 3\n", + "Estimand name: frontdoor\n", + "No such variable(s) found!\n", + "\n" + ] + } + ], + "source": [ + "from dowhy.causal_graph import CausalGraph\n", + "from dowhy.causal_identifier import identify_effect\n", + "\n", + "\n", + "graph = CausalGraph(\n", + " data_dict[\"treatment_name\"],\n", + " data_dict[\"outcome_name\"],\n", + " common_cause_names=data_dict[\"common_causes_names\"],\n", + " observed_node_names=df.columns.tolist(),\n", + ")\n", + "\n", + "nx_graph = graph._graph\n", + "\n", + "identified_estimand = identify_effect(nx_graph, action_nodes=data_dict[\"treatment_name\"], outcome_nodes=data_dict[\"outcome_name\"], observed_nodes=list(graph.get_all_nodes(include_unobserved=False)))\n", + "print(identified_estimand)" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Estimand type: EstimandType.NONPARAMETRIC_ATE\n", + "\n", + "### Estimand : 1\n", + "Estimand name: backdoor\n", + "Estimand expression:\n", + " d \n", + "────────────(E[Outcome|w0])\n", + "d[Treatment] \n", + "Estimand assumption 1, Unconfoundedness: If U→{Treatment} and U→Outcome then P(Outcome|Treatment,w0,U) = P(Outcome|Treatment,w0)\n", + "\n", + "### Estimand : 2\n", + "Estimand name: iv\n", + "No such variable(s) found!\n", + "\n", + "### Estimand : 3\n", + "Estimand name: frontdoor\n", + "No such variable(s) found!\n", + "\n" + ] + } + ], "source": [ "identified_estimand = model.identify_effect(proceed_when_unidentifiable=True)\n", "print(identified_estimand)" @@ -146,9 +415,87 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 23, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/rahulbshrestha/projects/dowhy/dowhy/causal_estimators/regression_estimator.py:131: FutureWarning: Series.__getitem__ treating keys as positions is deprecated. In a future version, integer keys will always be treated as labels (consistent with DataFrame behavior). To access a value by position, use `ser.iloc[pos]`\n", + " intercept_parameter = self.model.params[0]\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Causal Estimate is -0.001700952159950475\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "from dowhy.causal_estimator import estimate_effect\n", + "\n", + "estimator_method = \"linear_regression\"\n", + "causal_estimator_class = dowhy.causal_estimators.get_class_object(estimator_method + \"_estimator\")\n", + "method_params = {}\n", + "extra_args = {}\n", + "\n", + "causal_estimator = causal_estimator_class(\n", + " identified_estimand,\n", + " **method_params,\n", + " **extra_args,\n", + " )\n", + "\n", + "estimate = estimate_effect(df, method_params=method_params, treatment=data_dict[\"treatment_name\"], outcome=data_dict[\"outcome_name\"], estimator=causal_estimator, identifier_name=\"backdoor\", fit_estimator=True, )#effect_modifiers=effect_modifiers)\n", + "print(\"Causal Estimate is \" + str(estimate.value))\n", + "\n", + "# Plot Slope of line between treamtent and outcome =causal effect \n", + "dowhy.plotter.plot_causal_effect(estimate, df[data_dict[\"treatment_name\"]], df[data_dict[\"outcome_name\"]])" + ] + }, + { + "cell_type": "code", + "execution_count": 21, + "metadata": {}, + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/Users/rahulbshrestha/projects/dowhy/dowhy/causal_estimators/regression_estimator.py:131: FutureWarning: Series.__getitem__ treating keys as positions is deprecated. In a future version, integer keys will always be treated as labels (consistent with DataFrame behavior). To access a value by position, use `ser.iloc[pos]`\n", + " intercept_parameter = self.model.params[0]\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Causal Estimate is -0.001700952159950475\n" + ] + }, + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "estimate = model.estimate_effect(identified_estimand,\n", " method_name=\"backdoor.linear_regression\")\n", @@ -197,7 +544,20 @@ "metadata": {}, "outputs": [], "source": [ - "res_random=model.refute_estimate(identified_estimand, estimate, method_name=\"random_common_cause\")\n", + "from