diff --git a/notebooks/Counterfactual_Transportability_Demo_Final.ipynb b/notebooks/Counterfactual_Transportability_Demo_Final.ipynb
index aaf44b89..9beae128 100644
--- a/notebooks/Counterfactual_Transportability_Demo_Final.ipynb
+++ b/notebooks/Counterfactual_Transportability_Demo_Final.ipynb
@@ -12,7 +12,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 2,
+   "execution_count": 1,
    "id": "2006c3a7-bb08-4f5d-9015-fbea48ce15aa",
    "metadata": {},
    "outputs": [],
@@ -44,14 +44,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 3,
+   "execution_count": 2,
    "id": "9f2e9ce1-f32c-4e89-8206-16b36daee589",
    "metadata": {},
    "outputs": [],
    "source": [
     "logger = logging.getLogger()\n",
-    "logger.setLevel(logging.ERROR)\n",
-    "# logger.setLevel(logging.INFO) # Uncomment to view some of the function calls happening under the hood"
+    "logger.setLevel(logging.ERROR)"
    ]
   },
   {
@@ -67,13 +66,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 4,
+   "execution_count": 3,
    "id": "b4815b37-fe4d-43ed-a7d1-d2732000f6e1",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -83,8 +82,6 @@
     }
    ],
    "source": [
-    "# Declare some variables first\n",
-    "\n",
     "Vaccinated = Variable(\"V\")\n",
     "Masked = Variable(\"M\")\n",
     "Infected = Variable(\"I\")\n",
@@ -95,7 +92,6 @@
     "        (Masked, Infected),\n",
     "        (Vaccinated, Infected),\n",
     "    ],\n",
-    "    undirected=[],\n",
     ")\n",
     "simple_covid_graph.draw()"
    ]
@@ -110,7 +106,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 5,
+   "execution_count": 4,
    "id": "d5921068-878a-4e90-bd6e-8c24ea78b053",
    "metadata": {},
    "outputs": [
@@ -123,7 +119,7 @@
        "Sum[M](P(I | M, V) * P(M | V))"
       ]
      },
-     "execution_count": 5,
+     "execution_count": 4,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -142,13 +138,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 6,
+   "execution_count": 5,
    "id": "739daf0d-8bd4-42ba-a30b-3a89f748dee4",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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4fPgwunXrht69e5vkHmbPno3//Oc/Yp+vry/27duHVq1a1fj8RGQdGAaIzGTt2rWi9/7AgQNx+PDhex6v0+mQkJAArVaLxMRE5ObmQq/Xo6CgAC4uLlCpVPD09ET37t3h5+cHX19feHh4GJ3jo48+QkpKCgBg0qRJaNq0qUnuJSYmBmFhYfjnn38AlHSC3LNnDwICAkxyfiKSF8MAkRnodDqo1WrRq1+r1cLX19fs1/31119x4MABAEDr1q3x8ssvm2z2w9OnT+OFF15AWloagJIOkIsXL8bcuXPh4MBRykS2jH+Cicxg+fLlIgiMGTPGIkEAAPz9/UVrwR9//IFr166Z7NwPP/ww4uLi8PTTTwMoGXmwYMECPPvss7LNsEhEpsEwQGRimZmZWLt2LQDAxcUFS5cutdi1nZycEBQUBAcHB7i4uMDZ2dmk5/fw8MCXX36JZcuWiRaHb775Bv7+/jh9+rRJr0VElsPXBEQm9vLLL2P37t0AgDlz5uDdd9+1eA25ublwdnYWMyCaw8GDB/HSSy+J1oc6depg8+bNGDNmjNmuSUTmwTBAZEIJCQnw8/MDUNLJLj09/V+d/CwpOzsbubm56NKli1lWTszMzMTw4cMRHx8v9r3yyitYvXo1lEqlya9HRObB1wREJiJJEl5//XWxvWDBAlmDQH5+Pnbs2IEvvvhCdCo0tZYtW+Lnn382moxo/fr16N+/v9ECSURk3RgGiExEo9Hg+++/BwC0adMGU6dOlbUepVIpWgNOnjyJy5cvm+U6KpUK0dHRiI6OhouLCwDg+PHj8PX1xY8//miWaxKRaTEMEJlAUVER5syZI7aXL18uezO5k5MTHnvsMQAlrRaHDh0y6/UmTpyIo0ePwsvLCwBw9epVPPnkk1i1ahX4NpLIujEMEJnAhx9+iLNnzwIAevXqhREjRshcUYlHHnkEDRs2BACTDjOsiL+/P7RaLQYPHgygZJbF2bNnY+TIkUaLNBGRdWEHQqIaun37Ntq2bYu//voLAPDzzz+jb9++Mlf1PzqdDidOnECHDh3QsmVLi1zTYDAgIiLCaFhlhw4d8Pnnn6Njx44WqYGIKo9hgKiGFi9ejEWLFgEAnnvuOXzxxRcyV1SxoqIiFBcXW+wVxtdff42XX34ZN27cAADUq1cP27dvx/Dhwy1yfSKqHIYBohq4fPkyvL29cfv2bTg6OuLs2bNo37693GWV6++//8bmzZvh4uKCsWPHmmRlw8pIS0vDsGHDcObMGbFv9uzZWL58OZycnCxSAxHdG/sMENVAREQEbt++DQCYPHmy1QYBoKTPwJ07d3Dr1i18++23FuvU5+3tjV9//RWjR48W+1auXIlBgwbhypUrFqmBiO6NYYComs6dO4ctW7YAANzc3MSrAmulVqvRoEEDACWTBZWdKMjcXF1dsWvXLqxbt060Bvz444/w9fXF8ePHLVYHEZWPYYComt544w0YDAbxuUmTJjJXdG9OTk5ikSGgJMxYkkKhwCuvvIIjR47goYceAgBcunQJ/fr1w/r16zn8kEhG7DNAVA1HjhxB//79AQDNmjVDSkoKXF1d5S2qkk6cOIH4+Hj0798fnTt3lqWGy5cvY9SoUThy5IjYN2bMGGzatMlm/j0S1SYMA0RVVFxcjF69eolm9m3btmHChAkyV2V7ioqK8Oabb2LVqlVi38MPP4zPP/8carVaxsqI7A/DAFEVffTRR3jppZcAAF26dEFiYiIcHR1lrqrq8vPzsXPnTigUCowaNQr169eXpY5PP/0UEyZMEB0x69evj927d+Opp56SpR4ie8Q+A0RVUFBQgLlz54rtFStW2GQQAEpWNLxy5QouX76Mr776SrZ39iNGjEBcXJwYiXHjxg08/fTTWLhwoeiTQUTmxTBAVAXr1q3DhQsXAACDBg1CQECAvAXVQKtWrURrwB9//AGtVitbLR07dsTJkyfxwgsviH1LlizB0KFDLTKNMpG9YxggqqTc3Fwxva5CocCKFStkrqhmlEql0eiChIQEGasB3N3d8emnn2LFihVwcCj5q+nAgQPw8/OTNagQ2QOGAaJKWrZsGXQ6HQBg7Nix6Nq1q7wFmYBarUb//v3h5OSEdu3ayV0OFAoFZs+eje+++07MkJiZmYlHH30U27Ztk7k6otqLHQiJKuGPP/5Ahw4dUFhYCJVKhdTUVDRv3lzuskxGkiQoFAq5yzCSnZ2NESNG4NdffxX7wsLC8MEHH0ClUslYGVHtw5YBokqYO3cuCgsLAQAzZsyoVUEAKHkilyQJ+/btw7p165CVlSV3SWjevDl+/PFHTJ06VeyLjo7GY489ZhX1EdUmbBkguo+4uDj07NkTANCoUSOkpaXJNgzPnG7fvo2VK1cCAOrWrYvw8HDUq1dP5qpK7Ny5E5MnT4ZerwcANGzYEB9//DGefPJJmSsjqh3YMkB0D5IkYfbs2WJ70aJFtTIIACUBoG3btgBKgsHnn39uNVMEjx07FsePH0ebNm0AlCy6FBAQgOXLl6O4uFjm6ohsH8MA0T18/fXX+OmnnwAAbdu2xeTJk2WuyLyeffZZuLm5ASjpJ3H9+nWZK/qfbt26IT4+HkOHDgVQMhPk3LlzMWzYMNy4cUPm6ohsG8MAUQWKiorwxhtviO133nkHzs7OMlZkfnXr1sWIESPg4eGBNm3awMPDQ+6SjDRo0AD//e9/sXjxYtHh8auvvoK/vz/OnDkjc3VEtot9BogqEBUVhSlTpgAAHn30Ufz8889W1+PeXMqOLjAYDFY5y2JsbCxeeukl0Xrh6uqKLVu24MUXX5S5MiLbwzBAVI68vDx4e3vj6tWrAIBffvkFjzzyiMxVWV5CQgL279+Pjh074rnnnrO6UPDHH3/ghRdeQGJiotj32muvYcWKFVAqlTJWRmRb+JqAqBwrVqwQQWD48OF2GQQAID09HQaDAcnJyThw4IDc5fxL69atcezYMaNVIz/44AMMHDgQly5dkrEyItvClgGiu1y6dAlt27ZFfn4+nJ2d8dtvv8Hb21vusmSRnZ2N7du3ix77w4YNQ5cuXWSu6t8kScKWLVvw6quvivkgHnjgAXzyySd4/PHHZa6OyPqxZYDoLgsXLkR+fj4AYMqUKXYbBICSiX/KLiX8+++/y1hNxRQKBcLCwnD06FG0aNECAHDlyhUMHDgQa9assZohkkTWii0DRGUkJyeja9euKC4uhru7O9LT09GoUSO5y5KdVqvFuXPn0L9/f6uffTEnJwcvvvgiDh8+LPYFBwdjy5YtVjOJEpG1YRggKmPIkCHQaDQASoYSlh1aSCVu3LiBq1evQq1Wi9UFrY3BYMCCBQuwfPlysa9Tp074/PPP0b59exkrI7JODANE/9/hw4fF9LYtWrTA77//jjp16shclXUxGAz44IMPcPPmTXTo0AEjR4606uGWX375JcaNG4ebN28CANzc3LBjxw48//zzMldGZF2sM9YTWVhxcTFef/11sb1s2TIGgXKUbQk4f/68UVO8NXruuecQFxeHzp07AygZMjps2DC8+eabKCoqkrk6IuvBMEAEICYmRoxV7969O0aPHi1zRdZJoVDgmWeeEa0Bx44ds/oVBNu1a4cTJ05g1KhRYt+7776LgIAAMXyUyN4xDJDd++effzBv3jyxvWLFCqt9F24N1Go1AgMDxXbpyAtrVrduXezZswdr166Fk5MTAOD777+Hn58fTpw4IXN1RPJjnwGye++++y7efPNNAEBQUBD2798vc0W2ISsrC/n5+Wjfvr1V9xu429GjRzFixAhcvnwZAKBUKrF27VpMnjzZpu6DyJQYBsiu/f3331Cr1bh58yYcHBxw6tQp+Pj4yF2WTZEkCd9++y2uXLmCgIAAqx96CAB//fUXRo4ciaNHj4p948aNw8aNG9lXhOwS20LJri1ZskT0NJ8wYQKDQDXcunULWq0W2dnZiImJwZUrV+Qu6b6aNm2K77//HtOnTxf7duzYgT59+iAjI0O+wohkwpYBsltpaWno2LEjioqK4OrqitTUVDz00ENyl2WT9uzZg9TUVABAvXr1MGXKFLi6uspcVeV8/PHHCA0NFX0fGjRogJiYGAQFBclcGZHlsGWA7NZbb70lhpfNmjWLQaAGhg8fLv793bp1C2lpaTJXVHmjRo3CyZMn0bZtWwDA9evXMXToUERGRoo1GYhqO7YMkF06fvw4+vTpAwBo0qQJ0tLS4ObmJnNVti0/Px/ffvstCgoKMGzYMJtpGSh148YNjB8/Hl9++aXYN2TIEOzatQuenp7yFUZkAQwDZHckSULfvn3xyy+/AAA2btyI8PBwmauqfS5cuICsrCz4+vrazJoAkiThvffew9y5c0WrQOvWrbFv3z50795d5uqIzIdhgOzO559/jhdeeAEA0KFDB5w5c0aMPSfTKCoqwooVK1BYWIgGDRpg7Nix8PDwkLusSjt8+DBGjRqFv//+GwCgUqkQFRWFcePGyVwZkXmwzwDZlTt37og5BYCSOQYYBEzP0dFRrPZ4/fp1fPjhh2LUhi144oknoNVq0aNHDwCAXq/H+PHjMXXqVBQUFMhcHZHpMQyQXdm8ebPo9f7444/j6aeflrmi2kmhUCA4OBgNGzYEUPI+3tZm+vPy8sLPP/+MyZMni30bN25Ev379kJ2dLWNlRKbH1wRkN27evAlvb2/k5OQAAE6ePCme/Mg88vLy8Mknn+DKlSsYPnw42rVrJ3dJ1bJ9+3ZMmTJFtAo0btwYH3/8MQYOHChzZUSmwTBAdmPevHl4++23AZQMJ/voo49krsh+FBUVwcnJCXq9HufOnUObNm1Qv359ucuqkoSEBLzwwgu4cOECgJIVHJcvX47XX3+d0xiTzWMYILuQnZ2Ntm3bQq/XQ6lU4vz582jdurXcZdmdffv2ITk5GUqlEiNHjoRarZa7pCrJzc3F6NGjERsbK/YNGzYM27dvh7u7u4yVEdUM+wyQXViwYAH0ej0A4NVXX2UQkEnpvP+FhYXYs2cPkpOTZa6oajw9PfHNN99g0aJFYt/nn3+OHj164LfffpOxMqKaYcsA1XqnTp1C9+7dIUkSPDw8kJ6ezklkZHLnzh3s27cPv//+OwDA1dUVs2fPtslm9m+//RZjxoyBTqcDULJM8rZt2zBy5Eh5CyOqBrYMUK03Z84clGbe+fPnMwjIyNnZGSNHjkTv3r3h4OCANm3a2GQQAIChQ4ciPj4eXbt2BQDcvn0bwcHBmDlzJu7cuSNzdURVw5YBqtUOHjyIgIAAAEDLli1x/vx5qFQqmasioKSVwNnZGQCQmJiI27dvo0ePHnBxcZG5sqrJz89HeHg4du3aJfY9/vjj2Lt3Lx588EEZKyOqPLYMUK1lMBjw+uuvi+23336bQcCKlAaBv//+G//9739x+PBhbN++3aYmJwJKXnXs2LEDGzZsEPf0008/wdfXF8eOHZO5OqLKYRigWmvXrl04ffo0AMDPzw+jRo2SuSIqj7u7u1i74MqVK9i8eTOuX78uc1VVo1AoMGXKFPz0009o1qwZAOCvv/5C//798Z///AdsgCVrxzBAtVJ+fj7mz58vtleuXAkHB/7vbo2USiXGjx+PBg0aACh5956YmChzVdXTu3dvJCQkYMCAAQBK5ld47bXXMGbMGNy+fVvm6ogqxr8dqVZ6//33cfHiRQDAU089hf79+8tbEN1Tw4YNMXHiRHTp0gVNmzZF586dAcAmn6ibNGmCgwcPYs6cOWLfnj170Lt3bzEVNpG1YQdCqnWuXr0Kb29v5OXlwcHBAWfOnEGnTp3kLouq6MqVK/j4449Rv359PPXUU2LhI1uyb98+jB8/Hrdu3QJQ8kpk165deOaZZ2SujMgYWwao1lm8eDHy8vIAABMnTmQQsFEZGRnQ6XTIzMxEdHQ0zp07J3dJVfbCCy8gLi4OHTt2BFCyPsazzz6L+fPnw2AwyFwd0f+wZYBqlZSUFHTu3BlFRUWoW7cu0tLSOLzLRuXn5+PDDz8UC0sBQHh4OB544AEZq6qevLw8hIaG4tNPPxX7Bg0ahD179thkiwfVPmwZoFrlzTffRFFREQDg9ddfZxCwYa6urpg4cSJ8fHzEvtIppW2Nm5sb9u7di1WrVsHR0REAcOjQIfj5+SE+Pl7m6ojYMkC1yNGjR/HYY48BAB588EGkpqaKIWtkuyRJwh9//AFJktCmTRvo9XqcOHECjRs3RqdOnWxuBsMjR45g5MiRuHr1KoCS0RTr16/HxIkTZa6M7BnDANUKkiShT58++PXXXwEAmzdvRlhYmMxVkTkcPnwYR48eBQC0a9cOTz/9tM2FvosXL2LEiBE4fvy42BcaGop169ZxYiySBV8TUK3w2WefiSDQqVMnTJgwQeaKyFweeugh8TklJQWbNm1Cfn6+jBVVXbNmzfDjjz/i//7v/8S+rVu3om/fvsjMzJSxMrJXDANk8woLC/HWW2+J7ffeew9OTk4yVkTm1LFjR7z44ouoW7cuAODWrVvIzs6WuaqqUyqV+OCDD7Br1y6xtLNWq4Wvry8OHjxY4e9du3YN7777LuLi4ixVKtkBviYgm7d27VpMnz4dADBgwAAcPnzY5t4jU9Xdvn0bx44dg0KhQP/+/eHk5ITff/8d7u7uRq0HtuD06dMYNmwY0tPTAZRMb7xkyRK89dZbRjNn5ufno0+fPjh16hTq1auHjIwMNG7cWK6yqRZhGCCbptPpoFarkZubCwCIj4+Hn5+fzFWRHOLj4/Htt98CALp06YLBgwfbVF8CnU6HsWPH4uuvvxb7nn76aezcuRMeHh6QJAnjxo0zWh1x3rx5WLp0qRzlUi3D1wRk05YvXy6CwOjRoxkE7FjZpY/PnDmD9evX49q1azJWVDUeHh748ssvsXTpUtGy9fXXX8Pf3x+nT59GVFSUURAAgHXr1tncKo9kndgyQDYrMzMT7du3R0FBAVxcXPD777+jZcuWcpdFMpEkCYmJifjuu+/wzz//AAAGDx6MRx55RObKqu7gwYN48cUXRdBVKpUwGAzlzlr4zjvv4I033rB0iVTLMAyQzXr55Zexe/duACUTDL333nsyV0TW4Pbt2zh69Cjy8/MxaNAg1K1bF2fPnsU///yDhx9+2KgFwZpduHABw4cPh1arvedxTZo0wYULF0QnRKLqYBggm5SQkCBeCXh6eiI9PR0eHh7yFkVW6fLly9i0aROAkpkABw8ejM6dO9tEJ9Nbt26hXbt2+Ouvv+553Lp16/DKK6+YpYbr168jISEBWq0WSUlJuHbtGvR6PQoLC6FUKqFSqdCwYUN069YNfn5+8PX1FctRk+1gGCCbI0kSnnzySXz//fcAgDVr1ojRBER3u3XrFjZs2CBeHQDA448/jgEDBshYVeXMmTMHK1asuO9xLVu2RGpqKpydnWt8TYPBAI1Gg5iYGJw8eRIZGRlVPkebNm3Qs2dPjB49GkFBQWIKZrJeDANkc/bv34+hQ4cCKPlL59y5c1AqlTJXRdbs+vXr2L9/P9LS0gAAbdu2xUsvvSRzVfe2b98+DB8+vNLH79ixA2PHjq329XJycrB161ZERUWZdOKjli1bIjw8HKGhoRwGacUYBsimFBUVoVu3bjh79iwAYO/evRg5cqTMVZEtkCQJGRkZyMrKgq+vL+rXr4+TJ0/il19+QevWrTFgwAC4u7vLXSYAIC0tDd27d8etW7cq/TsdOnTA2bNnjeYlqIysrCzMmzcPn3zyCQoLC41+plKpRPO/v78//Pz84OXlBZVKBaVSicLCQuj1emRmZkKr1Yp/kpKS/rWolFKpRHBwMJYuXQovL68q1UjmxzBANmXLli1izYFevXrh+PHjNvHul6zTpk2bcPnyZQCAk5MT+vXrh759+8pcFbB06VIsWLCgyr+3b98+DBs2rFLHSpKELVu2YNasWcjLyxP7FQoFAgMDMXXqVAQGBlZrNs+ioiLExsZiw4YNiI2NRdmvGTc3N6xevRqhoaH8s2tFGAbIZty+fRtt27YVnal+/vlnq/iLm2xXamoq9u3bh4KCArEvPDwcDzzwgIxVlcxI+Mwzz1S5uV6tViM1NfW+X7JZWVkICwszmvbY09MToaGhCA8PR5s2bapVd3nS09OxadMmbN26VQyVBEqGfUZHR7OVwEowDJDNWLx4MRYtWgQAeO655/DFF1/IXBHVBvn5+fj5558RFxeH+vXrIzQ0FHXq1BFN3Q8//LBYB8GSSpdujo+PF/9otdr7TjL00UcfYdSoURX+PCYmBlOmTDFqDQgJCcHq1atRv359k9V/N51Oh1mzZmHbtm1in5ubG6Kioqy+/4Y9YBggm3D58mV4e3vj9u3bcHR0xNmzZ9G+fXu5y6JaRJIkFBcXw9HREVlZWdi+fTuAktcHvr6+6N+/v+xj+YuLi5GWlmYUEBISEnD79m1xzM6dO/Hyyy+X+/tr1qzBzJkzxXbz5s0RHR2NwMBAs9deSqPRICwsDBcvXjSqiyOC5MUwQDYhPDxcjBWfOnUq1q9fL3NFVJvduHEDmzdvNloa2dvbG6NHj5axqvIZDAb8/vvv+Pjjj9G0aVNMmTKl3OOWLFmChQsXiu1x48Zh7dq1Zm0NqIhOp8O0adOwc+dOo/rmz59v8VqoBMMAWb1z586hS5cuMBgMcHNzQ1paGpo0aSJ3WVTL3bx5E8ePH4dWq8WdO3fQvn17jBo1CgaDAefOnYOHhweaNWtmE53g7m4RiIyMxIIFC2StXZIkLF68GBEREWIfWwjkwzBAVu+ZZ54RK7ktXboU8+bNk7kisif5+fn466+/0KJFCyiVSnz33Xc4duwYAOCBBx5Ar1690K1bN6sNBTExMRgzZozYXrlyJWbNmiVjRcZWrVqF2bNni+2YmBj2IZABwwBZtSNHjqB///4AgGbNmiElJQWurq7yFkV27eeffxazX5YaMmQIevToIVNFFcvKyoKPj4/oLBgRESE64VqTiIgIREZGAijpVJicnMxRBhbGJYzJahUXFxs9MSxZsoRBgGTXt29fPPfcc2jWrNm/fnblyhV89913+O2338pdYdCSJEnCxIkTRRAYN26cUZ8Ba7Jo0SIxe2JeXh4mTZoEPqdaFlsGyGp99NFHormwS5cuSExM5BznZFWuXLmC/Px8tGrVCgqFAtHR0bh06RKAkifcXr16oU+fPrK8QoiOjsakSZMAlIwaSE5OlqWzYGXpdDr4+PiIUQbR0dGYOHGizFXZD4YBskoFBQXo0KEDLly4AACIjY1FQECAvEUR3UdsbCxOnDhhtO/FF19Eu3btLFrH3a8H9u/fj6CgIIvWUB0ajQZDhgwBwNcFlsbXBGSV1q1bJ4LAoEGDGATIJgQEBODll19Ghw4doFAooFQqxXK+33zzDd5++23s3LkTiYmJ/5q735Tmz58vgkBISIhNBAEACAoKwoQJEwCUvC7gUEPLYcsAWZ3c3Fyo1WrodDooFAokJiaia9eucpdFVCUFBQUiEADAihUrjOYtcHd3R2hoqMkXR7p69SpatGiBwsJCeHp6IiMjo1qvB6KioozmLPDy8qrU9MjffvstnnrqKaN92dnZ5faxKI9Op4NarUZubi6USiWys7O52qEFsGWArM6yZcug0+kAAGPHjmUQIJvk4uJitLT2s88+C09PT7F98+ZNMVd/amoqvvnmG2i1WqNpgqtj27ZtYvXB0NDQavcTSEpKMtr+888/77uKosFgwJw5c4z2NW7cuNJBAAA8PDwQEhICACgsLDSavpjMhy0DZFX++OMPdOjQAYWFhVCpVEhNTUXz5s3lLovIJCRJwqVLl3D+/HnUq1cPPXv2hEKhwDvvvGO0WFK7du0wbNgwuLi4VOn8BoMBarUamZmZUCgUSE1NhVqtrlatvXv3xokTJ+Dq6ipaNE6cOIGePXtW+DubN2/G5MmTxfLGAPDkk0/i0KFDVbp2eno6vL29AQCtWrVCWloaOw+bGVsGyKrMnTtX/CUyY8YMBgGqVRQKBZo1a4YnnngCvXr1EqMM2rZta3RcSkoK/vzzTwAlIxaOHTuG1NRU3Llz557n12g0oik/MDCw2kGguLgYZ86cAVCyumDpkN6zZ89W+Du3bt0Scxg888wzYn+3bt2qfH21Wi3WS7hw4QJiY2OrfA6qmqovVE1kJnFxcfj4448BAI0aNcIbb7whc0VEljFs2DD07t0bKSkpyMjIgJubG1q2bAkA2Lt3L65fvw4AcHR0RPv27fH0009DpVL96zwxMTHi89SpU6tdT0pKimgN6N69Oy5evIi4uDj89ttvFf7OihUrcPnyZXh6emLo0KH47LPPAFQvDAAl9ZeGgN27d2Po0KHVOg9VDsMAWQVJkvD666+L7UWLFln1mGgiUyptMWjWrBkGDBhg9LNGjRqJMGAwGPDbb7+hY8eO8PHx+dd5Tp48CQBQqVQ1WomwbH+Bbt26ITMzE3FxcRW2DFy6dAmrVq0CACxYsECMBAJKwkR1BAUFQaVSQa/XIy4urlrnoMrjawKyCt988w2OHDkCoKTJdPLkyTJXRGQdgoODMXLkSPj6+qJhw4Zo3rw52rRp86/jrl+/joyMDAAlX+BOTtV/1rs7DDz88MMAKn5NsHDhQty+fRtqtRqvvPKK+P06depUe6lxJycn0Xk4PT1ddCom82DLAMmuqKjIqAfyO++8A2dnZxkrIrIejo6O6NixIzp27HjP4xISEsRnPz+/Gl2z9Mu8QYMG8PLyEmGgdERBvXr1xLHJycn48MMPAfzvz27p7/v4+NSo45+fn5+YxCkhIQEDBw6s9rno3tgyQLLbunUrzp8/DwB49NFH8fzzz8tcEZHt0Wq14rO/v3+NzlX6ZV76ZF4aBiRJ+le/gdmzZ8NgMOCRRx7B8OHDodPpRCfG6vYXKFX2PsreH5kewwDJKi8vz2gVtRUrVljtUrBE1qxs035NWgYuX76MK1euAPjfl3nDhg3RtGlTAMavCg4dOoQDBw4AKFka+e46ahoGyt5HYmJijc5F98YwQLJauXKl+Itn+PDheOSRR2SuiMg2Xbt2TXyuyXz+Zb/My074Vdo6UNoyUFxcLDr9vvDCC+jTp8+/fr+6nQdLlb2P0gmayDwYBkg2ly5dEk8Tzs7OWL58ucwVEdmusmsdlDfssLIqerK/uxPhzp07cerUKTg7O+Odd9751+87ODiI36musvdhzrUciGGAZLRo0SIxlnnKlClixjEiqrrSyboAGE2DXFWlX+bOzs7o1KmT2N+lSxcAJWHgn3/+EYsITZ061ejPbunve3t7o27dutWuA4DRDIxlZ2gk02MYIFmcPXtWzDnu7u6OBQsWyFwRkW0rGwDKBoOqKv0y79ixo9E5y44oiIyMxMWLF+Hh4WH0Z7ewsFC8RqhpfwHAOABUdWpmqhqGAZLFnDlzUFxcDKBkCuJGjRrJXBGRbTNFk3p+fj5SU1MB/PvLvGPHjnB2doYkSVixYgWAkj+7DRs2FMf89ttvYspkU4QBU736oPtjGCCL+/7777F//34AQIsWLfDaa6/JXBGR7Sv7pZyVlVWtc5w+fVqE9Lu/zJVKpZhAqLi4GC1btvzXn11Tdh4EjO+j7IqPZHoMA2RRxcXFmD17tthetmwZ6tSpI2NFRLVD2S/v6o7Jr2gkQSlfX1+4uLjAxcUFy5cv/1fTvSmHFQLG92GKcEEVYxggi9qzZ48YL9y9e3eMHj1a5oqIaoeyY/Lj4+OrdY77fZnv2LEDer0eer0eL774YoW//8ADD+DBBx+sVg1llb2Pms6qSPfGMEAWo9frMW/ePLG9YsUKODjwf0EiU/D19RWfa9oy0KJFi2o1y586dQqAaVoFAOP7KHt/ZHr8m5gs5oMPPhDvAIOCgvDEE0/IXBGR7ZEkCSkpKVi7di2effZZhIaGQq/Xo0GDBmIBo6SkJBQVFVXpvMXFxThz5gyA8l8R3M+FCxfEYkKmCANFRUUiXKjVanh4eNT4nFQxLlREFnHt2jW8/fbbAEomI3nvvfdkrojIdty+fRs//PADNBoNYmNjxeqEpYYOHYphw4ahZ8+eyMjIgF6vR2xsLJ566qlKXyMlJUXM+1GdL3NT9xfQaDRiNEGPHj1qfD66N4YBsoglS5bgxo0bAIAJEyaUuxY7EZWQJAnnz58XX/5HjhypcO4AX19fMRXw6NGj8fHHHwMANmzYUKUw0KFDB0iSVO2an3vuuRr9/t02bNggPo8ZM8Zk56XyKSRT/tcjKkd6ejo6duyIO3fuwNXVFampqXjooYfkLovIqty6dQvff/89NBoNNBqNWPnvbs7Ozujbty+CgoIQFBSEzp07i8W9DAYD1Go1MjMzoVAokJqaCrVabcnbMIn09HQxq2GrVq2QlpZWo6WQ6f7YMkBm99Zbb4mJSGbNmsUgQIT/LQdc+uX/888/iz8nd/Py8hJf/gMHDoSbm1u5xzk6OiI8PBxvvfUWJEnCpk2bbPKVXFRUlPgcHh7OIGABbBkgs/r111/FSoRNmjRBWlpahX+REdV2N2/exOHDh0Xz/59//lnucUqlEo8//jgCAwMRFBSEjh07Vnpp75ycHDRv3hyFhYXw9PRERkYG6tevb8rbMCudTge1Wo3c3FwolUpkZ2ejcePGcpdV67FlgMxGkiSjCYYiIyMZBMiuSJKEM2fOiC//o0ePVtjLv1WrVuLpf8CAAahXr161rtm4cWMEBwdj165dyM3NxcyZM7F169aa3IZFzZw5UyxXHBwczCBgIWwZILP54osvMGzYMAAlnZPOnDkDJyfmT6rdbty4gUOHDiE2NhaxsbG4ePFiuce5uLigX79+IgC0a9eu0k//95OVlQUfHx/k5eUBAPbv34+goCCTnNuc9u/fj6FDhwIA3NzccPbsWbRo0ULmquwDwwCZxZ07d9C5c2ex6MlXX32FZ555RuaqiExPkiScOnVKvPv/5ZdfYDAYyj1WrVaLL//+/fvD1dXVbHVFR0dj0qRJAIBmzZrh7NmzVv26QKfTwcfHR4Sn6OhoTJw4Ueaq7AfDAJnF+vXr8eqrrwIAHn/8cfz4448me+ohktv169dx6NAh0fx/+fLlco9TqVQYMGAAgoKCEBgYiLZt21qsRkmSEBgYiIMHDwIAxo0bh+3bt1vln0NJkjB+/Hjs3LkTABAQEACNRmOVtdZWDANkcjdv3oS3tzdycnIAACdPnuSkIWTTiouLkZiYKJ7+f/31V7G6393atWsnvvz79esn60Jcd78uiIiIwKJFi2SrpyIRERGIjIwEwNcDcuELXDK5d999VwSBUaNGMQiQTbp27RoOHjwIjUaDAwcO4OrVq+Ue5+rqioEDB4qe/6VTAlsDLy8vbNy4UUzaExERgXr16mHWrFkyV/Y/q1atEkEAKBlWyCBgeWwZIJPKzs5G27ZtodfroVQqcf78ebRu3Vrusojuq7i4GPHx8YiNjYVGo8HJkycrfPrv0KGDePf/2GOPQaVSWbjaqnn//fcxY8YMsR0REYGFCxfK2gwvSRIiIyONgsD777+PadOmyVaTPWPLAJnUggULxHzir776KoMAWbWcnByjp/+///673OPq1q2LJ554QjT/t2rVyrKF1tD06dNx69YtLFiwAEBJGMjIyMDatWtlWQBIp9Nh2rRpoo8AUDJlOYOAfNgyQCZz6tQpdO/eHZIkwcPDA+np6dVaBpXIXAwGA+Li4sS7//j4+Arn0+/cubN4+n/00Ufh4uJi4WpNb82aNZg5c6bYbtasGaKjoy067FCj0SAsLMxoyOWaNWswffp0i9VA5ZCITGTw4MESAAmAtHLlSrnLIZIkSZIuX74s7dixQxo1apTk6ekp/h+9+x83Nzfp+eeflzZt2iRlZmbKXbbZ7N69W3JzczO695CQEOn69etmve7169elCRMmGF3X3d1diomJMet1qXLYMkAmcfDgQQQEBAAomUnt/PnzteJJimxPUVERTpw4IYb9abXaCo/t0qWLePrv06cPlEqlBSuVT1ZWFsLCwsSwQwDw9PRESEgIwsPDTbq4UXp6OqKiorBt2zYxsyBQMnwwOjqanQWtBMMA1ZjBYICvry9Onz4NANizZw9efPFFmasie/LXX3/hwIED0Gg0OHjwIHQ6XbnHubu7Y9CgQeLdf7NmzSxbqBWRJAlbt27FzJkzxdBDAFAoFAgICMDUqVMRFBRUrVlDi4qKoNFosGHDBsTGxhr9zN3dHatXr0ZISAjnEbAiDANUYx9++CEmTJgAAPD398eJEyfg4OAgc1VUm925cwe//vqrePeflJRU4bHdunUTT/+9e/eGs7Oz5Qq1AVlZWZg/fz727t2LwsJCo5+pVCp07doVfn5+8Pf3h5+fH7y8vKBSqeDi4oKCggLo9XpkZWVBq9UiPj4eWq0Wp06dEh2JSymVSgQHB2PZsmVsDbBCDANUI/n5+WjXrp3oDPTDDz+gf//+8hZFtdLFixfFsL/vvvsON27cKPc4Dw8PDB48GEFBQQgICEDTpk0tXKltysnJwbZt27Bx40ZkZmaa7LytWrVCeHg4QkJCuOiQFWMYoBp5++23MW/ePADAU089ha+//lrmiqi2uHPnDo4dOyae/s+cOVPhsX5+fmLSn169enFBrBowGAyIjY3F7t27ERcXh/T09CqfQ61Wo0ePHhgzZgwCAwPh6OhohkrJlBgGqNquXr0Kb29v5OXlwcHBAWfOnEGnTp3kLots2J9//ik6/n333XdG77LL8vT0NHr6f+CBByxcqf3Q6XRISEiAVqtFYmIicnNzodfrUVBQABcXF6hUKnh6eqJ79+7w8/ODr6+vLHMXUM0wDFC1vfrqq1i/fj0AYNKkSdi0aZPMFZGtKSgowNGjR0Xz/9mzZ8s9TqFQwN/fX7z779GjB582iUyIYYCqJSUlBZ07d0ZRURHq1q2LtLQ0PPjgg3KXRTbgwoUL4sv/8OHDuH37drnHNWrUCAEBAQgKCsLgwYP5vpnIjPhijarlzTffRFFREQDg9ddfZxCgChUUFOCnn34S7/7Pnz9f7nEKhQK9evUSw/78/Pz49E9kIWwZoCo7evQoHnvsMQDAgw8+iNTUVNSrV0/mqsiaZGRkiC//H374Afn5+eUe16RJEwQGBiIwMBCDBw9Gw4YNLVwpEQFsGaAqkiQJr7/+uthevHgxgwDhn3/+wZEjR0Tnv5SUlHKPc3BwwCOPPCJ6/nfv3p1zUhBZAbYMUJV89tlnGDFiBACgU6dOOHXqFIdx2anU1FTx5f/DDz/8a5KZUg8++KD48h80aBAaNGhg4UqJ6H4YBqjSCgsL0alTJzHu+JtvvsHQoUNlroosJT8/Hz/++KNo/q9o/LmjoyP69Okjev4//PDDfPonsnJ8pCMjkiThq6++Qm5uLoKDg1G3bl3xs6ioKPEFMGDAAAwZMkSuMskCJElCSkqK+PI/cuQICgoKyj32oYceEh3/nnzySY4zJ7IxbBkgI1qtFv7+/gBK/oJfvHgxxo8fj7y8PHh7e+PatWsAgPj4ePj5+clZKpnB7du38f3334vm/z/++KPc45ycnNC3b1/R/N+lSxcuOkNkw9gyQEbKDvu6dOkSJk6ciPfffx8dOnQQQWD06NEMArWEJEk4d+6c+PL/6aef/rVYTanmzZuLpv8nnngC7u7uFq6WiMyFYYCMlDcELDk5GcnJyQAAZ2dnLFu2zNJlkQnl5eXh8OHDYuKfrKysco9zdnbGY489JgJAp06d+PRPVEsxDJCRisaDl7pz5w4WLlyIpUuXchlSGyFJEs6ePSve/R89ehR37twp99iWLVuKL/8BAwbAzc3NwtUSkRwYBsjI/cIAAOzcuROffPIJpk+fjjfffBP169e3QGVUFTdv3sR3330nmv+zs7PLPU6pVKJfv37i3X+HDh349E9khxgGyEhlwgAA6PV6vPPOO/jyyy+RmJgIlUpl5sroXiRJwunTp8XT/y+//CKmi75b69atjZ7+y44YISL7xDBARiobBkqlpKQgLy+PYUAGOp0Ohw4dQmxsLGJjY3Hp0qVyj3NxcUH//v1FAGjbti2f/onICMMAGaloBbnyqFQqrF+/nqvJWUhxcTGSkpJEx7/jx4/DYDCUe6y3t7f48u/Xrx9cXV0tXC0R2RKGATJS2ZaBHj16YOfOnejQoYOZK7Jvubm5OHTokHj3f+XKlXKPq1OnDgYMGCAm/vH29rZwpURkyxgGyMj9woCjoyMWLlyIuXPnck0CMyguLkZCQoJ493/ixAkUFxeXe2z79u1Fx7/HH38cderUsXC1RFRb8G9zMnKvMNChQwfs2rVLzFBIpvH333/j4MGDiI2NxYEDB3D16tVyj3N1dcXAgQPF03+bNm0sXCkR1VYMA2REp9OVu3/69Ol4++23+fRpAgaDAfHx8eLd/8mTJ1HRrOAdO3YU7/4fe+wxuLi4WLhaIrIHDANkJCMjw2i7RYsW+PDDDzFw4ECZKqodcnJycODAAWg0Ghw4cEBM7Xy3evXq4YknnhBP/y1btrRwpURkjxgGyEjZ99MjR47Epk2buAJdNRgMBpw8eVK8+9dqtRU+/fv4+Igv/759+0KpVFq4WiKyd1y1kIxoNBrMnTsXY8eOxYwZM+Qux6ZcuXJFNP0fPHgQ169fL/c4Nzc3DBo0CIGBgQgMDOS0zkQkO4YBG3b9+nUkJCRAq9UiKSkJ165dg16vR2FhIZRKJVQqFRo2bIhu3brBz88Pvr6+aNCggdxl1xpFRUX49ddfRQBISEio8NiHH35YvPvv06cPnJ2dLVgpEdG9MQzYEIPBAI1Gg5iYGJw8efJf7/cro02bNujZsydGjx6NoKAgODo6mqHS2uvSpUvi3f+hQ4cq7HBZv359DBo0SDT/P/TQQ5YtlIioChgGbEBOTg62bt2KqKgoZGZmmuy8LVu2RHh4OEJDQzmLYAXu3LmD48ePi3f/p06dqvDY7t27i6f/3r17cx4GIrIZDANWLCsrC/PmzcMnn3yCwsJCo5+pVCrR/O/v7w8/Pz94eXlBpVJBqVSisLAQer0emZmZ0Gq14p+kpCTo9XqjcymVSgQHB2Pp0qXw8vKy5C1apezsbNH0/9133+HmzZvlHtegQQMMHjwYgYGBCAgIQNOmTS1cKRGRaTAMWCFJkrBlyxbMmjULeXl5Yr9CoUBgYCCmTp2KwMDAaj15FhUVITY2Fhs2bEBsbKxRD3c3NzesXr0aoaGhdrWQTWFhIY4dOyam/D1z5kyFx/r5+Ymn/549e/Lpn4hqBYYBK5OVlYWwsDAcPHhQ7PP09ERoaCjCw8NNOutceno6Nm3ahK1btyI3N1fsHzx4MKKjo2t1K0FWVpbR0/+tW7fKPc7T0xMBAQEICgpCQEAAmjRpYuFKiYjMj2HAisTExGDKlClGrQEhISFYvXo16tevb7br6nQ6zJo1C9u2bRP73NzcEBUVhZdeesls17WkgoICHD16VLz7/+2338o9TqFQoEePHuLp39/fn50siajWYxiwEmvWrMHMmTPFdvPmzREdHY3AwECL1aDRaBAWFoaLFy8a1TV9+nSL1WBKFy5cEF/+33//fYXLMzdu3BgBAQEIDAzE4MGD2ZmSiOwOw4AVWLJkCRYuXCi2x40bh7Vr15q1NaAiOp0O06ZNw86dO43qmz9/vsVrqSq9Xo+ffvpJvPs/f/58ucc5ODigV69eYsU/Pz8/ODg4WLhaIiLrwTAgs7tbBCIjI7FgwQJZO/BJkoTFixcjIiJC7DNlC0FOTg4mT56My5cv45NPPkHz5s2rfa709HTx7v+HH36ocNXFJk2aiC//QYMGoWHDhtW+JhFRbcMwIKOYmBiMGTNGbK9cuRKzZs2SsSJjq1atwuzZs8V2TExMjfsQXLhwAQEBAUhJSQEA/N///R8++OCDSv/+P//8gyNHjojm/9TU1HKPc3BwwCOPPCLe/Xfr1o1P/0REFWAYkElWVhZ8fHxEZ8GIiAgsWrRI5qr+LSIiApGRkQBKOhUmJydXe5RBcnIyAgICcOnSJbHP29u7wi/0UqmpqeLL/8cff/zXPAmlmjZtKp7+n3zySU69TERUSQwDMpAkCQEBATh06BCAkj4C27dvt8qx/ZIkYfz48aIPQUBAADQaTZVrPXbsGJ566qlyp+9NTU2Ft7e32M7Pz8cPP/wg3v2np6eXe05HR0c8+uijIgB07drVKv8dEhFZO4YBGURHR2PSpEkASkYNJCcny9JZsLJ0Oh18fHzEKIPo6GhMnDix0r//7bffYsSIEfjnn3/K/fnatWsxePBg8eV/5MgRFBQUlHtss2bNjJ7+rfnfGxGRrWAYsLC7Xw/s378fQUFBMld1fxqNBkOGDAFQtdcFO3fuREhICAwGQ4XH1KlTp8Kg4OTkhL59+4p3/z4+Pnz6JyIyMYYBCxs7dix27doFoGRCoa1bt8pcUeWFhIRg+/btAICXX37ZaPhheVavXl2tDpEtWrQQX/4DBw6Eu7t7teolIqLKYRiwoKtXr6JFixYoLCyEp6cnMjIyzNLMHRUVhSlTpgAAPvroI4waNcok59XpdFCr1cjNzYVSqUR2dna5E/RIkoS33noL7777bqXP3a1bN4wZMwaBgYHo1KkTn/6JiCyIY60saNu2bWL1wdDQULO9705KShKfu3XrZrLzenh4ICQkBEDJ4j5lpy8uZTAY0K9fvyoFAQDo168fZs2ahc6dOzMIEBFZGFsGLMRgMECtViMzMxMKhQKpqalQq9VmuVbv3r1x4sQJuLq6Ii8vz6Tj69PT00XP/1atWiEtLc1o7v7FixdXa4hku3bt8Pvvv5usTiIiqjy2DFiIRqNBZmYmACAwMNBsQaC4uFgswdulSxeTT7SjVqvFegkXLlxAbGys0c/bt29frfOmpKQgIyOjxvUREVHVMQxYSExMjPg8depUs10nJSVFTMlrylcEZZWtf/fu3UY/Cw4OhlarxYoVK/Daa6+hX79+lX4dUnbZZiIishwnuQuwFydPngQAqFQqs65EaK7+AmUFBQVBpVJBr9cjLi7uXz/39fWFr6+v2JYkCRcuXEBSUhISExORlJSEpKQk/Pnnn0a/V1xcbJZ6iYjo3hgGLOD69euiCbxbt25wcjLfv3ZLhAEnJyd07doVJ06cQHp6OnQ6HTw8PCo8XqFQoHXr1mjdujWef/55sf/vv//GqVOnkJSUBBcXFzERExERWRbDgAUkJCSIz35+fma9VmkYcHBwwMMPP2y26/j5+eHEiRMASu5v4MCBVT5Ho0aN8MQTT+CJJ54wdXlERFQF7DNgAVqtVnz29/c367VKw0Dbtm3h6upqtuuUvY+y90dERLaHYcACyjbdm7Nl4PLly7hy5QoA870iKFX2PhITE816LSIiMi+GAQu4du2a+Fzd5X8rwxL9BUqVvY/c3FyzXouIiMyLYcAC9Hq9+KxSqcx2HUuGgbL3Ufb+iIjI9jAMWEDpFMQAoFQqzXYdS4YBFxcX8bmi5YaJiMg2MAxYQNkAUDYYmFppGHjggQfw4IMPmu06gHEAKBsMiIjI9jAMWIAlmtTz8/ORmpoKwPytAoDlXn0QEZH5MQxYQMOGDcXnrKwss1zj9OnTYgY/S4SBsvfh6elp9usREZH5MAxYQNkvZ3ONybdkfwHA+D66d+9u9usREZH5MAxYQNkx+fHx8Wa5hqXDQNn7MPesikREZF4MAxZQdtEec7cMuLq6ol27dma5Rlll76Ps/RERke1hGLCABg0aoE2bNgBKvrSLiopMev7i4mKcOXMGANClSxc4OJj3P2tRURFOnToFAFCr1fdcpIiIiKwfw4CF9OzZE0BJL/zY2FiTnjslJQX5+fkALPOKQKPRiNEEPXr0MPv1iIjIvBgGLGT06NHi84YNG0x67g4dOkCSJEiShKioKJOeuzxl6x8zZozZr0dEROalkCRJkrsIe2AwGKBWq5GZmQmFQoHU1FSo1Wq5y6qy9PR0eHt7AwBatWqFtLQ0ODo6ylwVERHVBFsGLMTR0RHh4eEAAEmSsGnTJpkrqp6yLQ/h4eEMAkREtQBbBiwoJycHzZs3R2FhITw9PZGRkYH69evLXVal6XQ6qNVq5ObmQqlUIjs7G40bN5a7LCIiqiG2DFhQ48aNERwcDKBk2d+ZM2fKXFHVzJw5UyxXHBwczCBARFRLsGXAwrKysuDj44O8vDwAwP79+xEUFCRzVfe3f/9+DB06FADg5uaGs2fPokWLFjJXRUREpsCWAQvz8vLCqlWrxHZYWBhu3LghY0X3p9PpMGnSJLG9evVqBgEiolqEYUAGEydOxODBgwEAFy9exLRp02CtDTSSJGHatGm4ePEiACAgIAChoaEyV0VERKbEMCADhUKB6OhouLm5AQB27NiBxYsXy1xV+SIjI7Fz504AJa8HoqOjoVAoZK6KiIhMiWFAJl5eXti4caPYjoiIMHp9YA1WrVqFyMhIsR0VFcXXA0REtRDDgIxGjx6NNWvWiO3Zs2cjMjJS9lcGkiQhIiICs2fPFvvef/99vPTSSzJWRURE5sLRBFZg6dKlWLBggdgeO3Ys1q5dK8sCQDqdDtOmTROvBgBgyZIlmD9/vsVrISIiy2AYsBJr1qwxmnegWbNmiI6OtuiwQ41Gg7CwMNFZsLSu6dOnW6wGIiKyPL4msBIzZszA7t27RafCixcvYsiQIQgNDYVOpzPrtXU6HUJCQjBkyBARBNzd3RETE8MgQERkB9gyYGWysrIQFhaGgwcPin2enp4ICQlBeHi4SRc3Sk9PR1RUFLZt2yZmFgRKhg9GR0ezsyARkZ1gGLBCkiRh69atmDlzppipECgZkhgQEICpU6ciKCgITk5OVT53UVERNBoNNmzYgNjYWKOfubu7Y/Xq1QgJCeHwQSIiO8IwYMWysrIwf/587N27F4WFhUY/U6lU6Nq1K/z8/ODv7w8/Pz94eXlBpVLBxcUFBQUF0Ov1yMrKglarRXx8PLRaLU6dOgW9Xm90LqVSieDgYCxbtoytAUREdohhwAbk5ORg27Zt2LhxIzIzM0123latWiE8PBwhISFcdIiIyI4xDNgQg8GA2NhY7N69G3FxcUhPT6/yOdRqNXr06IExY8YgMDAQjo6OZqiUiIhsCcOADdPpdEhISIBWq0ViYiJyc3Oh1+tRUFAAFxcXqFQqeHp6onv37vDz84Ovr68scxcQEZF1YxggIiKyc5xngIiIyM4xDBAREdk5hgEiIiI7xzBARERk5xgGiIiI7BzDABERkZ1jGCAiIrJzDANERER2jmGAiIjIzjEMEBER2TmGASIiIjvHMEBERGTnGAaIiIjsHMMAERGRnWMYICIisnMMA0RERHaOYYCIiMjOMQwQERHZOYYBIiIiO8cwQEREZOcYBoiIiOwcwwAREZGdYxggIiKycwwDREREdo5hgIiIyM4xDBAREdk5hgEiIiI7xzBARERk5xgGiIiI7BzDABERkZ1jGCAiIrJzDANERER2jmGAiIjIzjEMEBER2TmGASIiIjvHMEBERGTnGAaIiIjsHMMAERGRnWMYICIisnMMA0RERHaOYYCIiMjOMQwQERHZOYYBIiIiO8cwQEREZOcYBoiIiOwcwwAREZGdYxggIiKycwwDREREdo5hgIiIyM4xDBAREdk5hgEiIiI7xzBARERk5xgGiIiI7BzDABERkZ1jGCAiIrJzDANERER2jmGAiIjIzjEMEBER2TmGASIiIjvHMEBERGTn/h/gQlrMx87NYwAAAABJRU5ErkJggg==",
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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -179,7 +175,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 7,
+   "execution_count": 6,
    "id": "98c7ed1c-d89a-44bb-83eb-12da28758f18",
    "metadata": {},
    "outputs": [
@@ -189,7 +185,7 @@
        "True"
       ]
      },
-     "execution_count": 7,
+     "execution_count": 6,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -226,7 +222,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 8,
+   "execution_count": 7,
    "id": "fd429978-6f58-4e36-9ab1-fc4a5c31b057",
    "metadata": {},
    "outputs": [
@@ -260,13 +256,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 9,
+   "execution_count": 8,
    "id": "b30ded65-600d-4f95-bbec-94a6645392e1",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -278,6 +274,7 @@
    "source": [
     "# This graph represents the target domain, the United States.\n",
     "USA = Variable(\"USA\")\n",
+    "\n",
     "observational_study_in_usa_graph = NxMixedGraph.from_edges(\n",
     "    directed=[\n",
     "        (Vaccinated, Masked),\n",
@@ -291,13 +288,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 10,
+   "execution_count": 9,
    "id": "c19f4bf6-b46a-4ea5-a2c6-438233f7d8c2",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -307,8 +304,8 @@
     }
    ],
    "source": [
-    "# Here is Australia.\n",
     "Australia = Variable(\"AUS\")\n",
+    "\n",
     "vaccine_efficacy_in_australia_graph = NxMixedGraph.from_edges(\n",
     "    directed=[\n",
     "        (Vaccinated, Masked),\n",
@@ -334,12 +331,12 @@
    "id": "fa14d5dd-8bcb-4392-b002-18a7a201ee96",
    "metadata": {},
    "source": [
-    "We can estimate the effect using the conditional counterfactual transportability algorithm in `Y0`:"
+    "We can estimate the effect using the conditional counterfactual transportability algorithm in $Y_0$:"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 11,
+   "execution_count": 10,
    "id": "dae6ae64-f778-4caa-8afa-84c0a2d6191b",
    "metadata": {},
    "outputs": [
@@ -400,7 +397,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 12,
+   "execution_count": 11,
    "id": "28eb7555-b07a-4cba-9885-5220fb42e8c2",
    "metadata": {},
    "outputs": [
@@ -410,7 +407,7 @@
        "True"
       ]
      },
-     "execution_count": 12,
+     "execution_count": 11,
      "metadata": {},
      "output_type": "execute_result"
     }
@@ -445,13 +442,13 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 13,
+   "execution_count": 12,
    "id": "6c9fb9a4-cf60-49e9-9261-c9fd74ed942c",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -461,12 +458,13 @@
     }
    ],
    "source": [
-    "# Declare variables\n",
     "Therapy = Variable(\"T\")\n",
     "Distance = Variable(\"D\")\n",
     "CD4 = Variable(\"C\")\n",
     "AIDS = Variable(\"A\")\n",
-    "nigeria_population = Variable(r\"\\pi_{Nigeria}\")\n",
+    "\n",
+    "nigeria_population = Variable(r\"\\pi^{\\text{Nigeria}}\")\n",
+    "\n",
     "nigeria_graph = NxMixedGraph.from_edges(\n",
     "    directed=[\n",
     "        (Distance, Therapy),\n",
@@ -486,7 +484,7 @@
    "id": "e5a7b1d7-1bb0-41a7-a0ba-a5e83b4fd9cf",
    "metadata": {},
