diff --git a/tutorials/05_embedding_net.ipynb b/tutorials/05_embedding_net.ipynb index 9144a64e3..6e54f0933 100644 --- a/tutorials/05_embedding_net.ipynb +++ b/tutorials/05_embedding_net.ipynb @@ -10,7 +10,7 @@ "\n", "However, in other cases, it might be of interest to actually **learn from the data** which summary statistics to use, e.g., because the raw data is highly complex and domain knowledge is not available or not applicable. \n", "\n", - "`sbi` offers functionality to learn summary statistics from (potentially high-dimensional) simulation outputs with a neural network. In `sbi`, this neural network is referred to as `embedding_net`. If an `embedding_net` is specified, the simulation outputs are passed through the `embedding_net`, whose outputs are then passed to the neural density estimator. The parameters of the `embedding_net` are learned together with the parameters of the neural density estimator.\n", + "`sbi` offers functionality to learn summary statistics from (potentially high-dimensional) simulation outputs with a neural network. In `sbi`, this neural network is referred to as `embedding_net`. If an `embedding_net` is specified, the simulation outputs are passed through the `embedding_net`, whose outputs are then passed to the neural density estimator. The parameters of the `embedding_net` are learned together with the parameters of the neural density estimator. `sbi` provides pre-configured embedding networks (MLP, CNN, premutation-invariant networks) or allows to pass custom-written embedding networks.\n", "\n", "NB: only `SNPE` and `SNRE` methods can use an `embedding_net` to learn summary statistics from simulation outputs. `SNLE` does not offer this functionality since the simulation outputs $x$ are the outputs of the neural density estimator.\n", "\n", @@ -39,7 +39,7 @@ { "data": { "text/plain": [ - "" + "" ] }, "execution_count": 1, @@ -159,9 +159,9 @@ }, { "data": { - "image/png": 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lpaUJOzs7cfXqVSFE/ve/kJAQ8b///U+kpKTkaz8mJka4ublZft+/f38xZ84cq7nIHG/Xrl2Wvy9cuNDy3Bg+fLgYN26c5QIl1/r160X79u3z/W78+PGW1/3IkSPF8OHD8/39zTffFM8884wQQojU1FTh4uIirl27JoQQolGjRmLv3r2W2NjYWGFnZyeMRqN477338r0e0tPThb29vdXPgJycHGFnZ5fvQu2NN97IV3gU5OXlZbnglHnu9+3bV3z66adW//bBBx/ky/X69etCp9OJjIwMy++GDRt2T+Fx5cqVQo+XlJQkAFguemfPni2GDh0qhBAiISFBODs75/uyLa+ChYeTk5PIyckRQtx9DACIX375xRL/wAMPiG+//dZqW5988ol44oknhBBCrFixIt+XI2azWQQHB1sucrt37y4WL15s+bvJZBLOzs6WxzuvqKgoy5dgzz77rPjf//5nudAdMWKE+O9//2vJX6bwyPtcbd26tVi3bp3V+5PXpUuXxFtvvSX++eefe/6WkpIimjVrJmbOnFlkG5s2bRLBwcHC19fXUqAX5+bNm2L69Onir7/+uudvBoNBPPbYY2L8+PGF3n7ZsmX3fN60bt1arFy5UgiRv/AQ4u41kLe3t6hdu7ZYu3atEOLuY+fi4pKvgDh69KioU6eOECL/eS/u2uPSpUtCq9VK3XelONSqjMTGxiIkJARa7b+nNDQ0FDExMZafQ0JCCr1tUFAQNBpNsbG5AgICLP/v4uKSb7ziypUr0bJlS3h5ecHLywt//vkn4uPji2yvXr16+PTTT/Huu+/C398fgwcPvqcLP6+aNWta/t/Z2fmen0syflJJ3tevX0dsbKwl1svLCzNnzsTt27cBWD+noaGhRR4/7zkPDQ213H+Zx7agoh6fvJSc944dO+LAgQM4dOgQOnbsiE6dOuHgwYM4ePAgOnbsWOR9K2l+Z86cyTekqzTc3NwsE+9ypaamwt3dvdDbrFq1Cu3bt0fdunVL1U5xzy1r50Ppc+jatWuIjIxEcnKy5d+jjz56z9yLkjh79izuu+8+y/8HBgbC29sbQP5hVqdOncLevXvxyiuvlPqY9K/CXi+xsbH5nhNubm7w9fW1+t6wefNm7Ny5E6GhoejYsSOOHTsGAKhVqxYiIiKwefNmJCcnY9euXRg2bJjVPGSOV9j72EcffQQhBB566CE0bdoUS5cuBXD3vTR3WFHuvzVr1uDWrVtW2wSAoUOHYsuWLdDr9diyZQseeOABS17Xr19Hv379LG01btwYOp0Ot2/ftryX5nJ1dYWvr6/V+xoXF2cZJ5/3/uQ1d+5cNG7cGJ6envDy8kJKSkqRn3W7du1C27Zt4ePjAy8vL+zcubPQeG9vb6SlpVl+jo2NhY+PD1xcXAo9LwV/ZzKZ8PrrryM8PBweHh6oU6cOAFiO+fTTT2P79u3IyMjAhg0b8MgjjyAwMLDQ/PPy9fWFTqcDAMvk98I+hy9duoTevXsjICAAHh4emDZtmiWHgo+JRqPJN7zs+vXrmDRpkuXx9PHxgRDC6nM8PDwcrq6uOHXqFA4fPozevXujVq1a+Ouvv8r1cyqv+vXro2nTppgwYUK+32dlZaFPnz5o27Yt3njjjSLb6NOnD0wmExo2bCi9ilpQUBC6d++OwYMH5/u92WzG8OHD4eDggAULFhTbRsHPm8KuB9q0aYOwsDAIITBw4EAAd18zmZmZePDBBy2PV/fu3REXF3fP7Yu79khLS4Onp6fUfVeKhUcZqVWrFqKjoy3jaQHgxo0bCAoKsvyc9wmVV2BgIGJiYiCEsPwuOjq6RHlcv34d48aNw4IFC5CQkIDk5GQ0a9YsX9uFGTp0KI4cOYLr169Do9GUyXJqLi4uyMzMtPyc98NMad4FC7O6devmu8hLS0vDzp07AVg/p8WtLpT3nN+4cQO1atUCIPfYyrL2HJA977mFx+HDh9GxY0d07Nix2MKjsOecjOvXr8NoNKJRo0ZW/96jR497Vp/K/dejR4974hs0aICcnBxcvnzZ8rvTp0+jadOmheawcuXKe1byUNpOSV8TSp9Der0+30XJ1atXceLECURGRt4Tq/Tc5S08Tp8+bfl/IH/hceDAAVy7dg21a9dGQEAA5s6di82bN+OBBx4o8r5SydSqVSvfePeMjAwkJCRYfW9o3bo1tm3bhjt37uCJJ56wXCwAd8fGr169Ghs3bkS7du0KfW+ROV5h72MBAQH4+uuvERsbi6+++goTJkxAVFQUQkJC0LFjx3zvpenp6fjyyy8t7RR8H2nSpAlCQ0Oxa9curF27FkOHDrX8LSQkBLt27crXXnZ2NoKCghAYGJgvv8zMTCQkJFi9rzVq1ICdnd099yfX4cOH8dFHH2HDhg1ISkpCcnIyPD09La/Xgjnr9Xr0798fr776Km7fvo3k5GT07Nmz0PeB5s2b49KlS5afAwMDkZiYmO/zzNrndN7jrl27Ftu2bcPevXuRkpJimVice8ygoCC0a9cOW7ZswapVqzB8+HCruZTW888/j0aNGuHy5ctITU3FzJkzLTkEBgbi5s2bllghRL6fQ0JC8NVXX+V7PLOysvDwww9bPVbHjh2xadMmGAwGBAUFoWPHjlixYgWSkpLQsmVLq7cpzeeUNTk5OfnmA+n1ejzxxBMIDg4ucl5PrjfffBONGzfGP//8g3Xr1pX4uEIIyxzYzZs3w97evsjbW/u8yX39FrRw4ULo9XrUqlXLMi/Gz88Pzs7OOHfunOWxSklJKbRgK+ra48KFC4XONyotFh5lpE2bNnBxccFHH30Eo9GIAwcOYPv27fdUv9a0a9cOOp0OCxYsQE5ODrZt24Zff/21RHlkZGRAo9GgRo0aAO5Opvvzzz+Lvd1ff/2Fn376CXq9Hk5OTnB2ds73DX9JtWzZEmvXroXJZMLu3btx8ODBEudds2ZNy5r4Dz30ENzd3TFnzhxkZWXBZDLhzz//tEzkbdeuHezs7PDZZ5/BaDRiy5YtxZ7ThQsX4ubNm0hMTMSHH35omXxZmse2oLz3AVB23jt27Ij9+/cjKysLwcHBeOSRR7B7924kJCTg/vvvlzqeErkXuIXls2vXrnyrT+X9Z23ZQFdXVzz55JN45513kJGRgZ9//hnbtm0r9MP26NGjiImJuafHRWk7JX1NKH0OtW7dGgcPHkRsbCyio6MxdOhQfPjhh/Dx8bknVsm5i4uLQ1xcHJo0aQLg7kTgBg0aALhb3Oj1ejRu3BgAMH78eFy5cgWnTp3CqVOn8Nxzz6FXr1744Ycfir2/pNyQIUOwbNkynDp1Cnq9HtOmTUObNm0s32znMhgMWLNmDVJSUmBvbw8PD498r6snnngCv//+O+bPn48RI0aU6ngff/wxkpKSEB0djfnz51vexzZu3Gi5oPT29oZGo7FMer106RJWrVoFo9EIo9GI3377DRcuXCjyvg8dOhTz58/HoUOH8r1Gn3vuObz55puWAikuLg7btm0DAAwYMAA7duzAkSNHYDAY8M477+T7QicvnU6HJ598Eu+++y4yMzNx/vz5fPsYpKWlwc7ODjVq1EBOTg7ef//9fD2hNWvWxLVr1yztGwwG6PV6S0Gza9cu/Pjjj4Xev4ceegjJycmWb/ZDQ0PRqlUrvPvuuzAYDDh27Fi+RQGsSUtLg6OjI3x9fZGZmYlp06bdEzNixAh89NFHOHv2LJ588ski2yuptLQ0eHh4wM3NDRcvXsxXVPbq1Qtnz57F1q1bkZOTg4ULF+b7gvC5557DrFmzLJPiU1JSsHHjxkKP1bFjRyxYsAAdOnQAcHeS8oIFC9C+fXtLD01BpfmcAoDFixdbln49f/48Zs2aZVlYw2g0YsCAAXB2dsaKFSuKva45dOgQli1bhpUrV2LFihV48cUXCx3dsGbNGksxfP36dbz55pv5FvR4/vnnceHCBWzfvl1qSeY7d+5YPm82btyICxcu5Fs0JNelS5fw1ltvYfXq1Vi1ahU++ugjnDp1ClqtFuPGjcMrr7xiOR8xMTFW3/+Lu/Y4ePCg1S/BygILjzLi4OCA7du3Y9euXfDz88OECROwcuXKQr8tLnjbLVu2YMmSJfDy8sLq1avRu3dvODo6Ks6jSZMmmDx5Mtq1a4eaNWvi7NmziIiIKPZ2er0er7/+Ovz8/BAQEIA7d+5g1qxZio9f0Pz587F9+3ZL9/0TTzxR4rzfeOMNfPDBB/Dy8sInn3yCHTt24NSpU6hbty78/PwwduxYpKSkAPj3nC5fvhw+Pj745ptvin1THzp0KB5//HGEhYUhPDzcsoJIaR7bgvLeh7lz5yo67w0aNICbm5tldScPDw+EhYUhIiKi0Df0gsdT4vTp04V+Q1VSX3zxBbKysuDv748hQ4bgyy+/tPRU9OjRI99KLCtWrMCTTz5pdQhVUe0UVNLXhNLnUOfOndG7d280aNAA7du3x/DhwzFu3Lhij1Ocs2fPIjw83PLBFRQUhA0bNuD48eP4/vvv830wubi4ICAgwPLPzc0NTk5OlqKLylaXLl0wY8YM9O/fH4GBgbhy5QrWr19vNXbVqlWoU6cOPDw88L///Q9r1qyx/M3Z2Rn9+/fH1atXi3yOyRyvb9++ePDBB9GyZUv06tULY8aMAXB3FaU2bdrAzc0NkZGRmD9/PsLCwuDu7o4ff/wR69evR61atRAQEICpU6dCr9cXed+HDBmCgwcPonPnzvlW9pk0aRIiIyPx+OOPw93dHW3btrXsm9C0aVMsXLgQQ4cOtQwXLGpDswULFiA9PR0BAQEYNWoUnnnmGcvfunXrhu7du6NBgwYIDQ2Fk5NTviFDucWQr6+vZWW6zz77DAMHDoS3tzfWrl1rtTcyl4ODA0aNGoXVq1dbfrdmzRocO3YMvr6+eOuttzBo0KAiP6dHjBiB0NBQBAUFoUmTJmjbtu09Mf369bMMT8vbY1qW5s6di7Vr18Ld3R3jxo3Lt6KZn58fNm7ciClTpsDX1xfnz59Hq1atLPerX79+mDp1KgYPHgwPDw80a9asyP0oOnbsiLS0NEvh0b59e2RmZlp+tqY0n1MA8PPPP+O+++6Dq6srevbsiZ49e1o+S44ePYodO3bgxx9/hJeXl6VnOXcFtLxSU1MxYsQILFiwAEFBQXjkkUcwZswYPPPMM1Z7xs6fP4+HH34Yrq6uiIiIQMOGDfH1118DuFuIfPXVVzh16pTlvdjNzS3f676gNm3a4PLly/Dz88Obb76JTZs23TMUMScnB08//TSmTp2KFi1aoH79+pg5cyaGDx8OvV6POXPmoF69emjbti08PDzQpUsXqyt4FXXtkZ2djZ07d5bbviEaITMGhypcmzZt8Nxzz+V7o6XyU6dOHSxevBhdunRROxUiaT179sQLL7xg9Vsxsi3vv/8+Ll26lO9Cl9QVFxeHRx55BH/88YfVb6wHDRqERo0a4b333ivVccLDw/HVV19Vis8fs9mM4OBgrFmzBo8++qja6VQby5cvx+LFi3HkyBG1U8Hnn3+O6OjofEsblyW7cmmVFDt48CAaNmwIPz8/rFmzBmfOnCmTSalEVHV16tSJFwdVQGJiIpYsWVLsnjZUsWrUqIGLFy9afv7tt9/g4+ODunXr4scff8S2bdvw+uuvl+oYmzdvhkajsez7oYYffvgBbdq0gbOzMz7++GMIIaz2zlD18OKLL5Zr+6oWHqNHj8aOHTvg7+8vNea6Kvvrr78wcOBAZGRkICwsDJs2bZJe3YKIqqcpU6aonQKV0tdff42XX34Zw4cPL3I4Cqnv1q1bePLJJ5GQkIDg4GB8+eWXhc6vk9GpUyecP38eq1atKpM5lSV17NgxDB06FAaDAU2aNMHWrVul5iQQlYSqQ60OHToENzc3jBgxotoXHkREREREVZmqk8s7dOhgdcUXIiIiIiKqWriqFRERERERlbtKP7l80aJFWLRoEYC769eXZAlTorJmNpuRmZmJnJwcAICXlxdu3LgBg8GAnJwcNGrUCDdu3EBWVhZ0Oh2Cg4Oh1+uRmpoKnU4HT09PODg4IDU1FVqtFg4ODnB1dbUsB6zRaODh4YH09HSYTCYIIeDu7o7s7GxkZGTAbDbD3d0dGo0GcXFxMJlMcHV1hZ+fn2XpPEdHR4SHh+Off/4BANjb28PHxwc5OTnQarWws6v0L3+qJq5du1bkjtOlpdPpCl1yuiCj0aio3fIgu6Fa7vtPWVMy36CwfTiscXJyko6tDPdNycZ2JpOpXNqVpWTUvJJci9v0rqTtKvn8UfKaVPL4KjlnSs5DcUtRl+T4Su6XkvclJbEGg0E61tvbu9D39Ep/5TF+/HiMHz8eANCqVSucOHFC5YyoOsjJyUF0dDSioqLQoEED3Lx5Ex9//DGio6MxZMgQDB48GLNnz0ZgYCCaNGmCfv364Y8//oCfnx/8/f1LtAdLWdPr9XB0dMSJEycQHR2N27dvY+TIkVi5ciU2bdqE+Ph4zJ8/HwaDAT/99BPq1auH9u3bIzw83LK5GFFFaNWqVbm2r9PpEBAQIBWbW6jL8PT0lI5VciEt+/6hpFhTUiAomVicnZ0tHVtwY8WiFLajuTVKLuSVFD8ODg7SscnJydKxsudXyXNGyeOrJNegoCDp2NwvzmR4e3tLxyp5TSrZC0VJQVPYDuLWXL58WSpOyWOm5H5Z2/uqMB4eHtKx0dHR0rFFvdYrfeFBVBGOHj2KY8eO4dSpU/jggw+wadMm/Pzzz6hXrx4CAwPRqFEjfPrppwgJCbF8Q7BgwYJ8bZRmdZPykHvx0qpVq3wXds8++yyeffZZy8+3b9+GwWDAlStXEBMTg6ysLIwaNQqOjo4YOHAgXn75ZRw7dgzNmzdX9IZGRERElJeqhceQIUNw4MABxMfHIzg4GO+9955ll1WisiaEQFJSEnx8fPDuu+/it99+w61bt3D8+HFcvHgR/v7+eO211xAUFITJkydj8uTJ+W5fcAfRqqJmzZr3bED3xx9/ICMjA4mJicjMzMSaNWswdepU+Pr6Ytu2bfjiiy8QEhKCdu3a5du1mIiIiKgwqhYe69atU/PwVMWZTCbEx8fD1dUV48aNw7lz59CqVSssXboUnTp1wtixYxEUFASNRoPRo0ernW6l4+rqCldXVwDAF198AeDfMamBgYE4duwYPv/8c+zYsQNfffUV3N3d8w3VIiIiIsqLQ62oytDr9UhMTITBYMCzzz5r2ezp7bffxltvvYXGjRtb5i106tRJ3WRtVG5B0a9fP/Tr18/y+4iICOzfvx9TpkzB/PnzsWfPHqSkpOCRRx7B/fffX26TcImIiMh2sPAgm2Y0GnHp0iW8/vrriImJwYsvvoghQ4Zg8eLFCA4OtsQ1bdpUxSyrvgceeAAPPPCAZXhap06dcODAASxYsAAvvPAC4uLiEB8fj8cffxw1a9ZUOVsiIiJSAwsPsjkXL17EF198gcOHD2PixIno378/Pv30U4SHh1ti8hYdVPHCwsIQFhZmGcJ26dIlnD59GoMHD8brr7+O4OBgJCUloW3btlzWl4iIqJrgeplU6SUkJGDx4sXo2bMn1q1bB51Oh8jISPzyyy8YO3YsvL298xUdVPk0aNAAr7/+Ovbv349u3bpBr9dj5cqVeOCBB7B582YkJycjMzNT7TSJiIioHPGrRqqUEhIS8O2336JZs2ZISUlBUlISFi5ciLp16wIA6tevr3KGVBoPPPAAFi1aBCEEjEYjjhw5gldffRX169fH5MmT8dBDD6mdIhEREZUxFh5UaSQkJEAIgd27d+PLL7/EE088gdq1a6NWrVro1q2b2ulROdBoNHBwcEDnzp1x8uRJnDlzBg4ODtixYwdWrlyJgQMHomfPnoo2TyIiIqLKiYUHqe6XX37BjBkzkJSUhLlz52Lo0KF4+umn1U6LKphGo0GLFi0AAI0aNUJISAg2btwIo9GIBx98EDExMejYsSN3VCfFcnJycPv2balYf39/6XaVbKipZIlp2R2VlexsrWTHbtlzBZTf7u1JSUnSsUr2WFKyW7US6enp0rFubm5ScUp2GFdybnOXRZdx/fp16VglC4coeR9XMg9QSWzucvEyTCaTdKzs0O8rV65It+ng4CAdq2QVyfj4eOnYslomn4UHqeLcuXNYsmQJOnbsiIYNG2LevHlo2LCh2mlRJZFbhOQWIpcvX8batWvxn//8B7Nnz2YPGBERkQ1i4UEVJjU1FVlZWTh48CBWr16NMWPGoGfPnrC3t1c7Nark6tevj6+//hrp6enIzMzExo0bsXz5cowePRp9+vRR9G0QERERqYOFB5W7y5cvY+bMmTh9+jRmz56NgQMHYuDAgWqnRTbIzc0Nbm5ueOqpp9C8eXMsXboUDg4OqF+/PhwdHS2LDxAREVHlw8KDyoXJZMJ3330HjUaDJk2aYNSoUejQoUOZjREkatiwIebMmQMAOHr0KKZNmwZfX1/Mnj2bq54RERFVQpylSWXu/PnzePDBB3Hw4EE0b94cDRo0QMeOHVl0ULl5+OGHceDAAbzxxhtwdXXF0qVLsWbNGhgMBrVTIyIiov/HwoPKxNWrV/HKK69g6tSpCA8Px8GDB/Hpp58iLCxM7dSoGmnVqpVl+eVz586hVatW+PvvvxWt4kJERETlg4UHlUpaWhru3LmDsWPHokOHDpg5cyYcHR0VLbFIVNaCgoIwc+ZM/PLLL6hTpw4mTpyI//znP7h165baqREREVVbLDyoRM6dO4fBgwfjueeeg7+/P/bt24d+/fopWj+aqLy5uLhAq9Xi888/R5s2bTBo0CBkZWUhOztb7dSIiIiqHRYepMj169dhNpsxd+5cTJgwAWvWrFE7JaJi6XQ6DBo0CAcPHoSTkxN69eqFl156CTExMWqnRkREVG2w8CApZ8+exVNPPYVx48bBYDBg2bJl6NChg9ppESmm0WiwZ88edOjQAe+//z6EEByCRUREVAG4nC4V6dq1a/D398dPP/2El19+GREREWqnRFRqWq0WAwYMwIABAxAfH4++ffvikUcewZtvvglvb2+106MyZmdnh5o1a0rFJicnS7cbHx+vKAdZshti+vv7l8vxldwvHx8f6disrCzpWBcXF+lYV1dX6dibN2+WSw5KFlK5evWqVJzZbJZuMzg4WDpWyWIbiYmJ0rFKzldcXJx0bGBgoHTslStXpGOdnZ2lY5WskCg7x9XNzU26TS8vL+lYJedWyXvItWvXpGOLwh4Psio5ORlTp07FoEGDEBMTg0mTJrHooCrJz88PR48exX333YdVq1YhPT2dy/ASERGVAxYelI/RaMStW7dw5MgRNGzYEEePHuVmbFTl6XQ6jBw5Ei+99BJ+/vlntG3bFt9++y2X4SUiIipDLDwIwN2u123btqFt27bYu3cvevfujdGjR3OVKqp2unXrhp07d2L37t04fvy4ouEhREREVDjO8SCkpaUhPT0dO3fuxI4dOxSNpySqigICAvDVV18BgGX/j7lz56JWrVoqZ0ZERGS72ONRjWVkZGDKlCkYNmyY5UKLRQdRfvPmzcPw4cMxfPhw5OTkqJ0OERGRzWLhUY09//zzCA8Px9atW6HRaNROh6jS6tGjB/bu3YvMzEx06dIFv//+u9opERER2RwWHtXMzZs30b9/f5w6dQorVqzAs88+C62WTwOi4mg0Gnh4eGD+/PmYPHkyvvzyS7VTIiIisimc41GN7N+/H5MnT8acOXPQsmVLtdMhsklNmzbFTz/9hKSkJHz33XcwGo148skn2WtIRERUDH7VXQ2cO3cOX331FVq3bo2jR4+ia9euaqdEZNM0Gg18fHzQrl07bN++Hf369VO00VZxEtL1OB2djIR0fZm1SUREpDb2eFRhZrMZn376KTZs2IBFixYp2iWTiIpXo0YNLF++HPv27YOzszNOnz6NFi1alKrNbadiMHXzGdhrtTCazfiof3NEtgwqo4yJiIjUw8KjioqJiUFAQAD8/Pxw8OBBODo6qp0SUZX12GOPwWQyYfbs2XBwcMBnn30GT09Pxe0kpOsxdfMZZBvNyIYZADBl8xlE1PODrxtfwyVlMpmQlJQkFZueni7dbp06daRjb926JR1bHsP2rl+/Lh1bt25d6djs7GzpWKPRKB1rb28vHXvt2jXpWCUrNyrZx0rJincuLi5ScUo+t52cnKRjY2JipGMzMjKkYz08PKRjlcwtTUlJkY5V8vgqeY6dP39eOlb2+di6dWvpNv/++2/pWFdXV+nYmzdvSsd6e3tLxxaFQ62qGCEEli1bhj59+iA2NhYjRoxg0UFUAXQ6HdatW4cePXrgk08+KdGu5zeTsmBf4APZXqvFzSRuYkhERLaPPR5VzJYtW3D8+HEcOnSIQ6uIVDB48GAAwOrVq3HixAnMmjULzs7OUrcN9naG0WzO9zuj2Yxgb7nbExERVWbs8agidu3ahWnTpuHJJ5/E//73PxYdRCobNmwYGjZsiA4dOuDOnTtSt/F1c8RH/ZvDyV4Ld0c7ONlr8VH/5hxmRUREVQJ7PKqAd955B7/99htWrVrFJT2JKonEDAMe7j0E7To+Bj8/P/z44494/PHHi71dZMsgRNTzw82kLAR7O7PoICKiKoOFhw27ffs23Nzc0KlTJ0yfPl3RRDgiKj8FV6b6sI8dtq1ejW+++QYLFiwoduiVr5sjCw4iIqpyONTKRh08eBDdunVDVFQUOnfuzKKDqJLIuzJVmj4H2UYz3tz+F+YtXIS2bdti9erVaqdIRESkCvZ42KDLly/j3Xffxffff4+gIK7vT1SZ5K5MlbscLnB3ZaqY5GyMGzcOADB9+nTcd999GDBggFppEhERVTj2eNiQpKQkvPbaawgLC8O+fftYdBBVQjIrU73yyitYu3YtXn755RItu0tERGSLWHjYiMuXL6Nr1654+OGHodPpFG2+Q0QVR2ZlKi8vL2zevBn9+/dHdnY2EhMTVcyYiIioYnColQ0wm834888/sWTJErRo0ULtdIioGNZWpkpI1+f7WaPR4JFHHsFvv/2G5557DuvWrUODBg3UTp2IiKjcsPCo5BYvXowzZ87gs88+UzsVIlIg78pUBVe5+qh/c0S2vDtUsnXr1li6dCkGDRqE3bt3o2bNmmqmXSUJIaDX66ViPT09pdvNzs6WjjWZTNKxsj3aWVnyO9q7u7tLx8bExEjHOjk5Scfm5ORIxxoMBulYc4GhjUVJS0uTjlXyXEhNTZWOlb1v5dUTquQc+Pv7S8dGR0dLx/r4+EjHOjrKr/B39epV6Vglz92GDRuWeQ5Kzq2S95rg4GDp2NjYWOlYO7uyKRk4XqcSmzZtGvbt24c5c+aonQoRlZC1Va6mbD6DhPR/L4RbtGiBw4cPw9PTE1u3blUvWSIionLEwqMSSk9PR3x8PJ566imsXbu22DX/iajyyl3lKi97rRY3k/J/W+3m5gYhBNavX49XX31V0TfkREREtoCFRyVz8+ZNdOnSBSdOnMD999/PnciJbJzMKle5nJ2dsXbtWri6uuLHH3+sqBSJiIgqBAuPSsRgMKB///7473//i+7du6udDhGVAZlVrvLSarV477330L17d7z22mtc8YqIiKoMTi6vJE6ePInatWvjp59+gqurq9rpEFEZsrbKVXE0Gg0effRRdOvWDd9++62iCYNERESVEXs8KoG9e/di/PjxyMzMZNFBVEX5ujmiRYiXVNGRq2fPnpg/fz4OHz5cjpkRERFVDBYeKouPj8eMGTOwe/duhIaGqp0OUZWTkK7H6ejkfKtI2ZKHH34YQ4YMwUsvvYTTp0+rnQ4REVGJsfBQ0datWyGEwP79+1GjRg210yGqcradikHEnJ/w9OLjiJjzE747Jb8/QWXz0ksvYdSoUfjll1/UToWIiKhEWHioZNGiRfjyyy/h4uIivVkUEcmT2T/DltSrVw/fffcdrl+/DiGE2ukQEREpxiteFdy4cQM//PADtm3bxjkdROVEdv8MWxISEoJBgwbh5ZdfxsGDB9VOh4iISBGualXBvv32W7Rv3x6bNm3iHh1EpZSQri90pSgl+2fYmjfeeAO9evXCZ599hoiICLXTqfS0Wi3c3NykYtPS0qTbVfIeHhAQIB2bk5NTpnEA4OnpKR3r5OQkHavkfNWqVUs6Vq+X75lUku+1a9fKJQdzgfeaomRlyX35ER4eLt1mdna2dKyPj490rNFoLJd2lYz02Ldvn3RsdHS0dGxMjPzQWyXPXdnHTck5kH3/AoC4uDjpWAcHB+nYpKQk6diizhd7PCrQ2rVrsXDhQri6urLoICql4uZv+Lo5YmCr/EvQDmwVrGhVqco6MT0gIADfffcdbt68qXYqRERE0lh4VJDbt29jxYoV2Lp1K1xcXNROh8imyczfSEjXY8OJ/BfmG07clC4iKvvE9KCgIAwaNAgvvPACfv/9d7XTISIiKhYLjwqwZ88eAMDu3bsVdZcRkXUy8zcKizkXm1JsL4YtTUz/z3/+g9GjR+Ps2bNqp0JERFQkFh7lbNeuXZg+fTocHBw4vIqojMjM37AWk51jwriVJ4rtxbClielhYWHYsGEDzp07p3YqRERERWLhUY6Sk5Mxa9YsbN++Hd7e3mqnQ1Rl+Lo54qP+zeFkr4W7ox2c7LX4qH9z+Lo5WuZlAMgX42inhRAC+hxRbC+GtaLFYKq8E9MbNGiAwYMHY+LEibh+/bra6RAREVnFVa3KyeXLl+Hu7o4DBw5wnw6ichDZMggR9fzyrWq17VQMpm4+A3utFkazGR/1b46fp3bGzaQspGQZMXHN70jT/7sSUG4vRsEJ57mFzeSNp2E03d0zw2Q24+eoeES2DKrQ+6nEiBEjMGDAAPz444/8soOIiCodXhGXg1u3bmHgwIGIj49n0UFUjnzdHNEixMvS02FtXkZShgEAUMvTSdHyuhH1/KDNMzoyx4xKO88jV5s2bfD222/j8OHDaqdCRER0D/Z4lDEhBIYMGYJ58+ahWbNmaqdDVG3kzsvIxr/FhTAL9Pz8CBx1d3tABrYKxoYTN/P1iFhbXjchXY/9F+/ATquFHibL7wvrIalMIiMjodfrMXPmTLz++uv88oOIiCoNFh5lKCcnB8nJydi0aRN8fX3VTofIJhW1KWBRrM3L0JsEAAFDzt3fbzhxEzteaI8Mg6nQ9nOHa9lpNcgwmPL9TekGhCW9L6Xl6OiI1NRUvPHGG5gzZ06FHZeIiKgoLDzKiBACEyZMQMuWLTFhwgS10yGySdbmaMjOqcidlzHl/2+vzzFBq9Ug2/hvMWKv1SLDYEKLEC+rbeQdrpWXq4MOJiEK7SGRvS8F56SUp5kzZ2LUqFE4d+4cmjZtWq7HquxMJhOSk5OlYmvXri3drpKdfJXs8C27s7VOp5NuUwghHatkF2zZXAEgMTFROrZhw4bSsVeuXJGO9fLyko51dXWVjlXy+Hp4eEjFXb16VbrNunXrSsfeunVLOvbGjRvlksOZM2ekY5U8d+3s5C9rlXxBnJqaKh177do1qTglu4ZHRERIx3p6ekrHKhEfH18m7bDwKCMzZ86EnZ0dnn/+ebVTIbJJeS/6c4dLTdl8BhH1/Iq9SM/tWYio52eZTO7qoEPvBUfyxRXXY2FtuJarow7v9WmKRxv5SxcL1u7L5I2nodUADjqd4qKqJLRaLVasWIGUlBQcPHgQHTt2LLdjERERyeDg3zIghEDPnj3x2Wefca8OohIq6d4ZBXcY/zkqHi1CvFCvpnuhS+7myl16N3fCeLC3Mwym/MOrTGahqOgo7L4YTXJL+Zal3Pej//znP/jzzz/L9VhERETFYY9HKV24cAHvvPMONm7cqHYqRDZNZlPAgorrJbG25G4ua0OhBABznl59Oy0UDa8q6r4UJDtRvbTzRLy8vLB69WqMGDECR48ehb29veI2iIiIygILj1JISUnB8OHDsXz5crVTIbJ5BedoFLXqVC5rQ6MKXtD7ujne04a1guW1TWcACMu+HQCg02oRUc+v1PfFYDLDZDYjJ08tIjNRvTRzXvJq3Lgxdu/ejezsbOh0Oq50RUREqmDhUQqXL1/Gm2++yWVziVDyb+bz3s5aD0VR7ZaklwSwXrDotBpAaIA8y+c66P4d6qX0vhW8Lz9HxSsqqkoz58UaX19fzJs3D8nJyXj//fcV356IiKi0WHiU0FdffYU+ffqgVatWaqdCpLqSfjNf2O1yL6yLa9fXzRFv92qC97afg71OK73ylLWCxWS+u/RuXkazGX/GpGDQomNS961gkZS3t6WoYV/WyPTmKDVp0iRERkZi27Zt6Nu3b4naICIiKin2t5fAjh078O2336JmzZpqp0KkusJ2DC9u4nRxt5Npd9upGMz4/jwc7LQwmgXe7t1EquDJHQqVd+L5xwOa4+MBLfL97u3eTTDj+/NS963gJPfvTsVYPW7uTuvFMeaYkJ1Tun1ECtLpdFi9ejWcnUveBhERUUmxx0Mhg8GA//73v9i0aZOiNdSJqqqSfjNf3O2K+3tCuh5TNp2BPs/EiRk7zqN70wCpC/vCeiDy/k72vpX1sKh3tp7Fyl/+XT/fXqeBTqsp0UT3gry9vdGlSxeMHDkSn3/+ufSeAkRERKXFHg8FDAYDYmJisG/fPu5MTvT/lM6zyF3C1tVBV+Ttimt3zfEb+YoOQG753bys9UDk/Z3sfbO2fK5Oo8H+i3cUL5kbdTstX9EB3F2Kd/Xoh8ps3w+tVovHH38cL7zwQpm0R0REJIOFhwJvv/02tm7dyhVhiPKwNmwp7zfzeffKyDscqfeCIxjYKrjQ2xXVbkK6Hgv3X74nF4OpdEORciWk63HoUhzOxabgP10awEGngauDzupeIID1IinDYMK7288VOuyqMKeik63+/lpCpuL7UZRhw4bBzc0N169fL9N2iYiICsOhVpL27duH06dPY9asWWqnQlTpFDZsKe/kcIPJBLO4++197nCkDSduYscL7ZFhMFmdcF1YuzeTsuCg00Gfk5Mv/oVH65V6KNK2UzH4zzenkGdVXTj+/xyS6X2szyHJu3yuTqNBhuHu3Ix0/d3/Khl21TLES9HvS+OLL77A1atXcf36dYSGhpZ5+5WFg4MDatWqJRWbmSlf4Dk5OSnKQZZsrrdv35ZuU0mu8fHx0rH16tWTjr106ZJ0bFaWfM9leHi4dGxiYmK5xCYlJUnHyp4zb29v6TaVPG89PT2lY++77z7p2KioKOlYFxcX6Vglz93o6GjpWC8vL+nYjIwM6djIyEipOCWv38qw/1JYWFiZtMOv7iUFBgZi6dKl7O0gKkTBYUsFJ4frc/LvkQHcHRqVYTAVOeHa2nAoaz0MjnYaDG1T22obBXcoz/v7Q5ficOjS3SFRCel6TN6Qv+gAAH2OGYYcM2bsOF/o0KnIlkH4eWpnvBfZFG6O+ed/KRkCVq+mO0a0y38/RrSrjXo13aVur9StW7cwYsQI5BQo4oiIiMoaezyKIYTA+PHjMXPmTNSoUUPtdIhshrWJ2QWVdJUm2c0GE9L1WHP8Bhbuj4KDLv9yuNtOxWDyhlOWTf3sdRqMbV8XOUVsOF5wcnvBnhhfN0c82sgfb237s1T38/2+92FE2zo4FZ2MliFe5VZ0AEC7du3QpUsXfPjhh5g+fXq5HYeIiIiFRzEWLVoEe3t7Fh1EClnrlbDT3t0NPG8RUNKhUcXti7HtVAymbDoNfc7d7ovciehTNp9Bk0APvLbxVP6dxE0Ci49cLfKYuQVEUfuLlGQHdmvq1XQv14Ijr2nTpiEqKgpCCGg0mgo5JhERVT8sPIpgMpmwf/9+LF26VO1UiGxO7gX4a5tOQ6fRwiTM+HhAC0Wb6Mkcw1obucO8couOvOy1Wiz9+SoMpnv+BDutBmazuGeolaOdFhoN8FH/5gBQ7NK5SjcLVJtOp0O9evXQvXt3bNiwQdEYcCIiIlksPAphMpnw+++/Y/369WqnQmSz7l6/awANAHH3m/TCioWyVNQwL4PJhM2/W19lKscs8H7fZnh/xzlooUGOMOO1xxuhTZivpYA4HZ0stbdHRdzPsqTT6TBixAi89tprWLRokdrpEBFRFcTCoxALFizAnTt30Lp1a7VTIbJJ//Y6/HuBXppN9ZQI9naGwXRv0eFop8ULj9bDokN/37MHCHB3Tlf3ZgHo3iyg0N4KJfuWWJsHUpkNHToUx44dQ1paGtzdK2aYFxERVR8sPKy4du0aVq5ciZ9//lntVIhsVkl3NJdR3AX9kah4mPIUB3ZaYNJjDSyrXi08YH3ZR2d7O9xMyrpnFa2Cx5OZw1HUPJDKSqPRYMGCBTh27BhatmwJZ+fS74lCRESUi4WHFW5ubli+fLmitaOJKD+lO5oXpuBFf3EX9Lk9LXk7NHTau0vt5hYHd+eenLmn18NafoUdL3cOh6uDDhkGExLS9VaXEs4tvF7bdAZeLg5oWsuj0vd+nDx5Etu2bcPs2bPVToWIiKoQFh4FrFu3Dl5eXujRo4faqRDZtLJY3angRf/bvZtgxo7zRU7sttbT4qDT5etpyS0c1h6/gQX7L8NBp7Oan7UCIu/xjkTFWy1KrOWgzzHjuVUnYYao9L0fzz//PDp37ow//vgD999/v9rpEBFRFcHCI487d+5g9uzZOHTokNqpENmE4oY8lWZ1J2sX/e9+dw4w519ySphFvqIi2NsZWcb8m+FlGXPu6cnwdXPEi4/Vx9A2tQvNz1oBoYUG52JT0bSWh2W53oJFibXeHgDINCrfyVyNeSI6nQ7Lli2Dm5tbhRyPiIiqBxYeeSxatAgzZszgUpJEEmTnMJR0dSdrF/0Fdz4HAL1JwNUh/07hd/eiuDcWuPdCvqgleVOyjPdMUs80mjBu5Qk81sj/nuV6c+ewtAjxsvT2aDUaZBZYu1d2roua80TCwsJw5MgRrF27Fi+//HKFHLM8CWH9+VCQt7e3dJt6vfVd7K1JS0uTjr1586ZUXK1ataTbVDJ0ODw8XDr2n3/+kY5VMmcoOTlZOvbWrVvSsVqtVjrWx8dHOrY8yD5nASAxMVE6VsnjcPVq0Xsb5fXwww9Lx/7000/SsSkpKdKxtWvXlo61s5O/BFYS+8cff0jFubi4SLcZFCT/vq/kOR4dHS0dq+R5U9T7KAuP/3f79m1MmzZN0QNGVF0VNwSpLBTWa1CQk70WGXku7G8mZd3doND07+9yzMDa4zdQ29dF6kI+7wW/yWyGnRb55ozoc8zY+ee9FzsGk8nSs5Lb23MuNgXjVp7IV6TIzHWpiHNcnIceegivvPIK+vXrh9DQ0Ao5JhERVV28ygaQk5OD3r17K/rWhKg6y+2NyCv3W/yykjtHxMGu+LepvBfxf8ak5CtEci3YH4Upm04j22hGmj4H2UYzXt14GlG3838TnZCux5RNZyxxOWZAowGc7YvP44VH69+zl0eHBv74eEALONlr4e5oByd7rdRcl4o4x8VxcHDArFmzuIkqERGVCfZ4APjf//6Hnj17Kuq2JqrOymrFquJEtgxCk0AP9PzsMAwFhlk522thFsh3EZ+QrseM789bbUun1fz/Job/FiUGk0DPz49g7oB/ez7WHL9xz2pXdyefFz3swdFOa1mu19r9KDjXpbi5GxV1jovTpUsXPPbYY4iPj4efn1+FHpuIiKoW9njg7kTKKVOmqJ0Gkc3I7Y1Q+i1+SdSr6Y65T/3bY2Cv00CnATS4dx6HtV6CXDkmM3LM9/aEGHLMmLL5DBLS9UhI12Ph/sv33tYsML1Pk3z3d0S72vl+/nhA0fff183Rsj/ItlMxiJjzE55efBwRc37Cd6fu3Um9Is9xcW7cuIHIyEiYJYa+ERERFaba93hs2LABI0eOVDTJh4hKt2JVSY+VO1/CKKyvEFXYjuUAoAFghgY6jUDBOep5hzA56HTQ5+RfFeuFR+thWJtQdG+af0fzSY81UHz/lczdqMhzXJTQ0FBERERgxYoVeOaZZ1TJgYiIbF+17vG4cOECPv/8c24USFRCeb/Fr4hjeTo7wEGXfwWrvEWDtR3LdZq7/683CRhNAjqtBg66/G99uUOYrA1vcrTTWIZQFby/Jbn/SuduVOQ5Lspbb72FrKyKm19CRERVT7UuPF599VXMnTuXK1kR2QhrhYHBdLdosLZjuQaAc4Gldh3tdOjS2D/f7wa2CrYsq1tweNPHA1rkm0NyOjoZCenyy6jK3Ac15m4o5enpiZEjR2Lbtm1qp0JERDaqWg+1mjt3Lho3bqx2GkSUR1GTrnMLg8kbT1v29DCZzfg5Kh6hvq737lhup0NWgRWuMg052HfxTr7fbThxE5MeawBfN8dChzeV1Z4aZbGju1qcnJwwc+ZMNG/eHHXr1lU7HSIisjHVsvAwm80YPXo0Fi9erHYqRJSHzMV9RD0/aDX//pxjBl7deBprx7aBwZS/yMgxm6HVamDKM6mjsM0F827oV3BTwbLeU6OyzN1QSqfT4f3338d7772H5cuXq50OERHZmGpZeGzduhWurq6KdqIkovJl7eL+tU33Xtzf3SAw/wRwg0lg8NfHYc6z06+d9u6+GosO/Q2j6d9YBzvtPTuJZxvN9+x+npe1XdRldx8vTEl3dFfb448/Dl9fX7XTICIiG1Qtr7y//vprfP3112qnQUR5WLu41+eYsfb4Dbz4WH3L7wrb0TynwD4bOq0WPZoFYOGBqHviHLSAIU8TDjoNjkTFIzYlC01red5TEJRmXkZx+3XYGo1Gg7CwMEyfPh3vvfee2ulIMZvN0hPjlWwkGxQkP9TO09NTOjYxMVEqTkmuOl3hhXVB8fHx0rFKzoHs/QKgaM+YnAKr0BXF2Vl+LlV0dLR0rJKVMcvjS8/g4GDp2JSUFOnYhx56SDo2OztbOtZoNErH3u2llpOWllZ80P9T8ppQ8hy7//77peKSkpKk26xRo4Z07PXr16VjlbwefHx8pGOLUu1mVRuNRmzfvl3Ri5SIyl9hS+F+tu8STlxNsEzqtuxoriv6w8hBp0WGwXTPZPHpfZpAW2BVK4NJ4N3t5zFi6W9oO2sfvjsVk28ieUn31JDZr8MWeXt74/Dhw7hw4YLaqRARkQ2pVj0eJpMJnTp1wo8//shhVkSVjK+bI154tB7+u+dSvt8bzcCAr36Bo04DjVZjmffRJNADPT8/AkOO9X07cnskWoR43TOfwt3RDlM2n4FOq0GGPv+wK6NJ4JVvTsFOp4WDLv9cEyXzMsp6XkhlotFoMH36dHz88cdYunSp2ukQEZGNqFY9Hhs2bEC7du3g6uqqdipEZMXQNrXhaGe9J0NvEsg2/rvLeL2a7pg7oHm+Hc3ttLDaI1FwL4zIlkH4eWpnvNenKZzt7n0bNIm7w7zS9Dn5jqlkTw2l+3XYmo4dO+Lzzz+HEPdO1CciIrKmWn3tf+LECUydOlXtNIioEL5ujvh4QAu8uvE0DAW3F/9/eSd1F+yFACDdI+Hr5ohHG/kXutN5QUonktvqfh1KxMXF4a233sLq1avVToWIiGxAtenxuHHjBubMmQN/f//ig4lINZEtg7DzpUfgYKUnArj34j1vL4RMj0TBTQC12uInLha36pU1JZ0XYkvq1KmDhIQEnDlzRu1UiIjIBlSLHg8hBJ566ils3boVgYGBaqdDRMXIHUY1ZfPdC9psoznfHI+SXrwX3CdkYqd6cLLT5Vtu1xpHnQYZBZbglWGr+3UoMXXqVOzevRvNmzdXOxUiIqrkqkXhsX//fjRp0oRFB5ENyXvR7uqgQ4bBpPjiPe9StgDumey9YH8UrG0mWJBGq5EeIlVw+Vxb3a9DVqdOnfDII48gMzNT0ZKiRERU/VSLwiM5ORmTJ09WOw0iUkj2or3gxX5Cuh5rjt/Awv1RlpWpJnaqd88+IQ46LcZ3CMPCA1EQZgF9gXklSntZZHZer4o2b96Ms2fPYsaMGWqnQkRElViVLzyio6PRsmVLhIWFqZ0KEf2/stxUr+DF/sBWwfjmt2joc+4WEfqc3N6NywDyz+cwms0Y2qY2hrapbelZiU3JAqBBLU8n6V6WhHQ9zsWmYMqm09DniCq3fG5xnnjiCXz44Yd444032OtBRESFqvKFx8yZMxEZGcnCg6iSKMteAWt7Zaw8dsNqrINOZ+ndyHvsvEvuAnfnlxR1vIIFU+790Wo0lmInV94VuKoyBwcHPPfcc7h48SIeeOABtdMhIqJKqkoXHvHx8fjtt9+wcOFCtVMhIpTdpnq5BUBKluGe4VOFKdi7obS3xVrBFFHPz3J/CjtmVVo+tyjPP/88rl27BrPZDK22ci2YaDKZkJqaKhWrZC6gko1oU1JSpGMbN24sFffXX39Jt5mUlCQdW7duXenYO3fuSMd6e3tLxyYnJ0vHKullM5nkF4kwm+WW2gag6DkvG2swGKTbTE9Pl47V6/XSsUrOwfXr16Vjw8PDpWN/+eUX6dgOHTpIx3733XfSsUpWRL1xw/qXXwUped7KtgkA9erVk469cuWKdKyfn590bFGqdOGRmZmJOXPmVLoPQaLqKndTvbyFgtJegbwFgMFkglli/zpHu3s3FCxMwQnpuUOwrBVMi4Y/aLXwcbHXwQxR5ZbPLc7HH3+Mnj17olevXmqnQkRElVCVLTxycnLw66+/YsCAAWqnQkT/r7Sb6lnrMdFpAAedBvZ2WpjMAgNbBWPDiZuWwuSFR+tjaJvaiieHZxlzoNFo4GSng95khkbcO4wK0NxzfxzttPjf8AfRtJZHtSo6AGDSpEl44YUXWHgQEZFVVbbw2LVrF44ePcrCg6gSyd1Ub0qBIUuyF+jWekxMAnDQamDMMWN6n6YY1jYUkx5roHg4lbWiBhCF7vFhNJvRtJaH1fvToUENqWNWNQ0aNMAjjzyCnJwcRcOQiIioeqiynwxLlizBBx98oHYaRFRAaTbVs9ZjAgBZ/z/HYsb359G9WUCJ9s6wVtTk5WSvhdks4Giny1cwVYdNApWYOnUqLly4gPvuu0/tVIiIqJKpsoXHqFGj0KxZM7XTICIrSrqpXt4eEy00yDTmnyhamlWkCitq8tr50iNWl9it6psEKmEymfD000/j999/h06nUzsdIiKqRKrkrOvdu3fjoYceUjsNIioHkS2D8PPUzvjf8AfhaJf/Law0q0jlFjVO9lq4O9rBTgvY6zRwd7SDo50WEzvVg7erA1qEeLHIKIKzszMefvhh7Nu3T+1UiIiokqlyhYcQAm+++SZcXV3VToWIyomvmyM6NKiBjwf8Wyg42WtLvYpUblGzemwbHJ/WBb+88RjGdQgDILDo0N+ImPMTvjsVU3Z3pIqaMGECcnKsz40hIqLqq8oNtTp27BiaNm0KT09PtVMhonJWHvMr8g6bSkjX44sDUdDnCOj//0K6uuxGXhr33XcftFotkpOT4eXlpXY6RERUSVS5Ho9atWrhzTffVDsNIqogvm6O5Tb8KXfCeV6580ioaHv37sWqVavUToOIiCqRKlV4ZGZm4sCBA2jYsKHaqRBRFVDafUeqs2HDhmHt2rVqp0FERJVIlRpq9cMPP+DSpUtqp0FEVURp9x2pzvz8/PD000/DaDTC3t5e1Vx0Oh08PDykYpXMD7x165Z0bHZ2tnRsZmamVJybm5t0mwEBAdKxV65ckY4tr/Ol1+ulY11cXKRjExISpGOVnF8lj6/JZCo+CEBUVJR0m0oEBgZKx965c0c6VsnjoGTFu5o1a0rH3rhxQzq2a9eu0rFK5qyFhIRIxWk0Guk2r127Jh2r5DkeHh4uHWswGKRji1KlCo9NmzZh8uTJaqdBRFUI9+kouREjRuD8+fNo0aKF2qkQEVElUKWGWo0YMQL333+/2mkQURVTnvNIqjKDwYAJEyaonQYREVUSVabwOHHiBGrWrKmo64qIiMqPr68vXF1dFQ1/ICKiqqvKFB4LFixQNMaSiAi4u2Tu6ehkJKTLjyknea+88gpSU1PVToOIiCqBKjHHw2Aw4I8//uBu5USkyLZTMZhaYOJ4ZMsgtdOqUnr06IETJ06onQYREVUCVaLHw2g0Yt68edBqq8TdIaIKkJCux9TNZ5BtNCNNn4NsoxlTNp9hz0c5mDJlCmJjY9VOg4iIVFYlrtT37NmDNm3aqJ0GEdkQbg5Ycfr164etW7eqnQYREanM5gsPIQSmT58OJycntVMhIhvCzQErTp8+fRTtiUBERFWTzRcely9fRlhYGOzsqsR0FSKqILmbAzrZa+HuaAcney03BywnderUQfv27WE0GtVOhYiIVGTzV+v29vbcNJCISoSbA1acOXPmYPjw4Wjfvr3aqRARkUpsvvCIiopC586d1U6DiGyUr5sjC44K0LVrV+zZs0eVwsPOzg4+Pj5SsRkZGdLturu7S8e6uLhIx+r1cgsc+Pn5Sbd56dIl6VhfX1/pWE9PT+lYJftsXb16VTpWyT4xSkZHBAQESMemp6dLxyp5jpUHk8kkHevl5SUdm5ycLB1bo0YN6di0tDTp2Dp16kjHhoeHS8dmZmZKx8qes5SUFOk2leR67do16VidTicdq+QcFPW+YNNDrYxGI1599VWuZkVEVMl17tyZG7wSEVVzNn3F/uuvv6JNmzb8MCMiquR8fHzw6quvSn+bT0REVY9NFx4ODg4YOXKk2mkQEZGE2bNnY9euXWqnQUREKrHpwkOr1SIiIkLtNIiISEKXLl2wZ88etdMgIiKV2GzhkZ2djeeee07tNIiISFK7du2QlcUNGomIqiubLTxOnTqF+++/X+00iIhIkqOjI5YsWQJzgY0biYioerDZwsNgMCAyMlLtNIiISIGpU6fi0KFDaqdBREQqsNnCo0mTJujVq5faaRARkQLNmzfH8ePH1U6DiIhUYLOFR9euXdldT0RkY9q0aYMLFy6onQYREanAJguPuLg4+Pj4KNpxkYiI1FevXj0sW7ZM7TSIiEgFdmonUBI3btxA9+7d1U6DiIgU0mg0mDRpEl577TUEBwdXyDFzcnKQlJQkFevl5SXdblRUlHRsQECAdGxycrJUnJOTk3Sbnp6e0rH29vbSsdnZ2dKxBoNBOrZGjRrSsUo2EXZxcZGOvXLlinSskueNrCZNmkjHKhkBkpOTIx0bExMjHVu7dm3p2NjYWOlYJc+b8PBw6di4uDjpWCWr8Tk4OEjFmUwm6TaVbLxav3596Vgl50DJa6coNll4PPDAA3jwwQfVToOIiErA29sbx48fr7DCg4iIKgebHGrVr18/3LlzR+00iIioBFq3bo0TJ06onQYREVUwm+zxuH79uqJuWCIiqjy6dOmCTp06qZ0GERFVMJvr8cjOzoaHh4eiMZ1ERFR5ODo64v3331c7DSIiqmA2V3g4OTnhwIEDaqdBRESl8NNPPymaNEpERLbP5gqP7du3Y/PmzWqnQUREpVC/fn1cvnxZ7TSIiKgC2Vzhcfz4cTg6OqqdBhERlcLbb7+NoKAgtdMgIqIKZHOFx4ULFxStbU1ERJWPi4sLTp48qXYaRERUgWyu8Jg3bx7q1KmjdhpERFQK6enpWLJkidppEBFRBbKpwkMIgQ0bNkCn06mdChERlUL9+vUV7fxNRES2z6b28TAajThy5Ahee+01tVMhIqJScHBwwIQJEyrkWEII6RW0lEx4d3Jyko5NTU2Vjq1bt65U3KVLl6Tb9PHxkY7NycmRjrWzk7+MMBqN0rEJCQnSsS4uLtKxycnJ5dKuXq+Xji2P7QDMZrN0bHp6unRsdna2dGxmZqZ0rJLngpLV75KSkqRj09LSpGODg4OlY1NSUqTitFr57/6VvB6UPL5ubm7lkkNgYGChf7OpHg+j0cjJiEREVUTz5s25pC4RUTViU4WHg4MDxo4dq3YaRERUBmbPno3r16+rnQYREVUQmyo8cnJy4Ofnp3YaRERUBoKCghATE6N2GkREVEFsqvBISEjghlNERFVE+/btuS8TEVE1YnOTyznHg4ioaujXr5+iSblERGTbbKrwcHV1VbSyABERVV4///wzNm7cqHYaRERUQWxqqJWXl5eipb+IiKjy4hwPIqLqxaYKD242RURUdQQGBsJkMqmdBhERVRCbKjzKY9MdIiJSh7OzM7Zu3ap2GkREVEFsqvBQsosoERFVfgMHDlQ7BSIiqiA2Nbk8NDRU7RSIiKgMXblypUJ6s81ms1Sckr2ikpOTpWPt7e2lY1NSUqTi3N3dpdvMysqSjs3IyJCOdXZ2lo7NzMyUjlVy39LS0qRja9WqJR2bnZ0tHevr6ysde/HiRam4sLAw6TZv3LghHaskVwcHB+lYJV8OK5mvq6TdxMRE6Vg7O/lLYNn3DwDw9/eXivv777+l2/T09JSOVbJSoNFolI4tq330bKrHQ8kLi4iIiIiIKg+bKjyIiKhq2b59u9opEBFRBbGpwkOn06mdAhERlSFOLiciqj5sqvBQMjaTiIgqv0OHDqmdAhERVRCbKjyUTCAjIqLKz8PDQ+0UiIiogthU4WEwGNROgYiIytDYsWPVToGIiCqIqoXH7t270bBhQ9SrVw+zZ88uNp4bCBIRVS1arU19/0VERKWg2ju+yWTCxIkTsWvXLpw/fx7r1q3D+fPni7wNu+SJiKqWtWvXqp0CERFVkGILj88//xxJSUllfuBff/0V9erVQ1hYGBwcHDB48GBs27atyNuYTKYyz4OIiNTD1QqJiKqPYguP27dvo3Xr1hg4cCB2794NIUSZHDgmJgYhISGWn4ODgxETE3NP3KJFi9CqVSu0atUKt27dKpNjExFR5dC2bVu1UyAiogqiERKVhBACP/74I5YtW4YTJ05g4MCBGDNmDMLDw0t84E2bNmH37t1YvHgxAGDVqlU4fvw4FixYUOhtwsLCFG0xT0RElVtSUhK6du2KEydOlNsxdDod3NzcpGLd3d2l27Wzs1OUg6zbt29LxQUHB0u3efPmTelYX19f6dj09HTpWCcnJ+lYJY+DkvmfsudWKSWPr6urq1SctS9jC+Pj4yMd6+XlJR2r1+ulY5U8F5RQsrCQkhzK6ov0gmQf38DAQOk2ExISpGNr1qwpHZuSkiIdq2Rl2YYNGxb6ni41x0Oj0SAgIAABAQGws7NDUlISBgwYgClTpkgnUVBQUBCio6MtP9+8eRNBQUFF3kbJmxYREVV+M2bMUDsFIiKqIMUWHvPnz8eDDz6IKVOmICIiAmfPnsWXX36JkydPYvPmzSU+cOvWrXH58mVcvXoVBoMB69evR2RkZJG3cXBwKPHxiIio8jGbzWqnQEREFaTYfuLExERs2bIFoaGh+X6v1WqxY8eOkh/Yzg4LFixAt27dYDKZMHr0aDRt2rTI2yQnJ5f4eEREVPn4+/urnQIREVWQYguP9957r9C/NW7cuFQH79mzJ3r27Ckdz2/GiIiqlmnTpmHLli1qp0FERBXApnZuUjKRj4iIKr9nn31W7RSIiKiC2FThoWTVBiIiqvyuXr2qdgpERFRBbKrwuHHjhtopEBFRGVKyRCMREdk2myo8uHM5EVHVsmvXLrVTICKiCmJThQcnlxMRVS0fffSR2ikQEVEFsanZ2qXZKZ2IiCqf3bt3Q6st3+/AhBDIzs6WilXyBZeSXngl+1DZ29tLxcXHx0u3WaNGDelYJTtmG41G6Vglj7OS++bi4lIuOXh7e0vHZmZmSsfK7kKtZGdrJbtwK9mtOjU1VTpWyS7nwcHB0rFJSUnSsXXr1pWOlX2dAcClS5ekY2VfE0oeMyXPBSWvHSU5BAQESMcWxaZ6PDjHg4io6hBCQKPRqJ0GERFVEJsqPNLT09VOgYiIyogQAp988onaaRARUQWxqcID4DwPIqKqIi4uju/pRETViE3N8QgLC1M7BSIiKiOnT5/Gvn371E6DiIgqiE31eOj1ekRHR6udBhERlYGYmBgEBQWpnQYREVUQmyo8MjIycObMGbXTICKiMlC/fn20b99e7TSIiKiC2NRQK3t7e0XL/BERUeUVGBjIHg8iomrEpno83N3d0bp1a7XTICKiMvDyyy8rWnOeiIhsm00VHg4ODlwBhYioirh161aZbUpFRESVn00VHmazGW+++abaaRARURm4//77YWdnUyN+iYioFGzqHd/Ozg5xcXFqp0FERKVkNpvx1VdfVcixdDodvLy8pGK9vb2l283OzpaONZlM0rGyPfsJCQnSbSrJNScnRzq2QYMG0rFZWVnSsQaDQTo2KSlJOlYJJUWxn5+fdKyrq6tU3N9//y3dpqOjo3RsYGCgdGxKSop0bHlteaDkcbh+/bp0rLOzs3SsRqORjjUajVJxSl5naWlp0rFKzpeS16SSHDw9PQv9m031eABAZGQkh1sREdm4X3/9FS+++KLaaRARUQWyucLj1VdfVfTNDRERVT4XLlxA/fr11U6DiIgqkM0VHl988QW2bdumdhpERFQKMTExaNKkidppEBFRBbKpOR4A0LhxY5w4cULtNIiIqBTeeusttVMgIqIKZnM9Hs2aNVM06YyIiCqfwYMHq50CERFVMJsrPMLCwjB79my10yAiohLKzs7GtWvX1E6DiIgqmM0VHgDQtWtX6eXKiIiocrl06ZKiZViJiKhqsMnCo0aNGrh06ZLaaRARUQk0btwYn3zyidppEBFRBbPJwqN169b4448/1E6DiIhKYOnSpUhPT1c7DSIiqmA2t6oVALz00kvQ6XRqp0FERCWwYsUKDB06VO00iIiogtlk4aHRaDBq1CgsX75c7VSIiEgBvV4Pg8EAd3f3CjumTqeDt7e3VKySYbxarfygATc3N+lY2TmMTk5O0m2aTCbpWFdXV+nYW7dulUsO9vb20rE1a9aUjr1z5450rJ2d/CWSko2N9Xq9VFzdunWl28zIyJCOjY+Pl44NCAiQjhVCSMcqmafr4+MjHavkNZGSkiIdGxwcLB0bFxcnFefs7CzdZnR0tHSskteOklViAwMDpWOLYpNDrbRaLS5evKjohUZERJXD119/rXYKRESkApssPADgwQcfxMmTJ9VOg4iIFDh69Kiib9SJiKjqsNnC47333sNDDz2kdhpERKTA4sWLFQ1LISKiqsNmCw97e3ssXLhQ7TSIiEiBc+fOoWnTpmqnQUREKrDZwsPd3R0rV65UNJmJiIjUI4TAtGnTuCohEVE1ZbOFh1arRVhYGC5fvqx2KkREJOHcuXMcIktEVI3ZbOEBALNmzYK/v7/aaRARkYT58+cjNjZW7TSIiEglNl141K1bFxs3blQ7DSIiKoYQAr/++it7PIiIqjGbLjwcHBywYMECRRvREBFRxTMYDHjhhRcUbcpGRERVi00XHhqNBg899BB+/fVXtVMhIqIiXL16FU899ZTaaRARkYps/qunSZMmwc3NTe00iIioCG+88QbmzJkDLy+vCj92Tk4O4uLipGLDw8Ol242KipKO9fT0lI6V7cV3dnaWbtPJyUk6Vsk8HCXzLFNTU6VjPTw8pGO1WvnvUO3t7aVj09LSpGP/+ecf6diGDRtKxRkMBuk2lTy+SkaJKImNj4+XjnV0dJSOTUhIkI5V0qOqJFbJ3kOysUqeM0py9fPzk45V8rxR8nwsik33eABA06ZN8csvv6idBhERFSInJwdXr15F/fr11U6FiIhUZPOFh0ajwfz585GSkqJ2KkREZEVSUhLGjx8PjUajdipERKQimy88AKBbt27YtWuX2mkQEZEVqampGD9+vNppEBGRyqpE4TFixAjUrl1b7TSIiKgAIQQGDBjA1QeJiKhqFB5hYWHIzMxERkaG2qkQEVEeZ86cQYMGDRRNhCYioqqpShQeALB//37s3r1b7TSIiCiPuLg4jBkzRu00iIioEqgyhUf//v2xadMmtdMgIqI8wsPD8fjjj6udBhERVQJVpvC4//770bVrV7XTICKi/3f+/HlMnjxZ7TSIiKiSqDKFh0ajwWOPPYbz58+rnQoREQHYtGkTBgwYoHYaRERUSVSZwgMAbt26hdmzZ6udBhER4e7Ggb1791Y7DSIiqiTk92C3AQ899BCeffZZZGRkwNXVVe10iIiqrYSEBEydOrVSvBebzWZkZWVJxSYkJEi3GxISoigHWenp6VJxHh4e0m1GRUVJx9asWVM6Nj4+XjrWyclJOjYuLk46VskGwkqej0ry9ff3l469fv26VFx2drZ0m3Xr1pWOTU1NlY7NzMyUjlVyvlxcXKRjExMTpWOVPA5K7puS5cCDg4Ol4tLS0qTbtLe3l45VIjY2VjpWr9dLxxb1OFSpHg+NRoMZM2YoejCJiKjsffDBB9i3b5/aaRARUSVSpQoPAOjTpw9+++03tdMgIqq2DAYD9u3bh549e6qdChERVSJVrvAAgIULF+Ly5ctqp0FEVC3dvHkTzz33HOzsqtRoXiIiKqUqWXiMHj0aS5cuVTsNIqJqyWg0YsKECWqnQURElUyVLDz69u2LBx54QO00iIiqnZs3b+LZZ59VOw0iIqqEqmTh4ejoiBYtWuCPP/5QOxUiomplxYoVGDlypNppEBFRJVQlCw/g7jJ0M2bMUDsNIqJqxc7ODk899ZTaaRARUSVUZQuP5s2bIy4uDtHR0WqnQkRULURFRWH8+PFwc3NTOxUiIqqEqmzhAQCffPIJdDqd2mkQEVULL7zwAm7duqV2GkREVElV6cKjVatW+OGHH6R3gSUiopL5888/odPp0LhxY7VTISKiSqrKL7KemJiIZcuW4cUXX1Q7FSKiKisrKwvTp09XOw2r7O3tUbNmTanYa9euSber1cp/d5eZmSkdazabpeL0er10m46OjtKxBoNBOtbf31869sqVK9Kx9vb20rF16tSRjlVyzpQ8Zkp6+kJDQ6XiLl68KN3mjRs3pGOVjARxdXWVjvX09JSOVZJvUFCQdOzNmzelY5U8d7OysqRjZd8XlDwXleSamJgoHRsSEiIdq+S9sShVuscDAMaOHYslS5bAZDKpnQoRUZV0+/ZtGAwGPPTQQ2qnQkRElViVLzw8PT2xfPlytdMgIqqyFi5ciKioKLXTICKiSq7KFx4AcN999+Gtt95SOw0ioionKysLW7duxeDBg9VOhYiIKrlqUXjodDpcuXIFx48fVzsVIqIqxWg0Yv78+YrmEBARUfVULQoPAJgyZQrmzJmjdhpERFWG0WjEihUr8Oijj6qdChER2YBqU3i0atUKixYtUjsNIqIqY+XKlYiLi1M7DSIishHVpvAAAI1Gg6efflrtNIiIbJ7BYMDnn3+OV155Re1UiIjIRlSrwsPX1xeZmZk4duyY2qkQEdk0e3t7bNmyBd7e3mqnQkRENqJaFR4A8O6772LVqlVqp0FEZLOys7MxZswY1K1bV+1UiIjIhlS7wqN58+ZYuHAh0tPT1U6FiMgmLV68GPXq1YNGo1E7FSIisiF2aieghmvXrmHcuHHYu3ev2qkQEdkUIQTWr1+PXbt2qZ2KtJycHCQkJJR5u+7u7tKxfn5+0rG3b9+WinNwcJBuMzMzUzrW09NTOjYpKUk6NjQ0VDrWbDZLxyq5bz4+PtKxWVlZ0rEuLi7SsbLnrE6dOtJtRkdHS8cqGR7p5eUlHXvx4kXp2JCQEOnY5ORk6Vgl58xoNErHurm5ScfevHlTKk7Jc9ze3l46Vslz/O+//5aO9fX1lY4tSrXr8QCAunXrwt/fH/v27VM7FSIim2I0GnHgwAFFF91ERERANS08AOCDDz7AuXPn1E6DiMhmxMfH49FHH4VOp1M7FSIiskHVtvAICwvDM888g19++UXtVIiIbML06dPx4osvcm4HERGVSLUtPHI9++yzSElJUTsNIqJKLScnB/b29hg0aJDaqRARkY2q1oWHu7s7Jk2ahA8++EDtVIiIKi0hBH7++Wd8+umn7O0gIqISq9aFBwCMGjUKPXv2VDsNIqJKa8eOHVi2bJnaaRARkY2r9oWHVqtFmzZtMG3aNLVTISKqdAwGA6ZPn46ZM2eqnQoREdm4al94AHfX346KiuK+HkREBZhMJsybNw+1atVSOxUiIrJxLDz+38cff4yZM2dCCKF2KkRElUJ0dDQWLFiATp06qZ0KERFVASw8/l9oaCh27dqFjIwMtVMhIlKdEAITJ07EAw88oHYqRERURdipnUBl4ujoiL59++Ljjz/Gfffdp3Y6RESqOXbsGGrUqIHHHntM7VRKzd7eHjVr1pSKTU9Pl27XxcVFOjY7O1s61t7eXiouLi5Ous369etLx6alpUnHJiQkSMfeuXNHOlbJJpVarfx3qHZ28pc9JpNJOjY5OVk6VjZfPz8/6TaVPBeVbCHg5OQkHVu7dm3pWL1eLx2r5Pmo5DFzdXWVjpV9/wCApKQkqbgGDRpIt6mEkteZs7OzdGxOTk5J0rkHezwK+Oijj/D8888revISEVUlaWlpaN26Nb766iu1UyEioiqEhUcBzZs3x6hRoxR9k0REVJW8+OKL2LNnj6Jvh4mIiIrDwsOKsWPH4syZM7h69araqRARVag9e/YgNTUVPXr0UDsVIiKqYlh4FMLFxQXPP/88V7kiomolMTERCxYs4A7lRERU5lh4FKJ9+/YIDw/H2rVr1U6FiKhCfPXVV+jRowf37CAionLBwqMIH330Efr27QuDwaB2KkRE5Wrnzp34/vvv4e7urnYqRERURbHwKIKrqyvS09Px2GOPsfggoipLr9dj+vTpWLJkCYdYERFRuWHhUYyAgABERkbinXfeUTsVIqIyZzabkZWVhUOHDqFGjRpqp0NERFUYCw8JkydPhru7O8xms9qpEBGVqc8++wyffPKJoo2kiIiISoKFhwStVos333wTy5cvV7RLKxFRZXb69GmsX78e06ZNUzsVIiKqBrg7lAK+vr4YP348Nm3axHHQRGTz0tPTsWzZMjg6OqqdSrnSaDRwcHCQig0NDZVuNyMjQ1EOspKTk6XiXF1dpdvUauW/Z3RycpKOrVOnjnRsWlqadKy3t7d07M2bN6Vj9Xp9ueTg6ekpHSv7WChZzl/2OQMAPj4+0rHp6enSsV5eXtKxSnpYleSgZGSKkufClStXpGPr1q0rFadko2oPDw/p2JycHOlYJcNry+q6lz0eCvTt2xc1a9bEtm3b1E6FiKhUZsyYgfr166Nx48Zqp0JERNUEezwU+uSTT2BnZ4d//vkHgYGBaqdDRKTYkiVL8Ndff3EyORERVSj2eCjk6OiIxMRE9OjRA//884/a6RARKZKZmYlvv/0WixYt4pBRIiKqUCw8SqBGjRr45JNPMGTIEO7vQUQ24/bt27h+/Tq2b98OFxcXtdMhIqJqhoVHCT366KN47733+I0hEdkEo9GIIUOG4ObNm3zfIiIiVbDwKIWOHTti1apVWLp0qdqpEBEV6a233kKPHj3QtWtXtVMhIqJqipPLS2nw4MHo3Lkz7rvvPrRu3VrtdIiI7pGdnY0XX3wRQUFBaqdCRETVGHs8SsnFxQXr1q3D/v371U6FiOgex48fR9++fREUFMQhVkREpCoWHmWgbt26mDJlCubNm4fU1FS10yEiAgBERUXh2Wefxddff82ig4iIVMfCowzVrl0bAwcO5EpXRFQpGI1GLF++HLVr11Y7FSIiIs7xKEsDBgxAdHQ01q9fjxEjRqidDhFVU5mZmRg2bBhWrVoFNzc3tdNRnV6vx+XLl8u8XWdnZ+lYf39/6VghhFRcQECAdJtms1k6NiUlRTo2JydHOrZWrVrSscnJydKxSs5DRkaGdGxiYqJ0rJLzIPtciI2NlW7T0dFROlZJuw4ODtKxdnbyl5TZ2dnSsUqW/lYSq2QvNiXnISsrSypOyXuCkuein5+fdKySnvD4+HjpWF9f30L/xsKjjL3yyiswmUz4/vvv0atXL7XTIaJqxmQyYdiwYejbty+LDiIiqlQ41KocaDQaLFu2DIsXL1Y7FSKqZmJjY/Hoo49i1KhRaqdCRESUDwuPcqDVarFq1SqsXr0aZ86cUTsdIqomFi5ciIyMDLz00ktqp0JERHQPFh7lxNnZGd9//z2aNm2K8+fPq50OEVVxX3/9NXbt2oXw8HC1UyEiIrKKhUc5cnV1RXJyMoYPH46jR4+qnQ4RVVEZGRk4evQoNm3aBHt7e7XTISIisoqFRznz9fXFtm3bMHHiRFy7dk3tdIioitmwYQOioqKwbNkyODk5qZ0OERFRoVh4VIDg4GDs3bsXISEhuHr1qtrpEFEVsXnzZnzxxRccXkVERDaBhUcF8fX1xe3bt9GvXz+cPXtW7XSIyMbp9Xps3LgR3333HZfNJSIim8DCowLVqlUL33zzDYYPH65o4xoiorx++OEH/Pnnn1i/fj08PDzUToeIiEgKNxCsYA0bNsTu3btRo0YNXL9+HaGhoWqnREQ25IcffsA777yDnTt3qp2KzbC3t5fe3VrJDtR37tyRjr1y5Yp0rOwO0EqG7hqNRulY2Z3TAcDT01M6Vq/XS8cmJSVJx6ampkrHKtnZOjg4WDr2xo0b0rFardx3viaTSbpNb29v6VidTlcu7Sp53ty6dUs6VsnjoGRneiWUvH5kX79KzpeS9yUlu6wr2UFeyWu9KOzxUEFAQABiY2PRt29f/P7772qnQ0Q2wmAwYMmSJfj+++/h6+urdjpERESKsPBQSUhICLZs2YIxY8ZwwjkRFWvVqlU4f/48NmzYAD8/P7XTISIiUoyFh4rCwsLw008/oXbt2uz5IKJCLViwAGvXrkWDBg3UToWIiKjEWHiozNvbG+np6XjppZewfv16tdMhokomJSUFf/31F7Zt26ZofDoREVFlw8KjEvD09MTu3buxfPly/PLLL2qnQ0SVgMlkwiuvvILExER8/vnniiYMEhERVUYsPCoJNzc3bN++Ha1bt8batWthNpvVTomIVJKVlYXBgwfDy8sLderUUTsdIiKiMsHCoxKxt7eHRqPB6dOnMXjwYGRmZqqdEhFVMJPJhPj4ePTp0wfTp0+HRqNROyUiIqIywcKjktFqtZgzZw66d++OdevWqZ0OEVWgU6dOoWPHjvD398eIESPUToeIiKhMcQPBSmr06NEAgLfffhv9+/dHy5Yt1U2IiMrV3r178frrr2PdunVwdHRUOx0iIqIyxx6PSm7kyJEYO3YsvvvuO7VTIaJyIITAlStX0KBBA+zZswf169dXOyUiIqJywR6PSq5evXrYs2cPtm/fDqPRCDs7O475JqoiDAYDJkyYAA8PD8ybN0/tdKosrVYrvRRxTEyMdLs6nU46tl69etKxWq3cd4JK5gEqWbAkPT1dOtbV1VU6Vsm5VcLDw0M6NjY2VjrW2dlZOjYgIEA61s5O7tIrKChIus2bN29Kx4aGhkrH6vV66djk5GTpWCX++ecf6ViTySQdq2RfpMuXL0vHyj7HGjZsKN1mamqqdGxKSop0bEhIiHSsksehqNcDezxsgLe3N0aMGIHVq1dj5MiRyMjIUDslIioDL730Epo2bYr//ve/aqdCRERU7tjjYUOeeeYZCCHQuXNn/PTTT4q+aSKiyuOnn36C2WzGZ599xv05iIio2mCPh40ZPXo0vv32W9jZ2WHnzp1qp0NECpjNZnzwwQf48MMP0bRpUxYdRERUrbDwsEG1atWC0WjEsmXL8MILLygag0lE6jAYDMjIyIC9vT1++OEHBAYGqp0SERFRhWLhYaPc3NywYcMGNGjQALt371Y7HSIqwi+//IKHH34YZrMZU6dOlZ5cSkREVJXw08+GaTQavPTSSwCAiRMnonv37ujTp4/KWRFRXtu2bcPHH3+MTZs2wdPTU+10iIiIVMMejyrivffew/Lly/Hiiy+qnQoR4e7yllu2bEHHjh2xb98+1KlTR+2UiIiIVMXCo4rw8/PDpk2bMGHCBNy5cweHDx9WOyWiakkIgTVr1qBPnz7w8fGBl5cXdyInIiICC48qRaPRoHHjxjAajXj//fcxZcoUTjwnqkCpqakQQuDGjRs4ePAgOnXqpHZKRERElQYLjyooKCgIP/zwA4KCgnDq1CkYDAa1UyKq8r7//nt06NABsbGxeOONNxTtpkxERFQdcHJ5FaXVajFp0iQAwLBhw9C0aVO89tprsLe3Vzkzoqpn06ZNWLNmDX788Uf4+/urnQ4VYDAYEB0dLRWbk5Mj3a63t3dJUyqSRqORiktMTJRuU0muSp7DsudVabvp6enSsSaTSTpWyQIPGRkZ0rFarfz3uElJSVJx4eHh0m0qce3aNelYJct+KxlSWrduXenYS5cuScc2aNBAOvbWrVvSsQ0bNpSOzc7OlopLTk6WbjMsLEw69vbt29KxSs5BaGiodGxR2ONRDSxfvhwmkwlPPfWU2qkQVRlCCGzevBmzZ8/GE088gS1btrDoICIiKgILj2rA3t4eb7/9Nr755htcuXIFEydOVFRpE1F+er0ekZGR+P777zF27FjY2dlJf0tNRERUXbHwqEYcHR0RFhaGiIgIdOzYET/99JPaKRHZFKPRiK+++gparRZz5szB0qVL4efnp3ZaRERENoGFRzWj0WgwdOhQHDhwAA0bNsTOnTsRFRWldlpEld6xY8cQERGB+Ph4CCHQpEkTtVMiIiKyKZxcXk15e3vD29sb0dHRGDZsGHr27ImpU6fCyclJ7dSIKpXbt2/DaDQiKSkJ69atK7cJn0RERFUdezyqubZt2+LIkSMIDg6GTqfDvn37FK0QQlRVZWZm4sMPP0T37t1x/fp19OzZk0UHERFRKbDwINjb22PMmDHQ6XT44YcfEBERgX379qmdFpEqzGYzrly5gqtXr8LV1RXHjx9HRESE2mkRERHZPBYeZKHVavHRRx9h3bp1uHbtGjIyMnD+/Hm10yKqMPv370dERAS++eYbNG3aFC+//DIcHBzUTouIiKhKYOFB96hbty7GjBmDuLg4PP/883juuecUbUhDZGv++ecfGI1GbN68GatXr8a0adPUTomIiKjKYeFBhapTpw4OHDiALl264OTJk7h8+bKiXS6JKruLFy9i2LBhePrpp2E2m7FgwQLO4yAiIionXNWKiqTRaDBgwAAAd4ehvPbaa3jkkUcwbdo01KhRQ+XsiErmwoULqFOnDr777juMGzcOnTp1UjslKkdarRZubm5SsUII6XaVrAJ4/fp16VitVu47QSULgTg7O0vH/v3339KxYWFh0rHp6enSsWlpaeWSQ0xMjHRsQECAdGxqaqp0bE5OTpm36e3tLR3r7+8vHfvPP/9IxwYGBkrHXrlyRTo2KChIOjYpKUk61mg0SscqIZuDl5eXdJuxsbHSsUreF5S8dsxms3RsUdjjQdIeffRRHD9+HG3btkV2djZ+/PFHRS8GIrVduHABgwcPxosvvoi4uDhMmTKFRQcREVEFYeFBiuh0OgwaNAghISHIzs5G37598eKLLyIjI0Pt1IgKdfbsWfz111+4ceMGJkyYgL1796J27dpqp0VERFStsPCgEouMjMTx48fRvXt3ODs7Y8aMGThx4oTaaRFZnD17Ft26dcPrr78OvV6Pbt26oUOHDmqnRUREVC1xjgeVilarRa9evQDcHYo1a9YsZGZmYufOnQDuzhEhqkiZmZlYuXIlnJ2d0blzZ3z66ado3Lix2mkRERFVe+zxoDLTvn17bN68GWvXroXJZEKHDh0wb948pKSkqJ0aVQNmsxnnzp1D27ZtkZSUhN69eyMkJIRFBxERUSXBwoPKnLe3N+zs7PD9999Dp9PhlVdegRACFy9eVDs1qmKEEDh48CCGDRuGqVOnolGjRjhx4gTeeOMN+Pr6qp0eERER5cGhVlRuPDw8MGnSJAB3lwV8/fXXERcXhwkTJmDYsGEqZ0e2LDY2FhcvXkTjxo2xYsUKTJw4Ee3atYNGo4FOp1M7PSIiIrKCPR5UITw8PLB161Zs3rwZgYGBuHPnDkaOHIlDhw4pWjefqrfcIVSDBw9GXFwcAgMDsXTpUjz88MOcT0RERFTJsceDKlRAQAACAgIghMD48eOxZMkSbNq0CfPmzUNsbCyXOKV8hBD4888/sXLlSiQmJmLx4sWYO3cuGjVqpHZqREREpBALD1KFRqNBREQEIiIiIIRAbGwsxowZg6ysLDz77LMYPny42imSSoQQOHfuHP766y88/vjjmDFjBoYMGYLevXtDo9Gw6CAiIrJRLDxIdRqNBkFBQdizZw/i4uJw7do1/PPPPxg4cCD69euHAQMGsCekihNCICkpCVqtFo899hjq1q2L4cOHw93dHRs2bFA7PbJxOp0Obm5uUrF2dvIfi0o2TjUYDNKxPj4+UnFxcXHSbV66dEk61t3dXTpWyaqFjo6O0rFhYWHSsSaTqVxiY2NjpWOdnZ2lY11dXaXilAxDNhqN0rHZ2dnSsUqGsF69elU6NjAwUDpWyeOg5LmrZD5gZmamdKzZbJaKU/Jc9Pb2lo5NS0uTjlVyv5Qo6jnOOR5UqdSoUQOtW7dGYGAgNm/eDFdXV6xZswYZGRmYN28e/vrrL84JqUJSU1PxzjvvoFWrVpg1axa8vLxw+PBhbNq0CX379lU7PSIiIipD7PGgSsvf3x/PPvssgLtVuYeHB6ZNmwYPDw8sXboUO3fuRMeOHaW/yST1paenY+vWrdi9ezdq1KiB2bNno1mzZpgyZYrlcXRxcVE5SyIiIioPLDzIJri4uGDs2LEYO3YsgLtdxUeOHMH777+PevXqYc2aNbhy5QrCwsK4ulElkpOTg19//RW7d++Gj48PBg0ahBs3bmDy5Mlo0aIFtFotBg4cqHaaREREVAFYeJBNcnJywqxZswDc/RbdbDbjnXfewdmzZ9GiRQusXLkS165dQ0hIiKIx21Q62dnZ+O2333DkyBE0bNgQoaGhWLZsGbp3744uXbrA09MT06ZNUztNIiIiUgGvyMjm5Q7RWbNmDcxmM27cuAGNRoPPP/8c+/fvR40aNbB582bcvn0bgYGB0hP7qHiJiYn4+eefceTIEXTr1g0GgwHbt29H+/bt0a5dOwQGBuLrr79WO00iIiKqBFh4UJWi1WpRp04dAMC8efMAALdu3YKbmxuWLFmC9evXw2w2Y82aNUhNTUV6ejpatGgBLy8v9ZK2IceOHcPBgwdx+vRpTJ06FefPn8e5c+fQqVMntGrVCh4eHujevbvaaRIREVElpErhsXHjRrz77ru4cOECfv31V7Rq1UqNNKiaCAgIAAC8/PLLePnll5GdnQ2dToeff/4ZW7ZswTvvvIPXXnsNXl5e2LNnD1q2bIk2bdqgVq1aKmeujqysLMTGxiI8PBwzZ87EwYMH8c8//+DQoUOIiYlBaGgoIiMj0aBBA7Rs2VLtdImIiMhGqFJ4NGvWDFu2bLGsWERUkZycnAAAnTp1QqdOnSy/j4uLQ3x8PE6dOoWcnBw0bdoUw4YNg7+/P7p27YpXX30VO3bsQN26dREWFqZo3fbKxmQyITU1FXv37kVUVBQ8PT0xduxYtGnTBk5OTrjvvvuwaNEidO3aFaNHj7YUbwMGDFA5cyIiIrJVqhQejRs3VuOwREWqUaMGnnjiCTzxxBOW3/3++++Ii4tDSkoKTCYTTpw4gfXr1yM+Ph67d+/GyJEjcefOHQQEBGDWrFmIiorCzZs3ERAQgPvuuw8eHh4AAHt7+3LPX6/XIyUlBbdv30aTJk1w6NAhnDx5Erdu3cKoUaNw4cIFzJ49G0IIjB8/Hj169MDly5cRHh6O++67Dw4ODvjjjz/ytdm6detyz5uIiIiqB87xICqCRqOBv78//P39AQDvvvtuvr8vXboU8fHxuHXrFry8vKDRaHDjxg38+uuvcHBwQGZmJt566y0YjUb069cPY8eORa9evaDT6dC4cWOsWLECkyZNsuza/fnnn+Obb77B8ePHYTabIYTAmDFjoNFoMH/+fKSnp6Nz584YNmwYevbsCQCoU6cOtmzZgsGDByMrKws1a9bEggULYDAYUKtWLTzwwAMICgpCw4YN0b9/f2i1/+4byhWmiIiIqKJoRDltA92lSxfcunXrnt9/+OGHlh2JO3XqhLlz5xY5x2PRokVYtGgRAODPP/9Es2bNyiNdokolLi4ONWrUUDsNogpx8eJFpKenl1v7fn5+lkUniIiofF27dg3x8fFW/1ZuhYcMmcIjr1atWuHEiRPlnBWR+vhcp+qEz3cioupBW3wIERERERFR6ahSeHz77bcIDg7GsWPH0KtXL3Tr1k2NNIiIiIiIqIKoMrm8X79+6Nevn+LbjR8/vhyyIap8+Fyn6oTPdyKi6kHVOR5ERERERFQ9cI4HERERERGVO5srPDZu3IimTZtCq9VyFRSqknbv3o2GDRuiXr16mD17ttrpEJWb0aNHw9/fn8ukExFVEzZXeDRr1gxbtmxBhw4d1E6FqMyZTCZMnDgRu3btwvnz57Fu3TqcP39e7bSIysWoUaOwe/dutdMgIqIKYnOFR+PGjdGwYUO10yAqF7/++ivq1auHsLAwODg4YPDgwdi2bZvaaRGViw4dOsDHx0ftNIiIqILYXOFBVJXFxMQgJCTE8nNwcDBiYmJUzIiIiIiobKiynG5xunTpglu3bt3z+w8//BB9+/ZVISMiIiIiIiqNSll47N27V+0UiFQRFBSE6Ohoy883b95EUFCQihkRERERlQ0OtSKqRFq3bo3Lly/j6tWrMBgMWL9+PSIjI9VOi4iIiKjUbK7w+PbbbxEcHIxjx46hV69e6Natm9opEZUZOzs7LFiwAN26dUPjxo0xcOBANG3aVO20iMrFkCFD0K5dO/z1118IDg7GkiVL1E6JiIjKEXcuJyIiIiKicmdzPR5ERERERGR7WHgQEREREVG5Y+FBRERERETljoUHERERERGVOxYeRERERERU7lh4EBERERFRuWPhQURERERE5Y6FB1El8ttvv6F58+bIzs5GRkYGmjZtij///FPttIiIiIhKjRsIElUyb731FrKzs5GVlYXg4GC88cYbaqdEREREVGosPIgqGYPBgNatW8PJyQlHjx6FTqdTOyUiIiKiUuNQK6JKJiEhAenp6UhLS0N2drba6RARERGVCfZ4EFUykZGRGDx4MK5evYp//vkHCxYsUDslIiIiolKzUzsBIvrXypUrYW9vj6FDh8JkMuHhhx/GTz/9hM6dO6udGhEREVGpsMeDiIiIiIjKHed4EBERERFRuWPhQURERERE5Y6FBxERERERlTsWHkREREREVO5YeBARERERUblj4UFEREREROWOhQcREREREZU7Fh5ERERERFTu/g+kIRCPzmqu0AAAAABJRU5ErkJggg==\n", + "image/png": 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" ] }, "metadata": {}, @@ -201,7 +201,12 @@ "\n", "An inference procedure applied to the output data from this simulator model determines the posterior distribution of $r$ and $\\theta$ given an observation of $x$, which lives in a 1024 dimensional space (32 x 32 = 1024). To avoid working directly on these high-dimensional vectors, one can use a convolutional neural network (CNN) that takes the 32x32 images as input and encodes them into 8-dimensional feature vectors. This CNN is trained along with the neural density estimator of the inference procedure and serves as an automatic summary statistics extractor. \n", "\n", - "We define and instantiate the CNN as follows:" + "`sbi` provides pre-configured