CE302-Week4-Exercise.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2D Plotting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "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": [
    "x = [0, 1, 2, 3] \n",
    "y = [0, 1, 4, 9]\n",
    "plt.plot(x, y)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "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": [
    "x = np.linspace(-5,5, 100)\n",
    "plt.plot(x, x**2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "![](1-Figures/w4p1.png)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "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": [
    "x = np.linspace(-5,5, 100)\n",
    "plt.plot(x, x**2, 'g--')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "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": [
    "#Two plots\n",
    "x = np.linspace(-5,5,20)\n",
    "plt.plot(x, x**2, 'ko')\n",
    "plt.plot(x, x**3, 'r*')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (10,6))  #fig size!!\n",
    "\n",
    "x = np.linspace(-5,5,20)\n",
    "plt.plot(x, x**2, 'ko')\n",
    "plt.plot(x, x**3, 'r*')\n",
    "plt.title(f'Plot of Various Polynomials from {x[0]} to {x[-1]}')\n",
    "plt.xlabel('X axis', fontsize = 18)\n",
    "plt.ylabel('Y axis', fontsize = 18)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# One of my favorite is the seaborn style, we could change it using the plt.style.use function, and \n",
    "# let’s see if we change it to ‘seaborn-poster’, it will make everything bigger.\n",
    "\n",
    "plt.style.use('seaborn-poster')\n",
    "\n",
    "plt.figure(figsize = (10,6))\n",
    "\n",
    "x = np.linspace(-5,5,20)\n",
    "plt.plot(x, x**2, 'ko')\n",
    "plt.plot(x, x**3, 'r*')\n",
    "plt.title(f'Plot of Various Polynomials from {x[0]} to {x[-1]}')\n",
    "plt.xlabel('X axis')\n",
    "plt.ylabel('Y axis')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize = (10,6))\n",
    "\n",
    "x = np.linspace(-5,5,100)\n",
    "plt.plot(x, x**2, 'ko', label = 'quadratic')\n",
    "plt.plot(x, x**3, 'r*', label = 'cubic')\n",
    "plt.title(f'Plot of Various Polynomials from {x[0]} to {x[-1]}')\n",
    "plt.xlabel('X axis')\n",
    "plt.ylabel('Y axis')\n",
    "plt.legend(loc = 0)  #best location\n",
    "plt.xlim(-6,6)\n",
    "plt.ylim(-10,10)\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1008x576 with 6 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.arange(11)\n",
    "y = x**2\n",
    "\n",
    "plt.figure(figsize = (14, 8))\n",
    "\n",
    "plt.subplot(2, 3, 1)\n",
    "plt.plot(x,y)\n",
    "plt.title('Plot')\n",
    "plt.xlabel('X')\n",
    "plt.ylabel('Y')\n",
    "plt.grid()\n",
    "\n",
    "plt.subplot(2, 3, 2)\n",
    "plt.scatter(x,y)\n",
    "plt.title('Scatter')\n",
    "plt.xlabel('X')\n",
    "plt.ylabel('Y')\n",
    "plt.grid()\n",
    "\n",
    "plt.subplot(2, 3, 3)\n",
    "plt.bar(x,y)\n",
    "plt.title('Bar')\n",
    "plt.xlabel('X')\n",
    "plt.ylabel('Y')\n",
    "plt.grid()\n",
    "\n",
    "plt.subplot(2, 3, 4)\n",
    "plt.loglog(x,y)\n",
    "plt.title('Loglog')\n",
    "plt.xlabel('X')\n",
    "plt.ylabel('Y')\n",
    "plt.grid(which='both')\n",
    "\n",
    "plt.subplot(2, 3, 5)\n",
    "plt.semilogx(x,y)\n",
    "plt.title('Semilogx')\n",
    "plt.xlabel('X')\n",
    "plt.ylabel('Y')\n",
    "plt.grid(which='both')\n",
    "\n",
    "plt.subplot(2, 3, 6)\n",
    "plt.semilogy(x,y)\n",
    "plt.title('Semilogy')\n",
    "plt.xlabel('X')\n",
    "plt.ylabel('Y')\n",
    "plt.grid()\n",
    "\n",
    "plt.tight_layout()\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 921.6x633.6 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from numpy import exp, sin  \n",
    "\n",
    "def g(y):\n",
    "    \n",
    "    return exp(-y)*sin(4*y)\n",
    "\n",
    "y = np.linspace(0, 4, 501)\n",
    "values = g(y)\n",
    "plt.figure()\n",
    "plt.plot(y, values, 'r-')\n",
    "plt.xlabel('$y$'); plt.ylabel('$g(y)$')\n",
    "plt.title('Damped sine wave')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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iIoX21FNPsWTJEs477zzGjRvHxx9/zEUXXUTt2rWJiQldGqEERUqOlBSXjGRmuu0HHoCrrsr7vBtvhH/+07WthWuugV27QhamiIiISDQYNGgQo0aNYtmyZZx33nm8+OKLvPrqq9SuXZvKlSuH7L5KUKTkeOopWL3atbt2heeey/+5zzwDAwe69rZtcPvtwY9PREREJMpcfvnlrFixgqNHj7JkyRK6devGsmXL6Ny5c8juqQRFSoakJPjXv1w7Ls7VncQVYA6HmBgYMQKqVHHbX34JEyYEO0oRERGRqJGSksKtt97KN998w7Rp0/jwww8ZNGgQ5cuX54YbbgjZfTWLl5QMjzwCqamufddd0L59wa9Rvz68+KKbAQzgzjth8WIoUyZ4cYqIiIhEidjYWLZt28Ydd9zB7t27SUxMpE+fPnz11VfUqVMnZPdVgiLht3gxfPaZa1ep4pKVwrr+ejcD2B9/wMqV8N57Gu4lIiIiUghlypTh22+/Lfb7aoiXhN/zz/vbDz0E1aoV/lqxsfD66/7tp5+GgwcLfz0RERERKVZKUCS8Vq+GL75w7apV4bbbin7Nnj3h7LNde8cOtz6KiIiIiJQKSlAkvP79b/+0wnfdBRUrBue6zz7rb7/2mltlXkRERERKPCUoEj7JyW7mLYCEhODWirRtC+ee69o7d/pXphcRERGREk0JioTPyJEuSQG49FKoWTO41w8stn/jDX9PjYiIiIiUWEpQJDyshXfe8W/fcUfw79G1K/Tt69pr18JPPwX/HiIiIiISVEpQJDwWLIBFi1y7UyeXTIRCYOKjYnkRERGREk8JioSHt/YE4NprQ3efc86BunVd+6ef3KxhIiIiIpKnJ598EmMM6enpxXpfJShS/FJTYdQo146Ph8svD9294uPhlltc21p4++3Q3UtEREREikwJihS/iRNhzx7X/tvfoHr10N7vxhtdogLwwQeaclhERESkBFOCIsXPuzAjwGWXhf5+tWvDhRe69r598NVXob+niIiISIRISkpi6NChVKhQgUaNGvH000+TGcLZUZWgSPE6cgTGjHHtChVgyJDiue9NN/nbn3xSPPcUERERiQDnnXceAwYMYMyYMZx77rk88cQTfPTRRyG7X1zIriySmwkT/GufnH02lC9fPPc99VRo0AA2boRJk2DLFn/xvIiIiEiIvPrqq7z66qt5Hte4cWNmzZqVZd8tt9zCd999l+e5gwYNypEwDBw4kGXLlnHfffdx3333FSzobO677z6u9UxqdNpppzF58mQ+++wz375gU4Iixev77/1t77Cr4hATA1dcAS+84IrlP/0U7r+/+O4vIiIiUSk5OZmtW7fmeVz5XH5pu3fv3nydu8db2xtg586dbN26lWTvL4aLYOjQoVm227Zty4IFC4p83WNRgiLFJzMTfvjBtcuUgUGDivf+f/+7S1DADfNSgiIiIiIhVrFiRerUqZPncbVq1cqxr2rVqvk6t1q1ajn21axZkzp16lCxYsX8BVqA6yckJHDkyJEiX/dYlKBI8Zk/H7Ztc+3+/V0NSnFq3Ro6d3ZxLFwIixdDu3bFG4OIiIhElaIMsRo+fDjDhw8v1LmTJk0q1HklgYrkpfgEDu/629/CE8OVV/rbKpYXERERKXGUoEjx8Q7vAsg2lrHYXHaZq0cBV4cSwinyRERERKTglKBI8di82Q2tAmjbFho3Dk8ctWvDwIGuvWkTzJ0bnjhEREREJFdKUKR4/Pijvx2u4V1e55/vb48eHb44REREREqwJ598EmstcXFZy9ZHjBjBunXrQnZfJShSPALrT846K3xxAJxzDhjj2t9846YdFhEREZESQQmKhF5qKkye7No1asApp4Q3njp1oGdP1169GpYsCW88IiIiIuKjBEVC7/ff4fBh1x44EGJjwxsPaJiXiIiISAmlBEVCz9t7Am79k5LgvPP8bSUoIiIiIiWGEhQJvSlT/O0BA8IXR6AmTaBjR9deuBDWrAlrOCIiIlJ6xcTEkKmlC3wyMjKIiSl8mqEERUIrJQVmz3btevXgpJPCG0+gwGFe334bvjhERESkVIuLiyM1NTXcYZQYaWlpOWb+KoiISFCMMQ2MMV8bY/YbYw4YY0YbYxoW4PxWxpivjDG7jDEpxpgVxpi7Qxlz1Jg9G44ede0BA/yzZ5UE557rb48bF7YwREREpHSLi4sjPT1dvShAZmYm6enpRUpQCn9mCWGMKQ9MBo4CVwMWGAZMMca0t9YeyuP8rp7zpwI3APuBZkCFEIYdPQKHd5WU+hOvtm2hQQPYuBFmzIADB6BSpXBHJSIiIqVQ1apV2blzJ+XLlye2JEwIdAxHjhwBCEmMGRkZHD58mGrVqhXpOpHQg3Ij0BQ411o7xlo7FjgbaATcfLwTjTExwEfAJGvt2Z7zp1hr37XWvhbyyKNBYIF8Sak/8TIGhgxx7fR0+OWX8MYjIiIipVZ8fDy1atUiPj4+3KEc17Jly1i2bFlIrh2sZ1Dqe1Bwycgca+1q7w5rbZIx5lfgHOB4iUY/oDVwS0gjjFYHD7ophsEVpTdqFN54cnPmmfDOO649blzWuhQRERGRAjDGULZs2XCHcVzeYWjly5cPcyTHFgk9KG2Av3LZvwSXfBxPb8/PssaYOcaYNGPMDmPMv40x5YIaZTSaOdP1TEDJ6z3xGjgQvFn+uHFaVV5EREQkzCKhB6UasDeX/XuAqnmcW9fz8wvgTeAhoCvwNNAAOO8Y5x2TMWaet928eXOmTp1a0EsERXJyMkDY7g/QZORIvH0mS084gR1hjOV42rdvT7V582DrVua+/z4HPTONlYRnWNrpGQaHnmPR6RkWnZ5h0ekZFp2eYdGVhmcYCT0o4Arjs8vPdFHez/+JtfZxa+1Ua+0rwFPAucaYvHpg5Dgq/+Xv2Nrfvn2BzrXWFttMGHtOOcXXrjZnTrHcU0RERERyFwk9KHtxvSjZVSX3npVAuz0/J2bbPwF4AegILC1IMNbaLt52165dbb9+/QpyetB4s+Jw3Z+0NFi1yrXr1qXHxRfna4rhjRs38tJLL/HNN98wceJE2rRpk+V9ay0m2FMV16kD//0vAE1XrKCp55mF/RlGAD3D4NBzLDo9w6LTMyw6PcOi0zMsutLwDCOhB2UJrg4lu9bknVws8fzM3gPj/QasyawLa9Eit0gjQI8eeSYn1lpef/11WrRowZtvvsnWrVvZsWNHlmM2bdpEp06dmD59enBjbd4cmjZ17VmzYG9eea2IiIiIhEokJCjfAd2NMU29O4wxjYFenveOZzxu/ZTB2faf4fk5N0gxRh/v6vHgEpTjyMjI4Nprr+Xee+8lxZPUxMfHk5aWluW4Bx98kIULFzJgwADeeuut4MVqDAz2/BXIzMy6douIiIiIFKtISFDeA9YBY40x5xhjzgbGAhuBd7wHGWMaGWPSjTGPe/dZa3cDzwO3GGOeM8acZox5CHgc+Chw6mIpoMAEpWfPYx6WmZnJDTfcwEcffeTbd9NNN7Fp0yZOP/10374jR46wdu1awCU0d9xxBy+//HLw4h00yN/WeigiIiIiYVPqExTPSvEDgJXASGAUkAQMsNYeDDjUALHk/MxPA/8HXAyMA24FXsYtACmFNWuW+1mmDHTufMzDXnjhBUaMGAG4FU0/+eQT3nnnHWrVqpXluLJlyzJ9+nTuuusu377/+7//48MPPwxOvP36QYznr4YSFBEREZGwiYQieay1G4AL8jhmHbnM7GWttbjFHLVyfLBs2wbr1rl2586QkJDrYVOmTOGxxx7zbX/88cdcfvnlx7xsfHw8r7/+OpUqVWLYsGEA3HzzzTRv3pxevXoVLeYqVaBbN/jtN1fcv2FD0a4nIiIiIoVS6ntQpATKR/3JwYMHueaaa3xTCT/yyCPHTU68jDE8/fTT3HDDDQCkpaVx6aWXsjcYhe2nneZvT5pU9OuJiIiISIEpQZHgy0eCkpSU5Gv36tWLp556Kt+XN8bw1ltv0dNT27Jp0yZuvvnmwsUaKDBB0TAvERERkbBQgiLBl48EpV27dixZsoR7772X//3vf8TGxhboFmXKlGHUqFFUqlQJgK+++oqxY8cWOmRfrOXKufYvv4DNbf1PEREREQklJSgSXKmpMNczO3ODBlC//jEPrVChAq+99hotW7Ys1K0aN27M66+/DsCgQYNo165doa7jk5AAp57q2jt2kBjQyyMiIiIixSMiiuSlBPnrLzhyxLW7dw/57a655hpq167N4MGDg7PC/Gmnwc8/A1B13jwONW2axwkiIiIiEkzqQZHgmjfP3+7aNcfbH330ETt37gza7YwxnHnmmcFJTiBLHUrVwM8iIiIiIsVCCYoEV+CX+i5dsrz1559/cs0119CoUSOeffbZYg4sn9q3h2rVAKj811+QkRHmgERERESiixIUCa7ABKVTpyxvvfLKKwCkpKRQzluMHkTWWiZOnEi/fv18q84XWEwM9OkDQNyhQ1RYvTqIEYqIiIhIXpSgSPCkpsKiRa7dpImvJwJg+/btfPnllwBUrlyZm266Kei3Hz58OKeffjrTpk3jueeeK/yF+vb1NassXBiEyEREREQkv5SgSPAsXeqSFMgxvOu9994jLS0NgOuuu44KFSoE/fYXX3yx77offfQR67yr2ReUEhQRERGRsFGCIsFzjPqTjIwM3nnnHd/2bbfdFpLbV69enTvuuAOA9PT0wveidOgAlSsDUHnxYvCsdi8iIiIioacERYInMEHp3NnX/OWXX9i0aRMAp59+OieddFLIQrjvvvtITEwE4MMPP2Tz5s0Fv0hsLPTuDUB8cjIsXhzMEEVERETkOJSgSPAcowflww8/9LWvu+66kIZQo0YNbr31VsD1ogwfPrxwFwoY5sW0aUGITERERETyQwmKBEdaGnjrNRo1gurVAdi7dy9jxowBoEqVKpxzzjkhD+WOO+4gJsb91X7nnXc44l04siD69fO3laCIiIiIFBslKBIcS5fC0aOuHdB7Mnr0aI569l966aWULVs25KE0atTIlwjt3LnTN3tYgXTqRHr58q49fTpYG8QIRURERORYlKBIcMyf728H1J/07t2bBx98kEaNGnHFFVcUWzh33nmnr/2f//wHW9AEIy6O/W3buvauXS4BExEREZGQU4IiwXGM+pMWLVrwwgsvkJSURK9evYotnH79+tHWk2AcPHiQ3bt3F/ga+zt08G/MmBGs0ERERETkOJSgSHAsWOBvB/SgeBljMMYUWzjGGF555RV+/vlnlixZQo0aNQp8DV8PCsCvvwYxOhERERE5lrhwByARwFr/VLy1a0OtWuGNx+OMM84o0vnJLVqQGRdHTHo6zJoVpKhERERE5HjUgyJFt349JCe7dvv2gBtW9cEHH7Bt27YwBlY0mQkJHGzWzG2sXQul+LOIiIiIlBZKUKToFi3ytz0Jyi+//ML1119PnTp1eOaZZ8IUWFY7duwo8DlZhnmpF0VEREQk5JSgSNHlkqB8//33vl3t2rUr7oiymDBhAoMHD6ZOnTosLeBsXPvbtPFvqA5FREREJOSUoEjReetPANq1IzMzkx9//BGAhIQETjvttDAF5ixcuJCff/6ZzMxMRowYUaBzD6gHRURERKRYKUGRovP2oMTGQqtWzJs3j+3btwPQv39/KlSoEMbg4O9//zuxsbEAjBw5kvT09Hyfm1q9OjRp4jbmzYOUlFCEKCIiIiIeSlCkaFJSYOVK127ZEhISsgzvOuuss8IUmF/t2rU588wzAdi2bRs///xzwS7gXb8lLS3rei8iIiIiEnRKUKRoli2DzEzX9tSa/PDDD763S0KCAnD11Vf72p9//nnBTu7Z099WHYqIiIhISClBkaLJViC/detWFngWbWzXrh2NGjUKU2BZDR061DfUbMyYMaQUZKiWtwcFVIciIiIiEmJKUKRosiUoU6ZM8W0OHjw4DAHlrly5cpx77rmAW6Nl3Lhx+T+5TRuoVMm1Z81yC1OKiIiISEgoQZGiCZzBq317Jk+e7NscMGBAGAI6tksvvdTXLtAwr9hY6N7dtXft8tfciIiIiEjQKUGRovH2oFSuDPXr06RJE9q0aUN8fDy9e/cOb2zZDBo0iKpVqwLw448/kpycnP+TA+tQNMxLREREJGSUoEjhbd8O3tXZ27cHY3jkkUf466+/2L59e9inF86uTJkynH/++QDUrVuXpKSk/J8cWIeiQnkRERGRkFGCIoWXywryXt6eipLm/vvvZ+7cuaxatYr22WI+rlNOgRjPPxf1oIiIiIiETFy4A5BSbOlSf7tNm/DFUQAtW7Ys3IkVK7ok7M8/3dTKe/ZAtWpBjU1ERERE1IMiRbFsma9pW7Vi7969YQymGAQO85ozJ3xxiIiIiEQwJShSeAE9KGvLl6d69ep07tyZ4cOHhzGogjl8+HD+Dz7lFH/799+DH4yIiIiIKEGRIvAmKDVqMGXRIqy1LFiwgG3btoU3rnx4//336devH3Xr1uXIkSP5O+nkk/1tJSgiIiIiIaEERQpn507Yvdu1W7XKskBj//79wxRU/k2ePJlp06axf/9+fvnll/yd1KwZVKni2r//rgUbRUREREJACYoUTmCBfOvWzPLMbFWmTBlOCRwKVUKdd955vva3336bv5NiYqBbN9fevRvWrg1BZCIiIiLRTQmKFE5Agfy2evVYt24dAF26dKFs2bJhCir/Bg8eTEJCAgDfffcd6enp+TsxcJjXb7+FIDIRERGR6KYERQonoAdldsCX++7du4cjmgKrUKECp59+OgC7du3i1/wuvqhCeREREZGQUoIihROYoHhXkwd69OgRjmgKJXCY15gxY/J3knpQREREREJKCYoUjneIV8WKzFmyxLe7NCUoZ511FsYYAH788cf8nXTCCdCokWsvWACpqSGKTkRERCQ6KUGRgtu3D7ZsASCtZUvmzp0LQP369alfv34YAyuYmjVr+gr6V61axcqVK/N3orcX5ehRWLw4RNGJiIiIRCclKFJwAQXyi044gZSUFKB09Z54nXXWWb72Dz/8kL+TAutQNMxLREREJKiUoEjBBSQonfv0YfXq1YwcOZJbbrkljEEVTmCC8scff+TvJC3YKCIiIhIyceEOQEqhgAJ506YNJ554IieeeGIYAyq89u3b8/rrr3PaaafRunXr/J3UuTPExkJGhnpQRERERIJMCYoUXEAPCq1ahS+OIDDGcPfddxfspMREaNsWFi6E5cth/36oXDk0AYqIiIhEGQ3xkoLz9qCUK+ef0SraBA7zyu/QMBERERHJkxIUKZiUFFi/HoA5devy1LBhTJgwgQMHDoQ5sGKmBRtFREREQkIJihTMmjVgLQA/JSTw5JNPcsYZZ+R/HZESavXq1bz00ksMHDjQN23ycWnBRhEREZGQUA2KFEzAWiHz0tJ87c6dO4cjmqD56aefePDBBwEYP348Xbt2Pf4JrVu7WpRDh1yCYi14Fn0UERERkcJTD4oUTECCMn/XLgAqVKhAs2bNwhVRUJxxxhm+9s8//5z3CbGx4E1itm+HjRtDFJmIiIhIdFGCIgXjSVC2AVv27gWgY8eOxMSU7r9KJ510Ek2aNAFgzpw57N+/P++TunXzt+fNC1FkIiIiItGldH+rlOK3YgUACwJ2lfbhXeCmG/b2omRkZDBp0qS8T+rSxd9WgiIiIiISFEpQpGA8PSjzy5f37YqEBAWyDvOaMGFC3icE1qnkp7BeRERERPKkBEXyb88e8NSdzC9Xzrc7UhKU/v37ExsbC7g6FOuZreyYTjzRv0DjvHm+2c1EREREpPCUoEj+rVrla847ehSAsmXL0qqUrybvVblyZXr06AHAunXr2LRp0/FPMMY/zGvXLtiwIcQRioiIiEQ+JSiSf57hXbuB9QcPAtChQwfi4iJnturAYV5/5GeF+MBhXqpDERERESkyJSiSf54EJRk49+STadCgQcQM7/IKTFDytWBjYKG86lBEREREiixyfvUtoeeZwasx8O0HH0CbNqSnp4c1pGDr3Lkz55xzDj179qR69ep5n6AeFBEREZGgUoIi+eddpNEYVyAOETW8CyA2NpYxY8YAMHXq1LxPaNIEqlaFvXtdD4pWlBcREREpEg3xkvzJzPQXyTdqBGXLhjeekiKwUH7PHli3LqzhiIiIiJR2SlAkf7ZsgcOHsYBt3jzc0ZQsGuYlIiIiEjRKUCR/PMO7/gCqT5tG3759+fjjj8MbUwhZa0lKSuLrr79ml2ftl2NSobyIiIhI0ChBkfzxFMgvBvYePcr06dPZtm1beGMKoUceeYTrrruOt956i8mTJx//YPWgiIiIiASNEhTJH0/9yeKAXe3atQtPLMXAu2AjwKRJk45/cKNGUK2aa2tFeREREZEiUYIi+bNmDRA9CUrfvn2JiXH/PPLsQTHG34uydy8kJYU4OhEREZHIpQRF8idbglKlShXq1asXvnhCrFKlSrRo0QKA1atXs2HDhuOfoDoUERERkaBQgiJ5y8yENWvYAez07GrXrh0mwtf76Ny5s6+tOhQRERGR4qEERfK2dSscORI1w7u8AhOUPOtQ1IMiIiIiEhRKUCRvq1cD0VN/4tWmTRvi4+MB14Nij1f83rAh1Kjh2iqUFxERESk0JSiSt1wK5Nu2bRueWIpRQkKC73Nu2bKFFZ6plnMVuKL8/v0qlBcREREpJCUokrcoTVCggHUonTr52/PnhygiERERkcgWEQmKMaaBMeZrY8x+Y8wBY8xoY0zDQlznYWOMNcbMDEWcpZZniNcbwFuPPsqDDz5IlSpVwhpScencuTPx8fGceuqp1KxZ8/gHByYoCxaENjARERGRCBUX7gCKyhhTHpgMHAWuBiwwDJhijGlvrT2Uz+s0BR4BdoQq1lLL04PSA+jxz39CuXLhjacYtWjRgn379lG+fPm8Dw7obVGCIiIiIlI4pT5BAW4EmgItrLWrAYwxi4BVwM3Aa/m8ztvAKKAFkfFcgsNaXw8K9epFVXICEBsbm7/kBKBpU6hYEZKTlaCIiIiIFFIkDPE6G5jjTU4ArLVJwK/AOfm5gDHmcqAz8HBIIizN9uxxRd8AJ54Y3lhKupgY6NjRtbdtc9Mzi4iIiEiBREKC0gb4K5f9S4DWeZ1sjKkK/Av4P2vtniDHVvp5hndNB36vXJkDBw6EN54wstaybdu24x+kOhQRERGRIomEoUzVgL257N8DVM3H+S8DK4ERwQjGGONbRrx58+ZMnTo1GJctsOTkZIAi37/WL7/QGrgHWPD995gqVRg/fjwJCQlFDbHEC3yGb7/9NtOmTWP//v18//33xMXl/k+ndrlytPS0144ezYb8Dg+LUMH6exjt9ByLTs+w6PQMi07PsOj0DIuuNDzDSOhBAVcYn53J6yRjTB/gKuBWe9xV+KJXuS1byASWe7ZPOOGEqEhOstu2bRvbt2/nyJEjrFy58pjHJTdr5mtXXLWqOEITERERiSiR0IOyF9eLkl1Vcu9ZCfQO8D6wyRhTxbMvDoj1bKdYa48WJBhrbRdvu2vXrrZfv34FOT1ovFlxke8/YgTrgRTPZqdOnYp+zVIi8BleeOGFTJ8+HXC/eTjmM+jVC26/HY4epebGjVHzrI4laH8Po5yeY9HpGRadnmHR6RkWnZ5h0ZWGZxgJPShLcHUo2bUGluZxbivgFlwi4331Arp72rcGL8xSavVqlgVstmzZ8piHRrLAf8TTpk079oHx8eBdxDIpCfbtC2lcIiIiIpEmEhKU74DunnVMADDGNMYlGt/lcW7/XF4LcUX3/YGvQxBv6bJmTZYEpVWrVmELJZzatGlDtWquo27mzJmkp6cf++DAQvk//wxtYCIiIiIRJhISlPeAdcBYY8w5xpizgbHARtwQLgCMMY2MMenGmMe9+6y1U7O/gH3Afs/2puL8ICXOoUOwbZuv/gSitwclJiaGU089FXBDvP48XuKhBRtFRERECq3UJyieleIH4GbiGolbbDEJGGCtPRhwqAFiiYDPXGzWrgVQD4pH3759fe3jDvMK7EGZPz+EEYmIiIhEnkgoksdauwG4II9j1pGPmb2stf2CE1UESEoC/AlKjRo1qFGjRvjiCbPABGXq1Kncd999uR/Yvr1btDEzUz0oIiIiIgWk3gQ5tqQkdgG7PJvROrzLq3379lSpUgWAGTNmkJGRkfuB5ctDixauvXw5pKTkfpyIiIiI5KAERY4tKYmNQDnPZjQP7wKIjY2lT58+ABw4cOC466H4hnllZMDixcUQnYiIiEhkUIIix5aURCfgILBu2jQeeeSRcEcUdvfddx/fffcdu3fvPn7CFlgorzoUERERkXyLiBoUCRFPDUpMTAyNevRwa3xEucA6lOMKLJRXHYqIiIhIvqkHRXJnrS9BoX59JScF1bGjv60ERURERCTflKBI7nbvhoOeWZqbNAlvLKVRtWrQqJFrL1oEaWnhjUdERESklFCCIrlLSuIwcAnw5L59TJgwIdwRlRj79+/nq6++4vbbb+fzzz8/9oHeOpSjR91sXiIiIiKSJyUokrukJFYDXwJPLVzIBx98EO6ISozly5dz8cUX89///pevv/762AeqDkVERESkwJSgSO6SklgVsNm8efOwhVLSdO7cmcTERMCtKG+tzf1AJSgiIiIiBaYERXKXLUFp1qxZ2EIpaeLj4+nVqxcAu3btYunSpbkfqARFREREpMCUoEjulKAcV+B0w9OmTcv9oLp1oWZN116wADIziyEyERERkdJNCYrkbu1aAtdJV4KSVb9+/XztYyYoxvgL5Q8c8E/bLCIiIiLHpARFcsrIgPXrfT0oVatWpXr16mENqaTp2rUr5cqVAwpQh/Lnn6EPTERERKSUU4IiOW3ZwoG0NLZ7NlUgn1OZMmXo2bMnANu3b2flypW5H9ihg7+9cGExRCYiIiJSuilBkZw8Uwx7aXhX7k499VRfe+bMmbkfFLiivHpQRERERPKkBEVyUoF8vvTu3dvXnjFjRu4HNWsGnqFg6kERERERyVtcuAOQEigpiZrAecCqBg1o06ZNuCMqkbp37067du3o0aMHQ4cOzf2g2Fho1w5+/x02bIA9e6BateINVERERKQUUYIiOSUlMQAYAPDtt9ClS5gDKpnKly/PokWL8j6wQweXoAAsWgQBM4CJiIiISFYa4iU5rVvnbzduHK4oIofqUERERETyTQmK5LRhg/uZmKjhSMGgmbxERERE8k0JimSVkYHduBEL0KiRW2xQ8pScnMyvv/6a+5vt2/vb6kEREREROS4lKJLV1q38kZFBFaDrpk0MHz483BGVeJdeeilVqlShT58+7Nu3L+cBFSvCiSe69tKlkJparPGJiIiIlCZKUCQrzwryB4B5Bw6we/fucEdU4lWuXJnMzEystcyePTv3g7zDvFJTYfny4gtOREREpJRRgiJZbdigNVAKqE+fPr72MddDCSyUVx2KiIiIyDEpQZGs1q/XKvIFlK8ERYXyIiIiIvmiBEWy2rCBNQGbJ510UthCKS0aNWpEgwYNAPj99985cuRIzoM01bCIiIhIvihBkazWr2etp1mzenUqVqwY1nBKi969ewOQmprK3Llzcx7QoAFUqeLaCxeCtcUXnIiIiEgpogRFskheu5YdnnZT78xTkqc8h3kZ4+9F2bULtmwpnsBEREREShklKOJnLUnr1/s2laDkn+pQRERERIJDCYr47dvH2pQU32bTpk3DGEzp0rp1a6pWrQrArFmzyMjIyHmQ6lBERERE8qQERfw2bPDVn4ASlIKIiYmhV69eAJQrV47NmzfnPEg9KCIiIiJ5UoIifuvXMxR4H3ikZ09OOeWUcEdUqjz//POsWrWKLVu20LBhw5wHtG4NcXGurR4UERERkVzFhTsAKUE2bKAF0ALg6quhTZswB1S6tG3b9vgHJCRAq1aweDGsWgWHDkFiYvEEJyIiIlJKqAdF/AIK5MmtB0CKzluHYq1LVEREREQkCyUo4heYoDRqFL44IpnqUERERESOSwmK+CQnJfErsBWwnpXRpWBWr17NU089xWmnncYXX3yR8wDN5CUiIiJyXEpQxGf+2rX0BuoCd//zn+EOp1Rau3YtTz75JJMmTWLixIk5D1APioiIiMhxKUER5+hR1u7Z49ts3Lhx+GIpxbp3705MjPtnNXPmzJwH1KgB9eq59qJFkJlZjNGJiIiIlHxKUMTZuFFroARBpUqV6OgZxrVixQp27NiR8yBvL8qhQ7BmTfEFJyIiIlIKKEERR4s0Bk2fPn187Vx7UVSHIiIiInJMSlDEWb8+S4LSpEmTsIVS2uWZoKgORUREROSYlKCIE9CDUqtyZSpWrBjWcEqz3r17+9ozZszIeYB6UERERESOSQmKAJC8ejXeaommmmK4SE444QSaNWsGwIIFCzh48GDWA048EcqXd231oIiIiIhkoQRFAEhaudLXbtq8eRgjiQzeYV4ZGRnMnj0765uxsdC+vWtv2gS7dxdzdCIiIiIllxIUASBpwwZfu0nLlmGMJDIEDvNSHYqIiIhI/sWFOwApATIzWbdzp2+ziWbwKrK+ffty3nnn0adPHwYPHpzzgMA6lIULYcCAYotNREREpCRTgiKwYwd3ZmRwCbCuWzcaDx0a7ohKvaZNmzJ69OhjHxDYg6JCeREREREfJSgC69cTA9QGardvD7VrhzuiyNeuHRgD1mqIl4iIiEgA1aAIBNSf0KhR+OKIJhUqwEknufbSpZCaGt54REREREoIJSgC69f720pQgiojI4MFCxbw/fff53zTW4eSlgbLlhVrXCIiIiIllRIU4eDq1TwCvAf8cfhwuMOJGNZaGjduTOfOnbn22mvJzMzMeoDqUERERERyUIIiJK1cyXPATcDr48eHO5yIYYyhbdu2AOzevZvly5dnPSD7TF4iIiIiogRFYN3Gjb52oxYtwhhJ5DnueijqQRERERHJQQmKsH77dl+7sbdwW4LCu6I8wIwZM7K+Wa8eVK/u2gsXuhm9RERERKKcEpRol5rKuuRk32bjxo3DF0sE6tatG/Hx8UAuCYox/l6UPXtg06Zijk5ERESk5FGCEu22bGFdwKYSlOAqV64c3bp1A2D9+vVsDBhOB2Qd5qU6FBERERElKFFv0yYCJhmmYcOGYQslUgUO88pRh6JCeREREZEslKBEu02bfD0otStWpGzZsuGMJiIFFsrnGOalQnkRERGRLJSgRLmDa9awy9NuXKtWWGOJVL169cIYA+SSoLRqBZ4aFfWgiIiIiChBiXrrA1Ywb6ThXSFRtWpV2rZtS7ly5ahVqxZpaWn+N8uUgdatXXv1ajh4MDxBioiIiJQQSlCi3NEtW+gCVEdTDIfS999/z759+5g0aZJvVi8f7zAva2Hx4uIPTkRERKQEUYIS5TofOsRcYBfw3L/+Fe5wIlajRo0oU6ZM7m+qUF5ERETERwlKtPOuvVG9OjGJieGNJVqpUF5ERETERwlKNEtLg61bXbt+/fDGEkWstdjAVeO1FoqIiIiIjxKUaLZ1q6t7ACUoxWDSpElcdtllNGjQIOtsXtWr+5//4sWQkRGeAEVERERKACUo0WzTJgYC5wCPb9sW7mgi3po1a/j888/ZvHnzsddDOXQI1qwp/uBERERESgglKFHsyNq1TAa+A8Z5h3pJyASuKJ8jQVGhvIiIiAhQyATFGFPGGNPaGNPXGHOqp32MKYqkpNq0dKmv3aB27TBGEh1atmxJ9erVAZg1axYZgUO5VCgvIiIiAhQgQTHGVDbG3GGMmQrsAxYDk4EpnvY+Y8w0zzGVQxGsBNfGlSt97YaNGoUxkuhgjKF3794AJCcns2jRIv+bKpQXERERAfKRoBhjqhhjXga2AG8ANYDPgMeA24A7PO3PcOv9vQFsMca8bIypEqK4JQg2rF/vazfQIo3FwpugQLZhXieeCN5pnpWgiIiISBSLy8cxa4H9wDPAp9baDcc72BjTALgCuBm4Dpe0SAm0MaAwvmHbtmGMJHpkr0O566673EZsLLRrB3PmuLVpdu92s3uJiIiIRJn8DPH6P6CZtfaFvJITAGvtRmvtC0Azz7lSQm3Yu9fXbtCsWRgjiR6dO3emXLlyAMycOVProYiIiIhkk2eCYq39n7U23bttjDkvPxe21qZba98vSnASQunpbDh0yLfZsGHDMAYTPeLj4+nevTsA27ZtY03glMKayUtERESkULN4fWOMmWKM6RT0aArJGNPAGPO1MWa/MeaAMWa0MSbPb9zGmK7GmHeNMcuNMYeNMRuMMaOMMU2KI+6w2raNjZ5mnDHU1ixexeaY0w1rJi8RERGRfNWgZHcJ8ALwhzFmJPCItXZLcMPKP2NMedxsYkeBqwELDAOmGGPaW2sPHef0S4E2wL+BJUA9XMH/XGNMR2vtxuOcW6rZjRvxjterl5hIbGxsWOOJJn/7299IT0+nd+/e9OrVy/9Gu3ZgDFirHhQRERGJWgVOUKy1XxljxgL3Ag8DF3pm+XrZWpsS7ADz4UagKdDCWrsawBizCFiFK9R/7Tjnvmit3Rm4wxjzK5Dkue7jIYm4BMjYsIF7gA1AFRXIF6uuXbvStWvXnG9UqAAnnQSrVsHSpZCaCmW0vJCIiIhEl0It1GitTbXWvogrhP8U1+uw0hjz92AGl09nA3O8yYknviTgV+Cc452YPTnx7FsP7MT1pkSsuK1beQb4CHjjppvCHY54eYd5paXBsmXhjUVEREQkDAozxMvH8wX/ZmPMm7ieihHGmLuAf1hrZxz/7KBpA4zNZf8S4KKCXswY0wqoBRTq26ExZp633bx5c6ZOnVqYyxRZcnIywDHvf+KsWTTwtBfu3s3eMMVZkuX1DEOhYeXKNPW0l33+OdsDZlorjcLxDCORnmPR6RkWnZ5h0ekZFp2eYdGVhmdYqB6UXKwHngdmAF2AqZ6i9cZBuv7xVANy+xa3B6hakAsZY+KA4bgelIiegSxhp7/z6GjNmmGMJHrt2LGDX375hWnTpvn2HTrxRF+7wurVuZ0mIiIiEtFMlnUY8nOCK0rvDHT1vLoBJwLG89oCzAW6A5WAx6y1rwYx5uzxpAKvWmsfzrb/WeBBa22+e4mMMcOB64Gh1toJRY2ta9eudu7cuUW9TKF4s+J+/frl+v6h7t0p99tvLkM9cAAqViyu0EqNvJ5hUezatYuansSwS5cu+P6ebNoEDTx9WwMGwKRJQb93cQrlM4wmeo5Fp2dYdHqGRadnWHR6hkVXUp6hMWaetTaXotzC9aAcAKbhhnSdB2z3tC8GGlhr61trz8UVrv8beNEYE8pi8724XpTsqpJ7z0qujDHPAzcB1wUjOSnpbl68mLJAU2NYs2NHuMOJOjVq1KBFixYALFiwwNfdSr16UM3z13nhQjejl4iIiEgUKUyCMgq4HTeUq5K19lRr7f9Za7+x1m72HmStPWytfQh4HbglKNHmbgmuDiW71sDS/FzAGPMI8BBwt7V2ZBBjK5kyMth4+DBpQJK1VKuWW34noeZdDyUzM5M5c+a4ncb4C+V374bNm49xtoiIiEhkKnCCYq292lo73Fq7wFqbkY9T5gKhXAXwO6C7McZbW4yn9qWX573j8hT1D8Ot5/KfUAVZomzf7lsDpUJsLFWqVAlnNFGrd+/evnaWBRu1oryIiIhEsWAVyR/Pz7gFEUPlPWAdMNYYc44x5mzcrF4bgXe8BxljGhlj0gOHmxljLsX18PwETDbGdA94tQ5hzGGVsX493t/LN6hYEWNMWOOJVoErys+cOdP/RuCK8kpQREREJMrkmaAYY9oX9uLGmA7W2r3W2i8Le428eFaKHwCsBEbihqAlAQOstQcDwwFiyfqZB3v2DwZmZ3v9N1Qxh9v2JUtI87QbVq8e1liiWZMmTahTpw4Ac+bMITU11b0RmKD8+WfxByYiIiISRvnpQVngmTL41Pxe1BjT3xjzLTAvz4ODwFq7wVp7gbW2krW2orX2XGvtumzHrLPWGmvtkwH7rvHsy+3VrzhiD4eNS/2lOQ3rRfR6lCWaMcbXi5KSksL8+fPdG61bQ3y8a6sHRURERKJMfhKUnriFC6caY9YbY941xtxojBlojOlsjOlijDnNGHOLMeYDY8wm4BfczFo9Qxm8FM6GNWt87QaNGoUxEsl1mFeZMtCqlWuvWgWHDoUhMhEREZHwyDNBsdb+Zq09FegP/ApcjqvtmAD8AfyOqzP5L3AhMAXoa63ta639PVSBS+Ft3LTJ127YvHkYI5E8C+WthcWLizcoERERkTDK9yKG1tppwDTPautdgFZATcDiVl5fCszP58xeEkYbA9Y9qd8mtxmapbi0a9eOKlWqUL9+fVq3DpiXIXuhfPfuxR+ciIiISBjkO0HxstamA795XlIKbd63z9eu7x1KJGERGxvLpk2bSExMzPqGCuVFREQkShU4QTHGXAssBJZYa48GPyQJtUczMrgQ2FytGg0aNgx3OFEvR3ICmmpYREREolaBExTgfdywrgxjzErgT1zCshD401q74zjnSrglJ9M+JYX24Aqxy5cPd0SSmxo1oF49t5L8okWQmQkxxbFskYiIiEh4FeYbT0fc8K44oC4wFHgRGA9sNcZsNcZ8a4y5zhhTLmiRSnBs3uxv160bvjgkV/v27cNa6za8vSiHDkHAzGsiIiIikawwCcr5QH2gk7W2mrW2qmf7UeAgcARoD/wPWFGQ9VOkGGzZ4m9rDZQSY/jw4XTq1Ilq1aqxatUqt9M7kxdomJeIiIhEjcIkKDcDr1trfd+YrLVbrLXPA72BROACoDuwHxhnjGkZjGCl6HatWMEvwDLgUI0a4Q5HPHbs2MGff/6JtZZp06a5nSqUFxERkShUmASlIpCa2xvW2sW4GpWnPGug9MH1qvyz0BFKUM2aM4dBQGvg+T/+CHc44tG3b19f25egqAdFREREolBhEpQ/gOuNMfHHeH8tcCqAtXYf8CEwsFDRSdBt3rDB167XpEkYI5FAp5xyCgkJCYBLUKy1cOKJ/kkMlKCIiIhIlChMgvI00A4YbYypncv7p5O1h2UNoLFEJcTmbdt87fotWoQxEglUtmxZTjnlFAA2bdpEUlISxMZCu3bugI0bYc+eMEYoIiIiUjwKnKBYa6cAVwB9gSRjzFhjzJPGmMeMMb/giuh/CDilPrA3KNFKkW3avdvXrte2bRgjkew0zEtERESkcD0oWGu/ANoAH+CK4R8HngL6AZ8B9wIYY2KAS4G/ghCrBMHm5GRfu37z5mGMRLILTFCmTp3qGlqwUURERKJMYRZqBMBauxG4HbjdGFMfKA+sz7a6fKznmANFilKCw1o2HzkCQDxQQ7N4lSg9evQgPj6etLS03HtQNJOXRBNrYfduWLsWkpPdekCZmVClins1bAjVqoU7ShERCYFCJyiBrLWbjrE/DZgUjHtIEOzahXeZxrplyxKjlclLlPLly9OtWzdmzZrF+vXrWb9+PY3atQNj3Jc19aBIJEtLg9mzYfJkmDIFFi+GvXmMDq5VC9q0gT59YOBAOOUU8Ew2ISIipZe+oUaR5FWrfF1Z9StWDGsskrvAYV5z5syBChXcbF4AS5ZAaq4zfIuUXgsWwD33uIVj+/aFp56C6dPzTk4AduxwyczTT7tza9WCa6+FCRMgIyPkoYuISGgEpQdFSofNf/lLgepVrx7GSORYLrvsMlq0aEHfvn1p3Lix29mxI6xe7X7DvHw5tG8fzhBFis5al1gMG+Z+5qZWLWjZEk46yQ3lSkx0vYn797uhX6tXw9KlsG+f/5wDB2DECPdq3BjuvBOuvx4qVw79ZxIRkaBRghJFtq5c6WvXq53bDNESbu3ataOdd2phrw4d4OuvXXvhQiUoUrotXAh33eV6SQLFxcHQoXDWWTBgADRp4hKS47EWkpJg0iSYOBF+/BEOH3bvrVsH990HTzwB995L7Mknk1GhQkg+koiIBJcSlCjSv1IlkoHNQLlLLgl3OJJfgTN5/fkn/P3vYQtFpND274fHHoO33nLF7l6NG7shXldcAQWduMMYaNrUvW680RXSf/cdvPeev2fm4EF45hm6V6zI+iuvhJ49oUyZYH0qEREJAdWgRJPNm6kAtAAaBn7plZJNa6FIaffrry7R/s9//MlJ48ZuKNbKlXD33QVPTnKTmAiXXeYK7RcuhKuvdgueAvHJyZz09tsujkmau0VEpCRTghJNtmzxt+vWDV8cclypqan88ssvPPbYY7z22mtQvz5UrereXLjQDWsRKQ0yMlzR+6mnwvr1bl9CAjz5pKsfufpqiI8Pzb3bt3cJ0NKlcOml/v3Ll8Npp7l756cQX0REip0SlGgSmKDUqRO+OOS4UlJSOOOMMxg2bBjvvvuuG8bi7UXZtSvrn6NISZWcDOee65IRb6/JKafAX3+5upBy5YonjubN4bPPmP/WWyQ3a+bf//HH0LYtjB9fPHGIiEi+KUGJIq+uXMkrwBcVK2oMdglWuXJlOnXqBMCKFSvYtm1bzjoUkZJs3TpX6/HDD27bGHjkEZgxw83KFQYHWrdm3ttvuxoYb7H8li0wZAjcf7+bJU9EREoEJSjRIi2Nlw8e5AHgzpSUcEcjeQhcD2X69OlaUV5Kj7/+gh493E+AihXd7FrDhoVuOFd+xcbCbbe5RSD79/fvf/VVt47Kxo3hi01ERHyUoESJtE2b2OFp1ytfPqyxSN769evna0+dOjVrgrJgQXGHI5I/8+a5L/rbtrntpk1hzhw488zwxpVd48bwyy/w8su+Inpmz4ZOneCnn8IamoiIKEGJGlsXLcJbWl1fi5aVeH369CEmxv3znDRpErRu7R+WpwRFSqI5c9z6JXv2uO2OHd2X/tatwxrWMcXEuKFd06a5VezBLQA5ZIjrUdFkFCIiYaMEJUpsWrrU165Xq1YYI5H8qFKlCl26dAFg5cqVbNq+HbwLOK5d69aUECkpFi1yvSQHDrjt7t3dVL+l4b81vXq5pP+MM9y2tS5xuflm1aWIiISJEpQosXn1al+7nve3hVKiDRgwwNeeMmWKG37ipToUKSlWr4bTT4d9+9x2794wYYJ/auzSoGZNGDcOHnrIv++991zSpamIRUSKnRKUKLHZuwYBUL9JkzBGIvk1cOBAX3vy5MlZExQN85KSYPt2GDTI/QTo3NnN3FWxYnjjKoyYGHj+efjgA38x/6RJbjYyFc+LiBQrJShRYtPWrb52vcC1AKTE6tWrF/GeL0qTJ0/GBhbKz58fnqBEvFJS3Don69a57ZYtXYF5aa9xu/ZamDgRqlVz28uXu2Fgy5eHNy4RkSgSF+4ApHhs3r3b167Xtm0YI5H8Kl++PGeddRaxsbEMGDCAjDZtiDPGjZFXD4qEk7Vw3XWuMB6gdm34+Wc3VCoS9O3rPtsZZ0BSkutB6dPHLerYtWu4oxMRiXhKUKLE5uRkX7t++/ZhjEQKYvTo0Vl3tGjhfpO7bJn7DXZxrcYtEmjYMPj8c9cuWxa++w4aNgxvTMHWrBnMnOnqa5YsgV273Nop332XdQ0VEREJOg3xihL10tJoAlSPiaFSlSrhDkcKq3Nn9zMjw78Qnkhx+vlneOIJ//bIkdCtW/jiCaW6dWH6dDcrGcDBg24a4okTwxuXiEiEU4ISDQ4f5rO0NNYCO7t2xRgT7oiksFQoL+G0YQNccYV/jZDHH4cLLwxvTKFWrZpb1PH00932kSNw9tlKUkREQkgJSjTYssXXNJpiuFRKT09nzpw5bA0cRqMERYpTaipcfLFbzBDcF/bHHw9vTMUlMdEN7RoyxG0rSRERCSklKNEgIEGhbt3wxSGF8tVXX1GtWjV69OjBV2vW+N9QgiLF6dFH4bffXLtBAxg1CmJjwxtTcUpIgNGjlaSIiBQDJSjRIDBBUQ9KqdOkSROSPZMcTP7tN38x8qJFkJ4exsgkakyeDK+84tpxcfDll1CjRnhjCgclKSIixUIJShT4avx4BgJXAbMPHQp3OFJAnTp1orJnbYmpU6eS3qGDeyMlBVasCGNkEhX27IGrrvLXnTz1lL9oPBodK0mZOjWsYYmIRBIlKFFg6erVTAZGAltVIF/qxMbG0q9fPwD279/Pgtq1/W9qmJeE2q23wubNrt2nDzz4YHjjKQlyS1L+9jf444/wxiUiEiGUoESBrTt2+Np1mjcPYyRSWAMGDPC1Jx896n9DCYqE0rffuuFcAJUquSmFo6nu5Hi8ScqgQW774EEYPNitmSIiIkWiBCUKbNm3z9eu26ZN+AKRQhs4cKCvPXndOv8bSlAkVPbtg9tv92+//jo0ahSuaEqmhASXxPXo4bb37HEJy9q14Y1LRKSUU4ISBbYePOhr127VKoyRSGG1bt2aWrVqATDjjz9IrV7dvbFggb82QCSYHngAtm517UGD4JprwhpOiZWYCOPGgbc2bOtWOO00/7A4EREpMCUoUWCrZ0hQtZgYEsqVC3M0UhjGGN8wr5SUFOY0aeLe2LcP1q8PX2ASmSZPhv/9z7XLl4d33gHVrx1blSowYQJ4h9AmJbmkzrtmjIiIFIgSlAiXefgw2z2/Ya9TpkyYo5GiyFKHEvhnqWFeEkyHD8ONN/q3n30WvAmxHFutWm664QYN3PayZXDWWe55iohIgShBiXC7li7Fu1JGnQoVwhqLFI03QalYsSJpnuFegBIUCa4nn/TXUJxyCtx5Z1jDKVUaNoRJk6BmTbc9Zw5cconWKxIRKSAlKBFu69KlvnadqlXDGIkUVdOmTZk9eza7d+/m2Rde8L8xf374gpLIsnQp/Otfrh0f74Z5adaugmnWzNWkJCa67R9+gFtuUa2YiEgBKEGJcFtXrfK163h/qyelkjGG7t27Ex8f774Eeb8AqQdFgsFauPtu/2/7778f2rYNb0ylVdeu8M03EBfntt9/H554IrwxiYiUIkpQIlzdjAxuB84HurRuHe5wJFhiYvyzBm3ZAgFr3YgUytix8Msvrl2vHvzzn+GNp7Q74wz44AP/9jPPwNtvhy8eEZFSRAlKhGsfG8ubwDfAxX/7W7jDkSDK6NjRv6FeFCmKI0fgH//wb7/8Mqhmrej+/nd46SX/9u23u8UdRUTkuJSgRDrvOgYAdeqELw4Jmh9++IGLL76YmiNG4FsOTgmKFMWrr7qpcQF694ZLLw1vPJHk/vvhnntc21q4/HKYMSOsIYmIlHRKUCJdYIJSu3b44pCg+eOPP/jqq6/Ye/gwE707VSgvhbVxIzz3nGsbA//+t9Y8CSZjXAJ4ySVu++hROPts+Ouv8MYlIlKCKUGJcBlbtvg3TjghfIFI0Jx++um+9gTvF8m5c8MUjZR6Dz3kX6vjppugU6diu3VmZiabN29m4cKFTJ8+nfRs0/GuXr2aTz/9lB9++IFZs2axfPlyduzYgS1tM2LFxMBHH4F3LaN9+2DwYJcciohIDnHhDkBCq9nixRwAmsfFMUsLNUaEk08+mUqVKnHgwAEmxcSQnpFBXFIS7NkD1aqFOzwpTebPh08/de0qVWDYsJDcJjMzk9WrV/P7778zd+5cVq5cydq1a0lKSiI1NdV33NatW6kd0NM7depUbgxcNNKjbNmyNGrUiMaNG9OkSRPatGnDtddeS6J3ZruSKCEBvv0WTj0VFi6EzZtdkjJzJmgKeBGRLJSgRDCbns6WjAyOArtj1FkWKeLj4xkwYABjxoxhf0YGfwA9AObNg0GDwhydlCoPPeRv//OfUKNG0G8xduxYrr76avbv35/nsfv27cuSoByrp+TIkSOsWLGCFStWABAbG5sjkVm2bBmHDx+mQ4cOxMWVkP/VVaoE48dDjx6wfr1bd+acc2DCBChbNtzRiYiUGCXkv9oSCke3bOGop12nJP9mUQrs9NNPZ8yYMQBMQAmKFMLEie4FUL8+3HFHkS5nreXPP/+kfv361AxYc6lNmza5Jifx8fE0adKEJk2aULt2bapUqUKFbDOHnXLKKbz00kvs37+fvXv3smfPHnbu3MmGDRtYv369r/elRYsWJCQkZDn39ddf59133yUxMZHu3bvTtGlTTj75ZPr27YsJZ41NnTrw88/Qs6fr9ZwxA668Er74Qotiioh4KEGJYAe8s/IAdSpXDmMkEmxZ6lCAJ0B1KJJ/mZlZe0+efhrKlSvUpbZt28bIkSP5+OOP+euvv3jppZd44IEHfO+fdNJJ9OjRgypVqtCtWze6detG+/btqVevHrF5fCFv37497du3P8ZHyGTbtm2sWrWKlJSUHO/PnDkTgEOHDjFp0iQmTZrEe++9x2OPPcbgwYM588wzOf3006lSpUqhPneRtGjhVpgfMMBN8fzNN26mL01QICICKEGJaPsCCjDrhGDohoTPiSeeSNOmTVm7di2/AfuAKvPmhTkqKTW+/NI/81ubNnDVVQW+xOLFi3nttdcYNWoUaWlpvv0fffQR999/f5ZeilmzZhU55OxiYmKoW7cudevWzfGetZYbbriBGTNm8Ouvv7IjYCHTbdu2MWLECEaMGEF8fDxPPvkk/wzHopQ9erhek/POcwnjm2+6nqwHHyz+WEREShgVJkSwvQEzeOX2P3Ep3by9KBnAFIB162D37jBGJKVCaio88oh/+/nnCzS0aNq0aQwePJj27dszYsSILMlJ165dufnmm8nIyAhmxAVmjOHee+9l9OjRbNu2jaVLl3LbbbfRtWtXygRMFpKWlkaTJk2ynJuZmcm+ffuKJ9Czz866uvxDD8HIkcVzbxGREkwJSgTbu3Onr12nYcMwRiKhEDjMa5K3oV4Uycu778JazxKfvXvDWWfl67Tly5dz5pln0q9fP37++Wff/ooVK3LPPffw119/8ccff3DnnXeWnKJ0XLLSqlUrLrroIl5++WX27NnDDz/8wC233EKjRo0YOnRoluNnzJjBCSecwIUXXsjYsWOzzDIWEjfdBI8/7t++7jpXNC8iEsWUoESw3Xv2+Np1TjwxjJFIKAwYMID77ruPyQ88wGvenUpQ5HhSUvyLMgK8+GK+ax5SU1OzJCb169fn5ZdfZuPGjfzrX/+iTZs2wY42JBITExk6dChvv/02SUlJVKpUKcv7I0eOJDU1lW+++YZzzz2XOnXqcNtttzFr1qzQrb/y5JNw/fWunZ4OF1ygxVdFJKopQYlguw4c8LXrtGwZxkgkFCpXrswrr7xC/yuuwDdoRYXycjzvvQdbt7r20KFuJql8at++PVdeeSV169bl3XffZe3atdx///1ULsUTcOQ2m1eNGjWoFrCe0J49e3j77bfp1asXrVq14pVXXmFnQO90kAKB4cNhyBC3ffAgnHmmv6dLRCTKKEGJYNu9q0MDddq1C2MkElKtW/vXUFAPihxLSoqrN/F64oljHjpr1ixuuukmMjMzs+x/7bXXWLVqFTfeeCPx8fGhijSsXnjhBbZu3cqYMWO44IILstSsrFixggceeIB69erxXGBPVDDExbnJC04+2W3v2OEWcgx2MiQiUgooQYlgT5Yty3vAsDJlqKwi+cgVHw8dOrj2+vWwa1d445GS6d13Yds21z7rLOjWLcchhw8f5o477qBXr1689957jBgxIsv7NWrUoHz58sUQbHiVKVOGc845h6+//prt27fz7rvv0qNHD9/7aWlpNGvWLPg3Tkx00w97r71qlfuzOnQo+PcSKYnS093f9717Yft22LgR1qyBpCTYtAm2bycuOZnYlBQI82QcElolp5JRgstaTktOdhloo0aaWz+Cbdu2jZ8SExkPvAtUnjcPzjgj3GFJSZKSAi+84N/OpfdkwYIFXHHFFSxbtsy375NPPuHaa68N78KGYValShVuvPFGbrzxRpYsWcL777/P+PHjOfvss7McN23aNF588UVuuukmhg4dWvgeppo14aef3DTEO3bA77/DJZfAmDGul0WktMnMdENLN2zI+tqyxS1Wunev+7lnT76S8d6BGxUrQuXK/lf16lC7tlsQtU4d165XD5o0ce9F8X/LShv91y5CxR08SIx3+s86dcIbjITU008/zduTJwNwMXDB3LlKUCSrd97x95787W/QtavvrYyMDF599VUeffRR35TBCQkJPPPMM9xzzz1RnZxk16ZNG1577TVeffXVHM/l3XffZfz48YwfP57atWtz3XXXccMNN+SYxjhfmjaFceOgXz9Xj/Ljj3DLLa6GSH8eUlJZ66a7X7QIli51ryVLYPly90uSUEhOdq9Nm/I+tmJF92/rxBPdz6ZN3aKpbdpArVr6t1XCKEGJUGUC18NQghLRhgwZwtuetRTGAReoDkUCpaS42bq8AnpPdu/ezRVXXJFldq527doxatQo2qlu7ZiyJyfp6enMnj3bt71t2zaee+45nnvuOQYNGsRNN93E2WefnaWeJU9durgV5ocOdcNe3n/fLeT45JNB+hQiRbR3r+vh++039/r998INMY6JgSpVoFo197NcOShTxv+Kj3e9MGlpkJbG3h07MOnpVImLg/373WvfPvfv5HiSk2HhQvfKrnp1l6h4X23bQseOrldGwkIJSoQ6tGEDfwB1gBNq1SIyy1kFoH///iQkJHD06FHGAZl//KHiMvEL7D05+2z3xRc3pOv8889n3bp1vkPvvfdennvuOcp6J12QfImLi2PlypWMGzeO9957j3HjxvkmGJg4cSITJ06kZs2aXHvttdx66600btw4fxc+/XSXmFx9tdt+6imoW9etnSJS3A4dghkzYNIk9/rzT9drkpfGjV1PRaNG0LCh/1WvHtSoAZUquSQlnxZOnQpAv379/DuthcOH3WLFW7e617Zt7ufGja6GZc0a19OSW8y7d8P06e4V6KSToHNn9+rSxf0MmOVPQkcJSoSaN38+D3jaz61axcNhjUZCKTEx0bd43jbgz02b6Lxjh+uyluh29Ci88op/29N7Yq3lnnvu8SUn1apV49NPP+UMDQ0stLi4OM4++2zOPvtsNm3axAcffMD//vc/Nm7cCMDOnTt56aWX6N69e/4TFICrrnJj9R/2/Ff81lvdv+1zzw36ZxDJYflyGDvWDTmcPdv1YhxLpUpuFrrOnf09ES1buskfQs0Yd5/ERJf8HMvRo24ymTVr3GvZMjcMbcmS3Ht/Vq92ry+/9O9r3NgNk+3e3dWKde7sn0lTgkYJSoTas2OHr12nQYMwRiLFYciQIb5hOuOAzvPmuXUUJLp98gls3uzagwe7/5HihiiNHDmSLl260KBBA0aPHl2wL81yXPXr1+fxxx/nkUce4eeff+a9997j+++/p2bNmpx11llZjvVOStCqVatjX/DBB91vft96yw11ueQSN9vXoEGh/BgSjTIzYc4cl5SMHQsrVhz72Nat4dRT4ZRT3KtFiwL1hIRFQgI0b+5e2e3Y4U9WFi50i6UuXpwzKVu3zr2+/tptx8e7/7b26OF/6XtXkSlBiVB7AmpQ6hSmSFNKlSFDhnD33XcDLkF5VAmKZGTASy/5tx/O2o/asGFDJk2aRLNmzShXrlwxBxcdYmNjGTJkCEOGDGHLli2sXLkyx+xeTzzxBF999RW9e/fmpptu4sILL8z552EMvPGGWxPlyy8hNdX1oEyYAL16Fd8HkshkrRuuNWoUfP65/5ca2TVsCAMHuteAAZFX31qrlnv17+/fd/SoS1jmzXMJy7x5bhKAo0f9x6Sl+etwXn/d7atXz5+s9OwJnTq55EjyTQlKhNq1f7+vXSe33xRIRDnppJNo3rgxK9etYw6w69dfqRHuoCS8vv0WVq4EYFe3bjzz9de8ePLJWepL2rdvH67ook7dunWpm209qp07dzJmzBgAZs6cycyZM7nrrrv4+9//znXXXUeHDh38BfmxsTBypKsD+PFHN95+yBCYMsXXMyZSIElJLikZNcoN5cpN9+5wzjnu1bJl9M10lZDgr0HxSktzScrs2f5XUlLW8zZvdj0s3l6WhAS39lTPnv5XzZrF9zlKoRLeFyeFtTNgLvG6mo0nKgzxrMtggZ9//z28wUh4WetbNX4t0GPTJv79n/9w7bXX5lgdXsKnTJkyDBs2jJNOOsm3b9++ffznP/+hU6dOtG/fnpdeeonN3t9olykDX33lph8GOHDATSkesHaNyHEdPep64QYNctPsPvZY1uQkJsZNzvDOO672afZseOghaNUq+pKTY4mPdwXzd9zhkru1a10x/rffwv/9H/Tp42YiC3T0KMyc6Xq1zz3X9dQ0bw7XXOOmD1+yxA2vE5+ISFCMMQ2MMV8bY/YbYw4YY0YbY45TJZXl3LLGmJeNMVuNMSnGmNnGmFNDHXOo7ThyBIB4oHrA//wkcg0JGNv+3Z49bhVeiU4TJ8L8+SwFesfFsXrrVgAmTZrEhg0bwhub+FSuXJn/+7//Y8WKFUyePJlLL700y1TEf/31Fw8++CANGjRgnnf68HLl4LvvXDEyuMLe007L+RtckUDLl8N997mpqi+5BH75Jev73bvDv//tkpKff3YzxUXaEK5Qql3bJR4vvuhmAtu/H+bOdc/00ktzr0lZtQo++sg967Zt3VTHQ4bAsGGuZzQfi1ZGslI/xMsYUx6YDBwFrsb9AnkYMMUY095am9ef8PvAUOAB3C8bbwd+Nsb0sNb+GbLAQ2ybZz7w2rGxmJJetCZB0bdvXzrXrMmAnTu5ANxY2SFDwh2WhMPzzzMfOAPY5flvQbNmzfjpp59UDF8CxcTE0L9/f/r378+uXbsYNWoUI0eO9CUldevWpWPHjv4TKlZk4//+R83LLqPskiXuS+XAgW4K2Hr1wvMhpOTJzISffnJ1ERMn5ny/YUO47jq48kq3eGEBHT16lO3bt3P48GFSUlKy/Dxy5Ajp6emkpaWRnp7OxRdfTMWKFX3nLliwgB9++IH0gLVLvMMZA3/GxMTw6KOPZrnvokWLWL58OYsXLyY+Pp64uDji4+NzvCpXrkzv3lnWnWfr1q2kpqZStmxZypUrR9myZYmPjw/+grTeXpYuXeDOO92+jRtdj9Svv8KsWbBggasV9Nq3D8aPdy9wwzo7dvQPCevVK6qK70t9ggLcCDQFWlhrVwMYYxYBq4CbgdeOdaIxpgNwOXCdtfZDz75pwBLgaeDs0IYeGim7d7PP066jqe+iRpkyZZj3yiv+NROUoESnOXP4depUhgAHPLvat2/PhAkTOOGEE8IZmeRDjRo1uPvuu7n77rtZtmwZI0eOpHr16sTGxmY57ob772f2+vWcXbEiFyYnc0ZSEuVOOw0mT9ZvvqPdwYMwYgT85z++OjSfuDhXT3LjjXDaaRw+epTvv/+efb/8wv79+32vAwcOZNnev38/H3/8cZYv/L/99ht9+/bNV0j9+/fPkqDMnz+fxx9/PM/z4uLiciQoc+bM4bPPPsvz3NatW7NkyZIs+26//Xa+/fbbLPtiYmIoW7ZslqRlyJAh/Pvf/85y3H333ceuXbt8x3lf2bfbt2+fY6HbVatWueMGDKDc0KGUK1eOmJQU+OMPl6x4k5Z9+/wnZWS4/4/Pm+f+LMH1gHmTlZ49oUMHlwxFoEhIUM4G5niTEwBrbZIx5lfgHI6ToHjOTQO+CDg33RjzOfCQMSbBWnv0mGeXUNv++svXrlupUhgjkWLnWYQPcN3LEnWmPfggQ4DDnu2TTz6Z8ePHU02Li5U6rVq14rnnnsuxf/fu3UyaNImMjAxGAaOACsBZy5dzfteunD55MpVbtCjucCWM9u3bx5a5c9n6zjts/eEHthw5wg5gF7AT2FWmDLsqVODBhx/mpvvv95136NAhLr300nzdY1e2dUIKMvtfWrapeuPiCv/1Mz2vFeM9ss+YB3DEM/w9UGZmJocPH+bw4cO+fTsClmrwGjNmDGvXrs3zvo899liWBCU9PZ3muUxWVKZMmayJTp06vPbCCwyOjfUlLJtWruRRoJz3tWkTZb/8knJffum2y5Sh3IknUq51a/pfcgmV+/d3i1/i/mz3799P2bJlKVOmDGXKlAlNb1GIREKC0gYYm8v+JcBF+Tg3yVp7ONv+JUAZ4CRPO9+MMfO87ebNmzPVs+JpcVo71v84KiUkhCWGSJCcnAxQup5fRgZ9ypYl9sgRjs6cyewpU8Ja2Fgqn2EJlN/nuGLKFO6bPt2XnHRs354nnniCRYsWhTbAUiCS/i5u27aNfv36MWvWLFJSUgA4CHwOfL5lC3EtW9KuTRtO6dOHQYMGBS05jaRnGC4FfYZpaWns3LmTHTt2sGPHDnbv3k3t2rXpHzAVbvn16znrppvYmZp67AulpsKePcxctIjmAffOyMjAGIM9zorwxhjKly/Pn3/+SZUqVXz7t23bRq9evUhISCAhIcH3Rdj7My4ujpiYGGJjY1mxYgVbPbVwAGXLluWZZ54hJibG94U5MAZv2xiT41n17NmTBg0aEB8fT3p6uu+VkZGRpV21atUc59apU4fevXuTmprK0aNHSU1NzfWVnJyc49wDBw6QH1u3bs1ybmDiE8h7r/0Bs67+sWMHZfv0cSvYX301a+bN46OAhDKXi7hJMpYt469vvqEycKRWLQ42a8bImBj+MWNGjlO8Q+KuuuqqfH2ecImEBKUasDeX/XuAqkU41/t+qdOlYkU2AVuAA506hTscKU6xsSS3aEHqwoV8v2cP5RcsoI6mII0KmZmZvPnvf+Mtuutdpw6PvvQSCZp7P+LUrl2bRx99lNTUVP744w+mTZvGrJkzOeRJVtKBBUuWsGDJErp165YlQbHWlprfoEabmTNnsmTJErZv386OHTvYvn07u3fvzpE89OzZ0w2ZWr6chp9+So2ZM6lvLTvzuH758uVzXCs2NpZbb72VMmXKkJiYSGJiIhUqVMjSLleuHDG51LLWrl2bYcOGFeqznnDCCYUecnriiSdy4oknZhkyll9///vfC3VPgDfeeIMjR474khtvguNte7ezD+8C6NevX67HZr9W9v9eHw6YNCMv3v6ssjt2UHbHDo71dLxJXEmfNcwcL2suDYwxqcCr1tqHs+1/FnjQWnvMJMwYMxGoYK3tkW3/IGACcKq1Nmf6mU9du3a1c8MxzGbRIta98goJu3dT56673DSUUmDe34D0807pWUp8dc45XPLdd1jgn+efz7PffBO2WErrMyxp8vUc9+1jc716DDh8mHrG8MOaNZTXIq0+kf538ejRo/wyciQ/3HMPPx46xEagQVwc65OSMPXr+4579tlnGT16NP3796dfv3706dOHypUr5+sekf4Mgy0jI4MtW7awYcMGNmzYwPr165k9ezbbt2+nWrVqjBs3LsvxV199NR9//HGe1+3SvDlzGzbMMhPXQ8C6uDjqdupEnTPOoG7LlpxwwgnUrFmTGjVqUKNGjYj5ZUU0/T08dOgQq1evJiUlhSNHjpCSkpL1dfgwKVu2kLJqFfdWq0alv/6ChQshJYXxwFtAKm4WqdRs7cdjY7myc2eYM8dNLx0Gxph51tquub0XCT0oe8m9p6MqufeOBNoD5DYdcdWA90uf9u1Zd911ANSJgn/AklX3M8/EfvcdAGOnT+fZMMcjxeS996h3+DDTgQp//7uSkyiTkJDA0BtuYOiAAdi+fflr0ya2pKdj+vVzX2Q9s7dNmjSJ+fPnM3/+fF599VViYmLo2LEjJ598Mt26dePkk0+mVatWOYryJaeUlBTKlCmT5VmNGzeOF198kfXr17Np0yYyAmdpChAfH09mZmaWnolGjRplOaZatWo0bNiQRo0a0bBBAxocPky9adNosnJl1uL3mjV54d574bbbIJ/JppQOiYmJdOjQoWAnpafDihWcuWABZ86fD/PnuxnDsg9Ry8hwEyqU0JleIyFBWYKrJcmuNbA0H+eeZ4wpn60OpTUuwVyd+2kiJVeDIUPoAswDluzaxZo1azixEFNISsm3detWatasSZy1br594ARwi4VJdGraFDNtGu3696fdhg2wZo2b8WfCBGzr1lnGu4MbGuhNWIYPHw64L0UPPfRQjtmToom1ln379rF+/fosL29PyPr169mxYwfLli2jZcuWvvMOHjzI9OnT87x+ZmYmO3fuzDLM6fLLL6dnz540bNiQBg0auCFM1roE8/HH3W+6AzVsCA884KYKLl8+aJ9dSrm4OGjTxr2uvNLty8x0ayXNnw+LFrFryhQSk5IoV9DkpxhFQoLyHfCKMaaptXYtgDGmMdAL1+uZ17lP4YrpP/KcGwdcAkwojTN4idCgAedUqMC8gwcBGPvtt/zjeEV2Uipt27aN3r1706FDBz495xzKbtrk3jjjDPc/JoleTZvCtGluAcc1a9w6KX36YH78kXnz5rFt2zamTZvGlClTmDp1KitWrMhy+qFDh6iUbQbIQ4cOcdVVV9GoUSN69OhB06ZNfa+GDRtmWWCypEtJSWHLli2+V/v27WnVqpXv/fXr19OmTRsO5WOhvPXr12dJULy9IImJiTRu3JiGDRv6e0EaNmTPnj3UqlWLCy64IMdMVi1btsxyLaZMcYnJzJlZb9qiBTz8MFx+ecROMStBFhPj1ro58US46CL+8g6TO7XkrkseCQnKe8AdwFhjzKO4hRqfATYC73gPMsY0AtYAT1trnwaw1v5pjPkCeN0YEw8kAbcCTYArivVTiASLMZzbtSuPe/4DNOazz5SgRJh9+/YxePBg1q5dy9q1a7ljxgz+533zvvvCGZqUFI0buy+2gwe7Mel797qEZfRoap9xBpdccgmXXHIJAHv37mXu3Ln8/vvv/P777/z222+c7F2p3mPZsmVs3LiRjRs3MjPbF+aYmBgaNGhAw4YNOeGEE3j99depF7Bg5N69e9m2bRsVKlSgYsWKVKhQoUjTzILrgTh48CDJyckkJyeTkJBAk2zDGp955hnWrVvHzp072bVrF7t27WLnzp3sC1xrAnjppZeyJCg1atTIMzmpWbMmjRo1ylE83qlTJ3bv3k3VqlVznYzAWz9x3M8/Y4ZLTLLP9NW8OTz5JFx8sVvET6SoSujwLoiABMVae8gYMwD4FzASMMAk4B5r7cGAQw0QC2T/07gWeBa3+nwVYCEw2Fo7P8Shi4RM24EDaTJ1KknArwsWsGvXLmp45kaX0u3IkSOcc845LFy4EIC6NWrwqHd9grZt3ZdQEYDatd2X3L/9zSUrhw+79siR4ElOAKpWrcqgQYMYNGgQQK5Tzm7cuJG4uLhc16DIzMz0DXsCN9tRoC+//JJbbrkly75y5cpRoUIFypcvT2xsLLGxsdSpU4dp06ZlOe6+++5j7NixpKWl+VYlT0lJ4eDBg1mOO/fcc3MswDdq1KgcvUO52bJlS5btxMREOnbsSKVKlWjUqJGv98PbbtCgAeWPMaSqTJkyhZ/WefZsl5gEFL8D7rfeTzwBl13mhu+IRIGI+Jturd0AXJDHMetwSUr2/SnAPzwvkYhgunfnHOB1INNavvvuO67zTJwgpVdmZibXXnutb4x71apV+bldOxpPmeIO+Mc/wrrujZRAVarAzz+7hOSHHyAtzX3R3bTpmH9fcvvN/3nnncf48ePZsmULNWrUICkpydeD5315k4aaNWtmOXf79u05ruedhShQbutF7NixgzVr1uT5Mb3riwSqUaNGlgSlfPny1KhRgzp16lC3bl3fq2fPnjnOXbBgQZ73DJo//nAJyPjxWfc3buwSlr//XYmJRB39jReJRF27cj4uQQH46quvlKBEgMcee4zPP/8ccLM2/fD227S97DL35gknuDHpItmVLw+jR8P117veE2vh/vthxQp466181zHExcXRsGHDXKd3tdaSnJzMjh07cqzg3bx5cy6//HKSk5OzDMs6ePAgKSkpZGRkkJGRQWJiYo7rJiYmUrFiReLj432vsmXLUrFixSyv3GY6evPNN7HWUqNGDapXr37MXo+wWbDAJSbff591f4MG8OijcM01UIpqe0SCSQmKSCSqUoVezZtTZ+VKtgK//PILu3fvpnr16uGOTApp3LhxvPzyy77tkSNH0nP6dPdlE+D22yFC1jmQEIiPhxEjoF49eOEFt++992DtWvjqK6ia17rGx2eMoVKlSjmK6wEuvfRSLr300kJdd/jw4b7ZxQqqY8eOhTov1BLXrnWz7mUbkkbduvDIIy6R1L9liXIltzpGRIokpnt3LgKaAQ9efjmZJXzVWDm2efPm8dprr/m2X3zxRS464wz3hRPcl5lbbw1PcFJ6xMTA88/DBx/4e00mTYIePWD58vDGFg2WLqX1U0/R7frrsyYntWvDG2+4Gdduu03JiQhKUEQi18kn8yKwAhjWvn2OceFSOmRmZvLf//7Xt+DbTTfdxAMPPAAffeQW2QI3tEuTIEh+XXstTJjg7zVZsQK6dYNvvglvXJFq5Uq3HkXbttQKnJmrZk145RWXmNx1F5QtG7YQRUoaJSgikerkkymLZ2aI338PczBSWDExMbz00ks0b96cM844g7feegtjLbz5pv+gO+4IX4BSOvXr5xb+a9HCbR88CBde6Bb5zGWmLimEtWtdMtiqFYwa5RuOmVapkhtml5TkpgUvabUxIiWAEhSRSNWhg7/AUglKqVa9enVef/11vvzyS7d+wsSJ7reyAD17QufO4Q1QSqfmzd1/Gy4ImATz5Zdh0CA3y5cUzvr1cOONLvkbMcKt4g1QpQprr7+eOZ9+Cg8+CLlMCiAijhIUkUhVpgx06uTa69axeeFCvtEQjlLBWptjLYpy5cr5C5ADe0/uvLMYI5OIU6mSK5J/6SX/om1Tp0L79hryVVBJSXDLLdCsGfzvf/6eqEqV3GxdSUlsuPJKMpSYiORJCYpIJPOsBn0Z0KBTJy655BJ27twZ3pgkT8OHD+eSSy7JfTXrtWvhxx9du04dOP/84g1OIo8x8MADrmeudm23b+9eN+Trhhv8tU6Su2XL4KqrXGLyzjturRlwPST//KdLXJ580q1JIyL5ogRFJJKdcgoAdXC/lc/IyMix2rKULNOmTeOuu+7iq6++olevXjlWzOa///VPLXzzzVonQYJnwABYtAjOPtu/7/33XW/KxInhi6ukWrDAJXFt2rj1ZTwTWVC+vEv4kpLg2WehsCvLi0QxJSgikczTg3JxwK4vv/wyPLFIntavX8+FF15IumdoyKmnnkqFChX8Bxw65L4wgpsm9uabwxClRLSaNWHMGBg+HMqVc/uSkuD002n53HPE798f1vDCzlqYMgWGDHG1X9984/+FQaVKbh2TdevckDnNnChSaEpQRCLZSSdB9eqcAjQwBoApU6awY8eO8MYlORw6dIhzzz2XXbt2AdC/f39effXVrAeNGgX79rn2hRf6h+OIBJMxLvmdP9+tkeJRe+JETr7qKreOire3IFqkprpeks6dXU/T+PH+92rUcD0lGzbAsGFKTESCQAmKSCQzBnr0wAAXeX7Ll5mZyVdffRXeuCQLay3XX389f/75JwCNGjXiyy+/JN67mJ47SMXxUrxatoSZM93fu4oVAYg/cMCtdN6li1vkMdLt2uUWt2zc2NWZeP6NAm7l99decz0m//wnVK4cpiBFIo8SFJFI17MnAFcE7Bo5cmR4YpFcvfjii3zxxRcAlC9fnrFjx1Ij28KLlRcuhMWL3UaXLtC9e3GHKdEoJgZuvx2WLmVXr17+/QsXwmmnwVlnubqVSGKtm8nsssugXj2XfGzd6n+/Qwe3UOratXDvvZouWCQElKCIRDrPEI1OQCvPb/h+++03Vq1aFcagxGvSpEk88sgjvu0RI0bQoUOHHMfVGzPGv3HHHa53TKS41K/PX8OGsfCll6BdO//+H390X9j/9je38GNptnOn6xFp1Qr694fPP3dDu7yGDnW9RgsWuN6UhITwxSoS4ZSgiES6bt0gNhYDXBkX59s9atSo8MUkAGzatInLLruMTM9Cbg8//DAXXXRRjuPK7NpFzRkz3Eb16nDppcUZpojP3m7d3Bf0//0vaw3UDz+4X4YMGABjx5ae1eiTk11tyZlnumm777sPVqzwv1+lCtx1l5tK+Icf3OfTLwdEQk4JikikS0yEjh0BuGL3bt/uTz75JMdigFK8rLU0adIEgIEDB/LMM8/kelyd8eMx3tWor7sOypYtrhBFcoqNdXUoq1bBK69kTVSmTIFzz4VGjeCxx1x9Rklz4AB8/TVccgnUquV6Q376KWvhf48ebhX4zZvhjTdcPY6IFBslKCLRwDPMqxFwaps2tGrViuuvv57UwOELUuwaNGjA9OnTefjhh/n000+JjY3NeVBGBnV++MG/fdNNxRegyPFUqOB6HJKS4O23XSG515YtbkarJk3cf39eesklNOGQmQlLlsC//gUDB7peyIsugi+/hCNH/MfVqQP33ONqambNgquvdmuaiEixi8v7EBEp9Xr29M0ANfb006n86qsYDVMoERISEnjuueeOfcD48ZT1Tgt9+ulu6miRkqRsWbjlFrfq/I8/wnvvwbhx/vVB5sxxrwcfhNatoW9f6NPHverXD348yckuyfjjD5g+3b0Ceo+zqFLFTdl9+eVw6qmud0hEwk4Jikg0CFjLoMr8+RpDHUYbNmygRo0alM/vb2bfftvfvuWW0AQlEgxxcXDOOe61YYNbL+Xzz7PWdCxd6l7ev9f167ukpVUr92ra1A27qlXLrS8SONU2uKTn0CHYvx/27oWNG90wsnXrYPVqN7vYmjXHj7N+fTf72FlnuZnIVOwuUuIoQRGJBo0aueELW7e63yqmpeX8H7+E3KFDhxgyZAhxcXF8/fXXnJRXb8i6db4F4Y7WqEHCWWeFPkiRYGjYEJ580r2WLYPRo+Hbb93ij4G1b5s2udeECblfp0wZN9VxbKz7efhwwReJrFgRevVyPTdnngnt2+uXNCIlnBIUkWjgWbCR0aPd/+AXLYIuXVizZg1Tp07l+uuvD3eEEc9ay80338ySJUsAuOKKK5gzZ87xh9q9957vy9zWIUNorKRSSqNWreCRR9xr71749VeYMcO9Fi1yPSLHUtA6ufh4aNvWTQzSoYNLTDp2dL07IlJq6F+sSLTo2dMlKACzZ3PVG28wcuRIjDEMHDiQxoEFrhJ0w4cP903tXL58eT744IPjJyepqfD++wDYmBi2Dh1K42KIUySkqlb1D68CV8C+aZPrZVm2zM2atWOHW5Nkxw5XxJ6R4Y7LyHBF65Ur+1/167se4saN3eukk1yvi4iUakpQRKKFZ0V5AGbNokmzZoD7zf6IESN48sknwxNXFPj999+5++67fdvvvvsubdq0Of5JY8fC9u0A7O7enaO1aoUyRJHwiIlxw8EaNoQzzgh3NCJSQmiaYZFo0bmz/zeLs2dzzTXX+N768MMPySjouG7Jl927d3PRRReRlpYGwG233cYVV1yR94nDh/uaW84+O1ThiYiIlDhKUESiRUICdOni2uvW0aRsWQYOHAi4maUmTZoUxuAiU2ZmJldeeSUbNmwA4OSTT+a1117L+8QVK2DyZNdu3Jg9XbuGMEoREZGSRQmKSDQJmG6Y2bOzFMe/8847YQgosg0bNoyffvoJgGrVqvHll1+SkJ8pTd9919++6SatzSAiIlFFCYpINAmsQ/n1V84//3xq1KgBwNixY9m0aVOYAos806dP99X1GGMYNWoUjRo1yvvElBQYMcK14+PhuutCFqOIiEhJpARFJJr06uVvz5hBQkICN9xwAwAZGRm89957YQos8nTr1o3rPMnF448/zuDBg/N34ldfwZ49rn3++XDCCSGKUEREpGRSgiISTWrXBs/sXcyfDwcPcvPNN/umu3333Xd9xdxSNOXKleN///sfP/74I4899lj+TwwojtfK8SIiEo2UoIhEm1NPdT8zMmD2bBo3bszQoUMB2LZtG99++20Yg4s8Q4YMITa/NSQLF8Ls2a7dooVb+VpERCTKKEERiTZ9+vjb06cDburbVq1a8Z///IcztBZBoY0fP55169YV/gKBExXccgscbyFHERGRCKWFGkWijbcHBWDGDAAGDx7M4MGDj7+yuRzXX3/9xYUXXkhCQgKjRo3izDPPLNgFkpNh5EjXLlsWrroq+EGKiIiUAupBEYk2jRtDvXquPWcOHD2KMUbJSREcOHCACy64gMOHD7N3714+/fTTgl/ks8/g4EHXvuQSqFYtuEGKiIiUEkpQRKKNMf5elKNHYe7c8MZTyllrufbaa1m5ciUAbdq0YXhgoXv+LqLieBEREQ8lKCLRKHCYl6cOxWvNmjXceeedDBs2rJiDKp1effVVRo8eDUDFihUZPXo0iYmJBbvIH3/AggWu3aEDnHJKkKMUEREpPVSDIhKNshfKP/wwALt376Z169akpqZStWpV7r333oJ/2Y4i06ZN46GHHvJtjxgxgubNmxf8Qtl7TzTcTkREoph6UESiUatWUL26a//6q5tyGKhevTrnn38+AHv37uXDDz8MV4Ql3pYtW7jkkkvI8Dy7+++/3/fsCmTvXvj8c9euUAGuuCKIUYqIiJQ+SlBEolFMDPTu7drJyW79DY9//OMfvvbLL79MampqcUdX4qWlpXHxxRezfft2AE499VSef/75wl3s448hJcW1r7wSKlYMUpQiIiKlkxIUkWiVy3TDAN26dWPgwIEAbNiwgZHeqW/F56uvvuLXX38FoE6dOnzxxRfExRVixKyK40VERHJQgiISrY5TKP/YY4/52s899xzp6enFFVWpcNlll/Hf//6X8uXL8+WXX1K7du3CXWj6dFi+3LW7d3cF8iIiIlFOCYpItOrY0dU8gOtBsdb3Vt++fenjKaRfu3Ytn332WRgCLLmMMdx6662sX7+e3t6hcoWh3hMREZEclKCIRKu4OOjZ07V37oQVK7K8HdiL8uyzz/qKwcWvRo0ahT95xw745hvXrlIFLr44KDGJiIiUdkpQRKJZ4HTD06Zleeu0007jFM96HCtWrCjc6ugRIi0tjfPOO48JEyYE76Iffghpaa59zTVQrlzwri0iIlKKKUERiWZ9+/rbU6ZkecsYw1NPPQVAtWrVoroH5Z577mHMmDGceeaZvPPOO0W/YGYmBF7n5puLfk0REZEIoYUaRaLZKadA+fJw+DBMnuy+OMf4f29x+umn884773DJJZdQuXLlMAYaPu+++y7//e9/AYiJiaF169ZFv+iECZCU5Nr9+kHLlkW/poiISIRQD4pINCtTxj/Ma+dO+OuvLG8bY7jpppuiNjmZOXMmd9xxh2/7zTff9E0eUCSBxfG33lr064mIiEQQJSgi0c6z5gkAkyaFL44SZs2aNZx33nmkeepEbrnlFm4OxlCsTZvg++9du1YtOPfcol9TREQkgihBEYl2gQnK5MnHPXT37t3ccccdrFu3LrQxhdmePXsYOnQou3btAtxK8W+88UZwLv6//7mhdADXX+96sURERMRHNSgi0a5jR6haFfbudTN5pae