02. Activation Functions/05. ISRU/05. ISRU - Pytorch.ipynb

{
  "cells": [
    {
      "cell_type": "code",
      "execution_count": 1,
      "metadata": {},
      "outputs": [],
      "source": [
        "import torch\n",
        "import matplotlib.pyplot as plt"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "dRW8XFq59RaM"
      },
      "source": [
        "## __Defining Inverse Square Root Linear Unit function__"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 2,
      "metadata": {},
      "outputs": [],
      "source": [
        "def isru(x, alpha = 1.0):\n",
        "    return x/(torch.sqrt(1 + alpha * torch.pow(x, 2)))"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 3,
      "metadata": {},
      "outputs": [],
      "source": [
        "xs = torch.arange(-10, 10, 0.1)\n",
        "ys = isru(xs)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 4,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
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          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "plt.plot(xs, ys)\n",
        "plt.xlabel('Values of x')\n",
        "plt.ylabel('Values of ISRU of x')\n",
        "plt.title('ISRU Function')\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## __Lets see how ISRU changes as we change alpha paramter__"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 5,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
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\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "alphas = torch.arange(0.1, 1.0, 0.1)\n",
        "plt.figure(figsize = (10, 7))\n",
        "for alpha in alphas:\n",
        "    plt.plot(xs, isru(xs, alpha), label = f'Alpha: {alpha:.1f}')\n",
        "plt.legend()\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "So as we increases alpha the range output value shrinks within fixed intervals"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "4cIIBfRD_HB3"
      },
      "source": [
        "## __Now defining derivative of isru funciton__"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 6,
      "metadata": {},
      "outputs": [],
      "source": [
        "def isru_derivative(x, alpha = 1.0):\n",
        "    return torch.pow(1.0/torch.sqrt(1.0 + alpha * torch.pow(x, 2)), 2)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 7,
      "metadata": {},
      "outputs": [],
      "source": [
        "dxs = torch.arange(-10, 10, 0.1)\n",
        "dys = isru_derivative(xs)"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 8,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
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          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "plt.plot(dxs, dys)\n",
        "plt.xlabel('Values of x')\n",
        "plt.ylabel('Values of derivatives of ISRU of x')\n",
        "plt.title('ISRU Derivative')\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "## __Lets see how the derivative of ISRU changes as we change alpha paramter__"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 9,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
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\n"
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          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "alphas = torch.arange(0.1, 1.0, 0.1)\n",
        "plt.figure(figsize = (10, 7))\n",
        "for alpha in alphas:\n",
        "    plt.plot(xs, isru_derivative(xs, alpha), label = f'Alpha: {alpha:.1f}')\n",
        "plt.legend()\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "colab_type": "text",
        "id": "oHyKa2Uh_vqg"
      },
      "source": [
        "## __Plotting ISRU function and it's derivative together for alpha = 1.0__"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 10,
      "metadata": {},
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
