diff --git a/binding.ipynb b/biophys-intro/binding.ipynb
similarity index 88%
rename from binding.ipynb
rename to biophys-intro/binding.ipynb
index fa01fdf..c881753 100644
--- a/binding.ipynb
+++ b/biophys-intro/binding.ipynb
@@ -2,7 +2,7 @@
  "cells": [
   {
    "cell_type": "code",
-   "execution_count": 17,
+   "execution_count": 2,
    "metadata": {},
    "outputs": [],
    "source": [
@@ -20,7 +20,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 18,
+   "execution_count": 3,
    "metadata": {},
    "outputs": [
     {
@@ -103,7 +103,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 19,
+   "execution_count": 4,
    "metadata": {},
    "outputs": [
     {
@@ -215,7 +215,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 20,
+   "execution_count": 5,
    "metadata": {},
    "outputs": [
     {
@@ -272,7 +272,7 @@
   },
   {
    "cell_type": "code",
-   "execution_count": 37,
+   "execution_count": 10,
    "metadata": {},
    "outputs": [
     {
@@ -297,7 +297,7 @@
     },
     {
      "data": {
-      "image/png": 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",
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",
       "text/plain": [
        "<Figure size 640x480 with 1 Axes>"
       ]
@@ -360,6 +360,8 @@
     "\n",
     "nu = nu1 + nu2\n",
     "\n",
+    "P = nu / n\n",
+    "\n",
     "plt.title(\"Bound oxygen\")\n",
     "plt.xlabel(\"[L]\")\n",
     "plt.xscale(\"log\")\n",
@@ -382,15 +384,9 @@
     "plt.title(\"Hill Plot\")\n",
     "plt.xlabel(\"[L]\")\n",
     "plt.xscale('log')\n",
-    "plt.ylabel(\"$P_n / 1-P_n$\")\n",
+    "plt.ylabel(\"$\\\\frac{P}{1-P} = \\\\frac{\\\\nu}{n-\\\\nu}$\")\n",
     "plt.yscale('log')\n",
-    "plt.plot(L, (P1[n] + P2[n]) / (1 - (P1[n] + P2[n])), linestyle=\"dashed\", label=\"tot,n\")\n",
-    "plt.plot(L, (Qtot / Q1) * P1[n] / (1 - (Qtot / Q1) * P1[n]), label=\"deoxy,n\")\n",
-    "plt.plot(L, (Qtot / (Q2 * K0)) * P2[n] / (1 - (Qtot / (Q2 * K0)) * P2[n]), label=\"oxy,n\")\n",
-    "plt.plot(L, (1 - (P1[0] + P2[0])) /  (P1[0] + P2[0]), linestyle=\"dashed\", label=\"tot,nonzero\")\n",
-    "plt.plot(L, (1 - ((Qtot / Q1) * P1[0])) /  ((Qtot / Q1) * P1[0]), label=\"1,nonzero\")\n",
-    "plt.plot(L, (1 - ((Qtot / (Q2 * K0)) * P2[0])) /  ((Qtot / (Q2 * K0)) * P2[0]), label=\"2,nonzero\")\n",
-    "plt.legend()\n",
+    "plt.plot(L, P / (1-P))\n",
     "plt.show()\n",
     "\n",
     "\n",
diff --git a/biophys-intro/lipid-phases.ipynb b/biophys-intro/lipid-phases.ipynb
new file mode 100644
index 0000000..b817c9a
--- /dev/null
+++ b/biophys-intro/lipid-phases.ipynb
@@ -0,0 +1,100 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import numpy as np\n",
+    "import matplotlib.pyplot as plt\n",
+    "from numpy import exp\n",
+    "\n",
+    "R = 8.314"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Ideal mixture"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 14,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "xA = np.linspace(0.2,0.8,4)\n",
+    "xB = 1 - xA\n",
+    "HA0 = 10e3\n",
+    "HB0 = 15e3\n",
+    "T = np.linspace(280,370)\n",
+    "TmA = 300\n",
+    "TmB = 350\n",
+    "\n",
+    "A = HA0 / R * (1/T - 1/TmA)\n",
+    "B = HB0 / R * (1/T - 1/TmB)\n",
+    "\n",
+    "xAg = (exp(-B) - 1) / (exp(-B) - exp(-A))\n",
+    "xAf = exp(-A) * (exp(-B) - 1) / (exp(-B) - exp(-A))\n",
+    "xBg = (exp(-A) - 1) / (exp(-A) - exp(-B))\n",
+    "xBf = (exp(-B) * (exp(-A) - 1)) / (exp(-A)- exp(-B))\n",
+    "\n",
+    "plt.xlabel(\"Fraction\")\n",
+    "plt.ylabel(\"T [K]\")\n",
+    "plt.xlim(0, 1)\n",
+    "plt.ylim(TmA, TmB)\n",
+    "plt.plot(xAg, T, label=\"A / gel\")\n",
+    "plt.plot(xAf, T, label=\"A / fluid\")\n",
+    "plt.plot(xBg, T, label=\"B / gel\")\n",
+    "plt.plot(xBf, T, label=\"B / fluid\")\n",
+    "for x in xB:\n",
+    "    plt.plot((xBg - x) / (xBg - xBf), T, linestyle=\"dashed\", label=f\"fluid if $x_B = {round(x,2)}$\")\n",
+    "plt.legend()\n",
+    "plt.show()"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "venv",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.8.10"
+  },
+  "orig_nbformat": 4
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/biophys-intro/output1.png b/biophys-intro/output1.png
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diff --git a/biophys-intro/output2.png b/biophys-intro/output2.png
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diff --git a/biophys-intro/output3.png b/biophys-intro/output3.png
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diff --git a/biophys-intro/unfolding.ipynb b/biophys-intro/unfolding.ipynb
new file mode 100644
index 0000000..9d556f7
--- /dev/null
+++ b/biophys-intro/unfolding.ipynb
@@ -0,0 +1,3383 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import numpy as np\n",
+    "import matplotlib.pyplot as plt\n",
+    "from scipy.integrate import simpson\n",
+    "from scipy.misc import derivative\n",
+    "from math import log, exp\n",
+    "\n",
+    "R = 8.314\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## One Step unfolding"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "Predicted Tm2: \n",
+      "222.72727272727272\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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96Q3Evdcb1l+2x9VL52Srm2dy6slCpUTMO8Nle+36qqysxP/+9z/Mnz+/2vJhw4bB0tISq1evxrRp02o8T6PRoKysTPshkJKSAjc3N+16Nzc3XLt2rcbzpk2bhkceeeSONd3+wV7fGhMSEpCbm1vrB1xkZCR69epVr1o3bdqEF154ocY+MjMzkZycXOv+o6OjMXbsWHzxxReYMWMG5syZgy1btiAjIwOPPvooZsyYUeM5t5/VsrCwgJOTE/z9/et6a+r1Xnh6eqKyshLFxcV1zqV25swZvPjii1izZg1++eUXfPrpp3jooYfqdQwBwM/PD6ampjh06BC8vLwAVM3fduLECcycORO+vr5QqVQ4ceKE9kxUXl4eLly4gP79+2v3071791pHMd3pvQZ0f4zOnj0Ld3d3ODg41Pr6RPSP3NJcbL28FVYqK4zzHwcAGOgxEB3sO6C/e3+M8xunDTUAUF5agovHd6Aoegs8Mg/AW1yH982VEpASvQ/ufp2buRVVDDrkHDhwAB9//DFOnjyJ1NRUbNiwAePGjdPJa0mS1KBLRnLZsmUL0tPT0aVLF5w9e7bauv79+2P58uU4dOgQOnXqhPvvvx/Ozs5ISEjQXmZp6M3hGnO5qj41Tps2DSdPnoRCoahxBqOiogJnz57F9OnT7/pa169fR0REBMLDw2usu9lp9vYP0IKCAgghtMOgAeDVV1+FjY0Nrl+/3qSdfevzXuzYsQN2dnaYPn065s+fDyEEDhw4gMGDByMgIACFhYUoLS3F7NmzAQAdO3bEqlWrGlSHlZUVpk+fjjlz5sDe3h6enp746KOPUFxcjGeffRY2NjaYOnWqdr2TkxPefvttKBSKah2Fhw8fjgULFiAnJwetW7fWLq/rvQaa5xj9/fffGDZsWIPeE6KWRK1R43DKYWyM34i9yXtRoamAu7U7xviNgUJSwFRpinWj12m3z8tMQfyhP6C4uAvtCo6js1SqXVcmVIiz7I4Sn2Hw7j0BoR5+cjQJgIGHnKKiInTr1g3PPPMMJkyYIHc5emH58uUAgKFDh9a5zYMPPogtW7Zg6dKlKCwshIeHB4YNG4aVK1fC3d0dQNXZl1v/1X/t2rVq/TF0XeOZM2cQGRmJgIAAWFtbV1sXExODsrIy7QffnWrdvHkzQkNDa/0XfFRUFJydnWucaTp37hxCQkK0j6Ojo/HGG28AqDojEBgY2JDm3lF93otr165h8+bNmDNnDkJCQmBqaoqwsDBMmjRJW1/nzp21Q6ojIyMRGBjY4GP4wQcfQKPR4Mknn0RBQQF69uyJnTt3asPK0qVLMW3aNDz44IOwtbXF3LlzkZycXO0SU2BgIHr06IHffvsNL774onZ5Xe81oPtjVFpaio0bN2LHjh11tp2opUrMT8TG+I0IvxSO68XXtcs72nfEOP9xUAu1to9N0sXTSDn6B1ol/Yl25bEIlm6MAJWATLTCpdZ9oeo0Cu3DHkQ3Gzs5mlOTzrtANxMAYsOGDQ16TkNGV7U0FRUVwt/fX1y9elUUFBSIdu3aiczMTLnLqtWdah09erT48MMPG7S///73v+Kdd97RPvb29tZ+/+6774offvihaQpvIt9++61o166dKC8vF5mZmaJr164iPj5e58ewsLBQ2NnZ1Xg/tmzZIjp27CjU6vqNsND1MVq2bJkYOnToHffX0n/fqeV64+83tCOk7lt9n1hybImIzYoVQlT9bY0+uksc/OYlcWVRJyHetq32dfGdIHHo+9dF7Ml9Ql1Z2ax1c3QV3RMTExN8+umnGDRoEDQaDebOnVvrqBx9cKda+/btqz3jUV/R0dHaUT7Jycnw8PCotk7fLnucOXMGo0aNQnBwMIQQ+Oijj+DnV3V6uCmPYVRUFOLi4hAaGoq8vDy88847AICxY8dW2+6BBx7AxYsXce3atWrvXV10fYxUKhW++uqrBu2fyNgIIXAq4xQ2XNyAyR0no7191cjICQETkF2ajfH+4zHQYyDUpeWIPRyOY+fegX/uQXTBPwNBKoQScebdUOQzHJ69H4K/VwDq7nGoHyQh9GByiSYgSdJd++SUlZVVuxlYfn4+PDw8kJeXV+MafmlpKS5fvgwfH586h8QS6YN+/frh119/rVeguBdRUVF47rnncP78eZiamiI4OBhLly5t0st3cuHvOxmr68XXEX4pHJviN+FK/hUAwOMdHseCXgu02+RkpOLiwd+hurgd7YsiYCn98zlZAAtctO0NqcMD8O8zHjat9OMfu/n5+bCzs6v18/tWLepMzpIlS7B48WK5yyBqUvU9Y3KvunfvjpMnT+r8dYjo3lRqKrEveR82xG/AwWsHoRFVkxhbmFhguPdwjPIdhdSEc0g68jtsE3ehXdk5hN7SvyYNDkhyHAjrbmPQLnQ4epgabvBvUSFnwYIFmDVrlvbxzTM5RIYsISFB7hKISM+8d+w97eSYPZx6YKzfGLQrsEJx1Ha02v0E2mqS0PbmxhJwSemLDNfBcAqZAJ8uYXCpx8THhqBFhRwzM7NmnWGbiIhIl/LK8rD98nb8fe1vfDnoSygVSpgoTDC101Rkl2QhsNAedjEH4X1sDpyQpX1ehVAiziwQhd7D4dXnIfh5t4d8A711x6BDTmFhIeLj47WPL1++jFOnTmnv80FERGRs1Bo1jqUdw8aLG7E7aTfKNeUAgKOpRxFs3x3nDm1Gh7O70C73AOxRoH1ekTBHjHUYNO1Gol3fCQhs4yRXE5qNQYeciIgIDBo0SPv45qWoqVOnaucBIiIiMgbXi69j3YV12BS/CalFqdrlfra+CFF7omzNh6jMP45gqUS7Lgc2uNiqH0y6jEXHPqMRYmklR+myMeiQM3DgQBjJ4DAiIqI7ul58Hd+e/hYAYK2yRqjkhQGpGRiZcAgW0r6qjSQgA/a47DgINkHjERA6HKEqU/mKlplBhxwiIiJjI4RAdGY0NsRvgIWJBeaGzAUAtK20wQCTdgjMSMXk3DhYI6bqCRJwTXLBVZchaBPyEPyCBsBRUf85D40ZQw4REZEeyCzJxJZLW7AxfiMu5V0CAFgozdH7YiEcr/yFdmUx+I/0z9WLBIU30t2GwiVsIrw7hsDNSEZENSWGHCIiIhkdTT2KX2N/xd9X/0alqAQAmEKJ3kXA1PxEBJd+AQUASECcSXtkewyHe5+J8A3oCl9ZK9d/DDlERETNTAgBSZIAAJHpkdibvBcAEFAm4fGCTAwvLIaNENAICTGmgcj3Hgnvvo+gg1eAnGUbHIYcIiKiZlBUUYSdV3Ziw8UNeKrLU+iocceVv1ejy9UtmGqVj/EFhfCrqIRGSIgz64J839Hw7T8JXVx5S5TGYsghIiLSESEEoq5HYUP8Buy8shMllVXDu3/eNgsr0q7A9cZ2fUslnDcPxIlOo+E74DF0cmawaQoMOURERE1MrVFjxbkV2Bi/EYn5idrl3uUVGF9YiNGFRTfO2ASiyP9B+A2YhI4MNk2OIYd0Zs2aNZg9ezZsbGywdu1adOvWTe6SiIh0RiM0UEhVI5xy0q5iU9T/kChyYKHRYERRMcYXFKJraQXizLogod2DkAY8jk4uDDa6xJBDOpGcnIynnnoKvXr1Qk5ODqZNm4YjR47IXRYRUZO7mHMRG+I3YFfCTiyQBsM5fgc6lZ3B61bmyFMoMLSwBImqzijwewDZ/R9HZ1cvuUtuMRhySCeOHj2KsrIyvPXWW6ioqMAff/wBtVoNpZI3qCIiw1dQXoDtl7fj97jfEZsbq12em/EfDC4vAiTAtdwb5r6jUTRgMjq7ectXbAvGkEM6ce3aNQBA27Zt0blzZ4wcOVLmioiI7l1KYQr+c/I/2HllB8pRAQAwEQIDi0swvqAQruUuOOb7DDwHPIkOXu1lrpYYckgnCgsLAQDW1tYyV1K7f//739iyZQuOHj0qdylEpOeEEKhUaxB9ZAfSI1dim10s1JIEv/JyjC8oQkixNYrdxsJ16JNwDegOf7kLJi2GnBbi6tWr+Pe//42//voLV69ehZ2dHbp164ZPP/0UgYGBTf56ugw5Tz/9NNzc3NCvXz+MGDHijtvu3LkTw4YNq7H89OnTCAoKws6dOxu9DyIyXkIIRKZHYfmJ75GbcR4fJl1FD6QDALLV1nArM4OV/RA4DX4CXl37ATdu7Ef6hSGnBbhy5QpCQkIwcOBArFq1Cm3btkVycjL++OMPmJmZ6eQ1dRVy1Go1tmzZgq1btyIwMBCpqanadV26dMGMGTMwY8YM7TJHR8da93P69GnMmjUL/fv3b/Q+iMj4lFSW4MeIX7Dx/E9IQ27VQiWgNMlEUaU5ztsPRs/QyWgXMhySkh+h+o5HqL6EACqK5XltleU9/Svhq6++gpWVFdauXQvFjQncvL290a9fv6aqsIbCwkKoVKo6Q1RSUhLeeust7NixA/n5+WjXrh2+/vpr9O3b9477PXz4MFQqFUJCQiBJEiwsLABU9QHKyspCv3794OLiUu05J0+exOuvv44TJ06gQ4cO+Pbbb3Hp0iUEBQXBwsKiXvsgIuMWee0yvjv4KU4VH0SxQg0AsNBoMLywGL0qPZDX8xU4DZiEHhY2MldKDcGQU18VxcD7rnffThfeSAFMrRr99JycHJSWliIpKQne3t533Pb999/H+++/f8dtYmJi4Ol553s7FBQU1HkWJzExEb169UL//v0RHh4Oe3t77Nu3D7a2tnfcJwCEh4dj9OjR2jlfboqKigIA9OjRo9ryuLg4DBo0CK+99hpWrFiBU6dOYdy4cQCArl271msfRGSccorKse3UFWQdXYNKzXocdlIDCsCtohKji5To3XYsOo15EeZtOOTbUDHktAAvv/wydu/eDV9fXwQHB2Pw4MGYMmUKOnXqVGPbadOm4ZFHHrnj/lxd7x72CgsL6ww506dPR1hYGH777TftsoCA+k06t2nTJnz22Wc1lkdGRsLDwwNt2rSptvyll17CuHHj8O677wIA/Pz8sGbNGkRHR8PS0rJe+yAi41FWqcbeuAysjvgTrVO2Y37ZYbhIOSiVJFwpckBfVQCG9/sX7Nrfz342RoAhp75UllVnVOR67XvQo0cPJCQk4ODBg9i1axfWrVuHTz/9FOvXr8fo0aOrbWtvbw97e/t7ej2g7pCTmJiI7du3a8+aNERsbCxSUlIwePDgGusiIyNrnIFJTEzEnj17EBkZWW25SqVCUFBQvfZBRIZPCIHIpFysj7yK3eeOw6H1SiRa58LbsQKO13JQZOYI0fM5fBn2NGDjLHe51IQYcupLku7pkpHclEolBgwYgAEDBmDRokXw9vbGr7/+WiPkNNXlqrpCzqlTp2BqalpryLhp/PjxMDMzw6VLl5CdnY21a9eiZ8+eCA8Px9ChQ2Fubl7jOZGRkXjuuedqvJaJiUmN0WNRUVGYOnVqvfZBRIYrKasY66OuYmPUNVzLuY7OTitR5p6MREmCUgh0FqYoevBT2AZNAUxM5S6XdIAhpwXSaDQoKyurddRQU16uqu2yj0qlQmVlJYqLi2tcLrrpzJkzePHFF7FmzRr88ssv+PTTT7F69Wps2rQJL7zwQo3tMzMzkZycXOMsjEKhgEajQXl5OUxMqn7Ut23bhri4uBohq659EJFhySuuwNboVKyPvIqIxBwAQHvrPXD324lLJhIACf0qJMwOegV+PZ4DbgzGIOPEkGPknnzySXTq1An3338/nJ2dkZCQoD1TM3PmzBrbN+XlKhubmqMQevXqBTs7O0yfPh3z58+HEAIHDhzA4MGDERAQgMLCQpSWlmL27NkAgI4dO2LVqlW4fv06IiIiEB4eXmOfNy9H3R5QgoODoVKpMGfOHMyePRtnz57F9OnTAaBGyKlrH0Sk/8orNdh/IQMboq7ir5jrKFdrAABmUgVecVmF71pdACDBvVKDN30n4L7+CwGlSt6iqVkw5Bi5Hj164Pfff8fSpUtRWFgIDw8PDBs2DCtXroS7u7vOXreu0VVt2rTB5s2bMWfOHISEhMDU1BRhYWGYNGkSACA6OhqdO3fWznEVGRmJwMBAbN68GaGhoXBwcKixz6ioKDg7O9c4w+Tq6ooffvgBCxYswI8//ojQ0FBMmTIFK1asqDFEvK59EJH+OpeSh3URV7Hp1DXkFFdol7d3tsGUThImJrwJVfopJJm0QRv7ALwy/kdY2rrJWDE1N0kIIeQuQi75+fmws7NDXl5ejeHLpaWluHz5Mnx8fGrtA0J102g0UCqVeOGFF/Ddd9816Lnfffcdli5dirNnzyI/Px/3338/1q9fj9dffx19+/bF3LlzdVQ1tWT8fTccOUXl2HjqGtZFXEVMar52uYO1GcYFuWJ8DzeY5f4J983/gnlJDmDeCppx30DRYZSMVVNTu9Pn9614JoeazP/+9z+4uLige/fuABp3p+AzZ85g1KhRCA4OhhACH330Efz8/NC3b1/t2R4ialkq1Rr8fTET604mV7scZapUYGgnZzzc0x39/B1golQg4sTXePbsMoTaKLG0dRBMHlkFRas7D5Qg48WQQ01m/fr1uHDhgvZmeyEhIQ3ex5kzZ/Drr7/WuBcOz+AQtTwJGYVYd/Iq1kdeRXp+mXZ5Z1dbTAx2x9ggN7S2+mdUVPTJ7/HS2WUoVihQYOWAsod/h4kVp2VpyRhyqMksWrQIgwcPxpIlSzB58mSMGTOmwfu4du0aPDw8dFAdERmCwrJKbD2Tgt8iruLkjdFRANDaUoVx3d0wMdgDnVxrXp5IOPc7pp/+HMVKBXopbPCfR3bC3IxTMLR0DDnUZIKCgpCUlITs7OxGB5WEhIQmroqI9J1GI3DscjbWnUzG9ug0lFRUzR2lkICB7Z0wMdgdgzs6w9Sk9uHe+eln8MrRhcgzUaKrZIEvJ25nwCEADDnUxKysrGBlZbg3TSSi5pOeX4p1Ecn4LeIqkrL/mQDZ19EKE4M9MKGHG5xt79wRXF2aj3lbpiDJRAlXocBXEzbC0txO16WTgWDIISKiZqPWCOy/cB2rjydjT9x1qDVVA3ytzUwwultbPBzsgR6erWpMwluX81teQoSiAuZCwuf3fwV7G94Ggv7BkENERDp3LbcEa08kY11EMlLzSrXLe3q1xmOhnhgV6AJL0wZ+JMVuRqez4fhNZYorI95BR8/+TVw1GTqGHCIi0okKtQa7Y69jzYkk7L+QgZt3ZWttqcKEHu54LMQDAc6N7DtTmAFsngkA8On1EnyCpzdN0WRUGHKIiKhJJWYVYc2JZPx+8ioyCv4Z+t3Hrw0eC/XE8M7OMDNR3tNrbN/6IlzV+ejm1BkYuOBeSyYjxZBDRET3rKxSjV3n0rH6eBIOX8rSLnewNsPEnu54tKcHvB2aZlBCxsUdWFx8HkWuLlgR/DJ6mpg1yX7J+DDkEBFRoyVmFeHXY0lYd/IqsovKAQCSBPQPcMSkUA8M7ugMlbIJZ/rWqPHZgTdQZKJAoNIGPTo/1nT7JqPDkENERA1SqdZgT9x1/HwsCQcuZGiXt7Uzx8SeHnikpzvcW1vq5LVPH/wAm00qIAmBN/p/CIXUhAGKjA5DDhER1cv1glKsPZ6M1ceTkHJjhNTNszZPhHlhUHtHmDTlWZvbVZRg2flfAVMFxtp1RBfPfrp7LTIKDDlGasCAAfDz88OPP/5YbfmyZcswd+5c5OfnQ6Go+mP09NNPw83NDf369cOIESPuuN+dO3di2LBhOqubiPSLEAJHErLwy9Ek7DyXhsob97WxtzLFxJ7umBzqBc82ujlrc7vTBz/AYVMFTATw4qCPmuU1ybAx5BghIQSioqLwyCOP1FgXERGBoKAgbcBRq9XYsmULtm7disDAQKSmpmq37dKlC2bMmIEZM2ZolzVmZnEiMjx5JRX44+RV/HIsEZcyirTLg71a44kwT4zs0hbmqnsbIdUgFaX4Jv53wFSB0a07w72VT/O9NhkshhwjdPHiRRQUFCA4OLjGuoiICAwaNEj7+PDhw1CpVAgJCYEkSbCwsABQNVFmVlYW+vXrBxcXl2arnYjkFX01Dz8fTcSm09dQWqEBAFiZKjGuuxueCPNCx7Y1J8dsDuLkStyfn4vE1q3xfP/3ZamBDA9DjhE6efIklEolunXrVm15SUkJYmJiMHv2bO2y8PBwjB49usYt1KOiogAAPXr00H3BRCSr8koNtkWnYsXhKzidnKtd3t7ZBk+EeWJcdzfYmKvkK7CiFNKhz/FIQSEe7rcYita+8tVCBoUhp4GKK4rrXKdUKGGmNKvXtgpJAXMT87tua6lq+LXuyMhIqNVqWFrW/txbg8umTZvw2Wef1boPDw8PtGnTpsGvT0SG4Xp+KX4+loRfjyUhs7Dqpn2mSgVGBrrgiTAv9PRqXe85pHQqahVQkArYukHR40m5qyEDwpDTQL1+7VXnun5u/bBsyDLt44G/DURJZUmt2/Z07okVI1ZoH4/4YwRyynJqbBc9NbrBNUZGRmL8+PFYuHBhteVr1qzBl19+iU6dOgEAYmNjkZKSgsGDB9e6D57FITI+QghEJedi5aEr2Badqu1I7Gxrhid6eWFSL084WOvRzfUqy7Ak8nN0srbCA/e9BhPe+I8agCHHCEVGRmLx4sUICgqqtnzZsmXo2rUrlMqqzoLh4eEYOnQozM3Na93Hc889V2P5mDFj4OPjg2PHjiEnJwerVq3Ce++9h1OnTmHevHnVOikTkf4oq1Rj65lUrDx8BWeu5mmX9/Rqjal9vDGii0vT3rSviZw7/Al+tVBAYW6PoID74SV3QWRQGHIa6Njjx+pcp1RUH2mw75F9dW57+w2sdjy0457quikhIQG5ubm1noWJjIxEr17/nInatGkTXnjhhRrbZWZmIjk5udZ9REdHY+zYsfjiiy8wY8YMzJkzB1u2bEFGRgYeffRRhhwiPZOeX4pfjibi1+NJyCysuiOxqYkCY7q54qk+3ujiZidzhXdQWYZvz68GTCWMsusAL/sAuSsiA8OQ00AN6SOjq23v5OTJk1AoFDXO4lRUVODs2bOYPr1qpt7r168jIiIC4eHhNfYRGRkJoGan44KCAggh8Oyzz2qXvfrqq7CxscH169dhayvPqAsiqk4IgcikHKw8nIjtt1yScrE1x5O9vfBYiAfa6NMlqTrEHvkM+0wlKITAC/3/LXc5ZIAYcoxMZGQkAgICYG1tXW15TEwMysrKtMFl8+bNCA0NhYODQ419REVFwdnZGa6urtWWnzt3DiEhIdrH0dHReOONNwAAZ8+eRWBgYFM3h4gaoEJdNUpq+cHL1S5JhXrbY2ofbwzr3MTzSOlSZTm+jfsZMJUwwrYdfNp0kLsiMkAMOUZmyZIlWLJkSY3l3bp1gxBC+3jTpk0YM2ZMrfuYN28e5s2bV2N5dHQ0unbtqn189epVuLu7a9cx5BDJI6+kAmuOJ2Hl4StIvTHdgqmJAuOCXDG1jzc6u+rxJak6nD/6OfaYSpCEwIs8i0ONxJDTQvXt2xeTJk1q0HOio6O1I7GSk5Ph4eFRbR2neyBqXolZRVhx6Ap+i0hGcbkaAOBgbYopvb0xuZenQVySqpW6At/GrgJMgeG2AfB16CR3RWSgJHHrP+9bmPz8fNjZ2SEvL69Gf5LS0lJcvnwZPj4+tY4