7KYizmTlzJueccw579uxhy5YtjB49uvhjLQZHjx7lvPPOY4Vn2uVmzZoxevRoygQjkUhPh/fec21j4Kabin5NERGRCKMeFJFoFxMD/fu7dnIy/PFHroe1adOGGE8B/bfffsvPP/9cXBEWG2stN954I9OnTwegevXqjBs3jurVqwfnBt9/D1u2uPaZZ0LjxsG5roiISARRgiIi+apDqVq1Ki+88IJv+8477+To0aOhjqxYGWPo378/cXFxJCQkMHbsWE466aTg3UArx4uIiORJCYqI5LsO5dprr+Xkk08GYNWqVVkSlkhx7bXX8vPPP/PJJ5/Qq1ev4F14zRo3vTBAgwYwZEjwri0iIhJBlKCICDRvDvXqufasWZCSkuthMTExvPXWW76hXsOGDePPP/8spiCLz4ABA7jwwguDe9F33/W3b7wRYmODe30REZEIoQRFRFzB9oABrn30KPz66zEP7dq1K/fddx8A6enpXHPNNaSmphZHlCHx/fff89lnn4X2JkePwgcfuHZsLNxwQ2jvJyIiUoopQRERpwDroTz99NO09Kx+vnDhQp599tlQRhYyU6ZM4aKLLuKKK67g7bffDt2NvvkGPFMWc+65UKdO6O4lIiJSyilBERGnAOuhlC1blhEjRviGej377LMsXrw4lNEF3aRJkxg6dChHjx7FWsukSZOw1obmZiqOFxERyTclKCLi1K/valEA5s6FffuOe/gpp5zCgw8+SFxcHC+//DJt27YNfYxBMmHCBM466yxSPLU2p59+OqNGjcIYE/ybLVkCM2a49kkn+YfSiYiISK6UoIiIn/fLc2YmTJ2a5+FPPfUUv//+O/fee29ovtyHwPjx4zn77LM5cuQIAIMHD2bs2LEkJCSE5obvvONv33KLW3dGREREjkn/pxQRv0GD/G3vlLjHER8fT6dOnUIYUHB9++23nHvuub71W4YOHcqYMWMoW7ZsaG546BB89JFrJyTA1VeH5j4iIiIRRAmKiPgNHOif/nb8eChETcb48eN5N3BK3RLirbfe4oILLvDNOHbOOecwevTo0PWcAHz+ORw44NoXXQQ1aoTuXiIiIhEiLtwBiEgJUrky9OzpaibWrYNVq/x1Kfnw/vvvc/PNN2Ot5YQTTqBy5cqhi7UANm3axAMPPOArgr/44ov55JNPiI+PD+2NVRwvIiJSYOpBEZGsBg/2t3/6qUCn/vXXX2RkZJCZmcmll17K77//HuTgCqd+/fp88cUXxMTEcM899/DZZ5+FPjmZO9e9ANq1c4mfiIiI5EkJiohkVYQE5dVXX/WtwH7kyBEeffRRZs6cGczoCu1vf/sbf/75J//617980yOH1Ftv+ds33+wWwxQREZE8KUERkaw6doSaNV17yhTwTMWbHzExMYwcOZKzzjoLgLS0NJ544glGjhwZgkBzZ61l+PDh3HrrrTnea9euXfEEsXMneFenr1gRrrqqeO4rIiISAZSgiEhWMTFwxhmufeQITJ9eoNPLli3LN998w0UXXQRAZmYmV111FXfffTdpaWnBjjaLzZs3c84553DrrbcyfPhwPv/885De75jefx88M4VxzTUuSREREZF8UYIiIjkVYZgXQJkyZfj0008ZHHCdf//73wwYMIANGzYEI8Is0tPT+de//kXLli35/vvvffvDUgOTng5vv+3fvu224o9BRESkFFOCIiI5nX66v2Zi/PhCXSIuLo7/+7//48477yQuzk0Y+OeffxLrncY4CDIyMvj0009p27Yt//jHPzh48CAA1apV4+uvv+a1114L2r3y7YcfwJuEDRoELVsWfwwiIiKlmBIUEcmpZk3o2tW1V6yANWsKdRljDOeffz5Tpkyhbt26DBs2jHr16mU5Jj09vcDX3bdvH//5z39o27YtV1xxBStWrPC9d+2117J8+XIuuOCCQsVcZG++6W/fcUd4YhARESnFlKCISO48he4ABAybKozevXuzdOlSbr/99iz7d+zYQf369bn88sv57LPP2Lx5s2+tkkDZ923cuJG77rqL5cuX+/adcsopTJ8+nQ8++ICa3iL/4rZ0KUya5NqNG8PQoeGJQ0REpBRTgiIiufvb3/ztIiYoAJUrV/YN9fJ688032b59O5999hmXX3459evXp2LFirRv356uXbvSrVs3mjZtyqWXXprlvHbt2tGtWzfAJSbjxo1j9uzZ9OnTp8hxFkng1MK33QZBHM4mIiISLbSSvIjkrmNHqF8fNm1yM3nt3+9Wmg+iAwcOkJiYyKFDh3z7Dh06xOLFi7Mcl9uK9K+99hqJiYl06tQpqDEV2v798NFHrl22LFx3XXjjERERKaXUgyIiuTPGP8wrPb1Qs3nl5fXXX2f37t389NNP3H333Zx22mk0atQIE7CoYfny5SlXrlyOc3v37l1ykhOAjz8Gb6J1+eVQvXp44xERESmlSn2CYoyJMcY8bIxZZ4w5YoxZaIzJszrWGFPJGPO4MWaWMWa3MWafp31uMYQtUjoEeZhXbhISEjjjjDN4/fXXmThxIuvWrSMzM5PMzEwyMjI4ePAgs2bNCsm9gyYzM2txfLZaGxEREcm/Up+gAM8ATwJvAmcCc4CvjDFD8jivIXAbMA24ErgEWAl8a4zRtwsRgAEDoHx51x43zvWkFBNjDDExMVl6U0qsX36BlStdu2dP6Nw5vPGIiIiUYqU6QTHG1ALuB16w1r5irZ1irb0ZmAK8kMfpSUBTa+3D1trx1tqfrbXXAJOBB0MauEhpUbasWxMFYO9eKOk9GeHyxhv+tqYWFhERKZJSnaAAZwBlgE+y7f8EaGeMaXKsE621h6y1h3N5ay5QN3ghipRygcO8xo4NXxwl1bJlrncJoG5dCNf6KyIiIhGitCcobYCjwOps+5d4frYuxDVPBZbneZRItDjrLIjx/Kfim28gl3VKolpg78mdd0KZMuGLRUREJAKY3BZFKy2MMe8CZ1tra2fbfxKwCrjKWjuyANe7CXgHuNJaO6qQMc3ztps3b975nXfeKcxliiw5ORmAihUrhuX+kUDP0K/jPfdQZeFCAOYOH87BFi3ydV6kP8P4/fvpfsklxB49SkbZssz+4gvSK1UK+n0i/TkWBz3DotMzLDo9w6LTMyy6kvIM+/fvP89a2zW390pUD4ox5jRjjM3Ha6r3FCC3DKvAVbXGmH7Av4GRhU1ORCLVzr59fe2a06eHMZKSpc733xN79CgA204/PSTJiYiISLQpUT0oxpjyuNm18nLYWrvBGPMicDdQzgZ8EGPMycBvwFnW2h/zcd9uwCRgJnCOtTatUB8gm65du9q5c+cG41IFNnXqVAD69esXlvtHAj3DAJs3u0UbAZo1gxUr3DopeYjoZ5iaCo0bw9atbnvFCmjePCS3iujnWEz0DItOz7Do9AyLTs+w6ErKMzTGHLMHpUStJO8pWi9I/ccSIAE4kax1KN7ak6V5XcAY0w74GfgTuCBYyYlIRKlXD3r0gNmzYdUq+OsvaNcu3FGF1xdf+JOTs84KWXIiIiISbUrUEK9C+AlIBa7Itv9K4C9rbdLxTjbGNAMmAmtxvS0pIYlSJBJceKG//c034YujJLAW/vUv//a994YvFhERkQhTqhMUa+0O4F/Aw8aYfxhj+hlj3gYGAP8MPNYYM8kYszpguxYuOSkDPAG0NsZ0D3glFN8nESkFzj/f3472BGXaNFiwwLU7dID+/cMbj4iISAQpUUO8CukR4CCuFqU2sAK42Fr7fbbjYsn6eVsDjTztH3K5bhNgXVAjFSnNGjeGLl1g3jw3xGvZMmjVKtxRhceLL/rb996br3ocERERyZ9S3YMCYK3NsNYOs9Y2stYmWGvbW2u/zuW4ftbaxgHbU6215jivdcX5OURKhYsv9rc//TR8cYTTn3/CTz+5dv36cNllYQ1HREQk0pT6BEVEitGll/rbn34anYs2Bvae/OMfWphRREQkyJSgiEj+NWwIp57q2mvXwu+/hzee4rZmDXz5pWtXrQo33hjeeERERCKQEhQRKZjLL/e3R0XZmqavvAKZma59551QoUJ44xEREYlASlBEpGAuvBDi4137iy8gPf3/27v7YLvnO4Hj70+ShkhUiGbN1kpYTRexOqUZfULVeqbVLRViTcamQ2u61sY0jVCVelhRD9GlimKGYrFKh2qtlMnYxhCKtR1aD2lTokQkRiSk+e4f33N7b+7Duefec879/e4579fMmfP9/c7ve87nfuZz597P+T0VG89QWbECrr8+j8eMyQ2KJElqOBsUSQMzYQIcfHAe/+lP8OCDxcYzVC6/HNavz+NZs2DbbYuNR5KkFmWDImngju9yb9SbbioujqGyejVceWUejxqVT46XJElNYYMiaeCOOAK23DKP77wz/wPfyhYuhDVr8vi442DSpOrbS5KkQbNBkTRwW2zRecnhd9+FW28tNp5mWr0aLrkkjyNgzpxi45EkqcXZoEganJNO6hxfe21xcTTb5ZfDW2/l8fTpsMsuhYYjSVKrs0GRNDjTpsHUqXn8+OPw1FPFxtMMb73VufdkxAg4++xCw5EkqR3YoEganIhN96Jcd11xsTTLZZd1nl9z3HHw0Y8WGo4kSe3ABkXS4M2Y0XlPlJtugnXrio2nkVatgksvzeMRI+Css4qNR5KkNmGDImnwtt0Wjjoqj1etgjvuKDaeRrr00s4rd82YAVOmFBuPJEltwgZFUn2++tXO8cKFkFJxsTTKypX55HiAkSPdeyJJ0hCyQZFUn/33h113zePHHoNHHy02nkY4//zOvScnnAA771xsPJIktREbFEn1iYBvfKNzeeHC4mJphJdfhu9/P49Hj4Zvf7vQcCRJajc2KJLqN2MGjB+fx7ffDn/8Y6Hh1GXePHjvvTw+9VSYPLnQcCRJajc2KJLqN3YszJqVxxs2wA9+UGw8g/XEE3DzzXm81VYwd26x8UiS1IZsUCQ1xte/ni/HC3DVVfDOO8XGM1ApwRlndC5/61swYUJx8UiS1KZsUCQ1xqRJ8KUv5fHKlfDDHxYbz0DddRcsWpTH22+/6Xk1kiRpyNigSGqcM8/sHC9YwIiOcznK7t134fTTO5cvvhjGjCkuHkmS2pgNiqTG+djH4PDD8/jVV9nuZz8rNJyaLVgAy5bl8T77wDHHFBuPJEltzAZFUmN12Yuywy23EBs2FBhMDZYtgwsvzOMRI/JlkiOKjUmSpDZmgyKpsfbeGw44AIDNX3uN7X7+84IDqiIl+NrX8iFeACefDHvsUWxMkiS1ORsUSY03b95fhpNvuKG8V/S67Ta47748njgR5s8vNh5JkmSDIqkJ9t0XDj4YgM3eeAMuvbTggHqxcuWmV+q6/HLYZpvi4pEkSYANiqRmWbCA1HFflAsvhBUrio2nu9mz4fXX8/iww+ArXyk2HkmSBNigSGqWqVN59ZBD8vidd+CccwoNZxN33QU33JDH48bBlVd6YrwkSSVhgyKpaV6eOZM/b755XrjmGli6tNiAAF55BWbN6ly+6CLYYYfi4pEkSZuwQZHUNO9NmMDvjz02L2zcCCedBO+/X1xAGzfCzJn5/BPIh3adfHJx8UiSpB5sUCQ11e+nT4dddskLTz2V79JelO99D37xizyeOBF+9CMP7ZIkqWRsUCQ1VRo9Gq69trMR+M534Lnnhj6QBx6AOXM6l6+/PjcpkiSpVGxQJDXfpz4Fp56ax+vXw/HHw7p1Q/f5L74Ixx6bD/ECOOMMOPTQoft8SZJUMxsUSUPj/PNh8uQ8XroUTjttaD539Wr44hfhzTfz8oEHwgUXDM1nS5KkAbNBkTQ0xo2D22+H0aPz8tVXw403Nvcz166FI46AZ57JyzvtBLfcAiNHNvdzJUnSoNmgSBo6e+0FV1zRuXzyyfDII835rPfeg6OPhsWL8/LWW8M993i3eEmSSs4GRdLQmjULTjwxj9ety+eCPP54Yz9j7Vo45hi47768PHZsHu+2W2M/R5IkNZwNiqShFQFXXQX77ZeX16zJ54U8/XRj3v+NN+Dzn4e7787Lo0fDT34Ce+/dmPeXJElNZYMiaeiNGZMPt/rkJ/PyqlWwzz7w4IP1ve+TT+Yrhi1Zkpe32CI3JwccUN/7SpKkIWODIqkYW26ZD7v6+Mfz8urVeU/K/PmwYcPA3mvDBjjvPJg2DX7727xu4kR4+GE45JDGxi1JkprKBkVSccaPh0WLcmMC+T4lZ5+dm5b774eUqs/fuBF++lPYc0+YN6+zsZk6FX71q3xSviRJGlZsUCQVa6ut4N57Ye7czrvNP/NM3vOx++55z8jixbBiBbz9Nixfnu8Kf+aZMGUKHHlk5/krETB7Njz2WL6ksCRJGnZGFR2AJDFqVG5EDj0UTjml874lzz6b94zUYo89YOHCfC6LJEkattyDIqk8Pv3pfKL7j39c++FZn/1svgHkE0/YnEiS1ALcgyKpXEaOhOnT8+P55/PhXE8+CX/4Q75vyrhxMGlSbmAOPBC2377oiCVJUgPZoEgqrylT8kOSJLUND/GSJEmSVBo2KJIkSZJKwwZFkiRJUmnYoEiSJEkqDRsUSZIkSaVhgyJJkiSpNGxQJEmSJJWGDYokSZKk0rBBkSRJklQaNiiSJEmSSsMGRZIkSVJp2KBIkiRJKg0bFEmSJEmlYYMiSZIkqTRsUCRJkiSVhg2KJEmSpNKwQZEkSZJUGjYokiRJkkrDBkWSJElSaURKqegYWlZEvA4sK+jjd6k8/6agz28F5rB+5rAxzGP9zGH9zGH9zGH9zGH9ypLDSSmlD/X2gg1Ki4qIpQAppT2LjmW4Mof1M4eNYR7rZw7rZw7rZw7rZw7rNxxy6CFekiRJkkrDBkWSJElSaXiIlyRJkqTScA+KJEmSpNKwQZEkSZJUGjYokiRJkkrDBkWSJElSadigSJIkSSoNGxRJkiRJpWGDIkmSJKk0bFAkSZIklYYNiiRJkqTSsEGRJEmSVBo2KMNMRPxNRNwREasjYk1E/FdE7FDj3M0jYkFEvBoR70bEryJin2bHXEZ15jH18fhYk8MulYjYPiKuqNTR2koOJtc411qk7hy2fR1GxJcj4s6IWFapo+ci4oKI2LKGudYgdeew7WuwQ0QcFBGLImJFRKyPiOUR8Z8RsWsNc61F6s6htdiLiLi/kofv1rBtqerQBmUYiYgtgEXA3wEnAicAHwF+GRFja3iL64BZwNnA4cCrwM/b7Re4AXkEuAH4ZLfH8w0Pttx2Bo4BVgGLBzjXWszqySFYh7OBPwNzgYOBq4BTgAcior+/b9ZgVk8OwRrssA2wFDgVOBD4FrAbsCQiJvUz11rM6skhWIubiIjpwB4DmFKuOkwp+RgmD+BfyH9Idu6ybkdgA3B6P3P3ABIws8u6UcBzwD1F/2zDJY+VbRPw3aJ/jqIfwIgu43+u5GVyDfOsxTpzWNm+7esQ+FAv6/6pkpv9q8yzBuvMYWW7tq/BfvLz0UqO/q3KNtZinTmsbGctbpqP8cAKYHotuSljHboHZXg5EliSUvpdx4qU0kvAI8AXapj7PnBbl7kbgFuBgyJis8aHW1r15FEVKaWNg5xqLVbUkUMBKaXXe1n9WOX5w1WmWoMVdeRQ/VtZeX6/yjbWYnW15FA9XQQ8m1K6pcbtS1eHNijDy27A//ay/lmgv2M0dwNeSimt7WXuaPKhJu2injx2OKVyjOzayjGzn21ceC3PWmwc67CnfSvPv6myjTVYXS057GANdhERIyNidER8BLia/C32rVWmWIvdDCKHHaxFICI+Q94L+rUBTCtdHdqgDC/bkI9V7+5NYOs65na83i7qySPATeRf/AOArwITgEURsV+D4mt11mJjWIfdRMSHgXOB/04pPV5lU2uwDwPIIViDvXkUWE8+9+HvyYfJ/anK9tZiTwPNIViLAETEB8hN3cUppecGMLV0dThqqD9QdUu9rIsa5kUdc1vRoHORUjqhy+LiiLibvEfmu8BnGhBbq7MWG8A63FREjAPuJp9LNrO/zbEGexhgDq3B3p0AfBDYiXwBggci4jMppZf72N5a7GmgObQWO30TGAOcN8B5patD96AML6vovYvdmt47367erDK34/V2UU8ee0gpvQ3cC3yizrjahbXYBO1chxGxOXAP+R+ag1JKy/uZYg12M4gc9tDONdghpfSblNKjlWP/Pw+MA+ZUmWItdjOIHPb2Hm1Xi5FvlXAmcBawWUSMj4jxlZc7lkf2Mb10dWiDMrw8Sz5OsLtdgf+rYe6OlUvsdp/7HvC7nlNaVj157Etf3z6oJ2uxedquDiuHNNwJTAMOTSk9U8M0a7CLQeawz7ejzWqwLymlt8i1VO34fWuxihpz2Jd2q8WdgM3Jh7ut6vKAvCdqFbB7H3NLV4c2KMPLPcDeEbFTx4rIN3X7dOW1/uZ+ADi6y9xRwFeAX6SU1jc82vKqJ489RMQHgcPIx82qf9ZiE7RjHVbu03Ez+VvWL6SUltQ41RqsqCOHvb1X29VgNRHxV+T7bb1QZTNrsYoac9jbvHasxV8Dn+vlAblp+Rx9Nxqlq0PPQRleriHfwOjuiJhH/mZgPvAH8klRAFRuaPQCcG5K6VyAlNKvI+I24LLKt2UvkW/GtSNw/JD+FMUbdB4jYjb5uuy/BF4BJpG/mdiO9ssjEfHlynDPyvMhEfE68HpK6WFrsX+DyaF1+Bf/Qf6Deh7wTkTs3eW15Sml5dZgvwaVQ2twUxFxF/AE8DSwBpgC/Cv5fJ7vVbaxFqsYbA6txayyt+mh7usjAmBZSumhyvLwqMMibr7iY/APYAfyrvg1wNvAT+h2YzdgMvmf7nO6rR8DXEK+ZN868jcL+xX9Mw2nPAJHkO+X8gb5muEryd88TCv6Zyooj6mPx0N95bCy3lqsI4fW4V/y8HKV/J1jDTYvh9Zgjzx+k3wX9LeAteQb3F3d9e+KtdicHFqL/eZ1kxs1Dpc6jEpQkiRJklQ4z0GRJEmSVBo2KJIkSZJKwwZFkiRJUmnYoEiSJEkqDRsUSZIkSaVhgyJJkiSpNGxQJEmSJJWGDYokSZKk0rBBkSS1nIi4MSL+HBHjennt6IhIEfGPRcQmSarOBkWS1IqWkP/GfbzryojYDPh3YHFK6c4iApMkVWeDIklqRY9Wnvfqtv40YDJw+lAGI0mqnQ2KJKkVPQ28S5cGJSImAnOBm1JKjxcVmCSpOhsUSVLLSSltAJYCn+iyej4witykSJJKygZFktSqlgB/GxHjI2J34CTg4pTS8oLjkiRVYYMiSWpVjwIB7AlcArwGXFRoRJKkfo0qOgBJkppkSeX5bGAfYGZK6Z0C45Ek1SBSSkXHIElSU0TEH4G/Bp4E9kopbSw4JElSPzzES5LUyjqu1nW6zYkkDQ/uQZEktaSIGAu8CPxPSumoouORJNXGPSiSpFZ1FrAVMLvoQCRJtfMkeUlSy4iIbYCDyFfuOh2Yk1J6odioJEkDYYMiSWol/wD8mHxJ4fnAgmLDkSQNlOegSJIkSSoNz0GRJEmSVBo2KJIkSZJKwwZFkiRJUmnYoEiSJEkqDRsUSZIkSaVhgyJJkiSpNGxQJEmSJJWGDYokSZKk0vh/F3S1KIj4+y8AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 921.6x633.6 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from numpy import exp, sin  # avoid np. prefix in g(y) and h(y)\n",
    "\n",
    "def g(y):\n",
    "    return exp(-y)*sin(4*y)\n",
    "\n",
    "def h(y):\n",
    "    return exp(-(3./2)*y)*sin(4*y)\n",
    "\n",
    "y = np.linspace(0, 4, 501)\n",
    "plt.figure()\n",
    "plt.plot(y, g(y), 'r-', y, h(y), 'k--')\n",
    "plt.xlabel('$y$'); plt.ylabel('$g(y)$')\n",
    "plt.title('Damped sine wave')\n",
    "plt.legend(['g', 'h'])\n",
    "plt.grid()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 3D Plotting\n",
    "In order to plot 3D figures use matplotlib, we need to import the mplot3d toolkit, which adds the simple 3D plotting capabilities to matplotlib."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "from mpl_toolkits import mplot3d\n",
    "import matplotlib.pyplot as plt\n",
    "plt.style.use('seaborn-poster')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Once we imported the mplot3d toolkit, we could create 3D axes and add data to the axes. Let’s first create a 3D axes."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "#The ax = plt.axes(projection=’3d’) created a 3D axes object, and to add data to it, we could use plot3D function. \n",
    "# And we could change the title, set the x,y,z labels for the plot as well.\n",
    "\n",
    "fig = plt.figure(figsize = (10,10))\n",
    "ax = plt.axes(projection='3d')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "TRY IT! Consider the parameterized data set t is a vector from 0 to 10π with a step π/50, x = sin(t), and y = cos(t). Make a three-dimensional plot of the (x,y,t) data set using plot3. Turn the grid on, make the axis equal, and put axis labels and a title. Let’s also activate the interactive plot using **%matplotlib notebook**, so that you can move and rotate the figure as well."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plt.figure(figsize = (10,10))\n",
    "ax = plt.axes(projection='3d')\n",
    "ax.grid()\n",
    "t = np.arange(0, 10*np.pi, np.pi/50)\n",
    "x = np.sin(t)\n",
    "y = np.cos(t)\n",
    "\n",
    "ax.plot3D(x, y, t)\n",
    "ax.set_title('3D Parametric Plot')\n",
    "\n",
    "# Set axes label\n",
    "ax.set_xlabel('x', labelpad=20)\n",
    "ax.set_ylabel('y', labelpad=20)\n",
    "ax.set_zlabel('t', labelpad=20)\n",
    "\n",
    "plt.show()\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Try to rotate the above figure, and get a 3D view of the plot. You may notice that we also set the labelpad=20 to the 3-axis labels, which will make the label not overlap with the tick texts."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We could also plot 3D scatter plot using scatter function.\n",
    "\n",
    "TRY IT! Make a 3D scatter plot with randomly generate 50 data points for x, y, and z. Set the point color as red, and size of the point as 50."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "# We can turn off the interactive plot using %matplotlib inline\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x720 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = np.random.random(50)\n",
    "y = np.random.random(50)\n",
    "z = np.random.random(50)\n",
    "\n",
    "fig = plt.figure(figsize = (10,10))\n",
    "ax = plt.axes(projection='3d')\n",
    "ax.grid()\n",
    "\n",
    "ax.scatter(x, y, z, c = 'r', s = 50)\n",
    "ax.set_title('3D Scatter Plot')\n",
    "\n",
    "# Set axes label\n",
    "ax.set_xlabel('x', labelpad=20)\n",
    "ax.set_ylabel('y', labelpad=20)\n",
    "ax.set_zlabel('z', labelpad=20)\n",
    "\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "You can go on and on. When you need to set relationship b/w some functions or varibales,\n",
    "all you need to do \n",
    "1-Decide which tool is useful and enough\n",
    "2-Learn how to arrange this tool to your issue\n",
    "3-Try\n",
    "4-Error\n",
    "5-Try again\n",
    "6-Error\n",
    ".\n",
    ".\n",
    ".\n",
    ".\n",
    "850000 - Try\n",
    "850001 - Congragulations. :))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### INTERACTIVE DATA VISUALIZATION\n",
