{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "provenance": []
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    },
    "language_info": {
      "name": "python"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "source": [
        "**Unconstrained minimization problem**\n",
        "\n",
        "Task:\n",
        "\n",
        "Find the local minimum of the functios:\n",
        "\n",
        "№1.\n",
        "![image.png](data:image/png;base64,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)\n",
        "\n",
        "№2. ![image.png](data:image/png;base64,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)\n",
        "\n",
        "№3. ![image.png](data:image/png;base64,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)"
      ],
      "metadata": {
        "id": "loBNrm7X_bya"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "**The necessary steps for your solution:**\n",
        "\n",
        "1. Define a function and plot its three-dimensional graph\n",
        "2. But the three-dimensional graph is not very convenient for perception. Plot the function level lines. In this step of the 2D level line graph, you need to understand and be able to explain from the graph what solutions to expect in your problem\n",
        "\n",
        "To do this, study the following example.\n",
        "\n",
        "For example, consider the function f(x,y) = sin(x) * sin(y) / (x*y) . First, let's construct a regular three-dimensional graph of this function:"
      ],
      "metadata": {
        "id": "928AoKDRDhlP"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "import numpy as np\n",
        "import matplotlib.pyplot as plt\n",
        "\n",
        "fig = plt.figure(figsize=(7, 4))\n",
        "ax_3d = fig.add_subplot(projection='3d')\n",
        "\n",
        "x = np.arange(-2*np.pi, 2*np.pi, 0.2)\n",
        "y = np.arange(-2*np.pi, 2*np.pi, 0.2)\n",
        "xgrid, ygrid = np.meshgrid(x, y)\n",
        "\n",
        "zgrid = np.sin(xgrid) * np.sin(ygrid) / (xgrid * ygrid)\n",
        "\n",
        "ax_3d.plot_surface(xgrid, ygrid, zgrid)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 375
        },
        "id": "ch_aVOmZDqQt",
        "outputId": "b953d336-6b6b-4e9e-9100-6d0df782b660"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<mpl_toolkits.mplot3d.art3d.Poly3DCollection at 0x7e04a0284890>"
            ]
          },
          "metadata": {},
          "execution_count": 16
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 700x400 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "To form a two-dimensional graph of level lines, we will create a two-dimensional coordinate system and use the *contourf()* function."
      ],
      "metadata": {
        "id": "YDHOakWmGkCD"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "fig, ax = plt.subplots()\n",
        "ax.contour(xgrid, ygrid, zgrid)"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 449
        },
        "id": "5pk-BZijGmUk",
        "outputId": "7bb8095e-10bb-4438-b8cd-9a87ec4a639c"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<matplotlib.contour.QuadContourSet at 0x7e0497e050d0>"
            ]
          },
          "metadata": {},
          "execution_count": 21
        },
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "We see a two-dimensional sinusoid represented by level lines. Next, you can add a numerical value to each line"
      ],
      "metadata": {
        "id": "wQqKHsfYHIzG"
      }
    },
    {
      "cell_type": "code",
      "source": [
        "fig, ax = plt.subplots()\n",
        "c1 = ax.contour(xgrid, ygrid, zgrid)\n",
        "ax.clabel(c1)\n",
        "plt.show()"
      ],
      "metadata": {
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 432
        },
        "id": "CSnMxMejGo3W",
        "outputId": "ca37b357-f02e-42b6-eb19-dab31a787a7f"
      },
      "execution_count": null,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "text/plain": [
              "<Figure size 640x480 with 1 Axes>"
            ],
            "image/png": 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Um9vISIzkL1fOYEi/2OMev2Lzfl77cj2Vdc0kRodwy0VTmDQirRtbLHSnuqY2AEwBOj+3RPAn0SMi9Chp8eGMGZKE2+3hwx+2+bs5Qhcs27SP5z5azXXnjOe9Ry4nPSmSO576igaz5ZjH795fwT9e/p6F0zJ5/5HLmZqVzt3PLuZgWV03t1zoDuYWKxW1ZgAGJEf5uTWCP4lAROhxrlo4FoBFq3NobD72h5bQ8328JJuzpmeycGomafHh3HvNbPQ6Nd+uyTnm8Z/+tJ3xw1K44owxpMaH84fzJzEgJYrPl+/s3oYL3WJvcTUAiTEhBBr1fm6N4E8iEBF6nNGDExmcFo3d4eLTpTv83Rzhd3C63OQXVzN2SHLnc0qlgjFDktlTUHnM1+wpqGTMYccDjB+awp4DFT5tq+Af+UU1AAxKjfZzSwR/6xVzRO56ZhFafYC/myH4gE6jIi4qmMToUBKjQ0iIDiEmIoirFo7lnue+5ZOl28ktrPJ3M4Xj+MP5E48556OpxYrbIxEWfOR1GxYUQElFwzHLqm9qO/r44ADqjzOUA/DoG0upbmj9HS0X/K2o3DvkNiA5mvqmNqobWqiub+l8rGlopbnN5udWCr+Xw3bivdm9IhDJzitDpRVdd32FSqXkurPH0y8hnIOH6tmSU+LvJgnHccm8UX6tf09BJcXHCWyE3uGFT9bwwidr/N0MQWZux4kHkb0iELnvujkYjSZ/N0PwAYvNQVl1E4fav8prmrA73azcsp/n7j6P7XvLkCR/t1I4noykyGM+HxJoQKVUHDUxtaHZQliI8ZivCQ8xHn282UJ48PF7Q2+9aAptVsdJtlroKR54dQkACgVEhBiJCgskOiyQ6HDvY3CgAaVC4edWCr9HW1sr5392/wkd2ysCkTnjBxAUJJZx9gWb95Rw+1NfAhAZauK0iYP83CLh99CoVQxMiWZrXinTRqcD4PFIbM0t5YI5I475mqHpsWzLLT2il2VLTglDM+KOW8+UUf1kbbfQvb5csYvdByp4/LaFzBiT4e/mCDJqbm4+4WPFZFWhRxE3P6eOS+ZnsWjVHr5fm0tReT1Pvrscm93JgqlDAHjw1SW89OnazuMvmjuKjXuK+fCHbRRXNPDGVxvYW1TNBbNH+Ok3ELqLuO77tl7RIyIIQu8zZ/wAmlosvP7lBurNFvonRfLsXecSHuwdmqmubzmi231Y/zgeufl0Xv1iPa98vp7E6BCe+tOZ9EuM8NevIAhCNxCBiCAIPnPBnJFcMGfkMX/2yv0XHvXcrHH9mTWuv6+bJQhCDyKGZgRBEARB8BsRiAiCIAiC4DciEBEEQRAEwW9EICIIgiAIgt+IQEQQBEEQBL8RgYggCIIgCH4jAhFBEARBEPxGBCKCIAiCIPiNCEQEQRAEQfAbkVlVEARZOFwu2hxO2uwO2hxOLA4HNqcLp9uN0+1pf3TjaP9/l9uD2+PpfP0v2d4Vnd8rFQq0KhVatar9UY1WpULT/r1eo8ao1WLSeb+0ahUKsXGJIPQqIhARBOEorTY7lc0t1La00Wix0Wixdn41dTxabZitNtrsDiwOJ87Dggp/USuVGNuDEqNWS5BeR6jRQFiAgTBjAGFGA2EB7Y/GACLanxPBiyD4jwhEBKGPkSSJ6uZWihuaONRopqq5hSpzq/exuYVKcyttDsfvLl+vVhOg1WDUadFr2nswOr+URzwevumd9EsDO//f7fHgcLtxuNw43G6cLm/visPtwuFyY3W6aHN4AyEAl8eDuT1AOlE6tYqYoEDiQ4KIDQ4kNjiQuOAg4oIDSQgNJjY4EJVSjGILgq+IQEQQTlGtdgcHa+sprm+kuL6J4vpGiuoaKWloxOp0/ebrg/U6ogJNhBoNhAYc/qUnNMBASICBYL0eo06DUavFqNNi0GhQq7r/Q9vjkbA4HLTaHbS1P7baHTRbbTRYrDS0eXtx6tss7f9vob7N27tjd7kpaWiipKHpmGVrVSqSw0NIiwgjNTzU+xgRSmpEGCadtnt/UUE4BYlARBBOAS02O3mVNeRV1pBbWUNuRTXF9Y2/9DL8D5VCQUJoMIntd/yxwYFEBwUSG2QiJiiQ6CATxl70IatUKjDpdZj0upN6ncPlprq5hQpzC5XmFirMzVSaWyhv+uXR4XZzoKaeAzX1R70+JshEZlw0mXExDI2PJjMummCDXq5fSxD6BBGICEIvI0kShXUNbCwsY3tpObmVNce9m480BZDafiefcthXQmgQGpWqexveA2nVKhLDQkgMCznmz90eD5XmFgrrGiisa6TosMe6NgtVza1UNbeyPP9g52uSw0IYGh/D0LhohifEkhkX7ZdeIkHoLUQgIgi9QHVzK5uKStlQWMrGwlJqWtqOOiYuOJAhsdEMiYticKz3K8Jk9ENrTx0qpZKE0GASQoOZmpF6xM+arTb2Vdexp6KanPIq9lRUU9Zo7hzm+W5PPgBBeh0T0pKY3C+ZyekpxAYH+uNXEYQeSwQigtADudweNheXsWp/IRsLSymobTji51qVitHJ8YxNSSAzLoYhsVGEGg1+am3fFGTQMyYlgTEpCZ3PNVqs5FRUk1NezZ6KKrJLKzBbbSzNO8DSvAMApEeGMTk9hcn9UhiTHI9OI96Ghb5NXAGC0EO4PR62Fh9iSe5+ftpbQKPF2vkzBTAkLpoJaUlMTEtiZGIcevEB1uOEBhiYkp7ClPQUwPtvmlNRzbqCEtYWFLO7vIqC2gYKaht4d+N2AjQaZgxI44yhA5jcLwWtWgyXCX2PeCcTBD8rrG3g6115LNqVd8SQS2iAgdkD+zE5PYVxKYmEBIhJkL2NSqlkeEIswxNiuWX6eJosNjYVlbK2oJi1BcXUtLTxfc4+vs/ZR2iAgTOHDeL8UUPIiIrwd9MFoduIQEQQ/MDl9vDdnnw+3rabXYcqO58PNuiZOyideUP6My4lUUxyPMWEBOiZN6Q/84b0R5IkdpdX8f2efSzJ3Udtq4X3Nm3nvU3bGZ4Qy/kjhzA/c4BYIiyc8kQgIgjdyOFys2hXHq+v20pZoxnwLqWdmpHKOSMGM71/Klq1/y/LBpuFMH0AkiSJrKM+olAoOntL7p47lbUFxXy5I4ef9xWy61Aluw5V8sTSNVw1fiRXTxhFkFgWLJyi/P+OJwh9gMPl4ssdubyxbisV5hYAwgIMXDVhFOeNHNJjVrdsqirl8mWfMC0+lbdmXiCCkG6iVimZMSCNGQPSqG1pY9GuPL7YkUtxfSMvr9nMB1t2cu3ELC4fN1L0kAinHBGICIIP2ZwuPsvew5vrt3bO/4g0BXDdpDFcmDWUAK3Gzy080uu5m0kPDsfh9nCo1UyCKVj0inSzyEAj108ew7UTR7Msv4AXft5AQW0Dz67cwHubdnDD5DFcOma4mKwsnDLEmSwIPuBye/hk225eXbOZujYL4M3Cef2kMZw/KrPbP0Q8knTEvi7Hsqe+CpNGx9yk/mysKmFvY403EKFjP9yTI0kSNrcLi8uJxeXA6nK2/78TW/ujw+0GvDvtKlB461F4HxUo0CiVBGi0GDVaTOr2x/bvNcpTe4WJUqngtMEZzB7Yjx9y9vPiqo2UNDTx1E9reGdDNjdNGcuFWZk9YihPELrCp2fw448/zldffUV+fj4Gg4GJEyfy5JNPMmDAAF9WKwh+VdrQxF+/XMLu8ioA4oKDuHHKGM4dMbjbPjQcbjffFOXyfn42LU47Z6YM5px+maQFhR3Vw+H2eFAplSwrO0C4IYCL0oexobKEnPoq5iRmHLeOZoeNdZXF1FnbqLW2UWfreLRQa22lzmbB7v7tPW1+L61SRZBWT5TBSFSAiWiDiSiDiagA72N0gInYgECiDKZe3aOjUipZOGwg84f0Z9GuPF5avZkKczOPLvmZ/27ewb/Onc+whBh/N1MQfjefviuuXr2aW265hTFjxuByufjb3/7G3LlzycvLw2jsGWPigiAXSZJYtGsvD/+wEovDSaBOx52zJ3H+qMxuS6feEWSsrSzi7bytLEgZRKwxkNdyN7O2spiXpp5F/P8Mt6iUSmqtbayvLOZvo2cSojMQYwykrNU7mfZ4PSmNdit/XP3NCbVLp1IToNYQoNagb380qDXo2ns1pPa2S4CEhCR5H10eD21OB20uB21OB61OBw6PtxfF4XFTZ/MGQHmNNcet26jWkhYcRlpQGP2CwzsfUwND0at71tDYr1GrlJw3KpOFwwbx5Y4cXl69mZKGJi57+1P+OmcKV44f2asDLqHv8mkg8uOPPx7x/bvvvktUVBTZ2dlMnTrVl1ULQrdqsdl58LsVfJ+zD4DRSfE8de484kKCurUdCoUCm8vJ14W5hOsDuHXYRADGRydx5YrPeH/fdu7LmnHUB1Zhcz1BWj1ZkfEAxAUEsqayiBt//pLL+o9kWnzaUXXFG4MZG5VAmD6ACL2RSIORCIORCL33MUpvJERnIECtQaWUbxmy0+PuDErMDhs11lZqLK3UWFupbn+ssbZRY2ml2tpCm8vBnvoq9tRXHfm3ApICQxgREcfIiDhGRsYzKDQKbQ/fg0erVnHJmOGckTmAvy9exk97C3h86Wo2F5fx2FmniXwzQq/TrYOLZrP3DissLOyYP7fb7djt9s7vm5ubu6VdgtAV20sr+OuXS6gwN6NSKLh1+gRunDJG1g/fk+GSPOQ1VHP94LGdz8WbgpmbmMGGypLOpbnwSw/Kc7vWE6LT8/dNS1lfWUxpaxNalRqnx3PcZbxqpZLP5l3erb8bgEapIkRnIERnIIFghhB93GMdbjelLY0cbG7goLmewvbHg831NDvslLQ0UdLSxKKiPMDbczM0LIaRkXGMjIwjKzKe6ICeuTdMkEHPcxcu4KOtu3hi6RpW7ivk3Nc+4OnzT2dkYpy/mycIJ6zbAhGPx8Of/vQnJk2aRGZm5jGPefzxx3nooYe6q0mC0CUut4dX127m5dWb8UgSCSFB/Pu80xmRGOvXdpk0OpodNqwu5xHPZ4bFsOJQAbvrq5gen4bT40at8AZL/YLDWVKSz6jIeG4cMg6TRsd/929nWlwaQ8Nj8EjS75qw6m9alYr0kAjSQ47MVCpJEvU2C3mNNeysq2BHbQU7astpctjYVnuIbbWHOo8dHBrFzIR0Zib0Y3h4rN8CzGNRKBRcNnYEIxPj+PPn31PS0MQV73zOn2dN4poJWSiVvfFfTehrui0QueWWW8jJyWHdunXHPea+++7jzjvv7Py+ubmZxMTE7mieIJyUZquN2z/7jk1FZQCcOWwg/zx9Jia9zs8t8xoUGsWe+qojejISTcGE6Azsb6plenzaEatO7ho5lbtGTiVI6+3WtzgdLCrKZWtNGTDhN1fc9DYKhYIIg5GphlSmxnl31ZUkieKWRrbXlrOjtoLtteXkN9WS11hDXmMNL+7ZQLg+gGlxacxKSGdqXCqB2p7x7z04Noovb7yUf363gh9y9vGvZWvZUnyIJ84+TWyGKPR43RKI3HrrrXz33XesWbOGhISE4x6n0+nQ6XrGhS0Ix9NstXH1e1+SV1VDgFbDg2fM4szhg/zdrCNMjUvl3fxs6mwWIg3eieEJpmBaHb8MfVa2NVNjbWN4RGxnANIhQKNldFQCCrxzTnrTpM7fS6FQkBoURmpQGOf1Gwp4M8yurihkxaGDrC4vpN5m4avCHL4qzEGrVDE1LpWLM4YzI76f33tKTHodT583n3EpCTz24ypWHyji/Dc+4v2rLyC+m+cqCcLJ8GkgIkkSt912G19//TWrVq0iNTXVl9UJgs9ZHU5u/ngReVU1hBsDeOuKcxkYE+nvZh1lQcog/r1zLesqizgnzTsUqkDBvqZaBod651Q8uX01RS0NvDrtHGKNQUfNA/lD5ni/tL0nCdMHcE5aJuekZeL0uNlWc4iVhw6y4lABhc0NLD9UwPJDBcQbg7gkYwQXZgwjymDyW3sVCgUXjR7GiIRYbvv0W0obzVz336/48JoLCTcF+K1dgvBrfBrC33LLLXzwwQd89NFHBAYGUlVVRVVVFVar9bdfLAg9jMPl5vbPviO7tIIgvc7vQYhHkshrqD7mz2KNQZzfbyj/2bmWzwp2U2Np5T+71jIqMp7koBAAxkUnMjshHZ3Kez8iln7+Oo1SxYSYZO4fPZOVZ9/IsjOv58bBYwnR6ilva+bfO9cw8YuXuWX1N2yqKkWSJL+1dUBMJO9ffQFxwYEU1zdywwdf02Kz//YLBcEPfBqIvPLKK5jNZqZPn05sbGzn16effurLagVBdm6Ph3u+/pG1BcXo1WpevfRsvwUhHknih5J85n37Fgu/f5caS+sxj7t75DTmJw3g/fxspnz9Kusri7lt2CQSTSEAXNJ/BLcNm9S5gqY3s7kdtDgt3VpnRkgEfxs9k03n38LTk85gZEQcLsnD9yX5XPzTR8xd/Bbv52dj+59Jw90lJjiQt644j7AAA3lVNdz88SJsTt8lmBOE38vnQzOC0NtJksSD361gSe5+NEolL1y8kFFJ3b88UpIkfio7wDO71pLfWAtAoEbH3sYaogKOHg4I1um5L2sGRS2NBGv1hJ8CAcexVFpr+bhkKbvNB7C67UyNHMl1aWejV3XPfDO9WsN5/YZyXr+h5DZU88G+HSwqyuWAuY5/blnGyzmbuGPYJM5PH9rtaelTI0J584pzufLdz9lWUs6fP/+e5y9a0G0J9gThRPScdWiC0EM9vXwdn2/PQalQ8K/z5jMlPaVb65ckiZWHClj4/bvctOor8htrCdTouGPYJNadd/Mxk411UCgUpAWFnbJBSI2tgdcPfsXe5iLuHXQNdw64jH0tJXx1aKVf2jMkLJrHJ8xj0/m38NDYOcQFBFFlaeG+TT8yZ9GbLCrKw9PNN2iDY6N45ZKz0KlV/Ly/kL8vWobHI24ShZ5D7JYkCL/Cu3PuNgAeWjCLeUP6d2v9+5tqeXDLcjZUlQDedOXXDBrN9YPHEKITyzLX1G6n0lbHXwdeyYCgZAAOth5iZfVWLkqai0px7Dt/i8vGypqt2Nx2BgalMiAwGY1SvrfDIK2eqwZmcVHGcD7av4OX9mykuKWRO9Yu5r38bB4dN5fBYcdPxCa3MSkJPHvBAm79ZDGLdu8lOTyEP04Tk5GFnkEEIoJwHAdq6vi/JT8D8KeZE7kga2i31e1wu/nPzrW8kbcZtyShU6m5emAWNw0Z1+vmdHgkDxa3jVanlVaXhRaXhdb2L5vbgQJQKpTe3Xc7d+FVoFAoGBKURpLx+AniNtbvZlBQKmmmX4bKovXhGFQ6DrSUMTAo5ajVQBvrdvNRyRJM6gAUCgVfHlpBf1MyN6WfR5xB3nk/epWaaweN4cL0Yby9dxuv5Wxme205C75/l6sHZvHn4VO6LRfJjAFpPHzmHO5f9BMvrdrElPQUhsaLzfIE/xOBiCAcg9Pt5q4vf8TucjOpXzI3Th772y+SSVFzA3esXczu9r1RTkvqz99Hz+ycZNrTSJJEk7OFCmtt51d5+2OdvZE2lxUPv28o4C8DrjhuIOL0uChrq+aM2MlolJojnlcoFGgPe84jeVAqlOxpOsAnpUuZGDGcS5LnAd6JrgUtpeiV2t/VxhNh0ui4fdgkLug3lEe3reT7knze3ruN74vzeWbyAibGpvis7sOdO2Iw6wuK+SF3P3d99SNf3XQZAdpTP0eM0LOJQEQQjuHNddvIr64lxKDnibNP65ZU2ZIk8VVhDv/Y/BMWl5MQrZ4nJs5nXtIAn9d9oiRJotxaQ15zIXnmIgrbDlFhrcXq/u2loTqlBpM64JcvjQGDUvfLjrtI7fMnvI8SEokBxx++aHVZsLhtxBmijni+wWHGI0nEGrxp3RUKBR1x0LKqzUToQtCrtPy3+Hui9WFMCB9OZkg6Hsnze/8sJyzWGMRL087mwvJCHtiyjOKWRi5b9gm3D5vE7cMm+TwpmkKh4J9nzCK7tILi+kb+9dMaHlgwy6d1CsJvEYGIIPyPgpp6Xl6zGYD7508nMtDo8zpbHHb+vnlp5+Zr46ITeXbyQmKN/s2I6fA4KWgp8wYezYXsbS6i2dl21HEKFETqQokzRHZ+xRsiidaHE6gOwKQJOKKHQg7VtgaCNSY4rLel2dlGubWWaH0YhsNWzSgUCjySh70tRdTbzbgkN+HaYHY17SfHfJDbMi46olfF16bFp7Fk4bU8sGUZnxXs5rnd69lSU8Zzk8885gooOYUE6Hn87Llc+9+v+HjbbuYMSmdiv2Sf1ikIv0YEIoJwGLfHw/2Ll+F0u5mWkcqCoQN9XueO2gpuX7uIslYzKoWCPw+fws2Z4/2WMrzB0cyGul1srNtNjrkAl+Q+4ucahZr+gUkMCk5jQGAyCYYoYgwRsgcavyVQHUCYNohdTQcYGOTN2lzUWs7B1jIWxE0BwN3ey6FSKKm01dHoaKZ/YBJ3D7wKo9pArvkg/5f3FsurtjA/blK3tt+g1vDUxNOZEJPE/ZuWsrGqlPnfvc0zkxd27n/jKxP7JXPpmOF8tHUXD363gsV/vBK9RnwcCP4hzjxBOMwX23PYdagSk07LQwtm+Tzb6NeFOdy94QecHg8JpmCem3ImWZHxPq3zWCwuGxvrd7OqZhs7G/cdMacjRBPIoKBUBgenMTgolX6mRFlXmPwekiQRHxDFiNABbGnIYWBQChaXjdcOfkn/wCRmRI0BvAFIhxpbA0FqIxMihmFUe1ccDQhMYWToQLIb9zI/blLnXJLudE5aJsPCY7llzTfkN9Zy1fJPeXjcXK4YMMqn9d45axLL8wsobTTzzoZsbp42zqf1CcLxiEBEENo5XG5eXbMFgNumTyAmONCn9b2eu5nHsr2rcuYnDeDJifOP2nzOl1weNzua8vm5ehub6ndj9/ySAXRgYAoTI4YzLjyTeENUj0v/3tGecxJm0lps4f9y3yJArWdq5Cjmx07CqDbwftF3tLjauCRpHmG6YEI03n/PMG1wZzkOj5NaWwPJxu5PUHe4fsHhfDP/Sv7ZPlTzj80/UWdt40/DJ/vsb2/S67h77lT++uUS3tmYzWVjhxNk6L7zTxA6iEBEENp9tTOXyuYWIk1GLh49zKd1vZm3pTMIuXHwWO7NmoGymz7sHR4ny6s283nZcmrsDZ3PxxuimBE1mulRWcTKvIzVV8K0QdzR/1Lu6H8pbS4repWusxek0lZHq8uCXuVdDZNqiidIY2JD3S7GhWeiVWpYWbOFGnsjFyTNAbxzXTrsay5hc/0ezoqfRrDWt0EpeDO0PjlhPrEBgTy3ez3P7V5Pnc3CI+Pm+uzcmD+kP6+u2UxBbQPvb97BrdMn+KQeQfg1IhARBLy9Ia+194bcOGUMOh+Ol7+Xn82j27yZP/88fDJ3DJ/ss7oOZ3Pb+bFyA18dWkm9wwxAsMbE9KgsZkSNId2U2ON6Pk5Gx3BLh3sGXY3FZSNA/ctd/m39L+aZfR/wp+3/JtUYR15zEbOjxzEixJuo7vDf/8eq9fxUtYlvylexIG4K5yXOap8c6zsKhYI/j5hChN7IP7f8xIf7dwDw6Li5Pvm3USmV/HHaeO784gfe27iDK8eNFL0iQrcTgYggcGRvyIWjfJe47KP9O3lgyzIAbhk6gduH+X6CpMVl5buKtXxTvgqz07tBXoQ2hPMTZzM3Zjw6le/yZ/jb4UEIQD9TAg8MuYkdTfnU2BqZHTOekaHHXh49LnwoRa0VHGgt5ctDK/i+Yi0L46dyTsJMnwckVwwcRZBWx5/WfcuH+3dg0mi5d9R0nwQj8wb355XIzRyoree9TTu4bYboFRG6lwhEhD6vu3pDvji4h/s3/QjADYPH8tcRU33aA9HitLCofBWLK1bT5rICEKMP58LEOcyMHuv3Caf+EqkPZW7Mb3/Yjg8fyriwTLY25PJByQ8cbD3E52XL+a5iLQvjpnJuwkwCNb5b2n1W2hCsbhf3blzCa7mbCdLquGXoRNnrUSoV3DJ9PH/6/Hve27SdK8ePJFj0igjdqG++EwnCYb7dk+/z3pANlcXcveEHJODqgVn8LWuGT4OQXY37eXrffzuHYBIM0VyUNJdpUaOOu/+KcDSFQsHY8EzGhA1hc0MOH5Us4WDrIT4rW8aPlRu4KnUhp8VM8Nm/5cUZw2l12nl020r+tWMNyYGhLEgZJHs9cwdl0D8qgv01dXy0ZZdYQSN0K7H7rtDnfb0jF4DLx43wSW9IjbWV29d+i0eSOCdtCA+Mme2zDy6nx8U7RYu5f89L1DvMxBuiuG/QNbwy+j5mRo8RQcjvpFAoGB8+lOdG3sXfB19PckAsza42XjjwCQ/nvkHLMZK8yeX6wWO5aYg3MLhv44+UtDTKXodSqeDaiVkAfL0zF6mbdwgW+jYRiAh9WllDE9tKy1EAZw2T/07T7fFwx9rF1NnaGBASyWPj5/ksCKmw1nLXzmf5omw5EhLzYiby/Ki7mBw5sttzY5yqFAoFEyKG8fyou7k+7WzUChVbGnK4bftT5JkLfVbvXSOnMSYqgRanndvWLMLhdv/2i07S3MEZBGg1lDaa2V5aIXv5gnA84t1J6NO+2bUXgAlpST7JG/Lc7nVsrColQK3hpWlnY1DLn31UkiSWV23m9u1PcaC1FJM6gL8Nvo7b+l+MXtU9O7v2NWqlinMSZvKfkXcSp4+k1t7IPbue54uy5T7Zs0atVPLclDMJ0erZXV/Fk9tXyV5HgFbDaYMzAPh6Z57s5QvC8YhAROizPB6JRbu8b7jnjBgse/lrKop4YfcGAB4fP4/04HDZ62h1WXgq/z2e2f8hVredocHpvDjqHiZFDJe9LuFo/UyJPDfqLqZFZuHBwztFi3ko53XMjhbZ64ozBvGvSWcA8Nberaw4VCB7HeeMGALAktz9WB3O3zhaEOQhJqsKfVZ2aTmHmpoxarXMHpgua9mNNit3rvsOCbi0/wjOShsia/kA+c1FPLn3PWrsDShRcnnK6ZyfOPuItOY9hdtjp81VQ6urijZnNRZ3LVZXHXZ3MwqUKBTKIx9RgkKJWqHDqI7GpIkjSJNAoCYelbJnLTcOUOu5a+CVDAvJ4LWDX7KtMY/btj/F3YOuJjO4n6x1zUnM4JpBo3ln7zb+su47liy8VtaNEUcnxZMQEsShpmaW5xew0AfDlYLwv0QgIvRZ3+7JB2DekAwMWnmHTJ7cvoo6WxsZwRH8c8xsWcsGyDMX8vc9L2H3OInWh3P3wKsYGJQiez2/h81tpsqSTZU1m3r7ftqcVVjd9TKVrsCojiZIk0iQNoFgbSpxAWMI0iT5NRmbQqFgXuxEBgQm88TedzhkreH+3S/y14FXMCVS3j1j7h01nW01h9hTX8W9G3/k3VkXyPa7K5UKzh4xmBdXbWLx7nwRiAjdQgQiQp8kSRKr9xcBMG9If1nLPtBUx2cHdwPwxIR56FXyXmaFreU8mPMado+TUaEDuW/QNQT8T1bR7uT0tFFt3UWlZRtV1mwa7AeOeZxaoceoicGojiZAHUmAOgKdMhgJCfAgISFJ7vZHDxIenB4Lba4qWpzlNDsO4ZK837e5qqi0bu0s26SOI944nviA8cQEZKFR+ufvkWqK59lRd/Hsvg9ZV7eTJ/e+ByiYEjlStjp0KjXPTTmTeYvfYnVFIasqCpkRL1/Py2mDM3hx1Sa2FJdhc7rErryCz4kzTOiT9lfXUd3SikGjZmxygqxlP7l9FR5J4rSk/mRFyVt2ubWGf+x5mTa3lcFBadw/+PrOvVS6k81tpqD5e0pbV1Fn24vEkas4QrSpxAaMJko/jEBNPEZNDDplcJfu3CVJwuZupNlZRrOjjBbnIepseVRbd9LqqmCf+Sv2mb9CqdAQrR9OvHE8CcZJBGuTu/rrnhSDSsfdg64m4MAn/FS1iX/nv0+QxsjwEPkC3rSgMK4amMUbeVt4avtqpsWlybYfTXpkONGBJqpbWtlacogp6SmylCsIxyMCEaFPWlNQDMDYlERZc4dsrS5j+aECVAoFd4+cJlu5AHX2Rv6++2WanC2kGeN5IPPGbg1CJEmizp7HvqavKGpdgUdydP7MpIkj1jCa2IAsYgxZGNRhstevUCgwqMMwqMOINvwyGdfpsVBl2U65ZSPlbZtodVVSad1GpXUb2+peJNYwmkEhF5FgnICim+bPqBRKbs24mFaXlQ11u3gk9w2eHH4H/UzyBaZ/zJzAJwd2sbexhm+L8mSbh6RQKJiSnsIXO3JYV1AiAhHB50QgIvRJaw4UAzA1I0W2MiVJ4vH2ZZUXpg+nn4yrZMzOVv6+52Vq7A3EGSJ5eOjNmNQBspX/a1weG0Uty8g3f0WDfV/n82G6/vQPOot443hMmthuacuxaJQBJJomk2iajCRJNDtLKW/bRLllI5WW7M6gJFCTwKCQC0kPmo9G6bvU7B1UCiV3DbySf+55hT3mAh7IeZV/Df8TsYYIWcoP1Ru4acg4/r1zDU/vXMv85IFoVfIkrJucntweiBQD8gbUfcm+3HJi4kIwBGjR6jR4PB6Uyp43mdzfRCDSyx3YW0F0bAj6AC1arVqc6CegxWZne2k5AFNlvNv7qewA22vL0avU/Gm4fJvZWVw2HtjzKmWWaiK0Ifzf0FsI1cq3UuJ4Wp2V5DV9RkHz9zg93s3ylAotqabZDAg5hwjd4B63W69CoSBYm0ywNpnBoRfR6qxin/lL9psX0+I8xJba/7Cj/jUyghYyOORijJoon7ZHq9TwjyE3cM+u5yhqq+Cfe17hXyP+RIhWnpw11w4azbv52ZS2NvHJgZ1cOTBLlnInpCWhVCg4WNdAeVMz8SG+P99OJat+yuHdl1ag12twOt0MGBLH3Y+cJ96bj0P8VXqpjavzuf68F3j6wW/4yw1v89yjiwHEiX4CthQfwi1JpISHkhgWIkuZkiTx3K51gDcld3SAPB80kiTx3P6PONBaSpDGyKPDbiFKL/+wx//WWdD8PYtKrmBv06c4Pa2YNHFkRdzKBamLmBzzdyL1Q3pcEHIsJk0MWRG3cH7qN4yL/CtBmiScnjbymj7h65IL2V73Km6P3adtMKoNPJR5M9G6MCpstTyV/55sSc8CNFruaN/B+aU9G3F55Ck32KBnWHwMAJsKS2Upsy+wWR28/eJy3nt5BWddNJa/P3UhZ108ls3rDvDtZ96NNUX6/KOJT61exm5z8v6rK3nt6R+Zs3AEf3viAk4/J4tNa/ez6NPNgDjRf8vOQ5UAjEmOl63MXfWV5DXWoFWquH7wGNnK/blmK+vqdqJSKHlgyI0kBkTLVvax2N3NrK76B+ur/w+XZCFSP5TZcf/h3OTPyAy9FL0q2Kf1+4pGaWBgyLmcnfwRs+KeJko/HLfkYE/j+/xw6EaaHWU+rT9cF8xDQ29Gp9Swq2k/P1Sul63sizKGE64PoNrays/lB2Urd3T79bGrvEq2Mk91NpuTov1VXHr9NM65dAIJyREsOH8MU+cMYec27yq93hDAdzcRiPQyNquDA3srufjaKVx09RSSUiM5+5LxzDgtkx2bvXtdiBP91+1pf2PtuOOTwyf7dwFwRspAQnTyLB2tttXzSsEXAFyaNJ+BQamylHs8VZbtLC69kpLWlShQMTL8JuYlvEy8cXy3TfL0NYVCSYJxAvMSXmZ67OPoVCE02A/wbek1FLb85NO6EwOiuTr1TADeLlxEpbVWlnK1KhXn9/PuGv3x/p2ylAm/XB+7D4lA5EQFGHVcfN1UZs4f1vmcUqmkobaFsAgTAB6Zeq1OJafGu0sfEmDScdHVk5l1xi+rBhQKBQ11reJEPwEej8Se8mpAvkCk1WlncbE3VfzFGfKkVpckiWf3fYTFbWNQUCoXJMmfFK2DW3KSXfcyS8tvw+KqIUiTyOmJrzEs7CqUp+huvQqFgmTTNBYmvUe0YQQuycLaqgfZUP0ELh8O1SyIm8LQ4HTsHgfP7PtItiGai9rPu1UVhVS2NctSZsf1caCmDotI935CtFo1Q4YnoVIpkSQJt8uNx+Ohoa6F+ETv5HUxfH408RfpZTQaNZkjk9Fo1EiShMvpzd/QUNdCbIJ37oA40Y+vqL6BNocDg0ZNv0h5VrUsLtqLxeUkLSiMsVGJspS5smYru80H0Ck1/GXA5ah8FBCYHSX8UHYjOY0fABIZQQtZkPQOEXr5997piYzqSObGP8+wsKsBBQeaF/ND2fWYHcU+qU+pUPKn/pdhUOnIbT7IovLVspSbFhTGuOhEPJLEZwW7ZSkzJjiQqEAjbkkir7JaljJPBW0tthM6TqFQoFKraKxvo6G+lVHj5U33fyoRn1g9UFvriZ/oao2KpsY2amuaGT1B3v1STkW724dlhsRGo1bJc/p/cmAnAJdkDJdlWKzF2cZbhd8AcHHSPGINkV0u81gONi/hu9JraLDvQ6cMYnrsY0yMvg+NsnuWBfcUSoWakeE3Mif+WfSqUBodB/mu9FoONv/ok/piDOFcl3Y2AO8VfUu5pUaWci/JGAHAZwW7ccvUK9o5PFMuApHcXaXcdeM7PPiXj3ntPz9SkF95Qq/bvukggUEGklK913Gz2UJpkTzDcqcKEYj0IPk5h7jnD+/y4J3eE/3A3ooTet32TQcxmvSkZngnMlra7BwqqfNlU3utnArvm35mvDyTPgua6thdX4VGqeTc9nH6rvq8bDlmZytJATGckzBDljL/V2nratZVP4JLshFrGM3C5P+SbJruk7p6i7iAMSxMeo8YQxYuyca66ofZ2/SZT+qaFzORkSEDcEou3i/+Tp4ykwcQrNVT3tbM5hp5Jt92BCI5fXzC6sbV+Txy16cMyIxn5Ng09u4u4++3f3BCAcW6lXmMmZgBwAevr+LCWU+xuH1hgeAlApEeYvPa/Tx458ek9Y9hxJhU8naV8Y87PjzhEz2rvdvv8/fXce60x/n8fflm5Z9KiuoaAMiIkiep1KoK7wTh8dHJhOu73pNgcdn4sXIDAFelLkSjlD/VT6P9IGurHgGgf/A5zIl/FqPaN70uvU2AOoI58c8yJPQyALbUPktxy0rZ61EoFFzb3iuyoW4XNbaGLpepV6mZleDtFV1dXtjl8gDSo7zDl0X1jbKU19t0zLfbvvkg/QfHcf3tc7n0+mk8/dZ1hIQZeeOZpZSX1R91fMf/t7XYqK5sorSolqvPeo6fvt3BQ89cyq33Luj236UnE4GIn3Ustd2x5SDpA2O56c55XHbDdJ555zrCIky8/hsnuqXNTnV5E1Xljdxw/ot88/Fm7n/yQv78j7O6/XeRQ1RYIOfPHs6c8QN9Un5x+xtqanioLOWtLvcuyZsWL8+KluXVm2lzW4k3RDE2TJ6U3Yezuc2srLgHl2QhxjCKcZF/PmVWxMhFqVCRFf5HBoVcBMD66v+j0S7PB/vh0kzxDA/pjweJxRVrZClzWnwaAKsr5Glvarh33llxfSMej/xpAWaMyeD82cOJiwyRvWw5dMy3y9tVRr/+3t4hp9OFSqXkzn+exb7ccrI3FuB2uY84XpIklEol9XUtFBfUsC+3nPOvmMj73/6ZcVPk3WTzVCDegfysY05B7s5S0g470ZVKJX/+x1nszy1n2/oDnZNS//dEb6hr4eD+KnZvL2H+OaP4cMlfmDKr9040TIkL466rZnH1mWNlL9vmdFFhbgHkCURsLidb2rvAp8Wldbk8t+Thm/JVAJwdPx2lzAGCR3KxuvLvtLoqMKnjmBb7fygVIrnysSgUCkZH3NI+TGNlVeXfcLhbZa/n7Hjv0NvSyg1YXCc2N+zXTIlNQQHkN9ZSY+l6exNCg1ArlVidLqpb5P/9L52fxV1XzaJ/cs/skeu48RswJJ4t6727Sms03gzW/QfHkzUhneXf7aKl2dp5/KfvrmX9z3sBCAkz8s9/XcQnP93FgvPlyy90qhGBiJ91nuiZCWz9nxM9Y1AcYyZlsPyH3Z0nuiRJfPnBBjauygcgONTI/U9cwJc/38u5l030zy/RS5Q0NAEQrNcREqDvcnmbq8uwu13EBQSRLsO+MpvqdlNtqydIbWRmtPyB2Nba56myZqNWGJgZ92SvTU7WXZQKNdNiHsaojqbZWcq66keQZFpu22F02CASDFFY3DaWVW/qcnlh+gCGhntvaNZUFnW5PI1KRUKo9zwp7oPDMx03fiPHptHU2MamNd69llwu73lw+U3T2Z9XQX1tS+fxu7OLeev5ZVja7AQFBzBxxiD/NL4XEYGIn3Wc6MNHp9JstrBxtTfA6DzRb5zOgbwK6mq8uQEUCgU7txTy2jNLaWu1ERhkYMps+bvwT0Udb6Qp4aGyrG7p6P6eGpcqS3lfl/8MwOlxk2XfVfeA+Vvyzd7kaJNj/kmoTiwlPBF6dSjTYx9DqdBS1raW3Y3vyVq+UqHkrPjpACwqX41bhkCno3dOrnkiKeEhABTV9a1ApGO4BaDfgFgGZSbwxX+9c++0Wm/6hNAwEzFxIeTt+mVy8F8eOJvHXryCAKOu29vcW4lAxI8OP9HTB8QwaGhi5yTTzhM93ERMfCh5u3850f/0j7N49PnLMZq6flffl5S294gkt7+xdtWGqhIApsowP6S4rYK9zUWoFSrOiJvS5fIOZ3HVsbn2PwCMCLueZJPYTfVkROgHMT7yLwDsqn9L9hwjM6PHEqgOoNpWz67Gfb/9gt8wNc57Pm6sKpFlu4eU9mHMkoa+EYi43R4kSUKl9ubu+f7LrdhtTqbPG0pVeRMfvrEK8N4UlpfW43Z7GDTsl/xBYRGBnTmdhBMjAhE/+N8TfcnX2disTmacNpTaKjMfvO69M+480V1uBmYmdL4+PDKQxJSTX/XhdLrk+QV6qZr2Me7ooK5vSOdwuylo8k4iHhER1+XytjbkessKHUCYzDvr7m54B7dkJ1Kf2Z64SzhZGcELSTBORsLDrvp3ZC1br9IyIcKbEnxbY16XyxsaHoNSoaDOZqHW1tbl8mLar5falq6X1ZN5PB48Hg8qlRKFQsGmNfu4+qzneOHx72lrtTFmYgaX3TCNj95cw8N//YSvPtzAfx5eRGJqJFGxXR/m7Phc6ItEINKN/vdE37r+ANed+zzP/d+3tLZYGT0xnUuum8pHb67hkbs/5ZuPN/HMI4uJTw4nNr5rkyt/+GobVy189oST8JyK6lotAESajF0u62BzPS7JQ6BGR6wMO+1mN3gnt40Jk3eicbPjEPvN3p2ZR4XfLFbIdMHI8OsBKGpdTqNdvs3lAEaHev/dt7WfB12hV2tICfS+X+Q3dj1xVsf1UtN66gYibrcHpVKJUqnk4P4q/nT1Gzx27+dMPy2Tz1bcTebIZHR6DfPPyeLOB84iJMzIuhV7GTMxncdevIKg4K4t3d+fV86frn6DVUtzZPqNehcxZb6buN3eAASguKCa5x77loL8Ss65ZDznXzGJoBDviXz6uaPRaNXk7Spl1U85jBiTyvV3zO1y/buzi6mvbeHN53/iiZev6nJ53cHlctPU6p2kG2IyoFZ3Lc15xx1dpKnr+T7yG72J0QaFRnZ5fkiby0qu2TuenxUqbyCyq+EtJNzEBYwjJmCkrGX3NWG6/iSbplPSuopdDW8xPfYx2coeEToAlUJJubWGSmsdsYau5bkZFBpFYXMD+Y01nUM1v1dkoDcQ6QjkfUHua/1kqVRKmhrbePGJ71m/Mo+Z84dx72PnExP3yw2gJEkoFApmnT6cWacPx+V0o9bI085tGwrYn1fB688sZezkjD437C4CkW6iUilpbrLwwhPfsXZ5HjPnD+WeR84jJv7oE33OghHMWTACp9OFRiPPP9HVf5zFuhV57NhcSPbGArJ6cDr45Zv38dGSbPKLazpXFSmVSgamRHHJvCzmjB/wu8qtbb+ji5ChR6TjTnNgaFSXy9rRmI8HDwmGqC5/AB2u0X6wc0fZUeE3yVZuXzY87HpKWldT0rqKBvt+wnTy5IQwqg0MCkolx3yQ7MY8Fhimdqm8gaGRfF+S3xkwd0VHj4gvhmZ8da2frOyNBTxy96dkDIrjufduoP/g+KOOOfyGQ5Ik2YIQgPOvnMTy73dRXlrPf1/7mT/8Zb5sZfcGIhDpJh0nevrAWJ577wYGDPntE12uIAQgJj6UhReO5asPN/Lm88sYOS6tR26O98XynTz/8RrOmj6Uq88cR1iQt/eiodnC1txSHn79R5parFwwZ8RJl90RiHTc4XXF3vY3eDkCkY7u+NEyD8vsrH8TkEg2zSBc75sEcX1NqC6NVNNsilqXsaP+TWbFPSVb2Vmhg8kxH2Rbw14WxHU1EPGel3tlGZrxXoNtDgcWh5MArabLZYJvr/WTldY/hv978QqGDE86oePlWCV3OK1WzS13n87fbv0viz7dwtwzR5KWIc/u4L2BCES6SVr/GB576UoGDzux3VnlPtEBLrl2KksX7aBwfxU7thR1poXvST74fhv3XjOb0ycf/aE8dVQ/BqVG8/qXG076zcnqcHZuZR5h7PrQTMdE1QEhXe/B2G325o/JCpUv34DN1Uhpmzdb54jwG2QrV4Dh4ddS3LqCQ23raHVWYtLEylJuVtgg3iv+lj1NBzp7R3+vASHeBGEHzfV4JAllF8oy6rTo1WpsLhf1rW0EhIX87rIO56tr/fcIDTcRGm7yeT2/JmtCOlNmDWbtijw+eXstf3v8Ar+2pzv