{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "#This code replicates Model SIM (from Godley and Lavoie 2007)\n",
    "#Created by Marco Veronese Passarella\n",
    "#April 24th, 2020"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<script>\n",
       "    // AUTORUN ALL CELLS ON NOTEBOOK-LOAD!\n",
       "    require(\n",
       "        ['base/js/namespace', 'jquery'], \n",
       "        function(jupyter, $) {\n",
       "            $(jupyter.events).on(\"kernel_ready.Kernel\", function () {\n",
       "                console.log(\"Auto-running all cells-below...\");\n",
       "                jupyter.actions.call('jupyter-notebook:run-all-cells-below');\n",
       "                jupyter.actions.call('jupyter-notebook:save-notebook');\n",
       "            });\n",
       "        }\n",
       "    );\n",
       "</script>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "%%html\n",
    "<script>\n",
    "    // AUTORUN ALL CELLS ON NOTEBOOK-LOAD!\n",
    "    require(\n",
    "        ['base/js/namespace', 'jquery'], \n",
    "        function(jupyter, $) {\n",
    "            $(jupyter.events).on(\"kernel_ready.Kernel\", function () {\n",
    "                console.log(\"Auto-running all cells-below...\");\n",
    "                jupyter.actions.call('jupyter-notebook:run-all-cells-below');\n",
    "                jupyter.actions.call('jupyter-notebook:save-notebook');\n",
    "            });\n",
    "        }\n",
    "    );\n",
    "</script>"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Import packages\n",
    "%matplotlib inline\n",
    "from ipywidgets import interactive \n",
    "import matplotlib.pyplot as plt \n",
    "import numpy as np"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Set number of periods\n",
    "nperiods=100\n",
    "\n",
    "#Define variables as matrices of zeros (or ones)\n",
    "y = np.zeros([6,nperiods],dtype = float)\n",
    "cons = np.zeros([6,nperiods],dtype = float)\n",
    "gov = np.zeros([6,nperiods],dtype = float)\n",
    "tax = np.zeros([6,nperiods],dtype = float)\n",
    "yd = np.zeros([6,nperiods],dtype = float)\n",
    "h_h = np.zeros([6,nperiods],dtype = float)\n",
    "h_s = np.zeros([6,nperiods],dtype = float)\n",
    "n = np.zeros([6,nperiods],dtype = float)\n",
    "w = np.ones([6,nperiods],dtype = float)\n",
    "sav = np.zeros([6,nperiods],dtype = float)\n",
    "\n",
    "#Identify coefficients\n",
    "alpha1=0.6*np.ones([6,nperiods],dtype = float)\n",
    "alpha2=0.4\n",
    "theta=0.2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Create model using three loops (time, iterations and scenarios)\n",
    "i = 1 #Time index\n",
    "z = 1 #Iteration index\n",
    "j = 0 #Scenario index\n",
    "\n",
    "for j in range(0,6): \n",
    "    for i in range(1,nperiods):\n",
    "        for z in range (1,20):\n",
    "            \n",
    "            if i > 70 and j == 1: alpha1[j,i]=0.70\n",
    "            if i > 70 and j == 2: alpha1[j,i]=0.75\n",
    "            if i > 70 and j == 3: alpha1[j,i]=0.80\n",
    "            if i > 70 and j == 4: alpha1[j,i]=0.85    \n",
    "            if i > 70 and j == 5: alpha1[j,i]=0.90    \n",
    "            \n",
    "            y[j,i]=cons[j,i]+gov[j,i]                         #Output (income) \n",
    "            cons[j,i]=alpha1[j,i]*yd[j,i] + alpha2*h_h[j,i-1] #Consumption\n",
    "            n[j,i]=y[j,i]/w[j,i]                              #Employment\n",
    "            tax[j,i]=theta*w[j,i]*n[j,i]                      #Taxes\n",
    "            yd[j,i]=w[j,i]*n[j,i]-tax[j,i]                    #Disposable income\n",
    "            h_s[j,i]=h_s[j,i-1]+gov[j,i]-tax[j,i]             #Supply of money\n",
    "            h_h[j,i]=h_h[j,i-1]+yd[j,i]-cons[j,i]             #Demand for money\n",
    "            sav[j,i]=h_h[j,i]-h_h[j,i-1]                      #Saving (not included in original model)\n",
    "            if i > 5: gov[j,i] = 20                           #Government spending (trigger)\n",
    "            z += 1\n",
    "        i += 1\n",
    "    j += 1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Create auxiliary variable (time)\n",
    "time = np.linspace(0, nperiods, nperiods)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[0, 50, 0, 110]"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Plot output components under baseline\n",
    "plt.plot(time,y[0,],lw=1)\n",
    "plt.title('Fig. 1 - SIM model baseline: output components')\n",
    "plt.plot(time,cons[0,],lw=1)\n",
    "plt.plot(time,gov[0,],'--',lw=1)\n",
    "plt.text(25, 60,r\"$Y=C+G$\", horizontalalignment='left', fontsize=11);\n",
    "plt.text(25, 50,r\"$C=\\alpha_1 \\cdot YD_{-1}+\\alpha_2 \\cdot H_{h,-1}$\", horizontalalignment='left', fontsize=11);\n",
    "plt.text(25, 40,r\"$G=\\bar{G}$\", horizontalalignment='left', fontsize=11);\n",
    "plt.legend(('$Y$','$C$','$G$'), loc='upper left')\n",
    "plt.axis([0, 50, 0, 110])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[<matplotlib.lines.Line2D at 0x2d331d69ac8>]"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Plot consumption and disposable income (Figure 3.2 in Godley and Lavoie 2007)\n",
    "plt.plot(time,cons[0,],lw=1)\n",
    "plt.title('Fig. 2 - SIM model baseline: $C$ and $YD$')\n",
    "plt.plot(time,yd[0,],lw=1)\n",
    "plt.legend(('$C$','$YD$'), loc='upper left')\n",
    "plt.axis([0, 50, 0, 110])\n",
    "ceiling = np.linspace(80, 80, nperiods)\n",
    "plt.plot(ceiling,'k--',lw=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.4, -0.1, 'Fig. 3 - SIM model baseline: $H_h$ and $\\\\Delta H_h$')"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAeUAAAFvCAYAAAB0G9PcAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAgAElEQVR4nOzdd3hUVfrA8e9JISShBgEjvSNJIFSpUoIgUkV0Ed3FArg/y1pRWFdl3VVxUUF0FREQRNoSxLoCiqBEipDQliYttIChh5RJmMz7++MmIUB6pqS8n+e5z+TeuffcNyPmnXPuKUZEUEoppZTneXk6AKWUUkpZNCkrpZRSJYQmZaWUUqqE0KSslFJKlRCalJVSSqkSQpOyUkopVUKUuqRsjBnn6RjKCv0snUc/S+fRz9J59LN0Hnd9lqUuKQP6j8x59LN0Hv0snUc/S+fRz9J5NCkrpZRS5Ylx54xeXl5e4u/vX6wy7HY7Pj4+ToqofNPP0nn0s3Qe/SydRz9L50lOThYRcXlF1q3/tfz9/UlKSnLnLZVSSqliM8akuOM+2nytlFJKlRCalJVSSqkSQpOyUkopVUJoUlZKKaVKCE3KSimlVAmhSVkppZQqITQpK6WUUiWEJmWllFKqhNCkrJRSSpUQmpSVUkqpEkKTslJKKVVCaFJWSimlSghNykoppZQTGGOeNsbsMsb8zxizyBhT0RjTyBizyRiz3xizxBhTIa8yNCm72f6z++n7aV/Op5z3dChKKaWcxBhTB/gL0EFEQgFvYCTwJjBVRJoB54GH8ypHk7KbTd04ldWHV/Pp9k89HYpSSinn8gH8jTE+QABwEugDRGa8Pw8Yll8Byo2a12gOQNOgph6ORClVrolAenrBNofj6tecjjkcV7Zr96/dRHLfz/w5r9fMLfv+te/ldiy3LfMzyWnf4mOM2ZLtE5wpIjOvfJxywhjzFnAUSAFWAdHABRGxZ5x2HKiT138WTcpu5uNlfeSd6nTycCRKKacQAbsdbDZISbnymppqbTbblZ+z76el5b9dvnz1lv2Y3X7lNa+f7XYrSV67n57u6U+udDDG2sAuIh1yP81UB4YCjYALwFJgQA6nSg7HsuSblI0xc4BBQHxGOznGmCnAYCANOAg8KCIX8itLQfWK1Wl5Q0v2n9tPzcCang5HqfLB4YDEREhIsLbExKu3pKTr95OTrS0l5crP2bfsCdjhcE6cPj5QoYK1+frmvGW+5+MDfn5QqZL1s4/PlePZ9729rz6Wfd/bu2Cbl1feP2d/zdwy9425+j1jrj4v+37mz9lfr30/+7HC7Bdkg6t/zi6nY1frCxwWkdPW6eZzoCtQzRjjk1FbrgvE5flPoAD/TOYC7wPZH4J+D0wUEbsx5k1gIvBCAcoq9+5rfR+/J/1OtzndOPXsKWpXqu3pkJQq+RwOuHgRzpyBc+fg/Hm4cOH618wtM/lmbpcuFfxefn4QEACBgdZr9u2GG6xXf39rq1jx+tfsm5/fldfMLft+ZgLOTLRe2s2nFDsKdDbGBGA1X0cAW4A1wAhgMTAa+DKvQvJNyiLyszGm4TXHVmXb3ZhxQ1VA7YLbARBzMoYBzXJq3VCqjHM4rOT6++/Xb6dPw9mzVgI+c8b6+ezZvGujfn5QvTpUq3Zlq18fqlSBypWt18ytcmVrq1TpyhYYeOXV19d9n4MqM0RkkzEmEogB7MBWYCbwLbDYGPPPjGOz8yrHGc+UHwKW5PamMWYcMA6gQoU8h2eVC1M3TGX+jvmAJmVVBolYNdUTJ6zt+PErP584AXFxcOoUxMfn/EzT1xdq1oQaNaxaaWio9Zq5X6MGBAVZCTgzCVevbtU+lfIwEXkFeOWaw4eAAnciKlZSNsa8iPWNYEFu52T0TpsJEBgYmOcD7vLg0PlDxF6IpVlQM6JPRns6HKUKR8SqycbGWtvhw1d+jo2Fo0et563XqlkT6tSxtnbtoHbt67cbb7SSbP7P7pQqs4qclI0xo7E6gEWISLlPtgVls9uo6FORdsHt2Hh8o6fDUep6Ilaz8W+/Xb8dOnR90g0KgkaNICQEBgyAunWvJOC6dSE42GpeVkrlq0hJ2RhzO1bHrp4iksPXYpWb1PRUKvpU5OnOT5OQmoCIYLRmoDxBxGpS3rnT2v73P9i3z0q+F7INpvD1hSZNoFkzuO02aNjQSsING0KDBtZzWqWUUxRkSNQioBdwgzHmOFZ7+UTAD/g+I6FsFJE/uzDOMsNmt+Hn48ctdW/xdCiqPElKgu3breS7Y8eVRJw9+dapAy1bwqhR0Lz5la1BA2v4jFLK5QrS+/reHA7n2XtM5a5ZUDP8ff0BWHFgBZUrVKZb/W4ejkqVKWlpVsLdvNnafv0Vdu++0nu5cmUIC4M//MF6zdyqV/ds3EopjDsfBwcGBkpSUpLb7lfSNZnehHbB7Vh691JPh6JKs+PH4aefYONGKwlv22bNGAVWj+WOHa2tQwdo3doaKqSPTJQqFGNMsogEuvo+2iblQe2D27Mlbkv+JyqVXWyslYQzt0OHrOOVKkH79vDEE1YS7tTJanrWBKxUqaFJ2c3u+s9d1AyoyYxBM6xa8u6lnE85T3V/bTpUuYiLgxUrYO1aKwkfPWodDwqCW2+1knDPnlYt2Nvbo6EqpYpHk7KbHTh3AIdYz/baB7cHrElEIhpHeDIsVZKkp8OmTfDf/8K331rN0WCN9e3ZE8aPt15DQnRaRqXKGE3Kbmaz2/DztsZsZp9uU5NyOXf2LKxcaSXhFSusKSi9vaFrV5g82Rr/GxamTdFKlXGalN0sc/IQgBoBNdj96G6a1Wjm4aiUR5w9C59/DosXW03TDodVGx40CAYOtMYEa49opcoVTcpulmpPzUrKADfXvNmD0Si3S0iAL7+0EvGqVdbats2bw1//CoMHWz2ktUlaqXJLk7Kb9W7Umza122Ttbz+1nZnRM3k94nWqVqzqwciUy6SkwDffWIn422+t4Ur168Mzz8DIkRAers3SSilAxyl73IoDKxiwYABrRq+hV8Neng5HOdOePfDRRzBvnjVz1o03wj33WIm4c2dNxEqVIjpOuZzI7OwVHRetSbksSE2F5cthxgxr+JKvL4wYAWPGWD2mdciSUioP+vDKjWx2G8FvB/PB5g+yjtUKrEXdKnWJORXjwchUsR06BBMmQL16cO+9cOwYvPmmNdvWwoXQp48mZKVUvrSm7EY2u41TiadItadedbx9cHui43Rt5VLp55+tIUvffWcl3SFD4M9/hr59tcOWUqrQ9K+GG2Um4+y9r8FKyja7jbT0NE+EpQpLxErCPXpYTdLR0fDKK3DkiDXEqV8/TchKqSLRvxxuZLPbgOuT8l97/JXYp2Kp4F3BE2GpgnI4rKTboQPccYeVhN97z5qLetIka+lDpZQqBm2+dqPMpOzn43fVcW8vfdZYotnt1nCmN96wlkBs2hRmz4b774cK+kVKKeU8WlN2owDfAO4NvZfG1Rtf996j3z7K+FXjPRCVypUILFoELVrAH/9oNUkvWgR798JDD12XkJ9++mmmTZuWtd+/f3/GjBmTtf/ss8/yzjvvFCmUSpUqceHCBT744EonwdjYWEJDQwt8vbMVpMyPPvqIRx999KpjISEh7N271+nxKFUWaFJ2o3pV67HwroV0rtv5uveOJRzj2/3feiAqlaONG615p0eNgipV4IsvYPt2a4xxLr2ou3btyvr16wFwOBycOXOGXbt2Zb2/fv16unXrVuSQrk3KpcGOHTto27Zt1r7NZuPo0aM0a6ZTyyqVE03KJUT74PbsPbOXpDSdXMWjjh2D++6DLl2sZ8Vz5sCWLTB0aL6dt7p165aVlHft2kVoaCiVK1fm/PnzpKamsmfPHtq2bctnn31Gp06dCA8P55FHHiE9PT2rjGHDhtG+fXtCQkKYOXPmVeVPmDCBgwcPEh4ezvjxVqtKeno6Y8eOJSQkhH79+pGSkpLvr5jT/V944YWrEv6kSZN4++23cz2/oHbu3Em7du2u2m/evDneOjxMqZyJiNu2gIAAKc++P/i9VHq9kmw6vum6977a+5UwCYk6EuWByJQkJoq8/LKIv79IxYoiL74okpBQ6GIaNGggR44ckRkzZsiHH34of/vb3+Tbb7+VqKgo6dGjh+zevVsGDRokaWlpIiLyf//3fzJv3rys68+ePSsiIsnJyRISEiJnzpwREZHAwEA5fPiwhISEZJ17+PBh8fb2lq1bt4qIyN133y3z58/PMa7AwEARkVzvHxMTI7feemvW+TfffLMcOXIkz3gzy8xLUFCQ1K9fXxo0aCANGjSQGjVqyOjRo/P/IJUqYYAkcUOe1I5ebpR8OZnEtER8vK7/2LNm9joZTbf6RW/iVIXkcMD8+daCEHFxVvP05MnQoEGRisusLa9fv55nnnmGEydOsH79eqpWrUrXrl1ZvXo10dHRdOzYEYCUlBRq1aqVdf306dNZvnw5AMeOHWP//v3UqFEj1/s1atSI8PBwANq3b09sbGye8eV2/z/96U/Ex8cTFxfH6dOnqV69OvXr1+f999/PM968HDt2jJo1a171/Pjxxx+nceMrfSrGjBnDrFmzClSeUuWBJmU3ym1IFMBNlW+if5P+VPXTRSnc5rff4MEHYf166NQJli61niMXQ+Zz5Z07dxIaGkq9evV4++23qVKlCg899BCxsbGMHj2aN95447pr165dyw8//MCGDRsICAigV69e2Gy2PO/n53elJ7+3t3e+zdcikuv9R4wYQWRkJKdOnWLkyJH5np+fHTt2EBISctWx3bt3M3ToUACSk5M5cOAAL774Irt37876MqJUaWSMaQEsyXaoMfAy8GnG8YZALHCPiJzPrRx9puxGeSVlYwwr7l/B6PDR7g6r/HE44N13rdWZdu+GuXNhw4ZiJ2SwasrffPMNQUFBeHt7ExQUxIULF9iwYQNdunQhIiKCyMhI4uPjATh37hxHjhwB4OLFi1SvXp2AgAD27t3Lxo0bryq7cuXKXLp0qVjx5XX/kSNHsnjxYiIjIxkxYkS+519b7okTJ646tnPnTlq1anXVsV27dtG6dWsAYmJiGDBgAK+99hqBgS6f518plxKRfSISLiLhQHsgGVgOTABWi0gzYHXGfq40KbtRbjN6ZZfuSCfdUfCONKqQDh6EXr3gqaes+ah37YLRo502A1dYWBhnzpyhc+fOVx2rWrUqN9xwA61ateKf//wn/fr1o3Xr1tx2222cPHkSgNtvvx273U7r1q156aWXrioDoEaNGnTr1o3Q0NCsjl6Fldf9Q0JCuHTpEnXq1CE4ODjf8zM5HA4OHDhAUFDQVcevTcrnzp1DRKhduzYAmzdvZvDgwQDa8UuVNRHAQRE5AgwF5mUcnwcMy/NKdzy4ztzKe0evtYfXytivxkqCLecORGsPr5XA1wJlw7ENbo6sHEhPF3n/fZGAAJEqVUQ++UTE4fB0VGXCzp075emnny70dWPGjBG73S6nT5+WZ5991gWRKeU8QCqwJds2TnLJdcAc4PGMny9c89753K4TEV1PuSQ5evEoDaY14P0B7/NYp8c8HU7ZERtrTfaxZg307w+zZkHdup6OSilVihR0PWVjTAUgDggRkd+NMRdEpFq298+LSPXcrtfmazdKd6ST15egelXqcUPADUSf1BWjnEIEPv4YwsKsscYff2wtJKEJWSnlOgOAGBH5PWP/d2NMMEDGa3xeF2tSdqOX17xMhX/mPleyMYb2we2JOalrKxdbSgo88ACMGwe33AI7d8KYMWCMpyNTSpVt9wKLsu1/BWT24B0NfJnXxZqU3Sg1PRU/b788z2kf3J5dp3dl9dRWRXDkCHTvDp9+ai2puGpVkccdK6VUQRljAoDbgM+zHZ4M3GaM2Z/x3uS8ytBxym5ks9vy7HkNMLD5QHy9fUm1p+Z7rsrBjz/CPffA5cvw5ZcwZIinI1JKlRMikgzUuObYWaze2AWiNWU3KkhS7lqvK5N6TaJqRZ1EpFBE4O234bbboFYt+PVXtyfklJQUevbsWai5oUuCadOmkZycXKRrJ02axFtvvXXd8eeee44ff/yxuKEpVe5oUnajgiRlgITUBP4X/z83RFRGJCVZqzk99xwMGwabNlnLLbrZnDlzGD58eKkbc1ucpJybJ554gsmT82ylU0rlQJOyG93R7A7Gthub73kPfvkgQxcPdUNEZcDBg9aKTkuWwOuvQ2QkVK7skVAWLFiQNYXk2rVr6dmzJ/fccw/NmzdnwoQJLFiwgE6dOhEWFsbBgwcBOHLkCBEREbRu3ZqIiAiOHj0KwAMPPMBf/vIXunbtSuPGjYmMjMy6z5QpU+jYsSOtW7fmlVdeAeCll17i3XffzTrnxRdfZPr06VfFl5SUxMCBA2nTpg2hoaEsWbKE6dOnExcXR+/evenduzcAixYtIiwsjNDQUF544YWs61esWEG7du1o06YNERHXt8Z9/PHHDBgwgJSUFBo0aMDZs2c5deqUMz5apcqPvAYxO3sr75OHFNQ7698RJiEnEk54OpSS7eefRapXt7bvvvNoKKmpqVK7du2s/TVr1kjVqlUlLi5ObDab3HTTTfLyyy+LiMi0adPkySefFBGRQYMGydy5c0VEZPbs2TJ06FARERk9erSMGDFC0tPTZdeuXdKkSRMREVm5cqWMHTtWHA6HpKeny8CBA+Wnn36Sw4cPS9u2bUVEJD09XRo3bpy1wlSmyMhIGTNmTNb+hQsXRMRa2er06dMiInLixAmpV6+exMfHy+XLl6V3796yfPlyiY+Pl7p168qhQ4dE5MpqVq+88opMmTJF3nvvPRk8eLDYbLas8seMGSORkZHO+HiV8jjctEqU1pTdKCE1geTL+TcTdq/fHYBfjv7i6pBKrxUrrIlAatWCzZvh9ts9Gs6ZM2eoVq3aVcc6duxIcHAwfn5+NGnShH79+gHWtJuZqzlt2LCBUaNGAfDHP/6RqKiorOuHDRuGl5cXrVq14vffrSGPq1atYtWqVbRt25Z27dqxd+9e9u/fT8OGDalRowZbt27Nev/a1aXCwsL44YcfeOGFF1i3bh1Vq17fb2Hz5s306tWLmjVr4uPjw3333cfPP//Mxo0bufXWW2nUqBHAVVNqzp8/n++++45ly5ZdtUBGrVq1iIuLK+pHqlS5pEnZjQYuHMjgRYPzPS/8xnACfAOIOhqV77nl0tKlVieuFi3g55+hSRNPR4S/v/91KzplT1BeXl5Z+15eXtjt9hzLMdnGUWe/XjImnRERJk6cyLZt29i2bRsHDhzg4YcfBqxlEOfOncsnn3zCQw89dF3ZzZs3Jzo6mrCwMCZOnMirr7563TmZ98npuMlljHdoaCixsbEcP378quM2mw1/f/8cr1FK5SzfpGyMmWOMiTfG/C/bsSBjzPfGmP0Zr7lOGaauKGhHL19vXzrX7UzUMU3K15kzx1rzuFMna9rMAq7t62rVq1cnPT0936UWr9W1a1cWL14MWM+ku3fvnuf5/fv3Z86cOSQmJgJw4sSJrBWc7rzzTlasWMHmzZvp37//ddfGxcUREBDA/fffz3PPPUdMjDVJTfbVp2655RZ++uknzpw5Q3p6OosWLaJnz5506dKFn376icOHDwPW4hKZ2rZty0cffcSQIUOuqhn/9ttvhIaGFurzUKq8K8g45bnA+1hrQmbKXIpqsjFmQsb+Czlcq7IpaFIGeL3P6/j55D3RSLkzdSo88wz06weffw4lbLm/fv36ERUVRd++fQt8zfTp03nooYeYMmUKNWvW5JNPPsn3Hnv27KFLly4AVKpUic8++4xatWpRoUIFevfuTbVq1XLsAb5z507Gjx+Pl5cXvr6+fPjhhwCMGzeOAQMGEBwczJo1a3jjjTfo3bs3IsIdd9yR1Xlt5syZDB8+HIfDQa1atfj++++zyu7evTtvvfUWAwcO5Pvvv6dq1aocOHCADh06FPizUEpRsAUpjDENgW9EJDRjfx/QS0ROZszluVZE8h2DUt4XpGj+XnM63NSBhXct9HQopYsI/P3v1nbXXbBgAfiVvC8sW7du5Z133mH+/Pkeub/D4aBdu3YsXbqUZs2aeSSGTMuXLycmJoZ//OMfHo1DKWcp6IIUxVXUZ8q1ReQkQMZryWhDLOEKU1MGWLprKd/+9q0LIyoFHA54+mkrIT/wACxeXCITMljNuL179/bI5CG7d++madOmREREeDwhA9jtdp599llPh6FUqVPUmnKBl6IyxowDxgFUqFChfWpqqhPCLp2mbZxGk+pNGNwi/85eAO0+akd1/+qs/tNqF0dWQqWnw9ix8Mkn8OST8M474KV9E5VS7ueumnJR577+3RgTnK35OtelqERkJjATrObrIt6vTHiq81OFOr97/e7M3jqby+mX8fX2dVFUJZTDAQ8+CPPnW4tKvPKKrvCklCrzilrtKNRSVMpy5MIRLqVeKvD53et3J/lyMtt/3+7CqEqoCROshPzqqzBpkiZkpVS5UJAhUYuADUALY8xxY8zDFHIpKgUOcdDw3Ya8s+GdAl/TrV43gPI3XnnqVJgyBR57DP72N09Ho5RSbpNv87WI3JvLWwVeikpBqt16ll6Yjl51qtShYbWG5WtxikWLrGFPd90F776rNWSlVLmi6ym7ic1uTSpR2DWSY8bFUK1itfxPLAu+/x5Gj4aePeGzz6CUrbaklFLFpUnZTYqalKv7l5PJ0mJiYPhwaNkSvvgCKhbuc1JKqbJAx5e4SVGT8kXbRUYtG8Xnez53RVglw8GDMGAABAVZC01UKyctA0opdQ1Nym5SrWI1pvWfRqc6nQp1XWW/yqw4sILv9n/nosg8LD7eWuEpPR1WroSbbvJ0REop5THafO0m1f2r82TnJwt9nZfxolv9bmVzcYrERLjjDjhxAn780Wq6Vkqpckxrym6SlJbErvhdJKUVfu7v7vW6s/fMXk4nnXZBZB6Sng733APbtllLMXbu7OmIlFLK4zQpu8nmuM2EfhjK5rjNhb62e31rOb/1x9Y7OyzP+cc/4Lvv4IMPYOBAT0ejlFIlgiZlN8ns6OXnXfjFFDrc1IH2we1JF/cvdOASq1ZZM3WNHm3Nba2UUgrQZ8puU9Te1wB+Pn5sGbfF2SF5xvHjcN99EBJi1ZJ1chCllMqiNWU3KU5SzpTuSCfdUYpry5cvwx/+ADYbREZCQICnI1JKKacxxlQzxkQaY/YaY/YYY7oYY4KMMd8bY/ZnvOY5+YQmZTcpblLedHwTQf8KKt3zYE+cCOvXw6xZ0KKFp6NRSilnexdYISItgTbAHmACsFpEmgGrM/ZzpUnZTbrV68aswbOoGVizSNc3q9GMhNSE0puUv/gC3n4bHn3Uqi0rpVQZYoypAtwKzAYQkTQRuQAMBeZlnDYPGJZnOSLuW+I4MDBQkpIKPyRIWUI/CKVe1Xp8d18pm0jk0CFo1w6aNYOoKPArfGc3pZTyJGNMsogE5vF+ODAT2I1VS44GngROiEi1bOedF5Fcm7C1puwmxy4eY9PxTTjEUeQyutfvzvpj60vXc2WbDUaMsDp0/ec/mpCVUqWVjzFmS7Zt3LXvA+2AD0WkLZBEPk3VOdGk7CafbPuEzrOLN0FG9/rdSUhNKF1LOT71FGzdCp9+Co0aeToapZQqKruIdMi2zbzm/ePAcRHZlLEfiZWkfzfGBANkvMbndRNNym5is9uo4F0BL1P0j7xXw1682ONFqlas6sTIXGjBAvjoI3j+eRg82NPRKKWUy4jIKeCYMSazF2sEVlP2V8DojGOjgS