    "- #### Bokeh Library"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "#!pip install bokeh   "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Import necessery libraries for BOKEH\n",
    "\n",
    "from bokeh.io import output_notebook, show\n",
    "from bokeh.plotting import figure \n",
    "\n",
    "import numpy as np\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "* there is a good algorithm to carry out this applications.\n",
    "\n",
    "1. Prepare the data\n",
    "2. Rendering visualization (set the output mode)\n",
    "3. Assamble the figure\n",
    "4. Organize the layout"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "##### Bokeh prides itself on being a library for interactive data visualization.\n",
    "\n",
    "Unlike popular counterparts in the Python visualization space, like Matplotlib and Seaborn, Bokeh renders its graphics using HTML and JavaScript. This makes it a great candidate for building web-based dashboards and applications. However, it’s an equally powerful tool for exploring and understanding your data or creating beautiful custom charts for a project or report.\n",
    "\n",
    "Using a number of examples on a real-world dataset, the goal of this tutorial is to get you up and running with Bokeh.\n",
    "\n",
    "You’ll learn how to:\n",
    "\n",
    "* Transform your data into visualizations, using Bokeh\n",
    "* Customize and organize your visualizations\n",
    "* Add interactivity to your visualizations"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "    <div class=\"bk-root\">\n",
       "        <a href=\"https://bokeh.org\" target=\"_blank\" class=\"bk-logo bk-logo-small bk-logo-notebook\"></a>\n",
       "        <span id=\"1001\">Loading BokehJS ...</span>\n",
       "    </div>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "\n",
       "(function(root) {\n",
       "  function now() {\n",
       "    return new Date();\n",
       "  }\n",
       "\n",
       "  var force = true;\n",
       "\n",
       "  if (typeof root._bokeh_onload_callbacks === \"undefined\" || force === true) {\n",
       "    root._bokeh_onload_callbacks = [];\n",
       "    root._bokeh_is_loading = undefined;\n",
       "  }\n",
       "\n",
       "  var JS_MIME_TYPE = 'application/javascript';\n",
       "  var HTML_MIME_TYPE = 'text/html';\n",
       "  var EXEC_MIME_TYPE = 'application/vnd.bokehjs_exec.v0+json';\n",
       "  var CLASS_NAME = 'output_bokeh rendered_html';\n",
       "\n",
       "  /**\n",
       "   * Render data to the DOM node\n",
       "   */\n",
       "  function render(props, node) {\n",
       "    var script = document.createElement(\"script\");\n",
       "    node.appendChild(script);\n",
       "  }\n",
       "\n",
       "  /**\n",
       "   * Handle when an output is cleared or removed\n",
       "   */\n",
       "  function handleClearOutput(event, handle) {\n",
       "    var cell = handle.cell;\n",
       "\n",
       "    var id = cell.output_area._bokeh_element_id;\n",
       "    var server_id = cell.output_area._bokeh_server_id;\n",
       "    // Clean up Bokeh references\n",
       "    if (id != null && id in Bokeh.index) {\n",
       "      Bokeh.index[id].model.document.clear();\n",
       "      delete Bokeh.index[id];\n",
       "    }\n",
       "\n",
       "    if (server_id !== undefined) {\n",
       "      // Clean up Bokeh references\n",
       "      var cmd = \"from bokeh.io.state import curstate; print(curstate().uuid_to_server['\" + server_id + \"'].get_sessions()[0].document.roots[0]._id)\";\n",
       "      cell.notebook.kernel.execute(cmd, {\n",
       "        iopub: {\n",
       "          output: function(msg) {\n",
       "            var id = msg.content.text.trim();\n",
       "            if (id in Bokeh.index) {\n",
       "              Bokeh.index[id].model.document.clear();\n",
       "              delete Bokeh.index[id];\n",
       "            }\n",
       "          }\n",
       "        }\n",
       "      });\n",
       "      // Destroy server and session\n",
       "      var cmd = \"import bokeh.io.notebook as ion; ion.destroy_server('\" + server_id + \"')\";\n",
       "      cell.notebook.kernel.execute(cmd);\n",
       "    }\n",
       "  }\n",
       "\n",
       "  /**\n",
       "   * Handle when a new output is added\n",
       "   */\n",
       "  function handleAddOutput(event, handle) {\n",
       "    var output_area = handle.output_area;\n",
       "    var output = handle.output;\n",
       "\n",
       "    // limit handleAddOutput to display_data with EXEC_MIME_TYPE content only\n",
       "    if ((output.output_type != \"display_data\") || (!output.data.hasOwnProperty(EXEC_MIME_TYPE))) {\n",
       "      return\n",
       "    }\n",
       "\n",
       "    var toinsert = output_area.element.find(\".\" + CLASS_NAME.split(' ')[0]);\n",
       "\n",
       "    if (output.metadata[EXEC_MIME_TYPE][\"id\"] !== undefined) {\n",
       "      toinsert[toinsert.length - 1].firstChild.textContent = output.data[JS_MIME_TYPE];\n",
       "      // store reference to embed id on output_area\n",
       "      output_area._bokeh_element_id = output.metadata[EXEC_MIME_TYPE][\"id\"];\n",
       "    }\n",
       "    if (output.metadata[EXEC_MIME_TYPE][\"server_id\"] !== undefined) {\n",
       "      var bk_div = document.createElement(\"div\");\n",
       "      bk_div.innerHTML = output.data[HTML_MIME_TYPE];\n",
       "      var script_attrs = bk_div.children[0].attributes;\n",
       "      for (var i = 0; i < script_attrs.length; i++) {\n",
       "        toinsert[toinsert.length - 1].firstChild.setAttribute(script_attrs[i].name, script_attrs[i].value);\n",
       "        toinsert[toinsert.length - 1].firstChild.textContent = bk_div.children[0].textContent\n",
       "      }\n",
       "      // store reference to server id on output_area\n",
       "      output_area._bokeh_server_id = output.metadata[EXEC_MIME_TYPE][\"server_id\"];\n",
       "    }\n",
       "  }\n",
       "\n",
       "  function register_renderer(events, OutputArea) {\n",
       "\n",
       "    function append_mime(data, metadata, element) {\n",
       "      // create a DOM node to render to\n",
       "      var toinsert = this.create_output_subarea(\n",
       "        metadata,\n",
       "        CLASS_NAME,\n",
       "        EXEC_MIME_TYPE\n",
       "      );\n",
       "      this.keyboard_manager.register_events(toinsert);\n",
       "      // Render to node\n",
       "      var props = {data: data, metadata: metadata[EXEC_MIME_TYPE]};\n",
       "      render(props, toinsert[toinsert.length - 1]);\n",
       "      element.append(toinsert);\n",
       "      return toinsert\n",
       "    }\n",
       "\n",
       "    /* Handle when an output is cleared or removed */\n",
       "    events.on('clear_output.CodeCell', handleClearOutput);\n",
       "    events.on('delete.Cell', handleClearOutput);\n",
       "\n",
       "    /* Handle when a new output is added */\n",
       "    events.on('output_added.OutputArea', handleAddOutput);\n",
       "\n",
       "    /**\n",
       "     * Register the mime type and append_mime function with output_area\n",
       "     */\n",
       "    OutputArea.prototype.register_mime_type(EXEC_MIME_TYPE, append_mime, {\n",
       "      /* Is output safe? */\n",
       "      safe: true,\n",
       "      /* Index of renderer in `output_area.display_order` */\n",
       "      index: 0\n",
       "    });\n",
       "  }\n",
       "\n",
       "  // register the mime type if in Jupyter Notebook environment and previously unregistered\n",
       "  if (root.Jupyter !== undefined) {\n",
       "    var events = require('base/js/events');\n",
       "    var OutputArea = require('notebook/js/outputarea').OutputArea;\n",
       "\n",
       "    if (OutputArea.prototype.mime_types().indexOf(EXEC_MIME_TYPE) == -1) {\n",
       "      register_renderer(events, OutputArea);\n",
       "    }\n",
       "  }\n",
       "\n",
       "  \n",
       "  if (typeof (root._bokeh_timeout) === \"undefined\" || force === true) {\n",
       "    root._bokeh_timeout = Date.now() + 5000;\n",
       "    root._bokeh_failed_load = false;\n",
       "  }\n",
       "\n",
       "  var NB_LOAD_WARNING = {'data': {'text/html':\n",
       "     \"<div style='background-color: #fdd'>\\n\"+\n",
       "     \"<p>\\n\"+\n",
       "     \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n",
       "     \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n",
       "     \"</p>\\n\"+\n",
       "     \"<ul>\\n\"+\n",
       "     \"<li>re-rerun `output_notebook()` to attempt to load from CDN again, or</li>\\n\"+\n",
       "     \"<li>use INLINE resources instead, as so:</li>\\n\"+\n",
       "     \"</ul>\\n\"+\n",
       "     \"<code>\\n\"+\n",
       "     \"from bokeh.resources import INLINE\\n\"+\n",
       "     \"output_notebook(resources=INLINE)\\n\"+\n",
       "     \"</code>\\n\"+\n",
       "     \"</div>\"}};\n",
       "\n",
       "  function display_loaded() {\n",
       "    var el = document.getElementById(\"1001\");\n",
       "    if (el != null) {\n",
       "      el.textContent = \"BokehJS is loading...\";\n",
       "    }\n",
       "    if (root.Bokeh !== undefined) {\n",
       "      if (el != null) {\n",
       "        el.textContent = \"BokehJS \" + root.Bokeh.version + \" successfully loaded.\";\n",
       "      }\n",
       "    } else if (Date.now() < root._bokeh_timeout) {\n",
       "      setTimeout(display_loaded, 100)\n",
       "    }\n",
       "  }\n",
       "\n",
       "\n",
       "  function run_callbacks() {\n",
       "    try {\n",
       "      root._bokeh_onload_callbacks.forEach(function(callback) {\n",
       "        if (callback != null)\n",
       "          callback();\n",
       "      });\n",
       "    } finally {\n",
       "      delete root._bokeh_onload_callbacks\n",
       "    }\n",
       "    console.debug(\"Bokeh: all callbacks have finished\");\n",
       "  }\n",
       "\n",
       "  function load_libs(css_urls, js_urls, callback) {\n",
       "    if (css_urls == null) css_urls = [];\n",
       "    if (js_urls == null) js_urls = [];\n",
       "\n",
       "    root._bokeh_onload_callbacks.push(callback);\n",
       "    if (root._bokeh_is_loading > 0) {\n",
       "      console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n",
       "      return null;\n",
       "    }\n",
       "    if (js_urls == null || js_urls.length === 0) {\n",
       "      run_callbacks();\n",
       "      return null;\n",
       "    }\n",
       "    console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n",
       "    root._bokeh_is_loading = css_urls.length + js_urls.length;\n",
       "\n",
       "    function on_load() {\n",
       "      root._bokeh_is_loading--;\n",
       "      if (root._bokeh_is_loading === 0) {\n",
       "        console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n",
       "        run_callbacks()\n",
       "      }\n",
       "    }\n",
       "\n",
       "    function on_error() {\n",
       "      console.error(\"failed to load \" + url);\n",
       "    }\n",
       "\n",
       "    for (var i = 0; i < css_urls.length; i++) {\n",
       "      var url = css_urls[i];\n",
       "      const element = document.createElement(\"link\");\n",
       "      element.onload = on_load;\n",
       "      element.onerror = on_error;\n",
       "      element.rel = \"stylesheet\";\n",
       "      element.type = \"text/css\";\n",
       "      element.href = url;\n",
       "      console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n",
       "      document.body.appendChild(element);\n",
       "    }\n",
       "\n",
       "    const hashes = {\"https://cdn.bokeh.org/bokeh/release/bokeh-2.2.3.min.js\": \"T2yuo9Oe71Cz/I4X9Ac5+gpEa5a8PpJCDlqKYO0CfAuEszu1JrXLl8YugMqYe3sM\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-2.2.3.min.js\": \"98GDGJ0kOMCUMUePhksaQ/GYgB3+NH9h996V88sh3aOiUNX3N+fLXAtry6xctSZ6\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-2.2.3.min.js\": \"89bArO+nlbP3sgakeHjCo1JYxYR5wufVgA3IbUvDY+K7w4zyxJqssu7wVnfeKCq8\"};\n",
       "\n",
       "    for (var i = 0; i < js_urls.length; i++) {\n",
       "      var url = js_urls[i];\n",
       "      var element = document.createElement('script');\n",
       "      element.onload = on_load;\n",
       "      element.onerror = on_error;\n",
       "      element.async = false;\n",
       "      element.src = url;\n",
       "      if (url in hashes) {\n",
       "        element.crossOrigin = \"anonymous\";\n",
       "        element.integrity = \"sha384-\" + hashes[url];\n",
       "      }\n",
       "      console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n",
       "      document.head.appendChild(element);\n",
       "    }\n",
       "  };\n",
       "\n",
       "  function inject_raw_css(css) {\n",
       "    const element = document.createElement(\"style\");\n",
       "    element.appendChild(document.createTextNode(css));\n",
       "    document.body.appendChild(element);\n",
       "  }\n",
       "\n",
       "  \n",
       "  var js_urls = [\"https://cdn.bokeh.org/bokeh/release/bokeh-2.2.3.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-2.2.3.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-2.2.3.min.js\"];\n",
       "  var css_urls = [];\n",
       "  \n",
       "\n",
       "  var inline_js = [\n",
       "    function(Bokeh) {\n",
       "      Bokeh.set_log_level(\"info\");\n",
       "    },\n",
       "    function(Bokeh) {\n",
       "    \n",
       "    \n",
       "    }\n",
       "  ];\n",
       "\n",
       "  function run_inline_js() {\n",
       "    \n",
       "    if (root.Bokeh !== undefined || force === true) {\n",