1vFviU1RouOmEgxBfCQoJYPIs74fdtg0H/NqW42kwtzE47fh3AoPTYmgwn3wXcZvDAYACCNB2LUeHJEnU2rwrcGKNXVvh4vA4O/cZSTMl/MbRJ67GtgeQCNamEqJNka1cAYK1yUTovR+elZZs2cpNDohFiRKbx0G9w9ylsmLaJ1A7PG7M9q5lbFUoFATqvddMW3swLwdfXeu92flXTAJg6/oDfWqVowhE+pis8d65Ids3yTvrXy4ZyVF8/GP2MZexSZLExz9mk5508umg2+zeN1CDVoNS2bXeJrPDhrN9PLurG91VWuuQkAhQ6QnWyHdH5g1EIEovz47AwpFiA0YDUGXdJluZaqWKGL03Q2+FtWtDKlqVimCtd8JjnQxLeDuC9za7o8tldfDVtd6b9R8SR2i4CUubnd3ZJf5uTrcRQzN9zMixaSgUCooP1lBX00xElLw5K7rqr1fM4PZ/fcWGXUWMGZxEWPuyuAazhS25pdgdTp67+7yTLtfS3iNi7GJvCECd1fvGHqTVoVN17RLq+MCJM3R99c3haqy7AYgyDJOtTOEXMYYsdvMulZbtXR5GOVysIYIKWy0V1lqGhWR0qawIgxGzw0atrY0MujaE2HHdWGTsEfHVtd6bKZVKxk3pz4/fbGfTmvweOXzuC6JHpI8JCgkgY7A3AVdP7BUZlBbDZ09ezYVzR9JqtbNjXzk79pXTarVz0dyRfP6va3+1O/d4OoZm5Jho15EkKkLf9UmvhwcicnF77NTbvVsFROlFIOILUfpMVAotVncdZqd8d64d50FXe0QAItp76zoC564I0Hmvm47rSA6+utZ7uwnTvBPLN67a12cSnIkekT5o9Ph+7M8tJ3tTAXPP7Hm5JUKDArjiDHl3quy4k5OjR6S2/Y09wtD1QKTc6l19I2cgUm/fh0dyoleFEqg5enWW0HUqpY5IfSZV1u3UWHfJNg9H3kCkPf+HDEMzHdeNnHNEwDfXem83cmwaOp2G2mozhfur6DdAnsnQPVm39Ii89NJLpKSkoNfrGTduHFu2bOmOaoXjGDHWuynW3t2H/NySo/3xsc958NUlspfbEYgYtF2PvZvs3sRL4bqur77pmKgao5cvf0iD3TsROUI/xCerrwSvjgmrDfYC2crsOA9q7A1dLqujR6TBZu1yWR09iRYZe0R8da33djq9huFjvEnodmcX+7cx3cTngcinn37KnXfeyQMPPMD27dsZPnw4p512GjU1XU+0I/w+we1ZXO12ee9u5BAbGURUWNdTpv8vT3sXp1KGFOeu9h1SNcquJzRySd6ND/UqeXIzeMu0A6BV+nc54qmu4+/rkeT7cNYpveeBy+P+jSN/m7r9/JRjR9+OgFbOoQJfXeungtBwb2+W3dbz3qN9wedDM//5z3+44YYbuOaaawB49dVX+f7773n77be59957fV29cAwdm+25nF1/s5PbP244zSfldrx/ytFB8EtQ0/XCPO0fEkoZ7wkkybvsT6kQI6++pFB4ryOPJN8yy45zSo7goaMsjwzBQ8eZLueUBV9d66eCjhT3LlfPe4/2BZ/2iDgcDrKzs5k9e/YvFSqVzJ49m40bNx51vN1up7m5+YgvQX4aTcdJ3vU3u95GQdeDB6kzEOlyUXiQr6ems8z2XhYl3btfR1+jbL+P8yDfh0XHeSAhZ/AgQ1kdPSJdLkk4ER3v0c4eeLPoCz69Zaqrq8PtdhMdHX3E89HR0eTn5x91/OOPP85DDz3kyyb1GHU1zdTXthASZiQ6NqRb61apvW92PbFHBGDPgQo+WbqDnIIK6s3ejbbCgwPITI/jorkjGdY/7qTL7Hhjl6dHhPay5OsRkXMuhwdXe5miR8SXfNEj0hEoe2QcTvH0sKDmcL641uXgcropL6tHpVKSkCzf/K0T1bGPTU99j5Zbj1q+e99992E2mzu/ysrK/N0kn1m6aDu3X/k6n7y9ptvrPrzbr6ctD1u5dT83P/Y5dqeLS+dn8cBN83jgpnlcOj8Lu8PJHx77jBWb9590uZ1DMzK0sbMXQ4bSOod5ZB2aae8RUYgeEV/q6HHq+HvLUmZ7j4gcgYisQzPtp7qc7xa+utbl0FDfyo0XvMQfLnrZL/X3tUDEp7dMERERqFQqqqurj3i+urqamJij14frdDp0Op0vm9RjdNyt+GN4xOlon0OgVODxSKhUPWdlxaufr+ePF07m0vlZR/3sotNG8dGSbF7/agOzxp3crqdyvpF2/LVkudNUdJQl/3ngkfrGRDd/6eh5kpMcQzId5AhAfMlX17ocOq9Lj4TH4+n2DUId9r6T3h183COi1WrJyspixYoVnc95PB5WrFjBhAkTfFl1jxef5E3lXFbU9XwBJys/pxyA1IxoVKoe1SlGVV0zk0akHvfnk0akUll78vtw6NXemNsmw/4NQe2ps7u6hwdAqNab2bbO3tTlsjoEa5MBaLQXylamcLSm9r9vx99bDh3nQbgupMtlNTu852eIztDlsqzt141Bxh3BfXWtyyEs3IRarcLt9lBb3f1zFXN2eJPk9T/GLu2nIp9/Ct1555288cYbvPfee+zdu5ebb76Ztra2zlU0fVVqhnfeTFFBDR5P9/aK5O4qBWDwCW553Z0SY0L5aePR84c6/LhhL4kxoSddrl7jXRYpRyAS1v7G3mjven6GaJ03IO3IJyKHMN0AwJtPRJKhi184tnq7d9ggTNe1VOyH6zgPonQnf47/r4b28zNUK0Mg0p6HRy9jIOKra10OKrWK2ARv3cUF3ZtqorXFSkF+JQDDRx8/UDuV+Hw220UXXURtbS3//Oc/qaqqYsSIEfz4449HTWDta+ITw9Bo1disDqrKm4hLDOu2uvPaA5HMET0vELnt4qnc9ewituSUMjYzibAg73r6huY2Nu0pYV9xDU/96cyTLrfjTs7q7PpwRYiMgUiU3vtmV2tv7HJZHYK1SagUOlyShWbnIYK1Pe/fubdzexw0OryJzML1g2QrtyORWZS+6+8HHednqL7rgYits0dEvnw3vrrW5TJkeBJlxXXs2lbEuCndNzy0Z3sJHo9EQnJEj9sLzFe6ZVr9rbfeyq233todVfUaKrWK1Ixo9ueWk7urtNsCEavFTsG+KqBn9oiMH5bCe49czhfLdrJm+0Hqm9pn0ocEMDQ9jvuvn0tafPhJl2tozwwpRyASppcxENF5/93l7BFRKtSE6tKps+XSYN8vAhEfODyNvkktXwruX3pEZAhE2jOqhsowNGNpv27kDER8da3LZcTYNH5ctJ2dW7t3iHPn1iIAho9O6dZ6/Ums7/OjUePS2J9bzrYNB5izYES31LkvpxyP20NkdDBRMcHdUufJSosP5+6rZ8laZkeXstXR9aGZ0PbU7k12K26PB1UXJrJ13PlWy5DS+3Dhuv7tgcg+UgNn//YLhJNSa8sFIFLmNPo17T1jkfquD0l09ojIMUekc4sE+QIR8M21LpcR7WnWD+6rwtzYRnBo1/eWOhG72gOREWPSuqW+nqBnzVTsY8ZO9nb3bViVT+UheT+IjmfVTzkAZI7sW3fJv2xj7sDj6dpqghCdHqVCgQTU2yxdKitG773ja3Q00+Ls+uZkHcJ13uGC8rYtPW6J9qmgtHU1AJH6TNnKdHpcVLZvdtdxXvxeDrebRrv33JRjl+iOXXflnKza04WGmzrn8i35Ortb6szfc4iigmqUSgXD+lCPiAhE/GjwsERGjEnFYXfx8lM/+PwDo7qyiZ8W7wBg4QVjfVpXTxMa4F3p4pYkmm32LpWlUapIMoUAUNBc36WyAjVGkgK8S9l3Nx3oUlmHSzJNRanQ0ug4QI1tt2zlClBj3UONbRdK1KQFzZet3P0tJdg9ToI0xi7vxlzS0ohbkjBptER2cZdoSZJobGvf6NHY9Y0ee5Pzr5gEwKfvrqOpodWndUmSxOvPLAVg9oIRhHRTD0xPIAIRP1IoFNxyzxmo1Sq2rD/Ahp+PP4NcDp+8vQa328PIcWkM6YETVX1Jq1YT2J6jpqGta70YAOnB3jvWgqa6Lpc1PMTbM7azSb7kTTpVEP0CvXt57Gl4X7ZyBchp/C8A/YLmY1R3LWA43K72f//hIf27nPL/gNl7XvYLDu/y0FGzzY6zfWVfXwtEZs4fSsagOCxtdt5/9Wef1rX+573k7ipFp9Nw1c0zfVpXTyMCET9LSo3kgqu8UffL//4Bq6Vrd+vHU1PZxE+LdwJw+Q3TfVJHTxdu8r6J1skSiHjTPh8wd61HBH4JRHbJGIgAZIZegQIl5ZaN1Nv2yVp2X9VkL6KsbR2gYEjopbKWvbOxPRAJ7voKjQPtAXJGcNfTk9e3Xy8mnRZdHxqaAe/eaDfd6Q3ol3ydTfFB3yzldTpdvPX8MgDOu2Jin1kt00EEIj3AJddOJSY+lLrqZj58Y7VP6vjknbW4XG5GjE0jc6R8CZjkVlrZyHMfrebDH7bJXna40TtpT44ekYwQb4/IARl6RIaFZKBEQbm1hlqbfMt4g7QJpLRPVN3T+J5s5fZlOY0fApBknCZrIjOb286+lmIAhod2PRApaA+QZQlEWttXs/igN+TzZTt47qPVFJR1f2LHEzV0VAqTZgzC45F449mlPqnjhy+3UVHWQEiYkQuunOSTOnoyEYj0ADq9hj/edToAX324kYP7q2Qtv7qyiaWLvHNDLr9xuqxly62qvpmPlmTzw7o82csOa38jrZcjEGl/gy8wdz0QMaoNZAR6h8rkHJ4BGBp6BQAlratFptUuanVWUdji/SDKDLtc1rJzzYW4JDeRulBi9V0PHjqGZjoC5q7ouF58EYj8tHEfHy3J5lB1k+xly+m62+egVqvYtqGArevlm8sF0NJs5YPXvTegV/5hBgHGvrHNyeFEINJDjJvSn0kzBuF2e/jnHR/KtorG5XTz1D++8vaGjEllaA/uDfG1SJN38ldNS9dXp/QLDkepUFBns1BlaelyeSNDBwKwrm5Hl8s6XKiuH0nGaYDE+upHcXscspbfV0iShw3VjyPhJsYwikj9YFnLX1+3E4ARIf27PKfD6nJysKNHJKTrQU3H9RJh6lvzQw4XnxTOmRd5J/g/9Y+vOFTS9RsQ8A7JPHrPZzSbLSSlRjLvrFGylNvbiECkB7nj/oUk94uirqaZe25+j5qqru+z8NYLy8jZUUKAUcdt9y2QoZW9V0KoN29KWUNTl8syarQMCfMu7dtYVdLl8mZGjwEgu2EvlVZ53uQ6jIm8A50yiHp7Plvrnpe17L4kzjgOjdLEuMi/yFpuq8vCqhrvUOTsmPFdLm9rzSGcHg9xAUEkGLueK6issQmApLCQLpfVm11180z6D46j2Wzh77d90OVVNJIk8fxj37FzSyF6g5Z7Hj0Plbpv7pgtApEeJDjUyOMvXUl8UjjVFU3ce/N7NNT9vrttl9PN4s8289WHGwH464PnkJDc9buj3iy5/Y20RIZABGBijLd3aX1l1wOReEMUo0IHIiHxQ+W6Lpd3OJMmhskxDwCwz/wVhS0/yVp+X6BQKMkMvZTzUr4gRCfv/h8rqrdg9zhJDohlSFDXk1htaD8fJ8QmyZJsrbTBe0PU1wMRvUHLw89eRkx8KJXljfzjTx9hs/6+HsbaajPPP/YtPy3egVKp4P4nLiB9oHwZensbEYj0MOGRgTzxylVEx4ZQXlrPXTe+y5KvszE3nthwQmN9Kx++sYorFz7DS0/+AMCFV01m0kz59sPorRLbe0RKG8yy5GyZFJsCeN/45SjvjLgpACyr2oTdLe8QSoJxAkNDrwJgY/WTNDmKZS3/VPFbmwTqVPKuZpAkie8rvIHnGXGTZQkcNlQVAzApJqXLZcEvgXtSaM/MxNydQsNN/N8LlxMUHMD+3HIevutTDuytOOGNSw/sreDJv3/JVQuf5YevvEnS/njX6Z3JLfuqvrUWq5eIignmyVev4i/Xv82hkjqefXQxzz/2LcOyUpg8czATZwwiPDLwiNfk5xxi8aebWbMsF6fTDXgvmjMvGstFV032x6/R43QEIi12O01WG6EBXUt9PSYqAa1SRYWlmeKWRlKDurY/yJiwIUTpwqixN7CmdjtzZOimP9yI8OupteVQZc1mVeX9nJH4Jhpl19N/nypyGj7A6q4nXDeQ6IBRGNWRSJIHRRdzevyaXU37KbfWYFDpmBE1psvlme029tR7J7tPjO36fDCX20N5o+gROVxCcgQPPXsp9/zhXbI3FpC9sYCwcBNjJmcwdnJ/Ro3rd8SEU4/Hw5Z1B/jygw3szi7ufH5YVgoXXDmpzwchIAKRHis2IYwXP7iJpYt3sG5FHgX5lezcWsTOrUW89NQPDB6WSNYE7wn/84972Jdb3vnagZkJnHXROKbMGYymj637/zUGrYaoQCM1LW2UNZi7HIgY1BpGRcazqbqU9ZUlXQ5EVAol82Mn8V7xt3xXsZbZ0eNk3cdEqVAxNeYhvi29GrOjiI3VTzAl5gGfftD2BhWWrayvfpQAVSQB6khK29YSZRnaLX+b79uH4WZGjSFAre9yeZuqS5GAtKAwYgICf/P431LV3ILT40GrUhET1PXyThWDhyXy+EtX8uUHG9i+uZCG+laWLtrB0kU7UKtVZI5KZvDQBJoa29idXcyhEu/kYZVKydQ5Qzjv8olkDIrz82/Rc4hPqR4sLCKQS66dyiXXTqXyUAPrVu5l/co89u45RO6uUnJ3lXYeq9GomDo3k7MuGseAIfF+bHXPlhwWSk1LGwfr6hmWENPl8qbEpbCpupSlpfu5fMDILpd3WuwEPipZQkFrGRvrdzMxYniXyzycQR3GtNiHWXroNopal6GsVjMh+l5UCnk3M+stbO4mchs/IiPoTIaHXYOERE7jf6mwbMHmbkKnDJY1GDxcQUsZG+u86fc7huW66qcy7/Lvye3Dhl11sNa7ei8pLBil0jd/h94qc2QymSOTcThc7NlewpZ1+9mybj8VZQ3s3FLIzi2/LJc3mvScfm4WZ140rsduNupPIhDpJWITwrjgyklccOUkaqvNbFqzjz3bS2gxW8ma0I/ZZwwnJMzk72b2eINjI9lacojcihrOGTGky+UtSBnEv3asYX1VMVWWli7fhQZrTJybMJNPy37izYNfkxU6CJ1K2+V2Hi7aMILJMf9gXdUjHGxZgtlRwtTYhwnU9L07NKurnhrrLoaEXopCoUQBaJQBhGj7oVeFdB4nSZKsAYlH8vDawS+RkJgemUWysesTFducDpaUeDPonpUqz/LinIpqAAbHRslS3qlIq1WTNb4fWeP7cfNf53OopI7sTQfZu7uM/oPj0Ok1zJg3rE/mBzlRIhDphSKjg1l4wdg+t3GdHIbEepfc5lZWy1JecmAoY6MT2VJdxlcHc/jj0AldLvPCpDmsrNlKtb2BLw+t4NJk+TZW65AWOBet0sTaqoeos+fxbenVTIr+G8mm6bLX1ZN5JBfh+kHsa/qaEG0qB8zfsrPhTUK1aSwpu5l44ziGhV0te70/VK4nr7kQvVLL1alnylNmST4Wl5PUwFBGRcrTK9pxnWTGRctSXl+QkBxBQnIEZ100zt9N6TX69uCw0Od0vKHurazF5T6xme6/5fx+QwH44uAeWVbP6FU6rks7C4DPy5bLnlekQ4JxIguT3iVSPwSnp5VVlX9jc81/+lTSs3D9APoHn4VbsrO68u/kmz9nWszDTIi6hyTTFHbUv0FF2xYUCoVsu2PX2hp5t2gxAFelLiRSHypLuV8ezAHg/PShsvXedPSIdATwguALIhAR+pSU8FACtBpsLheFdfJkrz09eQAGtYbC5gZ21FXIUubkiJEMC87A4XHy3P6P8PzGstLfy6SJZV7CK2SGXgZAvvkLfjh0E82OQz6pzx9qbXlYXUdvTtgRWKQFzmVa7COAgnGRfyUlcBaRhkwGhVxEXMCYzrwrcny4S5LESwWfYXXbGRSUKtvckLKWJjZVl6IAzknLlKXMmpZWalraUCoUDIyRb5dhQfhfIhAR+hSlUsHgGO94t1zDMyaNjvlJAwD4vGCPLGUqFApu738xOqWWPeYCvqtYK0u5x6JUqMmKuIVZcf9Gpwymwb6P78qu5oD529/Mq9GTFbb8xKeFC1hX9TCLSi5nZ/2btDorAdqX5f4SWDg9FjySE43SeNhzbVhdDYTq0mVr088129jakItaoeL2/pegkmlVzpeF3t6QSbEpxBnlyXWSW+HdabZfRBhGnbzzlAThcCIQEfqczHhvN/P2Unl6L8DbHQ7wdWEONdaupX7uEGuI5OrUhQC8Wfg12Q17ZSn3eLxDNe8RpR+O02NhQ83jfFd2HYUtP+GWnD6tW24N9gPsaXiPYWFXMzPuKUaE38DB5h/ZWf8mTk8bCoXyf4IsCYenlQrLZupsedjcTexpeB8JN1GGobK0Kb+5iBcOfALAxUmnkRTQ9VVb4J2k+sG+7cAvw4Ry2F7mvT6GiPkhgo+JQETocyakene6XX+wVLZx/wnRSYyIiMPmdvHyno2ylAmwMG4qM6PG4JY8PJb3FgUtZbKVfSxGTRSnJbzA6Ijb0CiNNNj3sbbqQb4sOped9W9hcflmvorcvMGEmfSg0wnWJjEw5FyGhl2J2VFCTuOHncdJkgdJkghQRzIo5EIqLJtZVXk/P5TdSKV1G1NiHiBS3/XVVZXWWh7KfR2Hx8nosMFcmDSny2V2eC8/mzqbheTAEM5IGShbuZsKvekBxqUmyFamIByLCESEPmdMSgIalYoKczPF9U2ylKlQKPjriKkAfLR/JxVtzbKVe3v/SxgRMgCbx8EDOa9SbTt6voOclAo1Q0Iv4ZzkTxkRdj0GVQRWdz27Gt7ii6JzWFP5ADVWeSbm+orLYyNYm4zLY+t8LjVwNjEBIylrXUuDvcC7XFehRMKbiXhgyLnMivs346PuZnzUXSxMepcwXdezXjY72/hnzqs0O9voZ0rg3kHXoFLIs7lZi8PO67mbAbhj2GQ0SnnKNVttnRNVOwJ3QfAVEYgIfU6AVkNWkjdnxvqDXd+wrsOk2GTGRifi8Lh5cc8G2crVKNXcP/haUo1xNDlb+OeeV2h2ntjeQ11hUIcxPPxazkv9kqkxDxOlH4aEm6LWZSw5dBPflV3LfvNiLK5an7flZAVqEqi37aPV+cvwm0YZQIJxElpVEGWtawCot+Wzre5F6m35gHfyboJxAnEBXU+3DuDwOHkk9w0qrLVE6kJ5cMhNGFTy5ZN4e+9Wmhw2+gWHy5Y7BGBTURkS3vkhMcEio6rgWyIQEfqkSf3ad86VMRBRKBT8ZYR3FcRnB3ZT1tIkW9kBagMPZd5MpC6UQ9YaHs59XfaN8Y5HpdCQGjib+YmvsiDxHdKDFqBSaGmw72NjzRN8XnQW35RcxpbaZylrXY/T4/sg6bckmiYRqIkjr+nTI+a3RBtGoFboaWkPUNpc1RS1LKPeni97GzySh6fz/0tecyFGlYGHMv9AmE6+rJpNditv5m0F4M/DJ6NSyvd2vqH9upjYT/SGCL4nAhGhT+oIRDYXl+FwuWUrd1x0ElNiU3BJHp7dvU62cgHCdcE8lPkHjGoDe5uLeCr/PZye7p1EGq4fwKTov3F+6iJGhd9MuG4QoMDsKGJv02esrLyLjw/OY0nZH8iue4WSlp+ps+VhcdXikbr2d/ZIbtqc1VRZd1DQ/AM7699iZcW9x+2RyYq4heLWlZS1rsEjuTqfN6jDaXZ6P2iTTNOYFfdv+gef3aW2/S+35Oa1g1+yrm4naoWK+4dcJ0v21MO9nruFFqedgaGRnJ4s39wQgI3t80MmpnV94zxB+C0is6rQJw2MjiTCGEBdm4VNRaVMzUiVrew7R0xlbWUxXx7M4cL0YYyLlu+uMtkYyz8GX8/f97zMpvo9PJDzGvcOuoYgjfG3XywjvSqYoWFXMDTsCuzuZiot26i0bKPCuoVWZwU1tt3U2HYf8RoFKgzqcIxq7+ZyAeoodKpgkCQkPN4v6chHp8dCq7OSVlcFbc5qPLiOakti2yQyghce9Xy8cRwZQQvJrn8Ft+Qg2TQTp6cVs6OYtMB5ncdF6AfJ+rdpcDTz1N532WMuAOCO/pcwPETeHVZz6qs654b8efgUlDKmn99XXUdpoxmNSsWYFDFRVfA9EYgIfZJSqWDu4Aw+2rqL7/bkyxqIjIyM45KM4Xx8YBf3bFjCkoXXYlDLt6nc0JAMHsy8if/Le4tdTfu5fftT3D3wKgYHp8lWx8nQqYJICZxJSuBMAFqc5VRZdlBr20OjoxCLqxarqw4JNxZXDRZXze+uS4EKkyYGkzoWkyaWIE0iUYZhxz1+QtQ9bKx5gm11L7DP/BUtzgqCNIkkmab+7jb8mlzzQZ7Y+w4NjmYMKh139L+UKZFd3wzxcFaXkzvWfYtL8jAvqT9zEzNkLf+73d5l4tMyUjCJ/CFCNxCBiNBnLRw2kI+27mL53oNYHE4CtPIFC/dlzeDn8kKKWxp5eOsKHp8w77dfdBJGhg7kqeF/4vG9b1NhreWeXc9zZeoZnJcwC6WPt67/LYGaeAKD48kIXtD5nEdyY3M30OaqbQ9GvI92dwsKlO0bznU8KlCgQqFQoFLoMWliOwOPAHUkypNYcaJQKBgbeScDgs+l0VGAVmkiyTRN9t9ZkiS+Kf+ZtwsX48FDUkAMfxt8HYkB8ufgeCz7Zw6a64kymHh8/Hx5N+PzSHy3x7tx3oKh8g73CMLxiEBE6LNGJMSSGBpMWaOZlfsOyvrGG6TV8/SkM7h82Sd8fGAnk2NTZM3xAJBmiue5kXfx4oFPWV2bzbtF37KnqYC/DLicYG3PWumgVKjah2MiAflWd5wItVJHuH4A4foBPinf4rLy7P6PWF+3C4BpkVnc1v9iWVfHdPj50EH+25687N+TziBUb5C1/OzSciqbWzDptMzo758eNqHvEZNVhT5LoVB0Bh/f7pZ/1cSk2BT+kDkegHs3LuFQq1n2OgLUeu4aeCW3Z1yMVqkhu3Evt21/ipymAtnrEo5W3FbBn3Y8zfq6XagVKm5OP5+7Bl7pkyCkztrGXRu+B+CaQaOZGiffcGKHb/d4r4O5gzLQacR9qtA9RCAi9GkL2wOR9QdLaGizyF7+nSOmMCIijhanndvWLMLmPnqyZVcpFApOi53IMyP/QoIhmnqHmft2v8D7Rd912xLfvsbpcbK4fDV37vgP5dYaInWhPDn8DhbETZV1qKSD2+Ph7g0/UGez0D8kgntGTZe9DofLxdLc/YB32FIQuosIRIQ+LS0yjMy4aFweDx9v3f3bLzhJGqWKF6acSaBGx466Cm5d/Q1Oj3zLhQ+XYozj2VF/ZVbUWDxIfFr2E3/MfpzlVZtxd3HprODl8rhZWrmRG7Y+ymsHv8TucTAyZADPjbqLgUEpPqlTkiT+seUnVpYfRKtU8ezkhehV8vdWLNq1F7PNTnSgibFitYzQjUQgIvR5107MAuD9zTtos8vfg5AYGMLrM85Fp1Kz/FABf1n3PW6Pb3a1Nah03Dnwcv426FrCtcFU2ep5Zv+H3Lj1UZZWbsTpkb9Hpi9wSx5+rt7Kzdse4/kDH1NrbyRcG8wt6Rfy0NCbCdaYfFb3M7vW8dH+nSiAZyYvZHCY/BNgXW4Pb6zzJke7esIoWZOjCcJvEYOAQp932uAMksNCKGlo4rPsPVzTHpjIaUJMMq9MO5sbf/6KxcV5GDVaHht/mk+68QEmRY5gVNggvq9Yy1eHVlJlq+f5Ax/zcemPXJg4hzkx49Ao5VsldKqSJIkN9bv5sPgHSiyVAARrTFyYOIf5sZPQqXy7vPXdvdt4fvd6AB4eN1f2Cc8dfszbT2mjmWCDnguz5NvBVxBOhAh7hT5PpVRy/aTRALyzMRuHyze9BjMT0nlm8kIUwMcHdvJ49s8+3TjOoNJxfuJs3h77ANennU2oNohaeyMvFXzGdVse5tvyNTi6OTNrb+H0uFhfu5M7dvyLx/LeosRSiVFt4KqUBbw19gHOTpjh8yBkUWEuD21dDnhTuF8xYJRP6vF4JF5buwWAq8aPxChyhwjdTPSICAJw1vBBvLhqE9UtrXyza6/P7goXpg7C4nJwz8YlvJ63hUCtjtuGTfJJXR30Kh3nJMzk9NjJLK3ayBdly6l3mHn14Bd8UrqUGdFjmB09lhRjnE/b0RuUWqr4qWoTK6u3YHa2At6A7qz46ZyTMAOTOqBb2vHZgV3cu+lHJOCqAaO43YfnyKoDhRyoqceo1XLZ2BE+q0cQjkcEIoIAaNVqrp2YxeNLV/Pmuq2cM2IwGpU8W6r/r4syhtPqdPDIthU8vXMtrU4Hd42chtrH4/I6lZYz46cxL3Yiy6o28XnZcmrtjXx9aCVfH1pJmjGeKZEjmRQxgviAKJ+2pSdpsJtZV7eT1TXZ5LcUdz4fqg1iTvR4zo6f1m15WSRJ4uWcTfxrx2oALskYzgNj5/hsCE+SJF5d4+0NuXTMMIINep/UIwi/RgQigtDugqyhvLZ2C6WNZt7ekM1NU8b6rK7rBo/B5nbyrx1reC13M9try3l+ypnEGoN8VmcHrVLDGXFTmBszgW0Neayo3sLWhlwK28opbCvnveLvSDHGMSliOBPCh5FsjPV7tlY5uSUPRa3l7DEXsLl+Dznmg0h4h8iUKBkTPpi5MRMYEzYY1Ulkce0qs8PGX9Z9x/JD3hwwNwwey9+yZvgsCAFYvHsvu8ur0KvVXDXBN0M/gvBbRCAiCO0CtBrunjuVe79ZykurNjFvcH+Sw0N8Vt8tQyeSHBjKvRuXsLXmEKd/9w5PTzqDmQnpPqvzcBqlmgkRw5gQMQyzs5WNdbtZX7eTXU37KW6roLitgg9LlmBSBzAoKJXBQWkMDk6jf2AS2l400dUtuSlsDzz2NB0g11xIm9t6xDEDA1OYEjmSqZGjCNMFd3sbc+qruHn115S1mtEqVTw4dg6XZAz3aRDSbLXx1E9rAfjjtHFEmLp340RB6CACEUE4zFnDB7F49142FJby4HfLefvK83z6YbAgZRBDw2O4ZfU35DRUc+3KL7hx8FjuGjUNjbL77saDNSbmxU5kXuxEWpxtbKrPYX3dTnY37afVZWFrQy5bG3IBUCtUpAcmMiSoHwMCk0kIiCbWENEjghO720G5tZYySxVllmoOtJaSZy7E4rYdcVyASs+Q4H4MD8lgUsQIovRhfmmvJEl8cmAXD2xZhsPjJtEUzCvTziEzPMbndT+zYj31bRbSIsK4eoL8K8UE4USJQEQQDqNQKHhwwSwWvvw+G4vKWLRrL2eP8O3eKMmBoXw5/woez/6Zd/OzeT1vC1trDvHC1LNIMHX/3XmgxsicmHHMiRmHy+PmYOsh8poLvV/mQpqcLeQ3F5PfXNz5GgUKInWhxBkiiTNEEm+IJM4QRYw+DJPGSKDaIMtyYYfHidnRitnZSrOzlVp7E2XW6s7Ao8bW0DnMcjijysCQ4H4MDUlnaHA6aaYEVH4ebrK6nNy/aSlfFeYAMDshnacnLSBY5/t5GpuKyvh4mzeB3z/PmIlW3X1BryD8LxGICML/SAoL4dbpE3h6+ToeX7qaKekphJt8u1pCp1Lz4Ng5jI9J4u4NP7CjroLTv3ubf008g9OS+vu07l+jVqoYEJTMgKBkzmEGkiRRaasjz1xIXnMRB1vLqLDWYnHbqLE3UGNvYGfTvmOWpVNqMakNBGqMmNQGTOoA9CodSN7QQWr/zyN5v/NIEk6Pi2ZXa2fwYfP8dsI5kzqAxIBoEgOiSQ6IJTM4nVRTvN8Dj8NtrCrh/k1LKWxuQKlQcNfIadw0ZBxKH/a+dWi1O7h/0U8AXJQ1lPGpiT6vUxB+jQhEBOEYrp4wiu/37CO/upb7vlnKK5ee1S3ZJuclDWBIWDS3rlnErrpKblr1FfOTBvCXkVNJDw73ef2/RaFQdPZ6zI4ZB3iHF8zOViqstZRba6mw1rQ/1lJrb6TNZUVCwu5xYHc4qHd0bfM/tUJFkMZIsMZEqDaIBEN0Z+CRGBBDsMbk0+G0rjjUaubpnWv4utA7zBVlMPHclIVMiEnulvolSeKxJasob2omPiSIu+ZO7ZZ6BeHXiEBEEI5Bo1Lx5DmnccEbH7OmoJjHflzN3+dP75YPuERTCJ+fdjlP71zDG3lbWFK6j6Vl+zkvLZM7hk/2y3DNr1EoFIRoAwnRBjI4+Oit4z2SB4vbRovTQqvrl68WpwWbx4EC79BOx8ocb6+AAiUK1EoVwRoTQRoTwe1fASp9jw00jqfRZuWlnA28n78dR/teQ5f3H8ndo6YRpO2+JbNvrNvKVztzUQCPnTUXk0heJvQAIhARhOMYEBPJU+fO48+ff8+HW3YSFxzIde0ZWH1Nq1JxX9YMzk3L5Omda/ip7ACfH9zDN0W5XNZ/JH8cOoEog+/2N5GTUqHEpA7otmRgPYnV5eTtvdt4NWcTLU47ABNjkrl31HSGRcR2a1sW79rLf1Z408XfP38G48SQjNBDiEBEEH7FvCH9qWpu5Ymlq/nXsrXEBAVyxtAB3Vb/gNBIXp9xHjtqK3h65xrWVRbzbn42nxbs5pqBo7lpyLhumdwonJwWh50vD+7hlZxNVFu9GVoHh0Zxb9YMpsSmdHuPzsbC0s55IddOzOLycSO6tX5B+DUiEBGE33D1hFFUNDXz/uYd3PvNUiIDjd2+TfrIyDg+mHMxGyqLeWrHGnbWVfByzkb+u28756QN4dL+IxgY2neyofZU+5tqeT9/O18X5tLm8k6sTTAF89cRUzkzdXC3TEb9X/uqarnt029xejycPqQ/f509pdvbIAi/RgQignAC7jltKpXNLSzbW8Ctnyzmo2svIj2q+yePToxN4euYZJYfKuDpHWvIb6rl/X3beX/fdrIi47ms/0hOTx6AXu3/nB59hdPjZlnZAd7Lz2ZzdVnn8+nB4Vw1IIsLM4ahU/nnrbbS3MKNH35Dq93BmOQEnjjnNJTK3jW/Rjj1+ezqKC4u5pFHHmHlypVUVVURFxfH5Zdfzv33349WKyZICb2LSqnkX+fO55r3v2BHWSU3fPA17151vk8zrx6PQqFgTmIGsxLS2VBZwof7d7Cs7ADZteVk15bz0NblLEwZxDn9MhkVEdfrJnb2BpIkkd9Uy7dFe/ny4J7O4RelQsHcxAyuHDCKCTHJfv3b17W2ceMHX1Pd0kp6ZBgvXrwQrVrcewo9j8/Oyvz8fDweD6+99hrp6enk5ORwww030NbWxr///W9fVSsIPqPXqHn5krO49K1PKapv5JK3PuG1y85maLzvs2Aei1KhYHJcCpPjUqixtPJZwW4+PrCT8rZmPti/gw/27yDJFMLMhH5Mi09jQnSS6CnpArvbxcaqUlYeKmDFoQLK25o7fxahD+DijBFc2n8Ecd2wX9Bv2VNexR2ffUeFuYVIk5HXLjtHbGgn9Fg+C0TmzZvHvHnzOr9PS0tj3759vPLKKyIQEXqt0AAD7199ATd9+A15VTVc9e4XPHzmbBYMHejXdkUFmLh12ERuzhzPhqoSvi7M4cfS/ZS2NvFufjbv5mejU6kZH53EtPhUpsf3IzUwVPSW/IY6axsryw+y4lABayuKsLicnT/TqdRMiU3h3H6ZzEpI99vwy+EkSeLT7D3835JVON1uksNCeP2yc4gP8X9wJAjH061XjtlsJizMP3s6CIJcIgONvH/NBdz+6bdsKCzlr18uYXNRGffPn4Fe498PI5VSyZS4VKbEpfKo08HaymJWlReyuryQCkszqysKWV1RyMNbV5BkCmFqXCojIuMYHh5Lv+Bwv0ym7Ck8kkRhcwM7asvZUVfB9tpy9jXWHpEwPspgYlZCP2YlpDMpNgVDD+phsjqcPPj9Chbt2gvAnIHpPHb2XAL1Oj+3TBB+Xbe9axYUFPDCCy/8am+I3W7Hbrd3ft/c3HzcYwXBn0w6La9fdg4vr97EK2s28/n2HHYequTZC86gX6T/M6ACBGi0nJbUn9OS+iNJEgfMdawqL2RVeSFba8oobW3qHMIBMGm0ZIbFMDwiluERsQwLjyXeGHRK9ppIkkStrY29DTWdQcfOugqaHfajjs0Mi2ZWQjqzEzMYEhbdI4O14vpGbv/0O/bX1KFSKLhz9mSunZh1Sv7bCaeekw5E7r33Xp588slfPWbv3r0MHPhLV3V5eTnz5s3jggsu4IYbbjju6x5//HEeeuihk22SIPiFWqXk9pkTGZ0cz91f/ciBmnrOf/0j/nnGTM4ZMcTfzTuCQqGgf0gk/UMiuXHIOFqddtZXlrCluozd9ZXkNFTT6nSwqbqUTdWlna8L1RlIDQojJTCU1KDQw/4/DKOm5086d7jdlLY0UtBcz0FzAwfN9RQ2ex87EowdTq9SMyw8hpGR8YyMiGNUZDxRAT07cdyyvQXc981SWu0OIowB/OeCM7p9ebkgdIVCkqSjt6r8FbW1tdTX1//qMWlpaZ0rYyoqKpg+fTrjx4/n3XffRfkr+3Ucq0ckMTERs9lMUJAY4+wLtuSUcNuTX5KeGMGHj13p7+acsNqWNu7+agkbi7zLN08f0p/75k0nMtDo55adGJfHwwFzHbvrKtlVX8nuukryG2txSZ7jvibSYCTRFEKkwUiE3tj5GGEIIFJvJNJgIlRnIECtkXWfHofbTZvTQavLjtluo9baRrW1lRprKzWW1iP+v8baivs4b3EKvDsfj4iIY1RkHCMj4xkYGolG2Tt2om212fnPivV8tHUXAFlJcTxzwRlEBfbswOlwNzz8CbsPVPDkHQuZPjrD380RZNTc3ExwcPAJfX6fdI9IZGQkkZGRJ3RseXk5M2bMICsri3feeedXgxAAnU6HTifGM4XeJzLQyJtXnMtra7fw4qpN/JC7n7UFJdwxcyIXZg3t8dusq5VKBoVGMSg0iosyhgNgc7s4aK6nuLmRouYGiloaKG5upLilkXqbhVprG7XWthMqX6tUEaDWEKDWoler2/9fg06l9u68e/gOvFLHTrzeAKnN6aDVacfictLmdHTu1XKiTBotaUFh9AsO73zsFxROclAo+h4wwfRk2ZwuPt66i9fXbaXRYgW8Sff+MnsyGlXPPs8E4Vh8dhWWl5czffp0kpOT+fe//01tbW3nz2Ji/LPcURB8SaVU8sdp45makcqD360gp6KaR5f8zNsbtnHD5DGcN3JIr8rjoFepGRIWzZCw6KN+ZnbYKGlupLzNTJ3VQq2tlVqrhTpbG3XWNmrbH21uFwAOjxuHw02TwyZb+3QqNYEaHdEBJqIMJqINJqICjEQZAokyGIkOCCSm/WenwlwJh8vNF9tzeGXNZmpbvQFgSngoD5wxkwlpSX5unSD8fj57V1y2bBkFBQUUFBSQkHDkeOVJjgYJQq+SGRfNp9dfzKfb9vDKmk1UmFt46PuVvLpmC9dNGs2FWUP9vrqmq4K1eoZFxP7qxm2SJGF3u7C4nFhcTqztX5bDHu1uFwqFd/ddBYBC0bkbr0IBaoUSo0aLUaPFpNFiVGsxaXQEaDS9Zgilq1xuD4t37+Wl1Zsob/JO4I8LDuSWaeM5a/hg1Cr5hr0EwR989m549dVXc/XVV/uqeEHo0VRKJZeOHc65I4fwxfYc3ly/larmVh77cRWvr93CNROzuHj0MIyn8DbsCoUCvVqDXq1BLNo/eR6PxI95+3nh540U1TcCEGkK4A9Tx3HBqMxe1bsmCL9GnMmC4EN6jZrLx43gwqxMvtqZxxvrtlLe1My/lq3ljXVbuXrCKM4flUmEqXdMahV8r9Fi5eudeXyWvYfi9gAkxKDnhsljuHTMcAzanpO7RBDkIAIRQegGWrWai0cP47yRQ1i8O5/X126hpKGJZ1du4MVVm5jUL5kFQwcyc0DaKd1LIhybw+VmbUExi3fv5ed9hTjc3gm5Jp2WayZkcdX4kZhEYjLhFCUCEUHoRhqVivNGDuGsYYNYkruPD7fsYuehSlYfKGL1gSIMGjUzB/RjwdCBTOqX3ONX2/RFFU3N1LdZSAgJJtRo+N3lSJLEzkOVLN61lx9y92O2/jKRd3BsFBdlDeWMoQMxicBUOMWJQEQQ/ECtUrJw2CAWDhtEYW0D3+Xk8/2efZQ0NPF9zj6+z9lHsEHP3EHpTOqXzLjUREIDfv+HntA1hxrN/HfzTpbtPUCbw0mIQU9aRBhXjBvBxH7JJ1xOo8XKxsJS1hWUsP5gCdUtrZ0/izQZWTB0IGcOG8ig2Chf/BqC0COJQEQQ/CwtMozbZ0zktukTyKmo5rs9+fyQs4/aVgufb8/h8+05KIBBsVFMTEtiQloSoxLjxFyBLpIkibzKGlbkH6SmpY2ZA9OYlpF6RPI1j0dCqVSQV1lDRVMz/zxjJmNTEqlqbuGh71by3MoNDIyJJMwYcMw6XG4Pu8urWFdQzLqDJewprzpi7xqDRs2cQemcOWwwE9ISZU38Jgi9hQhEBKGHUCgUDI2PYWh8DHfPncrmojJW7S9iY2EpB2rryausIa+yhjfXb0OjUjEqMY5xqQlkxkUzJDaacNOxPwyFY9t5qJInflyNUaclSK/jyaVr2FxUxn3zpnceo1R684+MT01kdHI8YcYAPB6JtIgw/jJ7Mn/46BuqmluPGYjsrazhyne/oMV+ZCr5jMhwJqUnM7lfCqOT43v9Um5B6CpxBQhCD6RSKpnYL7mz27+mpZXNRWVsKCxlY2EpVc2tbC4uY3NxWedrogNNDImLYnBsFENioxkcG0V0UO9J992d2uwO/rt5JwBvXn4uSqWCL3fk8u9laxmXmsjMAf2QJKkzEVqQQd/52o7gpKShCbck0S/i2IuT40OCaLHbCdbrmNgvmcn9kpnUL5mY4EDf/nKC0MuIQEQQeoGoQFPnnBJJkiiub2JjYSnbyyrIq6yhqK6B6pZWqve1snJfYefrwgIMpEaEkhoe1v4YSkpEKImhwX06HbjZamP3oUr+NGtSZ2BxRuYAfszdz/K9B5k5oN+vZmNtsth4c/1WLh0zHN1xejSCDHq+vuky+kdHiCEXQfgVIhARhF5GoVB4g4qIUC4d690Xps3uIL+qltzKGnIrq8mrrOFgbQMNFisNpVaySyuOKEOtVJIQGkxyWAixwYHEBJmIDjIRGxRIdJD3+1N5DkqQQU95U/MRG8TpNWoGRkewqagMt8fzq8HDK2s2oddouGr8qF+tR0w6FYTfJgIRQTgFGHVaspLjyUqO73zO6nBysK6BorpGiusbKapvpLiukaL6BqxOF8X1jZ0Js44l2KAnKtBIWEAAIQF6QgMMhAYYCDH88v9BBh1GrRajTkuAVoNRq/VLynG3x4PF4aTV7qDN7qC1/WtgTMQxk8VplEp0ajWttiPnb0SYjNhcLupaLUQHmTonq3bUoVIq+XZ3Pj/k7Oeli88kJEB/xBCOIAgnTwQignCKMmg1ZMZFkxl35KZ1kiRR3dxKUX0jpQ1NVDe3UtXcSlVzi/fR3ILF6cRstbXntqg/qXq1KpU3KNFpMWjUaFVq1ColGpUSjUqFRqVCrfR+r27vdehYSdKxD1XH9x6PhMPtxul243C5cRz26HS7sTldtNkdWJzOY7bl3+fNZ8HQgUc9r9OoCTMGcLCugRlSGuDtadKoVARoNDRZbUQHmTqDEI9HQqVUsreyhmdWrOdPsyYxLCGm83WCIPx+IhARhD5GoVAQExxITHDgMXdtlSSJFpudquZWalraaLJaabRYabLY2h+93zdabDTbbLQ5nFjsDpweD4A3WLC6abLKt9PuidIolRh1Wkw6by+N+leGVwbFRLLrUCWtdgeB7VlLm6xWUCgw6bQ4XC7yq+qIbh+2qm5u5dElP5MSHkJskIn3N20np6IahULB5WNHMDRe7CouCL+HCEQEQTiCQqEgyKAnyKCnf3TECb/O4XJjcThpcziwOBxYHE6sDidOjwen243T3fHo/X+X24PL4wbvvrt0dCwoDvteqVCgVanQqr09KVqVCo1a1fmcTq3G1B54mHTak9oIbt6Q/ry+bgsfb93FjVPG0tBmYfneg6SEhxAfEsSq/YU8/P3P3DB5NJeMGU5uZTXbSyvQqdX8pWoJ8SFBJIeFMDo5jrjgoBOuVxCEI4lARBAEWWjV3uAgJED/2wf3AHMHpXOo0czn23PILq3gUKOZ6CATt82YCEBKeCizB/YjPTIcgIlpyWy46w9dSusuCMLRRCAiCEKfpNOo+cPUsQyJi2J7aQWnDc5gXGoi8SHe3o2U8FD+Nn965/F6jVokHxMEHxBXlSAIfZZCoWBqRipTM1L93RRB6LNElh1BEARBEPxGBCKCIAiCIPiNCEQEQRAEQfAbEYgIgiAIguA3IhARBEEQBMFvRCAiCIIgCILfiOW7giD4zOfLdvLhD9toMLeRnhTJX6+cyeC046dCX7F5P69/tYHKWjOJMaHcctEUJg4XS2sF4VQmekQEQfCJZZv28fzHq7nxvIm8/+gVZCRFcsdTX9LUYj3m8bv3V/CPV37grOlD+e//XcHUrH7c/exiCstPbtM9QRB6FxGICILgEx//mM3ZM4Zx+uTBpMSFce81s9FpNXy7OueYx3/60w4mDkvh0vlZJMeGcdN5kxiQEsUXy3Z2b8MFQehWIhAReoSKGjMffL+NFz5Z4++mCDJwudzkF9cwZsgvu/sqFArGDkliT0HFMV+TU1BxxPEA44cmH/d44dTxzAerePztZSzfvO+4PWbCqatXzBFZk30Qo8nk72YIPlBa1cjKrQfIL6rufE6hgBmjM2gwW9h9oBxJ8mMDhV81LCOO8BDjUc83tVrxeDyEBQUc8XxYcAAlVY3HLKvebCEs+MiywoKM1DdZjlv/5j0lWGyO39FyoSeICgtEpVRQVd/CNz/v4Zuf9wCQkRTJmCFJDE6LQa0S98u9UVtr6wkf2ysCkQdfXYJK2zt29BR+H6VCwahBCcwc05/po9MJMum54u8fUCTmB/Roz/z1HCaG+G8y6X8++Jniiga/1S903Uv3nY/N7mJrbinb8kopKKvjQGktB0pr/d00oQvcDtsJH9srApHM9Fi0+oDfPlDodQIDdEwZlca0rHRCD7t7/uD7bRSV12M0aElPjPRjC4VfE2jUHfP5EJMBpVJJQ/ORvRkNZgvhwce+lsODA2gwtx15fHMb4SHHv/YHpkQRbDKcZKuFnqC8pom6pjZ27ivn+nMmMHlkGgD15jay88rYlldKccWxe8+Ens9hs5B9gsf2ikDk+XvOIygoyN/NELpJXVMrb32zEYA/Xz6dhVMz/dwi4WSp1SoGpkSxNbeUqaP6ASBJElvzSrlw7shjviYzPY6teWVcdNqozue25JQyND3uuPU8dPPp8jZc6DZfrdjFk++uIHtvGdefM6Hz+fBgI3MnDGTuhIF+bJ3QVc3Nzbz32LUndKwYfBN6nBc+WYvF5mRIvxjOmDzE380RfqdL52exaNUefliXR3FFA0+8sxybw8WCKd5/0wdfXcLLn63rPP7i00ayaXcxHy3JpqSygTe+2kB+cTXnzxnhp99A8KX/b+/uw6KqEz2Af8+8MLwNOOCggIiAplIqCIov7IrKSlZ3czO23dTCdTEVS9NSSTda10d2w26u1vWlnut1fWr1eskyFJVk012zTFATXzBEBEEBRWFEHIaZc/9QZyMUmXD4zeD38zzn8ZmZM+d85wfCl3N+cyYqPAgAUFB0EcbGJsFpSCSnOCJCD4+SihrsOnAKkgS89sIYKBSS6Ej0E8XH9MU1QwPWZ36Fmtp69An2w6rXn7GegququQ7lDyYiDugTgKWzxmPt1gNYu/VfCOquQ8bcpxEa6CvqJZAd9eyug17ngeqr9Thx9iIG9w8SHYkEYREhh1JVYwAAhAb6tnoFTnIOz8ZH4Nn4iLs+9l9vJLa4b8yQRzBmyCN2TkWOQJIk+Hf1RvXVetTVt31iI3U+PDVDDkmSeCSEiOhhwCJCREREwrCIEBERkTAsIkRERCQMiwgREREJwyJCREREwrCIEBERkTAsIkRERCQMiwgREREJwyJCREREwrCIEBERkTAsIkRERCQMiwgREREJwyJCREREwrCIEBERkTAsIkRERCRMhxQRo9GIiIgISJKEo0ePdsQuiYiIyAmoOmInCxYsQEBAAI4dO9YRuyMiByTLMiRJsuk5VZdqcfK7Mpz7/hLqDTfRM1SPMeMHwlPrZqeURNTR7F5EsrOzsWfPHmRmZiI7O9veuyMiB2SxWKBQKHD8yHn874Z/4nxxNXr388cLM8egV5jfPZ+TvS0PR745C18/L3hqXbFn+1Eczz+P382Oh38Pnw5+FURkD3Y9NVNZWYnk5GRs2rQJ7u7u913faDSirq6u2UJEzk2WZSgUCpw+fgHr3tkFD60rZi14AmazBX9ZkolTx8sA3CoeP9TUZEFwqB4vzhqLP7z9HF79w9NImjUWhQXlOLjvtHXbROTc7FZEZFlGUlISZsyYgejo6DY9Jz09Hd7e3tYlKCjIXvGIqIPt/vwIlEoFkucmYNjP+yJlwRNQqZXYu+PWKVuFovmPIxcXFeISBiByaKj1voFRwegW0AWXqwwAWESIOgObi8iiRYsgSVKry+nTp7F69WoYDAakpqa2edupqamora21LmVlZbbGIyKBZFmGxWKBxWKB2WxBk8kMSZLQcMOIirIa9O7nD1+9FiZTE/z8uyByaChOHb+Aa1fr77k9WZbRZDIDAI4fKcWVagP69A8AAJvnnBCR47F5jsj8+fORlJTU6jqhoaHIzc3FwYMHodFomj0WHR2NSZMmYePGjS2ep