+IiLjYUi/70IIRCTm4Ie/E7ArJh03/4K3d7bBs/18MKaba/NOt6ALEStw4q95+LaNAxaM+w3+jl3kroj0zJ0+v2/FMzlERAagQq3B9rNpWP53Ak7f0t9mYHtHPNvXB339HfTjxn33qrIMOPAJQkrLEBL4CsCAQ/eAIYeISI/llVRg7YkkrDx0BSm39Ld5qIcbnrnPBwHONjJX2LTEyZ8g5V8FbFyB4KflLocMHEMOEZEeSsktwY8HL2P18SQU3dLf5skwb0wO07O7EjeVihLMPv0FPFvb4eleL8FOpd+XDkn/MeQQEemRC+kF+G5/Ajaduqa9v007Z2s819cXY4KMoL/NHUTuW4Q/zRRQmtriofYjYXhjwkjfMOQQEcnsZmfib/ddwu6469rlYb72eHGAHwa2czSO/jZ3oClIw4dXwgFTE4xv0x0erf3kLomMAEPOXbTgwWdELYZcv+cajcBfsen4dv8lRCblAgAkCRjR2QUvDvBDkEcrWeqSQ/iOVxBjagIrIeGl+5fKXQ4ZCYacOqhUKgBAcXExLCwsZK6GiHSpvLxqTqebk9fqWlmlGpuiUvDdgUu4lFEEADBVKvBQsDue7+cDX0fru+zBuBQmHsQX+ecAEyVe9JsABytHuUsiI8GQUwelUolWrVrh+vWqU8eWlpZGf7qYqCXSaDTIyMiApaUlTEx0+yexoLQCvx5Lwo+HLiM9vwwAYGNugifDvPDUfd5wsmmBHW0ry/DJn68gU6WEp2SGyX3ekLsiMiIMOXfg4uICANqgQ0TGSaFQwNPTU2f/kMkqLMOPhy7jf0cSUVBaCaBqssxn+/rgsVAP2JirdPK6hiBz37+xU1kOQIFF/T+EqdJU7pLIiDDk3IEkSWjbti2cnJxQUVEhdzlEpCOmpqZQKJp+4sr0/FL890ACfj2WhJKKqmHg/k7WeKG/L8YFucHUxEAmy9SVy3/D4dDX2KAADvadhhDvwXJXREaGIacelEpls12rJyLDl5xdjG/3X8K6iKsoV2sAAIFudnj5fn8M7egMhYKXvpGfAvz+NCDUcOn8GB4e+J7cFZERYsghImoilzIKsWzvJWw8dQ3qG/e4CfFujZfvD0D/ACOZdqEJiOIcfL5uDLprCjHQuQvw4GdVw8qImhhDDhHRPYpJycfX++KxLTpVO2FmvwAHvDzIH71828hbnJ4RpQX4as1I/GhSBoWzAzYMWgJfU0u5yyIjxZBDRNRIUUk5+HpvPP6K/WdwwtBOznh5kD+6taB73NRXRc4VvLf+IfxhUjVkf0GnZ+Dr1V/mqsiYMeQQETVQxJVsfP7XRRyMzwRQdaXlwa6ueGmQHzq42MpcnX5KPvMr3jz2HiJNFVAIgfkdnsRjobPkLouMHEMOEVE9nUysCjd/X6wKNyYKCeO7u2H6QL8WdwO/esu6hN93vYaPSi+jxFQBSwF8HLYI/Ts8LHdl1AIYfMj5+uuv8fHHHyMtLQ3dunXDV199hdDQULnLIiIjcjIxB5//daFauJnY0wMzBvrBw579SWpQV0DE74F0ZjUQswkaa0uUONijp2kbvDP8e3jYB8hdIbUQBh1y1q5di1mzZuHbb79Fr1698Pnnn2P48OE4f/48nJyc5C6PiAxcZFIOPv/rIg5cyABQFW4eDnbHS4P8GW5uUVmUiaSkv3Hx6mFEpUfgWGk6HsrPxxP5BQCA8c59YNPpfgzv/iIUUgu/NxA1K0kY8AyUvXr1QkhICP7zn/8AqLo9u4eHB1555RXMnz//rs/Pz8+HnZ0d8vLyYGvL6+jU8lRoKlBZWQahLgc0GghoIIQG4sb3lkpzmCiUgBAoqSxFcUUxAAEIAQFR9f0NtiZW2rvVFlcWo7CiSLv69m3tVNYwV5oBECiuLEVeef4t+4T2/wDQWmULSxNz7bZZZbmoGsJ027ZCwN7UDtYqyxs1lOJ6adaN/d6sQ6Pdto2pHexMbQAIlKjLkFJ8XbttQkYBwk+n4GxKPiQIqIQVRrTzxuOhHrCzlpBUnFZVg7hZwT81tDGzg6NZawACZepyXCq8Vv09uOVPbhtTW7iY2wMAyjUViMtPqtF+ceM5bUxt4WHheOO4VeJsXsKN9bf898a+7U1t4GPpDADQCA1O5l7U7k27X6G58f7aIMCqrXb5sZw4aG68v0JdgbLyAhSXF6K4ogBOwgQDVPZAUQbK81PwYnk8MkQFUhUSym+790+nCjXWuo0GgiYDbbuCqCnV9/PbYM/klJeX4+TJk1iwYIF2mUKhwJAhQ3DkyJFan1NWVoaysjLt4/z8fJ3XSSSHwvJCHEs7hphrx3A5PQqZxenIrChCkajAynwBn9IioLIMP1iZYFmruv9A/JyShm5lVSNhfrO1wSdtWte57fep6Qgrrfr92mJjjXcd7Ovc9qu0DAwsKQEA7La2xBuODnVu+9H1TIwsKgYAHLK0wCznuidvXJyRhQmFVRNeRlqYY7pL3Wd052dlY3J+IQAgxswMT7k6V9/AHIBv1bevZefiufh8IB44Z6rCY25tUZcXcvLwSm4eAOCaygSPurvWue2UvHzMyc4FAGQrlZjs6VbnthPzC7AwKwcAUKRQYIqXe53bPlhYhCUZWQCACgl4xtuzzm2HFBXjs+uZ/9Tv7QFNHfes6VtcggHpVWe1TAHEeLmjWFl1ZsZCCPhLFuhk44lQz/sR2ukRwJITbZK8DDbkZGZmQq1Ww9m5+h8mZ2dnxMXF1fqcJUuWYPHixc1RHpFs/hP1H6yIXo5yUVlzpQSUFqYC5TemKbG89zOYUrWTwZL2/8pblt/+kSkplICiar4mSTKB6a3bitv2pDAFTKoWKpVmsNDU3O/N/5sozQFTBSBJMDExgY1Go10r3TiLcXNbU6UFYG5SNTRKqUArtUZ7nkO65QuQYGFiCViZ3XgNCQ7qumuwUlkBNlVnk0wUgPMdtrVRWQN2NgAAhSTBTY1aSQBamdoAre1ubAt43riT8q37u/m9g8oGuBFIJQC+6oo6t3VR2QKODto1/poSCOmfLcwlJSwVJrCUVOjU2gvwGg9YOgA2LviwIgtW1m3R1iUIrm3a81IU6R2DvVyVkpICNzc3HD58GL1799Yunzt3Lvbv349jx47VeE5tZ3I8PDx4uYqMR2U5/tw0FbMKz8K7vALdy8rQzrItnFr7w8HeH9Y2bvC07wBzyzaAiSnKJQUqlSaA0hQSFJAkCZKkqPqCAkqlCRSSEpCkqqssN9ZDkoziDrXx1wvx2Z8XsDU6FQCgvDFa6uVB/vB2sJK5OiKqi9FfrnJwcIBSqUR6enq15enp6drZw29nZmYGMzOz5iiPqFkVlBfAxsQS+ONZDIndht9VpmjX9QlI/WcDdnVf1jC98VUfhh9p/pGcXYwvdl/E+sir0IiqvDa2myteG9IOPgw3REbDYEOOqakpgoODsXv3bowbNw5AVcfj3bt34+WXX5a3OKJmdODqASw+vBj/te8Nv9hwSEpTtJ/4M9BuuNyl6Z3rBaX4ek88fj2ehIobl5GGdnLG7GHteBM/IiNksCEHAGbNmoWpU6eiZ8+eCA0Nxeeff46ioiI8/fTTcpdG1Czyy/Px1qG3kF2ajfCYn/E6AIz+ggHnNrnF5fjuQAJWHrqCkoqqji99/R0we1g7dPesuzM1ERk2gw45jz76KDIyMrBw4UKkpaUhKCgIO3bsqNEZmchYfXf6O2SXZsNXMsdL2UlAwHCg2yS5y9IbRWWVWHHoMr47kICC0qqO2N09W2HOsPbo41/3iC4iMg4G2/G4KfA+OWTIMksyMfz34SjXlOObtOvoW1IGTDsIuHSRuzTZlVWq8euxJPxnTzyyiqqGwHdwscG/hrXH4I5OkIyg0zRRS2b0HY+JWrpfY39FuaYcXVX2uK8kCfAf2uIDjkYjsCU6FR/vjENydtV9eLzbWOL1oe0wuqsrFAqGG6KWhCGHyACpNWpsiN8AAHg6M61q5FPwVFlrktvh+Ews2R6H6GtVN+JzsjHDzCHtMLGnO1RK3r+FqCViyCEyQBHpEcgsyYSdiRUGZCcB5nZAuxFylyWLuLR8fLA9DvvOV92J19rMBNMG+OKZvj6wNOWfOKKWjH8BiAxQD+ce+GbIN8g88V+oEFvV4VipkrusZpWSW4Klf17AH5FXIUTV5JlPhHnhlfv90caa98MiIoYcIoOkUqjQ160vsOH1qgXtR8pbUDPKK6nAN/suYcWhyyirrJra4IHAtpgzvD3vUkxE1TDkEBmqgjQg8wIACfC7X+5qdK68UoNVRxPx1Z6LyC2umosp1MceC0Z24L1uiKhWDDlEBmZpxFIAwCOwgTsAuAQCFq3kLEmnhBDYFZOOJdticSWrajbyACdrzB/ZAfd34HBwIqobQw6RASmpLMHa82tRXFmM+217VoUcr/vkLktnzqXk4d0tMTiakA0AcLQxw+yh7fBwsDtMOGKKiO6CIYfIgPx99W8UVxbD1coV3dLOVy306iNvUTpwvaAUn+68gN9OJkMIwNREgef7+WD6QH9Ym/HPFhHVD/9aEBmQHVd2AABGeA2FFLOkaqFrdxkralqlFWosP3gZy/bGo6i8ao6p0d1cMW9Ee7i3tpS5OiIyNAw5RAaisLwQB64eAACMtG0HaCqr7o9j5y5zZfdOCIHNZ1Lx4fY4XMutulNxkEcrvPVgJwR7sVMxETUOQw6RgdibvBdl6jJ423qjfXFh1ULnLoCBd7w9lZyLd7fE4GRiDgCgrZ055o3ogDHdOA0DEd0bhhwiA7H98nYAwEifkZDSz1UtdDbcuaoyCsrw4Y44/H7yKgDAQqXE9IF+eL6fLyxMlTJXR0TGgCGHyAAIIeBj54MzmWcw0mckcGZm1QrnzrLW1RgVag3+dyQRn/95AQVllQCACT3cMG9EBzjbmstcHREZE4YcIgMgSRLmhMzBzOCZUEkmQNrZqhUGNuv44fhMLNp8DhfSqy63BbrZYfHYzujBm/kRkQ4w5BAZEJVCVXWn4+JMQFIAjh3lLqleruWW4P2tsdganQoAaG2pwtwRHfBITw8o2e+GiHSEIYdIz53LOoe80jz0du1ddXff9Btncez9AFP9HlZdWqHGD38n4D9741FaoYFCAp4I88Ksoe3QytJU7vKIyMgx5BDpuS8jv8ThlMN4tfureL7r8wZzqWp3bDoWb45BUnbVVAyh3vZYNKYzOrnaylwZEbUUDDlEeuxk+kkcTjkMpaTEKN9RVQtvnsnR007HV3OKsSj8HP6KvQ4AcLY1wxujOmJMN1fOM0VEzYohh0hPVagrsORY1V2NJwRMgJu1W9UK7fDxQJkqq12FWoMf/r6ML3dfREmFGiqlhGf6+uCV+wM4FQMRyYJ/eYj01JdRX+J8znnYmtri5e4vVy2sLAMyL1R9r0eXq45fzsabG6O1o6Z6+djjvfFd4O9kI3NlRNSSMeQQ6aFfYn/BynMrAQCL+yyGvbl91YqM8/9M52DrJl+BN2QXlWPJtlisu3FDvzZWpnhjVEdM6OHGS1NEJDuGHCI9k1GcgS8ivwAATOs2DUO8hvyzUtsfJ1DW6Rw0GoF1J5OxZHsccosrAACTQj0xb0R7jpoiIr3BkEOkB4QQ0AgNlAolHC0d8WG/D3E+5zxe7Ppi9Q31YGRVXFo+3txwFhE35prq4GKD98YHciJNItI7DDlEMipXl+OvxL/w49kfMbnjZIwPGA8AGOQ5CIM8B9V8gowjq0or1Phy90X890ACKjUClqZKzBraDk/18YaJUtHs9RAR3Q1DDpEMzmefx8b4jdiSsAW5ZbkAgDXn12hDTq2EuCXkNO+ZnKMJWViwPhqXM4sAAMM7O+Pt0Z3h2sqiWesgImoIhhyiZrTuwjr8fuF3xGTFaJc5WTjh4XYPY1KHSXd+cmE6UJxVNZ2DU/NM55BXUoEPtsdi9fFkAFX3vHl3bBcM6+zSLK9PRHQvGhRywsPDG/wCQ4cOhYUF/7VHLZMQotooowNXDyAmKwYmChMM8hiE8f7j0ce1D5QK5d13drM/Tht/QKX736kdZ9OwcNNZXC8oAwBM7uWJeSM7wNZcpfPXJiJqCg0KOePGjWvQziVJwsWLF+Hr69ug5xEZuuSCZGyK34TNlzZj+fDlcLdxBwBM6TQFYW3DMMpnFFqbN7Cjbnp01f91fKnqen4pFm46hx3n0gAAvg5WWDIhEL182+j0dYmImlqDL1elpaXBycmpXtva2PBGYNRylFSW4K/Ev7AxfiOOpx3XLt+csBnTu00HAIS4hCDEJaRxL6C907FuOh0LIbD2RDLe2xaLgtJKmCgkTBvgh5fv94e5qh5nmoiI9EyDQs7UqVMbdOnpiSeegK0tJ+Mj45ZVkoWvT32N7Ze3o7Ci6o6/EiSEtQ3D+IDxuN/z/qZ5Ie3w8aafziExqwjz/jiDownZAICu7nb4YEJXTqZJRAatQSFnxYoV9dqusLAQ1tbW+OabbxpVFJG+q9RUwkRR9etjYWKBbZe3oaiiCG7WbhjnPw5j/cairXXbpnvB8iIg83zV9y5dm2y3Go3A/45cwYc7zqOkQg0LlRKzh7XD0/f5QKngHYuJyLA1+HLVZ599htdff73O9QUFBRgxYgQOHTp0T4UR6ZtKTSUOXjuIDRc34FrhNawbvQ6SJMFSZYl5IfPgZu2Gni49oZB0cM+YtLOA0ADWzoBt04SnpKxizPn9NI5drjp709u3DT58qCs821g2yf6JiOTW4JDzxhtvoE2bNpgyZUqNdUVFRRgxYgSysrKapDgifZCQm4CN8RsRfikcWaX//GxfyLmA9vbtAeDO97dpCqmnqv7v2v2ed6XRCPx8LBEfbI9DcXnV2Zs3RnXA5F5eUPDsDREZkQaHnFWrVuHJJ59Eq1atMGbMGO3yoqIiDB8+HBkZGdi/f3+TFkkkh2Opx/BV1Fc4nXFau8ze3B6jfUdjnP84+Lf2b75iUqKq/t826J52k5xdjLm/n8GRhKqw1svHHh8/3I1nb4jIKDU45Dz88MPIzc3FpEmTsHXrVgwcOFB7Bic9PR379+9H27ZN2BeBqJkIIVCqLoWFSVXn+kpNJU5nnIZSUqKfWz+MCxiH/u79oVLIcJ+YlFNV/2/kmRyNRuCX40lYsi1We/Zm/sgOeDKMZ2+IyHg16o7Hzz33HLKzszF27Fhs2rQJCxcuREpKCvbv3w9XV9emrpFIp9KK0hB+KRwb4zdiiOcQzOo5CwAQ1jYM80LmYbj3cDhaOspX4K2djl2DGvz0qznFmPfHGRyKrzp7E+ptj48ndoVXG6smLJKISP80elqHuXPnIjs7G4MHD4a3tzf27dsHd3f3pqyNSGfK1eXYm7wXG+I34EjKEWiEBgCwJ3kPXg9+HZIkQalQ4olOT8hcKYDU0zc6HbsANvWfTkEIgfWR1/B2+DkUllXCXKXAvBEdMLW3N8/eEFGL0OCQM2HChGqPVSoVHBwc8Nprr1Vbvn79+nurjEhHlp1ahl/jfkVeWZ52WU/nnhgfMB5DPIdUm4ZBLyQervq/Z696PyWnqBxvbIjG9rNVdy0O9mqNTyZ2g48Dz94QUcvR4JBjZ2dX7fGkSXeZVJBIZnllebAxtdEO7c4vz0deWR6cLJ0w1m8sxvmPg6etp8xV3kHijdsxePWt1+b7L2RgzrrTuF5QBhOFhNeHtsO0AX687w0RtTgNDjn1vSEgkZzUGjWOpR7DhvgN2JO0B98O/VY7ncKkDpPQ160verftXb+JMeWkrgSSjlV9733fHTctKVfjg+2x+OlIIgDAz9EKnz/aHYHudnd8HhGRsWp0nxwifXRzYsxNlzYhrShNu/xwymFtyPGy9YKXrZdcJTZM8jGgogiwsAccO9a5WfTVPMxcG4VLGUUAgKf6eGPeiA6wMNXzEEdEpEMMOWQUckpzMHv/bJxIO6FdZmtqiwd8H8A4/3HoaF93QNBrF3ZU/T9gKKCoeSdltUbgm33x+Pyvi6jUCDjZmOHjid0woJ2Mo8GIiPQEQw4ZJCEE0ovT4WJVNdqolVkrpBelQ4KE3q69Md5/PAZ5DoKZ0kzmSu/RzZDTbkSNVVdzivH62lM4cSUHADAq0AXvjQtEayvT5qyQiEhvMeSQQcksycTWhK3YcHEDMkoysOeRPTBTmkGSJLx737toa9W2aSfGlFPaWSDzAqBQAX7VZzLfHp2KeX+cQX5pJazNTLB4TGdM6OGmfyPDiIhkxJBDeu/WiTEPXD2ASlEJADBXmiMuOw7dHLsBAHo495CzzKZ3enXV/9uPBCxaAQBKK9R4Z0sMfj2WBAAI8miFLx/rzmkZiIhqwZBDeu3vq39j4eGFyCzJ1C7r6tAV4wLGYYT3CNiY2shYnQ5VlACn11R9H/Q4AOB8WgFeWR2JC+mFkCRg2gA/zBraDiqlDmY9JyIyAg0KObNmzar3tkuXLm1wMUSF5YUoKC/QXnJys3FDZkmmfBNjyuXUL0BxJmDnCeE3GL8cTcS7W2JQVqmBo40ZPnskCH0DHOSukohIrzUo5ERFRdVrO/YLoIYQQiAiPQIb4zdi15Vd6O/eH58O/BQA4Gvni+XDlqO7c3d5JsaUQ3kxcPBzAEBxyHTMWh2NHeeqhsMPbO+ITyZ2g4O1gXeoJiJqBg0KOXv37tVVHdQC3ToxZnJBsnZ5Yn4iKjWVMFFU/XiGtg2Vq0R5HPocyEtGmZUrRh3wxpX8NKiUEuaN6IBn7vPhvFNERPV0T31ycnNzsXz5csTGxgIAOnfujGeeeabG1A9Et1tybAnWnF+jnRjTSmWFEd4jMD5gPLo6dG25ZwOTj0Mc+AQSgNm5E3FFLeDjYIWvJnVHFzf+XhERNUSjQ05ERASGDx8OCwsLhIZW/Ut76dKleO+997Br1y706GFkI13onsRlx8HTxhOWqqpRQG7WbtAITbWJMW+ua7EK0qBZ9wwUQo1N6j7Yog7F+O5ueHdcF1ibcYwAEVFDSUII0Zgn9uvXD/7+/vj+++9hYlL1B7iyshLPPfccEhIScODAgSYtVBfy8/NhZ2eHvLw82Nrayl2O0ckry8PWhK3YGL8Rsdmx+Pd9/8ZY/7HadXllefo9MWZzKs5GyX+HwyL3Ai5rnDFBswRzx4TgsRCPlntWi4ioDvX9/L6nMzm3BhwAMDExwdy5c9GzZ8/G7pYMnFqjxtHUo9qJMSs0FQAAlUKF1KJU7XZ2ZnawM+PlFwAQucnIWf4Q7AsuIE20xnyrd7DqiSG8PEVEdI8aHXJsbW2RlJSEDh06VFuenJwMGxsjvXcJ3VFxRTHGbRpXLcx0sO+Acf7j8IDPA2hl3kq+4vRU8aXDqPz1cdirc5ApbPGt5yf4fvJY2Jq3kJFkREQ61OiQ8+ijj+LZZ5/FJ598gj59+gAADh06hDlz5mDSpElNViDpr5LKEpzOOI2wtmEAAEuVJTxtPVFUUYQHfR+smhizjYFOjNkMUvf9Fw77FsASlYjVeOJ032/w9tD7eHmKiKiJNDrkfPLJJ5AkCVOmTEFlZdVt9lUqFaZPn44PPvigyQok/SKEwJnMM9hwcQN2XNmB0spS/Pnwn3C0rJr1+t0+78Lewt7wJ8bUJXUl4n+ZCf+EVQCAPYowtH7iBzzm7yFzYURExqXRHY9vKi4uxqVLlwAAfn5+sLQ0nBEy7Hhcf5klmdhyaQs2xG9AQl6Cdrm7tTuW9FuCIKcg+YozIBWF2Uj67hH4FZwAAKy3m4KBz38Me2tzmSsjIjIcOu94fJOlpSUCAwPvdTekxw5cPYDX9rxWbWLMoV5DMT5gPIKdg6GQOHdSfWRfiUbZqkfgp05BsTDD7g6LMe7Raby5HxGRjtxTyCktLcWZM2dw/fp1aDSaauvGjBlzT4WRfC7lXkJBeYH27EyQUxCUCiU62XfCOH8jnxhTRy4dXg/nXS/BHsVIEQ64Mmw5Rt83UO6yiIiMWqNDzo4dOzBlyhRkZmbWWCdJEtRq9T0VRs2rsLwQO67swIb4DTiTcQZd2nTB6gdXAwBsTW2xfcJ2bb8bagAhcGrtO+ga+xkUksAZZSfYPLkafby95a6MiMjoNTrkvPLKK5g4cSIWLlwIZ2fnpqyJmsntE2OWqksBAEpJCQdLB5RWlsLcpKqvCANOw5WVFCLmv8+ge85OQAIO2DyA7tO+h42VldylERG1CI0OOenp6Zg1axYDjgFbfGQx/rj4h/axj50PxvuPx2i/0XCwcJCxMsOXkXIFuT9ORPfKC6gUChwK+Bf6TVoAhZL9l4iImkujQ87DDz+Mffv2wc/PrynrIR0pV5djT/IeBDkGwcXKBQDQ160vdlzZwYkxm9iFyANoFT4VAchGLqxx+f5lGDBgrNxlERG1OI0eQl5cXIyJEyfC0dERgYGBUKmq36H11VdfbZIC6/Lee+9h69atOHXqFExNTZGbm9vgfbSEIeSxWbHYGL8RWy9vRV5ZHmZ0m4HpQdMBABWaClSoKzgxZhM6ufUHdD4+H+ZSBa4oPGAyeS3c/TrLXRYRkVHR+RDy1atXY9euXTA3N8e+ffuqnQGQJEnnIae8vBwTJ05E7969sXz5cp2+lqHJLc3F1stVE2PGZcdplztbOsPW7J8fBpVCBZWC0wc0BY1ajeMr5iDs6nJAAk5bhMJ32lrY2NnLXRoRUYvV6DM5Li4uePXVVzF//nwoFPL1M1i5ciVmzpzJMzk3VGgqcP9v9yO3LBdAVZC53/N+jPcfj7C2YVAqlPIWaISKC/MQ980T6FF0AABw1HkSQp7/D5Qm93wbKiIiqoXOz+SUl5fj0UcflTXgNFRZWRnKysq0j/Pz82Wspmkk5ydjb/JePNnpSUiSpA015zLPYXzAeE6MqWNpyfEoXPkIeqgvoVwocSpoEcLG6/YsJhER1U+jQ87UqVOxdu1avPHGG01Zj04tWbIEixcvlruMe1ZcUYy/kv7ChosbEJEeAQAIdg5GZ4eqvh9v9HqDc0c1g/MRe9Bmy9PwRy6yYYvro5YjtNcwucsiIqIbGh1y1Go1PvroI+zcuRNdu3at0fF46dKlDd7n/Pnz8eGHH95xm9jYWHTo0KHB+waABQsWYNasWdrH+fn58PAwjEkRb58Ys6iiCAAgQUIf1z7VtmXA0b2Izd8hMOL/YCZV4LLCG2ZTfkMH7/Zyl0VERLdodMiJjo5G9+7dAQBnz56ttq6xw5Bnz56Np5566o7b+Pr6NmrfAGBmZgYzM8MMAMfTjuO5Xc9pH7tbu2Oc/ziM9R+rHRJOuic0Ghz9aQF6J34LSECUZR8ETF8Na5tWcpdGRES3aXTI2bt3b1PWAQBwdHSEoyPvrFuhqcDfV/9GUUURRvuNBgD0dO4JL1svdHPshnH+4zgxpgwqyssQtewp9M7dBgA46jIZoc9/BYWSnbmJiPSRwQ7/SEpKQnZ2NpKSkqBWq3Hq1CkAgL+/P6ytreUtrpEu5V7CxviNCL8UjuzSbDhYOGCkz0iYKEygVCixaewmjo6SSX5uFhK/eQihZVFQCwkRnRYg7NF5cpdFRER3YLAhZ+HChfjpp5+0j29eOtu7dy8GDhwoU1UNV1BegB1XdmDjxY04k3lGu9ze3B4P+j6I0spSWJtWhTYGHHmkJV1EycqHEKhJRLEww8UBX6LX/Y/JXRYREd1Fo++TYwz04T45Hxz/AL/E/gKgamLM/u79Md5/PPq69+WN+vRA/OmDsNvwBByRgwy0Rt74n+Hfra/cZRERtWg6v08ONVxaURo2xW9CH9c+CHQMBACM8RuDIylHMN5/PB70e5ATY+qR03vWIGD/q7CUynBZ4QWLp/6Av2eA3GUREVE9NTjkLFy4EGPHjkVwcLAu6jE6Zeoy7E3ai43xG3E45TAEBJILkrUhp6N9R2wcu5ETY+qZ4398huAzi6GUBKLNusNr+h+wbdVG7rKIiKgBGhxyrl69ipEjR8LU1BSjR4/GmDFjMHjwYJiamuqiPoMVmxWLDfEbsDVhK/LL/7mzcohLCPq6/3O5g+FGv9w+RPxEq5EImvETVKaGeesBIqKWrFF9cjQaDQ4dOoTNmzdj06ZNSE1NxdChQzF27Fg8+OCDsLc3jEkJddUnRwiBUetH4WrhVQBVE2OO9R+LcX7j4GFrGDcfbInUlZWI+PZ59MpcDwA44vY0wp5dCsmApi4hImoJ6vv53SQdj2NjY7WB5+TJkwgNDcWYMWMwadIkuLm53evudUaXHY9/PPsjYrJiODGmgSgrLcbZ/0xCcOE+aISE4x3mImyS4UxZQkTUkjRryLlVRkYGwsPDER4ejn79+uFf//pXU+6+SenD6CqSX0FeNhKXjUeXslMoF0pEh36E4Aeeu/sTiYhIFrKFHEPCkEOZacnI/X4s/NWXUCTMkTD4vwjsP1busoiI6A44hJzoLq4lxEKsGgd/kYZs2CJr/K8IDOond1lERNREGHKoRUqMPQnLtQ/BETlIkZyhnvwHAvwD5S6LiIiaEEMOtTjxpw+izYbH0BoFuKzwgs1zm+Hg6iV3WURE1MQYcqhFiTu2C27bpsBGKsEFk3Zwnr4Fdm2c5S6LiIh0oMEhZ8KECXffqYkJXFxcMHToUIwePbpRhRE1tegDG+C3+0VYSmWIMQ2Ex0vhsLEzjHs6ERFRwzX4Lmd2dnZ3/bKwsMDFixfx6KOPYuHChbqom6hBonb9jPa7n4OlVIYz5iHweW07Aw4RkZHT6RDyLVu2YMaMGUhKStLVS9wTDiFvGSI2f4egiPkwkTSItOqPzq+shZm5pdxlERFRI9X387vR96tfvXp1nevmzJkDAOjbty969uzZ2JcgumfHf1+KHhHzYCJpcMJuOLrO/IMBh4iohWh0yJk+fTq2b99eY/nrr7+On3/+GQDQqlUrrF+/vvHVEd2DY799hNCzi6GQBI45TEDwq6thouJEskRELUWjQ84vv/yCSZMm4eDBg9plr7zyCn777Tfs3bu3SYojaqxjaz9Ar5j3AABHnSchdMZyKJScP4yIqCVpdMh54IEHsGzZMowZMwYnT57EjBkzsH79euzduxcdOnRoyhqJGuTo6vfRK3ZJ1fcuk9HrxWWcSZyIqAW6p/vkPP7448jNzcV9990HR0dH7N+/H/7+/k1VG1GDHf313wi78DEA4EjbKQh7/gsGHCKiFqpBIWfWrFm1Lnd0dESPHj2wbNky7bKlS5feW2VEDXT0l3cQdvFTAMAR16kIe+5zBhwiohasQSEnKiqq1uX+/v7Iz8/Xrpck6d4rI2qAoz8vQlj8ZwCAI25PI+zZpQw4REQtXINCDjsUkz46+stibcA56v4swp75hAGHiIg4dxUZtmNrP0TYxapLo0c8nkPvZz+VuSIiItIXDfrn7pkzZ6DRaOq9/blz51BZWdngoojq48T6L9Ar9n0AN/rgPP2xzBUREZE+aVDI6d69O7Kysuq9fe/evfV2SgcybBGbv0Pw6bcBAEedHmUnYyIiqqFBl6uEEHjrrbdgaVm/2+KXl5c3qiiiO4na+ROCIuZX3cm4zTj0mvYtAw4REdXQoJDTv39/nD9/vt7b9+7dGxYWFg0uiqgup/f8hs6HX78xF9UIhMz4kQGHiIhq1aCQs2/fPh2VQXR30Qc2ocP+GTCV1DhpMwg9XvmFUzUQEVGd+E9gMghxx3bBb/fzMJMqEGV5H7q+shZKEw4OJCKiujHkkN5LOHsMrtufgqVUhjPmIej06u9QmZrJXRYREek5hhzSa9cSYmH7+yOwRRFiVZ0Q8MoGmJnXr+M7ERG1bAw5pLcy05IgVo2DA3JxWeEN1+nhsLCykbssIiIyEA0OOefOnUN8fLwuaiHSysvJRN73Y+Au0pAiOcPmuXDY2TvKXRYRERmQBoecWbNmVZttHAC2bt2KyZMn4/XXX8eVK1eaqjZqoUqLC3Ft2Vj4qS8jE62gmbweDq5ecpdFREQGpsEh5/Tp03jooYe0j2NjYzF+/Hjs378fP//8M0JDQ5GSktKkRVLLUVlRjrj/PIxOFWdRICyQN2E13P27yF0WEREZoAaHnLy8PHh4eGgf/+9//4Ovry8SExNx9epVdOvWDR988EGTFkktg9BoEPn1VAQVH0GpUCF5xAr4de0jd1lERGSgGhxy3N3dkZqaqn28e/duTJw4EUqlEmZmZliwYAF27drVpEVSy3B0xVyE5m6DWkiI6/slOvUeKXdJRERkwBoccoYMGYKlS5cCABITExEZGYlhw4Zp1/v5+SE5ObnpKqQW4fiGL9E7+XsAQESXtxA09HGZKyIiIkPX4FvGvvnmm+jevTt8fX1RWloKDw8P9O3bV7s+PT0d1tbWTVokGbfo/evR/dQiQAKOuD2F3hNny10SEREZgQaHHDc3N5w4cQJffvklcnNz8fLLL0OSJO36PXv2oF27dk1aJBmvS2cOw3fPdKgkNSJshyDs2c/kLomIiIxEoyb/8fLywqefflrrupiYmGqXr4jqkpYcD5v1k2ElleKcaTd0fekXzihORERNpsk+UQoKCvDf//4XcXFxWLRoUVPtloxUXk4mSleMhxOycUXhCffp62FqZi53WUREZETuOeQcOHAAU6dORdu2bfHmm29WG15OVJvyslIkf/sQvDVJuA57mD+9AXatHeQui4iIjEyjQk5aWho++OADBAQEYNSoUaisrMRvv/2GlJQULF68uKlrJCMiNBqc+u45dCk7hSJhjoKHVsPFw1/usoiIyAg1uE/O6NGjsXv3bgwaNAiLFi3CuHHjYGVlpV1/aydkotsdW/1vhGVvhlpIiB/wFboFhsldEhERGakGh5ytW7fi8ccfx8yZM9GzZ09d1ERG6vSeNQi5sBSQgBPtZyPs/kfkLomIiIxYgy9XHT58GBYWFrj//vvRvn17vPPOO7h06ZIuaiMjcjnmBPz2z4RSEjhuPxq9Hvs/uUsiIiIj1+CQExYWhu+//x6pqamYN28edu3ahXbt2iEsLAxfffUV0tPTdVEnGbCs9KswW/c4rKUSnDPtiqAXf+BQcSIi0jlJCCHudSfnz5/H8uXLsWrVKqSnp0OSJKjV6qaoT6fy8/NhZ2eHvLw82Nrayl2OUSorLUbCp4PRsSIGV6W2sH5pH1o5uMhdFhERGbD6fn43yT+n27dvj48++ghXr17F+vXr8cADDzTFbsnACY0GZ755Gh0rYpAPS6gfW8OAQ0REzaZJrxkolUqMGzcO4eHhTblbMlDH1i5BSN4OVAoFEu9fBq/2QXKXRERELQg7RpBOnDu0FT3jPgEARLSfhcD+42WuiIiIWhqGHGpyaUkX0fbPaTCRNIiwHcKRVEREJAuGHGpSpcWFKPjpMdgjH5eUvuj84kqOpCIiIlnw04eajNBoEP3dswhQxyMHNrB4cg0srGzkLouIiFoohhxqMsd/+xAheTugFhKuDf4art7t5S6JiIhaMIYcahIxR7ajR+zHAIAT7V5Hl35jZa6IiIhaOoYcumeZaUlw2jkNKkld1dF40ltyl0RERMSQQ/dGXVmJ9B8nwwG5uKzwYkdjIiLSG/w0ontyfMW/0Ln8DIqEOZSP/Y8djYmISG8w5FCjnd67Dr2vrQAAxIb+G57tguQtiIiI6BYMOdQoacnx8Nz/OgDgmMME9HzgeZkrIiIiqo4hhxqsvKwUeT9NRmsU4KLSH0HPfS13SURERDUw5FCDRf74GtpXxiEflrB64heYmVvKXRIREVENBhlyrly5gmeffRY+Pj6wsLCAn58f3n77bZSXl8tdmtGL3LkKYelrAACX+nwMV58OMldERERUOxO5C2iMuLg4aDQafPfdd/D398fZs2fx/PPPo6ioCJ988onc5RmttOR4+B2ZBwA46jwJYcOekLkiIiKiuklCCCF3EU3h448/xjfffIOEhIR6Pyc/Px92dnbIy8uDra2tDqszfOrKSpz/aCA6lUfjgkk7+Mw9CJWpmdxlERFRC1Tfz2+DvFxVm7y8PNjb28tdhtE6vur/0Kk8GkXCHFaPr2TAISIivWeQl6tuFx8fj6+++uqul6rKyspQVlamfZyfn6/r0oxC3Im/EHLlv4AExPR4GyG+neUuiYiI6K706kzO/PnzIUnSHb/i4uKqPefatWsYMWIEJk6ciOefv/O9WpYsWQI7Ozvtl4eHhy6bYxTyc7Ngu206TCQNImyHoOfoaXKXREREVC961ScnIyMDWVlZd9zG19cXpqamAICUlBQMHDgQYWFhWLlyJRR3mTOptjM5Hh4e7JNTB6HRIPKzhxBcsAcpkjNsZh6FjR0vCRIRkbzq2ydHry5XOTo6wtHRsV7bXrt2DYMGDUJwcDBWrFhx14ADAGZmZjAzY1+S+ooIX4aQgj2oFArkP/gNXBlwiIjIgOhVyKmva9euYeDAgfDy8sInn3yCjIwM7ToXFxcZKzMe1xJi0SnqXUACInymI6znYLlLIiIiahCDDDl//vkn4uPjER8fD3d392rr9Ojqm8FSV1Yif/WzcJNKEWMaiJAn3pG7JCIiogbTq47H9fXUU09BCFHrF927E2veRceKcygS5mg16QcoTQwyCxMRUQtnkCGHdOdyzAn0uPgfAMC5rgs4bQMRERkshhzSKi8rheaPF2AqVeKURRhCxr8qd0lERESNxpBDWidXLYCfOgE5sIH71O8h1WPEGhERkb7ipxgBAOIidiM0eQUA4HKvd+Hg4ilzRURERPeGIYdQUlQAq60vQykJRNgOQY+RT8tdEhER0T1jyCGc/mk2PEQKrsMeAU99K3c5RERETYIhp4WLO/EXQtN/AwCkDvgIdvb1u+M0ERGRvmPIacHKSothsX0mFJLACbvh6DZootwlERERNRmGnBYs8uf/g5cmGZlohXZTvpK7HCIioibFkNNCXYo+ip7JPwEAksIWw66Ns8wVERERNS2GnBaosqIcYuMMqCQ1Iq36o8eIp+QuiYiIqMkx5LRAJ35dDH/1JeTBCp5Pfi13OURERDrBkNPCJF04hR4J3wEALgS9wZv+ERGR0WLIaUGERoOC31+BmVSBM+Y90XPMDLlLIiIi0hmGnBYkYvO36Fx+BiXCFA6Pfs25qYiIyKjxU66FyMtKh1/UEgDAKd8X4OrTQeaKiIiIdIshp4U4/8ts2CMfVxQeCH7sLbnLISIi0jmGnBYg7vifCM3eDAAoHvYJTM3MZa6IiIhI9xhyjFxFeRnMdswGABxvNQqdwkbIXBEREVHzYMgxcifXvgcfTSJyYIOAyUvlLoeIiKjZMOQYsdTE8+ga/y0A4GK3eWjt2FbmioiIiJoPQ44RS/3tX7CUyhCj6oKQsS/JXQ4REVGzYsgxUmcPhqNH0QGohQSLcUt5TxwiImpx+MlnhCorymG95/8AABGOE+DTuZfMFRERETU/hhwjFPH7J/DWJCEHNugwaYnc5RAREcmCIcfIZF+/hk7n/wMAuNB5JuzaOMtcERERkTwYcozMxTXzYYsiXFL6ouf4mXKXQ0REJBuGHCMSf/ogQrKq7mxcPuwDKE1MZK6IiIhIPgw5RkJoNKjcMgcKSSDCdgg69houd0lERESyYsgxEie3/YAOFTEoFmbwfPQTucshIiKSHUOOESgtKYJbxEcAgNM+z8DJzUfmioiIiOTHkGMETv3+IdoiA9dhj6CJ/yd3OURERHqBIcfA5WSkotOl7wEAiUGzYWFlI3NFRERE+oEhx8Cd/+0t2KIYl5S+6PHgNLnLISIi0hsMOQYsOT4awdfXAwBKBi7ikHEiIqJbMOQYsIwNC6CS1DhtHoIu/cbKXQ4REZFeYcgxUHHHdqFH0d9QCwm2Yzg/FRER0e0YcgyQ0Ggg/fkWAOBkmwfh0ylE5oqIiIj0D0OOATq9ew3aV8ahWJjB9+H35C6HiIhILzHkGBiNWg27Ix8AAE67PQYHVy+ZKyIiItJPDDkGJnLr9/DRJCIfluj08Ftyl0NERKS3GHIMSEV5GdpGLQUAxHg/DTt7R5krIiIi0l8MOQYkctNXcBPpyIIdAh+aK3c5REREeo0hx0CUFhfC59zXAICL7afByqaVvAURERHpOYYcA3Fq/SdwQjbS4Iju42fKXQ4REZHeY8gxAAV52Wgf/wMAIKnbqzAzt5S5IiIiIv3HkGMAzq7/EK1RgESFOyfhJCIiqieGHD1XkJeNTomrAAAZwTNhojKVuSIiIiLDwJCj585t+AR2KEKiwh3dhz8tdzlEREQGgyFHjxXm56DDlZ8AABlBr0BpYiJzRURERIaDIUePRW9cilYoRLLkiu6jnpO7HCIiIoPCkKOnigpy0SFhJQAgrdvLPItDRETUQAw5eip602dojXxclVzQ/YHn5S6HiIjI4DDk6KGSogIExK8AAKR0fYkjqoiIiBqBIUcPnd74GdogDymSM7o/8KLc5RARERkkhhw9U1pSBP+LywEAV7tMh8rUTOaKiIiIDBNDjp45veVbOCAX6WiDoAeny10OERGRwWLI0SPqykq4xXwPALgc8BRMzcxlroiIiMhwMeTokdN/roK7SEUerBA45lW5yyEiIjJoDDl6Qmg0sDn5NQAg1v0xWNm0krcgIiIiA8eQoyfOHd6CgMqLKBGmaDdmttzlEBERGTyGHD2hOfg5AOCM44Owd3KTtxgiIiIjwJCjB+JPH0LX0pOoFAp4PDBP7nKIiIiMAkOOHsj76xMAwCnbQXD16SBzNURERMaBIUdmqYnnEZS/FwDQeui/ZK6GiIjIeBhsyBkzZgw8PT1hbm6Otm3b4sknn0RKSorcZTVY4vYvoJQEos26w69rH7nLISIiMhoGG3IGDRqE3377DefPn8cff/yBS5cu4eGHH5a7rAYpKshFp7QNAABNr2kyV0NERGRcJCGEkLuIphAeHo5x48ahrKwMKpWqXs/Jz8+HnZ0d8vLyYGtrq+MKazq2Zgl6xX2AZMkVbm+ehUKpbPYaiIiIDE19P79NmrEmncnOzsYvv/yCPn363DHglJWVoaysTPs4Pz+/OcqrlUathtv5nwAAKR2eggcDDhERUZMy2MtVADBv3jxYWVmhTZs2SEpKwqZNm+64/ZIlS2BnZ6f98vDwaKZKazqzbx3cRSryYYUuo16UrQ4iIiJjpVchZ/78+ZAk6Y5fcXFx2u3nzJmDqKgo7Nq1C0qlElOmTMGdrr4tWLAAeXl52q/k5OTmaFatTI5/AwCIcRnHKRyIiIh0QK/65GRkZCArK+uO2/j6+sLU1LTG8qtXr8LDwwOHDx9G79696/V6cvXJSTh7DL6/D0OlUCDz2eNw8QxottcmIiIydAbZJ8fR0RGOjo6Neq5GowGAan1u9FXmX5/DF8Bpm/4IZsAhIiLSCb0KOfV17NgxnDhxAn379kXr1q1x6dIlvPXWW/Dz86v3WRy55GSkolvOn4AEWA14Re5yiIiIjJZe9cmpL0tLS6xfvx6DBw9G+/bt8eyzz6Jr167Yv38/zMzM5C7vjs5vXwYzqQIXlf7oEDJE7nKIiIiMlkGeyQkMDMSePXvkLqPBNGo1PC+vBQDkdp4iczVERETGzSDP5Biq6APr4SrSq4aND39G7nKIiIiMGkNOMxInlgMAYpwehIWVjczVEBERGTeGnGaSmngegUVHAQCuQ2bIXA0REZHxY8hpJld2LYNSEjhrFgTPdkFyl0NERGT0GHKaQXlZKdpdq5ptvLz70zJXQ0RE1DIw5DSDM3+tQhvkIQOtEXj/JLnLISIiahEYcpqB5emq2cbjPR6GylS/7+NDRERkLBhydCwxLhKdyqNRKRTwG/GS3OUQERG1GAw5Opa6978AgGirMDi5+chcDRERUcvBkKNDFeVlaJe+FQAgdX9S5mqIiIhaFoYcHYre+xvskY9MtEKXgQ/LXQ4REVGLwpCjQ8pTqwAAF9s+CBOVqczVEBERtSwMOTpy/dpldCk+DgBwG/S8zNUQERG1PAw5OpLw5/dQSgKxqs68wzEREZEMGHJ0QKNWwz3xDwBAQSfe/I+IiEgODDk6EHtsJ9xFGgqFBboMnSJ3OURERC0SQ44OFB9bAQCIaTMEltZ2MldDRETUMjHkNDGh0cCkoggaIcGuzzNyl0NERNRimchdgLGRFAp0n7sN6VcvoZ0r73BMREQkF4YcHXF295O7BCIiohaNl6uIiIjIKDHkEBERkVFiyCEiIiKjxJBDRERERokhh4iIiIwSQw4REREZJYYcIiIiMkoMOURERGSUGHKIiIjIKDHkEBERkVFiyCEiIiKjxJBDRERERokhh4iIiIxSi56FXAgBAMjPz5e5EiIiIqqvm5/bNz/H69KiQ05BQQEAwMPDQ+ZKiIiIqKEKCgpgZ2dX53pJ3C0GGTGNRoOUlBTY2NhAkqQm229+fj48PDyQnJwMW1vbJtuvPjH2NrJ9hs/Y22js7QOMv41sX+MJIVBQUABXV1coFHX3vGnRZ3IUCgXc3d11tn9bW1uj/MG9lbG3ke0zfMbeRmNvH2D8bWT7GudOZ3BuYsdjIiIiMkoMOURERGSUGHJ0wMzMDG+//TbMzMzkLkVnjL2NbJ/hM/Y2Gnv7AONvI9uney264zEREREZL57JISIiIqPEkENERERGiSGHiIiIjBJDDhERERklhpx7sGjRIkiSVO2rQ4cO2vWlpaV46aWX0KZNG1hbW+Ohhx5Cenq6jBXf2YEDBzB69Gi4urpCkiRs3Lix2nohBBYuXIi2bdvCwsICQ4YMwcWLF6ttk52djcmTJ8PW1hatWrXCs88+i8LCwmZsRd3u1r6nnnqqxvEcMWJEtW30uX1LlixBSEgIbGxs4OTkhHHjxuH8+fPVtqnPz2RSUhIeeOABWFpawsnJCXPmzEFlZWVzNqVO9WnjwIEDaxzHadOmVdtGX9v4zTffoGvXrtqbp/Xu3Rvbt2/Xrjf043e39hnysavNBx98AEmSMHPmTO0yQz+Gt6utjXp1HAU12ttvvy06d+4sUlNTtV8ZGRna9dOmTRMeHh5i9+7dIiIiQoSFhYk+ffrIWPGdbdu2Tfzf//2fWL9+vQAgNmzYUG39Bx98IOzs7MTGjRvF6dOnxZgxY4SPj48oKSnRbjNixAjRrVs3cfToUfH3338Lf39/MWnSpGZuSe3u1r6pU6eKESNGVDue2dnZ1bbR5/YNHz5crFixQpw9e1acOnVKjBo1Snh6eorCwkLtNnf7maysrBRdunQRQ4YMEVFRUWLbtm3CwcFBLFiwQI4m1VCfNg4YMEA8//zz1Y5jXl6edr0+tzE8PFxs3bpVXLhwQZw/f1688cYbQqVSibNnzwohDP/43a19hnzsbnf8+HHh7e0tunbtKl577TXtckM/hreqq436dBwZcu7B22+/Lbp161brutzcXKFSqcS6deu0y2JjYwUAceTIkWaqsPFuDwEajUa4uLiIjz/+WLssNzdXmJmZidWrVwshhIiJiREAxIkTJ7TbbN++XUiSJK5du9ZstddHXSFn7NixdT7HkNonhBDXr18XAMT+/fuFEPX7mdy2bZtQKBQiLS1Nu80333wjbG1tRVlZWfM2oB5ub6MQVX9gb/2DeztDa2Pr1q3FDz/8YJTHT4h/2ieE8Ry7goICERAQIP78889qbTKmY1hXG4XQr+PIy1X36OLFi3B1dYWvry8mT56MpKQkAMDJkydRUVGBIUOGaLft0KEDPD09ceTIEbnKbbTLly8jLS2tWnvs7OzQq1cvbXuOHDmCVq1aoWfPntpthgwZAoVCgWPHjjV7zY2xb98+ODk5oX379pg+fTqysrK06wytfXl5eQAAe3t7APX7mTxy5AgCAwPh7Oys3Wb48OHIz8/HuXPnmrH6+rm9jTf98ssvcHBwQJcuXbBgwQIUFxdr1xlKG9VqNdasWYOioiL07t3b6I7f7e27yRiO3UsvvYQHHnig2rECjOt3sK423qQvx7FFT9B5r3r16oWVK1eiffv2SE1NxeLFi9GvXz+cPXsWaWlpMDU1RatWrao9x9nZGWlpafIUfA9u1nzrD+XNxzfXpaWlwcnJqdp6ExMT2NvbG0SbR4wYgQkTJsDHxweXLl3CG2+8gZEjR+LIkSNQKpUG1T6NRoOZM2fivvvuQ5cuXQCgXj+TaWlptR7jm+v0SW1tBIDHH38cXl5ecHV1xZkzZzBv3jycP38e69evB6D/bYyOjkbv3r1RWloKa2trbNiwAZ06dcKpU6eM4vjV1T7A8I8dAKxZswaRkZE4ceJEjXXG8jt4pzYC+nUcGXLuwciRI7Xfd+3aFb169YKXlxd+++03WFhYyFgZNcZjjz2m/T4wMBBdu3aFn58f9u3bh8GDB8tYWcO99NJLOHv2LA4ePCh3KTpTVxtfeOEF7feBgYFo27YtBg8ejEuXLsHPz6+5y2yw9u3b49SpU8jLy8Pvv/+OqVOnYv/+/XKX1WTqal+nTp0M/tglJyfjtddew59//glzc3O5y9GJ+rRRn44jL1c1oVatWqFdu3aIj4+Hi4sLysvLkZubW22b9PR0uLi4yFPgPbhZ8+2jAG5tj4uLC65fv15tfWVlJbKzsw2yzb6+vnBwcEB8fDwAw2nfyy+/jC1btmDv3r1wd3fXLq/Pz6SLi0utx/jmOn1RVxtr06tXLwCodhz1uY2mpqbw9/dHcHAwlixZgm7duuGLL74wmuNXV/tqY2jH7uTJk7h+/Tp69OgBExMTmJiYYP/+/fjyyy9hYmICZ2dngz+Gd2ujWq2u8Rw5jyNDThMqLCzEpUuX0LZtWwQHB0OlUmH37t3a9efPn0dSUlK168+GwsfHBy4uLtXak5+fj2PHjmnb07t3b+Tm5uLkyZPabfbs2QONRqP9ITckV69eRVZWFtq2bQtA/9snhMDLL7+MDRs2YM+ePfDx8am2vj4/k71790Z0dHS1MPfnn3/C1tZWe0lBTndrY21OnToFANWOoz638XYajQZlZWVGcfxqc7N9tTG0Yzd48GBER0fj1KlT2q+ePXti8uTJ2u8N/RjerY1KpbLGc2Q9jk3ajbmFmT17tti3b5+4fPmyOHTokBgyZIhwcHAQ169fF0JUDRX09PQUe/bsEREREaJ3796id+/eMlddt4KCAhEVFSWioqIEALF06VIRFRUlEhMThRBVQ8hbtWolNm3aJM6cOSPGjh1b6xDy7t27i2PHjomDBw+KgIAAvRlifaf2FRQUiH/961/iyJEj4vLly+Kvv/4SPXr0EAEBAaK0tFS7D31u3/Tp04WdnZ3Yt29ftaGbxcXF2m3u9jN5c2jnsGHDxKlTp8SOHTuEo6Oj3gxfvVsb4+PjxTvvvCMiIiLE5cuXxaZNm4Svr6/o37+/dh/63Mb58+eL/fv3i8uXL4szZ86I+fPnC0mSxK5du4QQhn/87tQ+Qz92dbl9pJGhH8Pa3NpGfTuODDn34NFHHxVt27YVpqamws3NTTz66KMiPj5eu76kpETMmDFDtG7dWlhaWorx48eL1NRUGSu+s7179woANb6mTp0qhKgaRv7WW28JZ2dnYWZmJgYPHizOnz9fbR9ZWVli0qRJwtraWtja2oqnn35aFBQUyNCamu7UvuLiYjFs2DDh6OgoVCqV8PLyEs8//3y1IY5C6Hf7amsbALFixQrtNvX5mbxy5YoYOXKksLCwEA4ODmL27NmioqKimVtTu7u1MSkpSfTv31/Y29sLMzMz4e/vL+bMmVPtHh1C6G8bn3nmGeHl5SVMTU2Fo6OjGDx4sDbgCGH4x+9O7TP0Y1eX20OOoR/D2tzaRn07jpIQQjTtuSEiIiIi+bFPDhERERklhhwiIiIySgw5REREZJQYcoiIiMgoMeQQERGRUWLIISIiIqPEkENERERGiSGHiIiIjBJDDhERERklhhwi0luSJN3xa9GiRXd8/qBBg/DDDz/Uum7gwIGYOXNmtWVffPEFzMzMsGbNmiZqARHJyUTuAoiI6pKamqr9fu3atVi4cCHOnz+vXWZtbV3nc7Ozs3Ho0KF6B5a3334bn3zyCTZt2oQRI0Y0vmgi0hsMOUSkt1xcXLTf29nZQZKkasvuZOvWrejRowecnZ3vuJ0QAq+++ip+/vln/Pnnn+jTp8891UxE+oMhh4iMUnh4OMaOHXvHbSorK/HEE09gz5492L9/P7p27dpM1RFRc2DIISKjU1ZWhh07dty1z873338PADh9+jQ6dOjQDJURUXNix2MiMjp79uyBk5MTOnfufMft+vbtC2tra7z11luorKxspuqIqLkw5BCR0QkPD8eYMWPuul1gYCB2796NvXv34tFHH2XQITIyDDlEZFSEENi8efNd++PcFBQUhN27d+PAgQN45JFHUFFRoeMKiai5MOQQkVE5efIkiouL0bdv33o/p1u3btizZw8OHjzIoENkRBhyiMiobNq0CaNGjYKJScPGVQQGBmLPnj04fPgwJk6ciPLych1VSETNRRJCCLmLICJqKl27dsWbb76JRx55RO5SiEhmPJNDREajvLwcDz30EEaOHCl3KUSkB3gmh4iIiIwSz+QQERGRUWLIISIiIqPEkENERERGiSGHiIiIjBJDDhERERklhhwiIiIySgw5REREZJQYcoiIiMgoMeQQERGRUfp/fDxCANdHB4cAAAAASUVORK5CYII=",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    },
+    {
+     "data": {
+      "image/png": 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8efMIDg6me/fu3HXXXTz33HM89dRTtn+8N2/ejLOzM507dy7xuNzcXHbu3MnkyZOrPFNcXBwAXbt2rVTmU6dOkZeXR1JSEi1atKjyfGI/DMPgSEYuO1OyOHDiNInHT5N44jQHTpzmRE7+JT23i5MFJ4uFQqv1vCJ1uqCY0wXFpGTmXfR56rk5E9qoHi39z95a+NejVUA92gT74OWmf8JFaoJ+0mqYYRjkFpozJ4+nq3OF/4c6a9Ys7rrrLgCGDBnCgw8+yJo1a7j66qsBiI2Npbi4+IJzSV2o0FyK2NhYQkJCLjjR58UyP/zww6xYsYKwsDCioqLo168fI0aMICIiwvYcCxcuZPLkyVitVp588knuv//+Kh+H1CzDMDh8KpfYpFPsTMlie0omO1KyyDhz4Ws2Nqzn9udRHneC/jzaE+jrTn1PN3w9XfDxcMXX4+yfnm7OuDhZcHGy4OxkKfGzVlRspbDYoKDYSkGRldP5RWTmFpKZW0hW3tk/03MKSM3KIy0rj9SsPFIz8zl5Op/TBcXsPJrFzqNZJbJZLNCyUT3aNfElovHZW+eQ+jSsp0vviFQ1i6E30C9JVlYWfn5+ZGZm4uvrW2JdXl4eiYmJtGzZEg8PDwDOFBQRMfVnM6Ky84WBFfqfaEJCAm3btmXPnj20bt0agDvvvBNnZ2e++OILAPr164efnx9Tp04t8dg5c+bw1ltvkZ2djbOzc4l1U6ZM4ZVXXinztXft2kXbtm1LXTdkyBAAvv/++0plhrOTSK5du5Zly5Yxf/58EhMTWbBgATfeeCNFRUVERESwatUq/Pz8iIqK4vfffy+1nJW2j6V2sFoNdqdms+lQOhsT09l08BSpWecfyXFxstA6yIfLgrxtR2/C/L1p4e+Fj4e5s7LnFxWTnJ5L4onTHDxxmsSTZ49+7T2Wc8EjXy3969G1eQO6htYnKrQBrQN9cHbS23gif1fW7++/05EluaBZs2Zx+eWX20oHwF133cXQoUN555138PPzIzY2lueff54uXbqUeOx7771Hp06dzitKAJMnT+bee+8t87XDwsIuuC42NvaCR3rKkxnA2dmZPn360KdPH5577jlatGjBV199xY033sjGjRtp3749TZs2BWDQoEEsW7aM4cOHl5lZzHciJ5/f9h5nTcJxftt7gpOnC0qsd3Gy0L6pH52a+tG+iS/tm/hxWbA37i7nf5/WBu4uzoQHehMe6H3eumPZeew6ms2uo1nsOprF9iOZ7P/zbcTEE6f5NvYwAD7uLvQIa8RV4Y24Mtyf8EBvnQMlUkEqSzXM09WZnS8MNO21y6uoqIjPP/+cKVOmlFg+YMAAvLy8+PrrrxkwYAAZGRmlvtUWGxtLjx49Sn3ugIAAAgICKhb+TydOnCA5ObnU1yxP5rFjx573OKvVSn5+vi1TSkqKrSgBNG3alCNHjlQqr1QvwzDYk5bD0u2p/LIrjW1HMkus93JzJiq0AZe3aMjlLRrSJaQ+nm61sxhVVKCPB4E+HvS57P9+ljLOFBCXnEHcoVNsTjpFfFIG2flF/LIrjV92pf35OHeuCvfnqtb+XN0mUG/biZSDylINs1gsdnFS5sKFC0lLS6NDhw5s3769xLrevXsza9YsGjVqhJOT03lHlQoLC9m+fTsPPfRQleeKjY0FSj8XqjyZ161bR0REBNdccw1BQUEcOHCAl156CYCJEydWeV6peoZhsP1IFku2H2Xp9lQOnDhdYn1EY1/6tAmgz2UBdG3eADeXujNDSn0vN/q2CaRvm0AAiq0GO1OyWLf/BOv2nWBjYjrHsvNZEHeEBXFHcLJAt9CG9I8IpH+7IMICzj+CJSIqS3IBs2bNAuDaa6+94DZfffUVrVu3xtu75D+wO3fuJD8/v1pO7o6LiyMoKIgmTZqct648mW+44QYWLlzI9OnTycnJISQkhAEDBvDpp5/SrFkzAJo0aVLiSNKRI0fo3r17FY9EKupIRi7fxR5mQeyREgXJzdmJXq39GdghmKvbBBDoo3PHznF2stCxmR8dm/kxtk8r8gqLiT10irX7TrA64Tg7j2ax8WA6Gw+m89Li3YQF1OPaiCBu7NSE9k189XadyJ90gvclqugJ3lL7FRUV0a5dO1avXq0TvE12pqCIRVuPsiD2CDEHTtqWe7g60bdNINd1COaatoGmn4htrw6fOsOKXcf4ZVca6w+cpLD4/34dhAXU48ZOTbixc5NSz5kSsXc6wVvkEri4uPDGG2/Qt29frFYrTzzxxAWnKZDqse9YDrM3HOKbzYfJziuyLY8Oa8Q/ujZlUMfGeLvrn69L1ayBFyN7tmBkzxZk5RWyJuE4i7cdZcXuYxw4fpoZK/YyY8Ve2jX25eYuTfhH16Y6cid1ko4sXSIdWarbtI+rTlGxleU70/hi/SF+3/9/R5FCG3kxNKoZQyKb0qxB6fN5SdXKzivkl11p/LTlKL/uOU6R9eyvCWcnC33bBDC0WwjXtA3E1bnunA8mjkdHlkTEbpwpKGL+psN8+NsBDp/KBcDJAte0DeKe6FB6hfvjpHmCapSPhyu3RDbjlshmnDpdwJLtqXyzOZnYpAx+2XWMX3Ydw9/bjVsimzLs8uZ6m04cnsqSiJjiZE4+n8cc4vOYg5z6cxbthvXcGN49hOHdm+soUi3RoJ4bd/Zozp09mrPvWDbzNx3m29gjnMjJ58PfEvnwt0R6tfZnRHQLrmkbqAkwxSGpLIlIjTqenc//1uznyw2HyCu0AtC8oRdjeodxW9dmDjMPkiMKD/Thqevb8c+BbVidcJy5fySxYvcxftt7gt/2nqBZA0/uuSKU27uF0EDzN4kDUVkSkRqRfrqA//26n89/P2S7PmLHpmc/0n5dh2AdkbAjrs5OXBsRxLURQSSnn+HLDYeY+0cyh0/lMm3JbqYv38OQLk0Z07sl4YE+ZscVuWQqSyJSrTJzC/ng1/18uu4gpwvOlqTOIfV5rH9r+lwWoLl87FxIQy+eGtSOx/pfxo9bUvjs94PsSMli7qZk5m5Kpn+7IB66Ooyo0IZmRxWpNJUlEakWBUVWZm84xIwVe8n485ykDk19mXTtZfRtE6iS5GA8XJ25vVsIQ6OaEZt0ig9+PcCynWm2S610C23A2D6tuKZtoE7YF7ujsiQiVcowDH7ekcYrS3eT+OdM260DvfnnwDYMiAhSSXJwFouFqNCG/O+ehuw/nsOHvx5gQewRNh06xf2fbyI80JuH+4ZzY+cmeutV7IbmWbpEmmepbtM+LmlHSibP/7iTjQfTAfD3dmPStW24vVszXDQnT52VlpXHx+sS+Wp9Etn5ZycZbRVQjwn9WnNDJ5UmMUdF5llSWbpEKkt1m/bxWVl5hUxftofPYw5iNc5ejmRMrzAe7NNKM22LTVZeIZ//fpAPf0skM/fsW7Phgd5M6NeawR0bqzRJjdKklCJSIwzD4Pv4I7y4aDcncvIBuKFTY54Z3I7Gfp4mp5PaxtfDlYevac3Ini34dN1BPvztAPuO5TDh6zjeXrGXx669jEEdgvVWrdQ6Oi4uZerTpw+jRo06b/l7772Ht7c3Vqv1kl/j559/xmKxlHlbtmwZhw8fZuzYsYSHh+Ph4UFQUBADBgxg27Ztl5xBKm7/8RyGf7iex+Zu4UROPmEB9fhydA/eubOripKUycfDlUf6tWbtlGt4rP9l+Hi4sPdYDuNmxzLkvd9Z/5eLJovUBjqyJBdkGAZxcXHcfvvt563btGkTXbp0wcnp0vt27969OXr0qO1+hw4dGDduHOPGjbMtO336NJGRkVx99dV88cUXNG7cmOTkZL799lvc3d0vOYOUX1GxlY/WJjJ9+R4Kiqx4uDrxyDWtub9XS9xdNKGklJ+vhyuP9m/NvVe2YNZvB/hobSJbkjO444P1XNM2kCeva0ubYM3TJOZTWZIL2rt3L9nZ2URFRZ23btOmTfTt27dKXsfT0xNPz7NHIo4cOcLJkyfp1asXwcHBtm0mT55MvXr1mDt3rq2gtWjRgl69elVJBimf3alZPPHNVrYezgSg92UBvDikAyENdWkSqTw/T1cmDWjD3dGhvLViL19vTGbl7mOsSjjGrV2bMenay2hSX0crxTwqSzXNMKDwjDmv7eoFFTgXYPPmzTg7O9O5c+cSy3Nzc9m5cyeTJ0+u6oTExcUB0LVr1xLLT506RV5eHklJSbRo0aLKX1fKVlhs5b1V+3ln1V4Kiw18PVz49w0R3BbVTOeXSJUJ9PHg/w3pyKgrW/L6sgQWb0vlm82H+WlLCg/2acVDfVrpcjhiCpWlmlZ4Bl5qYs5rP50CbvXKvXlsbCzFxcV4eZV+1ODvhaYqxMbGEhISQqNGjUosf/jhh1mxYgVhYWFERUXRr18/RowYQURERJVnkJIST5xm4pw4tvx5NKl/uyBevKUDQb5199N/Ur3CArx5764o4pJOMW3JbjYmpvPWir3M35TMU9e348ZOjVXSpUbpBG+5oNjYWG655Rbi4uJK3J588kk8PT1LLSpTpky56Mnau3fvLvM1SythXbt25cCBA6xatYoBAwawYMECOnfuzE8//VSlY5b/YxgGX29M4voZv7HlcCZ+nq7MuKMLH46IUlGSGhHZvAFzH7iC9+7qStP6nhzNzGPC13EMnRnD9iOZZseTOkTzLF2iCs+zZEdvwzVo0IDnn3+eCRMmlFj+wAMPsHXrVtavX3/eY44fP87Jk2V/kiUsLAw3t9KvSN68eXPuv/9+pk6dWuZzFBYW0qJFC3r37s3XX399kZFUH0edZyn9dAFTvt3Ksp1pAESHNWL6sM76lJuYJq+wmA9+PcB7q/eRV2jFYoFh3UJ4fGAbGnnrQx5ScZpnqTazWCr0VphZDhw4QEZGRqlHeWJjY+nRo0epjwsICCAgIKBSr3nixAmSk5PL9fae1WolPz+/0q8lFxaz/ySPzonjWHY+rs4W/jmgDWN6hel6XmIqD1dnJvRrzW1RzXhl6W5+iE9hzh/JLN2RylOD2jI