From 9be08ccb5ddcd5d778da5b717643c15120df20cb Mon Sep 17 00:00:00 2001 From: Anthonia Date: Mon, 5 Jan 2026 23:58:10 -0600 Subject: [PATCH 1/2] assignment-1 submission --- .../a1_sampling_and_reproducibility.ipynb | 80 ++++++++++++++++++- 1 file changed, 77 insertions(+), 3 deletions(-) diff --git a/02_activities/assignments/a1_sampling_and_reproducibility.ipynb b/02_activities/assignments/a1_sampling_and_reproducibility.ipynb index 11852458..eb489be5 100644 --- a/02_activities/assignments/a1_sampling_and_reproducibility.ipynb +++ b/02_activities/assignments/a1_sampling_and_reproducibility.ipynb @@ -59,7 +59,18 @@ "execution_count": null, "id": "ab8587a0", "metadata": {}, - "outputs": [], + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], "source": [ "# Import necessary libraries\n", "import pandas as pd\n", @@ -107,13 +118,28 @@ " ppl['traced'] = ppl['traced'].astype(pd.BooleanDtype())\n", "\n", " # Infect a random subset of people\n", + " #THE TYPE OF SAMPLING TECHNIQUE USED FOR THE INFECTED_INDICES IS SIMPLE RANDOM SAMPLING WITHOUT REPLACEMENT WHERE WE EXAMINE 10% OF THE INDIVIDUALS (SAMPLE FRAME POPULATION) \n", + " #FROM THE POPULATION OF 1000 INDIVIDUALS (TARGET POPULATION)\n", + " #\n", " infected_indices = np.random.choice(ppl.index, size=int(len(ppl) * ATTACK_RATE), replace=False)\n", " ppl.loc[infected_indices, 'infected'] = True\n", "\n", + "\n", " # Primary contact tracing: randomly decide which infected people get traced\n", + "\n", + " #IN THIS STEP, I THINK WE ARE USING PROBABILITY SAMPLING TECHNIQUE WHERE EACH INFECTED INDIVIDUAL HAS A 20% CHANCE OF BEING TRACED. \n", + " #Each infected person (SAMPLING UNIT) is independently traced with probability OF TRACE_SUCCESS= 0.20. \n", + " # This might introuduce some bias if the tracing success is not uniform across all infected individuals. \n", + " #Each infected individual has an equal chance of being traced, which may not reflect real-world scenarios where certain groups might be more or less likely to be traced.\n", + "\n", " ppl.loc[ppl['infected'], 'traced'] = np.random.rand(sum(ppl['infected'])) < TRACE_SUCCESS\n", "\n", " # Secondary contact tracing based on event attendance\n", + " #This step involves identifying events where at least SECONDARY_TRACE_THRESHOLD infected individuals have already been traced. \n", + " #All infected individuals who attended these events are then marked as traced.\n", + " # However, this approach assumes that once an event is identified as having traced individuals, all other infected attendees can be traced as well, which may not always be feasible in practice due to resource constraints or other factors.)\n", + " # Also it seems like the sampling frame used here is CLUSTER SAMPLING WHERE THE CLUSTERS ARE THE EVENTS (WEDDINGS AND BRUNCHES).\n", + "\n", " event_trace_counts = ppl[ppl['traced'] == True]['event'].value_counts()\n", " events_traced = event_trace_counts[event_trace_counts >= SECONDARY_TRACE_THRESHOLD].index\n", " ppl.loc[ppl['event'].isin(events_traced) & ppl['infected'], 'traced'] = True\n", @@ -146,6 +172,54 @@ "plt.show()" ] }, + { + "cell_type": "code", + "execution_count": null, + "id": "4c563949", + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", 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WLVWuXDnX2UNJcnJy0qxZszR06FC1bdtW/fv3V2pqqhYsWKCQkBA999xzRXbs0o2AvXLlStWvX9961r9JkyZyd3fX0aNH9dhjj91xjJsh8dlnn1Xnzp3l6OioRx99tEjq++CDD/Tzzz/rypUrkqRvv/1W06ZNkyQNHDjQerZ1xIgRWrp0qR566CFNmDBBTk5Omjdvnvz9/TV+/HjreG5ubnr11Vc1cuRI9enTR507d9aWLVv04Ycf6rXXXpOvr2+h6qxZs6amTZumSZMm6fjx4+rZs6c8PT2VlJSkzz77TE899ZQmTJhg7V+lShXNmjVLx48fV+3atfXRRx9p3759evfdd+Xk5GQ9vo8//lhPP/20YmJi1LJlS2VnZ+vIkSP6+OOPtWHDBuvVIOHh4fr66681b948ValSRdWrV1fz5s3zrNWec/Fvf/ubzp07pw4dOqhq1ar6+eef9dZbb6lRo0aqW7dugccDANyG3Z6bDgAocdatW2c88cQTRlhYmOHh4WE4OzsbtWrVMkaPHm2kpqba9L3VR4bt3LnTpt/Nj3Y6c+aMTfvgwYMNd3d3m7YzZ84YvXv3NsqXL29UqFDBGD58uHHo0KF8fWTY559/bjRo0MBwdXU1QkJCjFmzZhnvvfdero9pOnXqlPHQQw8Znp6ehiTrRzbd6iPLPvroI6Nx48aGi4uL4evrawwYMMD45Zdf7ngst6rzVm5+pNYzzzxj0x4ZGWlIMjZt2mTTntdHhl2/ft0YPXq0UalSJcNisVj3fbPv66+/nmu/usXHf/3RzY/Xyuv1x/fsxIkTxiOPPGJ4eXkZHh4exl/+8hcjISEhz3Hfffddo06dOoazs7NRs2ZNY/78+TYfOXcrt5pXN3366adGq1atDHd3d8Pd3d0ICwszRo4cacTHx9scU7169Yxdu3YZERERhqurq1GtWjXj7bffzjVeVlaWMWvWLKNevXqGi4uLUaFCBSM8PNyYOnWqceHCBWu/I0eOGG3atDHc3NwMSdZ/I3l9ZJg95+Inn3xiPPjgg0blypUNZ2dnIzg42Bg+fLiRkpKS5/sJACg8i2EU0dNTAAAASpF27dopLS1Nhw4dsncpAIAyjHu6AQAAAAAwCaEbAAAAAACTELoBAAAAADAJ93QDAAAAAGASznQDAAAAAGASQjcAAAAAACYpZ+8CzJaTk6OTJ0/K09NTFovF3uUAAAAAAMoAwzB06dIlValSRQ4Otz6fXeZD98mTJxUUFGTvMgAAAAAAZdCJEydUtWrVW64v86Hb09NT0o03wsvLy87VAAAAAADKgosXLyooKMiaOW+lzIfum5eUe3l5EboBAAAAAEXqTrcx8yA1AAAAAABMQugGAAAAAMAkhG4AAAAAAExS5u/pBgAAAEqz7OxsXbt2zd5lAH86Tk5OcnR0vOtxCN0AAABACWQYhk6dOqXz58/buxTgT8vHx0cBAQF3fFja7RC6AQAAgBLoZuCuXLmyypcvf1e/9AMoGMMwdOXKFZ0+fVqSFBgYWOixCN0AAABACZOdnW0N3BUrVrR3OcCfkpubmyTp9OnTqly5cqEvNedBagAAAEAJc/Me7vLly9u5EuDP7ea/wbt5rgKhGwAAACihuKQcsK+i+DdI6AYAAAAAwCTc0w0AAACUIsnJyUpLSyu2/fn5+Sk4ONjUfZw6dUoDBw7U999/LycnJ9Oe2L58+XKNHTvWrk+ENwxDw4cP1yeffKLffvtNe/fuVaNGjexWT3HKz/s/ZcoUrVmzRvv27ZMkDRkyROfPn9eaNWuKpUYzELoBAACAUiI5OVlhYXV19eqVYtunm1t5HTkSl+/gXZiQNH/+fKWkpGjfvn3y9vYuZKW2QkJCNHbsWI0dO9ba1q9fP3Xr1q1Ixi+s9evXa/ny5YqNjVWNGjXk5+dn13pefPFFrVmzRkeOHLG2HTlyRHXr1tXgwYO1fPlya/vy5cs1fPhwnT9/3vqQMbMtWLBAhmEUy77MQugGAAAASom0tDRdvXpFzZ+IkldgiOn7u5hyXDvem6q0tDRTz3YnJiYqPDxcoaGhpu1DuvE06uIKi7eSmJiowMBAPfDAA7fsk5WVJWdn52Kpp3379po1a5ZOnTqlgIAASVJMTIyCgoIUGxtr0zcmJkYtWrQo1vewqP4IY0/c0w0AAACUMl6BIfINrmP6qyiCfbt27fTss89q4sSJ8vX1VUBAgKZMmWJdHxISok8//VTvv/++LBaLhgwZIkk6f/68/va3v6lSpUry8vJShw4dtH//fpuxv/jiCzVr1kyurq7y8/PTww8/bN3nzz//rOeee04Wi8X6MKzly5fLx8fHZozFixerZs2acnZ2Vp06dfTBBx/YrLdYLPrnP/+phx9+WOXLl1doaKg+//xz6/rffvtNAwYMUKVKleTm5qbQ0FBFR0fn+V4MGTJEo0ePVnJysiwWi0JCQqz1jho1SmPHjpWfn586d+4sSdq8ebPuv/9+ubi4KDAwUC+++KKuX79u896OHj1aY8eOVYUKFeTv76+lS5fq8uXLGjp0qDw9PVWrVi2tW7fult+fVq1aycnJySZgx8bGauTIkTp37pyOHz9u096+fXtJUmZmpiZMmKB77rlH7u7uat68ea6Qvnz5cgUHB6t8+fJ6+OGHdfbs2Vz7nzlzpvz9/eXp6alhw4YpIyMj13vWs2dPm2O+3XySbpypb9WqlVxdXXXvvffq66+/lsVisV59kZWVpVGjRikwMFCurq6qVq2aZsyYccv36G4RugEAAACYasWKFXJ3d9eOHTs0e/ZsvfLKK9q4caMkaefOnerSpYv69u2rlJQULViwQJLUp08fnT59WuvWrdPu3bvVpEkTdezYUefOnZMk/e9//9PDDz+sbt26ae/evdq0aZPuv/9+SdLq1atVtWpVvfLKK0pJSVFKSkqedX322WcaM2aMxo8fr0OHDmn48OEaOnSoYmJibPpNnTpVffv21YEDB9StWzcNGDDAWsc//vEPHT58WOvWrVNcXJwWL158y0vGFyxYoFdeeUVVq1ZVSkqKdu7cafMeOTs7a+vWrVqyZIl+/fVXdevWTc2aNdP+/fu1ePFiLVu2TNOmTcv13vr5+emHH37Q6NGj9cwzz6hPnz564IEHtGfPHj344IMaOHCgrlzJ+5YEd3d3NWvWzOaYY2Nj1bFjR7Vs2dLafuzYMSUnJ1tD96hRo7Rt2zatXLlSBw4cUJ8+fdSlSxclJCRIknbs2KFhw4Zp1KhR2rdvn9q3b5+r9o8//lhTpkzR9OnTtWvXLgUGBmrRokV51vnHY77VfMrOzlbPnj1Vvnx57dixQ++++64mT55ss/2bb76pzz//XB9//LHi4+P1r3/9y/oHEDNweTkAAAAAUzVo0EBRUVGSpNDQUL399tvatGmTOnXqpEqVKsnFxUVubm7Wy5u/++47/fDDDzp9+rRcXFwkSXPmzNGaNWv0ySef6KmnntJrr72mRx99VFOnTrXup2HDhpIkX19fOTo6ytPT0zpmXubMmaMhQ4ZoxIgRkqRx48Zp+/btmjNnjjVcSjfOtvbv31+SNH36dL355pv64Ycf1KVLFyUnJ6tx48Zq2rSpJN02vHl7e8vT01OOjo656goNDdXs2bOty5MnT1ZQUJDefvttWSwWhYWF6eTJk3rhhRf08ssvy8HBwXrML730kiRp0qRJmjlzpvz8/PTkk09Kkl5++WUtXrxYBw4cUIsWLfKsq3379lq1apUk6fDhw8rIyFDjxo3Vpk0bxcbGaujQoYqNjZWrq6tatGih5ORkRUdHKzk5WVWqVJEkTZgwQevXr1d0dLSmT5+uBQsWqEuXLpo4caIkqXbt2vr++++1fv16637feOMNDRs2TMOGDZMkTZs2TV9//XWus91/dLv5tHHjRiUmJio2Ntb6Hr/22mvq1KmTdfvk5GSFhoaqVatWslgsqlat2m33d7c40w0AAADAVA0aNLBZDgwM1OnTp2/Zf//+/UpPT1fFihXl4eFhfSUlJSkxMVGStG/fPnXs2PGu6oqLi1PLli1t2lq2bKm4uLhb1u/u7i4vLy9r/c8884xWrlypRo0aaeLEifr+++8LVUt4eHiu2iIiImw+J7ply5ZKT0/XL7/8kmdtjo6OqlixourXr29t8/f3l6Tbvt/t2rXT0aNHlZKSotjYWLVq1UqOjo5q27at9ZLx2NhYPfDAA3JxcdHBgweVnZ2t2rVr23x/Nm/ebP3+xMXFqXnz5jb7iYiIyHWMd+qTl9vNp/j4eAUFBdn8UePmFRA3DRkyRPv27VOdOnX07LPP6quvvrrjPu8GZ7oBAAAAmMrJyclm2WKxKCcn55b909PTFRgYmOseYUnWe7KL82Fet6u/a9eu+vnnn7V27Vpt3LhRHTt21MiRIzVnzpwC7cPd3b3Iavt9283Qfrv3u2XLlnJ2dlZMTIxiYmLUtm1bSVKzZs2UlpamY8eOKTY2VsOHD5d04/vj6Oio3bt3y9HR0WYsDw+PQh1HQRR0Pv1RkyZNlJSUpHXr1unrr79W3759FRkZqU8++aSoS5XEmW4AAAAAJUyTJk106tQplStXTrVq1bJ53bxfukGDBtq0adMtx3B2dlZ2dvZt91O3bl1t3brVpm3r1q269957C1RvpUqVNHjwYH344Yd644039O677xZo+1vVtm3bNpuPy9q6das8PT1VtWrVux7/99zc3KwPQtu8ebPatWsn6Ua4bdGihZYtW6YTJ05YL7lv3LixsrOzdfr06Vzfn5tnmOvWrasdO3bY7Gf79u25jvFOfQqqTp06OnHihFJTU61tv793/iYvLy/169dPS5cu1UcffaRPP/3Uep9+UeNMNwAAAIASJTIyUhEREerZs6dmz56t2rVr6+TJk9aHpzVt2lRRUVHq2LGjatasqUcffVTXr1/X2rVr9cILL0i6cW/1t99+q0cffVQuLi55Ptzs+eefV9++fdW4cWNFRkbqiy++0OrVq/X111/nu9aXX35Z4eHhqlevnjIzM/Xll1+qbt26d/0ejBgxQm+88YZGjx6tUaNGKT4+XlFRURo3bpz1fu6i1L59e82fP1/SjT963NS2bVvNmTPH+sA16cb92QMGDNCgQYM0d+5cNW7cWGfOnNGmTZvUoEEDPfTQQ3r22WfVsmVLzZkzRz169NCGDRts7ueWpDFjxmjIkCFq2rSpWrZsqX/961/68ccfVaNGjUIfR6dOnVSzZk0NHjxYs2fP1qVLl6z3vN886z9v3jwFBgaqcePGcnBw0KpVqxQQEJDryfZFhdANAACUnJystLQ0e5eBUsTPz8/Uz23G7V1MOV6m9vNHFotFa9eu1eTJkzV06FCdOXNGAQEBatOmjfUe5Xbt2mnVqlV69dVXNXPmTHl5ealNmzbWMV555RUNHz5cNWvWVGZmps0Z45t69uypBQsWaM6cORozZoyqV6+u6Oho65ne/HB2dtakSZN0/Phxubm5qXXr1lq5cuVdvwf33HOP1q5dq+eff14NGzaUr6+vhg0bZg2QRa19+/Z65ZVX1KVLF5Ur9/9jYtu2bRUVFaXOnTvbXNYdHR2tadOmafz48fr111/l5+enFi1a6C9/+YskqUWLFlq6dKmioqL08ssvKzIyUi+99JJeffVV6xj9+vVTYmKiJk6cqIyMDPXu3VvPPPOMNmzYUOjjcHR01Jo1a/S3v/1NzZo1U40aNfT666+re/fucnV1lSR5enpq9uzZSkhIkKOjo5o1a6a1a9ea8scMSbIYec2+MuTixYvy9vbWhQsX5OXlZe9yAAAocZKTkxUWVldXr+b9cTJAXtzcyuvIkTiCt0kyMjKUlJSk6tWrW4OCZJ9/r3yvUdpt3bpVrVq10k8//aSaNWsWaNtb/VuU8p81OdMNAMCfXFpamq5evaLmT0TJKzDE3uWgFLiYclw73puqtLQ0glgxCw4O1pEjccV6ZQpXNaC0+eyzz+Th4aHQ0FD99NNPGjNmjFq2bFngwF1UCN0AAECS5BUYIt/gOvYuA8AdBAcHE4KB27h06ZJeeOEFJScny8/PT5GRkZo7d67d6iF0AwAAAADKjEGDBmnQoEH2LsOKjwwDAAAAAMAkhG4AAAAAAExC6AYAAAAAwCSEbgAAAAAATELoBgAAAADAJIRuAAAAAABMwkeGAQAAAKVIcnKy0tLSim1/fn5+ZfJzwdu1a6dGjRrpjTfesHcpRWbIkCE6f/681qxZc8s+fzzukJAQjR07VmPHji2WGv+MCN0AAABAKZGcnKy6YXV05WpGse2zvJur4o7E5yt4WyyW266PiorSlClTiqgyc02ZMkVr1qzRvn377mqcFi1aqFGjRlqyZIm1bcmSJXrmmWcUHR2tIUOGWNuHDBmixMREbdmy5a72WRA7d+6Uu7t7se3vz4jQDQAAAJQSaWlpunI1Qx8+1Uh1Az1M319cSroef3ef0tLS8hW6U1JSrF9/9NFHevnllxUfH29t8/D4/zUbhqHs7GyVK1e2I0n79u312Wef2bTFxMQoKChIsbGxNqE7NjZWgwcPLtb6KlWqVKz7+zPinm4AAACglKkb6KEmId6mvwoa7AMCAqwvb29vWSwW6/KRI0fk6empdevWKTw8XC4uLvruu++UmJioHj16yN/fXx4eHmrWrJm+/vprm3EzMzP1wgsvKCgoSC4uLqpVq5aWLVtmXX/o0CF17dpVHh4e8vf318CBA20uwb98+bIGDRokDw8PBQYGau7cubc9juXLl2vq1Knav3+/LBaLLBaLli9fLunG1QY9evSQh4eHvLy81LdvX6Wmpt5yrPbt2ys+Pl6nTp2ytm3evFkvvviiYmNjrW1JSUn6+eef1b59e0nSiRMn1LdvX/n4+MjX11c9evTQ8ePHrf2zs7M1btw4+fj4qGLFipo4caIMw7DZd36OOyQkxOYSe4vFon/+8596+OGHVb58eYWGhurzzz+32ebzzz9XaGioXF1d1b59e61YsUIWi0Xnz5+XJP3888/q3r27KlSoIHd3d9WrV09r16693VtephG6AQAAABSbF198UTNnzlRcXJwaNGig9PR0devWTZs2bdLevXvVpUsXde/eXcnJydZtBg0apP/85z968803FRcXp3feecd61vz8+fPq0KGDGjdurF27dmn9+vVKTU1V3759rds///zz2rx5s/773//qq6++UmxsrPbs2XPLGvv166fx48erXr16SklJUUpKivr166ecnBz16NFD586d0+bNm7Vx40YdO3ZM/fr1u+VYLVu2lJOTk2JiYiRJhw8f1tWrVzVs2DCdPXtWSUlJkm6c/XZ1dVVERISuXbumzp07y9PTU1u2bNHWrVvl4eGhLl26KCsrS5I0d+5cLV++XO+9956+++47nTt3LtcZ9YIe901Tp05V3759deDAAXXr1k0DBgzQuXPnJN3448Ajjzyinj17av/+/Ro+fLgmT55ss/3IkSOVmZmpb7/9VgcPHtSsWbNsrnL4synb13IAAAAAKFFeeeUVderUybrs6+urhg0bWpdfffVVffbZZ/r88881atQoHT16VB9//LE2btyoyMhISVKNGjWs/d9++201btxY06dPt7a99957CgoK0tGjR1WlShUtW7ZMH374oTp27ChJWrFihapWrXrLGt3c3OTh4aFy5copICDA2r5x40YdPHhQSUlJCgoKkiS9//77qlevnnbu3KlmzZrlGsvd3V3333+/YmNj1b9/f8XGxqpVq1ZycXHRAw88oNjYWFWvXl2xsbGKiIiQi4uLPvzwQ+Xk5Oif//yn9T756Oho+fj4KDY2Vg8++KDeeOMNTZo0Sb169ZJ04z7xDRs2WPebnp5e4OO+aciQIerfv78kafr06XrzzTf1ww8/qEuXLnrnnXdUp04dvf7665KkOnXq6NChQ3rttdes2ycnJ6t3796qX79+ru/XnxFnugEAAAAUm6ZNm9osp6ena8KECapbt658fHzk4eGhuLg465nuffv2ydHRUW3bts1zvP379ysmJkYeHh7WV1hYmCQpMTFRiYmJysrKUvPmza3b+Pr6qk6dOgWuPS4uTkFBQdbALUn33nuvfHx8FBcXd8vt2rVrZ72UPDY2Vu3atZMktW3b1qb95qXl+/fv108//SRPT0/rMfn6+iojI0OJiYm6cOGCUlJSbI6pXLlyNu/t3Rx3gwYNrF+7u7vLy8tLp0+fliTFx8fn+uPC/fffb7P87LPPatq0aWrZsqWioqJ04MCBO+6zLCN0AwAAACg2f3xS9oQJE/TZZ59p+vTp2rJli/bt26f69etbL6N2c3O77Xjp6enq3r279u3bZ/NKSEhQmzZtTDuOgmjfvr2OHj2qX3/9VbGxsdY/INwM3YmJiTpx4oQ6dOgg6cYxhYeH5zqmo0eP6rHHHjO9XicnJ5tli8WinJycfG//t7/9TceOHdPAgQN18OBBNW3aVG+99VZRl1lqELoBAAAA2M3WrVs1ZMgQPfzww6pfv74CAgJsHhhWv3595eTkaPPmzXlu36RJE/34448KCQlRrVq1bF7u7u6qWbOmnJyctGPHDus2v/32m44ePXrbupydnZWdnW3TVrduXZ04cUInTpywth0+fFjnz5/Xvffee8uxHnjgATk7O2vRokXKyMhQeHi4JKlZs2Y6c+aM3nvvPetl6DePKSEhQZUrV851TN7e3vL29lZgYKDNMV2/fl27d++2Lhf2uO+kTp062rVrl03bzp07c/ULCgrS008/rdWrV2v8+PFaunTpXe23NCN0AwAAALCb0NBQrV69Wvv27dP+/fv12GOP2ZxVDQkJ0eDBg/XEE09ozZo1SkpKUmxsrD7++GNJNx7ade7cOfXv3187d+5UYmKiNmzYoKFDhyo7O1seHh4aNmyYnn/+eX3zzTc6dOiQhgwZIgeH20ehkJAQJSUlad++Gx+ZlpmZqcjISNWvX18DBgzQnj179MMPP2jQoEFq27Ztrsvmf8/NzU0tWrTQW2+9pZYtW8rR0VHSjWD/+/abZ5gHDBggPz8/9ejRQ1u2bLEe87PPPqtffvlFkjRmzBjNnDlTa9as0ZEjRzRixAjr08MlFfq472T48OE6cuSIXnjhBev99jef7H7z/vOxY8dqw4YNSkpK0p49exQTE6O6deve1X5LMx6kBgAAAJQycSnpZWY/8+bN0xNPPKEHHnhAfn5+euGFF3Tx4kWbPosXL9bf//53jRgxQmfPnlVwcLD+/ve/S5KqVKmirVu36oUXXtCDDz6ozMxMVatWTV26dLEGzNdff916Gbqnp6fGjx+vCxcu3Lau3r17a/Xq1Wrfvr3Onz+v6OhoDRkyRP/97381evRotWnTRg4ODurSpUu+Lp1u3769vv32W+v93De1bdtWMTEx1vu5Jal8+fL69ttv9cILL6hXr166dOmS7rnnHnXs2FFeXl6SpPHjxyslJUWDBw+Wg4ODnnjiCT388MM2x1WY476T6tWr65NPPtH48eO1YMECRUREaPLkyXrmmWfk4uIi6cbHmY0cOVK//PKLvLy81KVLF82fP/+u9luaWYw/fphbGXPx4kV5e3vrwoUL1gkKAAD+vz179ig8PFydJkfLN7jgDxbCn8+55HhtfG2odu/erSZNmti7nDIpIyNDSUlJql69ulxdXa3tycnJqhtWR1euZhRbLeXdXBV3JF7BwcHFtk+ULq+99pqWLFlic9l9WXGrf4tS/rMmZ7oBAACAUiI4OFhxR+KVlpZWbPv08/MjcMPGokWL1KxZM1WsWFFbt27V66+/rlGjRtm7rBKL0A0AAACUIsHBwYRg2FVCQoKmTZumc+fOKTg4WOPHj9ekSZPsXVaJRegGAAAAAOTb/Pnz/9T3aBcUTy8HAAAAAMAkhG4AAAAAAExC6AYAAABKqN9/XjWA4lcU/wa5pxsAAAAoYZydneXg4KCTJ0+qUqVKcnZ2lsVisXdZwJ+GYRjKysrSmTNn5ODgIGdn50KPRegGAAAAShgHBwdVr15dKSkpOnnypL3LAf60ypcvr+DgYDk4FP4icUI3AAAAUAI5OzsrODhY169fV3Z2tr3LAf50HB0dVa5cubu+yoTQDQAAAJRQFotFTk5OcnJysncpAAqJB6kBAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEruG7ilTpshisdi8wsLCrOszMjI0cuRIVaxYUR4eHurdu7dSU1PtWDEAAAAAAPln9zPd9erVU0pKivX13XffWdc999xz+uKLL7Rq1Spt3rxZJ0+eVK9evexYLQAAAAAA+VfO7gWUK6eAgIBc7RcuXNCyZcv073//Wx06dJAkRUdHq27dutq+fbtatGhR3KUCAAAAAFAgdj/TnZCQoCpVqqhGjRoaMGCAkpOTJUm7d+/WtWvXFBkZae0bFham4OBgbdu27ZbjZWZm6uLFizYvAAAAAADswa6hu3nz5lq+fLnWr1+vxYsXKykpSa1bt9alS5d06tQpOTs7y8fHx2Ybf39/nTp16pZjzpgxQ97e3tZXUFCQyUcBAAAAAEDe7Hp5edeuXa1fN2jQQM2bN1e1atX08ccfy83NrVBjTpo0SePGjbMuX7x4keANAAAAALALu19e/ns+Pj6qXbu2fvrpJwUEBCgrK0vnz5+36ZOamprnPeA3ubi4yMvLy+YFAAAAAIA9lKjQnZ6ersTERAUGBio8PFxOTk7atGmTdX18fLySk5MVERFhxyoBAAAAAMgfu15ePmHCBHXv3l3VqlXTyZMnFRUVJUdHR/Xv31/e3t4aNmyYxo0bJ19fX3l5eWn06NGKiIjgyeUAAAAAgFLBrqH7l19+Uf/+/XX27FlVqlRJrVq10vbt21WpUiVJ0vz58+Xg4KDevXsrMzNTnTt31qJFi+xZMgAAAAAA+WbX0L1y5crbrnd1ddXChQu1cOHCYqoIAAAAAICiU6Lu6QYAAAAAoCwhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgknL2LgAAAJQcl8+dUmb6BXuXgRLuYspxSVJKSop9CwGAUoDQDQAAJElXL5xV7OvDdS0ry96loJTo80hvHYk/quDgYHuXAgAlFqEbAABIkq5duaRrWVma2ae2alQqb+9yUIJdz8rQoSPHNP27TKWlpRG6AeA2CN0AAMBGjUrlde89HvYuAyXYtQwHXUzh0UAAkB/8tAQAAAAAwCSEbgAAAAAATELoBgAAAADAJIRuAAAAAABMQugGAAAAAMAkhG4AAAAAAExC6AYAAAAAwCSEbgAAAAAATELoBgAAAADAJIRuAAAAAABMQugGAAAAAMAkhG4AAAAAAExC6AYAAAAAwCSEbgAAAAAATELoBgAAAADAJIRuAAAAAABMQugGAAAAAMAkhG4AAAAAAExC6AYAAAAAwCSEbgAAAAAATELoBgAAAADAJIRuAAAAAABMQugGAAAAAMAkhG4AAAAAAExC6AYAAAAAwCSEbgAAAAAATELoBgAAAADAJIRuAAAAAABMQugGAAAAAMAkhG4AAAAAAExC6AYAAAAAwCSEbgAAAAAATELoBgAAAADAJIRuAAAAAABMQugGAAAAAMAkJSZ0z5w5UxaLRWPHjrW2ZWRkaOTIkapYsaI8PDzUu3dvpaam2q9IAAAAAAAKoESE7p07d+qdd95RgwYNbNqfe+45ffHFF1q1apU2b96skydPqlevXnaqEgAAAACAgrF76E5PT9eAAQO0dOlSVahQwdp+4cIFLVu2TPPmzVOHDh0UHh6u6Ohoff/999q+fbsdKwYAAAAAIH/sHrpHjhyphx56SJGRkTbtu3fv1rVr12zaw8LCFBwcrG3bthV3mQAAAAAAFFg5e+585cqV2rNnj3bu3Jlr3alTp+Ts7CwfHx+bdn9/f506deqWY2ZmZiozM9O6fPHixSKrFwAAAACAgrDbme4TJ05ozJgx+te//iVXV9ciG3fGjBny9va2voKCgopsbAAAAAAACsJuoXv37t06ffq0mjRponLlyqlcuXLavHmz3nzzTZUrV07+/v7KysrS+fPnbbZLTU1VQEDALcedNGmSLly4YH2dOHHC5CMBAAAAACBvdru8vGPHjjp48KBN29ChQxUWFqYXXnhBQUFBcnJy0qZNm9S7d29JUnx8vJKTkxUREXHLcV1cXOTi4mJq7QAAAAAA5IfdQrenp6fuu+8+mzZ3d3dVrFjR2j5s2DCNGzdOvr6+8vLy0ujRoxUREaEWLVrYo2QAAAAAAArErg9Su5P58+fLwcFBvXv3VmZmpjp37qxFixbZuywAAAAAAPKlRIXu2NhYm2VXV1ctXLhQCxcutE9BAAAAAADcBbt/TjcAAAAAAGUVoRsAAAAAAJMQugEAAAAAMAmhGwAAAAAAkxC6AQAAAAAwCaEbAAAAAACTELoBAAAAADAJoRsAAAAAAJMQugEAAAAAMAmhGwAAAAAAkxC6AQAAAAAwCaEbAAAAAACTELoBAAAAADAJoRsAAAAAAJMQugEAAAAAMAmhGwAAAAAAkxC6AQAAAAAwCaEbAAAAAACTELoBAAAAADAJoRsAAAAAAJMQugEAAAAAMAmhGwAAAAAAkxC6AQAAAAAwCaEbAAAAAACTELoBAAAAADAJoRsAAAAAAJMQugEAAAAAMAmhGwAAAAAAkxC6AQAAAAAwCaEbAAAAAACTELoBAAAAADAJoRsAAAAAAJMQugEAAAAAMAmhGwAAAAAAkxC6AQAAAAAwCaEbAAAAAACTELoBAAAAADAJoRsAAAAAAJMQugEAAAAAMAmhGwAAAAAAkxC6AQAAAAAwCaEbAAAAAACTELoBAAAAADAJoRsAAAAAAJMQugEAAAAAMEmhQvexY8eKug4AAAAAAMqcQoXuWrVqqX379vrwww+VkZFR1DUBAAAAAFAmFCp079mzRw0aNNC4ceMUEBCg4cOH64cffijq2gAAAAAAKNUKFbobNWqkBQsW6OTJk3rvvfeUkpKiVq1a6b777tO8efN05syZoq4TAAAAAIBS564epFauXDn16tVLq1at0qxZs/TTTz9pwoQJCgoK0qBBg5SSklJUdQIAAAAAUOrcVejetWuXRowYocDAQM2bN08TJkxQYmKiNm7cqJMnT6pHjx5FVScAAAAAAKVOucJsNG/ePEVHRys+Pl7dunXT+++/r27dusnB4UaGr169upYvX66QkJCirBUAAAAAgFKlUKF78eLFeuKJJzRkyBAFBgbm2ady5cpatmzZXRUHAAAAAEBpVqjQnZCQcMc+zs7OGjx4cGGGBwAAAACgTCjUPd3R0dFatWpVrvZVq1ZpxYoVd10UAAAAAABlQaFC94wZM+Tn55ervXLlypo+ffpdFwUAAAAAQFlQqNCdnJys6tWr52qvVq2akpOT77ooAAAAAADKgkKF7sqVK+vAgQO52vfv36+KFSvedVEAAAAAAJQFhQrd/fv317PPPquYmBhlZ2crOztb33zzjcaMGaNHH320qGsEAAAAAKBUKtTTy1999VUdP35cHTt2VLlyN4bIycnRoEGDuKcbAAAAAID/U6jQ7ezsrI8++kivvvqq9u/fLzc3N9WvX1/VqlUr6voAAAAAACi1ChW6b6pdu7Zq165dVLUAAAAAAFCmFCp0Z2dna/ny5dq0aZNOnz6tnJwcm/XffPNNkRQHAAAAAEBpVqjQPWbMGC1fvlwPPfSQ7rvvPlkslqKuCwAAAACAUq9QoXvlypX6+OOP1a1bt6KuBwAAAACAMqNQHxnm7OysWrVqFXUtAAAAAACUKYUK3ePHj9eCBQtkGEZR1wMAAAAAQJlRqMvLv/vuO8XExGjdunWqV6+enJycbNavXr26SIoDAAAAAKA0K1To9vHx0cMPP1zUtQAAAAAAUKYUKnRHR0cXdR0AAAAAAJQ5hbqnW5KuX7+ur7/+Wu+8844uXbokSTp58qTS09OLrDgAAAAAAEqzQp3p/vnnn9WlSxclJycrMzNTnTp1kqenp2bNmqXMzEwtWbKkqOsEAAAAAKDUKdSZ7jFjxqhp06b67bff5ObmZm1/+OGHtWnTpiIrDgAAAACA0qxQoXvLli166aWX5OzsbNMeEhKiX3/9Nd/jLF68WA0aNJCXl5e8vLwUERGhdevWWddnZGRo5MiRqlixojw8PNS7d2+lpqYWpmQAAAAAAIpdoUJ3Tk6OsrOzc7X/8ssv8vT0zPc4VatW1cyZM7V7927t2rVLHTp0UI8ePfTjjz9Kkp577jl98cUXWrVqlTZv3qyTJ0+qV69ehSkZAAAAAIBiV6jQ/eCDD+qNN96wLlssFqWnpysqKkrdunXL9zjdu3dXt27dFBoaqtq1a+u1116Th4eHtm/frgsXLmjZsmWaN2+eOnTooPDwcEVHR+v777/X9u3bC1M2AAAAAADFqlChe+7cudq6davuvfdeZWRk6LHHHrNeWj5r1qxCFZKdna2VK1fq8uXLioiI0O7du3Xt2jVFRkZa+4SFhSk4OFjbtm0r1D4AAAAAAChOhXp6edWqVbV//36tXLlSBw4cUHp6uoYNG6YBAwbYPFgtPw4ePKiIiAhlZGTIw8NDn332me69917t27dPzs7O8vHxsenv7++vU6dO3XK8zMxMZWZmWpcvXrxYoHoAAAAAACgqhQrdklSuXDk9/vjjd11AnTp1tG/fPl24cEGffPKJBg8erM2bNxd6vBkzZmjq1Kl3XRcAAAAAAHerUKH7/fffv+36QYMG5XssZ2dn1apVS5IUHh6unTt3asGCBerXr5+ysrJ0/vx5m7PdqampCggIuOV4kyZN0rhx46zLFy9eVFBQUL7rAQAAAACgqBQqdI8ZM8Zm+dq1a7py5YqcnZ1Vvnz5AoXuP8rJyVFmZqbCw8Pl5OSkTZs2qXfv3pKk+Ph4JScnKyIi4pbbu7i4yMXFpdD7BwAAAACgqBQqdP/222+52hISEvTMM8/o+eefz/c4kyZNUteuXRUcHKxLly7p3//+t2JjY7VhwwZ5e3tr2LBhGjdunHx9feXl5aXRo0crIiJCLVq0KEzZAAAAAAAUq0Lf0/1HoaGhmjlzph5//HEdOXIkX9ucPn1agwYNUkpKiry9vdWgQQNt2LBBnTp1kiTNnz9fDg4O6t27tzIzM9W5c2ctWrSoqEoGAAAAAMBURRa6pRsPVzt58mS++y9btuy2611dXbVw4UItXLjwbksDAAAAAKDYFSp0f/755zbLhmEoJSVFb7/9tlq2bFkkhQEAAAAAUNoVKnT37NnTZtlisahSpUrq0KGD5s6dWxR1AQAAoBSIi4uzdwkoJfz8/BQcHGzvMoBiV6jQnZOTU9R1AAAAoBQ5d9WQg6THH3/c3qWglCjv5qq4I/EEb/zpFOk93QAAAPhzSM8ylCNp6cA6alKjkr3LQQkXl5Kux9/dp7S0NEI3/nQKFbrHjRuX777z5s0rzC4AAABQCtQJKK8mId72LgMASqxChe69e/dq7969unbtmurUqSNJOnr0qBwdHdWkSRNrP4vFUjRVAgAAAABQChUqdHfv3l2enp5asWKFKlSoIEn67bffNHToULVu3Vrjx48v0iIBAAAAACiNHAqz0dy5czVjxgxr4JakChUqaNq0aTy9HAAAAACA/1Oo0H3x4kWdOXMmV/uZM2d06dKluy4KAAAAAICyoFCh++GHH9bQoUO1evVq/fLLL/rll1/06aefatiwYerVq1dR1wgAAAAAQKlUqHu6lyxZogkTJuixxx7TtWvXbgxUrpyGDRum119/vUgLBAAAAACgtCpU6C5fvrwWLVqk119/XYmJiZKkmjVryt3dvUiLAwAAAACgNCvU5eU3paSkKCUlRaGhoXJ3d5dhGEVVFwAAAAAApV6hQvfZs2fVsWNH1a5dW926dVNKSookadiwYXxcGAAAAAAA/6dQofu5556Tk5OTkpOTVb58eWt7v379tH79+iIrDgAAAACA0qxQ93R/9dVX2rBhg6pWrWrTHhoaqp9//rlICgMAAAAAoLQr1Jnuy5cv25zhvuncuXNycXG566IAAAAAACgLChW6W7durffff9+6bLFYlJOTo9mzZ6t9+/ZFVhwAAAAAAKVZoS4vnz17tjp27Khdu3YpKytLEydO1I8//qhz585p69atRV0jAAAAAAClUqHOdN933306evSoWrVqpR49eujy5cvq1auX9u7dq5o1axZ1jQAAAAAAlEoFPtN97do1denSRUuWLNHkyZPNqAkAAAAAgDKhwGe6nZycdODAATNqAQAAAACgTCnU5eWPP/64li1bVtS1AAAAAABQphTqQWrXr1/Xe++9p6+//lrh4eFyd3e3WT9v3rwiKQ4AAAAAgNKsQKH72LFjCgkJ0aFDh9SkSRNJ0tGjR236WCyWoqsOAAAAAIBSrEChOzQ0VCkpKYqJiZEk9evXT2+++ab8/f1NKQ4AAAAAgNKsQPd0G4Zhs7xu3Tpdvny5SAsCAAAAAKCsKNQ93Tf9MYQDAADgz+VqRoYuXbpk7zJQwmVmZdq7BMBuChS6LRZLrnu2uYcbAADgzyUn+5r166RjSXK68LMdq0Fp8NNvnKzDn1eBQrdhGBoyZIhcXFwkSRkZGXr66adzPb189erVRVchAAAAShQjO9v6tYdfoCoEV7BjNSjpsrMylHP2mL3LAOymQKF78ODBNsuPP/54kRYDAACA0sXByUVOruXtXQYAlFgFCt3R0dFm1QEAAAAAQJlToKeXAwAAAACA/CN0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBK7hu4ZM2aoWbNm8vT0VOXKldWzZ0/Fx8fb9MnIyNDIkSNVsWJFeXh4qHfv3kpNTbVTxQAAAAAA5J9dQ/fmzZs1cuRIbd++XRs3btS1a9f04IMP6vLly9Y+zz33nL744gutWrVKmzdv1smTJ9WrVy87Vg0AAAAAQP6Us+fO169fb7O8fPlyVa5cWbt371abNm104cIFLVu2TP/+97/VoUMHSVJ0dLTq1q2r7du3q0WLFvYoGwAAAACAfClR93RfuHBBkuTr6ytJ2r17t65du6bIyEhrn7CwMAUHB2vbtm15jpGZmamLFy/avAAAAAAAsIcSE7pzcnI0duxYtWzZUvfdd58k6dSpU3J2dpaPj49NX39/f506dSrPcWbMmCFvb2/rKygoyOzSAQAAAADIU4kJ3SNHjtShQ4e0cuXKuxpn0qRJunDhgvV14sSJIqoQAAAAAICCses93TeNGjVKX375pb799ltVrVrV2h4QEKCsrCydP3/e5mx3amqqAgIC8hzLxcVFLi4uZpcMAAAAAMAd2fVMt2EYGjVqlD777DN98803ql69us368PBwOTk5adOmTda2+Ph4JScnKyIiorjLBQAAAACgQOx6pnvkyJH697//rf/+97/y9PS03qft7e0tNzc3eXt7a9iwYRo3bpx8fX3l5eWl0aNHKyIigieXAwAAAABKPLuG7sWLF0uS2rVrZ9MeHR2tIUOGSJLmz58vBwcH9e7dW5mZmercubMWLVpUzJUCAAAAAFBwdg3dhmHcsY+rq6sWLlyohQsXFkNFAAAAAAAUnRLz9HIAAAAAAMoaQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmKWfvAgAA5ktOTlZaWpq9y0AJFRcXJ0m6nJZi50oAACh7CN0AUMYlJyerblgdXbmaYe9SUMId+vxdSVJO9jU7VwIAQNlB6AaAMi4tLU1Xrmbow6caqW6gh73LQQl0+cplHT4cpwOXK2hRbIpysrPtXRIAAGUGoRsA/iTqBnqoSYi3vctACXTpkoOupzrorJOLvUsBAKDM4UFqAAAAAACYhNANAAAAAIBJCN0AAAAAAJiE0A0AAAAAgEkI3QAAAAAAmITQDQAAAACASQjdAAAAAACYhNANAAAAAIBJCN0AAAAAAJjErqH722+/Vffu3VWlShVZLBatWbPGZr1hGHr55ZcVGBgoNzc3RUZGKiEhwT7FAgAAAABQQHYN3ZcvX1bDhg21cOHCPNfPnj1bb775ppYsWaIdO3bI3d1dnTt3VkZGRjFXCgAAAABAwZWz5867du2qrl275rnOMAy98cYbeumll9SjRw9J0vvvvy9/f3+tWbNGjz76aHGWCgAAAABAgZXYe7qTkpJ06tQpRUZGWtu8vb3VvHlzbdu27ZbbZWZm6uLFizYvAAAAAADsocSG7lOnTkmS/P39bdr9/f2t6/IyY8YMeXt7W19BQUGm1gkAAAAAwK2U2NBdWJMmTdKFCxesrxMnTti7JAAAAADAn1SJDd0BAQGSpNTUVJv21NRU67q8uLi4yMvLy+YFAAAAAIA9lNjQXb16dQUEBGjTpk3WtosXL2rHjh2KiIiwY2UAAAAAAOSPXZ9enp6erp9++sm6nJSUpH379snX11fBwcEaO3aspk2bptDQUFWvXl3/+Mc/VKVKFfXs2dN+RQMAAAAAkE92Dd27du1S+/btrcvjxo2TJA0ePFjLly/XxIkTdfnyZT311FM6f/68WrVqpfXr18vV1dVeJQMAAAAAkG92Dd3t2rWTYRi3XG+xWPTKK6/olVdeKcaqAAAAAAAoGiX2nm4AAAAAAEo7u57pBgAAAPDnERcXZ+8SUEr4+fkpODjY3mUUCUI3AAAAANPkZF+zfv3444/bsRKUJm5u5XXkSFyZCN6EbgAAAACmMbKzrV83fyJKXoEh9isGpcLFlOPa8d5UpaWlEboBAAAAIL+8AkPkG1zH3mUAxYoHqQEAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAm4UFqAFBGJScnKy0tzfqZqJevXNalS/ytFbldvnLZ3iUAAFBmEboBoAxKTk5WWFhdXb16xdp2+HCcrqcSunFrhmHYuwQAAMocQjcAlEFpaWm6evWKmj8RJUna8d5UeQWGqEJgeTtXhpIo6/JFXU47SegGAMAEhG4AKMO8AkOsX5dzdpWTK6EbuWVnZdi7BAAAyiyuMwQAAAAAwCSEbgAAAAAATELoBgAAAADAJIRuAAAAAABMQugGAAAAAMAkPL28BElOTlZaWpq9y0Ap4efnp+DgYHuXAQAAAOA2CN0lRHJysuqG1dGVq3xsC/KnvJur4o7EE7wBAACAEozQXUKkpaXpytUMffhUI9UN9LB3OSjh4lLS9fi7+5SWlkboBgAAAEowQncJUzfQQ01CvO1dBgAAAACgCPAgNQAAAAAATELoBgAAAADAJIRuAAAAAABMQugGAAAAAMAkPEgNAAAAQLG4mHLc3iWgFChr84TQDQAAAMBU564acpC0472p9i4FpYSDpJSUFHuXUSQI3QAAAABMlZ5lKEfSaz1DFFrFx97loIRLOHlek9cc1/nz5+1dSpEgdAMAAAAoFtX9XHXvPR72LgMl3PWsDHuXUKR4kBoAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYJJy9i4AQOHFxcXZuwSUUDfnxsWU4/YtBAAA4E+O0A2UQikXMuQg6fHHH7d3KSjhdrw31fp1TvY1O1YCAADw50ToBkqh81euK0fS0oF11KRGJXuXgxLo8pXLOnw4Tl6BIdp2/Ire+jpZOdnZ9i4LAADgT4fQDZRidQLKq0mIt73LQAl06ZKDrqc6qEJgeSVfyLF3OQAAAH9aPEgNAAAAAACTlIrQvXDhQoWEhMjV1VXNmzfXDz/8YO+SAAAAAAC4oxIfuj/66CONGzdOUVFR2rNnjxo2bKjOnTvr9OnT9i4NAAAAAIDbKvGhe968eXryySc1dOhQ3XvvvVqyZInKly+v9957z96lAQAAAABwWyU6dGdlZWn37t2KjIy0tjk4OCgyMlLbtm2zY2UAAAAAANxZiX56eVpamrKzs+Xv72/T7u/vryNHjuS5TWZmpjIzM63LFy5ckCRdvHjRvEKLQHp6uiRp988XlJ553c7VoKSLS7kkSdqXfEmG41k7V4OS6MqVKzpyKlvu187qp5QMSdKPJy7oShYfG4bcrmdc1tXz2Uq6eOP/RcwV3Mn1jMtKvnBjjjBfcCfMFxRUUuqN/x9duXKlROe4m7UZhnHbfhbjTj3s6OTJk7rnnnv0/fffKyIiwto+ceJEbd68WTt27Mi1zZQpUzR16tTiLBMAAAAA8Cd14sQJVa1a9ZbrS/SZbj8/Pzk6Oio1NdWmPTU1VQEBAXluM2nSJI0bN866nJOTo3PnzqlixYqyWCx5bnPx4kUFBQXpxIkT8vLyKroDQJnFnEFBMF9QUMwZFBRzBgXBfEFBMWfyZhiGLl26pCpVqty2X4kO3c7OzgoPD9emTZvUs2dPSTdC9KZNmzRq1Kg8t3FxcZGLi4tNm4+PT7725+XlxSRCgTBnUBDMFxQUcwYFxZxBQTBfUFDMmdy8vb3v2KdEh25JGjdunAYPHqymTZvq/vvv1xtvvKHLly9r6NCh9i4NAAAAAIDbKvGhu1+/fjpz5oxefvllnTp1So0aNdL69etzPVwNAAAAAICSpsSHbkkaNWrULS8nLwouLi6KiorKdVk6cCvMGRQE8wUFxZxBQTFnUBDMFxQUc+bulOinlwMAAAAAUJo52LsAAAAAAADKKkI3AAAAAAAmIXQDAAAAAGCSMhu6Fy5cqJCQELm6uqp58+b64Ycfbtt/1apVCgsLk6urq+rXr6+1a9farDcMQy+//LICAwPl5uamyMhIJSQkmHkIKEZFPV+GDBkii8Vi8+rSpYuZh4BiVpA58+OPP6p3794KCQmRxWLRG2+8cddjovQp6jkzZcqUXD9nwsLCTDwCFKeCzJelS5eqdevWqlChgipUqKDIyMhc/fk9puwr6jnD7zJlW0Hmy+rVq9W0aVP5+PjI3d1djRo10gcffGDTh58xt1cmQ/dHH32kcePGKSoqSnv27FHDhg3VuXNnnT59Os/+33//vfr3769hw4Zp79696tmzp3r27KlDhw5Z+8yePVtvvvmmlixZoh07dsjd3V2dO3dWRkZGcR0WTGLGfJGkLl26KCUlxfr6z3/+UxyHg2JQ0Dlz5coV1ahRQzNnzlRAQECRjInSxYw5I0n16tWz+Tnz3XffmXUIKEYFnS+xsbHq37+/YmJitG3bNgUFBenBBx/Ur7/+au3D7zFlmxlzRuJ3mbKqoPPF19dXkydP1rZt23TgwAENHTpUQ4cO1YYNG6x9+BlzB0YZdP/99xsjR460LmdnZxtVqlQxZsyYkWf/vn37Gg899JBNW/PmzY3hw4cbhmEYOTk5RkBAgPH6669b158/f95wcXEx/vOf/5hwBChORT1fDMMwBg8ebPTo0cOUemF/BZ0zv1etWjVj/vz5RTomSj4z5kxUVJTRsGHDIqwSJcXd/jy4fv264enpaaxYscIwDH6P+TMo6jljGPwuU5YVxe8cjRs3Nl566SXDMPgZkx9l7kx3VlaWdu/ercjISGubg4ODIiMjtW3btjy32bZtm01/SercubO1f1JSkk6dOmXTx9vbW82bN7/lmCgdzJgvN8XGxqpy5cqqU6eOnnnmGZ09e7boDwDFrjBzxh5jouQw8/ubkJCgKlWqqEaNGhowYICSk5PvtlzYWVHMlytXrujatWvy9fWVxO8xZZ0Zc+Ymfpcpe+52vhiGoU2bNik+Pl5t2rSRxM+Y/ChzoTstLU3Z2dny9/e3aff399epU6fy3ObUqVO37X/zvwUZE6WDGfNFunE51vvvv69NmzZp1qxZ2rx5s7p27ars7OyiPwgUq8LMGXuMiZLDrO9v8+bNtXz5cq1fv16LFy9WUlKSWrdurUuXLt1tybCjopgvL7zwgqpUqWL9BZjfY8o2M+aMxO8yZVVh58uFCxfk4eEhZ2dnPfTQQ3rrrbfUqVMnSfyMyY9y9i4AKIseffRR69f169dXgwYNVLNmTcXGxqpjx452rAxAWdG1a1fr1w0aNFDz5s1VrVo1ffzxxxo2bJgdK4M9zZw5UytXrlRsbKxcXV3tXQ5KgVvNGX6Xwe95enpq3759Sk9P16ZNmzRu3DjVqFFD7dq1s3dppUKZO9Pt5+cnR0dHpaam2rSnpqbe8mE0AQEBt+1/878FGROlgxnzJS81atSQn5+ffvrpp7svGnZVmDljjzFRchTX99fHx0e1a9fm50wpdzfzZc6cOZo5c6a++uorNWjQwNrO7zFlmxlzJi/8LlM2FHa+ODg4qFatWmrUqJHGjx+vRx55RDNmzJDEz5j8KHOh29nZWeHh4dq0aZO1LScnR5s2bVJERESe20RERNj0l6SNGzda+1evXl0BAQE2fS5evKgdO3bcckyUDmbMl7z88ssvOnv2rAIDA4umcNhNYeaMPcZEyVFc39/09HQlJibyc6aUK+x8mT17tl599VWtX79eTZs2tVnH7zFlmxlzJi/8LlM2FNX/k3JycpSZmSmJnzH5Yu8nuZlh5cqVhouLi7F8+XLj8OHDxlNPPWX4+PgYp06dMgzDMAYOHGi8+OKL1v5bt241ypUrZ8yZM8eIi4szoqKiDCcnJ+PgwYPWPjNnzjR8fHyM//73v8aBAweMHj16GNWrVzeuXr1a7MeHolXU8+XSpUvGhAkTjG3bthlJSUnG119/bTRp0sQIDQ01MjIy7HKMKFoFnTOZmZnG3r17jb179xqBgYHGhAkTjL179xoJCQn5HhOlmxlzZvz48UZsbKyRlJRkbN261YiMjDT8/PyM06dPF/vxoWgVdL7MnDnTcHZ2Nj755BMjJSXF+rp06ZJNH36PKbuKes7wu0zZVtD5Mn36dOOrr74yEhMTjcOHDxtz5swxypUrZyxdutTah58xt1cmQ7dhGMZbb71lBAcHG87Ozsb9999vbN++3bqubdu2xuDBg236f/zxx0bt2rUNZ2dno169esb//vc/m/U5OTnGP/7xD8Pf399wcXExOnbsaMTHxxfHoaAYFOV8uXLlivHggw8alSpVMpycnIxq1aoZTz75JOGpjCnInElKSjIk5Xq1bds232Oi9CvqOdOvXz8jMDDQcHZ2Nu655x6jX79+xk8//VSMRwQzFWS+VKtWLc/5EhUVZe3D7zFlX1HOGX6XKfsKMl8mT55s1KpVy3B1dTUqVKhgREREGCtXrrQZj58xt2cxDMMo3nPrAAAAAAD8OZS5e7oBAAAAACgpCN0AAAAAAJiE0A0AAAAAgEkI3QAAAAAAmITQDQAAAACASQjdAAAAAACYhNANAAAAAIBJCN0AAAAAAJiE0A0AQBlksVi0Zs0ae5ehU6dOqVOnTnJ3d5ePj4+9ywEAoNgRugEA+D9DhgyRxWKRxWKRs7OzatWqpVdeeUXXr1+3d2m3NGXKFDVq1ChXe0pKirp27Vr8Bf3B/PnzlZKSon379uno0aP2LgcAgGJXzt4FAABQknTp0kXR0dHKzMzU2rVrNXLkSDk5OWnSpEm5+mZlZcnZ2dkOVUqGYSg7O/uW6wMCAoqxmltLTExUeHi4QkND7V0KAAB2wZluAAB+x8XFRQEBAapWrZqeeeYZRUZG6vPPP5d040x4z5499dprr6lKlSqqU6eOJOngwYPq0KGD3NzcVLFiRT311FNKT0+3jnlzu6lTp6pSpUry8vLS008/raysLGufzMxMPfvss6pcubJcXV3VqlUr7dy507o+NjZWFotF69atU3h4uFxcXPThhx9q6tSp2r9/v/UM/fLlyyXlvrw8vzXOmTNHgYGBqlixokaOHKlr167d9v1avHixatasKWdnZ9WpU0cffPCBdV1ISIg+/fRTvf/++7JYLBoyZMgtx3nvvfdUr149ubi4KDAwUKNGjbKumzdvnurXry93d3cFBQVpxIgRNrX//PPP6t69uypUqCB3d3fVq1dPa9euta4/dOiQunbtKg8PD/n7+2vgwIFKS0uzrv/kk09Uv35963sTGRmpy5cv3/a4AQDIL0I3AAC34ebmZhOON23apPj4eG3cuFFffvmlLl++rM6dO6tChQrauXOnVq1apa+//tomNN7cLi4uTrGxsfrPf/6j1atXa+rUqdb1EydO1KeffqoVK1Zoz549qlWrljp37qxz587ZjPPiiy9q5syZiouLU6dOnTR+/HjVq1dPKSkpSklJUb9+/XIdQ35rjImJUWJiomJiYrRixQotX77cGuLz8tlnn2nMmDEaP368Dh06pOHDh2vo0KGKiYmRJO3cuVNdunRR3759lZKSogULFuQ5zuLFizVy5Eg99dRTOnjwoD7//HPVqlXLut7BwUFvvvmmfvzxR61YsULffPONJk6caF0/cuRIZWZm6ttvv9XBgwc1a9YseXh4SJLOnz+vDh06qHHjxtq1a5fWr1+v1NRU9e3bV9KNy/D79++vJ554wvr96dWrlwzDuOVxAwBQIAYAADAMwzAGDx5s9OjRwzAMw8jJyTE2btxouLi4GBMmTLCu9/f3NzIzM63bvPvuu0aFChWM9PR0a9v//vc/w8HBwTh16pR1O19fX+Py5cvWPosXLzY8PDyM7OxsIz093XBycjL+9a9/WddnZWUZVapUMWbPnm0YhmHExMQYkow1a9bY1BwVFWU0bNgw17FIMj777LMC1VitWjXj+vXr1j59+vQx+vXrd8v364EHHjCefPJJm7Y+ffoY3bp1sy736NHDGDx48C3HMAzDqFKlijF58uTb9vm9VatWGRUrVrQu169f35gyZUqefV999VXjwQcftGk7ceKEIcmIj483du/ebUgyjh8/nu/9AwBQEJzpBgDgd7788kt5eHjI1dVVXbt2Vb9+/TRlyhTr+vr169vcxx0XF6eGDRvK3d3d2tayZUvl5OQoPj7e2tawYUOVL1/euhwREaH09HSdOHFCiYmJunbtmlq2bGld7+TkpPvvv19xcXE29TVt2rTAx5TfGuvVqydHR0frcmBgoE6fPn3bcX9f881x/1jz7Zw+fVonT55Ux44db9nn66+/VseOHXXPPffI09NTAwcO1NmzZ3XlyhVJ0rPPPqtp06apZcuWioqK0oEDB6zb7t+/XzExMfLw8LC+wsLCJN2437xhw4bq2LGj6tevrz59+mjp0qX67bff8l0/AAB3QugGAOB32rdvr3379ikhIUFXr17VihUrbMLq77+2BzP37+TkZLNssViUk5Nj2v6kG5fv387x48f1l7/8RQ0aNNCnn36q3bt3a+HChZJkvez/b3/7m44dO6aBAwfq4MGDatq0qd566y1JUnp6urp37659+/bZvBISEtSmTRs5Ojpq48aNWrdune6991699dZbqlOnjpKSkkw9bgDAnwehGwCA33F3d1etWrUUHByscuXu/CEfdevW1f79+20evLV161Y5ODhYH7Qm3TjjevXqVevy9u3b5eHhoaCgIOuDyLZu3Wpdf+3aNe3cuVP33nvvbffv7Ox826eYF6TGgqpbt65NzTfHvVPNv+fp6amQkBBt2rQpz/W7d+9WTk6O5s6dqxYtWqh27do6efJkrn5BQUF6+umntXr1ao0fP15Lly6VJDVp0kQ//vijQkJCVKtWLZvXzT9gWCwWtWzZUlOnTtXevXvl7Oyszz77LN/HAADA7RC6AQC4CwMGDJCrq6sGDx6sQ4cOKSYmRqNHj9bAgQPl7+9v7ZeVlaVhw4bp8OHDWrt2raKiojRq1Cg5ODjI3d1dzzzzjJ5//nmtX79ehw8f1pNPPqkrV65o2LBht91/SEiIkpKStG/fPqWlpSkzM7PQNRbU888/r+XLl2vx4sVKSEjQvHnztHr1ak2YMKFA40yZMkVz587Vm2++qYSEBO3Zs8d6prpWrVq6du2a3nrrLR07dkwffPCBlixZYrP92LFjtWHDBiUlJWnPnj2KiYlR3bp1Jd14yNq5c+fUv39/7dy5U4mJidqwYYOGDh2q7Oxs7dixQ9OnT9euXbuUnJys1atX68yZM9btAQC4W4RuAADuQvny5bVhwwadO3dOzZo10yOPPKKOHTvq7bfftunXsWNHhYaGqk2bNurXr5/++te/2twrPnPmTPXu3VsDBw5UkyZN9NNPP2nDhg2qUKHCbfffu3dvdenSRe3bt1elSpX0n//8p9A1FlTPnj21YMECzZkzR/Xq1dM777yj6OhotWvXrkDjDB48WG+88YYWLVqkevXq6S9/+YsSEhIk3bgXft68eZo1a5buu+8+/etf/9KMGTNsts/OztbIkSNVt25ddenSRbVr19aiRYskSVWqVNHWrVuVnZ2tBx98UPXr19fYsWPl4+MjBwcHeXl56dtvv1W3bt1Uu3ZtvfTSS5o7d666du16V+8NAAA3WQyDz8QAAMBMQ4YM0fnz520+NxsAAPw5cKYbAAAAAACTELoBAAAAADAJl5cDAAAAAGASznQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYJL/B7TLQSWbK2dlAAAAAElFTkSuQmCC", + "text/plain": [ + "
" + ] + }, + "metadata": {}, + "output_type": "display_data" + } + ], + "source": [ + "# to ensure reproducibility, I set a random seed before running the simulations multiple times. \n", + "# This way, the random processes within the simulation yield consistent results across different runs.\n", + "\n", + "np.random.seed(42) \n", + "\n", + "for n_runs in [10, 100]: # Testing with different numbers of simulation runs\n", + " results = [simulate_event(m) for m in range(n_runs)]\n", + " props_df = pd.DataFrame(results, columns=[\"Infections\", \"Traces\"])\n", + "\n", + " plt.figure(figsize=(10, 6))\n", + " sns.histplot(props_df['Infections'], alpha=0.75, binwidth=0.05, kde=False, label='Infections from Weddings')\n", + " sns.histplot(props_df['Traces'], alpha=0.75, binwidth=0.05, kde=False, label='Traced to Weddings')\n", + " plt.title(f\"Simulation with {n_runs} repetitions\")\n", + " plt.xlabel(\"Proportion of cases\")\n", + " plt.ylabel(\"Frequency\")\n", + " plt.legend()\n", + " plt.tight_layout()\n", + " plt.show()" + ] + }, { "cell_type": "markdown", "id": "f418c720", @@ -193,7 +267,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Python 3", + "display_name": "sampling-env", "language": "python", "name": "python3" }, @@ -207,7 +281,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.13.0" + "version": "3.11.2" } }, "nbformat": 4, From 1eff6bc3797310505daa0a72c79735afa0d705f5 Mon Sep 17 00:00:00 2001 From: Anthonia Date: Fri, 9 Jan 2026 19:50:53 -0500 Subject: [PATCH 2/2] assignment update --- .../a1_sampling_and_reproducibility.ipynb | 100 +++++++++++++----- 1 file changed, 72 insertions(+), 28 deletions(-) diff --git a/02_activities/assignments/a1_sampling_and_reproducibility.ipynb b/02_activities/assignments/a1_sampling_and_reproducibility.ipynb index eb489be5..ba4bcc00 100644 --- a/02_activities/assignments/a1_sampling_and_reproducibility.ipynb +++ b/02_activities/assignments/a1_sampling_and_reproducibility.ipynb @@ -16,7 +16,42 @@ "cell_type": "markdown", "id": "4ea73db3", "metadata": {}, - "source": [] + "source": [ + "Step 1: Setting Up the DataFrame\n", + "Function Used: pd.DataFrame\n", + "Sample Size: 1000 individuals\n", + "Sampling Frame: We are sampling from a population of 1000 individuals that will be attending either a wedding or a brunch\n", + "Procedure: the population structure is fixed\n", + "Underlying Distribution: none. This step defines the population\n", + "\n", + "Step 2: Infecting a Random Subset of Individuals\n", + "\n", + "Function Used: np.random.choice\n", + "Sample Size: 10% of the population (100 individuals), as defined by the ATTACK_RATE.\n", + "Sampling Frame: the 1000 individuals in the population\n", + "Procedure: we are randomily sampling without replacement our sampling frame of 10% individuals from the 1000 individuals. \n", + "Underlying Distribution: we are assuming that our mean distribution rate of infection will be around 10% of the 1000 individuals that will attend either the wedding or the brunch. \n", + " \n", + "Step 3: primary contact tracing and determining who gets traced.\n", + "Function Used: np.random.rand\n", + "Sample Size: ~20 for weddings and ~80 for brunch\n", + "Sampling Frame: the people that attended each event\n", + "Procedure: \n", + "Underlying Distribution: we are assuming that our mean distribution rate of infection will be around 20% of the people that attended the wedding and brunch event with slight variability around the mean\n", + "\n", + "Step 4: secondary contact tracing\n", + "Function Used: value_counts()\n", + "Sample Size: depends on if any event exceeds the set treshold\n", + "Sampling Frame: people at the events (weddings and brunches)\n", + "Procedure: Events with at least SECONDARY_TRACE_THRESHOLD = 2 traced cases are flagged and all infected individuals attending those events are subsequently marked as traced (cluster sampling)\n", + "\n", + "Step 5: Simulate event \n", + "Function Used: simulate_event(m)\n", + "Sample Size: 1000\n", + "Sampling Frame: all possible data points\n", + "Procedure: The entire model is rerun independently 1,000 times.\n", + "Underlying Distribution: hopefully normal distribution around the predicted mean occurence" + ] }, { "cell_type": "markdown", @@ -30,7 +65,24 @@ "cell_type": "markdown", "id": "4cf5d993", "metadata": {}, - "source": [] + "source": [ + "Here is a copy of the code that I modified.\n", + "Upon re-running the code multiple times, I noticed that the shape and distribution of the stimulated data kept changing everytime i ran the code. This means that the data could not be reproduced unless we set a random seed.\n", + "\n", + "for n_runs in [10, 100]:\n", + " results = [simulate_event(m) for m in range(n_runs)]\n", + " props_df = pd.DataFrame(results, columns=[\"Infections\", \"Traces\"])\n", + "\n", + " plt.figure(figsize=(10, 6))\n", + " sns.histplot(props_df['Infections'], alpha=0.75, color=\"blue\", kde=False, binwidth=0.05, label='Infections from Weddings')\n", + " sns.histplot(props_df['Traces'], alpha=0.75, color=\"red\", kde=False, binwidth=0.05, label='Traced to Weddings')\n", + " plt.title(f\"Simulation with {n_runs} repetitions\")\n", + " plt.xlabel(\"Proportion of cases\")\n", + " plt.ylabel(\"Frequency\")\n", + " plt.legend()\n", + " plt.tight_layout()\n", + " plt.show()" + ] }, { "cell_type": "markdown", @@ -44,7 +96,9 @@ "cell_type": "markdown", "id": "77613cc3", "metadata": {}, - "source": [] + "source": [ + "If you scroll to the end, I have repeated the code above in a code block but set a random seed to ensure reproduciilty of the data when run multiple times." + ] }, { "cell_type": "markdown", @@ -56,13 +110,13 @@ }, { "cell_type": "code", - "execution_count": null, + "execution_count": 