embedding networks of the following types: \n", + "- Fully-connected multi-layer perceptron \n", + "- Convolutional neural network (1D and 2D convolutions) \n", + "- Permutation-invariant neural network (for trial-based data, see [here](https://sbi-dev.github.io/sbi/tutorial/14_iid_data_and_permutation_invariant_embeddings/)) \n", + "\n", + "These networks can be instatiated and customized as follows (please see [here](https://github.com/sbi-dev/sbi/blob/main/sbi/neural_nets/embedding_nets.py) for all options on hyperparameters):" ] }, { @@ -209,6 +214,24 @@ "execution_count": 4, "metadata": {}, "outputs": [], + "source": [ + "from sbi.neural_nets.embedding_nets import FCEmbedding, CNNEmbedding, PermutationInvariantEmbedding\n", + "\n", + "embedding_net = CNNEmbedding(input_shape=(32, 32))" + ] + }, + { + "cell_type": "markdown", + "metadata": {}, + "source": [ + "Alternatively, you can define custom embedding networks and pass those to `sbi`. For example, you can define and instantiate the CNN as follows:\\" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "metadata": {}, + "outputs": [], "source": [ "class SummaryNet(nn.Module):\n", " def __init__(self):\n", @@ -242,7 +265,7 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": 12, "metadata": {}, "outputs": [], "source": [ @@ -257,7 +280,7 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": 13, "metadata": {}, "outputs": [], "source": [ @@ -272,13 +295,13 @@ }, { "cell_type": "code", - "execution_count": 7, + "execution_count": 14, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "502cc6aad02f44c9a625bc0d70c243f7", + "model_id": "ad3fe3b3c92e456e8836a6c22c3fef89", "version_major": 2, "version_minor": 0 }, @@ -297,14 +320,14 @@ }, { "cell_type": "code", - "execution_count": 8, + "execution_count": 15, "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - " Neural network successfully converged after 76 epochs." + " Neural network successfully converged after 176 epochs." ] } ], @@ -324,13 +347,13 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 16, "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "ab684cc574db46c0b491f434374b2a8e", + "model_id": "289c28e9e81746489591ab023e0f5cf2", "version_major": 2, "version_minor": 0 }, @@ -358,19 +381,17 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 17, "metadata": {}, "outputs": [ { "data": { - "image/png": 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\n", 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ACVj98mt5j0CJExsoAf/nsZeiYWdz3mNQwsQGSkRjk5vwkR+xASA5sQEgObEBIDmxASA5sQEgObEBIDmxASA5sQEgObEBIDmxASA5sQEgObEBIDmxgSK3YMapeY8AYgPFbkR1Zd4jgNgAkJ7YAJCc2ACQnNgAkJzYAJCc2ACQnNgAkJzYAJCc2ACQnNgAkJzYAJCc2ACQnNgAkJzYAJCc2ECJ2NHUkvcIlDCxgSJXO6QyqirKY+6y+mjY2Zz3OJQosYEid/zwwbFk9sRobm2LRqsbciI2UAJGulsnORMbAJITGwCSExsAkhMbAJITGwCSExsAkhMbAJITGwCSExsAkhMbAJITGwCSExsAkhMbAJITGwCSExsAkhMbAJITGwCSExsAkhMbAJITGwCSExsAkhMbAJITGwCSExsAkhMbAJITGwCSExsAkhMbAJITGwCSExsAkhMbAJITGwCSExsAkhMbAJITGwCSExsAkhMbKEL/2Nnc8bh2SGWOk8B+YgNFqHFfS8fjMcOrcpwE9hMbAJITGwCSExsAkhMbAJITGwCSExsAkhMbAJITGwCSExsAkhMbAJITGwCSExsAkhMbAJITGwCSExsAkhMbAJITGwCSExsAkhMbAJITGyghO5pa8h6BEiU2UAJqqyujqqI85i6rj4adzXmPQwkSGygBJwyviiWzJ0Zza1s0Wt2QA7GBEjGyujLvEShhYgNAcmIDQHJiA0ByYgNAcmIDQHJiA0ByYgNAcmIDQHJiA0ByYgNAcmIDQHJiA0ByYgNAcmIDQHJiA0ByYgNAcmIDQHJiA0ByYgNAcmIDQHJiA0ByYgNAcmIDQHJiA0ByYgNAcmIDQHJiA0ByYgNAcmIDReifTS15jwCdiA0UmYadzTH/gQ15jwGdiA0Umcamlmhubct7DOhEbABITmwASE5sAEhObABITmwASE5sAEhObABITmwASE5sAEhObABITmwASE5soMTscEVociA2UCJqqyujqqI85i6rj4adzXmPQ4kRGygRJwyviiWzJ0Zza1s0Wt3Qx8QGSsjI6sq8R6BEiQ0AyYkNAMmJDQDJiQ0AyYkNAMmJDQDJiQ0AyYkNAMmJDQDJiQ0UGRfa5GgkNlBEGnY2x9xl9VFVUZ73KNCJ2EARaWxqiebWtrjlynPyHgU6ERsoQiNccJOjjNgAkJzYQAlyEAF9TWyghLhbJ3kRGygh7tZJXsQGSoy7dZIHsYEi0p19Mfbb0JfEBorEf726u+OEztohh1+9HLzf5r9e3d2HE1LKyrIsy/IeAoDiZmUDQHJiA0ByYgNAcmIDQHJiA0ByA/MeAEpdlmWxZ8+evMeAXqmpqYmysrLDfl5sIGfbt2+Purq6vMeAXtm1a1cMHTr0sJ8XG8hZZeX+EzA3b958xP9Y+6vdu3fH2LFj/X79VFd/v5qamiM+j9hAzg689TB06NCi/MfqAL9f/9bb388BAgAkJzYAJCc2kLNBgwbFokWLYtCgQXmPkoTfr38r1O/nQpwAJGdlA0ByYgNAcmIDQHJiA0ByYgM5uu222+Kkk06KwYMHx/nnnx/r1q3Le6SCuOGGG+K8886LmpqaqKuri8svvzxeeumlvMdKZvHixVFWVhYLFizIe5SCaWhoiKuuuipGjhwZVVVVMX78+Hj22Wd7/HxiAzl58MEH49prr41FixbF+vXr4+yzz46LLrootm3blvdovbZ69eqYN29erF27Np544olobW2NmTNnRlNTU96jFdwf/vCHuOOOO+Kss87Ke5SCaWxsjGnTpkVFRUX85je/iRdffDG++93vRm1tbY+f06HPkJPzzz8/zjvvvPjBD34QERHt7e0xduzY+MIXvhALFy7MebrCeu2116Kuri5Wr14d73//+/Mep2D27t0bEyZMiB/+8IfxzW9+M84555y4+eab8x6r1xYuXBjPPPNMPPXUUwV7TisbyEFLS0vU19fHjBkzOrYNGDAgZsyYEWvWrMlxsjR27doVEREjRozIeZLCmjdvXlx66aWd/ncsBr/85S9j0qRJccUVV0RdXV2ce+65cdddd/XqOcUGcrB9+/Zoa2uL0aNHd9o+evTo2LJlS05TpdHe3h4LFiyIadOmxZlnnpn3OAWzfPnyWL9+fdxwww15j1Jwf/3rX+P222+PU089NR577LG4+uqr44tf/GIsXbq0x8/pqs9AUvPmzYuNGzfG008/nfcoBbN58+aYP39+PPHEEzF48OC8xym49vb2mDRpUlx//fUREXHuuefGxo0bY8mSJTFnzpwePaeVDeRg1KhRUV5eHlu3bu20fevWrXHcccflNFXhXXPNNfGrX/0qVq5cGe94xzvyHqdg6uvrY9u2bTFhwoQYOHBgDBw4MFavXh3f//73Y+DAgdHW1pb3iL1y/PHHxxlnnNFp2+mnnx5///vfe/ycYgM5qKysjIkTJ8aKFSs6trW3t8eKFStiypQpOU5WGFmWxTXXXBMPPfRQPPnkk3HyySfnPVJBXXjhhfH888/Hhg0bOj4mTZoUn/jEJ2LDhg1RXl6e94i9Mm3atEMOVX/55Zdj3LhxPX5Ob6NBTq699tqYM2dOTJo0KSZPnhw333xzNDU1xac+9am8R+u1efPmxU9+8pN4+OGHo6ampmM/1LBhw6Kqqirn6XqvpqbmkP1P1dXVMXLkyKLYL/WlL30ppk6dGtdff3187GMfi3Xr1sWdd94Zd955Z8+fNANyc+utt2YnnnhiVllZmU2ePDlbu3Zt3iMVRES85cc999yT92jJXHDBBdn8+fPzHqNgHnnkkezMM8/MBg0alL373e/O7rzzzl49n/NsAEjOPhsAkhMbAJITGwCSExsAkhMbAJITGwCSExsAkhMbAJITG6BoZVkWN910U5x88skxZMiQuPzyyzvurUPfEhugaH3lK1+J22+/PZYuXRpPPfVU1NfXx9e+9rW8xypJLlcDFKXf//73MWXKlHj22WdjwoQJERHxjW98I+6///5DrmhMelY2QFG68cYb48ILL+wITcT+O6Fu3749x6lKl9gAReeNN96IX//61/GRj3yk0/bXX389hg0bltNUpc3baEDRWbNmTUydOjUGDx7c6UZmra2t8YEPfCAeffTRHKcrTW6eBhSdl19+Oaqrq2PDhg2dtl966aUxbdq0fIYqcWIDFJ3du3fHqFGj4pRTTunYtmnTpvjTn/4UH/3oR3OcrHTZZwMUnVGjRsWuXbvi4L0E3/rWt+KSSy6JM844I8fJSpeVDVB0PvjBD8brr78eixcvjlmzZsX9998fjzzySKxbty7v0UqWlQ1QdEaPHh333ntv3H777fGe97wn1q5dG08//XSMHTs279FKlqPRAEjOygaA5MQGgOTEBoDkxAaA5MQGgOTEBoDkxAaA5MQGgOTEBoDkxAaA5MQGgOTEBoDk/h9FWFi85kpJBgAAAABJRU5ErkJggg==", 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