0KkTfo1Jt9DaclGrz5s04OTnRpUuXEssLCwvZvn17tZ2vBOefC3XPPfcwbdo0NmzYwMGDB1m5ciWDBw8GYOLEiVWeo66yWg3eXbWPuz5az7HsfMIDvflu3JU82KeVfglJrdGkvicz7ojkm7HRtA32IeNMIU9+u41hH8SwJy3b7HjioFSW/vTuu+/SokULPDw86NGjBxs3bjQ7kqliY2Np3bo13t7eJZbv3LmT/Pz8ailLcXFxBAUF0aRJyRPgu3btysKFC7nhhhto164dY8eOpW3btsTHxxMWFlblOeqiU6cLGPXZH7z2cwJWA27t2oyfHr6KDk39zI4mUqpuLRqy8JGreOb6dni5OfPHwVNcP+M3Xlm6m9yCYrPjiYPROUvA3LlzGTFiBDNnzqRHjx68+eabzJ8/n4SEBAIDA8t8rK4NV7c5wj6OTTrFw7NjScnMw93Fif/c3IHbLw8xO5ZIuR3JyOX5H3fYzrFr1sCT/9zcgb5ty/73W+q2ipyzpCNLwPTp0xkzZgz33XcfERERzJw5Ey8vLz7++GOzo4lUq682JDHsfzGkZObR0r8e3427UkVJ7E7T+p58MKIbH47oRhM/Dw6fyuW+T//g0TlxnDpdYHY8cQB1/gTvgoICNm/ezFNPPWVb5uTkRP/+/YmJiTExmUj1KSy28vxPO/hyfRIAg9sH8Eo/H7wLd8DudMjPhuJCsBZCcdHZP61F//cE5x2Q/tv9EuvLWleGUj+5eYFzp8q77SVtZ0/PWdrDa2POvy23OIGL+583j7N/Ov9539UTPOqDZ/2z90txbUQQPVs1YsaKvXz02wF+iE9h3b4T/OfmDgzq2PgCGUQurs6XpRMnTlBcXExQUFCJ5UFBQaXOB5Sfn09+fr7tflZWVrVnFKlKJ3PyeWh2LKkHd/GwSwz3NNhO4MF9WD7Q/8DFTrjWA88G4BME9Zv/3y2wPfWCO/L09e24vmNjnvhmC3vScnhodizXdwzmhZs74K9pBqQS6nxZqqhp06bx/PPPmx1DpFJ2pGTy3KeLuCf3c25wW4+TxYBzHyByrQfegeDVENx9wdkNnF3ByeXsnxbnvx0h+MvfL7j87wku9Ji/KfXo0wWOSJW6uJSF5X3OCx75qsvPWdrDL+U5L/A61iIoyofiAijKg6Jzf+afnZ8uPwsMKxSePnvLOgxHNv/tSSzQKJwuza9gUb+r+SA5hOnrTrJ4Wyox+0/y3E3tualzE80ALhVS58uSv78/zs7OpKWllVielpZW4kKu5zz11FNMmjTJdj8rK4uQEJ3jIbXfL9sPs2Pe83xh+Q4P58KzC8P6Qod/QMve4NccnHQao9RiVivkZ0LuKThzCrKPQkbS2Vv6AUjdBtkpcHIvnNyLa9wXjLc4MbJFNB9mdOPj9I48OieehVuPMu0fHXWUScqtzpclNzc3oqKiWLFiBUOGDAHOTni4YsUKHn744fO2d3d3x929Yj9g+sCh47KXffvt8jW0+u0xHnXaD0BR8164DHoJGncyOZlIBTg5nX37zbMBNLzANjnHICUODqyBA6vg2E68U9bxGOt42Mud+YW9mLVrINe9eYqX/9GJ/hFBF3gikf9T58sSwKRJkxg5ciTdunWje/fuvPnmm5w+fZr77rvvkp7X1dUVgDNnzuDpqctEOKKCgrPn+Tg7184roVutBgu+fIfr9v8/vJ3yyHX2xvXGN3DpPKxiJweL2AvvQLhs4NkbQHoibP8Wts7D9UQCdzr/wp3Ov7A8P4rXvhjKisuv5F+DI6jnrl+HcmGaZ+lP77zzDq+99hqpqal06dKFt95664KX9Piri83TcPToUTIyMggMDMTLy0vvkzsQq9VKSkoKrq6uNG/evNbt27yCQla8/xiDT30BwBG/rjS57zMs9ZubnEzEBIYBB9fC+vcxEhZjwcBqWPjB2pN53nfzzzsGERXawOyUUoMqMs+SytIlutgX2zAMUlNTycjIqPlwUu2cnJxo2bLlBS8MbJZTp9JJmHkXV+T/DsC+ViMJv3M6OOt/zyIc3wOrXoSd3wOQb7jwv+IbMa58jHEDOuLqrHP36gKVpRpU3i92cXExhYWFNZhMaoKbmxtOteyk6LSjyWR8OIQ21n0U4EJyz5doNeBBs2OJ1D4p8RQuexbXg6sBSLIG8Gn98dw78kGaN/IyN5tUO5WlGlSRL7ZIdUs+sBvji1tobqRwCl9ybvmckM59zY4lUnsZBuz6idyfHsczNxWAn40r4IbpDLy8vcnhpDrpciciddC+7Rtx/3wQzY0UUi0B5I9YrKIkcjEWC0TchOfEzWRHjaMYJwZa1tN14XV8/sm7uiivACpLIg5h18blBHwzhEDSOejUHNcxvxAc1tHsWCL2w90bnxunYdy/guOeYQRYshhx6GnWvnYr+5IOm51OTKayJGLntv32Ay0W3Ykfp0lwbUfDR1bQqEkLs2OJ2CWXZl0JmBTD4YgHKMaJawtX4TmrD8t+/tFu5lWTqqeyJGLHtq5ZQOtfRuNpKWCrx+U0f3QZvg0CzY4lYt9cPWh2+2tkDf+JNJcmNLWc4JrfR7Lo3X9yJi//4o8Xh6OyJGKntqycT5uVD+BhKSTeK5o2E3/E01sfMhCpKg3aXEXA5PXsCRyEi8XKDSc+Yvdr13Lo4H6zo0kNU1kSsUPxv8yh3ZqxuFsKiat3FRGPfo+7hz7qLFLVnDz9uOyhrzlw5Wvk4k7X4i14f3I1f/wy3+xoUoNUlkTsTNyyL4n4bRxuliJivXvT4dEFuLl7mB1LxHFZLIRd+wBn7l3BQZcwGlmyiPptDGs+fJyioiKz00kNUFkSsSPxK+bQYd0E3CzFbPa5hk6Pfourm66cLlITGrXoSNPH1xEXMAQni0GfIx+w5bVBHD+eanY0qWYqSyJ2YtuvP9Du14dxtRSzyacfnSfMxcW1dl1mRcTRubp7ETn+M7Z1e4k8w5Wo/I0UvNuLHZt/MzuaVCOVJRE7sGvDz7RaMQZ3SyGxXlfRecIcFSURE3W8YTwnhi3kqCWIphyj1Y+3EPPtDLNjSTVRWRKp5fbEriFk8Ui8LPls9bic9hPm46qiJGK6ZhFX4Dfxd7bX64GHpZDobVPZ8PZICvI1vYCjUVkSqcUObN9A0I/D8bbkssOtE60f0afeRGoTLz9/2k9ewoYWY7EaFnqc/J49b/Tn5LEUs6NJFVJZEqmlDu/bjt83Q8/OzO3SltCHf8SznrfZsUTkbyxOzvS49xW29X6f04YHHQq2kv9+H/Zt32B2NKkiKksitdCJ1CQss/9BIzLZ79yS4HEL8fZtYHYsESlD537DOTl8EUcswTQxjtF4/o38sfRzs2NJFVBZEqllsjPTyfhwCE2NNI5YgvAb8yN+DQPMjiUi5dC8bTd8HvmVHe5dqGfJ5/L1j/DbrCewFlvNjiaXQGVJpBbJzzvDofduIbx4Pyfxw7hrAf7Bzc2OJSIV4NswiLb/XM6moKEA9Er+H3H/HULemWyTk0llqSyJ1BLW4mK2vzOcDvnxnDY8SB8ym2bhHcyOJSKV4OzqRreHPmJzp+cpMJyJyllD0vRrOJGaZHY0qQSVJZFawLBa2TjzQaJyVlNgOHOg30xad+lldiwRuURR/5jI3uu+4hQ+XFa0h6KZ15C48w+zY0kFqSyJ1AIb5rzIFcfPXphza/dX6Nj7FpMTiUhVaR99HTl3LyXZ0oRgjuM/90a2rvnO7FhSASpLIiaLX/4V3RPeAGB9+ES6DR5jciIRqWoh4R3wGb+KnW4d8bHk0m7laNbPn252LCknlSURE+3bspbL1k7EyWKwoeFN9LjzWbMjiUg1qe8fTPik5WzyG4CrpZgrdjzPupkPU1xcbHY0uQiVJRGTpB3ej+939+BlyWebe1e6jv0Ii5N+JEUcmZuHJ1GPzmVD6AMAXJn6BfH/vYW8MzkmJ5Oy6F9mEROczs4g55PbCCSdg04hhD70Da5u7mbHEpEaYHFyosd9rxEb9Yrtk3IH/3stWSePmR1NLkBlSaSGFRcVsfe9YbQqPsBJ/HAb8S2+9RuZHUtEaljXG8eyZ+CXZBn1aFu4k/R3ryE1eZ/ZsaQUKksiNWzjx5PokruePMOV4zd8QpMWbcyOJCIm6dDzek7c/j3HaEgLazJOs67V1AK1kMqSSA3avHgW0SmfAbC924u07dbP5EQiYraw9t2xjl7OQacQAkmn0byb2RGzxOxY8hcqSyI1ZP+29bTb8BQA64PvotuND5qcSERqi+CQcBqMX8Eu1wh8OU340nvYtEQX4a0tVJZEasCp40fx+vZuvCz5bPWI4vL73zI7kojUMn6Ngmj52HLivXribikkcv0EYua8anYsQWVJpNoVFRaQ8uEwGnOcI5YgQsd8jbOLi9mxRKQW8vDypuOkH/mj0c04Wwyid7/I+o8mYVitZker01SWRKrZpg/H075gC2cMdwqGzsavUZDZkUSkFnN2caXb+E9Z3/zsW/VXHJ7FpvdGYdXklaZRWRKpRn/88B5XHJsHwO6eb9Ay4nKTE4mIPbA4OXHFqFeJafcvrIaFy098R9xbwygqyDc7Wp2ksiRSTRJ3/kGH2LOXL1nfbDRdB95jciIRsTfRwx5nc7dXKDScicpczrY3h5CXe9rsWHWOypJINcjJOoXzNyPxtBSwzb0rl9+rkzRFpHIuv/FBdvR6jzzDlcgzv7Pvv9eTk3XK7Fh1isqSSBUzrFYSPhxFc+sRjtGQpqO/1AndInJJuvS/g/0DPuO04UGHgniOvDWQjBNpZseqM1SWRKrYxvmvEpW9kkLDmfRB/6NhYFOzI4mIA2h/5WBShswjA2/aFCWQ/t61HEtJMjtWnaCyJFKF9sSuIXLn2bfcNl/2KG17DDA5kYg4ktaRfci64weO04Aw6yEKPryWo4cSzI7l8FSWRKpI5sk0fH4cjZulmLh6V9Fj+L/NjiQiDqh5224UjlxCiiWIZkYqTp8MImX/drNjOTSVJZEqYFitJH40wjbxZNj9n2Fx0o+XiFSPJi3b4Xz/Ug5ZmhHESVy/uIHkPfFmx3JY+tdcpApsmPsyXXLXk2+4kjvkE/wa+JsdSUQcXFDTMLweWEKiUygBnMLzq5s5tGuT2bEcksqSyCU6sH0DkbunAxDXdhLhna80OZGI1BUBjZvjN3Yp+51b4k8GPnNvYf+2DWbHcjgqSyKXIPd0Ns4LRuNuKWSLZw96DJtidiQRqWMaBjbBf9zP7HUOpyFZNPr2H+yNX2t2LIeisiRyCbZ+PJ5QazInqE/IfZ/oPCURMYVfoyACH/6ZBJc21CeHoO9vZ/fm1WbHchj6l12kkmJ//oIeJ38A4Og1b2o+JRExlV8Df5pOWMpu1wh8OU3TH+9g9x+/mB3LIagsiVRC2uH9hMWcfcttffBddOx9i8mJRETA27chzR9dwi63jvhYcglZeBcJG5eZHcvuqSyJVFBxUREnPh9JfXLY6xxO1/ummx1JRMTGy7s+LSYsZrtbF+pZ8mi26B72bFphdiy7prIkUkF/fPU87Qu2ccZwx2P4p7i5e5gdSUSkBE9vX8IeXci2PwtT44V3sTd2tdmx7JbKkkgFJO7YQNf97wGwvdPThIR3NDmRiEjpvOr5EPbIj+xw7YgPuQT9OJx98b+ZHcsuqSyJlFNBfh7FCx7CzVLEFs8eXH7LBLMjiYiUqZ6PHy0mLGSXa3t8OUPA98PYt2Wd2bHsjsqSSDnFfvE04cX7ycCbpvd8qGkCRMQu1POpT8gji9jt0g4/TtPou2GauLKC9K+9SDnsiV1Dt+RPANjf/QX8m4SanEhEpPy8fRvQ9OFF7HG5jAZk0/DbWzmwY6PZseyGypLIReSdycF94ThcLFY2+1xD1PWjzY4kIlJhPvUbEfzwEva5hNOAbPzm38bB3bFmx7ILKksiFxH/6SRCrYc5TgPC751pdhwRkUrzre9P4LglHHAOoxGZeM+5hcN7t5gdq9Zz6LLUokULLBZLidvLL79cYputW7fSq1cvPDw8CAkJ4dVXXzUprdRGO35fzBXH5gKQ0vtV/BoFmZxIROTS+DYMpNG4JRxwaoE/GbjOvoW0Qwlmx6rVHLosAbzwwgscPXrUdnvkkUds67KyshgwYAChoaFs3ryZ1157jeeee44PPvjAxMRSW5zJyaT+8okAbGx4I52vud3cQCIiVcSvUTC+Dy7moKUZQZyk6NObOHH0kNmxai2HL0s+Pj4EBwfbbvXq1bOtmz17NgUFBXz88ce0b9+eO+64gwkTJjB9umZkFtj6xZM0NdJIxZ92I98yO46ISJXyD2qKx+ifOGIJoqmRSs6HN5BxItXsWLWSw5ell19+mUaNGhEZGclrr71GUVGRbV1MTAy9e/fGzc3NtmzgwIEkJCRw6tSpUp8vPz+frKysEjdxPHtiV3N56hwA0npPw8evocmJRESqXnCzMLjne47RkBbWJI7PvIHszHSzY9U6Dl2WJkyYwJw5c1i1ahUPPvggL730Ek888YRtfWpqKkFBJc9BOXc/NbX0dj1t2jT8/Pxst5CQkOobgJiiID8P14UTcLYYbPK9Vm+/iYhDaxoWQe6wbziFL62L9pL8zk3kns42O1atYndlacqUKeedtP332+7duwGYNGkSV199NZ06dWLs2LG88cYbvP322+Tn51f69Z966ikyMzNtt+Tk5KoamtQSm2dPpaX1EKfwpdU9b5sdR0Sk2oW2i+LkLV+TjScRhdvY8/YQ8vNzzY5Va7iYHaCiJk+ezL333lvmNmFhYaUu79GjB0VFRRw8eJA2bdoQHBxMWlpaiW3O3Q8ODi71Odzd3XF3d694cLELh3ZtJurQR2CB/ZdPpVtAY7MjiYjUiPDOV7E7/3OaL7qbznmb2PzWUDpNXICrq9vFH+zg7K4sBQQEEBAQUKnHxsfH4+TkRGBgIADR0dE888wzFBYW4urqCsDy5ctp06YNDRo0qLLMYh+Ki4rI+3YcbpZi4r2iiRqkySdFpG5p230A2/M/4LJfRhN1+jc2vnMP3SZ8hZOzs9nRTGV3b8OVV0xMDG+++SZbtmzhwIEDzJ49m8cee4y7777bVoTuvPNO3NzcGD16NDt27GDu3LnMmDGDSZMmmZxezPDHvJdpU7SbHMOTxne+q2u/iUid1KHXEHZf9SZFhhPdM5ey6X8PYlitZscylcP+NnB3d2fOnDn06dOH9u3b8+KLL/LYY4+VmEPJz8+PZcuWkZiYSFRUFJMnT2bq1Kk88MADJiYXM6Qm7aVTwtnpAXZ0+CdBzVqZnEhExDydrr2H2K4vAdD92Hw2fv60yYnMZTEMwzA7hD3LysrCz8+PzMxMfH19zY4jlRT36iAiz/zOTtcOtJ3ya50/5CwiAhDz1f8jes9rAPzRYSqX3zbZ5ERVpyK/vx32yJJIecUv/4rIM79TaDjj9Y8ZKkoiIn+KvvNf/N70PgC6bvsPcT9/ZnIic6gsSZ12JieT4HVTAdjU9C5atOtmciIRkdolevR0NjS4EWeLQfvfJ7F93UKzI9U4lSWp07bM/hfBHOcoAXS56yWz44iI1DoWJyeixn1CXL2rcLMUEbrsfvZt/d3sWDVKZUnqrIO7NtEtZTYAaVf9B896PiYnEhGpnVxcXWn38Dx2unXCx5JL/QXDSd6/w+xYNUZlSeokw2rlzIJHcbUUE+fVky79h5sdSUSkVvPwrEfIuO854NwSfzJw+vIWjqUkmR2rRqgsSZ30xw/vElG4nTOGO43veMvsOCIidsGnfiP8HviRI5YgmhppZM26mayMk2bHqnYqS1LnZJxIpfWWVwHY2upBgpu3NjmRiIj9aBTUHMs933OS+oQXH+Dw+0MoyHPs68ipLEmdk/D1EzQgi4NOzYm6419mxxERsTtNwiI49Y+vyTE8icjfyrb37sKwFpsdq9qoLEmdsn/r71x+4kcATvd/BVc3XRRZRKQywjv1ZH+//1FoOBOVtYINH000O1K1UVmSOsOwWsn/6XGcLAabffrSvuf1ZkcSEbFrnXvfTFzkCwBckfI5G+a+YnKi6qGyJHVG7JKPiSjcTq7hRtPbXzc7joiIQ+g+5GFiQscC0G3nNOKWzzY5UdVTWZI64UxOJs3+ODvpZHyLUQSHhJucSETEcVwxchobG56d5bvt2ons3rTS7EhVSmVJ6oStc54niJOkWAKJHPZvs+OIiDgUi5MTXR/6mC2e3fG0FBC4cCTJ+7abHavKqCyJw0s5mECX5M8BSO3xDB5e3iYnEhFxPC6uboSPm89el3AakoVl9m2cPHbE7FhVQmVJHF7q/H/iYSlku3sXIgeMMDuOiIjDqudTnwb3f8dRSyDNjKMc/+AfnDmdZXasS6ayJA5t+7qf6Hr6V4oMJ+rd/DoWJ33Li4hUJ//g5hQNn08m9WhbtJuE9+7AWlRkdqxLot8c4rCKi4qot+LspJObA26hZcTlJicSEakbQi7rwtFBn5BvuBJ5eh2bPhxndqRLorIkDmvzD2/T0nqQDLxpO3ya2XFEROqUtj0GsrX72XmXuqfN5Y95r5qcqPJUlsQhnc7OIGzbmwDsvuwh/BoFmRtIRKQOunzwaH5vMR6AyB3T2Lb6G5MTVY7KkjikrfP+H/5kcNgSTNdb/2l2HBGROit6xP9jo991uFistFz1MIk7/zA7UoWpLInDOZ5ykM5JZ6cKONZ9Cm7uHiYnEhGpuyxOTnQe9yk73DribcnFY95wTqQmmx2rQlSWxOEkzn8GL0s+u13aETlwpNlxRETqPHd3T5o+8A3JliY05jgnP7qV3NM5ZscqN5UlcSiJOzYQlb7o7J0B/9FUASIitUR9/2C4cy6Z1KNNUQI7378La3Gx2bHKRb9JxKFk//QMzhaDWO/etO1+rdlxRETkL0Jad+LIgI8oMJyJylnN+o8nmx2pXFSWxGFsW7OATnl/UGA4EzhEUwWIiNRGET2vZ2vk8wD0PPIJG757x+REF6eyJA6huKiIemvO/vDFBt1Ks/AOJicSEZEL6TbkETY0vReAyPip7IpZYm6gi1BZEocQu3AmYdaDZOFF29v/Y3YcERG5iO6jpxPr3Qc3SzGNf76flAM7zY50QSpLYvfy887QLP5NAHaE3X/2JEIREanVLE7OtHtoNnucW1OfHAq/vJ2crHSzY5VKZUnsXtx3b9KY4xynAV1ufcLsOCIiUk6e9XzwGzWP4zQg1JrM/pnDa+VFd1WWxK6dzs6gdcJMAA5EjMezno/JiUREpCKCmoZx8sazF93tfGY9f3z8mNmRzqOyJHZt67cv04hMjliCiLz5EbPjiIhIJbSN6suWqP8HQI+Uz9n800yTE5XkUpGNf/zxxwq/wLXXXounp2eFHydyMZkn02h/8DMAjkZOoqkuayIiYre63zSW34/uoOfRz+mw6V/sadqWy7pebXYsACyGYRjl3dipgrMhWywW9u7dS1hYWIWD2YusrCz8/PzIzMzE19fX7Dh1Ssz/HiH66OckOrUg9JlYnJydzY4kIiKXoLi4mG2vD6ZLbgzHaYAxZhWBTVtWy2tV5Pd3hd+GS01NxWq1luvm5eVV6UGIlOVEyiG6pMwBILPnFBUlEREH4OzsTKuxX3HQqTkBnCLzk6HknTH/GnIVKksjR46s0Ftqd999t462SLXY/+1UPC0F7HZpR+drhpkdR0REqoiPX0Nc757HKXxoXbSX7e+PwLBaTc1UobL0ySef4ONT/k8bvf/++/j7+1c4lEhZjhzYRdcTPwFQ3PffuliuiIiDaRrWjpRr/0eh4Uy37BWs/+JfpubRbxmxOyk/TMXVUsxWjyjaXznY7DgiIlIN2l85mLj2UwAIPfgNZ3IyTctSoU/DTZo0qdzbTp8+vcJhRC7mUEI8XTOWgwU8Bz5ndhwREalG3W9/gvVfF3JZv3vx8vYzLUeFylJcXFy5trNYLJUKI3Ixxxf9h1CLQZxXTyIje5sdR0REqtkVw58xO0LFytKqVauqK4fIRR1KiCcycwVYwGeg+T88IiJSN1SoLP1dRkYGs2bNYteuXQC0b9+eUaNG4edn3qEycVwljip1vsrsOCIiUkdU+gTvTZs20apVK/773/+Snp5Oeno606dPp1WrVsTGxlZlRpH/O6qEjiqJiEjNqvSRpccee4ybbrqJDz/8EBeXs09TVFTE/fffz8SJE/n111+rLKSIjiqJiIhZKl2WNm3aVKIoAbi4uPDEE0/QrVu3KgknAn8/V8ncuTZERKTuqfTbcL6+viQlJZ23PDk5uUITV4pczPFF/8H5z6NK4Z2vNDuOiIjUMZUuS8OGDWP06NHMnTuX5ORkkpOTmTNnDvfffz/Dhw+vyoxShx1KiKer7VwlHVUSEZGaV+m34V5//XUsFgsjRoygqKgIAFdXVx566CFefvnlKgsodVvJc5V0VElERGqexTAM41Ke4MyZM+zfvx+AVq1a4eXlVSXB7EVWVhZ+fn5kZmbqosFVLGlPPM1mX42TxWDfLYv1FpyIiFSZivz+vqR5lgC8vLzo2LHjpT6NyHnSFr9Mcx1VEhERk11SWcrLy2Pr1q0cO3YMq9VaYt1NN910ScGkbjt6KIEup5aBBbyuedzsOCIiUodVuiwtXbqUESNGcOLEifPWWSwWiouLLymY1G1JP71CY0sx29270KHbNWbHERGROqzSn4Z75JFHGDp0KEePHsVqtZa4qSjJpTiZdpjOx388e6fXZHPDiIhInVfpspSWlsakSZMICgqqyjwi7PnhVTwshSS4tKF9zxvMjiMiInVcpcvSbbfdxurVq6swSsW8+OKL9OzZEy8vL+rXr1/qNklJSQwePBgvLy8CAwN5/PHHbdMcnLN69Wq6du2Ku7s74eHhfPrpp9UfXi4o89QJOhyZB0Buj4lYnCr9LSoiIlIlKn3O0jvvvMPQoUP57bff6NixI66uriXWT5gw4ZLDlaWgoIChQ4cSHR3NrFmzzltfXFzM4MGDCQ4O5vfff+fo0aOMGDECV1dXXnrpJQASExMZPHgwY8eOZfbs2axYsYL777+fxo0bM3DgwGrNL6Xb9cN0rrDkctCpOZ2uGWZ2HBERkcrPszRr1izGjh2Lh4cHjRo1wmKx/N+TWiwcOHCgykKW5dNPP2XixIlkZGSUWL5kyRJuuOEGUlJSbG8Vzpw5kyeffJLjx4/j5ubGk08+yaJFi9i+fbvtcXfccQcZGRksXbq0XK+veZaqTu7pbPJei6ABWWzq+grdbhprdiQREXFQFfn9Xen3OJ555hmef/55MjMzOXjwIImJibZbTRWlssTExNCxY8cS51QNHDiQrKwsduzYYdumf//+JR43cOBAYmJiajSrnLXlx7doQBYpliC6DBpldhwRERHgEt6GKygoYNiwYTjV0nNKUlNTzzv5/Nz91NTUMrfJysoiNzcXT0/P8543Pz+f/Px82/2srKyqjl4nFeTn0TLh7NupyREP0MTVzeREIiIiZ1W66YwcOZK5c+dWZRamTJmCxWIp87Z79+4qfc2KmjZtGn5+frZbSEiIqXkcxZZF/yOIkxynAZ1veMjsOCIiIjaVPrJUXFzMq6++ys8//0ynTp3OO8F7+vTpFX7OyZMnc++995a5TVhYWLmeKzg4mI0bN5ZYlpaWZlt37s9zy/66ja+vb6lHlQCeeuopJk2aZLuflZWlwnSJrMXFBG7/AID94SO5wrOeyYlERET+T6XL0rZt24iMjAQocYI0UOJk74oICAggICCgspFKiI6O5sUXX+TYsWMEBgYCsHz5cnx9fYmIiLBts3jx4hKPW758OdHR0Rd8Xnd3d9zd3asko5y1dfV8ulgPk2140v7GR82OIyIiUkKly9KqVauqMkeFJSUlkZ6eTlJSEsXFxcTHxwMQHh6Ot7c3AwYMICIignvuuYdXX32V1NRU/vWvfzF+/Hhb2Rk7dizvvPMOTzzxBKNGjWLlypXMmzePRYsWmTiyusd1wzsA7Gj8D67wa2hyGhERkZIqfM7S1KlT2bx5c3VkqXCOyMhInn32WXJycoiMjCQyMpJNmzYB4OzszMKFC3F2diY6Opq7776bESNG8MILL9ieo2XLlixatIjly5fTuXNn3njjDT766CPNsVSD9sSuoX3BNgoNZ1reoEubiIhI7VPheZZGjRrFwoULcXNz48Ybb+Smm26iX79+uLnVzU8vaZ6lS7P5jSFEZa/iD78BXP7YfLPjiIhIHVGt8yx9/PHHpKam8vXXX+Pj48PEiRPx9/fn1ltv5fPPPyc9Pb3SwaVuSTmYQJes1QA07K+jSiIiUjtVauoAJycnevXqxauvvkpCQgIbNmygR48e/O9//6NJkyb07t2b119/nSNHjlR1XnEgSYtfx9lisM29K606XmF2HBERkVJVyYyS7dq144knnmDdunUkJSUxcuRIfvvtN77++uuqeHpxQJnpx+mU9sPZOz0fMTeMiIhIGSp9bTg5S+csVU7MZ88QnfgOB5xa0PJfcVhq6UzwIiLimCry+7vCUwf84x//uOg2Li4uBAcHc+2113LjjTdW9CXEwRXk5xGeOBuAk50fJExFSUREarEK/5b666U+LnTz9PRk7969DBs2jKlTp1ZHbrFjW5Z8RACnOEZDOl+nC+aKiEjtVuEjS5988km5t124cCHjxo0rMbeR1G2G1Yr/1rOXNjnQ6h6ucPcwOZGIiEjZKv3+R1knbz/++OMAXHXVVXTr1q2yLyEOaPvan2hpPcRpw4N2N0wwO46IiMhFVbosPfTQQyxZsuS85Y899hhffvklAPXr12fBggWVTycOp3j9+wBsD7wBvwb+JqcRERG5uEqXpdmzZzN8+HDWrl1rW/bII48wb948068bJ7XTkQM76HR6PQBNBk40N4yIiEg5VbosDR48mPfee4+bbrqJzZs3M27cOBYsWMCqVato27ZtVWYUB5G89E2cLAZbPLsTEt7R7DgiIiLlUuETvP/qzjvvJCMjgyuvvJKAgADWrFlDeHh4VWUTB5KTdYoOaT+BBZyueMjsOCIiIuVWobI0adKkUpcHBATQtWtX3nvvPduy6dOnX1oycSjbF73PFZZcDjk1o0OvIWbHERERKbcKlaW4uLhSl4eHh5OVlWVbb7FYLj2ZOAxrcTFN93wBQGrbkYRqEkoREbEjFSpLOnFbKmPbmm/pbKSQhRcdBj1gdhwREZEKqdB/8bdu3YrVai339jt27KCoqKjCocSxWDbOBGBn0M3U86lvbhgREZEKqlBZioyM5OTJk+XePjo6mqSkpAqHEsdxaHcsnfI2U2xYaD7oMbPjiIiIVFiF3oYzDIN///vfeHl5lWv7goKCSoUSx5G6fAahwNZ6PYls0cbsOCIiIhVWobLUu3dvEhISyr19dHQ0np6eFQ4ljiEr4yQdTywBC7hdOd7sOCIiIpVSobK0evXqaoohjmjnkv9xhSWfg07NiYgeZHYcERGRStFnuKVaGFYrjffOBiCtzd1YNF2AiIjYKf0Gk2qxI2YRodbDnDY8iLhujNlxREREKk1lSapFQcyHAGz3vw4fv4YmpxEREak8lSWpcsdTDtIxey0AAX3HmZxGRETk0lS6LCUnJ1dlDnEg+5a+h6ulmF2u7Qnr0MPsOCIiIpekQp+G+6vQ0FAaNmxI586d6dKli+1WUFDAW2+9xWeffVaVOcVOFBUW0CppPgCnO400OY2IiMilq3RZSkxMJC4ujvj4eOLi4pg3bx4pKSkA+Pr6VllAsS9bV86lK+mk40vHa+8xO46IiMglu6QjS6GhoQwZMsS2LCYmhpEjR/LCCy9URTaxQ66xswBIaHIL0R7lm+ldRESkNqvSE7yjo6OZMWMGr7/+elU+rdiJ5L1b6Jgfh9WwEDpAM3aLiIhjqHRZutB131q3bs2OHTsqHUjs15Ff3gNgq1cPmug6cCIi4iAq/Tact7c3ERERREZG0qVLFyIjI2nSpAlvv/02/fv3r8qMYgfyzuQQkfYTAJbu95ucRkREpOpYDMMwKvPAtWvXsmXLFrZs2UJ8fDzbt28nLy8PgOuuu45u3brRsWNHOnbsSNu2bas0dG2SlZWFn58fmZmZdfrE9j9+eI/L457iKAEE/ms3zi6V7uEiIiLVriK/vyv9G+2qq67iqquust23Wq0kJCQQHx9PfHw8Gzdu5MMPP+TYsWMUFxdX9mXETtTbfvY6cAdDb6WxipKIiDiQKvut5uTkRLt27WjXrh3Dhw+3LU9LS6uql5Ba6lBCPBGF2yk2LIRd+4DZcURERKpUtV/uJCgoqLpfQkx2dOVMALZ59SCoWSuT04iIiFQtXRtOLklBfh5t0hadvdNVM3aLiIjjUVmSS7Jtxdc0IItjNKTD1beZHUdERKTKqSzJJXHb8jkA+5vejIurm8lpREREqp7KklRaSuJuOubHAhDaf6zJaURERKqHypJU2qFf/jyx270rTVo67lxaIiJSt6ksSaUUFRbQ6sgPABR0HmFyGhERkeqjsiSVsn31NwSSTjq+dOw3/OIPEBERsVMqS1I5sZ8BsCf4RtzcPUwOIyIiUn1UlqTCTqQcouOZDQA0uUYzdouIiGNTWZIK2/fLRzhbDHa5RtD8si5mxxEREalWKktSIYbVSuOD3wGQ3fZ2k9OIiIhUP5UlqZA9sasJtSaTa7jRrr8ubyIiIo5PZUkqJCPm7IndO/z64OPX0OQ0IiIi1U9lScot70wO7U4uA8Dj8ntMTiMiIlIzVJak3Lav+hpfzpBKABE9bzA7joiISI1QWZJyc9s2B4CDzW7CydnZ5DQiIiI1Q2VJyiXt8H465G4GIOSa0SanERERqTkqS1IuB1bMwslisNOtI03D2psdR0REpMaoLMlFGVYrzf6cWymnneZWEhGRusVuy9KLL75Iz5498fLyon79+qVuY7FYzrvNmTOnxDarV6+ma9euuLu7Ex4ezqefflr94e1MwqYVhBgpnDHcad9/hNlxREREapTdlqWCggKGDh3KQw89VOZ2n3zyCUePHrXdhgwZYluXmJjI4MGD6du3L/Hx8UycOJH777+fn3/+uZrT25esmE8B2FG/L/V86puaRUREpKa5mB2gsp5//nmAix4Jql+/PsHBwaWumzlzJi1btuSNN94AoF27dqxdu5b//ve/DBw4sErz2qu8Mzm0S18BFvDqrqNKIiJS99jtkaXyGj9+PP7+/nTv3p2PP/4YwzBs62JiYujfv3+J7QcOHEhMTMwFny8/P5+srKwSN0e2Y/VcfCy5pBJAuyuuMzuOiIhIjbPbI0vl8cILL3DNNdfg5eXFsmXLGDduHDk5OUyYMAGA1NRUgoKCSjwmKCiIrKwscnNz8fT0PO85p02bZjuqVRc4b58PQGKT6wnW3EoiIlIH1aojS1OmTCn1pOy/3nbv3l3u5/v3v//NlVdeSWRkJE8++SRPPPEEr7322iVlfOqpp8jMzLTdkpOTL+n5arNTx4/S/vRGAJr00kVzRUSkbqpVR5YmT57MvffeW+Y2YWFhlX7+Hj168J///If8/Hzc3d0JDg4mLS2txDZpaWn4+vqWelQJwN3dHXd390pnsCd7Vn5OD0sx+5xbEd4uyuw4IiIipqhVZSkgIICAgIBqe/74+HgaNGhgKzvR0dEsXry4xDbLly8nOjq62jLYE7+9Z+dWOhE2hHCTs4iIiJilVpWlikhKSiI9PZ2kpCSKi4uJj48HIDw8HG9vb3766SfS0tK44oor8PDwYPny5bz00kv885//tD3H2LFjeeedd3jiiScYNWoUK1euZN68eSxatMikUdUeRw7soG3RLooNC+F99RaciIjUXXZblqZOncpnn31mux8ZGQnAqlWruPrqq3F1deXdd9/lsccewzAMwsPDmT59OmPGjLE9pmXLlixatIjHHnuMGTNm0KxZMz766CNNGwAkrf6MpsAOz650ahJqdhwRERHTWIy/fpZeKiwrKws/Pz8yMzPx9fU1O06VMKxWDv+nPSFGCn9ETuPym8eZHUlERKRKVeT3d636NJzUDnvjf7Vd3iTimjvNjiMiImIqlSU5z6mYLwDY6ddLlzcREZE6T2VJSigsyKf18WUAuEbeYXIaERER86ksSQk71/5AQ7I4iR/tr7rZ7DgiIiKmU1mSEgrj5gCwN3AgLq5uJqcRERExn8qS2JzJySQiay0ADa+42+Q0IiIitYPKktjsXDMPL0s+hy3BtO7Sy+w4IiIitYLKktg471gAQHKTQVic9K0hIiICKkvyp8xTJ2h/eiMAwVfeZXIaERGR2kNlSQBIWP01bpYiDjo1p2XE5WbHERERqTVUlgQAj4QfADgacr3JSURERGoXlSXh1PGjRORuBqBZL30KTkRE5K9UloQ9q2fjYrGy1zmckPCOZscRERGpVVSWBO+9Z9+CO9lisMlJREREah+VpTrueMpB2uVvAyC0tz4FJyIi8ncqS3Xc/tVf4mQx2O0aQePQNmbHERERqXVUluq4+gcWApARdqPJSURERGonlaU6LOVgAm2LdlFsWAjvq0/BiYiIlEZlqQ5L+vVLAHZ5dMY/uLnJaURERGonlaU6zP/QIgDOtL7Z5CQiIiK1l8pSHXXkwA7Ci/dTZDjRus9ws+OIiIjUWipLdVTy2jnA2bfgGgQ0NjmNiIhI7aWyVEc1TFoKwJnwG0xOIiIiUrupLNVBRw8lcFnRHooNC616DTM7joiISK2mslQHHVo7F4Dd7h3wDw4xOY2IiEjtprJUB9U/uASAnDBdC05ERORiVJbqmGNHEmlbuBOAsN76FJyIiMjFqCzVMQd+/RqAXa4RBDRpYW4YERERO6CyVMf4Ji4GILPl9SYnERERsQ8qS3XIidQk2uZvB6DFVXeYnEZERMQ+qCzVIft/nYOTxWCPy2UEN29tdhwRERG7oLJUh9Tbf/ZacOmhg0xOIiIiYj9UluqI9GNHaJu3FYCQK/UpOBERkfJSWaoj9v02DxeLlX3OrWga1s7sOCIiInZDZamO8Ni7EIDjza8zOYmIiIh9UVmqA7IyTtI2Nw6AptG3m5xGRETEvqgs1QF71i3AzVLMIadmNL+si9lxRERE7IrKUh1g2X32U3ApwdeYnERERMT+qCw5uPy8M7TJWg9Aw663mJxGRETE/qgsObiEmMV4W3I5TgNaR/YxO46IiIjdUVlycLnbfwTgQKM+ODk7m5xGRETE/qgsOTBrcTGtTq4BwLPjTSanERERsU8qSw5sT9xq/Mkg2/CkbfRgs+OIiIjYJZUlB3Yq9nsA9vhG4+buYW4YERERO6Wy5MCapK4EwGh7vclJRERE7JfKkoM6lBBPqPUwBYYzl135D7PjiIiI2C2VJQeVsuFbAHZ7RuJbv5HJaUREROyXypKDapi0DIDcMF04V0RE5FKoLDmgEymHaFO0G4Cwq4aanEZERMS+qSw5oP3r5gOQ4NKGgCYtzA0jIiJi51SWHJDn/qUApIdca3ISERER+6ey5GBOZ2fQNjcOgMbddeFcERGRS6Wy5GD2xCzEzVJEiiWI0DZdzY4jIiJi91SWHEzhriUAJPn3xuKk3SsiInKp7PK36cGDBxk9ejQtW7bE09OTVq1a8eyzz1JQUFBiu61bt9KrVy88PDwICQnh1VdfPe+55s+fT9u2bfHw8KBjx44sXry4poZR5azFxbQ8tQ6Aeh11LTgREZGqYJdlaffu3VitVv73v/+xY8cO/vvf/zJz5kyefvpp2zZZWVkMGDCA0NBQNm/ezGuvvcZzzz3HBx98YNvm999/Z/jw4YwePZq4uDiGDBnCkCFD2L59uxnDumT7t/1OAKc4bXhwWfeBZscRERFxCBbDMAyzQ1SF1157jffff58DBw4A8P777/PMM8+QmpqKm5sbAFOmTOH7779n9+6zcxANGzaM06dPs3DhQtvzXHHFFXTp0oWZM2eW63WzsrLw8/MjMzMTX1/fKh5VxcR8/DjRSR8QW68XXR9fePEHiIiI1FEV+f1tl0eWSpOZmUnDhg1t92NiYujdu7etKAEMHDiQhIQETp06Zdumf//+JZ5n4MCBxMTEXPB18vPzycrKKnGrLfxTVgFQFD7A5CQiIiKOwyHK0r59+3j77bd58MEHbctSU1MJCgoqsd25+6mpqWVuc259aaZNm4afn5/tFhISUlXDuCQnUg7RumgvAGHRmjJARESkqtSqsjRlyhQsFkuZt3NvoZ1z5MgRrrvuOoYOHcqYMWOqPeNTTz1FZmam7ZacnFztr1keB2K+A2CPy2X4B9eOAiciIuIIXMwO8FeTJ0/m3nvvLXObsLAw299TUlLo27cvPXv2LHHiNkBwcDBpaWkllp27HxwcXOY259aXxt3dHXd394uOpaa57j974dyTTa8xOYmIiIhjqVVlKSAggICAgHJte+TIEfr27UtUVBSffPIJTn+bUyg6OppnnnmGwsJCXF1dAVi+fDlt2rShQYMGtm1WrFjBxIkTbY9bvnw50dHRVTOgGpKXe5o2pzeBBQK63mR2HBEREYdSq96GK68jR45w9dVX07x5c15//XWOHz9OampqiXON7rzzTtzc3Bg9ejQ7duxg7ty5zJgxg0mTJtm2efTRR1m6dClvvPEGu3fv5rnnnmPTpk08/PDDZgyr0vasX4KXJZ9jNKRVR/sqeiIiIrVdrTqyVF7Lly9n37597Nu3j2bNmpVYd24mBD8/P5YtW8b48eOJiorC39+fqVOn8sADD9i27dmzJ1999RX/+te/ePrpp2ndujXff/89HTp0qNHxXKrcHYsASGx4FYGatVtERKRKOcw8S2Yxe54lw2ol9YXLaMxx4q+aSZf+w2s8g4iIiL2pk/Ms1VUHd2+mMcfJM1xpE32D2XFEREQcjsqSnUv943sAErwi8aznY24YERERB6SyZOfqHz47a3dey2tNTiIiIuKYVJbsWOapE7Qu2AVASPebTU4jIiLimFSW7Nj+9T/hYrFyyKkZTVq0MTuOiIiIQ1JZsmNFe5YDcDTgKpOTiIiIOC6VJTtlWK20OBUDQL2IgSanERERcVwqS3bq4K4/CCSdXMON1t1VlkRERKqLypKdSos9O2v3Hq8ueHjWMzmNiIiI41JZslM+yasByG3e19QcIiIijk5lyQ7lZJ2idf52AJpdfpPJaURERBybypId2rdhCW6WYg5bgmkWbl8X/RUREbE3Kkt2KH/3zwAcadTT5CQiIiKOT2XJzhhWKyHpvwPgoSkDREREqp3Kkp1J3reVJsYxCgwXWncfZHYcERERh6eyZGdSNv0EQIJHR7y8/UxOIyIi4vhUluyMV9JqAE5rygAREZEaobJkR/LO5HBZ7hYAGne9weQ0IiIidYPKkh1J2LAED0shqfjTvE2k2XFERETqBJUlO5K78+yUAYca9sTipF0nIiJSE/Qb1440OXl2ygC3Nv1NTiIiIlJ3qCzZidTkfTS3HqHYsBDWfbDZcUREROoMlSU7kbRpMQD7XC/Dr4G/yWlERETqDpUlO+F0YDUA6cFXmhtERESkjlFZsgPW4mLCsv8AwK/9AJPTiIiI1C0qS3YgcccGGpLFGcOd8K6ajFJERKQmqSzZgeNblgKw16sLbu4eJqcRERGpW1SW7EC9w78BkBvSy+QkIiIidY/KUi2Xl3ua1nnbAAiOHGRyGhERkbpHZamW27fpFzwshRyjIaFtupodR0REpM5RWarlsnf+AsAhv8t1iRMRERET6LdvLRdwbB0Allb6FJyIiIgZVJZqsVPHjxJWdACAFrrEiYiIiClUlmqxAxsX4WQxSHRqgX9wc7PjiIiI1EkqS7VY8b6VAKQFXGFyEhERkbpLZamWMqxWmp/aCIBn2/4mpxEREam7VJZqqcMHdhDMcQoMF1pfruvBiYiImEVlqZbKSNnHSfzY6x6Bl7ef2XFERETqLBezA0jpOva+BeuVN+F86rjZUUREROo0HVmqxZycnanvH2x2DBERkTpNZUlERESkDCpLIiIiImVQWRIREREpg8qSiIiISBlUlkRERETKoLIkIiIiUgaVJREREZEyqCyJiIiIlEFlSURERKQMKksiIiIiZVBZEhERESmDypKIiIhIGVSWRERERMrgYnYAe2cYBgBZWVkmJxEREZHyOvd7+9zv8bKoLF2i7OxsAEJCQkxOIiIiIhWVnZ2Nn59fmdtYjPJUKrkgq9VKSkoKPj4+WCyWKn3urKwsQkJCSE5OxtfXt0qfuzZw9PGB449R47N/jj5Gjc/+VdcYDcMgOzubJk2a4ORU9llJOrJ0iZycnGjWrFm1voavr6/D/hCA448PHH+MGp/9c/Qxanz2rzrGeLEjSufoBG8RERGRMqgsiYiIiJRBZakWc3d359lnn8Xd3d3sKNXC0ccHjj9Gjc/+OfoYNT77VxvGqBO8RURERMqgI0siIiIiZVBZEhERESmDypKIiIhIGVSWRERERMqgsmSy5557DovFUuLWtm1b2/q8vDzGjx9Po0aN8Pb25tZbbyUtLc3ExBf366+/cuONN9KkSRMsFgvff/99ifWGYTB16lQaN26Mp6cn/fv3Z+/evSW2SU9P56677sLX15f69eszevRocnJyanAUF3ax8d17773n7dPrrruuxDa1eXzTpk3j8ssvx8fHh8DAQIYMGUJCQkKJbcrzfZmUlMTgwYPx8vIiMDCQxx9/nKKiopocSqnKM76rr776vH04duzYEtvU1vEBvP/++3Tq1Mk2iV90dDRLliyxrbfn/QcXH5+977+/e/nll7FYLEycONG2zN734V+VNr5atw8NMdWzzz5rtG/f3jh69Kjtdvz4cdv6sWPHGiEhIcaKFSuMTZs2GVdccYXRs2dPExNf3OLFi41nnnnGWLBggQEY3333XYn1L7/8suHn52d8//33xpYtW4ybbrrJaNmypZGbm2vb5rrrrjM6d+5srF+/3vjtt9+M8PBwY/jw4TU8ktJdbHwjR440rrvuuhL7ND09vcQ2tXl8AwcOND755BNj+/btRnx8vHH99dcbzZs3N3JycmzbXOz7sqioyOjQoYPRv39/Iy4uzli8eLHh7+9vPPXUU2YMqYTyjK9Pnz7GmDFjSuzDzMxM2/raPD7DMIwff/zRWLRokbFnzx4jISHBePrppw1XV1dj+/bthmHY9/4zjIuPz973319t3LjRaNGihdGpUyfj0UcftS239314zoXGV9v2ocqSyZ599lmjc+fOpa7LyMgwXF1djfnz59uW7dq1ywCMmJiYGkp4af5eJqxWqxEcHGy89tprtmUZGRmGu7u78fXXXxuGYRg7d+40AOOPP/6wbbNkyRLDYrEYR44cqbHs5XGhsnTzzTdf8DH2ND7DMIxjx44ZgLFmzRrDMMr3fbl48WLDycnJSE1NtW3z/vvvG76+vkZ+fn7NDuAi/j4+wzj7D/Vf/+H+O3sa3zkNGjQwPvroI4fbf+ecG59hOM7+y87ONlq3bm0sX768xJgcZR9eaHyGUfv2od6GqwX27t1LkyZNCAsL46677iIpKQmAzZs3U1hYSP/+/W3btm3blubNmxMTE2NW3EuSmJhIampqiTH5+fnRo0cP25hiYmKoX78+3bp1s23Tv39/nJyc2LBhQ41nrozVq1cTGBhImzZteOihhzh58qRtnb2NLzMzE4CGDRsC5fu+jImJoWPHjgQFBdm2GThwIFlZWezYsaMG01/c38d3zuzZs/H396dDhw489dRTnDlzxrbOnsZXXFzMnDlzOH36NNHR0Q63//4+vnMcYf+NHz+ewYMHl9hX4Dg/gxca3zm1aR/qQrom69GjB59++ilt2rTh6NGjPP/88/Tq1Yvt27eTmpqKm5sb9evXL/GYoKAgUlNTzQl8ic7l/us3+Ln759alpqYSGBhYYr2LiwsNGza0i3Ffd911/OMf/6Bly5bs37+fp59+mkGDBhETE4Ozs7Ndjc9qtTJx4kSuvPJKOnToAFCu78vU1NRS9/G5dbVFaeMDuPPOOwkNDaVJkyZs3bqVJ598koSEBBYsWADYx/i2bdtGdHQ0eXl5eHt789133xEREUF8fLxD7L8LjQ8cY//NmTOH2NhY/vjjj/PWOcLPYFnjg9q3D1WWTDZo0CDb3zt16kSPHj0IDQ1l3rx5eHp6mphMKuuOO+6w/b1jx4506tSJVq1asXr1avr162disoobP34827dvZ+3atWZHqRYXGt8DDzxg+3vHjh1p3Lgx/fr1Y//+/bRq1aqmY1ZKmzZtiI+PJzMzk2+++YaRI0eyZs0as2NVmQuNLyIiwu73X3JyMo8++ijLly/Hw8PD7DhVrjzjq237UG/D1TL169fnsssuY9++fQQHB1NQUEBGRkaJbdLS0ggODjYn4CU6l/vvn9r465iCg4M5duxYifVFRUWkp6fb5bjDwsLw9/dn3759gP2M7+GHH2bhwoWsWrWKZs2a2ZaX5/syODi41H18bl1tcKHxlaZHjx4AJfZhbR+fm5sb4eHhREVFMW3aNDp37syMGTMcZv9daHylsbf9t3nzZo4dO0bXrl1xcXHBxcWFNWvW8NZbb+Hi4kJQUJBd78OLja+4uPi8x5i9D1WWapmcnBz2799P48aNiYqKwtXVlRUrVtjWJyQkkJSUVOK9eXvSsmVLgoODS4wpKyuLDRs22MYUHR1NRkYGmzdvtm2zcuVKrFar7QfGnhw+fJiTJ0/SuHFjoPaPzzAMHn74Yb777jtWrlxJy5YtS6wvz/dldHQ027ZtK1EKly9fjq+vr+2tErNcbHyliY+PByixD2vr+C7EarWSn59v9/vvQs6NrzT2tv/69evHtm3biI+Pt926devGXXfdZfu7Pe/Di43P2dn5vMeYvg+r/JRxqZDJkycbq1evNhITE41169YZ/fv3N/z9/Y1jx44ZhnH246HNmzc3Vq5caWzatMmIjo42oqOjTU5dtuzsbCMuLs6Ii4szAGP69OlGXFyccejQIcMwzk4dUL9+feOHH34wtm7datx8882lTh0QGRlpbNiwwVi7dq3RunXrWvPR+rLGl52dbfzzn/80YmJijMTEROOXX34xunbtarRu3drIy8uzPUdtHt9DDz1k+Pn5GatXry7xsd0zZ87YtrnY9+W5j/UOGDDAiI+PN5YuXWoEBATUio8tX2x8+/btM1544QVj06ZNRmJiovHDDz8YYWFhRu/evW3PUZvHZxiGMWXKFGPNmjVGYmKisXXrVmPKlCmGxWIxli1bZhiGfe8/wyh7fI6w/0rz90+H2fs+/Lu/jq827kOVJZMNGzbMaNy4seHm5mY0bdrUGDZsmLFv3z7b+tzcXGPcuHFGgwYNDC8vL+OWW24xjh49amLii1u1apUBnHcbOXKkYRhnpw/497//bQQFBRnu7u5Gv379jISEhBLPcfLkSWP48OGGt7e34evra9x3331Gdna2CaM5X1njO3PmjDFgwAAjICDAcHV1NUJDQ40xY8aU+HirYdTu8ZU2NsD45JNPbNuU5/vy4MGDxqBBgwxPT0/D39/fmDx5slFYWFjDoznfxcaXlJRk9O7d22jYsKHh7u5uhIeHG48//niJOV4Mo/aOzzAMY9SoUUZoaKjh5uZmBAQEGP369bMVJcOw7/1nGGWPzxH2X2n+XpbsfR/+3V/HVxv3ocUwDKPqj1eJiIiIOAadsyQiIiJSBpUlERERkTKoLImIiIiUQWVJREREpAwqSyIiIiJlUFkSERERKYPKkoiIiEgZVJZEREREyqCyJCIiIlIGlSURcXgWi6XM23PPPVfm4/v27ctHH31U6rqrr76aiRMnllg2Y8YM3N3dmTNnThWNQETM5GJ2ABGR6nb06FHb3+fOncvUqVNJSEiwLfP29r7gY9PT01m3bl25i8+zzz7L66+/zg8//MB1111X+dAiUmuoLImIwwsODrb93c/PD4vFUmJZWRYtWkTXrl0JCgoqczvDMJgwYQJffvkly5cvp2fPnpeUWURqD5UlEZEy/Pjjj9x8881lblNUVMTdd9/NypUrWbNmDZ06daqhdCJSE1SWREQuID8/n6VLl170nKYPP/wQgC1bttC2bdsaSCYiNUkneIuIXMDKlSsJDAykffv2ZW531VVX4e3tzb///W+KiopqKJ2I1BSVJRGRC/jxxx+56aabLrpdx44dWbFiBatWrWLYsGEqTCIORmVJRKQUhmHw008/XfR8pXO6dOnCihUr+PXXX7n99tspLCys5oQiUlNUlkRESrF582bOnDnDVVddVe7HdO7cmZUrV7J27VoVJhEHorIkIlKKH374geuvvx4Xl4p9DqZjx46sXLmS33//naFDh1JQUFBNCUWkplgMwzDMDiEiUtt06tSJf/3rX9x+++1mRxERk+nIkojI3xQUFHDrrbcyaNAgs6OISC2gI0siIiIiZdCRJREREZEyqCyJiIiIlEFlSURERKQMKksiIiIiZVBZEhERESmDypKIiIhIGVSWRERERMqgsiQiIiJSBpUlERERkTL8f148QJqBzcAsAAAAAElFTkSuQmCC",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "T = np.linspace(50, 450, 1000)\n",
+    "Tm = 350\n",
+    "dH0 = 200e3\n",
+    "#dcp0 = 0.1\n",
+    "dcp0 = 2e3   # hydrophobic effect\n",
+    "\n",
+    "print(\"Predicted Tm2: \")\n",
+    "print(Tm**2 / (Tm + 2 * dH0 / dcp0))\n",
+    "\n",
+    "dH0_ = dH0 + dcp0 * (T - Tm)\n",
+    "dS0 = dH0 / Tm + dcp0 * np.log(T / Tm)\n",
+    "dmu0 = dH0_ - T * dS0\n",
+    "K = np.exp(- (dmu0 / (R*T)))\n",
+    "\n",
+    "plt.title(\"Unfolding probability\")\n",
+    "plt.xlabel(\"T / K\")\n",
+    "plt.plot(T, K / (1 + K))\n",
+    "plt.show()\n",
+    "\n",
+    "dH = K / (1 + K) * dH0_\n",
+    "plt.title(\"Enthalpy\")\n",
+    "plt.xlabel(\"T / K\")\n",
+    "plt.ylabel(\"$\\Delta H$ [kJ / mol]\")\n",
+    "plt.plot(T, dH0_ / 1000, label='$\\Delta H = \\Delta H_0 + \\Delta c_p (T - T_m)$')\n",
+    "plt.plot(T, dH / 1000, label='$H = K / (1 + K) \\Delta H$')\n",
+    "plt.legend()\n",
+    "plt.show()\n",
+    "\n",
+    "\n",
+    "dcp = np.gradient(dH, T)\n",
+    "plt.title(\"Heat capacity\")\n",
+    "plt.xlabel(\"T / K\")\n",
+    "plt.ylabel(\"$\\Delta c_p$ [kJ / mol K]\")\n",
+    "plt.plot(T, dcp / 1000)\n",
+    "plt.show()\n",
+    "\n",
+    "dS = np.zeros_like(dcp)\n",
+    "for i in range(0, T.size):\n",
+    "    dS[i] = simpson((dcp / T)[:i+1], T[:i+1]) + dS0[0]\n",
+    "dmu = dH - T * dS\n",
+    "\n",
+    "plt.title(\"Entropy\")\n",
+    "plt.xlabel(\"T / K\")\n",
+    "plt.ylabel(\"$\\Delta S$ [kJ / mol K]\")\n",
+    "plt.plot(T, dS0 / 1000,\n",
+    "         label='$\\Delta S_0 = \\Delta H_0 / T_m + \\Delta c_{p0} \\\\log(T / T_m)$')\n",
+    "plt.plot(T, dS / 1000, label=' $S = \\int c_p / T dT $')\n",
+    "plt.plot(T, (dH / Tm) / 1000,\n",
+    "         label='$H / T_m$', linestyle='dashed')\n",
+    "plt.legend()\n",
+    "plt.show()\n",
+    "\n",
+    "plt.title(\"Chemical potential\")\n",
+    "plt.xlabel(\"T / K\")\n",
+    "plt.ylabel(\"$\\mu$ [kJ/mol]\")\n",
+    "plt.plot(T, dmu0 / 1000, label='$\\Delta H - T \\Delta S_0$')\n",
+    "plt.plot(T, dmu / 1000, label='$H - T S$')\n",
+    "plt.legend()\n",
+    "plt.show()\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Helix coil transition with infinite cooperativity"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 24,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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vvvsuSkpKrD9//PHHOHv2rPV/DikpKYiPj8fLL7+M0tLSRsfn5+cDMK+RMWHCBHzxxRfYuXNno3KWv5z8/PwAoNH/9EePHo3AwEDMnz8fNTU1Ds8TFRWF/v37Y9WqVTbN6Zs2bcK+ffucXpfmUqvVkCTJZjrq8ePHG60yOWHCBKhUKjz77LON/rpu+Jejn5+fSx96gwYNQnh4OJYtW2bTNfT1119j//79GDduXPNe0EXS0tKg0+nwn//8x6aeb731FoqKilrsPI7ceuutMBqNeO655xrtq62tdSsghIWFYfjw4Vi5ciVOnjxps6/ha1Or1Y3+mn/ttddcngbdkNFobNS1Ex4ejujoaOu/m6u/R2q1GmlpaVi3bp3N2IojR440Ght2qVytk7vsvb9duUakLGwZIae+/vprHDhwoNH2oUOHolu3bti/fz+efvppTJkyBePHjwdgXkq+f//+uP/++/Hf//7X5riQkBBcccUVmDp1KnJzc/Hqq6+ie/fumDZtGgBzyFixYgXGjh2Lvn37YurUqejUqRNOnz6NrVu3IjAwEF988QUA88qLGzduxIgRI3Dvvfeid+/eOHv2LNauXYvvv/8ewcHB6N+/P9RqNV544QUUFRVBr9fjqquuQnh4OJYuXYo777wTAwcOxF/+8heEhYXh5MmTWL9+PS6//HIsXrwYALBgwQKMGzcOV1xxBe666y6cP38er732Gvr27Wv3f6qXaty4cVi4cCHGjBmD22+/HXl5eViyZAm6d++OX3/91Vque/fuePLJJ/Hcc89h2LBhuPHGG6HX6/Hzzz8jOjoaCxYsAGD+EFi6dCn++c9/onv37ggPD7c7Vkar1eKFF17A1KlTMWLECNx2223Izc3FokWLEBcXh4ceeqhFXl9YWBhmz56NZ555BmPGjMF1112HgwcP4vXXX8fgwYPx17/+tUXO48iIESPwt7/9DQsWLEBWVhauueYaaLVaHD58GGvXrsWiRYtw8803u/x8//nPf3DFFVdg4MCBuPfee9G1a1ccP34c69evR1ZWFgDgz3/+M9577z0EBQWhT58+yMzMxObNm9GxY0e3619SUoLOnTvj5ptvRnJyMvz9/bF582b8/PPP1pYXd36P5s2bh40bN+Lyyy/H9OnTYTQasXjxYiQmJlrr3xLcqZM7UlJSsHnzZixcuBDR0dHo2rUrevXq1eQ1IoWRbR4PKZqzqb2om9pYW1srBg8eLDp37mwz7VUIIRYtWiQAiDVr1ggh6qcsfvTRR2L27NkiPDxc+Pj4iHHjxjWaEimEEHv27BE33nij6Nixo9Dr9SI2NlbceuutIj093abciRMnxKRJk0RYWJjQ6/WiW7du4oEHHhBVVVXWMm+++abo1q2bUKvVjaZNbt26VYwePVoEBQUJg8Eg4uPjxZQpU8TOnTttzvO///1P9O7dW+j1etGnTx/xySefiMmTJ1/y1F5HUw/feust0aNHD6HX60VCQoJ4++23rdMdL7Zy5UoxYMAAodfrRYcOHcSIESPEpk2brPtzcnLEuHHjREBAgABgnarqaBrpmjVrrM8XEhIi7rjjDvHHH3+49Joc1dGexYsXi4SEBKHVakVERISYPn26zVomDZ/P1am97tRp+fLlIiUlRfj4+IiAgADRr18/8eijj4ozZ85Yy7gytVcIIX7//Xdxww03iODgYGEwGESvXr3E008/bd1/4cIFMXXqVBEaGir8/f3F6NGjxYEDB0RsbKzNtFRXpvZWVVWJRx55RCQnJ4uAgADh5+cnkpOT7a7v4urvUXp6uhgwYIDQ6XQiPj5erFixQvzjH/8QBoPBppy996zlmrz00ks22y2vZe3atW7XydG/u+X/Sw2nFh84cEAMHz5c+Pj4CABi8uTJbl0jUgZJCBdGAhFdooyMDFx55ZVYu3atW391EpE8JkyYgL1799odL0XU0jhmhIjIy1VUVNj8fPjwYXz11VfWWwcQtTaOGSEi8nLdunXDlClTrOu8LF26FDqdDo8++qjcVSMvwTBCROTlxowZg48++gg5OTnQ6/VITU3F/Pnz7S72R9QaOGaEiIiIZMUxI0RERCQrhhEiIiKSlUeMGTGZTDhz5gwCAgKadTdSIiIiantCCJSUlCA6OrrR3cUb8ogwcubMmUZ3hCQiIiLPcOrUKXTu3Nnhfo8IIwEBAQDML6ap20YTERGRMhQXFyMmJsb6Oe6IR4QRS9dMYGAgwwgREZGHaWqIBQewEhERkawYRoiIiEhWDCNEREQkK48YM0JERNQSjEYjampq5K5Gu6HVaqFWqy/5eRhGiIio3RNCICcnB4WFhXJXpd0JDg5GZGTkJa0DxjBCRETtniWIhIeHw9fXlwtotgAhBMrLy5GXlwcAiIqKavZzMYwQEVG7ZjQarUGkY8eOclenXfHx8QEA5OXlITw8vNldNhzASkRE7ZpljIivr6/MNWmfLNf1UsbiMIwQEZFXYNdM62iJ68owQkRERLJyO4x8++23GD9+PKKjoyFJEtatW9fkMRkZGRg4cCD0ej26d++Od955pxlVJSIiovbI7TBSVlaG5ORkLFmyxKXy2dnZGDduHK688kpkZWVh5syZuOeee/DNN9+4XVkiIiJyX2VlJaZMmYJ+/fpBo9FgwoQJdsvJ1Xjg9myasWPHYuzYsS6XX7ZsGbp27YpXXnkFANC7d298//33+Pe//43Ro0e7e/oWdehEFsorS60/X9ztJTX4LyDVf2str2rwPS4uDZsDGj23qr6U3fPW77i4P67hT5IESLZbbL+3qYJkc65G57Wc76JXYb+8yua