{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "from aesim.simba import Design, ProjectRepository, Status\n",
    "import control, math, os \n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# AC Sweep Tests: validating SIMBA AC Sweep Analysis with analytical transfer functions\n",
    "\n",
    "Examples and analytical equations are derived from from the book [*Transfer Functions of Switching Converters*](https://stairwaypress.com/product/transfer-functions-of-switching-converters/) by Christophe P. Basso.\n",
    "\n",
    "## Buck Converter in CCM\n",
    "\n",
    "### Open Loop, control to output transfer function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Success: True\n",
      "Runtime: 1.237s\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Vin = 12;\n",
    "L1 = 100E-6;\n",
    "rl = 10E-3;\n",
    "rc = 30E-3;\n",
    "C2 = 47E-6;\n",
    "Rload = 5;\n",
    "Fsw = 100E3;\n",
    "\n",
    "### Analytical \n",
    "tf2 = Vin * (Rload / (rl + Rload)) * control.tf ([rc * C2, 1] , [L1*C2*(rc + Rload)/(rl + Rload), L1 / ( rl + Rload) + C2*(rl*Rload/(rl + Rload) + rc), 1])\n",
    "mag_ref, phase_ref, omega_ref = control.bode_plot(tf2, plot=False);\n",
    "frequency_ref = np.multiply(omega_ref, 1 / (2*math.pi) )\n",
    "mag_ref = 20*np.log10(mag_ref);\n",
    "phase_ref  = np.multiply(phase_ref, 180 / (math.pi) )\n",
    "\n",
    "### Simulation\n",
    "file_path = os.path.join(os.getcwd(), \"ACSweepTest.jsimba\")\n",
    "project = ProjectRepository(file_path)\n",
    "design = project.GetDesignByName('Buck Converter - CCM - Open Loop')\n",
    "design.Circuit.GetDeviceByName('Vin').Value = Vin;\n",
    "design.Circuit.GetDeviceByName('L1').Value = L1;\n",
    "design.Circuit.GetDeviceByName('rl').Value = rl;\n",
    "design.Circuit.GetDeviceByName('C2').Value = C2;\n",
    "design.Circuit.GetDeviceByName('Rload').Value = Rload;\n",
    "design.Circuit.GetDeviceByName('Fsw').Frequency = Fsw;\n",
    "acsweep =  project.GetACSweepByName('AC Sweep - Buck CCM - Open Loop');\n",
    "acsweep.Design = design;\n",
    "acsweep.Fmin = Fsw/1000;\n",
    "acsweep.Fmax = Fsw/10;\n",
    "acsweep.MagMin  = 0.03;\n",
    "acsweep.MagMax  = 0.05;\n",
    "acsweep.NumberOfPoints  = 31;\n",
    "job = acsweep.NewJob();\n",
    "status = job.Run();\n",
    "print(\"Success: \" + str(status==Status.OK))\n",
    "print(\"Runtime: \" + \"{:.3f}\".format(job.RunTime) + \"s\")\n",
    "mag_sim = job.GetSignalByName('Rload - Voltage Magnitude').DataPoints\n",
    "phase_sim = job.GetSignalByName('Rload - Voltage Angle').DataPoints\n",
    "frequency_sim = job.FrequencyPoints\n",
    "\n",
    "### Plot\n",
    "plt.figure()\n",
    "plt.semilogx(frequency_sim, mag_sim, 'g.-', label='SIMBA')    # Bode magnitude plot\n",
    "plt.semilogx(frequency_ref, mag_ref, 'r', label='Reference')    # Bode magnitude plot\n",
    "plt.xlabel('Frequency (Hz)')\n",
    "plt.ylabel('Magnitude (dB)')\n",
    "plt.legend()\n",
    "plt.figure()\n",
    "plt.semilogx(frequency_sim, phase_sim, 'g.-', label='SIMBA')  # Bode phase plot\n",
    "plt.semilogx(frequency_ref, phase_ref, 'r', label='Reference')    # Bode magnitude plot\n",
    "plt.xlabel('Frequency (Hz)')\n",
    "plt.ylabel('Phase (°)')\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Open Loop, input to output transfer function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Success: True\n",
      "Runtime: 1.257s\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Vin = 12;\n",
    "L1 = 100E-6;\n",
    "rl = 10E-3;\n",
    "rc = 30E-3;\n",
    "C2 = 47E-6;\n",
    "Rload = 5;\n",
    "Fsw = 100E3;\n",
    "D0 = 0.417 \n",
    "\n",
    "### Analytical \n",
    "H0 = D0 * Rload / (rl + Rload)\n",
    "wz = 1 / (rc * C2)\n",
    "tf = H0 * control.tf ([1/wz, 1] , [L1*C2*(rc + Rload)/(rl + Rload), L1 / ( rl + Rload) + C2*(rl*Rload/(rl + Rload) + rc), 1])\n",
    "mag_ref, phase_ref, omega_ref = control.bode_plot(tf, plot=False);\n",
    "frequency_ref = np.multiply(omega_ref, 1 / (2*math.pi) )\n",
    "mag_ref = 20*np.log10(mag_ref);\n",
    "phase_ref  = np.multiply(phase_ref, 180 / (math.pi) )\n",
    "\n",
    "### Simulation\n",
    "file_path = os.path.join(os.getcwd(), \"ACSweepTest.jsimba\")\n",
    "project = ProjectRepository(file_path)\n",
    "design = project.GetDesignByName('Buck Converter - CCM - Open Loop')\n",
    "design.Circuit.GetDeviceByName('Vin').Value = Vin;\n",
    "design.Circuit.GetDeviceByName('L1').Value = L1;\n",
    "design.Circuit.GetDeviceByName('rl').Value = rl;\n",
    "design.Circuit.GetDeviceByName('C2').Value = C2;\n",
    "design.Circuit.GetDeviceByName('Rload').Value = Rload;\n",
    "design.Circuit.GetDeviceByName('Fsw').Frequency = Fsw;\n",
    "acsweep =  project.GetACSweepByName('AC Sweep - Buck CCM - Input To Output');\n",
    "acsweep.Design = design;\n",
    "acsweep.Fmin = Fsw/1000;\n",
    "acsweep.Fmax = Fsw/10;\n",
    "acsweep.BaseSwitchingFrequency = Fsw;\n",
    "acsweep.BaseSwitchingFrequencyEnabled = False;\n",
    "acsweep.MagMin  = 0.5;\n",
    "acsweep.MagMax  = 0.5;\n",
    "acsweep.NumberOfPoints  = 31;\n",
    "job = acsweep.NewJob();\n",
    "status = job.Run();\n",
    "print(\"Success: \" + str(status==Status.OK))\n",
    "print(\"Runtime: \" + \"{:.3f}\".format(job.RunTime) + \"s\")\n",
    "mag_sim = job.GetSignalByName('Rload - Voltage Magnitude').DataPoints\n",
    "phase_sim = job.GetSignalByName('Rload - Voltage Angle').DataPoints\n",
    "frequency_sim = job.FrequencyPoints\n",
    "\n",
    "### Plot\n",
    "plt.figure()\n",
    "plt.semilogx(frequency_sim, mag_sim, 'g.-', label='SIMBA')    # Bode magnitude plot\n",
    "plt.semilogx(frequency_ref, mag_ref, 'r', label='Reference')    # Bode magnitude plot\n",
    "plt.xlabel('Frequency (Hz)')\n",
    "plt.ylabel('Magnitude (dB)')\n",
    "plt.legend()\n",
    "plt.figure()\n",
    "plt.semilogx(frequency_sim, phase_sim, 'g.-', label='SIMBA')  # Bode phase plot\n",
    "plt.semilogx(frequency_ref, phase_ref, 'r', label='Reference')    # Bode magnitude plot\n",
    "plt.xlabel('Frequency (Hz)')\n",
    "plt.ylabel('Phase (°)')\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Open Loop, input Impedance"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Success: True\n",
      "Runtime: 2.299s\n"
     ]
    },
    {
     "data": {
      "image/png": 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IPbt4+yKTdk66b7ujyTFplWrAUrYEBcGbb0JUFLi7w6RJ0KMHmEyPLe/jpkLm79zcLL98W722lXLkyEHx4pa/xDNnzqRixYoEBQVRrlw5AH799VcKFSqU7BwXF5eHXi8qKoqWLVs+sLNwgQIFkr1uas7Lli1bsn0mkwmz2bIuiOt/DPuLioqiT58+DBgw4L59hTPYSqwiImnFbJgJXBbIrbu3KOxZmAuRF0g0EnE0OTK9xfT/zxdz5Qq88grc61dYty7MmQNFi9ou/GNi00Jm6tSpTJ06lTNnzgBQtmxZPvjgA5o1awZYOohu2rQp2Tl9+vRh2rRp6RPIZIJ/fEnbCwcHB4YNG8agQYM4ceIELi4unDt3jqeffjrF16hSpQqLFy+mSJEiODml/K9Gas/7uwoVKhAeHs6JEyce2CpTpUoVjh49mlS4iYhkBVN2TmHtqbW4OrmyuvNq3J3d75u1lyVLoE8fuHbNsqzA6NGWVpm/+hhmdjbt7Ovr68unn37Knj172L17Nw0aNOD555/nyJEjScf06tWLS5cuJT3Gjh1rw8QZW/v27XF0dGT69OkMHjyYN998kzlz5nDy5En27t3LlClTmDNnzkPP79evHzdu3ODll19m165dnDx5ktWrV9O9e3cSExPT/Ly/e/rpp6lXrx5t27Zl7dq1nD59mpUrV7Jq1SoAhgwZwrZt2+jfvz/79+8nNDSU5cuXq7OviGRah68eZsi6IQCMazyOUnlL4evhS/0i9S1FTEQEdOsGbdtaipiKFWH3bhg8OMsUMWDjFpmWLVsmez569GimTp3Kjh07KFu2LABubm74+PjYIp7dcXJyon///owdO5bTp0+TL18+xowZw6lTp8iVKxdVqlRh2LBhDz2/YMGCbN26lSFDhtC4cWNiY2Px9/enadOmODg8vOZN7Xn/tHjxYgYPHszLL7/MnTt3KF68OJ9++ilgabHZtGkT7733HnXr1sUwDIoVK0aHDh1S/gckImInYhNi6bSkE7GJsTQPaE7fan2THxAcDIGBcO4cODjAkCEwYgT8S/eBzMpkGI847jeNJCYmsmjRIrp168a+ffsoU6YM9evX58iRIxiGgY+PDy1btuT999/H7V/6k8TGxhIbG5v0PDIyEj8/PyIiIvDw8Eh27N27dzl9+jRFixYle/bs6fbexDb0+xURe/X2mrcZt30c+dzycajvIbzdvS07YmLgvfdg4kTL8yeesCz0WKeO7cKmk8jISDw9PR/4/f13Nu/se+jQIWrXrs3du3dxd3dn6dKllClTBoCOHTvi7+9PwYIFOXjwIEOGDOH48eMsWbLkodcbM2YMH3300eOKLyIikqY2nN7A+O3jAfi21bf/L2L27oUuXeDoUcvz3r1h/HjL6KQszOYtMnFxcZw7d46IiAh++uknvv32WzZt2pRUzPzdhg0baNiwIWFhYRQrVuyB11OLjNyj36+I2JubMTcpP7U8F25foHeV3kxvOR0SEuDTT+Gjjyw/e3tbhllnotl5H8RuWmScnZ2TRqJUrVqVXbt2MXnyZKZPn37fsTVr1gT410LGxcXlX4cYi4iIZESGYfDqr69y4fYFAvIEMKHJBAgNha5dYccOy0Ft28K0aZA3r23DZiAZbokCs9mcrEXl7/bv3w8kn5tERETE3oVHhjNs/TB+PPIjjiZH5r0wlxzfzoFKlSxFjKcnfP89LFqkIuYfbNoiM3ToUJo1a0bhwoW5ffs28+fPZ+PGjaxevZqTJ08yf/58mjdvjpeXFwcPHuTNN9+kXr16980QKyIiYq+C9gbRe0VvzIZlgtCueRtR/ZUPYPVqywENGsDs2eDnZ7uQGZhNC5mrV6/StWtXLl26hKenJxUqVGD16tU8++yznD9/nnXr1jFp0iTu3LmDn58fbdu2Zfjw4WmeI4MM3JI0pt+riGR0285to9cvvTCwfF69eBjG/boaYoDs2eGzz6B/f8sQa3kgmxYyQUFBD93n5+d336y+ae3elPnR0dH/OUW+2J/o6Gjg/qURRERsbe+lvXy+7XMWHl6IgUHuaPjyN+h42LL/dvkS5Fy4DLSO3H+yeWdfW3J0dCRXrlxJCxe6ublhysQLa2UVhmEQHR3N1atXyZUrF45ZaIZLEcl4wiPDCb0eSvE8xTl27Rhjt41l3al1SfufDYNZy6HQbUgwwZh6JrovXkVOr8y/TlJayNKFDJA0a/C9YkYyj1y5cmlWaBGxqX/2f7nH0eRIl4C2jF1rIt/chQAc94LANg688uoMfFXEpFiWL2RMJhMFChQgf/78xMfH2zqOpJFs2bKpJUZEbCo8MvyBRUyPSj0YlaMlBfoNgRMnAIjqHciVgR1YVKjc/xeDlBTJ8oXMPY6OjvriExGRNLMqdNX9LTGJMHyjmQJT2kFiIhQqBDNn4t64MfVslNPeqZARERFJY7+F/sYbq99Itq3YdZi3FIqGz7ZsePll+OoryJ378QfMRDSeS0REJA1N3TWVlj+0JDo+mlJ5S+GIAz33wP7pUDMcy+R28+dbHipiHpkKGRERkTRgNswMXjOY1357DbNhJrBSIAfaruP27w359hdwjwPq14eDBy2tMZImdGtJRETkEUXHR9NlaReW/LEEgFHPjGLY7UqYKlWFK1cgWzb45BMYNEiT26UxFTIiIiKpFB4Zzs7wnYwKGcX+y/txdnTmu8bT6DBnN3z910z0ZcvCvHlQsaJtw2ZSKmRERERS4Z9zxOTIloOQ8hOp3PUzOH7cctDAgTBmjGW5AUkXKmRERESsdD7ifLI1khzMMHB9NJVGvAYJCVCwIMyZA40a2Thp5qdCRkRExArXo6/TZWmXpCKmyE34fgk8dd4AEqBdO5g+HfLksW3QLEKFjIiISAqtObmGwGWBXIq6BAZ0PQBTfgOPOIh0gYTJE8nT+w3Qun2PjQoZERGR/xATH8OQdUOY8vsUAGpmL07Qr06UDTkGwJbCcOGrT+nQYqANU2ZNKmREREQe4N6q1XcT7vLWmrf449ofAExxbMlrk3fhcOkyhpMTpwd1p8i77/FUbn8bJ86aVMiIiIj8w4NWrS7i4k3wH7Uo8t1yy4ZSpTDNm8cTVarYKKWAChkREZFkHrRqdaVLsD04B9lP/FXE9OsHY8eCm5uNUso9KmRERET+5odDPyQVMQ5meGsbjNoAzuZT4OMDM2dCs2Y2Tin3qJARERHBslbS6M2j+WDjBwD4RsB3S+GZM5b9MS2a4DprLuTNa7uQcp9UFTLx8fFcvnyZ6Oho8uXLRx6NlRcRETt2b26YlWErARh+tRRvzjpGnhiIcoa97wZS78OZGladAaW4kLl9+zZz585lwYIF/P7778TFxWEYBiaTCV9fXxo3bkzv3r2pXr16euYVERFJU7sv7qbdj+04G3EWr0QXth2sQYnlIQBEVijFndkzqFe5ro1TysOkqJCZMGECo0ePplixYrRs2ZJhw4ZRsGBBXF1duXHjBocPHyYkJITGjRtTs2ZNpkyZQkBAQHpnFxERSZXwyHBOXDvB7xd+Z8SmEcQlxvH87UIsXOqIy6kQS8vL0KF4fPghHtmy2Tqu/AuTYRjGfx308ssvM3z4cMqWLfuvx8XGxjJr1iycnZ3p0aNHmoV8FJGRkXh6ehIREYGHh4et44iIiI39c2i1gxlmnShNl59CMSUkgK8vzJ0LTz9t46RZW0q/v1NUyNgzFTIiInJPeGQ4/pP8k4qYQhHw/d869NK+vWWdpNy5bZZRLFL6/a1RSyIikmXsDN+ZVMS0OQrf/Ax57kKiW3Ycv/waAgPVodfOOFhzcHBwMOPHj2fr1q0ATJ8+ncKFC5MvXz569epFTExMuoQUERF5VBF3I/hg4wfkiIVvlsPiHy1FzK6C8OeWNdC9u4oYO5TiFplvvvmGvn37UrRoUd577z1GjBjB6NGj6dKlCw4ODsydOxcvLy8+/fTT9MwrIiJitZj4GFotaIXr/qPsX2Ki+HUDMzC2ron8n0+lukYl2a0U95EpV64cffr04fXXX2fVqlW0bNmSb7/9lm7dugGwaNEihg4dSlhYWLoGtpb6yIiIZG0J5gTaLWhDyVm/MGoDZDNDQqECHB73Dnmbt8PXw9fWEeUB0ryPzKlTp2jVqhUATZs2xWQyUaNGjaT9NWvW5Pz5848QWUREJG0ZhsE7szoyYNQvNDjz18Z27XCaPp1Kmsw1U0hxIXP37l1cXV2Tnru4uODi4pLseUJCQtqmExEReQTfjWjN8M9/Js9dSHDLjtOUr9QXJpNJcSFjMpm4ffs22bNnT5rRNyoqisjISICk/4qIiNjcnTscePkZuv2yC4BrZYqQd9ka0GStmU6KCxnDMChRokSy55UrV0723KQKV0REbCg8MpxLm36lWL/hVDx/DTOwq3MDagatBGdnW8eTdJDiQiY4ODg9c4iIiDySoN3fcHR4H8asNXA2Q3hO+O2Dl+g9+AdbR5N0lOJC5mlN1SwiIhnUxZP7KdCxNz1DLc+XlIJerWB/r7G2DSbpLkWFjDX9XzTEWUREHqv168n1UluaX4MYJ3izCUyvBpjg5M2T+Hn62TqhpKMUFTK5cuVKcf+XxMTERwokIiKSIvHxxL73LtnGTcDNgCP5oEM7OOJt2e1ocqR4nuK2zSjpLkWFzN/7x5w5c4Z3332XwMBAateuDcD27duZM2cOY8aMSZ+UIiIif2M+dZJrrZuQ/9BJAKZXhW+7lOGPiGNgmHE0OTK9xXRNdpcFWL36dcOGDXnllVd4+eWXk22fP38+M2bMYOPGjWmZ75FpZl8RkcwhPDKc0Ouh5Fy+ilLDxuMek8gtF/igow9N3v2W50o8R3hkOGE3wiiep7iKGDuX0u9vqwsZNzc3Dhw4QMA/xuKfOHGCSpUqER0dnbrE6USFjIiI/QvaG8QbS3oxcaVBr72WbTsKO7B/wjt0f/5DXJxc/v0CYndS+v1t1erXAH5+fnzzzTf3bf/222/x81OHKhERSVvhkeFM+bYXv0+3FDFmYHRdyBayjVfbjlERk8WlePj1PRMnTqRt27asXLmSmjVrAvD7778TGhrK4sWL0zygiIhkYYZB2MdvsmOGQfZEuOgOndtA8BNQxxxj63SSAVjdItO8eXNCQ0Np1aoVN27c4MaNG7Rs2ZITJ07QvHnz9MgoIiJZ0Y0bXGnyFPXH/UT2RFgRABX7WooYjUiSe6xukQHw9fVl9OjRaZ1FRETEIiSE6PYv4H3lOrGOMPEFH4aXu0oiGpEkyaWokDl37hyFCxdO8UUvXLhAoUKFUh1KRESyqMREGDUK88iPcDMbnMgDM4c8y8i3VtD5zlWNSJL7pOjWUvXq1enTpw+7du166DERERF88803lCtXTn1lRETEehcvYjRsCB9+iIPZYHZF+HpqD0YPXomzozO+Hr7UL1JfRYwkk6IWmaNHjzJ69GieffZZsmfPTtWqVSlYsCDZs2fn5s2bHD16lCNHjlClShXGjh2rvjIiImKVP5fOw/OV/jjfuMVtZ+j7HBTp/x4Tn/k4xTPLS9aUohYZLy8vJkyYwKVLl/jyyy8JCAjg2rVrhIZaVufq1KkTe/bsYfv27VYVMVOnTqVChQp4eHjg4eFB7dq1WblyZdL+u3fv0q9fP7y8vHB3d6dt27ZcuXLFyrcoIiIZVkIC+3s+h1fbzjjfuMV+b6jaG6q8PZ5RDUapiJH/ZPWEeGnpl19+wdHRkYCAAAzDYM6cOXz++efs27ePsmXL0rdvX3799Vdmz56Np6cn/fv3x8HBga1bt6b4NTQhnohIBhUeTmyHtrhs+x2AqdUsCz7GOztwduBZ3ULK4tJtZt/0lidPHj7//HPatWtHvnz5mD9/Pu3atQPg2LFjlC5dmu3bt1OrVq0UXU+FjIhIBrRyJXTpAtevE+kMr7SCReX+vzu4WzD1i9S3WTyxvXSb2Te9JCYmsmDBAu7cuUPt2rXZs2cP8fHxNGrUKOmYUqVKUbhwYbZv3/7Q68TGxhIZGZnsISIiGUR8PLz7LjRvDtevs9cHqvRJXsRojhixhs0LmUOHDuHu7o6LiwuvvvoqS5cupUyZMly+fBlnZ2dy5cqV7Hhvb28uX7780OuNGTMGT0/PpIeWTRARySDOn4f69eGzzwD4sjo89YqJgBpNcTQ5AmiOGLFaqibES0slS5Zk//79RERE8NNPP9GtWzc2bdqU6usNHTqUQYMGJT2PjIxUMSMiYkPhkeHc+PE7yrwzFqebEUS4QM9WcPTp0gQ/P4uavjW1arWkms0LGWdnZ4oXtzQhVq1alV27djF58mQ6dOhAXFwct27dStYqc+XKFXx8fB56PRcXF1xctICYiEhGMHPndG4OepW3tlme7yoIL7c38WLLd5n79Adkd8oOgK+HrwoYSZVU3Vr6/vvvqVOnDgULFuTs2bMATJo0ieXLlz9yILPZTGxsLFWrViVbtmysX78+ad/x48c5d+4ctWvXfuTXERGR9HXp8A7KtPt/ETOpJjzVAya99jOfNPwkqYgReRRWFzJTp05l0KBBNG/enFu3bpGYmAhArly5mDRpklXXGjp0KJs3b+bMmTMcOnSIoUOHsnHjRjp16oSnpyc9e/Zk0KBBBAcHs2fPHrp3707t2rVTPGJJRERs4/K86bjXrEutcLiZHV7oAG82gzgncHd2t3U8yUSsvrU0ZcoUvvnmG1q3bs2nn36atL1atWoMHjzYqmtdvXqVrl27cunSJTw9PalQoQKrV6/m2WefBWDixIk4ODjQtm1bYmNjadKkCV9//bW1kUVE5DE5dfU4ob3b0WT5YQB2FoIO7eBsbst+jUiStGZ1IXP69GkqV65833YXFxfu3Llj1bWCgoL+dX/27Nn56quv+Oqrr6y6roiIPB7hkeGEXg/F2dGZJeum0OajhTQ5Z9m3pKk/+97oQPjv48FI1IgkSRdWFzJFixZl//79+Pv7J9u+atUqSpcunWbBREQkYwvaG0TvFb0xG2YanIIffoL80XDH1YnwyR/Tpte7tAH6PPm6RiRJurG6kBk0aBD9+vXj7t27GIbB77//zg8//MCYMWP49ttv0yOjiIhkMOGR4fT6pReYDd4LgZHBlk6Xt0oXJdfPayhZ/P+3jzQiSdKT1YXMK6+8gqurK8OHDyc6OpqOHTtSsGBBJk+ezEsvvZQeGUVEJAMxDIP31r9H7miDuUugWZhl+zdVoOS8qdQrrj4w8vikah6ZTp060alTJ6Kjo4mKiiJ//vxpnUtERDIgs2Fm4KqBHPvtO/b9CIUjIcYJ+j4Hc6s4cqZgWVtHlCzmkSbEc3Nzw83NLa2yiIhIBhafGE+P5d3x/HYeIavB2QwnvKBdezhaQB15xTZSVMhUrlwZk8mUogvu3bv3kQKJiEjGExMfQ+D3bXlhwkpeOvLXxnbtyDFxJF8kXFFHXrGZFBUyrVu3Tvr57t27fP3115QpUyZpht0dO3Zw5MgRXnvttXQJKSIithMZG8mAcQ35aOJuSl0Hs5MjDuPGw4ABFDKZKIRGrIrtpKiQGTFiRNLPr7zyCgMGDODjjz++75jz58+nbToREbGpP+/8yRevV+eruWfJEQ+xBfLhsng5aKkYySBMhmEY1pzg6enJ7t27CQgISLY9NDSUatWqERERkaYBH1VkZCSenp5ERETg4eFh6zgiInYhPDKcbWHBJLzej47bbgMQWa8WHj/9DPny2TidZAUp/f62eq0lV1dXtm7det/2rVu3kj27FgATEbF3QXuDqPNRYfxbdaXjttuYTXDtndfx2LBFRYxkOFaPWho4cCB9+/Zl79691KhRA4CdO3cyc+ZM3n///TQPKCIij094ZDjzp/Ri148G+aPhRnbo0s6B6e+9A46Oto4nch+rC5l3332XJ554gsmTJzN37lwASpcuzaxZs3jxxRfTPKCIiDwmhsH+t7uweo6BkwH7fKBNBziT20zYjTCNSpIMyeo+MvZGfWRERP6b+XYkh1rWoOKm4wDMqWiZ5C7G2bJi9ZmBZ1TIyGOV0u/vR5oQT0RE7F/04f1ca1aPiuG3iXeAb7uV53X/IyRi1orVkuFZXcg4ODj86+R4iYmJjxRIREQenxsLZuHc/RUK3zVzMScc+vID+nb9iJaR4VqxWuyC1YXM0qVLkz2Pj49n3759zJkzh48++ijNgomISPoIjwwn9OoxCk8IotjUBQBsL+qE44+LaVKtFaAVq8V+pFkfmfnz57Nw4UKWL1+eFpdLM+ojIyLyf0F7g3j3x158/5NB05OWbd/Vz81TC7fzRP6Stg0n8jfpNo/Mw9SqVYv169en1eVERCSNhUeG8/U3vfh9uqWIiXaCjm2g6sIQFTFit9Kks29MTAxffPEFhQoVSovLiYhIOrjx7Zds+dbANQHCcluGVh/ygd7Rf9o6mkiqWV3I5M6dO1lnX8MwuH37Nm5ubknzyoiISAaSmEjUoP5U+GIaAL8GQOc2cMvVMrS6eJ7iNg4oknpWFzITJ05MVsg4ODiQL18+atasSe7cudM0nIiIPKKbN7n1QnNybdoBwNinnXivfiIJJkNDqyVTsLqQadCgAX5+fg8cgn3u3DkKFy6cJsFEROQRHT1KZNMG5Dp/hTvZ4IMuvrz2+UY6OrloaLVkGlYXMkWLFuXSpUvkz58/2fbr169TtGhRzSMjIpIBJC5dQnynl/CIieeMJ0x+tz4j3/yZnC45AVTASKZh9ailh43WjoqK0urXIiI2Fn7rHMde74hjm7Zkj4knuAgsmDWI8UPWJxUxIplJiltkBg0aBIDJZOKDDz7Azc0taV9iYiI7d+6kUqVKaR5QRERS5ruQr8jZpz8v/GF5/lUtB7ynzuXdSi/bNphIOkpxIbNv3z7A0iJz6NAhnJ2dk/Y5OztTsWJFBg8enPYJRUTkP21eP4sqL/en3J8Q62hZ8HFOVTj7RF1bRxNJVykuZIKDgwHo3r07kydP1iy5IiI2lmhO5JcTvxASNIL3vjxInrtwyd0yP8wOP8AwE3YjTP1hJFOzurPvrFmz0iOHiIj8h/DIcEKvh+Kdw5vVJ1czZecXtFx9hgmrwdGAnYUsRczFv/6dqTliJCtIUSHTpk0bZs+ejYeHB23atPnXY5csWZImwURE5P+C9gbRe0VvzIYZAKdE+PI36LPHsv9Ox3b80b8hV9b2ByNRc8RIlpGiQsbT0zNp3hhPT890DSQiIsmFR4bT65deGFhGjeaJhkU/QoMzYJhMmD7/nByDBhFoMtGobAvNESNZSpqtfp1RafVrEbF3U3ZOYcCqAQCU/BN++QECbkBCDlecFvwILVrYOKFI2kvp93eaLBopIiLp4/i143yw8QMAng2DHxdBrlg4nQtcf1uOT+1nbRtQxMasnhDvypUrdOnShYIFC+Lk5ISjo2Oyh4iIpI3LUZdpOq8pt2Ju8cEhL36bbylithaGbYsmqIgRIRUtMoGBgZw7d47333+fAgUKPHDNJREReTRRcVG0mN+C8OtnmBvsQact1wG43LYJ/lO/ok6+YjZOKJIxWF3IbNmyhZCQEM3iKyKSThLMCby46EVOndzDuiXZeDosEkwm+PRTfN5+2/KziACpKGT8/Pweut6SiIg8GsMw6LuiL2E7VrLzBxMB1+MhRw6YPx9atbJ1PJEMx+o+MpMmTeLdd9/lzJkz6RBHRCRrG7V5FCeWfsuOIAi4bkDhwrBtm4oYkYewukWmQ4cOREdHU6xYMdzc3MiWLVuy/Tdu3EizcCIiWUV4ZDhTdk7hwtSxrF0OzmagZk1Yvhy8vW0dTyTDsrqQmTRpUjrEEBHJuoL2BtH75168t8lg7sa/NrZtC99/D66utowmkuFpQjwRERsKjwyn+LjCTPvZIPCAZdu4OiZeWnEG31yFbRtOxIbSbUK8yMjIB243mUy4uLjg7Oxs7SVFRLKsoA3j+e17gwZnIMEE/Z6DGdUMqt06pUJGJAWsLmRy5cr1r3PH+Pr6EhgYyIgRI3BwsLovsYhIlpBgTmDs3L60f+tbylyD287wYntYFaBVq0WsYXUhM3v2bN577z0CAwOpUaMGAL///jtz5sxh+PDh/Pnnn4wbNw4XFxeGDRuW5oFFROzdzZibjBjbjPc+34n3HbiWOzuNX4pjn7dZq1aLWMnqQmbOnDmMHz+eF198MWlby5YtKV++PNOnT2f9+vUULlyY0aNHq5AREfmHP/78gy+HNuTzOZdwS4CbpYqQd90Wfs5paNVqkVSwupDZtm0b06ZNu2975cqV2b59OwBPPfUU586de/R0IiKZyIoTK9gyqB1Tfo3FAYho+BS5l/4GOXPiCypgRFLB6k4sfn5+BAUF3bc9KCgIPz8/AK5fv07u3LkfPZ2IiJ0Ljwxnw6kNDF09hBOBLfn0ryIm5pVAPFcFQ86cto4oYtesbpEZN24c7du3Z+XKlVSvXh2A3bt3c+zYMX766ScAdu3aRYcOHdI2qYiInQnaG0TvFb1xjDczexl0PGzZnvDJaFzfHao1k0TSgNUtMq1ateL48eM0b96cGzducOPGDZo1a8axY8do0aIFAH379mXChAn/ea0xY8ZQvXp1cubMSf78+WndujXHjx9Pdkz9+vUxmUzJHq+++qq1sUVEHqvwyHB6r+hNjhgzv82zFDHxDnBj+iSchg5TESOSRqxukQEoUqQIY8aMeeQX37RpE/369aN69eokJCQwbNgwGjduzNGjR8mRI0fScb169WLkyJFJz93c3B75tUVE0tPBKwfJH2kpYipftgyvbvsiDGtckfq2DieSiaSqkAGIjo7m3LlzxMXFJdteoUKFFF9j1apVyZ7Pnj2b/Pnzs2fPHurVq5e03c3NDR8fn9RGFRF5rO7E3WHOwmFsC4Kit+BKDmjWCQ4WcmSm5ocRSVNWFzJ//vkn3bt3Z+XKlQ/cn5iYmOowERERAOTJkyfZ9nnz5jF37lx8fHxo2bIl77///kNbZWJjY4mNjU16/rCZiEVE0kN0fDTvjnqar8cdwCsGQvNAk85wzkvzw4ikB6sLmYEDB3Lr1i127txJ/fr1Wbp0KVeuXGHUqFGMHz8+1UHMZjMDBw6kTp06lCtXLml7x44d8ff3p2DBghw8eJAhQ4Zw/PhxlixZ8sDrjBkzho8++ijVOUREUismPoYxQ57ksykHcEuAqIqlybHkB2Y63NT8MCLpxOpFIwsUKMDy5cupUaMGHh4e7N69mxIlSvDzzz8zduxYtmzZkqogffv2ZeXKlWzZsgVf34f/z75hwwYaNmxIWFgYxYoVu2//g1pk/Pz8tGikiKSruwl3mfpqNQbMPIKjATeeqUWeX9bB3/r7iUjKpXTRSKtHLd25c4f8+fMDkDt3bv78808Aypcvz969e1MVtn///qxYsYLg4OB/LWIAatasCUBYWNgD97u4uODh4ZHsISKSnmITYvmhSyXeDLIUMZdfbE6eNSEqYkQeA6sLmZIlSyYNka5YsSLTp0/nwoULTJs2jQIFClh1LcMw6N+/P0uXLmXDhg0ULVr0P8/Zv38/gNWvJSKS1sIjw1kTtpplz5ek+wLL5+LZvh3xWbACnFI9lkJErGD1/2lvvPEGly5dAmDEiBE0bdqUefPm4ezszOzZs626Vr9+/Zg/fz7Lly8nZ86cXL58GQBPT09cXV05efIk8+fPp3nz5nh5eXHw4EHefPNN6tWrZ9XoKBGRtBa0N4hXf+7F178Y9PqrMTr03d4EjJlu22AiWYzVfWT+KTo6mmPHjlG4cGHy5s1r3Ys/ZEKoWbNmERgYyPnz5+ncuTOHDx/mzp07+Pn58cILLzB8+PAU3zJK6T02EZGUCo8MJ2BcYb5bbND+KCSa4NWWJkZ8f04dekXSSEq/vx+57dPNzY0qVaqk6tz/qqH8/PzYtGlTqq4tIpJe9oWGsHyeQeNTEOsIHdvCkjIGnW6EqZARecxSXMj8fWbdf/PBBx+kOoyISEZ39tQ+fNt2p/JZiMoGrV+C9cXA0eRIcU12J/LYpfjWkoODAwULFiR//vwPbUkxmUypHrmUXnRrSUTSysG9q3Bu3oJSVxK56WqieWfYUcjA0WSZ7K5nlZ62jiiSaaT5raVmzZqxYcMGqlWrRo8ePWjRogUODlYPehIRsUsb18+kSPtXKHLT4KqnE8aqVSwqU5KwG2Ga7E7EhlJcifz666+cPHmSmjVr8vbbb1OoUKGkWXZFRDKzn5aMJuCFnhS5aXAhvyuuO/bgXashvh6+1C9SX0WMiA1Z1aRSsGBBhg4dyvHjx1m4cCFXr16levXq1KlTh5iYmPTKKCLy2IVHhrPh1AY+m9aFp7oOp9BtCPfzJN+eP8hZStM/iGQUqR61VL16dc6cOcPRo0fZt28f8fHxuLq6pmU2ERGbCNobRO8Vval4wcya7yFvDFwqlp9C2w5h+mtmcxHJGKzu5LJ9+3Z69eqFj48PU6ZMoVu3bly8eFEdaUUkUwiPDKf3it5UP2dmwxxLEfN7ITCvX68iRiQDSnGLzNixY5k9ezbXrl2jU6dOhISEaHZdEcl0/vjzD+qcNvPrfMgZB1v8oHkn+Nm4RiFbhxOR+6S4kHn33XcpXLgwL774IiaT6aHLEUyYMCGtsomIPFZmw8yWWR+yai64JcD6ovD8S3A3u+aIEcmoUlzI1KtXD5PJxJEjRx56zMOWHBARyegMw2Dqhy0Y+uk2sifCygBo8yLEO1vmiNHIJJGMKcWFzMaNG9MxhoiIbX0/si29Rq3E2Qzhz1Sj/MIFrLxzXnPEiGRwWmdeRLK8xWO68vLIpWQzw8lnq1Hs122QLRu++YrZOpqI/AdNzSsiWdrK8X1pOfx7spnhj0aVKPbbdsiWzdaxRCSFVMiISJYV/MUgGr4zDWczHHymDKVX7gInNVSL2BMVMqkUHhlO8OlgwiPDbR1FRKwUHhnOwjGdqfPmRJzNsKdeAOVX71cRI2KH9H9tKtyb9dNsmHEwOTCjxQyteitiJ4L2BrF8fC9+WmDgbIZ11fLQYN1hTLqdJGKXUtUiExISQufOnalduzYXLlwA4Pvvv2fLli1pGi4jujfrp9kwA5Z5J/qs6KOWGRE7EB4ZztIJvVi00FLE/FgGnmt+i4sxV20dTURSyepCZvHixTRp0gRXV1f27dtHbGwsABEREXzyySdpHjCjCb0emlTE3JNoJBJ2I8xGiUQkpQ7O+pTFCwxcEmFRGejUFuIczPr/V8SOWV3IjBo1imnTpvHNN9+Q7W9NsXXq1GHv3r1pGi4jCvAKwMF0/x9bPrd8NkgjIil1etE3NHzrK1wS4afS0LEtJDiCo0mz9orYM6sLmePHj1OvXr37tnt6enLr1q20yJSh+Xr4MqPFDBxNjsm2vx/8PoZh2CiViPybc7/Ox7tTb1wSYVV5Nzq3d0gqYjRrr4h9s7qQ8fHxISzs/mbYLVu28MQTT6RJqIyuZ5WehDdfx7XNtVjTYDbZHLKx9NhSvtj5ha2jicg/XNiwnNxtO+MWD1vK5qRGyEnC3jpLcLdgzgw8o476InbO6kKmV69evPHGG+zcuROTycTFixeZN28egwcPpm/fvumRMeMxDHzeeA+vDTt4tu3bLMrVG4C3177N7xd+t3E4Ebnn8va1uLVsQ85Yg50BbpTceJg8nj74evhSv0h9tcSIZAImw8r7IYZh8MknnzBmzBiio6MBcHFxYfDgwXz88cfpEvJRREZG4unpSUREBB4eHml34RMnoH17OHgQw2RicZtSdCj7B365/dnbZy95XPOk3WuJiNX+3LcVnn6afLcT2e/vgs+2Q/gUDLB1LBFJoZR+f1tdyNwTFxdHWFgYUVFRlClTBnd391SHTU/pVsgAxMTAwIEwYwYAO4pn54Xn71KjWiuWdVim1cBFbOTGH3uJe7ImPrcSOFowGzm37cHPv7ytY4mIFVL6/W31raWIiAhu3LiBs7MzZcqUoUaNGri7u3Pjxg0iIyMfKbTdcXWF6dNh3jxwd6dW2F32T4M7v/3MhO0TbJ1OJEs6fjCY2/Vq4XMrgdD8Trht2KIiRiQTs7qQeemll1iwYMF923/88UdeeumlNAlldzp2hN27oXx5vO/Amu8h+r232X4m808QKJKRBK35jIRGDfC/Fs+pXPDb129SpGQNW8cSkXRk9a2lPHnysHXrVkqXLp1s+7Fjx6hTpw7Xr19P04CPKl1vLf1TTAzGgAGYvv0WgOBS2cm/bB1XneMI8ApQx0KRdLTreDBGgwbUuAjhOaFuDzifx5EzA8/o/z0RO5Rut5ZiY2NJSEi4b3t8fDwxMTHWXi5zcXXF9M03xMycQUw2E88cu0v22k/xxtgG+E/yJ2hvkK0TimRKv5/aQlTLxtS4CNdcoVFXOJNbs26LZAVWFzI1atRgxl+dW/9u2rRpVK1aNU1C2TvX7r3Yv/hrTueCYjdhexC0O6Q1mUTSw8KDP3Cm9dM8E5pAVDZo3gmO/zXRtmbtFcn8rF79etSoUTRq1IgDBw7QsGFDANavX8+uXbtYs2ZNmge0V3fLlaRab5i/GJqchIU/wecXEznZ8biauUXSgGEYfLxpJLmGfMiAQ5DgaGLDuNfYe2saGImatVcki0jV8Ov9+/fz+eefs3//flxdXalQoQJDhw4lICDjzdHwWPvI/E14ZDj+k/wh0cyoDTD0r36/56qVoPDKrZA372PLIpLZxMTH0PPnnhT9+gdGb7BsM8+di0OnToRHhhN2I4zieYqriBGxY+k+j4y9sFUhAxC0N4g+K/qQaCTS9gjMXgbu8XDF250cq9bjXkmjKURSKjwynNDroXhm9+S1X1+jwvKdzFjx187Jk2HAAJvmE5G0la6FjNlsJiwsjKtXr2I2m5Pte9CCkrZky0IGSPrXYZFcRVi5bByNB31FsZtwO7uJi99OomQnffiK/JegvUH0XtEbs2H5vHnhKCxaBI4G8N57MGqUbQOKSJpLt0Jmx44ddOzYkbNnz9632rPJZCIxMTF1idOJrQuZf9qxfwWmtu2oeSqWRBOsf6MlpT78kpM3TmqItsgD3LtNe6+IeeosrP0OsicCvXpZJqXULNoimU66Db9+9dVXqVatGocPH+bGjRvcvHkz6XHjxo1HCp0V1KrUghJ7zrDxaX8cDWg86Rd+edafZ2dpiLbIg4ReD00qYkpcg+U/WIqYPxs/BVOnqogRyeKsbpHJkSMHBw4coHhx+xjSmNFaZO4xzGY2929J3am/4QCseQJebA9RbprAS+TvzkWcw3+SP/mjYPu38MQt2OkLvrtOUMgn4w0wEJG0kW4tMjVr1iQsTBNMPSqTgwPmtwfTpgPcyQaNT8G2ICh4M5E//vzD1vFEMoxFRxbhGgc//2ApYsLyQNjsiSpiRARIxTwyr7/+Om+99RaXL1+mfPnyZMuWLdn+ChUqpFm4zC7AK4BfyjjwVC4zv8yHMtcsk+cNcn+d4oNWUjR3UVtHFLGpA5cPMHzdUH5YDDUvQHwuD9zX/kKnKhlrUIGI2I7Vt5YcHO5vxDGZTBiGoc6+qXBviHaBW4msnAflrkKkM3TukoOug2bTrkw7W0cUsYm7CXepNr0qvb87yoDfwXBxwbR+PdSpY+toIvIYpNuopbNnz/7rfn9/f2sul+4yeiED/x+iHeCQD6+OPcm+dSdxDtC9NXh0f5UJTSbgms3V1jFFHqs3V70JkyYxcfVfG378Edq3t2kmEXl8NCHeX+yhkEkmNhZzl844LPoJgHcawaoXyvFF8ykYhqEh2pIlrD25lq/fa8zihX915Bs3Dt56y9axROQxSun3t9V9ZO45evQo586dIy4uLtn2Vq1apfaSAuDigsOCheD3NkyYwNh1UPD2YRpceQbDARxMDsxoMYOeVXraOqlIurgefZ3Pv+rE0iV/FTH9+sGgQbaOJSIZlNUtMqdOneKFF17g0KFDSX1jwNJPBlAfmbQ0cWLSB/jsivBKK0h0tKzoqyHakhkZhkGvb1oy4u1f8YuExMaNcPx1JTil+t9cImKn0m349RtvvEHRokW5evUqbm5uHDlyhM2bN1OtWjU2btz4KJnln958k6MThpJggsAD8OMicE6ARCORsBsaAi+Zz9zfv+WVkZYi5m4xfxwXLlIRIyL/yupCZvv27YwcOZK8efPi4OCAg4MDTz31FGPGjGGAFm1Lcx49X6P9SyZiHaHNMfhlPrjF/fd5IvYkPDKceQfmkq1PX2pdgJicrmRfuRZy5bJ1NBHJ4KwuZBITE8mZMycAefPm5eLFi4BltNLx48fTNp3g6+FLi8Hf0LKzA1F/TZy39jsY+EM3rt65aut4Io8saG8Q/pP8OTKoCy8dSCTeAZyXLIcATXgnIv/N6kKmXLlyHDhwALDM8jt27Fi2bt3KyJEjeeKJJ6y61pgxY6hevTo5c+Ykf/78tG7d+r5i6O7du/Tr1w8vLy/c3d1p27YtV65csTa2XetZpSczvzjLiYVfkeCZkyfDYc7kcwROb0ZMfIyt44mkWnhkOL1X9KbVUTOfbLBsG9DcxKUapW0bTETshtWFzPDhwzGbLQu4jRw5ktOnT1O3bl1+++03vvjiC6uutWnTJvr168eOHTtYu3Yt8fHxNG7cmDt37iQd8+abb/LLL7+waNEiNm3axMWLF2nTpo21se2er4cvVV54DafNW0jIl5eKV2D8mL28PrNd0oJ6IvYm9HooFS6ambvE8vyLGjCtmqE+YCKSYmkyj8yNGzfInTt30sil1Przzz/Jnz8/mzZtol69ekRERJAvXz7mz59Pu3aWGW6PHTtG6dKl2b59O7Vq1frPa9r1qKWHCQvj7tN1yH7xKse84Mcpr/LBy1NtnUrEavsPrSV33cb4R8DqYvBcR8BJo/JEJB1HLT1Injx5HrmIAYiIiEi6HsCePXuIj4+nUaNGSceUKlWKwoULs3379gdeIzY2lsjIyGSPTKd4cbKHbOdOAS9KXYcOr09jzm9jbJ1KxCrxsTEkdmiPfwScyAMd2gFOjkxvMV1FjIikWIrGNVpzK2fJkiWpCmI2mxk4cCB16tShXLlyAFy+fBlnZ2dy/WPkgre3N5cvX37gdcaMGcNHH32Uqgx25YknyLF1FxG1K1PySgSmrsNYNN+VvAEVNfuv2IUtneryzB8RRDnD7QVzWBZQmOJ5iuvvrohYJUUtMp6enkkPDw8P1q9fz+7du5P279mzh/Xr1+Pp6ZnqIP369ePw4cMsWLAg1dcAGDp0KBEREUmP8+fPP9L1MrSiRfHYtpdr+dwpcR0qvfwmXaY0wH+SP0F7g2ydTuShdox/k2cW7wHg6GeDqfpsV+oXqa8iRkSslqIWmVmzZiX9PGTIEF588UWmTZuGo6MjYBmS/dprr6W6D0r//v1ZsWIFmzdvxtf3/x9kPj4+xMXFcevWrWStMleuXMHHx+eB13JxccHFxSVVOeyR6YkniFn7G6fr1yPgBmycDc8Emumzog9NijfRF4NkOKc3/0z5oZMA2PhiDeoP/Ny2gUTErlndR2bmzJkMHjw4qYgBcHR0ZNCgQcycOdOqaxmGQf/+/Vm6dCkbNmygaNGiyfZXrVqVbNmysX79+qRtx48f59y5c9SuXdva6JlWmEcC9QPhVC4ofhPWfQdetzX7r2Q8UVfO49i2HTniYXeZXDz1/SZbRxIRO2d1IZOQkMCxY8fu237s2LGkYdkp1a9fP+bOncv8+fPJmTMnly9f5vLly8TEWOZG8fT0pGfPngwaNIjg4GD27NlD9+7dqV27dopGLGUVAV4BhOd2oH4gnPWEktctk+YVTnS3dTSRJEZCAmHNalL4Wjznczvi99tWnJyz2zqWiNg5qxcx6d69Oz179uTkyZPUqFEDgJ07d/Lpp5/SvXt3q641daplyHD9+vWTbZ81axaBgYEATJw4EQcHB9q2bUtsbCxNmjTh66+/tjZ2pubr4cuMFjPos6IPDbsmEjILKlyF0CaNSdx9EsdcuW0dUYRdr7akxr5LxDjBtbkzqOxfxtaRRCQTsHoeGbPZzLhx45g8eTKXLl0CoECBArzxxhu89dZbyW45ZQSZch6ZhwiPDCfsRhixB/ZSteNb5I2GsLIFKbbzBKYcOWwdT7Ko8Mhw9sweQ8uBX+NgwKr3O9J05DxbxxKRDC6l39+PNCHevTlaMnKBkJUKmb9bs+hTanYZimcsnK4eQNGQQ5CFOkFLxhC0N4gP5/di71SDfNGwpG5eXth0NU3mnRKRzC1dJ8RLSEhg3bp1/PDDD0kfSBcvXiQqKip1aSXNNW7/Lqu+GMCdbFB0VyjnmtWBhARbx5IsJDwynL7LezF/kaWI2ecDXZ6+wYXbF2wdTUQyEasLmbNnz1K+fHmef/55+vXrx59//gnAZ599xuDBg9M8oKReh96Tmftxe+46QuHgPZzv8jw8+ooUIikSej2UkesN6p6DSGdo3x6incwaTSciacrqQuaNN96gWrVq3Lx5E1dX16TtL7zwQrJh0pIx9HpnAVPffAoz4LfgNy6+3dfWkSSLcF29gXe3Wn7u+Tyc9AJHkyPF8xS3bTARyVSsLmRCQkIYPnw4zs7OybYXKVKECxfUZJzROJgceG3MOr7oWgKAguOns/P9HoRHhts4mWRmEccPUuqtTwCYUgN+KmspYrSOkoikNasLGbPZTGJi4n3bw8PDyZkzZ5qEkrTl4uRCjxm7mPSs5fdTbfQsBvQprGUMJF0YcXFcadmAXNFmDhR25tnF+wnuFsyZgWfoWaWnreOJSCZjdSHTuHFjJk2alPTcZDIRFRXFiBEjaN68eVpmkzQUGRvJW3Wi+KYKOBow7yeD777qrZYZSXMHX32BEqHXuZkdjB8WUMq3otZREpF0Y3UhM378eLZu3UqZMmW4e/cuHTt2TLqt9Nlnn6VHRkkDoddDMWPQ9zlYXhJcE2DZfDPh29fYOppkIueWzaH87N8A2DisI5WefMHGiUQks0vVPDIJCQksWLCAgwcPEhUVRZUqVejUqVOyzr8ZRVadR+afwiPD8Z/kj9kw4xoHa7+HOufhan538h0Mw+TtbeuIYudir1zkVqkieN+K57enC9I0+DwOplTN8CAi8ngmxLMHKmT+L2hvEH1W9CHRSCRftIlt3xgUvwnhZQvju/s4ZNe6N5JKhsHBp0pQYVsYYXkdyHHoOAV8NDpJRFIvpd/fVq+1BJYVqKdMmcIff/wBQOnSpenfvz+lSpVKXVp5LHpW6UmT4k0IuxFG8TzFCa46Da9uo/E9co7TLzxD0d+2gWZclVQ4NGoAFbaFEecAF2eMp56KGBF5TKxu9128eDHlypVjz549VKxYkYoVK7J3717Kly/P4sWL0yOjpCFfD9+kjpddXhzFjyM7EO8ARVft4OSArraOJ3boz92bKfbxlwD82qMO9V4YaNtAIpKlWH1rqVixYnTq1ImRI0cm2z5ixAjmzp3LyZMn0zTgo9KtpX9nNszM6F+bV7/+HYCzX3yM/+vDbZxK7MW5q6HEVK1IyfAYtpd2p/L+K2R3drN1LBHJBNJtraVLly7Rtev9/3Lv3Llz0mrYYj8cTA50n7yZeS0KA1Dgzfe5vEota/LfgvYG8eMLJSgZHsOfbrBz1GsqYkTksbO6kKlfvz4hISH3bd+yZQt169ZNk1DyeLk4ufDcwn2sqeyBcyI4vdiBP/avJfh0sOaZkQcKjwznu696MWib5XnPVjD48Hj9fRGRx87qzr6tWrViyJAh7Nmzh1q1agGwY8cOFi1axEcffcTPP/+c7FixD7nc8lD2110crVqOMpfiOfVcY5p1h3hnB2a0mKEZWSWZdQeWMXOpgQMwsxL8UgowEgm7EaaJ70TksbK6j4yDQ8oacUwm0wOXMnjc1EfGOls2fU/pZl3xioHZFaF7a3B0cOTMwDP6ghIATt44SUjzcgTuvMtZTyjfF25nt6ylpL8nIpJW0q2PjNlsTtEjIxQxYr34wr682B4STRB4AAbshMS//qUtcun2JUYOq0PgzrsAvNLaIamI0YKQImILqZpHRjKvAK8ANhZzYHBjMxNXw/jVcNTbRPE8mhckq7sZc5N2Mxrx4/wrANx5tSezPvswaV4iFTEiYgupKmR27dpFcHAwV69exWw2J9s3YcKENAkmtuHr4cuMFjPoY/Sm8iUzXQ/CwkWQfVgk6M5clhUdH03LH1rSd85RCt2GuOJFyTH+C3K4uamAERGbsrqQ+eSTTxg+fDglS5bE29sb099mgjVpVthM4d4MwHtbbeVAq85UDE/g1HP1eOLwBXBxsXU8ecziE+Npv6g93qu30vkQGA4OOH8/H9w01FpEbM/qQmby5MnMnDmTwMDAdIgjGYWvhy++lTuw4weDG41f5omw6/zR7TlKL1hn62jyGJkNM92Xd2fn/t84+qtlm2nIEPhrxKKIiK1Z3dnXwcGBOnXqpEcWyYBqPfUSa97vBEDphesJ/2a8jRPJ4xAeGc6GUxt45edXmHdoHpPXmMh/ByhbFkaMsHU8EZEkVg+/Hjt2LBcvXmTSpEnpFCltafj1o0s0J/Jjq2K8/OtZ7rg44LB7D67lKtk6lqSToL1B9F7RG7Nh6f/W7AT8Nh9wcIDt26FGDdsGFJEsIaXf31YXMmazmeeee44TJ05QpkwZsmXLlmz/kiVLUpc4naiQSRtXbl3gZNWiPHkqnnD/3PgeDVcfiUwoPDIc/0n+SUWMeywc+QoKRwKDBsF4tciJyOORbvPIDBgwgODgYEqUKIGXlxeenp7JHpI5eecqROK8uVzOAb5nb3Ly5aa2jiTpIPR6aFIRAzBmnaWIifErAP9YKFZEJCOwurPvnDlzWLx4Mc8991x65JEMrG6tF5n18a90fes7iv0cwrGJ73GpdSMCvAI0BDeTCPAKwIQJA4OnzkL/XZbtUV9OwDVHDtuGExF5AKtbZPLkyUOxYsXSI4vYga5vzGR26yIAFHr3E16Z1AD/Sf4E7Q2ybTBJEz7uPni5eeESD9/+tWza8eefIl+rl2wbTETkIawuZD788ENGjBhBdHR0euSRDM7RwZGKkxewuTDkjIP5i8EhwUyfFX208nEmMO/gPK5FX+OTbdkpeR0SvfNTctbP/32iiIiNWH1r6YsvvuDkyZN4e3tTpEiR+zr77t27N83CScZ0OyGabm3gwDSoeQE+3AjDG2rlY3uXYE5gVMgoylyFNzbHAeD49VTIndvGyUREHs7qQqZ169bpEEPsSYBXABdyO9CrpZmfFsHQENhQzEHrMdm5BYcXEHY9jG0rnXBMTIBWraBNG1vHEhH5V1YPv7Y3Gn6dPoL2BtFnRR+mLUvklX1wJZcT+cMuY/LysnU0SYVEcyJlvy5LrXXHmb0cy9D6o0fB39/W0UQki0q34dciYFmP6czAM7hM+ZoTXuB9K4FT7RpC5q6LM62FRxby5/njjFv313ppI0aoiBERu5DiFpncuXOnaFHIGzduPHKotKQWmfT3w5y3adtjHM5muPDFKAq9/p6tI4kVEs2JlJ9anoEz/6D3XizLEOzbB//o/yYi8jil9Ps7xX1k7GVJAnn8OnT9jFm/Lafnj6F4vPMBcS064FxU/WXsxU9Hf8Jz319FDMDUqSpiRMRuqI+MpIlLt8IJr1iU6ucSCK3sT8Ce05CCFjyxLbNhpvKX5Zkz+iiVrgCBgTBrlq1jiYioj4w8XgVy+XJr2iSinSBg31lOjB5k60iSAkv+WEKDXy1FjDl3Lhg71taRRESsokJG0syzzfqxPLAWAL4fTybiiOYUysjMhpmvfn6fj4Itzx0+Gwv58tk2lIiIlVTISJpqOWU1O4q74hZncKldE4yEBFtHkodYdmwZXRYewyMOEqpWgZ49bR1JRMRqKmQkTbln98Dlu3ncdoZSx66xZVA7gk8Ha/mCDMYwDBbPeZce+y3Pnb78Chz0cSAi9sfqT66RI0c+cJ2lmJgYRo4cmSahxL5Vrv0Cmwa0AqDq1OVaWDID+vnYcvrNCwUg9uUXoVYtGycSEUkdq0ctOTo6cunSJfLnz59s+/Xr18mfPz+JiYlpGvBRadSSbZy5eZqTVZ+g4WlYXxQadbUsOHlm4Bmtx2Rj5yPOM6l/dcbPvUJs9my4nDwDBQvaOpaISDLpNmrJMIwHTox34MAB8uTJY+3lJJM6fesMvVtCtBM0PA3d90GiYVlYUmwnaG8QZT4rzKDlVwDYHdhYRYyI2LUUT4h3b2Zfk8lEiRIlkhUziYmJREVF8eqrr6ZLSLE/AV4BnPFy4INnzIxbC+PXwOoSWljSlsIjw+m9ojcjt0Ch23AyNzTOu5LjkeFqJRMRu2XVzL6GYdCjRw8++ugjPD09k/Y5OztTpEgRateunS4hxf74evgyo8UMXkvszUuHzVS7BHODc+P7ub4wbSX0eij+1828tc3yfFATiHYyE3YjTIWMiNgtq/vIbNq0iSeffJJsdjKFufrI2FZ4ZDhbf/6Ktl0/xcmAP2Z8QuleQ20dK0s6H3GeXbUK0+YYrH0CGndRvyURybjSrY9M0aJFuXTpEufOnXvgwxqbN2+mZcuWFCxYEJPJxLJly5LtDwwMTLqdde/RtGlTayOLDfl6+NKh8xjWtKkAQJ63PyDh5nUbp8qazv06nzbHINEEA5taipjpLaariBERu5biW0v3FClS5F9XwbZm1NKdO3eoWLEiPXr0oE2bNg88pmnTpsz629ovLi4uKQ8rGUaN6SsI21SE4tcS2NfnBSr/uNnWkbIUw2wm5/CPAdjWpAxfvf0VxfMUVxEjInbP6kJm3759yZ7Hx8ezb98+JkyYwOjRo626VrNmzWjWrNm/HuPi4oKPj4+1MSWDyevlx66P3qB4v4lU+CmEq1vWkP+pxraOlWXsmTKUaqfvEOUMpb9aSN4i5WwdSUQkTVhdyFSsWPG+bdWqVaNgwYJ8/vnnD21ZSa2NGzeSP39+cufOTYMGDRg1ahReXl4PPT42NpbY2Nik55GRkWmaR1KvSd9xrJs1h0a7b3CrR0fyH7uq2WQfAyM2Fu/RkwHY0aEOjZ5QESMimUeafYuULFmSXbt2pdXlAMttpe+++47169fz2WefsWnTJpo1a/avt6/GjBmDp6dn0sPPzy9NM0nqOZgcKDDjB247Q4nQ6xwd+7atI2UJR0a+jt+fsVx2N1Hx8+9tHUdEJE1ZPWrpny0chmFw6dIlPvzwQ44dO8b+/ftTF8RkYunSpbRu3fqhx5w6dYpixYqxbt06GjZs+MBjHtQi4+fnp1FLGcjSXnV54dst3MzhgNvJ87h4a0K29GLcvEmEXz5y3UlkycAmtJm4ytaRRERSJKWjlqy+tZQrV677OvsahoGfnx8LFiywPqkVnnjiCfLmzUtYWNhDCxkXFxd1CM7gGkxYyh8rClD6cgL7Xnmeyr+kbUue/F/YkFcIuJPIsXwm6n0029ZxRETSnNWFTHBwcLLnDg4O5MuXj+LFi+PkZPXlrBIeHs7169cpUKBAur6OpC/PnHn5/dNhlA4cSeUVu7m4ZgkFG6dt3yoB4+xZCs9aCsDO19vQzUOd5kUk87H61lJaioqKIizMsvZO5cqVmTBhAs888wx58uQhT548fPTRR7Rt2xYfHx9OnjzJO++8w+3btzl06FCKW100IV7GZBgGq+sWpOnWy5zwz8mF9UsJyFdSw4HT0LkXGlJ42QZCijpQ+tBl8ubIZ+tIIiIplm4T4gEcP36c/v3707BhQxo2bEj//v05duyY1dfZvXs3lStXpnLlygAMGjSIypUr88EHH+Do6MjBgwdp1aoVJUqUoGfPnlStWpWQkBDdOsoETCYTT8xYRIQLlDh7m+/eaoT/JH+C9gbZOlqmYBw5gu/yDQAcfKuLihgRybSsbpFZvHgxL730EtWqVUtaW2nHjh3s2rWLBQsW0LZt23QJmlpqkcm4wiPDmdzOj8/XwuUcUOJ1iHbVlPlp4WKTJym4Zjs/l3HkyV2XyeuW19aRRESskm4tMu+88w5Dhw5l+/btTJgwgQkTJrBt2zaGDRvGO++880ihJWsJvR7K5JoQmgd87sCwEEg0Egm7EWbraHbN2L2bgmu2YwZODequIkZEMjWrC5lLly7RtWvX+7Z37tyZS5cupUkoyRoCvAJIzObAW39N8PvmDgi46UDxPMVtG8zOXR3UB4CFlZzo/PIYG6cREUlfVhcy9evXJyQk5L7tW7ZsoW7dumkSSrIGXw9fZrSYwW+lHFj7BLgkwrcheXRb6RFcWbUY75C9xDvAhUGvqDVGRDI9q8dLt2rViiFDhrBnzx5q1aoFWPrILFq0iI8++oiff/452bEi/6ZnlZ40Kd6E4OJTSOwylnp7r3Fu2RwKt+5m62h2J2jPtwT06YU3EFQZsgWUsnUkEZF0Z3VnX4cUro1jMpmsWgk7vaizr/1Y0bgILdae5UxhD4qcvA7pPC9RZhIeGU6v/oVZ+b3BXUcoPgAu51LHaRGxX+nW2ddsNqfokRGKGLEvAVPmc8MVipyLJGz8cFvHsSuh104wcr3l3yRfV4cLnuo4LSJZg5YelgyjZMknWfdyTQA8P52AERVl40T2o+y2UKpfhNvOMOavrmqOJkd1nBaRTC9Vbffr169n/fr1XL16FbPZnGzfzJkz0ySYZE11P1vAmaVPUORmPIff6025yfNtHSnjM5tx+uhjACbVgms5LEXM9BbTdVtJRDI9q1tkPvroIxo3bsz69eu5du0aN2/eTPYQeRQF8hZh92utASgyfQHxly/aNpAdiPt5KXnCLhDpDE5vvU1wt2DODDxDzyo9bR1NRCTdWd3Zt0CBAowdO5YuXbqkV6Y0pc6+9ud2TASnAvJS8UICB198mgoLN9o6UsZlGFwqX4QCR87xVYOc9Fx9lexO2W2dSkTkkaVbZ9+4uDiefPLJRwon8m9yunpyduhrAJT+aRO3j+6zcaKM687qFRQ4co4YJ8j17ocqYkQky7G6kHnllVeYP1/9FiR9NXt1HJtLu5HNDGf6dbJ1nAzryntvAPDTk7no0HCAjdOIiDx+Vnf2vXv3LjNmzGDdunVUqFCBbNmyJds/YcKENAsnWVc2x2wkjBmNufWblN/4B1eDV5D/mRa2jpWh3Nq0mif2nibeAXK/PxonB827IyJZj9V9ZJ555pmHX8xkYsOGDY8cKi2pj4z9MgyDlU/50HzbVf4oX4DSB9Xx9+8O1y5OuR0nWf5kHlpu+RMHk2ZTEJHMI6Xf31b/Ey44OPiRgomklMlkwnv8NGKfakPpQ5f4bdpgKnQcqCHFwOXtaym34yRmIPcHn6qIEZEsS59+kqFVrfUCS+vlAyDPqPH4TyxM0N4gG6eyvbPv9gVgY/W81G38io3TiIjYTopbZNq0aZOi45YsWZLqMCL/FB4ZzqCq12gVArUuQPPjBn1MfWhSvEmWbZk5vWst1UJOApDno88xmUw2TiQiYjspLmQ8PT3TM4fIA4VeD+WSu8EXNeHdrfDxBvg1wLKGUJYtZIa+SlEDdlXKR/VmgbaOIyJiUykuZGbNmpWeOUQeKMArAAeTA2PrmOm7GypdgRf/MGXZNYSO7F3NU8GnAPAcOdbGaUREbE99ZCRD8/XwZUaLGUTmcGR8bcu20ZucKOTqbdtgNhL63qs4m+FomXyUaBlo6zgiIjanQkYyvJ5VenJm4BmqfDaHa25Q7Go8f0x8z9axHrsVW2fReN0ZADw/+sy2YUREMggVMmIXfD18aV2jK1teqgNA7s+/wIiNtXGqx+fbvd+yf2gP3BJgV0FYVTTR1pFERDIEFTJiV2qMns0ldyhwLZYTY4fYOs5jER4Zzts/9ab/75bnn9SFPr++SnhkuG2DiYhkACpkxK4U9ClOSJd6AOSeOBXj7l0bJ0p/oddDefV3g1yxcCQfLC8JiYZl5JaISFanQkbsTp2PZnHeA/LfjOPE2HdtHSfdme9E8eZ2y89jngLDARxNjll25JaIyN+pkBG7UyjfE2zv9FerzKRpkMn7ylya9DH5o+FULlhQzlLETG8xPcvOoyMi8ncqZMQuPflhEOEekP9mLCc+z7ytMuHXTvH0ol0ARL35Gut6BHNm4Bl6Vulp42QiIhmDChmxS775i7Pt5boAeE6cmmlbZbZ90he/SLiWy5kK74ynfpH6aokREfkbFTJit2p/FMSFnOB9I5bj44faOk6ai7hzg6rfrQXg6qtdIHt2GycSEcl4VMiI3fLzDmBrx6cA8JzwNcTF2ThR2to0rj/FrhvcyuFIqWETbB1HRCRDUiEjdq32RzO5mBN8rsdyYtwwW8dJM7Hxdyk+fREAp7u0xCGnh40TiYhkTCpkxK75eQew5aUnAfCc8GWmaZUJ+WoIZS4lEOViouzH02wdR0Qkw1IhI3av9shZXHIH7+uxnJhg/2swmc2J5Jv8DQBH2j6Nc96suUCmiEhKqJARu+fnUyKpVSbnuClsPL7Grqfv//37z6h4JoYYJyj9yQxbxxERydBUyEimUOvjWVx2hwLXY5n7dhP8J/kTtDfI1rFSJdvYzwHY26wSHv4BNk4jIpKxqZCRTMHk5sbnlkYZ3gsBhwQzfVb0sbuWmSO/zKTq0VvEO8ATn0y1dRwRkQxPhYxkCqHXQ5laDa7kgKK3oOsB+1xYMXrkcAB21C9GgXK1bJxGRCTjUyEjmUKAVwCxLg58VsfyfPhmcDE72NXCiue3/Eb13ZcwA94jNW+MiEhKqJCRTMHXw5cZLWbwTXWHpFaZObcb2dV0/peHDwRgaw0fStRpZdswIiJ2QoWMZBo9q/Tkj3fOsvKF8gA89f0mDDuZV+b6wZ1U2RwKQPb3P7JxGhER+6FCRjIVXw9fmn6+lCs5oNC1WI6Mt4+VsU+8+wqOBoSUzUm153rZOo6IiN1QISOZjo9PMXZ2rAdArglfZ/hWme9WfELV1YcBGFrzNjP3zbRxIhER+6FCRjKlWqNmczUH+F6L5cD4d2wd56HCI8O5Mfo9nM2wyR+2FsYuh42LiNiKChnJlPLnL8quTvUB8JowNcO2yhw5spHeuy0/f1LX8l97HDYuImIrKmQk06o5ajZ/5jDhdy2OfePesnWcB3KYPBm3BNhdANYUs2xzNDna1bBxERFbUiEjmVbefP7s7tzA8vOkGZjjM1arzNVzx6i5zNIc88nTJjBZipjpLabb1bBxERFbsmkhs3nzZlq2bEnBggUxmUwsW7Ys2X7DMPjggw8oUKAArq6uNGrUiNDQUNuEFbtUc9Qs/sxhovCfcewe+6at4ySze1g3PGIhtJArk78+TXC3YM4MPEPPKj1tHU1ExG7YtJC5c+cOFStW5Kuvvnrg/rFjx/LFF18wbdo0du7cSY4cOWjSpAl37959zEnFXuXJ68e+zg0B8Jn0DYlxsTZOZHH67AFqL/4dgLghg/HL7U/9IvXVEiMiYiWTYRiGrUMAmEwmli5dSuvWrQFLa0zBggV56623GDx4MAARERF4e3sze/ZsXnrppRRdNzIyEk9PTyIiIvDw8Eiv+JKBRVy/SLy/L3nvGOz4+FVqDbf9YowLO1eiw7wDnC/ght/5SHB0tHUkEZEMJaXf3xm2j8zp06e5fPkyjRo1Strm6elJzZo12b59uw2Tib3x9CrIgS6NASgwOYiEONu26B06tYMGSw8AkDj0XRUxIiKPIMMWMpcvXwbA29s72XZvb++kfQ8SGxtLZGRksodIjdGzuZbDhP+1eHZ8NsCmWXa+35180XDZ250ifYfaNIuIiL3LsIVMao0ZMwZPT8+kh5+fn60jSQaQM48Ph7o2BcB/0kzWHf3VJpPObfljNS2WHwPANHQoODk99gwiIplJhi1kfHx8ALhy5Uqy7VeuXEna9yBDhw4lIiIi6XH+/Pl0zSn2o/roWVzKacLvRiK/vNUC/0n+BO0NemyvbxgGB9/vjc8duOadE+++gx/ba4uIZFYZtpApWrQoPj4+rF+/PmlbZGQkO3fupHbt2g89z8XFBQ8Pj2QPEYBbjvGMqG/p2/7+JnCPMT/W5QBW7v6Bl349B4DjyFHg7PxYXldEJDOzaSETFRXF/v372b9/P2Dp4Lt//37OnTuHyWRi4MCBjBo1ip9//plDhw7RtWtXChYsmDSyScQaoddDmVkJjnlB3hgYvO3xLQeQaE7k3AdvkOcuXPHPS+6e/dL9NUVEsgKb3qDfvXs3zzzzTNLzQYMGAdCtWzdmz57NO++8w507d+jduze3bt3iqaeeYtWqVWTPnt1WkcWOBXgFYDg5MLSRmaULYdB2mFqdx7IcwE8bv6bz+msAuH86QSOVRETSSIaZRya9aB4Z+bugvUH0+aU3m78182Q4TK8KPnOX8Xyp59PtNe8m3GVew/z03HybyyUL4fPHeTCZ0u31REQyA7ufR0YkPfSs0pMzb57FdcIXALyyFz7/uhOh19Nn6YvwyHDGftuDrltuA5B74jQVMSIiaUiFjGQ5vh6+VG7/OuYX2+NowKfL7tB2YRvuxN1J09cJ2huE/yR/qk74gWxm2FfNF5dmLdL0NUREsjoVMpJlOYyfgNnNlafOQ4V1h3n111dJqzut4ZHh9F7Rm2dPmHkuFOIcoGPtizaZu0ZEJDNTISNZl68vDsPfB+DztfDLzrlM3f3o6zAZhsHkHZNxijczaZVl25SacMzL/FhGSImIZCUqZCRrGzQISpSgQBRMXA0DVw1kR/iOVF8uPDKc5vObM277OIaFQKnrcDkHfFwPHE2Oj2WElIhIVqJCRrI2FxeYORPDZKL7fnj2WDztfmzH1TtXrbqMYRjM3j+bcl+XY1XYKipfy8Z7Wyydel9vDlFujkxvMR1fD990eBMiIlmXChmROnUw/TWH0awVjkRfucALC19g3al1/9qnJTwynODTwey+uJuWP7Sk+/LuRMRGUCd/NbZtDsAp0SDmucb0+2wDZwaeoWeVno/rHYmIZBmaR0YEICYGKleG48f5taSJlh0MDAcwYaJvtb60LtUad2f3pMfy48t5a81bmA1z0iWcHZ0ZWX8kby+6gMMXU8DLCw4cgEKFbPjGRETsU0q/v1XIiNyzbx/Gk7Ux3Y3lg/rwcX3rTl/XZR0ND0RCmzaWDb/8Ai003FpEJDU0IZ6ItSpX5tjINwD4cCN0OvD/XUVzFaVorqLkz5EfF0eXB56e63AYdO5sefLmmypiREQeA7XIiPxNeGQ4i5v48cYOSDBBh/awvKwjZwaeSeqoGx4Zjv8k/2S3lapcduD3RblwvH4DmjSBFSvAyaZLmYmI2DW1yIikgq+HL+5TZjC7kgknA35cBFsi2uKbs1CyY2a0mIGjybLwY4tQB7bNy24pYqpVgx9/VBEjIvKYqJAR+Yee1XrRaMNpLr3YHEcDak34ERo2hB074K8GzJ5VenL+hRAuHm3OL/PMuNyOhjp1YN06UMufiMhjo1tLIg9jGPDll/DOO3D3rmWbry8ULQrXrsEff/z/2H79YPx4y7w0IiLyyHRrSeRRmUzw+utw9Ch07QqurhAeDiEhliLGZLK01GzbZil4VMSIiDx2apERSanISMu8MBcuQK5cUKUK5M9v61QiIplSSr+/1SNRJKU8PKBuXVunEBGRv9GtJREREbFbKmRERETEbqmQEREREbulQkZERETslgoZERERsVsqZERERMRuqZARERERu6VCRkREROyWChkRERGxWypkRERExG6pkBERERG7pUJGRERE7JYKGREREbFbmX71a8MwAMty4CIiImIf7n1v3/sef5hMX8jcvn0bAD8/PxsnEREREWvdvn0bT0/Ph+43Gf9V6tg5s9nMxYsXyZkzJyaT6b791atXZ9euXVZfNzIyEj8/P86fP4+Hh0daRJV0kNrfrz2zp/ecUbI+zhzp+Vppfe20ut6jXEeftRlfev2dNgyD27dvU7BgQRwcHt4TJtO3yDg4OODr6/vQ/Y6Ojo/0P4eHh4f+58rAHvX3a4/s6T1nlKyPM0d6vlZaXzutrpcW19FnbcaVnn+n/60l5p4s39m3X79+to4g6Sgr/n7t6T1nlKyPM0d6vlZaXzutrpdRfs+SPmz9+830t5bSS2RkJJ6enkREROhfCSIi6USftfJfsnyLTGq5uLgwYsQIXFxcbB1FRCTT0met/Be1yIiIiIjdUouMiIiI2C0VMiIiImK3VMiIiIiI3VIhIyIiInZLhYyIiIjYLRUy6eDWrVtUq1aNSpUqUa5cOb755htbRxIRyZSio6Px9/dn8ODBto4iNpLplyiwhZw5c7J582bc3Ny4c+cO5cqVo02bNnh5edk6mohIpjJ69Ghq1apl6xhiQ2qRSQeOjo64ubkBEBsbi2EY/7kMuYiIWCc0NJRjx47RrFkzW0cRG1Ih8wCbN2+mZcuWFCxYEJPJxLJly+475quvvqJIkSJkz56dmjVr8vvvvyfbf+vWLSpWrIivry9vv/02efPmfUzpRUQyvrT4nB08eDBjxox5TIklo1Ih8wB37tyhYsWKfPXVVw/cv3DhQgYNGsSIESPYu3cvFStWpEmTJly9ejXpmFy5cnHgwAFOnz7N/PnzuXLlyuOKLyKS4T3q5+zy5cspUaIEJUqUeJyxJQPSEgX/wWQysXTpUlq3bp20rWbNmlSvXp0vv/wSALPZjJ+fH6+//jrvvvvufdd47bXXaNCgAe3atXtcsUVE7EZqPmeHDh3K3LlzcXR0JCoqivj4eN566y0++OADG70LsRW1yFgpLi6OPXv20KhRo6RtDg4ONGrUiO3btwNw5coVbt++DUBERASbN2+mZMmSNskrImJvUvI5O2bMGM6fP8+ZM2cYN24cvXr1UhGTRWnUkpWuXbtGYmIi3t7eybZ7e3tz7NgxAM6ePUvv3r2TOvm+/vrrlC9f3hZxRUTsTko+Z0XuUSGTDmrUqMH+/fttHUNEJEsIDAy0dQSxId1aslLevHlxdHS8r/PulStX8PHxsVEqEZHMQ5+zYg0VMlZydnamatWqrF+/Pmmb2Wxm/fr11K5d24bJREQyB33OijV0a+kBoqKiCAsLS3p++vRp9u/fT548eShcuDCDBg2iW7duVKtWjRo1ajBp0iTu3LlD9+7dbZhaRMR+6HNW0owh9wkODjaA+x7dunVLOmbKlClG4cKFDWdnZ6NGjRrGjh07bBdYRMTO6HNW0ormkRERERG7pT4yIiIiYrdUyIiIiIjdUiEjIiIidkuFjIiIiNgtFTIiIiJit1TIiIiIiN1SISMiIiJ2S4WMiIiI2C0VMiIiKRAXF0fx4sXZtm1bml531apVVKpUCbPZnKbXFckqVMiIZEGBgYGYTKb7Hn9f+0aSmzZtGkWLFuXJJ59M2mYymVi2bNl9xwYGBtK6desUXbdp06Zky5aNefPmpVFSkaxFhYxIFtW0aVMuXbqU7FG0aNH7jouLi7NBuozFMAy+/PJLevbsmS7XDwwM5IsvvkiXa4tkdipkRLIoFxcXfHx8kj0cHR2pX78+/fv3Z+DAgeTNm5cmTZoAcPjwYZo1a4a7uzve3t506dKFa9euJV3vzp07dO3aFXd3dwoUKMD48eOpX78+AwcOTDrmQS0YuXLlYvbs2UnPz58/z4svvkiuXLnIkycPzz//PGfOnEnaf6+1Y9y4cRQoUAAvLy/69etHfHx80jGxsbEMGTIEPz8/XFxcKF68OEFBQRiGQfHixRk3blyyDPv37//XFqk9e/Zw8uRJnnvuOSv/lOHMmTMPbP2qX79+0jEtW7Zk9+7dnDx50urri2R1KmRE5D5z5szB2dmZrVu3Mm3aNG7dukWDBg2oXLkyu3fvZtWqVVy5coUXX3wx6Zy3336bTZs2sXz5ctasWcPGjRvZu3evVa8bHx9PkyZNyJkzJyEhIWzduhV3d3eaNm2arGUoODiYkydPEhwczJw5c5g9e3ayYqhr16788MMPfPHFF/zxxx9Mnz4dd3d3TCYTPXr0YNasWcled9asWdSrV4/ixYs/MFdISAglSpQgZ86cVr0fAD8/v2StXvv27cPLy4t69eolHVO4cGG8vb0JCQmx+voiWZ5tF98WEVvo1q2b4ejoaOTIkSPp0a5dO8MwDOPpp582KleunOz4jz/+2GjcuHGybefPnzcA4/jx48bt27cNZ2dn48cff0zaf/36dcPV1dV44403krYBxtKlS5Ndx9PT05g1a5ZhGIbx/fffGyVLljTMZnPS/tjYWMPV1dVYvXp1UnZ/f38jISEh6Zj27dsbHTp0MAzDMI4fP24Axtq1ax/43i9cuGA4OjoaO3fuNAzDMOLi4oy8efMas2fPfuif1xtvvGE0aNDgvu2AkT179mR/jjly5DCcnJyM559//r7jY2JijJo1axotWrQwEhMTk+2rXLmy8eGHHz40g4g8mJNtyygRsZVnnnmGqVOnJj3PkSNH0s9Vq1ZNduyBAwcIDg7G3d39vuucPHmSmJgY4uLiqFmzZtL2PHnyULJkSasyHThwgLCwsPtaPu7evZvstkvZsmVxdHRMel6gQAEOHToEWG4TOTo68vTTTz/wNQoWLMhzzz3HzJkzqVGjBr/88guxsbG0b9/+obliYmLInj37A/dNnDiRRo0aJds2ZMgQEhMT7zu2R48e3L59m7Vr1+LgkLxB3NXVlejo6IdmEJEHUyEjkkXlyJHjobdS/l7UAERFRdGyZUs+++yz+44tUKBAikc7mUwmDMNItu3vfVuioqKoWrXqA0fw5MuXL+nnbNmy3Xfde8OXXV1d/zPHK6+8QpcuXZg4cSKzZs2iQ4cOuLm5PfT4vHnzJhVK/+Tj43Pfn2POnDm5detWsm2jRo1i9erV/P777w+8RXXjxo1k71FEUkaFjIj8pypVqrB48WKKFCmCk9P9HxvFihUjW7Zs7Ny5k8KFCwNw8+ZNTpw4kaxlJF++fFy6dCnpeWhoaLJWiCpVqrBw4ULy58+Ph4dHqrKWL18es9nMpk2b7mspuad58+bkyJGDqVOnsmrVKjZv3vyv16xcuTJTp07FMAxMJpPVmRYvXszIkSNZuXIlxYoVu2//vRanypUrW31tkaxOnX1F5D/169ePGzdu8PLLL7Nr1y5OnjzJ6tWr6d69O4mJibi7u9OzZ0/efvttNmzYwOHDhwkMDLzv9kmDBg348ssv2bdvH7t37+bVV19N1rrSqVMn8ubNy/PPP09ISAinT59m48aNDBgwgPDw8BRlLVKkCN26daNHjx4sW7Ys6Ro//vhj0jGOjo4EBgYydOhQAgICqF279r9e85lnniEqKoojR45Y8admcfjwYbp27cqQIUMoW7Ysly9f5vLly9y4cSPpmB07duDi4vKfOUTkfipkROQ/FSxYkK1bt5KYmEjjxo0pX748AwcOJFeuXEnFyueff07dunVp2bIljRo14qmnnrqvr8348ePx8/Ojbt26dOzYkcGDBye7pePm5sbmzZspXLgwbdq0oXTp0vTs2ZO7d+9a1UIzdepU2rVrx2uvvUapUqXo1asXd+7cSXZMz549iYuLo3v37v95PS8vL1544YVUTVq3e/duoqOjGTVqFAUKFEh6tGnTJumYH374gU6dOv3r7S0ReTCT8c8b1iIiaaR+/fpUqlSJSZMm2TrKfUJCQmjYsCHnz5/H29v7P48/ePAgzz77LCdPnnxgp+fUunbtGiVLlmT37t0PnJBQRP6dWmREJEuJjY0lPDycDz/8kPbt26eoiAGoUKECn332GadPn07TPGfOnOHrr79WESOSSursKyJZyg8//EDPnj2pVKkS3333nVXnBgYGpnmeatWqUa1atTS/rkhWoVtLIiIiYrd0a0lERETslgoZERERsVsqZERERMRuqZARERERu6VCRkREROyWChkRERGxWypkRERExG6pkBERERG7pUJGRERE7Nb/ANvTayw1X+SdAAAAAElFTkSuQmCC",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Vin = 12;\n",
    "L1 = 100E-6;\n",
    "rl = 10E-3;\n",
    "rc = 30E-3;\n",
    "C2 = 47E-6;\n",
    "Rload = 5;\n",
    "Fsw = 100E3;\n",
    "D0 = 0.417 \n",
    "Fmin = 1000;\n",
    "Fmax = 20000;\n",
    "\n",
    "\n",
    "### Analytical\n",
    "R0 = (rl + Rload) / (D0**2)\n",
    "W0 = (1/np.sqrt(L1*C2))*np.sqrt((rl + Rload) / (rc + Rload))\n",
    "WP = 1/(C2 * (rl + Rload)) \n",
    "Q = (L1*C2*W0*(rc+Rload))/(L1+C2*(rl*rc+rl*Rload+rc*Rload))\n",
    "tf = R0 * control.tf ([(1/W0)**2,1/(W0*Q), 1] , [1/WP, 1])\n",
    "\n",
    "omega_min = 2 * np.pi * Fmin  # Minimum angular frequency\n",
    "omega_max = 2 * np.pi * Fmax  # Maximum angular frequency\n",
    "omega = np.logspace(np.log10(omega_min), np.log10(omega_max), num=1000)\n",
    "\n",
    "imp_ref, phase_ref, omega_ref = control.bode_plot(tf, omega=omega, plot=False)\n",
    "\n",
    "frequency_ref = np.multiply(omega_ref, 1 / (2*math.pi) )\n",
    "imp_ref = 20*np.log10(imp_ref);\n",
    "phase_ref  = np.multiply(phase_ref, 180 / (math.pi) )\n",
    "\n",
    "### Simulation\n",
    "file_path = os.path.join(os.getcwd(), \"ACSweepTest.jsimba\")\n",
    "project = ProjectRepository(file_path)\n",
    "design = project.GetDesignByName('Buck Converter - CCM - Open Loop')\n",
    "design.Circuit.GetDeviceByName('Vin').Value = Vin;\n",
    "design.Circuit.GetDeviceByName('L1').Value = L1;\n",
    "design.Circuit.GetDeviceByName('rl').Value = rl;\n",
    "design.Circuit.GetDeviceByName('C2').Value = C2;\n",
    "design.Circuit.GetDeviceByName('Rload').Value = Rload;\n",
