{
 "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": [],
   "source": [
    "%%html\n",
    "<script>\n",
    "    // Autorun!\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": [
       "(0.0, 50.0, 0.0, 110.0)"
      ]
     },
     "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 0xdb7bc90>]"
      ]
     },
     "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": 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\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": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "145a3886aef74b5fa15ccd9468632cfc",
       "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",
    "display(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": {
     "061dd869bb074be7b9e4ba515ce6b10f": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "height": "350px"
      }
     },
     "080062166daa457d8f3598b11e01f9f7": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_ceb9c1ae9d3d4e6b9c445321f104e958",
       "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"
        }
       ]
      }
     },
     "08156aa67d774f758438ab10a210cf95": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "VBoxModel",
      "state": {
       "_dom_classes": [
        "widget-interact"
       ],
       "children": [
        "IPY_MODEL_8bf379505a40416bb58ac396278077d5",
        "IPY_MODEL_861cf0719b6248d4a837256236e6cd22"
       ],
       "layout": "IPY_MODEL_b0c5abe7e6ec49d691eee01359204a5b"
      }
     },
     "0af213ed35c942eb80ea15bef60867ee": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_717c2d82852f43a78e209d285a77385a",
       "outputs": [
        {
         "data": {
          "image/png": 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dupSRI0fWGB84cCB+f2Q/J2vfBWSMMS0sOzub888/H3fnJEVFRZx99tkRjsoSgDEmihw17ahmX+bSqUsPOn3Tpk1kZGTU6O//6U9/Wv2jL1dffTVPPPFEs8fVEJYAjDFRo76ddUsI98Mvy5cvZ/Lkyezbt4/Vq1dzxx13sHz5cmbMmHFYY7NrAMYY04KWLl3KkCFDapRlZ2dz9NFH8+WXX3LWWWdxzz33kJSUdNhjswRgjDEtqHYCKCgoQFXp0qULn3/+Oeeccw5ARC4IWxeQMca0oNo//NKpUydyc3MBryvohhtuID8/n0h8J5olAGOMiZDHH38cgPT0dO6///7Dvn7rAjLGmChlCcAYY6KUJQBjjIlSlgCMMe2aatjfpGpTWqoNlgCMMe1WfHw8O3bsaNNJQFXZsWMH8fHxzb5suwvIGNNuZWVlkZOTQ1v/3fH4+HiysrKafbmWAIwx7VZMTAx9+/aNdBitlnUBGWNMlLIEYIwxUaohvwn8lIjkisiykLI/ichKEVkiIjNEpGPItNtFZLWIfC0iZ7RU4MYYY5qmIWcAzwBn1ip7FximqkcD3wC3A4jIEOASYKib5xERiexP3hhjjAmrIT8K/wFQUKvsHVWtcKOfAlWXpycDL6hqqaquA1YDY5sxXmOMMc2kOa4BXAm85YZ7AJtCpuW4MmOMMa1MkxKAiNwBVABV33cqYaqF/QSGiFwjIgtFZGFbv0fXGGPaokYnABGZCpwNfE/3f8wuB+gZUi0L2BJuflV9TFVHq+roSHwPtjHGRLtGJQARORP4JXCuqu4LmTQTuERE4kSkLzAAWND0MI0xxjS3ej8JLCLPAycD6SKSA9yJd9dPHPCuiAB8qqrXqmq2iEwHluN1DV2nqpUtFbwxxpjGk9bwJUmjR4/WhQsXRjoMY4xpU0TkC1Ud3dj57ZPAxhgTpSwBGGNMlLIEYIwxUcoSgDHGRClLAMYYE6UsARhjTJSyBGCMMVHKEoAxxkQpSwDGGBOlLAEcxBcbCrj40U/I2bmv/srGGNPGWAI4iFnLtlFaEWTK3z9m/ur8SIdjjDHNqt4vg4tmH63ewf+bMozSikpufGERV5/Yl2vG98N9AZ4xxrRpdgZQh7w9peTs3McxWakc3z+dV647gTeWbuWnz3/F3tKK+hdgjDGtnCWAOny8Jp/j+nUm4Pdeoh4dE5j+o3Ekxvg5/5GPWZ+/N8IRGmNM01gCqMP81fmceER6jbL4GD9/vOBovj+uNxf882PmrsyNUHTGGNN0lgDCUFU+WpXPCbUSAICIcNlxvXn0slHc/r+lPDxnFcFg5H9TwRhjDpUlgDDW79hHUKF/RlKddUb17sTMn57A+9/kcc2/v6CwpPwwRmiMMU1nCSCMj1Z7R/+yrwCWvQzBYNh6mR3ief6Hx9EtNZ4pf5vPss27D3OkxhjTeJYAwpi/Kp8TB3QGfwx88nd4+izIXRm2bmzAx++mDOOGCQP4wdML+P2bK9hXZncJGWNav3oTgIg8JSK5IrIspKyTiLwrIqvcc1rItNtFZLWIfC0iZ7RU4C2lMqh8snYHJ/RPh+3L4Mp34KgL4JlJsH15nfNNGdGDt28aT96eUk5/8APmfW0XiI0xrVtDzgCeAc6sVXYbMEdVBwBz3DgiMgS4BBjq5nlERPzNFu1hsHTzbrp2iCezdCO8dCWID8b+EK5bAJlHQvYrsP6jsPN2To7jwYuH8/vzjuL/Xl3GjS98RX5R6WFugTHGNEy9CUBVPwAKahVPBqa54WnAlJDyF1S1VFXXAauBsc0U62Ex3/X/kz0DhkwBn3uJktJBBGIS4H/XwMzroXhn2GWMH5jBOzedRNfUeM78ywdMX7gJVbtTyBjTujT2GkAXVd0K4J4zXXkPYFNIvRxXdgARuUZEForIwry8vEaG0fw+qur/z54BQ887sMLAM+Ann0IgHt78RZ3LSYj1c/tZRzLtyrH859MNXPr4p6zNK2rByI0x5tA090XgcF+SE/bQV1UfU9XRqjo6IyOjmcNonOKyShbn7GJsn05w+u8ga0z4ivEdYNKfYMo/oCgXXvwB7FwfturQ7qnM+MkJnD6kK9/5x8f87b1VlFWEv6vIGGMOp8YmgO0i0g3APVdd8cwBeobUywK2ND68w+vz9QUM7d6B5N3fQK9x+7t/6uIPQEIadD0KHjsF3vt/ULzrwGo+4coT+/L6Dd/iy427OOuhD3hjyVb7AJkxJqIamwBmAlPd8FTg1ZDyS0QkTkT6AgOABU0L8fD5aHU+J/TvDNMvh7yvGzaTPwa+dQtcMw+KtkPJbijKC5sIenRM4Mmpo/n1t4fw6AdrmPTwh7y11BKBMSYyGnIb6PPAJ8AgEckRkauAe4HTRGQVcJobR1WzgenAcmAWcJ2qVrZU8M3to1X5nNY5DyrLoMfIQ5s5rTec+1fvedXb8NeRMO8+LyGEEBFOGZzJq9edwK1nDOLv81bz7b9+xNvZ2+xCsTHmsJLWsNMZPXq0Lly4MKIx7Cgq5eQ/zWPRiZ/gJwin3d3EBa6BD/4EG+bD9V96ZwphqCqzV+Ty4LvfIAI3TRzIxCMz7TcHjDH1EpEvVHV0o+e3BOB5bfEWXl20mSdOj4X4VEjr0zwLLt4FCR2920Y79oZjfwRxKQdUU1Xezt7OX2Z/Q2zAx00TB3DKIEsExpi6NTUB2FdBOPNX5zOxp0JSRvPt/MHb+QOMux7yVsJDw+HzJw+oJiKcOawrb97wLX58Un/ue+trpjzyMbOWbaW80u4aMsY0PzsDwDv6PvG+ubw2+B06JSfAxDtbbmW5K2HnOhh0Fsz+LfQ7GfqO9z5kFiIYVGZlb+OZ+etZv2MvF43uySVje5KVlthysRlj2pSmngHYbwIDGwv2UV5RSdr6N+CS51p2ZZmDvUcwCCndYNZtUFEKp/zK+84hx+cTJh3VjUlHdWPV9j08t2Aj5/z1I47p2ZHvju3FqYMzq3+tzBhjGsPOAID/fLqB/JUfc9Oe++GnCw84Gm9RqrBpgXfnUe/jvYQwZDL0PuGAOErKK3l9yVae+2wDW3aVcNGYnlwypifdOyYcvniNMa2GnQE0g/mr8zl7wGDo8fDh3fmDt75ex3rDFaXQqR+8/jNAYeJvYfCk6qrxMX4uGJXFBaOyWLmtkOc+28hZD33I6N5pXDq2F+MHZhAbsLMCY0zDRP0ZQGVQGXX328y+LJP0fiMOfwIIRxU2fuJ931DmkfDC97zvIBp8NqTW/GqlfWUVvLZ4C9MX5rA6t4hTB2dyxtCunDQwg4TYNvVFrMaYQ2S3gTbRkpxdPPncCzyU9DRc91lEYjioynJY9S6seA2+eQtOuBFOvBkKt0KHbjWqbi8s4Z3sbby1bBtLc3Zz4oB0zhzWlVMHZ5ISH/5zCMaYtssSQBM9Mm81I7Pv47ihR8DJv4xIDA1WWQ5lRRCTCA+PgPiOcOQ5MOx8yBhUo2rB3jJmL9/OrOxtLFhXwJg+aZw1rBsTh3ShU1JshBpgjGlOdg2giT5elcuVRfNg6M8jHUr9/DHel88B3LQMcj6HFTNh7fteAnjvHu8Ooz7j6ZScwUVjenLRmJ7sKSnnvZW5vJ29jd+9vpzB3VIY1z+d4/t3ZkSvjsQFrKvImGgU1QmgpLySZZsK0PPuOeAIutXz+byLx1UXkFW95LDkRXj9Zu9OonP/ClsWkZLWm8nDezB5eA+Kyyr5fH0BH6/ZwR/eWsnq7XsY3qsjx/dP57h+nTk6K5UYu73UmKgQ1Qng8/UFnJhRTMLR50c6lKYTgXE/8R6VFVDsfsRtweOw/BXo3B8Gn03CSb9g/BGdGT/Q+w2GwpJyFqz1EsKvX1lGTsE+RvVJ4/j+nRnXL53B3VIsIRjTTkV1Api/ajv3Ff4Cdo30dpDthT8Aye5H2qb8Hc5+EDZ/AXvcTzO8ci1s/hK6j6BDj5FMHHM1E4d0AbxrB5+u3cEna3YwfeEiNu8s5shuKRyd1ZGjs1I5OiuVfunJ+Hyt4G4pY0yTRHUC2L3yfe/TuO1p5x9OIBZ6j9s/PvkRyP8atnwFuSvAF4BPHoGv/kOn7iOY1H04k07/DiQOY09JOcs2F7J08y7mrMzlL7NXUbC3jKHdO7iE4CWGXp0S7YvrjGljojYBFOwtY/juucRP+E6kQzn8/AHoMtR7VBlztZcktnzlnR0MmgTr55Pyxs8YlzGIcRmDYcJk6HIKOwuLWLqtmKWbd/Pa4i38/s0VFJVUcESXZAZkJjMgM6V6uHtqgp0tGNNKRW0C+GTNDnK6TsB/zLmRDqV1CMRC9xHeY/SVXllSOnznCe/X0fK+htIiKNtH2sNHML5DN8ZnDIajz4HLv8uunJWs3RNgxe4Aq3L38v43eazK3cOekgqOyEyufgzITKFP50Sy0hLtg2rGRFjUJoBFK1aSdeT4Az5Za0IE4rzfO+56VM3y2zdBwVrv663jOgDQ8ZN7GblmLiODFdBjFFw9E9a8R/HWtWwmk9Vlnflqj49n1xWwccc+cnYVk5oQQ8+0BHp1SqRn1SMtkZ6dEuiWmoDfzhyMaVFRmwCO/uZvHJt6HDC03rqmFn+Md9ts6K2zFz7jPRfvgr153nAwSMKu1Ryxaw5H7NzAmZe/Ars2wqw70e7d2Befyfqsyaz094a1c1mzLYm3ipJZsdNHQXE5XTvE07VDPJkd4rzh1HgyXVlVeXyMnUUY01hNSgAicjNwNaDAUuAKIBH4L9AHWA9cpKo7mxRlM9uYu5tvVX5G6rEPRDqU9ieh4/4fwRkw0XuEik+Fbz+A7NlC0p5tDO2VydD0TFj2IuzZCnu2wcCJlEx5gtI3bqeiYD2FZansyE/jDZ1Kzups2L2RtfsSWL03gZLYjmR0SCIjJY5OSbF0To6lc1IsnZLiQoZj6ZwcR4f4gF2oNiZEoxOAiPQAbgCGqGqxiEwHLgGGAHNU9V4RuQ24DWhV37GwZsGb9I3vSce03pEOJfrEpUDWKGBUzfKpM/cPV5YT7/cTP+YS2LWBznvz6Vu2l9EnDoXsVfD5WxCTj8bkUzh5GrkV8fR48wpKilLYl5fMok5n8WH8qYze/G+2l5WzvTyBVaVpzK0YxsCEPaTHBwnEdyAmMZXExCQ6JMaSmhBT49EhIYYOCQGS47xHUlzAPg9h2p2mdgEFgAQRKcc78t8C3A6c7KZPA+ZRTwLYXZTPK5+/SkV8OnG710CwAgD1x1HWoQ+Bfdvwl+6url+a2g9fZSkxRZuryyoSu1AZ15G4nSury4IxSZQn9ySmaBO+8r3V5W9s2cfFx9xCn8a327Qkv/viuh4jvUeooVO8ByBAKpBaUQaZ/yOxZBedineRlZrF2ZmD4ZM+ULgFSnZBYiylp5xB+ezfE7v8RWTPHnwFRbw54R1i8r7i+IW/o1gS2ScJvJLyXT5mOFftfICiYByFlQEWV/RmFidwRuwSugb2orGJSGwSazocR6a/iAz/HvyxCcTEJSKJnYiLjSMx1k9CXICEGD+JsQESYv0kxPiJj/ERF+MnPrD/2X7cx0RCk74MTkRuBO4BioF3VPV7IrJLVTuG1Nmpqmlh5r0GuAYgtVf8qFH/N4bdvlR6VObg10oAyiSWbf5udAruIDlYVD3v5kAWsVpGRmVudVmBrzNFvmR6VWygqkXFkki+P4P0yjwSdF913Q0xnRiXdQx/PPn3JMUkNbr9pp0oL4Gi7VC6x/uyvY69vd+GXvw8lO+Dsr1ox96UDJpCxcd/RbYuobJkL8GKUhae8Cgd18xg4Mp/4qsswVdZxswj7ibXl8n12RdRIbGUSSzvJp3NtPjLuHXX3WRU5lGqATZrOj8L3sCZlfM4zf8lFRJDpS+Wp2IuJTmgnFc5i6AvBvXFsCJhJBuSjmLi3jcI+ED8seyNy2R92jh6l3xNx8p8fP4YxB/D9k5jSNS9dC7NwReIxecPUJ7cA43vQErxFvx+P35/AGKTIaEjccG9+AX8/hgCMQH8MfH4fULA58Pno8azXwS/X7xnn/fwCda1FiER+zZQEUkDXgYuBnYBLwIvAX9rSAIIdbi/DbSssox7PruHxbmLeejUh+jdwbqCTAsIVkJFiZdg/AHv+kf+aijbAxVlID7oOQbdnk3l9pWUlyGC3IkAABz4SURBVJVQUVZKYd8zKSsuInHl/whWlBGsKGNH5vHkp4+iz5f3IWV7oLKMwvgsvupzNQPX/5tuBZ9DsAIJVvLSEX+gS+FSTt78KKKV+IIVvJ5+FdnxI/j1hisRDeKjkq/ix/Johxu4dcedDC1fgk+DlEuAKcnPcV7pq/yk7Gm8mj5u8N3BZk3nOf0FQfURRHg+OJH7Ky7k2cD/o5cvF8VHjmZwpf6Gq3yvMUXeJ4ig+Phl4FZS2ccvKx9F8aEivBIzifdiT+YPxXcTp2Ugwjp/X55M/iEXFL/MUeVL3O9zCA90/BX9K9Zwzt6XUfHOlt5OOY+1cYO5tuBPgKDAmvihzE09j7N2PU+P8g0oQoUvlue73MKRexcyqmguiCDA3E4Xs8/fgUn5TwOgAmuSRrM09WQm5k0juaIAEPYG0pjb9QccuXs+/fd+4dYlfNjle8QFSzh2x4zqTb4q9QTWp4zklK1PEAiWAj52xXfjq4zzGLJzNl32rcI7d4X5Pa6kU8lGjiyY4+YWvu58KjsS+nL8Zi8mEchL7M+qzhMZmvs6qWVbvbeWBFiQdQW3nDE4YgngQuBMVb3KjV8OHAdMAE5W1a0i0g2Yp6oH/aa1SHwdtKry4jcv8vdFf+d3J/yO8VnjD+v6jWnVVEGDXhLTSvC7rxAvLfSmBSu924TjO6CFW6gsL6OysgLET0WHngT3bEP37kCDQSqDlZSnHUGwvAxfwSoIBlGtpDSpO+VJ3Ynb/CkarECDQcpjkilOP4aY/Gxi9m4j6OLY3WM8/r15JOYvQVVRDbKn01EUx2eSvmkWqKKqFCd0Y2f6KDpt+4jYknzQIEHxk9PzHJJ3f0PHgsWoeu3b1uVbVPgT6JHzFqCgyq4OA8lLG0HvnNeIKS8EoMyfzNqsc0nf8QWdC5fjFsDq7pPxVxbTZ+ssb35ga8dR5KUexdAN/8YXLANgb1wXVnWdRO+8eaQVramuu7jnZaQU59A3by4QBGBd55PZmdiHURufRl29HQn9WJMxkcHbX6NDyRZQqBQ/C3pdxc2nDYpYAjgWeAoYg9cF9AywEOgF7Ai5CNxJVX9xsGVF8vcAFuUu4pZ5t3DRoIv44dE/xCfWF2uMaRua2gXU6L2dqn6G1+XzJd4toD7gMeBe4DQRWQWc5sZbreGZw3n+7Of5cPOH3Dz3ZorKiuqfyRhj2oGo/0WwKmWVZdy74F4Wbl/IQ6c8RN/UvhGNxxhj6hOxM4D2JtYfy2/G/YbLh1zOD2b9gLkb50Y6JGOMaVFR+1UQdblg4AUMSBvALfNuYWXBSn50zI/suoAxpl2yPVsYx2Qcwwtnv8AnWz/hujnXsW3vtkiHZIwxzc4SQB3SE9J58vQnOSbjGC567SKeXfEslcHKSIdljDHNxhLAQcT4Y7j2mGt55qxneGf9O1w+63JW7VwV6bCMMaZZWAJogH6p/Xj6zKeZ3H8yV719FQ9/+TCllaWRDssYY5rEEkAD+cTHRYMu4qVzX2Ld7nVcMPMCPt/2eaTDMsaYRrMEcIgyEzN58JQHuWnUTdz+4e3c9fFdFJYVRjosY4w5ZJYAGmlCrwnMmDyDgC/Aea+cxzvr36E1fKjOGGMayhJAE6TEpvDr437N/SffzyOLHuGKt6+wbiFjTJthCaAZjMgcwUvnvsT5A87nN/N/w9XvXM1XuV9FOixjjDkoSwDNJOALcG7/c5l53kwm9Z3EbR/cxrXvXsuSvCWRDs0YY8KyBNDMYnwxnD/gfF4/73VO7XUqt7x/C9fNuY7sHdmRDs0YY2qwBNBCYvwxXDToIt447w1O7HEiN8y5gRveu4GVBSvrn9kYYw4DSwAtLNYfy6WDL+WN899gbNex/Hj2j7nxvRv5dOunBDUY6fCMMVHMfg/gMCuuKObV1a8y/ZvplFWWceHAC5ncfzId4zvWP7MxxoSI2I/CN6doSgBVVJXFeYt58ZsXmbtxLif1PIkLB17IiMwRiEikwzPGtAFNTQD2ewARIiIMzxzO8Mzh7C7dzaurX+XOj+8k4Atw4cALOaf/OaTEpkQ6TGNMO9akMwAR6Qg8AQzD+6n7K4Gvgf8CfYD1wEWquvNgy4nGM4BwVJWF2xcy/evpzN8yn4m9JnJu/3MZkTkCv88f6fCMMa1MRLuARGQa8KGqPiEisUAi8CugQFXvFZHbgDRV/eXBlmMJ4ED5xfm8svoVZq2bRX5xPqf2OpWJvScypusYYnwxkQ7PGNMKRCwBiEgHYDHQT0MWIiJfAyer6lYR6QbMU9VBB1uWJYCD21i4kdkbZzN7w2w27tnISVkncVrv0xjXfRxx/rhIh2eMiZBIJoDhwGPAcuAY4AvgRmCzqnYMqbdTVdPCzH8NcA1Ar169Rm3YsKFRcUSbbXu3MXvDbGZvnM03Bd9wYo8Tmdh7Iif2OJHEmMRIh2eMOYwimQBGA58CJ6jqZyLyEFAIXN+QBBDKzgAaJ784n/c2vsfsDbNZnLeYo9KPYmy3sYztOpZh6cMI+OwavzHtWSQTQFfgU1Xt48a/BdwGHIF1AR12e8r28OX2L/ls22cs2LqAzUWbGdllJGO7juXYbscyMG0gPrHP/RnTnkTsNlBV3SYim0RkkKp+DUzA6w5aDkwF7nXPrzZ2HabhUmJTOKnnSZzU8yQAdpbs5PNtn7Ng2wJe+uYldpXuYkzXMYztOpaRXUbSP7W/3VlkTJRr6l1Aw/FuA40F1gJX4H29xHSgF7ARuFBVCw62HDsDaHnb925nwbYFfLb1MxbnLSZ3Xy6DOw1maPpQhnUextD0ofRK6WUfQjOmDbFPAptGKSwrZPmO5SzLX1b9XFRexNDOQxnaeSjD0ocxLH0YXRK7WFIwppWyBGCaTX5xPst3LCc7P5tlO5aRnZ9NWWUZ/Tr2o3/H/vRL9Z77p/ana1JXSwzGRJh9FYRpNukJ6YzPGs/4rPHVZTtLdrJ291rW7FrD2t1r+WjzR6zdtZai8iL6pfarTg59O/QlKyWLHsk97HZUY9oISwDmoNLi0xgVP4pRXUbVKC8sK2TtrrXVyWHhtoVsLtrM5qLNJMUkkZWcRY+UHmQlZ5GVklU93iWxi92eakwrYV1AplkFNciO4h3kFOWQsydn//OeHDYXbaagpIDOCZ3JTMykS2IXMhMzyUzMJCMho8a4nUUYUz/rAjKtik98ZCRmkJGYwYjMEQdML6ssI3df7gGPlTtWsn3fdnL35ZJXnEesL5aMxAzS4tPoFN+p+pEWn0ZafBqd4zuTFpdGp4ROpMam2i2txjSCJQBzWMX6Y70uoZSsOuuoKoVlheTuy2VnyU4KSgsoKC5gZ+lO1uxaQ0FJAQUlBd60kgKKyopIik2iQ2yH/Y+4uoeTY5JJikkiKSaJ5JhkEgIJdkHbRCVLAKbVERFS41JJjUttUP2KYAV7yvZQWFZIYWmh9+yGd5ftpqC4gPW711eX7y3fW+NRWllKYiCxRlJIikkiMSaRhEBC9SM+EF89nBioOS0uEEe8P55Yfyzx/njiAnHE+b2HXfMwrZW9M02bF/AFqruGGqMiWMG+in3sLdtLUXlRdWLYV7GP4opiisuLveeKYgpLC9m2dxslFSXVZcUVxZRWllJSWUJZZRklFSWUVpZWP3z4vMQQ8BJErC+WWH8sMb4Yb9yVxfhj9pf5vOkx/hgCEvCefQFifOGfA74AAQng9/n3P7uygG//uF/8+x8+Pz7xEZAAPvHh9+0v94s3req56mHaF0sAJuoFfIHqLqLmpqpUBCtqJIiyyjLKgmWUV5ZTFiw7oKw8WE5ZZRnlwXIqghU1nksqSsKWVwQrqAhWUKmVVAYrKddyKoOV1WWh04MapCJYQVCDXn03T9VwMBikQvdPV1UqtRIAv/gRkRoJInRckOqy0MRRNa16WKR6vEY5Uj1v1XB1GT4Q8OGrUV7jGQlbBwhbr3ZZaF2gelrt4arxGnVD5q+u08B5D1YeuozaZU1lCcCYFiQi3pG9P4ZkkiMdTpPUTghBDdb5ULRG/drlVcOqSpBgjTpA9XxVdar+BTUISvU8NaaH1AtX5v0/sB5wwDxVFDfdTQutG6r29Kqy0PHQug2pV9e02vM1hSUAY0yDWDdQ63M1VzdpftuaxhgTpSwBGGNMlLIEYIwxUcoSgDHGRClLAMYYE6UsARhjTJSyBGCMMVGqyQlARPwi8pWIvO7GO4nIuyKyyj037vP5xhhjWlRznAHcCKwIGb8NmKOqA4A5btwYY0wr06QEICJZwLeBJ0KKJwPT3PA0YEpT1mGMMaZlNPUM4C/AL4BgSFkXVd0K4J4zw80oIteIyEIRWZiXl9fEMIwxxhyqRicAETkbyFXVLxozv6o+pqqjVXV0RkZGY8MwxhjTSE35MrgTgHNFZBIQD3QQkf8A20Wkm6puFZFuQG5zBGqMMaZ5NfoMQFVvV9UsVe0DXAK8p6rfB2YCU121qcCrTY7SGGNMs2uJzwHcC5wmIquA09y4McaYVqZZfg9AVecB89zwDmBCcyzXGGNMy7FPAhtjTJSyBGCMMVHKEoAxxkQpSwDGGBOlLAEYY0yUsgRgjDFRyhKAMcZEKUsAxhgTpSwBGGNMlLIEYIwxUcoSgDHGRClLAMYYE6UsARhjTJSyBGCMMVHKEoAxxkQpSwDGGBOlLAEYY0yUsgRgjDFRqtEJQER6ishcEVkhItkicqMr7yQi74rIKvec1nzhGmOMaS5NOQOoAG5R1SOB44DrRGQIcBswR1UHAHPcuDHGmFam0QlAVbeq6pdueA+wAugBTAamuWrTgClNDdIYY0zza5ZrACLSBxgBfAZ0UdWt4CUJILOOea4RkYUisjAvL685wjDGGHMImpwARCQZeBm4SVULGzqfqj6mqqNVdXRGRkZTwzDGGHOImpQARCQGb+f/rKr+zxVvF5Fubno3ILdpIRpjjGkJTbkLSIAngRWq+kDIpJnAVDc8FXi18eEZY4xpKYEmzHsCcBmwVEQWubJfAfcC00XkKmAjcGHTQjTGGNMSGp0AVPUjQOqYPKGxyzXGGHN42CeBjTEmSlkCMMaYKGUJwBhjopQlAGOMiVKWAIwxJkpZAjDGmChlCcAYY6KUJQBjjIlSoqqRjgERyQM2NPNi04H8Zl5mpLW3Nll7Wr/21qb21p5BqprS2Jmb8lUQzUZVm/3rQEVkoaqObu7lRlJ7a5O1p/Vrb21qj+1pyvzWBWSMMVHKEoAxxkSp9pwAHot0AC2gvbXJ2tP6tbc2WXtCtIqLwMYYYw6/9nwGYIwx5iAsARhjTJRqFwlARAaJyKKQR6GI3CQinUTkXRFZ5Z7TIh1rQxykPXeJyOaQ8kmRjrWhRORmEckWkWUi8ryIxLfV7QN1tqfNbh8AEbnRtSdbRG5yZW15G4VrT5vaRiLylIjkisiykLI6t4mI3C4iq0XkaxE5o97lt7drACLiBzYDxwLXAQWqeq+I3AakqeovIxrgIarVniuAIlW9P7JRHRoR6QF8BAxR1WIRmQ68CQyhDW6fg7SnD21w+wCIyDDgBWAsUAbMAn4M/JC2uY3qas/3aEPbSETGA0XAv1R1mCv7I2G2iYgMAZ7Ha3N3YDYwUFUr61p+uzgDqGUCsEZVNwCTgWmufBowJWJRNV5oe9qyAJAgIgEgEdhC294+4drTlh0JfKqq+1S1AngfOI+2u43qak+boqofAAW1iuvaJpOBF1S1VFXXAavxkkGd2mMCuAQvCwJ0UdWtAO45M2JRNV5oewB+KiJL3KlhmzgdV9XNwP3ARmArsFtV36GNbp+DtAfa4PZxlgHjRaSziCQCk4CetNFtRN3tgba7jarUtU16AJtC6uW4sjq1qwQgIrHAucCLkY6lOYRpzz+A/sBwvB3PnyMU2iFxf2STgb54p6ZJIvL9yEbVeAdpT5vcPgCqugK4D3gXr7tkMVAR0aCa4CDtabPbqAEkTNlB+/jbVQIAzgK+VNXtbny7iHQDcM+5EYuscWq0R1W3q2qlqgaBx6nn9K4VmQisU9U8VS0H/gccT9vdPmHb04a3DwCq+qSqjlTV8XjdDqtou9sobHva+jZy6tomOew/ywHIop6uyfaWAC6lZnfJTGCqG54KvHrYI2qaGu2p2ujOeXinuW3BRuA4EUkUEcG7rrGCtrt9wranDW8fAEQk0z33As7He++11W0Utj1tfRs5dW2TmcAlIhInIn2BAcCCgy2o3dwF5Pr5NgH9VHW3K+sMTAd64f3RXqiqtS+otEp1tOffeKeuCqwHflTVF9jaichvgYvxTsO/Aq4Gkmm72ydce56gjW4fABH5EOgMlAM/U9U5bfxvKFx72tTfkIg8D5yM9zXW24E7gVeoY5uIyB3AlXjvy5tU9a2DLr+9JABjjDGHpr11ARljjGkgSwDGGBOlLAEYY0yUsgRgjDFRyhKAMcZEKUsAxhgTpSwBGGNMlLIEYIwxUcoSgDHGRClLAMYYE6UsARhjTJSyBGCMMVHKEoAxxkQpSwDGGBOlLAEYY0yUsgRgjDFRyhKAMcZEqVaTAEREReTPIeM/F5G76plniogMaeJ6p4rIKveYWv8cDVpmLxF5R0RWiMhyEenjyvuKyGduXf8VkVhX/h0RyRaRD91P8CEi/UXkhQau76cistq9hunN1IYPRWSRe2wRkVdcuYjIw259S0RkpCvPEJGPRGSZiEwJWc6rItK9Aes7TUS+EJGl7vnUZmjD90LasEhEgiIy3E2bJyJfh0yr+v3Y610b3gzZPieKyAMNXOcsEVnstuc/RcTfDO241L0uS9zy0115nHsfrXbvqz6ufJB7DReLyDhXFhCR2e6nRhu63jEiUikiFzRDG1JF5LWQ1+aKkGnrXfsWicjCkPL7XJv/FVJ2mYjc2MB1ht3GTWzHxS6mbBH5Y0h5i26LFqOqreIBlADrgHQ3/nPgrnrmeQa4oAnr7ASsdc9pbjitGdoyDzjNDScDiW54OnCJG/4n8GM3/DGQAvwQuN6VPQ8MaOD6RgB98H7jNL0Fts3LwOVueBLwFiDAccBnrvwGF38KMN+VnQPceQht6O6GhwGbm7kNRwFra22j0WHqLcY7MLrHxS/A2w19XwAd3LO41+2SJsYdAHJD/i7+WPV3AfwE+KcbvgT4rxt+ADgN70fBX3Zl1wNTD2G9fuA94M2m/I2FLO9XwH1uOAMoAGLd+AHvWyAV+NANP+u2XwIwB4hp4DrDbuMmtKEz3m/wZrjxacCElt4WLfloNWcAeD9i/Bhwc+0JItJbROa4zDvHHWEfD5wL/Mll9/7uMctl3A9FZHA96zwDeFdVC1R1J/AucGZTGiHeGUlAVd8FUNUiVd0nIgKcCrzkqk4Dqo6Ug0AckAiUi8i3gK2quqoh61TVr1R1fVPirouIpODF/Yormgz8Sz2fAh1FpBveD28n4LUjKCIB4CbgT7WWd62IXFtHG7a40WwgXkTimrEpl+Il1YaIwW0L4DLgTff+qJeqFrrBABCL9+PjTSHukeTeQx2AqtdpMt77CLz31QRXp2pbVL2fOuIls3/VWLDI3SJybh3rvR4vgeU2Mf4qCqS4+JLxEkDFQeoHgVhXPwGvTbcCD6tqeVUlEekuIm82U4z16Qd8o6p5bnw28B033KRtETGRzkAh2bUI7829Hi/7V58BAK/hMibeL96/4oafIeToBO/oYIAbPhZ4zw2fC9wdZp0/B34dMv5/wM/D1LsVWBTm8XCYulOA14H/AV/h7QD9QDqwOqReT2CZGz4N+MK1M5VDOOKste711HEGAAyqow2LgI4HWeblwEsh468DJ9Z6zUe7uN8AFgIT8M4IpjbyvXABMLuOaQ/W0Ybb6lnmGmBYyPg8YKmb9/8AceWXue32H7yzmQYfcYYs+21gJ/Ac4A8z/ZQ62vDxQV6PQmAr8EHVMoFlQFatNqYDvVz7PgGOxjsKPekQ4u8BvO/et89QxxkA8N862nF5mLopwFzXhiLg2yHT1gFfur+Ba0LKf+GW92egG/DaIW6HsNu4sdsCr5cgB+9sO4CXIF9ryW3R0o+IBxDyghW557vdxgpNAPlVf4R4R2f5brj6zYl3VFFcayOuqGedt3JgArilie24ANiNd7RQ9Sa5Cu+0t3YCWBpm/qnAjXjdKy8Bj+O6kBqw7vU0cxcQXnfPd0LG3+DABDCq1jxpwDtumzzu2jGugesb6v54+jdjG46t/VoDPdxzios13E7rTrwju3NdGx4EfA1cZ7zb9qc1MfYY9xr3xzsT+FvVexbvTKn2TqdzrfmPAF4AugD/xttpD6xnnS8Cx7nh6r+xJrbjAvf6iYtpHfu7y6q6/jLxuuDGh5n/CbxuwqvxulJ/3YB11ruNG9GOc4DP8HbofwZmtOS2aOlHgNbnL3hHA08fpE6402ofsEtVhx/CunKAk0PGs/CydQ0icivwvTDzf6CqN4RZ5lequtbN+wrezvwpvO6SgKpWuHVtCZ3RXRSaitc19Q7ezue7bt2PH0K7DiAig/DecOGcrKq7wszTGRgLnBdSnIOXvKoc0A7gN3h96JfiHdU9B7yKd7R1sBizgBl4f6hr6qjzYB3LeUFV761j0ZdQq/tHVTe75z0i8hxeO0MvNnYHxqjqb0VkATDOtWkCXlfhQalqiYjMxNuGNeqLyCl4O8Pa9qnq8bXKhrvlrXHzTgduc9OqtkWO63JLxetaCXUP8Gu8M7Jn8Q4S7iT8+7nKaOAFrweDdGCSiFSo6iuhlUTkv3hnlrU9oKq1uziuAO5Vb0+4WkTWAYOBBeq6/lQ1V0Rm4G2LD0LWM8INfgM8pKrjReQFERmgB+kmrW8bu2UfyrZAVV/DO1NHRK4BKt2kltoWLarVJQBVLXBv8qvwdprgXSS9BC9rfg/4yJXvwcvuqGqhiKwTkQt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       "outputs": [
        {
         "data": {
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        {
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\n",
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     "7fd4f80efab04dcca07e5dd4191c6f0a": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "8350161d56e94ae8a2fdbcbddf1e7883": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "SliderStyleModel",
      "state": {
       "description_width": ""
      }
     },
     "8504797c7b85418983a10eee6c9d45da": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {
       "height": "350px"
      }
     },
     "861cf0719b6248d4a837256236e6cd22": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_d07fd38f8f7045a385e96eb33b1bd16d",
       "outputs": [
        {
         "data": {
          "image/png": 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dupSRI0fWGB84cCB+f2Q/J2vfBWSMMS0sOzub888/H3fnJEVFRZx99tkRjsoSgDEmihw17ahmX+bSqUsPOn3Tpk1kZGTU6O//6U9/Wv2jL1dffTVPPPFEs8fVEJYAjDFRo76ddUsI98Mvy5cvZ/Lkyezbt4/Vq1dzxx13sHz5cmbMmHFYY7NrAMYY04KWLl3KkCFDapRlZ2dz9NFH8+WXX3LWWWdxzz33kJSUdNhjswRgjDEtqHYCKCgoQFXp0qULn3/+Oeeccw5ARC4IWxeQMca0oNo//NKpUydyc3MBryvohhtuID8/n0h8J5olAGOMiZDHH38cgPT0dO6///7Dvn7rAjLGmChlCcAYY6KUJQBjjIlSlgCMMe2aatjfpGpTWqoNlgCMMe1WfHw8O3bsaNNJQFXZsWMH8fHxzb5suwvIGNNuZWVlkZOTQ1v/3fH4+HiysrKafbmWAIwx7VZMTAx9+/aNdBitlnUBGWNMlLIEYIwxUaohvwn8lIjkisiykLI/ichKEVkiIjNEpGPItNtFZLWIfC0iZ7RU4MYYY5qmIWcAzwBn1ip7FximqkcD3wC3A4jIEOASYKib5xERiexP3hhjjAmrIT8K/wFQUKvsHVWtcKOfAlWXpycDL6hqqaquA1YDY5sxXmOMMc2kOa4BXAm85YZ7AJtCpuW4MmOMMa1MkxKAiNwBVABV33cqYaqF/QSGiFwjIgtFZGFbv0fXGGPaokYnABGZCpwNfE/3f8wuB+gZUi0L2BJuflV9TFVHq+roSHwPtjHGRLtGJQARORP4JXCuqu4LmTQTuERE4kSkLzAAWND0MI0xxjS3ej8JLCLPAycD6SKSA9yJd9dPHPCuiAB8qqrXqmq2iEwHluN1DV2nqpUtFbwxxpjGk9bwJUmjR4/WhQsXRjoMY4xpU0TkC1Ud3dj57ZPAxhgTpSwBGGNMlLIEYIwxUcoSgDHGRClLAMYYE6UsARhjTJSyBGCMMVHKEoAxxkQpSwDGGBOlLAEcxBcbCrj40U/I2bmv/srGGNPGWAI4iFnLtlFaEWTK3z9m/ur8SIdjjDHNqt4vg4tmH63ewf+bMozSikpufGERV5/Yl2vG98N9AZ4xxrRpdgZQh7w9peTs3McxWakc3z+dV647gTeWbuWnz3/F3tKK+hdgjDGtnCWAOny8Jp/j+nUm4Pdeoh4dE5j+o3Ekxvg5/5GPWZ+/N8IRGmNM01gCqMP81fmceER6jbL4GD9/vOBovj+uNxf882PmrsyNUHTGGNN0lgDCUFU+WpXPCbUSAICIcNlxvXn0slHc/r+lPDxnFcFg5H9TwRhjDpUlgDDW79hHUKF/RlKddUb17sTMn57A+9/kcc2/v6CwpPwwRmiMMU1nCSCMj1Z7R/+yrwCWvQzBYNh6mR3ief6Hx9EtNZ4pf5vPss27D3OkxhjTeJYAwpi/Kp8TB3QGfwx88nd4+izIXRm2bmzAx++mDOOGCQP4wdML+P2bK9hXZncJGWNav3oTgIg8JSK5IrIspKyTiLwrIqvcc1rItNtFZLWIfC0iZ7RU4C2lMqh8snYHJ/RPh+3L4Mp34KgL4JlJsH15nfNNGdGDt28aT96eUk5/8APmfW0XiI0xrVtDzgCeAc6sVXYbMEdVBwBz3DgiMgS4BBjq5nlERPzNFu1hsHTzbrp2iCezdCO8dCWID8b+EK5bAJlHQvYrsP6jsPN2To7jwYuH8/vzjuL/Xl3GjS98RX5R6WFugTHGNEy9CUBVPwAKahVPBqa54WnAlJDyF1S1VFXXAauBsc0U62Ex3/X/kz0DhkwBn3uJktJBBGIS4H/XwMzroXhn2GWMH5jBOzedRNfUeM78ywdMX7gJVbtTyBjTujT2GkAXVd0K4J4zXXkPYFNIvRxXdgARuUZEForIwry8vEaG0fw+qur/z54BQ887sMLAM+Ann0IgHt78RZ3LSYj1c/tZRzLtyrH859MNXPr4p6zNK2rByI0x5tA090XgcF+SE/bQV1UfU9XRqjo6IyOjmcNonOKyShbn7GJsn05w+u8ga0z4ivEdYNKfYMo/oCgXXvwB7FwfturQ7qnM+MkJnD6kK9/5x8f87b1VlFWEv6vIGGMOp8YmgO0i0g3APVdd8cwBeobUywK2ND68w+vz9QUM7d6B5N3fQK9x+7t/6uIPQEIadD0KHjsF3vt/ULzrwGo+4coT+/L6Dd/iy427OOuhD3hjyVb7AJkxJqIamwBmAlPd8FTg1ZDyS0QkTkT6AgOABU0L8fD5aHU+J/TvDNMvh7yvGzaTPwa+dQtcMw+KtkPJbijKC5sIenRM4Mmpo/n1t4fw6AdrmPTwh7y11BKBMSYyGnIb6PPAJ8AgEckRkauAe4HTRGQVcJobR1WzgenAcmAWcJ2qVrZU8M3to1X5nNY5DyrLoMfIQ5s5rTec+1fvedXb8NeRMO8+LyGEEBFOGZzJq9edwK1nDOLv81bz7b9+xNvZ2+xCsTHmsJLWsNMZPXq0Lly4MKIx7Cgq5eQ/zWPRiZ/gJwin3d3EBa6BD/4EG+bD9V96ZwphqCqzV+Ty4LvfIAI3TRzIxCMz7TcHjDH1EpEvVHV0o+e3BOB5bfEWXl20mSdOj4X4VEjr0zwLLt4FCR2920Y79oZjfwRxKQdUU1Xezt7OX2Z/Q2zAx00TB3DKIEsExpi6NTUB2FdBOPNX5zOxp0JSRvPt/MHb+QOMux7yVsJDw+HzJw+oJiKcOawrb97wLX58Un/ue+trpjzyMbOWbaW80u4aMsY0PzsDwDv6PvG+ubw2+B06JSfAxDtbbmW5K2HnOhh0Fsz+LfQ7GfqO9z5kFiIYVGZlb+OZ+etZv2MvF43uySVje5KVlthysRlj2pSmngHYbwIDGwv2UV5RSdr6N+CS51p2ZZmDvUcwCCndYNZtUFEKp/zK+84hx+cTJh3VjUlHdWPV9j08t2Aj5/z1I47p2ZHvju3FqYMzq3+tzBhjGsPOAID/fLqB/JUfc9Oe++GnCw84Gm9RqrBpgXfnUe/jvYQwZDL0PuGAOErKK3l9yVae+2wDW3aVcNGYnlwypifdOyYcvniNMa2GnQE0g/mr8zl7wGDo8fDh3fmDt75ex3rDFaXQqR+8/jNAYeJvYfCk6qrxMX4uGJXFBaOyWLmtkOc+28hZD33I6N5pXDq2F+MHZhAbsLMCY0zDRP0ZQGVQGXX328y+LJP0fiMOfwIIRxU2fuJ931DmkfDC97zvIBp8NqTW/GqlfWUVvLZ4C9MX5rA6t4hTB2dyxtCunDQwg4TYNvVFrMaYQ2S3gTbRkpxdPPncCzyU9DRc91lEYjioynJY9S6seA2+eQtOuBFOvBkKt0KHbjWqbi8s4Z3sbby1bBtLc3Zz4oB0zhzWlVMHZ5ISH/5zCMaYtssSQBM9Mm81I7Pv47ihR8DJv4xIDA1WWQ5lRRCTCA+PgPiOcOQ5MOx8yBhUo2rB3jJmL9/OrOxtLFhXwJg+aZw1rBsTh3ShU1JshBpgjGlOdg2giT5elcuVRfNg6M8jHUr9/DHel88B3LQMcj6HFTNh7fteAnjvHu8Ooz7j6ZScwUVjenLRmJ7sKSnnvZW5vJ29jd+9vpzB3VIY1z+d4/t3ZkSvjsQFrKvImGgU1QmgpLySZZsK0PPuOeAIutXz+byLx1UXkFW95LDkRXj9Zu9OonP/ClsWkZLWm8nDezB5eA+Kyyr5fH0BH6/ZwR/eWsnq7XsY3qsjx/dP57h+nTk6K5UYu73UmKgQ1Qng8/UFnJhRTMLR50c6lKYTgXE/8R6VFVDsfsRtweOw/BXo3B8Gn03CSb9g/BGdGT/Q+w2GwpJyFqz1EsKvX1lGTsE+RvVJ4/j+nRnXL53B3VIsIRjTTkV1Api/ajv3Ff4Cdo30dpDthT8Aye5H2qb8Hc5+EDZ/AXvcTzO8ci1s/hK6j6BDj5FMHHM1E4d0AbxrB5+u3cEna3YwfeEiNu8s5shuKRyd1ZGjs1I5OiuVfunJ+Hyt4G4pY0yTRHUC2L3yfe/TuO1p5x9OIBZ6j9s/PvkRyP8atnwFuSvAF4BPHoGv/kOn7iOY1H04k07/DiQOY09JOcs2F7J08y7mrMzlL7NXUbC3jKHdO7iE4CWGXp0S7YvrjGljojYBFOwtY/juucRP+E6kQzn8/AHoMtR7VBlztZcktnzlnR0MmgTr55Pyxs8YlzGIcRmDYcJk6HIKOwuLWLqtmKWbd/Pa4i38/s0VFJVUcESXZAZkJjMgM6V6uHtqgp0tGNNKRW0C+GTNDnK6TsB/zLmRDqV1CMRC9xHeY/SVXllSOnznCe/X0fK+htIiKNtH2sNHML5DN8ZnDIajz4HLv8uunJWs3RNgxe4Aq3L38v43eazK3cOekgqOyEyufgzITKFP50Sy0hLtg2rGRFjUJoBFK1aSdeT4Az5Za0IE4rzfO+56VM3y2zdBwVrv663jOgDQ8ZN7GblmLiODFdBjFFw9E9a8R/HWtWwmk9Vlnflqj49n1xWwccc+cnYVk5oQQ8+0BHp1SqRn1SMtkZ6dEuiWmoDfzhyMaVFRmwCO/uZvHJt6HDC03rqmFn+Md9ts6K2zFz7jPRfvgr153nAwSMKu1Ryxaw5H7NzAmZe/Ars2wqw70e7d2Befyfqsyaz094a1c1mzLYm3ipJZsdNHQXE5XTvE07VDPJkd4rzh1HgyXVlVeXyMnUUY01hNSgAicjNwNaDAUuAKIBH4L9AHWA9cpKo7mxRlM9uYu5tvVX5G6rEPRDqU9ieh4/4fwRkw0XuEik+Fbz+A7NlC0p5tDO2VydD0TFj2IuzZCnu2wcCJlEx5gtI3bqeiYD2FZansyE/jDZ1Kzups2L2RtfsSWL03gZLYjmR0SCIjJY5OSbF0To6lc1IsnZLiQoZj6ZwcR4f4gF2oNiZEoxOAiPQAbgCGqGqxiEwHLgGGAHNU9V4RuQ24DWhV37GwZsGb9I3vSce03pEOJfrEpUDWKGBUzfKpM/cPV5YT7/cTP+YS2LWBznvz6Vu2l9EnDoXsVfD5WxCTj8bkUzh5GrkV8fR48wpKilLYl5fMok5n8WH8qYze/G+2l5WzvTyBVaVpzK0YxsCEPaTHBwnEdyAmMZXExCQ6JMaSmhBT49EhIYYOCQGS47xHUlzAPg9h2p2mdgEFgAQRKcc78t8C3A6c7KZPA+ZRTwLYXZTPK5+/SkV8OnG710CwAgD1x1HWoQ+Bfdvwl+6url+a2g9fZSkxRZuryyoSu1AZ15G4nSury4IxSZQn9ySmaBO+8r3V5W9s2cfFx9xCn8a327Qkv/viuh4jvUeooVO8ByBAKpBaUQaZ/yOxZBedineRlZrF2ZmD4ZM+ULgFSnZBYiylp5xB+ezfE7v8RWTPHnwFRbw54R1i8r7i+IW/o1gS2ScJvJLyXT5mOFftfICiYByFlQEWV/RmFidwRuwSugb2orGJSGwSazocR6a/iAz/HvyxCcTEJSKJnYiLjSMx1k9CXICEGD+JsQESYv0kxPiJj/ERF+MnPrD/2X7cx0RCk74MTkRuBO4BioF3VPV7IrJLVTuG1Nmpqmlh5r0GuAYgtVf8qFH/N4bdvlR6VObg10oAyiSWbf5udAruIDlYVD3v5kAWsVpGRmVudVmBrzNFvmR6VWygqkXFkki+P4P0yjwSdF913Q0xnRiXdQx/PPn3JMUkNbr9pp0oL4Gi7VC6x/uyvY69vd+GXvw8lO+Dsr1ox96UDJpCxcd/RbYuobJkL8GKUhae8Cgd18xg4Mp/4qsswVdZxswj7ibXl8n12RdRIbGUSSzvJp3NtPjLuHXX3WRU5lGqATZrOj8L3sCZlfM4zf8lFRJDpS+Wp2IuJTmgnFc5i6AvBvXFsCJhJBuSjmLi3jcI+ED8seyNy2R92jh6l3xNx8p8fP4YxB/D9k5jSNS9dC7NwReIxecPUJ7cA43vQErxFvx+P35/AGKTIaEjccG9+AX8/hgCMQH8MfH4fULA58Pno8azXwS/X7xnn/fwCda1FiER+zZQEUkDXgYuBnYBLwIvAX9rSAIIdbi/DbSssox7PruHxbmLeejUh+jdwbqCTAsIVkJFiZdg/AHv+kf+aijbAxVlID7oOQbdnk3l9pWUlyGC3IkAABz4SURBVJVQUVZKYd8zKSsuInHl/whWlBGsKGNH5vHkp4+iz5f3IWV7oLKMwvgsvupzNQPX/5tuBZ9DsAIJVvLSEX+gS+FSTt78KKKV+IIVvJ5+FdnxI/j1hisRDeKjkq/ix/Johxu4dcedDC1fgk+DlEuAKcnPcV7pq/yk7Gm8mj5u8N3BZk3nOf0FQfURRHg+OJH7Ky7k2cD/o5cvF8VHjmZwpf6Gq3yvMUXeJ4ig+Phl4FZS2ccvKx9F8aEivBIzifdiT+YPxXcTp2Ugwjp/X55M/iEXFL/MUeVL3O9zCA90/BX9K9Zwzt6XUfHOlt5OOY+1cYO5tuBPgKDAmvihzE09j7N2PU+P8g0oQoUvlue73MKRexcyqmguiCDA3E4Xs8/fgUn5TwOgAmuSRrM09WQm5k0juaIAEPYG0pjb9QccuXs+/fd+4dYlfNjle8QFSzh2x4zqTb4q9QTWp4zklK1PEAiWAj52xXfjq4zzGLJzNl32rcI7d4X5Pa6kU8lGjiyY4+YWvu58KjsS+nL8Zi8mEchL7M+qzhMZmvs6qWVbvbeWBFiQdQW3nDE4YgngQuBMVb3KjV8OHAdMAE5W1a0i0g2Yp6oH/aa1SHwdtKry4jcv8vdFf+d3J/yO8VnjD+v6jWnVVEGDXhLTSvC7rxAvLfSmBSu924TjO6CFW6gsL6OysgLET0WHngT3bEP37kCDQSqDlZSnHUGwvAxfwSoIBlGtpDSpO+VJ3Ynb/CkarECDQcpjkilOP4aY/Gxi9m4j6OLY3WM8/r15JOYvQVVRDbKn01EUx2eSvmkWqKKqFCd0Y2f6KDpt+4jYknzQIEHxk9PzHJJ3f0PHgsWoeu3b1uVbVPgT6JHzFqCgyq4OA8lLG0HvnNeIKS8EoMyfzNqsc0nf8QWdC5fjFsDq7pPxVxbTZ+ssb35ga8dR5KUexdAN/8YXLANgb1wXVnWdRO+8eaQVramuu7jnZaQU59A3by4QBGBd55PZmdiHURufRl29HQn9WJMxkcHbX6NDyRZQqBQ/C3pdxc2nDYpYAjgWeAoYg9cF9AywEOgF7Ai5CNxJVX9xsGVF8vcAFuUu4pZ5t3DRoIv44dE/xCfWF2uMaRua2gXU6L2dqn6G1+XzJd4toD7gMeBe4DQRWQWc5sZbreGZw3n+7Of5cPOH3Dz3ZorKiuqfyRhj2oGo/0WwKmWVZdy74F4Wbl/IQ6c8RN/UvhGNxxhj6hOxM4D2JtYfy2/G/YbLh1zOD2b9gLkb50Y6JGOMaVFR+1UQdblg4AUMSBvALfNuYWXBSn50zI/suoAxpl2yPVsYx2Qcwwtnv8AnWz/hujnXsW3vtkiHZIwxzc4SQB3SE9J58vQnOSbjGC567SKeXfEslcHKSIdljDHNxhLAQcT4Y7j2mGt55qxneGf9O1w+63JW7VwV6bCMMaZZWAJogH6p/Xj6zKeZ3H8yV719FQ9/+TCllaWRDssYY5rEEkAD+cTHRYMu4qVzX2Ld7nVcMPMCPt/2eaTDMsaYRrMEcIgyEzN58JQHuWnUTdz+4e3c9fFdFJYVRjosY4w5ZJYAGmlCrwnMmDyDgC/Aea+cxzvr36E1fKjOGGMayhJAE6TEpvDr437N/SffzyOLHuGKt6+wbiFjTJthCaAZjMgcwUvnvsT5A87nN/N/w9XvXM1XuV9FOixjjDkoSwDNJOALcG7/c5l53kwm9Z3EbR/cxrXvXsuSvCWRDs0YY8KyBNDMYnwxnD/gfF4/73VO7XUqt7x/C9fNuY7sHdmRDs0YY2qwBNBCYvwxXDToIt447w1O7HEiN8y5gRveu4GVBSvrn9kYYw4DSwAtLNYfy6WDL+WN899gbNex/Hj2j7nxvRv5dOunBDUY6fCMMVHMfg/gMCuuKObV1a8y/ZvplFWWceHAC5ncfzId4zvWP7MxxoSI2I/CN6doSgBVVJXFeYt58ZsXmbtxLif1PIkLB17IiMwRiEikwzPGtAFNTQD2ewARIiIMzxzO8Mzh7C7dzaurX+XOj+8k4Atw4cALOaf/OaTEpkQ6TGNMO9akMwAR6Qg8AQzD+6n7K4Gvgf8CfYD1wEWquvNgy4nGM4BwVJWF2xcy/evpzN8yn4m9JnJu/3MZkTkCv88f6fCMMa1MRLuARGQa8KGqPiEisUAi8CugQFXvFZHbgDRV/eXBlmMJ4ED5xfm8svoVZq2bRX5xPqf2OpWJvScypusYYnwxkQ7