    "source": [
-    "Earlier in the AIDS epidemic, rumors existed in some parts of Africa that ARTs and not the HIV virus were responsible for causing AIDS, and that raised concerns at the time that some people may not take ARTs even were they made available. Assuming that a program to provide ARTs to the public would only work if people are willing to take the drugs, suppose we want to know what receiving ARTs ($t_0$) does to AIDS-related mortality in a target population $\\pi^\\ast$, but specifically for people who choose to receive generic ARTs. So, we care about the difference in mortality for a person who chooses to take ARTs, compared to those for a person required to take them. Thus, we wish to know $E[A_{t_0} | t_0] - E[A_t | t_0]$. The first quantity is $E[A | t_0] = E[A, t_0] / E[t_0]$, and the second is $E[A_t | t_0] = E[A_t, t_0] / E[t_0]$. Let's estimate $E[A_t, t_0]$ using `transport_unconditional_counterfactual_query()`, introducing our data sets first."
+    "Earlier in the AIDS epidemic, rumors existed in some parts of Africa that ARTs and not the HIV virus were responsible for causing AIDS, and that raised concerns at the time that some people may not take ARTs even were they made available. Assuming that a program to provide ARTs to the public would only work if people are willing to take the drugs, suppose we want to know what receiving ARTs ($t_0$) does to AIDS-related mortality in a target population $\\pi^\\ast$, but specifically for people who choose to receive generic ARTs. So, we care about the difference in mortality for a person who chooses to take ARTs, compared to those for a person required to take them. Thus, we wish to know $E[A_{t_0} | t_0] - E[A_t | t_0]$. The first quantity is $E[A | t_0] = \\frac{E[A, t_0]}{E[t_0]}$, and the second is $E[A_t | t_0] = \\frac{E[A_t, t_0]}{E[t_0]}$. Let's estimate $E[A_t, t_0]$ using `transport_unconditional_counterfactual_query()`, introducing our data sets first."
    ]
   },
   {
@@ -496,18 +494,18 @@
    "source": [
     "### Data\n",
     "\n",
-    "Here we imagine we have a study in a different country (Ghana) than the target country (Nigeria) in which ARTs were delivered to participants' villages directly, removing the bi-directed edge between $D$ and $T$. But the study population, $\\pi^{Ghana}$, has a different distribution of distance to the nearest clinic than our population of interest $\\pi^{Nigeria}$:\n"
+    "Here we imagine we have a study in a different country (Ghana) than the target country (Nigeria) in which ARTs were delivered to participants' villages directly, removing the bi-directed edge between $D$ and $T$. But the study population, $\\pi^{\\text{Ghana}}$, has a different distribution of distance to the nearest clinic than our population of interest $\\pi^{\\text{Nigeria}}$:\n"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 14,
+   "execution_count": 13,
    "id": "527393de-74bf-4988-81ea-48d728a80abc",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -517,7 +515,7 @@
     }
    ],
    "source": [
-    "ghana_population = Variable(r\"\\pi_{Ghana}\")\n",
+    "ghana_population = Variable(r\"\\pi^{\\text{Ghana}}\")\n",
     "ghana_with_delivery_graph = NxMixedGraph.from_edges(\n",
     "    directed=[\n",
     "        (Therapy, AIDS),\n",
@@ -539,18 +537,18 @@
    "id": "72417bc1-30c6-4b1a-9395-b30fa5855dda",
    "metadata": {},
    "source": [
-    "The second set of data is an observational study in a high-risk population of injecting drug users, $\\pi^{Drug}$, for which the overall CD4 count distribution is also different than the target population $\\pi^{Nigeria}$ but the distribution of distances to the nearest clinic is the same:"
+    "The second set of data is an observational study in a high-risk population of injecting drug users, $\\pi^{\\text{Drug}}$, for which the overall CD4 count distribution is also different than the target population $\\pi^{\\text{Nigeria}}$ but the distribution of distances to the nearest clinic is the same:"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 15,
+   "execution_count": 14,
    "id": "0c8a8b98-d1d5-486a-8938-2694e697dcc7",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -561,7 +559,7 @@
    ],
    "source": [
     "# From [correa22a]_, Figure 3b.\n",
-    "drug_user_population = Variable(r\"\\pi_{Drug}\")\n",
+    "drug_user_population = Variable(r\"\\pi^{\\text{Drug}}\")\n",
     "drug_user_graph = NxMixedGraph.from_edges(\n",
     "    directed=[\n",
     "        (Distance, Therapy),\n",
@@ -587,7 +585,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 16,
+   "execution_count": 15,
    "id": "db5547eb-7a56-40b0-b19f-ff6215fdffd7",
    "metadata": {},
    "outputs": [],
@@ -623,7 +621,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 17,
+   "execution_count": 16,
    "id": "9d5a28b7-a2db-4bf8-ae38-73221e840edc",
    "metadata": {},
    "outputs": [
@@ -637,10 +635,10 @@
     {
      "data": {
       "text/latex": [
-       "$\\sum\\limits_{C, D} P^{\\pi_{Drug}}(D) P^{\\pi_{Drug}}(T | D) P^{\\pi_{Ghana}}(A | T, D, C) P^{\\pi_{Ghana}}(C | T)$"
+       "$\\sum\\limits_{C, D} P^{\\pi^{\\text{Drug}}}(D) P^{\\pi^{\\text{Drug}}}(T | D) P^{\\pi^{\\text{Ghana}}}(A | C, D, T) P^{\\pi^{\\text{Ghana}}}(C | T)$"
       ],
       "text/plain": [
-       "Sum[C, D](P(D) * P(T | D) * P(A | T, D, C) * P(C | T))"
+       "Sum[C, D](P(D) * P(T | D) * P(A | C, D, T) * P(C | T))"
       ]
      },
      "metadata": {},
@@ -662,7 +660,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 18,
+   "execution_count": 17,
    "id": "d841be71-c1fc-40a5-9def-4b17e7a430b2",
    "metadata": {},
    "outputs": [],
@@ -678,7 +676,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 19,
+   "execution_count": 18,
    "id": "d2bbc37c-ba01-49c1-a303-4010fcf712a0",
    "metadata": {},
    "outputs": [
@@ -692,10 +690,10 @@
     {
      "data": {
       "text/latex": [
-       "$\\sum\\limits_{C, D} P^{\\pi_{Drug}}(D) P^{\\pi_{Drug}}(T | D) P^{\\pi_{Ghana}}(A | T, D, C) P^{\\pi_{Ghana}}(C | T)$"
+       "$\\sum\\limits_{C, D} P^{\\pi^{\\text{Drug}}}(D) P^{\\pi^{\\text{Drug}}}(T | D) P^{\\pi^{\\text{Ghana}}}(A | C, D, T) P^{\\pi^{\\text{Ghana}}}(C | T)$"
       ],
       "text/plain": [
-       "Sum[C, D](P(D) * P(T | D) * P(A | T, D, C) * P(C | T))"
+       "Sum[C, D](P(D) * P(T | D) * P(A | C, D, T) * P(C | T))"
       ]
      },
      "metadata": {},
@@ -725,7 +723,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 20,
+   "execution_count": 19,
    "id": "4087fd18-a10c-4d7b-bd09-8f2905d948c7",
    "metadata": {},
    "outputs": [],
@@ -741,7 +739,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 21,
+   "execution_count": 20,
    "id": "a58e43ea-a611-40e1-9e69-5e8cf06ae0e2",
    "metadata": {},
    "outputs": [