    "design.Circuit.GetDeviceByName('Fsw').Frequency = Fsw;\n",
    "acsweep =  project.GetACSweepByName('AC Sweep - Buck CCM - Input Impedance');\n",
    "acsweep.Design = design;\n",
    "acsweep.Fmin = Fmin;\n",
    "acsweep.Fmax = Fmax;\n",
    "acsweep.BaseSwitchingFrequency = Fsw;\n",
    "acsweep.BaseSwitchingFrequencyEnabled = False;\n",
    "acsweep.MagMin  = 1;\n",
    "acsweep.MagMax  = 1;\n",
    "acsweep.NumberOfPoints  = 50;\n",
    "job = acsweep.NewJob();\n",
    "status = job.Run();\n",
    "print(\"Success: \" + str(status==Status.OK))\n",
    "print(\"Runtime: \" + \"{:.3f}\".format(job.RunTime) + \"s\")\n",
    "mag_sim_db = job.GetSignalByName('A1 - Current Magnitude').DataPoints\n",
    "phase_sim = job.GetSignalByName('A1 - Current Angle').DataPoints\n",
    "frequency_sim = job.FrequencyPoints\n",
    "\n",
    "\n",
    "### mag_sim_db and phase_sim are the transfer function of I/V. We need to convert them to complex number and invert it to get the impedance\n",
    "tf_sim = np.zeros(len(mag_sim_db), dtype=complex)\n",
    "for i in range(len(mag_sim_db)):\n",
    "    tf_sim[i] = 10**(mag_sim_db[i]/20) * np.exp(1j*math.radians(phase_sim[i]))\n",
    "\n",
    "### invert the transfer function to get the impedance\n",
    "Z_sim = np.zeros(len(tf_sim), dtype=complex)\n",
    "for i in range(len(tf_sim)):\n",
    "    Z_sim[i] = 1/tf_sim[i]\n",
    "\n",
    "### Get the impedance in db and the phase in degrees\n",
    "imp_sim = 20 * np.log10(np.abs(Z_sim))\n",
    "phase_sim = np.angle(Z_sim, deg=True)\n",
    "\n",
    "### Plot\n",
    "plt.figure()\n",
    "plt.semilogx(frequency_sim, imp_sim, 'g.-', label='SIMBA')    # Bode magnitude plot\n",
    "plt.semilogx(frequency_ref, imp_ref, 'r', label='Reference')    # Bode magnitude plot\n",
    "plt.xlabel('Frequency (Hz)')\n",
    "plt.ylabel('Input Impedance Magnitude (dB)')\n",
    "plt.legend()\n",
    "plt.figure()\n",
    "plt.semilogx(frequency_sim, phase_sim, 'g.-', label='SIMBA')  # Bode phase plot\n",
    "plt.semilogx(frequency_ref, phase_ref, 'r', label='Reference')    # Bode magnitude plot\n",
    "plt.xlabel('Frequency (Hz)')\n",
    "plt.ylabel('Input Impedance Phase (°)')\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Buck Converter in DCM\n",
    "\n",
    "### Open Loop, control to output transfer function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Success: True\n",
      "Runtime: 1.852s\n"
     ]
    },
    {
     "data": {
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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Vin = 12;\n",
    "L1 = 100E-6;\n",
    "rl = 10E-3;\n",
    "rc = 30E-3;\n",
    "C2 = 47E-6;\n",
    "Rload = 100;\n",
    "Fsw = 100E3;\n",
    "D0 = 0.244 \n",
    "Vout = 5\n",
    "### Analytical\n",
    "Tsw = 1/Fsw\n",
    "tauL = L1 / (Rload*Tsw)\n",
    "M= 2 / (1 + math.sqrt(1 + 8*tauL / (D0*D0)))\n",
    "wp1 = ((2 - M) / ( 1 - M )) * 1 / (C2*Rload)\n",
    "wp2 = (L1 + C2*Rload*Rload*(1-M)) / (L1 * C2 * Rload)\n",
    "\n",
    "H0 = (2 * Vout / D0) * (1-M)/(2-M)\n",
    "wz = 1 / (rc * C2)\n",
    "\n",
    "tf = H0 * control.tf ([1/wz, 1] , [1/(wp1*wp2),1/wp1 + 1/wp2 , 1])\n",
    "mag_ref, phase_ref, omega_ref = control.bode_plot(tf, plot=False);\n",
    "frequency_ref = np.multiply(omega_ref, 1 / (2*math.pi) )\n",
    "mag_ref = 20*np.log10(mag_ref);\n",
    "phase_ref  = np.multiply(phase_ref, 180 / (math.pi) )\n",
    "\n",
    "### Simulation\n",
    "file_path = os.path.join(os.getcwd(), \"ACSweepTest.jsimba\")\n",
    "project = ProjectRepository(file_path)\n",
    "design = project.GetDesignByName('Buck Converter - DCM - Open Loop')\n",
    "design.Circuit.GetDeviceByName('Vin').Value = Vin;\n",
    "design.Circuit.GetDeviceByName('L1').Value = L1;\n",
    "design.Circuit.GetDeviceByName('rl').Value = rl;\n",
    "design.Circuit.GetDeviceByName('C2').Value = C2;\n",
    "design.Circuit.GetDeviceByName('Rload').Value = Rload;\n",
    "design.Circuit.GetDeviceByName('Fsw').Frequency = Fsw;\n",
    "design.Circuit.GetDeviceByName('duty cycle').Value = D0;\n",
    "\n",
    "acsweep =  project.GetACSweepByName('AC Sweep - Buck DCM - Open Loop');\n",
    "acsweep.Design = design;\n",
    "acsweep.Fmin = Fsw/10000;\n",
    "acsweep.Fmax = Fsw/50;\n",
    "acsweep.MagMin  = 0.05;\n",
    "acsweep.MagMax  = 0.1;\n",
    "acsweep.NumberOfPoints  = 31;\n",
    "job = acsweep.NewJob();\n",
    "status = job.Run();\n",
    "print(\"Success: \" + str(status==Status.OK))\n",
    "print(\"Runtime: \" + \"{:.3f}\".format(job.RunTime) + \"s\")\n",
    "mag_sim = job.GetSignalByName('Rload - Voltage Magnitude').DataPoints\n",
    "phase_sim = job.GetSignalByName('Rload - Voltage Angle').DataPoints\n",
    "frequency_sim = job.FrequencyPoints\n",
    "\n",
    "### Plot\n",
    "plt.figure()\n",
    "plt.semilogx(frequency_sim, mag_sim, 'g.-', label='SIMBA')    # Bode magnitude plot\n",
    "plt.semilogx(frequency_ref, mag_ref, 'r', label='Reference')    # Bode magnitude plot\n",
    "plt.xlabel('Frequency (Hz)')\n",
    "plt.ylabel('Magnitude (dB)')\n",
    "plt.legend()\n",
    "plt.figure()\n",
    "plt.semilogx(frequency_sim, phase_sim, 'g.-', label='SIMBA')  # Bode phase plot\n",
    "plt.semilogx(frequency_ref, phase_ref, 'r', label='Reference')    # Bode magnitude plot\n",
    "plt.xlabel('Frequency (Hz)')\n",
    "plt.ylabel('Phase (°)')\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Open Loop, input to output transfer function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Success: True\n",
      "Runtime: 2.272s\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Vin = 12;\n",
    "L1 = 100E-6;\n",
    "rl = 10E-3;\n",
    "rc = 30E-3;\n",
    "C2 = 47E-6;\n",
    "Rload = 100;\n",
    "Fsw = 100E3;\n",
    "D0 = 0.244 \n",
    "\n",
    "### Analytical\n",
    "Tsw = 1/Fsw\n",
    "tauL = L1 / (Rload*Tsw)\n",
    "H0 = 2 / (1 + math.sqrt(1+(8*tauL/(D0*D0))))\n",
    "wz = 1 / (rc * C2)\n",
    "M= 2 / (1 + math.sqrt(1 + 8*tauL / (D0*D0)))\n",
    "wp1 = ((2 - M) / ( 1 - M )) * 1 / (C2*Rload)\n",
    "wp2 = (L1 + C2*Rload*Rload*(1-M)) / (L1 * C2 * Rload)\n",
    "tf = H0 * control.tf ([1/wz, 1] , [1/(wp1*wp2),1/wp1 + 1/wp2 , 1])\n",
    "mag_ref, phase_ref, omega_ref = control.bode_plot(tf, plot=False);\n",
    "frequency_ref = np.multiply(omega_ref, 1 / (2*math.pi) )\n",
    "mag_ref = 20*np.log10(mag_ref);\n",
    "phase_ref  = np.multiply(phase_ref, 180 / (math.pi) )\n",
    "\n",
    "### Simulation\n",
    "file_path = os.path.join(os.getcwd(), \"ACSweepTest.jsimba\")\n",
    "project = ProjectRepository(file_path)\n",
    "design = project.GetDesignByName('Buck Converter - DCM - Open Loop')\n",
    "design.Circuit.GetDeviceByName('Vin').Value = Vin;\n",
    "design.Circuit.GetDeviceByName('L1').Value = L1;\n",
    "design.Circuit.GetDeviceByName('rl').Value = rl;\n",
    "design.Circuit.GetDeviceByName('C2').Value = C2;\n",
    "design.Circuit.GetDeviceByName('Rload').Value = Rload;\n",
    "design.Circuit.GetDeviceByName('Fsw').Frequency = Fsw;\n",
    "design.Circuit.GetDeviceByName('duty cycle').Value = D0;\n",
    "\n",
    "acsweep =  project.GetACSweepByName('AC Sweep - Buck DCM - Input To Output');\n",
    "acsweep.Design = design;\n",
    "acsweep.Fmin = Fsw/10000;\n",
    "acsweep.Fmax = Fsw/50;\n",
    "acsweep.MagMin  = 5;\n",
    "acsweep.MagMax  = 10;\n",
    "acsweep.NumberOfPoints  = 41;\n",
    "job = acsweep.NewJob();\n",
    "status = job.Run();\n",
    "print(\"Success: \" + str(status==Status.OK))\n",
    "print(\"Runtime: \" + \"{:.3f}\".format(job.RunTime) + \"s\")\n",
    "mag_sim = job.GetSignalByName('Rload - Voltage Magnitude').DataPoints\n",
    "phase_sim = job.GetSignalByName('Rload - Voltage Angle').DataPoints\n",
    "frequency_sim = job.FrequencyPoints\n",
    "\n",
    "### Plot\n",
    "plt.figure()\n",
    "plt.semilogx(frequency_sim, mag_sim, 'g.-', label='SIMBA')    # Bode magnitude plot\n",
    "plt.semilogx(frequency_ref, mag_ref, 'r', label='Reference')    # Bode magnitude plot\n",
    "plt.xlabel('Frequency (Hz)')\n",
    "plt.ylabel('Magnitude (dB)')\n",
    "plt.legend()\n",
    "plt.figure()\n",
    "plt.semilogx(frequency_sim, phase_sim, 'g.-', label='SIMBA')  # Bode phase plot\n",
    "plt.semilogx(frequency_ref, phase_ref, 'r', label='Reference')    # Bode magnitude plot\n",
    "plt.xlabel('Frequency (Hz)')\n",
    "plt.ylabel('Phase (°)')\n",
    "plt.legend()\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Boost Converter in CCM\n",
    "\n",
    "### Open Loop, control to output transfer function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Success: True\n",
      "Runtime: 1.432s\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Vin = 10;\n",
    "L1 = 47E-6;\n",
    "rl = 0.1;\n",
    "rc = 50E-3;\n",
    "C2 = 470E-6;\n",
    "Rload = 10;\n",
    "Fsw = 100E3;\n",
    "D = 0.4\n",
    "### Analytical \n",
    "H0 = Vin / (( 1 - D)**2) \n",
    "wz1 = 1 / ( rc * C2)\n",
    "wz2 = (Rload * ( 1 - D)**2) / L1\n",
    "w0 = (1/math.sqrt(L1*C2)) * math.sqrt((rl + Rload*( 1 - D)**2)/(rc + Rload))\n",
    "Q = w0 / ( (rl/L1) + 1/(C2*(rc+Rload))) \n",
    "tf = H0 * control.tf ( [-1/(wz1*wz2),1/wz1 - 1/wz2 , 1],  [1/(w0**2), 1/(w0*Q), 1])\n",
    "mag_ref, phase_ref, omega_ref = control.bode_plot(tf, plot=False);\n",
    "frequency_ref = np.multiply(omega_ref, 1 / (2*math.pi) )\n",
    "mag_ref = 20*np.log10(mag_ref);\n",
    "phase_ref  = np.multiply(phase_ref, 180 / (math.pi) )\n",
    "\n",
    "### Simulation\n",
    "file_path = os.path.join(os.getcwd(), \"ACSweepTest.jsimba\")\n",
    "project = ProjectRepository(file_path)\n",
    "design = project.GetDesignByName('Boost Converter - CCM - Open Loop')\n",
    "design.Circuit.GetDeviceByName('Vin').Value = Vin;\n",
    "design.Circuit.GetDeviceByName('L1').Value = L1;\n",
    "design.Circuit.GetDeviceByName('rl').Value = rl;\n",
    "design.Circuit.GetDeviceByName('C2').Value = C2;\n",
    "design.Circuit.GetDeviceByName('Rload').Value = Rload;\n",
    "design.Circuit.GetDeviceByName('Fsw').Frequency = Fsw;\n",
    "acsweep =  project.GetACSweepByName('AC Sweep - Boost CCM - Open Loop');\n",
    "acsweep.Design = design;\n",
    "acsweep.Fmin = Fsw/1000;\n",
    "acsweep.Fmax = Fsw/10;\n",
    "acsweep.MagMin  = 0.001;\n",
    "acsweep.MagMax  = 0.01;\n",
    "acsweep.NumberOfPoints  = 31;\n",
    "job = acsweep.NewJob();\n",
    "status = job.Run();\n",
    "print(\"Success: \" + str(status==Status.OK))\n",