PGNMKRCwBiEgHYDHQT0MWIiJfAyer6lYR6QbMU9VBB1uWJYCD21i4kdkbZzN7w2w27tnISVkncVrv0xjXfRxx/rhIh2eMiZBIJoDhwGPAcuAY4AvgRmCzqnYMqbdTVdPCzH8NcA1Ar169Rm3YsKFRcUSbbXu3MXvDbGZvnM03Bd9wYo8Tmdh7Iif2OJHEmMRIh2eMOYwimQBGA58CJ6jqZyLyEFAIXN+QBBDKzgAaJ784n/c2vsfsDbNZnLeYo9KPYmy3sYztOpZh6cMI+OwavzHtWSQTQFfgU1Xt48a/BdwGHIF1AR12e8r28OX2L/ls22cs2LqAzUWbGdllJGO7juXYbscyMG0gPrHP/RnTnkTsNlBV3SYim0RkkKp+DUzA6w5aDkwF7nXPrzZ2HabhUmJTOKnnSZzU8yQAdpbs5PNtn7Ng2wJe+uYldpXuYkzXMYztOpaRXUbSP7W/3VlkTJRr6l1Aw/FuA40F1gJX4H29xHSgF7ARuFBVCw62HDsDaHnb925nwbYFfLb1MxbnLSZ3Xy6DOw1maPpQhnUextD0ofRK6WUfQjOmDbFPAptGKSwrZPmO5SzLX1b9XFRexNDOQxnaeSjD0ocxLH0YXRK7WFIwppWyBGCaTX5xPst3LCc7P5tlO5aRnZ9NWWUZ/Tr2o3/H/vRL9Z77p/ana1JXSwzGRJh9FYRpNukJ6YzPGs/4rPHVZTtLdrJ291rW7FrD2t1r+WjzR6zdtZai8iL6pfarTg59O/QlKyWLHsk97HZUY9oISwDmoNLi0xgVP4pRXUbVKC8sK2TtrrXVyWHhtoVsLtrM5qLNJMUkkZWcRY+UHmQlZ5GVklU93iWxi92eakwrYV1AplkFNciO4h3kFOWQsydn//OeHDYXbaagpIDOCZ3JTMykS2IXMhMzyUzMJCMho8a4nUUYUz/rAjKtik98ZCRmkJGYwYjMEQdML6ssI3df7gGPlTtWsn3fdnL35ZJXnEesL5aMxAzS4tPoFN+p+pEWn0ZafBqd4zuTFpdGp4ROpMam2i2txjSCJQBzWMX6Y70uoZSsOuuoKoVlheTuy2VnyU4KSgsoKC5gZ+lO1uxaQ0FJAQUlBd60kgKKyopIik2iQ2yH/Y+4uoeTY5JJikkiKSaJ5JhkEgIJdkHbRCVLAKbVERFS41JJjUttUP2KYAV7yvZQWFZIYWmh9+yGd5ftpqC4gPW711eX7y3fW+NRWllKYiCxRlJIikkiMSaRhEBC9SM+EF89nBioOS0uEEe8P55Yfyzx/njiAnHE+b2HXfMwrZW9M02bF/AFqruGGqMiWMG+in3sLdtLUXlRdWLYV7GP4opiisuLveeKYgpLC9m2dxslFSXVZcUVxZRWllJSWUJZZRklFSWUVpZWP3z4vMQQ8BJErC+WWH8sMb4Yb9yVxfhj9pf5vOkx/hgCEvCefQFifOGfA74AAQng9/n3P7uygG//uF/8+x8+Pz7xEZAAPvHh9+0v94s3req56mHaF0sAJuoFfIHqLqLmpqpUBCtqJIiyyjLKgmWUV5ZTFiw7oKw8WE5ZZRnlwXIqghU1nksqSsKWVwQrqAhWUKmVVAYrKddyKoOV1WWh04MapCJYQVCDXn03T9VwMBikQvdPV1UqtRIAv/gRkRoJInRckOqy0MRRNa16WKR6vEY5Uj1v1XB1GT4Q8OGrUV7jGQlbBwhbr3ZZaF2gelrt4arxGnVD5q+u08B5D1YeuozaZU1lCcCYFiQi3pG9P4ZkkiMdTpPUTghBDdb5ULRG/drlVcOqSpBgjTpA9XxVdar+BTUISvU8NaaH1AtX5v0/sB5wwDxVFDfdTQutG6r29Kqy0PHQug2pV9e02vM1hSUAY0yDWDdQ63M1VzdpftuaxhgTpSwBGGNMlLIEYIwxUcoSgDHGRClLAMYYE6UsARhjTJSyBGCMMVGqyQlARPwi8pWIvO7GO4nIuyKyyj037vP5xhhjWlRznAHcCKwIGb8NmKOqA4A5btwYY0wr06QEICJZwLeBJ0KKJwPT3PA0YEpT1mGMMaZlNPUM4C/AL4BgSFkXVd0K4J4zw80oIteIyEIRWZiXl9fEMIwxxhyqRicAETkbyFXVLxozv6o+pqqjVXV0RkZGY8MwxhjTSE35MrgTgHNFZBIQD3QQkf8A20Wkm6puFZFuQG5zBGqMMaZ5NfoMQFVvV9UsVe0DXAK8p6rfB2YCU121qcCrTY7SGGNMs2uJzwHcC5wmIquA09y4McaYVqZZfg9AVecB89zwDmBCcyzXGGNMy7FPAhtjTJSyBGCMMVHKEoAxxkQpSwDGGBOlLAEYY0yUsgRgjDFRyhKAMcZEKUsAxhgTpSwBGGNMlLIEYIwxUcoSgDHGRClLAMYYE6UsARhjTJSyBGCMMVHKEoAxxkQpSwDGGBOlLAEYY0yUsgRgjDFRqtEJQER6ishcEVkhItkicqMr7yQi74rIKvec1nzhGmOMaS5NOQOoAG5R1SOB44DrRGQIcBswR1UHAHPcuDHGmFam0QlAVbeq6pdueA+wAugBTAamuWrTgClNDdIYY0zza5ZrACLSBxgBfAZ0UdWt4CUJILOOea4RkYUisjAvL685wjDGGHMImpwARCQZeBm4SVULGzqfqj6mqqNVdXRGRkZTwzDGGHOImpQARCQGb+f/rKr+zxVvF5Fubno3ILdpIRpjjGkJTbkLSIAngRWq+kDIpJnAVDc8FXi18eEZY4xpKYEmzHsCcBmwVEQWubJfAfcC00XkKmAjcGHTQjTGGNMSGp0AVPUjQOqYPKGxyzXGGHN42CeBjTEmSlkCMMaYKGUJwBhjopQlAGOMiVKWAIwxJkpZAjDGmChlCcAYY6KUJQBjjIlSoqqRjgERyQM2NPNi04H8Zl5mpLW3Nll7Wr/21qb21p5BqprS2Jmb8lUQzUZVm/3rQEVkoaqObu7lRlJ7a5O1p/Vrb21qj+1pyvzWBWSMMVHKEoAxxkSp9pwAHot0AC2gvbXJ2tP6tbc2WXtCtIqLwMYYYw6/9nwGYIwx5iAsARhjTJRqFwlARAaJyKKQR6GI3CQinUTkXRFZ5Z7TIh1rQxykPXeJyOaQ8kmRjrWhRORmEckWkWUi8ryIxLfV7QN1tqfNbh8AEbnRtSdbRG5yZW15G4VrT5vaRiLylIjkisiykLI6t4mI3C4iq0XkaxE5o97lt7drACLiBzYDxwLXAQWqeq+I3AakqeovIxrgIarVniuAIlW9P7JRHRoR6QF8BAxR1WIRmQ68CQyhDW6fg7SnD21w+wCIyDDgBWAsUAbMAn4M/JC2uY3qas/3aEPbSETGA0XAv1R1mCv7I2G2iYgMAZ7Ha3N3YDYwUFUr61p+uzgDqGUCsEZVNwCTgWmufBowJWJRNV5oe9qyAJAgIgEgEdhC294+4drTlh0JfKqq+1S1AngfOI+2u43qak+boqofAAW1iuvaJpOBF1S1VFXXAavxkkGd2mMCuAQvCwJ0UdWtAO45M2JRNV5oewB+KiJL3KlhmzgdV9XNwP3ARmArsFtV36GNbp+DtAfa4PZxlgHjRaSziCQCk4CetNFtRN3tgba7jarUtU16AJtC6uW4sjq1qwQgIrHAucCLkY6lOYRpzz+A/sBwvB3PnyMU2iFxf2STgb54p6ZJIvL9yEbVeAdpT5vcPgCqugK4D3gXr7tkMVAR0aCa4CDtabPbqAEkTNlB+/jbVQIAzgK+VNXtbny7iHQDcM+5EYuscWq0R1W3q2qlqgaBx6nn9K4VmQisU9U8VS0H/gccT9vdPmHb04a3DwCq+qSqjlTV8XjdDqtou9sobHva+jZy6tomOew/ywHIop6uyfaWAC6lZnfJTGCqG54KvHrYI2qaGu2p2ujOeXinuW3BRuA4EUkUEcG7rrGCtrt9wranDW8fAEQk0z33As7He++11W0Utj1tfRs5dW2TmcAlIhInIn2BAcCCgy2o3dwF5Pr5NgH9VHW3K+sMTAd64f3RXqiqtS+otEp1tOffeKeuCqwHflTVF9jaichvgYvxTsO/Aq4Gkmm72ydce56gjW4fABH5EOgMlAM/U9U5bfxvKFx72tTfkIg8D5yM9zXW24E7gVeoY5uIyB3AlXjvy5tU9a2DLr+9JABjjDGHpr11ARljjGkgSwDGGBOlLAEYY0yUsgRgjDFRyhKAMcZEKUsAxhgTpSwBGGNMlLIEYIwxUcoSgDHGRClLAMYYE6UsARhjTJSyBGCMMVHKEoAxxkQpSwDGGBOlLAEYY0yUsgRgjDFRyhKAMcZEqVaTAEREReTPIeM/F5G76plniogMaeJ6p4rIKveYWv8cDVpmLxF5R0RWiMhyEenjyvuKyGduXf8VkVhX/h0RyRaRD91P8CEi/UXkhQau76cistq9hunN1IYPRWSRe2wRkVdcuYjIw259S0RkpCvPEJGPRGSZiEwJWc6rItK9Aes7TUS+EJGl7vnUZmjD90LasEhEgiIy3E2bJyJfh0yr+v3Y610b3gzZPieKyAMNXOcsEVnstuc/RcTfDO241L0uS9zy0115nHsfrXbvqz6ufJB7DReLyDhXFhCR2e6nRhu63jEiUikiFzRDG1JF5LWQ1+aKkGnrXfsWicjCkPL7XJv/FVJ2mYjc2MB1ht3GTWzHxS6mbBH5Y0h5i26LFqOqreIBlADrgHQ3/nPgrnrmeQa4oAnr7ASsdc9pbjitGdoyDzjNDScDiW54OnCJG/4n8GM3/DGQAvwQuN6VPQ8MaOD6RgB98H7jNL0Fts3LwOVueBLwFiDAccBnrvwGF38KMN+VnQPceQht6O6GhwGbm7kNRwFra22j0WHqLcY7MLrHxS/A2w19XwAd3LO41+2SJsYdAHJD/i7+WPV3AfwE+KcbvgT4rxt+ADgN70fBX3Zl1wNTD2G9fuA94M2m/I2FLO9XwH1uOAMoAGLd+AHvWyAV+NANP+u2XwIwB4hp4DrDbuMmtKEz3m/wZrjxacCElt4WLfloNWcAeD9i/Bhwc+0JItJbROa4zDvHHWEfD5wL/Mll9/7uMctl3A9FZHA96zwDeFdVC1R1J/AucGZTGiHeGUlAVd8FUNUiVd0nIgKcCrzkqk4Dqo6Ug0AckAiUi8i3gK2quqoh61TVr1R1fVPirouIpODF/Yormgz8Sz2fAh1FpBveD28n4LUjKCIB4CbgT7WWd62IXFtHG7a40WwgXkTimrEpl+Il1YaIwW0L4DLgTff+qJeqFrrBABCL9+PjTSHukeTeQx2AqtdpMt77CLz31QRXp2pbVL2fOuIls3/VWLDI3SJybh3rvR4vgeU2Mf4qCqS4+JLxEkDFQeoHgVhXPwGvTbcCD6tqeVUlEekuIm82U4z16Qd8o6p5bnw28B033KRtETGRzkAh2bUI7829Hi/7V58BAK/hMibeL96/4oafIeToBO/oYIAbPhZ4zw2fC9wdZp0/B34dMv5/wM/D1LsVWBTm8XCYulOA14H/AV/h7QD9QDqwOqReT2CZGz4N+MK1M5VDOOKste711HEGAAyqow2LgI4HWeblwEsh468DJ9Z6zUe7uN8AFgIT8M4IpjbyvXABMLuOaQ/W0Ybb6lnmGmBYyPg8YKmb9/8AceWXue32H7yzmQYfcYYs+21gJ/Ac4A8z/ZQ62vDxQV6PQmAr8EHVMoFlQFatNqYDvVz7PgGOxjsKPekQ4u8BvO/et89QxxkA8N862nF5mLopwFzXhiLg2yHT1gFfur+Ba0LKf+GW92egG/DaIW6HsNu4sdsCr5cgB+9sO4CXIF9ryW3R0o+IBxDyghW557vdxgpNAPlVf4R4R2f5brj6zYl3VFFcayOuqGedt3JgArilie24ANiNd7RQ9Sa5Cu+0t3YCWBpm/qnAjXjdKy8Bj+O6kBqw7vU0cxcQXnfPd0LG3+DABDCq1jxpwDtumzzu2jGugesb6v54+jdjG46t/VoDPdxzios13E7rTrwju3NdGx4EfA1cZ7zb9qc1MfYY9xr3xzsT+FvVexbvTKn2TqdzrfmPAF4AugD/xttpD6xnnS8Cx7nh6r+xJrbjAvf6iYtpHfu7y6q6/jLxuuDGh5n/CbxuwqvxulJ/3YB11ruNG9GOc4DP8HbofwZmtOS2aOlHgNbnL3hHA08fpE6402ofsEtVhx/CunKAk0PGs/CydQ0icivwvTDzf6CqN4RZ5lequtbN+wrezvwpvO6SgKpWuHVtCZ3RXRSaitc19Q7ezue7bt2PH0K7DiAig/DecOGcrKq7wszTGRgLnBdSnIOXvKoc0A7gN3h96JfiHdU9B7yKd7R1sBizgBl4f6hr6qjzYB3LeUFV761j0ZdQq/tHVTe75z0i8hxeO0MvNnYHxqjqb0VkATDOtWkCXlfhQalqiYjMxNuGNeqLyCl4O8Pa9qnq8bXKhrvlrXHzTgduc9OqtkWO63JLxetaCXUP8Gu8M7Jn8Q4S7iT8+7nKaOAFrweDdGCSiFSo6iuhlUTkv3hnlrU9oKq1uziuAO5Vb0+4WkTWAYOBBeq6/lQ1V0Rm4G2LD0LWM8INfgM8pKrjReQFERmgB+kmrW8bu2UfyrZAVV/DO1NHRK4BKt2kltoWLarVJQBVLXBv8qvwdprgXSS9BC9rfg/4yJXvwcvuqGqhiKwTkQtV9UXX/3a0qi4+yOreBn4vImlu/HTg9jAx/YlafdkH8TmQJiIZ6vUVngosVFUVkbl4R0Iv4O3oX6017y/w3uDlIpKAl+iCeP2HiMgcvJ3j5gbGEtqGr3E7k0NwIfC6qpaElM0EfireHUrHArtVdWvVRBEZgHdE9754d9wUu3bEu+k/dfH8LXRFrm/0DeB2VZ1/kHYccI3oYETE59oxPqQsgNftlS8iMcDZeP25oX6Hd0YIXh9u7W2xUlVrXGMSkWQgRVW3unVMAj4M04a5NHxbbAaGhLyfTgNWuGkz8d5Hn+C9r95zO9iqeE7Cu5i+yh1cBPF2WFVt+APeDnhGrfj6hizjGbz3QI2dv6t3cQPbAN7F0wnAhyLSBS9xrBWRJLyzqj1u+HS8XoBQvwOuwTsbqrqrKggkikgPvGtSE0JnaOA2PtRtgYhkukSVhnfh9yI3qUnbImIiefpR6/SoKGS4C7CP/V1AffDuSFiCdzrcy5WfACzH67PtD/QFZuGdRi4HfuPqhb0G4KZdCax2jyuaqS2nuViX4p1CV93t0A9Y4Nb1IhAXMk93vD+0qvEL8U4r5+N1H/mADUBCmPXdgHcEUoF3NP5EM7VjHnBmrTIB/o53iruUWndZ4J2eV12HycRL3tm4biS8LoxLw6zr18BeanbhZTZDG04GPq1VloR3ZrLExfYQIX31eF0NT4aM3+TqzcK7yJ0OfB1mXV3wDgCqlvtXvBsCmtqGa/F2+kvwjj47u/J49z5a7d5X/Wptp3dx15KAI/HOrJcAJ7iy16mna47m6wLqjndWuxSvv/z7IX8Ti90jG7ij1nxTCLmTDLjfLeNZNz4aeDvM+g66jZvQjufx9i3LCbnDq6nbIlKPqgtfppUTkWHAlar6s0jH0hQi8jpwvqqWRTqWxhKRs/H+wB+OdCxNISJvq+oZkY6jKdwZ5UZVnRnpWNoiSwDGGBOlWtPnAIwxxhxGlgCMMSZKWQIwxpgoZQnAGGOilCUAY4yJUpYAjDEmSv1/45Tp+YtILs0AAAAASUVORK5CYII=\n",
          "text/plain": "<Figure size 432x288 with 1 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "88dae1626f2f4d639c172c735ba889cb": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "VBoxModel",
      "state": {
       "_dom_classes": [
        "widget-interact"
       ],
       "children": [
        "IPY_MODEL_d2f30bab9ea246859f9099b292a4e2ec",
        "IPY_MODEL_f42c40f689794db58578ae937087d340"
       ],
       "layout": "IPY_MODEL_b6546106db954bcd8e61c400ad2f468b"
      }
     },
     "8931b9a026bc4952940dd4ac66b413a9": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "89760a4601ba42709d09d83e0931bbb6": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "8ac47ba08fc2463095439b156accdc02": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_514ff957fbb1435e952f1176f6cfbb09",
       "outputs": [
        {
         "data": {
          "image/png": 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dupSRI0fWGB84cCB+f2Q/J2vfBWSMMS0sOzub888/H3fnJEVFRZx99tkRjsoSgDEmihw17ahmX+bSqUsPOn3Tpk1kZGTU6O//6U9/Wv2jL1dffTVPPPFEs8fVEJYAjDFRo76ddUsI98Mvy5cvZ/Lkyezbt4/Vq1dzxx13sHz5cmbMmHFYY7NrAMYY04KWLl3KkCFDapRlZ2dz9NFH8+WXX3LWWWdxzz33kJSUdNhjswRgjDEtqHYCKCgoQFXp0qULn3/+Oeeccw5ARC4IWxeQMca0oNo//NKpUydyc3MBryvohhtuID8/n0h8J5olAGOMiZDHH38cgPT0dO6///7Dvn7rAjLGmChlCcAYY6KUJQBjjIlSlgCMMe2aatjfpGpTWqoNlgCMMe1WfHw8O3bsaNNJQFXZsWMH8fHxzb5suwvIGNNuZWVlkZOTQ1v/3fH4+HiysrKafbmWAIwx7VZMTAx9+/aNdBitlnUBGWNMlLIEYIwxUaohvwn8lIjkisiykLI/ichKEVkiIjNEpGPItNtFZLWIfC0iZ7RU4MYYY5qmIWcAzwBn1ip7FximqkcD3wC3A4jIEOASYKib5xERiexP3hhjjAmrIT8K/wFQUKvsHVWtcKOfAlWXpycDL6hqqaquA1YDY5sxXmOMMc2kOa4BXAm85YZ7AJtCpuW4MmOMMa1MkxKAiNwBVABV33cqYaqF/QSGiFwjIgtFZGFbv0fXGGPaokYnABGZCpwNfE/3f8wuB+gZUi0L2BJuflV9TFVHq+roSHwPtjHGRLtGJQARORP4JXCuqu4LmTQTuERE4kSkLzAAWND0MI0xxjS3ej8JLCLPAycD6SKSA9yJd9dPHPCuiAB8qqrXqmq2iEwHluN1DV2nqpUtFbwxxpjGk9bwJUmjR4/WhQsXRjoMY4xpU0TkC1Ud3dj57ZPAxhgTpSwBGGNMlLIEYIwxUcoSgDHGRClLAMYYE6UsARhjTJSyBGCMMVHKEoAxxkQpSwDGGBOlLAEcxBcbCrj40U/I2bmv/srGGNPGWAI4iFnLtlFaEWTK3z9m/ur8SIdjjDHNqt4vg4tmH63ewf+bMozSikpufGERV5/Yl2vG98N9AZ4xxrRpdgZQh7w9peTs3McxWakc3z+dV647gTeWbuWnz3/F3tKK+hdgjDGtnCWAOny8Jp/j+nUm4Pdeoh4dE5j+o3Ekxvg5/5GPWZ+/N8IRGmNM01gCqMP81fmceER6jbL4GD9/vOBovj+uNxf882PmrsyNUHTGGNN0lgDCUFU+WpXPCbUSAICIcNlxvXn0slHc/r+lPDxnFcFg5H9TwRhjDpUlgDDW79hHUKF/RlKddUb17sTMn57A+9/kcc2/v6CwpPwwRmiMMU1nCSCMj1Z7R/+yrwCWvQzBYNh6mR3ief6Hx9EtNZ4pf5vPss27D3OkxhjTeJYAwpi/Kp8TB3QGfwx88nd4+izIXRm2bmzAx++mDOOGCQP4wdML+P2bK9hXZncJGWNav3oTgIg8JSK5IrIspKyTiLwrIqvcc1rItNtFZLWIfC0iZ7RU4C2lMqh8snYHJ/RPh+3L4Mp34KgL4JlJsH15nfNNGdGDt28aT96eUk5/8APmfW0XiI0xrVtDzgCeAc6sVXYbMEdVBwBz3DgiMgS4BBjq5nlERPzNFu1hsHTzbrp2iCezdCO8dCWID8b+EK5bAJlHQvYrsP6jsPN2To7jwYuH8/vzjuL/Xl3GjS98RX5R6WFugTHGNEy9CUBVPwAKahVPBqa54WnAlJDyF1S1VFXXAauBsc0U62Ex3/X/kz0DhkwBn3uJktJBBGIS4H/XwMzroXhn2GWMH5jBOzedRNfUeM78ywdMX7gJVbtTyBjTujT2GkAXVd0K4J4zXXkPYFNIvRxXdgARuUZEForIwry8vEaG0fw+qur/z54BQ887sMLAM+Ann0IgHt78RZ3LSYj1c/tZRzLtyrH859MNXPr4p6zNK2rByI0x5tA090XgcF+SE/bQV1UfU9XRqjo6IyOjmcNonOKyShbn7GJsn05w+u8ga0z4ivEdYNKfYMo/oCgXXvwB7FwfturQ7qnM+MkJnD6kK9/5x8f87b1VlFWEv6vIGGMOp8YmgO0i0g3APVdd8cwBeobUywK2ND68w+vz9QUM7d6B5N3fQK9x+7t/6uIPQEIadD0KHjsF3vt/ULzrwGo+4coT+/L6Dd/iy427OOuhD3hjyVb7AJkxJqIamwBmAlPd8FTg1ZDyS0QkTkT6AgOABU0L8fD5aHU+J/TvDNMvh7yvGzaTPwa+dQtcMw+KtkPJbijKC5sIenRM4Mmpo/n1t4fw6AdrmPTwh7y11BKBMSYyGnIb6PPAJ8AgEckRkauAe4HTRGQVcJobR1WzgenAcmAWcJ2qVrZU8M3to1X5nNY5DyrLoMfIQ5s5rTec+1fvedXb8NeRMO8+LyGEEBFOGZzJq9edwK1nDOLv81bz7b9+xNvZ2+xCsTHmsJLWsNMZPXq0Lly4MKIx7Cgq5eQ/zWPRiZ/gJwin3d3EBa6BD/4EG+bD9V96ZwphqCqzV+Ty4LvfIAI3TRzIxCMz7TcHjDH1EpEvVHV0o+e3BOB5bfEWXl20mSdOj4X4VEjr0zwLLt4FCR2920Y79oZjfwRxKQdUU1Xezt7OX2Z/Q2zAx00TB3DKIEsExpi6NTUB2FdBOPNX5zOxp0JSRvPt/MHb+QOMux7yVsJDw+HzJw+oJiKcOawrb97wLX58Un/ue+trpjzyMbOWbaW80u4aMsY0PzsDwDv6PvG+ubw2+B06JSfAxDtbbmW5K2HnOhh0Fsz+LfQ7GfqO9z5kFiIYVGZlb+OZ+etZv2MvF43uySVje5KVlthysRlj2pSmngHYbwIDGwv2UV5RSdr6N+CS51p2ZZmDvUcwCCndYNZtUFEKp/zK+84hx+cTJh3VjUlHdWPV9j08t2Aj5/z1I47p2ZHvju3FqYMzq3+tzBhjGsPOAID/fLqB/JUfc9Oe++GnCw84Gm9RqrBpgXfnUe/jvYQwZDL0PuGAOErKK3l9yVae+2wDW3aVcNGYnlwypifdOyYcvniNMa2GnQE0g/mr8zl7wGDo8fDh3fmDt75ex3rDFaXQqR+8/jNAYeJvYfCk6qrxMX4uGJXFBaOyWLmtkOc+28hZD33I6N5pXDq2F+MHZhAbsLMCY0zDRP0ZQGVQGXX328y+LJP0fiMOfwIIRxU2fuJ931DmkfDC97zvIBp8NqTW/GqlfWUVvLZ4C9MX5rA6t4hTB2dyxtCunDQwg4TYNvVFrMaYQ2S3gTbRkpxdPPncCzyU9DRc91lEYjioynJY9S6seA2+eQtOuBFOvBkKt0KHbjWqbi8s4Z3sbby1bBtLc3Zz4oB0zhzWlVMHZ5ISH/5zCMaYtssSQBM9Mm81I7Pv47ihR8DJv4xIDA1WWQ5lRRCTCA+PgPiOcOQ5MOx8yBhUo2rB3jJmL9/OrOxtLFhXwJg+aZw1rBsTh3ShU1JshBpgjGlOdg2giT5elcuVRfNg6M8jHUr9/DHel88B3LQMcj6HFTNh7fteAnjvHu8Ooz7j6ZScwUVjenLRmJ7sKSnnvZW5vJ29jd+9vpzB3VIY1z+d4/t3ZkSvjsQFrKvImGgU1QmgpLySZZsK0PPuOeAIutXz+byLx1UXkFW95LDkRXj9Zu9OonP/ClsWkZLWm8nDezB5eA+Kyyr5fH0BH6/ZwR/eWsnq7XsY3qsjx/dP57h+nTk6K5UYu73UmKgQ1Qng8/UFnJhRTMLR50c6lKYTgXE/8R6VFVDsfsRtweOw/BXo3B8Gn03CSb9g/BGdGT/Q+w2GwpJyFqz1EsKvX1lGTsE+RvVJ4/j+nRnXL53B3VIsIRjTTkV1Api/ajv3Ff4Cdo30dpDthT8Aye5H2qb8Hc5+EDZ/AXvcTzO8ci1s/hK6j6BDj5FMHHM1E4d0AbxrB5+u3cEna3YwfeEiNu8s5shuKRyd1ZGjs1I5OiuVfunJ+Hyt4G4pY0yTRHUC2L3yfe/TuO1p5x9OIBZ6j9s/PvkRyP8atnwFuSvAF4BPHoGv/kOn7iOY1H04k07/DiQOY09JOcs2F7J08y7mrMzlL7NXUbC3jKHdO7iE4CWGXp0S7YvrjGljojYBFOwtY/juucRP+E6kQzn8/AHoMtR7VBlztZcktnzlnR0MmgTr55Pyxs8YlzGIcRmDYcJk6HIKOwuLWLqtmKWbd/Pa4i38/s0VFJVUcESXZAZkJjMgM6V6uHtqgp0tGNNKRW0C+GTNDnK6TsB/zLmRDqV1CMRC9xHeY/SVXllSOnznCe/X0fK+htIiKNtH2sNHML5DN8ZnDIajz4HLv8uunJWs3RNgxe4Aq3L38v43eazK3cOekgqOyEyufgzITKFP50Sy0hLtg2rGRFjUJoBFK1aSdeT4Az5Za0IE4rzfO+56VM3y2zdBwVrv663jOgDQ8ZN7GblmLiODFdBjFFw9E9a8R/HWtWwmk9Vlnflqj49n1xWwccc+cnYVk5oQQ8+0BHp1SqRn1SMtkZ6dEuiWmoDfzhyMaVFRmwCO/uZvHJt6HDC03rqmFn+Md9ts6K2zFz7jPRfvgr153nAwSMKu1Ryxaw5H7NzAmZe/Ars2wqw70e7d2Befyfqsyaz094a1c1mzLYm3ipJZsdNHQXE5XTvE07VDPJkd4rzh1HgyXVlVeXyMnUUY01hNSgAicjNwNaDAUuAKIBH4L9AHWA9cpKo7mxRlM9uYu5tvVX5G6rEPRDqU9ieh4/4fwRkw0XuEik+Fbz+A7NlC0p5tDO2VydD0TFj2IuzZCnu2wcCJlEx5gtI3bqeiYD2FZansyE/jDZ1Kzups2L2RtfsSWL03gZLYjmR0SCIjJY5OSbF0To6lc1IsnZLiQoZj6ZwcR4f4gF2oNiZEoxOAiPQAbgCGqGqxiEwHLgGGAHNU9V4RuQ24DWhV37GwZsGb9I3vSce03pEOJfrEpUDWKGBUzfKpM/cPV5YT7/cTP+YS2LWBznvz6Vu2l9EnDoXsVfD5WxCTj8bkUzh5GrkV8fR48wpKilLYl5fMok5n8WH8qYze/G+2l5WzvTyBVaVpzK0YxsCEPaTHBwnEdyAmMZXExCQ6JMaSmhBT49EhIYYOCQGS47xHUlzAPg9h2p2mdgEFgAQRKcc78t8C3A6c7KZPA+ZRTwLYXZTPK5+/SkV8OnG710CwAgD1x1HWoQ+Bfdvwl+6url+a2g9fZSkxRZuryyoSu1AZ15G4nSury4IxSZQn9ySmaBO+8r3V5W9s2cfFx9xCn8a327Qkv/viuh4jvUeooVO8ByBAKpBaUQaZ/yOxZBedineRlZrF2ZmD4ZM+ULgFSnZBYiylp5xB+ezfE7v8RWTPHnwFRbw54R1i8r7i+IW/o1gS2ScJvJLyXT5mOFftfICiYByFlQEWV/RmFidwRuwSugb2orGJSGwSazocR6a/iAz/HvyxCcTEJSKJnYiLjSMx1k9CXICEGD+JsQESYv0kxPiJj/ERF+MnPrD/2X7cx0RCk74MTkRuBO4BioF3VPV7IrJLVTuG1Nmpqmlh5r0GuAYgtVf8qFH/N4bdvlR6VObg10oAyiSWbf5udAruIDlYVD3v5kAWsVpGRmVudVmBrzNFvmR6VWygqkXFkki+P4P0yjwSdF913Q0xnRiXdQx/PPn3JMUkNbr9pp0oL4Gi7VC6x/uyvY69vd+GXvw8lO+Dsr1ox96UDJpCxcd/RbYuobJkL8GKUhae8Cgd18xg4Mp/4qsswVdZxswj7ibXl8n12RdRIbGUSSzvJp3NtPjLuHXX3WRU5lGqATZrOj8L3sCZlfM4zf8lFRJDpS+Wp2IuJTmgnFc5i6AvBvXFsCJhJBuSjmLi3jcI+ED8seyNy2R92jh6l3xNx8p8fP4YxB/D9k5jSNS9dC7NwReIxecPUJ7cA43vQErxFvx+P35/AGKTIaEjccG9+AX8/hgCMQH8MfH4fULA58Pno8azXwS/X7xnn/fwCda1FiER+zZQEUkDXgYuBnYBLwIvAX9rSAIIdbi/DbSssox7PruHxbmLeejUh+jdwbqCTAsIVkJFiZdg/AHv+kf+aijbAxVlID7oOQbdnk3l9pWUlyGC3IkAABz4SURBVJVQUVZKYd8zKSsuInHl/whWlBGsKGNH5vHkp4+iz5f3IWV7oLKMwvgsvupzNQPX/5tuBZ9DsAIJVvLSEX+gS+FSTt78KKKV+IIVvJ5+FdnxI/j1hisRDeKjkq/ix/Johxu4dcedDC1fgk+DlEuAKcnPcV7pq/yk7Gm8mj5u8N3BZk3nOf0FQfURRHg+OJH7Ky7k2cD/o5cvF8VHjmZwpf6Gq3yvMUXeJ4ig+Phl4FZS2ccvKx9F8aEivBIzifdiT+YPxXcTp2Ugwjp/X55M/iEXFL/MUeVL3O9zCA90/BX9K9Zwzt6XUfHOlt5OOY+1cYO5tuBPgKDAmvihzE09j7N2PU+P8g0oQoUvlue73MKRexcyqmguiCDA3E4Xs8/fgUn5TwOgAmuSRrM09WQm5k0juaIAEPYG0pjb9QccuXs+/fd+4dYlfNjle8QFSzh2x4zqTb4q9QTWp4zklK1PEAiWAj52xXfjq4zzGLJzNl32rcI7d4X5Pa6kU8lGjiyY4+YWvu58KjsS+nL8Zi8mEchL7M+qzhMZmvs6qWVbvbeWBFiQdQW3nDE4YgngQuBMVb3KjV8OHAdMAE5W1a0i0g2Yp6oH/aa1SHwdtKry4jcv8vdFf+d3J/yO8VnjD+v6jWnVVEGDXhLTSvC7rxAvLfSmBSu924TjO6CFW6gsL6OysgLET0WHngT3bEP37kCDQSqDlZSnHUGwvAxfwSoIBlGtpDSpO+VJ3Ynb/CkarECDQcpjkilOP4aY/Gxi9m4j6OLY3WM8/r15JOYvQVVRDbKn01EUx2eSvmkWqKKqFCd0Y2f6KDpt+4jYknzQIEHxk9PzHJJ3f0PHgsWoeu3b1uVbVPgT6JHzFqCgyq4OA8lLG0HvnNeIKS8EoMyfzNqsc0nf8QWdC5fjFsDq7pPxVxbTZ+ssb35ga8dR5KUexdAN/8YXLANgb1wXVnWdRO+8eaQVramuu7jnZaQU59A3by4QBGBd55PZmdiHURufRl29HQn9WJMxkcHbX6NDyRZQqBQ/C3pdxc2nDYpYAjgWeAoYg9cF9AywEOgF7Ai5CNxJVX9xsGVF8vcAFuUu4pZ5t3DRoIv44dE/xCfWF2uMaRua2gXU6L2dqn6G1+XzJd4toD7gMeBe4DQRWQWc5sZbreGZw3n+7Of5cPOH3Dz3ZorKiuqfyRhj2oGo/0WwKmWVZdy74F4Wbl/IQ6c8RN/UvhGNxxhj6hOxM4D2JtYfy2/G/YbLh1zOD2b9gLkb50Y6JGOMaVFR+1UQdblg4AUMSBvALfNuYWXBSn50zI/suoAxpl2yPVsYx2Qcwwtnv8AnWz/hujnXsW3vtkiHZIwxzc4SQB3SE9J58vQnOSbjGC567SKeXfEslcHKSIdljDHNxhLAQcT4Y7j2mGt55qxneGf9O1w+63JW7VwV6bCMMaZZWAJogH6p/Xj6zKeZ3H8yV719FQ9/+TCllaWRDssYY5rEEkAD+cTHRYMu4qVzX2Ld7nVcMPMCPt/2eaTDMsaYRrMEcIgyEzN58JQHuWnUTdz+4e3c9fFdFJYVRjosY4w5ZJYAGmlCrwnMmDyDgC/Aea+cxzvr36E1fKjOGGMayhJAE6TEpvDr437N/SffzyOLHuGKt6+wbiFjTJthCaAZjMgcwUvnvsT5A87nN/N/w9XvXM1XuV9FOixjjDkoSwDNJOALcG7/c5l53kwm9Z3EbR/cxrXvXsuSvCWRDs0YY8KyBNDMYnwxnD/gfF4/73VO7XUqt7x/C9fNuY7sHdmRDs0YY2qwBNBCYvwxXDToIt447w1O7HEiN8y5gRveu4GVBSvrn9kYYw4DSwAtLNYfy6WDL+WN899gbNex/Hj2j7nxvRv5dOunBDUY6fCMMVHMfg/gMCuuKObV1a8y/ZvplFWWceHAC5ncfzId4zvWP7MxxoSI2I/CN6doSgBVVJXFeYt58ZsXmbtxLif1PIkLB17IiMwRiEikwzPGtAFNTQD2ewARIiIMzxzO8Mzh7C7dzaurX+XOj+8k4Atw4cALOaf/OaTEpkQ6TGNMO9akMwAR6Qg8AQzD+6n7K4Gvgf8CfYD1wEWquvNgy4nGM4BwVJWF2xcy/evpzN8yn4m9JnJu/3MZkTkCv88f6fCMMa1MRLuARGQa8KGqPiEisUAi8CugQFXvFZHbgDRV/eXBlmMJ4ED5xfm8svoVZq2bRX5xPqf2OpWJvScypusYYnwxkQ7PGNMKRCwBiEgHYDHQT0MWIiJfAyer6lYR6QbMU9VBB1uWJYCD21i4kdkbZzN7w2w27tnISVkncVrv0xjXfRxx/rhIh2eMiZBIJoDhwGPAcuAY4AvgRmCzqnYMqbdTVdPCzH8NcA1Ar169Rm3YsKFRcUSbbXu3MXvDbGZvnM03Bd9wYo8Tmdh7Iif2OJHEmMRIh2eMOYwimQBGA58CJ6jqZyLyEFAIXN+QBBDKzgAaJ784n/c2vsfsDbNZnLeYo9KPYmy3sYztOpZh6cMI+OwavzHtWSQTQFfgU1Xt48a/BdwGHIF1AR12e8r28OX2L/ls22cs2LqAzUWbGdllJGO7juXYbscyMG0gPrHP/RnTnkTsNlBV3SYim0RkkKp+DUzA6w5aDkwF7nXPrzZ2HabhUmJTOKnnSZzU8yQAdpbs5PNtn7Ng2wJe+uYldpXuYkzXMYztOpaRXUbSP7W/3VlkTJRr6l1Aw/FuA40F1gJX4H29xHSgF7ARuFBVCw62HDsDaHnb925nwbYFfLb1MxbnLSZ3Xy6DOw1maPpQhnUextD0ofRK6WUfQjOmDbFPAptGKSwrZPmO5SzLX1b9XFRexNDOQxnaeSjD0ocxLH0YXRK7WFIwppWyBGCaTX5xPst3LCc7P5tlO5aRnZ9NWWUZ/Tr2o3/H/vRL9Z77p/ana1JXSwzGRJh9FYRpNukJ6YzPGs/4rPHVZTtLdrJ291rW7FrD2t1r+WjzR6zdtZai8iL6pfarTg59O/QlKyWLHsk97HZUY9oISwDmoNLi0xgVP4pRXUbVKC8sK2TtrrXVyWHhtoVsLtrM5qLNJMUkkZWcRY+UHmQlZ5GVklU93iWxi92eakwrYV1AplkFNciO4h3kFOWQsydn//OeHDYXbaagpIDOCZ3JTMykS2IXMhMzyUzMJCMho8a4nUUYUz/rAjKtik98ZCRmkJGYwYjMEQdML6ssI3df7gGPlTtWsn3fdnL35ZJXnEesL5aMxAzS4tPoFN+p+pEWn0ZafBqd4zuTFpdGp4ROpMam2i2txjSCJQBzWMX6Y70uoZSsOuuoKoVlheTuy2VnyU4KSgsoKC5gZ+lO1uxaQ0FJAQUlBd60kgKKyopIik2iQ2yH/Y+4uoeTY5JJikkiKSaJ5JhkEgIJdkHbRCVLAKbVERFS41JJjUttUP2KYAV7yvZQWFZIYWmh9+yGd5ftpqC4gPW711eX7y3fW+NRWllKYiCxRlJIikkiMSaRhEBC9SM+EF89nBioOS0uEEe8P55Yfyzx/njiAnHE+b2HXfMwrZW9M02bF/AFqruGGqMiWMG+in3sLdtLUXlRdWLYV7GP4opiisuLveeKYgpLC9m2dxslFSXVZcUVxZRWllJSWUJZZRklFSWUVpZWP3z4vMQQ8BJErC+WWH8sMb4Yb9yVxfhj9pf5vOkx/hgCEvCefQFifOGfA74AAQng9/n3P7uygG//uF/8+x8+Pz7xEZAAPvHh9+0v94s3req56mHaF0sAJuoFfIHqLqLmpqpUBCtqJIiyyjLKgmWUV5ZTFiw7oKw8WE5ZZRnlwXIqghU1nksqSsKWVwQrqAhWUKmVVAYrKddyKoOV1WWh04MapCJYQVCDXn03T9VwMBikQvdPV1UqtRIAv/gRkRoJInRckOqy0MRRNa16WKR6vEY5Uj1v1XB1GT4Q8OGrUV7jGQlbBwhbr3ZZaF2gelrt4arxGnVD5q+u08B5D1YeuozaZU1lCcCYFiQi3pG9P4ZkkiMdTpPUTghBDdb5ULRG/drlVcOqSpBgjTpA9XxVdar+BTUISvU8NaaH1AtX5v0/sB5wwDxVFDfdTQutG6r29Kqy0PHQug2pV9e02vM1hSUAY0yDWDdQ63M1VzdpftuaxhgTpSwBGGNMlLIEYIwxUcoSgDHGRClLAMYYE6UsARhjTJSyBGCMMVGqyQlARPwi8pWIvO7GO4nIuyKyyj037vP5xhhjWlRznAHcCKwIGb8NmKOqA4A5btwYY0wr06QEICJZwLeBJ0KKJwPT3PA0YEpT1mGMMaZlNPUM4C/AL4BgSFkXVd0K4J4zw80oIteIyEIRWZiXl9fEMIwxxhyqRicAETkbyFXVLxozv6o+pqqjVXV0RkZGY8MwxhjTSE35MrgTgHNFZBIQD3QQkf8A20Wkm6puFZFuQG5zBGqMMaZ5NfoMQFVvV9UsVe0DXAK8p6rfB2YCU121qcCrTY7SGGNMs2uJzwHcC5wmIquA09y4McaYVqZZfg9AVecB89zwDmBCcyzXGGNMy7FPAhtjTJSyBGCMMVHKEoAxxkQpSwDGGBOlLAEYY0yUsgRgjDFRyhKAMcZEKUsAxhgTpSwBGGNMlLIEYIwxUcoSgDHGRClLAMYYE6UsARhjTJSyBGCMMVHKEoAxxkQpSwDGGBOlLAEYY0yUsgRgjDFRqtEJQER6ishcEVkhItkicqMr7yQi74rIKvec1nzhGmOMaS5NOQOoAG5R1SOB44DrRGQIcBswR1UHAHPcuDHGmFam0QlAVbeq6pdueA+wAugBTAamuWrTgClNDdIYY0zza5ZrACLSBxgBfAZ0UdWt4CUJILOOea4RkYUisjAvL685wjDGGHMImpwARCQZeBm4SVULGzqfqj6mqqNVdXRGRkZTwzDGGHOImpQARCQGb+f/rKr+zxVvF5Fubno3ILdpIRpjjGkJTbkLSIAngRWq+kDIpJnAVDc8FXi18eEZY4xpKYEmzHsCcBmwVEQWubJfAfcC00XkKmAjcGHTQjTGGNMSGp0AVPUjQOqYPKGxyzXGGHN42CeBjTEmSlkCMMaYKGUJwBhjopQlAGOMiVKWAIwxJkpZAjDGmChlCcAYY6KUJQBjjIlSoqqRjgERyQM2NPNi04H8Zl5mpLW3Nll7Wr/21qb21p5BqprS2Jmb8lUQzUZVm/3rQEVkoaqObu7lRlJ7a5O1p/Vrb21qj+1pyvzWBWSMMVHKEoAxxkSp9pwAHot0AC2gvbXJ2tP6tbc2WXtCtIqLwMYYYw6/9nwGYIwx5iAsARhjTJRqFwlARAaJyKKQR6GI3CQinUTkXRFZ5Z7TIh1rQxykPXeJyOaQ8kmRjrWhRORmEckWkWUi8ryIxLfV7QN1tqfNbh8AEbnRtSdbRG5yZW15G4VrT5vaRiLylIjkisiykLI6t4mI3C4iq0XkaxE5o97lt7drACLiBzYDxwLXAQWqeq+I3AakqeovIxrgIarVniuAIlW9P7JRHRoR6QF8BAxR1WIRmQ68CQyhDW6fg7SnD21w+wCIyDDgBWAsUAbMAn4M/JC2uY3qas/3aEPbSETGA0XAv1R1mCv7I2G2iYgMAZ7Ha3N3YDYwUFUr61p+uzgDqGUCsEZVNwCTgWmufBowJWJRNV5oe9qyAJAgIgEgEdhC294+4drTlh0JfKqq+1S1AngfOI+2u43qak+boqofAAW1iuvaJpOBF1S1VFXXAavxkkGd2mMCuAQvCwJ0UdWtAO45M2JRNV5oewB+KiJL3KlhmzgdV9XNwP3ARmArsFtV36GNbp+DtAfa4PZxlgHjRaSziCQCk4CetNFtRN3tgba7jarUtU16AJtC6uW4sjq1qwQgIrHAucCLkY6lOYRpzz+A/sBwvB3PnyMU2iFxf2STgb54p6ZJIvL9yEbVeAdpT5vcPgCqugK4D3gXr7tkMVAR0aCa4CDtabPbqAEkTNlB+/jbVQIAzgK+VNXtbny7iHQDcM+5EYuscWq0R1W3q2qlqgaBx6nn9K4VmQisU9U8VS0H/gccT9vdPmHb04a3DwCq+qSqjlTV8XjdDqtou9sobHva+jZy6tomOew/ywHIop6uyfaWAC6lZnfJTGCqG54KvHrYI2qaGu2p2ujOeXinuW3BRuA4EUkUEcG7rrGCtrt9wranDW8fAEQk0z33As7He++11W0Utj1tfRs5dW2TmcAlIhInIn2BAcCCgy2o3dwF5Pr5NgH9VHW3K+sMTAd64f3RXqiqtS+otEp1tOffeKeuCqwHflTVF9jaichvgYvxTsO/Aq4Gkmm72ydce56gjW4fABH5EOgMlAM/U9U5bfxvKFx72tTfkIg8D5yM9zXW24E7gVeoY5uIyB3AlXjvy5tU9a2DLr+9JABjjDGHpr11ARljjGkgSwDGGBOlLAEYY0yUsgRgjDFRyhKAMcZEKUsAxhgTpSwBGGNMlLIEYIwxUcoSgDHGRClLAMYYE6UsARhjTJSyBGCMMVHKEoAxxkQpSwDGGBOlLAEYY0yUsgRgjDFRyhKAMcZEqVaTAEREReTPIeM/F5G76plniogMaeJ6p4rIKveYWv8cDVpmLxF5R0RWiMhyEenjyvuKyGduXf8VkVhX/h0RyRaRD91P8CEi/UXkhQau76cistq9hunN1IYPRWSRe2wRkVdcuYjIw259S0RkpCvPEJGPRGSZiEwJWc6rItK9Aes7TUS+EJGl7vnUZmjD90LasEhEgiIy3E2bJyJfh0yr+v3Y610b3gzZPieKyAMNXOcsEVnstuc/RcTfDO241L0uS9zy0115nHsfrXbvqz6ufJB7DReLyDhXFhCR2e6nRhu63jEiUikiFzRDG1JF5LWQ1+aKkGnrXfsWicjCkPL7XJv/FVJ2mYjc2MB1ht3GTWzHxS6mbBH5Y0h5i26LFqOqreIBlADrgHQ3/nPgrnrmeQa4oAnr7ASsdc9pbjitGdoyDzjNDScDiW54OnCJG/4n8GM3/DGQAvwQuN6VPQ8MaOD6RgB98H7jNL0Fts3LwOVueBLwFiDAccBnrvwGF38KMN+VnQPceQht6O6GhwGbm7kNRwFra22j0WHqLcY7MLrHxS/A2w19XwAd3LO41+2SJsYdAHJD/i7+WPV3AfwE+KcbvgT4rxt+ADgN70fBX3Zl1wNTD2G9fuA94M2m/I2FLO9XwH1uOAMoAGLd+AHvWyAV+NANP+u2XwIwB4hp4DrDbuMmtKEz3m/wZrjxacCElt4WLfloNWcAeD9i/Bhwc+0JItJbROa4zDvHHWEfD5wL/Mll9/7uMctl3A9FZHA96zwDeFdVC1R1J/AucGZTGiHeGUlAVd8FUNUiVd0nIgKcCrzkqk4Dqo6Ug0AckAiUi8i3gK2quqoh61TVr1R1fVPirouIpODF/Yormgz8Sz2fAh1FpBveD28n4LUjKCIB4CbgT7WWd62IXFtHG7a40WwgXkTimrEpl+Il1YaIwW0L4DLgTff+qJeqFrrBABCL9+PjTSHukeTeQx2AqtdpMt77CLz31QRXp2pbVL2fOuIls3/VWLDI3SJybh3rvR4vgeU2Mf4qCqS4+JLxEkDFQeoHgVhXPwGvTbcCD6tqeVUlEekuIm82U4z16Qd8o6p5bnw28B033KRtETGRzkAh2bUI7829Hi/7V58BAK/hMibeL96/4oafIeToBO/oYIAbPhZ4zw2fC9wdZp0/B34dMv5/wM/D1LsVWBTm8XCYulOA14H/AV/h7QD9QDqwOqReT2CZGz4N+MK1M5VDOOKste711HEGAAyqow2LgI4HWeblwEsh468DJ9Z6zUe7uN8AFgIT8M4IpjbyvXABMLuOaQ/W0Ybb6lnmGmBYyPg8YKmb9/8AceWXue32H7yzmQYfcYYs+21gJ/Ac4A8z/ZQ62vDxQV6PQmAr8EHVMoFlQFatNqYDvVz7PgGOxjsKPekQ4u8BvO/et89QxxkA8N862nF5mLopwFzXhiLg2yHT1gFfur+Ba0LKf+GW92egG/DaIW6HsNu4sdsCr5cgB+9sO4CXIF9ryW3R0o+IBxDyghW557vdxgpNAPlVf4R4R2f5brj6zYl3VFFcayOuqGedt3JgArilie24ANiNd7RQ9Sa5Cu+0t3YCWBpm/qnAjXjdKy8Bj+O6kBqw7vU0cxcQXnfPd0LG3+DABDCq1jxpwDtumzzu2jGugesb6v54+jdjG46t/VoDPdxzios13E7rTrwju3NdGx4EfA1cZ7zb9qc1MfYY9xr3xzsT+FvVexbvTKn2TqdzrfmPAF4AugD/xttpD6xnnS8Cx7nh6r+xJrbjAvf6iYtpHfu7y6q6/jLxuuDGh5n/CbxuwqvxulJ/3YB11ruNG9GOc4DP8HbofwZmtOS2aOlHgNbnL3hHA08fpE6402ofsEtVhx/CunKAk0PGs/CydQ0icivwvTDzf6CqN4RZ5lequtbN+wrezvwpvO6SgKpWuHVtCZ3RXRSaitc19Q7ezue7bt2PH0K7DiAig/DecOGcrKq7wszTGRgLnBdSnIOXvKoc0A7gN3h96JfiHdU9B7yKd7R1sBizgBl4f6hr6qjzYB3LeUFV761j0ZdQq/tHVTe75z0i8hxeO0MvNnYHxqjqb0VkATDOtWkCXlfhQalqiYjMxNuGNeqLyCl4O8Pa9qnq8bXKhrvlrXHzTgduc9OqtkWO63JLxetaCXUP8Gu8M7Jn8Q4S7iT8+7nKaOAFrweDdGCSiFSo6iuhlUTkv3hnlrU9oKq1uziuAO5Vb0+4WkTWAYOBBeq6/lQ1V0Rm4G2LD0LWM8INfgM8pKrjReQFERmgB+kmrW8bu2UfyrZAVV/DO1NHRK4BKt2kltoWLarVJQBVLXBv8qvwdprgXSS9BC9rfg/4yJXvwcvuqGqhiKwTkQt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\n",
          "text/plain": "<Figure size 432x288 with 1 Axes>"
         },
         "metadata": {
          "needs_background": "light"
         },
         "output_type": "display_data"
        }
       ]
      }
     },
     "e1cb138cb44248f7b65dc5d19725445a": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_bb0e2a1985974b3f85f7014ee1b18128",
       "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"
        }
       ]
      }
     },
     "e1e1397c834e4c09926394eb536576ed": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_061dd869bb074be7b9e4ba515ce6b10f",
       "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"
        }
       ]
      }
     },
     "e1e82531438541f49733df2fd688f1a1": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "VBoxModel",
      "state": {
       "_dom_classes": [
        "widget-interact"
       ],
       "children": [
        "IPY_MODEL_3302be4b3b97444eb3999be78171d56d",
        "IPY_MODEL_df56a5b06fb74813941638620c0a4c6f"
       ],
       "layout": "IPY_MODEL_89760a4601ba42709d09d83e0931bbb6"
      }
     },
     "e2d35cdf09424ec9b77e6aaf5517d5aa": {
      "model_module": "@jupyter-widgets/base",
      "model_module_version": "1.2.0",
      "model_name": "LayoutModel",
      "state": {}
     },
     "f42c40f689794db58578ae937087d340": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_4efb62ee3a1b46cd8360a735b01f5893",
       "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"
        }
       ]
      }
     },
     "fa1fdb76af3f45a9bdf397109cbf7ace": {
      "model_module": "@jupyter-widgets/output",
      "model_module_version": "1.0.0",
      "model_name": "OutputModel",
      "state": {
       "layout": "IPY_MODEL_402100cda1024f9e8769010ec2fea05b",
       "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"
        }
       ]
      }
     },
     "fc1456f90618454199a9fade4a5a6fe3": {
      "model_module": "@jupyter-widgets/controls",
      "model_module_version": "1.5.0",
      "model_name": "IntSliderModel",
      "state": {
       "description": "j",
       "layout": "IPY_MODEL_cb57d1cefa9b4d90b6f30d4acfe94339",
       "max": 5,
       "style": "IPY_MODEL_cdb4685cfa7143ada1ad8926654a122c",
       "value": 2
      }
     }
    },
    "version_major": 2,
    "version_minor": 0
   }
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}