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eHka4COFhlCYl4aUJUdn9YWHinite53odL3d9uHt+WBhe6+6r137v5KokEbMn9msW6gnce8CtIvIGThPpQVXdKSJ7ge4i0gXYAVwDjD/dm/laUxYoX331FW3atKFdu3Z4PB5WrVpFRkZGmXNiY2N54oknSE9P5+677yYxMZG2bdsyb948hg0bRl5eHnPmzOG2226r8X6tW7dm3bp19OjRgxkzZpCQkFDt+cOHD+eBBx5g/PjxZZpQExISOHz4cIXzBwwYwG233ca+ffto0aIFU6dO5de//nXtvinGhKJZv4cD38P1s08mb+BUGVx4l1MD9787oEM/p1nVBESxR9l/rID9RwvIPXryNc9rOZBfyOHjhRzKLyxN2vILa+6rKAJxkeHERkUQGxVGXGQEsVHhxEaG0yw2snQ9Lso9x12PiQwjOiKc6MgwosLD3IQsnKiIsNLkLCrCORYdGUZ0+Mljwa7RMfVLUBM4EZkKDAFaikg2cC8QCaCqzwKzgFHAJuAYcL17rEhEbgU+BMKBl1R1TZ1/AX62Z88efv7zn3PixAkA+vfvz6233lrhvLZt2zJu3Diefvpp/vSnP/Hqq6/yq1/9ijvuuAOAe++9l27dutV4v0cffZTLL7+cDh06kJaWxpEjR6o9f8SIEaxcuZK+ffsSFRXFqFGjePjhh5k4cSK33HILsbGxLF68uEycjzzyCEOHDkVVGTVqFGPG1PtnTUxjt3o6rHoDhvwfdBxY8Xh4BPzweXjmPHj753DDRxAWXvdx1mMej7Lv6Al2HTzOroPH2X3oOLsOHWfXwROl6/uOnOBgfiFVVfQnREeQ2CSK5nFRNI2JoG2zGBKiI0mIiSAhpuTVWW9abl98dATREWFWC2RCmlTXzNXQ9O3bV0uejiyxbt06zjrrrCBFZBoj+52rx4qL4J+9ITYRbpznJGtVyXoDZtwMP34Fzq7dQ0eNwfHCYrL35/N93lG+zz3GtrxjfJ97jO/znOVEUdkmyfAwIblJNK2bxdCmaTTJCdEkxkeTGBdJYpNokuKjaBEXRVIT5zUqItijZBlz+kRkhar2rexYqDehGmNM6Fgzw2k6HfFo9ckbQPqP4dM/w2d/h9QxTptcI1RU7OG7vUdZv+sQG3cf4dvdh9m45wjbco/i3ac+LiqcjolxdGkZz5AeyXRIjKNN0xjaNIuhTdMYkppEWxOjMV4sgTPGGF+owuf/gJY94MyRNZ8fFg7nToIPfgNbPoWuQwIdYdCpKt/tPcqq7AOsyj7I6h0HWZNzkOOFTm1aeJjQKSmOnm0SuCKjLV2S4+mYGE/HxDhaNomyJktjasESOGOM8cWmebB7NYz5lzOWgC96jYNPHoHPnmiQCZyqsmnPEZZszmXJ5jyWbM4l92gBALGR4aS1b8r4/p1IT2lKzzZN6ZocT3SE9Qc0xh8sgTPGGF98/gQ0be80jfoqMgYG/gI+vg9yVkK7zICFV1eOFRSx8Nu9zF27h0+/3cO+I07C1q5ZDBf2SGZAl0R6d2xBt+Qm1uRpTABZAmeMMTXZmQVbF8HwhyAiqnbX9v0ZLPobLPlXvR3c98CxAmZ/s4u5a3fz2aZ9FBR5aBYbyZAeyZx3RksGdU0ipUWsNYEaU4csgTPGmJqsfB3Co6H3hNpfG9MM0q+ElVNh1OMQ09T/8QWAx6N88V0u05Zv58NvdlFQ7CGlRSwTBnTkktTW9OucSGS4PelpTLDYX18IKJlU3uPxMGnSJNLS0khPT6dfv35s2bIFgM6dO5Oenk5GRgYXXngh27ZtA2Dr1q2kpaWVKe++++7j8ccfr3CfvXv3MmDAAHr37s2iRYv8Fv+UKVPIyTk5EcaNN97I2rVr/VZ+ic6dO7Nv375aXXM6sTz88MNlts8999xTKsfUc0UFsPot6DESYlucWhm9xkNRPqx917+xBcDuQ8f5x8cbGfyXBVz74lIWfruX8QM68sGvz2fR5KHce8XZnNutpSVvxgSZ1cCFkGnTppGTk8OqVasICwsjOzub+Pj40uMLFiygZcuW3HvvvTz44IM8//zztSp/3rx59OzZk1deecWvcU+ZMoW0tDTatWsHwAsvvODX8k9VcXHxacXy8MMP84c//KF0+4svvvBHWKa+2TQXjuVC5mlM9pLSF5LOgKyp0Ocn/ovNjzbtOcLzCzcz4+sdFBR7OO+MJCaP6Mnw1NbERNqDB8aEGvsIFUJ27txJ27ZtCXOfcEtJSaFFi4qf+AcNGsSOHTtqVfbKlSuZPHkys2bNIjMzk/z8/NKaP4Dp06czceJEACZOnMikSZM499xz6dq1K9OnTy8977HHHiM9PZ1evXpx1113MX36dJYvX86ECRNKyx0yZAglAyZPnTqV9PR00tLSuPPOO0vLadKkCX/84x/p1asXAwcOZPfu3RVizs3NZfjw4fTu3Zubb765zNyq//3vf+nfvz+ZmZncfPPNFBcXl5Z7zz33MGDAABYvXlwayzPPPMPkyZNLr58yZUrptF5jx47lnHPO4eyzz+a555w+SnfddRf5+flkZmYyYcKE0rIBrr76ambNmlVa1sSJE3n77bcpLi7m97//Pf369SMjI4N///vftfoZmRC18nWIb+XMbXqqRJwnUrd9Dnlb/BebH2zLPcrt01Zyyd8/ZebKHVzdrwOf/G4Ir904kNG92lnyZkyIsgQuhFx11VW8//77ZGZmcscdd/D1119Xet6cOXMYO7Z2I7tnZmbywAMPcPXVV7Ny5UpiY2OrPX/nzp189tlnfPDBB9x1110AzJ49m5kzZ7J06VKysrKYPHkyV155JX379uW1116rUG5OTg533nkn8+fPZ+XKlSxbtoyZM2cCcPToUQYOHEhWVhaDBw+utDbx/vvv5/zzz+frr79m9OjRfP/994Azk8G0adP4/PPPWblyJeHh4bz22mul5aalpbF06VLOP//80rKuvPJK3nnnndLtadOmcfXVzkTjL730EitWrGD58uU8+eST5Obm8uijjxIbG8vKlStLyy5xzTXXMG3aNAAKCgqYN28eo0aN4sUXX6RZs2YsW7aMZcuW8fzzz5c2gZt66mgufPshZFxV88C9Nel1DSDODA0h4OCxQu57bw3D/vops7/ZyU0XdOWLuy7i/41No3PL+JoLMMYElTWhept9F+xa7d8y26TDyEd9OjUlJYUNGzYwf/585s+fz7Bhw3jrrbcYNsz55D906FB2795Nq1atePDBBwGqfOrrdJ8GGzt2LGFhYaSmppbWjn388cdcf/31xMXFAZCYmFhtGcuWLWPIkCEkJzuTfU+YMIGFCxcyduxYoqKiuPzyywE455xzmDt3boXrFy5cWJp0XXbZZaW1kfPmzWPFihX069cPgPz8fFq1agVAeHg4P/rRjyqUlZycTNeuXVmyZAndu3dnw4YNnHfeeQA8+eSTzJgxA4Dt27ezceNGkpKSqvy6Ro4cyaRJkzhx4gRz5sxh8ODBxMbG8tFHH7Fq1arSGsuDBw+yceNGunTpUu33yYSwb6aDp9CpPTtdzVKgy2CnGfXCO30fS87PPB7lrRXb+fOcDRw4VsA1/Tty27DutG4aE5R4jDGnxhK4EBMdHc3IkSMZOXIkrVu3ZubMmaUJ3IIFC4iPj2fixIncc889/O1vfyMpKYn9+/eXKSMvL8+npME7yTt+/HiFOEqUNF2qaq0Sw+rm2Y2MjCwtKzw8nKKiohpj9C73uuuu45FHHqlwLCYmhvDwypt8rr76at5880169uzJD37wA0SETz75hI8//pjFixcTFxfHkCFDKnwvKrvHkCFD+PDDD5k2bRrjxo0rjeuf//wnl156abXXm3pk1ZvOh7A2aTWf64vM8c78qNlfQseB/imzFnYcyGfy9Cw+35RL304tuH9Mf85u16zO4zDGnD5L4Lz5WFMWKF999RVt2rShXbt2eDweVq1aRUZGRplzYmNjeeKJJ0hPT+fuu+8mMTGRtm3bMm/ePIYNG0ZeXh5z5szhtttuq/F+rVu3Zt26dfTo0YMZM2aQkJBQ7fnDhw/ngQceYPz48cTFxZGXl0diYiIJCQkcPny4wvkDBgzgtttuY9++fbRo0YKpU6eW9jvzxeDBg3nttde4++67mT17dmmiOmzYMMaMGcPtt99Oq1atyMvL4/Dhw3Tq1Kna8n74wx/y0EMP0alTJ/785z8DTi1ZixYtiIuLY/369SxZsqT0/MjISAoLC4mMjKxQ1jXXXMMLL7zA8uXLmTJlCgCXXnopzzzzDBdddBGRkZF8++23tG/fvsyDKKYeOZgNO5bDsHv8V2aPURAeBWvfq/ME7p2vsrnn3TWoKg//IJ1x/TvYuG3G1GPWBy6E7NmzhyuuuIK0tDQyMjKIiIjg1ltvrXBe27ZtGTduHE8//TQAr776Kg8++CCZmZlcdNFF3HvvvXTr1q3G+z366KNcfvnlXHTRRbRt27bG80eMGMHo0aPp27cvmZmZpUOVTJw4kVtuuaX0IQbvOB955BGGDh1Kr1696NOnD2PGjPH128G9997LwoUL6dOnDx999BEdO3YEIDU1lQcffJDhw4eTkZHBJZdcws6dO2ssr0WLFqSmprJt2zb69+9f+jUVFRWRkZHBn/70JwYOPPlP9aabbiIjI6P0IQZvw4cPZ+HChVx88cVERTkDu954442kpqbSp08f0tLSuPnmm6usWTT1wLr3ndezfP+drVFMU+g61Cm7mhpqfzpeWMz/vbOK376ZRWq7psz5zWDGD+hoyZsx9ZxU18zV0PTt21dLno4ssW7dOs4666wgRWQaI/udqydeGgnHD8AvF/u33K//C+/+Cn6+ANr38W/Z5ew8mM9Nr65g9Y6D/HJIN+4Y3sOmtzKmHhGRFarat7JjVgNnjDHlHd4N3y+Gs0b7v+weo0DCYd17/i/by4Zdh/nB01+wZd9RnvvJOUwe0dOSN2MaEEvgjDGmvPUfAAqpAUjg4hKhywVOP7gAtYAs2ZzLlc9+gUeVN28exPCz2wTkPsaY4LEEzhhjylv3njNzQqvUwJSfOgbyvoM9/p9ybvF3uVz30pe0bhrDO788l9R29WPuVWNM7VgCR/XDXRjjT/a7Vg8cy4Mti5zm00B19O95OSBOLZwfLduaxw2vLKNTUhzTbhpISos4v5ZvjAkdjT6Bi4mJITc31/6xmoBTVXJzc4mJsQFTQ9qGWaDFgWk+LdGkFXQ616/94FZlH+D6l5fRplkMr904kKQm0TVfZIyptxr9OHApKSlkZ2ezd+/eYIdiGoGYmBhSUlKCHYapztp3oXlHaJsZ2PucNRrm3An7NkLL7qdVVM6BfG54ZTnN4yJ5/caBJCdY8mZMQ9foE7jIyEib6sgY4zh+EL5bAANuDlzzaYmzrnASuLXvwuDfnXIxR08UceMry8kvKOa1GwfQppnV8BrTGAS1CVVERojIBhHZJCJ3VXL89yKy0l2+EZFiEUl0j20VkdXuseUVSzfGmFr69kNn7tNADB9SXrP20L7vaTWjqiq3T1vJ+l2HeGp8b85sXf1sKsaYhiNoCZyIhANPAyOBVGCciJR55EtV/6KqmaqaCfwf8Kmq5nmdMtQ9Xukgd8YYUytr34WEtpDSr27ulzoadmbB/q2ndPnLn2/lo7W7+cOosxjSo5V/YzPGhLRaJXAiEiYi/nomvT+wSVU3q2oB8AZQ3Zw144Cpfrq3McaUVXAUNs1znhANq6PPtiU1fSXTdtXCNzsO8ujs9Vx8VmtuON+6gRjT2NT4LiUir4tIUxGJB9YCG0Tk9364d3tgu9d2truvshjigBHA2167FfhIRFaIyE1V3UREbhKR5SKy3B5UMMZUaeNcKMp3xmirK4ldoE1GrYcTOXqiiElTvyYxPoq/XJlh85oa0wj58jEzVVUPAWOBWUBH4Cd+uHdl7zhVjeVxBfB5uebT81S1D04T7K9EZHBlF6rqc6raV1X7Jicnn17ExpiGa917ENfSGd6jLqWOhuwv4VCOz5c8Ons9W3KP8verM2kRHxXA4IwxocqXBC5SRCJxErh3VbWQqhOt2sgGOnhtpwBVvYNdQ7nmU1XNcV/3ADNwmmSNMab2Co87DzD0vAzCwuv23me5NX7rPvDp9BXb9vPfpc1G038AACAASURBVNuYeG5nBnVLCmBgxphQ5ksC929gKxAPLBSRTsAhP9x7GdBdRLqISBROklahHUFEmgEXAu967YsXkYSSdWA48I0fYjLGNEbfzYeCI3XbfFoi+UxIPst5gKIGhcUe/jhjNW2axnDH8B51EJwxJlTVmMCp6pOq2l5VR6ljGzD0dG+sqkXArcCHwDrgTVVdIyK3iMgtXqf+APhIVY967WsNfCYiWcCXwP9Udc7pxmSMaaTWvgsxzaFLpT0xAi91DGz7HI7sqfa0FxZtYf2uw9w/+myaRDf6YTyNadRqfAcQkdbAw0A7VR3pDvUxCHjxdG+uqrNw+tV573u23PYUYEq5fZuBXqd7f2OMoegEbJjtDKwbHhmcGFLHwKePOk+j9ruh0lN2HsznH/O+5dKzWzP87DZ1HKAxJtT40oQ6BaeWrJ27/S3wm0AFZIwxdWrzp3DiYHCaT0u0OguSulfbjPrE3I14PHD3ZalVnmOMaTx8SeBaquqbgAdKmz6LAxqVMcbUlbXvQnQz6Hph8GIQcRLIrZ/B0X0VDm/cfZi3VmznJ4M60SExLggBGmNCjS8J3FERScJ98lREBgIHAxqVMcbUheJCWP8B9BgJEUGeAD51DGgxrP9fhUOPfbiB+KgIfjX0jCAEZowJRb4kcHfgPB3aTUQ+B14Ffh3QqIwxpi5sWQjHDwS3+bREm3Ro0aVCM+ryrXnMXbubW4Z0I9HGfDPGuGp8iEFVV4jIhUAPnMF3N7hjwRljTP229l2IagLdLgp2JCebURc/BcfyIC4RgCc+3khyQjTXn9c5uPEZY0KKL1NpZQGTgeOq+o0lb8aYBqG4yGk+PXMERMYEOxpH6hjwFDlPxQKrsw/y2aZ93HB+F+KibNgQY8xJvjShjgaKgDdFZJmI/E5EOgY4LmOMCaxtn8Ox3NBoPi3Rrjc061jajPrswu9IiI5g/AB7yzXGlOXLQL7bVPUxVT0HGA9kAFsCHpkxxgTS2nchMg7OuDjYkZwk4syN+t18vs/ZyezVO5kwsBNNY4I0Pp0xJmT5UgOHiHQWkcnAG0BPnCZVY4ypnzzFzqC53YdDVIgNy5E6FjyFLJnzGhFhYfzM+r4ZYyrhy0wMS4FI4C3gx+4sCMYYU399vwSO7gmt5tMS7c+hOKEdiVtn86NzhtOqaYj0zzPGhBRfesVep6rrAx6JMcbUlbXvQkSMUwMXasLCWNvsQi44NJ3O/ZKDHY0xJkRV2YQqIte6q6NE5LfllzqKzxhj/MtTDOveg27DILpJsKOpwONRntuXRrQUcsb+z4IdjjEmRFXXBy7efU2oZAm9dz1jjPHF1s/g8E5IvzLYkVRq8eZcPjjQiWMxbWD1W8EOxxgToqpsQlXVf7urH6vq597HROS8gEZljDGBsupNiEpwps8KQa8v/Z7mcdFE9b4aljzlzI0a3zLYYRljQowvT6H+08d9xhgT2grznf5vqWMgMjbY0VSw9/AJPlyzix/1SSEi8xpnbtRv3gl2WMaYEFRlDZyIDALOBZLL9XlrCoQHOjBjjPG7DbOh4DBkXBXsSCr11ortFHmUcQM6QnITaJ0Oq6bBgJuCHZoxJsRUVwMXhdPXLYKy/d8OAaHZecQYY6qz6k1IaAedzw92JBWoKm+vyKZ/50S6JbvdjDOugh3LIfe74AZnjAk51fWB+xT4VESmqOq2OozJGGP872gubJoLA38JYaHXiLB25yG+23uUn53f5eTO9Cth7j1O4jn0/4IXnDEm5PjSB+6YiPxFRGaJyPySJeCRGWOMP615x5koPuPqYEdSqfdW5hARJoxKa3tyZ9N20GUwrHoDPJ7gBWeMCTm+JHCvAeuBLsD9wFZgWQBjMsYY/1KFr16BNhnQJi3Y0VTg8SjvZ+Uw+MxkWsRHlT2YOQH2b4VtNiacMeYkXxK4JFV9EShU1U9V9WfAwADHZYwx/rNzJexaDedcF+xIKrV8235yDh5nTGa7igdTR0NMM/jq1boPzBgTsnxJ4Ard150icpmI9AZS/HFzERkhIhtEZJOI3FXJ8SEiclBEVrrLPb5ea4wxpVa8AhGxkBaaz1+9l7WDmMgwLj6rdcWDkbFOs+/a9+BYXt0HZ4wJSb4kcA+KSDPgDuB3wAvA7ad7YxEJB54GRgKpwDgRSa3k1EWqmukuD9TyWmNMY1dwFFZPh7PHQmzzYEdTQWGxh1mrd3HxWa2Jj67iubI+P4XiE87DDMYYg28J3FJVPaiq36jqUFU9R1Xf88O9+wObVHWzqhYAbwBj6uBaY0xjsmamM/Zbn9BsPl38XS55RwsY3auS5tMSbdKhXR+nH59q3QVnjAlZviRwX4jIRyJyg4i08OO92wPbvbaz3X3lDRKRLBGZLSJn1/JaY0xj99Ur0PJM6BiaXXc/Xreb2MhwBp+ZXP2JfX4Ke9bCjhV1E5gxJqTVmMCpanfgbuBsYIWIfCAi1/rh3lLZ7cptfwV0UtVeONN3zazFtc6JIjeJyHIRWb53795TDtYYUw/tXAXblzrJj1T2thFcqsrHa3dzQfeWxETWMDZd+pUQ1QSWvVA3wRljQpovNXCo6peq+lucpss84BU/3Dsb6OC1nQLklLvvIVU94q7PAiJFpKUv13qV8Zyq9lXVvsnJNXzCNcY0LEv/DZFx0Nsfnzn9b03OIXIOHufi1EoeXigvOgEyx8M3b8ORPYEPzhgT0mpM4ESkqYhcJyKzgS+AnTiJ3OlaBnQXkS4iEgVcA5TpWycibUScj80i0t+NN9eXa40xjdzRfbD6Leh1DcT6s/eH/3y8bjcicFHPVr5d0P8mKC6A5S8HNjBjTMirciotL1k4TZcPqOpif91YVYtE5FbgQyAceElV14jILe7xZ3HmXP2FiBQB+cA1qqpApdf6KzZjTAOw4mXnyc0BtwQ7kip9vG43fTq2oGWTaN8uaNkdzrgElr8I598OEVE1X2OMaZB8SeC6ukmT37nNorPK7XvWa/0p4ClfrzXGGACKC2HZi9DtIkjuEexoKpVzIJ9vdhzirpE9a3fhwFvgvz+CNTOgV2hOC2aMCbwqEzgReUJVfwO8JyIVEjhVHR3QyIwx5lStfRcO74Qrngx2JFWat243QOWD91an2zDnqdqlz0DGVSH5cIYxJvCqq4H7j/v6eF0EYowxfqEKnz0BSd3hjIuDHU2V5q7bQ5eW8XRLjq/dhSIw8Bfwwe2wZSF0vTAwARpjQlqVDzGo6gp3xoOfu3OgllnqMEZjjPHdxo9g92q44LcQ5tOD9nXueGExSzfnMqRHMnIqNWi9xkOTNrDIPl8b01hV++6mqsVAsvukpzHGhDZVWPgXaN4R0n8c7GiqtHzrfk4UeRjc/RSHNoqMgXN/7dTAbf/Sv8EZY+oFXz6ebgU+F5E/ichvS5YAx2WMMbW3ZSFkL4PzfgPhkcGOpkqLNu4lMlwY0DXx1Avpez3EJsJCq4UzpjHyJYHLAT5wz03wWowxJrQs/IvTtJg5IdiRVGvRxn306diCuChfBgKoQlQ8DPolbPwQdmb5LzhjTL1Q47uHqt4PICLxqno08CEZY8wp2PoZbF0Ewx9ymhhD1N7DJ1i78xC/v9QPw5v0vwk+/ycseATGv3H65Rlj6g1fZmIYJCJrgXXudi8R+VfAIzPGGF+pwtx7oGl76HdDsKOp1hff7QPg/DNann5hMc3g/Nvg29mwzW/jrBtj6gFfmlCfAC7FmcIKVc0CBgcyKGOMqZW178KOFTD0DxAZG+xoqrVo4z6ax0WS1r6Zfwoc8Aun2XjuPU4ia4xpFHydzH57uV3FAYjFGGNqr7gQ5j0AyWdBr3HBjqZaqsqijXs5r1tLwsP8NABvVBwM/T/I/hLWf+CfMo0xIc+XBG67iJwLqIhEicjvcJtTjTEm6FZMgbzv4OL7ICw8yMFUb9OeI+w+dIILuvuh+dRb5rXO7Awf3+8ktMaYBs+XBO4W4FdAeyAbyHS3jTEmuI7mwoKHoNN5cOalwY6mRp9vcvq/neeP/m/ewiPg4vshdyMs/bd/yzbGhCRfnkLdB4T2M/nGmMZp3n1w/BCMerxezAm6dEse7ZvH0iExzv+F9xgJ3YfDJ49A2g+haTv/38MYEzKqm8z+n0CVPWJVdVJAIjLGGF9sXwZfvQqDboXWqcGOpkaqypdb8rjwzFOcfaEmIjDyz/D0QPjwj/DjlwNzH2NMSKiuCXU5sAKIAfoAG90lE3uIwRgTTMVF8L/bIaEtDLkr2NH45Lu9R8g9WnB6sy/UJLGrMwfsmnfgu/mBu48xJuiqm8z+FVV9BegODFXVf6rqP4FhOEmcMcYExxdPwq7VMOIRiK4fE8Ms2ZwHQP8uSYG90Xm/cRK5938DJw4H9l7GmKDx5SGGdpSdOquJu88YY+re7jWw4GE4azSkjg12ND5buiWPVgnRdE4KQP83b5ExMOZpOPA9fPSnwN7LGBM0viRwjwJfi8gUEZkCfAU8HNCojDGmMkUF8M7NENscLv97vXhwAUr6v+UyoGsSUhcxdzoXzr0VVrwMGz8O/P2MMXWuxgROVV8GBgAz3GWQ27RqjDF169NHYfdquOJJiPfzUBwBtC33GLsPnWBAlwD2fytv6N3O4Mbv3QrH8uruvsaYOuHrTAy7VPVdd9kV6KCMMaaCjR/Dor9B72uh56hgR1MrS7fkAtRtAhcZAz94Fo7lwjs3gcdTd/c2xgScTwmcMcYE1YHt8M6N0PpsGPmXYEdTa0s355EUH8UZrZrU7Y3bZToPemyaC4v+Wrf3NsYElCVwxpjQVnQC3rrOGTrkqleduT/rmaVb8ujfJbFu+r+V1/cGSL/KmbHiuwV1f39jTEDUmMCJSDcRiXbXh4jIJBFp7o+bi8gIEdkgIptEpMJgTiIyQURWucsXItLL69hWEVktIitFZLk/4jHGhBhVeP822LECxj4NSd2CHVGt7T50nB0H8jmnU4vgBCACVzwByT1h+vWwb1Nw4jDG+JUvNXBvA8UicgbwItAFeP10bywi4cDTwEggFRgnIuWHU98CXKiqGcD/A54rd3yoqmaqat/TjccYE4I+fQyypsKQP0DqmGBHc0q+2rYfIHgJHEBUPIybChIOr10JR/cFLxZjjF/4ksB5VLUI+AHwhKreDrT1w737A5tUdbOqFgBvAGXeoVX1C1Xd724uAVL8cF9jTH2QNQ0+eRh6jYcLJwc7mlO2Ytt+oiLCOLtds+AGktgFxr0Bh3fCG+OhMD+48RhjTosvCVyhiIwDrgM+cPdF+uHe7YHtXtvZ7r6q3ADM9tpW4CMRWSEiN/khHmNMqFj/P3j3l9D5ArjiH/VmvLfKrPh+P71SmhEVEQJdjjv0gx8+B9u/hDd/6vQvNMbUS768o1wPDAIeUtUtItIF+K8f7l3ZO7JWeqLIUJwE7k6v3eepah+cJthficjgKq69SUSWi8jyvXv3nm7MxphA2zgX3rwO2mbCNa9DRFSwIzplxwuLWbPjEH06BrH5tLzUMU6fuI0fwfSfQXFhsCMyxpwCXxK4S1R1kqpOBVDVLYA/6t6zgQ5e2ylATvmTRCQDeAEYo6q5JftVNcd93YMzwHD/ym6iqs+pal9V7ZucnOyHsI0xAbPpY5h2LbROhWvfhpimwY7otKzJOUhBsYc+wez/VplzJjrDsaz/AN6+wZnhwhhTr/iSwF1Xyb6Jfrj3MqC7iHQRkSjgGuA97xNEpCPwDvATVf3Wa3+8iCSUrAPDgW/8EJMxJlhWT4fXr4GW3eEnM53psuq5Fe4DDCFVA1diwE1w6cOw9l2YejUUHA12RMaYWoio6oDb72080EVEvBOrBCC38qt8p6pFInIr8CEQDrykqmtE5Bb3+LPAPUAS8C93/KQi94nT1sAMd18E8LqqzjndmIwxQfLl8zDr984cnuOmQkyQO/z7yYpt++mUFEdyQnSwQ6ncoF9BdFN4fxK8MhrGvwnxScGOyhjjgyoTOOALYCfQEvAewvswsMofN1fVWcCscvue9Vq/Ebixkus2A73K7zfG1DPFhfDhH+DL5+DMkfDjlyEyNthR+YWq8tX3Bzj/jBCfs7XPTyC2hdMf7vmhzpOqrcuP6GSMCTVVNqGq6jZV/URVB6nqp17LV+6wIsYYc+qO5cF/f+gkb4NuhWteazDJG0D2/nz2Hj4Rev3fKnPW5XD9LCg6Di9e4jwFbIwJaVUmcCLymft6WEQOeS2HReRQ3YVojGlwti2GZy+A75fAmH/BpQ9BWHiwo/