dowhy.causal_refuters import refute_estimate\n", + "\n", + "refuter_class = dowhy.causal_refuters.get_class_object(\"random_common_cause\")\n", + "\n", + "refuters = list()\n", + "refuters.append(refuter_class)\n", + "\n", + "res_random = refute_estimate(data=df, \n", + " treatment_name=data_dict[\"treatment_name\"], \n", + " target_estimand=identified_estimand,\n", + " outcome_name=data_dict[\"outcome_name\"], \n", + " identified_estimand=identified_estimand, \n", + " estimate=estimate,\n", + " refuters=refuters)\n", "print(res_random)" ] }, @@ -214,9 +574,20 @@ "metadata": {}, "outputs": [], "source": [ - "res_placebo=model.refute_estimate(identified_estimand, estimate,\n", - " method_name=\"placebo_treatment_refuter\", placebo_type=\"permute\")\n", - "print(res_placebo)" + "refuter_class = dowhy.causal_refuters.get_class_object(\"placebo_treatment_refuter\")\n", + "\n", + "refuters = list()\n", + "refuters.append(refuter_class)\n", + "\n", + "res_placebo = refute_estimate(data=df, \n", + " treatment_name=data_dict[\"treatment_name\"], \n", + " target_estimand=identified_estimand,\n", + " outcome_name=data_dict[\"outcome_name\"], \n", + " identified_estimand=identified_estimand, \n", + " estimate=estimate,\n", + " refuters=refuters,\n", + " placebo_type=\"permute\")\n", + "print(res_placebo)\n" ] }, { @@ -232,9 +603,20 @@ "metadata": {}, "outputs": [], "source": [ - "res_subset=model.refute_estimate(identified_estimand, estimate,\n", - " method_name=\"data_subset_refuter\", subset_fraction=0.9)\n", - "print(res_subset)\n" + "refuter_class = dowhy.causal_refuters.get_class_object(\"data_subset_refuter\")\n", + "\n", + "refuters = list()\n", + "refuters.append(refuter_class)\n", + "\n", + "res_subset = refute_estimate(data=df, \n", + " treatment_name=data_dict[\"treatment_name\"], \n", + " target_estimand=identified_estimand,\n", + " outcome_name=data_dict[\"outcome_name\"], \n", + " identified_estimand=identified_estimand, \n", + " estimate=estimate,\n", + " refuters=refuters,\n", + " subset_fraction=0.9)\n", + "print(res_subset)" ] }, { @@ -261,7 +643,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.5" + "version": "3.11.8" }, "toc": { "base_numbering": 1, diff --git a/docs/source/example_notebooks/dowhy_interpreter.ipynb b/docs/source/example_notebooks/dowhy_interpreter.ipynb index 1fef134e55..4fab74cbc1 100644 --- a/docs/source/example_notebooks/dowhy_interpreter.ipynb +++ b/docs/source/example_notebooks/dowhy_interpreter.ipynb @@ -14,7 +14,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "metadata": {}, "outputs": [], "source": [ @@ -24,9 +24,18 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 2, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stderr", + "output_type": "stream", + "text": [ + "/opt/homebrew/anaconda3/envs/dowhy/lib/python3.11/site-packages/tqdm/auto.py:21: TqdmWarning: IProgress not found. Please update jupyter and ipywidgets. See https://ipywidgets.readthedocs.io/en/stable/user_install.html\n", + " from .autonotebook import tqdm as notebook_tqdm\n" + ] + } + ], "source": [ "import numpy as np\n", "import pandas as pd\n", @@ -48,9 +57,208 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 3, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "9585\n" + ] + }, + { + "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", + " \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", + " \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", + " \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", + " \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", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + " \n", + "
Z0Z1W0W1W2W3W4v0y
00.00.8665171.5632040.3261441.1019091.8143220True2.105700
11.00.1291800.1235320.047143-0.738444-0.2018072True2.532170
21.00.6088841.298506-0.7578381.4894630.4981622True3.415448
31.00.8206971.416274-0.016657-0.7381311.2526242True2.923847
40.00.175293-0.187661-0.2381751.1980732.6972841True2.496854
..............................