@@ -755,10 +753,10 @@
     {
      "data": {
       "text/latex": [
-       "$\\frac{\\sum\\limits_{C, D} P^{\\pi_{Drug}}(D) P^{\\pi_{Drug}}(T | D) P^{\\pi_{Ghana}}(A | T, D, C) P^{\\pi_{Ghana}}(C | T)}{\\sum\\limits_{A, C, D} P^{\\pi_{Drug}}(D) P^{\\pi_{Drug}}(T | D) P^{\\pi_{Ghana}}(A | T, D, C) P^{\\pi_{Ghana}}(C | T)}$"
+       "$\\frac{\\sum\\limits_{C, D} P^{\\pi^{\\text{Drug}}}(D) P^{\\pi^{\\text{Drug}}}(T | D) P^{\\pi^{\\text{Ghana}}}(A | C, D, T) P^{\\pi^{\\text{Ghana}}}(C | T)}{\\sum\\limits_{A, C, D} P^{\\pi^{\\text{Drug}}}(D) P^{\\pi^{\\text{Drug}}}(T | D) P^{\\pi^{\\text{Ghana}}}(A | C, D, T) P^{\\pi^{\\text{Ghana}}}(C | T)}$"
       ],
       "text/plain": [
-       "((Sum[C, D](P(D) * P(T | D) * P(A | T, D, C) * P(C | T)) / Sum[A, C, D](P(D) * P(T | D) * P(A | T, D, C) * P(C | T))))"
+       "((Sum[C, D](P(D) * P(T | D) * P(A | C, D, T) * P(C | T)) / Sum[A, C, D](P(D) * P(T | D) * P(A | C, D, T) * P(C | T))))"
       ]
      },
      "metadata": {},
@@ -783,18 +781,18 @@
    "id": "4c455030-5185-40f0-843b-0c57dc4ff302",
    "metadata": {},
    "source": [
-    "       Recent years have seen an increase in heat domes in North America and other extremes in hot and cold weather. One theory for their increase in frequency is that as the temperature of the earth rises and the polar ice caps melt the temperature differential between the poles and the equator drops, leading to a slowing-down of the jet stream that causes it to meander like a river does on a shallow grade compared to a steep slope. That in turn can create \"heat domes\" during the summer -- places where the jet stream deviates to the north, along with associated fires and droughts. It can also create copious amounts of snowfall and frigid winters elsewhere for the same reason. Let's consider a scenario in which the United States, concerned about heat domes and their effects on reservoir levels in the future, is considering imposing a carbon tax in order to both directly affect temperatures and also subsidize cities such as New York to conduct cloud seeding to keep reservoirs filled during emergencies. A graph might look like the following:"
+    "Recent years have seen an increase in heat domes in North America and other extremes in hot and cold weather. One theory for their increase in frequency is that as the temperature of the earth rises and the polar ice caps melt the temperature differential between the poles and the equator drops, leading to a slowing-down of the jet stream that causes it to meander like a river does on a shallow grade compared to a steep slope. That in turn can create \"heat domes\" during the summer -- places where the jet stream deviates to the north, along with associated fires and droughts. It can also create copious amounts of snowfall and frigid winters elsewhere for the same reason. Let's consider a scenario in which the United States, concerned about heat domes and their effects on reservoir levels in the future, is considering imposing a carbon tax in order to both directly affect temperatures and also subsidize cities such as New York to conduct cloud seeding to keep reservoirs filled during emergencies. A graph might look like the following:"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 46,
+   "execution_count": 21,
    "id": "a7068607-2108-49d0-8b97-d85313dde0ba",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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",
+      "image/png": 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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -805,7 +803,7 @@
    ],
    "source": [
     "# Based on [correa20a]_, Figure 1.\n",
-    "USA_population = Variable(r\"\\pi_{USA}\")\n",
+    "USA_population = Variable(r\"\\pi^{\\text{USA}}\")\n",
     "Temperature = Variable(\"T\")\n",
     "JetStream = Variable(\"J\")\n",
     "Rainfall = Variable(\"R\")\n",
@@ -831,7 +829,7 @@
    "id": "c75cc09a-be6d-46ab-a579-e13454d74add",
    "metadata": {},
    "source": [
-    "       In this graph, rising temperature affects the speed of the jet stream. It also indirectly increases precipitation by evaporating water on land and directly decreases reservoir volumes by evaporating reservoir water. Natural phenomena such as El Niño or the 18-year period of nutation of the planet on its axis may affect both temperature and the jet stream velocity, hence the bidirected edge between J and T. Rainfall of course directly affects reservoir volumes, and other factors such as land usage affect both precipitation and reservoir volumes. "
+    "In this graph, rising temperature affects the speed of the jet stream. It also indirectly increases precipitation by evaporating water on land and directly decreases reservoir volumes by evaporating reservoir water. Natural phenomena such as El Niño or the 18-year period of nutation of the planet on its axis may affect both temperature and the jet stream velocity, hence the bidirected edge between $J$ and $T$. Rainfall of course directly affects reservoir volumes, and other factors such as land usage affect both precipitation and reservoir volumes. "
    ]
   },
   {
@@ -839,18 +837,18 @@
    "id": "66bb265d-34e9-48c2-a319-a04478b4ec77",
    "metadata": {},
    "source": [
-    "       Suppose that Washington DC is contemplating the effect of a carbon tax, which for the purpose of simplicity we represent as a policy directly affecting temperature. The tax will also pay for a program to seed clouds whenever the jet stream meanders north during the summer and creates heat domes over the water supplies of large urban centers. The policy would therefore look as follows:"
+    "Suppose that Washington DC is contemplating the effect of a carbon tax, which for the purpose of simplicity we represent as a policy directly affecting temperature. The tax will also pay for a program to seed clouds whenever the jet stream meanders north during the summer and creates heat domes over the water supplies of large urban centers. The policy would therefore look as follows:"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 47,
+   "execution_count": 22,
    "id": "abf97ef7-5f9c-4a90-ae57-3ccb0d074943",
    "metadata": {},
    "outputs": [
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -860,7 +858,6 @@
     }
    ],
    "source": [
-    "USA_population = Variable(r\"\\pi_{USA}\")\n",
     "USA_graph_under_policy = NxMixedGraph.from_edges(\n",
     "    directed=[\n",
     "        (Temperature, JetStream),\n",
@@ -880,28 +877,29 @@
    "id": "b53c173e-b63d-4a1c-a781-27abd2216e63",
    "metadata": {},
    "source": [