       "      \n",
       "    for (var i = 0; i < inline_js.length; i++) {\n",
       "      inline_js[i].call(root, root.Bokeh);\n",
       "    }\n",
       "    if (force === true) {\n",
       "        display_loaded();\n",
       "      }} else if (Date.now() < root._bokeh_timeout) {\n",
       "      setTimeout(run_inline_js, 100);\n",
       "    } else if (!root._bokeh_failed_load) {\n",
       "      console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n",
       "      root._bokeh_failed_load = true;\n",
       "    } else if (force !== true) {\n",
       "      var cell = $(document.getElementById(\"1001\")).parents('.cell').data().cell;\n",
       "      cell.output_area.append_execute_result(NB_LOAD_WARNING)\n",
       "    }\n",
       "\n",
       "  }\n",
       "\n",
       "  if (root._bokeh_is_loading === 0) {\n",
       "    console.debug(\"Bokeh: BokehJS loaded, going straight to plotting\");\n",
       "    run_inline_js();\n",
       "  } else {\n",
       "    load_libs(css_urls, js_urls, function() {\n",
       "      console.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n",
       "      run_inline_js();\n",
       "    });\n",
       "  }\n",
       "}(window));"
      ],
      "application/vnd.bokehjs_load.v0+json": "\n(function(root) {\n  function now() {\n    return new Date();\n  }\n\n  var force = true;\n\n  if (typeof root._bokeh_onload_callbacks === \"undefined\" || force === true) {\n    root._bokeh_onload_callbacks = [];\n    root._bokeh_is_loading = undefined;\n  }\n\n  \n\n  \n  if (typeof (root._bokeh_timeout) === \"undefined\" || force === true) {\n    root._bokeh_timeout = Date.now() + 5000;\n    root._bokeh_failed_load = false;\n  }\n\n  var NB_LOAD_WARNING = {'data': {'text/html':\n     \"<div style='background-color: #fdd'>\\n\"+\n     \"<p>\\n\"+\n     \"BokehJS does not appear to have successfully loaded. If loading BokehJS from CDN, this \\n\"+\n     \"may be due to a slow or bad network connection. Possible fixes:\\n\"+\n     \"</p>\\n\"+\n     \"<ul>\\n\"+\n     \"<li>re-rerun `output_notebook()` to attempt to load from CDN again, or</li>\\n\"+\n     \"<li>use INLINE resources instead, as so:</li>\\n\"+\n     \"</ul>\\n\"+\n     \"<code>\\n\"+\n     \"from bokeh.resources import INLINE\\n\"+\n     \"output_notebook(resources=INLINE)\\n\"+\n     \"</code>\\n\"+\n     \"</div>\"}};\n\n  function display_loaded() {\n    var el = document.getElementById(\"1001\");\n    if (el != null) {\n      el.textContent = \"BokehJS is loading...\";\n    }\n    if (root.Bokeh !== undefined) {\n      if (el != null) {\n        el.textContent = \"BokehJS \" + root.Bokeh.version + \" successfully loaded.\";\n      }\n    } else if (Date.now() < root._bokeh_timeout) {\n      setTimeout(display_loaded, 100)\n    }\n  }\n\n\n  function run_callbacks() {\n    try {\n      root._bokeh_onload_callbacks.forEach(function(callback) {\n        if (callback != null)\n          callback();\n      });\n    } finally {\n      delete root._bokeh_onload_callbacks\n    }\n    console.debug(\"Bokeh: all callbacks have finished\");\n  }\n\n  function load_libs(css_urls, js_urls, callback) {\n    if (css_urls == null) css_urls = [];\n    if (js_urls == null) js_urls = [];\n\n    root._bokeh_onload_callbacks.push(callback);\n    if (root._bokeh_is_loading > 0) {\n      console.debug(\"Bokeh: BokehJS is being loaded, scheduling callback at\", now());\n      return null;\n    }\n    if (js_urls == null || js_urls.length === 0) {\n      run_callbacks();\n      return null;\n    }\n    console.debug(\"Bokeh: BokehJS not loaded, scheduling load and callback at\", now());\n    root._bokeh_is_loading = css_urls.length + js_urls.length;\n\n    function on_load() {\n      root._bokeh_is_loading--;\n      if (root._bokeh_is_loading === 0) {\n        console.debug(\"Bokeh: all BokehJS libraries/stylesheets loaded\");\n        run_callbacks()\n      }\n    }\n\n    function on_error() {\n      console.error(\"failed to load \" + url);\n    }\n\n    for (var i = 0; i < css_urls.length; i++) {\n      var url = css_urls[i];\n      const element = document.createElement(\"link\");\n      element.onload = on_load;\n      element.onerror = on_error;\n      element.rel = \"stylesheet\";\n      element.type = \"text/css\";\n      element.href = url;\n      console.debug(\"Bokeh: injecting link tag for BokehJS stylesheet: \", url);\n      document.body.appendChild(element);\n    }\n\n    const hashes = {\"https://cdn.bokeh.org/bokeh/release/bokeh-2.2.3.min.js\": \"T2yuo9Oe71Cz/I4X9Ac5+gpEa5a8PpJCDlqKYO0CfAuEszu1JrXLl8YugMqYe3sM\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-2.2.3.min.js\": \"98GDGJ0kOMCUMUePhksaQ/GYgB3+NH9h996V88sh3aOiUNX3N+fLXAtry6xctSZ6\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-2.2.3.min.js\": \"89bArO+nlbP3sgakeHjCo1JYxYR5wufVgA3IbUvDY+K7w4zyxJqssu7wVnfeKCq8\"};\n\n    for (var i = 0; i < js_urls.length; i++) {\n      var url = js_urls[i];\n      var element = document.createElement('script');\n      element.onload = on_load;\n      element.onerror = on_error;\n      element.async = false;\n      element.src = url;\n      if (url in hashes) {\n        element.crossOrigin = \"anonymous\";\n        element.integrity = \"sha384-\" + hashes[url];\n      }\n      console.debug(\"Bokeh: injecting script tag for BokehJS library: \", url);\n      document.head.appendChild(element);\n    }\n  };\n\n  function inject_raw_css(css) {\n    const element = document.createElement(\"style\");\n    element.appendChild(document.createTextNode(css));\n    document.body.appendChild(element);\n  }\n\n  \n  var js_urls = [\"https://cdn.bokeh.org/bokeh/release/bokeh-2.2.3.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-widgets-2.2.3.min.js\", \"https://cdn.bokeh.org/bokeh/release/bokeh-tables-2.2.3.min.js\"];\n  var css_urls = [];\n  \n\n  var inline_js = [\n    function(Bokeh) {\n      Bokeh.set_log_level(\"info\");\n    },\n    function(Bokeh) {\n    \n    \n    }\n  ];\n\n  function run_inline_js() {\n    \n    if (root.Bokeh !== undefined || force === true) {\n      \n    for (var i = 0; i < inline_js.length; i++) {\n      inline_js[i].call(root, root.Bokeh);\n    }\n    if (force === true) {\n        display_loaded();\n      }} else if (Date.now() < root._bokeh_timeout) {\n      setTimeout(run_inline_js, 100);\n    } else if (!root._bokeh_failed_load) {\n      console.log(\"Bokeh: BokehJS failed to load within specified timeout.\");\n      root._bokeh_failed_load = true;\n    } else if (force !== true) {\n      var cell = $(document.getElementById(\"1001\")).parents('.cell').data().cell;\n      cell.output_area.append_execute_result(NB_LOAD_WARNING)\n    }\n\n  }\n\n  if (root._bokeh_is_loading === 0) {\n    console.debug(\"Bokeh: BokehJS loaded, going straight to plotting\");\n    run_inline_js();\n  } else {\n    load_libs(css_urls, js_urls, function() {\n      console.debug(\"Bokeh: BokehJS plotting callback run at\", now());\n      run_inline_js();\n    });\n  }\n}(window));"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING:bokeh.core.validation.check:W-1000 (MISSING_RENDERERS): Plot has no renderers: Figure(id='1002', ...)\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "  <div class=\"bk-root\" id=\"980c1814-d95c-4a7b-b707-103a76a09ed3\" data-root-id=\"1002\"></div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function embed_document(root) {\n",
       "    \n",
       "  var docs_json = {\"05aba799-2bad-4ca2-b0b6-298fae85a932\":{\"roots\":{\"references\":[{\"attributes\":{\"below\":[{\"id\":\"1011\"}],\"center\":[{\"id\":\"1014\"},{\"id\":\"1018\"}],\"left\":[{\"id\":\"1015\"}],\"title\":{\"id\":\"1034\"},\"toolbar\":{\"id\":\"1026\"},\"x_range\":{\"id\":\"1003\"},\"x_scale\":{\"id\":\"1007\"},\"y_range\":{\"id\":\"1005\"},\"y_scale\":{\"id\":\"1009\"}},\"id\":\"1002\",\"subtype\":\"Figure\",\"type\":\"Plot\"},{\"attributes\":{},\"id\":\"1035\",\"type\":\"BasicTickFormatter\"},{\"attributes\":{},\"id\":\"1037\",\"type\":\"BasicTickFormatter\"},{\"attributes\":{\"axis\":{\"id\":\"1011\"},\"ticker\":null},\"id\":\"1014\",\"type\":\"Grid\"},{\"attributes\":{\"bottom_units\":\"screen\",\"fill_alpha\":0.5,\"fill_color\":\"lightgrey\",\"left_units\":\"screen\",\"level\":\"overlay\",\"line_alpha\":1.0,\"line_color\":\"black\",\"line_dash\":[4,4],\"line_width\":2,\"right_units\":\"screen\",\"top_units\":\"screen\"},\"id\":\"1025\",\"type\":\"BoxAnnotation\"},{\"attributes\":{},\"id\":\"1016\",\"type\":\"BasicTicker\"},{\"attributes\":{},\"id\":\"1007\",\"type\":\"LinearScale\"},{\"attributes\":{},\"id\":\"1009\",\"type\":\"LinearScale\"},{\"attributes\":{},\"id\":\"1012\",\"type\":\"BasicTicker\"},{\"attributes\":{},\"id\":\"1024\",\"type\":\"HelpTool\"},{\"attributes\":{},\"id\":\"1005\",\"type\":\"DataRange1d\"},{\"attributes\":{\"formatter\":{\"id\":\"1037\"},\"ticker\":{\"id\":\"1016\"}},\"id\":\"1015\",\"type\":\"LinearAxis\"},{\"attributes\":{\"formatter\":{\"id\":\"1035\"},\"ticker\":{\"id\":\"1012\"}},\"id\":\"1011\",\"type\":\"LinearAxis\"},{\"attributes\":{\"axis\":{\"id\":\"1015\"},\"dimension\":1,\"ticker\":null},\"id\":\"1018\",\"type\":\"Grid\"},{\"attributes\":{\"active_drag\":\"auto\",\"active_inspect\":\"auto\",\"active_multi\":null,\"active_scroll\":\"auto\",\"active_tap\":\"auto\",\"tools\":[{\"id\":\"1019\"},{\"id\":\"1020\"},{\"id\":\"1021\"},{\"id\":\"1022\"},{\"id\":\"1023\"},{\"id\":\"1024\"}]},\"id\":\"1026\",\"type\":\"Toolbar\"},{\"attributes\":{},\"id\":\"1020\",\"type\":\"WheelZoomTool\"},{\"attributes\":{},\"id\":\"1003\",\"type\":\"DataRange1d\"},{\"attributes\":{\"overlay\":{\"id\":\"1025\"}},\"id\":\"1021\",\"type\":\"BoxZoomTool\"},{\"attributes\":{},\"id\":\"1022\",\"type\":\"SaveTool\"},{\"attributes\":{},\"id\":\"1023\",\"type\":\"ResetTool\"},{\"attributes\":{\"text\":\"\"},\"id\":\"1034\",\"type\":\"Title\"},{\"attributes\":{},\"id\":\"1019\",\"type\":\"PanTool\"}],\"root_ids\":[\"1002\"]},\"title\":\"Bokeh Application\",\"version\":\"2.2.3\"}};\n",
       "  var render_items = [{\"docid\":\"05aba799-2bad-4ca2-b0b6-298fae85a932\",\"root_ids\":[\"1002\"],\"roots\":{\"1002\":\"980c1814-d95c-4a7b-b707-103a76a09ed3\"}}];\n",
       "  root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
       "\n",
       "  }\n",
       "  if (root.Bokeh !== undefined) {\n",
       "    embed_document(root);\n",
       "  } else {\n",
       "    var attempts = 0;\n",
       "    var timer = setInterval(function(root) {\n",
       "      if (root.Bokeh !== undefined) {\n",
       "        clearInterval(timer);\n",
       "        embed_document(root);\n",
       "      } else {\n",
       "        attempts++;\n",
       "        if (attempts > 100) {\n",
       "          clearInterval(timer);\n",
       "          console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
       "        }\n",
       "      }\n",
       "    }, 10, root)\n",
       "  }\n",
       "})(window);"
      ],
      "application/vnd.bokehjs_exec.v0+json": ""
     },
     "metadata": {
      "application/vnd.bokehjs_exec.v0+json": {
       "id": "1002"
      }
     },
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING:bokeh.core.validation.check:W-1000 (MISSING_RENDERERS): Plot has no renderers: Figure(id='1002', ...)\n"
     ]
    }
   ],
   "source": [
    "\"\"\"Bokeh Visualization Template\n",
    "\n",
    "This template is a general outline for turning your data into a \n",
    "visualization using Bokeh.\n",
    "\"\"\"\n",
    "\n",
    "# Data handling\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "\n",
    "# Bokeh libraries\n",
    "\n",
    "from bokeh.io import output_file, output_notebook\n",
    "from bokeh.plotting import figure, show\n",
    "from bokeh.models import ColumnDataSource\n",
    "from bokeh.layouts import row, column, gridplot\n",
    "from bokeh.models.widgets import Tabs, Panel\n",
    "\n",
    "# Prepare the data\n",
    "\n",
    "# Determine where the visualization will be rendered\n",
    "output_file('./CodeOUtputs/filename.html')  # Render to static HTML, or \n",
    "output_notebook()  # Render inline in a Jupyter Notebook\n",
    "\n",
    "# Set up the figure(s)\n",
    "fig = figure()  # Instantiate a figure() object\n",
    "\n",
    "# Connect to and draw the data\n",
    "\n",
    "# Organize the layout\n",
    "\n",
    "# Preview and save \n",
    "show(fig)  # See what I made, and save if I like it\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Generating Your First Figure\n",
    "\n",
    "There are multiple ways to output your visualization in Bokeh. \n",
    "In this tutorial, you’ll see these two options:\n",
    "\n",
    "* output_file('filename.html') will write the visualization to a static HTML file.\n",
    "* output_notebook() will render your visualization directly in a Jupyter Notebook.\n",
    "\n",
    "It’s important to note that neither function will actually show you the visualization. \n",
    "That doesn’t happen until **_show()_** is called. However, they will ensure that, when show() is called, the visualization appears where you intend it to.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Getting Your Figure Ready for Data\n",
    "\n",
    "Now that you know how to create and view a generic Bokeh figure either in a browser or Jupyter Notebook,\n",
    "it’s time to learn more about how to configure the figure() object.\n",
    "\n",
    "The **figure()** object is not only the foundation of your data visualization but also the object that unlocks all of Bokeh’s available tools for visualizing data. \n",
    "The Bokeh figure is a subclass of the Bokeh Plot object, which provides many of the parameters that make it possible to configure the aesthetic elements of your figure.\n",
    "\n",