99951.00.0792751.596979-0.2356251.6204302.2120753True4.808887
99961.00.8139910.101808-1.785666-0.1642300.6023732True2.073975
99971.00.0116450.000355-1.4063591.6258041.7116823True3.928092
99981.00.716343-0.917567-0.248302-0.6235611.8755340True0.624727
99991.00.981045-0.279085-1.4573442.2673572.0975671True2.360068
\n", + "

10000 rows × 9 columns

\n", + "
" + ], + "text/plain": [ + " Z0 Z1 W0 W1 W2 W3 W4 v0 y\n", + "0 0.0 0.866517 1.563204 0.326144 1.101909 1.814322 0 True 2.105700\n", + "1 1.0 0.129180 0.123532 0.047143 -0.738444 -0.201807 2 True 2.532170\n", + "2 1.0 0.608884 1.298506 -0.757838 1.489463 0.498162 2 True 3.415448\n", + "3 1.0 0.820697 1.416274 -0.016657 -0.738131 1.252624 2 True 2.923847\n", + "4 0.0 0.175293 -0.187661 -0.238175 1.198073 2.697284 1 True 2.496854\n", + "... ... ... ... ... ... ... .. ... ...\n", + "9995 1.0 0.079275 1.596979 -0.235625 1.620430 2.212075 3 True 4.808887\n", + "9996 1.0 0.813991 0.101808 -1.785666 -0.164230 0.602373 2 True 2.073975\n", + "9997 1.0 0.011645 0.000355 -1.406359 1.625804 1.711682 3 True 3.928092\n", + "9998 1.0 0.716343 -0.917567 -0.248302 -0.623561 1.875534 0 True 0.624727\n", + "9999 1.0 0.981045 -0.279085 -1.457344 2.267357 2.097567 1 True 2.360068\n", + "\n", + "[10000 rows x 9 columns]" + ] + }, + "execution_count": 3, + "metadata": {}, + "output_type": "execute_result" + } + ], "source": [ "data = dowhy.datasets.linear_dataset(beta=1,\n", " num_common_causes=5, \n", @@ -88,7 +296,7 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 4, "metadata": {}, "outputs": [], "source": [ @@ -104,18 +312,40 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 5, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "model.view_model()" ] }, { "cell_type": "code", - "execution_count": null, + "execution_count": 6, "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": "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", + "text/plain": [ + "" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "from IPython.display import Image, display\n", "display(Image(filename=\"causal_model.png\"))" @@ -130,9 +360,108 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 7, + "id": "b3de5bc9", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "text/plain": [ + "'graph[directed 1node[ id \"y\" label \"y\"]node[ id \"W0\" label \"W0\"] node[ id \"W1\" label \"W1\"] node[ id \"W2\" label \"W2\"] node[ id \"W3\" label \"W3\"] node[ id \"W4\" label \"W4\"]node[ id \"Z0\" label \"Z0\"] node[ id \"Z1\" label \"Z1\"]node[ id \"v0\" label \"v0\"]edge[source \"v0\" target \"y\"]edge[ source \"W0\" target \"v0\"] edge[ source \"W1\" target \"v0\"] edge[ source \"W2\" target \"v0\"] edge[ source \"W3\" target \"v0\"] edge[ source \"W4\" target \"v0\"]edge[ source \"Z0\" target \"v0\"] edge[ source \"Z1\" target \"v0\"]edge[ source \"W0\" target \"y\"] edge[ source \"W1\" target \"y\"] edge[ source \"W2\" target \"y\"] edge[ source \"W3\" target \"y\"] edge[ source \"W4\" target \"y\"]]'" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "from dowhy.causal_graph import CausalGraph\n", + "\n", + "graph = data[\"gml_graph\"]\n", + "graph" + ] + }, + { + "cell_type": "code", + "execution_count": 8, + "id": "275a9b34", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Estimand type: EstimandType.NONPARAMETRIC_ATE\n", + "\n", + "### Estimand : 1\n", + "Estimand name: backdoor\n", + "Estimand expression:\n", + " d \n", + "─────(E[y|W4,W3,W2,W0,W1])\n", + "d[v₀] \n", + "Estimand assumption 1, Unconfoundedness: If U→{v0} and U→y then P(y|v0,W4,W3,W2,W0,W1,U) = P(y|v0,W4,W3,W2,W0,W1)\n", + "\n", + "### Estimand : 2\n", + "Estimand name: iv\n", + "Estimand expression:\n", + " ⎡ -1⎤\n", + " ⎢ d ⎛ d ⎞ ⎥\n", + "E⎢─────────(y)⋅⎜─────────([v₀])⎟ ⎥\n", + " ⎣d[Z₁ Z₀] ⎝d[Z₁ Z₀] ⎠ ⎦\n", + "Estimand assumption 1, As-if-random: If U→→y then ¬(U →→{Z1,Z0})\n", + "Estimand assumption 2, Exclusion: If we remove {Z1,Z0}→{v0}, then ¬({Z1,Z0}→y)\n", + "\n", + "### Estimand : 3\n", + "Estimand name: frontdoor\n", + "No such variable(s) found!