Krkv5v54Ri/7fKpPSFmz5x+iC+MR4+/KM93GBMCKuuBu589zVBVZt6LQmqWr8fDTPGBEdxESz8C0y5DMIj4WcfQu8JwY4qIFZuP0BsZDhntq7jCexPR9N2cP0cZ/7UxU/ByyMgb3OwozLGVCIERpY0xjQKe9Y5zXPzH4Szx8LNC6F9n2BHFTBZ2QdIT2lGRHg9e5uNjIHL/wZXvQq5m+CZ82DJM+DxBDsyY4yXevbOYoypdwrz4ZNH4d+D4cA2uPJl+NGL9X6Mt+oUFHlYk3OIzA71eCiU1DHwi8XQ+XyYc5dTG7fLRmsyJlRYAmeMCQxVWD8Lnh4AnzwCPS+HXy6FtB/W66mxfLFh12EKijxkpNTz4VCatXeGFhn7LOzb6CThs++E/P01X2uMCajqhhExxphTk70c5t4L2z6D5J7w0/eg64XBjqrOZGUfAKBXSj2ugSshApnj4MxLYcFDzlPDWW/ABXdA/5ucJldjTJ2rbiDfw1QxNymAPchgjKng+6Xw+ROwYRbEJ8Oox51pm8Ijgx1ZncrafoCk+ChSWjScYVGIS4TL/ur8PD++D+b+CZY+C+f+Gnr/BKLr0cMaxjQAVSZwqloyVdUDwC7gPzgT0E/AmY3BGGOczu3fzoHP/wHblziDwg75gzvKf+P8p56VfYCMlGZIQ2wqbpPuzFO7ZSEseNjpH/fJo05tXP+boInNOW1MXfClCfVSVR3gtf2MiCwFHgtQTMaY+uDEYfjmbecJxb3roVlHGPkY9L4WouKDHV3QHDlRxMY9RxiV3jbYoQRWl8HOsv1LJ3lf+Bh88SRkToB+N0Drs4MdoTENmi8JXLGITADewGlSHQcUBzQqY0xoUoVtX8DX/4W1M6HwGLROhx++4AwN0siaSivzzY6DqEKv+vwEam106O/MorH3WyeB+/o/sPxFaNfbSebTroTYRvK9MKYO+ZLAjQf+4S4KfO7uM8Y0BqqwdwOsew+ypjoDu0YlQPqPnb5PKX0b/FOltZG1vQE9wFAbyWfCmKfg4vth9VtOIve/O5wZHXpeDmk/gm5DG9R0acYEU40JnKpuBcYEPhRjTMhQhZyvYN37zpK7ydnf6TwYPBlSRzfqZtLqZGUfoENiLInxUcEOJTjik2DgLTDgZtiZ5dTWrn4LvpkOkfHQ/WLoeQWcORxi6vkwK8YEUY0JnIgkAz8HOnufr6o/C1xYxpg6d2QPbP4EvlsAmxfA4Z0g4dDlAhhwC/S8zJlqyVQra/tBendsZLVvlRGBdpnOcunDsHURrP8A1v8P1r4LYZHQcSB0HeLUzLXNbHDz4RoTSL40ob4LLAI+xvq+GdNwHN4N25c6E8pv/gT2rHH2x7ZwOqefOcJZ4hKDGmZ9svfwCXYcyOf68zoHO5TQEhEFZwxzllF/hexlsP59+O4TmP//nCWmufN71/kCp19d6zQIt6FKjamKL38dcap6Z8AjMcYEzokjsGet06S1/UsncTuwzTkWHg0dB8Cwe53akLa9rCbkFK0qGcC3sTzAcCrCwpzft47u4AZH9sDmT50PEZs/cfpagtPc2r6PU0vXro8zfEmzFOtvaYzLlwTuAxEZpaqzAh6NMeb0qMLhXbBrNexaBbu/cdZzv6N0XO4mraHDAGfMrg4DoG0GREQHNeyGIiv7IGECZ7ezcc591qQVZPzYWVThYLbzAaPkg8aiv4G6jT8xzZ1Ezntp2cOp4TOmkfElgbsN+IOInAAKcQbzVZuJwZggKsx3ngbN3eTMUZn7nbOeu7HsPJXNOzn/5NKvcv/hpUGzDlaLESBZ2w9wZusE4qKs6e+UiEDzDs6SfqWzr+Ao7F7jfCDZ5X4gWf4yFOU7x8MioEUXaNkdkrpBUndIOsPZjk+233XTYPnyFKrNumBMXSsqgEPZcGA7HNzu9fo97N/mrHvPdJfQ1vmnlTrWmXu0bYYzkKo95VdnVJWs7AOMOLtNsENpWKLinT5xHfqf3Ocpdj60lNQy525ytjfNg+ITJ8+LbgqJXZ2EsFlH97XDydfYFpbgmXrLp4+JItIC6A6UzlqsqgsDFZQxDVZRARzZ7SyHd1VcP7zr5HqZqYjFSdKad3D6BCVd69Q2tOwOid0a7ZRVoeT7vGMcOFZo/d/qQli4M+5c8pkna+rASewOZrsJnbvkbXYGGd40zxl42ltUAjRt63QraNIaEtpU/hrTzBI9E3J8GUbkRpxm1BRgJTAQWAxcFNjQjAlxRSfgWB7k51Xxur/s9rFcZ70CcZp6Etx/Iq3TnM7azTtA845OTUHT9tbPJ8RlZR8EICPFaj2DJiwcWnRyljOGlT2m6vwdHthWtlb78E7niewdy53XkqZZbxExEN/KeSI7LhHikiDWfS3ZV7Id28JJ+KKaOA9sGBMgvvaB6wcsUdWhItITuD+wYRkTIMVFUHgUCo45n8YLjznrBYeduT1PHIbjh9z1Q85SZrvk+KGKn+a9RcR6vam3cJoz45LcT/WtoUmbk6/xyTZcQgOQtf0AMZFhnNnaep2EJBFnkOH4JOfp1sqoOn/bh3fDkV3uq7t+dJ/zIexYHuRtcT6MHT9Y3Q2dJtyYpk5CV7Ie7W6XrruvkXFOc3HJ4r0dEWM1gKYCX/5rHFfV4yKCiESr6noR6eGPm4vICJwpusKBF1T10XLHxT0+CjgGTFTVr3y51tQDnmIoOu7UZBWdcPquFJ2ofLvSY8eh8LjTob+ypKzwqHPMe724wPf4ohLcN9cEZ4lp7tSGlbzhxjZ3E7TEiq82XVCjk7X9AGntmhEZbrUu9ZaIm1w1c5pna1JceLKmvaSG/Vie1we/Q06SV7J+KAdOrD+5T30cWlXCnGFVotykLrIk0YtzEr2IGIiMcV7LLNHOe1FEdO32h0Va7WE94EsCly0izYGZwFwR2Q/knO6NRSQceBq4BMgGlonIe6q61uu0kTh977oDA4BngAE+Xlv/eTzOH7inyEl2tNh99VSxzz23dF+xU0aFfcXOG4+n0H0t8tou8tpffrvISYAqXFNdGe41ZRKvAif58vXNqzreb2yRsV7rcU5TRsl6ZJy7Hu+cV7Jecl1USZLmJmxRCfYGZnxWVOzhm5yDTBjQKdihmLoUHukMg9KkVe2vVXU+bB4/BAVH3OWY89Rt4VHnteCYs7/Q3V+yFLr7jx9y+syWfBAuzHffa/Od/wmnIywCwqOcZC480lkPd/eFRzn7wiJPrpe+RlZyXRXXhoU79yl9jXBmf/HeLj1eyT45lfPCG0xtpi9Pof7AXb1PRBYAzYA5frh3f2CTqm4GEJE3cOZc9U7CxgCvqqoCS0SkuYi0xZnWq6Zr6943b8OSZysmS2USrar2VZJohQoJ9/pjjTj5hxkW4fXHGuF1TqTzSc77mpJPd+HR7qc+95NfeJR7LKrcdnQl55dse50fFtFg/hhN/fXt7iMcL/RY/zfjO5GTTaT+pur8PylppSht6ShJ8Lz3lztWmO/1Ydz9wF7svV5w8gN6yb6iE073kgrXlb++gLIPZwWJd5IoYe62+yphXklfmNfxcK/j7r6L74VuwXscoFYdb1T1Uz/euz2w3Ws7G6eWraZz2vt4bd0Li3RqdMr/cpT+Mnh/EgjzYV94JdfWcMynfRGVJ2JVbVuCZEy1stwZGDLtCVQTCkRO1oZFh1ifTE/xyWSuTGVG0cmWpTKvXuvVnud1TKsqw3u75Fwt25JVZt1TsaXLe19ETM1fbwAFs+d0ZVlB+dS8qnN8udYpQOQm4CaAjh071ia+2ksd7SzGmEYla/sBmsdF0jExLtihGBPawsIhLNb6CftBMDv5ZAMdvLZTqNi3rqpzfLkWAFV9TlX7qmrf5OTk0w7aGGPKy8o+SEZKc8Rqq40xdaTGBE5EUivZN8QP914GdBeRLiISBVwDvFfunPeAn4pjIHBQVXf6eK0xxgTcsYIivt19mEzr/2aMqUO+NKG+KSL/AR7DmYnhMaAvMOh0bqyqRSJyK/AhzlAgL6nqGhG5xT3+LDALZwiRTTjDiFxf3bWnE48xxpyKNTmHKPaozcBgjKlTviRwA4A/A18ACcBrwHn+uLmqzsJJ0rz3Peu1rsCvfL3WGGPqWtZ25wGGjBRL4IwxdceXPnCFQD4Qi1MDt0X1dAeYMcaYhiEr+yDtm8eSnBAd7FCMMY2ILwncMpwErh9wPjBORKYHNCpjjKknsrYfoFcH6/9mjKlbviRwN6jqPapaqKq7VHUM8G6gAzPGmFCXd7SA7/OO0cuaT40xdazGBE5Vl1ey7z+BCccYY+qPkgF8rf+bMaau2WSPxhhzilZtP4gIpNsQIsaYOlZlAici1iPXGGOqkZV9gO6tmtAkOpiT2hhjGqPqauAWA7hjwBljjPGiqs4DDNZ8aowJguo+NkaJyHXAuSLyw/IHVfWdwIVljDGhLXt/PrlHC8iwAXyNMUFQXQJ3CzABaA5cUe6YApbAGWMarVXZBwHItBo4Y0wQVJnAqepnwGcislxVX6zDmIwxJuRlZR8gKiKMHm0Sgh2KMaYR8qXn7X9EZBIw2N3+FHhWVQsDF5YxxoS2ldsPkNq2KVER9jC/Mabu+fLO8y/gHPf1X0Af4JlABmWMMaGs2KN8s+Mgmdb/zRgTJL7UwPVT1V5e2/NFJCtQARljTKjbtOcIxwqKbQotY0zQ+FIDVywi3Uo2RKQrUBy4kIwxJrRlbXdmlKuEuAAAHlVJREFUYLAhRIwxweJLDdzvgQUishkQoBNwfUCjMsaYELYy+wAJMRF0TooPdijGmEaqxgROVeeJSHegB04Ct15VTwQ8MmOMCVGrsp0BfMPCJNihGGMaKZ8en1LVE6q6SlWzLHkzxjRmxwuLWb/zsPV/M8YElT3/bowxtbAm5xBFHrX+b8aYoLIEzhhjaqH0AQYbQsQYE0RV9oETkT7ldimwT/9/e3ceJVV95338/a3eoVkaWrBBmyWiog4g9giu0YhJJIlKJhqzEjVDnCQTzWTmCYnnyWOOz3OOGrNnTAaNxskxGjOJkRiNCxGXLKwCsoiA7DQNNDs0vdX3+aMuUDZV1dV0V92q6s/rnDp3+d3l++MW3d/+3fu7P/fNmQ1JRCR3Ld2yl6H9yxjavzzsUESkF0vVieG7CdYNMrNS4BPuviRDMYmI5KxFG/dwwYiqsMMQkV4u1VioVyZab2Z1wI84PrSWiEivsGP/EbbsaeJzF48MOxQR6eW6/Aycuy8EKrtzUjMbZGYvmtmaYHrCn7NmdrqZvWxmq8xshZndHld2l5ltNbMlwWdqd+IREUnH4k17ANQCJyKh63ICZ2ZDiT0P1x0zgTnuPgaYEyx31AZ8zd3HApOBL5nZOXHl33f3CcHn2W7GIyLSqUUb91BaHOHcYXqFiIiEK1Unhh9zYqI2CLgYuP3EPbrkOuCKYP5RYC7w9fgN3L0eqA/mD5jZKmA4sLKb5xYROSmLNu5h3PABlBarA7+IhCtVJ4aFHZYdaAT+zd13dPO8Q4MEDXevN7MhqTY2s5HA+cC8uNVfNrPPBnF+zd33dDMmEZGkmtvaWb51PzdfMjLsUEREUnZieDRZmZld4u5/SXVgM3sJODVB0Z3phwdmVgn8FrjD3fcHq38K3E0sqbybWI/ZW5LsPwOYAVBbW9uVU4uIHLN8635a2qOcX6vn30QkfKluoRYBNxK7bfknd19uZh8GvglUEGsRS8rdp6Q4doOZ1QStbzVAwhY9Myshlrw95u6/izt2Q9w2DwLPpIhjFjALoK6urrvP7olIL7V4Y6yRf+IIvcBXRMKX6kGOnwOfBwYDPzKzR4D7gfvcPWXylobZwPRgfjrwdMcNzMyCGFa5+/c6lNXELU4DlnczHhGRlBZt3EPtoD4M6acX+IpI+FI9A1cHjHP3qJmVA7uAM9x9ew+c9x7gSTO7FdgE3ABgZsOAh9x9KnAJ8BngTTM7+tLgbwY9Tu8zswnEbqFuAL7QAzGJiCTk7izatIdLz6gOOxQRESB1Atfi7lEAdz9iZm/3UPKGuzcCVyVYvw2YGsy/DliS/T/TE3GIiKRjy54mdh5oZmKtbp+KSG5IlcCdbWbLgnkD3hMsG+DuPi7j0YmI5IB563cDUDdyUMiRiIjEpErgxmYtChGRHDZ/fSMD+5Rw1tB+YYciIgKkfo3IxvhlMxtMbPzTTe6+KNOBiYjkinnrd/OPIwcRiSR8qkNEJOuS9kI1s2fM7LxgvoZYT89bgF+a2R1Zik9EJFTb9x1hY+NhJo3S7VMRyR2pXiMyyt2Pvp7jZuBFd/8IMIkkL80VESk089Y3AjBp1OCQIxEROS5VAtcaN38V8CzExiUFopkMSkQkV8xbv5t+ZcWcM6x/2KGIiByTqhPDZjP7V2ALMBH4E4CZVQAlWYhNRCR0895ppG5kFUV6/k1EckiqFrhbgXOBzwEfd/e9wfrJwCMZjktEJHQ7DzSzbuchJo3W7VMRyS2peqHuAG5LsP5l4OVMBiUikgvmB+9/u1AdGEQkx6QazP4PxIaqSsjdr81IRCIiOWL++kb6lBbxD8MHhB2KiMi7pHoG7v6sRSEikoP+uq6RC0ZUUVKU6mkTEZHsS3UL9ZVsBiIikkvq9zWxZsdBbqg7LexQREROoD8rRUQSeH3NLgAuG3NKyJGIiJxICZyISAKvrdlFdWUZZ5+q8U9FJPekGkrrl8H09uyFIyISvmjU+cvaXVw2phozvf9NRHJPqha4C8xsBHCLmVWZ2aD4T7YCFBHJtpX1+2k81MKlZ1SHHYqISEKpeqH+jNjoC6OBRUD8n6EerBcRKTivrz36/JsSOBHJTUlb4Nz9R+4+FnjY3Ue7+6i4j5I3ESlYr63ZyVlD+zGkf3nYoYiIJJSqBQ4Ad/8XMxsPXBasetXdl2U2LBGRcDS1tLNgwx4+O3lE2KGIiCTVaS9UM/sK8BgwJPg8FgxyLyJScOatb6SlLcqlun0qIjms0xY44PPAJHc/BGBm9wJ/A36cycBERMLw0qoGKkqKmKwB7EUkh6XzHjgD2uOW23l3hwYRkYLg7ry0cgeXn1lNeUlR2OGIiCSVTgvcI8A8M3sqWL4e+Hl3Thq8huTXwEhgA3Cju+9JsN0G4ACxpLHN3eu6sr+ISFes2Laf7fuP8LWxZ4YdiohISp22wLn794Cbgd3AHuBmd/9BN887E5jj7mOAOcFyMle6+4SjydtJ7C8ikpYXVzYQMXjf2UPCDkVEJKV0WuBw98XA4h4873XAFcH8o8Bc4OtZ3F9E5AQvrmzgghFVDK4sCzsUEZGUwhoLdai71wME02R/7jrwgpktMrMZJ7G/iEhatu5tYmX9fqaMHRp2KCIinUqrBe5kmNlLwKkJiu7swmEucfdtZjYEeNHM3nL3V7sYxwxgBkBtbW1XdhWRXmTOqgYAppyjBE5Ecl+nCZyZ9QWa3D1qZmcCZwPPuXtrqv3cfUqKYzaYWY2715tZDbAjyTG2BdMdQSeKC4FXgbT2D/adBcwCqKur85SVFZFe68WVDYyu7st7TqkMOxQRkU6lcwv1VaDczIYT6zBwM/CLbp53NjA9mJ8OPN1xAzPra2b9js4D7weWp7u/iEi6Gg8289d1jXzgvEQ3DUREck9a74Fz98PAR4Efu/s04Jxunvce4GozWwNcHSxjZsPM7Nlgm6HA62a2FJgP/NHd/5RqfxGRk/Hsm/W0R53rJgwLOxQRkbSk8wycmdlFwKeAW7uwX1Lu3ghclWD9NmBqMP8OML4r+4uInIzZS7dx5tBKzj61f9ihiIikJZ0WuDuAbwBPufsKMxsNvJzZsEREsmPr3iYWbNjDdROGhx2KiEjaOm1Jc/dXgFeC59COtox9JdOBiYhkwx+WbgPgI+N0+1RE8kenLXBmdpGZrQRWBcvjzeyBjEcmIpIFTy/Zxvm1A6kd3CfsUERE0pbOLdQfAB8AGgHcfSlweSaDEhHJhrU7DrCqfj/Xjlfrm4jkl7RGYnD3zR1WtWcgFhGRrPrNwi0URYwPjasJOxQRkS5JpzfpZjO7GHAzKyX2/NuqzIYlIpJZzW3t/GbRFqaMHcKQfuVhhyMi0iXptMDdBnwJGA5sASYEyyIieeuFFQ3sPtTCJyeNCDsUEZEuS6cX6i5i74ATESkYv5q3idMHVXDZGdVhhyIi0mXpjIX6CHDCGKLufktGIhIRybB3dh7kb+808h8fOItIxMIOR0Sky9J5Bu6ZuPlyYBqwLTPhiIhk3uPzN1EcMW6oOy3sUERETko6t1B/G79sZo8DL2UsIhGRDDrc0sb/LNrC+88dqs4LIpK30nqNSAdjgNqeDkREJBueXLCZPYdbueWSUWGHIiJy0tJ5Bu4AsWfgLJhuB76e4bhERHpca3uUB19bT92IKupGDgo7HBGRk5bOLdR+2QhERCTT/risnq17m/j2teeGHYqISLckTeDMbGKqHd19cc+HIyKSGe7Oz15Zx5ghlbzv7CFhhyMi0i2pWuC+m6LMgff1cCwiIhkzd/VO3tp+gPtvGK9Xh4hI3kuawLn7ldkMREQkU6JR5/4XVnNaVYUGrheRgpDOe+Aws/OAc4i9Bw4Ad//vTAUlItKT/rBsGyu27ecHH59AafHJdL4XEckt6fRC/T/AFcQSuGeBa4DXASVwIpLzWtqi3P/CasbW9Ffrm4gUjHT+FP0YcBWw3d1vBsYDZRmNSkSkh/xq3kY2725i5jVn69k3ESkY6SRwTe4eBdrMrD+wAxid2bBERLpv7+EWfvTntVz8nsFcPkaD1otI4UjnGbiFZjYQeBBYBBwE5mc0KhGRHnDvn95iX1Mrd35oLGZqfRORwpG0Bc7MfmJmF7v7F919r7v/DLgamB7cSj1pZjbIzF40szXBtCrBNmeZ2ZK4z34zuyMou8vMtsaVTe1OPCJSeOav383j8zdz66WjOHfYgLDDERHpUaluoa4BvmtmG8zsXjOb4O4b3H1ZD5x3JjDH3ccAc4Lld3H31e4+wd0nABcAh4Gn4jb5/tFyd3+2B2ISkQLR3NbON596k+EDK7hjypiwwxER6XFJEzh3/6G7XwS8F9gNPGJmq8zsW2Z2ZjfPex3waDD/KHB9J9tfBaxz943dPK+I9AIPvLyOtTsO8n+vP48+pWm9LUlEJK902onB3Te6+73ufj7wSWAasKqb5x3q7vXB8euBzsa1uQl4vMO6L5vZMjN7ONEtWBHpnRZs2M2P/7yGaecP50oNmSUiBarTBM7MSszsI2b2GPAc8DbwT2ns95KZLU/wua4rAZpZKXAt8Ju41T8F3gNMAOpJMeyXmc0ws4VmtnDnzp1dObWI5Jm9h1u4/fE3OH1QH+6+/rywwxERyZhUg9lfDXwC+BCxXqdPADPc/VA6B3b3KSmO3WBmNe5eb2Y1xF5Nksw1wGJ3b4g79rF5M3sQeCZFHLOAWQB1dXWeTuwikn/cnZm/fZMdB5r53RcvprJMt05FpHClaoH7JvA3YKy7f8TdH0s3eUvDbGB6MD8deDrFtp+gw+3TIOk7ahqwvIfiEpE89cDcdfxpxXb+1wfPYtxpA8MOR0Qko8IazP4e4EkzuxXYBNwAYGbDgIfcfWqw3IfYq0u+0GH/+8xsAuDAhgTlItKLPPdmPd95fjXXjh/GP1+m94yLSOEL5R6DuzcS61nacf02YGrc8mFgcILtPpPRAEUkbyzbspevPrmEibUDue9j4/TCXhHpFdIZSktEJCet3n6Azz2ygMF9y5j12TrKS4rCDklEJCuUwIlIXlq38yCfemgeJUXGY5+fRHVlWdghiYhkjbppiUjeWdNwgE//fB4Aj31+MiOr+4YckYhIdqkFTkTyyvz1u/mnn/6VqMOv/nkSZwypDDskEZGsUwuciOSNPy6r56tPLuG0qgoevflCTh/UJ+yQRERCoQRORHJeW3uU7zy/mv969R0uGFHFQ5+to6pvadhhiYiERgmciOS07fuOcPsTbzBv/W4+PbmW//3hcygrVm9TEendlMCJSE5yd556Yyt3zV5Ba7vzvRvH89GJp4UdlohITlACJyI5Z/Puw3z7Dyt5aVUDdSOquP+G8eppKiISRwmciOSMppZ2Zr36Dg/MXUvEjDunjuWWS0dRFNHoCiIi8ZTAiUjoWtqi/HrBJn7857XsONDMh8fVcOeHxlIzoCLs0EREcpISOBEJzeGWNp5csJkHX1vP1r1N/OPIKn7yyYlcOGpQ2KGJiOQ0JXAiknWbdx/mV/M38cT8Tew53ErdiCr+37TzeO+Zp2gwehGRNCiBE5GsONTcxosrG/j9kq288vZODJgydigzLh9N3Ui1uImIdIUSOBHJmCOt7cxdvYM/LK1nzlsNHGmNMmxAOf965RncdGEtwwbqGTcRkZOhBE5EetTGxkO8+vZOXl2zi7+u3cWhlnaqK0v5eN3pfGT8MCbWVhFRr1IRkW5RAiciJ83d2bq3iUUb97Bgw25eW7OLjY2HATh9UAXXnz+ca86rYfLoQRQXRUKOVkSkcCiBE5G07Tvcysr6/azYto/Fm/awaOMeGvY3A9CntIjJowdz88Ujee9ZQxg5uI86JIiIZIgSOBE5wYEjrWzYdZh3dh1k3Y6DrKzfz6r6A2zd23Rsm9OqKpg8ejAXjKhiYm0VZ5/aT61sIiJZogROpBeKRp3GQy3U72ti294mNjQeZv3OQ6zfdYh3dh1i18HmY9tGDEafUskFI6r49OQRjK3pxznD+jOkX3mINRAR6d2UwIkUkGjU2X+klV0HW9h1sJnGgy00Hmpm+74j1O87wra9TdTvO8L2fUdoaY++a9/qyjJGVffhfWefwqjqSkZV92X0KX2pHdSH8pKikGokIiKJKIETyVFHWtvZ19TK/qZW9sV9Ystt7GtqZc/hWKK262ALjQeb2X2ohbaon3Csoohxav9yagaUM/70gVxzXmx+2MAKhg2soHZwH/qXl4RQSxERORmhJHBmdgNwFzAWuNDdFybZ7oPAD4Ei4CF3vydYPwj4NTAS2ADc6O57Mh64SAfRqNPcFqW5rZ0jrbFpc1uUI63tHGpu53BLG4da2jnc3GHa0pa4vKWNQ81t7D/SRktbNOW5+5YWUdW3lOrKMoYPLGfc8AEMrixlcGUZ1ZWlDO5bxuDKWHlVnxI9nyYiUkDCaoFbDnwU+K9kG5hZEfCfwNXAFmCBmc1295XATGCOu99jZjOD5a9nPmzJJHenPeq0RZ1oMB+NQls0Srsfn49GoTUapbU9Slu709oepbXdaWuP0hK/Luq0tkVpi0ZpCcrb2r3DNlFa25y24Hit7UFC1trOkWAaS9Di59tpbo1ypK2d1vYTW7s6U1oUoW9ZEX1Ki981repbSt/SIipKi+lfUcyAihIGVJTQvzyYBssDKkroV15MiRIyEZFeK5QEzt1XAZ29YuBCYK27vxNs+wRwHbAymF4RbPcoMJccSOA2Nh5i9fYDRD2WjEQdHI9bdtwh6gTzCZaJteocXQex6fFtjh874TLH10ejHZbjpkdjOmG5w/kIpu1BUtUWPT7fHo37OLRHo7RHY+dt71gerDtW1n58m6PH9a7nQt0SMSguilBaFKG4yCgpilASMcpLiigtjlBWUkRZcYT+FSWUFUeCTxHlJbFpWUmCdcURykoilBcX0aesiL7xSVppMRWlsWOLiIh0Ry4/Azcc2By3vAWYFMwPdfd6AHevN7Mh2Q4ukZdW7eDuZ1Zm/bxmEDHDCKaWehqxWPJ8dPtjy3HlETOIO25RxI59InZ8vjgSoazYiESM4mNlUByJEIkYRcaxsqP7FkcsKLOkxy3qUH50+6P7lgQJV3HEKCmOUBKJUFJkHRKyYJuiWFlJJEJJcbBPUYQijQYgIiJ5KmMJnJm9BJyaoOhOd386nUMkWNflNhozmwHMAKitre3q7l1y3YRhTBo1KJYERcA4nhzFT48mUycsc3z5eAJ1fDm2T9wyHDuOiIiI9B4ZS+DcfUo3D7EFOD1u+TRgWzDfYGY1QetbDbAjRRyzgFkAdXV1Gb1JV11ZRnVlWSZPISIiIkIuP4yzABhjZqPMrBS4CZgdlM0Gpgfz04F0WvRERERECkIoCZyZTTOzLcBFwB/N7Plg/TAzexbA3duALwPPA6uAJ919RXCIe4CrzWwNsV6q92S7DiIiIiJhMc92178Q1dXV+cKFCV85JyIiIpJTzGyRu9clKsvlW6giIiIikoASOBEREZE8owROREREJM8ogRMRERHJM0rgRERERPKMEjgRERGRPKMETkRERCTP9Kr3wJnZTmBjhk9TDezK8Dlymerfe+vfm+sOqr/q33vr35vrDpmt/wh3PyVRQa9K4LLBzBYme+leb6D699769+a6g+qv+vfe+vfmukN49dctVBEREZE8owROREREJM8oget5s8IOIGSqf+/Vm+sOqr/q33v15rpDSPXXM3AiIiIieUYtcCIiIiJ5RgncSTCzG8xshZlFzayuQ9k3zGytma02sw8k2X+Qmb1oZmuCaVV2Iu95ZvZrM1sSfDaY2ZIk220wszeD7RZmO85MMbO7zGxr3L/B1CTbfTD4Tqw1s5nZjjMTzOw7ZvaWmS0zs6fMbGCS7Qrq2nd2LS3mR0H5MjObGEacmWBmp5vZy2a2KvgZeHuCba4ws31x/ye+FUasmdDZd7nAr/1Zcdd0iZntN7M7OmxTUNfezB42sx1mtjxuXVq/v7PyM9/d9eniBxgLnAXMBeri1p8DLAXKgFHAOqAowf73ATOD+ZnAvWHXqYf+Xb4LfCtJ2QagOuwYM1Dnu4B/72SbouC7MBooDb4j54Qdew/U/f1AcTB/b7LvcSFd+3SuJTAVeA4wYDIwL+y4e7D+NcDEYL4f8HaC+l8BPBN2rBmqf8rvciFf+w71LAK2E3tHWcFee+ByYCKwPG5dp7+/s/UzXy1wJ8HdV7n76gRF1wFPuHuzu68H1gIXJtnu0WD+UeD6zESaPWZmwI3A42HHkoMuBNa6+zvu3gI8Qew7kNfc/QV3bwsW/w6cFmY8WZLOtbwO+G+P+Tsw0Mxqsh1oJrh7vbsvDuYPAKuA4eFGlVMK9tp3cBWwzt0z/WL8ULn7q8DuDqvT+f2dlZ/5SuB61nBgc9zyFhL/cBvq7vUQ+4EIDMlCbJl2GdDg7muSlDvwgpktMrMZWYwrG74c3C55OElzerrfi3x2C7GWh0QK6dqncy17w/XGzEYC5wPzEhRfZGZLzew5Mzs3q4FlVmff5V5x7YGbSP7HeqFe+6PS+f2dle9BcU8fsFCY2UvAqQmK7nT3p5PtlmBd3nfzTfPf4hOkbn27xN23mdkQ4EUzeyv46ybnpao/8FPgbmLX+W5it5Fv6XiIBPvmxfcinWtvZncCbcBjSQ6Tt9c+gXSuZd5e73SZWSXwW+AOd9/foXgxsVtrB4NnQn8PjMl2jBnS2Xe5N1z7UuBa4BsJigv52ndFVr4HSuCScPcpJ7HbFuD0uOXTgG0Jtmswsxp3rw+a13ecTIzZ0tm/hZkVAx8FLkhxjG3BdIeZPUWsiTkvfomn+10wsweBZxIUpfu9yDlpXPvpwIeBqzx4+CPBMfL22ieQzrXM2+udDjMrIZa8Pebuv+tYHp/QufuzZvaAmVW7e96PlZnGd7mgr33gGmCxuzd0LCjkax8nnd/fWfke6BZqz5oN3GRmZWY2ithfHvOTbDc9mJ8OJGvRyxdTgLfcfUuiQjPra2b9js4Te/h9eaJt802H51umkbheC4AxZjYq+Ov1JmLfgbxmZh8Evg5c6+6Hk2xTaNc+nWs5G/hs0CNxMrDv6C2XfBc86/pzYJW7fy/JNqcG22FmFxL7PdOYvSgzI83vcsFe+zhJ77YU6rXvIJ3f39n5mZ/tXh2F8CH2i3oL0Aw0AM/Hld1JrPfJauCauPUPEfRYBQYDc4A1wXRQ2HXq5r/HL4DbOqwbBjwbzI8m1gtnKbCC2O230OPuobr/EngTWBb8B63pWP9geSqxHnvrCqX+xDrpbAaWBJ+f9YZrn+haArcd/T9A7PbJfwblbxLXUz3fP8ClxG4FLYu77lM71P/LwbVeSqxzy8Vhx91DdU/4Xe4t1z6oXx9iCdmAuHUFe+2JJar1QGvwO//WZL+/w/iZr5EYRERERPKMbqGKiIiI5BklcCIiIiJ5RgmciIiISJ5RAiciIiKSZ5TAiYiIiOQZJXAiUpDMbK6ZfaDDujvM7IFO9qnLfHQnnPcrZrbKzJKNZiEi8i5K4ESkUD1O7AWa8VKN4RimLwJT3f1TYQciIvlBCZyIFKr/AT5sZmVwbPD1YcDrZvZTM1toZivM7NuJdjazg3HzHzOzXwTzp5jZb81sQfC5JFj/XjNbEnzeOPrW/g7H/DczWx587gjW/YzYS2Jnm9lXE2z/cDD/D8F+fbr7DyMi+U9joYpIQXL3RjObD3yQ2HA3NwG/dnc3szvdfbeZFQFzzGycuy9L89A/BL7v7q+bWS3wPDAW+HfgS+7+l2Cw9yPxO5nZBcDNwCRib+yfZ2avuPttwbBkV/qJY0b+AJhrZtOIjfLyBU8ybJmI9C5qgRORQhZ/GzX+9umNZrYYeAM4FzinC8ecAvzEzJYQGz6tf9Da9hfge2b2FWCgu7d12O9S4Cl3P+TuB4HfAZelOpG7R4HPERuy7RV3/0sX4hSRAqYETkQK2e+Bq8xsIlDh7ovNbBSx1rKr3H0c8EegPMG+8eMMxpdHgIvcfULwGe7uB9z9HuDzQAXwdzM7u8Px7CTrMAY4SOz2r4gIoARORApY0NI1F3iY461v/YFDwD4zGwpck2T3BjMba2YRYFrc+heIDdoNgJlNCKbvcfc33f1eYCHQMYF7FbjezPqYWd/gmK+lit/MBhC7ZXs5MNjMPtZJlUWkl1ACJyKF7nFgPPAEgLsvJXbrdAWxxC7ZbcmZwDPAn4H6uPVfAerMbJmZrQRuC9bfEXQyWAo0Ac/FH8zdFwO/AOYD84CH3P2NTmL/PvCAu78N3ArcY2ZDOq2xiBQ8c/fOtxIRERGRnKEWOBEREZE8owROREREJM8ogRMRERHJM0rgRERERPKMEjgRERGRPKMETkRERCTPKIETERERyTNK4ERERETyzP8HTuX7AgwJ2hAAAAAASUVORK5CYII=\n"
          },
          "metadata": {
            "needs_background": "light"
          }
        }
      ],
      "source": [
        "plt.figure(figsize = (10, 5))\n",
        "plt.plot(xs, ys, label = 'ISRU function')\n",
        "plt.plot(dxs, dys, label = 'ISRU function derivative')\n",
        "plt.xlabel('Values of x')\n",
        "plt.ylabel('Values of ISRU of x and its derivatives')\n",
        "plt.title(\"ISRU Function and it's derivative\")\n",
        "plt.legend()\n",
        "plt.show()"
      ]
    },
    {
      "cell_type": "code",
      "execution_count": 11,
      "metadata": {},
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": "tensor(1.)"
          },
          "metadata": {},
          "execution_count": 11
        }
      ],
      "source": [
        "dys.max()"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {},
      "source": [
        "Note the fact that maximum value of derivative is independent of the value of alpha"
      ]
    }
  ],
  "metadata": {
    "colab": {
      "name": "ArcTan - MXNet.ipynb",
      "provenance": [],
      "collapsed_sections": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "nbformat": 4,
  "nbformat_minor": 0
}