-    "       To do its forecasting, the United States government only has observational data from the US. Suppose that China, however, has already conducted experiments with using a carbon tax to pay for cloud seeding -- except that the timing of cloud seeding was not a function of the jet stream velocity but rather the occurrence of holidays and other special events that can be assumed to be independent of fluctuations in the jet stream. Furthermore, cities in China are more densely populated than in the United States, so we represent a different baseline distribution of reservoir volumes with a transportability node:"
+    "To do its forecasting, the United States government only has observational data from the US. Suppose that China, however, has already conducted experiments with using a carbon tax to pay for cloud seeding -- except that the timing of cloud seeding was not a function of the jet stream velocity but rather the occurrence of holidays and other special events that can be assumed to be independent of fluctuations in the jet stream. Furthermore, cities in China are more densely populated than in the United States, so we represent a different baseline distribution of reservoir volumes with a transportability node:"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 53,
+   "execution_count": 23,
    "id": "6f9057cb-4e1e-42ce-9865-b33639621d04",
    "metadata": {},
    "outputs": [
     {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
+     "ename": "NameError",
+     "evalue": "name 'ReservoirVolume' is not defined",
+     "output_type": "error",
+     "traceback": [
+      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
+      "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
+      "Cell \u001b[0;32mIn[23], line 6\u001b[0m\n\u001b[1;32m      1\u001b[0m China_population \u001b[38;5;241m=\u001b[39m Variable(\u001b[38;5;124mr\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124m\\\u001b[39m\u001b[38;5;124mpi^\u001b[39m\u001b[38;5;124m{\u001b[39m\u001b[38;5;124m\\\u001b[39m\u001b[38;5;124mtext\u001b[39m\u001b[38;5;132;01m{China}\u001b[39;00m\u001b[38;5;124m}\u001b[39m\u001b[38;5;124m\"\u001b[39m)\n\u001b[1;32m      2\u001b[0m China_graph \u001b[38;5;241m=\u001b[39m NxMixedGraph\u001b[38;5;241m.\u001b[39mfrom_edges(\n\u001b[1;32m      3\u001b[0m     directed\u001b[38;5;241m=\u001b[39m[\n\u001b[1;32m      4\u001b[0m         (Temperature, JetStream),\n\u001b[1;32m      5\u001b[0m         (Temperature, Rainfall),\n\u001b[0;32m----> 6\u001b[0m         (Temperature, \u001b[43mReservoirVolume\u001b[49m),\n\u001b[1;32m      7\u001b[0m         (Rainfall, ReservoirVolume),\n\u001b[1;32m      8\u001b[0m         (transport_variable(WaterSupply), WaterSupply),\n\u001b[1;32m      9\u001b[0m     ],\n\u001b[1;32m     10\u001b[0m     undirected\u001b[38;5;241m=\u001b[39m[],\n\u001b[1;32m     11\u001b[0m )\n\u001b[1;32m     12\u001b[0m China_domain_data \u001b[38;5;241m=\u001b[39m (\n\u001b[1;32m     13\u001b[0m     {Temperature, Rainfall},\n\u001b[1;32m     14\u001b[0m     PP[China_population](Temperature, JetStream, Rainfall, WaterSupply),\n\u001b[1;32m     15\u001b[0m )\n\u001b[1;32m     16\u001b[0m China_topo \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mlist\u001b[39m(China_graph\u001b[38;5;241m.\u001b[39mtopological_sort())\n",
+      "\u001b[0;31mNameError\u001b[0m: name 'ReservoirVolume' is not defined"
+     ]
     }
    ],
    "source": [
-    "China_population = Variable(r\"\\pi_{China}\")\n",
+    "China_population = Variable(r\"\\pi^{\\text{China}}\")\n",
     "China_graph = NxMixedGraph.from_edges(\n",
     "    directed=[\n",
     "        (Temperature, JetStream),\n",
@@ -925,28 +923,17 @@
    "id": "2ce6f76d-fdfa-4c1a-969f-82945fa5e2ac",
    "metadata": {},
    "source": [
-    "       Finally, we have data from a cloud seeding experiment in South Africa in which clouds were seeded whenever cities experienced heat domes, but which did not involve the imposition of a carbon tax. South Africa is in the Southern Hemisphere, so the jet stream will move differently than in the case of the United States and China and we attach a transportability node to the `JetStream` variable. Additionally, the absence of a carbon tax implies no intervention in the temperatures, so the bidirectional edge between `Temperature` and `JetStream` remains. "
+    "Finally, we have data from a cloud seeding experiment in South Africa in which clouds were seeded whenever cities experienced heat domes, but which did not involve the imposition of a carbon tax. South Africa is in the Southern Hemisphere, so the jet stream will move differently than in the case of the United States and China and we attach a transportability node to the `JetStream` variable. Additionally, the absence of a carbon tax implies no intervention in the temperatures, so the bidirectional edge between `Temperature` and `JetStream` remains. "
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 54,
+   "execution_count": null,
    "id": "13f071a1-9ef1-4046-878e-d575d98ffa0b",
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "outputs": [],
    "source": [
-    "South_Africa_population = Variable(r\"\\pi_{SA}\")\n",
+    "South_Africa_population = Variable(r\"\\pi^{\\text{SA}}\")\n",
     "South_Africa_graph = NxMixedGraph.from_edges(\n",
     "    directed=[\n",
     "        (Temperature, JetStream),\n",
@@ -971,12 +958,12 @@
    "id": "5a1fe0a5-81be-49e2-abb2-11916118ca9f",
    "metadata": {},
    "source": [
-    "       Suppose the United States would like to know the amount of water that New York City would have had in its reservoirs this year were it to have implemented a carbon tax in 2019 and begun cloud seeding to compensate for the effects of heat domes. We frame an unconditional counterfactual query:"
+    "Suppose the United States would like to know the amount of water that New York City would have had in its reservoirs this year were it to have implemented a carbon tax in 2019 and begun cloud seeding to compensate for the effects of heat domes. We frame an unconditional counterfactual query:"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 55,
+   "execution_count": null,
    "id": "faa48491-79fb-4537-99bb-ceead4c4768a",
    "metadata": {},
    "outputs": [],
@@ -998,8 +985,12 @@
     "        South_Africa_topo,\n",
     "    ),\n",
     "]\n",
-    "effect_of_do_tax_domain_data = [USA_domain_data, China_domain_data, South_Africa_domain_data]\n",
-    "\n",
+    "effect_of_do_tax_domain_data = [\n",
+    "    USA_domain_data, \n",
+    "    China_domain_data, \n",
+    "    South_Africa_domain_data,\n",
+    "]\n",
+    "# FIXME it doesn't make sense that there are parallel lists. Let's use a data structure instead.\n",
     "\n",
     "do_tax_expr, do_tax_event = transport_unconditional_counterfactual_query(\n",
     "    event=effect_of_do_tax_query,\n",
@@ -1011,41 +1002,20 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 56,