/zKkfHKbuJzW4r0sQh2dWtUpd/9vmnkyJysQMHYNw46NEDXnvN09EopZQ7PAEsMMZUAA4BD2JVfv9jjHkYOArcnVcBmpTdxGa3FWuMcqbky8lsidtCj/o9MCV14g0Ra6YuX19YtAh89J+ZUqrsE5FtQIcc3oooaBnafO0mzkrKc7bOoefcnhy9eNQJUbnIrFmwdi1MmQJ16ng6GqWUKjU0KbvJox0f5cOBHxa7nMzFKX459kuxy3KJuDgYPx569YIxYzwdjVJKlSqalN2kw00dGNi8+KshhdUKo3KFyiVzEhEReOwxSE2Fjz/Wea2VUqqQ9GGfm2yJ24KI0LFOx2KV4+3lTdd6XVkbu9Y5gTnTsmXWzF1vvglNm3o6GqWUKnW0puwmL/zwAs+sesYpZd3W+Db2nNnDsYvHnFKeU5w7B48/bs3c9Yxzfk+llCpvtKbsJja7jQBf56yKNCpsFN3rd+emyjc5pTynGD8ezpyBFSu0t7VSShWR/vV0E5vdRpB/kFPKCq4cTHDlYKeU5RSrV8OcOTBhAoSHezoapZQqtbT52k2cMXlIdltPbuXZlc96fh7s5GRrkpBmzeDllz0bi1JKlXKalN3EWeOUM+07u493Nr7D5rjNTiuzSF5+2VoF6uOPwd/fs7EopVQpp83XbjJ36Fyq+FVxWnm3Nb4Ng2HVwVV0rlu8hS6KbPNmmDrVqin37OmZGJRSqgzR9ZRLsU4fd8LX25dfHvLARCKXL0OHDlbnrt27oWopWSRDKaWKIL/1lJ1Fm6/dZNnuZeyK3+XUMvs16cem45u4YLvg1HILZNo02LEDPvhAE7JSSjmJJmU3GblsJIv+t8ipZfZv0p8bAm5g/9n9Ti03X2fPWis/DRwIQ4e6995KKVWG6TNlN7A77Ngddqf2vgboVr8bJ5896f7Vol57DS5dsmbuUkop5TSalN0g1Z4K4NTe1wBexmroyOwX4JbkfPgw/Pvf8OCDEBLi+vsppVQ5os3XbmCz2wDnJ2WAn2J/osG0Bvx29jenl52jv/0NvL3h7393z/2UUqoc0aTsBq5MyvWq1uNYwjFWHlzp9LKvExMDCxfC00/rOslKKeUCxRoSZYx5GhgDCLATeFBEbLmdX16HRKXaU9l6aisNqzXkxko3Or38Zu81o0WNFnwz6hunl51FBG67DbZtg4MHtce1UqpcKfFDoowxdYC/AB1EJBTwBkY6K7CyxM/Hj851O7skIYPVC3tN7JqsZ9cusWqVNcf1yy9rQlZKKRcpbvO1D+BvjPEBAoC44odU9sQnxTNn6xyOJxx3Sfn9m5r4vIkAACAASURBVPQn+XIyvxxz0SQi6enw/PPQuDH8+c+uuYdSSqmiJ2UROQG8BRwFTgIXRWSVswIrS/af3c/DXz3M7tO7XVJ+70a9GdtuLDcE3OCS8lmwwJoo5PXXoUIF19xDKaVUsZqvqwNDgUbATUCgMeb+HM4bZ4zZYozZYrfbix5pKZaa7pohUZkqVajEzMEzaV27tfMLt9msHtcdOsDddzu/fKWUUlmK03zdFzgsIqdF5DLwOdD12pNEZKaIdBCRDj4+5XNYtCt7X2cSEbaf2u78KTffew+OHYN//Qu8tLO+Ukq5UnH+yh4FOhtjAow1a0UEsMc5YZUtmUnZ2TN6Zbft1DbCPwrnq31fOa/Qc+esJus77oDevZ1XrlJKqRwV55nyJiASiMEaDuUFzHRSXGWKO2rKbW5sQ82Amqw66MTH+q+/DhcvwuTJzitTKaVUrnTpRjdISE3g2MVjNA1qip+P62rL939+P6sOruLUc6eypuAssthYaNEC7rsP5sxxSnxKKVVaFWScsjEmFrgEpAN2EelgjAkClgANgVjgHhE5n1sZ+pDQDar4VSGkVohLEzJYQ6NOJ59m26ltxS/s5ZetZ8ivvlr8spRSqvzoLSLhItIhY38CsFpEmgGrM/ZzpUnZDbbEbWH6pumkpae59D79mvQDYOWBYk65efiwNZ3mo49C3bpOiEwppcqtocC8jJ/nAcPyOlmTsht8f/B7nlzxJA5xuPQ+tSvV5sc//cgTtzxRvIKmTrVqyU8/7ZzAlFKqfBBglTEm2hgzLuNYbRE5CZDxWiuvAsrnGCU3c0fv60y9GxWzl/SZMzBrlvUsWWvJSimVyccYsyXb/kwRubZzczcRiTPG1AK+N8bsLfRNihWiKhCb3Yaft59b1jtOSE1g2sZp9GnUh+71uxe+gA8+gJQUeO455wenlFKllz3bc+IciUhcxmu8MWY50An43RgTLCInjTHBQHxeZWjztRukpqe6dDhUdn7efrz5y5ss2rmo8BcnJ1uThQwaBCEhzg9OKaXKKGNMoDGmcubPQD/gf8BXwOiM00YDX+ZVjtaU3cBmt7m853UmPx8/ejXsxapDRRivPHeu1Xz9/PNOj0sppcq42sDyjBZRH2ChiKwwxmwG/mOMeRhr0q085yvWccpucMF2gUupl6hXtZ5b7vfepvf4y4q/sO/xfTSv0bxgF9nt1rjkWrVg/XpwQ1O7UkqVFiV+PWVVcNUqVnNbQgYY1tLqcb9s97KCX/T553DokFVL1oSslFIeoUnZDRbtXMTsmNluu1+9qvXo2aAn51LOFewCEWvBiebNYcgQ1wanlFIqV/pM2Q0+3fEp51LO8XC7h912zx9H/1jwqTbXrIHoaJg5E7y9XRuYUkqpXGlN2Q1sdpvbel9nykzImWOk8/Svf0Ht2vDHP7o4KqWUUnnRpOwGmeOU3e2hLx+iz7w+eZ+0fTusXAlPPgkV3fvFQSml1NU0KbuBJ2rKAM2CmrHh+AaOXTyW+0lTpkClSvDnP7svMKWUUjnSpOwGqXb3TR6S3V2t7gLg8z2f53zCkSOweDGMGwfVq7sxMqWUUjnRccpukJiWiIhQ2a+y2+/dZkYbqvhVYd2D665/8+mn4f33raFQ9dw3ZEsppUobHadchlSqUMkjCRngrpvv4pejv3Dy0smr3zh3Dj7+GEaN0oSslFIlhA6JcoO//fg3bqlzC4NbDHb7ve8Lu49agbUIrHDNF7wPP4SkJF14QimlShBtvnaDgNcCeKzjY0zpN8XToVhsNmjQADp0gG+/9XQ0SilV4mnzdRkhIh7rfZ3pfMp5ZkbP5HTSaevA8uUQH289U1ZKKVViaFJ2MbvDjiAeTcpHLx7lkW8eYfne5daBWbOgcWPok88YZqWUUm6lSdnFMmfU8mRSbl27NU2DmrJszzI4eBB+/BEeegi89D+/UkqVJPpX2cUyk7K71lPOiTGGu26+ix8P/0jKR/+2kvEDD3gsHqWUUjnTjl5u4BAHIoK3l+cWe9gSt4XOMzqS8GE1Ajp3h6+/9lgsSilV2riro5cOiXIDL+MFHl6iuH1we0afqkXAmXgYM8azwSillMqRNl+72PGE4zzy9SNsO7XNo3EYY5hxqqO1GtQdd3g0FqWUUjnTpOxipxJPMTNmJscTjns2kJMn8f3vCnjgAcRHG0iUUqok0qTsYlkdvTywdONV5s2D9HRebnyEUZ+P8mwsSimlcqRJ2cVKwpAoRGD2bOjZkwv1arJ8z3IupV7yXDxKKaVypEnZxUpEUv75ZzhwAMaMYUSrEaSmp/Lf/f/1XDxKKaVypEnZxRziINA30LNJedYsqFoV7rqLbvW6UTuwtjWRiFJKqRJFe/y42JAWQ0j8a6LnAjh/HiIjrRm8/P3xBobfPJx52+eRfDmZAN8Az8WmlFLqKpqUy7qFC61VobKNTR7dZjS1AmuRlp6mSVkppUoQndHLxVYcWMH8HfOZMXAGlf0quz+Atm2taTWjo91/b6WUKiMKMqOXMcYb2AKcEJFBxphGwGIgCIgB/igiaXmVoc+UXWxX/C4W7lyI4L4vP1liYmDbthxn8EpLT2P5nuWcvHTS/XEppVTZ9CSwJ9v+m8BUEWkGnAcezq8ATcoulpqeCnio9/WsWVCxItx773VvHb14lOH/Gc4n2z5xf1xKKVXGGGPqAgOBWRn7BugDRGacMg8Yll85xUrKxphqxphIY8xeY8weY0yX4pRXFtnsNgwGXy9f9944ORkWLIC774Zq1a57u2lQU3o26MmcrXNwiMO9sSmlVNkzDXgeyPyDWgO4ICL2jP3jQJ38CiluTfldYIWItATacHW1XWElZT8fP6wvTW4UGQkJCXkuPvFw24c5eP4gPx/52Y2BKaVUqeRjjNmSbRuX+YYxZhAQLyLZO+/k9Ec/3+eYRU7KxpgqwK3AbAARSRORC0Utr6zy9/GnXpV67r/xrFnQrBn06JHrKXe1uosqflWYvXW2GwNTSqlSyS4iHbJtM7O91w0YYoyJxerY1Qer5lzNGJM5yqkuEJffTYpTU24MnAY+McZsNcbMMsZc1zPNGDMu85uF3W6/vpQy7u+9/85vT/zm3pvu2wfr1lm15Dxq6AG+AYwKHcW2U9tId6S7MUCllCo7RGSiiNQVkYbASOBHEbkPWAOMyDhtNPBlfmUVeUiUMaYDsBHoJiKbjDHvAgki8lJu15THIVEe8dJL8PrrcOIE3HhjnqcmpiUS4BtgrfmslFIqRwUZEpVxXi/guYwhUY25MiRqK3C/iKTmeX0xkvKNwMaMbwYYY3oAE0RkYG7XlMek/Pq61zmRcIJ/D/y3e24oAjffDHXqwOrVBb4sLT2NCt4VXBiYUkqVXgVNysVV5OqRiJwCjhljWmQcigB2OyWqMmTTiU2sP77efTfctctqvh4xIv9zM/x85GeC3w5m+6ntLgxMKaVUforbZvkEsMAYswMIB14vfkhli81uc+9aypGR1nPk4cMLfElIzRAS0xK1w5dSSnlYsZKyiGzL6IXWWkSGich5ZwVWVtjsNvdOHLJ0Kdx6K9SuXeBLagTU4M6Wd/LZjs+ylppUSinlftq7x8VS7anuS8q7d1vb3XcX+tKH2z7Medt5vtj7hQsCU0opVRCalF3spso30aBqA/fcbNkyq+n6zjsLfWlE4wgaVG2gTdhKKeVBukpUWdK6NVStao1RLoKv931NjYAadK3X1cmBKaVU6eau3te6nnJZsW8f7NwJ775b5CIGtxjsxICUUkoVljZfu9iQRUOYumGq628UmbEQSSF6Xedkz+k9TPhhgs7wpZRSHqBJ2cV+PvIzsRdiXX+jyEjo0gXq1i1WMTvjd/LmL2+y+nDBJx5RSinlHJqUXSw13Q29rw8cgG3bitTr+lpDWwylhn8N7fCllFIeoEnZhUQka+lGl8psur7rrmIX5efjx/2t7+eLvV9wNvlssctTSilVcJqUXSgtPQ3A9TXlyEjo1Anq13dKcQ+3fZi09DQ+2/GZU8pTSilVMJqUXcjusNOpTifqVinec948HToE0dFOabrOFFY7jIhGEVlfKpRSSrmHjlMu7aZMgeeft5Jzo0ZOK1ZEMHmsxayUUuVJiV8lSpUQkZHQoYNTEzKAMQYR4dcTvzq1XKWUUrnTpOxCsRdiCZ8RzsoDK11zgyNH4NdfC7VMY2Es3LmQW2bdwvpjblx6UimlyjFNyi6UkJrA9t+3k3TZRU32y5ZZry5KysNaDiPIP4gp66e4pHyllFJX06TsQpnLILqs93VkJLRtC02auKT4wAqBPNrhUb7c+yW/nf3NJfdQSil1hSZlF0q1pwIuSsrHjsGGDS6rJWd6vNPjVPCuwNvr33bpfZRSSmlSdqnMmrKftwsmD/n8c+vVxUm5dqXajG4zmpUHV+oQKaWUcjFNyi5Uxa8KfRr1oUZADecXvnSptVRj8+bOL/sab/R9g72P76WCdwWX30sppcozHadcGp04YS088eqr8NJLbrut3WHHIQ5NzkqpckfHKavcLV9uvTpxFq/8nEk+Q7P3mvHRlo/cdk+llCpvNCm70KKdi2g6vSmnEk85t+DPP4dWraBlS+eWm4cbAm7gpso38c7Gd7A77G67r1JKlSealF3obMpZDp4/iI+Xj/MKTUyEqCgYONB5ZRbQ+K7jib0Qy7Ldy9x+b6WUKg80KbuQS8Ypr1kDly/D7bc7r8wCGtJiCM1rNGfK+im4sy+CUkqVdMaYisaYX40x240xu4wxf8843sgYs8kYs98Ys8QYk2enHE3KLuSSpLxiBQQEQLduziuzgLyMF892eZbok9FEHY1y+/2VUqoESwX6iEgbIBy43RjTGXgTmCoizYDzwMN5FeLEdlV1LZvdhrfxdm7z9cqV0KcP+Llg7HMB/KnNnwiuFEy3+u7/UqCUUiWVWM2HiRm7vhmbAH2AURnH5wGTgA9zK0dryi7UokYL7rz5TucVeOAAHDwI/fs7r8xCquhTkcEtBuNl9J+OUkplZ4zxNsZsA+KB74GDwAURyewdexyok1cZ+pfVhf7Y5o8svXup8wpcmbHalAeTcqbX173O0yue9nQYSinlLj7GmC3ZtnHXniAi6SISDtQFOgE351BOnh1yNCmXJitXQuPG0LSppyPh98TfeX/z+xw8d9DToSillDvYRaRDtm1mbieKyAVgLdAZqGaMyXyGWReIy+smmpRd6M/f/JlbZt3inMLS0uDHH61asjHOKbMYJnSfQAXvCry0xn0ziimlVElljKlpjKmW8bM/0BfYA6wBMhcpGA18mVc5mpRd6GzKWS6lXnJOYb/8AklJHhkKlZPgysE83flpFv1vEdFx0Z4ORymlPC0YWGOM2QFsBr4XkW+AF4BnjDEHgBrA7LwK0aTsQja7zXnDoVauBB8f6N3bOeU5wfiu46nhX4MJqyd4OhSllPIoEdkhIm1FpLWIhIrIqxnHD4lIJxFpKiJ3i0hqXuXokCgXcmpSXrHCGptcubJzynOCqhWrMmvILOpVqefpUJRSqkzQpOxCTkvKJ0/C9u3wxhvFL8vJhrUc5ukQlFKqzNDmaxfq17gf/Zs4YfjSqlXWawkYCpWTxLREHvzyQRb/b7GnQ1FKqVJN11MuDUaNsnpex8WBV8n7HuUQBx1mduC87Tx7H9uLn49nZhtTSilXKTXrKWfMYLLVGPONMwJS10hPt2rK/fqVyIQM1pzYb/Z9k9gLsczYMsPT4SilVKnljL/yT2KNxVLXaDK9CY98/UjxComJgbNnS2zTdabbmtxG38Z9+cfP/+Ci7aKnw1FKqVKpWEnZGFMXGAjMck44ZUtiWmLx54heudKaLKRfP+cE5UKTIyZzNuUsb61/y9OhKKVUqVTc3tfTgOeBkjNOpwRxSu/rFSugXTuoWdM5QblQ+5vaM3PQTO5odoenQ1FKqVKpyNU4Y8wgIF5E8pzOyRgzLnMCb7vdntepZU6xk/LFi7BxY4lvus5ubPux1KmS5yIoSimlclGcttVuwBBjTCywGOhjjPns2pNEZGbmBN4+PuVnWLRDHKSlpxUvKa9ebXX0KiFTaxbUgXMH6PtpX/ae2evpUJRSqlQpclIWkYkiUldEGgIjgR9F5H6nRVbKOcTBE52e4Ja6xViQYsUKawavzp2dF5gbVPGrwqYTm3jxxxc9HYpSSpUqJXOMTRng4+XD9AHTub1pEWu5IlYnr759wdfXucG5WK3AWozvOp7P93xO1NEoT4ejlFKlhlOSsoisFZFBziirrHCIA5vdRpEnZ9m3D44eLVXPk7N7tsuz1K9an3FfjyPVnuf860oppTJoTdlFjl48iv9r/szdNrdoBaxYYb2W0qQcWCGQGQNnsOfMHv69+d+eDkcppUqF8tPzys1sdhtA0Tt6rVwJLVpAw4bOC8rNBjQbwKK7FjG0xVBPh6KUUqWC1pRdpFhJOSUF1q4ttbXk7EaGjsTf15/ky8k4xOHpcJRSqkTTpOwixUrK69aBzVbqhkLl5uSlk4R+EMpHWz7ydChKKVWiaVJ2kWIl5ZUrwc8PevZ0clSecWOlG2ka1JQXfniB4wnHPR2OUkqVWJqUXaRulbpM7D6RhtUaFv7iFSugRw8ICHB6XJ5gjGHGoBnYHXYe++9jRe+RrpRSZZwmZRdpGtSU1yNep1H1RoW78NQp2L27VCxAURiNqzfm1d6v8tW+r1i2Z5mnw1FKqRJJk7KLpFxO4UzyGdId6YW7cN0667WMNF1n91Tnp2gX3I4lu5Z4OhSllCqRNCm7yNLdS6k5pSZHLx4t3IVRUeDvD23buiYwD/Lx8uG7+75jyQhNykoplRNNyi6S2dHLz8evcBdGRVlzXZeyqTULqlZgLbyMF6cST7H91HZPh6OUUiWKJmUXKVLv64QE2LbN6uRVhokIgxcN5u6ld5NyOcXT4SilVImhSdlFipSUN24EhwO6d3dRVCWDMYbJEZPZf24/L615ydPhKKVUiaFJ2UWymq+9C9F8HRUFXl6lbqnGoohoHMGf2/+Ztze8zTe/fePpcJRSqliMMfWMMWuMMXuMMbuMMU9mHA8yxnxvjNmf8Vo9r3I0KbtIn0Z9eL3P63h7eRf8onXrrA5elSu7LrASZOrtUwm/MZw/Lf8TRy4c8XQ4SilVHHbgWRG5GegMPGaMaQVMAFaLSDNgdcZ+rjQpu0j3+t2Z2GNiwS9IS4NNm8p803V2FX0qsvTupQxpMYRqFat5OhyllCoyETkpIjEZP18C9gB1gKHAvIzT5gHD8ipHV4lykfikeFLtqdSrWq9gF2zdai1EUcY7eV2raVBT5g6bC0C6I71wLQtKKeU+PsaYLdn2Z4rIzJxONMY0BNoCm4DaInISrMRtjKmV1020puwiE3+YSNc5XQt+QeakId26uSagEu7kpZN0/LgjX+z9wtOhKKVUTuwi0iHblltCrgQsA54SkYTC3kSTsovY0m2F63kdFQVNm8KNN7ouqBIsyD8IHy8fHvjiAQ6dP+TpcJRSqtCMMb5YCXmBiHyecfh3Y0xwxvvBQHxeZWhSdhGbvRBJ2eGwknI5a7rOzs/HjyUjlmCM4Z6l95BqT/V0SEopVWDGGAPMBvaIyDvZ3voKGJ3x82jgy7zK0aTsIja7reDDofbtg7Nny1Unr5w0qt6IuUPnEn0ymudWPefpcJRSqjC6AX8E+hhjtmVsdwCTgduMMfuB2zL2c6UdvVwk1Z5a8JpyVJT1Ws6TMsDQlkN5pvMzfH/oe5LSkgisEOjpkJRSKl8iEgWYXN6OKGg5WlN2kSc6PcEzXZ4p2Mnr1kGtWtCsmWuDKiUm953MxjEbS2VCrlSp0lX7c+fO5fHHH3f5fWNjYwkNDS3UNdfGmmnSpEm89dZbzggrR127FqIDZCEtX74cYwx79+696vhHH33Eo48+etWxkJCQ685TytM0KbvI0JZDGX7z8IKdHBVl1ZJNbl+yyhdfb18CfAO4lHqJiT9MJCG10B0YVQm2fv16l5W9aNEiOnTowOLFi686vmPHDtpmW3nNZrNx9OhRmukXYVXCaFJ2kV3xuwq2bOOJE3D4cLnu5JWb6JPRTFk/heFLhpOWnubpcIrtnXfeITQ0lNDQUKZNmwZcX8N96623mDRpEklJSQwcOJA2bdoQGhrKkiVXlrv87LPP6NSpE+Hh4TzyyCOkp1trdqenpzN27FhCQkLo168fKSkpud73Wq+99hotWrSgb9++7Nu3L8dzcotp2LBhtG/fnpCQEGbOtEaJvPDCC3zwwQdZ106aNIm3334buFJDj42N5eabb84x5n/84x+0bNmS2267jXvvvbdANffExER++uknZs+ezaJFi656b+fOnbRr1+6q/ebNm+PtrePiVQkjIm7bAgICpLxo8m4TGbVsVP4nLl4sAiKbN7s+qFLok62fCJOQ+5bdJ+mOdE+Hky8vLy9p06ZN1lavXj157LHHZMuWLRIaGiqJiYly6dIladWqlcTExMjhw4clJCQk6/opU6bIK6+8IpGRkTJmzJis4xcuXBARkd27d8ugQYMkLS1NRET+7//+T+bNmyeHDx8Wb29v2bp1q4iI3H333TJ//vxc7ysiEhgYKCKSdU5SUpJcvHhRmjRpIlOmTLnud8stprNnz4qISHJysoSEhMiZM2ckJiZGbr311qxzb775Zjly5MhV980t5s2bN0ubNm0kOTlZEhISpGnTpjnGc6358+fLqFHW/3Nt27aV6OjorPeCgoKkfv360qBBA2nQoIHUqFFDRo8enW+ZSmUCksQNeVJryi5is9uo6F2Ajl5RURAYCOHhrg+qFHog/AFe6/MaC3YuYMIPeU4ZWyL4+/uzbdu2rO3VV18FICoqijvvvJPAwEAqVarE8OHDWZc5YUwOwsLC+OGHH3jhhRdYt24dVatWBWD16tVER0fTsWNHwsPDWb16NYcOWeO6GzVqRHjGv6P27dsTGxtboPuuW7eOO++8k4CAAKpUqcKQIUMKFdP06dNp06YNnTt35tixY+zfv5+2bdsSHx9PXFwc27dvp3r16tSvX/+6MnOLeejQofj7+1O5cmUGDx5coM9+0aJF3HPPPQDcc889WbXlY8eOUbNmTY4cOUJsbCyxsbGMHDmS1q1bAzBmzJgCla+UO2hSdpECj1Netw66dAEf7Qifm4ndJ/Joh0eZu20u8Ul5jrsvsawv2tfz8fHB4XBk7dts1upizZs3Jzo6mrCwMCZOnJiV3EWE0aNHZyX9ffv2MWnSJAD8/K4MwfP29sZut+d632uZAvRnyCmmtWvX8sMPP7Bhwwa2b99O27Zts36HESNGEBkZyZIlSxg5cmSOZRYn5uzOnj3Lr7/+yu233w7AH/7wB5YsWYKIsGPHDkJCQq46f/fu3YSFhZGcnMyBAwd48cUXufPOOwt9X6WcTZOyi6SmF2BI1MWLsGOHDoXKhzGG6QOmE/NIDLUC85w2tsS69dZb+eKLL0hOTiYpKYnly5fTo0cPateuTXx8PGfPniU1NZVvvrGWsYyLiyMgIID777+f5557jpiYGAAiIiKIjIwkPt76cnLu3DmOHMl9ha3c7nvtOcuXLyclJYVLly7x9ddf51hWTjFdvHiR6tWrExAQwN69e9m4cWPW+SNHjmTx4sVERkYyYsSIAn9W3bt35+uvv8Zms5GYmMi3336b9V5ERAQnTpy47prIyEjuuOOOrCTfqFEjbrzxRqKioti5cyetWrW66vxdu3bRunVrYmJiGDBgAK+99hqBgaWvt78qe7R65iIFqilv2AAimpQLwNvLm7pV6iIivLL2FSIaRdCzYU9Ph1Vg7dq144EHHqBTp06A1WSa2Rv45Zdf5pZbbqFRo0a0bNkSsDoijR8/Hi8vL3x9ffnwww8BaNWqFf/85z/p168fDocDX19f/v3vf3NjLtOz5nXf7Of84Q9/IDw8nAYNGlyXtDPlFFNYWBgzZsygdevWtGjRgs7Z1gIPCQnh0qVL1KlTh+Dg4AJ/Vh07dmTIkCG0adOGBg0a0KFDB6pWrYrD4eDAgQMEBQVdd82iRYvYsWMHDRs2zDp29uxZFi5cSEJCAoMGDco6fu7cOUSE2rVrs3Dhwqzmce30pUoCU5SmoqIKDAyUpKQkt93PU0SEhTsX0qpmK9oGt839xBdfhDfftGrM+i29QC6lXuKWWbcQdymOdQ+uI6x2mKdDUi6QmJhIpUqVSE5O5tZbb2XmzJlUqFCBOXPm8M477+RfQAGNHTuWGTNmcP78eSZPnuzS8dmqdDPGJIuIy/9Qa1L2pJ49reUaf/3V05GUKkcvHqXL7C4YDBse3lDw5TFVqTFq1Ch2796NzWZj9OjRTJxYiLXJlXIBTcqlWFp6GhuObaDFDS24sVIuqz6lpkK1avDoo5AxflMV3I7fd9Djkx7UrVKXnx74iRsCbvB0SEqpMsxdSVk7ernA6aTT9JrXi6/2fZX7SdHRYLPp8+Qial27NV/84QuOXjxKzMkYT4ejlFJOoR29XCA13Vp2MM+OXpmLUHTr5oaIyqbejXoT+2QsNQJqAIVcLlMppUogrSm7gM1ujdPMc+nGqCho0cJaiEIVWWZC/nLvl7R8vyV7z+gCA0qp0qvISdkYU88Ys8YYs8cYs8sY86QzAyvNMpNyrrU2h+PKIhTKKRpVb0SKPYVbP7mV7ae2eySGlJQUevbsmTUXdU569erFli1b3BhVzuLi4go1drg0Wbt2bZEXvchtta2dO3fywAMPFDMypfJXnJqyHXhWRG4GOgOPGWNa5XNNuZBvUt6zB86f16TsRK1rt2bdg+uo6FORXvN6sfH4xvwvcrI5c+YwfPjwUjHe9aabbiIyMtLTYbhEcZJybsLCwjh+/DhHjxZgkRmliqHISVlETopITMbPl4A9QB1nBVaatbyhJV+O/DL3McqZcw/rylBO1bxGc9Y9uI4a/jXo+2lfDp0/rLyUaAAAIABJREFU5Nb7L1iwgKFDh2bt/+tf/yIsLIw2bdowYcKVebuXLl1Kp06daN68edY81LGxsfTo0YN27drRrl27rKSydu1aevXqxYgRI2jZsiX33Xdf1jSU//3vf2nZsiXdu3fnL3/5S9YEGUlJSTz00EN07NiRtm3b8uWXX14Xa/Ya4dy5cxk+fDi33347zZo14/nnn8/x92vYsCF//etf6dKlCx06dCAmJob+/fvTpEkTZsyYAVhj9MePH09oaChhYWFZK0nl9XtER0fTs2dP2rdvT//+/Tl58iQHDx68alWn/fv30759++timj59Oq1ataJ169aMHDmS2NhYZsyYwdSpUwkPD2fdunUcOXKEiIgIWrduTURERFZi/f3337nzzjtp06YNbdq0uS6RHzp0iLZt27J582YABg8efN2SkEo5nTNWtQAaAkeBKnmdV55WicrTffeJ3HijiMPh6UjKpLiEOHnrl7fE4cbPNzU1VWrXrp21/9///le6dOkiSUlJInJlJaWePXvKM888IyIi3377rURERIiISFJSkqSkpIiIyG+//Sbt27cXEZE1a9ZIlSpV5NixY5Keni6dO3eWdevWSUpKitStW1cOHTokIiIjR46UgQMHiojIxIkTZf78+SIicv78eWnWrJkkJiZeFW/21ak++eQTadSokVy4cEFSUlKkfv36cvTo0et+xwYNGsgHH3wgIiJPPfWUhIWFSUJCgsTHx0vNmjVFxFpJqm/fvmK32+XUqVNSr149iYuLy/X3SEtLky5dukh8fLyIiCxevFgefPBBERHp1atX1gpSEydOlOnTp18XU3BwsNhstqzfVUTklVdeuWpVqUGDBsncuXNFRGT27NkydOhQERG55557ZOrUqSIiYrfb5cKFC1mfy969eyU8PDzr/iIiUVFRMmjQoOtiUOUDpWWVKGNMJWAZ8JSIXLcavTFmnDFmizFmi91uL+7tSoW4S3F8+9u3XEq9lPMJUVFWLbkAiwCowguuHMyzXZ/FGMOu+F0s2LHA5fc8c+YM1apVy9r/4YcfePDBBwkICAC4amrI4cOHA1dWRQK4fPkyY8eOJSwsjLvvvpvdu3dnnd+pUyfq1q2Ll5cX4eHhxMbGsnfvXho3bkyjRo0AuPfee7POX7VqFZMnTyY8PJxevXphs9nybXaNiIigatWqVKxYkVatWuU6n3bmClJhYWH/396dR0dR5Qsc//7S2UMgCxDZww4iIZgoPPGJEAkoKqLMIIKoR5/IME9hxjcuM76ZcRmV8QmI46gwCAIqHBQXGFdkEUQlbAIie9iiISwJhJClO/f9UZU2e0LSSXfD73NOne66tf36hubXVXXrXvr160dkZCQtWrQgNDSU7Oxs1q5dy5gxY3A4HMTFxTFw4ED3mWZln2PXrl1s376dIUOGkJiYyNNPP82RI0cAq0vQN954A5fLxaJFi7jjjjsqxJOQkMDYsWNZsGABgVUM6rJ+/Xr3tnfeeSdr7ScfvvzySyZOnAhYXWyWjHqVlZXFiBEjWLBggXsEK4CWLVuSkZFRbT0qVV/1SsoiEoSVkBcaY96rbB1jzOvGmGRjTHJVX5oLzer01dz49o0cPVOx43wOH4aDB/V+ciP529q/MW7pOKZ8MgVnccP9KAwLC3OPjgTWFaiqRl4qGTShZFQkgGnTphEXF8fWrVtJS0ujsLCwwvqltzHVdPpjjOHdd991jyR16NAhevbsWW38lR2juvUCAgLKbBMQEFBjXFV9jl69erlj3bZtG5999hkAt912Gx9//DHLli0jKSmJ2NjYCvtcvnw5kyZNYuPGjSQlJVUZd2k1jYjVrFkz2rVrx7p168qU5+fnExYWVuP+laqP+rS+FuBfwE5jjOc6o70AVNvQq+S+lT6f3CjmjpjLQ/0eYvq300mdn0rW2awGOU50dDQul8udmFNTU5kzZw55eXmANQhCdXJycmjVqhUBAQHMnz+/2hbcAD169GD//v3uM+2Se7cAQ4cOZebMme4EuXnz5rp+rPN2zTXXsGjRIlwuF1lZWaxZs8Y9GEZlunfvTlZWFuvXrwesKwY7duwAIDQ0lKFDhzJx4kTuueeeCtsWFxdz+PBhBg0axNSpU8nOziY3N5fIyEjOnPnlKtVVV13lvhe8cOFCrrZ/EKekpLgH+nC5XJw+bV3oCw4O5v333+fNN9/krbfecu9n9+7dlbbMVsqT6nOmPAC4ExgsIlvs6QYPxeXXqu08JC0NQkLAHmBdNawgRxDTh01n3i3z+Prw1yTPSubAqQMNcqzU1FT3pdFhw4Zx8803k5ycTGJiYo0DHfzmN79h3rx59O/fn927d9c4jGBYWBivvPIKw4YN4+qrryYuLs59+fWJJ56gqKiIhIQELrvsMp544gnPfMBaGDlyJAkJCfTp04fBgwczderUKkewAisBLlmyhEceeYQ+ffqQmJhYpsHV2LFjERFSU1MrbOtyuRg3bhy9e/emb9++TJkyhaioKG666SaWLl3qbuj10ksv8cYbb5CQkMD8+fOZMWMGADNmzGDlypX07t2bpKQk948BgIiICJYtW8a0adPcDeVWrlzJ8OHDPVVVSlVK+75uANO/mc6UT6dw6pFTRIVGlV04aBCcPauDUHhBWkYa076ZxtwRcwlyBHl8/5s3b+bFF19k/vz5Ht93ZUpGUjLGMGnSJLp27cqUKVMa5diN5YUXXiAnJ4ennnrKq3EUFBQwcOBA1q5dW+W9a3Vh076v/ViVPXoVF8OmTVDJox2q4SW3TmbhrQsJcgSRdTaLJ1c/6dH7zH379mXQoEE1Xnr2lFmzZpGYmEivXr3IyclhwoQJjXLcxjJy5EjefPNNHnrI+/0SHTp0iOeee04TsmpweqbcAA7lHGLPiT0M6jiIACn1u2fPHujWDWbNgvvu816AilfTXmXi8okM7jiYRaMW6ShTSqlq6ZmyH2vfrD0pnVLKJmSwRoYCPVP2AQ8kP8DcEXNZd2gdia8m8tm+z7wdklLKj4nIHBE5JiLbS5XFiMjnIrLHfo2uaT+alBvAhqMbWLpzacUFGzdCcDD06tX4QakK7kq8i6/v/ZqmIU0ZumAo/9r0L2+HpJTyX3OBYeXKHgVWGGO6Aivs+WppUm4AczbP4YHlD1RcsHGj1eo6OLjxg1KVurzV5WyasIknrnmCET2sLjILXYU1bKWUUmUZY9YA5Z99HAHMs9/PA26paT+alBtAviu/YiMvY6xGXsnJ3glKVSk0MJQnBz1J8/DmOIudDJw7kCmfTOFc0Tlvh6aU8h2BJb1T2tP9tdgmzhjzE1jjRQA1jtWrSbkB5DvzKz6jvG8f5OTo/WQf5yx2ktwqmenfTifxtUSvjDallPJJzpLeKe3p9YY4iCblBlBpUtZGXn4hNDCUmTfM5Is7vyDfmc+AOQN47IvH3I+5KaXUecgUkVYA9uuxmjbQpNwACpwFlSdlbeTlN1I6pbBt4jbuSbyH9358r2JLeqWUqtmHwF32+7uAiuOolqPPKTeAvSf3UuAsoFfLUgk4JQVOnwZ7xBzlP04XnKZpSFNyC3MZv3Q8j139GFe0ucLbYSmlGlFNzymLyNvAtUBzIBP4M/A+sBhojzW88a+MMdV2hK9JuTEYAzExMHo02IPBK/+zMWMjw98aTubZTMb3Gc+zKc/SOrK1t8NSSjUC7TzEjy3esZjP933+S8H+/ZCdrfeT/VxS6yT2/PceHh3wKO9sf4duM7vxzJpnGnRISKXUxUWTcgP4y6q/8PqmUg3z0tKsV03Kfi8yJJJnr3uWnZN2MrTLUL5M/xKHOACqHUtYKaVqQ5NyA6jQ+rqkkZeOxXrB6BTdiXd//S7LxixDRDhy+gg9/tGDV9NepcBZ4O3wlFJ+SpNyAyhwFRDqKJeUe/fWnrwuQGFBYQCcPHeS6NBoJi6fSKeXOjH9m+nkFeV5OTqllL/RpNwA8p35hATaPXqV9OSll64vaAlxCay/dz1f3PkFXWO6MuXTKXR5qQtnCy/Cho1KqTrTwUEbQJnL19rI66IhIqR0SiGlUwpfHfyKDRkbiAi2GmvO2zKPwR0H065ZOy9HqZTyZfpIVAPYd3IfkSGRtIxoCYsXW49CpaVpYr5IpWen0/mlzgDc2O1GJiZPJLVzqnZIopQf0Uei/FjnmM5WQgbrfnJQkDbyuojFR8Wz78F9PDLgEb458g3XL7yerjO7sjFjo7dDU0r5GE3KHlbgLGDquqls+mmTVVDSyCskpPoN1QUtPiqev6X8jcNTDvP2bW/TOboznaI7AbAqfRVfHfxKH6lSSunla087nnecFn9vwczrZ/LbKyZBbCyMGgWvN8iAIuoCMHjeYFamr6RDsw7cftntjLlsDAlxCYiIt0NTStn08rWfKhlNKMQRAgcOwKlTei9ZVevDMR8y75Z59GzRkxe+foHE1xK5+4O7vR2WUsoLtPW1h5Uk5dDA0F+Ga0xO9mJEytc1CW7C+D7jGd9nPMfzjrPkhyXuPrVP5J1g+FvDGXXpKEb2GEnnmM5ejlYp1ZD0TNnDSnpzcidlbeSlzkPz8OY8kPwAN3e/GYCMMxm4jIv/+fx/6DKzCz1e7sHvP/09h3MOezlSpVRD0KTsYRXOlLWRl6qH3nG92fBfG9j34D5mDJtBh6gOvLzhZfcgGKvTVzN3y1wyczO9HKlSyhO0oZeHOYudnMg7QdPgSMIuaauNvJTH5RXlER4UDsD9H93PrE2zAOh7SV8GdhjIoI6D3GfaSinPaKyGXpqUG8r+/dC5szV+8oQJ3o5GXaCMMWzN3Mqy3cv48sCXrD+yni4xXdg2cRsAr6W9RsuIllzT4Rpiw2O9HK1S/kuTsp/ambWTt7e/zeTDbYi56wHYsEEbeqlGU+As4OiZo3SK7oQxhjYvtuGn3J8A6NWiF/3a9OPWnrcyvNtwL0eqlH9prKSsra897IesH3hqzVP89vg9ViOv3r29HZK6iIQEhrg7JRER0iens+HoBlYfXM1Xh77ig10fcEmTSxjebThnC8+SuiCV5FbJXNnmSq5ocwVdYrpo959KeZEmZQ8rcFmtryO27bJaXWsjL+VFwY5gBrQfwID2AwDrcnehqxCArLwsHOJg9ubZvPTdSwCEB4Uz5+Y5jL5sNCfPnWTrz1tJiEvQS99KNRJNyh6W78wHA6Fbd8CoX3k7HKXKEBH3sKLxUfGsuWcNzmInP2T9wIajG/g+83t6NO8BWN1/3rb4NgBaNWlFQlwCl7a4lMn9J9O+WXuKXEUEBgRqz2NKeZAmZQ/Ld+YTnw2O7BztyUv5hcCAQBLiEkiISyhTPrjjYD4d9ynbMrfx/bHv2Za5jTUH1zAxeSIA/0z7J4+veJxusd3o3rw73WK60TW2K7f1vI2woDBvfBSl/J4mZQ/Ld+aTlGHPaFJWfiwqNIrUzqmkdk51lxWbYgTrzDjxkkTuu/w+dp3YxXdHv2PxjsUUm2Ju7XkrAI+veJwlPyyhY3RH4pvFEx8VT8fojozuNRoRwRijZ9lKlaOtrz3MVezC9egfCJr2EnLmDISGejskpRpFgbOAgzkH6RbbDYAF3y/go90fceDUAdKz08nKyyI2LJbjfzgOwOglo1mVvoo2kW1o07QNbSPb0rNFTx7s9yAAe0/uJdgRTFxEnPuSu1Leoo9E+bPUVMjKgs2bvR2JUj7jbOFZfs792d1/99wtc1l/eD1HzxzlyOkjHD1zlLZN27J5gvW96T+7P98e/RawztrjIuIY2GEgr930GgCvbHiFIlcRzcObExseS/Pw5rSObO3uN1wpT9Kk7Kfe37mUIf3uIOLXY2H2bG+Ho5RfcRY7CQyw7qqt2L+C/af2k3k2k8zcTH4++zOdojrx/JDnAYifHs/BnINltr+lxy0sHb0UgJ7/6Imz2El0aDRRoVFEh0WT2imVey+/F4BX014lIiiCpiFN3VObpm24pMkl7rGt9fK6KuEXzymLyDBgBuAAZhtjnvNIVH5s67cfcsuZfL2frFQdlCRkgJROKaSQUuW6+x7cR3Z+NifOneB43nGO5x0nJizGvTy1UypZeVmcyj/FqXOnOJRziE5R1jPczmInE5dPrLDP3/X/Hf839P/ILcwl6vkomgQ3oUlwEyKCImgS3IRJV0zi3svv5dS5U0z+dDLhgeFEBEcQHhROeFA4QzoNIal1EqcLTrNi/wpCA0MJCwqzXgPDaN+sPdFh0TiLneQV5RHiCCHYEazJ/wLhiZxY56QsIg7gH8AQ4AiwQUQ+NMb8UNd9Xgjidh2x3mhSVqpBOQIcxIbHEhse676PXdqM62dUva04yHw4k9MFp8tM8VHxAARIAI9d/Ri5hbmcLTxLblEuuYW5RARbJ0q5hbmsTl9NXlGeezIYIoMjSWqdRHp2OrcuvrXCcd8Y8QZ3J97Nd0e/Y8CcAe7yEEcIIYEhLBi5gJu638S6Q+uYsGwCwY5g9xQSGMJzKc+R1DqJb498y8sbXiYoIMiaHNbrQ/0fIj4qni0/b2H57uUEOYIIDAgkKMB6HX3ZaGLCYth1fBdbft5CYEAggQGBOAIcBAYEMrDDQMKCwjicc5gjp4/gCHDgEIf79dIWl+IIcHDy3ElOF5wus8wR4CA2LBYRocBZgMu4cIiDAAlwTxfyjw9P5cT6nClfCew1xuy3A3oHGAE0TFLOyODIn6ew9+S+Cov6t+1HaGAoB7MPciA7vcLyAe2vIiggiH2n9lc65N01Hf6TAAlg94k9ZJzJKLMsQIRrOlwDwM7jO8nMPVZmebAjiKvaXQXA9mPbuWL9OooCICih7OMlSinfISK0jGhJy4iWlS6PCI7g6cFPV7l9u2btSJ+c7p43xlDgKnC3TO8a05XNEzaT78znXNE569V5jqRW1o/19s3a88KQFyhwFZDvzKfAWUCBq4AOUR0ACAsKo3vz7hS5iih0FVLoKuRc0TkM1mX143nHWXdoHUXFRRS5ityvYxPGEh8VT1pGGn9a+acKcV8bfy0xYTF8vPdjpnw6pcLyQ5MP0a5ZO+Zumcv/rvrfCstPPXKKqNAonlv7HH//+u8VljufcOIQB5M/mcyrG18tsyw0MJRzfzwHwD0f3MM7298pk7BbRrRkz3/vAeDu9+/mk72flFle8lw9wPil41l/ZL2V6BECJICeLXry7q/fBWDce+PYkbXDvVxE6HtJX16/yRoc6I537+BgzkH3MkHo37Y/U4dMBeD2JbeTlZdVZnkteCQn1vmesoiMAoYZY+6z5+8E+hljfltuvfuB++3Zy4FzdTrgLwIBZz33oSxal56jdek5Wpeeo3XpOeHAxlLzrxtj3EMA1jYn1qQ+Z8qV/XSokOHtoD02dqGIpBljdIQHD9C69BytS8/RuvQcrUvPqUVd1ion1qQ+Pc8fAdqVmm8LZFSxrlJKKXUh80hOrE9S3gB0FZGOIhIM3A58WI/9KaWUUv7KIzmxzpevjTFOEfkt8ClW8+85xpgddd3fefDYpXCldelBWpeeo3XpOVqXnlNtXXoqJzZq5yFKKaWUqpqOZq6UUkr5CE3KSimllI/wm6QsIsNEZJeI7BWRR70djz8RkTkickxEtpcqixGRz0Vkj/0a7c0Y/YWItBORlSKyU0R2iMhDdrnW53kSkVAR+U5Ettp1+Ve7vKOIfGvX5SK70YyqBRFxiMhmEVlmz2td1oGIpIvINhHZIiJpdlmjfMf9IimX6r7seuBSYIyIXOrdqPzKXGBYubJHgRXGmK7ACnte1cwJ/N4Y0xPoD0yy/y1qfZ6/AmCwMaYPkAgME5H+wPPANLsuTwH3ejFGf/MQsLPUvNZl3Q0yxiSWeja5Ub7jfpGUKdV9mTGmECjpvkzVgjFmDXCyXPEIYJ79fh5wS6MG5aeMMT8ZYzbZ789g/QfYBq3P82YsufZskD0ZYDCwxC7XuqwlEWkLDAdm2/OC1qUnNcp33F+SchugdKfVR+wyVXdxxpifwEo0QOWdAKsqiUg80Bf4Fq3POrEvt24BjgGfA/uAbGNMSdeQ+l2vvenAH4Biez4Wrcu6MsBnIrLR7ioaGuk7Xq+hGxuRR7ovU8pTRKQJ8C4w2Rhz+kIe/aYhGWNcQKKIRAFLgZ6Vrda4UfkfEbkROGaM2Sgi15YUV7Kq1mXtDDDGZIhIS+BzEfmxsQ7sL2fK2qWn52WKSCsA+/VYDesrm4gEYSXkhcaY9+xirc96MMZkA6uw7tNHiUjJCYN+12tnAHCziKRj3d4bjHXmrHVZB8aYDPv1GNaPxStppO+4vyRl7dLT8z4E7rLf3wV84MVY/IZ9n+5fwE5jzIulFml9nicRaWGfISMiYcB1WPfoVwKj7NW0LmvBGPOYMaatMSYe6//HL40xY9G6PG8iEiEikSXvgVRgO430HfebHr1E5AasX34l3Zc94+WQ/IaIvA1cCzQHMoE/A+8Di4H2wCHgV8aY8o3BVDkicjXwFbCNX+7dPY51X1nr8zyISAJWgxkH1gnCYmPMkyLSCetsLwbYDIwzxhR4L1L/Yl++ftgYc6PW5fmz62ypPRsIvGWMeUZEYmmE77jfJGWllFLqQucvl6+VUkqpC54mZaWUUspHaFJWSimlfIQmZaWUUspHaFJWSimlfIQmZaWUUspHaFJWSimlfIQmZaWUUspHaFJWSimlfIQmZaWUUspHaFJWSimlfIQmZaWUUspHaFJWSimlfIQmZaWUUspHaFJWSimlfIQmZaWUUspHaFJWSimlfIQmZaWUUspHaFJWSimlfIQmZaWUUspHaFJWSimlfIQmZaWUUspHaFJWSimlfIQmZaWUUspHaFJWSimlfIQmZaWUUspHaFJWSimlfIQmZaWUUspHaFJWSimlfIQmZaWUUspHaFJWSimlfIQmZaWUUspHaFJWSimlfIQmZeU1IuISkS2lpngR+boe+wsVke9EZKuI7BCRv9ZhH3+0t/3ejqmfXZ5bah0jIvNLzQeKSJaILKtr7OcR319E5OFarJdbbj5eRLY3XGQV6qjOf8cajjFBRF4pV7ZDRHo0xPHKHafKuheRkfa/ix7lyr0Wr/JPgd4OQF3UzhljEsuVXVWP/RUAg40xuSISBKwVkY+NMd/UZmMR+Q/gRuByY0yBiDQHgitZ9SxwmYiEGWPOAUOAo/WI+4JjjKnP37E6CcDmkhkRCQXaA3sa6Hi1NQZIA24H/lKq3FfjVT5Kz5SVTyl3tvWEiPwoIp+LyNs1nSEaS8n2QfZkzuPwrYDjxpgCe3/HjTEZVaz7MTDcfj8GeLuylewz1B9FZLaIbBeRhSJynYisE5E9InJlqXV/Z6+zXUQmlyr/o4jsEpEvgO6lysfZVwa2iMhrIuKo4fMFisg8+yrAEhEJL7Wv90Vko30Wd79dFiEiy+0rD9tFZHRtj1vyd7Q//04RmWXv+zMRCatj/AC9gU3l5ncbY1w1bVjFZ6wyPnt5pXVfbr9NgIHAvVj/FjwSr7pIGWN00skrE+ACttjTUrss135NtsvDgEisM4uHa7FPh71dLvD8ecbTxN52N/AKMLDUstzS77HOgJYAofY21wLLKtlnPODE+s84ANgIzAEEGAG8b6+XBGwDIuw4dgB9S5WHA02BvcDDQE/gIyDI3v4VYHxl8ZaKwwAD7Pk5pesTiLFfw4DtQCxwGzCr1DrNqjtu+Toq9/kT7fnFwLga9vNvoHUVf6MTwEEg3Z6OA3Nr+fet7DNWGl+5v0mZuq9kv+OAhfb7TVhXWuodr04X56SXr5U3VXb5usTVwAfGujyMiHxUmx0a6wwkUUSigKUicpkxplb3Uo112TsJ+E9gELBIRB41xsytZN3vRSQe68zo3zXs+oAxZpv9OXYAK4wxRkS2YSUFsD7vUmPMWXu99+w4AuzyPLv8Q3v9FKyksUFEwEo0x2qI47AxZp39fgHwIPCCPf+giIy037cDumIlpBdE5HmsHxxficiddTjuAWPMFvv9RvszR1W1H2PMDZXtRETaAVnGmB6lyl4G9tvvZxtj7qsmjso+489VxAdW/VdW9+WNAV633y+25zfVFG8tY1YXGU3KyldJfTY2xmSLyCpgGNZZkbVTkUnAf9mzN5hyl6ftpL4KWGUnzbuAuVUc5kOspHYt1llXVQpKvS8uNV/ML9/B6j5vZZfgBZhnjHmsmu1q2o8BEJFrgeuA/zDG5Nn1FmqM2W3/SLkBeFZEPgNO1eG4pT+/CysB1yX+BKwrCKVdCnxgX4rvIiLPAJcaY0aWXqmqz1hNfCWqvf0hIrHAlcCtdtEiYLWI/KG6eO1tq41ZXZz0nrLyVWuBm8RqUd2EX+7fVklEWthnyNj3Ba8Dfiy9jjHmH8aYRHvKKLd9dxHpWqooEevSY1XmAE+WnAXX0xrgFhEJF5EIYCTwlV0+UkTCRCQSuMlefwUwSkRa2rHHiEiHGo7RXqzGbGCdza213zcDTtnJqgfQ395nayDPGLMA68fH5XU8bmXqsp/ewA/lynoB39uxfWyM+SNWQ7zyKv2MNaiq7ksbBfzb/NIO4QDW2ffVNcRLLWJWFyE9U1Y+yRizwb5cuBUrMaYBOQAi8m/gvvJJFauh1jy7wVAAsNgYcz6PKTUBZtqJ3Yl1D/H+amI8Asw4j/1XyRizSUTmAt/ZRbONMZsBRGQR1n3rg1iJGmPMDyLyJ+AzEQkAioBJVP8jYidwl4i8hnWP/p92+SfAAyLyPbALKGmt3hv4u4gU2/ufWMfjVvZ5q9xPNX/f3oD77ykiMYAYYzJF5A6se9Rgne2WV9VnrC7GTZXVfTljgAQRSS9VFgvcgXUfutJ47aIraohZXYTEmPNpnKpU4xGRJvZ93nCss5b7jTGbatpOXXxEZBbwABANPGqMqfFZbm/zx5hVw9OkrHyWiLyFdQ8uFOv+47NeDkkppRqUJmWllFLKR2hDL6WUUspHaFJWSimlfIQmZaWUUspHaFJWSimlfISq/gQAAAAAJElEQVQmZaWUUspHaFJWSimlfIQmZaWUUspHaFJWSimlfMT/AxHAgjoTtvLgAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Plot wealth and saving (Figure 3.3 in Godley and Lavoie 2007)\n",