    "To show you just a glimpse into the customization options available, let’s create the ugliest figure ever:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "  <div class=\"bk-root\" id=\"c0420370-e772-4216-ba19-c3136913037a\" data-root-id=\"1139\"></div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function embed_document(root) {\n",
       "    \n",
       "  var docs_json = {\"bb989047-5a2e-49fe-aa2f-605c40f3ccec\":{\"roots\":{\"references\":[{\"attributes\":{\"below\":[{\"id\":\"1150\"}],\"center\":[{\"id\":\"1153\"},{\"id\":\"1157\"}],\"left\":[{\"id\":\"1154\"}],\"renderers\":[{\"id\":\"1175\"}],\"title\":{\"id\":\"1140\"},\"toolbar\":{\"id\":\"1165\"},\"toolbar_location\":null,\"x_range\":{\"id\":\"1142\"},\"x_scale\":{\"id\":\"1146\"},\"y_range\":{\"id\":\"1144\"},\"y_scale\":{\"id\":\"1148\"}},\"id\":\"1139\",\"subtype\":\"Figure\",\"type\":\"Plot\"},{\"attributes\":{\"formatter\":{\"id\":\"1187\"},\"ticker\":{\"id\":\"1155\"}},\"id\":\"1154\",\"type\":\"LinearAxis\"},{\"attributes\":{},\"id\":\"1161\",\"type\":\"SaveTool\"},{\"attributes\":{\"end\":3},\"id\":\"1144\",\"type\":\"Range1d\"},{\"attributes\":{\"end\":3},\"id\":\"1142\",\"type\":\"Range1d\"},{\"attributes\":{\"formatter\":{\"id\":\"1185\"},\"ticker\":{\"id\":\"1151\"}},\"id\":\"1150\",\"type\":\"LinearAxis\"},{\"attributes\":{},\"id\":\"1146\",\"type\":\"LinearScale\"},{\"attributes\":{},\"id\":\"1151\",\"type\":\"BasicTicker\"},{\"attributes\":{\"axis\":{\"id\":\"1154\"},\"dimension\":1,\"ticker\":null},\"id\":\"1157\",\"type\":\"Grid\"},{\"attributes\":{\"fill_alpha\":{\"value\":0.1},\"fill_color\":{\"value\":\"green\"},\"line_alpha\":{\"value\":0.1},\"line_color\":{\"value\":\"green\"},\"size\":{\"units\":\"screen\",\"value\":10},\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"1174\",\"type\":\"Circle\"},{\"attributes\":{\"active_drag\":\"auto\",\"active_inspect\":\"auto\",\"active_multi\":null,\"active_scroll\":\"auto\",\"active_tap\":\"auto\",\"tools\":[{\"id\":\"1158\"},{\"id\":\"1159\"},{\"id\":\"1160\"},{\"id\":\"1161\"},{\"id\":\"1162\"},{\"id\":\"1163\"}]},\"id\":\"1165\",\"type\":\"Toolbar\"},{\"attributes\":{\"source\":{\"id\":\"1172\"}},\"id\":\"1176\",\"type\":\"CDSView\"},{\"attributes\":{},\"id\":\"1159\",\"type\":\"WheelZoomTool\"},{\"attributes\":{},\"id\":\"1187\",\"type\":\"BasicTickFormatter\"},{\"attributes\":{},\"id\":\"1158\",\"type\":\"PanTool\"},{\"attributes\":{\"overlay\":{\"id\":\"1164\"}},\"id\":\"1160\",\"type\":\"BoxZoomTool\"},{\"attributes\":{\"data_source\":{\"id\":\"1172\"},\"glyph\":{\"id\":\"1173\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"1174\"},\"selection_glyph\":null,\"view\":{\"id\":\"1176\"}},\"id\":\"1175\",\"type\":\"GlyphRenderer\"},{\"attributes\":{},\"id\":\"1185\",\"type\":\"BasicTickFormatter\"},{\"attributes\":{},\"id\":\"1162\",\"type\":\"ResetTool\"},{\"attributes\":{\"fill_alpha\":{\"value\":0.5},\"fill_color\":{\"value\":\"green\"},\"line_alpha\":{\"value\":0.5},\"line_color\":{\"value\":\"green\"},\"size\":{\"units\":\"screen\",\"value\":10},\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"1173\",\"type\":\"Circle\"},{\"attributes\":{},\"id\":\"1189\",\"type\":\"Selection\"},{\"attributes\":{\"data\":{\"x\":[1,2,1],\"y\":[1,1,2]},\"selected\":{\"id\":\"1189\"},\"selection_policy\":{\"id\":\"1190\"}},\"id\":\"1172\",\"type\":\"ColumnDataSource\"},{\"attributes\":{},\"id\":\"1163\",\"type\":\"HelpTool\"},{\"attributes\":{\"axis\":{\"id\":\"1150\"},\"ticker\":null},\"id\":\"1153\",\"type\":\"Grid\"},{\"attributes\":{},\"id\":\"1190\",\"type\":\"UnionRenderers\"},{\"attributes\":{},\"id\":\"1148\",\"type\":\"LinearScale\"},{\"attributes\":{},\"id\":\"1155\",\"type\":\"BasicTicker\"},{\"attributes\":{\"bottom_units\":\"screen\",\"fill_alpha\":0.5,\"fill_color\":\"lightgrey\",\"left_units\":\"screen\",\"level\":\"overlay\",\"line_alpha\":1.0,\"line_color\":\"black\",\"line_dash\":[4,4],\"line_width\":2,\"right_units\":\"screen\",\"top_units\":\"screen\"},\"id\":\"1164\",\"type\":\"BoxAnnotation\"},{\"attributes\":{\"text\":\"My Coordinates\"},\"id\":\"1140\",\"type\":\"Title\"}],\"root_ids\":[\"1139\"]},\"title\":\"Bokeh Application\",\"version\":\"2.2.3\"}};\n",
       "  var render_items = [{\"docid\":\"bb989047-5a2e-49fe-aa2f-605c40f3ccec\",\"root_ids\":[\"1139\"],\"roots\":{\"1139\":\"c0420370-e772-4216-ba19-c3136913037a\"}}];\n",
       "  root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
       "\n",
       "  }\n",
       "  if (root.Bokeh !== undefined) {\n",
       "    embed_document(root);\n",
       "  } else {\n",
       "    var attempts = 0;\n",
       "    var timer = setInterval(function(root) {\n",
       "      if (root.Bokeh !== undefined) {\n",
       "        clearInterval(timer);\n",
       "        embed_document(root);\n",
       "      } else {\n",
       "        attempts++;\n",
       "        if (attempts > 100) {\n",
       "          clearInterval(timer);\n",
       "          console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
       "        }\n",
       "      }\n",
       "    }, 10, root)\n",
       "  }\n",
       "})(window);"
      ],
      "application/vnd.bokehjs_exec.v0+json": ""
     },
     "metadata": {
      "application/vnd.bokehjs_exec.v0+json": {
       "id": "1139"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Bokeh Libraries\n",
    "from bokeh.io import output_file\n",
    "from bokeh.plotting import figure, show\n",
    "\n",
    "# My x-y coordinate data\n",
    "x = [1, 2, 1]\n",
    "y = [1, 1, 2]\n",
    "\n",
    "# Output the visualization directly in the notebook\n",
    "output_file('./CodeOUtputs/first_glyphs.html', title='First Glyphs')\n",
    "\n",
    "# Create a figure with no toolbar and axis ranges of [0,3]\n",
    "fig = figure(title='My Coordinates',\n",
    "             plot_height=600, plot_width=600,\n",
    "             x_range=(0, 3), y_range=(0, 3),\n",
    "             toolbar_location=None)\n",
    "\n",
    "# Draw the coordinates as circles\n",
    "fig.circle(x=x, y=y,\n",
    "           color='green', size=10, alpha=0.5)\n",
    "\n",
    "# Show plot\n",
    "show(fig)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "  <div class=\"bk-root\" id=\"deab0c05-56e9-4b0d-932a-399dbe1b3e99\" data-root-id=\"1321\"></div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function embed_document(root) {\n",
       "    \n",
       "  var docs_json = {\"e9e88db3-6530-4d3c-a2bf-828c60d5c214\":{\"roots\":{\"references\":[{\"attributes\":{\"below\":[{\"id\":\"1330\"}],\"center\":[{\"id\":\"1333\"},{\"id\":\"1337\"}],\"left\":[{\"id\":\"1334\"}],\"plot_height\":400,\"plot_width\":400,\"renderers\":[{\"id\":\"1355\"}],\"title\":{\"id\":\"1373\"},\"toolbar\":{\"id\":\"1345\"},\"x_range\":{\"id\":\"1322\"},\"x_scale\":{\"id\":\"1326\"},\"y_range\":{\"id\":\"1324\"},\"y_scale\":{\"id\":\"1328\"}},\"id\":\"1321\",\"subtype\":\"Figure\",\"type\":\"Plot\"},{\"attributes\":{\"bottom_units\":\"screen\",\"fill_alpha\":0.5,\"fill_color\":\"lightgrey\",\"left_units\":\"screen\",\"level\":\"overlay\",\"line_alpha\":1.0,\"line_color\":\"black\",\"line_dash\":[4,4],\"line_width\":2,\"right_units\":\"screen\",\"top_units\":\"screen\"},\"id\":\"1344\",\"type\":\"BoxAnnotation\"},{\"attributes\":{},\"id\":\"1324\",\"type\":\"DataRange1d\"},{\"attributes\":{},\"id\":\"1374\",\"type\":\"BasicTickFormatter\"},{\"attributes\":{\"formatter\":{\"id\":\"1374\"},\"ticker\":{\"id\":\"1331\"}},\"id\":\"1330\",\"type\":\"LinearAxis\"},{\"attributes\":{},\"id\":\"1339\",\"type\":\"WheelZoomTool\"},{\"attributes\":{\"formatter\":{\"id\":\"1376\"},\"ticker\":{\"id\":\"1335\"}},\"id\":\"1334\",\"type\":\"LinearAxis\"},{\"attributes\":{},\"id\":\"1378\",\"type\":\"Selection\"},{\"attributes\":{},\"id\":\"1379\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"overlay\":{\"id\":\"1344\"}},\"id\":\"1340\",\"type\":\"BoxZoomTool\"},{\"attributes\":{\"active_drag\":\"auto\",\"active_inspect\":\"auto\",\"active_multi\":null,\"active_scroll\":\"auto\",\"active_tap\":\"auto\",\"tools\":[{\"id\":\"1338\"},{\"id\":\"1339\"},{\"id\":\"1340\"},{\"id\":\"1341\"},{\"id\":\"1342\"},{\"id\":\"1343\"}]},\"id\":\"1345\",\"type\":\"Toolbar\"},{\"attributes\":{\"fill_alpha\":{\"value\":0.5},\"fill_color\":{\"value\":\"navy\"},\"line_alpha\":{\"value\":0.5},\"line_color\":{\"value\":\"navy\"},\"size\":{\"units\":\"screen\",\"value\":20},\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"1353\",\"type\":\"Circle\"},{\"attributes\":{},\"id\":\"1376\",\"type\":\"BasicTickFormatter\"},{\"attributes\":{},\"id\":\"1326\",\"type\":\"LinearScale\"},{\"attributes\":{},\"id\":\"1328\",\"type\":\"LinearScale\"},{\"attributes\":{\"data_source\":{\"id\":\"1352\"},\"glyph\":{\"id\":\"1353\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"1354\"},\"selection_glyph\":null,\"view\":{\"id\":\"1356\"}},\"id\":\"1355\",\"type\":\"GlyphRenderer\"},{\"attributes\":{},\"id\":\"1343\",\"type\":\"HelpTool\"},{\"attributes\":{},\"id\":\"1335\",\"type\":\"BasicTicker\"},{\"attributes\":{},\"id\":\"1342\",\"type\":\"ResetTool\"},{\"attributes\":{\"data\":{\"x\":[1,2,3,4,5],\"y\":[6,7,2,4,5]},\"selected\":{\"id\":\"1378\"},\"selection_policy\":{\"id\":\"1379\"}},\"id\":\"1352\",\"type\":\"ColumnDataSource\"},{\"attributes\":{},\"id\":\"1331\",\"type\":\"BasicTicker\"},{\"attributes\":{\"fill_alpha\":{\"value\":0.1},\"fill_color\":{\"value\":\"navy\"},\"line_alpha\":{\"value\":0.1},\"line_color\":{\"value\":\"navy\"},\"size\":{\"units\":\"screen\",\"value\":20},\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"1354\",\"type\":\"Circle\"},{\"attributes\":{\"source\":{\"id\":\"1352\"}},\"id\":\"1356\",\"type\":\"CDSView\"},{\"attributes\":{},\"id\":\"1341\",\"type\":\"SaveTool\"},{\"attributes\":{\"axis\":{\"id\":\"1334\"},\"dimension\":1,\"ticker\":null},\"id\":\"1337\",\"type\":\"Grid\"},{\"attributes\":{},\"id\":\"1322\",\"type\":\"DataRange1d\"},{\"attributes\":{\"text\":\"\"},\"id\":\"1373\",\"type\":\"Title\"},{\"attributes\":{\"axis\":{\"id\":\"1330\"},\"ticker\":null},\"id\":\"1333\",\"type\":\"Grid\"},{\"attributes\":{},\"id\":\"1338\",\"type\":\"PanTool\"}],\"root_ids\":[\"1321\"]},\"title\":\"Bokeh Application\",\"version\":\"2.2.3\"}};\n",
       "  var render_items = [{\"docid\":\"e9e88db3-6530-4d3c-a2bf-828c60d5c214\",\"root_ids\":[\"1321\"],\"roots\":{\"1321\":\"deab0c05-56e9-4b0d-932a-399dbe1b3e99\"}}];\n",
       "  root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
       "\n",
       "  }\n",
       "  if (root.Bokeh !== undefined) {\n",
       "    embed_document(root);\n",
       "  } else {\n",
       "    var attempts = 0;\n",
       "    var timer = setInterval(function(root) {\n",
       "      if (root.Bokeh !== undefined) {\n",
       "        clearInterval(timer);\n",
       "        embed_document(root);\n",
       "      } else {\n",
       "        attempts++;\n",
       "        if (attempts > 100) {\n",
       "          clearInterval(timer);\n",
       "          console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
       "        }\n",
       "      }\n",
       "    }, 10, root)\n",
       "  }\n",
       "})(window);"
      ],
      "application/vnd.bokehjs_exec.v0+json": ""
     },
     "metadata": {
      "application/vnd.bokehjs_exec.v0+json": {
       "id": "1321"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from bokeh.plotting import figure, output_file, show\n",
    "\n",
    "# output to static HTML file\n",
    "output_file(\"./CodeOUtputs/line.html\")\n",
    "\n",
    "p = figure(plot_width=400, plot_height=400)\n",
    "\n",
    "# add a circle renderer with a size, color, and alpha\n",
    "p.circle([1, 2, 3, 4, 5], [6, 7, 2, 4, 5], size=20, color=\"navy\", alpha=0.5)\n",
    "\n",
    "# show the results\n",
    "show(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "  <div class=\"bk-root\" id=\"d3f67059-ba88-4604-9cfb-81b2ede4a9d0\" data-root-id=\"1526\"></div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function embed_document(root) {\n",
       "    \n",