+   "execution_count": null,
    "id": "5a52e227-82ed-47e4-b218-8b2add2f1104",
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/latex": [
-       "$\\sum\\limits_{J, R} P^{\\pi_{China}}(J | T) P^{\\pi_{SA}}(W | T, J, R) \\sum\\limits_{W} P^{\\pi_{USA}}(R | T, J)$"
-      ],
-      "text/plain": [
-       "Sum[J, R](P(J | T) * P(W | T, J, R) * Sum[W](P(R | T, J)))"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "outputs": [],
    "source": [
     "display(do_tax_expr)"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 60,
+   "execution_count": null,
    "id": "fec156b3-8f8d-48c0-9102-4147aae799e5",
    "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Sum[J, R](P(J | T) * P(W | T, J, R) * Sum[W](P(R | T, J)))\n"
-     ]
-    }
-   ],
+   "outputs": [],
    "source": [
     "# I need to check this calculation by hand in any case, but I'm not sure I like the fact that we're summing over W here.\n",
     "print(str(do_tax_expr))"
@@ -1053,20 +1023,10 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 59,
+   "execution_count": null,
    "id": "fe1c719b-0282-442f-b238-fbcd6e4db263",
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "[(W @ -T, -W)]"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "outputs": [],
    "source": [
     "display(do_tax_event)"
    ]
@@ -1076,26 +1036,15 @@
    "id": "a5203bfc-0c1b-43d8-a229-049784552010",
    "metadata": {},
    "source": [
-    "       We can see that the probability of the water supply having value `-W` in 2024, given the carbon tax adjusted the temperature to `-T` in 2019, is identifiable and is a composite of experimental results from China and South Africa and observational data from the United States. Note that without the data from China and South Africa, the query is not identifiable:"
+    "We can see that the probability of the water supply having value `-W` in 2024, given the carbon tax adjusted the temperature to `-T` in 2019, is identifiable and is a composite of experimental results from China and South Africa and observational data from the United States. Note that without the data from China and South Africa, the query is not identifiable:"
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 62,
+   "execution_count": null,
    "id": "37c44937-aa4b-44af-a67f-18c4b8bef902",
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "text/plain": [
-       "True"
-      ]
-     },
-     "execution_count": 62,
-     "metadata": {},
-     "output_type": "execute_result"
-    }
-   ],
+   "outputs": [],
    "source": [
     "effect_of_do_tax_query = [(WaterSupply @ -Temperature, -WaterSupply)]\n",
     "\n",
@@ -1131,43 +1080,26 @@
    "id": "25aae618-4841-4cd3-bb8d-c97ab048ec77",
    "metadata": {},
    "source": [
-    "The following exercise is from a tutorial at Pacific Northwest National Laboratory that demonstrates that detailed validation of user inputs makes using the software easy. We've deliberately included some typos in the problem solution and show the software catching them. Feel free to experiment with the input parameters and generate other errors!"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "id": "9f988e38-7a70-45c5-b7f6-d35b502695db",
-   "metadata": {},
-   "source": [
-    "1. Construct a graph with the following edges:\n",
-    "X1 -> Z,\n",
-    "R -> Z,\n",
-    "Z -> W,\n",
-    "W -> Y,\n",
-    "W <-> Z\n",
-    "\n",
-    "2. Consider you have available observational data from the target domain, and an experiment from Domain 1 in which W is fixed to be only a function of Z (breaking the bidirected edge between W and Z), and R is drawn from a different population than in the target domain.\n",
+    "The following exercise is from a tutorial at Pacific Northwest National Laboratory that demonstrates that detailed validation of user inputs makes using the software easy. We've deliberately included some typos in the problem solution and show the software catching them. Feel free to experiment with the input parameters and generate other errors!\n",
     "\n",
+    "1. Construct a graph with the following edges:\n",
+    "   ```\n",
+    "   X1 -> Z,\n",
+    "   R -> Z,\n",
+    "   Z -> W,\n",
+    "   W -> Y,\n",
+    "   W <-> Z\t\n",
+    "   ```\n",
+    "2. Consider you have available observational data from the target domain, and an experiment from Domain 1 in which $W$ is fixed to be only a function of $Z$ (breaking the bidirected edge between $W$ and $Z$), and $R$ is drawn from a different population than in the target domain.\n",
     "3. Estimate $P(Y_{X1},W_{R}|X1)$ with the values ${-Y,-W,-X}$ respectively."
    ]
   },
   {
    "cell_type": "code",
-   "execution_count": 21,
+   "execution_count": null,
    "id": "2f344daa-1446-4844-8dc8-a682486ec2ac",
    "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "image/png": 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\n",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "outputs": [],
    "source": [
     "example_3_target_domain_graph = NxMixedGraph.from_edges(\n",
     "    directed=[\n",
@@ -1183,7 +1115,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 22,
+   "execution_count": null,
    "id": "be995896-111d-4731-900d-91ac2fcba9e8",
    "metadata": {},
    "outputs": [],
@@ -1203,31 +1135,10 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 23,
+   "execution_count": null,
    "id": "2286a2b3-58ab-4da7-a377-58eabf5e6830",
    "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "In _validate_transport_conditional_counterfactual_query_input: one of the input conditioned variables is not in the target domain graph. Check your inputs. \n",
-      "[(I, -I), (V, -V)]\n"
-     ]
-    },
-    {
-     "data": {
-      "text/latex": [
-       "$\\frac{\\sum\\limits_{M} P^{USA}(I | V, M) P^{USA}(M | V) P^{USA}(V)}{\\sum\\limits_{I, M} P^{USA}(I | V, M) P^{USA}(M | V) P^{USA}(V)}$"
-      ],
-      "text/plain": [
-       "((Sum[M](P(I | V, M) * P(M | V) * P(V)) / Sum[I, M](P(I | V, M) * P(M | V) * P(V))))"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
+   "outputs": [],
    "source": [
     "example_3_outcomes = [(Y @ -X1, -Y), (W @ -R, -W)]\n",
     "example_3_conditions = [(X, -X)]  ## NOTE: Should be X1\n",
@@ -1260,18 +1171,10 @@
     "        domain_data=domain_data,\n",
     "    )\n",
     "except ValueError as e:\n",
-    "    print(e)\n",
+    "    print(\"error\", e)\n",
     "print(str(result_event))\n",
     "display(result_expr)"
    ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "id": "70ea41ab-dcec-4081-b36a-21ae820ca9cb",
-   "metadata": {},
-   "outputs": [],
-   "source": []
   }
  ],
  "metadata": {
@@ -1290,7 +1193,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.10.12"
+   "version": "3.11.9"
   }
  },
  "nbformat": 4,