1, "id": "ab8587a0", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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IbEfGcnMKeU42btyo1NRUjRgxwua64WeffVbe3t764Ycf8jzPCxcuSFKOp5XnZPXq1XJ0dNSwYcNsho8aNUqGYWjNmjU2w0NCQmyO2NatW1fe3t65viv11dv6/PnzSkhIUKtWrfTnn39aT0ncsGGDLl68qFdeeSXb9Zj53da51b9/f5saJcnV1dXaPxkZGTpz5ow8PT1Vs2ZN7d6929ruq6++kp+fn4YOHZptvrmp+/nnn7d5/8ADD+jMmTPWPs06jf+FF16waZfT8nKyevVqBQQE6IknnrAOc3Z21rBhw5SYmKgtW7bYtO/Vq5eKFy9uU4+kXPf1008/rVKlSqls2bLq0qWLLl26pGXLlqlx48basGGDzp07pyeeeEIJCQnWl6Ojo+6//35FRERkm9/gwYNt3n/11VeyWCzWSy+ulrW9V65cqczMTPXs2dNmOQEBAapevXqOy8nSpk0b+fn56fPPP7cO+/fff7Vhwwb16tXLOmzFihUKDAxUrVq1bJaRdTp91jKyvnOu3ddudiPAaz333HPasGGDzatevXp5mkdBudln9npWrFghHx8ftWvXzmabNWrUSJ6entZtVtDfBXFxcdq7d69CQ0Ntjj7XrVtX7dq1s/m9cKvrOGnSJH366adq0KCB1q1bp3HjxqlRo0Zq2LChzansed0v88LMfSbrSPa6detuero9gILD6eUAClzW9WZX8/HxUbly5bL9h8vHxyfHawGrV69u897T01NlypSxXmMsSQcPHtSrr76qzZs3Z/uPVFYQzDo19t577833+lzrr7/+knTljwZXc3FxUZUqVazj88Lb21vSlT8e5LaGsmXLZgvpWaeAXltDTqesFy9ePMdtn5OtW7dqwoQJ2rZtW7b/qJ0/f14+Pj6mbOvcuvbyBOn/XwO5cOFCxcTE2Fzrn3WqtHTlM1KzZs1835n82m2bFXj//fdfeXt766+//pKDg0O2GnNzN3vpSl9Wr149243hctvXV9eTG+PHj9cDDzwgR0dH+fn5KTAw0LptDh8+LOn/X+d9razPcRYnJyeVK1fOZtjRo0dVtmzZG566e/jwYRmGke17IMuNTsl2cnJSjx499OmnnyolJUWurq5auXKl0tLSbEL34cOHFRUVdd07iGfdNCur/669zODa/f9mqlevrpCQkDxNY5abfWav5/Dhwzp//ny2a5uzZG2zgv4uuN53rnRlP1i3bl22G47ldx2lK3eaf+KJJ3ThwgXt2LFD4eHh+vTTT9W1a1cdOHBAbm5ued4vc8vsfaZy5coaOXKkZs2apU8++UQPPPCAHn74YT311FOcWg6YiNANoMA5OjrmabhxzY2/cuPcuXNq1aqVvL29NXnyZFWtWlVubm7avXu3Xn755ULxCKGrVatWTU5OTtq/f78p87+VbX/06FG1bdtWtWrV0qxZs1S+fHm5uLho9erVmj179h2xra89yi1Jb775pl577TU9/fTTmjJlikqUKCEHBweNGDGiQGsuyM91QbjVeoKCgq4bDrO220cffaSAgIBs46/9w8XVZxvkRWZmpiwWi9asWZPj+tzsPgC9e/fWu+++qzVr1qhbt2764osvVKtWLZsjy5mZmQoKCtKsWbNynEf58uXzXHdBut4R4ZxuFJlX+f2MZGZmqnTp0vrkk09yHH8nPQKtIPZLb29vtWvXTu3atZOzs7OWLVumHTt2qFWrVrmeR1778XbsM2+//bZCQ0P1zTffaP369Ro2bJimTp2q7du3Zwv8AAoGoRvAHenw4cNq3bq19X1iYqLi4uKsz7mNjIzUmTNntHLlSrVs2dLa7uo7LEuyHp06cODADY8y5eWUx4oVK0qSoqOjVaVKFevw1NRUxcTE5Otolru7u9q0aaPNmzfr+PHjN/0Pf8WKFbVx40ZdvHjR5mh31mn1WTXmxfW2wXfffaeUlBR9++23NkePrj3F9+ptfaOjuGafap7lyy+/VOvWrfX+++/bDD937pz1RnHSlbp37NihtLQ0U25qVbFiRWVmZiomJsbmKNSRI0dyPf1vv/2mzMxMm/+M30pf51dWH5cuXTrfR22rVq2qdevW6ezZs9c9cle1alUZhqHKlSurRo0aeV5Gy5YtVaZMGX3++edq0aKFNm/erHHjxmVbxr59+9S2bdsbfiaz+i/rjIgs0dHRea4rL7KOzF79RAQp/0dQC0LVqlW1ceNGNW/ePMc/dF3dTiq474Krv3Ov9fvvv8vPz8/0x2o1btxYy5YtU1xcnLWm3OyXBdGPZuwzQUFBCgoK0quvvqqff/5ZzZs31+LFi/X666/nui4Aucc13QDuSO+9957S0tKs7xctWqT09HR16tRJ0v8/inH1UYvU1FQtXLjQZj4NGzZU5cqVNWfOnGz/6bl62qz/sF3bJichISFycXHRvHnzbObx/vvv6/z583m+q3GWCRMmyDAM9e3bV4mJidnG79q1y/o4ms6dOysjI0PvvPOOTZvZs2fLYrFYt1NeXG8b5LStz58/r6VLl9q0a9++vby8vDR16lQlJyfbjLt2W9+OR9M4OjpmO6q1YsUK/fPPPzbDevTooYSEhGzbUiqYo9UdOnSQpGyfzfnz5+dq+s6dOys+Pt7mGuX09HTNnz9fnp6eeTrqdqs6dOggb29vvfnmmzb7Z5bTp0/fdB49evSQYRiaNGlStnFZ27t79+5ydHTUpEmTsvWBYRg6c+bMDZfh4OCgxx57TN99950++ugjpaen25xaLl25u/U///yjJUuWZJv+8uXLunTpkiRZ96V58+bZtJkzZ86NV/QWVaxYUY6Ojvrxxx9thl/7ObqdevbsqYyMDE2ZMiXbuPT0dOt3R0F/F5QpU0b169fXsmXLbL6fDhw4oPXr11v/GHurkpKStG3bthzHZd0nI+sPL7ndLwuiHwtyn7lw4YLS09NtxgcFBcnBwSHbo/IAFByOdAO4I6Wmpqpt27bq2bOnoqOjtXDhQrVo0UIPP/ywJKlZs2YqXry4+vfvr2HDhsliseijjz7K9p8NBwcHLVq0SF27dlX9+vU1YMAAlSlTRr///rsOHjyodevWSZIaNWok6crNkjp06CBHR0fro4WuVapUKY0dO1aTJk1Sx44d9fDDD1trbNKkiZ566ql8rXOzZs20YMECvfDCC6pVq5b69u2r6tWr6+LFi4qMjNS3335rPQrRtWtXtW7dWuPGjdOxY8dUr149rV+/Xt98841GjBhx08dc5SRrG4wbN069e/eWs7Ozunbtqvbt28vFxUVdu3bVoEGDlJiYqCVLlqh06dLWoz7SlVMxZ8+erWeeeUZNmjTRk08+qeLFi2vfvn1KSkqy/sGgUaNG+vzzzzVy5Eg1adJEnp6e6tq1a7622Y089NBDmjx5sgYMGKBmzZpp//79+uSTT2zOTpCkfv366cMPP9TIkSP1yy+/6IEHHtClS5e0ceNGvfDCC3rkkUduqY5GjRqpR48emjNnjs6cOWN9ZNgff/wh6eZH+5577jm9++67Cg0N1a5du1SpUiV9+eWX2rp1q+bMmZPrm+8VBG9vby1atEh9+/ZVw4YN1bt3b5UqVUqxsbH64Ycf1Lx58xz/eHG11q1bq2/fvpo3b54OHz6sjh07KjMzUz/99JNat26tIUOGqGrVqnr99dc1duxYHTt2TN26dZOXl5diYmL09ddf67nnnrN53nZOevXqpfnz52vChAkKCgqyXmubpW/fvvriiy/0/PPPKyIiQs2bN1dGRoZ+//13ffHFF1q3bp0aN26s+vXr64knntDChQt1/vx5NWvWTJs2bcr1mQr55ePjo8cff1zz58+XxWJR1apV9f3331uvm7aHVq1aadCgQZo6dar27t2r9u3by9nZWYcPH9aKFSs0d+5cPfbYY6Z8F8yYMUOdOnVScHCwBg4caH1kmI+PT66edZ8bSUlJatasmZo2baqOHTuqfPnyOnfunFatWqWffvpJ3bp1U4MGDSTlfr8siH4syH1m8+bNGjJkiB5//HHVqFFD6enp+uijj+To6KgePXoUyHYEkIPbco90AEXS9R4Z5uHhka1tTo+fMQzDqFixotGlS5ds89yyZYvx3HPPGcWLFzc8PT2NPn362DwqxjAMY+vWrUbTpk2NYsWKGWXLljVeeukl6+OCrn08y//+9z+jXbt2hpeXl+Hh4WHUrVvX5nFZ6enpxtChQ41SpUoZFoslV48Pe+edd4xatWoZzs7Ohr+/vzF48OBsjyXL7SPDrrZr1y7jySefNMqWLWs4OzsbxYsXN9q2bWssW7bM5hFYFy9eNF588UVru+rVqxszZsyweSSPYVx51FVYWFi25VSsWNHo37+/zbApU6YY99xzj+Hg4GDz+LBvv/3WqFu3ruHm5mZUqlTJeOutt6yP2rr2EWPffvut0axZM6NYsWKGt7e3cd999xmfffaZdXxiYqLx5JNPGr6+voakXD8+7EaPDMvp8TfJycnGqFGjjDJlyhjFihUzmjdvbmzbts1o1aqV0apVK5u2SUlJxrhx44zKlSsbzs7ORkBAgPHYY48ZR48etdmOOT0y7Nq+zfoMX71dLl26ZISFhRklSpQwPD09jW7duhnR0dGGJGPatGk3XfeTJ08aAwYMMPz8/AwXFxcjKCgo2yOjsh5BNGPGjGzTX1t7Tm60LXNq26FDB8PHx8dwc3MzqlataoSGhhq//vqrtc31vgsM48r+NmPGDKNWrVqGi4uLUapUKaNTp07ZHs301VdfGS1atDA8PDwMDw8Po1atWkZYWJgRHR1ts5ycPkOZmZlG+fLlc3y0XpbU1FTjrbfeMurUqWO4uroaxYsXNxo1amRMmjTJOH/+vLXd5cuXjWHDhhklS5Y0PDw8jK5duxrHjx/P0yPDcuqXq+W0HqdPnzZ69OhhuLu7G8WLFzcGDRpkHDhw4JYfGZabz+z1vrMNwzDee+89o1GjRkaxYsUMLy8vIygoyHjppZeMEydO2LTL73fB9R6LtnHjRqN58+bW+XXt2tU4dOiQTZu8rOO10tLSjCVLlhjdunUzKlasaLi6uhru7u5GgwYNjBkzZhgpKSk27XOzXxpG7vvxduwzf/75p/H0008bVatWNdzc3IwSJUoYrVu3NjZu3Hjd7QLg1lkMw053egGAHISHh2vAgAHauXOnGjdubO9yANPs3btXDRo00Mcff6w+ffrYuxwAAGASrukGAMBkly9fzjZszpw5cnBwsLkRIAAAKHq4phsAAJNNnz5du3btUuvWreXk5KQ1a9ZozZo1eu655+z+aCoAAGAuQjcAACZr1qyZNmzYoClTpigxMVEVKlTQxIkTsz3GCgAAFD1c0w0AAAAAgEm4phsAAAAAAJMQugEAAAAAMAnXdEvKzMzUiRMn5OXlJYvFYu9yAAAAAAB3OMMwdPHiRZUtW1YODtc/nk3olnTixAnuHgsAAAAAyLPjx4+rXLly1x1P6Jbk5eUl6crG8vb2tnM1AAAAAIA73YULF1S+fHlrnrweQrdkPaXc29ub0A0AAAAAyLWbXaLMjdQAAAAAADAJoRsAAAAAAJMQugEAAAAAMAnXdAMAAAB3sIyMDKWlpdm7DOCu4+zsLEdHx1ueD6EbAAAAuAMZhqH4+HidO3fO3qUAdy1fX18FBATc9GZpN0LoBgAAAO5AWYG7dOnScnd3v6X/9APIG8MwlJSUpFOnTkmSypQpk+95EboBAACAO0xGRoY1cJcsWdLe5QB3pWLFikmSTp06pdKlS+f7VHNupAYAAADcYbKu4XZ3d7dzJcDdLWsfvJX7KhC6AQAAgDsUp5QD9lUQ+yChGwAAAAAAk3BNNwAAAFCIxMbGKiEh4bYtz8/PTxUqVDB1GfHx8erbt69+/vlnOTs7m3bH9vDwcI0YMcKud4Q3DEODBg3Sl19+qX///Vd79uxR/fr17VbP7ZSb7T9x4kStWrVKe/fulSSFhobq3LlzWrVq1W2p0QyEbgAAAKCQiI2NVc2agUpOTrpty3Rzc1d0dFSug3d+QtLs2bMVFxenvXv3ysfHJ5+V2qpUqZJGjBihESNGWIf16tVLnTt3LpD559fatWsVHh6uyMhIValSRX5+fnat55VXXtGqVav0+++/W4f9/vvvCgwMVP/+/RUeHm4dHh4erkGDBuncuXPWm4yZbe7cuTIM47YsyyyEbgAAAKCQSEhIUHJykgIDP5a7e6Dpy0tKilJU1FNKSEgw9Wj30aNH1ahRI1WvXt20ZUhX7kZ9u8Li9Rw9elRlypRRs2bNrtsmNTVVLi4ut6We1q1b66233lJ8fLwCAgIkSRERESpfvrwiIyNt2kZERKhp06a3dRsW1B9h7IlrugEAAIBCxt09UF5eDU1/FUSwf/DBBzVs2DC99NJLKlGihAICAjRx4kTr+EqVKumrr77Shx9+KIvFotDQUEnSuXPn9Mwzz6hUqVLy9vZWmzZttG/fPpt5f/fdd2rSpInc3Nzk5+enRx991LrMv/76Sy+++KIsFov1Zljh4eHy9fW1mceiRYtUtWpVubi4qGbNmvroo49sxlssFv33v//Vo48+Knd3d1WvXl3ffvutdfy///6rPn36qFSpUipWrJiqV6+upUuX5rgtQkNDNXToUMXGxspisahSpUrWeocMGaIRI0bIz89PHTp0kCRt2bJF9913n1xdXVWmTBm98sorSk9Pt9m2Q4cO1YgRI1S8eHH5+/tryZIlunTpkgYMGCAvLy9Vq1ZNa9asuW7/tGjRQs7OzjYBOzIyUmFhYTp79qyOHTtmM7x169aSpJSUFI0ePVr33HOPPDw8dP/992cL6eHh4apQoYLc3d316KOP6syZM9mWP23aNPn7+8vLy0sDBw5UcnJytm3WrVs3m3W+0edJunKkvkWLFnJzc1Pt2rW1ceNGWSwW69kXqampGjJkiMqUKSM3NzdVrFhRU6dOve42ulWEbgAAAACmWrZsmTw8PLRjxw5Nnz5dkydP1oYNGyRJO3fuVMeOHdWzZ0/FxcVp7ty5kqTHH39cp06d0po1a7Rr1y41bNhQbdu21dmzZyVJP/zwgx599FF17txZe/bs0aZNm3TfffdJklauXKly5cpp8uTJiouLU1xcXI51ff311xo+fLhGjRqlAwcOaNCgQRowYIAiIiJs2k2aNEk9e/bUb7/9ps6dO6tPnz7WOl577TUdOnRIa9asUVRUlBYtWnTdU8bnzp2ryZMnq1y5coqLi9POnTtttpGLi4u2bt2qxYsX659//lHnzp3VpEkT7du3T4sWLdL777+v119/Pdu29fPz0y+//KKhQ4dq8ODBevzxx9WsWTPt3r1b7du3V9++fZWUlPMlCR4eHmrSpInNOkdGRqpt27Zq3ry5dfiff/6p2NhYa+geMmSItm3bpuXLl+u3337T448/ro4dO+rw4cOSpB07dmjgwIEaMmSI9u7dq9atW2er/YsvvtDEiRP15ptv6tdff1WZMmW0cOHCHOu8dp2v93nKyMhQt27d5O7urh07dui9997TuHHjbKafN2+evv32W33xxReKjo7WJ598Yv0DiBk4vRwAAACAqerWrasJEyZIkqpXr6533nlHmzZtUrt27VSqVCm5urqqWLFi1tOb//e//+mXX37RqVOn5OrqKkmaOXOmVq1apS+//FLPPfec3njjDfXu3VuTJk2yLqdevXqSpBIlSsjR0VFeXl7WeeZk5syZCg0N1QsvvCBJGjlypLZv366ZM2daw6V05WjrE088IUl68803NW/ePP3yyy/q2LGjYmNj1aBBAzVu3FiSbhjefHx85OXlJUdHx2x1Va9eXdOnT7e+HzdunMqXL6933nlHFotFtWrV0okTJ/Tyyy9r/PjxcnBwsK7zq6++KkkaO3aspk2bJj8/Pz377LOSpPHjx2vRokX67bff1LRp0xzrat26tVasWCFJOnTokJKTk9WgQQO1bNlSkZGRGjBggCIjI+Xm5qamTZsqNjZWS5cuVWxsrMqWLStJGj16tNauXaulS5fqzTff1Ny5c9WxY0e99NJLkqQaNWro559/1tq1a63LnTNnjgYOHKiBAwdKkl5//XVt3Lgx29Hua93o87RhwwYdPXpUkZGR1m38xhtvqF27dtbpY2NjVb16dbVo0UIWi0UVK1a84fJuFUe6AQAAAJiqbt26Nu/LlCmjU6dOXbf9vn37lJiYqJIlS8rT09P6iomJ0dGjRyVJe/fuVdu2bW+prqioKDVv3txmWPPmzRUVFXXd+j08POTt7W2tf/DgwVq+fLnq16+vl156ST///HO+amnUqFG22oKDg22eE928eXMlJibq77//zrE2R0dHlSxZUkFBQdZh/v7+knTD7f3ggw/qjz/+UFxcnCIjI9WiRQs5OjqqVatW1lPGIyMj1axZM7m6umr//v3KyMhQjRo1bPpny5Yt1v6JiorS/fffb7Oc4ODgbOt4szY5udHnKTo6WuXLl7f5o0bWGRBZQkNDtXfvXtWsWVPDhg3T+vXrb7rMW8GRbgAAAACmcnZ2tnlvsViUmZl53faJiYkqU6ZMtmuEJVmvyb6dN/O6Uf2dOnXSX3/9pdWrV2vDhg1q27atwsLCNHPmzDwtw8PDo8Bqu3pYVmi/0fZu3ry5XFxcFBERoYiICLVq1UqS1KRJEyUkJOjPP/9UZGSkBg0aJOlK/zg6OmrXrl1ydHS0mZenp2e+1iMv8vp5ulbDhg0VExOjNWvWaOPGjerZs6dCQkL05ZdfFnSpkjjSDQAAAOAO07BhQ8XHx8vJyUnVqlWzeWVdL123bl1t2rTpuvNwcXFRRkbGDZcTGBiorVu32gzbunWrateunad6S5Uqpf79++vjjz/WnDlz9N577+Vp+uvVtm3bNpvHZW3dulVeXl4qV67cLc//asWKFbPeCG3Lli168MEHJV0Jt02bNtX777+v48ePW0+5b9CggTIyMnTq1Kls/ZN1hDkwMFA7duywWc727duzrePN2uRVzZo1dfz4cZ08edI67Opr57N4e3urV69eWrJkiT7//HN99dVX1uv0CxpHugEAAADcUUJCQhQcHKxu3bpp+vTpqlGjhk6cOGG9eVrjxo01YcIEtW3bVlWrVlXv3r2Vnp6u1atX6+WXX5Z05drqH3/8Ub1795arq2uONzcbM2aMevbsqQYNGigkJETfffedVq5cqY0bN+a61vHjx6tRo0aqU6eOUlJS9P333ysw8Nbv+v7CCy9ozpw5Gjp0qIYMGaLo6GhNmDBBI0eOtF7PXZBat26t2bNnS7ryR48srVq10syZM603XJOuXJ/dp08f9evXT2+//bYaNGig06dPa9OmTapbt666dOmiYcOGqXnz5po5c6YeeeQRrVu3zuZ6bkkaPny4QkND1bhxYzVv3lyffPKJDh48qCpVquR7Pdq1a6eqVauqf//+mj59ui