9FoWqxPRM7jzh8jVspb/9ReuwHIMjSuagCAbLl1JCOghw4HGky4duU6uug8WkxolSQJFosFKrUS167W4+MP96Hvo4EY/fgA6+NE5NxsLiJ6vR56vf6+661atQrLli2z3q6oqEBCQgK2bNmCmJgYW3dLRA6qyWSGoa4BN24YYahtgKGuwfpvdWUtgoK7YlB0CNQuKhhvmgAAkuJWgfDQusFkaoLp9hGPH7szv6TRaMKajJ2QJOCleQkd9tqIyP7s9q6Znj17Nrvt6ekJAAgLC0OPHj3stVsi6kA3GxrxpwVbkHfwLDSuaqhUCmhc1XB1c4GH562jm2q1CkNd1XD30OBy9a0J6HeOiGg0KjTUN8L99ro/PsJx54jI+nd3o/j7SryZ8Rt08fGEuckMpUrZga+UiOylQ64jQkSdk8ZVjdeXPgPZIsPFRQW1ixJKlRJKZcvpZyF9uiF7Wx4AwEVz6xTNhdIrcHFVITDIF8Ctoyu11+rRRecBpUoJc5MZ2/7+NU4XlOMPbz+HoF5dAaDVEnKj3oizhRcRPjCIZYXICXRYEenVqxdnuBN1MpIkoYvOo03rDvtZX2z76CDW/ecu/H7OOJz6rgyffvw1fh7/qHWdgqOlWPraZqzeNB2BPX3xXf55fPjXHOh8PJC56StUXKiBoa4B7h4aLH9vClzdXFrs59CB75GeuhVabzcM+1lfPP2bGOvkViJyPDwiQkQdIqRPN8xZ/EtsWvcPTBr/DiwWGcNH9cXvXo63ruPhqYGvXgvF7TkkarUS8U8OgtbbDRaLjOjhveGhdYWvXgu1y91/fF2va4CXtzvqam8gJ+socrKOImJoKCZPj8OAyOAOea1E1HYsIkR0X9eu1sO7i3u736Uyckx/BIfpcaPeCE+tG7r6aaFW//vHUJ/+Afjg/2Zbbz8WGYzHbCwPTz07BOMnDMbJ78qw85M8fLmnAEcPFeO7w+eQsX6qzdsjIvvip+8SUasabhjxevIGLH1tM+oNN9u9vR7BXfFIeCACgnysc0UeNKVKiQGDe2HhsonY+NkcDBvVFxaLjL8syYShrsEu+ySin4ZFhIjuSZZlrFz2OUrPVaPwRDlMpibRkWzm598FC/80EQFBPqi6VIu/LtvO+WpEDoRFhIjuKWvrt/hy93EolAq8kZ6ILj6eoiP9JO4eGqQufxYqlRL/3HsSuz7NFx2JiG5jESGiuzpdcAFr39kFAPj9K79w+rkVj4QHIillLABgTUY2Ss9VC05ERACLCBHdhcnUhIw3P0FTkxkjx/THM5OGi470QEycPBxRw8JgNJqwPHUrGo0m0ZGIHnosIkTUQv7Xxbhw/goAYN6bT3eaz3RRKBR47Y+/gtpFhXPfV+KrfYWiIxE99FhEiKiF3v38obp9VdJzRVWC0zxYZ05WwNTYBLWLCuED+HETRKKxiBBRC756Lcb9MgIAsDYjG2azRWygB6TJZMYHK/cAAH7122Hw8+8iNhARsYgQ0d29OGssPDxdUVR4Ebs/6xzvMsn+NA8Xzl+Gl7c7fjP1Z6LjEBFYRIjoHrroPPDCjNEAgP95f6/TXwis/vpNbFr3JQBg8ktx8NC6ig1ERABYRIioFU89OwTBYX6ovXYDG977wmkvBCbLMv7+3/tRe7UegT198eQz0aIjEdFtLCJEdE8qtRIzXxsPANiReRivvPgBjhwqFpzKNiVFlXgjZRO2bjwA4NY1UVRqpeBURHQHiwgRtSpyaCimv5oAVzcXnDlRjkUzNyJ11t/w/akK0dFadaW6Dn9d/jlm/nYN8r85C5VKied/PwrD4/qJjkZEP8BP3yWi+5o4eQTGPjEQH3+4HzsyDyP/m7PI/+YsRo7pj3H/EYmo4WHNPkVXlEajCV/tK8QXWUeRd7AIFsutU0mxY8Mx7eVfICDIR3BCIvox8T85iMgpdPHxxKwFT+CZScPxt7W5yM0+jgO5p3Ag9xQ8ta4YMbo/Rv3iMUQMCenQUx+yLOPU8QvI+fwI9u05gfrr//6E4EcjemJqylgMGNyrw/IQkW1YRIjIJt0DdVjwp4lIfCEWuz7Nw/4vTqLmsgF7th/Bnu1H4OXtjtixt0rJgKheUCof/Blgk6kJpcXV+OZfZ/BF1jGUl16xPqbv5o34pwYh/slB6BHc9YHvm4geLBYRIvpJQvp0w8zXn8D0eY+j4Mh57NtTgH/lnkLt1Xrs/CQPOz/Jg6fWFcGhfggK6YrAnr7w6aqFr14Ln66e8Omqheftt9DKsgzZIsMiy7CYZciyDItFRsONRlRfqkXVpVpUXryG88VVKD5zCefPVqOpyWzNonFVI3ZsOMY9FYGB0b2gUHD6G5GzYBEhonZRKhUYFB2CQdEhSFnwBI4eLsH+nAIc+McpGGobcOJYKU4cK33g+/XUuqLvo4GISxiA2LHhcPfQPPB9EJH9sYgQ0QOjVCkRNSwMUcPC8PKip1BytgplJZdReq4alRev4Uq1ATWXDaipNuC64SY0rmoYb977E3AVCgm+ei/4dfeGn783AoJ80LuvP8L6+cOvu3en+TA+oocZiwgR2YVKrUTvfv7o3c//ro8bb5rQcMMIAJAkCQqlAgpJgqSQoLi9KFVKu8wxISLHwSJCREJoXNXQuKpFxyAiwfinBhEREQnDIkJERETCsIgQERGRMCwiREREJAyLCBEREQnDIkJERETCsIgQERGRMCwiREREJAyLCBEREQnDIkJERETCsIgQERGRMCwiREREJAyLCBEREQnDIkJERETCsIgQERGRMCwiREREJAyLCBEREQnDIkJERETCsIgQERGRMCwiREREJAyLCBEREQnDIkJERETCsIgQERGRMCwiREREJAyLCBEREQnDIkJERETC2LWI7NixAzExMXBzc4NOp8OECRPsuTsiIiJyMip7bTgzMxPJyclYvnw5xowZg6amJhQUFNhrd0REROSE7FJEmpqaMGfOHGRkZGDatGnW+8PDw+2xOyIiInJSdjk1k5+fj/LycigUCkRGRsLf3x/jx4+/7xERo9GIurq6ZgsRERF1XnYpIsXFxQCAt956C0uWLEFWVhZ0Oh3i4uJQU1Nzz+elp6fD29vbugQFBdkjHhERETkIm4rIokWLIElSq8vp06dhsVgAAIsXL8bEiRMRFRWFDRs2QJIkbN269Z7bT01NRW1trXUpKytr36sjIiIih2bTHJH58+cjKSmp1XVCQ0Nx8eJFAM3nhGg0GoSGhqK0tPSez9VoNNBoNLZEIiIiIidmUxHR6/XQ6/X3XS8qKgoajQaFhYWIjY0FAJhMJpSUlCA4OPinJSUiIqJOxy7vmvHy8sKMGTOQlpaGoKAgBAcHIyMjAwCQmJhoj10SERGRE7LbdUQyMjKgUqkwZcoUNDQ0ICYmBrm5udDpdPbaJRERETkZuxURtVqNFStWYMWKFfbaBRERETk5uxWRB0GWZQDg9UQeItevG2BuvAmTsYFfd6JOrvHmDZgbb6L++nX+f+9k7nw97/web40kt2UtQS5cuMBriRARETmpsrIy9OjRo9V1HLqIWCwWVFRUQKvVQpKk+65fV1eHoKAglJWVwcvLqwMSdi4cv/bh+LUPx699OH7tw/Frnx+PnyzLMBgMCAgIgELR+iXLHPrUjEKhuG+TuhsvLy9+I7UDx699OH7tw/FrH45f+3D82ueH4+ft7d2m59jlEu9EREREbcEiQkRERMJ0qiKi0WiQlpbGy8T/RBy/9uH4tQ/Hr304fu3D8Wuf9oyfQ09WJSIios6tUx0RISIiIufCIkJERETCsIgQERGRMCwiREREJEynLiI7duxATEwM3NzcoNPpMGHCBNGRnI7RaERERAQkScLRo0dFx3EKJSUlmDZtGkJCQuDm5oawsDCkpaWhsbFRdDSH9f7776NXr15wdXVFTEwMDh06JDqSU0hPT8eQIUOg1Wrh5+eHCRMmoLCwUHQsp/XnP/8ZkiRh7ty5oqM4jfLyckyePBm+vr5wc3PDgAEDcPjwYZu20WmLSGZmJqZMmYKpU6fi2LFjOHDgAJ5//nnRsZzOggULEBAQIDqGUzl9+jQsFgvWrVuHEydO4N1338XatWvxxhtviI7mkLZs2YJ58+YhLS0N+fn5GDRoEBISElBVVSU6msPbt28fUlJS8PXXXyMnJwcmkwnjxo1DfX296GhO59tvv8W6deswcOBA0VGcxtWrVzFy5Eio1WpkZ2fj5MmTeOedd6DT6WzbkNwJmUwmOTAwUP7www9FR3FqO3fulPv16yefOHFCBiAfOXJEdCSn9fbbb8shISGiYzikoUOHyikpKdbbZrNZDggIkNPT0wWmck5VVVUyAHnfvn2iozgVg8Eg9+nTR87JyZFHjRolz5kzR3Qkp7Bw4UI5Nja23dvplEdE8vPzUV5eDoVCgcjISPj7+2P8+PEoKCgQHc1pVFZWIjk5GZs2bYK7u7voOE6vtrYWPj4+omM4nMbGRuTl5SE+Pt56n0KhQHx8PA4ePCgwmXOqra0FAH6v2SglJQVPPvlks+9Dur/t27cjOjoaiYmJ8PPzQ2RkJD744AObt9Mpi0hxcTEA4K233sKSJUuQlZUFnU6HuLg41NTUCE7n+GRZRlJSEmbMmIHo6GjRcZxeUVERVq9ejZdeekl0FIdz+fJlmM1mdOvWrdn93bp1w6VLlwSlck4WiwVz587FyJEj8dhjj4mO4zQ2b96M/Px8pKeni47idIqLi7FmzRr06dMHu3fvxsyZM/HKK69g48aNNm3HqYrIokWLIElSq8ud8/MAsHjxYkycOBFRUVHYsGEDJEnC1q1bBb8Kcdo6fqtXr4bBYEBqaqroyA6lreP3Q+Xl5Xj88ceRmJiI5ORkQcnpYZCSkoKCggJs3rxZdBSnUVZWhjlz5uCjjz6Cq6ur6DhOx2KxYPDgwVi+fDkiIyMxffp0JCcnY+3atTZtR2WnfHYxf/58JCUltbpOaGgoLl68CAAIDw+33q/RaBAaGorS0lJ7RnRobR2/3NxcHDx4sMVnBkRHR2PSpEk2t93Ooq3jd0dFRQVGjx6NESNGYP369XZO55y6du0KpVKJysrKZvdXVlaie/fuglI5n9mzZyMrKwv79+9Hjx49RMdxGnl5eaiqqsLgwYOt95nNZuzfvx/vvfcejEYjlEqlwISOzd/fv9nvWQDo378/MjMzbdqOUxURvV4PvV5/3/WioqKg0WhQWFiI2NhYAIDJZEJJSQmCg4PtHdNhtXX8Vq1ahWXLlllvV1RUICEhAVu2bEFMTIw9Izq0to4fcOtIyOjRo61H4xQKpzr42GFcXFwQFRWFvXv3Wt9eb7FYsHfvXsyePVtsOCcgyzJefvllbNu2DV9++SVCQkJER3IqY8eOxfHjx5vdN3XqVPTr1w8LFy5kCbmPkSNHtni7+JkzZ2z+PetURaStvLy8MGPGDKSlpSEoKAjBwcHIyMgAACQmJgpO5/h69uzZ7LanpycAICwsjH9ttUF5eTni4uIQHByMFStWoLq62voY/8pvad68eXjxxRcRHR2NoUOHYuXKlaivr8fUqVNFR3N4KSkp+Pjjj/HZZ59Bq9Va59V4e3vDzc1NcDrHp9VqW8yn8fDwgK+vL+fZtMGrr76KESNGYPny5fj1r3+NQ4cOYf369TYfAe6URQQAMjIyoFKpMGXKFDQ0NCAmJga5ubm2v7+ZyEY5OTkoKipCUVFRi+Im88OuW3juuedQXV2NN998E5cuXUJERAR27drVYgIrtbRmzRoAQFxcXLP7N2zYcN/TiETtNWTIEGzbtg2pqalYunQpQkJCsHLlSkyaNMmm7UgyfzISERGRIDxxTURERMKwiBAREZEwLCJEREQkDIsIERERCcMiQkRERMKwiBAREZEwLCJEREQkDIsIERERCcMiQkRERMKwiBAREZEwLCJEREQkDIsIERERCfP/HXIwUeqsNqIAAAAASUVORK5CYII=\n"
          },
          "metadata": {}
        }
      ]
    },
    {
      "cell_type": "markdown",
      "source": [
        "Let's continue the solution algorithm.\n",
        "3. Using the function *minimize()* from SciPy library find all local minimum points. Choose several different methods to use, for example, method='bfgs' or method='nelder-mead'. Compare the program execution time (number of iterations). Which method is better? Be able to briefly explain the basic principle of the chosen method\n",
        "\n",
        "Explain the results obtained."
      ],
      "metadata": {
        "id": "hWkDv6hSJqRf"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "********************************************************************************************************************************\n",
        "\n",
        "********************************************************************************************************************************"
      ],
      "metadata": {
        "id": "arv7yUueNUAT"
      }
    },
    {
      "cell_type": "markdown",
      "source": [
        "**Constrained minimization problem**\n",
        "\n",
        "The necessary steps for your solution:\n",
        "\n",
        "1. Determine the type of problem (linear programming problem or convex programming problem)\n",
        "2. Depending on the type of problem you are solving, use either linprog from scipy or cvxpy\n",
        "3. In a convex programming problem, be sure to check all functions for convexity!\n",
        "\n",
        "Task:\n",
        "\n",
        "Find the local minimum of the functions:\n",
        "\n",
        "1.\n",
        "\n",
        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)\n",
        "\n",
        "2.\n",
        "\n",
        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)\n",
        "\n",
        "3.\n",
        "\n",
        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)\n",
        "\n",
        "4.\n",
        "\n",
        "![image.png](data:image/png;base64,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)\n",
        "\n",
        "5.\n",
        "\n",
        "![image.png](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAZkAAAB6CAIAAADiYLkBAAATwUlEQVR4Ae1d7bWEqBIkBWIwBXMwBGMwBTOYDCYDI5gITMAEzMAceGdvndfLgjL4xaDW/XGPg9h0V2PZNIjK8I8IEAEicH0E1PVNoAVEgAgQAUMuYycgAkTgDgiQy+7gRdpABIgAuYx9gAgQgTsgQC67gxdpAxEgAuQy9gEiQATugAC5LEcvjuPYtm1RFOrvr2maaZpyVJQ6LSPQ933TNFprpZTW+vV6LdflmQMQIJcdAOLhIqqq0lr3fW+Meb/fSqmmaQ5vhQJPRUApVZblOI7TNDVNo5Tquu7UFh8unFyWYweoqsru90VRaK1zVJQ6LSOglBrHEefHcVRK1XW9XJ1n9iKQKZfJICvevvf77VBA/LWZ1yyKoqqqzJWkegEEwGUcZgYg2n/qB1z2+XyqqkImyH52iTFd12mtm6aRx5qcCh90XYfb/k7Zpc/nw+FJ2O+nnm3bdj8HtW0729VP1fxpwlNzGZz6fr+RCfKHTl3X7bl1p2kq//4S09k0TV3X1XWNXC8GFJ/PZ2d/GoYBtL5TzobL67pWSiFnt+HyK15iP2LlWauUQnfdbNHOLr253f0Xvl6v/ebvVyNSQlIu6/s+nMYex1Fr3bZtpPaz1Q4RMis5UAgKk07/+XxQsofOYMhPkiy4/R7IZVrryvsbhiHg+vAphNXSMcKVczsLct9jfkqLknIZZnMCtzew2x9SIfpLGVP4HA0dNue5dgaYQHJbTwKHlmV5aS7bgABIbBtos1f9MKye1efehem4DEGZUmqJqpAfPWTxwYGiNrsf9m7msp0j5Q13slhalmVd1xhfpHweiAKHHGxA4FguwyPhkP58CCC3F5KIy+zsA479oRMWUtlrEWz0P58P1o7anQOzBGVZ2jVx/PN1DIjLbG2NMZFWtG2rtZapj2maiqLwbQyUbLiTIe31emmtp2la4rJIEwK6yXorrbWMX6Zpgs6BsD0g0z+1AYFILotEAE8jUWwYhs0PNhEyjmNVVUvRgFQzxsCDSHTgnhqGATlQrTVKxnF0SkSCpH1l3mOaJnRLSWf7AuXynxwk4jLcxkqpQC4MnU86tw3HOI5Y+w7oUUdyOrMyI1PXPsnOlqzthRhclGVpd7tIKxBU+mrYgHw93nAnG2MQS4JNIMGJyyJNCKvXtm3f98MwyJIrDKhhso1YWE747AYEYrgsEgHpnLYf1/aiWQPrunb61VK1ruumaVJKVVX1+XxwBwF2PEWqqhr//vBmgi1HPCIdoK5rWyCoeRxHCFz7rLXbOuo4HZfhOb8UdhljEHaFDZNMKhAMSPvaXLihzWeHYcDjK/DiUbwVm9XYcCcj+pMHwyyXiT6HmFCWJSayI+9PaT3mYAMCVVUVRSGT0Tq4MOgQBGIMcerATTF0hgvx+oFNo6BXW8LsrYeEqdO6MUYEylMHAv2aiUvScRn61mzYJaAr9UUfPGeapinLMjw3BC6TCDkNrPIQLooisD4u3orNam+4k+u6LopCOmiYyw4xQRbo2O1uNtm5cAMCXdeVZYlIZJomJD3swb7dxCEI2ALjj/Egt8lo6VrUdJa2oZdKwAV68ldHgbMcyb5A4PCsuEz//TnQ2D8j2d3PmtlC5PgnXIbWx3FE60qppexPpBViTvgA960waeBgSQ7GRHb/Fi5DDtu/cL8JaNTOmvmtRJbsR2C2odmkp9Tcj4CIwkHAcbOnnGysI80YA4Ttav6UFOjJyV+jmgTpItkXiPjUbkIqJz74EgcdpQ3wsgNdXzK85Zc7Jei1Ej44Z+VnJJfNdhG/MKy5NGof4Km+9LwKW4HE7YZGRQHIl59fDyTX69u+5Jf9JizdMMjc7dxkYi0CsxBBw6XhwhICiOkwRkO6KjAcmW03XIi7KSYu81dB+TNsKHFGMLh9/ByOLxB079cMm3DG2URcBjp38HLswVPOKXR+YuIyZt3TkjMcgef9ROzthPdoLmzF+/0Gs6TkMh8H3Kh2pGbX2W8CsstYm2pLxvH+TSbO5rIAAuh7yIH0fa+1Xnqk+YZ/LVmVLwOf2g9+e/YMbc3OkgE9mUkXrXyBKPFryiXJDhJxmU/nvoWAL/AEw+RgDC0aY2Y95Dd6agkiGrsnGWPCVrz+/nCfZ8tlh5hQ13XbtkuMYz8DMLHrDIK+Om5J8tcL7QqIy/xc0lcE7DEXOn+gY9stfj2OnyeZzWT5EQMenE67/swm1nkopRxenq3pSEvzMxGXxZC3H/3aEEjvQary632ecn0ZerwTdSKP4OgZb0XM+gAbH+d4/50MCX5cdogJmL0JrGKzzQGXOfDaFWaP1yIAJzr2zubL4hGAYuCyWSXXFsavL5MVNjarAkm7T/olxpjZwlmBAM0WuNaiA+un4DI8H/yHm2MGELShRwWQgv2SEGKucRy7rvPTk+IMX5TT4lE/5ektWQO8j2lntdda8XMuw+NHLJIVgvGOmDUBYgUZpH6wfgXLnXyngFDWjmK2cZlsgSnzmHZaaq0T0RX139oO366zS+yhLtqC/vYtg5sONmJMgKEDxvh42MhTxBcoXIaVtOGlBWfbm4LLxOCvxqD/OYMydGXbAchB4KZyKqMJXOI8Y7+2vrmCbJKBAB5xuLMmY60Vs0QQr+HaO9mRjMsxfJCp2P0myKjHHnDhyVQUhTRkK4OUgk2p9tnA8VoEZL5FpkHKsny9XnYHW4sAcgU2GwYUPvwUELDvgtkkMsLGoiiEs4wxUmjTky/QGIPCoig2+OhYk1NwGRC0kVqyYSk0W6o/W36IkFnJKQt3cllKVZfa2m8C4gj7dlpqK8/ysizPWDqXp7E/1yoFl4G57UdxwOzNz2HI/O2TMGDX2lP7iWBti4fX32kC0lLJEgWHm481JZHd/vDWHyjwdC6TYUU8uJjtbtvWDu9jLu/7/jb7yu4kghi4zq6zx4SrbzKB99hIZGf3MVv+6VyGgbc9aLebXzoe//9RtaUKfvmd9vtHSLL09oxve4YlO004Y5OJZChhaGyn/+q6XnsLJNP2Ng2dyGXwqLzgdhvITjUE8yTO4vtr3Qb7TUCewQEhk4n/GO/LFJBtwrWcGGNmbnVO5LLcTKU+RIAI3BgBctmNnUvTiMCDECCXPcjZNJUI3BgBctmNnUvTiMCDECCXPcjZNJUI3BgBctmNnUvTiMCDECCXPcjZNJUI3BgBctmNnUvTiMCDECCXPcjZNJUI3BgBctmNnUvTviMwu9v998tYIz8EyGX5+YQazSHQNM3r9Vq7I+OcpH/L8NKoUipmQ6p/L+NRlgiQy7J0SzZKYb+mHNTBl/qwDwo+oL1fK7zBTi7bj2QOEshlOXghVodhGOq6ThlE5MNlglHf903T4GvKe17YbtsWm9mSywTbSx+Qyy7jPuweYW+yOgwDuMbehXkYBuzTsHb3t1kgNnBZAq3wTaCu66qqwubOa8ee2Myj//sjl826/nKF5LJruAyZHSciq+t6HEdkr8FxkgAqy/IQwzZwWQKtbNM2jD2nadJa4wsS8Ru4243yOEMEyGUZOmVGJQQgMyeMwc69dV3jK7DHbiq9gcug5KlazeIAVnK+3jhbE5+YxCly2SxEVywkl13AaxgQ2aNLR2l8I6Nt27UfxHXk+D83c5kx5jytbD3XxmUIY2X3anKZDealj8llF3CffA90SVdsRG5nzZZqhsvBXPZuqEvHYTk4e5RWs23hO35r82X+UF24bJqmqqr2TCbM6snCZAiQy5JBvb0h/8P3jizckPYG83YF+fKjXRh5vCcuC2iFuUh8iVJr7eQBw7rtmcfEU2GJoJVS5LIw+DmfJZfl7J1/dMMAM7DbvUxczjLC+/0GZQQkBCDYzGVhrfBZ7HEcp2lC+Pb1S7Frx5IBo+xTEpfZhTy+IgLksty9hvyO/dl2W2Pk+/GZGJ+tXn9/+Gaof9aWs3S8jcvCWhljlFKyigLfZv6a6Ttj3b8xhly25PrLlZPLcndZ4GYDSWHiMkw6mz9VGRY7i128VrgcXDYbVM7KP7YwAO+xDVHa2QiQy85GeK98sIlzq2PFA0ZqWBOL8K3rOixVdVpNw2VrtYKSbdvaYZqj+dk/0fqxC1nO1pnyZxEgl83CklHhLJfJoFIW92NYp5SqqkoWHIgZabhsrVbGGLzM8DVZZowBDoG0vZwSq78eICjDhc7T4uu1rJAbAuSy3Dzi6jPLZW6lb783c9k3wbvOg/sC6+Z2SefFD0OAXJa7w+/KZVjqxcFd7v3vOvqRy3L31S25bBxHrTWJLPfOdyn9yGW5u2s/lyEC0lrLMoif24yNw0SN2fkKOcsDIhCDALksBqVf1gGXbVsdhnW2khTHwc+XtiPf72i1zcBfOoZtZ4YAuSwzh3jq7OEyTxgLiMBtESCX5e5aWTeQu6LUjwj8FAFy2U/hj2hcuEyWkkVcxCpE4HEIkMtyd7nkvH6e58odKer3bATIZbn7H68rKqViFsfnbgz1IwKnIUAuOw3a4wTzJZvjsKSk2yJALruAazGV+XVXnAtYQhWJwGkIkMtOg/Y4wdgNlSuwjkOUkm6IALnsAk7FVCa57PV64dOfSqm6rv3tQC7gS6p4GgLkstOgPU7wdbmsLMuu6w5ZTYKttPFNg77v9d8f6ey4XnZ5SeSyC7jw65b/2dowDEPTNHiNfOnTKjHKAwF7o3C8CMUcYgx6D6lDLruAo6/LZQJu13V1XRdF0bbthlfckTG0V9jJHraHBH2iJw+uiwC57AK+Qwxy6g458j0krbUM3PDJSKXUnpDKxnccx/f7XRTF2rEnVqXYoowxyJ3ZBOdU4M9HIUAuu4C7kS87df/Vtm37vh+GAWl1Yww+QQISOTz2WTX2hFZKuX11/25IF/A9VYxGwO0f0ReyYjoEyrJM9nWPsiy11saYuq73fwj9K0bgo3DIKW9xOdLIZQ4gD/9JLsu9A9ixUgJd8V0ijAQPD8dE/1VxGblMcONBAAFyWQCc358ahgFbsJ5HK46RyM3ZWTOnwp6f2/Jl5LI9mD/nWnJZvr6We3jDxN9mq9CovfrBEdV1HQahTnn45555TMHBaQJjzFPTiE6L/JkzAuSynL1jEsdlyPdrrWffMej7XpbdR6K2aiy5JHNp+QW4jPOYS7g9rZxclrvHkS8LZ8ePsqGu67ZtwRGOzM/n0zTNOI5IqDlnl36uXXuxJAcc6iwNUUptiBCXmmD51REgl13Ag2nmMZumwcQlloAsxTs4mxg1NGoTOvJ6gbFwYg3Z3M8RIJf93AXfFTh7fRm4UvL9EglirayTrfsJl8liN2TH8JW8BEtGvvuGNbJBgFyWjSuWFTl13T+yUUVRyHJ/LC5TShVF4QzrjDGruMz5cNzSz9n0nIMH3kzQWmNo2TRNsrldRxP+zBMBclmefvmPVpjIi7nh/3PZOT9Wcdk5KlAqEZhBgFw2A0puReSy3DxCfTJEgFyWoVNclRAKMS5zceFvImAhQC6zwMj1MB8uG8cRKzb8PFqu4FGvpyBALruApzPZ79/P3L9erwvARxWfgQC57AJ+RijEPVQv4Cqq+DsEyGW/wz66ZQREDIKiAWPFJyJALsvd6/xuee4eon55IEAuy8MPy1rILhFLLxUtX8ozROBBCJDLcnf2+/3GGJPL3HN3FfX7KQLksp/CH9E4FmT4u91HXMoqROBBCJDLcnd2JgsycoeJ+j0eAXJZ7l0ACzIyWfSfO1jU78EIkMtydz64jBt1GWM+nw+2J1JKlWXJdw9y77tp9SOXpcV7fWvgsosuLmua5vV6OTugrcfgnyvszRfHcQSpdV23TRqvuh8C5LLcfXppLhvH8fV6FUVRVVXXdZunYqdp0lqXZSnewrI77pEtgPCAXJZ7H7g0lwm4fd83TVMURdM0GxbKYWGKE5wiNONIU0B++AG5LPcOkIbLhmFAQ/bG08Mw4KMhm+MpB9xpmrquq6qqKIpVY0/o5pBg0zRKKYfgnBb58zkIkMty93UaLqvrGh/iVUrZe+ojy344RmvHntga2+GyfLZCOhwfCtyAALlsA2hJL8Edmyb6wN7/dV1P04Tx4NmmwrqiKMIN4c0HclkYpYefJZfl3gGQKkq2JqMsy6Io2rY9dYuhtXEZuSz3bpqBfuSyDJwQVCHxZv9IQtlZM9Gu6zq8hLD0iSapuXSwOV9GLluClOWCALlMoMj3ANyRRj8M+vzJQVAqvuQmy7viF47tnMcMcNmp8WMazNnKIQiQyw6B8VwhiIbiiWOzNjJx6afn+r63s1pYuYpZgkBza8eSS6Jml1+kzCQuKcbyfBAgl+Xji0VNEBN9JY7F6+NOIN//+XyUUl9f/wSXOcl4v52j1v1j5OskDTHDa3+i2FeAJc9BgFx2DV9jTdZ5uk7TVJZl0zTGGHBEuC1MEYTrHHgWbG4Hhlj3b78JcGBzFHVFBMhl1/DaOI5aa3/ot197rMPAOjKsicXMadd1WEDrN9E0jdY6cUCE0AwJOzBveh18KFiSDwLksnx88UUTjP4OH2nKoFIW92OwiZGmT1ht2yql/PJZ7RHiIXMf/j97uVOIVzshp67rSB0cIfx5VwTIZVfy7DAMdV2fEZ1FooA0GXeniISL1VIiQC5Lifa120IERyK7thfvqz257L6+PdQyJOzsmcT3+/3DCPFQ4yjsDgiQy+7gxQQ2IPXu5LzIZQmQZxORCJDLIoFiNSJABLJGgFyWtXuoHBEgApEIkMsigWI1IkAEskaAXJa1e6gcESACkQiQyyKBYjUiQASyRoBclrV7qBwRIAKRCPwPhKso8c/a1vwAAAAASUVORK5CYII=)\n",
        "\n",
        "6. Solve the transport problem\n",
        "\n",
        "\n",
        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afAWllb0hjT1aZomfleNtbZt23me09jw11IyQRdzM8ZUVdV13bquf61UsutzoBf/MjRg1nX9eDySofigoBzobdv2eDx23a9pmufz+UG90iRJTy//8S09kzRtfVcpIk/KrLua5oZyRW9IY9O6rnVdG2Pc9Lau6zAMxhhr7bIsacz4UymZoFuWBVPdNE2wf1mWruuMMXVd/6lGKS/OhN44jqDn6j7PM1yx73sXmVsgE3rbtsHTmqZxiJ7Pp7XWGJOt0kpPL//xLT0T5zBfGRB5UmZ9ZbvvV0r0hv1kF8Tihs9pBZSAQdxprwuK/TzLfNAFQgFVqqrKGBPw/Ly2Z6fMhB4WtHyVsG2bU65nV/q0/DKh5xa0gh4K8RpQPa3y6oxuoZf5+HYLE3VL5puByJMyK9/GO90y0RtOL/FVhrgDDr7FrkQwiAfX3PUxE3TzPBtj4iltd1i/i1Vcbib0sGIaO9iuco1rcVdMJvS2bWvbNlbzu+L1LlZxubfQy3x8u4VJ3DRfEyPypMz6mraWKyJ6g5zFGVdg/SDe5MIgPo7jGYWcnEcm6LByEO9wYVjPc79127ZM6GG5NNjegnKtqupkjzkvu0zobduGRdPgFCDEa9d159X4zJzS08t/fEvP5MwWzS8vkSdlVn6NdplFojdcVvJ/MoZWCMZlzHax9vpPyvs+ZIIOQiFQopjnYu11H62w5EzoQSUEYhTiPtBeYQVu/ZwJPaiHQI+u61pVVbZHKm+R+PmPb5l41K296szCRZ6UWWfizjwv0RvS2B9ohWVZhmGw1jZNE9wop7HnnVIyQRcIhXme+743xuSssW6Z6uI2jVXCNE1N01hrA9kap703JhPfC9TDuq7P57P695ftA8K3+F7+41smHnVvtzqxdJEnZdaJtHPPSvSGNBXAs104EOP+HYYhTemflZIDunVdHS4XsNZme/Ldoc6B3vP5dNBcoK7rYHHL2ZxPIAd627ZB0Dt0CGT+JpFbZFb+41smHpVPF1NaIvKkzFISLim56A0JKgOtYK11Zc3zjBPcOS8q5IAOQqFtW4cOywnW2pyXE26Z6hwiF4BKcGp+XVcsz9R1ne0aKozPwfe2bYN6cJ62LAuQBrv/DngmgcT0Ph7f+r5Pdr+UmEkmnnCdGSJPyqzr4GeXs+gNCSyOtcK2bfHYBEuWZWnbNn40LIGdQRE5oAuEAiyMeWL+w/aiMSaH9YYc6AUqAfRipNM0dV0HetZa0gOoVz10l6p79UMy3RD0Vv9jYt+L++Or8Q33lv7qYDJciZn4zfGVYZEnZdZXtvt+pURv2E92auyrtzZguHH3yuu6Ygr032J6qiF/yywHdLtvbcDj9P7qIM4bYcjO5CmwHOjBwYJWhzf6C4SgBz8EPf/bIHmajznQe/XWBvikWyMEEDzOEr/6IQ2uoJTE9N4c37Zta5omma66l0lQ+vd9FH2MMuv7Gv1ljURveJnyvC92tYIbl105bduO44h7aK5mAcuuUIAU8N+k1TSNv/2KB8Ec2FsCtzveK5WAxwx9Bwvo7b6lLDHD2+m51SkfFCDgTSK+XMA70HGP5McnhuaKS0zvzfGNMss10BcERB+jzPqCVn63CqI3vJuR4rpdrYDZbveQB1ezAHtXKOBxemOMr6uCxqmqyhdhwbdpPt7ueLtrDE7cvzoFj4cTY22RBpor5XZ60ATx6hQkfvCKh77vcY8UX+9qlDKQmN774xtXs1K6waVliT5GmXUp/7wyF73hanNxcMGf9adpgsZ69TYHyiw0CpYH3JSPx+lxMubgbQ4AfiDCrm5x5H+74wGUW1xZlmUcR/vvbxcODshXVXXANg26HB4gwKKy34jzPEO5VlXlNvq3bZumyVq7riu+dcCTsYoL8s2Ovz035k/jW9M0dV1jObCqqpRvbkvJ5FzCeeYm8qTMyrPhLrFK9IZLSv1fphiCcbfn/q2qCve+/7sq/J8ya9s2LBs4aAjUdd113cFMNs+z/XeIO2Sa/PO9jgcdH9Brmqbv+911LCwcGmOqqgpOHSUn938F3ktvWRaIVB8g3nI3DIP/kCbWViEXflBm/XV8W/794YA8XrV10JfPdbx7PercuuSQm8iTMiuHZkpkg+gNiez4SzGUWX+h9f9fuyyLtfb249swqETHc0syty9olUIP24VocSez2rZNph7+f+/3QkXQw3phst5aBBOvDXMPijwps3JvwhPtE73hxLLOyooy6wOSOIaczxuhSnQ8YMdCzgdNcGKSUuj5y11+mDLrHWdI+bBFKR71DrccrhF5Umbl0EyJbBC9IZEdfymGMusvtP7ftfW/P39D54NMTkxSkOM9Hg9/JxEPjp2I4oOsCqLnaudWs1zMXYE86U3T5D86gNWsZOumeTK5y0P05Yo8KbP0kIvJQfSG3GqC93S/Oh2f0tqC0PV97/+UL07MpGQVl1UQPWNM27ZQqDjRnGzyi7khpiB6rgqQWbuPF7hr0gTypIfzf3iiZV3Xruv8Pns1mTyZXF3r6/IXeVJmXQc/u5xFb8jHYgzT/tbDvcbfW/r77YJ3EATcbjf+dgPeBzgMA1awcATePdr5fg6nX1kQPdR9miZ3av7eHcPbHyB45Qz4fQv3Uw1t2/oPbL5KdVZ8cR51VsUvykfkSZl1EfkcsxW9IUej87CJ6DTtQHqkpyGgSUvfi+mRScxEEyPypMzS4C0sregNhdUnoblEp4FNeqSnIaBJS9+L6ZFJzEQTI/KkzNLgLSyt6A2F1SehuUSngU16pKchoElL34vpkUnMRBMj8qTM0uAtLK3oDYXVJ6G5RKeBTXqkpyGgSUvfi+mRScxEEyPyfFdmxYdqGUMCJEACJEACJEACP07gWKW9K7OOc+G3RRAQRXcRtbjFSKLTYCc90tMQ0KSl78X0yCRmookReVJmafAWllb0hsLqk9BcotPAJj3S0xDQpKXvxfTIJGaiiRF5UmZp8BaWVvSGwuqT0Fyi08AmPdLTENCkpe/F9MgkZqKJEXlSZmnwFpZW9IbC6pPQXKLTwCY90tMQ0KSl78X0yCRmookReVJmafAWllb0hsLqk9BcotPAJj3S0xDQpKXvxfTIJGaiiRF5UmZp8BaWVvSGwuqT0Fyi08AmPdLTENCkpe/F9MgkZqKJEXlSZmnwFpZW9IbC6pPQXKLTwCY90tMQeJW273vxRyfpezE9MomZaGJEnr8us/q+N8aIfVXTBvmkFb0hH1Ovs2RZFv/nga21XdeJv9tKdPM8H7waZxiGgyYjPR/OsixN07w/5pDetm3u97wDJzx2vGx/Otr3h7PC6KFN04gZ5uNR74/G67p2XWetNcZg0F7XVaxpmgtEnj8ts9zM8f6Ql6bZLipF9IaLys0nW7S4tXaapm3b1nUdhgH9dlmWAzuJbpomY0xVVc1//6qqstYeD3mkB9da1/XxeEAovD/mkB5klrX2v673f594g+Rcq65rY0xBMuv90Xhd17quq6pCc2PQruv6eNg5GM/P/UrsoT8ts5qmgWu+P+Sd2zyJcxO9IbE96YuDVhjH0S/6HR8gummaqqryuSFcVVXXdXG8H0N627Y9n8+qqtq2rarqTyvopAeZ9Y6A8L0O4R+h1/d9cTLr/dEYNyfP59O1b9d1xhhxLdNdf2lA9LHflVnjOFprn8+nMaZt20ubIZPMRW/IxM7EZqAPH0ttotttlHEcjTHHC4E/tXGzSwnrpm7p5R1/8/Oh71Fm+f4QhzGLlbhpGNdlt3dgr9C/GFWu69qPvCss9tAflVnrulprx3GEoP7sPumuRv24XNEbPs656IS4CwyWuIIaEV0ABB+xPLP7lR9Jej6N3YnEvyAIkx5lVuAS/kfMZbhLLGvT0K+FC8ej8e4cvSwLNt9dwhsDYg/9UZnV9z2k1W4T3thglxYtesOlpeeZOdZjuO31QesAHU65HSen4/l8KLN8Gm+GcSrrzYv9y77e93D0Zdu29+eybJnsjsY4iRUvhUBmvTP++P5wRVjk+YsyC4ur7uzkm3cAVzRP4jxFb0hsz73FPZ9PPLpyvF0II4kubiwch4/j4xjS85lQZvk03gw3TYOlU/9ZM3G3+us3rIdhsNaCQ9Ey62A0Rn+hzHqzp+RyWdM0fd87a/JZe3QmXRTgbAewGI/Q7nVdPx4P8YkVogt8EvedxzutLgnpORTbtlFm+TTeDI/jWNf1Xx8Q/m6ZhfUCdwy8UJkljsaUWW/2kYwuw8l3f1qlzMqoedKaMs9z27Z8ocMH1Kt/f28mpMzyQVFm+TQ+DuOVhz+73Y93HPhrPL7MOn5xa5798dVoTJn1cR+5JyFOC0JXBf/GBi3L0rbtOztKcdo8Y/LsXbezgtI6Hq+Jzm8mPObjbqP9r3bDpOdjoczyaXwcdqsgxzl8q+/hxFIwi/kfD2aunJnEo/GxzHKHf47d4NJvRZ6/dTar7/v43T94jY2/vrWuK26V/vR6m0sb8pTMRW84pZTiMoFoiB3DrwjR+TSaphFfSepfT3o+Dcosn8bH4R+XWTE3fzUr/taPybk/xqPxq3c3QFP69borLPL8IZmFnez4wQT8jIMf37btOI7rulJm3eW4KcvF8HT8ChaxI6U0+N6ygMs/3SjaQ3o+Isosn8bHYfihtfY4h9/xve+QWfFo7N7d4C+F4LJMXngp+tgPySw8qxL3yVhmuWsosxyK7whghvMl9bZt7/yupdiRvoPPO7VAf3nnIS+XG+k5FDwC76N4M4w5dbfbHu/1f/cR+IBecTLr/dEYY47/wA3eAu+/Fz6gkfKjOL79isx69e4NLHG9em0/ZVZKZ01QFjp2/MiS+PNYYkdKYHwORWAoF+e2wFTSc0DWdcWcUVWVf3fuLogDpAevi3+KVOy2PyWz4u222JcQk4lHvT8az/Ns//1Bau++XutVZRPEizx/QmahObGV6x8MRO9FPH54J2gSyqwASOkf3Q/C4+07xhi+0OFPbYoDqsG6gpiDOAyJOXzBBXglgX9IGT/FLW6/kh5+chsnAgHwzW77OzLr+Xy6Mc1//HC342TiUX8ajd1ziOg1/jy+W8eUkSLPn5BZHxOnzPoY3ZclFDvSl9X33OqQnoYn6ZGehkCclh4VM9HEiDwps47wUmYd0fml78SO9Esw/lxX0vszMi8B6Xkw/hwkvRgZmcRMNDEiT8qsI7yUWUd0fuk7sSP9Eow/15X0/ozMS0B6How/B0kvRkYmMRNNjMiTMuslXpyza5rmzZOqLzPK5gvRG7KxNDtDiE7TJKRHehoCmrT0vZgemcRMNDEiT8qsHbz+kXl3ZHXnutKiRG8orULp7CU6DWvSIz0NAU1a+l5Mj0xiJpoYkSdllgZvYWlFbyisPgnNJToNbNIjPQ0BTVr6XkyPTGImmhiRJ2WWBm9haUVvKKw+Cc0lOg1s0iM9DQFNWvpeTI9MYiaaGJEnZZYGb2FpRW8orD4JzSU6DWzSIz0NAU1a+l5Mj0xiJpoYkSdllgZvYWlFbyisPgnNJToNbNIjPQ0BTVr6XkyPTGImmhiRJ2WWBm9haUVvKKw+Cc0lOg1s0iM9DQFNWvpeTI9MYiaaGJEnZZYGb2FpRW8orD4JzSU6DWzSIz0NAU1a+l5Mj0xiJpoYkSdllgZvYWlFbyisPgnNJToNbNIjPQ0BTVr6XkyPTGImmhiRJ2WWBm9haUVvKKw+Cc0lOg1s0iM9DQFNWvpeTI9MYiaaGJEnZZYGb2FpRW8orD4JzSU6DWzSIz0NAU1a+l5Mj0xiJpoYkSdllgZvYWlFbyisPgnNJToNbNIjPQ0BTVr6XkyPTGImmhiRJ2WWBm9haUVvKKw+Cc0lOg1s0iM9DQFNWvpeTI9MYiaaGJEnZZYGb2FpRW8orD4JzSU6DWzSIz0NAU1a+l5Mj0xiJpoYkSdllgZvYWlFbyisPgnNJToNbNIjPQ0BTVr6XkyPTGImmhiRJ2WWBm9haUVvKKw+Cc0lOg1s0iM9DQFNWvpeTI9MYiaaGJEnZZYGb2FpRW8orD4JzSU6DWzSIx1BLOMAACAASURBVD0NAU1a+l5Mj0xiJpoYkSdllgZvYWlFbyisPgnNJToNbNIjPQ0BTVr6XkyPTGImmhiRJ2WWBm9haUVvuKg+z+ezqipjTNd1rohxHK21dV27mJwDRKdpnbvoPR4Pa60xZhxHZ3/f98aYvu9dTOaBu+h9Qbfdti0BvXmem6YxxtR1va4r3GmeZwx6LiYfN0vAJJ/KJrBE5EmZlaAVcilC9IYrDF2Wpeu6dV3btjXGzPO8bds4jubfXymzHdFpfOMWeuM4DsOwrmtVVdZa2N91HRzv+XxqapQy7S30vqPbppFZbdsuyzIMgzFmGIZt2+Z5hr7P8zbyFo9K2WUSlyXypMxK3CJ3Fid6w6XGPZ9PDEPzPAcLDJeWe0rmRKfBeC89LF/N8zwMg7UWQl9TncRp76VXdLdNI7PgD+u6GmPatoWy91fuEzuMWNy9HiWaV9wFIk/KrOLa9HODRW/4POs3UmIY6rqurmvc872RKJdLiE7TEvfSg1DABmJxGiulUNht4qK7bWJ6dV1XVdX3fdu2uzAziby3P2YC4UQzRJ6UWSfSzj0r0RuurkB8QuvqEs/Kn+g0JO+ltywLNgr9E1qa6iROey+9bdvK7baJZRa2pP0TWh+4yrquTdN8kPD9JLd71PumFnGlyJMyq4h2PMdI0RvOKeZ1Ljgo+upM6LIsbds+Ho/dDKZpqut6mqbdb6+OLBTdOI44EmeMqarqrgNJt9PD8eRXTrLreOu6DsMAj0Xyn6V33G3XdX08HgfK4PF4GGN+oeeipgd+gud+Aj+cpgm3Ae7fA5hB2s8+3t4fPzM721QiT8qsbNvufMNEbzi/SC9HDDG7A+66rjhAY4yJZdayLG62+4XB2mP2/4KfocPwjecPlmWp69oYsyxLnP/VMfc6Xtd1OI8cV/PA8Ry9bdscvVv2HO+ld+B727bhuJsx5pUywEHM3V4fN8cVMcnouUcL4xFs27ZpmrAoGNszTdMrelcASbzCd1EVsso2btPAPMqsAMg3fxS94brK49EbPGAYD0Nt247jiFMgwbdYQp+mCSdsflBmfYwOI7trU8C/5VTcjY43DENd168WVA4cL6D3KgeH97rAjfSOfe/x729d17qud4UCvsId1Hf3XBx7xxgVo3g+n13XLcsCFIGrUGYFQIr7KPZQyqzi2vRzg0Vv+Dzrw5RusMaNVDwMudS7q1n4FqsL3z1YOw4ucAo65AaZdQvAuxwPKzHzPMN5AgXvIMMtD77dtg1LYq/2u/2sTg/fRe9932v+/cUVx2HwGx0vzcoN1CQeLcS6e4wCMRDrwbeUWQGQ4j6KPZQyq7g2/dxg0Rs+z/pFStze+S8mxVGhZVnGcYxfmkWZ5UCeiA554jEol3/KQHrHc3vQ7ti7tbaqKgim+PTMgePN89x1XVVVt+wYphEKgTP81fd2ZdY0TdZanNz61k1DLMD7LybF27PGccQ7SwOwr2QWXtSMs1nY5Q8SnvsxfX881/7cchN5Umbl1mQX2iN6w+llY7bz5RQGXwiveG3gYLb7tdWsE9G5xZjfEQp1XVtrncbCKSJjjLV2d9XqleO5Q4Fd1/0Ovb/6Xiyz3Cbatm037rdeLVLdLqEbylBxHFaLHWZXZuHkFsZeDI8H6/2nDNHpJ4JTzM42E5EnZVa2bXe+YaI3nF/kH3N8NdthJPrWe+I/Qtq//AAdZs140N/P6ILYoh0Pvgfd9oMPELzjDrHM8t8d5WRW27bp96yz8r1XMsuHnKC3ZsXEr3uhYZEnZVahLfuJ2aI3fJLpqWkOtMKvrWb9lesrdDgZ46/r/DVn/fVFOx6qj3WL3ZUwPZ/jHPKnF8ss926CIECZJbamU6XHXqH5VrRBk/kPphV5Umb9kFeI3nA7i1dagatZYtPsooM4uFdjXb1xI5J554KY3jRNPjfxEP07pXx2Tf7dNpZZfk0T6Aa/uCCcFb3d1aymaXxPw2qW24UMqnPKx6yYnFKjezMReVJm3dtASUsXvSGpNVFhWHdpmiYeYtz7jfxjXlEGF0aUiG5ZFmutT2wYBq7HxF6y63i+OMD7S6213DSM6eGBxAM4IOkriTiT62Ly6bnu/X/BExhN01RVBdfC2Sy/z15BJh8mV9QufZ4iT8qs9I1yW4miN9xlGQbiYH/BGeOOIbsLrj4i6op2gRLR4ac/HDQEKLNcm7rT2QEiXOAeMMS3bdvedbgtW9/DCl9AL9gWxI834JrgK78hrgtnQi+g5K+e+j82UFVVgh6aCZPrGj1xziJPyqzELXJncaI33Glc3mUTnaZ9SI/0NAQ0ael7MT0yiZloYkSelFkavIWlFb2hsPokNJfoNLBJj/Q0BDRp6XsxPTKJmWhiRJ6UWRq8haUVvaGw+iQ0l+g0sEmP9DQENGnpezE9MomZaGJEnpRZGryFpRW9obD6JDSX6DSwSY/0NAQ0ael7MT0yiZloYkSe78qs+AQfY0iABEiABEiABEjgxwkcq7R3ZdZxLvy2CAKi6C6iFrcYSXQa7KRHehoCmrT0vZgemcRMNDEiT8osDd7C0oreUFh9EppLdBrYpEd6GgKatPS9mB6ZxEw0MSJPyiwN3sLSit5QWH0Smkt0GtikR3oaApq09L2YHpnETDQxIk/KLA3ewtKK3lBYfRKaS3Qa2KRHehoCmrT0vZgemcRMNDEiT8osDd7C0oreUFh9EppLdBrYpEd6GgKatPS9mB6ZxEw0MSJPyiwN3sLSit5QWH0Smkt0GtikR3oaApq09L2YHpnETDQxIk/KLA3ewtKK3lBYfRKaS3SvYPd9L/4KG+m9ovdOPOm9Q+nVNaQXkymOybquOdss2vbrMquua2PMLb9pGnv/1TGiN1xtwO35z/N88H6XYRheWUh027bFv+ENmAfcwJP0wGEYBgw4xhhrbdu274w8pBf0ymVZ+r4HyWVZgm+Dj99Nb55nh8IYU1VV3/frugYQgo85M9n9PXL0l6AW+XwUef60zBqGAfPEO4NdPo36sSWiN3yccykJ0Yerqmr++1dVlbX2YHgiOsgsa+1/yf3fp3mejx2A9NZ1hSwYhgFu9nw+rbXGmHEcSe+YgPt2Xde+740xfd+LXodUX+x7mL/quobWXJal6zpjTF3XjthuIGcmGKLrug7Gmb7vd+uSQ6TI83dl1rqu1lquZuXgpslsmKapqqq4uKqquq6L412M2JHclV8cwMD3QQVJ7/F4QBz49J7P5zu36aQHaJCq1to3BRZSfTE9OJW/nofNNXF/JmcmkFllLXyIPH9XZnVd1zQNPFXc9fAHx3LDojeUWzWN5eM4GmP80SrOjeiwmtU0TQxHjCE97LfGkwdW048Bkh74gOGfNNa2bb9G75Wn+T6WMxPKLL+lyg6jLZdlgcwSz/CWXdv/WZ9z7/qfjTf8X1VV27bHBRMdZdaxhxx/+2ryo8w65ua+xb3Q8ZKzu9gP/FTPdatZ5d40Umb53lt2uK5rSCvKrLIbUm09hu94mSHI+KcG66Du7iM3DR2KvwbciSI/IWYUcYGQvrdtW1VV4pKzz9aFf4oezmYVfdqPMsu5btmBYRiqqsJBVDQqV7PKblGF9TgOL2bwU4P1KxpN02DlD2e3rbVd1x3fNyMr0ouPwE/TVP/7O3jwgvRAAA8IV1U1z3PXdb77kd62beu6juOI7vl8Pl/1Xxefc3/EjNy2rXsmt65rUTi6qt0SEHn+3NksnHx3vvjmDeUtjXd6oaI3nF5i5hliKeudPkx027aN41jXNVb+1nXFg07WWlFpkR7mQmwdYqMQh99FdD94uigeNJynNU3j3O8LnqqLa/pBDDZk4FRN05Q+muGG5PF4QEDP8wy9xScNP/CN25Lg5LsrnjLLofjBQPXv752KUyjsUsJemHhihvTWdW2axlrrZkH3Qgd3y7dLmDJr2zYoifg9BdhJdEh3Af6O7z2fTyiSGFRApiwmbx44C+qY8qPI87dWsyCq3N2kCwTHI/D6O/RhY0zXdeLSdMpG/bgs0Rs+zrnEhHic/s2HTIlut4ldh9r91kWS3u6hGdCz1jpQuwHSg8yK1zOg8o+PfPwUvXVdv1J6Yhn4uKF3+06aSNHHfktm1XUd3HkvyxK/zw33nVidxnp1kCpN451eiugNp5eYc4Zo5TcFNNHtNiVl1i6WOBJ3dPGTFq/i/Rzoe5BZ8SCM+OPZ99fovbPAXBwTyix/QMg6PAzD7pu+MdL5pgc73HhFuH9BoeHietd1nKEP4vvjVyUS3S4ZrsfsYokjX8mpV/F+DvQ9LDwHew7btnE1y/cThF+t/PlXFudRkFlv7jz4NU0TFnn+ymoWTr7H90M4+nCM6c2H0dK0qKaU42pqci4uLfrtOweQUTWig6IK1mPeuXXm6aJt29q2NcYE6y5YSt/9WQK/Q9H3tm3D04VBh33nLQ9fTG93Pf6d3zXJmUn81hiezfJHg6zDu8Pctm3YEzTGvHq5MG6kjk9ZZl1zz7ice5dn5uVBKIZdzf2qbKJzC1fuUS/0nbquxY1X0pvn2f77c79piBc6WGt5BP5Vp/PjMQ77v9+HIV1c4fhi38O9Ytu2UJ/uNw3FkS1nJqiUOw/tnjTMeQoWef7EahZaDk9Q+4Ma1lexbl9VVXCrtG0bBkfRa/3hIOew6A05G3+ibRigg4WZ4/yJbl3Xx+OBG2h0GbzjV9RYXM2Ca2EWdA/W4Gc04zEn9kP6HphM04Sei5G8bdt3uvAX05vnue97N7sZY4LjLrEvISZnJs/ns+s699Isa+2bDf2qsgniRZ4/IbM+A70sC9r4s+QZphK9IUObMzGJ6DQNQXqkpyGgSUvfi+mRScxEEyPypMzax4uXpL2zIbKfPstY0RuytDoLo4hO0wykR3oaApq09L2YHpnETDQxIk/KrH28b/4Oxn7iXGNFb8jV8PvtIjpNG5Ae6WkIaNLS92J6ZBIz0cSIPCmzdvD2fe//hAje+bZzXWlRojeUVqF09hKdhjXpkZ6GgCYtfS+mRyYxE02MyJMyK8SLp6xxyNf/N7yuwM+iNxRYp0QmE50GNOmRnoaAJi19L6ZHJjETTYzIkzJLg7ewtKI3FFafhOYSnQY26ZGehoAmLX0vpkcmMRNNjMiTMkuDt7C0ojcUVp+E5hKdBjbpkZ6GgCYtfS+mRyYxE02MyJMyS4O3sLSiNxRWn4TmEp0GNumRnoaAJi19L6ZHJjETTYzIkzJLg7ewtKI3FFafhOYSnQY26ZGehoAmLX0vpkcmMRNNjMiTMkuDt7C0ojcUVp+E5hKdBjbpkZ6GgCYtfS+mRyYxE02MyJMyS4O3sLSiNxRWn4TmEp0GNumRnoaAJi19L6ZHJjETTYzIkzJLg7ewtKI3FFafhOYSnQY26ZGehoAmLX0vpkcmMRNNjMiTMkuDt7C0ojcUVp+E5hKdBjbpkZ6GgCYtfS+mRyYxE02MyJMyS4O3sLSiNxRWn4TmEp0GNumRnoaAJi19L6ZHJjETTYzIkzJLg7ewtKI3FFafhOYSnQY26ZGehoAmLX0vpkcmMRNNjMiTMkuDt7C0ojcUVp+E5hKdBjbpkZ6GgCYtfS+mRyYxE02MyJMyS4O3sLSiNxRWn4TmEp0GNumRnoaAJi19L6ZHJjETTYzIkzJLg7ewtKI3FFafhOYSnQY26ZGehoAmLX0vpkcmMRNNjMiTMkuDt7C0ojcUVp+E5hKdBjbpkZ6GgCYtfS+mRyYxE02MyJMyS4O3sLSiNxRWn4TmEp0GNumRnoaAJi19L6ZHJjETTYzIkzJLg7ewtKI3FFafhOYSnQY26ZGehoAmLX0vpkcmMRNNjMiTMkuDt7C0ojdcVJ/H42GtNcaM4+iK6PveGNP3vYvJOUB0mta5hd66rl3XGWOstfM8w/51XZumMcY8n09NjVKmvYXetm1f0G23bUtA7/l8VlVljOm6zjnGOI7W2rquXUw+gQRM8qlsAktEnpRZCVohlyJEb7jC0HEch2FY17WqKmstisD8V9BsR3Qa37iFXt/30zTN82yMadt227Z1Xeu6Nv/+1nXV1Chl2lvofUe3TSCzlmXpum5d17ZtjTEQ9OM4ws3yvI28xaNSdpnEZYk8KbMSt8idxYnecKlxWL6a53kYBn+B4dJCz8qc6DQk76VX1zX0fdu2dV0XJLDA/F56RXfbBDLL9Yvn82mMGYYByt5fuXfXZBK416MygXCiGSJPyqwTaeeelegNl1YAwxB2ItwmzqUlnpg50Wlg3ksPQmEYhqqqitNYKYXCbhMX3W1T0lvXFfuGdV0Pw7ALM5PIe/tjJhBONEPkSZl1Iu3csxK94dIKLMuChfSc7/NeESC6V2Teib+XHnZwiltAdWDvpVd0t00ps7Zti09ouUb8U+DqE133etSfUBRxsciTMquIdjzHSNEbzinmdS7GmN0RZF3XYRjcuZmmaeLlrmVZ2rZ9PB6vs7/wm0LRTdPUdR2eP7DW/ia9aZpePWyxLEvf95gdsRThL3eN49i2LehVVfWb9KBUPu6227aB/y/Qw9MVvgu5IQm+hPvMqqqCJzAQ7//rEl4RuH00u6JSN+Yp8qTMurF1UhctesOlBrn5Pi7l8XjgWAMGZWttVVXusnVdse9jjPmFwdpV3AU+RgdduyyLe+zulqXEGx0Px96ttU3TOJ4u0DSNtXaapm3bhmEIHhYDvfXfHx7auGUz6EZ627Z97HuAjGdffqHn4tFCYwzcyfmYE5o4Kb8sC+4nl2Vx1yRu4sTFuWp+a0DkSZn1rU2/Uy/RG3bSnBSFxSrIqXgYejwe/rPQmNLcglbbtuM44ujDD8osDTpjjBvNsfuDZ+5OatV3s7nR8dq27fseywyxuU3T+LrTfxgWqziO3o1LMjfS0/geaHddh3uk7+658zxba7E9Hdd0mib/vhGX+ZI9cRMnLi7ud18WI/KkzPqyFj+qjugNR4kV3+E+b57nN+cqyKy4wF+4Jw5qfRa6bdsgs+I5ICjxio93OV7XdXi08JW+DypbVdXuote2bZga4zuEIIcrPt5FT+97eKEUnry7xfHSnM1yGgvFvXIh5xuxLyVu4sTFuYp/a0DkSZn1rU2/Uy/RG3bS6KLcZp9bM3Abgl3XBQcUUNSyLNZaf3HLmfBTMutcdNu2IUO3POOoJgikdzzsy7hj75jpsWvTNM0uBDxS5xzVYVmW5fF4VFUVf+WuuTSQnt4pvreuKzZk37y5uojhpfTgM/5eM96etSzLOI6vXppV17W/uOXEGc5m7Z5MPRfOpUzONbWI3ESelFlFtOM5RorecE4xXi54ZZE/P+EEzKvj2DhJ8+rlRj8ls85FhxtovyG8Vro8mNjxsL9cVZXbd962DfNffPoYlceCRCzusQxmjGmaZveu4HJ2Sd5jHtTiFN/Ddq07mfSVq1nQo76cmqYJz0xA0wdg3Vk33zO3bZvnGQfncXLLWrt7jj7O7bOYxP3xMyMLSiXypMwqqDW1poreoC1AnR73ea+GmJ+SWX9leYAO99z+WZC/Zq68PnPHwwLqwak1POV6148WZE5v27bY97BdiI7sVrOGYUgvtrKiB1kWaKygcyXorVkxCapf4keRJ2VWic36oc2iN3yY70nJ8EzTwRhEmfWK9AG6V+s0r7K6Ij5nxzteQHU0sEImHrtx158YyJneq+UZPHPgv6EA4V+WWW+uKDtVeqILBVll7lGBtfl/FHlSZuXfiKdZKHrDaSX9PaO+791JmlepKbN2yRygOzjotpvVRZE5O1797y9eQMWRLB8Itg79mDThnOkd+J6Dk0A3uLLiQCb0Xp38w090+7vVuPLSHepMmMSNVWiMyJMyq9CW/cRs0Rs+yfSMNPHI0rZt8FQX7gWbpolnxDNMEPIoFB00hKvbPM9cj3E08FiAtdadiMdLnnCBLw7WdcUhrUsnP98wP1yo77kqgKSvJNxXCQI50MPdjn+Ey98/9R+Dxdms3ZfBnsgqByYnVuf2rESelFm3t1E6A0RvSGfKf0tyr+H2dxmczHLHkP1v/5vB5Z9KRAdh6kPjeozvKO5nZAJEuAYvxXW/TFDX9S0aK80rCXws74ePuy3yccfa7lqKzqHn4g01gZu5/dNpmvCaXGOM/feQ9dV3kjkwed/N8r9S5EmZlX8jnmah6A2nlfR1GRGdpklJj/Q0BDRp6XsxPTKJmWhiRJ6UWRq8haUVvaGw+iQ0l+g0sEmP9DQENGnpezE9MomZaGJEnpRZGryFpRW9obD6JDSX6DSwSY/0NAQ0ael7MT0yiZloYkSe78qsYF+ZH0mABEiABEiABEiABI5V2rsy6zgXflsEAVF0F1GLW4wkOg120iM9DQFNWvpeTI9MYiaaGJEnZZYGb2FpRW8orD4JzSU6DWzSIz0NAU1a+l5Mj0xiJpoYkSdllgZvYWlFbyisPgnNJToNbNIjPQ0BTVr6XkyPTGImmhiRJ2WWBm9haUVvKKw+Cc0lOg1s0iM9DQFNWvpeTI9MYiaaGJEnZZYGb2FpRW8orD4JzSU6DWzSIz0NAU1a+l5Mj0xiJpoYkSdllgZvYWlFbyisPgnNJToNbNIjPQ0BTVr6XkyPTGImmhiRJ2WWBm9haUVvKKw+Cc0lOg1s0iM9DQFNWvpeTO87mPR9736wKK5jyhiR56/LLPxmmfv5vJRtk74s0RvSm3Rvicuy9H0PH3C/H7xrEtEFWPAry29iefOyoIjv+zgMg/uRRGtt/Pvou1UmvW3blmUZhqFpGryiCb/9N8/zLjE/8rvpzfPsRrD3fxIxTyYHQ4pr9+AFXcMw+G19V1jk+dMyaxgGNBtl1l0Oele5+GFgY0zf9xysP2gF92u476QVh6F3Min6mnVdIbCGYcAPAz+fT2utMWYcx+Oqkd48z9AQGKjXdcXQba09vjvK+Ye3jxv9nW8Boa5rYFmWBb2yqqrjH5/O06MOhhT8tHYT/b0zdL9DUnmNyPN3Zda6rtZarmYpPazE5JjzrLXv91KxI5XI4WObIRGqqnoTy5uXfWxP/gkfjwc0vW/q8/mEevAj4zDpTdMU61EM3eK20RfTg1P5QnNdVywcPJ/P2JFcTIZMjocU6Ctnf24Bkefvyqyu65qmgadmsvZ4tfeI3nC1AZnkjyXo9zXWd98T/7VRlmWx1rodnHeS0/HgcvGqOSbFY4akt8sHQ/cvy6xdLPC0Yyy5eZQ4pFBm7bZ17pG4PVqW5c2+mnt93rMvt971ntUnXzWOozGm67o/5Ut0Dpcb8jCgu/iDAOlRZh24x2dfYTWLW64BPWApazVLHFLcBUFlM/kojm8/uppV1zX0PmVWJp6azAxsdfkr7e8ULXakdzL5gmsej4c7EPPOSgyqTHp938ebhrjZa5rm2DFIL+bz/s3ST9FblsUYU1VVTMyPyYrJO0MKZZbffGWEh2FwhwQx0h0vsZZRqzeszKp3vWHv+ZfgLG1VVfM8d12HM8h4aqnEQ6PnAzrMEfTcjTJl1iGt/3wZH4Gfpqn+93fseNyw/g/HbXs+n+i5bw7aPzXovVo0DRjmw+TNIaVpmqqq2rb1R+y/3ioHEE78KPL8udUsnHx3U8WbN5QnNsmNWYnecKNtaYp2Dyg1TeOeWsITLnVdH9hAdHjcum1bR4kyy6F4J7CuK2ZBcMPh93emCvoe8GKsBj1sR4gK9adEKnZmxF3UfJi8P6SM4+geqPzTc6bvdEz9NWIP/TmZhZPvjixllkPxCwGMRLGiwk7iwQgldqSvp4clBH9iczLr+Xwe73yRHjSWtdb5mHuhg7vle+VCpBeQmee5bds3deqP0MMuqvOugFjwMRMmmiEFu/B/PWIbcDjro8jzt2SWfz/k7imNMcEkMU1T13WYeq21Xdf5s8tZbZM+H9Eb0puUuETIrL7vg3LRaQ+2IX4cHdb2/S4ThIMeFOD9cXrbtmHFNJgFMRxZawNcwUfSC4DgI5SWONH+Ar0/aaxMVrOUQ4qbynd9I3Gk6GO/JbPqug66Jc4MBssbeBkaHvjHNpO/V5K4CU8sTvSGE8vKMyvIrMAHtm1DPGXWn1rNrWaJqeh4YPXqhQ5xvI+U9HwaLoy3jpV13NsZf2IAeiUe0w6KyNaj3h9SKLMO2vfOr4ZhsNbG61Jx0zZN4993xstdd1ZDUXa2vUtRp78lxdAcL71wNetvHP9dHXecV5nQ8SizXvnGx/GYaIM75Di37/Y9HDX+k8bKZDUrbikY9mZ7vbkSvFvK6ZGizb+ymnXgjsezBZa7DtY5Tm+z6zIUveG6ovPJGc+qBEePxbc8EF3cgscdx7+e9LDDFQwjJT5+7zdrsjAWm4M1P/HWCOZ9t+/hEbxg7WAYBn+ZIG6mbJnsDilQVLut/1d9GaM4JUbk+Ssya3eY27YNe4LGmPid4Ou6juNYVVV8lOeUtkmfiegN6U1KXyIWtOq6htJalgW+cfxLAEQXtJT7WY9AsAaX4SPpzfNs//253zTECx2stTwCv+szfiRkVvysWV3XgcLwU32977ltU7xWyv1rjAkEfYAlz/74akhxC1dQWu5Jw3daP6j4RR9Fnj8hs9xz1MGght4LBV1VlT9hoGnxqrfjCfiilrsiW9Ebrig0wzynaYK0wsNKbdsGt0qxzUTnM1mWBet/6CB+x/Evc2HS27YNv+zrc+u6TkSX8xaPa9+rA8uy4MedsBRtjOELHbZtc/MapjD/3+Jk1sGQsq7r4/HAgWnU8f3Wv9ozkb84vv2EzPqYNRo4fn3zxxnem1D0hnvNy7l0otO0DumRnoaAJi19L6ZHJjETTYzIkzJLxotfiZKvy/4K0Ruyr8FtBhKdBj3pkZ6GgCYtfS+mRyYxE02MyJMyawfv4/HwF/OxNrtzXWlRojeUVqF09hKdhjXpkZ6GgCYtfS+mRyYxE02MyJMyawevMaZtWxyuxDHD7zgFL3rDDgtG/SNAdBpHID3S0xDQpKXvxfTIJGaiiRF5rliXzAAAIABJREFUUmbt4MVxS3c0/vg44U76XKNEb8jV8PvtIjpNG5Ae6WkIaNLS92J6ZBIz0cSIPCmzNHgLSyt6Q2H1SWgu0Wlgkx7paQho0tL3YnpkEjPRxIg8KbM0eAtLK3pDYfVJaC7RaWCTHulpCGjS0vdiemQSM9HEiDwpszR4C0srekNh9UloLtFpYJMe6WkIaNLS92J6ZBIz0cSIPCmzNHgLSyt6Q2H1SWgu0Wlgkx7paQho0tL3YnpkEjPRxIg8KbM0eAtLK3pDYfVJaC7RaWCTHulpCGjS0vdiemQSM9HEiDwpszR4C0srekNh9UloLtFpYJMe6WkIaNLS92J6ZBIz0cSIPCmzNHgLSyt6Q2H1SWgu0Wlgkx7paQho0tL3YnpkEjPRxIg8KbM0eAtLK3pDYfVJaC7RaWCTHulpCGjS0vdiemQSM9HEiDwpszR4C0srekNh9UloLtFpYJMe6WkIaNLS92J6ZBIz0cSIPCmzNHgLSyt6Q2H1SWgu0Wlgkx7paQho0tL3YnpkEjPRxIg8KbM0eAtLK3pDYfVJaC7RaWCTHulpCGjS0vdiemQSM9HEiDwpszR4C0srekNh9UloLtFpYJMe6WkIaNLS92J6ZBIz0cSIPCmzNHgLSyt6Q2H1SWgu0Wlgkx7paQho0tL3YnpkEjPRxIg8KbM0eAtLK3pDYfVJaC7RaWCTHulpCGjS0vdiemQSM9HEiDwpszR4C0srekNh9UloLtFpYJMe6WkIaNLS92J6ZBIz0cSIPCmzNHgLSyt6Q2H1SWgu0Wlgkx7paQho0tL3YnpkEjPRxIg8KbM0eAtLK3rDRfV5PB7WWmPMOI6uiL7vjTF937uYnANEp2mdW+it69p1nTHGWjvPM+xf17VpGmPM8/nU1Chl2lvobdv2Bd1227YE9J7PZ1VVxpiu65xjjONora3r2sXkE0jAJJ/KJrBE5EmZlaAVcilC9IYrDB3HcRiGdV2rqrLWogjMfwXNdkSn8Y1b6PV9P03TPM/GmLZtt21b17Wua/Pvb11XTY1Spr2F3nd02wQya1mWruvWdW3b1hgDQT+OI9wsz9vIWzwqZZdJXJbIkzIrcYvcWZzoDZcah+WreZ6HYfAXGC4t9KzMiU5D8l56dV1D37dtW9d1QQILzO+lV3S3TSCzXL94Pp/GmGEYoOz9lXt3TSaBez0qEwgnmiHypMw6kXbuWYnecGkFMAxhJ8Jt4lxa4omZE50G5r30IBSGYaiqqjiNlVIo7DZx0d02Jb11XbFvWNf1MAy7MDOJvLc/ZgLhRDNEnpRZJ9LOPSvRGy6twLIsWEjP+T7vFQGie0Xmnfh76WEHp7gFVAf2XnpFd9uUMmvbtviElmvEPwWuPtF1r0f9CUURF4s8KbOKaMdzjBS94ZxiXudijNkdQZZl6fvenZtp2zZe7lqWpW3bx+PxOvsLvykU3TRNXdfh+QNr7W/Sm6bp1cMW4IPZ0VqLQzbOjcZxbNsW9Kqq+k16UCofd9tt28D/F+jh6Yp4xXRd12EY8C3GwOAJDNx/+v86J7wicPtodkWlbsxT5EmZdWPrpC5a9IZLDXLzfVzK4/FwzyFO02T//bnL1nXFvo8x5hcGa1dxF/gYHcb0ZVncY3e3LCXe6Hg49m6tbZrG8XSBpmncKtcwDO6wPC4AvfXfHx7auGUz6EZ627Z97HtgiGdffqHn4tFCY8w0Tc7BEIDQxHOIy7LgftK/k0zcxImLC2h830eRJ2XW9zX6yxqJ3vAypfqLYRjquoacioehx+PhPwuN2z5XZtu24zji6MMPyiwNOmPMsiwgid0fPHPn2KYJ3Oh4bdv2fR94lKt10zS+7jTG+GrMp3fjksyN9DS+B8hd1+Ee6bt77jzP1lpsT8c1naapqirndfEwmLiJExfnKv6tAZEnZda3Nv1OvURv2ElzRhTu8+Z5fnOuqqrKn+2cCb9wT+wqi8BZ6LZtg8yK54CgxCs+3uV4Xdfh0cJ4YourecwHM2h8hxDnc3rMXfT0vocXSuHJu1scL83ZLKexUNzu2OV7BRYI/b3FxE2cuDi/7l8ZFnlSZn1lu+9XSvSG/WSKWLfZ59YMrLW4seu6LjigsG3b8/ls/v35Y5Ar/6dk1rnotm1Dhm5xy1FNEEjveNiXcRuCmOlx9KppmgDCuq7jOFZVtfuWo2VZHo9HVVXOhxMQ84tIT+8U31vX1Vo7/fv71p6LxzD9F5Pi7VnLsozjGLvTPM9d11VV5e8YOnGGs1lN0wTf+s5wSji9R51idraZiDwps7Jtu/MNE73h9CLxyiJ/fsIJmN3j2BhlrLV931NmnYsOizF+Q5ze1gcZJnY87C8Hkxnmv6qqAnGPFVZjTFVV8dErLINhMzFIeFDfc79KTG/btlN8D9u1330EHnrUl1M4WgrhFQxi7gh813WBkJrnGRfj5Ja1Nkhbukeda39uuYk9lDIrtya70B7RGy4s++2ssVWx+2TTt94Tv81GuPAVOvfiRCH9ZV/n73jrukJR+VOm44GnXO/60YL86W3bFvgetguhFdxRgWEY0m8d5kZvmiao2GBJ1Tlbgt6aGxNX90IDIk/KrEJb9hOzRW/4JNML0uAeMT4HQ5klwo7R4eCI/4SBmMnpF5TieNhq3K0+VsjEYze7aZWRpdDzfc+t3PgvKbil/2ZIz73xddcxnCrd/faUyAyZnFKvuzIReVJm3dU0N5QresMNNv0rchxHX1S9OrB8yzANJoWiW5bF/nsd1F0tmzm9x+PhLyr4DyTiSJbPLXgO0f/q0nChvueYJNANrqw4kAO9aZr8/foASPCcNUTYpTvUOTCJW6rcGJEnZVa5jftny0Vv+HOOJyVomqaqKkx48zxXVRVvGuJ0UdM0l55aeFWhQtHV//5cpeZ55nqMo4Gjx23bwqMwvblNQ38udFuKl05+vmF+uFDfc1UAybvWU3Og5983YgPaWuv0ffBt0GcdxhMDOTA5sTq3ZyXypMy6vY3SGSB6QzpT/lvS8/l0r9vG6ouvpTAMBbsP/83g8k8looMwDbhRZvm+4r+bO3jPO16K636ZoK7rWzRWmlcS+EzeDx93W+TjjrXdtRSdQ891DxiiMwa/cjFNE16Ta4yJR7/3m+P9K3Ng8r61+V8p8qTMyr8RT7NQ9IbTSvq6jIhO06SkR3oaApq09L2YHpnETDQxIk/KLA3ewtKK3lBYfRKaS3Qa2KRHehoCmrT0vZgemcRMNDEiT8osDd7C0oreUFh9EppLdBrYpEd6GgKatPS9mB6ZxEw0MSJPyiwN3sLSit5QWH0Smkt0GtikR3oaApq09L2YHpnETDQxIs93ZVZwkJYfSYAESIAESIAESIAEjlXauzLrOBd+WwQBUXQXUYtbjCQ6DXbSIz0NAU1a+l5Mj0xiJpoYkSdllgZvYWlFbyisPgnNJToNbNIjPQ0BTVr6XkyPTGImmhiRJ2WWBm9haUVvKKw+Cc0lOg1s0iM9DQFNWvpeTI9MYiaaGJEnZZYGb2FpRW8orD4JzSU6DWzSIz0NAU1a+l5Mj0xiJpoYkSdllgZvYWlFbyisPgnNJToNbNIjPQ0BTVr6XkyPTGImmhiRJ2WWBm9haUVvKKw+Cc0lOg1s0iM9DQFNWvpeTI9MYiaaGJEnZZYGb2FpRW8orD4JzSU6DWzSIz0NAU1a+l5Mj0xiJpoYkeevyyz8NOw0TRrKpaQVvaGUimjsXJbF/8Fg/FbrPM/HeRKdzwc/q/z+r1CT3jAMB+8WOnY/0vN9b9u2dV2rqnoTy5uXBUWU8nGe577v3Q+cv/nL01kx6bput2u0beu3wjzPbdvi17Ufj8e6rv6394ZFnj8ts9zYR5l1r5smK32eZ3RUtPi6rvABa+2yLAdmiB3pIO2XfTWOo7XWGEOZ9X7LPh4PY0xd181//6y1Ikb6XsDZTcxB/O7HL6aHsauua4xmy7KATFVVxyokHybrulprq6r6b7dojDHjOLoGnefZKchlWep/f+7b2wMiz9+VWWhgrmbd7qMpDZimKejA27bBBx6Px4ElYkc6SPs1X83z3DQNtAJl1p+a9fF4dF0XJFmWJfbG4Jpt2+h7PpPn84mJ+U0sb17mF1FKGNrdvz9c1xUrQ8/n86AW+TAZx3EYhsDU5/NpjHFKEYuXVVW5yzCMH4/Y7uIEAZHn78qsruuapoGnxi2doG3SFyF6Q3qTcigRPnDcaYlu27a2bTF8Y5gTl2Fc45KeQ+EHuq7zJw//Kz9Meo7GsizWWrfp7+IPAr9Gr2n+bymolNFsd+bt/v25NsWiXVCjqqqstU6KuYtvCYg+9qMyC/PEsizvTLG3tNwVhYrecEWh+eeJ1Sx/jTq2meh8JpRZPo3PwljK2p1mggzpew4Itpa2bYOYcPEHgV+jh9GslNWsuOGwIOfbv7vjBAc4HrTjzC+KEX3sR2VWXddQx5RZF3leKdmO42iMiTd0AvvFjhRc/90fKbP07dt13Zu34/Q90H48Hu4MJbbG3mmFn6IH7S4ukebMBEc//ZZFWwePiWQ1cYs8f1FmDcPgDgliwggWJP02/qaw6A3fVFmxLs/nE1PdO61PdD5PyiyfxgdhTIfvOB7PZgEvHl5xixyUWbtehzUe8YmunEeztm39m170lNhgyKz3zy3s4jorMjYvyPnnZBZOvrvu+tcJI8BX1kfRG8qqzsfWotExUmNdU9zjJzqf9l97Den59LZtwxNh/uHl4AL/I+nhELT/hD9llu8hCEN5vLOPlq1HxTuGbqwO6kuZFQDJ6yNOvjub/jphuIQlBrLtXXfB9N/FcjznEZ3fRn/tNaTn08MNun/L7n8bh0kv3mB1Muv5fB4vafwIPRx+eEdj5bw+Oo5jsOOJVcy4ESGzfOUdd5xkMbF5QdG/tZrlpDF6qfv3VUfF0terbwOU+X8UvSH/KlxhId56dzztEZ1PnjLLp/HXcN/3xpjgrMlBJj/ue26idcN1EDgen3+B3p80Vs4yq23bvu+DvoDmDjYcsB785rZ7kOHpH0Uf+y2ZVdd1MJvizrKu6130mICPu/FuwjwjRW/I0+yrrcJrWoK7qKBQovOBUGb5NP4U/uDOjb4XE8bUG8fHMV9PDzI0mNdiDn5MnkywYxjffhw8aegO//i1Sx8Wef6QzBqGYffRnlc9dhxH99bm9C13RYmiN1xRaP55QjS8ktqwn+j8dqTM8mn8KYzNjj9ND/S9mPCrQXv3yjjya2Kg2v+ksbJdzYp3DNFMeG9W8OoT++8vWOK6q1nFHvorMuvAHXd7LN6DN88zfgfgrvY7t1zRG84tLsPcMMkFT+JgE+d4/Zno/NakzPJpvB/GKHS8bhrnRt/bZfImljcvi4soIqZpGvfUvDN4GIbjQ1p5MmmaJt4xxE9YWmv922CMP8cjtqORICDy/BWZhe2/uGGglOOjEnhBPIQ/Nw0TeGqaIiCz3K+Aud80rOv6+MZI7Ehp7M+kFAjTuNe8Mo/0QAbudzwFxgxJL2DiflLm+LEVpPpieu60Q/yDgPFM5zPMkAlO78Q7hjAbNUWlpmmqqspXXX7VbgmLPH9CZuFtIvjNYH+5HqMeVrOqqnKddhgG14p/+u22W9r4/UJFb3g/q0KvXJYFv9SBHz/Gr/m+83vvRLdtG37TEP3F/csfP36/L3y200Hf8wkvy1JVVTxo+9f44S+m5+Y11xldoDiZ5c+5fvO58DRNOKRVVdVx7VySZAHRx35CZv0Jt9suRCrILEwwf8onw4tFb8jQ5kxMIjpNQ5Ae6WkIaNLS92J6ZBIz0cSIPCmzQrz+Epe7OfiONS3RG0IW/Pw/AkT3PxKf/E96n1D7XxrS+x+JT/4nvZgamcRMNDEiT8osAe93CCxUUvQGgcUPf010msYnPdLTENCkpe/F9MgkZqKJEXlSZgl4cXzn+Hy0kEU2X4vekI2l2RlCdJomIT3S0xDQpKXvxfTIJGaiiRF5UmYd4XVPVH3Hw4aiNxyx+O3viE7T/qRHehoCmrT0vZgemcRMNDEiT8osDd7C0oreUFh9EppLdBrYpEd6GgKatPS9mB6ZxEw0MSJPyiwN3sLSit5QWH0Smkt0GtikR3oaApq09L2YHpnETDQxIk/KLA3ewtKK3lBYfRKaS3Qa2KRHehoCmrT0vZgemcRMNDEiT8osDd7C0oreUFh9EppLdBrYpEd6GgKatPS9mB6ZxEw0MSJPyiwN3sLSit5QWH0Smkt0GtikR3oaApq09L2YHpnETDQxIk/KLA3ewtKK3lBYfRKaS3Qa2KRHehoCmrT0vZgemcRMNDEiT8osDd7C0oreUFh9EppLdBrYpEd6GgKatPS9mB6ZxEw0MSJPyiwN3sLSit5QWH0Smkt0GtikR3oaApq09L2YHpnETDQxIk/KLA3ewtKK3lBYfRKaS3Qa2KRHehoCmrT0vZgemcRMNDEiT8osDd7C0oreUFh9EppLdBrYpEd6GgKatPS9mB6ZxEw0MSJPyiwN3sLSit5QWH0Smkt0GtikR3oaApq09L2YHpnETDQxIk/KLA3ewtKK3lBYfRKaS3Qa2KRHehoCmrT0vZgemcRMNDEiT8osDd7C0oreUFh9EppLdBrYpEd6GgKatPS9mB6ZxEw0MSJPyiwN3sLSit5QWH0Smkt0GtikR3oaApq09L2YHpnETDQxIk/KLA3ewtKK3lBYfRKaS3Qa2KRHehoCmrT0vZgemcRMNDEiT8osDd7C0oreUFh9EppLdBrYpEd6GgKatPS9mB6ZxEw0MSJPyiwN3sLSit5wUX0ej4e11hgzjqMrou97Y0zf9y4m5wDRaVrnFnrrunZdZ4yx1s7zDPvXdW2axhjzfD41NUqZ9hZ627Z9Qbfdti0BvefzWVWVMabrOucY4zhaa+u6djH5BBIwyaeyCSwReVJmJWiFXIoQveEKQ8dxHIZhXdeqqqy1KALzX0GzHdFpfOMWen3fT9M0z7Mxpm3bbdvWda3r2vz7W9dVU6OUaW+h9x3dNoHMWpal67p1Xdu2NcZA0I/jCDfL8zbyFo9K2WUSlyXypMxK3CJ3Fid6w6XGYflqnudhGPwFhksLPStzotOQvJdeXdfQ923b1nVdkMAC83vpFd1tE8gs1y+ez6cxZhgGKHt/5d5dk0ngXo/KBMKJZog8KbNOpJ17VqI3XFoBDEPYiXCbOJeWeGLmRKeBeS89CIVhGKqqKk5jpRQKu01cdLdNSW9dV+wb1nU9DMMuzEwi7+2PmUA40QyRJ2XWibRzz0r0hksrsCwLFtJzvs97RYDoXpF5J/5eetjBKW4B1YG9l17R3TalzNq2LT6h5RrxT4GrT3Td61F/QlHExSJPyqwi2vEcI0VvOKeY17kYY8QRBCeU4zyWZWnb9vF4xF8liCkU3TRNXdfh+QNr7W/Sm6ZJfNhiXVdrbdM0vi+N49i2LehVVfWb9KBUPu6227aB/y/Qw9h1vGL6eDyMMdM0+Z6G+0//X//b08O3j2an1+jeDEWelFn3NlDS0kVvuNQaN98flDIMA8Ya/5p1XbHvY4z5hcHarzvCH6ODrl2WxT12d8tS4o2Oh2PvsYQKIOP8ciCzQG/994eHNm7ZDLqR3rZtH/seCOPZl1/ouXi0MJZQvqfh2FZ8TeImTlycT+ArwyJPyqyvbPf9SonesJ/sjNhhGOq63r2Tc9nP81xVFeYzF7ltW9u24zji6MMPyiwNOmPMsiyAid0fPHPn400QvtHx2rbt+/7VEinqPo5jXdfNvz+fhk/vxiWZG+lpfA8ku67DPdJ399x5nq212J5+VVMoftCIV7N8x7s6fKNHXV21W/IXeVJm3dIu9xQqesNFZuE+b57n47kKR0djmeWs+oV7YldZBM5Ct20bZNarOSAo99yPdzle13V4tPBA3y/LgmNbVVUFq1k+BMygwezoX3Bd+C56et/DC6WwhHOL46U5m+U0Fop75UV93+OOkatZ13WWW3IWeyhl1i3tck+hojecbpbb7HN7VdbaqqqwGeG/IvLxeGB4Olh4+CmZdS66bduQoVvcOr2tDzJM73h4P5Y79o6ZHu83aprGh9A0DRSAMWZ3glyW5fF4VFXlfPigpld8lZ7eKb6H427Tv79v7bl4DNN/MSl2n5dlGcfRf2nWNE3W2nVddxU/fA/nJZqmufpB7PQedUW/yCdPkSdlVj6NdbklojecbgFeWeTPTzh9FRzHxu0gJj/KLLTCueiwGOM3xOltfZBhYsfD/nJVVf50hfmvqipf3GNTDJbvyixMivjKT3hQ2dO/Skxv27ZTfA/btd99BB56NJZTEF7uLDwOqMF/dmXWPM+4eFkWwHdpT3enNCt8V5idbZ5iD6XMyrbtzjdM9Ibzi3wvR/9NM+5pHSx6+Rl86z2xX8e/ht9B516c+NfMz7o+T8dz24WoJrTUPM/xmhaecr3rRwvypAc15p4JCLottguhFdxRgWEY0m8d5kAP24VwMyez2rbd3YNO0FtzYHLW2JJDPiJPyqwcmimRDaI3JLLjv8VgFPYfZnbh/174fz9Pln6Yhg3losNKof9rawHVBB/zpOdWqpy/uV2bmAlWyGIFFl95ekye9I67LVRXAPaW/psDvZgDYnZlllOlpzuSyzAHJs6YLwiIPCmzvqCV362C6A3vZnTlddw0/JhujA4LNvdqrFI2KYJNQxzJ8tsiuMD/6tJw6d02gW444J8bPbea5Wx+PB5+D8Vq1qU71LkxcSgKDYg8KbMKbdlPzBa94ZNMz04DreAfUkYJOF3UNM2lpxZe1aZQdPW/P1ep3R0x9+11gSLoubdkgYMvDtzJ5Usnv1f8i6D3qtu6s1m+knhV0yvic6MHmeWfkvSFF85miS+DVYLKjYmyOrcnF3lSZt3eRukMEL0hnSkvSnKv+PNN3d3ceZHBVdG+PVeVocs3RgdhGmxYcNtrF7N7ts7xwUtx8cQiFNgtGquItcDY9xxkd6ztlh3D3OhN0+Q8yu0YTtPUNI37qQY8D+sAXhHIfzS7otbX5SnypMy6Dn52OYvekJ3F2RhEdJqmID3S0xDQpKXvxfTIJGaiiRF5UmZp8BaWVvSGwuqT0Fyi08AmPdLTENCkpe/F9MgkZqKJEXlSZmnwFpZW9IbC6pPQXKLTwCY90tMQ0KSl78X0yCRmookReVJmafAWllb0hsLqk9BcotPAJj3S0xDQpKXvxfTIJGaiiRF5viuzgoO0/EgCJEACJEACJEACJHCs0t6VWce58NsiCIiiu4ha3GIk0Wmwkx7paQho0tL3YnpkEjPRxIg8KbM0eAtLK3pDYfVJaC7RaWCTHulpCGjS0vdiemQSM9HEiDwpszR4C0srekNh9UloLtFpYJMe6WkIaNLS92J6ZBIz0cSIPCmzNHgLSyt6Q2H1SWgu0Wlgkx7paQho0tL3YnpkEjPRxIg8KbM0eAtLK3pDYfVJaC7RaWCTHulpCGjS0vdiemQSM9HEiDwpszR4C0srekNh9UloLtFpYJMe6WkIaNLS92J6ZBIz0cSIPCmzPsT7fD7btnW/gPZhLmmTid6Q1pySSisaXd/3j8fjRtxF07uRG4oumh5973b/iQ0o2qPi6tweI/IsT2bhp+Dxoo5dlRP80vDuNcqGeT6fXdcZY67IXGnbQXLRGw7SnvsVfpf3gN66rl3Xpfw51eMK3o5uWZZhGJzzW2u7rpvnOTDbXRC8yWYYhuDKlB9vpxdUdl3Xqqp23W9dV3idA3ivQs3hx48D3zPGtG1L3wucyn18Pp/u96EPfgc6mKesteu6ukwuDeTWHy+tbILMRZ7lyaxt2+Z5dtNJ13Uxx3Vd27atqmpZlvjbs2Iosz4jOY4jZrLdeW7btnVd67quqgpD+TAMxpi6rpMNQ3G9xI4UJzkxZp5nY4y1dpom8AETa23g4U3TWGub6C+eFE80T8zqXnqxeQf3SMHkZ4wJCMe5XR1zLz3ne+M4+r5njAmcir63bds4jlVVPR6Pvu+rqsLAFXtIrOZ3J7I44Skx93rUKVXIKhORZ5EyC4jdHQP6f8B9HMdXs3hw5ccfKbP+ig76uK5rqORXDYSp7vl8uvwxL964JCN2JGfqFYFpmowxgZ/D/4O1FuirK2zQ5HkvvcDy5/OJ+W/X/aqqulHNB6bi4730Dnyv73vfYPoeFukdEyyaGmNwd+Tit20bhiHouf63V4fv9aira5c+f5FnwTKraRqntIL7qm3bpmnaHUZPbAPKrL/CbNsW4glj96sGwlqXn/nz+Xx1X+hfdl1Y7EjXFf0qZ4jRYLDmVPcKF+Ix88GdYvcbxzHgeZxbmm+z9b0AIH1v/ffnewU6aSyzfnlt3ufzHWGxh5Yts6ZpwjpHvHuyK7PcrjmOtgS3rf55oLqu/dUUeMM4jhB21lr0H3+gwU4ljnS0//7i3nWvV4nekMy8A5m1+9WyLACbzMKgoHzQOcPgisESF6c6x2c30Lbt9O9v9x7JrXINwxAMDru5pYnM0Pf6vjfGcDVLdAAcMA18aRxHY0xVVV3X3TJHZOhRIsmcLxB5Fi+zcI4nPrsTy6y+7+u6xkkLiKS6rl3jLctircW21DzPmMN8pdX3vbUWs9o0TfHpoqZpcOARS8e7a8WuuFsCojcks2pXS6F0nDry9SviIbNuGZVyOIYcNA1G6vg8B2VWAMr/OAwDlMGu+wGpO/lurfW7v59P4nA+3dZVHHo0OLVG33N8EJjnedeLQM95Wtu2gQ4L8jn9Y4YedXodU2Yo8ixeZuFUJhy3bVsHN5BZGFj9cSFYDIBIcsmxrVBVFWKQ3D8bFO87BLqqaZq7NIGrRRAQvSG4/rqPu/MciouXCRFPmQUOeMoV66lxAzVNU1VV27a4DcCqre/2cZIEMTk43rIsTdNgPjtwv2mahmFwE2GwWJiAVVxEDvR8q9BD491V+p6jtK7r4/Gw1vpTkvt227ZlWdzj6vEagX/lFeEs/CCOAAAGw0lEQVTcPOqKOqbMU+T5DTILzx5iXnHr2IHM6rouWCDBYIFugD2pQBVhXsepLxzZDlou2HfAc87uvmQcxyDDIHn6j6I3JDPpYJ6jzHrVCoAGt6zr+vF4OGdzSbCvDcdb1/XVA4nu+jSBHByvrmt3gvPA/QAE5wfwdGcMOQ00V0oO9JwxQBcvo+Ihu7qu6XtY/HaLVcfHsNzGSCxbHfPTA1l51Om1S5+hyPNLZNa2bVhecg9kBTLLvQDCeT8C0F7+BBZcME3Tuq67568DmYXzClVVZXWww/c50Rv8iy8NH8xzlFki+Xme27aFCBBXquCWu/OiWNBZF9zueI9/f646B+7nrtm2DZBvX9C6nZ5jgl2w933pl31vWRYsaAXThIPpAnhlhts5cfHXBfLxqOvqmDJnkef3yCzcTkEkzfMcyKxjX8fU/mrx6dWgHOeJl6Zg/rt9dI79TPSGOMlFMa+Qbtt2LLPcgsRFhr3KNh90zkKIAHHOA+p77b+3dBy1dNzwGHLcef0LEMYid8plhtiGfM4F/lVjOc73tv69pUNCiTbgQa7d1r8iUrTnikK/OE+R51fJrG3b3IOHz+fT3yXE6y5ftTRWwl4JI0xU1tog+auRehgG7GC+yjDIJ9lH0RuSWXIgs9AW/tMJsAoCOpmFQUH5oHOGAZR4E0yZBT0arFK7j/4o4di6gFsddzHpAzn4Hl6Ecbz/FZOh77k10RiOH/N4PMSO7F+vDOfgUcoqZJVc5PltMmvbNuwP4l3YrjEw1MaPDuFWFfcc8dQ+/fvDpmH81uNAZvkH5HHnF2fo7LklIHpDMqsOZJZ7d4N/JgbXvzpPmsDsfNC5yoKJ6GO4LL5JcPkkCNxLD2/Dwr4h/sXNGN7WfXAvBFf0/TABq7iIe+nBHryk8K8o6HtYnhclVNd17lRx7ACnx+TgUadX6sYMRZ5fKLPcKx78+1TX4X2l1fe9G2Qhzvxna/HKcjQeVJqfIbSX33+C90djYLqx7eOiRW+Ik1wUg+bwefoFoS1c07hFSr/t/OsThO9Ft7upjYMv/pYWqAZ73798PuaVY+y63zRNwUG3rut8vK9yuzr+Xt9z+/jBfv00Tb4yoO+9cgOc1nXfLssS9NB5noO5w118UeB2j7qoXndlK/IsVWZh/enVIIiXYAWzOG5h8V449+yxaxisP2ErAS+A8ZevkCGWr57//tyZ+r7vMQDhW4zUGHT89S1X0I0B0RuS2Ya53yfsF422cD/h9+odUX6Sq8P3ooPMih/jCjZx4HWOm3vSMLjsalZx/vfSi+2JZZZbQ+37fpomHDnwZUScSbKYe+lh6It/KDPYLqDv4Sd0/N/VXpalbdvg9CSmobqu8Sj64/Hwn4FN41T3elSaOqYsReRZpMxy5yoQCG4OwNdfi3LE3Rtxdl87hF7hlFZw9+Z/i9eQWmu7rnOX1f/+kLyqKn8xxhlwb0D0hqvN83/z2zViMF7DBvcwHWTxKz19tcEu/3vRLcsyDAN+mhfcdl/ogLf1iJe5SiUL3EsvrmYss7Bm479sbHdUibNKEHMvPUh811v9gH8fS9/De4XwOkY8BYWfHAg8xB8D67q+5bH0ez0qAPIFH0WeRcqsL2iYW6ogesMtVhVRKNFpmon0SE9DQJOWvhfTI5OYiSZG5EmZpcFbWFrRGwqrT0JziU4Dm/RIT0NAk5a+F9Mjk5iJJkbkSZmlwVtYWtEbCqtPQnOJTgOb9EhPQ0CTlr4X0yOTmIkmRuRJmaXBW1ha0RsKq09Cc4lOA5v0SE9DQJOWvhfTI5OYiSZG5EmZpcFbWFrRGwqrT0JziU4Dm/RIT0NAk5a+F9Mjk5iJJkbkSZmlwVtYWtEbCqtPQnOJTgOb9EhPQ0CTlr4X0yOTmIkmRuRJmaXBW1ha0RsKq09Cc4lOA5v0SE9DQJOWvhfTI5OYiSZG5EmZpcFbWFrRGwqrT0JziU4Dm/RIT0NAk5a+F9Mjk5iJJkbkSZmlwVtYWtEbCqtPQnOJTgOb9EhPQ0CTlr4X0yOTmIkmRuT5rszyX/7LMAmQAAmQAAmQAAmQwDkySyP0mJYESIAESIAESIAEfpPAW6tZv4mGtSYBEiABEiABEiABDQHKLA09piUBEiABEiABEiCBlwQos16i4RckQAIkQAIkQAIkoCFAmaWhx7QkQAIkQAIkQAIk8JIAZdZLNPyCBEiABEiABEiABDQEKLM09JiWBEiABEiABEiABF4SoMx6iYZfkAAJkAAJkAAJkICGAGWWhh7TkgAJkAAJkAAJkMBLApRZL9HwCxIgARIgARIgARLQEPj/AI+5gEy5Qr3gAAAAAElFTkSuQmCC)\n"
      ],
      "metadata": {
        "id": "n8ybatQVX-u2"
      }
    }
  ]
}