    "print(\"Runtime: \" + \"{:.3f}\".format(job.RunTime) + \"s\")\n",
    "mag_sim = job.GetSignalByName('Rload - Voltage Magnitude').DataPoints\n",
    "phase_sim = job.GetSignalByName('Rload - Voltage Angle').DataPoints\n",
    "frequency_sim = job.FrequencyPoints\n",
    "\n",
    "### Plot\n",
    "plt.figure()\n",
    "plt.semilogx(frequency_sim, mag_sim, 'g.-', label='SIMBA')    # Bode magnitude plot\n",
    "plt.semilogx(frequency_ref, mag_ref, 'r', label='Reference')    # Bode magnitude plot\n",
    "plt.xlabel('Frequency (Hz)')\n",
    "plt.ylabel('Magnitude (dB)')\n",
    "plt.legend()\n",
    "plt.figure()\n",
    "plt.semilogx(frequency_sim, phase_sim, 'g.-', label='SIMBA')  # Bode phase plot\n",
    "plt.semilogx(frequency_ref, phase_ref, 'r', label='Reference')    # Bode magnitude plot\n",
    "plt.xlabel('Frequency (Hz)')\n",
    "plt.ylabel('Phase (°)')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Flyyback Converter in CCM\n",
    "\n",
    "### Open Loop, control to output transfer function"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Success: True\n",
      "Runtime: 1.842s\n"
     ]
    },
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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TAGDJkiX44osvsHLlSpw5cwazZ8/G+PHj8fvvvyMsLAzZ2dnw9PTE8uXLkZ2djUceeQSFhYUYPnw4oqOjcfToUWzduhW5ubl4+OGH9d5r/fr1cHJywoEDB7By5UqTjnNzc8ORI0fwzjvv4LXXXtMLc3fddRcOHDiAr776CikpKVi6dClkMrFn4uLFi7jzzjvx4IMP4uTJk9i4cSP279+PGTNmNPrPzGgCmaSoqEgAIBQVFVm7lBbpoyMfCXgFeovsVZmQWZRp/Enee08QAEHo1EkQqqstVywRtTrl5eVCSkqKUF5eXrOypET8nWONpaTE6Nrj4+MFmUwmuLm5CXK5XAAgSKVS4dtvvxUqKioEV1dX4eDBg3rHJCYmCo899pj2tZeXl7B27Vrt69dff12444479I7JzMwUAAj//POPIAiCEBsbK0RHR+vtY+xxgwcP1tvn1ltvFebPny8IgiBs27ZNkEql2v1vlpiYKEyZMkVv3b59+wSpVKr/96fD4N/vDaZ8f3OGbDKrKP+oWutUggqpBal6E03Wa8oU4PXXgfPngb17gdtvN2+RREQ2atiwYfj0009RWlqKZcuWwcHBAQ8++CDOnDmDsrIyjBw5Um//yspKREdH13m+EydOYM+ePXB3d6+17eLFi+jUqRMAoM9NdzAw9riePXvqbQsODsbVq1cBAMnJyQgNDdXua6i2kydPYoNOL4IgCFCr1UhLS0PXrl3r/LmaiuGIzEpzNZvuDW0lkCDSJ9L4k3h4AI8+Cnz2GbB+PcMREVmWqytQUmK99zaBm5sbIiPF36dr1qxBr169kJSUhO43buD9yy+/oG3btnrHyOXyOs9XUlKCMWPG4O233661LTg4WO99G3Oco6Oj3jaJRAK1Wvx+cHFxqbMuzXtMnToVM2fOrLWtXbt29R7bVAxHZFaaq9mm/jwVKkG8HF+AgIOZB/Fwt4cbOFpHfLwYjjZvBj7+WAxMRESWIJEAN3352wKpVIoXXngBc+bMwfnz5yGXy5GRkYHY2FijzxETE4PNmzejffv2cHAwPhI09jhdPXv2RFZWFs6fP2+w9SgmJgYpKSnaMNicOCCbzE73arbE3okAgPgt8abNgzRgANCxI1BWBnz3nYUqJSKybePGjYNMJsNnn32G5557DrNnz8b69etx8eJFHD9+HCtWrMD69evrPH769OkoKCjAY489hr/++gsXL17Etm3bMHHiRKjqmW+uscfpio2NxdChQ/Hggw9ix44dSEtLw2+//YatW7cCAObPn4+DBw9ixowZSE5OxoULF/DDDz80y4BshiOyCM3VbJ+N+Qz3dLoHFdUVuO+b+3Cp8JJxJ5BIgCeeEJ9v2WKxOomIbJmDgwNmzJiBd955BwsXLsTLL7+MJUuWoGvXrrjzzjvxyy+/ICIios7jQ0JCcODAAahUKtxxxx3o0aMHZs2aBW9vb0ildUeExh53s82bN+PWW2/FY489hqioKMybN08brnr27Inff/8d58+fx5AhQxAdHY1FixYhJCTE+D+gRpIIQhOuI2yFFAoFvLy8UFRUBE9PT2uXYxOKlcUYvHYwTuaeRI+AHtj40EbklOSgo2/H+gdpHz8O9OkjNndfuwY4Ozdf0URklyoqKpCWloaIiAg483eK3anv79eU72+2HJHFecg98PNjPyPIPQinrp5C1CdRxs2BFB0NtG0rzgWyd2+z1UtERK0bwxE1izCvMHw+5nO9dWpBjak/T617Fm2JBLjzTvH57t0WrpCIiEjEcETNxs2x9tUgmjmQ6hQXJz6y5YiIiJoJwxE1G80cSLpkEln9cyBpLkk9dgxQKCxYHRERkYjhiJqNZg4kqc7HbuU9K+sflB0WBnToAKjVwMGDzVAlERG1dgxH1KwSYxJxatopOEnFGyV29TNi+vcBA8THo0ctWBkRtSa8UNs+mevvleGIml1UQBSe6CnOYbTq+KqGD7j1VvGR4YiImkhzO4uysjIrV0KWUFlZCQCQyWRNOg9vH0JWMaXPFKxNXotNZzZh+ajlaOPSpu6d+/YVHxmOiKiJZDIZvL29tTc/dXV1hUQisXJVZA5qtRp5eXlwdXVt9C1NNBiOyCr6t+2PHgE9cOrqKXx18is82//Zunfu3RuQSoHLl4HsbEDnpoZERKYKCgoCAG1AIvshlUrRrl27JgdehiOyColEgil9puDZ357FquOrMKPfjLo/zO7u4n3W/vkHOH2a4YiImkQikSA4OBgBAQGoqqqydjlkRk5OTibdvqQuDEdkNeN7jsfzO57H6auncTjrMAaGDax756goMRylpAAjRzZfkURkt2QyWZPHppB94oBsshpvZ2880u0RAEYMzI6KEh9TUixcFRERtXZ2E47S09ORmJiIiIgIuLi44JZbbsHixYu1I9c1+0gkklrL4cOHrVh56zalzxQAwMbTG1FYUVj3jppwdPas5YsiIqJWzW661c6dOwe1Wo3PPvsMkZGROH36NCZPnozS0lK89957evvu3LkT3bp107729fVt7nLphoGhA9E9oDtOXz2NDSc3YHq/6YZ3ZMsRERE1E4lgxzNhvfvuu/j000/x77//AhBbjiIiIvD333+jd+/ejTqnQqGAl5cXioqK4OnpacZqW68VR1Zg5taZ6BHQAyeePmF4YHZ5OeDmBggCkJcH+Pk1f6FERGSzTPn+tptuNUOKiorg4+NTa/29996LgIAADB48GD/++GO951AqlVAoFHoLmdf4nuPh7OCMU1dP4c/LfxreycUFCAkRn98Iu0RERJZgt+EoNTUVK1aswNSpU7Xr3N3d8f777+N///sffvnlFwwePBhjx46tNyAtWbIEXl5e2iUsLKw5ym9V2ri0wcPdHgYArDpWz8DsiAjxMT3d8kUREVGr1eK71RYsWIC333673n3Onj2LLl26aF9fvnwZsbGxiIuLw+rVq+s99sknn0RaWhr27dtncLtSqYRSqdS+VigUCAsLY7eamR3IOIDBawfD2cEZmx7ahOjg6No3pJ0wAfjqK2DpUmD+fOsUSkRENsmUbrUWPyB77ty5SEhIqHefDh06aJ9fuXIFw4YNw6BBg7BqVcP37erfvz927NhR53a5XA65XG50vdQ4g8IGIdg9GNkl2bj3m3shlUix6p5VSIxJrNlJ03KUlmadIomIqFVo8eHI398f/v7+Ru17+fJlDBs2DH369MHatWuNmiUzOTkZwZxx2eouF19GTkmO9rVaUGPqz1MxKnJUTQsSwxERETWDFh+OjHX58mXExcUhPDwc7733HvLy8rTbNPfRWb9+PZycnBAdHQ0A+O6777BmzZoGu97I8i7kX4AA/R5elaBCakFqTThq31585JgjIiKyILsJRzt27EBqaipSU1MRGqo/VkV3WNXrr7+OS5cuwcHBAV26dMHGjRvx0EMPNXe5dJOOvh0hlUihFtTadTKJDJE+kTU76Q7IFgSAd9ImIiILaPEDslsaznNkOUnHkzD5p8kQIEACCT4f87n+mKPKSkAz/uvaNYCTdxIRkZE4zxHZpMSYRMzsPxMA8HDUw/rBCACcnGoCUXZ2M1dHREStBcMRtSi3hd0GAPi3sI6JHjWD5xmOiIjIQhiOqEXpGdgTAHAm7wxUalXtHRiOiIjIwhiOqEWJ9ImEs4MzyqrK8O91A61HDEdERGRhDEfUosikMkT5RwEATl09VXsHhiMiIrIwhiNqcTRda6dyGY6IiKj5MRxRi9MjoAcA4OTVk7U3MhwREZGFMRxRi6MJR2w5IiIia2A4ohZH062WWpCK0spS/Y2a++xdu9bMVRERUWvBcEQtTqB7IPxd/SFAQEpeiv5GzSSQhYVAdXWz10ZERPaP4YhapB6BN7rWbr5irU2bmufXrzdjRURE1FowHFGL1DNA7Fo7mXvToGwHB8DbW3yen9+8RRERUavAcEQtUp0tRwDg4yM+FhQ0Y0VERNRaMBxRi6QZlH0y9yQEQdDfqBl3xJYjIiKyAIYjapGi/KMggQTXyq4htzRXfyPDERERWRDDEbVIro6uiPSJBGBgviOGIyIisiCGI2qxtLcRuXncEcccERGRBTEcUYulvY3IzVesseWIiIgsiOGIWqw6r1hjOCIiIgtiOKIWS9OtlpKXgmq1zmzYDEdERGRBDEfUYnVo0wGujq6oqK5AakFqzQbNLNmcIZuIiCyA4YhaLKlEim7+3QDcdMWap6f4WFxshaqIiMjeMRxRi2bwijVNOFIorFARERHZO4YjatEMXrHGcERERBbEcEQtmsEr1jw8xEelEqistEJVRERkzxiOqEXTtBz9e/1fFCtvjDHShCOA446IiMjsGI6oRfN380eQexAA4EzeGXGlgwPg6io+Z9caERGZGcMRtXia1iO9K9Y0rUcMR0REZGYMR9Tiaa5YMzgom91qRERkZgxH1OJpW454OT8RETUDhiNq8XSvWBMEQVzJcERERBbCcEQtXpR/FKQSKQrKC3Cl+Iq4kmOOiIjIQhiOqMVzdnBGJ99OAHS61jjmiIiILIThiGyC9jYiuTeFI7YcERGRmTEckU3Q3kbk6o0r1titRkREFsJwRDZBE44OZR5CliKLLUdERGQxDEdkE85eOwsAuHj9IsKXh+Ng0Y3ZshmOiIjIzOwqHLVv3x4SiURvWbp0qd4+J0+exJAhQ+Ds7IywsDC88847VqqWjJWlyMKLu1/UvlYLaqw+/7X4orTUSlUREZG9crB2Aeb22muvYfLkydrXHjo3KVUoFLjjjjswYsQIrFy5EqdOncKkSZPg7e2NKVOmWKNcMsKF/AtQC2q9dSUON+Y7KiuzQkVERGTP7C4ceXh4ICgoyOC2DRs2oLKyEmvWrIGTkxO6deuG5ORkfPDBBwxHLVhH346QSqR6AUnpJAWgZjgiIiKzs6tuNQBYunQpfH19ER0djXfffRfV1dXabYcOHcLQoUPh5OSkXTdq1Cj8888/uH79usHzKZVKKBQKvYWaV6hnKFbdswoSSAAAUokUU4fMFjeyW42IiMzMrsLRzJkz8c0332DPnj2YOnUq3nrrLcybN0+7PScnB4GBgXrHaF7n5OQYPOeSJUvg5eWlXcLCwiz3A1CdEmMSMS5qHADguYHP4e5o8TlbjoiIyNxafDhasGBBrUHWNy/nzp0DAMyZMwdxcXHo2bMnnn76abz//vtYsWIFlEplo99/4cKFKCoq0i6ZmZnm+tHIROHe4QCAanU14OoqrmQ4IiIiM2vxY47mzp2LhISEevfp0KGDwfX9+/dHdXU10tPT0blzZwQFBSE3N1dvH83rusYpyeVyyOVy0wsns/N18QUAXCu/xnBEREQW0+LDkb+/P/z9/Rt1bHJyMqRSKQICAgAAAwcOxIsvvoiqqio4OjoCAHbs2IHOnTujTZs2ZquZLMPXVQxH+WX5+uFIEACJxIqVERGRPWnx3WrGOnToEJYvX44TJ07g33//xYYNGzB79myMHz9eG3wef/xxODk5ITExEWfOnMHGjRvx4YcfYs6cOVaunozh5+oHAMgv1wlHajVQWWnFqoiIyN60+JYjY8nlcnzzzTd45ZVXoFQqERERgdmzZ+sFHy8vL2zfvh3Tp09Hnz594Ofnh0WLFvEyfhuh7VYr0+lWA8TWI3Z9EhGRmdhNOIqJicHhw4cb3K9nz57Yt29fM1RE5qZtOSrLBxwdxaWqSrycn92iRERkJnbTrUb2TzPm6HrFdV6xRkREFsNwRDbDx8VH+/x6+XWGIyIisgiGI7IZDlIHeDt7A7hpUDbDERERmRHDEdkUg4OyGY6IiMiMGI7IpugNymY4IiIiC2A4IpuiGZTNliMiIrIUhiOyKZputfzyfMDNTVxZWmrFioiIyN4wHJFNYbcaERFZGsMR2RQOyCYiIktjOCKbYvD+agxHRERkRgxHZFM4IJuIiCyN4Yhsit6AbE044oBsIiIyI4Yjsil6A7JdXMSVFRVWrIiIiOwNwxHZFE23Wn55PtRyubiS4YiIiMyI4YhsiqZbTS2oUS4TxJUMR0REZEYMR2RT5A5yuDu5AwBKpFXiSqXSihUREZG9YTgim6NpPVJIKsUVbDkiIiIzYjgim6MZlF0kudFixHBERERmxHBENkczKLtQXS6uYDgiIiIzYjgim6NpOboOhiMiIjI/hiOyOdqJIIUbkz8yHBERkRkxHJHN0d58VlUirmA4IiIiM2I4Ipuj6VbLUxeLKxiOiIjIjBiOyOZoBmTnqorEFQxHRERkRgxHZHM03WoMR0REZAkMR2RzNN1qOVWF4gq1Gqiutl5BRERkVxiOyOZoutUuV+XXrGTrERERmQnDEdkcTctRiUSntYjhiIiIzIThiGyOq6MrnB2cIUgBwclJXMlwREREZsJwRDZJMyhb7eQormA4IiIiM2E4Ipuk6VqrdnIQVzAcERGRmTAckU3SDMpmOCIiInNjOCKbpGk5qnS88RFmOCIiIjNhOCKbpBlzpHSUiCsYjoiIyEwYjsgmacJRhezGCoYjIiIyE4YjskmabrVyB0FcoVRasRoiIrIndhOO9u7dC4lEYnD566+/AADp6ekGtx8+fNjK1ZOpNAOyS6UqcQVbjoiIyEwcrF2AuQwaNAjZ2dl6615++WXs2rULffv21Vu/c+dOdOvWTfva19e3WWok89G0HJXKbsySzXBERERmYjfhyMnJCUFBQdrXVVVV+OGHH/Dss89CIpHo7evr66u3L9kezZijYkmVuILhiIiIzMTkcKRUKnHkyBFcunQJZWVl8Pf3R3R0NCIiIixRX6P9+OOPyM/Px8SJE2ttu/fee1FRUYFOnTph3rx5uPfee+s8j1KphFJnPItCobBIvWQaTbdakaRSXMFwREREZmJ0ODpw4AA+/PBD/PTTT6iqqoKXlxdcXFxQUFAApVKJDh06YMqUKXj66afh4eFhyZqNkpSUhFGjRiE0NFS7zt3dHe+//z5uu+02SKVSbN68GWPHjsWWLVvqDEhLlizBq6++2lxlk5E03WplHHNERERmZtSA7HvvvRePPPII2rdvj+3bt6O4uBj5+fnIyspCWVkZLly4gJdeegm7du1Cp06dsGPHDrMVuGDBgjoHWmuWc+fO6R2TlZWFbdu2ITExUW+9n58f5syZg/79++PWW2/F0qVLMX78eLz77rt1vv/ChQtRVFSkXTIzM832s1HjeTh5wEHqgApNvGc4IiIiMzGq5Wj06NHYvHkzHB0dDW7v0KEDOnTogPj4eKSkpNQaGN0Uc+fORUJCQr37dOjQQe/12rVr4evrW293mUb//v3rDXNyuRxyudyoWqn5SCQS+Ln6QSnLEVfwUn4iIjITo8LR1KlTjT5hVFQUoqKiGl3Qzfz9/eHv72/0/oIgYO3atXjyySfrDHO6kpOTERwc3JQSyUp8XXyhdLgRjthyREREZmI3V6tp7N69G2lpaXjqqadqbVu/fj2cnJwQHR0NAPjuu++wZs0arF69urnLJDPwdfWt6VZjyxEREZmJ0eEoNTUV06dPR1FREZYuXYq4uDgLltV4SUlJGDRoELp06WJw++uvv45Lly7BwcEBXbp0wcaNG/HQQw81c5VkDmK32o0XDEdERGQmRoejSZMm4fHHH0d0dDTuvvtu5ObmwsGh5TU8/fe//61zW3x8POLj45uxGrIksVvtxguGIyIiMhOjbx+SlpaGAQMGoE+fPiguLkZhYaEFyyJqmF7LEcccERGRmRjd9PPUU0/h6aefRkhICG6//Xb4+flZsi6iBvm6+OIKW46IiMjMjA5HixcvxsiRI3H9+nWMGjXKkjURGcXXld1qRERkfiYNGho0aJCl6iAyGQdkExGRJRg15kgQBEvXQWQyXxdfzpBNRERmZ1Q46tatG7755htUVlbWu9+FCxcwbdo0LF261CzFEdXHz9WP3WpERGR2RnWrrVixAvPnz8czzzyDkSNHom/fvggJCYGzszOuX7+OlJQU7N+/H2fOnMGMGTMwbdo0S9dNJI45utGtJigrILFuOUREZCeMCke33347jh49iv3792Pjxo3YsGEDLl26hPLycvj5+SE6OhpPPvkknnjiCbRp08bSNRMBALydvVHlKAEgQF1eBlmDRxARETXMpAHZgwcPxuDBgy1VC5FJpBIp5G5eAAohcMwRERGZidGTQBK1RK7uN1oqOeaIiIjMhOGIbJomHEkqq6xcCRER2QuGI7Jp7p7iTO0yZSXAKSeIiMgMGI7Ipnl46NzGpoqtR0RE1HQMR2TTvLwCal5w3BEREZlBo8LRxYsX8dJLL+Gxxx7D1atXAQC//fYbzpw5Y9biiBri5akTjnjFGhERmYHJ4ej3339Hjx49cOTIEXz33XcoKSkBAJw4cQKLFy82e4FE9fF190el5lPMliMiIjIDk8PRggUL8MYbb2DHjh1wcnLSrh8+fDgOHz5s1uKIGsJbiBARkbmZHI5OnTqF+++/v9b6gIAAXLt2zSxFERnL16XmFiIMR0REZA4mhyNvb29kZ2fXWv/333+jbdu2ZimKyFh6LUccc0RERGZgcjh69NFHMX/+fOTk5EAikUCtVuPAgQN47rnn8OSTT1qiRqI6+br6ouJGOKouL7VuMUREZBdMDkdvvfUWunTpgrCwMJSUlCAqKgpDhw7FoEGD8NJLL1miRqI6+bj4aLvVShT51i2GiIjsgkk3ngUAJycnfP7551i0aBFOnTqFkpISREdHo2PHjpaoj6heDlIHVDvKAKhQXHwN3tYuiIiIbJ7J4UgjLCwMYWFhUKlUOHXqFK5fv442bdqYszYio6jkDgBUKFHwggAiImo6k7vVZs2ahaSkJACASqVCbGwsYmJiEBYWhr1795q7PqIGCTemlCgpZrcaERE1ncnh6Ntvv0WvXr0AAD/99BP+/fdfnDt3DrNnz8aLL75o9gKJGiLI5QCAspLrVq6EiIjsgcnh6Nq1awgKCgIA/Prrr3j44YfRqVMnTJo0CadOnTJ7gUQNkcidAQDlDEdERGQGJoejwMBApKSkQKVSYevWrRg5ciQAoKysDDKZrIGjicxP6uICAKgoVVi5EiIisgcmD8ieOHEiHn74YQQHB0MikWDEiBEAgCNHjqBLly5mL5CoITJnVwBAZRnDERERNZ3J4eiVV15B9+7dkZmZiXHjxkF+Y7yHTCbDggULzF4gUUMcXN0BAJVlxVauhIiI7EGjLuV/6KGHaq2Lj49vcjFEjeF4IxxVl5VYuRIiIrIHjQpHpaWl+P3335GRkYHKykq9bTNnzjRLYUTGcnL1BABUl5dZuRIiIrIHJoejv//+G3fffTfKyspQWloKHx8fXLt2Da6urggICGA4ombn7CaGI1UFwxERETWdyVerzZ49G2PGjMH169fh4uKCw4cP49KlS+jTpw/ee+89S9RIVC9nN2/xSUUF1ILaqrUQEZHtMzkcJScnY+7cuZBKpZDJZFAqlQgLC8M777yDF154wRI1EtXL1UO8bY1TtYCiiiIrV0NERLbO5HDk6OgIqVQ8LCAgABkZGQAALy8vZGZmmrc6IiM4uLgBAOTVwOm801auhoiIbJ3J4Sg6Ohp//fUXACA2NhaLFi3Chg0bMGvWLHTv3t3sBRI15EDuUQCAXAXErYtD0vEkK1dERES2zORw9NZbbyE4OBgA8Oabb6JNmzaYNm0a8vLysGrVKrMXSFSfLEUW1p79LwDAuRpQC2pM/XkqshRZVq6MiIhslcnhqG/fvhg2bBgAsVtt69atUCgUOHbsmPaGtJbw5ptvYtCgQXB1dYW3t7fBfTIyMjB69GjtlXPPP/88qqur9fbZu3cvYmJiIJfLERkZiXXr1lmsZrK8C/kXUCYTAIjdagCgElRILUi1YlVERGTLTA5H1lJZWYlx48Zh2rRpBrerVCqMHj0alZWVOHjwINavX49169Zh0aJF2n3S0tIwevRoDBs2DMnJyZg1axaeeuopbNu2rbl+DDKzjr4dUeUoASB2qwGATCJDpE+kFasiIiJbZnI4ys3NxYQJExASEgIHBwfIZDK9xVJeffVVzJ49Gz169DC4ffv27UhJScFXX32F3r1746677sLrr7+Ojz/+WDtR5cqVKxEREYH3338fXbt2xYwZM/DQQw9h2bJlFqubLCvUMxSTB8wAIHarSSDBZ/d8hlDPUCtXRkREtsrkSSATEhKQkZGBl19+WXvz2Zbg0KFD6NGjBwIDA7XrRo0ahWnTpuHMmTOIjo7GoUOHtDfK1d1n1qxZdZ5XqVRCqVRqXysUvLlpS3NH93sBrIC8GhjTeQwSYxKtXRIREdkwk8PR/v37sW/fPvTu3dsC5TReTk6OXjACoH2dk5NT7z4KhQLl5eVwcXGpdd4lS5bg1VdftVDVZBY3bn4sV4HzHBERUZOZ3K0WFhYGQRDM8uYLFiyARCKpdzl37pxZ3quxFi5ciKKiIu3CuZxaIE04qgZySnKsXAwREdk6k1uOli9fjgULFuCzzz5D+/btm/Tmc+fORUJCQr37dOjQwahzBQUF4c8//9Rbl5ubq92medSs093H09PTYKsRAMjlcshvfPlSC3Xj78eZ4YiIiMzAqHDUpk0bvbFFpaWluOWWW+Dq6gpHR0e9fQsKCox+c39/f/j7+xu9f30GDhyIN998E1evXkVAQAAAYMeOHfD09ERUVJR2n19//VXvuB07dmDgwIFmqYGsxNkZwI1uNWURyqvK4eJoOOwSERE1xKhwtHz5cguX0bCMjAwUFBQgIyMDKpUKycnJAIDIyEi4u7vjjjvuQFRUFCZMmIB33nkHOTk5eOmllzB9+nRty8/TTz+Njz76CPPmzcOkSZOwe/dubNq0Cb/88osVfzJqMp0xR4DYehTRJsKKBRERkS2TCOYaQGRhCQkJWL9+fa31e/bsQVxcHADg0qVLmDZtGvbu3Qs3NzfEx8dj6dKlcHCoyYB79+7F7NmzkZKSgtDQULz88ssNdu3pUigU8PLyQlFRETw9PZv6Y5E5ZGcDISFQSQCHRcDBxIMYGMbWQCIiqmHK97fR4UitVuPdd9/Fjz/+iMrKStx+++1YvHhxnWN17BXDUQt0/Trg4wMAcHwZ2PTYd7i/6/1WLoqIiFoSU76/jb5a7c0338QLL7wAd3d3tG3bFh9++CGmT5/e5GKJmkxnwDyvWCMioqYyOhx98cUX+OSTT7Bt2zZs2bIFP/30EzZs2AC1Wm3J+ogaphuOVEB2SbYViyEiIltndDjKyMjA3XffrX09YsQISCQSXLlyxSKFERlNJhMX8HJ+IiJqOqPDUXV1NZxvXDKt4ejoiKqqKrMXRWQyzeX8DEdERNRERk8CKQgCEhIS9CZErKiowNNPPw03Nzftuu+++868FRIZQy4HSkshVzEcERFR0xgdjuLj42utGz9+vFmLIWo0nVuIcMwRERE1hdHhaO3atZasg6hpdG4hkluSC7WghlRi8q0DiYiITL/xLFGLpHMLkSp1Fa6XX7dyQUREZKsYjsg+3Gg58pd5AOC4IyIiajyGI7IPN8JRkIM3AI47IiKixmM4Ivtwo1stwMELAFuOiIio8RiOyD5outUcxPvlMBwREVFjMRyRfbgRjnylHHNERERNw3BE9kETjiSuADjmiIiIGo/hiOzDjTFH3hIXAGw5IiKixmM4Ivtwo+WI4YiIiJqK4Yjsw41w5AnxMbuY3WpERNQ4DEdkH250q7kL4h1xrldch7Jaac2KiIjIRjEckX3Q3ltNAieZEwAgtzTXmhUREZGNYjgi+3AjHEkqKxHkHgSA446IiKhxGI7IPtwIR6io0IYjjjsiIqLGYDgi+3BjzBGUSrYcERFRkzAckX3QtBwplQhyYzgiIqLGYzgi+6ATjoI9ggEwHBERUeMwHJF9MDTmiLcQISKiRmA4IvugGXOkE47YckRERI3BcET2wVW84SzKyxmOiIioSRiOyD64uYmPpaUIdq8ZcyQIghWLIiIiW8RwRPZB03JUVoZA90AAgFKlRGFFofVqIiIim8RwRPZBJxw5OzjD29kbALvWiIjIdAxHZB90whEAjjsiIqJGYzgi+6AbjgRBb9wRERGRKRiOyD5oBmQDnOuIiIiahOGI7IOLS83z0lJ2qxERUaMxHJF9kMlqZskuK2O3GhERNRrDEdkPnXFHbDkiIqLGsplw9Oabb2LQoEFwdXWFt7d3re0nTpzAY489hrCwMLi4uKBr16748MMP9fbZu3cvJBJJrSUnh1+gdkEz7kgnHHHMERERmcrB2gUYq7KyEuPGjcPAgQORlJRUa/uxY8cQEBCAr776CmFhYTh48CCmTJkCmUyGGTNm6O37zz//wNPTU/s6ICDA4vVTM9BtOWrLliMiImocmwlHr776KgBg3bp1BrdPmjRJ73WHDh1w6NAhfPfdd7XCUUBAgMHWJ7JxOuEo2KMLAOBa2TVUqargKHO0YmFERGRLbKZbrTGKiorg4+NTa33v3r0RHByMkSNH4sCBA/WeQ6lUQqFQ6C3UQmnCUWkpfFx84CAVs//V0qtWLIqIiGyN3YajgwcPYuPGjZgyZYp2XXBwMFauXInNmzdj8+bNCAsLQ1xcHI4fP17neZYsWQIvLy/tEhYW1hzlU2PotBxJJVIEuon3WOO4IyIiMoVVw9GCBQsMDpDWXc6dO2fyeU+fPo377rsPixcvxh133KFd37lzZ0ydOhV9+vTBoEGDsGbNGgwaNAjLli2r81wLFy5EUVGRdsnMzGzUz0rNQGdANsBbiBARUeNYdczR3LlzkZCQUO8+HTp0MOmcKSkpuP322zFlyhS89NJLDe7fr18/7N+/v87tcrkccs38OdSy3XR/tWCPYCCb4YiIiExj1XDk7+8Pf39/s53vzJkzGD58OOLj4/Hmm28adUxycjKCg4PNVgNZ0c03n3VjyxEREZnOZq5Wy8jIQEFBATIyMqBSqZCcnAwAiIyMhLu7O06fPo3hw4dj1KhRmDNnjnbuIplMpg1gy5cvR0REBLp164aKigqsXr0au3fvxvbt2631Y5E53RyONHMdFXPMERERGc9mwtGiRYuwfv167evo6GgAwJ49exAXF4dvv/0WeXl5+Oqrr/DVV19p9wsPD0d6ejoAca6kuXPn4vLly3B1dUXPnj2xc+dODBs2rFl/FrIQnavVAJ0xR6VsOSIiIuNJBEEQrF2ELVEoFPDy8kJRUZHeRJLUArz+OrBoETB1KrByJb47+x0e3PQgBoUNwoFJ9U/ZQERE9s2U72+7vZSfWqE6utU45oiIiEzBcET2Q3Mpf3ExAP0xR2wgJSIiYzEckf3QNJPeFI7Kq8tRXFlsraqIiMjGMByR/bgpHLk6usJTLq5j1xoRERmL4Yjsh4eH+Khz/zuOOyIiIlMxHJH90LQcGQhHnOuIiIiMxXBE9qOecMSWIyIiMhbDEdkPTTgqKQHUagBAsLt4axiGIyIiMhbDEdkP3Um9SkoA6HSrlbBbjYiIjMNwRPZDLgccHcXnN7rW2K1GRESmYjgi+3LTuCOGIyIiMhXDEdmXm8IRxxwREZGpGI7IvtTRcnS19Cqq1dXWqoqIiGwIwxHZF81EkDdmyfZz9YNUIoUAAXmleVYsjIiIbAXDEdmXm1qOZFIZAtwCALBrjYiIjMNwRPbFwESQvi6+AIDTV09boyIiIrIxDEdkX24KR0nHk3Am7wwAIH5LPJKOJ1mrMiIishEMR2RfdMJRliILU36eot0kQMDUn6ciS5FlpeKIiMgWMByRffH2Fh+vX8eF/AtQC2q9zSpBhdSC1Oavi4iIbAbDEdkXX3F8EfLz0dG3I6QS/Y+4TCJDpE+kFQojIiJbwXBE9sXHR3zMz0eoZyhW3bMKMolMu/mt299CqGeolYojIiJbwHBE9kXTclRQAABIjElE+qx0dPbtDABo69HWWpUREZGNYDgi+6LTraYR6hmK0R1HAwD2ZeyzRlVERGRDGI7Ivuh0q0EQtKuHhA8BwHBEREQNYzgi+6JpOaqqAkpKtKsHtxsMAEjJS0F+Wb6hI4mIiAAwHJG9cXUF5HLxuU7Xmp+rH7r6dQUA7M/Yb43KiIjIRjAckX2RSGoNytYY0o5da0RE1DCGI7I/uuOOdHDcERERGYPhiOyPgSvWgJqWo+PZx1FaWdrcVRERkY1gOCL7U0c4CvcOR5hnGKrV1TicddgKhRERkS1gOCL74+cnPubl1drErjUiImoIwxHZn+Bg8TE7u9YmDsomIqKGMByR/TEiHB3OOowqVVVzVkVERDaC4YjsTz3hqKt/V/i4+KCsqgzHs483c2FERGQLGI7I/tQTjqQSKW4Luw0Au9aIiMgwhiOyP5pwlJsLqNW1NnPcERER1YfhiOxPYKA4U3Z1NXDtWq3NmivW9mfsh1qoHZ6IiKh1s5lw9Oabb2LQoEFwdXWFt7e3wX0kEkmt5ZtvvtHbZ+/evYiJiYFcLkdkZCTWrVtn+eKpeTk6Av7+4nMDXWsxwTFwcXBBQXkBzuadbebiiIiopbOZcFRZWYlx48Zh2rRp9e63du1aZGdna5exY8dqt6WlpWH06NEYNmwYkpOTMWvWLDz11FPYtm2bhaunZqfpWrtypdYmJ5kTBoQOAMCuNSIiqs3B2gUY69VXXwWABlt6vL29ERQUZHDbypUrERERgffffx8A0LVrV+zfvx/Lli3DqFGjzFovWVlICHDiBHD5ssHNQ9oNwZ70PdiXsQ9P9326mYsjIqKWzGZajow1ffp0+Pn5oV+/flizZg0EQdBuO3ToEEaMGKG3/6hRo3Do0KE6z6dUKqFQKPQWsgHh4eJjerrBzdqZsi+x5YiIiPTZVTh67bXXsGnTJuzYsQMPPvggnnnmGaxYsUK7PScnB4GBgXrHBAYGQqFQoLy83OA5lyxZAi8vL+0SFhZm0Z+BzCQiQnxMSzO4eUDoAMgkMmQqMnGp8FIzFkZERC2dVcPRggULDA6i1l3OnTtn9Plefvll3HbbbYiOjsb8+fMxb948vPvuu02qceHChSgqKtIumZmZTTofNRNNOKqj5cjdyR0xwTEAOO6IiIj0WXXM0dy5c5GQkFDvPh06dGj0+fv374/XX38dSqUScrkcQUFByM3N1dsnNzcXnp6ecHFxMXgOuVwOuVze6BrIShpoOQLEcUd/XfkL+y7tw/ie45upMCIiaumsGo78/f3hr7nk2gKSk5PRpk0bbbgZOHAgfv31V719duzYgYEDB1qsBrKS9u3Fx+xsoLwcMBB+h4QPwQeHP2DLERER6bGZq9UyMjJQUFCAjIwMqFQqJCcnAwAiIyPh7u6On376Cbm5uRgwYACcnZ2xY8cOvPXWW3juuee053j66afx0UcfYd68eZg0aRJ2796NTZs24ZdffrHST0UW4+sLuLsDJSXApUtAly61dhncbjAA4Oy1s9hybgv6hvRFqGdoc1dKREQtjETQvZyrBUtISMD69etrrd+zZw/i4uKwdetWLFy4EKmpqRAEAZGRkZg2bRomT54MqbRmaNXevXsxe/ZspKSkIDQ0FC+//HKDXXu6FAoFvLy8UFRUBE9PT3P8aGQpvXoBJ08CP/8MjB5tcJeQ90OQXSJOFCmVSLHqnlVIjElsziqJiKgZmPL9bTPhqKVgOLIhjzwCbNoEvPsuoNOCqJGlyEK7Ze0goOafgEwiQ/qsdLYgERHZGVO+v+3qUn4iPVFR4mNKisHNF/Iv6AUjAFAJKqQWpFq6MiIiasEYjsh+NRCOOvp2hFSi/09AJpEh0ifS0pUREVELxnBE9ksTjs6eBQz0Hod6hmLVPav0AtJ7d7zHLjUiolaO4YjsV8eOgEwGKBR13mMtMSYRaf9JQ0efjgDA2bKJiIjhiOyYk1PNJfx//13nbu282uHjuz8GAHxy9BOkF6Y3Q3FERNRSMRyRfevbV3w8erTe3UbeMhK3R9yOSlUlFu1Z1AyFERFRS8VwRPbNyHAEAEtHLAUAfHXyK5zMPWnJqoiIqAVjOCL7phuOGpjSq29IXzzc7WEIEPDCrheaoTgiImqJGI7IvvXqBTg4AFev1nsTWo03hr0BB6kDfrnwC/649EczFEhERC0NwxHZNxcXoF8/8fnvvze4e0ffjngq+ikAwPyd88EJ5ImIWh+GI7J/cXHi4969Ru2+KHYRXB1dcTjrMH745weLlUVERC0TwxHZP91wZERLULBHMGYPmA0AeH7789j5705kKbIsVx8REbUoDEdk/267DXB2BjIygNOnjTrk+UHPw83RDanXUzHyy5EIXx6OpONJFi6UiIhaAoYjsn+ursAdd4jPv//eqEOKK4tRVlWmfa0W1Jj681S2IBERtQIMR9Q6jB0rPm7ZYtTuF/IvQIB+F5xKUCG1INW8dRERUYvDcEStw5gxgFQq3kYkPb3B3Tv6dtS7Ia1GUUWRBYoje5SlyMKetD1sbSSyQQxH1Dr4+QFDh4rPN2xocPdQz1CsumcVZBKZ3vrx34/Hvkv7LFEh2ZGk40kIXx6O4V8M53g1IhskETiRi0kUCgW8vLxQVFQET09Pa5dDpvjqK2DCBKBdO+DffwGZrMFDshRZSC1IRYh7CKb9Og2703bD1dEVvzz+C+Lax1m+ZrI5WYoshC8Ph1pQa9dJJVKkPpuKiDYRevtdyL+Ajr4dEeoZao1SiVoVU76/GY5MxHBkwyoqgLZtgYIC4OefgdGjTTq8vKocYzeOxfaL2+Hi4IKke5MQ5B7EL7dW7OaAc/rqabyw6wX8dP6nWvs6y5wR2z4WseGxKK4sxtsH3oZaUEMqkWLVPauQGJNohZ+AqPVgOLIghiMbN3cu8MEHwIgRwI4dJh9eUV2BBzc9iF8v/Kpdxy+31inpeBKm/DwFakENCSTo5NsJ/+T/06hzSSVSpDyTgs5+nQHU36rU2BYnS7VUsQWMbAXDkQUxHNm49HSgY0eguhrYtw8YPNjkU1wsuIjIFZF662QSGdJnpfPLoZUw1HUGAFJI8UDUA2jv3R7LDi2DSlBBJpHh03s+Rf+2/fF7+u/4X8r/sC+j9rg1KaToE9IH3s7e2PnvTggQIJVI8dFdH2HardMA6AcyQ6G8rqDS0HGNZanzElkCw5EFMRzZgalTgVWrgGHDgF27AInEpMP3pO3B8C+G11r/4agPMXPATHNVSS1YXZ+BTQ9twrhu4wDUjFeL9InUCyp1Bav6OMuc4e3ijZySHEAAZGpAJgAOauCtYW+gc1A3HMw5ijcPLtEGlTkD5uDWtrfi/LXzWLR3kd7UFKaG+ZtDV5WqCtsvbseYr8c06bxEzYnhyIIYjuxARobYelRZCXz7LfDggyYdXt+X2/Rbp2PJ7UtQpCxiV4MdO5J1BAOSBuitMyoYCAJQWIjNO1fgk19fRZtSNQLLJJgUei86CW3w74U/cSUzBe6VgFsl4H5jcasCXKsAxwbyVJUUUMoApQNQKQNKHYFCZ3Epcq55ft0ZcAltj169RyEmZjQQHIzz0kJEBnapVf/q46sx9eepet2HmYpMvUlSde2J38OLFahFYjiyIIYjO7FoEfD660BICHD2LGDi32XS8SRM/XmqtttkYNhA7M/YDwDwcfFBYXkh1GBXgz2qqK7AkLVDcPTKUe06mUSGz+75DIm9EoDMTCA1FUhLE59nZYmPmuelpdYrvh5qAHluQKGPC64GuOFfb+CcewVOupUgzRtI9wbKnWr295R7QqFU6J2DLUfUkjEcWRDDkZ2oqAB69BC/xB57TJz7yMTutZu7TXb+uxMTf5hYa9I/fmG0DOYY5CwIAiZ/Pwl7fl+HmBIPvNN+MhzTLsH3SiFc0rPEKSKqqhoupk0bICAA8PcX5+DSefyj6CQ+OvsFFI5qlMulmH37Sxh763jA1RUbUjZizs7nUQU1IJNi2d3/h/iYibhccAkxK7rBoVqAvBqQqwAXtRRbx36LgGo59vy9BZsPrYZHhQCfCglGeMfA83oZqrIuweN6GQJLAAcjvgmuuAP/+AHBtw5Dp9vuwzbHS5h28UNc8lBDJr0REPkfAWqhGI4siOHIjhw8KE4MqVIBH38MPPNMk0/564VfMfq/tacI+P7h7zG269gmn781sMTVWJ/+9Slm/DZDOx5nye1L8ESPJyCTyvDN6W8wd/vc2oOKBQG4ckW8WfGpU8Dp08j7cw/cLmTAtbqeQpycgFtuASIigLCwmiU0tObRxaXBn8XQeKX6tt3cmnlzUDF0nGbslFQN+JUBwcVAmAJ42ucOdC91g3NWDrJPH0LEdcBLWXe9KldnqDp1hFP3XuJ/Onr1EpfAQJP/00FkKQxHFsRwZGfefReYN0+8tcjmzTX3YGukusYjuTq6Ys6AOZg7aC5KKks4HqkOq4+vxpSfpmiv1Prsns/wVMxTDR5382X1Q8OHwt3JHVmKLFwquoTCisJ6j/cpA7pfFZceVyWY6NgX8rMXgELDx1U5OcCxUxcgMrL2Ehpq1ASjllBfqKpr/5s/rze3dCYdT8LUn6bAs0yNztelWBqagNiKQLE7+tw5sfW1uo606O9fE5R69QJ69gS6dhUDJFEzYziyIIYjOyMIwOTJQFISIJcDP/wAjBrVpFPq/g9eKpEizDMMl4ouAQBcHVxRXl2u/fLneKQa35/9Hg9seqDW+om9J+LR7o8iNjwWeWV52mDp7eyNPWl7sPnsZqw/sd6o93CtBKLygB65QM88CaJyBXS/CoSU1HGATIaqyA7Ibe+H/wqncKhNCUIGjMRHM36FxMGhCT9ty9FQixPQQOiqqgIuXhTDUkoKcPIkcOIEcOECoDYwgtzRUQxIMTFAnz7i0qsX4OpqwZ+SiOHIohiO7FB1NfDww8D33wMODuJl/hMnNumUul8mbT3a4vtz32PBzgW4UHBBbz8JJPj6wa9xZ+Sd8HL20h7bmLExtjQZn26tZVVlWLBzAb4/9329x8hlcihVNX07MokMKkFlcF/HauCt0HiMKAuE54VMnN79NbpdBW65Xvf507yB0wHicioAuBrhj6A+sfj6wnfalpUg9yD8M+MfeMrt69++qS1ORikrA86cEYOSZjl5EigycPNmqRSIiqoJS336AL17MzCRWTEcWRDDkZ1SKoHExJqb0k6bBrz/foNjQ0yx89+dGPnlyDq3d/btDG9nb/x5+U9ty9KHd36IGf1mAKh7wr1iZTE+PPIhFu9dbPLkgE3Z1hBjJiSUQByPIkDQe64hlUjxSNQj2Jm2E3llebXeo71HGB6SxyB13w/odrWma6xzft2Xvee4A6qormg78A6ge3f86JiGJ88vRZGTGjKJDI90ewR/ZPxRa2C9pp5Lsy61+PDZYgmCOJVGcjJw7FjNkptbe1+pVGxh6tOnppWpd2/A3b25qyY7wXBkQQxHdkwQxEv833hDfN21K/DRR8Dw2pP9NYah8R0SSNDWs63BL2INT7knQjxCcO7auVrb3BzdUFpl+NLwR7s9iqHhQ3G5+DKW7F9SKzgJgoDPjn2G6b9ONxiqjJn9uK4AtOLICszaNksbgBJ6JyAmOAaXFZfx9oG39QIQANwecTs+vPNDHM46bLCLZ1fqDiR+dAe6XwW65YkBqNtVoNd1J8iUlXX8wXkC3btrl7yIQJwPdkJ4x74NDnKuVFXihV0v4P1D79c6LefxMTPNwHfdsHTsGJCTU3tfiQTo0qWmdSkmRgxM/F1MRmA4siCGo1Zg+3YgPr7ml/ODDwKvvSY2+zdRXeM78krzkPR3EhbuWtjk9zCGo9QRVWrDl5z7OPvAXe6OjKIMvfUSSDBnwBx08OkAXxdf/Hn5Tyw/slwbgAaFDYJEIsHZvLPIL883qR5t4FCrkX32L+Qd/R3tsorhffEycPo01ClnIC01POkgnJ2Brl1R2ikCOe394NX3Nvj1HyYOjG7ClVLGDFYmCzIUmLKzDe/bsaMYlDRLdDTg69u89VKLx3BkQQxHrURBAbB4MfDJJzWDSseOBf7zH/Hyf6m00ac25bYSMokM2ydsx2XFZcRvia/V5bQnfg8C3QIR9UmU3nFSiRTTb52Ow1mH8deVvxpdqzkNDR+KILcg/C/lf/AsF9ApX+z+6pIvwWyf0XBNywTOnwfKyw0er3J0wBmfapz2B84GSBB79zMYcd8s8ZJ5C10dZsxgZWpG2dk1Qenvv4Hjx8XJNQ0JD9cPTDExQFBQ89ZLLQrDkQUxHLUyJ08Cr7wiDtbWiIgQW5buv1+c08WM87jU92XcmG2GApdUIsWhSYfg5OCEPqv61Apjvz3xG0qrSvHAxgf0wpgEEjza/VEoVUqkFqTiZO7JWvW/PPRlDGg7AGO+vgc+pQIirgMRhcAthRK8GPwI3NIvo/xMMlwKiuv+Q3B0FC+J794d6Nat5jEyElllOeYfONwAiwxWJvPJy6sJSprl4kXD+wYH1w5MYWGci6mVYDiyIIajVursWWD5cuDrr4FinS/2sDBg9GggLg4YONAsv2gbMwFgfdvMHbgAIKswA33fao9ghYB2RUDEdaBDoQSTfW6HS2YOKv+9AKeyemYNBKAM9IPQqSOco3oCnToBnTuLS/v24lWDRI1VWCgO+tYNTOfOieObbubjI/4np0cPcR6mHj3EQM6B33aH4ciCGI5aubIy4LvvgG++AXbtEm9DoiskBOjXT/zlGhUlLp07i+NirMjoUOUaBOTni/8bz8tDftoZFKaeQUBRFTzyFMDly+Jy5YpRt8lQBvoBERGQR3YWZ43u3FkMQp06AR4elvpxiWorLRWnE9ANTGfO1D2BZUSEfmDq0UMc28TgbrPsMhy9+eab+OWXX5CcnAwnJycU3jRz7bp16zCxjrlpcnNzERAQgL1792LYsGG1tmdnZyPIyL5ohiPSKi8H9uwBtm0Tb0Xy99/irUgMCQgA2rWruZVEQIA4YNTXV/yfq68v4OUlTh2gWRwdjW+FUquBykoxrCmV4lJeDigUNUtRkf7zoiLg2jVtEEJenjjWylgSCVT+figN8oFDh45w7RQlfqFolnbtrB4KiepVUSG2Cp86JXahnzolLnUN/JbLxatYu3UTr5rr2lV8jIwUt1GLZpfhaPHixfD29kZWVhaSkpJqhaPy8nIU3TS5WEJCAioqKrB3714A0Iajf/75R+8PJiAgAFIjB9gyHFGdSkuBo0fF5vwzZ8TZgs+cqfMWFA2SSmtCkoYmLGkeq6rEX/DG3OzUWBKJGNj8/cV7Y7Vta3gJDtavjche5OfXDkynT4v/xg2RyYAOHcSgpFk0walNm+atnepkl+FIY926dZg1a1atcHSzvLw8tG3bFklJSZgwYQKAmnB0/fp1eHt7N+r9GY7IJIIgtsZkZoqT32ker10T1+fn1zwqFGJrjzn+ScrlYquNp6fYIuXpafj5TXeEh7+/2IplpXuDEbVYajWQni4GpbNna+4td+6c+G+3LgEBNffdu+WWmiUyUvy3xsHgzcaU72+77Tz94osv4OrqioceeqjWtt69e0OpVKJ79+545ZVXcNttt9V5HqVSCaWyZmCpor5/BEQ3k0hqus969254f0EQu8fKy2sWzZgITWjSfXRyEoOQZnF2Nq07joiMI5WKrUMdOgD33VezXhDEbjhNUDp3riY4ZWUBV6+Ky8GDtc/p6akflm65RTx/eLjY/c4b9FqN3YajpKQkPP7443DRuf1DcHAwVq5cib59+0KpVGL16tWIi4vDkSNHEBMTY/A8S5YswauvvtpcZVNrJ5HUBJ1Gtm4SUTOSSMQLMUJCas+mX1wszt2VmipOL6BZUlPFCxsUCnGs4t9/Gz5vUJA4di88XP9R89zbm/8RshCrdqstWLAAb7/9dr37nD17Fl26dNG+NqZb7dChQxg0aBCOHj2KPn361Hv+2NhYtGvXDl9++aXB7YZajsLCwtitRkREjVdeDqSl1YQlTXD691+x6/3mK2ENcXcXg1LbtmI4Cw6uCWqa18HBHCx+g810q82dOxcJCQn17tOhQweTz7t69Wr07t27wWAEAP369cP+/fvr3C6XyyHnB4uIiMzJxaVmuo+bCYI4LjEjA7h0Sf9R8zwvDygpES/8SEmp/718ffXDU3BwzRjDgAD9R3blAbByOPL394e/v79Zz1lSUoJNmzZhyZIlRu2fnJyM4OBgs9ZARETUaBJJTXip6z/55eU1YSk7W5x77MoV/edXrohjGPPza67Aa4iXl35Y0n3u6ytefefjo/9oh4HKZsYcZWRkoKCgABkZGVCpVEhOTgYAREZGwl1nJtONGzeiuroa48ePr3WO5cuXIyIiAt26dUNFRQVWr16N3bt3Y/v27c31YxARETWdi0vNrPJ1EQTg+nX9sJSdLS6auc2uXq15rlLVzIGWmmp8LW5u+mHJUIDSXCl78xWzHh4tckoQmwlHixYtwvr167Wvo6OjAQB79uxBXFycdn1SUhIeeOABg5fqV1ZWYu7cubh8+TJcXV3Rs2dP7Ny50+DEkERERDZNM2eZj484a3991GpxTjbdsKR5rnksKBDDluaxsFAMYKWl4pKV1bg6XVxqB6eePYFlyxp3PjOwuXmOrI3zHBEREUEMVEVFtUOT7nPNo6FZ+svL6z73bbcB9YwHbgybGZBNRERENkoqrelGa4yqKnG6A01o0g1PXl7mrdVEDEdERETU/Bwda7r9WhjjbihGRERE1EowHBERERHpYDgiIiIi0sFwRERERKSD4YiIiIhIB8MRERERkQ6GIyIiIiIdDEdEREREOhiOiIiIiHQwHBERERHpYDgiIiIi0sFwRERERKSD4YiIiIhIh4O1C7A1giAAABQKhZUrISIiImNpvrc13+P1YTgyUXFxMQAgLCzMypUQERGRqYqLi+Hl5VXvPhLBmAhFWmq1GleuXIGHhwckEom1y9Fz66234q+//rKp92nKuUw51pz7Nna7QqFAWFgYMjMz4enpaVQtLUFzfa7M+V7N9bkyZX9j9qtvH36uWsZ7NfZcLfVzVdd2W/1cAXX/vIIgoLi4GCEhIZBK6x9VxJYjE0mlUoSGhlq7DINkMlmzfIjN+T5NOZcpx5pz36Zu9/T0tKlfNs31uTLnezXX58qU/Y3Zr759+LlqGe/V2HO11M9VQ9tt7XMF1P/zNNRipMEB2XZk+vTpNvc+TTmXKceac9+mbrc1zfnzmOu9mutzZcr+xuxX3z78XLWM92rsuVrq58qU97IV5vh52K1G1EwUCgW8vLxQVFRkc/8To5aLnyuyhNb+uWLLEVEzkcvlWLx4MeRyubVLITvCzxVZQmv/XLHliIiIiEgHW46IiIiIdDAcEREREelgOCIiIiLSwXBEREREpIPhiIiIiEgHwxGRlRUWFqJv377o3bs3unfvjs8//9zaJZEdKSsrQ3h4OJ577jlrl0J2pH379ujZsyd69+6NYcOGWbscs+PtQ4iszMPDA3/88QdcXV1RWlqK7t2744EHHoCvr6+1SyM78Oabb2LAgAHWLoPs0MGDB+Hu7m7tMiyCLUdEViaTyeDq6goAUCqVEAQBnH6MzOHChQs4d+4c7rrrLmuXQmRTGI6ImuiPP/7AmDFjEBISAolEgi1bttTa5+OPP0b79u3h7OyM/v37488//9TbXlhYiF69eiE0NBTPP/88/Pz8mql6aqnM8bl67rnnsGTJkmaqmGyFOT5bEokEsbGxuPXWW7Fhw4Zmqrz5MBwRNVFpaSl69eqFjz/+2OD2jRs3Ys6cOVi8eDGOHz+OXr16YdSoUbh69ap2H29vb5w4cQJpaWn473//i9zc3OYqn1qopn6ufvjhB3Tq1AmdOnVqzrLJBpjjd9b+/ftx7Ngx/Pjjj3jrrbdw8uTJ5iq/eQhEZDYAhO+//15vXb9+/YTp06drX6tUKiEkJERYsmSJwXNMmzZN+N///mfJMsnGNOZztWDBAiE0NFQIDw8XfH19BU9PT+HVV19tzrLJBpjjd9Zzzz0nrF271oJVNj+2HBFZUGVlJY4dO4YRI0Zo10mlUowYMQKHDh0CAOTm5qK4uBgAUFRUhD/++AOdO3e2Sr1kG4z5XC1ZsgSZmZlIT0/He++9h8mTJ2PRokXWKplshDGfrdLSUu3vrJKSEuzevRvdunWzSr2WwqvViCzo2rVrUKlUCAwM1FsfGBiIc+fOAQAuXbqEKVOmaAdiP/vss+jRo4c1yiUbYczniqgxjPls5ebm4v777wcAqFQqTJ48Gbfeemuz12pJDEdEVtavXz8kJydbuwyyYwkJCdYugexIhw4dcOLECWuXYVHsViOyID8/P8hksloDrHNzcxEUFGSlqsjW8XNFlsLPlojhiMiCnJyc0KdPH+zatUu7Tq1WY9euXRg4cKAVKyNbxs8VWQo/WyJ2qxE1UUlJCVJTU7Wv09LSkJycDB8fH7Rr1w5z5sxBfHw8+vbti379+mH58uUoLS3FxIkTrVg1tXT8XJGl8LNlBGtfLkdk6/bs2SMAqLXEx8dr91mxYoXQrl07wcnJSejXr59w+PBh6xVMNoGfK7IUfrYaJhEE3qeAiIiISINjjoiIiIh0MBwRERER6WA4IiIiItLBcERERESkg+GIiIiISAfDEREREZEOhiMiIiIiHQxHRERERDoYjoiIrKCyshKRkZE4ePCgWc+7detW9O7dG2q12qznJWpNGI6IqMkSEhIgkUhqLbr3byJ9K1euREREBAYNGqRdJ5FIsGXLllr7JiQkYOzYsUad984774SjoyM2bNhgpkqJWh+GIyIyizvvvBPZ2dl6S0RERK39KisrrVBdyyIIAj766CMkJiZa5PwJCQn4v//7P4ucm6g1YDgiIrOQy+UICgrSW2QyGeLi4jBjxgzMmjULfn5+GDVqFADg9OnTuOuuu+Du7o7AwEBMmDAB165d056vtLQUTz75JNzd3REcHIz3338fcXFxmDVrlnYfQy0t3t7eWLdunfZ1ZmYmHn74YXh7e8PHxwf33Xcf0tPTtds1rTLvvfcegoOD4evri+nTp6Oqqkq7j1KpxPz58xEWFga5XI7IyEgkJSVBEARERkbivffe06shOTm53pazY8eO4eLFixg9erSJf8pAenq6wVa6uLg47T5jxozB0aNHcfHiRZPPT0QMR0TUDNavXw8nJyccOHAAK1euRGFhIYYPH47o6GgcPXoUW7duRW5uLh5++GHtMc8//zx+//13/PDDD9i+fTv27t2L48ePm/S+VVVVGDVqFDw8PLBv3z4cOHAA7u7uuPPOO/VasPbs2YOLFy9iz549WL9+PdatW6cXsJ588kl8/fXX+L//+z+cPXsWn332Gdzd3SGRSDBp0iSsXbtW733Xrl2LoUOHIjIy0mBd+/btQ6dOneDh4WHSzwMAYWFheq1zf//9N3x9fTF06FDtPu3atUNgYCD27dtn8vmJCIBARNRE8fHxgkwmE9zc3LTLQw89JAiCIMTGxgrR0dF6+7/++uvCHXfcobcuMzNTACD8888/QnFxseDk5CRs2rRJuz0/P19wcXER/vOf/2jXARC+//57vfN4eXkJa9euFQRBEL788kuhc+fOglqt1m5XKpWCi4uLsG3bNm3t4eHhQnV1tXafcePGCY888oggCILwzz//CACEHTt2GPzZL1++LMhkMuHIkSOCIAhCZWWl4OfnJ6xbt67OP6///Oc/wvDhw2utByA4Ozvr/Tm6ubkJDg4Own333Vdr//LycqF///7CPffcI6hUKr1t0dHRwiuvvFJnDURUNwfrRjMishfDhg3Dp59+qn3t5uamfd6nTx+9fU+cOIE9e/bA3d291nkuXryI8vJyVFZWon///tr1Pj4+6Ny5s0k1nThxAqmpqbVaaCoqKvS6nLp16waZTKZ9HRwcjFOnTgEQu8hkMhliY2MNvkdISAhGjx6NNWvWoF+/fvjpp5+gVCoxbty4OusqLy+Hs7OzwW3Lli3DiBEj9NbNnz8fKpWq1r6TJk1CcXExduzYAalUvyPAxcUFZWVlddZARHVjOCIis3Bzc6uzG0k3KAFASUkJxowZg7fffrvWvsHBwUZf5SaRSCAIgt463bFCJSUl6NOnj8Ert/z9/bXPHR0da51Xcym8i4tLg3U89dRTmDBhApYtW4a1a9fikUcegaura537+/n5acPXzYKCgmr9OXp4eKCwsFBv3RtvvIFt27bhzz//NNg9V1BQoPczEpHxGI6IqNnFxMRg8+bNaN++PRwcav8auuWWW+Do6IgjR46gXbt2AIDr16/j/Pnzei04/v7+yM7O1r6+cOGCXmtJTEwMNm7ciICAAHh6ejaq1h49ekCtVuP333+v1aKjcffdd8PNzQ2ffvoptm7dij/++KPec0ZHR+PTTz+FIAiQSCQm17R582a89tpr+O2333DLLbfU2q5pGYuOjjb53ETEAdlEZAXTp09HQUEBHnvsMfz111+4ePEitm3bhokTJ0KlUsHd3R2JiYl4/vnnsXv3bpw+fRoJCQm1uo6GDx+Ojz76CH///TeOHj2Kp59+Wq8V6IknnoCfnx/uu+8+7Nu3D2lpadi7dy9mzpyJrKwso2pt37494uPjMWnSJGzZskV7jk2bNmn3kclkSEhIwMKFC9GxY0cMHDiw3nMOGzYMJSUlOHPmjAl/aqLTp0/jySefxPz589GtWzfk5OQgJycHBQUF2n0OHz4MuVzeYB1EZBjDERE1u5CQEBw4cAAqlQp33HEHevTogVmzZsHb21sbgN59910MGTIEY8aMwYgRIzB48OBaY5fef/99hIWFYciQIXj88cfx3HPP6XVnubq64o8//kC7du3wwAMPoGvXrkhMTERFRYVJLUmffvopHnroITzzzDPo0qULJk+ejNLSUr19EhMTUVlZiYkTJzZ4Pl9fX9x///2Nmqjx6NGjKCsrwxtvvIHg4GDt8sADD2j3+frrr/HEE0/U27VHRHWTCDd32BMRtVBxcXHo3bs3li9fbu1Satm3bx9uv/12ZGZmIjAwsMH9T548iZEjR+LixYsGB6Y31rVr19C5c2ccPXrU4CScRNQwthwRETWBUqlEVlYWXnnlFYwbN86oYAQAPXv2xNtvv420tDSz1pOeno5PPvmEwYioCTggm4ioCb7++mskJiaid+/e+OKLL0w6NiEhwez19O3bF3379jX7eYlaE3arEREREelgtxoRERGRDoYjIiIiIh0MR0REREQ6GI6IiIiIdDAcEREREelgOCIiIiLSwXBEREREpIPhiIiIiEgHwxERERGRjv8HuX/HLvg9iiAAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "Vin = 90;\n",
    "Lp = 600E-6;\n",
    "rc = 30E-3;\n",
    "C1 = 680E-6;\n",
    "Rload = 5;\n",
    "Fsw = 65E3;\n",
    "D = 0.470\n",
    "N = -0.250\n",
    "\n",
    "### Analytical \n",
    "H0 =-1* N*Vin / (( 1 - D)**2 )\n",
    "wz1 = 1 / ( rc * C1)\n",
    "wz2 = (Rload * ( 1 - D)**2) / (D*Lp * N**2)\n",
    "w0 = (1-D)/(N*math.sqrt(Lp*C1))\n",
    "Q = ((1-D) / N) *Rload*math.sqrt(C1/Lp);\n",
    "tf = H0 * control.tf ( [-1/(wz1*wz2),1/wz1 - 1/wz2 , 1],  [1/(w0**2), 1/(w0*Q), 1])\n",
    "mag_ref, phase_ref, omega_ref = control.bode_plot(tf, plot=False);\n",
    "frequency_ref = np.multiply(omega_ref, 1 / (2*math.pi) )\n",
    "mag_ref = 20*np.log10(mag_ref);\n",
    "phase_ref  = np.multiply(phase_ref, 180 / (math.pi) )\n",
    "\n",
    "### Simulation\n",
    "file_path = os.path.join(os.getcwd(), \"ACSweepTest.jsimba\")\n",
    "project = ProjectRepository(file_path)\n",
    "design = project.GetDesignByName('Flyback Converter - CCM - Open Loop')\n",
    "design.Circuit.GetDeviceByName('Vin').Value = Vin;\n",
    "design.Circuit.GetDeviceByName('Lp').Value = Lp;\n",
    "design.Circuit.GetDeviceByName('C1').Value = C1;\n",
    "design.Circuit.GetDeviceByName('Rload').Value = Rload;\n",
    "design.Circuit.GetDeviceByName('D').Value = D;\n",
    "design.Circuit.GetDeviceByName('Fsw').Frequency = Fsw;\n",
    "design.Circuit.GetDeviceByName('TX1').Ratio = N;\n",
    "\n",
    "acsweep =  project.GetACSweepByName('AC Sweep - Flyback CCM - Open Loop');\n",
    "acsweep.Design = design;\n",
    "acsweep.Fmin = 200;\n",
    "acsweep.Fmax = Fsw/4;\n",
    "acsweep.MagMin  = 0.001;\n",
    "acsweep.MagMax  = 0.01;\n",
    "acsweep.NumberOfPoints  = 41;\n",
    "job = acsweep.NewJob();\n",
    "status = job.Run();\n",
    "print(\"Success: \" + str(status==Status.OK))\n",
    "print(\"Runtime: \" + \"{:.3f}\".format(job.RunTime) + \"s\")\n",
    "mag_sim = job.GetSignalByName('Rload - Voltage Magnitude').DataPoints\n",
    "phase_sim = job.GetSignalByName('Rload - Voltage Angle').DataPoints\n",
    "frequency_sim = job.FrequencyPoints\n",
    "\n",
    "### Plot\n",
    "plt.figure()\n",
    "plt.semilogx(frequency_sim, mag_sim, 'g.-', label='SIMBA')    # Bode magnitude plot\n",
    "plt.semilogx(frequency_ref, mag_ref, 'r', label='Reference')    # Bode magnitude plot\n",
    "plt.xlabel('Frequency (Hz)')\n",
    "plt.ylabel('Magnitude (dB)')\n",
    "plt.legend()\n",
    "plt.figure()\n",
    "plt.semilogx(frequency_sim, phase_sim, 'g.-', label='SIMBA')  # Bode phase plot\n",
    "plt.semilogx(frequency_ref, phase_ref, 'r', label='Reference')    # Bode magnitude plot\n",
    "plt.xlabel('Frequency (Hz)')\n",
    "plt.ylabel('Phase (°)')\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  }
 ],
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  "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": "3.11.4"
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