    "#Note: different plot options\n",
    "fig=plt.figure()\n",
    "axes = fig.add_axes([0.1, 0.1, 1.0, 1.0])\n",
    "axes.tick_params(top='off')\n",
    "axes.set_ylim(0, 13)\n",
    "axes.set_xlim(-2, 50)\n",
    "axes.plot(sav[0,], linestyle='--', color='g')\n",
    "axes2 = axes.twinx()\n",
    "axes2.set_ylim(0, 85)\n",
    "axes2.set_xlim(-2, 50)\n",
    "axes2.plot(h_h[0,], 'r')\n",
    "plt.text(20, 16, 'Household saving, $\\Delta H_h$')\n",
    "plt.text(20, 12, '(change in money stock)')\n",
    "plt.text(20, 70, 'Wealth level, $H_h$')\n",
    "plt.text(20, 66, '(money stock)')\n",
    "fig.text(0.4,-0.1,'Fig. 3 - SIM model baseline: $H_h$ and $\\Delta H_h$')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Plot consumption, disposable income and wealth (cash) following shock\n",
    "#to propensity to consume (Figure 3.8 in Godley and Lavoie 2007)\n",
    "plt.plot(cons[1,],lw=1)\n",
    "plt.title('Fig. 4 - SIM model: higher propensity to consume')\n",
    "plt.plot(yd[1,],'--',lw=1)\n",
    "plt.plot(h_h[1,],lw=1)\n",
    "plt.legend(('$C$','$YD$','$H_h$'), loc='upper right')\n",
    "plt.axis([68, 100, 58, 100])\n",
    "ceiling = np.linspace(80, 80, nperiods)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "#Create interactive plot of Figure 4 (1/2)\n",
    "def f(j):\n",
    "    plt.figure()\n",
    "    time = np.linspace(0, nperiods, nperiods)\n",
    "    plt.plot(time,cons[j,],lw=1)\n",
    "    plt.plot(time,yd[j,],'--',lw=1)\n",
    "    plt.plot(time,h_h[j,],lw=1)\n",
    "    plt.ylim(0, 110)\n",
    "    plt.text(71, 190, 'Select shock to propensity to consume')\n",
    "    plt.text(68, -20, 'Note: 0 = 60%, 1 = 70%; 2 = 75%, 3 = 80%; 4 = 85%; 5 = 90%')\n",
    "    plt.legend(('$C$','$YD$','$H_h$'), loc='upper right')\n",
    "    plt.axis([68, 100, 10, 170])\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "65b0728e0d5b4c599de7082bf638ee82",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "interactive(children=(IntSlider(value=2, description='j', max=5), Output(layout=Layout(height='350px'))), _dom…"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "#Create interactive plot of Figure 4 (2/2)\n",
    "interactive_plot = interactive(f, j=(0,5,1))\n",
    "output = interactive_plot.children[-1]\n",
    "output.layout.height = '350px'\n",
    "interactive_plot"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.7.6"
  },
  "widgets": {
   "application/vnd.jupyter.widget-state+json": {
    "state": {
     "0007dad824f44f33822e0faa1f87882f": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "01b8f52717d14aa9af563333dddefd15": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "IntSliderModel",
      "state": {
       "description": "j",
       "layout": "IPY_MODEL_faeae970184441d2a5233f6c48c4acaf",
       "max": 5,
       "style": "IPY_MODEL_da98488be203428a9f55ca0d43f48471",
       "value": 2
      }
     },
     "0514bcb06fbc4af48e29ddff7a9c2a54": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_301ca6d0b2d540e089f6295e86d28147",
       "outputs": [
        {
         "data": {
          "image/png": "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\n",
          "text/plain": "<Figure size 432x288 with 1 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "082827b366c447b9b90792a99d5014fc": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "VBoxModel",
      "state": {
       "_dom_classes": [
        "widget-interact"
       ],
       "children": [
        "IPY_MODEL_f1c406db28714885ad60a93e4b9cec33",
        "IPY_MODEL_f4c1d650a9d347be8d6d82f044bdb5ec"
       ],
       "layout": "IPY_MODEL_5099de5d1b4e421bbb1979c0d5518301"
      }
     },
     "0a6153ea4f6a4861befe274eef0ab9ba": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "IntSliderModel",
      "state": {
       "description": "j",
       "layout": "IPY_MODEL_78c624ffa76a4bb488e1ae8ff41335d6",
       "max": 5,
       "style": "IPY_MODEL_3f461eaf96ed491db9f12d08c69ddd78",
       "value": 2
      }
     },
     "0abe9ad87b5f400fa41a57f356e3a667": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_ef0c9ef3a0504437b8cb601804641d70",
       "outputs": [
        {
         "data": {
          "image/png": "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\n",
          "text/plain": "<Figure size 432x288 with 1 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "0ac9fa920291476bbd667b2dd20141b0": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "0b08677f9c5f49fb8f483075d1260907": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_e470aa24948e480e80b7a165602dca2a",
       "outputs": [
        {
         "data": {
          "image/png": "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\n",
          "text/plain": "<Figure size 432x288 with 1 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "0b31947bb72946018af7774b39ff4024": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "10c7d40f188d4e30959f3cb4a16c86bf": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "IntSliderModel",
      "state": {
       "continuous_update": false,
       "description": "Test:",
       "layout": "IPY_MODEL_ee24fae843f4443eb3821e07239d4727",
       "max": 10,
       "style": "IPY_MODEL_8974f9275dbb4a1994d946e5995e437c",
       "value": 7
      }
     },
     "10eef1daac86499a99a6fdf9530f7ad6": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "IntSliderModel",
      "state": {
       "continuous_update": false,
       "description": "j",
       "layout": "IPY_MODEL_1390cbabea9f4f4bae9bcfe45fbed8cf",
       "max": 5,
       "style": "IPY_MODEL_9ad741a63cae427cb4574fb044438981",
       "value": 1
      }
     },
     "1390cbabea9f4f4bae9bcfe45fbed8cf": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "181855ff39ac48cb97560078d2f215f8": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "height": "350px"
      }
     },
     "1999676aa478457ebde1b11160bc75a5": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "19a4af296e3b434a99cc2d032b776c79": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "1b0699f93fc7437298cd2e7e060e52c2": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "1dabfe12c0ae48ba98c1db6920c8e739": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "VBoxModel",
      "state": {
       "_dom_classes": [
        "widget-interact"
       ],
       "children": [
        "IPY_MODEL_01b8f52717d14aa9af563333dddefd15",
        "IPY_MODEL_0514bcb06fbc4af48e29ddff7a9c2a54"
       ],
       "layout": "IPY_MODEL_a91785c869d9427aba5546d1a3404638"
      }
     },
     "2001579cad6145a4a3f90287a7f41212": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "VBoxModel",
      "state": {
       "_dom_classes": [
        "widget-interact"
       ],
       "children": [
        "IPY_MODEL_2916cf4c91f34a79bda2fecffc400f66",
        "IPY_MODEL_0b08677f9c5f49fb8f483075d1260907"
       ],
       "layout": "IPY_MODEL_e7aefbdb57574a1abd54defdda363496"
      }
     },
     "2003d784574045a38bbe86a2b3d938d9": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_5a91641b780a4357893e34ff7f395f83",
       "outputs": [
        {
         "data": {
          "image/png": "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\n",
          "text/plain": "<Figure size 432x288 with 1 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "26c411a9c26e43d89213ac9f86fe1ce3": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "2916cf4c91f34a79bda2fecffc400f66": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "IntSliderModel",