5evGi95j3rqP+sWbNUpkwZNWjQQA4ODlqxYoUCAgKy3dm+oBC6AQBAkRMbG6uEhAR7l4HbwM/Pz9TnR9+pkpKibt6oEC3nWhaLRatXr9a4ceM0YMAAnT59WgEBAWrZsqX1GuUHH3xQK1as0JQpUzRt2jR5e3urZcuW1nlMnjxZgwYNUtWqVZWSkmJzxDhLt27dNHfuXM2cOVPDhw9X5cqVtXTpUuuR3txwcXHR2LFjdezYMRUrVkwPPPCAli9ffsvb4J577tHq1as1ZswY1atXTyVKlNDAgQOtAbKgtW7dWpMnT1bHjh3l5PT/Y2KrVq00YcIEdejQwea07qVLl+r111/XqFGj9M8//8jPz09NmzbVQw89JElq2rSplixZogkTJmj8+PEKCQnRq6++qilTpljn0atXLx09elQvvfSSkpOT1aNHDw0ePFjr1q3L93o4Ojpq1apVeuaZZ9SkSRNVqVJFM2bMUNeuXeXm5iZJ8vLy0vTp03X48GE5OjqqSZMmWr16tSl/zJAki5HTp+8uc+HCBfn4+Oj8+fPy9va2dzkAAOAWxMbGqmbNQCUn5/x4HBQtbm7uio6OKnLBOzk5WTExMapcubI1KEj2+XwX1W2Mu8fWrVvVokULHTlyRFWrVs3TtNfbF6Xc50iOdAMAgCIlISFByclJCgz8WO7ut36KJ+5cSUlRiop6SgkJCXdNIKxQoYKio6Nu65kcd+vZBCi8vv76a3l6eqp69eo6cuSIhg8frubNm+c5cBcUQjcAACiS3N0D5eXV8OYNgUKmQoUKhGDgBi5evKiXX35ZsbGx8vPzU0hIiN5++2271UPoBgAAAAAUGf369VO/fv3sXYYVjwwDAAAAAMAkhG4AAAAAAExC6AYAAAAAwCSEbgAAAAAATELoBgAAAADAJIRuAAAAAABMwiPDAAAAgEIkNjZWCQkJt215fn5+RfK54A8++KDq16+vOXPm2LuUAhMaGqpz585p1apV121z7XpXqlRJI0aM0IgRI25LjXcjQjcAAABQSMTGxiqwZk0lJSfftmW6u7kpKjo6V8HbYrHccPyECRM0ceLEAqrMXBMnTtSqVau0d+/eW5pP06ZNVb9+fS1evNg6bPHixRo8eLCWLl2q0NBQ6/DQ0FAdPXpUP/300y0tMy927twpDw+P27a8uxGhGwAAACgkEhISlJScrI8DAxXo7m768qKSkvRUVJQSEhJyFbrj4uKsP3/++ecaP368oqOjrcM8PT2tPxuGoYyMDDk5Fe1I0rp1a3399dc2wyIiIlS+fHlFRkbahO7IyEj179//ttZXqlSp27q8u1HR/oQDAADkQXJyrNLSbt9pu7g1SUlRkqSoqKibti1qp0gHururoZeXvcvIJiAgwPqzj4+PLBaLdVhkZKRat26t1atX69VXX9X+/fu1fv16lS9fXiNHjtT27dt16dIlBQYGaurUqQoJCbHOKyUlRePHj9enn36qU6dOqXz58ho7dqwGDhwoSTpw4IDGjBmjn376SR4eHmrfvr1mz54tPz8/SdKlS5c0ePBgrVy5Ul5eXho9evQN1yM8PFyTJk2S9P+P3mcdlY6NjdXQoUO1adMmOTg4qGPHjpo/f778/f1znFfr1q01bdo0xcfHW7fFli1bNH78eE2fPt3aLiYmRn/99Zdat24tSTp+/LhGjRql9evXy8HBQQ888IDmzp2rSpUqSZIyMjI0ZswYffDBB3J0dNTAgQNlGIbNsnOz3teeXm6xWLRkyRL98MMPWrdune655x69/fbbevjhh63TfPvttxo1apSOHz+u4OBghYaGKjQ0VP/++698fX31119/aciQIfrf//6n1NRUVapUSTNmzFDnzp1vuN2LKkI3AACArgTuX3+pqfTM23faLgrGU089ddM2eTlFGuZ65ZVXNHPmTFWpUkXFixfX8ePH1blzZ73xxhtydXXVhx9+qK5duyr6qv7q16+ftm3bpnnz5qlevXqKiYmxXtd+7tw5tWnTRs8884xmz56ty5cv6+WXX1bPnj21efNmSdKYMWO0ZcsWffPNNypdurT+85//aPfu3apfv36ONfbq1UsHDhzQ2rVrtXHjRklX/oiQmZmpRx55RJ6entqyZYvS09MVFhamXr16KTIyMsd5NW/eXM7OzoqIiNATTzyhQ4cO6fLlyxo4cKBefvllxcTEqHLlyoqIiJCbm5uCg4OVlpamDh06KDg4WD/99JOcnJz0+uuvq2PHjvrtt9/k4uKit99+W+Hh4frggw8UGBiot99+W19//bXatGljXXZe1zvLpEmTNH36dM2YMUPz589Xnz599Ndff6lEiRKKiYnRY489puHDh+uZZ57Rnj17soX5sLAwpaam6scff5SHh4cOHTpkc5bD3YbQDQAAICktLUHpmcl63T1QlR3MP20Xty4zI0mXLkepdmCgPG5wqnVeT5GGuSZPnqx27dpZ35coUUL16tWzvp8yZYq+/vprffvttxoyZIj++OMPffHFF9qwYYP16HeVKlWs7d955x01aNBAb775pnXYBx98oPLly+uPP/5Q2bJl9f777+vjjz9W27ZtJUnLli1TuXLlrltjsWLF5OnpKScnJ5uj9xs2bND+/fsVExOj8uXLS5I+/PBD1alTRzt37lSTJk2yzcvDw0P33XefIiMj9cQTTygyMlItWrSQq6urmjVrpsjISFWuXFmRkZEKDg6Wq6urPv74Y2VmZuq///2vzZF2X19fRUZGqn379pozZ47Gjh2r7t27S7pynfi6deusy01MTMzzemcJDQ3VE088IUl68803NW/ePP3yyy/q2LGj3n33XdWsWVMzZsyQJNWsWVMHDhzQG2+8YZ0+NjZWPXr0UFBQULb+uhsRugEAAK5S2cFdgU533mm7yC5D0kVJ9d3d5XUHnmqNnDVu3NjmfWJioiZOnKgffvhBcXFxSk9P1+XLlxUbGytJ2rt3rxwdHdWqVasc57dv3z5FRETkeCT16NGjunz5slJTU3X//fdbh5coUUI1a9bMc+1RUVEqX768NXBLUu3ateXr66uoqKgcQ7d05Y7hK1askHTlNPsHH3xQktSqVStFRkZqwIABioyM1LPPPmtdpyNHjmT7XCcnJ+vo0aM6f/684uLibNbJyclJjRs3tp5ifvTo0Xyvd926da0/e3h4yNvbW6dOnZIkRUdHZ1vP++67z+b9sGHDNHjwYK1fv14hISHq0aOHzTzvNjynGwAAAMBtc+2dskePHq2vv/5ab775pn766Sft3btXQUFBSk1NlXTlqPONJCYmqmvXrtq7d6/N6/Dhw2rZsqVp65EXrVu31h9//KF//vlHkZGR1j8gZIXuo0eP6vjx49ZTwxMTE9WoUaNs6/THH3/oySefNL1eZ2dnm/cWi0WZmZm5nv6ZZ57Rn3/+qb59+2r//v1q3Lix5s+fX9BlFhqEbgAAAAB2s3XrVoWGhurRRx9VUFCQAgICdOzYMev4oKAgZWZmasuWLTlO37BhQx08eFCVKlVStWrVbF4eHh6qWrWqnJ2dtWPHDus0//77r/74448b1uXi4qKMjAybYYGBgTp+/LiOHz9uHXbo0CGdO3dOtWvXvu68mjVrJhcXFy1cuFDJyclq1KiRJKlJkyY6ffq0PvjgA+tp6FnrdPjwYZUuXTrbOvn4+MjHx0dlypSxWaf09HTt2rXL+j6/630zNWvW1K+//mozbOfOndnalS9fXs8//7xWrlypUaNGacmSJbe03MKM0A0AAADAbqpXr66VK1dq79692rdvn5588kmbo6qVKlVS//799fTTT2vVqlWKiYlRZGSkvvjiC0lXbtp19uxZPfHEE9q5c6eOHj2qdevWacCAAcrIyJCnp6cGDhyoMWPGaPPmzTpw4IBCQ0Pl4HDjKFSpUiXFxMRo7969SkhIUEpKikJCQhQUFKQ+ffpo9+7d+uWXX9SvXz+1atUq22nzVytWrJiaNm2q+fPnq3nz5nJ0dJR0JdhfPTzrCHOfPn3k5+enRx55RD/99JN1nYcNG6a///5bkjR8+HBNmzZNq1at0u+//64XXnhB586dsy4zv+t9M4MGDdLvv/+ul19+2Xq9fXh4uKT/f6f3ESNGaN26dYqJidHu3bsVERGhwMDAW1puYcY13QAAAEAhE5WUVGSWM2vWLD399NNq1qyZ/Pz89PLLL+vChQs2bRYtWqT//Oc/euGFF3TmzBlVqFBB//nPfyRJZcuW1datW/Xyyy+rffv2SklJUcWKFdWxY0drwJwxY4b1NHQvLy+NGjVK58+fv2FdPXr00MqVK9W6dWudO3fO+siwb775RkOHDlXLli1tHhl2M61bt9aPP/5ovZ47S6tWrRQREWF9VJgkubu768cff9TLL7+s7t276+LFi7rnnnvUtm1beXt7S5JGjRqluLg49e/fXw4ODnr66af16KOP2qxXftb7ZipXrqwvv/xSo0aN0ty5cxUcHKxx48Zp8ODBcnV1lXTlcWZhYWH6+++/5e3trY4dO2r27Nm3tNzCzGJc+zC3u9CFCxfk4+Oj8+fPWz/EAACgcNq9e7caNWqkRo12ycurYa6nu3hxt3btaqRPPBtxI7VCIiP9oi4m7lLjRo1ueCO13RcvqtGuXdq1a5caNsz9Z8KekpOTrY+ScnNzsw6PjY1VYM2aSkq+fY+243FruJk33nhDixcvtjntvqi43r4o5T5HcqQbAAAAKCQqVKigqOho6zOqbwc/Pz8CN2wsXLhQTZo0UcmSJbV161bNmDFDQ4YMsXdZdyxCNwAAAFCIVKhQgRAMuzp8+LBef/11nT17VhUqVNCoUaM0duxYe5d1xyJ0AwAAAABybfbs2Xf1Ndp5xd3LAQAAAAAwCaEbAAAAAACTELoBAACAO9TVz6sGcPsVxD7INd0AAADAHcbFxUUODg46ceKESpUqJRcXF1ksFnuXBdw1DMNQamqqTp8+LQcHB7m4uOR7XoRuAAAA4A7j4OCgypUrKy4uTidOnLB3OcBdy93dXRUqVJCDQ/5PEid0AwAAAHcgFxcXVahQQenp6crIyLB3OcBdx9HRUU5OTrd8lgmhGwAAALhDWSwWOTs7y9nZ2d6lAMgnbqQGAAAAAIBJ7pjQPW3aNFksFo0YMcI6LDk5WWFhYSpZsqQ8PT3Vo0cPnTx50ma62NhYdenSRe7u7ipdurTGjBmj9PT021w9AAAAAADZ3RGhe+fOnXr33XdVt25dm+EvvviivvvuO61YsUJbtmzRiRMn1L17d+v4jIwMdenSRampqfr555+1bNkyhYeHa/z48bd7FQAAAAAAyMbuoTsxMVF9+vTRkiVLVLx4cevw8+fP6/3339esWbPUpk0bNWrUSEuXLtXPP/+s7du3S5LWr1+vQ4cO6eOPP1b9+vXVqVMnTZkyRQsWLFBqaqq9VgkAAAAAAEl3QOgOCwtTly5dFBISYjN8165dSktLsxleq1YtVahQQdu2bZMkbdu2TUFBQfL397e26dChgy5cuKCDBw/enhUAAAAAAOA67Hr38uXLl2v37t3auXNntnHx8fFycXGRr6+vzXB/f3/Fx8db21wduLPGZ427npSUFKWkpFjfX7hwIb+rAAAAAADAddntSPfx48c1fPhwffLJJ3Jzc7uty546dap8fHysr/Lly9/W5QMAAAAA7g52C927du3SqVOn1LBhQzk5OcnJyUlbtmzRvHnz5OTkJH9/f6WmpurcuXM20508eVIBAQGSpICAgGx3M896n9UmJ2PHjtX58+etr+PHjxfsygEAAAAAIDuG7rZt22r//v3au3ev9dW4cWP16dPH+rOzs7M2bdpknSY6OlqxsbEKDg6WJAUHB2v//v06deqUtc2GDRvk7e2t2rVrX3fZrq6u8vb2tnkBAAAAAFDQ7HZNt5eXl+69916bYR4eHipZsqR1+MCBAzVy5EiVKFFC3t7eGjp0qIKDg9W0aVNJUvv27VW7dm317dtX06dPV3x8vF599VWFhYXJ1dX1tq8TAAAAAABXs+uN1G5m9uzZcnBwUI8ePZSSkqIOHTpo4cKF1vGOjo76/vvvNXjwYAUHB8vDw0P9+/fX5MmT7Vg1AAAAAABX3FGhOzIy0ua9m5ubFixYoAULFlx3mooVK2r16tUmVwYAAAAAQN7Z/TndAAAAAAAUVYRuAAAAAABMQugGAAAAAMAkhG4AAAAAAExC6AYAAAAAwCSEbgAAAAAATELoBgAAAADAJHfUc7oBADBLbGysEhIS7F0GboOoqCh7lwAAgBWhGwBQ5MXGxqpmzUAlJyfZuxTcRqmpKfYuAQAAQjcAoOhLSEhQcnKSAgM/lrt7oL3LgcnOnFmtY8deU3p6ur1LAQCA0A0AuHu4uwfKy6uhvcuAyZKSOL0cAHDn4EZqAAAAAACYhNANAAAAAIBJCN0AAAAAAJiE0A0AAAAAgEkI3QAAAAAAmITQDQAAAACASQjdAAAAAACYhNANAAAAAIBJCN0AAAAAAJiE0A0AAAAAgEkI3QAAAAAAmITQDQAAAACASQjdAAAAAACYhNANAAAAAIBJCN0AAAAAAJiE0A0AAAAAgEkI3QAAAAAAmITQDQAAAACASQjdAAAAAACYhNANAAAAAIBJCN0AAAAAAJiE0A0AAAAAgEkI3QAAAAAAmITQDQAAAACASQjdAAAAAACYhNANAAAAAIBJCN0AAAAAAJiE0A0AAAAAgEkI3QAAAAAAmITQDQAAAACASQjdAAAAAACYhNANAAAAAIBJCN0AAAAAAJiE0A0AAAAAgEkI3QAAAAAAmITQDQAAAACASQjdAAAAAACYhNANAAAAAIBJCN0AAAAAAJiE0A0AAAAAgEkI3QAAAAAAmITQDQAAAACASZzsXQAAAIVNcnKs0tIS7F0GruPy5Zj/+zdaFy965Hq6pKQos0oCANzFCN0AAORBcnKsfv2lptIzk+1dCm7i2LFndexY3qczjNQCrwUAcPcidAMAkAdpaQlKz0zW6+6Bquzgbu9ykIO09DNKTj4mN7eacnbyzPV0W9PPaGHyMRmZ6SZWBwC42xC6AQDIh8oO7gp08rJ3GchBamaSkiS5O7jLJQ99FJORZF5RAIC7FjdSAwAAAADAJIRuAAAAAABMQugGAAAAAMAkhG4AAAAAAExC6AYAAAAAwCSEbgAAAAAATELoBgAAAADAJIRuAAAAAABMQugGAAAAAMAkhG4AAAAAAExC6AYAAAAAwCSEbgAAAAAATELoBgAAAADAJIRuAAAAAABMQugGAAAAAMAkhG4AAAAAAExC6AYAAAAAwCSEbgAAAAAATELoBgAAAADAJIRuAAAAAABMQugGAAAAAMAkhG4AAAAAAExC6AYAAAAAwCSEbgAAAAAATELoBgAAAADAJIRuAAAAAABMQugGAAAAAMAkhG4AAAAAAExC6AYAAAAAwCSEbgAAAAAATELoBgAAAADAJIRuAAAAAABMQugGAAAAAMAkhG4AAAAAAExC6AYAAAAAwCSEbgAAAAAATELoBgAAAADAJIRuAAAAAABMQugGAAAAAMAkhG4AAAAAAExC6AYAAAAAwCSEbgAAAAAATELoBgAAAADAJHYN3YsWLVLdunXl7e0tb29vBQcHa82aNdbxycnJCgsLU8mSJeXp6akePXro5MmTNvOIjY1Vly5d5O7urtKlS2vMmDFKT0+/3asCAAAAAEA2dg3d5cqV07Rp07Rr1y79+uuvatOmjR555BEdPHhQkvTiiy/qu+++04oVK7RlyxadOHFC3bt3t06fkZGhLl26KDU1VT///LOWLVum8PBwjR8/3l6rBAAAAACAlZM9F961a1eb92+88YYWLVqk7du3q1y5cnr//ff16aefqk2bNpKkpUuXKjAwUNu3b1fTpk21fv16HTp0SBs3bpS/v7/q16+vKVOm6OWXX9bEiRPl4uJij9UCAAAAAEDSHXRNd0ZGhpYvX65Lly4pODhYu3btUlpamkJCQqxtatWqpQoVKmjbtm2SpG3btikoKEj+/v7WNh06dNCFCxesR8sBAAAAALAXux7plqT9+/crODhYycnJ8vT01Ndff63atWtr7969cnFxka+vr017f39/xcfHS5Li4+NtAnfW+Kxx15OSkqKUlBTr+wsXLhTQ2gAAAAAA8P/Z/Uh3zZo1tXfvXu3YsUODBw9W//79dejQIVOXOXXqVPn4+Fhf5cuXN3V5AAAAAIC7k91Dt4uLi6pVq6ZGjRpp6tSpqlevnubOnauAgAClpqbq3LlzNu1PnjypgIAASVJAQEC2u5lnvc9qk5OxY8fq/Pnz1tfx48cLdqUAAAAAANAdELqvlZmZqZSUFDVq1EjOzs7atGmTdVx0dLRiY2MVHBwsSQoODtb+/ft16tQpa5sNGzbI29tbtWvXvu4yXF1drY8py3oBAAAAAFDQ7HpN99ixY9WpUydVqFBBFy9e1KeffqrIyEitW7dOPj4+GjhwoEaOHKkSJUrI29tbQ4cOVXBwsJo2bSpJat++vWrXrq2+fftq+vTpio+P16uvvqqwsDC5urrac9UAAAAAALBv6D516pT69eunuLg4+fj4qG7dulq3bp3atWsnSZo9e7YcHBzUo0cPpaSkqEOHDlq4cKF1ekdHR33//fcaPHiwgoOD5eHhof79+2vy5Mn2WiUAAAAAAKzsGrrff//9G453c3PTggULtGDBguu2qVixolavXl3QpQEAAAAAcMvuuGu6AQAAAAAoKgjdAAAAAACYhNANAAAAAIBJCN0AAAAAAJiE0A0AAAAAgEkI3QAAAAAAmITQDQAAAACASQjdAAAAAACYhNANAAAAAIBJCN0AAAAAAJiE0A0AAAAAgEkI3QAAAAAAmITQDQAAAACASQjdAAAAAACYhNANAAAAAIBJCN0AAAAAAJiE0A0AAAAAgEkI3QAAAAAAmITQDQAAAACASQjdAAAAAACYhNANAAAAAIBJCN0AAAAAAJiE0A0AAAAAgEkI3QAAAAAAmITQDQAAAACASQjdAAAAAACYhNANAAAAAIBJCN0AAAAAAJiE0A0AAAAAgEkI3QAAAAAAmITQDQAAAACASQjdAAAAAACYhNANAAAAAIBJCN0AAAAAAJiE0A0AAAAAgEkI3QAAAAAAmITQDQAAAACASQjdAAAAAACYhNANAAAAAIBJCN0AAAAAAJgkX6H7zz//LOg6AAAAAAAocvIVuqtVq6bWrVvr448/VnJyckHXBAAAAABAkZCv0L17927VrVtXI0eOVEBAgAYNGqRffvmloGsDAAAAAKBQy1forl+/vubOnasTJ07ogw8+UFxcnFq0aKF7771Xs2bN0unTpwu6TgAAAAAACp1bupGak5OTunfvrhUrVuitt97SkSNHNHr0aJUvX179+vVTXFxcQdUJAAAAAEChc0uh+9dff9ULL7ygMmXKaNasWRo9erSOHj2qDRs26MSJE3rkkUcKqk4AAAAAAAodp/xMNGvWLC1dulTR0dHq3LmzPvzwQ3Xu3FkODlcyfOXKlRUeHq5KlSoVZK0AAAAAABQq+QrdixYt0tNPP63Q0FCVKVMmxzalS5fW+++/f0vFAQAAAABQmOUrdB8+fPimbVxcXNS/f//8zB4AAAAAgCIhX9d0L126VCtWrMg2fMWKFVq2bNktFwUAAAAAQFGQr9A9depU+fn5ZRteunRpvfnmm7dcFAAAAAAARUG+QndsbKwqV66cbXjFihUVGxt7y0UBAAAAAFAU5Ct0ly5dWr/99lu24fv27VPJkiVvuSgAAAAAAIqCfIXuJ554QsOGDVNERIQyMjKUkZGhzZs3a/jw4erdu3dB1wgAAAAAQKGUr7uXT5kyRceOHVPbtm3l5HRlFpmZmerXrx/XdAMAAAAA8H/yFbpdXFz0+eefa8qUKdq3b5+KFSumoKAgVaxYsaDrAwAAAACg0MpX6M5So0YN1ahRo6BqAQAAAACgSMlX6M7IyFB4eLg2bdqkU6dOKTMz02b85s2bC6Q4AAAAAAAKs3yF7uHDhys8PFxdunTRvffeK4vFUtB1AQAAAABQ6OUrdC9fvlxffPGFOnfuXND1AAAAAABQZOTrkWEuLi6qVq1aQdcCAAAAAECRkq/QPWrUKM2dO1eGYRR0PQAAAAAAFBn5Or38f//7nyIiIrRmzRrVqVNHzs7ONuNXrlxZIMUBAAAAAFCY5St0+/r66tFHHy3oWgAAAAAAKFLyFbqXLl1a0HUAAAAAAFDk5OuabklKT0/Xxo0b9e677+rixYuSpBMnTigxMbHAigMAAAAAoDDL15Huv/76Sx07dlRsbKxSUlLUrl07eXl56a233lJKSooWL15c0HUCAAAAAFDo5OtI9/Dhw9W4cWP9+++/KlasmHX4o48+qk2bNhVYcQAAAAAAFGb5OtL9008/6eeff5aLi4vN8EqVKumff/4pkMIAAAAAACjs8nWkOzMzUxkZGdmG//333/Ly8rrlogAAAAAAKAryFbrbt2+vOXPmWN9bLBYlJiZqwoQJ6ty5c0HVBgAAAABAoZav08vffvttdejQQbVr11ZycrKefPJJHT58WH5+fvrss88KukYAAAAAAAqlfIXucuXKad++fVq+fLl+++03JSYmauDAgerTp4/NjdUAAAAAALib5St0S5KTk5OeeuqpgqwFAAAAAIAiJV+h+8MPP7zh+H79+uWrGAAAAAAAipJ8he7hw4fbvE9LS1NSUpJcXFzk7u5O6AYAAAAAQPm8e/m///5r80pMTFR0dLRatGjBjdQAAAAAAPg/+QrdOalevbqmTZuW7Sg4AAAAAAB3qwIL3dKVm6udOHGiIGcJAAAAAEChla9rur/99lub94ZhKC4uTu+8846aN29eIIUBAAAAAFDY5St0d+vWzea9xWJRqVKl1KZNG7399tsFURcAAAAAAIVevkJ3ZmZmQdcBAAAAAECRU6DXdAMAAAAAgP8vX0e6R44cmeu2s2bNys8iAAAAAAAo9PIVuvfs2aM9e/YoLS1NNWvWlCT98ccfcnR0VMOGDa3tLBZLwVQJAAAAAEAhlK/Q3bVrV3l5eWnZsmUqXry4JOnff//VgAED9MADD2jUqFEFWiQAAAAAAIVRvq7pfvvttzV16lRr4Jak4sWL6/XXX+fu5QAAAAAA/J98he4LFy7o9OnT2YafPn1aFy9evOWiAAAAAAAoCvIVuh999FENGDBAK1eu1N9//62///5bX331lQYOHKju3bsXdI0AAAAAABRK+bqme/HixRo9erSefPJJpaWlXZmRk5MGDhyoGTNmFGiBAAAAAAAUVvkK3e7u7lq4cKFmzJiho0ePSpKqVq0qDw+PAi0OAAAAAIDCLF+nl2eJi4tTXFycqlevLg8PDxmGUVB1AQAAAABQ6OUrdJ85c0Zt27ZVjRo11LlzZ8XFxUmSBg4cyOPCAAAAAAD4P/kK3S+++KKcnZ0VGxsrd3d36/BevXpp7dq1BVYcAAAAAACFWb6u6V6/fr3WrVuncuXK2QyvXr26/vrrrwIpDAAAAACAwi5fR7ovXbpkc4Q7y9mzZ+Xq6nrLRQEAAAAAUBTkK3Q/8MAD+vDDD63vLRaLMjMzNX36dLVu3brAigMAAAAAoDDL1+nl06dPV9u2bfXrr78qNTVVL730kg4ePKizZ89q69atBV0jAAAAAACFUr6OdN977736448/1KJFCz3yyCO6dOmSunfvrj179qhq1aoFXSMAAAAAAIVSno90p6WlqWPHjlq8eLHGjRtnRk0AAAAAABQJeT7S7ezsrN9++61AFj516lQ1adJEXl5eKl26tLp166bo6GibNsnJyQoLC1PJkiXl6empHj166OTJkzZtYmNj1aVLF7m7u6t06dIaM2aM0tPTC6RGAAAAAADyK1+nlz/11FN6//33b3nhW7ZsUVhYmLZv364NGzYoLS1N7du316VLl6xtXnzxRX333XdasWKFtmzZohMnTqh79+7W8RkZGerSpYtSU1P1888/a9myZQoPD9f48eNvuT4AAAAAAG5Fvm6klp6erg8++EAbN25Uo0aN5OHhYTN+1qxZuZrP2rVrbd6Hh4erdOnS2rVrl1q2bKnz58/r/fff16effqo2bdpIkpYuXarAwEBt375dTZs21fr163Xo0CFt3LhR/v7+ql+/vqZMmaKXX35ZEydOlIuLS35WEQAAAACAW5an0P3nn3+qUqVKOnDggBo2bChJ+uOPP2zaWCyWfBdz/vx5SVKJEiUkSbt27VJaWppCQkKsbWrVqqUKFSpo27Ztatq0qbZt26agoCD5+/tb23To0EGDBw/WwYMH1aBBg2zLSUlJUUpKivX9hQsX8l0zAAAAAADXk6fQXb16dcXFxSkiIkKS1KtXL82bN88m8OZXZmamRowYoebNm+vee++VJMXHx8vFxUW+vr42bf39/RUfH29tc+3ys95ntbnW1KlTNWnSpFuuGQAAAACAG8nTNd2GYdi8X7Nmjc3117ciLCxMBw4c0PLlywtkfjcyduxYnT9/3vo6fvy46csEAAAAANx98nVNd5ZrQ3h+DRkyRN9//71+/PFHlStXzjo8ICBAqampOnfunM3R7pMnTyogIMDa5pdffrGZX9bdzbPaXMvV1VWurq4FUjsAAAAAANeTpyPdFosl2zXbt3INt2EYGjJkiL7++mtt3rxZlStXthnfqFEjOTs7a9OmTdZh0dHRio2NVXBwsCQpODhY+/fv16lTp6xtNmzYIG9vb9WuXTvftQEAAAAAcKvydKTbMAyFhoZajxInJyfr+eefz3b38pUrV+ZqfmFhYfr000/1zTffyMvLy3oNto+Pj4oVKyYfHx8NHDhQI0eOVIkSJeTt7a2hQ4cqODhYTZs2lSS1b99etWvXVt++fTV9+nTFx8fr1VdfVVhYGEezAQAAAAB2lafQ3b9/f5v3Tz311C0tfNGiRZKkBx980Gb40qVLFRoaKkmaPXu2HBwc1KNHD6WkpKhDhw5auHChta2jo6O+//57DR48WMHBwfLw8FD//v01efLkW6oNAAAAAIBblafQvXTp0gJdeG6uCXdzc9OCBQu0YMGC67apWLGiVq9eXZClAQAAAABwy/J0TTcAAAAAAMg9QjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEid7FwAAAADciktJSbkaHxUVdTvKgYn8/PxUoUIFe5cB5AmhGwAAAIVSppEq6eZh+o//+/epp54yuSKYzc3NXdHRUQRvFCqEbgAAABRKhpEuSXJzqylnJ8/rtvPISJIuR6lSpSkqVqzy7SoPBezy5RgdO/aafvrpJwUGBlqHc/QbdzpCNwAAAAo1Bwd3OTp5XXf82cxUOUg6duy121cUTHPtGQvubm6Kio4meOOORegGAABAkXbRSFempMmulVTVuaS9y0E+ZWYk6dLlKNUODJSHu7skKSopSU9FRSkhIYHQjTsWoRsAAAB3hcoOxRR4gyPiuLNlSLooqb67u7y86EcUHjwyDAAAAAAAkxC6AQAAAAAwCaEbAAAAAACTELoBAAAAADAJoRsAAAAAAJMQugEAAAAAMAmhGwAAAAAAkxC6AQAAAAAwCaEbAAAAAACTELoBAAAAADAJoRsAAAAAAJPYNXT/+OOP6tq1q8qWLSuLxaJVq1bZjDcMQ+PHj1eZMmVUrFgxhYSE6PDhwzZtzp49qz59+sjb21u+vr4aOHCgEhMTb+NaAAAAAACQM7uG7kuXLqlevXpasGBBjuOnT5+uefPmafHixdqxY4c8PDzUoUMHJScnW9v06dNHBw8e1IYNG/T999/rxx9/1HPPPXe7VgEAAAAAgOtysufCO3XqpE6dOuU4zjAMzZkzR6+++qoeeeQRSdKHH34of39/rVq1Sr1791ZUVJTWrl2rnTt3qnHjxpKk+fPnq3Pnzpo5c6bKli1729YFAAAAAIBr3bHXdMfExCg+Pl4hISHWYT4+Prr//vu1bds2SdK2bdvk6+trDdySFBISIgcHB+3YseO6805JSdGFCxdsXgAAAAAAFLQ7NnTHx8dLkvz9/W2G+/v7W8fFx8erdOnSNuOdnJxUokQJa5ucTJ06VT4+PtZX+fLlC7h6AAAAAADu4NBtprFjx+r8+fPW1/Hjx+1dEgAAAACgCLpjQ3dAQIAk6eTJkzbDT548aR0XEBCgU6dO2YxPT0/X2bNnrW1y4urqKm9vb5sXAAAAAAAF7Y4N3ZUrV1ZAQIA2bdpkHXbhwgXt2LFDwcHBkqTg4GCdO3dOu3btsrbZvHmzMjMzdf/999/2mgEAAAAAuJpd716emJioI0eOWN/HxMRo7969KlGihCpUqKARI0bo9ddfV/Xq1VW5cmW99tprKlu2rLp16yZJCgwMVMeOHfXss89q8eLFSktL05AhQ9S7d2/uXA4AAAAAsDu7hu5ff/1VrVu3tr4fOXKkJKl///4KDw/XSy+9pEuXLum5557TuXPn1KJFC61du1Zubm7WaT755BMNGTJEbdu2lYODg3r06KF58+bd9nUBAAAAAOBadg3dDz74oAzDuO54i8WiyZMna/LkyddtU6JECX366admlAcAAAAAwC25Y6/pBgAAAACgsCN0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEid7F4Dci42NVUJCgr3LgAn8/PxUoUIFe5cBAAAAoIARuguJ2NhYBdasqaTkZHuXAhO4u7kpKjqa4A0AAAAUMYTuQiIhIUFJycn6ODBQge7u9i4HBSgqKUlPRUUpISGB0A0AAAAUMYTuQibQ3V0NvbzsXQYAAAAAIBe4kRoAAAAAACYhdAMAAAAAYBJCNwAAAAAAJuGabgB3NR7Fd3eIioqydwkAAOAuRegGcNeKjY1VzZqBSk5OsncpuE1SU1PsXQIAALjLELoB3LUSEhKUnJykwMCP5e4eaO9yYKIzZ1br2LHXlJ6ebu9SAADAXYbQDeCu5+4eKC+vhvYuAyZKSuL0cgAAYB/cSA0AAAAAAJMQugEAAAAAMAmhGwAAAAAAkxC6AQAAAAAwCaEbAAAAAACTcPdyADBRcnKs0tIS7F3GXe/y5Zj/+zdaFy963NK8uBM6AADIC0I3AJgkOTlWv/5SU+mZyfYuBf/n2LFndexYwczLMFILZkYAAKBII3QDgEnS0hKUnpms190DVdnB3d7l3NXS0s8oOfmY3NxqytnJ85bmtTX9jBYmH5ORmV5A1QEAgKKM0A0AJqvs4K5AJy97l3FXS81MUpIkdwd3udxiX8RkJBVMUQAA4K7AjdQAAAAAADAJoRsAAAAAAJMQugEAAAAAMAmhGwAAAAAAkxC6AQAAAAAwCaEbAAAAAACTELoBAAAAADAJoRsAAAAAAJMQugEAAAAAMAmhGwAAAAAAkxC6AQAAAAAwCaEbAAAAAACTELoBAAAAADAJoRsAAAAAAJMQugEAAAAAMAmhGwAAAAAAkxC6AQAAAAAwCaEbAAAAAACTELoBAAAAADAJoRsAAAAAAJMQugEAAAAAMAmhGwAAAAAAkxC6AQAAAAAwCaEbAAAAAACTELoBAAAAADAJoRsAAAAAAJMQugEAAAAAMAmhGwAAAAAAkxC6AQAAAAAwCaEbAAAAAACTELoBAAAAADAJoRsAAAAAAJMQugEAAAAAMAmhGwAAAAAAkxC6AQAAAAAwCaEbAAAAAACTELoBAAAAADAJoRsAAAAAAJMQugEAAAAAMAmhGwAAAAAAkxC6AQAAAAAwCaEbAAAAAACTELoBAAAAADAJoRsAAAAAAJMQugEAAAAAMAmhGwAAAAAAkxC6AQAAAAAwiZO9CygoCxYs0IwZMxQfH6969epp/vz5uu++++xdFgAAAIACdCkpKdvPq1evVlRUlL1KggmqVKmi4OBge5dRIIpE6P788881cuRILV68WPfff7/mzJmjDh06KDo6WqVLl7Z3eQAAAABuUaaRKkk24Xq7rpy6+9prr9mnKJjGQdL/fv65SATvIhG6Z82apWeffVYDBgyQJC1evFg//PCDPvjgA73yyit2rg4AAADArTKMdEmSm1tNOTt5SpIy0s4oM+WYJrqUVVVHH3uWhwJ0NOO8Jqae0J9//knovhOkpqZq165dGjt2rHWYg4ODQkJCtG3bNjtWBgAAAKCgOTi4y9HJS5JkybhyenlVRx/VcfW3Z1koSCmSdMLeVRSYQh+6ExISlJGRIX9/253M399fv//+e47TpKSkKCUlxfr+/PnzkqQLFy6YV+gtSkxMlCTtunhRiRkZdq4GBSn6/65F2rVrl7WfcXtER0dLkk6fXqmLF3cV+PyTk/+SJB1MPa1L6RcLfP7IvfSMC0qR5JqWIKfMS7c0rz/Tr/zOOJj+ry4bfB/fifLb3/Rt4ZPbvqZvi4ac+pu+LZr+zLiSy5KSku7ojJZVm2EYN2xnMW7W4g534sQJ3XPPPfr5mvP9X3rpJW3ZskU7duzINs3EiRM1adKk21kmAAAAAKAIOn78uMqVK3fd8YX+SLefn58cHR118uRJm+EnT55UQEBAjtOMHTtWI0eOtL7PzMzU2bNnVbJkSVksFlPrza8LFy6ofPnyOn78uLy9ve1dDgoQfVt00bdFE/1adNG3RRd9W3TRt0VTYelXwzB08eJFlS1b9obtCn3odnFxUaNGjbRp0yZ169ZN0pUQvWnTJg0ZMiTHaVxdXeXq6mozzNfX1+RKC4a3t/cd/cFD/tG3RRd9WzTRr0UXfVt00bdFF31bNBWGfvXxufkN/Ap96JakkSNHqn///mrcuLHuu+8+zZkzR5cuXbLezRwAAAAAAHsoEqG7V69eOn36tMaPH6/4+HjVr19fa9euzXZzNQAAAAAAbqciEbolaciQIdc9nbwocHV11YQJE7KdFo/Cj74tuujbool+Lbro26KLvi266Nuiqaj1a6G/ezkAAAAAAHcqB3sXAAAAAABAUUXoBgAAAADAJIRuAAAAAABMQui2owULFqhSpUpyc3PT/fffr19++eWG7VesWKFatWrJzc1NQUFBWr16tc14wzA0fvx4lSlTRsWKFVNISIgOHz5s5irgOgq6b0NDQ2WxWGxeHTt2NHMVkIO89OvBgwfVo0cPVapUSRaLRXPmzLnlecI8Bd23EydOzLbP1qpVy8Q1wPXkpW+XLFmiBx54QMWLF1fx4sUVEhKSrT2/a+8cBd23/K69M+SlX1euXKnGjRvL19dXHh4eql+/vj766CObNuyzd46C7ttCtc8asIvly5cbLi4uxgcffGAcPHjQePbZZw1fX1/j5MmTObbfunWr4ejoaEyfPt04dOiQ8eqrrxrOzs7G/v37rW2mTZtm+Pj4GKtWrTL27dtnPPzww0blypWNy5cv367VgmFO3/bv39/o2LGjERcXZ32dPXv2dq0SjLz36y+//GKMHj3a+Oyzz4yAgABj9uzZtzxPmMOMvp0wYYJRp04dm3329OnTJq8JrpXXvn3yySeNBQsWGHv27DGioqKM0NBQw8fHx/j777+tbfhde2cwo2/5XWt/ee3XiIgIY+XKlcahQ4eMI0eOGHPmzDEcHR2NtWvXWtuwz94ZzOjbwrTPErrt5L777jPCwsKs7zMyMoyyZcsaU6dOzbF9z549jS5dutgMu//++41BgwYZhmEYmZmZRkBAgDFjxgzr+HPnzhmurq7GZ599ZsIa4HoKum8N48qXyiOPPGJKvcidvPbr1SpWrJhjMLuVeaLgmNG3EyZMMOrVq1eAVSI/bnUfS09PN7y8vIxly5YZhsHv2jtJQfetYfC79k5QEL8XGzRoYLz66quGYbDP3kkKum8No3Dts5xebgepqanatWuXQkJCrMMcHBwUEhKibdu25TjNtm3bbNpLUocOHaztY2JiFB8fb9PGx8dH999//3XniYJnRt9miYyMVOnSpVWzZk0NHjxYZ86cKfgVQI7y06/2mCfyzsx+OHz4sMqWLasqVaqoT58+io2NvdVykQcF0bdJSUlKS0tTiRIlJPG79k5hRt9m4Xet/dxqvxqGoU2bNik6OlotW7aUxD57pzCjb7MUln2W0G0HCQkJysjIkL+/v81wf39/xcfH5zhNfHz8Ddtn/ZuXeaLgmdG3ktSxY0d9+OGH2rRpk9566y1t2bJFnTp1UkZGRsGvBLLJT7/aY57IO7P64f7771d4eLjWrl2rRYsWKSYmRg888IAuXrx4qyUjlwqib19++WWVLVvW+h9FftfeGczoW4nftfaW3349f/68PD095eLioi5dumj+/Plq166dJPbZO4UZfSsVrn3Wyd4FALi53r17W38OCgpS3bp1VbVqVUVGRqpt27Z2rAxATjp16mT9uW7durr//vtVsWJFffHFFxo4cKAdK0NuTZs2TcuXL1dkZKTc3NzsXQ4K0PX6lt+1hZOXl5f27t2rxMREbdq0SSNHjlSVKlX04IMP2rs03KKb9W1h2mc50m0Hfn5+cnR01MmTJ22Gnzx5UgEBATlOExAQcMP2Wf/mZZ4oeGb0bU6qVKkiPz8/HTly5NaLxk3lp1/tMU/k3e3qB19fX9WoUYN99ja6lb6dOXOmpk2bpvXr16tu3brW4fyuvTOY0bc54Xft7ZXffnVwcFC1atVUv359jRo1So899pimTp0qiX32TmFG3+bkTt5nCd124OLiokaNGmnTpk3WYZmZmdq0aZOCg4NznCY4ONimvSRt2LDB2r5y5coKCAiwaXPhwgXt2LHjuvNEwTOjb3Py999/68yZMypTpkzBFI4byk+/2mOeyLvb1Q+JiYk6evQo++xtlN++nT59uqZMmaK1a9eqcePGNuP4XXtnMKNvc8Lv2turoL6PMzMzlZKSIol99k5hRt/m5I7eZ+19J7e71fLlyw1XV1cjPDzcOHTokPHcc88Zvr6+Rnx8vGEYhtG3b1/jlVdesbbfunWr4eTkZMycOdOIiooyJkyYkOMjw3x9fY1vvvnG+O2334xHHnmERyLYQUH37cWLF43Ro0cb27ZtM2JiYoyNGzcaDRs2NKpXr24kJyfbZR3vRnnt15SUFGPPnj3Gnj17jDJlyhijR4829uzZYxw+fDjX88TtYUbfjho1yoiMjDRiYmKMrVu3GiEhIYafn59x6tSp275+d7O89u20adMMFxcX48svv7R5BM3Fixdt2vC71v4Kum/5XXtnyGu/vvnmm8b69euNo0ePGocOHTJmzpxpODk5GUuWLLG2YZ+9MxR03xa2fZbQbUfz5883KlSoYLi4uBj33XefsX37duu4Vq1aGf3797dp/8UXXxg1atQwXFxcjDp16hg//PCDzfjMzEzjtddeM/z9/Q1XV1ejbdu2RnR09O1YFVyjIPs2KSnJaN++vVGqVCnD2dnZqFixovHss88SzOwgL/0aExNjSMr2atWqVa7nidunoPu2V69eRpkyZQwXFxfjnnvuMXr16mUcOXLkNq4RsuSlbytWrJhj306YMMHaht+1d46C7Ft+19458tKv48aNM6pVq2a4ubkZxYsXN4KDg43ly5fbzI999s5RkH1b2PZZi2EYxu09tg4AAAAAwN2Ba7oBAAAAADAJoRsAAAAAAJMQugEAAAAAMAmhGwAAAAAAkxC6AQAAAAAwCaEbAAAAAACTELoBAAAAADAJoRsAAAAAAJMQugEAuAtYLBatWrXK3mUoPj5e7dq1k4eHh3x9fe1dDgAApiN0AwBwHaGhobJYLLJYLHJxcVG1atU0efJkpaen27u065o4caLq16+fbXhcXJw6dep0+wu6xuzZsxUXF6e9e/fqjz/+sHc5AACYzsneBQAAcCfr2LGjli5dqpSUFK1evVphYWFydnbW2LFjs7VNTU2Vi4uLHaqUDMNQRkbGdccHBATcxmqu7+jRo2rUqJGqV69u71IAALgtONINAMANuLq6KiAgQBUrVtTgwYMVEhKib7/9VtKVI+HdunXTG2+8obJly6pmzZqSpP3796tNmzYqVqyYSpYsqeeee06JiYnWeWZNN2nSJJUqVUre3t56/vnnlZqaam2TkpKiYcOGqXTp0nJzc1OLFi20c+dO6/jIyEhZLBatWbNGjRo1kqurqz7++GNNmjRJ+/btsx6hDw8Pl5T99PLc1jhz5kyVKVNGJUuWVFhYmNLS0m64vRYtWqSqVavKxcVFNWvW1EcffWQdV6lSJX311Vf68MMPZbFYFBoaet35fPDBB6pTp45cXV1VpkwZDRkyxDpu1qxZCgoKkoeHh8qXL68XXnjBpva//vpLXbt2VfHixeXh4aE6depo9erV1vEHDhxQp06d5OnpKX9/f/Xt21cJCQnW8V9++aWCgoKs2yYkJESXLl264XoDAHA9hG4AAPKgWLFiNuF406ZNio6O1oYNG/T999/r0qVL6tChg4oXL66dO3dqxYoV2rhxo01ozJouKipKkZGR+uyzz7Ry5UpNmjTJOv6ll17SV199pWXLlmn37t2qVq2aOnTooLNnz9rM55VXXtG0adMUFRWldu3aadSoUapTp47i4uIUFxenXr16ZVuH3NYYERGho0ePKiIiQsuWLVN4eLg1xOfk66+/1vDhwzVq1CgdOHBAgwYN0oABAxQRESFJ2rlzpzp27KiePXsqLi5Oc+fOzXE+ixYtUlhYmJ577jnt379f3377rapVq2Yd7+DgoHnz5ungwYNatmyZNm/erJdeesk6PiwsTCkpKfrxxx+1f/9+vfXWW/L09JQknTt3Tm3atFGDBg3066+/au3atTp58qR69uwp6cpp+E888YSefvppa/90795dhmFcd70BALghAwAA5Kh///7GI488YhiGYWRmZhobNmwwXF1djdGjR1vH+/v7GykpKdZp3nvvPaN48eJGYmKiddgPP/xgODg4GPHx8dbpSpQoYVy6dMnaZtGiRYanp6eRkZFhJCYmGs7OzsYnn3xiHZ+ammqULVvWmD59umEYhhEREWFIMlatWmVT84QJE4x69eplWxdJxtdff52nGitWrGikp6db2zz++ONGr169rru9mjVrZjz77LM2wx5//HGjc+fO1vePPPKI0b9//+vOwzAMo2zZssa4ceNu2OZqK1asMEqWLGl9HxQUZEycODHHtlOmTDHat29vM+z48eOGJCM6OtrYtWuXIck4duxYrpcPAMCNcKQbAIAb+P777+Xp6Sk3Nzd16tRJvXr10sSJE63jg4KCbK7jjoqKUr169eTh4WEd1rx5c2VmZio6Oto6rF69enJ3d7e+Dw4OVmJioo4fP66jR48qLS1NzZs3t453dnbWfffdp6ioKJv6GjdunOd1ym2NderUkaOjo/V9mTJldOrUqRvO9+qas+Z7bc03curUKZ04cUJt27a9bpuNGzeqbdu2uueee+Tl5aW+ffvqzJkzSkpKkiQNGzZMr7/+upo3b64JEybot99+s067b98+RUREyNPT0/qqVauWpCvXm9erV09t27ZVUFCQHn/8cS1ZskT//vtvrusHAOBahG4AAG6gdevW2rt3rw4fPqzLly9r2bJlNmH16p/twczlOzs727y3WCzKzMw0bXnSldP3b+TYsWN66KGHVLduXX311VfatWuXFixYIEnW0/6feeYZ/fnnn+rbt6/279+vxo0ba/78+ZKkxMREde3aVXv37rV5HT58WC1btpSjo6M2bNigNWvWqHbt2po/f75q1qypmJgYU9cbAFB0EboBALgBDw8PVatWTRUqVJCT080f+hEYGKh9+/bZ3Hhr69atcnBwsN5oTbpyxPXy5cvW99u3b5enp6fKly9vvRHZ1q1brePT0tK0c+dO1a5d+4bLd3FxueFdzPNSY14FBgba1Jw135vVfDUvLy9VqlRJmzZtynH8rl27lJmZqbfffltNmzZVjRo1dOLEiWztypcvr+eff14rV67UqFGjtGTJEklSw4YNdfDgQVWqVEnVqlWzeWX9AcNisah58+aaNGmS9uzZIxcXF3399de5XgcAAK5G6AYAoAD16dNHbm5u6t+/vw4cOKCIiAgNHTpUffv2lb+/v7VdamqqBg4cqEOHDmn16tWaMGGChgwZIgcHB3l4eGjw4MEaM2aM1q5dq0OHDunZZ59VUlKSBg4ceMPlV6pUSTExMdq7d68SEhKUkpKS7xrzasyYMQoPD9eiRYt0+PBhzZo1SytXrtTo0aPzNJ+JEyfq7bff1rx583T48GHt3r3beqS6WrVqSktL0/z58/Xnn3/qo48+0uLFi22mHzFihNatW6eYmBjt3r1bERERCgwMlHTlJmtnz57VE088oZ07d+ro0aNat26dBgwYoIyMDO3YsUNvvvmmfv31V8XGxmrlypU6ffq0dXoAAPKK0A0AQAFyd3fXunXrdPbsWTVp0kSPPfaY2rZtq3feecemXdu2bVW9enW1bNlSvXr10sMPP2xzrfi0adPUo0cP9e3bVw0bNtSRI0e0bt06FS9e/IbL79Gjhzp27KjWrVurVKlS+uyzz/JdY15169ZNc+fO1cyZM1WnTh29++67Wrp0qR588ME8zad///6aM2eOFi5cqDp16uihhx7S4cOHJV25Fn7WrFl66623dO+99+qTTz7R1KlTbabPyMhQWFiYAgMD1bFjR9WoUUMLFy6UJJUtW1Zbt25VRkaG2rdvr6CgII0YMUK+vr5ycHCQt7e3fvzxR3Xu3Fk1atTQq6++qrfffludOnW6pW0DALh7WQyDZ2AAAHA7hYaG6ty5czbPzQYAAEUTR7oBAAAAADAJoRsAAAAAAJNwejkAAAAAACbhSDcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJiF0AwAAAABgEkI3AAAAAAAmIXQDAAAAAGASQjcAAAAAACYhdAMAAAAAYBJCNwAAAAAAJvl/jh4nqwGJ0VoAAAAASUVORK5CYII=", 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" ] @@ -127,18 +181,11 @@ "\n", " # Primary contact tracing: randomly decide which infected people get traced\n", "\n", - " #IN THIS STEP, I THINK WE ARE USING PROBABILITY SAMPLING TECHNIQUE WHERE EACH INFECTED INDIVIDUAL HAS A 20% CHANCE OF BEING TRACED. \n", - " #Each infected person (SAMPLING UNIT) is independently traced with probability OF TRACE_SUCCESS= 0.20. \n", - " # This might introuduce some bias if the tracing success is not uniform across all infected individuals. \n", - " #Each infected individual has an equal chance of being traced, which may not reflect real-world scenarios where certain groups might be more or less likely to be traced.\n", "\n", " ppl.loc[ppl['infected'], 'traced'] = np.random.rand(sum(ppl['infected'])) < TRACE_SUCCESS\n", "\n", " # Secondary contact tracing based on event attendance\n", - " #This step involves identifying events where at least SECONDARY_TRACE_THRESHOLD infected individuals have already been traced. \n", - " #All infected individuals who attended these events are then marked as traced.\n", - " # However, this approach assumes that once an event is identified as having traced individuals, all other infected attendees can be traced as well, which may not always be feasible in practice due to resource constraints or other factors.)\n", - " # Also it seems like the sampling frame used here is CLUSTER SAMPLING WHERE THE CLUSTERS ARE THE EVENTS (WEDDINGS AND BRUNCHES).\n", + "\n", "\n", " event_trace_counts = ppl[ppl['traced'] == True]['event'].value_counts()\n", " events_traced = event_trace_counts[event_trace_counts >= SECONDARY_TRACE_THRESHOLD].index\n", @@ -162,8 +209,8 @@ "\n", "# Plotting the results\n", "plt.figure(figsize=(10, 6))\n", - "sns.histplot(props_df['Infections'], color=\"blue\", alpha=0.75, binwidth=0.05, kde=False, label='Infections from Weddings')\n", - "sns.histplot(props_df['Traces'], color=\"red\", alpha=0.75, binwidth=0.05, kde=False, label='Traced to Weddings')\n", + "sns.histplot(props_df['Infections'], alpha=0.75, color=\"blue\", binwidth=0.05, kde=False, label='Infections from Weddings')\n", + "sns.histplot(props_df['Traces'], alpha=0.75, color=\"red\", binwidth=0.05, kde=False, label='Traced to Weddings')\n", "plt.xlabel(\"Proportion of cases\")\n", "plt.ylabel(\"Frequency\")\n", "plt.title(\"Impact of Contact Tracing on Perceived Flu Infection Sources\")\n", @@ -174,13 +221,13 @@ }, { "cell_type": "code", - "execution_count": null, - "id": "4c563949", + "execution_count": 10, + "id": "1cff6c23", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", 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", 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", 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" ] @@ -200,24 +247,21 @@ } ], "source": [ - "# to ensure reproducibility, I set a random seed before running the simulations multiple times. \n", - "# This way, the random processes within the simulation yield consistent results across different runs.\n", - "\n", - "np.random.seed(42) \n", - "\n", - "for n_runs in [10, 100]: # Testing with different numbers of simulation runs\n", + "#set random seed for reproducibility\n", + "np.random.seed(42) \n", + "for n_runs in [10, 100]:\n", " results = [simulate_event(m) for m in range(n_runs)]\n", " props_df = pd.DataFrame(results, columns=[\"Infections\", \"Traces\"])\n", "\n", " plt.figure(figsize=(10, 6))\n", - " sns.histplot(props_df['Infections'], alpha=0.75, binwidth=0.05, kde=False, label='Infections from Weddings')\n", - " sns.histplot(props_df['Traces'], alpha=0.75, binwidth=0.05, kde=False, label='Traced to Weddings')\n", + " sns.histplot(props_df['Infections'], alpha=0.75, color=\"blue\", kde=False, binwidth=0.05, label='Infections from Weddings')\n", + " sns.histplot(props_df['Traces'], alpha=0.75, color=\"red\", kde=False, binwidth=0.05, label='Traced to Weddings')\n", " plt.title(f\"Simulation with {n_runs} repetitions\")\n", " plt.xlabel(\"Proportion of cases\")\n", " plt.ylabel(\"Frequency\")\n", " plt.legend()\n", " plt.tight_layout()\n", - " plt.show()" + " plt.show()\n" ] }, {