8jboMbc5z0Xkh2RSQGpS7+AnVKuniS2f+uck+SgmNj2y4W7Ipae94h5uaOLfUVMZvdJ2dn7vxtbV/nKN/t8anb+pvEMnxa3TyXnR2bsnynCrnI+1d6XuWIEGr0rL/n8gNRqMRPj4++Pvf/47//e9/dstYGg/uu+8+fPDBB0hPT8c999yDqKioVv+8bvWpvZmZmUhLS7PZNnr0aMycOdPhMVVVVaiqqrL+XFxc3Cp1m/3NZBzSm1rluYmo9fhofBDmE4auQV3xp6g/YXz8eATpg+SuFlGLGjlyJJKSkmAwGLBixQrodDrcd999mDdvntvP5efnh6VLlwIAfvjhB7uLv8nZeNDqYSQnJwcRERE22yIiIlBcXIyKigrrHOWGFixYgGeeeaa1qwYNJOhNoslyTZeoK+fGH2quPqc7XK5nC5cDAMG/UqkNVdRW4GTJSZwsOYltf2zD4qzFeOpPT+HP3f4sd9XIAwghUFFjlOXcPlq1W616q1atwqxZs7Bjxw5kZmZiypQpuPzyyzFq1CiMHTsW3333ncNjY2NjsXfvXpfP1ZzGg5aiyEXPZs+ejVmzZll/Li4uRkxMTIufZ829WS3+nC1FCHHRzxftd1a20XM13Of8eZ2fU1h3OK+PyeE+ABAm4XCn+RzC+ppqjALVRhOqaox1X02orjWiqtaIqhoTyqprUVxRjaLyWlyoqEFhRTUulFchp7ASfxRWoKK68f9wJAh06uCDod064uo+4RjaLRRadX3XxcX1d/xK7QQ2RxfUur2JiCdEo38jR+e3W87O+W03Of8Hb+lz25xPCKCqBKgsBioLgQsngHNHgVM/Ajm/1pdMuhUY9Ryg97dbC6MworCyELnludhbsBdfHPsChy4cwuzvZsMkTLgu/jonr4EIqKgxos8cecYt7nt2NHx1rn/0JiUlYe7cuQCAHj16YPHixUhPT8eoUaOwYsUKVFRUODxWq9W6VbfmNB60lFYPI5GRkcjNzbXZlpubi8DAQIcvTK/XQ6/Xt3bVFK3ROBGnQZqtEvYIIXChvAYnzpXhYE4J9p4pxu9nivDbH0XIvmBC9q58fLArHyF+Ovw5KQqTh8YhPsz+ByC1ssJTwPbXgJ+WA7+sAc4dA/76CWAItFs8UBeILoFdMDhyMO7scyde2vkSPtj/AZ7Z/gxSIlLQyb9TG78AotaRlJRk83NUVJR1+fVOndrP+7zVw0hqaiq++uorm22bNm1Campqa5+avJwkSQjx0yHET4cBXTpYt5dW1eLn7PPYejAPX/12FgWl1Xg38wTezTyBtN4ReGhUD/SN5viDNhUcA1z7ItDnemD17cAfPwPrpgMT329ywLBapcajgx/FoQuH8HPOz1i8ZzEWDFvQRhUnT+SjVWPfs/JMoPDRurdc+sWtG5IkwWQyt962dDdNcxoPWorbYaS0tBRHjhyx/pydnY2srCyEhISgS5cumD17Nk6fPo13330XAHDfffdh8eLFePTRR3HXXXdhy5Yt+O9//4v169e33KsgcoO/XoMrE8JxZUI45vy5D344eg7vZZ7A5v252Lw/F+kHcnFrSgweHt0LYQHe3ULX5uIuB+78BFg5BjjwJbB7FZAypcnDVJIK/xj0D/zly7/g6+yv8fCgh9HRh/cgIfskSXKrq0SpWrqbRs7GA7f/NXbu3Ikrr7zS+rNlbMfkyZPxzjvv4OzZszh58qR1f9euXbF+/Xo89NBDWLRoETp37owVK1bIPq2XCAA0ahVG9AzDiJ5hOJpfilc3H8YXv5zBmp2nsHFfDhbc2A9jEpt/J0pqhk4pwNVzgY1PAunPmltLfDo0eVjfjn3Rp2Mf7Du3D5tObMJfEv7SBpUlko+73TT79u1DdXU1zp8/j5KSEmRlZQEA+vfvD0DexgO3w8jIkSMbDZhsyN4CKSNHjsSePXvcPRVRm4oP88drtw3AlKGxeGrdXuw/W4z73t+NO/8Uiznj+9gMcqVWNuRvwO53gYKDwM9vAcMfdumwa7tei33n9mHD8Q0MI0QXufbaa3HixAnrzwMGDABQPwlCzsYDSThLFgpRXFyMoKAgFBUVITDQ/oA2opZUXWvCvzcfwrJtRyEE8KduIXjjr4MQ5Otesyddgl/WAJ/eC/hHADN/AzRNd5mdLD6JcZ+Og1alxY+3/widWtcGFSWlq6ysRHZ2Nrp27QqDwSB3ddodZ9fX1c9v/qlHZIdOo8JjYxLw5p2D4KdT48dj53Hbmz/ifFm13FXzHn1vAAKigNJc4JBr0zBjAmIQYghBjakG+8/vb+UKElFLYRghciKtTwQ+nj4Uof467DtbjNvf/BGF5QwkbUKjA/rdbP7+d/vLV19MkiQkhZqnQv6S90tr1YyIWhjDCFETekcFYvW9qQgP0ONATgnufXcXKmVavdHrJN5k/npoA1BV6rxsneTwZADAL/kMI0SegmGEyAXdw/3x3t1DEKDX4Kfj5/Hox786HchNLSSqPxDcBaitBE784NIhvUN6AwCOFh5txYoRUUtiGCFyUa/IACy7MwUalYTPfzmDVduPy12l9k+SgG51Swkcy3DpkC6BXQAAp0pOweR0aX8iUgqGESI3XN49FE9ca/7Le/5XB/DbH0Uy18gLxNeFkaNbXSoe5RcFjUqDalM1cspyWrFiRNRSGEaI3DT18jhc0ycC1UYTHly9h+NHWlvXEeav+fuB8vNNFteoNOjs3xkAcKL4RBOliUgJGEaI3CRJEl66ORnhAXocKyjDa1sOy12l9s03BOjY3fz96d0uHRIbGAvAvO4IESkfwwhRMwT5avHchEQAwBvbjmHfmWKZa9TOdUoxfz29y6XilnEjJ0rYMkLkCRhGiJppdN9IjE2MRK1JYO7nv3N2TWuKHmj+esa1lpGYgBgAwOmS061VIyJqQQwjRJdgzvg+MGhV+Pn4BXyzN7fpA6h5rC0jroWRMJ8wAEBBZUFr1YjIYx05cgQBAQEIDg5utG/t2rVISEiAwWBAv379Gt3Ft7UwjBBdgqggH0wb1g0A8MKGA6gxcippqwg3z2BCWR5Qdq7J4qE+oQCAcxVNlyXyJjU1NbjtttswbNiwRvu2b9+O2267DXfffTf27NmDCRMmYMKECfj9999bvV4MI0SX6G8j4hHqr0N2QRlW/3xK7uq0T3p/8+JnAJB/oMniljCSX57P7jPyWCNHjsTf//53PProowgJCUFkZCTmzZt3Sc/51FNPISEhAbfeemujfYsWLcKYMWPwyCOPoHfv3njuuecwcOBALF68+JLO6QqGEaJL5K/XYMaV5tkeyzKOsnWktYQlmL+6EUaqTdUoqSlpzVqRJxICqC6T5+FmOF61ahX8/PywY8cOvPjii3j22WexadMmAMDYsWPh7+/v8NG3b1+b59qyZQvWrl2LJUuW2D1XZmYm0tLSbLaNHj0amZmZbtW5OTStfgYiL/CXy7pg8dajOF1YgU/3nMatg2LkrlL7E9YLOLwRyD/YZFGDxoAAbQBKakpQUF6AQJ3jW5eTF6opB+ZHy3PuJ84AOj+XiyclJWHu3LkAgB49emDx4sVIT0/HqFGjsGLFClRUVDg8VqvVWr8/d+4cpkyZgvfffx+BgfZ/H3JychAREWGzLSIiAjk5rb94IMMIUQswaNWYNqwrFnx9AEszjuKmgZ2hVklyV6t9CasbN5K/36Xiob6hKCkqQUFFAboFd2vFihG1nqSkJJufo6KikJeXBwDo1KmTy88zbdo03H777Rg+fHiL1q+lMIwQtZA7/hSL1zOOIrugDJv25WBMYpTcVWpfQnuav5475lpxn1BkF2UjvyK/FStFHknra26hkOvc7hRv0LoBmBddNJnMXcFjx47Fd9995/DY2NhY7N27F4C5i+bzzz/Hyy+/DAAQQsBkMkGj0WD58uW46667EBkZidxc21mBubm5iIyMdKvOzcEwQtRC/PUa3DGkC17POIpV208wjLS0DnHmr8WngdoqQKN3WtwybqSggtN76SKS5FZXiVK5002TmZkJo7H+1hWfffYZXnjhBWzfvt3awpKamor09HTMnDnTWm7Tpk1ITU1t+cpfhGGEqAXd8adYLNt2FJnHzuFQbgl6RgTIXaX2wy/U/FdlTTlQeAoI7e60OMMItXfudNP07t3b5uedO3dCpVIhMTHRuu3BBx/EiBEj8Morr2DcuHFYvXo1du7cieXLl7dYnR3hbBqiFtQp2Aej+pgHgL2XyaXIW5Qk1beOXDjeZPFgfTAAoLiaS/UTuWLo0KH48MMPsXz5ciQnJ+Pjjz/GunXrbAJLa2HLCFELm5wah2/25uJ/u//AY2MT4K/nr1mL6RAH5O0DCo83WdQyg6a4imGEPFNGRkajbevWrWuR554yZQqmTJnSaPstt9yCW265pUXO4Q62jBC1sNT4jugW6ofyaiO+/u2s3NVpX9xoGQnQmbvI2DJCpHwMI0QtTJIk3DjQ3Jf7v91/yFybdiY41vzVhTBiaRkpqeaiZ0RKxzBC1ApuGNgZkgT8eOw8Tp0vl7s67Udw3WJyRU3fjTdQX9dNw5YRIsVjGCFqBZ2CfZDarSMA4JPdvI19iwmomy5d3PQaERwzQuQ5GEaIWslNAzsDAD7d8wdv1tZSAuumMpblAcZap0UtY0ZKa0phErxfEJGSMYwQtZIxiZHQa1Q4fq4c+89y3EKL8AsDVBpAmIDSXKdFg3RBAAABwXEjRArHMELUSvz0GozoGQYA+Pp3zqppESoV4F+3NHWJ82uqVWvho/EBwHEjRErHMELUiq7tZx7jsP63s+yqaSmBdXdbdWHcSIDW3FXDlhEiZWMYIWpFV/cOh06twrH8MhzKLZW7Ou1DoBuDWDmjhsgjMIwQtaIAgxbDe5rvkbKeC6C1jIC6lpESzqghai8YRohameXuvZv3OR9wSS6ytIyU5DRdlAufEQEA5s2bB0mSGj38/GzvXrx27VokJCTAYDCgX79++Oqrr9qkfgwjRK3syl5hkCRg39linC1yfLtvcpFfuPlrWX6TRbkkPJHZww8/jLNnz9o8+vTpY3Mfmu3bt+O2227D3XffjT179mDChAmYMGECfv/991avH8MIUSvr6K9H/5hgAMDWA01/gFIT/M0zlFDa9LX01foCAMpruQoueZ6RI0fi73//Ox599FGEhIQgMjIS8+bNa9Zz+fv7IzIy0vrIzc3Fvn37cPfdd1vLLFq0CGPGjMEjjzyC3r1747nnnsPAgQOxePHiFnpFjjGMELWBq3qZ/5rfciBP5pq0A351YcSFlhFLGKmoYYsU1RNCoLymXJaHu7PqVq1aBT8/P+zYsQMvvvginn32WWzatAkAMHbsWPj7+zt89O3b1+HzrlixAj179sSwYcOs2zIzM5GWlmZTbvTo0cjMzHSrzs3Be5sTtYGreofjlU2H8MORAlTWGGHQquWukueyhJHyAsBkMq894oCvhi0j1FhFbQWGfDhElnPvuH2HNSS7IikpCXPnzgUA9OjRA4sXL0Z6ejpGjRqFFStWoKLCcdDWarV2t1dWVuKDDz7A448/brM9JycHERERNtsiIiKQk9P0+KxLxTBC1Ab6RAUiMtCAnOJK/HjsHEbWtZRQM/iaZyfBVAtUFgK+IY6LMoyQh0tKSrL5OSoqCnl55hbWTp06Nes5P/30U5SUlGDy5MmXXL+WwjBC1AYkScKVCWH46KdT2HYon2HkUmh0gCHYHETK8p2HEcuYkRqGEarno/HBjtt3yHZud1zcuiFJEkwm872Wxo4di++++87hsbGxsdi7d2+j7StWrMCf//znRq0glrEkDeXm5iIyMtKtOjcHwwhRG7miuzmMbD9yTu6qeD6/sPowEtbLYTHL//jZMkINSZLkVleJUjWnmyY7Oxtbt27F559/3mhfamoq0tPTMXPmTOu2TZs2ITU1tUXq6wzDCFEbSY3vCEkCDuaWIK+kEuEBBrmr5Ln8woBzh4FS5wOCLd00HMBK7VFzumlWrlyJqKgojB07ttG+Bx98ECNGjMArr7yCcePGYfXq1di5cyeWL1/eEtV1irNpiNpIiJ8OfaPNi3CxdeQS+dWNGykrcFqMU3uJ6plMJrzzzjuYMmUK1OrGg+iHDh2KDz/8EMuXL0dycjI+/vhjrFu3DomJia1eN7aMELWhy7uH4vfTxfj+SAEmDGje4DMC4G9Z+My1lhGOGSFPlJGR0WjbunXrmv18KpUKp06dclrmlltusVkIra2wZYSoDV3R3fwX/Q9HCngX30vhUzdotfy802JsGSHyDAwjRG1ocFwIdBoVzhZV4mh+mdzV8VyWGTQVTYQRtowQeQSGEaI2ZNCqkdKlAwBgRzbHjTSbpWWk4oLTYpaWkWpTNWpNta1dKyJqJoYRojY2uKv5g/TnbOd/1ZMTPuZA12Q3jaZ++mZFLWfUECkVwwhRG7ssri6MHHf+Vz05Ye2mKXRaTKvWQiOZx+mzq4Y4Tqt1tMR1ZRghamMDugRDrZJwurACpwv513qzWFpGmhgzAgA+Wi585u0si3+Vl/M90Bos19XRvXBcwam9RG3MT69BYnQgfvmjCD9nn0cnTvF1nyWMVJcCtdXmJeId8NX4oqS6hGHEi6nVagQHB1vv6eLr6wtJkmSulecTQqC8vBx5eXkIDg62u3aJqxhGiGQwOC4Ev/xRhJ+On+d6I81hCAYgARDmQawBEQ6L8v40BMB6fxVLIKGWExwcfMn3r2EYIZLB4K4hWPF9NgexNpdKBfgEm4NIxXnnYcSyJDwHsHo1SZIQFRWF8PBw1NTUyF2ddkOr1V5Si4gFwwiRDAbXDWI9nFeKC2XV6ODnuJuBHPAJqQsjrk3vLavhui5k7rJpiQ9PalkcwEokgxA/HbqH+wMAdp7grJpm8XVtFVaD2nxDwsraytauERE1E8MIkUwGW6f4squmWawzapyHOYOmLowYGUaIlIphhEgmA7oEAwCyThXKWg+P5WIY0av1AIBqY3Vr14iImqlZYWTJkiWIi4uDwWDAkCFD8NNPPzkt/+qrr6JXr17w8fFBTEwMHnroIVRW8q8U8m4DYoIBAL/9UYRao0neyngifaD5a1Wx82J1YYTdNETK5XYYWbNmDWbNmoW5c+di9+7dSE5OxujRox1Ol/rwww/x+OOPY+7cudi/fz/eeustrFmzBk888cQlV57Ik8WH+SNAr0FFjRGHckvlro7nMQSZv1Y6DyOWbpoqY1Vr14iImsntMLJw4UJMmzYNU6dORZ8+fbBs2TL4+vpi5cqVdstv374dl19+OW6//XbExcXhmmuuwW233dZkawpRe6dSSUiKMX+gsqumGQx1LSOVRU6LWVtGOGaESLHcCiPV1dXYtWsX0tLS6p9ApUJaWhoyMzPtHjN06FDs2rXLGj6OHTuGr776Ctdee63D81RVVaG4uNjmQdQe9a/rqsk6xRk1bnOzm6aqli0jRErl1jojBQUFMBqNiIiwXWAoIiICBw4csHvM7bffjoKCAlxxxRUQQqC2thb33Xef026aBQsW4JlnnnGnakQeqX+MeRAmW0aawdoy4uKYEbaMEClWq8+mycjIwPz58/H6669j9+7d+OSTT7B+/Xo899xzDo+ZPXs2ioqKrI9Tp061djWJZJFc101zOK8UpVW1MtfGw1jGjFQ576bhmBEi5XOrZSQ0NBRqtRq5ubk223Nzcx2uS//000/jzjvvxD333AMA6NevH8rKynDvvffiySefhErVOA/p9Xro9Xp3qkbkkcIDDOgU7IPThRX49Y9CDI0PlbtKnkNvGcDq2pgRdtMQKZdbLSM6nQ4pKSlIT0+3bjOZTEhPT0dqaqrdY8rLyxsFDstSvEIId+tL1O7UjxsplLUeHofdNETthtvdNLNmzcKbb76JVatWYf/+/Zg+fTrKysowdepUAMCkSZMwe/Zsa/nx48dj6dKlWL16NbKzs7Fp0yY8/fTTGD9+PO8PQIQGYeRkoaz18DjWbppiwMkfNuymIVI+t2+UN3HiROTn52POnDnIyclB//79sWHDBuug1pMnT9q0hDz11FOQJAlPPfUUTp8+jbCwMIwfPx7/+te/Wu5VEHmwZMviZ6eddzfQRSyzaYQJqC4F9AH2i3HRMyLFa9Zde2fMmIEZM2bY3ZeRkWF7Ao0Gc+fOxdy5c5tzKqJ2r090ICQJOFtUiYLSKoT6c7yUS7Q+gEoDmGrNXTUOwojlRnlsGSFSLt6bhkhm/noNuob6AQD2nuGaOi6TJNuuGgf0mroBrAwjRIrFMEKkAInR5g/V39lV4x5904NY2TJCpHwMI0QKkNjJ/KG69wzDiFtcWBKeU3uJlI9hhEgB6ltG2E3jFhe6aSyzaTi1l0i5GEaIFKBvXRg5eb4cReU1MtfGg+hdbxmpMdXAaDK2Ra2IyE0MI0QKEOSrRUyIDwBg71l21bjM0PQqrJYwAnDcCJFSMYwQKYSlq2Yvu2pc58KdexlGiJSPYYRIIRI71Y0b4SBW11lbRhyHEbVKDY3KvKQSwwiRMjGMEClE32jzX/mc3usGF2bTAPXTe7kKK5EyMYwQKYSlZeRYQRnKqmplro2HcKGbBmgwvZctI0SKxDBCpBCh/nqEBeghBHAot0Tu6ngGF7ppAE7vJVI6hhEiBUmINN9f5UAOw4hL9P7mr1XOrxcXPiNSNoYRIgXpHWXudjhwljNqXKKruzledanTYpYwUm2qbu0aEVEzMIwQKYilZWQ/W0ZcY2kZaSKMaNVaczEjwwiREjGMEClIQmR9y4gQQubaeACd+W7HqHIeRnQqHQCGESKlYhghUpD4cD9oVBKKK2txtoiDLZukq2sZMVYBRsfL6LObhkjZGEaIFESvUSM+zPwBeyCH40aaZAkjgNOuGnbTECkbwwiRwiRE1Y0bOctxI03S6AC1uQvGWVcNu2mIlI1hhEhhrONGOIjVNbqmB7Hq6gJLjYl3RCZSIoYRIoWxtIxweq+LrDNqyhwWsYQRrsBKpEwMI0QK07uuZeRYQRkqa4wy18YDWNYacbLwGbtpiJSNYYRIYSIC9Qj21cJoEjiS53zKKqF+eq8L3TScTUOkTAwjRAojSRKXhXeHG900NU6m/xKRfBhGiBSo4eJn1ARd0/enYTcNkbIxjBApEFtG3ODCbBrLOiMcwEqkTAwjRArUsy6MHMplGGmSC900XIGVSNkYRogUqEe4+QM2r6QKReUc5+CUtZum6UXPOGaESJkYRogUKMCgRXSQAQBwOI+tI05ZZ9M4GTPC2TREisYwQqRQ3SMsXTWc3uuU3rLOCO9NQ+SpGEaIFKpnXVcNx400QefC1F7OpiFSNIYRIoXqWdcywoXPmuDComfWAawMI0SKxDBCpFA9Itgy4hJ90wNYrd00HDNCpEgMI0QK1Z0zalxjuTeNs+Xg2U1DpGgMI0QKxRk1LnLj3jQ1JoY6IiViGCFSsB6cUdM0F7ppLGGEK7ASKRPDCJGC9eCMmqZZumlqKwCT0X4RNbtpiJSMYYRIwTijxgWWbhrAYVeNdQVWdtMQKRLDCJGCcUaNCzR6QKUxf++gq4YtI0TKxjBCpGCWMSOcUeOEJDUYxGp/4TNLy4hRGFFrqm2rmhGRixhGiBTMX6/hjBpXaOvCSI2DMFLXMgKwdYRIiRhGiBSOM2pcoPM1f60ut7+7QRjhuBEi5WEYIVK4nhw30jRLN02N/TCiUWmgksz/u2PLCJHyMIwQKVyPcM6oaZLWhYXPLKuwckl4IsVhGCFSOM6ocUET3TRA/f1puPAZkfIwjBApXMN71BRXcryDXdq6MOKgmwZosNaIkdeQSGkYRogULsCgRUSgHgBwlF019jUxtRfg/WmIlIxhhMgDxIeZW0eO5jv+sPVqrrSMcOEzIsViGCHyAJauGg5idcA6ZsRxWNOqzGNG2DJCpDwMI0QeoL5lhGHELq3zqb1AfRhhywiR8jCMEHkAhpEmWMeMND2bhi0jRMrDMELkASzdNCfOlaO61iRzbRTI2k3DdUaIPBHDCJEHiAjUw0+nhtEkcPI8B7E24kI3jXU2Daf2EikOwwiRB5AkCfHWQawMI424sugZB7ASKRbDCJGH6M5xI441cddegFN7iZSMYYTIQ1haRrjwmR1utIwwjBApD8MIkYewzKg5wpaRxlxY9IzdNETK1awwsmTJEsTFxcFgMGDIkCH46aefnJYvLCzEAw88gKioKOj1evTs2RNfffVVsypM5K26h5u7Io7mlUIIIXNtFMaFqb3WbhrOpiFSHI27B6xZswazZs3CsmXLMGTIELz66qsYPXo0Dh48iPDw8Eblq6urMWrUKISHh+Pjjz9Gp06dcOLECQQHB7dE/Ym8RpcQP6hVEsqqjcgtrkJkkEHuKimHrsGYESEASWpchLNpiBTL7TCycOFCTJs2DVOnTgUALFu2DOvXr8fKlSvx+OOPNyq/cuVKnD9/Htu3b4dWa24mjYuLu7RaE3khnUaF2I6+OJZfhiN5pQwjDVm6aUy1gLEa0OgbF2E3DZFiudVNU11djV27diEtLa3+CVQqpKWlITMz0+4xn3/+OVJTU/HAAw8gIiICiYmJmD9/PoxGo8PzVFVVobi42OZBRFyJ1SFLywjg8P40HMBKpFxuhZGCggIYjUZERETYbI+IiEBOTo7dY44dO4aPP/4YRqMRX331FZ5++mm88sor+Oc//+nwPAsWLEBQUJD1ERMT4041idothhEH1FqgLmw4GsTKMSNEytXqs2lMJhPCw8OxfPlypKSkYOLEiXjyySexbNkyh8fMnj0bRUVF1sepU6dau5pEHoF373Wiiem91m4ajhkhUhy3xoyEhoZCrVYjNzfXZntubi4iIyPtHhMVFQWtVgu1Wm3d1rt3b+Tk5KC6uho6na7RMXq9Hnp94z5fIm8XH1Y3o4YtI41p/YDKIocLn7FlhEi53GoZ0el0SElJQXp6unWbyWRCeno6UlNT7R5z+eWX48iRIzCZ6m/udejQIURFRdkNIkTkmGXhs9ziKhRX8i98G020jFhulMeWESLlcbubZtasWXjzzTexatUq7N+/H9OnT0dZWZl1ds2kSZMwe/Zsa/np06fj/PnzePDBB3Ho0CGsX78e8+fPxwMPPNByr4LISwQatAgPMLcaHsvnPWpsNLHwmVbN2TRESuX21N6JEyciPz8fc+bMQU5ODvr3748NGzZYB7WePHkSKlV9xomJicE333yDhx56CElJSejUqRMefPBBPPbYYy33Koi8SHyYP/JKqnA0rxT9Y4Llro5y6MytRpxNQ+R53A4jADBjxgzMmDHD7r6MjIxG21JTU/Hjjz8251REdJH4cD9kHjvHZeEvZu2mcRBG6lpGOGaESHl4bxoiD2O9ey9n1NhqopvGOmaE3TREisMwQuRhrHfvZcuILev9aZzPpuEAViLlYRgh8jCWhc9OnCtHjdHURGkv0tQAVi4HT6RYDCNEHiYqyABfnRq1JoET5xzfpdbrNDFmxLrOCAewEikOwwiRh5Ekydo6wpVYG9Ba7tzrfMwIB7ASKQ/DCJEH6s5xI401seiZRmWePMgxI0TKwzBC5IG4LLwdlgGsXA6eyOMwjBB5oHhO721My9k0RJ6KYYTIA9V305RBCCFzbRTC1bv2cjYNkeIwjBB5oC4dfaFWSSitqkVucZXc1VEGbRPdNHUDWI3CCKPJ2Fa1IiIXMIwQeSC9Ro0uIeaWAI4bqdPUXXvV9XcJ57gRImVhGCHyUNZxIwwjZi4uegawq4ZIaRhGiDxUfLi5W4JrjdSxLgfvfGovwIXPiJSGYYTIQ3Vny4gta8uI/TEjkiTV3yyPM2qIFIVhhMhDWW+Yl2f/w9frWMaMmGqBWvstH1o1Z9QQKRHDCJGHsowZySmuREklP1yts2mAJmfUsJuGSFkYRog8VJCPFmEBegDAsXy2jkCjAyzjQhytNVLXMsLZNETKwjBC5MEsy8JzEGudJm6Wx4XPiJSJYYTIg3F670Wsa400cX8adtMQKQrDCJEH4917L+LiWiOcTUOkLAwjRB7M0jLCbpo6Ta3Capnay24aIkVhGCHyYJaWkRPnylFjNMlcGwVo6v40lm4aDmAlUhSGESIPFhlogK9OjVqTwIlz9lsDvIqrd+5lNw2RojCMEHkwlUpCt7oZNRw3giZXYeXUXiJlYhgh8nBcFr6BJu5Pw0XPiJSJYYTIw3EQawNNzabhcvBEisQwQuThrPeo4SqsDVpGnC8HzzEjRMrCMELk4axrjeSVQgghc21k1kTLCGfTECkTwwiRh4vt6AuVBJRW1SKvpEru6siridk0mrp717CbhkhZGEaIPJxeo0Zsx7oZNd4+bsTVdUY4gJVIURhGiNoB6w3zvH1GjYsrsDKMECkLwwhRO2C9YZ7Xt4xwNg2RJ2IYIWoHOKOmjquzaRhGiBSFYYSoHeBaI3VcnU3DbhoiRWEYIWoHLKuw5hRXorSqVubayIizaYg8EsMIUTsQ5KtFqL8egJePG+FsGiKPxDBC1E7E84Z5Lt+1l4ueESkLwwhRO2FdidWbw4ilZcRYBZiMjXZbBrDWGr24K4tIgRhGiNoJDmJFfcsIYHdGDZeDJ1ImhhGidoLTewFoDAAk8/d2ZtRYuml4ozwiZWEYIWonLN00xwvKUGM0yVwbmUiS07VGLIuesWWESFkYRojaiahAA3y0atSaBE6etz+A0ys4WWuEy8ETKRPDCFE7oVJJ6BbGG+Y5m1HD5eCJlIlhhKgdsXTVePUN85ysNWJdDp5jRogUhWGEqB2pv2GeFw9iddIywtk0RMrEMELUjnCtETgdM2KdTcNuGiJFYRghakfqW0ZKIYSQuTYycTKbhsvBEykTwwhROxIX6guVBJRU1SK/pEru6sjDxZYRrw1rRArEMELUjug1anQJMX8YH/bWGTUuzKYBgFoTl4QnUgqGEaJ2pkdEAADgUG6JzDWRiQuzaQAOYiVSEoYRonamZ4R53MihXLaMXMzSTQNw3AiRkjCMELUzPb2+ZcQyZqRxy4hapYZaUpt3c0YNkWIwjBC1Mw3DiFcO0rTOprG/JD5n1BApD8MIUTvTLcwPapWEkspa5BZ74YwaJ7NpgPquGo4ZIVIOhhGidkavUSO2o/kD2Su7apysMwI0mN7LJeGJFINhhKgd6uXN40asLSMVdndbumk4ZoRIOZoVRpYsWYK4uDgYDAYMGTIEP/30k0vHrV69GpIkYcKECc05LRG5yKun9+pc7KbhmBEixXA7jKxZswazZs3C3LlzsXv3biQnJ2P06NHIy8tzetzx48fx8MMPY9iwYc2uLBG5xqun92qdd9OwZYRIedwOIwsXLsS0adMwdepU9OnTB8uWLYOvry9Wrlzp8Bij0Yg77rgDzzzzDLp163ZJFSaiplm6aQ5744watowQeRy3wkh1dTV27dqFtLS0+idQqZCWlobMzEyHxz377LMIDw/H3Xff3fyaEpHL4kL9oFVLKKs24nSh/bET7ZbW8aJnQP2S8GwZIVIOjTuFCwoKYDQaERERYbM9IiICBw4csHvM999/j7feegtZWVkun6eqqgpVVfVTEouLi92pJpHX06pV6Brqh0O5pTicW4rOHXzlrlLbscymqSkHhAAkyXZ33ZLwnNpLpBytOpumpKQEd955J958802Ehoa6fNyCBQsQFBRkfcTExLRiLYnaJ68dxGppGYGwO6PGOmaEU3uJFMOtlpHQ0FCo1Wrk5ubabM/NzUVkZGSj8kePHsXx48cxfvx46zaTyWQ+sUaDgwcPIj4+vtFxs2fPxqxZs6w/FxcXM5AQualXRADW46z3DWLVNmgFqimvH0Ni2a1iNw2R0rjVMqLT6ZCSkoL09HTrNpPJhPT0dKSmpjYqn5CQgN9++w1ZWVnWx3XXXYcrr7wSWVlZDgOGXq9HYGCgzYOI3FM/o8bLWkZUKkDjY/7ezowaLgdPpDxutYwAwKxZszB58mQMGjQIl112GV599VWUlZVh6tSpAIBJkyahU6dOWLBgAQwGAxITE22ODw4OBoBG24moZVm6aY7klcJkElCppCaOaEd0vkBthd0ZNZxNQ6Q8boeRiRMnIj8/H3PmzEFOTg769++PDRs2WAe1njx5EioVF3YlkltsiC90GhUqaoz440IFunT0okGsWj8A5+zOqGE3DZHyuB1GAGDGjBmYMWOG3X0ZGRlOj33nnXeac0oicpNGrUJ8mD/2ny3GwdwS7woj1rVGnHTTcDYNkWKwCYOoHetVN27kYI6XTY93stYIZ9MQKQ/DCFE71jvKPPh7f46XDWK1rjXSuGWE3TREysMwQtSOJVjCyFm2jFh3cQArkeIwjBC1Y72jzDNqjheUoaLaKHNt2pCT+9NwzAiR8jCMELVjYf56dPTTwSS8bL0RJ3futXbTcMwIkWIwjBC1Y5IkWceNHPCmQaxsGSHyKAwjRO1cQqS5q2b/WW9qGWl6zAhbRoiUg2GEqJ3r7Y2DWJ3MprFO7eVsGiLFYBghaucSoiwtI8UQQshcmzbC2TREHoVhhKid6x7uD41KQnFlLc4WVcpdnbahczKAVV0XRjhmhEgxGEaI2jm9Ro34MPNKrF7TVaM3twahuvE4GZ2K3TRESsMwQuQFLOuNHPCWlVh15vCFqtLGu7gcPJHiMIwQeQHLSqz7vKVlxFk3DZeDJ1IchhEiL2Bda8Rbwoi+rmWk2nHLCAewEikHwwiRF+hdt9ZItrcsC6+rGzNir5tGxUXPiJSGYYTIC4QF6BHqb14W3itWYrV205QCF01n1qg0ADhmhEhJGEaIvIAkSUjsFAQA+P10kcy1aQOWbhphBGptpzNzOXgi5WEYIfISidGWMOIFLSOWG+UBjbpqOJuGSHkYRoi8hKVl5DdvaBlRqRrcudc2jHA2DZHyMIwQeYnETuYZNYdyS1BV6wWDWB3MqLEMYDUKI4wmL7gORB6AYYTIS3QK9kEHXy1qTQIHvWHxM8sgVgfdNADHjRApBcMIkZewHcTqBeNGLKuwXrTwmaWbBmBXDZFSMIwQeRGvGjfi4P40lqm9ABc+I1IKhhEiL2KZUbP3jBeEEQfdNJIk1d8sjzNqiBSBYYTIi/Sraxk5cLYENUaTzLVpZTrHS8Jr1ZxRQ6QkDCNEXiQmxAeBBg2qjSYcym3ng1id3Z9GxfvTECkJwwiRF2k4iHVvex/EamkZsXN/GssgVs6mIVIGhhEiL+M1g1jZTUPkMRhGiLyMJYz82t7DiN7+1F6gwf1p2E1DpAgMI0ReJrmzOYzsP1Pcvlditc6maTw2xrokPGfTECkCwwiRl+kS4osQPx2qjSbsO9OOx43oLOuMOB7Aym4aImVgGCHyMpIkYUBMMABgz8lCWevSqlzppuEAViJFYBgh8kL968JI1qlCWevRqhwsegawm4ZIaRhGiLzQgC4dAAB7Tl2QuSatyEk3jWU2DVtGiJSBYYTICyXFBEGSgFPnK1BQWiV3dVqHpWWEi54RKR7DCJEXCjRo0T3MPKYiq72OG9E7WfSM64wQKQrDCJGXGtAlGEA77qqxLHpmqgFqKm138UZ5RIrCMELkpfrHmMeNtNtBrPqA+u+rbKcwczYNkbIwjBB5KUvLyC+nimA0CXkr0xpUakAfaP6+0jaMaFQaAOymIVIKhhEiL9UzIgC+OjVKq2pxNL/xuIp2wRJGqmyXvudy8ETKwjBC5KXUKglJdUvD7z7RTseNGOy3jHA2DZGyMIwQebGBdeuN7GqvYcTaTWPbMsLZNETKwjBC5MUGdw0BAPx0/LzMNWkllpaRiwew8t40RIrCMELkxVJiO0CSgBPnypFbXNn0AZ7GwQBWjhkhUhaGESIvFmjQok+U+QP7p+x22DpiMI+JubhlhLNpiJSFYYTIyw2OM3fV/Nweu2ocDWBlywiRojCMEHm5yyzjRtpjy4je/pgRy117uegZkTIwjBB5OUvLyMHcEhSWt7MPZ4P92TSWAay1xtq2rhER2cEwQuTlwgL06BbqByGAncfb2RRfvf0xI1wOnkhZGEaIyNpV0+7GjThqGakLI1XGqrauERHZwTBCRNaumh+PnZO5Ji3MwdReH42PeXNtO5zOTOSBGEaICEO7dwQA/Ha6CEXl7Wi6q4OpvQa1AQDDCJFSMIwQEaKCfNAtzA8mAWS2p9aRhlN7Rf2diQ2aujBiZBghUgKGESICAFzRPRQAsP1ogcw1aUGWbhpTDdCgFcQaRtgyQqQIDCNEBAC4vC6MfH+kHYURnT8Ayfx9g3Ej1m4aYyVEgxYTIpIHwwgRAQD+1K0jVBJwLL8MZwor5K5Oy1Cp7C58ZmkZMQkTl4QnUoBmhZElS5YgLi4OBoMBQ4YMwU8//eSw7Jtvvolhw4ahQ4cO6NChA9LS0pyWJyJ5BPlo0a9zMADgh/bUOmJnSXhLGAGAitp2EryIPJjbYWTNmjWYNWsW5s6di927dyM5ORmjR49GXl6e3fIZGRm47bbbsHXrVmRmZiImJgbXXHMNTp8+fcmVJ6KWdUXdrJrtR9vTIFbLjJr6tUa0Ki00kvlmeVxrhEh+boeRhQsXYtq0aZg6dSr69OmDZcuWwdfXFytXrrRb/oMPPsD999+P/v37IyEhAStWrIDJZEJ6evolV56IWlbDcSPtZiyF3v7CZxzESqQcboWR6upq7Nq1C2lpafVPoFIhLS0NmZmZLj1HeXk5ampqEBIS4l5NiajVpcR2gI9WjfySKuw9U9z0AZ7A0jJSUWi7uS6MsJuGSH5uhZGCggIYjUZERETYbI+IiEBOTo5Lz/HYY48hOjraJtBcrKqqCsXFxTYPImp9eo3a2jqy9YD9rleP41v3h0+F7VL3erUeANcaIVKCNp1N8/zzz2P16tX49NNPYTAYHJZbsGABgoKCrI+YmJg2rCWRd7sqIRwAsOVgOwkjPh3MX8ttwwiXhCdSDrfCSGhoKNRqNXJzc2225+bmIjIy0umxL7/8Mp5//nls3LgRSUlJTsvOnj0bRUVF1sepU6fcqSYRXYIrE8IAAFmnCnGutB0M7rS2jNjekZhLwhMph1thRKfTISUlxWbwqWUwampqqsPjXnzxRTz33HPYsGEDBg0a1OR59Ho9AgMDbR5E1DaignzQOyoQQgDbDuXLXZ1L51MXRi5qGeGS8ETK4XY3zaxZs/Dmm29i1apV2L9/P6ZPn46ysjJMnToVADBp0iTMnj3bWv6FF17A008/jZUrVyIuLg45OTnIyclBaWlpy70KImpRV9W1jmxpD+NGHIwZ4WwaIuXQuHvAxIkTkZ+fjzlz5iAnJwf9+/fHhg0brINaT548CZWqPuMsXboU1dXVuPnmm22eZ+7cuZg3b96l1Z6IWsVVCRFYsvUovj2Uj1qjCRq1By/W7KBlhGNGiJTD7TACADNmzMCMGTPs7svIyLD5+fjx4805BRHJqH9MMEL8dDhfVo2fj19AanxHuavUfJxNQ6R4HvznDhG1FrVKss6q+Wava9P2FcunwQBWk8m6meuMECkHwwgR2XVtP/MMua9/PwuTyYNXY7W0jAiTzZLwltk0XA6eSH4MI0Rk1+XdQxGg1yC3uAp7Tl1o+gCl0ugBrZ/5+wbjRjhmhEg5GEaIyC69Ro2re5u7ar7+zcO7auysNcJuGiLlYBghIofG9osCAHz9e45n3zjPziqs1kXPOICVSHYMI0Tk0IieYfDVqXG6sAK//lHU9AFKZWkZKT9n3WRtGalhywiR3BhGiMghg1aNK+tm1Xz56xmZa3MJfBpP7/XV+gIAymvL5agRETXAMEJETl2fHA0A+CzrDIyeOqvGt/HCZ34a86DW8hqGESK5MYwQkVMje4Wjg68WeSVV+OFIgdzVaR47LSP+On8AQGkNb01BJDeGESJySqdRYXxd68gnu/+QuTbN5Fu3gmx5426aspoyOWpERA0wjBBRk24c2BkAsGFvDkqramWuTTNYw0j9AFZ20xApB8MIETUpuXMQuoX5obLGhA2/e+CaI/7muxCjtP4uxH51C6GV1ZZ59rRlonaAYYSImiRJEm4c0AkAsHbnKZlr0wz+5ruKo6xxGDEJExc+I5IZwwgRueTGgZ2hkoAd2edxJK9E7uq4xxJGKi4AteZ70fhofCBBAsDpvURyYxghIpdEB/vg6t7mD/X3fzwpc23cZAgGVFrz92X5AMytPdauGg5iJZIVwwgRuezOP8UCAP636w+UV3vQQFaVCvBrPG6EM2qIlIFhhIhcdkX3UMR29EVJVS0+z/KwFVn9zSvJ2h3EyjBCJCuGESJymUol4Y4hXQAA72ae8KxZKPYGsWoYRoiUgGGEiNxyS0oM9BoV9p0txo/Hzjd9gFJYW0ZyrZvYMkKkDAwjROSWDn463DLIvAjasm1HZa6NG9hNQ6RYDCNE5LZ7h8VDJQHbDuVj35liuavjmoAo89fi+rEuljDCVViJ5MUwQkRu69LRF9f2M3+4v/Gth7SOBJrvr9MwjFhm0/BmeUTyYhghoma5b0Q8AODLX8/i1HkPaFkINK8gi+LT1k3spiFSBoYRImqWxE5BGNYjFEaTwKL0w3JXp2lB5nEuKM0DaqsBAAG6AABASbWHrShL1M4wjBBRs/3jml4AgE92/6H8JeJ9OwJqPQABlJi7aoL0QQCAoqoiGStGRAwjRNRs/WOCcU2fCJgEsHDTIbmr45wk1Y8bKTJ31QTrg80/VjOMEMmJYYSILsk/rukFSQK++i0Hv/2h8A91S1dN3SDWIJ25ZaSwqlCmChERwDBCRJeoV2QAJvQ3Dw59bv0+Za/Kap1R8wcAdtMQKQXDCBFdsodH94JBq8JP2efxxa9n5a6OY0Ex5q8XTgBo0E1TVaTsEEXUzjGMENEl6xTsgwdGdgcA/Gv9PpRVKfSOviFdzV8vZAOobxkxCiPXGiGSEcMIEbWIacO7oUuIL3KLq/CfLQqd6hvSzfz1vDmMGDQGGNQGAOyqIZITwwgRtQiDVo254/sAAFZ8l41fThXKWyF7OtS1jBT9ARhrAACB+kDzJoYRItkwjBBRi7m6dwTGJ0fDaBJ4eO0vqKwxyl0lWwGRgMYHEEag8CSA+nEjnFFDJB+GESJqUc9e1xeh/noczivFq5sV1l0jSUCHOPP3dV01DQexEpE8GEaIqEV18NNh/g2JAMw30fvhSIHMNbqIddzIMQD1g1jZMkIkH4YRImpx1/SNxMRBMRACeHD1HuQWV8pdpXphPc1f8w8AqG8ZuVB1QaYKERHDCBG1imeu74uEyAAUlFbj/z7cg1qjSe4qmYX1Nn/N22/+0ScMAJBfni9XjYi8HsMIEbUKg1aN1+8YCH+9Bj8dP4+5n+9VxsJi4Qnmr/n7ASEQ4RcBAMgtz5WxUkTejWGEiFpNtzB/LLw1GZIEfLDjJN787pjcVQJCewKSCqi4AJTmIdw3HACQV54nc8WIvBfDCBG1qmv6RuLJa81dI/O/OoAvfjkjb4W0PvXrjeTts4YRtowQyYdhhIha3d1XdMWk1FgAwMw1Wdjwe468FYo0z/bB2V8Q4WvupimqKkJlrYIG2hJ5EYYRImp1kiRh7vi+uGFAJxhNAv/30W5s3idjS0SnFPPX0zsRqAuEXq0HwEGsRHJhGCGiNqFWSXjp5iSMT45GjVHgb+/vwv92/SFPZaxhZDckSWJXDZHMGEaIqM1o1Cr8+9Zk3FjXQvKPtb9gacbRtp9lE9XfPIi1+DRQfNbaVcNBrETyYBghojalUavw8i3J+Ntw80qoL2w4gAdXZ6G8urbtKqH3B8LNN/XDyUxE+0cDAE6VnGq7OhCRFcMIEbU5lUrC7Gt749nr+0KjkvD5L2dww5LtOJZf2naV6Drc/DV7G7oGmWfXZBdnt935iciKYYSIZDMpNQ4f3fsnhAXocTC3BOP+8z1WbT8Ok6kNum26jTR/PdYgjBQxjBDJgWGEiGQ1OC4E6//vCgyN74iKGiPmfr4Xf31rB44XlLXuiWOHAioNcCEbXYUGgDmMKGKVWCIvwzBCRLILDzTg/buH4Nnr+8JHq8b2o+dwzb+/xfNfH0BpVSuNJdEHAHFXAABiTu6ERtKgoraCM2qIZMAwQkSKoFJJmJQah68fHIbhPcNQbTRh2bajGPlSBt76PhuVNcaWP2mfCQAA7b7P0TmgMwDgaOHRlj8PETnFMEJEihIX6odVUwdjxaRBiO3oi4LSKjz35T5c8cJWrPjuGEoqa1ruZL3HA5IaOJuFvv7mMJKVn9Vyz09ELmEYISLFkSQJaX0isOmhEVhwYz907uCDgtIq/HP9fgyZn44nP/0NB3NKLv1EfqFAwrUAgIFF5wEAe3L3XPrzEpFbJOEBo7WKi4sRFBSEoqIiBAYGyl0dImpjNUYTPtn9B978LhtH8uqn//brFITr+0fjz0nRiAwyNO/Jj2UA716PIz6BuCEyGD4aH/xw2w/QqrQtU3kiL+bq5zfDCBF5DCEEMo+dw3uZJ7BxXy6MdVOAJQkYHBuCKxPCMbJXGBIiAyBJkqtPCrx5JUxn9mB4t3gUiRqsHL0SgyMHt+IrIfIODCNE1K6dK63CV7+dxee/nMHPxy/Y7IsMNGBYj1AMiuuAlNgQxIf5OQ8nR7cA792Ap0I74rMAP9zc82bMTZ3byq+AqP1jGCEir3G6sAJb9uci42A+fjhagMoak83+YF8tUrp0QGKnIPSOCkBCZCC6hPhCpWoQUNZOxY9H12NaVAQCtQHYfGs6fDQ+bfxKiNoXhhEi8kqVNUb8lH0ePx47h50nLuCXU4WoqjU1KuerU6NnRAC6hfkhNsQPPQOqMOK7W3FjsMBprQYPJt6De1IelOEVELUfrRpGlixZgpdeegk5OTlITk7Ga6+9hssuu8xh+bVr1+Lpp5/G8ePH0aNHD7zwwgu49tprXT4fwwgRNVd1rQn7zhZj94kL2H+2GAdySnAwtwTVdgJKL+kkJoe8hAXhfvAxCYwqvxkVodcjMsgHEYEGRATqERagR7CvDh18dQg0aKBRc1IikSOtFkbWrFmDSZMmYdmyZRgyZAheffVVrF27FgcPHkR4eHij8tu3b8fw4cOxYMEC/PnPf8aHH36IF154Abt370ZiYmKLvhgiIlfUGk04fq4MB3JKcOJcOU6cK8Pxc+U4ea4c+pJj6BT7Kn7zUSGsthZ35+mxv3Qk0o0DcRYdGz1XoEFTF060CPLVIdhHCz+9Bv56NXx1Gvjp1fDTa+Cn09R9VcO37qteo4Zeq4JOrYJeq4Jeo4Za5eLAWyIP0GphZMiQIRg8eDAWL14MADCZTIiJicH//d//4fHHH29UfuLEiSgrK8OXX35p3fanP/0J/fv3x7Jly1r0xRARXaqKaiP2/3EUc76fjBPCPI24R3U1/lRRifBaHaqNoSgyBqO4JgBFpkCUCR9UQ4tqoUO10KEKWhihgQBgggomSBANHuafARMkwPqoJ0GCTiNBq1ZBqzZ/1alV0GpUUKskaCQJKhWgVqmgUUlQSRLUKgkqlQSNZF7J1vyzqq6sBI0KdfvNP0uSBJVkXs9FBQmQABUkSBKgqntAZa6L+WfJXFOp/lhV3YBg87a648wb6p4b1ueG5VVajrG8VsnyiiXLrvqrIZn3NDjMzrEXf2+vfP0568/RuBwa7ruoLg3rZ4+jXY6PcfxkDp/L8emdncit4j1iEhHoH+zWczXF1c9vjTtPWl1djV27dmH27NnWbSqVCmlpacjMzLR7TGZmJmbNmmWzbfTo0Vi3bp3D81RVVaGqqsr6c3FxsTvVJCJqNh+dGgO79cSamM34948L8L9jn+OwTofDOl1didK6h0KZ6h5EbvpX/kxcN/xuWc7tVhgpKCiA0WhERESEzfaIiAgcOHDA7jE5OTl2y+fk5Dg8z4IFC/DMM8+4UzUiohblp/XDU8P+iRmDH8Z3p7/DvrwsHD+3H4Xl+SitKUeZsRJGYYKACUYhICCsOUDASYNzG08ZUPwMBVIMlSTf+Ce3wkhbmT17tk1rSnFxMWJiYmSsERF5q2BDMMbHj8f4+PFyV4Wo3XIrjISGhkKtViM31/YW27m5uYiMjLR7TGRkpFvlAUCv10Ov17tTNSIiIvJQbrXJ6HQ6pKSkID093brNZDIhPT0dqampdo9JTU21KQ8AmzZtclieiIiIvIvb3TSzZs3C5MmTMWjQIFx22WV49dVXUVZWhqlTpwIAJk2ahE6dOmHBggUAgAcffBAjRozAK6+8gnHjxmH16tXYuXMnli9f3rKvhIiIiDyS22Fk4sSJyM/Px5w5c5CTk4P+/ftjw4YN1kGqJ0+ehEpV3+AydOhQfPjhh3jqqafwxBNPoEePHli3bp3La4wQERFR+8bl4ImIiKhVuPr5zXWMiYiISFYMI0RERCQrhhEiIiKSFcMIERERyYphhIiIiGTFMEJERESyYhghIiIiWTGMEBERkawYRoiIiEhWbi8HLwfLIrHFxcUy14SIiIhcZfncbmqxd48IIyUlJQCAmJgYmWtCRERE7iopKUFQUJDD/R5xbxqTyYQzZ84gICAAkiS12PMWFxcjJiYGp06d4j1vmsBr5R5eL9fxWrmO18p1vFaua81rJYRASUkJoqOjbW6iezGPaBlRqVTo3Llzqz1/YGAg36wu4rVyD6+X63itXMdr5TpeK9e11rVy1iJiwQGsREREJCuGESIiIpKVV4cRvV6PuXPnQq/Xy10VxeO1cg+vl+t4rVzHa+U6XivXKeFaecQAViIiImq/vLplhIiIiOTHMEJERESyYhghIiIiWTGMEBERkay8IozMmzcPkiTZPBISEqz7Kysr8cADD6Bjx47w9/fHTTfdhNzcXBlr3Ha+/fZbjB8/HtHR0ZAkCevWrbPZL4TAnDlzEBUVBR8fH6SlpeHw4cM2Zc6fP4877rgDgYGBCA4Oxt13343S0tI2fBVto6lrNWXKlEbvszFjxtiU8ZZrtWDBAgwePBgBAQEIDw/HhAkTcPDgQZsyrvzenTx5EuPGjYOvry/Cw8PxyCOPoLa2ti1fSqtz5VqNHDmy0XvrvvvusynjDddq6dKlSEpKsi7OlZqaiq+//tq6n++pek1dK6W9p7wijABA3759cfbsWevj+++/t+576KGH8MUXX2Dt2rXYtm0bzpw5gxtvvFHG2radsrIyJCcnY8mSJXb3v/jii/jPf/6DZcuWYceOHfDz88Po0aNRWVlpLXPHHXdg79692LRpE7788kt8++23uPfee9vqJbSZpq4VAIwZM8bmffbRRx/Z7PeWa7Vt2zY88MAD+PHHH7Fp0ybU1NTgmmuuQVlZmbVMU793RqMR48aNQ3V1NbZv345Vq1bhnXfewZw5c+R4Sa3GlWsFANOmTbN5b7344ovWfd5yrTp37oznn38eu3btws6dO3HVVVfh+uuvx969ewHwPdVQU9cKUNh7SniBuXPniuTkZLv7CgsLhVarFWvXrrVu279/vwAgMjMz26iGygBAfPrpp9afTSaTiIyMFC+99JJ1W2FhodDr9eKjjz4SQgixb98+AUD8/PPP1jJff/21kCRJnD59us3q3tYuvlZCCDF58mRx/fXXOzzGW6+VEELk5eUJAGLbtm1CCNd+77766iuhUqlETk6OtczSpUtFYGCgqKqqatsX0IYuvlZCCDFixAjx4IMPOjzGW6+VEEJ06NBBrFixgu8pF1iulRDKe095TcvI4cOHER0djW7duuGOO+7AyZMnAQC7du1CTU0N0tLSrGUTEhLQpUsXZGZmylVdRcjOzkZOTo7NtQkKCsKQIUOs1yYzMxPBwcEYNGiQtUxaWhpUKhV27NjR5nWWW0ZGBsLDw9GrVy9Mnz4d586ds+7z5mtVVFQEAAgJCQHg2u9dZmYm+vXrh4iICGuZ0aNHo7i42Oavu/bm4mtl8cEHHyA0NBSJiYmYPXs2ysvLrfu88VoZjUasXr0aZWVlSE1N5XvKiYuvlYWS3lMecaO8SzVkyBC888476NWrF86ePYtnnnkGw4YNw++//46cnBzodDoEBwfbHBMREYGcnBx5KqwQltff8M1o+dmyLycnB+Hh4Tb7NRoNQkJCvO76jRkzBjfeeCO6du2Ko0eP4oknnsDYsWORmZkJtVrttdfKZDJh5syZuPzyy5GYmAgALv3e5eTk2H3vWfa1R/auFQDcfvvtiI2NRXR0NH799Vc89thjOHjwID755BMA3nWtfvvtN6SmpqKyshL+/v749NNP0adPH2RlZfE9dRFH1wpQ3nvKK8LI2LFjrd8nJSVhyJAhiI2NxX//+1/4+PjIWDNqT/7yl79Yv+/Xrx+SkpIQHx+PjIwMXH311TLWTF4PPPAAfv/9d5txWmSfo2vVcFxRv379EBUVhauvvhpHjx5FfHx8W1dTVr169UJWVhaKiorw8ccfY/Lkydi2bZvc1VIkR9eqT58+intPeU03TUPBwcHo2bMnjhw5gsjISFRXV6OwsNCmTG5uLiIjI+WpoEJYXv/Fo9EbXpvIyEjk5eXZ7K+trcX58+e9/vp169YNoaGhOHLkCADvvFYzZszAl19+ia1bt6Jz587W7a783kVGRtp971n2tTeOrpU9Q4YMAQCb95a3XCudTofu3bsjJSUFCxYsQHJyMhYtWsT3lB2OrpU9cr+nvDKMlJaW4ujRo4iKikJKSgq0Wi3S09Ot+w8ePIiTJ0/a9K15o65duyIyMtLm2hQXF2PHjh3Wa5OamorCwkLs2rXLWmbLli0wmUzWN7e3+uOPP3Du3DlERUUB8K5rJYTAjBkz8Omnn2LLli3o2rWrzX5Xfu9SU1Px22+/2QS4TZs2ITAw0NrU3B40da3sycrKAgCb95Y3XCt7TCYTqqqq+J5ygeVa2SP7e6rFh8Qq0D/+8Q+RkZEhsrOzxQ8//CDS0tJEaGioyMvLE0IIcd9994kuXbqILVu2iJ07d4rU1FSRmpoqc63bRklJidizZ4/Ys2ePACAWLlwo9uzZI06cOCGEEOL5558XwcHB4rPPPhO//vqruP7660XXrl1FRUWF9TnGjBkjBgwYIHbs2CG+//570aNHD3HbbbfJ9ZJajbNrVVJSIh5++GGRmZkpsrOzxebNm8XAgQNFjx49RGVlpfU5vOVaTZ8+XQQFBYmMjAxx9uxZ66O8vNxapqnfu9raWpGYmCiuueYakZWVJTZs2CDCwsLE7Nmz5XhJraapa3XkyBHx7LPPip07d4rs7Gzx2WefiW7duonhw4dbn8NbrtXjjz8utm3bJrKzs8Wvv/4qHn/8cSFJkti4caMQgu+phpxdKyW+p7wijEycOFFERUUJnU4nOnXqJCZOnCiOHDli3V9RUSHuv/9+0aFDB+Hr6ytuuOEGcfbsWRlr3Ha2bt0qADR6TJ48WQhhnt779NNPi4iICKHX68XVV18tDh48aPMc586dE7fddpvw9/cXgYGBYurUqaKkpESGV9O6nF2r8vJycc0114iwsDCh1WpFbGysmDZtms20OCG851rZu04AxNtvv20t48rv3fHjx8XYsWOFj4+PCA0NFf/4xz9ETU1NG7+a1tXUtTp58qQYPny4CAkJEXq9XnTv3l088sgjoqioyOZ5vOFa3XXXXSI2NlbodDoRFhYmrr76amsQEYLvqYacXSslvqckIYRo+fYWIiIiItd45ZgRIiIiUg6GESIiIpIVwwgRERHJimGEiIiIZMUwQkRERLJiGCEiIiJZMYwQERGRrBhGiIiISFYMI0RERCQrhhEiumSSJDl9zJs3z+nxV155JVasWGF338iRIzFz5kybbYsWLYJer8fq1atb6BUQkZw0cleAiDzf2bNnrd+vWbMGc+bMwcGDB63b/P39HR57/vx5/PDDDy4Hi7lz5+Lll1/GZ599hjFjxjS/0kSkGAwjRHTJIiMjrd8HBQVBkiSbbc6sX78eAwcOREREhNNyQgj8/e9/x/vvv49NmzZh6NChl1RnIlIOhhEiktXnn3+O66+/3mmZ2tpa/PWvf8WWLVuwbds2JCUltVHtiKgtMIwQkWyqqqqwYcOGJseUvPnmmwCAX375BQkJCW1QMyJqSxzASkSy2bJlC8LDw9G3b1+n5a644gr4+/vj6aefRm1tbRvVjojaCsMIEcnm888/x3XXXddkuX79+iE9PR1bt27FxIkTGUiI2hmGESKShRACX3zxRZPjRSz69++P9PR0fPvtt7j11ltRU1PTyjUkorbCMEJEsti1axfKy8txxRVXuHxMcnIytmzZgu+//56BhKgdYRghIll89tlnuPbaa6HRuDeOvl+/ftiyZQu2b9+OW265BdXV1a1UQyJqK5IQQshdCSLyPklJSXjqqadw6623yl0VIpIZW0aIqM1VV1fjpptuwtixY+WuChEpAFtGiIiISFZsGSEiIiJZMYwQERGRrBhGiIiISFYMI0RERCQrhhEiIiKSFcMIERERyYphhIiIiGTFMEJERESyYhghIiIiWf0/XGU7o3WFyaIAAAAASUVORK5CYII=",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "T = np.linspace(50, 350, 1000)\n",
+    "n = np.array([10, 40, 70])  # chain length\n",
+    "dH0 = -4.5e3  # per amino acid\n",
+    "dS0 = -20\n",
+    "\n",
+    "plt.title(\"Expected fraction of helical segments\")\n",
+    "plt.xlabel(\"T / K\")\n",
+    "\n",
+    "for i in n:\n",
+    "    dmu0 = (i-4) * dH0 - T * (i-2) * dS0\n",
+    "    K = np.exp(- (dmu0 / (R*T)))\n",
+    "    plt.plot(T, K / (1 + K), label=f\"n={i}\")\n",
+    "\n",
+    "plt.legend()\n",
+    "plt.show()\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Helix coil transition: Zipper model"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 25,
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "T = np.linspace(50, 350, 1000)\n",
+    "n = np.array([10, 40, 70])\n",
+    "dS0 = -20  # per amino acid\n",
+    "dH0 = -4.5e3  # per amino acid\n",
+    "sigma = 10e-3  # assumed to be temperature independent\n",
+    "#sigma = np.exp((4* dH0 - 2*T*dS0) / (R*T))\n",
+    "\n",
+    "K = np.exp(- (dH0 - T * dS0) / (R*T))\n",
+    "\n",
+    "plt.title(\"Expected fraction of helical segments\")\n",
+    "plt.xlabel(\"T / K\")\n",
+    "\n",
+    "for m in n:\n",
+    "    Q = 1\n",
+    "    nom = 0\n",
+    "    for i in range(1, m+1):\n",
+    "        Q += (m-i+1) * sigma * K**i\n",
+    "        nom += i * (m-i+1) * sigma * K**i\n",
+    "\n",
+    "    plt.plot(T, 1/m * nom / Q, label=f\"n={m}\")\n",
+    "\n",
+    "\n",
+    "plt.legend()\n",
+    "plt.show()\n"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "metadata": {},
+   "source": [
+    "## Helix coil transition: Zimm-Bragg-Model"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 28,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "[3.67932221e+34 3.67851897e+36]\n",
+      "[1.92800098e+34 1.92755197e+36]\n",
+      "[1.01807280e+34 1.01782007e+36]\n",
+      "[5.41656096e+33 5.41512874e+35]\n",
+      "[2.90324781e+33 2.90243074e+35]\n",
+      "[1.56748733e+33 1.56701814e+35]\n",
+      "[8.52370728e+32 8.52099566e+34]\n",
+      "[4.66771077e+32 4.66613367e+34]\n",
+      "[2.57381818e+32 2.57289521e+34]\n",
+      "[1.42889099e+32 1.42834753e+34]\n",
+      "[7.98578458e+31 7.98256532e+33]\n",
+      "[4.49246213e+31 4.49054387e+33]\n",
+      "[2.54361735e+31 2.54246766e+33]\n",
+      "[1.44934875e+31 1.44865575e+33]\n",
+      "[8.31002004e+30 8.30581935e+32]\n",
+      "[4.79396198e+30 4.79140159e+32]\n",
+      "[2.78231769e+30 2.78074859e+32]\n",
+      "[1.62441014e+30 1.62344340e+32]\n",
+      "[9.53936950e+29 9.53338183e+31]\n",
+      "[5.63427075e+29 5.63054300e+31]\n",
+      "[3.34664585e+29 3.34431323e+31]\n",
+      "[1.99892547e+29 1.99745852e+31]\n",
+      "[1.20049367e+29 1.19956657e+31]\n",
+      "[7.24873156e+28 7.24284391e+30]\n",
+      "[4.40013762e+28 4.39638072e+30]\n",
+      "[2.68495248e+28 2.68254392e+30]\n",
+      "[1.64678839e+28 1.64523711e+30]\n",
+      "[1.01516192e+28 1.01415823e+30]\n",
+      "[6.28919941e+27 6.28267620e+29]\n",
+      "[3.91547824e+27 3.91121994e+29]\n",
+      "[2.44946494e+27 2.44667305e+29]\n",
+      "[1.53965290e+27 1.53781459e+29]\n",
+      "[9.72318307e+26 9.71102761e+28]\n",
+      "[6.16875652e+26 6.16068553e+28]\n",