\n", + "\n" + ] + } + ], + "source": [ + "from dowhy.causal_identifier import identify_effect\n", + "\n", + "identified_estimand = identify_effect(model._graph._graph, action_nodes=data[\"treatment_name\"], outcome_nodes=data[\"outcome_name\"], observed_nodes=list(model._graph.get_all_nodes()))\n", + "print(identified_estimand)" + ] + }, + { + "cell_type": "code", + "execution_count": 9, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Estimand type: EstimandType.NONPARAMETRIC_ATE\n", + "\n", + "### Estimand : 1\n", + "Estimand name: backdoor\n", + "Estimand expression:\n", + " d \n", + "─────(E[y|W4,W3,W2,W0,W1])\n", + "d[v₀] \n", + "Estimand assumption 1, Unconfoundedness: If U→{v0} and U→y then P(y|v0,W4,W3,W2,W0,W1,U) = P(y|v0,W4,W3,W2,W0,W1)\n", + "\n", + "### Estimand : 2\n", + "Estimand name: iv\n", + "Estimand expression:\n", + " ⎡ -1⎤\n", + " ⎢ d ⎛ d ⎞ ⎥\n", + "E⎢─────────(y)⋅⎜─────────([v₀])⎟ ⎥\n", + " ⎣d[Z₁ Z₀] ⎝d[Z₁ Z₀] ⎠ ⎦\n", + "Estimand assumption 1, As-if-random: If U→→y then ¬(U →→{Z1,Z0})\n", + "Estimand assumption 2, Exclusion: If we remove {Z1,Z0}→{v0}, then ¬({Z1,Z0}→y)\n", + "\n", + "### Estimand : 3\n", + "Estimand name: frontdoor\n", + "No such variable(s) found!\n", + "\n" + ] + } + ], "source": [ "identified_estimand = model.identify_effect(proceed_when_unidentifiable=True)\n", "print(identified_estimand)" @@ -149,13 +478,122 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 10, + "id": "06075f87", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "*** Causal Estimate ***\n", + "\n", + "## Identified estimand\n", + "Estimand type: EstimandType.NONPARAMETRIC_ATE\n", + "\n", + "### Estimand : 1\n", + "Estimand name: backdoor\n", + "Estimand expression:\n", + " d \n", + "─────(E[y|W4,W3,W2,W0,W1])\n", + "d[v₀] \n", + "Estimand assumption 1, Unconfoundedness: If U→{v0} and U→y then P(y|v0,W4,W3,W2,W0,W1,U) = P(y|v0,W4,W3,W2,W0,W1)\n", + "\n", + "## Realized estimand\n", + "b: y~v0+W4+W3+W2+W0+W1\n", + "Target units: att\n", + "\n", + "## Estimate\n", + "Mean value: 1.0219082036507277\n", + "\n", + "Causal Estimate is 1.0219082036507277\n" + ] + } + ], + "source": [ + "from dowhy.causal_estimator import estimate_effect\n", + "\n", + "estimator_method = \"propensity_score_stratification\"\n", + "causal_estimator_class = dowhy.causal_estimators.get_class_object(estimator_method + \"_estimator\")\n", + "effect_modifiers = model._graph.get_effect_modifiers(data[\"treatment_name\"], data[\"outcome_name\"])\n", + "method_params = {}\n", + "extra_args = {}\n", + "\n", + "causal_estimator = causal_estimator_class(\n", + " identified_estimand,\n", + " **method_params,\n", + " **extra_args,\n", + " )\n", + "\n", + "causal_estimate_strat = estimate_effect(df, method_params=method_params, treatment=data[\"treatment_name\"], outcome=data[\"outcome_name\"], estimator=causal_estimator, identifier_name=\"backdoor\", target_units=\"att\", fit_estimator=True, effect_modifiers=effect_modifiers)\n", + "\n", + "\n", + "print(causal_estimate_strat)\n", + "print(\"Causal Estimate is \" + str(causal_estimate_strat.value))" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "6cafe81b", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "dowhy.causal_estimators.propensity_score_stratification_estimator.PropensityScoreStratificationEstimator" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "causal_estimator_class" + ] + }, + { + "cell_type": "code", + "execution_count": 12, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "*** Causal Estimate ***\n", + "\n", + "## Identified estimand\n", + "Estimand type: EstimandType.NONPARAMETRIC_ATE\n", + "\n", + "### Estimand : 1\n", + "Estimand name: backdoor\n", + "Estimand expression:\n", + " d \n", + "─────(E[y|W4,W3,W2,W0,W1])\n", + "d[v₀] \n", + "Estimand assumption 1, Unconfoundedness: If U→{v0} and U→y then P(y|v0,W4,W3,W2,W0,W1,U) = P(y|v0,W4,W3,W2,W0,W1)\n", + "\n", + "## Realized estimand\n", + "b: y~v0+W4+W3+W2+W0+W1\n", + "Target units: att\n", + "\n", + "## Estimate\n", + "Mean value: 1.0219082036507277\n", + "\n", + "Causal Estimate is 1.0219082036507277\n" + ] + } + ], "source": [ "causal_estimate_strat = model.estimate_effect(identified_estimand,\n", " method_name=\"backdoor.propensity_score_stratification\",\n", " target_units=\"att\")\n", + "\n", + "\n", + "\n", + "\n", "print(causal_estimate_strat)\n", "print(\"Causal Estimate is \" + str(causal_estimate_strat.value))" ] @@ -171,9 +609,17 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 13, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Increasing the treatment variable(s) [v0] from 0 to 1 causes an increase of 1.0219082036507277 in the expected value of the outcome [['y']], over the data distribution/population represented by the dataset.\n" + ] + } + ], "source": [ "# Textual Interpreter\n", "interpretation = causal_estimate_strat.interpret(method_name=\"textual_effect_interpreter\")" @@ -221,9 +667,93 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 14, + "id": "05d13d87", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "*** Causal Estimate ***\n", + "\n", + "## Identified estimand\n", + "Estimand type: EstimandType.NONPARAMETRIC_ATE\n", + "\n", + "### Estimand : 1\n", + "Estimand name: backdoor\n", + "Estimand expression:\n", + " d \n", + "─────(E[y|W4,W3,W2,W0,W1])\n", + "d[v₀] \n", + "Estimand assumption 1, Unconfoundedness: If U→{v0} and U→y then P(y|v0,W4,W3,W2,W0,W1,U) = P(y|v0,W4,W3,W2,W0,W1)\n", + "\n", + "## Realized estimand\n", + "b: y~v0+W4+W3+W2+W0+W1\n", + "Target units: atc\n", + "\n", + "## Estimate\n", + "Mean value: 0.9873350447444257\n", + "\n", + "Causal Estimate is 0.9873350447444257\n" + ] + } + ], + "source": [ + "from dowhy.causal_estimator import estimate_effect\n", + "\n", + "estimator_method = \"propensity_score_matching\"\n", + "causal_estimator_class = dowhy.causal_estimators.get_class_object(estimator_method + \"_estimator\")\n", + "effect_modifiers = model._graph.get_effect_modifiers(data[\"treatment_name\"], data[\"outcome_name\"])\n", + "method_params = {}\n", + "extra_args = {}\n", + "\n", + "causal_estimator = causal_estimator_class(\n", + " identified_estimand,\n", + " **method_params,\n", + " **extra_args,\n", + " )\n", + "\n", + "causal_estimate_match = estimate_effect(df, method_params=method_params, treatment=data[\"treatment_name\"], outcome=data[\"outcome_name\"], estimator=causal_estimator, identifier_name=\"backdoor\", target_units=\"atc\", fit_estimator=True, effect_modifiers=effect_modifiers)\n", + "\n", + "\n", + "print(causal_estimate_match)\n", + "print(\"Causal Estimate is \" + str(causal_estimate_match.value))" + ] + }, + { + "cell_type": "code", + "execution_count": 15, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "*** Causal Estimate ***\n", + "\n", + "## Identified estimand\n", + "Estimand type: EstimandType.NONPARAMETRIC_ATE\n", + "\n", + "### Estimand : 1\n", + "Estimand name: backdoor\n", + "Estimand expression:\n", + " d \n", + "─────(E[y|W4,W3,W2,W0,W1])\n", + "d[v₀] \n", + "Estimand assumption 1, Unconfoundedness: If U→{v0} and U→y then P(y|v0,W4,W3,W2,W0,W1,U) = P(y|v0,W4,W3,W2,W0,W1)\n", + "\n", + "## Realized estimand\n", + "b: y~v0+W4+W3+W2+W0+W1\n", + "Target units: atc\n", + "\n", + "## Estimate\n", + "Mean value: 0.9873350447444257\n", + "\n", + "Causal Estimate is 0.9873350447444257\n" + ] + } + ], "source": [ "causal_estimate_match = model.estimate_effect(identified_estimand,\n", " method_name=\"backdoor.propensity_score_matching\",\n", @@ -234,9 +764,17 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 16, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Increasing the treatment variable(s) [v0] from 0 to 1 causes an increase of 0.9873350447444257 in the expected value of the outcome [['y']], over the data distribution/population represented by the dataset.