      "state": {
       "description": "j",
       "layout": "IPY_MODEL_565655cf968c4e8f92d3db2abd19bfa1",
       "max": 5,
       "style": "IPY_MODEL_f2e3e9661bfc43ee84356142a5b4651e",
       "value": 2
      }
     },
     "2aa6ed05ae9d4cd1ba3334d5e48984a7": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "height": "350px"
      }
     },
     "2e4fff48de95449dae5ba749b0be5a5f": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "301ca6d0b2d540e089f6295e86d28147": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "height": "350px"
      }
     },
     "33b7f0b82246458eadfd1734ed7334f4": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "33f4e47664f64ad586c0890575b75866": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "3f461eaf96ed491db9f12d08c69ddd78": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "4357c6e216bd42d5bf6451084284be31": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "43ccc037cdf146d180648d9a15ceaf5a": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "441b7b6bd7474bcbaa34f5c53f01eefb": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "IntSliderModel",
      "state": {
       "continuous_update": false,
       "description": "j",
       "layout": "IPY_MODEL_0ac9fa920291476bbd667b2dd20141b0",
       "max": 5,
       "style": "IPY_MODEL_33b7f0b82246458eadfd1734ed7334f4",
       "value": 1
      }
     },
     "44b17819c1574350b44ffeb8d4e016de": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "IntSliderModel",
      "state": {
       "description": "j",
       "layout": "IPY_MODEL_95b7664fae0f4b85a79adeadcd949184",
       "max": 5,
       "style": "IPY_MODEL_1999676aa478457ebde1b11160bc75a5",
       "value": 2
      }
     },
     "4a5436297f824d04869e0e45dbe2aace": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "IntSliderModel",
      "state": {
       "description": "j",
       "layout": "IPY_MODEL_eebfb5619fc94158bf1486c0b2e311bb",
       "max": 5,
       "style": "IPY_MODEL_0007dad824f44f33822e0faa1f87882f",
       "value": 2
      }
     },
     "4bcf9a963f8a403cb48d9092e30b516c": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "height": "350px"
      }
     },
     "4eabe9874ab645b1852e603af610571e": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "5054bec5ae0a49668f629267da892820": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "5099de5d1b4e421bbb1979c0d5518301": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "54f0c482e05b43ad8f860f2884bb3668": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_fc436e22dec44ce081a83c670758c7ec",
       "outputs": [
        {
         "data": {
          "image/png": "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\n",
          "text/plain": "<Figure size 432x288 with 1 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "565655cf968c4e8f92d3db2abd19bfa1": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "5a91641b780a4357893e34ff7f395f83": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "height": "350px"
      }
     },
     "5c4e1a1d391343a4b0209c174705b438": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "IntSliderModel",
      "state": {
       "continuous_update": false,
       "description": "Test:",
       "layout": "IPY_MODEL_8efc853799e34c2fade08a0780ee1946",
       "max": 5,
       "style": "IPY_MODEL_6061c22a89fe48cca82c51da5b7c9e87",
       "value": 1
      }
     },
     "6061c22a89fe48cca82c51da5b7c9e87": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "630cce67c0b74e868aa821c7d554a711": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "VBoxModel",
      "state": {
       "_dom_classes": [
        "widget-interact"
       ],
       "children": [
        "IPY_MODEL_a31e46995d01487a9bffe96fb16bd3fe",
        "IPY_MODEL_0abe9ad87b5f400fa41a57f356e3a667"
       ],
       "layout": "IPY_MODEL_8885c79df24642a6b1d44cc3d6bfc8d0"
      }
     },
     "643eda169dd143c9b96e1738a2ac5720": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "VBoxModel",
      "state": {
       "_dom_classes": [
        "widget-interact"
       ],
       "children": [
        "IPY_MODEL_4a5436297f824d04869e0e45dbe2aace",
        "IPY_MODEL_f32f9a80e6684385b4f0f81313e16b46"
       ],
       "layout": "IPY_MODEL_cc682d698bcd40aba6f05640b2c7613e"
      }
     },
     "659315b8dbea47f3b4f78a300d35ee95": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "65b0728e0d5b4c599de7082bf638ee82": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "VBoxModel",
      "state": {
       "_dom_classes": [
        "widget-interact"
       ],
       "children": [
        "IPY_MODEL_f952229c2ffd49f6b3a0061fb00e347e",
        "IPY_MODEL_e7496cae3ac24522a6f9051d87278ec1"
       ],
       "layout": "IPY_MODEL_b38e851396354d5f95c792a8ab111cea"
      }
     },
     "6c970ec7ad7f4b6b85e40f5521da3eaa": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "70fb6a3df10d47219b4250bb12f28e2e": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "78c624ffa76a4bb488e1ae8ff41335d6": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "7d49930933b44d959095d89fe585eaaa": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "82d6a351fac94afa8313af8c290710eb": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "height": "350px"
      }
     },
     "83adafd524984bb1a2fb89c086333b45": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "84d05df36a1f4df7b90d105a27344d50": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "height": "350px"
      }
     },
     "8870c5c3b2c64270afcfa55c58bcfa0f": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "8885c79df24642a6b1d44cc3d6bfc8d0": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "8974f9275dbb4a1994d946e5995e437c": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "8df391d2a4104154b78cf32ab14e6c8e": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "8efc853799e34c2fade08a0780ee1946": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "8ffdc17cf9a549b8b0a991cdc558fb51": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_181855ff39ac48cb97560078d2f215f8",
       "outputs": [
        {
         "data": {
          "image/png": "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\n",
          "text/plain": "<Figure size 432x288 with 1 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "9086bcea76d049ca8c795ba0a1a3e8be": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "95b7664fae0f4b85a79adeadcd949184": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "994f1577499c4eb29b5eb51af3537b6c": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "VBoxModel",
      "state": {
       "_dom_classes": [
        "widget-interact"
       ],
       "children": [
        "IPY_MODEL_44b17819c1574350b44ffeb8d4e016de",
        "IPY_MODEL_a467be287ba14380a3137de4fff6a02f"
       ],
       "layout": "IPY_MODEL_43ccc037cdf146d180648d9a15ceaf5a"
      }
     },
     "9a46b501406d437b97e2360e10368d66": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "IntSliderModel",
      "state": {
       "continuous_update": false,
       "description": "Test:",
       "layout": "IPY_MODEL_6c970ec7ad7f4b6b85e40f5521da3eaa",
       "max": 10,
       "style": "IPY_MODEL_e7ee042d1a16474994a6f5bcd12c208e",
       "value": 10
      }
     },
     "9ad741a63cae427cb4574fb044438981": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "9c904d9fb82140f2a6dac293df434165": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "VBoxModel",
      "state": {
       "_dom_classes": [
        "widget-interact"
       ],
       "children": [
        "IPY_MODEL_cf4b0b641ba5432f8ccd344caa9839f7",
        "IPY_MODEL_54f0c482e05b43ad8f860f2884bb3668"