+      "[3.93151936e+26 3.92613841e+28]\n",
+      "[2.51690904e+26 2.51330707e+28]\n",
+      "[1.61841617e+26 1.61599544e+28]\n",
+      "[1.04520220e+26 1.04356896e+28]\n",
+      "[6.77907182e+25 6.76800991e+27]\n",
+      "[4.41542886e+25 4.40790815e+27]\n",
+      "[2.88789727e+25 2.88276495e+27]\n",
+      "[1.89657816e+25 1.89306280e+27]\n",
+      "[1.25058834e+25 1.24817174e+27]\n",
+      "[8.27918502e+24 8.26251259e+26]\n",
+      "[5.50257302e+24 5.49102980e+26]\n",
+      "[3.67134293e+24 3.66332306e+26]\n",
+      "[2.45890279e+24 2.45331165e+26]\n",
+      "[1.65307223e+24 1.64916109e+26]\n",
+      "[1.11545896e+24 1.11271387e+26]\n",
+      "[7.55447554e+23 7.53514510e+25]\n",
+      "[5.13478263e+23 5.12112622e+25]\n",
+      "[3.50255775e+23 3.49287893e+25]\n",
+      "[2.39757892e+23 2.39069747e+25]\n",
+      "[1.64688830e+23 1.64198044e+25]\n",
+      "[1.13511178e+23 1.13160071e+25]\n",
+      "[7.85012144e+22 7.82492709e+24]\n",
+      "[5.44700459e+22 5.42887171e+24]\n",
+      "[3.79195735e+22 3.77886817e+24]\n",
+      "[2.64834490e+22 2.63886894e+24]\n",
+      "[1.85554905e+22 1.84866913e+24]\n",
+      "[1.30418396e+22 1.29917469e+24]\n",
+      "[9.19508692e+21 9.15851215e+23]\n",
+      "[6.50288029e+21 6.47610163e+23]\n",
+      "[4.61287076e+21 4.59321090e+23]\n",
+      "[3.28197598e+21 3.26750356e+23]\n",
+      "[2.34197018e+21 2.33128811e+23]\n",
+      "[1.67607225e+21 1.66816711e+23]\n",
+      "[1.20296602e+21 1.19710076e+23]\n",
+      "[8.65859365e+20 8.61496451e+22]\n",
+      "[6.24969920e+20 6.21716338e+22]\n",
+      "[4.52348636e+20 4.49916267e+22]\n",
+      "[3.28302947e+20 3.26480033e+22]\n",
+      "[2.38917945e+20 2.37548456e+22]\n",
+      "[1.74333428e+20 1.73302108e+22]\n",
+      "[1.27542856e+20 1.26764358e+22]\n",
+      "[9.35537220e+19 9.29646902e+21]\n",
+      "[6.87989170e+19 6.83522083e+21]\n",
+      "[5.07229018e+19 5.03833530e+21]\n",
+      "[3.74899726e+19 3.72312942e+21]\n",
+      "[2.77780336e+19 2.75805249e+21]\n",
+      "[2.06324233e+19 2.04812869e+21]\n",
+      "[1.53620287e+19 1.52461251e+21]\n",
+      "[1.14652607e+19 1.13761852e+21]\n",
+      "[8.57716884e+18 8.50856598e+20]\n",
+      "[6.43156241e+18 6.37861582e+20]\n",
+      "[4.83380971e+18 4.79286152e+20]\n",
+      "[3.64125726e+18 3.60952349e+20]\n",
+      "[2.74909873e+18 2.72445602e+20]\n",
+      "[2.08015196e+18 2.06097742e+20]\n",
+      "[1.57744530e+18 1.56249599e+20]\n",
+      "[1.19882838e+18 1.18715043e+20]\n",
+      "[9.13045270e+17 9.03905145e+19]\n",
+      "[6.96866319e+17 6.89698820e+19]\n",
+      "[5.32988652e+17 5.27357414e+19]\n",
+      "[4.08495606e+17 4.04063078e+19]\n",
+      "[3.13723845e+17 3.10228411e+19]\n",
+      "[2.41428378e+17 2.38666885e+19]\n",
+      "[1.86165771e+17 1.83980171e+19]\n",
+      "[1.43837563e+17 1.42104665e+19]\n",
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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "T = np.linspace(50, 350, 1000)\n",
+    "n = np.array([10, 40, 70])\n",
+    "dS0 = -20  # per amino acid\n",
+    "dH0 = -4.5e3  # per amino acid\n",
+    "sigma = 10e-3  # assumed to be temperature independent\n",
+    "\n",
+    "\n",
+    "plt.title(\"Expected fraction of helical segments\")\n",
+    "plt.xlabel(\"T / K\")\n",
+    "\n",
+    "for m in n:\n",
+    "    K = np.array([])\n",
+    "    Q = np.array([])\n",
+    "\n",
+    "    for t in T:\n",
+    "        k = np.exp(- (dH0 - t * dS0) / (R*t))\n",
+    "\n",
+    "        q = np.array([1, 1])\n",
+    "        for i in range(0, m):\n",
+    "            q = np.matmul(np.array([[1, sigma * k], [1, k]]), q)\n",
+    "        q = np.matmul(np.array([1, 0]), q)\n",
+    "\n",
+    "        K = np.append(K, k)\n",
+    "        Q = np.append(Q, q)\n",
+    "\n",
+    "    plt.plot(T, np.gradient(np.log(Q), np.log(K)) / m, label=f\"n={m}\")\n",
+    "\n",
+    "plt.legend()\n",
+    "plt.show()\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 27,
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stderr",
+     "output_type": "stream",
+     "text": [
+      "/tmp/ipykernel_1606/3762183324.py:18: DeprecationWarning: scipy.misc.derivative is deprecated in SciPy v1.10.0; and will be completely removed in SciPy v1.12.0. You may consider using findiff: https://github.com/maroba/findiff or numdifftools: https://github.com/pbrod/numdifftools\n",
+      "  dlogQ_dlogsigma = np.append(dlogQ_dlogsigma, derivative(logQ_by_logsigma, log(sigma)))\n"
+     ]
+    },
+    {
+     "data": {
+      "image/png": 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",
+      "text/plain": [
+       "<Figure size 640x480 with 1 Axes>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "plt.title(\"Expected number of helices\")\n",
+    "plt.xlabel(\"T / K\")\n",
+    "\n",
+    "for m in n:\n",
+    "    dlogQ_dlogsigma = np.array([])\n",
+    "\n",
+    "    for t in T:\n",
+    "        k = np.exp(- (dH0 - t * dS0) / (R*t))\n",
+    "\n",
+    "        def logQ_by_logsigma(logsigma):\n",
+    "            sigma = exp(logsigma)\n",
+    "            q = np.array([1, 1])\n",
+    "            for i in range(0, m):\n",
+    "                q = np.matmul(np.array([[1, sigma * k], [1, k]]), q)\n",
+    "            q = np.matmul(np.array([1, 0]), q)\n",
+    "            return log(q)\n",
+    "\n",
+    "        dlogQ_dlogsigma = np.append(dlogQ_dlogsigma, derivative(logQ_by_logsigma, log(sigma)))\n",
+    "\n",
+    "    plt.plot(T, dlogQ_dlogsigma, label=f\"n={m}\")\n",
+    "\n",
+    "plt.legend()\n",
+    "plt.show()\n"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "venv",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.8.10"
+  },
+  "orig_nbformat": 4
+ },
+ "nbformat": 4,
+ "nbformat_minor": 2
+}
diff --git a/unfolding.ipynb b/unfolding.ipynb
deleted file mode 100644
index f537e86..0000000
--- a/unfolding.ipynb
+++ /dev/null
@@ -1,391 +0,0 @@
-{
- "cells": [
-  {
-   "cell_type": "code",
-   "execution_count": 120,
-   "metadata": {},
-   "outputs": [],
-   "source": [
-    "import numpy as np\n",
-    "import matplotlib.pyplot as plt\n",
-    "from scipy.integrate import simpson\n",
-    "from scipy.misc import derivative\n",
-    "from math import log, exp\n",
-    "\n",
-    "R = 8.314\n"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "## One Step unfolding"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 121,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stdout",
-     "output_type": "stream",
-     "text": [
-      "Predicted Tm2: \n",
-      "222.72727272727272\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    },
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
-   "source": [
-    "T = np.linspace(50, 450, 1000)\n",
-    "Tm = 350\n",
-    "dH0 = 200e3\n",
-    "dcp0 = 2e3   # hydrophobic effect\n",
-    "\n",
-    "print(\"Predicted Tm2: \")\n",
-    "print(Tm**2 / (Tm + 2 * dH0 / dcp0))\n",
-    "\n",
-    "dH0_ = dH0 + dcp0 * (T - Tm)\n",
-    "dS0 = dH0 / Tm + dcp0 * np.log(T / Tm)\n",
-    "dmu0 = dH0_ - T * dS0\n",
-    "K = np.exp(- (dmu0 / (R*T)))\n",
-    "\n",
-    "plt.title(\"Unfolding probability\")\n",
-    "plt.xlabel(\"T / K\")\n",
-    "plt.plot(T, K / (1 + K))\n",
-    "plt.show()\n",
-    "\n",
-    "dH = K / (1 + K) * dH0_\n",
-    "plt.title(\"Enthalpy\")\n",
-    "plt.xlabel(\"T / K\")\n",
-    "plt.ylabel(\"$\\Delta H$ [kJ / mol]\")\n",
-    "plt.plot(T, dH0_ / 1000, label='$\\Delta H = \\Delta H_0 + \\Delta c_p (T - T_m)$')\n",
-    "plt.plot(T, dH / 1000, label='$\\Delta H_{eff} = K / (1 + K) \\Delta H$')\n",
-    "plt.legend()\n",
-    "plt.show()\n",
-    "\n",
-    "\n",
-    "dcp = np.gradient(dH, T)\n",
-    "plt.title(\"Heat capacity\")\n",
-    "plt.xlabel(\"T / K\")\n",
-    "plt.ylabel(\"$\\Delta c_p$ [kJ / mol K]\")\n",
-    "plt.plot(T, dcp / 1000)\n",
-    "plt.show()\n",
-    "\n",
-    "dS = np.zeros_like(dcp)\n",
-    "for i in range(0, T.size):\n",
-    "    dS[i] = simpson((dcp / T)[:i+1], T[:i+1]) + dS0[0]\n",
-    "dmu = dH - T * dS\n",
-    "\n",
-    "plt.title(\"Entropy\")\n",
-    "plt.xlabel(\"T / K\")\n",
-    "plt.ylabel(\"$\\Delta S$ [kJ / mol K]\")\n",
-    "plt.plot(T, dS0 / 1000,\n",
-    "         label='$\\Delta S_0 = \\Delta H_0 / T_m + \\Delta c_{p0} \\\\log(T / T_m)$')\n",
-    "plt.plot(T, dS / 1000, label='$\\Delta S = \\int c_p / T dT $')\n",
-    "plt.plot(T, (dH / Tm) / 1000,\n",
-    "         label='$\\Delta H_{eff} / T_m$', linestyle='dashed')\n",
-    "plt.legend()\n",
-    "plt.show()\n",
-    "\n",
-    "plt.title(\"Chemical potential\")\n",
-    "plt.xlabel(\"T / K\")\n",
-    "plt.ylabel(\"$\\mu$ [kJ/mol]\")\n",
-    "plt.plot(T, dmu0 / 1000, label='$\\Delta H_{eff} - T \\Delta S_0$')\n",
-    "plt.plot(T, dmu / 1000, label='$\\Delta H_{eff} - T \\Delta S$')\n",
-    "plt.legend()\n",
-    "plt.show()\n"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "## Helix coil transition with infinite cooperativity"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 122,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
-   "source": [
-    "T = np.linspace(50, 450, 1000)\n",
-    "n = np.array([10, 20, 50, 100])  # chain length\n",
-    "Tm = 250\n",
-    "dH0 = 4.5e3  # per amino acid\n",
-    "\n",
-    "plt.title(\"Unfolding probability\")\n",
-    "plt.xlabel(\"T / K\")\n",
-    "\n",
-    "for i in n:\n",
-    "    dS0 = (i-4) / (i-2) * dH0 / Tm\n",
-    "    dmu0 = dH0 - T * dS0\n",
-    "    K = np.exp(- (dmu0 / (R*T)))\n",
-    "    plt.plot(T, K / (1 + K), label=f\"n={i}\")\n",
-    "\n",
-    "plt.legend()\n",
-    "plt.show()\n"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "## Helix coil transition: Zipper model"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 123,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "/tmp/ipykernel_607/2856109479.py:18: RuntimeWarning: overflow encountered in multiply\n",
-      "  nom += i * (m-i+1) * sigma * K**i\n",
-      "/tmp/ipykernel_607/2856109479.py:17: RuntimeWarning: overflow encountered in power\n",
-      "  Q += (m-i+1) * sigma * K**i\n",
-      "/tmp/ipykernel_607/2856109479.py:18: RuntimeWarning: overflow encountered in power\n",
-      "  nom += i * (m-i+1) * sigma * K**i\n",
-      "/tmp/ipykernel_607/2856109479.py:20: RuntimeWarning: invalid value encountered in divide\n",
-      "  plt.plot(T, 1/m * nom / Q, label=f\"n={m}\")\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
-   "source": [
-    "T = np.linspace(50, 450, 1000)\n",
-    "n = np.array([10, 20, 50, 100])\n",
-    "dS0 = -20  # per amino acid\n",
-    "dH0 = -4.5e3  # per amino acid\n",
-    "sigma = 10e-3  # assumed to be temperature independent\n",
-    "#sigma = np.exp((4* dH0 - 2*T*dS0) / (R*T))\n",
-    "\n",
-    "K = np.exp(- (dH0 - T * dS0) / (R*T))\n",
-    "\n",
-    "plt.title(\"Expected fraction of helical segments\")\n",
-    "plt.xlabel(\"T / K\")\n",
-    "\n",
-    "for m in n:\n",
-    "    Q = 1\n",
-    "    nom = 0\n",
-    "    for i in range(1, m):\n",
-    "        Q += (m-i+1) * sigma * K**i\n",
-    "        nom += i * (m-i+1) * sigma * K**i\n",
-    "\n",
-    "    plt.plot(T, 1/m * nom / Q, label=f\"n={m}\")\n",
-    "\n",
-    "\n",
-    "plt.legend()\n",
-    "plt.show()\n"
-   ]
-  },
-  {
-   "cell_type": "markdown",
-   "metadata": {},
-   "source": [
-    "## Helix coil transition: Zimm-Bragg-Model"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 124,
-   "metadata": {},
-   "outputs": [
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
-   "source": [
-    "T = np.linspace(100, 400, 1000)\n",
-    "n = np.array([10, 20, 50, 100])\n",
-    "dS0 = -20  # per amino acid\n",
-    "dH0 = -4.5e3  # per amino acid\n",
-    "sigma = 10e-3  # assumed to be temperature independent\n",
-    "\n",
-    "\n",
-    "plt.title(\"Expected fraction of helical segments\")\n",
-    "plt.xlabel(\"T / K\")\n",
-    "\n",
-    "for m in n:\n",
-    "    K = np.array([])\n",
-    "    Q = np.array([])\n",
-    "\n",
-    "    for t in T:\n",
-    "        k = np.exp(- (dH0 - t * dS0) / (R*t))\n",
-    "\n",
-    "        q = np.array([1, 1])\n",
-    "        for i in range(0, m):\n",
-    "            q = np.matmul(np.array([[1, sigma * k], [1, k]]), q)\n",
-    "        q = np.matmul(np.array([1, 0]), q)\n",
-    "\n",
-    "        K = np.append(K, k)\n",
-    "        Q = np.append(Q, q)\n",
-    "\n",
-    "    plt.plot(T, np.gradient(np.log(Q), np.log(K)) / m, label=f\"n={m}\")\n",
-    "\n",
-    "plt.legend()\n",
-    "plt.show()\n"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": 125,
-   "metadata": {},
-   "outputs": [
-    {
-     "name": "stderr",
-     "output_type": "stream",
-     "text": [
-      "/tmp/ipykernel_607/1872439412.py:18: DeprecationWarning: scipy.misc.derivative is deprecated in SciPy v1.10.0; and will be completely removed in SciPy v1.12.0. You may consider using findiff: https://github.com/maroba/findiff or numdifftools: https://github.com/pbrod/numdifftools\n",
-      "  dlogQ_dlogsigma = np.append(dlogQ_dlogsigma, derivative(logQ_by_logsigma, log(sigma)))\n"
-     ]
-    },
-    {
-     "data": {
-      "image/png": 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",
-      "text/plain": [
-       "<Figure size 640x480 with 1 Axes>"
-      ]
-     },
-     "metadata": {},
-     "output_type": "display_data"
-    }
-   ],
-   "source": [
-    "plt.title(\"Expected number of helices\")\n",
-    "plt.xlabel(\"T / K\")\n",
-    "\n",
-    "for m in n:\n",
-    "    dlogQ_dlogsigma = np.array([])\n",
-    "\n",
-    "    for t in T:\n",
-    "        k = np.exp(- (dH0 - t * dS0) / (R*t))\n",
-    "\n",
-    "        def logQ_by_logsigma(logsigma):\n",
-    "            sigma = exp(logsigma)\n",
-    "            q = np.array([1, 1])\n",
-    "            for i in range(0, m):\n",
-    "                q = np.matmul(np.array([[1, sigma * k], [1, k]]), q)\n",
-    "            q = np.matmul(np.array([1, 0]), q)\n",
-    "            return log(q)\n",
-    "\n",
-    "        dlogQ_dlogsigma = np.append(dlogQ_dlogsigma, derivative(logQ_by_logsigma, log(sigma)))\n",
-    "\n",
-    "    plt.plot(T, dlogQ_dlogsigma, label=f\"n={m}\")\n",
-    "\n",
-    "plt.legend()\n",
-    "plt.show()\n"
-   ]
-  },
-  {
-   "cell_type": "code",
-   "execution_count": null,
-   "metadata": {},
-   "outputs": [],
-   "source": []
-  }
- ],
- "metadata": {
-  "kernelspec": {
-   "display_name": "venv",
-   "language": "python",
-   "name": "python3"
-  },
-  "language_info": {
-   "codemirror_mode": {
-    "name": "ipython",
-    "version": 3
-   },
-   "file_extension": ".py",
-   "mimetype": "text/x-python",
-   "name": "python",
-   "nbconvert_exporter": "python",
-   "pygments_lexer": "ipython3",
-   "version": "3.8.10"
-  },
-  "orig_nbformat": 4
- },
- "nbformat": 4,
- "nbformat_minor": 2
-}