       "  var docs_json = {\"bd4a8c7c-d0f6-4cfa-99a1-8c4f1bc493ab\":{\"roots\":{\"references\":[{\"attributes\":{\"below\":[{\"id\":\"1535\"}],\"center\":[{\"id\":\"1538\"},{\"id\":\"1542\"}],\"left\":[{\"id\":\"1539\"}],\"plot_height\":400,\"plot_width\":400,\"renderers\":[{\"id\":\"1560\"}],\"title\":{\"id\":\"1587\"},\"toolbar\":{\"id\":\"1550\"},\"x_range\":{\"id\":\"1527\"},\"x_scale\":{\"id\":\"1531\"},\"y_range\":{\"id\":\"1529\"},\"y_scale\":{\"id\":\"1533\"}},\"id\":\"1526\",\"subtype\":\"Figure\",\"type\":\"Plot\"},{\"attributes\":{\"formatter\":{\"id\":\"1588\"},\"ticker\":{\"id\":\"1536\"}},\"id\":\"1535\",\"type\":\"LinearAxis\"},{\"attributes\":{},\"id\":\"1531\",\"type\":\"LinearScale\"},{\"attributes\":{\"formatter\":{\"id\":\"1590\"},\"ticker\":{\"id\":\"1540\"}},\"id\":\"1539\",\"type\":\"LinearAxis\"},{\"attributes\":{},\"id\":\"1529\",\"type\":\"DataRange1d\"},{\"attributes\":{},\"id\":\"1533\",\"type\":\"LinearScale\"},{\"attributes\":{},\"id\":\"1548\",\"type\":\"HelpTool\"},{\"attributes\":{},\"id\":\"1590\",\"type\":\"BasicTickFormatter\"},{\"attributes\":{},\"id\":\"1536\",\"type\":\"BasicTicker\"},{\"attributes\":{\"axis\":{\"id\":\"1535\"},\"ticker\":null},\"id\":\"1538\",\"type\":\"Grid\"},{\"attributes\":{\"axis\":{\"id\":\"1539\"},\"dimension\":1,\"ticker\":null},\"id\":\"1542\",\"type\":\"Grid\"},{\"attributes\":{},\"id\":\"1540\",\"type\":\"BasicTicker\"},{\"attributes\":{\"fill_alpha\":{\"value\":0.5},\"fill_color\":{\"value\":\"olive\"},\"line_alpha\":{\"value\":0.5},\"line_color\":{\"value\":\"olive\"},\"size\":{\"units\":\"screen\",\"value\":20},\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"1558\",\"type\":\"Square\"},{\"attributes\":{},\"id\":\"1544\",\"type\":\"WheelZoomTool\"},{\"attributes\":{\"active_drag\":\"auto\",\"active_inspect\":\"auto\",\"active_multi\":null,\"active_scroll\":\"auto\",\"active_tap\":\"auto\",\"tools\":[{\"id\":\"1543\"},{\"id\":\"1544\"},{\"id\":\"1545\"},{\"id\":\"1546\"},{\"id\":\"1547\"},{\"id\":\"1548\"}]},\"id\":\"1550\",\"type\":\"Toolbar\"},{\"attributes\":{},\"id\":\"1543\",\"type\":\"PanTool\"},{\"attributes\":{\"overlay\":{\"id\":\"1549\"}},\"id\":\"1545\",\"type\":\"BoxZoomTool\"},{\"attributes\":{},\"id\":\"1546\",\"type\":\"SaveTool\"},{\"attributes\":{},\"id\":\"1547\",\"type\":\"ResetTool\"},{\"attributes\":{\"data_source\":{\"id\":\"1557\"},\"glyph\":{\"id\":\"1558\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"1559\"},\"selection_glyph\":null,\"view\":{\"id\":\"1561\"}},\"id\":\"1560\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"data\":{\"x\":[1,2,3,4,5],\"y\":[6,7,2,4,5]},\"selected\":{\"id\":\"1592\"},\"selection_policy\":{\"id\":\"1593\"}},\"id\":\"1557\",\"type\":\"ColumnDataSource\"},{\"attributes\":{},\"id\":\"1592\",\"type\":\"Selection\"},{\"attributes\":{\"fill_alpha\":{\"value\":0.1},\"fill_color\":{\"value\":\"olive\"},\"line_alpha\":{\"value\":0.1},\"line_color\":{\"value\":\"olive\"},\"size\":{\"units\":\"screen\",\"value\":20},\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"1559\",\"type\":\"Square\"},{\"attributes\":{},\"id\":\"1593\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"source\":{\"id\":\"1557\"}},\"id\":\"1561\",\"type\":\"CDSView\"},{\"attributes\":{\"text\":\"\"},\"id\":\"1587\",\"type\":\"Title\"},{\"attributes\":{},\"id\":\"1527\",\"type\":\"DataRange1d\"},{\"attributes\":{},\"id\":\"1588\",\"type\":\"BasicTickFormatter\"},{\"attributes\":{\"bottom_units\":\"screen\",\"fill_alpha\":0.5,\"fill_color\":\"lightgrey\",\"left_units\":\"screen\",\"level\":\"overlay\",\"line_alpha\":1.0,\"line_color\":\"black\",\"line_dash\":[4,4],\"line_width\":2,\"right_units\":\"screen\",\"top_units\":\"screen\"},\"id\":\"1549\",\"type\":\"BoxAnnotation\"}],\"root_ids\":[\"1526\"]},\"title\":\"Bokeh Application\",\"version\":\"2.2.3\"}};\n",
       "  var render_items = [{\"docid\":\"bd4a8c7c-d0f6-4cfa-99a1-8c4f1bc493ab\",\"root_ids\":[\"1526\"],\"roots\":{\"1526\":\"d3f67059-ba88-4604-9cfb-81b2ede4a9d0\"}}];\n",
       "  root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
       "\n",
       "  }\n",
       "  if (root.Bokeh !== undefined) {\n",
       "    embed_document(root);\n",
       "  } else {\n",
       "    var attempts = 0;\n",
       "    var timer = setInterval(function(root) {\n",
       "      if (root.Bokeh !== undefined) {\n",
       "        clearInterval(timer);\n",
       "        embed_document(root);\n",
       "      } else {\n",
       "        attempts++;\n",
       "        if (attempts > 100) {\n",
       "          clearInterval(timer);\n",
       "          console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
       "        }\n",
       "      }\n",
       "    }, 10, root)\n",
       "  }\n",
       "})(window);"
      ],
      "application/vnd.bokehjs_exec.v0+json": ""
     },
     "metadata": {
      "application/vnd.bokehjs_exec.v0+json": {
       "id": "1526"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from bokeh.plotting import figure, output_file, show\n",
    "\n",
    "# output to static HTML file\n",
    "output_file(\"./CodeOUtputs/square.html\")\n",
    "\n",
    "p = figure(plot_width=400, plot_height=400)\n",
    "\n",
    "# add a square renderer with a size, color, and alpha\n",
    "p.square([1, 2, 3, 4, 5], [6, 7, 2, 4, 5], size=20, color=\"olive\", alpha=0.5)\n",
    "\n",
    "# show the results\n",
    "show(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "  <div class=\"bk-root\" id=\"1a4a5ec2-9167-4b2f-ab12-bb52c4629f35\" data-root-id=\"1740\"></div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function embed_document(root) {\n",
       "    \n",
       "  var docs_json = {\"7178eca5-a936-490e-93be-712eb62e4814\":{\"roots\":{\"references\":[{\"attributes\":{\"below\":[{\"id\":\"1749\"}],\"center\":[{\"id\":\"1752\"},{\"id\":\"1756\"}],\"left\":[{\"id\":\"1753\"}],\"plot_height\":400,\"plot_width\":400,\"renderers\":[{\"id\":\"1774\"},{\"id\":\"1779\"}],\"title\":{\"id\":\"1815\"},\"toolbar\":{\"id\":\"1764\"},\"toolbar_location\":null,\"x_range\":{\"id\":\"1741\"},\"x_scale\":{\"id\":\"1745\"},\"y_range\":{\"id\":\"1743\"},\"y_scale\":{\"id\":\"1747\"}},\"id\":\"1740\",\"subtype\":\"Figure\",\"type\":\"Plot\"},{\"attributes\":{\"formatter\":{\"id\":\"1818\"},\"ticker\":{\"id\":\"1754\"}},\"id\":\"1753\",\"type\":\"LinearAxis\"},{\"attributes\":{},\"id\":\"1818\",\"type\":\"BasicTickFormatter\"},{\"attributes\":{},\"id\":\"1743\",\"type\":\"DataRange1d\"},{\"attributes\":{\"axis\":{\"id\":\"1753\"},\"dimension\":1,\"ticker\":null,\"visible\":false},\"id\":\"1756\",\"type\":\"Grid\"},{\"attributes\":{},\"id\":\"1754\",\"type\":\"BasicTicker\"},{\"attributes\":{\"data\":{\"text\":[\"(0, 0)\",\"(0, -1)\",\"(0, 1)\",\"(-1, 0)\",\"(-1, 1)\",\"(1, -1)\",\"(1, 0)\"],\"x\":{\"__ndarray__\":\"AAAAAAAAAACqTFjoerbrv6pMWOh6tus/qkxY6Hq2+7+qTFjoerbrv6pMWOh6tus/qkxY6Hq2+z8=\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[7]},\"y\":{\"__ndarray__\":\"AAAAAAAAAIAAAAAAAAD4PwAAAAAAAPi/AAAAAAAAAIAAAAAAAAD4vwAAAAAAAPg/AAAAAAAAAIA=\",\"dtype\":\"float64\",\"order\":\"little\",\"shape\":[7]}},\"selected\":{\"id\":\"1822\"},\"selection_policy\":{\"id\":\"1823\"}},\"id\":\"1776\",\"type\":\"ColumnDataSource\"},{\"attributes\":{\"active_drag\":\"auto\",\"active_inspect\":\"auto\",\"active_multi\":null,\"active_scroll\":\"auto\",\"active_tap\":\"auto\",\"tools\":[{\"id\":\"1757\"},{\"id\":\"1758\"},{\"id\":\"1759\"},{\"id\":\"1760\"},{\"id\":\"1761\"},{\"id\":\"1762\"}]},\"id\":\"1764\",\"type\":\"Toolbar\"},{\"attributes\":{},\"id\":\"1758\",\"type\":\"WheelZoomTool\"},{\"attributes\":{\"fill_alpha\":{\"value\":0.1},\"fill_color\":{\"field\":\"fill_color\"},\"line_alpha\":{\"value\":0.1},\"line_color\":{\"value\":\"white\"},\"q\":{\"field\":\"q\"},\"r\":{\"field\":\"r\"}},\"id\":\"1773\",\"type\":\"HexTile\"},{\"attributes\":{},\"id\":\"1757\",\"type\":\"PanTool\"},{\"attributes\":{\"overlay\":{\"id\":\"1763\"}},\"id\":\"1759\",\"type\":\"BoxZoomTool\"},{\"attributes\":{\"text_align\":\"center\",\"text_baseline\":\"middle\",\"text_color\":{\"value\":\"black\"},\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"1777\",\"type\":\"Text\"},{\"attributes\":{},\"id\":\"1760\",\"type\":\"SaveTool\"},{\"attributes\":{},\"id\":\"1741\",\"type\":\"DataRange1d\"},{\"attributes\":{},\"id\":\"1761\",\"type\":\"ResetTool\"},{\"attributes\":{\"source\":{\"id\":\"1771\"}},\"id\":\"1775\",\"type\":\"CDSView\"},{\"attributes\":{\"data_source\":{\"id\":\"1771\"},\"glyph\":{\"id\":\"1772\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"1773\"},\"selection_glyph\":null,\"view\":{\"id\":\"1775\"}},\"id\":\"1774\",\"type\":\"GlyphRenderer\"},{\"attributes\":{\"source\":{\"id\":\"1776\"}},\"id\":\"1780\",\"type\":\"CDSView\"},{\"attributes\":{\"text_align\":\"center\",\"text_alpha\":{\"value\":0.1},\"text_baseline\":\"middle\",\"text_color\":{\"value\":\"black\"},\"x\":{\"field\":\"x\"},\"y\":{\"field\":\"y\"}},\"id\":\"1778\",\"type\":\"Text\"},{\"attributes\":{\"data_source\":{\"id\":\"1776\"},\"glyph\":{\"id\":\"1777\"},\"hover_glyph\":null,\"muted_glyph\":null,\"nonselection_glyph\":{\"id\":\"1778\"},\"selection_glyph\":null,\"view\":{\"id\":\"1780\"}},\"id\":\"1779\",\"type\":\"GlyphRenderer\"},{\"attributes\":{},\"id\":\"1820\",\"type\":\"Selection\"},{\"attributes\":{},\"id\":\"1821\",\"type\":\"UnionRenderers\"},{\"attributes\":{\"text\":\"\"},\"id\":\"1815\",\"type\":\"Title\"},{\"attributes\":{\"bottom_units\":\"screen\",\"fill_alpha\":0.5,\"fill_color\":\"lightgrey\",\"left_units\":\"screen\",\"level\":\"overlay\",\"line_alpha\":1.0,\"line_color\":\"black\",\"line_dash\":[4,4],\"line_width\":2,\"right_units\":\"screen\",\"top_units\":\"screen\"},\"id\":\"1763\",\"type\":\"BoxAnnotation\"},{\"attributes\":{\"fill_alpha\":{\"value\":0.5},\"fill_color\":{\"field\":\"fill_color\"},\"line_alpha\":{\"value\":0.5},\"line_color\":{\"value\":\"white\"},\"q\":{\"field\":\"q\"},\"r\":{\"field\":\"r\"}},\"id\":\"1772\",\"type\":\"HexTile\"},{\"attributes\":{\"data\":{\"fill_color\":[\"firebrick\",\"firebrick\",\"firebrick\",\"navy\",\"navy\",\"navy\",\"navy\"],\"q\":{\"__ndarray__\":\"AAAAAAAAAAAAAAAA//////////8BAAAAAQAAAA==\",\"dtype\":\"int32\",\"order\":\"little\",\"shape\":[7]},\"r\":{\"__ndarray__\":\"AAAAAP////8BAAAAAAAAAAEAAAD/////AAAAAA==\",\"dtype\":\"int32\",\"order\":\"little\",\"shape\":[7]}},\"selected\":{\"id\":\"1820\"},\"selection_policy\":{\"id\":\"1821\"}},\"id\":\"1771\",\"type\":\"ColumnDataSource\"},{\"attributes\":{},\"id\":\"1747\",\"type\":\"LinearScale\"},{\"attributes\":{},\"id\":\"1822\",\"type\":\"Selection\"},{\"attributes\":{\"formatter\":{\"id\":\"1816\"},\"ticker\":{\"id\":\"1750\"}},\"id\":\"1749\",\"type\":\"LinearAxis\"},{\"attributes\":{},\"id\":\"1816\",\"type\":\"BasicTickFormatter\"},{\"attributes\":{},\"id\":\"1823\",\"type\":\"UnionRenderers\"},{\"attributes\":{},\"id\":\"1762\",\"type\":\"HelpTool\"},{\"attributes\":{\"axis\":{\"id\":\"1749\"},\"ticker\":null,\"visible\":false},\"id\":\"1752\",\"type\":\"Grid\"},{\"attributes\":{},\"id\":\"1745\",\"type\":\"LinearScale\"},{\"attributes\":{},\"id\":\"1750\",\"type\":\"BasicTicker\"}],\"root_ids\":[\"1740\"]},\"title\":\"Bokeh Application\",\"version\":\"2.2.3\"}};\n",
       "  var render_items = [{\"docid\":\"7178eca5-a936-490e-93be-712eb62e4814\",\"root_ids\":[\"1740\"],\"roots\":{\"1740\":\"1a4a5ec2-9167-4b2f-ab12-bb52c4629f35\"}}];\n",
       "  root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
       "\n",
       "  }\n",
       "  if (root.Bokeh !== undefined) {\n",
       "    embed_document(root);\n",
       "  } else {\n",
       "    var attempts = 0;\n",
       "    var timer = setInterval(function(root) {\n",
       "      if (root.Bokeh !== undefined) {\n",
       "        clearInterval(timer);\n",
       "        embed_document(root);\n",
       "      } else {\n",
       "        attempts++;\n",
       "        if (attempts > 100) {\n",
       "          clearInterval(timer);\n",
       "          console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
       "        }\n",
       "      }\n",
       "    }, 10, root)\n",
       "  }\n",
       "})(window);"
      ],
      "application/vnd.bokehjs_exec.v0+json": ""
     },
     "metadata": {
      "application/vnd.bokehjs_exec.v0+json": {
       "id": "1740"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "\n",
    "from bokeh.io import output_file, show\n",
    "from bokeh.plotting import figure\n",
    "from bokeh.util.hex import axial_to_cartesian\n",
    "\n",
    "output_file(\"./CodeOUtputs/hex_coords.html\")\n",
    "\n",
    "q = np.array([0,  0, 0, -1, -1,  1, 1])\n",
    "r = np.array([0, -1, 1,  0,  1, -1, 0])\n",
    "\n",
    "p = figure(plot_width=400, plot_height=400, toolbar_location=None)\n",
    "p.grid.visible = False\n",
    "\n",
    "p.hex_tile(q, r, size=1, fill_color=[\"firebrick\"]*3 + [\"navy\"]*4,\n",
    "           line_color=\"white\", alpha=0.5)\n",
    "\n",
    "x, y = axial_to_cartesian(q, r, 1, \"pointytop\")\n",
    "\n",
    "p.text(x, y, text=[\"(%d, %d)\" % (q,r) for (q, r) in zip(q, r)],\n",
    "       text_baseline=\"middle\", text_align=\"center\")\n",
    "\n",
    "show(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "\n",
       "  <div class=\"bk-root\" id=\"e6535b11-8a1d-4080-80d5-c9ac84e4d3bc\" data-root-id=\"2002\"></div>\n"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/javascript": [
       "(function(root) {\n",
       "  function embed_document(root) {\n",
       "    \n",
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       "  var render_items = [{\"docid\":\"d45c1e0c-e958-41a8-8a6e-18dbdec07330\",\"root_ids\":[\"2002\"],\"roots\":{\"2002\":\"e6535b11-8a1d-4080-80d5-c9ac84e4d3bc\"}}];\n",
       "  root.Bokeh.embed.embed_items_notebook(docs_json, render_items);\n",
       "\n",
       "  }\n",
       "  if (root.Bokeh !== undefined) {\n",
       "    embed_document(root);\n",
       "  } else {\n",
       "    var attempts = 0;\n",
       "    var timer = setInterval(function(root) {\n",
       "      if (root.Bokeh !== undefined) {\n",
       "        clearInterval(timer);\n",
       "        embed_document(root);\n",
       "      } else {\n",
       "        attempts++;\n",
       "        if (attempts > 100) {\n",
       "          clearInterval(timer);\n",
       "          console.log(\"Bokeh: ERROR: Unable to run BokehJS code because BokehJS library is missing\");\n",
       "        }\n",
       "      }\n",
       "    }, 10, root)\n",
       "  }\n",
       "})(window);"
      ],
      "application/vnd.bokehjs_exec.v0+json": ""
     },
     "metadata": {
      "application/vnd.bokehjs_exec.v0+json": {
       "id": "2002"
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "from bokeh.plotting import figure, output_file, show\n",
    "from bokeh.sampledata.iris import flowers #burdan ilgili datayı alıyoruz\n",
    "\n",
    "colormap = {'setosa': 'red', 'versicolor': 'green', 'virginica': 'blue'}\n",
    "colors = [colormap[x] for x in flowers['species']]\n",
    "\n",
    "p = figure(title = \"Iris Morphology\")\n",
    "p.xaxis.axis_label = 'Petal Length'\n",
    "p.yaxis.axis_label = 'Petal Width'\n",
    "\n",
    "p.circle(flowers[\"petal_length\"], flowers[\"petal_width\"],\n",
    "         color=colors, fill_alpha=0.2, size=10)\n",
    "\n",
    "output_file(\"./CodeOUtputs/iris.html\", title=\"iris.py example\")\n",
    "\n",
    "show(p)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
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