\n" + ] + } + ], "source": [ "# Textual Interpreter\n", "interpretation = causal_estimate_match.interpret(method_name=\"textual_effect_interpreter\")" @@ -263,9 +801,92 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 17, + "id": "cb4cd4b7", "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "*** Causal Estimate ***\n", + "\n", + "## Identified estimand\n", + "Estimand type: EstimandType.NONPARAMETRIC_ATE\n", + "\n", + "### Estimand : 1\n", + "Estimand name: backdoor\n", + "Estimand expression:\n", + " d \n", + "─────(E[y|W4,W3,W2,W0,W1])\n", + "d[v₀] \n", + "Estimand assumption 1, Unconfoundedness: If U→{v0} and U→y then P(y|v0,W4,W3,W2,W0,W1,U) = P(y|v0,W4,W3,W2,W0,W1)\n", + "\n", + "## Realized estimand\n", + "b: y~v0+W4+W3+W2+W0+W1\n", + "Target units: ate\n", + "\n", + "## Estimate\n", + "Mean value: 1.6834703508145143\n", + "\n", + "Causal Estimate is 1.6834703508145143\n" + ] + } + ], + "source": [ + "from dowhy.causal_estimator import estimate_effect\n", + "\n", + "estimator_method = \"propensity_score_weighting\"\n", + "causal_estimator_class = dowhy.causal_estimators.get_class_object(estimator_method + \"_estimator\")\n", + "effect_modifiers = model._graph.get_effect_modifiers(data[\"treatment_name\"], data[\"outcome_name\"])\n", + "method_params = {\"weighting_scheme\":\"ips_weight\"}\n", + "extra_args = {}\n", + "\n", + "causal_estimator = causal_estimator_class(\n", + " identified_estimand,\n", + " **method_params,\n", + " **extra_args,\n", + " )\n", + "\n", + "causal_estimate_match = estimate_effect(df, method_params=method_params, treatment=data[\"treatment_name\"], outcome=data[\"outcome_name\"], estimator=causal_estimator, identifier_name=\"backdoor\", target_units=\"ate\", fit_estimator=True, effect_modifiers=effect_modifiers)\n", + "\n", + "print(causal_estimate_match)\n", + "print(\"Causal Estimate is \" + str(causal_estimate_match.value))" + ] + }, + { + "cell_type": "code", + "execution_count": 18, + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "*** Causal Estimate ***\n", + "\n", + "## Identified estimand\n", + "Estimand type: EstimandType.NONPARAMETRIC_ATE\n", + "\n", + "### Estimand : 1\n", + "Estimand name: backdoor\n", + "Estimand expression:\n", + " d \n", + "─────(E[y|W4,W3,W2,W0,W1])\n", + "d[v₀] \n", + "Estimand assumption 1, Unconfoundedness: If U→{v0} and U→y then P(y|v0,W4,W3,W2,W0,W1,U) = P(y|v0,W4,W3,W2,W0,W1)\n", + "\n", + "## Realized estimand\n", + "b: y~v0+W4+W3+W2+W0+W1\n", + "Target units: ate\n", + "\n", + "## Estimate\n", + "Mean value: 1.6834703508145143\n", + "\n", + "Causal Estimate is 1.6834703508145143\n" + ] + } + ], "source": [ "causal_estimate_ipw = model.estimate_effect(identified_estimand,\n", " method_name=\"backdoor.propensity_score_weighting\",\n", @@ -277,9 +898,17 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 19, "metadata": {}, - "outputs": [], + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "Increasing the treatment variable(s) [v0] from 0 to 1 causes an increase of 1.6834703508145143 in the expected value of the outcome [['y']], over the data distribution/population represented by the dataset.\n" + ] + } + ], "source": [ "# Textual Interpreter\n", "interpretation = causal_estimate_ipw.interpret(method_name=\"textual_effect_interpreter\")" @@ -293,13 +922,6 @@ "source": [ "interpretation = causal_estimate_ipw.interpret(method_name=\"confounder_distribution_interpreter\", fig_size=(8,8), font_size=12, var_name='W4', var_type='discrete')" ] - }, - { - "cell_type": "code", - "execution_count": null, - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { @@ -318,7 +940,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.8.5" + "version": "3.11.8" }, "toc": { "base_numbering": 1,