       ],
       "layout": "IPY_MODEL_33f4e47664f64ad586c0890575b75866"
      }
     },
     "a31e46995d01487a9bffe96fb16bd3fe": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "IntSliderModel",
      "state": {
       "description": "j",
       "layout": "IPY_MODEL_83adafd524984bb1a2fb89c086333b45",
       "max": 5,
       "style": "IPY_MODEL_5054bec5ae0a49668f629267da892820",
       "value": 2
      }
     },
     "a467be287ba14380a3137de4fff6a02f": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_82d6a351fac94afa8313af8c290710eb",
       "outputs": [
        {
         "data": {
          "image/png": "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\n",
          "text/plain": "<Figure size 432x288 with 1 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "a5056fdb9219483e9aa8e4b156834c6d": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "IntSliderModel",
      "state": {
       "description": "j",
       "layout": "IPY_MODEL_9086bcea76d049ca8c795ba0a1a3e8be",
       "max": 5,
       "style": "IPY_MODEL_8df391d2a4104154b78cf32ab14e6c8e",
       "value": 2
      }
     },
     "a5f34f674fa4494887077ed9bfa001c2": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "IntSliderModel",
      "state": {
       "continuous_update": false,
       "description": "j",
       "layout": "IPY_MODEL_7d49930933b44d959095d89fe585eaaa",
       "max": 5,
       "style": "IPY_MODEL_faf68c616b2145c4ad3c38c3e39e19d6",
       "value": 1
      }
     },
     "a91785c869d9427aba5546d1a3404638": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "b38e851396354d5f95c792a8ab111cea": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "b9149404005943568b04e902f41500f3": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "height": "350px"
      }
     },
     "c4079ea6c3fc45e1af9086a24d667625": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "c59f897556b74b5abe19cd3622c2e6bc": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "VBoxModel",
      "state": {
       "_dom_classes": [
        "widget-interact"
       ],
       "children": [
        "IPY_MODEL_0a6153ea4f6a4861befe274eef0ab9ba",
        "IPY_MODEL_2003d784574045a38bbe86a2b3d938d9"
       ],
       "layout": "IPY_MODEL_4eabe9874ab645b1852e603af610571e"
      }
     },
     "cbc694d9180a49e7acff553b26bea395": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "VBoxModel",
      "state": {
       "_dom_classes": [
        "widget-interact"
       ],
       "children": [
        "IPY_MODEL_a5056fdb9219483e9aa8e4b156834c6d",
        "IPY_MODEL_fb4e770716d74a3aae84c2f8f0d0a20d"
       ],
       "layout": "IPY_MODEL_19a4af296e3b434a99cc2d032b776c79"
      }
     },
     "cc682d698bcd40aba6f05640b2c7613e": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "cf4b0b641ba5432f8ccd344caa9839f7": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "IntSliderModel",
      "state": {
       "description": "j",
       "layout": "IPY_MODEL_2e4fff48de95449dae5ba749b0be5a5f",
       "max": 5,
       "style": "IPY_MODEL_dce4ebfe2b174c259001bb1db8ac10fa",
       "value": 2
      }
     },
     "d186c15edad843508ae1504482e37b8b": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "VBoxModel",
      "state": {
       "_dom_classes": [
        "widget-interact"
       ],
       "children": [
        "IPY_MODEL_f7169d4c2d3546f995fddb4cf59b60a0",
        "IPY_MODEL_8ffdc17cf9a549b8b0a991cdc558fb51"
       ],
       "layout": "IPY_MODEL_26c411a9c26e43d89213ac9f86fe1ce3"
      }
     },
     "da98488be203428a9f55ca0d43f48471": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "dce4ebfe2b174c259001bb1db8ac10fa": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "e470aa24948e480e80b7a165602dca2a": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "height": "350px"
      }
     },
     "e7496cae3ac24522a6f9051d87278ec1": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_b9149404005943568b04e902f41500f3",
       "outputs": [
        {
         "data": {
          "image/png": "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\n",
          "text/plain": "<Figure size 432x288 with 1 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "e7aefbdb57574a1abd54defdda363496": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "e7ee042d1a16474994a6f5bcd12c208e": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "ee24fae843f4443eb3821e07239d4727": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "eebfb5619fc94158bf1486c0b2e311bb": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "ef0c9ef3a0504437b8cb601804641d70": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "height": "350px"
      }
     },
     "f1c406db28714885ad60a93e4b9cec33": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "IntSliderModel",
      "state": {
       "description": "j",
       "layout": "IPY_MODEL_659315b8dbea47f3b4f78a300d35ee95",
       "max": 5,
       "style": "IPY_MODEL_c4079ea6c3fc45e1af9086a24d667625",
       "value": 2
      }
     },
     "f2e3e9661bfc43ee84356142a5b4651e": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "f32f9a80e6684385b4f0f81313e16b46": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_84d05df36a1f4df7b90d105a27344d50",
       "outputs": [
        {
         "data": {
          "image/png": "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\n",
          "text/plain": "<Figure size 432x288 with 1 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "f4c1d650a9d347be8d6d82f044bdb5ec": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_4bcf9a963f8a403cb48d9092e30b516c",
       "outputs": [
        {
         "data": {
          "image/png": "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\n",
          "text/plain": "<Figure size 432x288 with 1 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "f7169d4c2d3546f995fddb4cf59b60a0": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "IntSliderModel",
      "state": {
       "description": "j",
       "layout": "IPY_MODEL_f8f9a4a7eb4f4bfab87ade44f5ca8974",
       "max": 5,
       "style": "IPY_MODEL_70fb6a3df10d47219b4250bb12f28e2e",
       "value": 2
      }
     },
     "f8f9a4a7eb4f4bfab87ade44f5ca8974": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "f952229c2ffd49f6b3a0061fb00e347e": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "IntSliderModel",
      "state": {
       "description": "j",
       "layout": "IPY_MODEL_1b0699f93fc7437298cd2e7e060e52c2",
       "max": 5,
       "style": "IPY_MODEL_8870c5c3b2c64270afcfa55c58bcfa0f",
       "value": 2
      }
     },
     "faeae970184441d2a5233f6c48c4acaf": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "faf68c616b2145c4ad3c38c3e39e19d6": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "fb4e770716d74a3aae84c2f8f0d0a20d": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_2aa6ed05ae9d4cd1ba3334d5e48984a7",
       "outputs": [
        {
         "data": {
          "image/png": "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\n",
          "text/plain": "<Figure size 432x288 with 1 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "fc436e22dec44ce081a83c670758c7ec": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "height": "350px"
      }
     },
     "fe1c9ccd7d774d51810ac79607293c03": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "IntSliderModel",
      "state": {
       "continuous_update": false,
       "description": "Propensity to consume:",
       "layout": "IPY_MODEL_0b31947bb72946018af7774b39ff4024",
       "max": 5,
       "style": "IPY_MODEL_4357c6e216bd42d5bf6451084284be31",
       "value": 1
      }
     }
    },
    "version_major": 2,
    "version_minor": 0
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}